{"data":[{"name":"Protein-protein interaction","means":[[33.186235311012425,29.905434923597674,25.181544971823556,23.056546822999447,19.138387861801352,23.10483196504147,20.727007071736914,23.45679707143375,24.63882204751762,22.05959456443409,25.194788229769713,27.6699005593284,22.59005027094449,22.707925327206766,26.06478481657155,25.137887916436892,20.787257585171563,22.983968884913423,22.080143009914803,22.494722727797487,24.33274724349435,25.51438212285471,26.15613094819402,23.88257856973796,21.198187542534136,19.523291961271443,17.569960766399852,16.90410641723708,20.593105980321514,22.826917591243923,28.464189801181234,28.110481760132448,32.649707862129674,33.91395420128727,29.899929651554217,26.428727050677317,25.44784404550855,21.70007140354257,18.78798680915695,21.76992040700522,17.610213961912386,21.40364163264845,24.745971395138152,22.914599751231506,23.4958091495065,21.93669983248812,26.174110600672957,26.00504582739276,21.880006447269903,25.837170682218495,28.68411728337962,29.496041665576044,31.14659159698578,27.052790528138697,32.0054319647055,33.69175186253149,29.881505664545355,30.814083552626794,35.36720418219075,33.90014645106085,31.15636068255543,34.52775767856882,34.25484065890039,35.00775857103055,31.32859921667442,28.827118738289418,28.231181333826,27.44977034827047,26.328382648411267,27.37538507352113,26.838956662969597,30.365619617765237,31.201257177165584,31.37679426343008,31.103242299513667,36.341308038475646,32.61697037805766,36.36304109770911,33.49868052920236,32.254715717542936,30.62173441906561,27.576654771001436,27.76795084739207,25.322321405953357,21.284602301231583,23.07032946674269,24.896846844195146,28.473566966367006,28.324307124889337,33.94092567126792,32.76671342167029,36.92556474192632,35.37674418269108,34.80373476447873,31.16436583345046,33.896982173936784,30.748612606234186,31.49861895968209,30.14736692499611,33.35359644410546,30.03379839918882,29.478327658933154,26.95687324619966,25.695392813723327,24.482442879560065,21.898463718116883,24.54356296615689,21.876504094916623,21.021575317172708,22.450617690185823,20.66879029111489,17.308432880863716,18.16384759208288,14.176743629040871,16.233627782505618,13.138714875125808,14.938597603496815,12.610424074484998,17.97724253726524,19.583964971457476,18.767780729084254,18.444624544127212,14.86228492351293,14.767162622291233,16.312434515675562,12.399902453038893,17.46535170573524,14.737440812056267,16.040169622784994,17.18207358904681,15.731128704904895,19.28555574800567,16.33864190407583,18.58223626801669,12.883303031290044,11.070927154998344,10.111605475780138,6.92098984217312,6.2044906523291266,6.625734000559337,6.5888347869904065,9.529957518728265,11.856526024557091,10.380449355750072,13.101751796946509,15.57084084779587,13.739562788967792,16.910099556102654,17.928094275121378,20.46551366014307,23.357616362473756,26.829880674587887,30.55698565051819,34.472172708376334,33.437756649418056,30.629173491170622,26.908481626353886,25.54802310417237,23.468196735934672,20.736838065582276,15.45574973665262,17.167216597580598,11.244037154723712,14.597957825959726,11.018341925451638,6.060308074967349,9.43967465640419,9.767673801901298,8.955875878006728,5.052143761558394,7.555086482055032,6.990132385560479,11.73027378152781,15.21388312872302,18.32571939773042,22.016419846121366,22.644344229588718,26.587040256255957,22.690684659658057,23.55096720416569,18.45779556796424,18.94516688830386,19.48692743371166,19.555265878700652,16.176141604831862,17.899060805174003,17.598655192406472,19.871752844985753,16.045619444346155,17.757920921562114,17.287687765374717,15.909321907470716,15.620662074230411,15.009717435867875,16.904313479760773,18.705663140782665,16.257046337907582,19.860644460129635,21.102703376634867,21.507270228116454,26.243747359684043,27.092635480139506,23.97989308190629,25.676282078338488,29.76961770299519,28.70402903373916,26.36204335676898,30.438795242859552,33.872177066060964,31.308919477903334,32.597940587632976,36.17675833233184,35.66113119365161,34.41663526011974,37.44537263411401,34.830560959352994,39.48701996993497,35.57526599368009,34.608766181935856,38.33884599321177,39.829534297937364,44.630785848331804,43.675416761580465,42.89806564000234,39.764948483681295,40.19439990540917,36.452983487258514,37.97075923195923,38.35949038128959,32.82937898447983,32.5150811151188,34.40475066325885,32.02767207361395,28.596294439710046,28.722382191962556,30.00658752401548,27.63098415179408,22.74354935098209,24.640204472026273,24.705860015634663,28.52901367787489,31.22403475787695,32.303822680845265,37.05195328486829,33.27921463193733,30.168525798479365,34.965621149711296,36.61653081046485,32.213743960995735,33.168895426624466,37.47534579188437,37.134740274271685,34.937932536150086,39.00781948729268,41.22892457901772,39.02998634483752,39.45844068545987,42.319480707590024,39.72147689717584,39.9489799521424,36.64303714150416,38.63107664381289,39.926145013045605,34.62674095633862,34.25844037836382,36.75936279728146,35.29764754390915,30.731726240103015,34.83001655048762,35.90077482126838,31.094884418241033,29.30729589460799,33.908868928306845,34.31277899798245,31.029444077050098,29.057647377794567,32.08742712121533,31.179231907562972,34.312174998726384,30.812947959958233,29.666244568746894,29.159607223747347,28.39153065190046,25.82579594550252,25.543717685660106,22.527311573341077,24.043938281267483,20.690845952254215,19.589906336274705,17.358277031094204,24.21121783169642,25.092990462422346,28.9054608290139,28.41277265626796,25.401878857958067,29.976475521177086,31.540160898469903,26.614606024618112,28.885021928579945,33.01550374449192,34.04929182781984,33.6137583584783,34.80296502001141,35.26064763343038],[29.773971129907128,26.487149605456604,21.854184626785667,19.659363455552423,16.03216340652897,20.24784498645196,18.29139884875239,21.45727336758053,22.6953260662801,20.606511449737347,24.004020878650557,26.545764188361332,21.925444510762915,21.876057019259008,25.750532706989407,25.095169710494755,20.994867436971536,23.806818847072094,23.47297197415714,24.253002902975833,26.44220938574942,28.034063570301495,28.76354817002834,26.653582514896428,23.891588355114582,21.731384211525935,19.602591959579282,18.210023234913987,21.573198526966817,23.355576532547346,29.01962501329284,28.418325915806395,32.99675663719127,34.74019292948922,30.843904254459186,27.601734947849835,26.40267922534233,23.36646118555608,20.75393273473505,24.213439900270508,20.355331063038648,23.891442332788692,27.443291504611665,25.839007532098663,26.705891156427885,25.283680654544366,29.536939395923852,29.143581869505127,24.96911049675554,29.025865992085127,31.702768150556476,32.3285537132212,33.908690599512305,29.603800193959945,34.43225310983142,36.43556972962887,32.694215370881324,33.28464924893109,37.943035254833916,36.793601289708,33.861833005091036,36.94865616753642,36.35176855047501,37.32941017237653,33.81609471839327,31.02998512024951,30.120781756445197,28.891084660895398,27.522978401363297,28.029591451836094,27.46652925518793,30.96442597554074,31.964603224767686,32.66525040507981,32.25561849160243,37.80272128381886,34.327801381275954,37.94283468180568,35.2484141243121,34.332962408016726,32.43461422512974,29.656688187148113,29.330387127401224,27.14167745838608,23.275313633492356,24.71245933175026,26.810891620343448,29.922093986656954,29.948237681271817,35.25316995106017,33.94820835898411,38.054165678338364,36.15492759441039,35.267004250191526,31.321201012983423,33.81497473282243,30.357974068366122,31.274038835344214,29.582620804726325,32.51442263216462,29.841956002712706,28.939389920754838,27.09408140330947,25.36198324363399,24.668619492921128,21.39283758802338,23.889677411335104,21.170019190243533,19.598124598797042,21.165294470722653,18.818614593748173,16.00957209043794,16.502031313934502,12.912075100882292,15.441273932256577,12.611366965830197,15.310985973231348,13.402680190854815,19.253975604211387,20.278057805605027,18.974044394775426,18.0357476953192,14.071764749890406,13.370388420556479,14.307417199290775,10.310378484271496,15.042110061920374,12.807677854411141,14.381052012939385,16.52843272970119,14.504091399515698,18.590998389912816,16.373622585224286,18.824355550094502,12.972181613947837,10.670809031541253,8.440961547678443,5.296148051855458,4.608837030913769,7.1899914066207895,8.238477880168476,12.272531874387274,13.954027384538305,11.971205355532105,15.094173992355335,16.730063756398838,14.326647575154507,16.84830488855226,17.409404980879774,19.292783345395875,21.979359912689045,25.26881868674694,29.13753063081466,32.73602005178488,32.08292358480225,29.595072600820412,26.039145230775627,24.697087459377894,23.155904355063782,20.305961420539514,15.624916513571979,18.128533370686807,12.595449932398193,16.534529573704575,13.552822525054049,9.047803877086238,11.65372059801866,12.248305306000052,10.228061820903205,6.435267246888869,8.377137320374326,7.940724194246199,13.14534073694939,16.391197582664482,19.426634533422064,22.7315420614754,23.27082474374606,27.48973956067743,24.06813382851812,24.719932995554753,20.014627308577612,19.446931193625176,20.56688409348447,21.048946148423695,17.843190194343293,20.312869347004163,20.202790395919035,22.85093915116588,19.37063596149606,20.75614323467475,20.060186108717257,18.32046714628051,17.431865291096138,16.10914505107311,17.41928208702289,18.578737038232497,15.360022346851753,18.725311966333187,19.239928328603938,19.67139141419557,24.29519754395148,25.1278365792276,21.746443370261417,23.13605177210836,27.35815144447891,26.108875777739144,23.32014375664993,27.557855104418515,31.186877455900987,28.28740263386206,29.43557484822102,33.11221692033532,32.612270013427526,31.12219940665967,34.140227672120055,31.510795812059083,36.32172100558492,32.38701659080802,31.5908403558828,35.415185313018185,37.15248191262997,41.91133533396944,41.20754921257895,40.65855126033997,37.71778997331818,38.45022280985266,34.85747719982482,36.6366416959216,36.70712546942761,30.985349846671557,31.111882662615496,33.096387342943025,30.32152824671932,27.01302653888913,27.66363749072648,28.58831544081895,25.799276695901312,21.448111004058116,22.728642578385976,23.489600888243643,27.35628261489339,29.68559947208116,31.13002337258866,35.715444553802534,32.11189162734831,28.77699636247501,33.21359083262898,34.978884259778106,30.43465606753686,31.02303800326944,35.319053563201024,34.9049060417043,32.44006048246479,36.555643591527534,38.747092647399114,36.3408904168782,36.66997389307946,39.63464682859707,37.03563301757045,37.529488835066715,34.428022686071365,36.52819251845435,37.468689872913394,32.03426743017047,32.03512409472199,34.36504443402962,32.65811560136823,28.264279785514333,32.62983932983926,33.35625120183695,28.358022733221887,26.982996949502255,31.6707268638322,31.72909340717973,28.275653918474095,25.990931843652604,29.120864837575937,27.945567460333322,31.048729590430543,27.387338429753587,26.364838430853435,25.774463140471646,24.85799416971291,22.371423399007472,22.197689281696128,19.29515908683948,21.07989114559554,17.72224116110828,17.18278561941967,14.828900042486625,21.511022369642834,22.87032732115794,26.67846873628087,26.399820765569967,22.938399301434853,27.294839012762775,29.032634426315354,24.078666829256335,25.872993889398014,30.119506483006308,31.311845265689822,30.9506284956363,32.32179047069909,32.942668602896646],[26.230061724988055,23.029602384071087,18.87031656797199,16.1148714755094,13.792241396020584,17.941068937279656,16.72105371538541,20.59894189237763,21.431358953183576,19.902234775238224,23.452144109129303,26.296283619753574,22.394028078061925,21.680570766632727,26.196974196988556,26.108229886829363,22.284647843874065,25.57696426807376,25.571920482304563,27.033618595310557,29.348826206344764,31.49200803644538,32.06732429539368,30.013114616310624,27.42763425502498,24.71675638205069,22.774649250649198,20.746241820183975,23.843463806962912,25.321657115077496,30.569873256155432,30.073249076243766,34.569065565787916,36.76116129873259,33.15557321242234,30.078297096377852,28.975060337652938,26.567069226755617,24.36500666578035,28.42911831914817,24.5613951475955,27.601675377663167,31.436082452814684,30.13654856095002,31.093183050988472,29.864341782414392,34.13327798731125,33.648187448398,29.59477662869866,33.80091400970466,36.36559243580116,36.97167747781702,38.41423915951689,33.93667200068938,38.613432178189754,40.77505549806275,36.96180937280834,37.234144725234515,41.965497206625805,41.00210352479768,37.74048113207343,40.463498220126944,39.54264628900865,40.50786571149895,37.23367387106787,34.29267963013835,32.73786762412527,31.156864420319245,29.226231527089407,29.187143485788333,28.374922653431888,31.631821759644296,33.07862856671765,34.381466265271584,34.1229905968133,40.02632684721029,37.03346144354482,40.60763528415942,38.25970306692177,37.79050955646732,35.86194896250042,33.49990808583878,32.869124075668886,31.069079591819605,27.315097010208927,28.241983289844715,30.299805540289785,33.011846057947004,32.877092505507804,37.82857780731466,36.169057226388865,40.03203026702097,37.76094190148774,36.640006532773214,32.366876999569214,34.41078208673944,30.593800431621826,32.07883189926365,30.133109988177544,32.90629041450648,31.147454539823666,30.15729754083018,29.133649516336614,27.165264592683332,27.305291326170714,23.370339221506192,25.753790440584524,23.147277278522576,20.672135952198552,22.216260937269865,19.037412764980573,17.036331552590823,16.556531759233543,13.664631790543377,16.022731136688535,13.46762454505571,16.83927237201602,15.107253056919195,21.07513914810269,21.713007845205933,19.683040603000745,18.216613989111696,13.791821537220113,12.750915176691093,13.122245092488727,10.112012968924558,14.180854705056376,13.297833226220469,15.370328592983219,18.731488302790684,16.236835748261477,20.745387735001184,19.42587450847685,21.955523696530005,16.269608991305773,13.581137478638347,10.34609822542717,7.857693358441891,6.524701199975829,10.381604275326634,11.106105376032444,15.832807814482022,17.117390839183205,15.134252350903063,18.69682009887271,19.5949542273795,16.772268802015102,18.643915612003312,18.95195427890117,19.744208416077953,22.33373645204622,24.9965100473565,29.17895375616604,32.06542873240151,31.833884211850044,29.96120224299388,26.61042395710381,25.617375008007222,24.610269106015707,22.099506499766143,18.296921611490294,21.168740454227006,16.214400624899184,20.558858741609342,18.222141028924007,13.939796609576442,16.371214355917996,16.83875707118563,14.270358475466328,10.96945635369275,12.582347525889796,12.144413937456488,17.27807485614214,20.14920523476798,22.890855545132776,25.76605474318289,25.923506980285488,30.517947976243338,27.648578186076083,28.257991115505273,24.041067889013892,22.623625374533646,24.37025503224783,25.194935012980597,22.15057785133261,24.948447363529365,24.757762213078735,27.67721174368044,24.23806075049407,25.651358287793194,24.850088580568187,23.024689121753617,21.778305680730607,20.00997655014888,20.779041292714915,21.201998968224576,17.31206490343155,20.23618762634588,19.659976060227834,20.178772538887614,24.418440861195172,25.19732806218373,21.452998125769817,22.222751443088942,26.575868999258276,24.96191642715211,21.272191403931398,25.79446723849849,29.758075179774522,26.110422876747464,26.92990719380778,30.80180728793556,30.257166430549447,28.14225125257119,31.17363980961603,28.540640735993357,33.73109611548299,29.674403685529914,29.38563624557486,33.39227522750241,35.58625632298248,40.19283781997915,39.96620682018597,39.90038213276173,37.32683872983739,38.554899397642465,35.27861474180465,37.37229204901567,36.91198486115835,31.034439656815444,31.84504796330885,33.81803657654232,30.466864725776524,27.4911054403656,28.842820881273358,29.055570659098723,25.727358686800986,22.437632655242826,22.861570375479292,24.740625215877518,28.54271339757473,30.315750744717395,32.266649137161785,36.539320359921916,33.214021907773464,29.63337804477783,33.4396143639552,35.314432013471254,30.599813302739097,30.608209726901027,34.77810390860616,34.18213615824504,31.296539489005486,35.48551967852939,37.545031149429434,34.70651461036116,34.91710958084662,38.08637599156949,35.532222200267874,36.544918863687116,33.86259593294658,36.11724668077199,36.39978940935345,30.79388020185158,31.47154246649982,33.401734515060404,31.252962031522042,27.271455898608984,31.95776878091104,31.965193560178953,26.701766937382104,26.122543841412703,30.74912730802443,30.092359951871206,26.37465491601388,23.516516888910793,26.55307186749471,24.757506693941238,27.974921171295815,23.98044068134126,23.49606932253568,22.660187610262643,21.150768918010474,19.020002313516546,19.011450976424797,16.628517206808755,19.226009922544392,16.082671635708756,16.819424464885902,14.300846250985208,20.1933157303171,22.39768734583055,26.093208783497577,26.012886951136483,21.84371163747179,25.70671474940267,27.5642533452031,22.498610857116425,23.414902818541933,27.850243182613898,29.13682077853954,28.782060487026648,30.463044970740576,31.348441533467312],[22.852535622900273,19.576811631865272,14.887082844969374,12.757257204166804,8.806594531425965,13.086616195563264,11.694966525133434,15.276388106238532,16.95690084677172,16.112549166423406,19.860398954854965,22.033192806371535,18.55548297294157,18.805089767804297,23.19403296348545,22.804716759605395,19.689224563782293,23.599550563597013,24.819477307122504,25.791653998685,28.840630655440425,31.006488191206657,32.247168818362304,30.81562824477836,27.61651983539324,24.753221284121146,21.992555687570317,19.329452512658502,21.510372438790043,22.022291498744774,27.724358731199423,26.2869717652276,30.782111123463707,33.4650331337033,29.85872377072826,27.356146985267905,25.536796770296885,24.254734688706247,22.397043576894383,26.582332881163442,23.74591683119772,26.70572804133278,30.459352812714847,29.398883486422093,31.09043136343253,30.14209517995231,34.351007040187895,33.16645201355466,29.02357164355393,33.369449745722875,35.361156421326854,35.506601297061366,36.75607762833751,32.013544209130295,36.38115099443119,39.1432726911806,35.69247130368035,35.418294111873024,40.22634489879309,39.97768767933126,36.76045014733362,39.16074887500114,37.84403044902741,39.58861442175774,36.47027444986454,33.010985384281824,31.914372467860584,29.6804565969745,28.38832945638373,27.717656846047962,27.529057281452136,31.05017562578317,31.834550762787135,33.49031722529931,32.37153958054511,38.250725159524514,35.16458899394013,38.2489142295393,35.85540867142995,35.6022297112302,33.049080781322935,30.929942461803723,29.46437590411116,27.98894698256597,24.694752423198686,25.268526583245535,27.940208157193158,29.85524844534783,30.493774313959847,34.91759146759443,33.61962884697562,37.65216948545747,35.112029293805676,33.50511465197683,29.1606809723154,31.267481340116532,27.437017989230977,28.16321275486419,25.78743230638164,27.936286460608446,26.496983262895107,24.868874986756882,24.401865947864906,21.885514861458528,22.456003998781306,18.09657716136388,20.50001017094659,18.26258837459777,15.384610811169807,16.55359048654343,13.15662754839505,11.462095293523793,11.16043496570084,9.079041428398302,12.6725873090142,11.41645286223354,15.393384327621062,15.258844035660047,21.23510177352603,20.593546871471858,18.932190923932286,16.696852965814642,13.179697331721401,10.727679728556327,9.554540268217291,5.41736095319156,8.387434880667513,7.548702105589472,9.964337041492719,13.935040518454553,12.153883715953658,16.834505016445103,16.419896729345798,18.124174885606834,13.129895157137932,9.785501668476211,7.382272025917926,5.318199986778669,5.976902485906483,9.497790185313976,12.979150127528944,17.418585476794156,17.44190623013132,14.5140697285604,17.521960410931857,17.294605163217618,14.192549650835467,14.845376585243224,14.234382876306093,14.697847087087679,16.711084951007017,19.616152994181537,23.531321242850332,26.634630607290713,26.6313829437975,24.672342129622418,21.597635915467578,20.24605608449174,19.876550729594925,16.977629732485422,14.103833372566891,17.85531165204163,13.998886599810934,18.414817003013646,17.158656252452175,14.263905205295893,15.916306313205117,17.786450226411826,14.882150338788701,11.622504739329308,11.564907426392098,10.442982113729158,14.810146147963865,16.922519125666323,19.314496684039263,21.536732680136055,21.80105835854103,26.33624849100214,24.12979423653354,24.42341723209463,21.003241992181113,18.425245586040145,21.075839535028678,22.6371405585634,19.86467601790642,23.24129349904819,23.258965096117674,26.865527246502758,24.547981895091215,25.416376314705268,24.786696111687224,22.180661006412556,20.93727895039028,18.66863510515553,19.009381810172016,19.39953605466207,15.167897988872188,17.21384970419246,16.254280832657628,15.641542409243566,20.16666019799581,20.196840726184263,16.331240199380638,17.950506274995846,22.01899076688152,19.946619757080647,17.068394791351817,21.693047922392783,24.977310308465828,21.512544062405638,22.899412627108127,26.585123501271717,25.667149347557437,24.225094037740615,27.560285992636807,25.23847007413996,30.12387995097074,27.130270977392044,26.137692861153734,29.891314459698354,32.330522557373584,36.95272066802314,36.78816785108083,36.18617241169746,33.6382050351606,34.754312651348826,31.168614065736218,33.77602673423698,33.65739855743895,27.491014310993908,28.30357316353345,31.060889595477395,27.865564949595782,24.597366045147442,26.29207060671269,27.342858170197786,23.893378674534627,20.381147871632308,19.76827203752516,20.93720062437598,24.750138177931106,25.92762517599314,27.616323296199337,31.635607269721106,28.072341320508006,24.558618099453938,28.405219292876385,29.918840758112328,25.068883717262825,25.375444042019783,29.394822456810576,28.655804172183316,26.026523666191586,30.411177013592102,32.30745896656702,29.537966860136873,30.128625837683717,33.34549431729091,31.00853506795468,31.93224507206582,29.134666798648816,31.784623801612522,32.27131148593444,26.587174412931862,27.439468532690945,29.877352692746296,27.78917674186493,23.87445691454694,29.027407666381972,29.481121862779943,24.18857225987315,23.784500732706935,28.877455391002975,28.55199247827477,24.853429624908173,21.78994902035482,25.78941197160507,24.052331285144202,26.36344494160869,22.122871767399662,20.618609285707738,19.275321566101695,19.005064726250843,16.83953709735808,17.692027736286526,14.846132830633799,16.22503248669746,11.847400236136023,12.341505514346176,8.914231789028165,14.870978382011439,16.695315188875202,20.46070129238162,20.15440382858316,16.1438967345833,20.327352875713782,22.03929661903817,17.05530228328426,18.59593282266565,22.88099149505789,24.11742725581337,23.84881800628425,25.375223609373638,26.189913890970416],[18.692622330479207,15.611973599376839,11.970117593175651,8.373472460597224,7.802589067513054,11.062959311165947,11.137646324737828,15.596281138368825,16.30935238740698,16.32953716426723,19.993125138822776,22.5646192067894,20.243164653107875,19.446779789733768,24.437985005898458,24.848886016341602,22.155510794752256,26.329285889252333,27.7082258087054,29.47777952392495,32.476033789649506,35.210672302095226,36.170498653699454,34.741962909840616,31.85262982902487,28.490772365371413,26.136433255934794,23.035710168874417,24.981734706186597,25.301187864908492,30.155348040762743,29.07901191778771,33.30919433393817,36.391354676484866,33.24779521244538,30.908052661052174,29.42918957581288,28.671899804258587,27.255338523282987,31.99933641633,28.94011013526043,31.329360550608673,35.360816873283525,34.60975650277223,36.25600306605127,35.49713454069807,39.735519063755646,38.55069294205774,34.60572773057347,39.11546950865434,41.05636879326098,41.292088007547505,42.3744695890439,37.52096249866659,41.71772598574458,44.51068739437935,40.92144504225736,40.37192471636831,45.20440102012313,45.05134489508486,41.45583838264776,43.45334209669572,41.831062992854356,43.419267642694734,40.59656751704765,37.088039607532544,35.202485786862134,32.70525135856866,30.718662490290598,29.488200920513528,28.952120507454087,32.05149344817808,33.40285733551526,35.705161945726374,34.8923939137985,41.08257567086477,38.644448476536695,41.70490919771763,39.78320183556333,40.03254080224551,37.62584891680709,36.00534963863936,34.43585294483557,33.40198667921823,30.17715089128712,30.210854018374825,32.59754447138692,34.17366906508769,34.431267469117564,38.42639593963361,36.6565259963331,40.27847835506419,37.369986096584775,35.58246225103607,30.96076325721574,32.41134048031649,28.237605633134,29.80327755446192,27.2636325302615,29.247643325543127,29.028325316457924,27.55878427519083,28.03612818614196,25.57086053918046,27.131863673967118,22.39611272744027,24.636831789014284,22.724940224502703,19.084170124225068,19.992756354822166,15.813319017163662,15.274410968484478,13.476824807481092,12.607478515315073,15.066033439120243,14.170782759117321,18.305306202673552,18.157411877323696,23.864271238103523,22.975444419296686,20.552580413885956,17.918398720666513,14.227038583405427,11.75949192653176,9.956220799982413,8.835179436794828,9.987939384719233,11.616775018360332,14.245760475765122,18.923529647455066,16.928538660520395,21.582217474741267,21.87473356674898,23.60435361144384,18.940535721900247,15.649697339430706,12.864665626727598,11.3187788864455,10.696739656791026,14.447867720882682,16.758620818572975,21.619700269654412,21.529096248077227,18.94300267429539,22.343155420990453,21.657099431763136,18.42062752344739,18.573133647033448,17.9767738947987,16.986064188053827,18.8531749557696,20.509963320741125,24.76588797254383,26.644222465337556,27.161179032936882,26.177021088167315,23.472369638566388,22.81775811160306,22.991084629759424,20.936385064288846,19.109570784520226,22.658668489227935,19.330920720769456,23.91683711729263,23.045426113620568,19.912497819580306,21.855585618146954,23.316789762973354,20.25315765410615,17.133690385854905,17.481701851637837,16.456036853587282,20.785338018327206,22.635383990261534,24.645717650901002,26.462696055615037,26.1627255678655,31.009490733797055,29.364327186872092,29.745706282495334,26.79321944854944,23.808511729403047,26.87344776876323,28.589662827510622,25.906397279257412,29.259853252733226,29.047183212848083,32.78770198950365,30.25802524315933,31.372710162362843,30.697464518394295,28.201338283154314,26.79932283349058,24.38530750760189,24.425304510012218,24.22836385957515,19.69361198745438,21.264233818077575,19.199063546801302,18.716883104247525,22.421450799819798,22.297193779460468,18.188709607726135,18.88298185074184,22.85829346601714,20.21654486396718,16.11603847577789,21.050795902094556,24.613251066089795,19.958081433822727,20.86231970880608,24.778508108363635,23.646568939309496,21.20514535212867,24.6633704752195,22.467200827962582,27.909881069805916,24.983476802722084,24.75873069367276,28.679269185731744,31.814130584188003,36.13377110210941,36.67174993965232,36.712895612569376,34.72637049296584,36.46133856092398,33.35036635498522,36.29717715036496,35.539283284339604,29.344447930769576,30.977084633623626,33.63835798775266,29.84969393063925,27.10747949883827,29.529195844470735,29.712158929290208,25.761929209982103,23.64236099959335,22.105881411866314,24.517250357633195,28.07762347021779,28.527299100270785,30.741685827930787,34.228066793347125,31.084399786796027,27.428211896186923,30.324554096354476,31.861972214309237,26.931490195053634,26.477258761819385,30.1258300829372,29.076454771645356,25.950317447199346,30.38937826328639,31.975734750151002,28.550802851842803,29.069098881782327,32.58082889789149,30.41678588985081,32.10735152645235,29.98424696532468,32.83184077204222,32.39027655509175,26.59390933184346,28.43751093309533,30.282346384360633,27.611394176692425,24.459610857828395,29.907611762062036,29.37175833235335,23.8615040471625,24.63279207321694,29.46919109294687,28.178452780049557,24.22400214682145,20.358113546914733,24.172961186472843,21.47707266044674,23.76534564141294,18.940755898590975,18.27677225421815,16.266638999275138,15.118264436646367,13.827392037171364,15.254658400176229,13.499014500521918,15.968677846109573,12.171321414845647,14.64623590944905,11.423502205654257,15.088701023751774,18.059533865047893,21.393800895706597,21.238047521059283,16.411363397454895,19.575656132864594,21.2561431225919,16.21449123394308,16.283043430225643,20.76872795172715,21.992709398530923,21.669473357754974,23.65177194146387,24.875722243325974],[23.799463248537002,20.970627569168553,17.36755525480011,13.46136633416261,11.819397233759839,13.055200716746654,10.764652679718361,14.529503614106996,14.100631817666061,12.174687529807198,15.609924229554112,18.813509038795786,15.375693480532338,13.99792700173021,18.8789881561457,19.345558368226452,16.048577641544256,19.906877602078414,20.955513966328954,23.030122291023684,25.890901954014932,28.892894848286993,29.720623361071198,28.444631361556198,25.650766336095582,22.00863599806661,19.904769066883304,16.69271426547156,18.875768785108907,19.81355315358863,24.25526116780777,24.01293914177071,28.254805423234277,30.871343815100914,27.790904078393023,25.051278241257926,24.266015239308594,23.002004222465914,21.820829404375402,27.16518207608325,23.664915240282163,25.383497309446025,29.63649230561884,29.262255110523157,30.94790955047479,30.69947150645562,34.88218866959648,33.450931316281256,29.988434027040128,34.9143265531586,36.5406742535947,37.1076414996142,37.80588382067831,32.90113353908855,36.89948831760611,39.43992360718828,35.578538483168494,34.86562077041708,39.674866287468745,39.44248176672348,35.48789230077376,37.25469396051491,35.60376044307117,36.9174379872785,34.21869718049517,30.790723837115962,28.52962075198612,26.134323021503484,23.93716436692861,22.923602811761363,22.275026771269,25.460920259517593,26.823315176457992,28.949320417511338,28.390910559815396,34.615055605796066,32.31078725354083,35.606782203686436,33.86262973112569,34.2621577973207,32.35167672259067,31.047188934232874,30.112636734476602,29.42285235986995,25.895569757918768,25.420958060170936,27.11089318163653,28.99323774164625,28.508240444957156,32.69533370573638,30.59206498845604,34.101312012777896,31.374519292869614,29.96746779054253,25.443919064058026,27.05530101034589,23.026721655213503,25.047773598986637,23.124438924815227,26.21106070329467,25.11536612704653,24.935008764414846,24.4761297877416,23.358841448972186,25.17942551964676,21.283617301905043,24.653188175955982,23.275183528689478,20.447651536229397,20.356737192782127,16.581962175318857,14.01247700959212,11.429085030831843,8.912009110631729,9.567529953297887,7.8299976096233355,11.738651007455152,11.556193401188956,17.074698708578378,16.2332444769168,13.75378865215931,11.360508761455145,7.4186659661405026,5.336616367624858,5.60217883780122,5.88476569921802,10.521576893983159,11.521496722988568,14.968928568987577,18.65954090589813,18.326346874951362,22.866168599123966,22.261835433117742,23.103539335453426,18.415998238572005,14.34451936627641,13.732834886782761,9.681179645764667,7.071348564805833,9.824149080671175,11.676280163515443,16.331974325695885,15.526161063372898,13.203184405551275,16.8204397107403,16.026157852610407,12.906113138330314,13.736681657235776,14.42051070424323,13.935537736495435,17.342604688639,18.836351311197795,23.62228062001612,25.822177054235045,25.147471391167535,23.78035385300134,20.35399331643339,20.418293732536462,19.25988100019397,18.40471923560848,15.806606562639912,18.053606844301864,14.803074422761135,19.48407915983606,19.50780385721346,16.81290782369852,19.92458606431368,21.818399463403757,19.846123938604002,15.912058670350204,16.39520237020159,13.981747964570426,17.94509501480113,19.537983956966794,21.060020762800036,23.223789944821554,22.072310832850548,27.372793462596434,25.552491779267847,26.665120938839433,23.792595859364617,21.775984123116388,25.28857112256648,27.065154721876546,23.920857372565557,26.094421152031803,24.932581750299917,29.06864982001292,26.524936229105055,28.466283304522793,28.534566707888356,26.135513730488398,25.843725772278745,24.14668624082715,24.987593723167926,25.85533972167447,21.816968989661646,23.8763482357748,22.860028958222983,21.702602637492863,26.218058149494876,25.540778900128668,21.537441379398103,23.533614177076235,27.2981882090368,24.38030626688961,21.47503953114713,26.41578478646773,29.20437244600585,24.832253294506536,26.401148197026668,30.110900140032676,28.35929827796374,26.53726680335055,30.418109083037987,28.554859295895792,33.788637521674545,31.470996317332922,30.82353981443102,34.562663735728904,37.62624339276501,42.02407785445955,42.357954422612984,41.84191824799346,39.5653572458561,40.82821272626736,37.18733175959387,40.12404668123965,40.03096488761525,33.7648267308117,34.728453491811855,37.71844148864527,34.45536039920736,31.2327761465516,33.0365053811024,34.089785277844534,30.52538803116525,27.194238009909103,26.33990332368514,27.321468826248935,31.103214156726267,31.860174019564734,33.28814400612663,36.97112929761275,33.09324914081766,29.78275229939191,33.52329804677235,34.43319363426157,29.359434996643664,29.93565155426254,33.42407115742622,32.12009945071451,29.68384101499784,34.452537797252106,35.75598495935946,32.39211680598706,33.66439617107219,37.232027242410595,35.32907251416588,36.71093135561759,34.194724306218134,37.284763524725086,37.44755435402221,31.65660452954363,33.15633228773936,35.5867787348995,33.20607927165539,29.738080395434494,35.18112606451349,35.272579792427415,29.83836244035662,30.038907727715756,35.09428879068545,34.31196480590055,30.448510316488356,26.840494580716747,30.741944431827847,28.2529005813646,30.524706308474023,25.693186685318732,24.66336113007803,22.289481342745212,21.72055847649278,20.510432419905626,21.982019496676468,19.869785088733476,21.753158792041496,17.14323505653142,18.387258445657302,14.244842439679582,18.764575886590332,20.48740906329364,24.10423193645624,22.69980854635581,18.713448692606427,22.845586040385978,23.46577883382573,17.79122593916222,19.929317216820177,24.108606330316107,24.2552279445864,23.30626301325238,24.790086992550748,25.49416813161028],[21.63211150444497,19.170284384748527,16.328411541545723,11.922632480197942,11.616513382293581,10.753287419404957,8.579611117603811,12.361749176950592,10.905052307723626,9.545823202673962,12.839313559603577,16.188826882596558,13.884545499479193,11.947765596930163,17.139382945902998,18.167669472970484,15.715840312974688,19.90001363162067,21.691794032220084,24.086834809578452,27.17495906986466,30.567420378925068,31.491697021745736,30.60479102056462,27.823161634265222,23.844041791280592,21.759196374735787,18.055963642090404,19.417838833134187,19.72687367516839,23.43259556123867,23.183702443960623,27.105505946443177,30.15292843695034,27.532094717608565,25.225890744107403,24.513813602025483,24.204855278336822,23.63265857733628,29.353761239571533,26.234786747384256,27.332580622810625,31.65220535949285,31.69676250240541,33.674791307251056,33.78091670671607,37.867047260978254,36.08127475552134,32.86918688105233,37.95218963136496,39.187814071195504,39.659962112133265,40.06278993103463,35.02833363150755,38.63558769032778,41.402883134482636,37.63115867505465,36.42279432407681,41.202060546666885,41.38614966577095,37.17659218832063,38.40022223218867,36.33388690359671,37.864333578529845,35.546353597173926,31.900878183277648,29.271323242702515,26.39089773516812,24.032179430480728,22.24573985005781,21.688370573357624,24.61152341460671,26.001725485585926,28.77569805343806,28.031871429455144,34.37147607651262,32.59950466105217,35.6008042854281,34.27106722662284,35.1949311514909,33.22132362697637,32.509815216928736,31.244382925312788,31.126911253304964,27.901701189073407,26.774299389870183,28.362599393104663,29.585310252761275,29.057585003693273,32.57090703913076,30.250151697090754,33.43362361962317,30.344450744370107,28.630026325131205,23.93495335461625,25.031910923400716,20.7888609314494,23.206921380854972,21.1146640523577,24.022649839337227,23.884719887177216,23.900920938902388,24.23799971409885,23.302854681501344,26.09290627272193,22.079945583293537,25.5469348165036,24.734349378944177,21.554941517352265,20.825221875589115,16.71603888966614,14.686341280810353,10.962273059574503,9.858634260055341,9.518702811112389,9.221794792776711,12.884270723980418,13.68460102448744,18.378483765562862,16.610490967133405,13.884593992971071,10.840668226974724,8.109825760353889,5.51465400823254,4.211184014442576,7.7384711091813365,10.428673641473704,12.869532929237591,16.504483005899505,20.458048112120327,20.662963440444518,25.0987582374494,25.08518514714619,25.41394074473899,21.328863191824322,17.10282532452198,16.898503053084056,13.280591169340436,11.100895434397462,13.33257759857676,15.366311102896933,19.731653624644807,18.25213248790829,15.956145562081032,19.280837456074053,17.60871141605735,14.5559021253195,14.334008845129798,14.790468402561178,13.01864688299247,16.325218582758584,16.716397064134206,21.73401238258977,23.098881848379378,22.537244055094614,21.84868917030147,18.732710449514318,19.452720408189972,18.72915116763323,18.756799544894644,17.38651910072592,19.50188434950977,17.415715242304444,21.954942058311538,22.82504816636727,20.68174550530875,23.679921460809283,25.878693577658286,23.839607281696985,19.96615243878628,20.107977497604697,17.494635082757114,20.89342621949837,21.87965379401497,22.818022492078704,24.364144467945074,22.676209670113177,28.124767588370123,27.05761505160909,28.21208829291318,26.129001553307674,23.579563806255962,27.7522688728071,29.91470701649405,26.920049127590485,29.075043433336422,27.729428766393735,32.22655881969703,30.082331929178427,32.032268586996224,32.2561123560636,29.654331620329696,29.447452648217446,27.610803250411852,28.24870073173909,28.972271239463876,24.792608302606244,26.34002416917541,24.8380904259856,23.15440044469585,27.39472441797335,26.138328548726285,22.09933395694742,24.24180691402852,27.624912441101472,24.11472932723437,21.367586552203623,26.346693817541517,28.62356019511904,23.77016740309697,25.500937873903286,29.074429311949537,26.77908541595435,24.91150180295557,29.09010049377974,27.662795486561635,32.89515112031787,31.415149689791626,30.795738315543378,34.369681003190166,37.91381339518511,42.08390290647264,42.82669480312066,42.30347911540029,40.336009047093484,41.78157181110233,38.1885214851798,41.531485527289504,41.38547021068588,35.03402988024245,36.295005394334716,39.62303327985811,36.25057935275172,33.12690631530434,35.313518852209036,36.42128525595249,32.664526080334234,29.7610751674417,28.168694773811552,29.1851445909525,32.81349096556042,32.934161500394445,34.327914417805076,37.55029883943027,33.67591110550422,30.467790272385255,33.788695554749616,34.322681595644724,29.177689081698357,29.71359155623672,32.74146796145472,31.07813046948401,28.726901705950535,33.65032620750039,34.5261355957726,30.809232359635644,32.49095666250148,36.24253639345848,34.69540843239582,36.41894199621927,34.210404885212746,37.64316674653062,37.4902160307036,31.704574337536133,33.77676418691086,36.20513830937764,33.624053921315365,30.634254908428858,36.355491062708964,36.23152914790533,30.787083874909147,31.576477221580287,36.65669108772973,35.61047503868293,31.707094707533383,27.72176191759264,31.850281822597427,28.961635239126405,30.739146989562077,25.600148883532153,24.526495984844924,21.437424835065336,21.182046258367727,20.619111925750644,22.74112866136281,21.04084992303235,22.744444717287212,17.946665186719557,19.76702679544531,15.365586175537615,18.397930986019425,20.164676599595808,23.46675789365309,21.63044084471125,17.617289835883057,21.36570630649891,21.393300958170343,15.63746407357953,17.84339617676098,21.783157132305654,21.3800266468409,20.149576192404478,21.664006356649946,22.432757576952117],[24.38377817185865,22.28872434851691,20.15509142898589,15.358892941112595,16.03986280438569,14.424296429655472,12.290803375378406,15.467857897752381,12.68450886961617,10.52091515173891,12.815869445536949,16.847273001425634,14.74760892601699,11.353011615234045,16.466916124782195,18.20599129801637,15.701439410043323,19.32132943795964,20.604519915279134,23.767347414924874,26.42822459362524,30.24431393537191,30.735876758482437,29.860983308120378,27.564255538524453,23.29760161018391,21.929863803397858,18.294125655977986,19.726246434385505,20.516776976745692,22.999238358552997,23.83488073536627,27.403788192123407,30.165867908704104,27.980676029929676,25.48188951526664,25.612330758588268,25.056766202191888,24.811421938538267,30.889190281257406,27.325095645765764,27.699915858539864,32.17592332112447,32.5609334216875,34.33693294766334,34.7681632984938,38.76480178569118,37.01778375847255,34.25804571651875,39.510703201187745,40.65314033347839,41.434259930474454,41.5841020575756,36.614895787042556,40.01927084347148,42.4861251299884,38.477695273089154,37.15993769847869,41.831602520270536,41.86923435017096,37.29638821233534,38.17294612787567,36.02725757230794,37.07085984410917,35.04826859767665,31.63256982009534,28.20072048273101,25.451815328126937,22.34921153124595,20.47743224441593,19.3867430145953,21.811851750239814,23.83766757026537,26.850414689145403,26.761789703208287,33.182756784410564,32.02264890449804,35.200976221998474,34.33276422234556,35.58421555059485,34.181870819091934,33.87887637059337,33.12407961513746,33.31664273698954,29.951864255238675,28.430237365207756,29.29065557877459,30.642004747263584,29.277946723048633,32.654872387062646,29.783055409931794,32.467803429902354,29.39071712086829,27.996145466724442,23.37458830806194,24.010957082606424,19.801131752015454,23.318093853592295,21.793012702546363,25.334325092706116,25.296495326432655,26.301727645340268,26.43594740801082,26.36218796924047,29.437757034494812,25.831445792777597,29.593068415045185,28.96366763966299,25.96189639274342,24.98027778593781,20.99005152381908,18.622200982855542,14.628051111756385,13.232544887859799,11.230559221075904,10.522537295786275,13.089791744296598,13.472705894516679,17.141247322630544,15.598000744275863,12.31972949568554,9.716054295147945,7.366495523181042,6.760609672197202,7.564089516080948,11.700910974377905,14.84636521915491,17.19168812843688,20.87374928128474,24.550106377512023,24.980752786356838,29.400706166787263,29.09032985704708,29.31547455126559,25.149523709705267,20.858914577483727,20.885178182370105,16.753829301692377,13.809722839331824,15.54201032202896,16.212444077843607,20.252958845109017,18.621692657033694,17.072307516782782,20.501544981146942,18.896361329701126,16.222547475587554,16.410510429655222,17.66276837847667,15.839297611642456,19.608882820555344,19.260680486950072,24.43087103884705,25.20038828659664,24.175296751820476,23.87983450334154,20.68600769016136,22.189516764363496,20.90842040129378,21.9478102799307,20.448240858291477,21.60745447965303,19.66523047041436,24.05088897541888,25.21283720172681,23.001110582489062,26.577339991373695,28.546671585713643,26.935414067099124,22.88443501184043,23.409806513202916,20.565222991224264,23.895668129451956,24.84049771054984,25.497961007025424,27.1437086862107,24.85913800527768,30.483033870482913,29.4503609173,31.02273309861125,29.013998139239938,27.019267773496644,31.2339154791011,33.30161418482929,30.125150824253613,31.64549049040699,29.764422995127802,34.2744373213093,31.866781699758846,34.366539890782654,34.86757867711151,32.51767908858562,32.69624895250293,31.171661832832626,32.08048294205292,33.01126088752148,28.931277972922242,30.705047920780938,29.32034224695509,27.708057990091575,31.96534446071872,30.665368253423047,26.639808438899337,28.744838277749743,32.0968410537148,28.471324606482934,25.618715182722507,30.602846802169587,32.81919843174447,27.716735682039232,29.355312255705112,32.90318387377204,30.40013463407629,28.284225026340753,32.5168815267465,31.244572049913614,36.592314649323185,35.1740509365223,34.83129632468247,38.420911676883875,42.121039060033326,46.188562842146254,47.1035295334716,46.709516429940024,44.82408707993871,46.32519064565977,42.74922217492787,46.09792709659033,45.92158769144591,39.57729595308132,40.85293230331393,44.12253737641539,40.707775618116315,37.6155687453416,39.74314844512006,40.73512521820008,36.966669887738895,34.06957918533347,32.649721397769476,33.68959672972962,37.345102565753386,37.49248666739536,38.81911808626943,41.99487027960398,38.0376982352212,34.91114600674601,38.227647611484386,38.60030992537481,33.45276610682877,34.05823977864901,36.89656648086232,35.06839903196958,32.799880827557,37.76196799511638,38.41971971655014,34.50980863770881,36.37560680996567,40.20877228381666,38.808471688243905,40.69781681036581,38.610813044359816,42.10680788162407,41.81960047347867,36.04191145729582,38.26431732032823,40.602998672296195,37.926144462907274,35.053594377181994,40.773952626826365,40.45761680987461,34.9807850735728,35.89560882658507,40.88828835852436,39.636551933554735,35.68241461538567,31.586305866526935,35.45397091405747,32.30842587749107,34.23940512022937,29.011324398984623,28.346044094069732,25.08755757242096,24.453921476423105,24.252326857061096,26.341789892825606,24.95507874121278,27.007581930471737,22.395315792314964,24.319120554740884,19.932260546133637,22.7773293887662,24.49437440264138,27.67594518905752,25.539986402342233,21.715373263265967,25.24261084836414,24.842899427861532,19.152185779073246,21.33364745059327,25.022488297878397,24.095492317018202,22.542862477415923,23.95845804013965,24.63710738680042],[25.602252569489035,23.58133543232778,21.176297068319087,16.981480221002673,16.5352102604239,13.95935844403866,10.76373627298383,12.650697549384715,9.367013817929744,6.047733726902729,8.046963075481914,12.178443001362444,9.954100683751227,6.4550298962155335,11.650539407553664,13.38226412940158,11.431538776153769,15.36054577578622,17.64437079830643,20.49473886394742,23.598323069484685,27.46770020953483,28.396977351026287,28.093341306439918,25.462150903685014,21.130834910415633,19.36678143482054,15.347138582124186,15.865967491455814,16.10249562420034,18.37650604214187,19.023571220407778,22.499234625809365,25.413858633757055,23.36590463131614,21.188373333682826,21.26410989218454,21.443486030996585,21.724557630012654,27.973064315390197,25.03826102877195,24.926272025619568,29.300673163569886,30.04961119993388,32.27759188529543,33.108669786986404,36.92723352006406,34.660906942478846,32.16482144800153,37.53172877510402,38.13506826086397,38.75937001060855,38.5883447564563,33.55160111166951,36.54004389421346,39.23604399899372,35.42598810789293,33.654617823713274,38.27751737417603,38.78505529636636,34.152897628173235,34.649418331145576,32.20444064976911,33.711484432468,31.90350565196254,28.189805285256405,24.98321422029334,21.750037613249315,19.163728200752516,16.75761241126636,16.29456098500894,19.043564457135684,20.32014041483006,23.54542554259138,22.783576483646268,29.167523940698405,28.033431542364198,30.899269933016207,30.134208822818024,31.656485298893628,30.104711350105507,30.2313892703307,29.261862938963873,29.936327079885245,26.88268505693422,24.7969504965101,25.59853926596458,26.41928149454125,25.19354441187842,28.13858301037792,25.35540480200484,28.085219616400956,24.859666971917132,23.24280354999731,18.56355624753399,19.315700723562777,15.082112239882564,18.368566145782133,16.90744945941427,20.72058281514392,20.525838780042744,22.014425475124085,22.113285499148134,22.63833450944114,26.204774475674345,23.06938235925265,27.20218499082032,27.18437266487245,24.548903187619274,22.811753837817527,19.22526239351598,16.39305513652478,12.06903937386664,11.054737092502661,7.784527498347788,8.494591351876794,10.47593634517057,12.3924007342579,15.29631344623618,12.497088634519532,9.764877265299308,6.430627575451273,6.5882714030442715,5.404128261236002,6.085607689418237,11.07477624442765,13.845760153108381,16.118791488303213,19.803194320857127,22.880879045029673,24.438437412676585,28.491785040290665,28.27731524328125,27.65556732200619,24.233185670273922,19.81375187627071,21.132340551163836,16.883964473295592,14.34272752218845,14.99827524603316,16.62754245944842,19.970805553447047,17.368661646062773,15.583872546412294,18.33626609525953,15.856033416173874,13.454360748323548,12.843322896660002,14.281726471724525,12.185194951889514,16.304068402051723,15.585315008031309,20.753191747113732,21.703602719925176,20.05412190416153,19.58118820961133,16.249950621611976,18.223653164147123,16.628162554776406,18.57990674735,17.73660079430412,18.340059420874237,17.652377061164064,21.641309376163683,23.863230458986017,22.68627333355577,26.119273853444426,28.730960759414856,27.426621445248102,23.36213706566044,23.309396714386622,19.938284826096194,22.292685618192028,22.51440411817394,22.49986648249208,23.701107090953624,20.914903609295337,26.55830067849787,26.040898175257293,27.774095254048277,26.51618531200738,24.473707691818433,29.20343246465743,31.590588348968005,28.530929489166763,29.699340640770284,27.55301605087632,32.4556935527331,30.766449631409255,33.21531716425166,34.08612926729167,31.48298757236772,32.108742671251875,30.7178758698832,31.702662031963648,32.9827630393412,29.15824503455919,30.640208662132295,29.540694599587138,27.250643108181574,31.681382805383514,29.814668005195713,26.018741912695678,28.920007835715094,31.88104578149421,28.043733825079794,26.222181824805116,31.050074799452958,32.50765886119269,27.827065517717173,29.99848922277553,33.254176259026906,30.367813639590096,29.018851615133205,33.464370910373326,32.48419965637271,37.43854242351537,36.7892974769915,35.88608349862129,39.199866710109546,42.87967967338112,46.9524856684202,47.74850344500234,46.82059358295312,44.84071663911667,46.03782236837006,42.153820619280445,45.67683840937713,45.967806941473675,39.60277693100364,40.56309205494378,44.26867195261227,41.22566634785471,37.88540505592019,39.86062351834629,41.56328687334806,37.98270694998686,34.6085719477436,33.04929928106305,33.16806732144239,36.752856227734,36.7075072409817,37.50579771841266,40.51008801909616,36.21620581568989,33.423470205150466,36.98744605081568,36.83611369790246,31.73533814784787,32.95709988343613,35.51491876670633,33.52645748580191,31.819446024143318,36.89209136170337,37.308928688915344,33.58472676452575,35.97094936084546,39.75435421597895,38.611013045870635,40.24820797470532,37.972442726823864,41.6885890558757,41.79763313991241,36.128081694532135,38.21699285714471,41.005205667434325,38.557215786232106,35.64041334832997,41.430134092588055,41.625325314348224,36.27480886739624,36.98475098542215,42.186950509627586,41.362385511736214,37.5197426724446,33.547764950479014,37.85405550554673,34.95770312729468,36.45885194930076,31.251304285778595,29.906685845318748,26.433941664511213,26.689795813491543,26.363153274031976,28.724860787906096,26.9674965012475,28.241474441363884,23.08761308987284,24.42281934739463,19.745835597486156,22.331202413785203,23.18135723385309,26.268063161550025,23.427079460723764,20.398527082307012,24.28048796934122,23.21450355109993,17.591745783848452,21.078789095554846,24.32142827721673,22.833170707843664,21.05625728719179,21.996609773833896,22.294863120586815],[23.234053394711548,21.67186939805428,19.98958335226815,16.113557459279633,16.39018522050458,12.13029365907281,9.504171041683955,10.488032218663704,6.039444745407806,4.894036790468471,6.0893750077117685,9.626368976820078,9.922033728816372,7.162244507849327,11.74532032143299,13.768551527655545,13.497136453096568,17.633015076040884,20.886643193053892,23.434876628377335,26.846289054310333,30.71811505289162,31.952604051878268,32.029346222416464,29.24017452003499,24.948979500538247,22.910445295449353,18.708904182098856,18.236604567604658,17.343482053066886,19.097642726496822,19.01021511295365,22.00072237030478,25.586597951101115,24.016837055074937,22.669931689074144,22.32291123726104,23.78885166179254,24.500310867733887,30.648697929369423,28.433770753826092,28.161673591242884,32.35492711179686,33.29921206603705,35.861830494205165,36.80951731963819,40.52972288621048,37.94971556947856,35.47821506192245,40.798917643901746,41.07330506107137,41.4102012391135,41.08717632705725,35.979196271168504,38.60265097974893,41.66514022033399,38.1682809966671,35.96700666214599,40.5093077032611,41.5504365656718,36.958859884972085,37.033004145544844,34.21523296322618,36.218386693186446,34.72905608809141,30.766074450564147,27.737683644881475,24.023859123590274,21.855725459140388,18.67632714696172,18.70606901441818,21.127841843798063,21.976903384037346,25.742893573559023,24.385661641129122,30.579968549658552,29.8102477308065,32.084255346384396,31.59873116243353,33.514887932321756,31.59724720880325,32.163731774821755,30.544881009967998,31.65493150011044,29.104641095719057,26.645860230494254,27.733848828090597,27.659364354118786,26.94356378763771,28.97339114652628,26.353035051006785,28.82233335266837,25.20392741370822,22.99812201674176,18.266504870917405,18.40668518911368,14.043988025105639,17.108153586053735,15.117711424189748,18.106047737195397,19.365507403073103,20.556895032768974,21.84353200595081,22.134347714231023,26.52764034284567,23.217857098503625,27.11904123354389,27.614347887840445,24.67627234193692,22.460132843612016,18.782138542652017,16.889263327236545,12.153450940752595,12.885322402014323,10.251558082193162,12.297513194457203,14.29921623792116,16.875277009411054,19.39588989863769,15.884866629925838,13.655469917310533,10.258068656241548,11.307178689218558,9.430926844291351,8.102390500231666,13.28873797219615,13.962280561973632,17.137617647963797,20.638131823690106,23.895637139989553,25.750505645957823,29.59064563634761,30.06570559178612,29.065667756343153,26.304655041143757,21.961708308055027,23.347041838757317,19.78934407930338,17.925023206120123,18.73773874593981,21.09144567543759,24.42014803075088,21.605074841388408,19.536478954131493,21.860142939257287,18.761567509134533,16.448737952919224,14.630337047535196,15.173431161476945,11.82389188737055,15.033662544925392,13.004741826828111,18.064279428338693,17.979981132600702,16.671051718952874,17.1102137236704,14.53651586123533,16.98772556283367,16.406488999128705,18.809530997302176,19.425395194986244,20.40818896311923,20.722207701788605,24.487188490753073,27.13341918294616,26.36675029249953,29.333639979886925,32.242714887740874,30.625414836704778,26.736424918319592,26.27120771897918,23.005049225469342,24.953821090968695,24.68480206088757,24.28100750980703,24.70651856694692,21.803112168546722,27.220187670027123,27.563171933739973,29.031923850887825,28.57783662505056,25.770136640228685,30.95600787208932,33.70336993222481,30.94541663951124,32.4560795722888,30.51807879830341,35.62695076344763,34.44857395594417,36.55001889670533,37.3704523994203,34.482294287510356,34.92887500686217,33.25028314751395,33.892823877885135,34.90767923355466,30.964620904220755,31.862999390862758,30.30858678438514,27.561345707522225,31.577464717478186,29.183428695051347,25.53512472952887,28.529101875869017,30.976773898570457,26.71853485179504,25.332131156561317,29.938242501728027,30.735384168947768,25.90748616375815,28.261671203221717,31.198483953915485,27.845490054074652,26.741998679503947,31.332208320108705,30.84012904865619,35.51747888776894,35.82514344623575,34.80198385044091,37.81531149103829,41.83835243838327,45.63932560497603,46.76598795448688,45.747901496834835,44.08054545773993,45.40427093317225,41.61054527179793,45.50219799025266,45.76974406239345,39.422357648432985,40.64040587039275,44.66763072588585,41.59551586433884,38.38390933927966,40.71701098453229,42.51887445110334,38.82058958781208,35.87911217785515,33.59599339107266,33.70480078303674,37.04706503112028,36.34343652925256,37.094158222987865,39.55623065514645,35.383105100941016,32.7562766725935,35.792239182171016,35.262870446907215,30.24032901861236,31.404584236227258,33.42046200377455,31.129927486921275,29.618720614009415,34.700375348951205,34.679533381981415,30.75834594822806,33.54092535460399,37.38789355493059,36.63691531884914,38.50847592473172,36.54978761688646,40.53590263475061,40.400795825538715,34.88597767107406,37.43205307388233,40.22918276304722,37.694845370839296,35.27442362820754,41.21273144309685,41.311192064541245,36.0947213787462,37.27594320183486,42.456587149986,41.51058625552442,37.73724748387844,33.575377744755926,38.123435807129844,35.05949533784415,35.942328314464945,30.65844053558955,29.087598457661453,25.13332709382848,25.9567630186189,26.096881836684858,28.96088771606803,27.47376675730627,28.33114898113166,23.158671713105612,24.82462971562609,20.197869586289418,21.250164494056616,21.97375801798407,24.56106391998696,21.40613951456178,18.6531577011671,21.93273471240818,20.22328452609404,14.987739929503029,18.56956667456913,21.22798291947455,19.140039532419497,17.12576340748542,17.962987018341437,18.296499313154555],[26.477971270252677,25.13601034149558,23.636731029383466,19.86867371967111,20.03730323818008,15.598416334542092,12.808821031655082,12.808983764992503,8.05862190468312,6.108669123817005,4.739890247409366,8.472855636329369,9.463724853582926,5.934797812060076,9.394510520831794,12.075373526846558,12.587194742985677,16.133021869434128,19.60720627369279,22.343849509967757,25.62419550650515,29.70027402707666,30.891067618095484,31.325388346148713,28.72594973833861,24.369605380761943,22.63820651619523,18.49629631344665,17.45549517219584,16.482801469691207,16.86560455162598,17.481498194007205,19.91194174107353,23.364813404734125,22.352198572076084,21.217262033042402,21.44882585754645,23.23667968812473,24.46219150254554,30.73348538251717,28.66154538855944,27.67392393863739,31.788303409213178,33.140624009865505,35.78244081637945,37.125492766711005,40.63742842681358,37.834107894835,35.825767628515514,41.22346348368191,41.1416870530759,41.57793042917797,40.9183405102032,35.89254211882652,38.0915053567753,41.058199688735805,37.58437383334541,35.06357083917482,39.42789083347946,40.65830440372987,35.86159541334251,35.435573899880396,32.390759822464965,34.34209509342888,33.24761206884567,29.329088966669612,25.962039357076808,22.09042499300694,19.84566310823228,16.21356279294812,16.36633514995764,18.424282988308224,19.135312666946962,23.237676073169226,21.881808635181528,27.955057863014215,27.73895348390951,29.834726724624872,29.806562331560976,32.13019649953871,30.54344863267201,31.66347266611467,30.274351166331332,31.850861478200457,29.45635584942701,26.489928043370643,27.032675319756702,26.664831339325605,25.48386434193735,26.979188664243875,24.052726399199937,26.061154618555154,22.344315193331095,20.198372436039755,15.589676950298683,15.222861682042566,10.914745834367562,14.833721565288652,13.472441280356508,17.041215046092937,18.36701694865723,20.613987622130175,21.72797294114171,22.962516743340082,27.653545923115637,24.942343071730388,29.0935520048237,29.95046039682418,27.354173596707252,24.750289468842347,21.463357087360095,19.22137034852619,14.597507801622362,15.166991056804127,11.57642798265927,13.761622935397305,14.696658076082489,17.568530151106163,18.884962870257954,14.975603943442955,13.064181388373205,10.14835203591886,12.557480841182327,11.533602962934,11.10526941776844,16.197502484195027,17.172352592598887,20.041354199388486,23.47888815147456,26.256654496725133,28.640730073719705,32.28557250257338,32.600905401059954,31.203702002471747,28.736964232441615,24.388396011663804,26.3337470301349,22.499075546035503,20.444047350338433,20.66658310548172,22.676384075319667,25.44461440624032,22.215788419322916,20.53151966499699,22.469245072358564,19.115681046840336,17.330309210816697,15.462534311695034,16.502812566469714,13.31612395636614,16.672617132728103,14.079673039478987,18.839794475337325,18.38029938260263,16.298108990874578,16.990508155268365,14.500076060613702,17.715489213571452,16.620253992096558,20.084174637048132,20.903182547524317,21.008974541670636,22.008505219893717,25.355461552326837,28.58201082805327,28.234405384775258,31.397479991449707,34.42123451099624,33.17050842014713,29.213381990999043,28.730340067150685,25.197182915996397,26.677980982573757,26.075711847368748,25.195356976786528,25.426338853263772,21.965264303781716,27.30422509449238,27.97331800559151,29.74870858142588,29.738890991687963,27.310950820473256,32.64293664245708,35.43672608815515,32.667267100106734,33.622848131179104,31.282659809789156,36.501048946112846,35.543172019822606,37.90063463892766,39.04132687579682,36.21210430495951,37.07031154124516,35.64152747976321,36.46933365381634,37.7512580743088,33.99864919267294,34.924792192509834,33.59577054985923,30.663874282993284,34.75379176320564,32.15105535202726,28.660429405541848,31.927772860422778,34.202001002295255,29.885749788032893,28.877005086644054,33.37957342185688,33.83546414504248,29.170359293564474,31.659936334675155,34.4264903308926,30.867108183492228,29.99888124073212,34.627583406490764,34.32288708610403,38.845696822220916,39.46910829833277,38.3527159978437,41.245778676623985,45.29313047129767,49.0366030508744,50.17467229424887,48.9793937620413,47.30325004983365,48.49464997298233,44.57981977513833,48.514665603787314,48.99131474001298,42.67052916975689,43.72458001559871,47.88599445133308,44.97776740998608,41.67380840051143,43.87173054102511,45.92467312778201,42.32015504869692,39.14810789385773,36.95867077140565,36.67325156849629,39.98626182675456,39.253882892613184,39.70644218568355,42.05555802136134,37.70909452245606,35.32482923995213,38.46804885631301,37.60330213873448,32.68495339397587,34.179421518787706,35.93970249035449,33.52331699940737,32.370260945456145,37.4417832025321,37.18826312346702,33.329972007393856,36.417653723924346,40.228759514417895,39.67954755885958,41.4857044434694,39.5053738103033,43.5804259617698,43.57977593242409,38.16120632943893,40.670875191168086,43.610880684723895,41.15439803057922,38.75320257052725,44.68041669837516,44.91887418793397,39.75200337550797,40.86306607764691,46.08168064350708,45.232158016118426,41.48294594980833,37.34606438337739,41.922995140999326,38.8577423407254,39.68375066703485,34.39883784479763,32.77449864365321,28.743002762480135,29.680352894988776,29.881777021550835,32.76849055457867,31.250971245407623,32.00627581394726,26.748444353120757,28.179669620938327,23.510635624645378,24.52122724182285,24.83065271847633,27.267940349420325,23.717331016769432,21.556486063820522,24.79962962442638,22.61442781131442,17.743691453447337,21.709384220518544,23.937952919183477,21.355234119702555,19.12478352374848,19.544092387427643,19.559255245730743],[28.922474973580865,27.60944579058969,26.297862082888894,22.012219470023542,22.707218508348262,18.74766332906717,16.1200433275612,16.818065220196537,12.162357307471959,9.659542254954872,8.492518753223486,12.40732063449888,12.507756293327182,7.902216327865807,11.013155783222649,14.115693017829896,13.856931584983016,16.593578861951894,19.063126888328437,22.54263481485596,25.233383892932245,29.597054020605714,30.257063959840636,30.504948437944424,28.424214404099878,23.917370127071447,22.919803096956187,19.05916469266747,18.58730781608577,18.524258078239217,18.043839777787223,19.915138344327303,22.142569837303824,24.983275500763302,24.189029080946973,22.57527303675669,23.62050098035824,24.587534623003712,25.764821006771044,32.19906023236187,29.483487161046423,28.14368610993053,32.40001099558398,33.85320468596013,36.132271260002625,37.57548751696465,41.06753137913933,38.5150693469296,36.77058950598602,42.23962728584065,42.31690606643112,43.08711097075325,42.376359158233036,37.46394198401614,39.71509082076802,42.279134612654246,38.51495043743792,36.16153725577064,40.44306273462211,41.29359332875572,36.2489668035411,35.73867488285615,32.82289922269525,34.1003787116567,33.14323513578227,29.591403931367992,25.467641644427143,21.994449230739672,18.857701118357017,15.450044051998358,14.778738664355378,16.219050432929787,17.886362022934605,22.074216834938877,21.688323088019487,27.825663135344286,28.08705122004822,30.55471500660585,30.82706277843759,33.215428333404745,32.24564761763463,33.4138777463258,32.659466285572165,34.15961875230972,31.44962922176929,28.520526150004,28.462895707236232,28.612572285826882,26.59157367493431,28.326368898853904,24.881389040431266,26.439632686319268,22.939351574521872,21.40220175095901,17.059952240375985,16.357559930589673,12.372461836395072,17.387088371415505,16.78731754572432,20.854547364252326,21.748079885686966,24.53499340203003,25.098268865175687,26.709426449850376,31.090755766329742,28.49480528171787,32.758275584915054,33.34334478917664,30.77587437005985,28.44965677937072,25.052375303801046,22.49829630946228,17.94718658275176,17.68254252347317,13.646414919926741,14.805550661664155,15.201349505979596,17.274307751502963,17.912543972563768,14.66489367293047,12.219470909649486,10.085848378500584,12.284133540269833,12.434868761003674,13.131451864632014,18.25107476504155,20.21648547352316,22.882597036688,26.477400436853074,29.325402965539677,31.37905498395131,35.24471450330716,35.17796387549678,34.09519027156545,31.133591241385087,26.722468540356424,28.373095875894627,24.102091811708885,21.430007828448833,21.678286577691804,22.600026152133264,25.249652722478764,22.221242849585565,21.15025102646706,23.38738144765224,20.529769594586718,18.90175893880075,17.91468492793534,19.58736471653768,16.939809788640265,20.680074279579028,18.382638347579014,23.163332537954663,22.624232540880158,20.45597804686668,21.135684454205855,18.472394141230126,21.692938824634563,20.059981184232576,23.540161483478677,23.575667218449414,23.216178629154705,23.61575921785416,27.033943269256778,30.007314143331975,29.242654531450732,32.88068645009284,35.53937353429221,34.5166238363161,30.407899231890976,30.377636533092904,26.828004854208068,28.682492110578487,28.42283432513502,27.715185248786224,28.392976843972885,24.80562505662307,30.258486168327646,30.51058119191385,32.56868362573851,32.12616878355326,30.261100352288796,35.32599212650538,37.87007598689518,34.867658158134965,35.45479109191477,32.803838640357895,37.84975002757796,36.41170229995373,39.210973652058236,40.43858722226199,37.90231708519278,38.90966576973152,37.687942502737855,38.741610453758696,40.117433850067094,36.33579854788351,37.64135319625867,36.398105246404064,33.81566605543986,38.03180174611428,35.72664751334752,32.07547989965098,35.07347967876693,37.639967883950895,33.417896746161325,31.866800404510556,36.54368673880524,37.416031544261514,32.48489351972832,34.720411423267336,37.6796685668807,34.24827293397626,32.91992937174017,37.49535581554579,37.04757912355786,41.85718166993751,42.02472915598601,41.248767601566605,44.33884998736126,48.40738096132357,52.18516567316405,53.371778017930104,52.43004158339199,50.732402694605994,52.01793919636438,48.159874879123045,51.96006036703146,52.2887695820624,45.93128167602224,47.02311609052903,50.95638723334807,47.90336929410369,44.62766729351606,46.75550572535594,48.5255104853039,44.86389510864933,41.6834136994389,39.809290320541955,39.8227072819076,43.27277501664739,42.80526513965443,43.40795235346793,45.959569581186,41.62284684036049,39.10861708424888,42.34561565599522,41.675437394635814,36.696860264166695,38.04217568213294,39.965858512438416,37.596603884193996,36.23137617797455,41.30630206904435,41.1363435316374,37.15473713357856,40.06604096353888,43.93498431045419,43.27161249481415,45.192765498401634,43.2382900552127,47.22212398113245,47.09236394001601,41.56460411509091,44.08412440758584,46.85409126044689,44.28223387086114,41.795433860262875,47.70776391977728,47.71896197203462,42.41948764440714,43.534161440008155,48.69404533134489,47.63821248552709,43.78371359269449,39.57086385782988,43.86009325549772,40.61493873518814,41.80741602520447,36.4551174770526,35.28238736116363,31.325155971930734,31.667170715293224,31.952546221750076,34.64299198602094,33.28638440125995,34.56279696738777,29.4751717773183,31.07636258398038,26.396607128036482,27.919162482444317,28.570226711720093,31.16786476038282,27.812425753989242,25.319570275670827,28.549739209523025,26.592991403635775,21.57535212829123,25.032209999777432,27.489165746438815,25.012933002690428,22.776445567637403,23.352062493943045,23.44766241002259],[23.985329137530815,23.089240854901945,22.593617437593586,18.492793365171153,20.263127630395175,15.366170472405127,13.873784413126776,14.687240802454417,9.9178479787286,9.918750913344482,9.46488932853456,12.453093826802958,14.279876153438925,10.897769038526599,14.450940513204806,17.191812089287296,17.544875362152162,21.07064450457564,24.11400927337477,27.160257877328988,30.245252135925416,34.41724156875828,35.361680614780646,35.535911788221085,33.133534053777915,28.691866734851462,27.155497895968214,23.048838571567952,22.414135298185425,21.546222033663437,21.891799241920264,22.460667023100754,24.692350779876882,28.27631929628219,27.43096910720133,26.34761821510114,26.50342147728169,28.207685510074246,29.219881809023814,35.49117605638901,33.159409029925314,32.412258649232676,36.6281172944849,37.83467744981605,40.30158803602776,41.43786608318697,45.08382669145717,42.50610518231237,40.30779257255251,45.68729123058224,45.86396465527125,46.30967894732927,45.80248953130492,40.73843357580273,43.104107422616956,46.071560040885636,42.5318749488992,40.12840942864085,44.518898337947036,45.63318551355064,40.80870125560138,40.42474860209094,37.40343994565783,39.15302023579905,38.08579865847955,34.27862404242772,30.64060399032176,26.921912097868912,24.253135478206868,20.688919538680214,20.380271736679898,21.905863616571907,23.250702041743416,27.521509406985594,26.592688456001994,32.628992807113384,32.69995292710269,34.79611166194548,34.89939057262016,37.250913637562554,35.657874898150446,36.6787801244927,35.17023602310532,36.590892426988574,34.128680979692646,31.38451442832371,32.07386886167554,31.75351817002556,30.600988829132024,32.02087355399213,29.01572286303953,30.744143787243537,26.97628899746332,24.81351239976745,20.348446403173792,19.455292993089632,15.336922398379574,19.36733557142164,17.77316243619239,20.466231818888623,22.7898077347727,24.41637268799522,26.187934110593407,26.76937862732705,31.52517328771372,28.261378797065923,32.02110450519959,32.66155439378736,29.52699292236506,27.25911028345954,23.492864552321233,22.085082820073772,17.328117071832487,18.269338151453212,15.46852809072752,17.199525372497092,18.765676324716974,20.997612802007513,22.768593188657558,19.388246990726262,16.936182925051593,14.057961781587798,15.260278797062357,14.126688912863221,13.166513895455978,18.381942772633476,18.71743291571268,22.23330088424535,25.687127944198785,29.13040824445408,30.803954085201465,34.68958943729276,35.32483931196596,34.38783035640036,31.616024423860647,27.280598920013432,28.327197829179703,24.8111868544482,22.702880196852508,23.715115305209046,25.43526157802686,28.756305138928706,25.993167005622475,24.306374742027028,26.703505284939872,23.641380844935444,21.52759280753572,19.805436545017326,20.42828159372199,16.865757548500913,19.588884252153278,16.654553710404503,21.278779171884057,19.780930195881286,18.70009421308832,20.233327498830405,18.359701353285683,21.323133926345843,20.99570323379834,23.871469294766932,24.786362082118305,25.5216447139956,25.941858275172354,29.652462663392672,32.35000671672344,31.400068063915874,34.544930551040196,37.27907549725868,35.62310093144345,31.68871454703771,31.42669301534685,28.229523412394883,30.3188991439252,30.0487953296753,29.516318797910195,29.77604412240599,26.61711652248956,31.929968379073436,32.584507209013125,34.139538207492706,33.898270275516396,31.08706621430294,36.33647249188537,39.10506376748402,36.340923357310984,37.74791812186634,35.64485951590509,40.75654362557638,39.450445005314,41.75157509273622,42.60763892685044,39.79580526969338,40.2329335516131,38.52806055070337,39.122498881388225,39.98514712807505,35.90756083836525,36.73085681816648,34.85364789545374,32.172483648984226,35.865411172062366,33.37963708223196,29.75408690907626,32.395087221900106,34.652357544642456,30.18019149016771,28.53313476712038,33.02272529388812,33.66061819725092,28.416434813444514,30.536919187803022,33.313063268716895,29.683704257500274,28.218654770117485,32.786890980132725,32.66705530206486,37.3495300716992,38.08711249756193,37.43361368176521,40.34091227662677,44.72341468807372,48.22581732954467,49.77772863067339,49.02763576345972,47.6960627019776,49.27839299073306,45.70560809626339,49.7707644883203,49.80088415316356,43.4898761042588,45.02490764601034,49.04225759383481,45.764514032366264,42.76159576696637,45.35445478739053,46.8558374471508,42.98526957786225,40.51062176387462,37.93700881042669,38.44669832095989,41.685843376512004,40.66031154594696,41.558702571573676,43.68382864714136,39.71322463706895,37.128255586118094,39.67405776988407,39.00698143851051,34.08687987016536,34.95868379305279,36.55140567628594,34.03035488081579,32.48481530416318,37.4652939479642,37.05419983437185,32.80730966711274,35.74191758173026,39.67396353874335,39.22629655337716,41.49814806636573,39.964786114771826,44.06077514808703,43.47175304311055,38.064371361174324,41.08475954369607,43.612398882553954,40.85554167212577,38.89344794535671,44.892074622008025,44.5642843531363,39.37527238018946,41.05332408077289,46.0724641006314,44.716960981324306,40.91277694275351,36.49370645287898,40.84466406163166,37.382665258519495,38.08883742999688,32.7098191852913,31.57021258003403,27.291601970215606,27.8541207717779,28.622644185909884,31.685245676711574,30.73391135404504,31.875602344317546,27.050080226732575,29.235264822676804,24.767960684956446,24.980212597663236,26.009558297402535,28.188422365859626,25.065941644682677,22.31683282343314,24.73963040493385,22.666338312308138,18.049563041201427,20.73056666384095,22.864526806657057,20.23967650490834,17.985950602886284,18.832560387227634,19.298639554000786],[24.0033941971055,23.007847306485484,22.02885186390802,18.725305982732035,19.309351491709872,13.984275797936936,11.932773447843868,11.287202272026905,6.4041179753434045,7.167776209363216,5.961532322950576,7.835998959514717,10.89553812102988,8.946912152405385,11.748894817971506,14.03643073580963,15.3798453255825,19.176769571641877,23.129575608211102,25.459753916836146,28.99103865236485,32.89807288176114,34.34999752697267,34.896453747452554,32.08429331822912,27.841045521857644,25.763143619793247,21.542159764564524,20.13271083424132,18.407439284079203,19.03172778917794,18.63962952769859,20.792964807778485,24.78943642725038,23.939736682564213,23.418727424617472,23.02554963535548,25.60610559285851,26.8813388107176,32.92699959456668,31.356052388907283,30.607926981287306,34.572045448331984,35.86522390291458,38.71426216431209,39.957613129486084,43.47079877923875,40.53502485785025,38.346347452111026,43.64258231618896,43.4575860016333,43.617003376071885,42.990775975195916,37.912332332339616,39.993354499161256,43.27545246190604,40.072066163919125,37.38535242624105,41.72706569203256,43.29075150583841,38.67310181931244,38.16650211399867,34.97232203505017,37.34448746056474,36.30911894079925,32.214464241390814,29.244482625702307,25.162109919480745,23.38017855822931,19.556314912222756,20.049436197816014,22.025880417414438,22.37878472122404,26.577808859299953,24.739966455409746,30.561199877211074,30.33998793993472,31.991436707183222,31.956678577606436,34.35982096757797,32.33678479090789,33.5328266922147,31.546618760816887,33.23935447463915,31.202382453865965,28.225733957809453,29.2328621112932,28.30018528228541,27.785626408529485,28.761646805614117,26.210705828861208,28.200860547661517,24.300042056630073,21.665300681364123,17.167544803802567,16.523784388517267,12.406299738256342,15.34440178270827,13.27553297561831,15.570744123599967,18.23112469039064,19.71794923465796,21.88456503104554,22.533375921034363,27.65647726801205,24.673183242512508,28.45789805154519,29.5858499904541,26.722034027735123,23.92850837830937,20.59463606330765,19.2429489802518,14.601590350902157,16.302660043468908,13.652713768400444,16.364210930333364,17.812033568049287,20.89842437147357,22.611613642913696,18.53181758026507,16.83791417168332,13.707891352191284,15.748265052446989,13.998092416863448,12.424377123063344,17.319846095389387,16.838058085994895,20.237673697898018,23.437980439383328,26.406539958290434,28.804804262565654,32.28170571292548,33.15541887369677,31.622801539984554,29.586021531164963,25.370089454906772,27.16245287389983,23.94062323350467,22.415666378152686,22.94255935979594,25.572338842697185,28.569990422178982,25.392803730753172,23.345167653998647,25.15109327729144,21.559529294629762,19.64011701077302,17.092080079754357,17.272292262064244,13.370231592703881,15.668836940147226,12.220157972520969,16.651508230060394,15.27266790733059,13.818067397644178,15.354461139323067,13.733759638340114,16.932031641084162,16.933691277600218,20.20093782978078,21.98826029201837,22.70985600401594,24.08860896361113,27.40248965971432,30.652400560624603,30.438663677733853,33.1709478444718,36.359250955062095,34.76202692690435,30.980807432204834,30.209840258169454,26.878371783776615,28.228211701006767,27.412039229529462,26.452448606293242,26.168185122975878,22.93827410767204,27.985434826497105,29.183518541102146,30.597150523801922,31.0246699185777,27.92242689242267,33.45637306899856,36.47358632527044,33.96451144789683,35.38223387460787,33.38848799347155,38.67562783811943,38.02163445418328,39.99589209746651,40.968776009960436,37.91546278093933,38.48310604489603,36.76424686595705,37.268748501575494,38.260824104204296,34.409506890844526,34.87899220645398,33.17752012537724,29.99260852920382,33.678132628045866,30.759332216991247,27.428181675806414,30.649663607404477,32.515463315644,27.973543259578822,27.290590157357112,31.5329549574146,31.510926025295834,26.826938224046916,29.40473829327107,31.886652700902705,28.057168977709605,27.419105975569025,32.066910346893636,32.1157375077868,36.35282220884957,37.66843434796558,36.45446887684915,39.08924584315476,43.33865563637121,46.8550052998213,48.22187775068084,46.98559711560205,45.5635433913168,46.86623472520299,43.08259340960995,47.260197094131804,47.670601405926114,41.4171892017925,42.693304174816255,47.038057250747585,44.101489939751254,40.945618594144875,43.42618042829101,45.48843361700305,41.81231519559334,39.04288211550383,36.31047647274178,36.10573890854247,39.19775899080046,37.96951094633833,38.45321716592063,40.37497530095388,36.224639211586975,33.94238009988796,36.595949423025864,35.52207231633256,30.71809966044301,32.06867376744311,33.422742502604336,30.826301798474915,29.78631365151127,34.78801993778127,34.23627499071086,30.271982413689543,33.58311100467058,37.39745918360045,37.124962031732025,39.09330259190625,37.383857778727986,41.604918804647816,41.39767099824286,36.150508515037885,38.978377228449816,41.87351379798663,39.37477162950474,37.37327073609884,43.34562474338374,43.50170417312877,38.493457243318254,39.944496382750195,45.09221023875277,44.164375092196394,40.51123021326187,36.297551974650546,41.01868621695265,37.900447711771584,38.24126048425487,32.994753790849956,31.1852735369934,26.905750719360388,28.292027073277353,28.78536483086263,31.97881197435368,30.65655071396221,31.068599040748303,25.91874477227668,27.581859189462623,23.09027884133127,22.938346133778456,23.202329295602098,25.196972408122896,21.579446840420243,19.625795144895584,22.270406064617376,19.686271021556557,15.340752173152596,19.176023957122137,20.874737095964733,17.91640299772154,15.578576920174227,15.919550481379654,16.028587545520946],[27.448243928065825,26.892914954497446,26.559633594259854,23.07235642880274,24.3074551710778,18.855317660034807,17.117059935461757,16.386393060939884,11.590113122830635,11.77480561548387,9.451298838585886,10.955316304525624,14.484035317693452,11.802547352943158,13.271437428699716,16.195724157772887,18.043296686229834,20.97936055157865,24.697414012579124,27.445441174461582,30.590083851581962,34.76608461916958,35.949922689722506,36.72911937111203,34.32490204502515,29.98965273113514,28.461863715616577,24.410884360122147,22.76646793981501,21.222441722751675,20.133423478191652,20.738627095408106,21.96531844251834,25.67903203395008,25.67677844741705,25.380131432997725,25.731124471795663,28.42606741874578,30.103229568059707,36.26511943481723,34.608760709689285,33.177147394790495,37.09624796734327,38.76888413642849,41.54394853797274,43.122231096349104,46.46461813168539,43.447758999400826,41.716511566369476,47.08634221891766,46.66800132222108,46.9977608389035,46.06849479365088,41.10682274554139,42.78962366397922,45.8814102741221,42.646557700577695,39.69747156953758,43.798944179465636,45.45752783922428,40.585855357017216,39.503017766751306,36.09875353507799,38.183916492572784,37.669793414601315,33.78622912294666,30.22138847276812,26.16948605368588,24.01197957367012,19.843207846696387,20.12908276677657,21.187490186727985,21.79815537318565,26.41735280140017,24.972418862448606,30.48011195012014,31.193175070255105,32.62990114993851,33.28189983806019,36.16847462428247,34.64305460629528,36.41081107421929,34.74430718227143,36.838717034691065,34.88489586958837,31.516506066094227,31.89548858778932,30.755104172381362,29.604264743545006,29.900080240534113,26.913217012346283,28.030801529036534,24.07640038746189,21.6392587230892,17.636940288378998,15.884631134811027,12.347738777246823,16.41069747716465,15.265105542315299,17.685517473118658,20.814099509069337,23.22978968548469,25.363615835395542,26.753060260498323,32.0757828592986,29.48045781181576,33.34285177939681,34.655660495236745,31.892724482211563,28.963394818897576,25.764446931694426,24.331737971794322,19.725938091027576,21.142325663744245,17.88081240925104,20.285355341986797,21.03121627808627,23.936383043416203,24.612476740858476,20.58136311614362,18.90393242358947,16.39352473581236,18.934464152699075,17.96788369961762,17.089510341584727,22.172238362249473,22.048620080116923,25.406745223128524,28.6390064168637,31.485323000006755,33.99175344741353,37.458306235895364,38.23174421617619,36.59116742054965,34.573008412604274,30.312681940185396,32.16987865495996,28.68312863932756,26.797790569919513,27.161139166109102,29.15999476968317,31.87280241116801,28.555297541138057,26.976055169407235,28.694500756605862,25.112994556491127,23.55728992508241,21.257936423658126,21.87414062692261,18.17442369854837,20.47286592230845,16.626864132917373,20.472979876770093,18.15655452536527,16.390792018411968,18.608181532664116,17.43309694779641,21.146025941741453,20.843921870164134,24.795297490536726,26.579359012241746,26.657323393508907,28.267534638114125,31.37392059741142,34.88867135353876,34.71195297505956,37.73813127948315,40.84584393576055,39.45923826086911,35.56292211587244,34.967290636848986,31.506111330365457,32.788421662697914,31.88458740596245,30.666852217496686,30.306572661016027,26.664625251532076,31.57599658737345,33.01675482984789,34.6905374040001,35.3663685456218,32.59327832166407,38.167103680689785,41.167202559595225,38.59635204076632,39.594453583732346,37.24690380298232,42.55581732134395,41.86940698897796,44.16441401220081,45.34753206655731,42.4134409610825,43.22992600601,41.66914637465598,42.30171247769842,43.390759353735,39.55444724287135,40.096122868092,38.384296102712696,35.21009018989311,38.82672771332511,35.829050050107085,32.55640891550766,35.696899364788464,37.451436800033896,32.82193440058173,32.0905850216494,36.25686608059705,36.06418928919901,31.25298775079995,33.719982838417046,36.05196682029176,32.0338217842163,31.26798279430519,35.87122211646369,36.1786655842765,40.35980164780785,41.97394794321234,40.9554245177631,43.50120218043268,47.93465068034179,51.26364742430358,52.85932244423403,51.70086504993191,50.43928986804623,51.808817260488006,48.081169600130885,52.33727567933572,52.72381006040935,46.496798086437444,47.84030093542153,52.21150181824126,49.2368239005909,46.12980991857952,48.64566849226006,50.652381095366266,46.927768644255266,44.2375025548475,41.486996021749505,41.32122394973324,44.381606989053836,43.0435298854675,43.460011564657854,45.187381972289735,41.0549104097106,38.91211049994517,41.40027830926253,40.10943178843478,35.43997373951105,36.795363019911655,37.81794798833905,35.067422315642034,34.18749731511104,39.08762798513808,38.21722185749844,34.14594858578856,37.64797867516999,41.46331733475911,41.446496020208436,43.58720010520789,42.08921964913976,46.38279276559547,46.00446926959513,40.862020977185864,43.89003719444153,46.69721671724308,44.11701414021127,42.326932404180035,48.31629944157107,48.30146350899015,43.30771660768493,44.952075950735335,50.03838731074271,48.92689870945971,45.249530855496026,40.911701987925206,45.50003483088922,42.15964407673508,42.46006822257451,37.161736230919544,35.62110550961422,31.187519718471314,32.37491180025204,33.192364049627066,36.44230720807683,35.36846907870584,35.97723091658078,30.956546903146524,32.76810980926764,28.290997383960413,27.94281610433049,28.221155074940707,29.986330300798578,26.272647740107402,24.555750892808327,26.779447920999104,23.88314101237027,20.065931355262375,23.486310467029362,24.739782924865,21.342719257748865,18.85708072637548,18.958703512531144,18.92820450882995],[26.54641402975831,26.2148629328232,26.407605594433537,22.640195386701716,24.736458809384192,19.305127851461823,18.140685514989755,18.101623561606374,13.310202390710545,13.794037601584076,12.131941238158172,14.062960245312311,17.23361145244949,14.108251302861683,16.228504707920706,19.242107884954667,20.579441659951847,23.563665719298033,26.85072699453757,29.92062299323445,32.88917516126669,37.17332279846566,38.11674263671714,38.65238493515077,36.419724373384824,31.98498171537026,30.64971920482903,26.610690044860036,25.393020547039708,24.166305564197934,23.233897064550206,24.041496482855134,25.38764956256289,29.01244354559775,28.94525871565225,28.41535541861303,28.844839918362755,31.18278051673929,32.65404398370944,38.90924992455908,36.90047828730012,35.6164021797052,39.67578918755722,41.23504830297141,43.82899391526159,45.27158035988338,48.729297918751115,45.91727363187946,44.06973588009657,49.46724769282727,49.286417277896184,49.70480721857402,48.898052314775406,43.904813062464434,45.79294145200541,48.79723136369111,45.415874384566024,42.63105906195109,46.79099559566209,48.24013161968234,43.300889952361274,42.33520705064925,39.024237346068915,40.836993916986295,40.26796030647511,36.502112085474664,32.6592408407183,28.790135697887663,26.202028648813336,22.206069554681278,22.058610026990305,22.861765569484877,24.04246228195876,28.678998716666673,27.688666111380925,33.289296730942425,34.10533681066816,35.73542653332769,36.403662495528856,39.22607743884498,37.79671255592908,39.40261919723276,37.82644535236623,39.72900523495353,37.58508998277828,34.40641398694407,34.79679010581452,33.9222797004312,32.62117465709389,33.14874379864664,30.020989017218447,31.04742397962985,27.15638258984372,24.893172299055298,20.90367732948641,19.09165794612498,15.578643928417637,19.856482823309,18.65867797201109,20.904900015810664,24.144890790421183,26.258255301061503,28.477273733979974,29.526363359469553,34.73829862707052,31.803231284402194,35.52369760165155,36.5842000136461,33.530049506475805,30.896132219179687,27.375324771993977,26.203987598609213,21.492506888646478,22.81475707174233,19.76700790013018,21.781976726416232,22.829315279937934,25.28961813112281,26.22582923360775,22.585347306007055,20.472100606289114,17.9714918434853,19.87353995032114,19.001732714206224,18.1041004277623,23.29374480590645,23.18430443147981,26.789684686663325,30.106900803875227,33.34795478921517,35.37148532586376,39.05685723117959,39.877042251664996,38.59892608045983,36.22836730461657,31.928247846047224,33.244016436724294,29.793792896151977,27.739016477012342,28.51798679882349,30.18517630738872,33.20801071046313,30.185261395780337,28.67640108220887,30.758086758828707,27.429409421523296,25.649881854975888,23.628010812312635,24.222789060140247,20.466120164976285,22.73675933532087,19.00467770586388,22.959615660138663,20.35770824504862,19.17282939808835,21.556384262225507,20.40786753110985,23.88529067822799,23.74953818468643,27.303742933958517,28.82898210343214,29.18978165078557,30.268199243448382,33.6657319121035,36.805169652992,36.17942076219225,39.31453322509725,42.18375207662742,40.61979630257053,36.69017470756765,36.31857618755367,33.018459557454506,34.755488451751546,34.15101800853764,33.21801616454985,33.06559629270847,29.582368298960766,34.62197580741609,35.839884283854346,37.46499149053834,37.80503004433095,34.95490383419832,40.420087728776885,43.33776548725581,40.68225478412382,41.87552865161941,39.598941766796145,44.82535517215942,43.796301767453414,46.15994749016377,47.187388899440464,44.32333759988898,44.929151506671495,43.259433173710775,43.828060112337376,44.717483241136776,40.69081116383293,41.30022734486714,39.333740407329884,36.409191176650666,39.881556123975436,37.070678454053024,33.65720590398478,36.38505331966692,38.25259111807943,33.60146522240283,32.34597396817516,36.56244741782464,36.64690646485885,31.465679817254095,33.641263200005405,36.05431968445432,32.09289131253768,30.850501950530727,35.37592531292882,35.70681920636993,40.06105921203117,41.54090502313253,40.87406063186383,43.49947935806115,48.09005477049244,51.31593743540072,53.12521417175986,52.29666469531303,51.19606762646863,52.804208084655166,49.2779199211475,53.5425748053723,53.634379512037754,47.398585324873665,49.004574038819825,53.21266153611372,49.99289462639128,47.05042614386731,49.74849327136322,51.370144354271105,47.490543625573856,45.156412285453264,42.314067563304,42.66686927182597,45.74737024055432,44.36899642445667,45.09316183321175,46.81364452716793,42.88300916619658,40.555131558439285,42.790045679026676,41.72326050211693,37.009646314100635,37.97048215814096,39.02182531906061,36.269331183322,35.06696444509034,39.916007375856864,39.04473342633614,34.74496479736875,38.046504438111,41.93570522505428,41.89581768028846,44.30639640771843,43.0341004122643,47.2861514612148,46.56221436637758,41.38253206384938,44.65577467402568,47.18515521017352,44.415882830115265,42.807569269242485,48.81944983439551,48.43933684227031,43.39647711686358,45.31932270532996,50.27913539837858,48.84727875181485,45.11561867433508,40.62701584030872,44.999874061987974,41.42151771041663,41.77510695818887,36.43458483591359,35.28326534809169,30.786180618985497,31.590818460547627,32.69941978149766,35.95748163515481,35.2097470874933,36.16594992594681,31.419711495283767,33.647147371966305,29.257601643603536,28.744182851551276,29.515613959277456,31.25589317649866,27.872762420679997,25.67892489843294,27.545449010817553,24.882042279930488,21.0681916628724,23.665294303668475,25.005702894278116,21.736870714830086,19.300132210833425,19.735942516925192,19.99864282876303],[22.104621115239002,22.00716140525427,22.600800890103415,19.368245286226443,21.778406250348315,15.892871799379957,15.585673931554695,15.422751355866227,11.22185878251943,13.41950376233475,12.577105907675103,13.70013413333847,17.477926544892934,15.382648838868224,18.006147902978423,20.483842462514744,21.93606614505014,25.576624439698723,29.287958243356375,31.90437300631678,35.26906639028649,39.31011647748831,40.57546376186037,41.02296499979378,38.40239437244889,34.06388321903547,32.18782168315645,27.981714056056486,26.72552932720001,24.98846176652866,25.158498990291452,24.80952388375023,26.447949403480518,30.570258760829777,30.145219038588085,29.876585644744267,29.48907871558321,32.230272064922744,33.47131581054474,39.50279912198954,37.84656132647524,37.15159603039827,41.158961997510126,42.43212306436838,45.19667950069679,46.3440807335037,49.92434602976907,47.09373639511556,44.82100668302342,50.09760806811729,50.016033400608826,50.13455280807311,49.55472043739293,44.46049815043756,46.52052033598821,49.85898651294685,46.680471927868226,43.951583733306634,48.24452274773169,49.85880340312165,45.18985504513651,44.519825272931456,41.22737983328434,43.49237991873359,42.64611783942876,38.6292608687528,35.368984669115356,31.331369242644424,29.212410960282163,25.26321107215265,25.433545048594492,26.775651471968086,27.588909674959226,32.076372965390185,30.5479518424869,36.19290827048518,36.46924265368354,37.92901740606742,38.19879996790437,40.7910653243915,38.77494779424274,40.08150594462488,37.90826356398235,39.62213103210522,37.673563303511926,34.76112676525415,35.83374317113221,34.72117552992809,34.227610468442876,34.80273634001754,32.17189558604116,33.68003606904542,29.68657480403893,26.988529800030506,22.82010429516508,21.425342706429223,17.74161785638266,20.809229336917973,18.74337212238666,19.836829491838,23.78369263261286,24.735517043135246,27.72338368907705,27.843877103670216,33.132762871006385,29.75625975824377,33.0134935749157,34.101302084628166,30.74385029985714,28.190413724005634,24.56549344793501,24.261828459841624,19.686964596930565,21.825454205243364,19.786134731250485,22.1695219080691,23.965893911673778,26.617309590945197,28.47089706551709,24.687558789853217,22.619935128071457,19.584264270263308,20.943178746806232,19.216586036530163,17.289921738521528,22.119139609382373,20.773643124714056,24.75930726741658,27.81311595296332,31.316098378047244,33.11491208004383,36.675405453334946,38.006820308145286,36.792991898199624,34.68833874045068,30.56355440772267,31.562684567974536,28.781999322970997,27.2958160864778,28.463002370228388,30.860038696210275,34.26645541193746,31.400272951777147,29.38334078448458,31.489741154736524,28.049372870382857,25.950878480012662,23.45417290727967,23.257091423387312,19.07814658702608,20.454190643427143,16.54159018123385,20.19957716175514,17.14808548432318,17.016092947553098,19.75592342007019,19.1638972983486,22.137611218795065,22.97945103447183,25.835547003742626,27.945723731762552,29.133425305079616,30.221363657926418,33.74895774320944,36.662292858800896,36.02300234176914,38.67317224221051,41.648239864740866,39.6610353344093,35.9521568099116,35.315050549374384,32.30704895924769,34.07409224180071,33.436988215587654,32.66399612546159,32.22639399481161,29.220772960283224,34.074620130291855,35.491370480176,36.673945436908895,37.12793912615789,33.60517426677899,39.10624479740568,42.16127036937075,39.74541581505297,41.56457081128371,39.77319615706608,45.00454823381172,44.161513622055914,46.0540607551639,46.79336859464073,43.71385389935165,43.898493382137765,41.894041782254675,42.109626353002234,42.64661637615166,38.517471660891836,38.7166643427745,36.387842391131194,33.36399067269344,36.41514852803166,33.4727045457949,30.190633272478042,32.723650403117084,34.28376903204014,29.54200160501146,28.447523612475557,32.406814766117634,32.220265296515514,27.027057479179078,29.20337079491265,31.41194615580876,27.341316308827672,26.233120155970806,30.731315257024832,31.288141259639815,35.4116095622695,37.35833414156261,36.6076587142512,39.03471082521462,43.73297709692787,46.79936204492752,48.74891114874317,47.94471303434648,47.05342005164991,48.7876473876897,45.444234936713,49.849984152542454,49.80853617865612,43.67093780575591,45.50329565917751,49.77837482152156,46.50915787508699,43.747043209883046,46.70324102779474,48.24322619405731,44.3142789853346,42.41164689526666,39.10833024619095,39.6608858568312,42.53560980723095,40.78172394528689,41.65793420039469,43.07409338810564,39.4285158837349,37.09411743418474,38.85503010241702,37.80116195856299,33.18657489552802,33.85312512839521,34.68574549845269,31.881615295675736,30.603781889281624,35.3489972236752,34.36148243493212,29.974419777453274,33.287957480851325,37.168930170746,37.257352548807134,39.802450197931,38.765543611803686,43.05616743293068,42.12400355111926,37.09055810482294,40.600532423321475,43.02240898344733,40.222523786659444,38.94784066859601,44.94266158050037,44.47437226536856,39.597816868294444,41.79494696809783,46.64783689412002,45.16374472079448,41.54576184655971,37.04802502604147,41.53524491803377,37.98924815787813,37.91122586325509,32.665529255443666,31.3237097111079,26.702162772463453,27.915873676121684,29.211188238436215,32.69126052670503,32.093682634236195,32.72542845750705,28.182594097423213,30.62929005994328,26.51305477831243,25.039016934011748,25.934410694447322,27.324193800478174,24.167982624391815,21.933386387948964,23.20415409922784,20.48493492534678,17.147891404919243,19.260676076175628,20.25707326269865,16.92735785556965,14.531145424743695,15.172981861427884,15.780287425973336],[24.32206988099826,24.77564571588171,25.987183836283098,23.187399853662498,25.798811782057488,19.705386944001397,19.696018010299888,18.95204259668978,15.055156143553514,17.438280493499956,16.000555443498527,16.31349204880774,20.876966708831407,19.045309909931234,20.80231520426952,23.32188641171028,25.412831892799215,28.738022540593157,32.64804798484891,35.20248354838835,38.530411831599025,42.5996893447818,43.916124214214335,44.61596538716687,42.060327482061744,37.74654569104505,35.939035022127406,31.768641857863873,30.11760860585328,28.07946288845753,27.49708468817888,27.126123768962778,28.082822509454207,32.261161039047984,32.39282582960474,32.60075580794922,32.2836395257261,35.5379976364228,37.07334632213348,43.031378028620374,41.67785763210029,40.681324066085494,44.54993098063805,46.04158331262939,48.92610664947081,50.256186799539925,53.709235461077554,50.69826669992309,48.62835360747081,53.88894344803673,53.542706804679256,53.58477737790022,52.809027604082466,47.76962224188664,49.47230058571873,52.89360952361255,49.89129322409865,46.88014480432692,50.99411793044446,52.90475919151985,48.21218301988488,47.14324685081512,43.64355780069632,46.0357587062019,45.52918701982187,41.51739323624615,38.22598320915465,34.07804425935055,32.11245130317501,27.915804034788255,28.24199360137305,29.158851893630125,29.776821521734274,34.44506078688424,32.78750872909091,38.03641146207767,38.78490068514764,39.823169590881406,40.461920494602,43.36455556816504,41.37785775090832,43.08285300977416,40.76096818806506,42.8115427373224,41.155764953986804,37.97373664196031,38.92596568116829,37.34845644822594,36.89581445444788,36.769565217131834,34.17925705811178,35.20860609800745,31.160739561420428,28.34068814032359,24.622663784295153,22.649216658884377,19.55711429452251,22.426819016184798,20.587330128304146,20.989413225831488,25.731568441703175,26.828287118003928,30.259005149204206,30.588870600444377,36.17830609807601,33.034412295464016,36.132652662625226,37.55278347734926,34.256692618402255,31.467097980396936,28.096587197700654,28.0860176558782,23.650322035212294,26.068435352444972,23.956475242052274,26.524297538901653,28.059201948427436,30.87328816933444,32.289815147813556,28.32753350406204,26.473836818823152,23.61476646109157,25.34326110814652,23.724508656714924,21.815698917259773,26.58067577299435,24.867389982534405,28.879865557030556,31.76089049123074,35.10384898443629,37.1183292515579,40.471159398339,42.018630736091716,40.55820083575608,38.816353789957475,34.76821856466871,35.91513531171528,33.27084842668569,31.876857758747217,32.9252478000197,35.36233752257461,38.620239878402124,35.590468032451554,33.63522986618336,35.52821263505342,31.90026358734099,30.001257447586244,27.274904829664994,26.97727427376957,22.709885108651292,23.60962945947744,19.22401977753001,22.06424591356856,18.033642286877765,18.08904377022311,21.529086187634544,21.669262817787835,24.858797048067323,25.976018920586714,29.183135979326103,31.793531308626505,32.80802933487438,34.35809646829138,37.66674960016698,40.86191261182184,40.45594057961271,43.0306319539828,46.117099828049064,44.13952856534064,40.46972948940145,39.72047321475562,36.68388599955956,38.19470088518625,37.309314148545084,36.26500234264868,35.47113513656951,32.328622004599644,36.876236557424136,38.75960104691546,39.91210200204788,40.83554112635625,37.203151626875375,42.835839138493164,46.01396596276216,43.732372179968415,45.48036818227408,43.63997948047201,48.946860726328445,48.34503396856991,50.207840849572904,51.031620103944086,47.88086256499408,48.12783916932458,46.10403534260755,46.24158982628665,46.738675545755044,42.658265937404686,42.62308885648153,40.18402084425915,36.98463275480431,39.74282861929377,36.54722808102416,33.5217546627654,36.04765394923679,37.196463628889205,32.375990136624175,31.663754435798822,35.2625339044507,34.53767737560199,29.524183965424903,31.68910373905327,33.473458557888485,29.17533114700603,28.33290350997694,32.662335779924156,33.667334200758425,37.361507548660846,40.04469127087891,39.2791902449893,41.377048690699404,46.22861516268703,48.97052245573712,51.17029559356995,50.309691050763476,49.679156528249685,51.44861999269932,48.217278669687076,52.78876004416576,52.77090883914834,46.77430257499203,48.69746941765314,53.114019756247195,49.90798210477565,47.25489894915298,50.3260633338952,51.93805436545085,48.019118879364946,46.32306887134671,42.749081805606956,43.205434540311344,45.8820501836073,43.774141417516056,44.52036490358595,45.501831393625714,41.99594996709826,39.91510534295053,41.28199206339575,39.88645728150252,35.557684357056374,36.22853765393072,36.50432229297395,33.52897189797185,32.5817355709308,37.08234186901604,35.647824737098674,31.282644768872668,34.87571158729373,38.642534474374706,39.14311241455594,41.80912699942298,41.078323642706124,45.46139747860032,44.37155931406983,39.64491430714272,43.37876192778937,45.74989043377772,42.965808822827384,42.08160256462548,48.018376663697644,47.48865980716659,42.82437867279887,45.25785993369867,49.995525630086846,48.44636393554637,44.94601740314106,40.43727021155342,44.91035718672463,41.31019880937526,40.85401088867896,35.73892705850682,34.38124733802075,29.656234024468382,31.10893885981939,32.689310072830224,36.304139725707785,35.90459517547862,36.33110800076035,31.956434298863538,34.43014896808558,30.474581129674984,28.33293501890798,29.012306052083613,29.929169855208972,26.6888237184931,24.992735746787915,25.631789784083157,22.483104196387202,20.124554865743963,21.96375791988196,22.115584213502636,18.324253401716245,15.949645084397067,16.148574929471895,16.547535870417512],[23.45951338962966,24.46764004997475,26.277634266485734,24.44415016789345,27.084569405843858,20.84960168593937,21.563868092179835,20.25780525061129,17.380104608405613,20.70546896687081,19.480055744985634,18.768984769937763,23.898062666856646,22.981711021830083,24.468721730885626,26.54827298023813,29.057279867447303,32.5639539298256,36.87155818428095,38.997739566938904,42.57734726044379,46.4335161849219,48.046173410037085,48.86856286566782,46.05727444624034,41.87842439295245,39.71678560371173,35.508635642543005,33.57257478751516,31.00825987162939,30.772358907206677,29.537847170690743,30.25248899456057,34.732941805276326,34.93278188562151,35.648265765374504,34.763119055994544,38.61562648988608,40.16867923205077,45.81149183315211,44.99044942516996,44.230395792688206,47.91187563781262,49.32762390458099,52.421648176087906,53.6573840393201,57.076364901339154,53.92262551626432,51.69708952205119,56.802955453391704,56.3210065387022,56.06061822349491,55.31990384608843,50.29217725450645,51.84573811826576,55.567861094320705,52.88852656455974,49.74525530627966,53.79966660794181,56.046634078160615,51.59762171233556,50.501991542773915,46.91064000813139,49.74696781089959,49.24485734017702,45.06561515678126,42.26025125198005,37.94914662815562,36.478000521214284,32.21303890496195,32.877797227659,33.96387729666861,34.15401750164669,38.76133612787449,36.60978220377946,41.583912523004855,42.1743231931447,42.79068225712198,43.33318260647238,46.219304993588686,43.80741894647105,45.53288646414389,42.66967653656196,44.78936804705897,43.53623304246686,40.407740667938675,41.78459340871919,39.72215458345704,39.93899205199454,39.39399093196693,37.2753963511093,38.384948510341374,34.30188548310198,31.141987389460528,27.670371413510907,25.767630855119013,23.010343434270776,24.75168536255989,22.516819478930177,21.51962935093582,27.094890418170685,27.3296990508922,31.548273112865356,31.313700758703686,37.03389293150953,33.84244682680937,36.38663669878691,38.08843136859085,34.734467419974685,31.860004523955634,28.782214324887327,29.61120411376663,25.58644579453759,28.67987102790048,27.24973565753914,30.14714543316263,31.94165028828394,34.99944379332534,36.7213188164088,32.55663052166348,30.93148941259851,27.882534906652932,29.538128780951034,27.4733796450283,24.999061670566068,29.28167581373625,26.50376854099417,30.60699234744609,33.05374334367939,36.31634142173087,38.35888931214774,41.34639234978169,43.416463201447066,41.78595045743193,40.60859844670227,36.838696124733445,37.93344901847484,35.92392841330561,35.055314535117276,36.20092487604847,39.1952367225636,42.53654282016069,39.49758992870423,37.240444418618,38.93187828926094,35.1348341312391,33.208876563753975,30.043748180211004,29.12667091577335,24.69836812517386,24.540337558206595,19.954033752601333,21.67478701016144,16.77856841317622,17.900439540537892,21.877454624533147,22.981130755578572,25.764618610463206,27.75740832770471,30.594775943184107,33.947460354530854,35.39184726415776,37.29453513834874,40.450182006148836,43.67641314811199,43.50194978946694,45.61033150457306,48.86200591285516,46.63208653793764,43.21094967685859,42.15427634298275,39.335446954634065,40.58698316702166,39.47509816927197,38.34555545237049,37.0764699159131,34.26984043186193,38.33392588127857,40.68238733844974,41.45234008700286,42.82418670830763,38.67690475613806,44.34091147807812,47.67982637990052,45.72681799970361,47.85121801316782,46.36092422062664,51.67609338190792,51.44417407613195,52.89608149447288,53.576932101667616,50.230326807315244,50.23320777729405,47.983857077399314,47.80203026816535,48.02887947828756,44.00971311462216,43.464321917946705,40.75798645265001,37.358043044052344,39.51973355918381,36.04412830461272,33.44210136049713,35.834578194740814,36.343169373960876,31.513772611527646,31.408030311083202,34.385002661244265,32.92224314442818,28.302202138187177,30.477191367525883,31.64870316093193,27.1601870462038,26.857677396559346,30.911122352869974,32.45591717589564,35.44570192365598,39.12667650114349,38.1826750423689,39.77934108425764,44.7256481416106,47.06761360465642,49.498925617933295,48.52971319969582,48.25062406497018,50.072716545542924,47.075405458608216,51.83735563951466,51.798886453430825,46.07478686510109,48.16551749772768,52.73049491462754,49.63412965543666,47.207673054917045,50.491085436699365,52.16586953625213,48.305030603417556,47.047018449072496,42.97820509178252,43.39418416564744,45.70193330968787,43.04996730168881,43.74142659595093,44.107213197646395,40.97120756138209,39.16349337503467,39.839867320289144,38.154323126038385,34.248209159511426,34.73921066088231,34.34328741139206,31.243109483207324,30.616629362805607,34.72487001907112,32.827498355865345,28.559460624329226,32.38541960216294,35.95467786787224,36.918797151070585,39.6849612427229,39.365382022796055,43.7985823121665,42.50889144843301,38.248510788106664,42.23364332452663,44.511198626912126,41.81004264471156,41.481763595085205,47.259493608166935,46.71848275622672,42.44441826816659,45.16850971626081,49.69730018094043,48.16910959427184,44.918975251671306,40.51744804962593,45.060386122409064,41.581300467873405,40.47145644062308,35.661662753187635,34.04484015458221,29.30082699280198,31.35196403859042,33.15904612384341,36.955294321674415,36.735906841393636,36.641630415684205,32.604121394266976,35.09937001334399,31.57612718288182,28.27587220646404,28.74659158057679,28.952791357017524,25.900534625626538,24.79133285370057,24.443035063488477,20.972436422169768,20.044167592010297,21.319442013850406,20.372505384455952,16.3018601790087,14.18803838492556,14.030021716756236,14.424356687886627],[23.668024557801324,24.986926109310957,27.42460202296967,25.205771226806913,28.750498641146002,22.73305886332692,23.808020526011536,23.282136780415218,20.11579316141944,23.177048366206645,22.16416028986758,22.201188453254026,26.901059431311214,25.284890222213196,27.227618358823452,29.623812336504912,31.69367153384591,35.16470875564421,39.059798004392015,41.604187624270445,44.971242802259034,49.01862054317777,50.34003386599606,50.945497087284515,48.3626119178892,44.039029647189025,42.154776552664146,37.94796641015298,36.391698381974635,34.22901050820158,33.87014397121023,33.1624511270973,34.01002429061209,38.32754112996566,38.51449186075851,38.89480846436024,38.306810229598604,41.718413054204575,43.136456009340314,48.99258471648563,47.70891255937842,46.95757747058263,50.83048301431337,52.20107102202221,55.08708136308679,56.251272155719846,59.780515911138465,56.83363242147969,54.56764579499942,59.756992219216976,59.510892730315625,59.42329129400591,58.764833029562695,53.692851285467924,55.447650859990006,59.013294750679975,56.10229608034195,53.101466513371314,57.227013723316716,59.217219207249386,54.601372081684154,53.56055588161068,50.03512151524198,52.51023955933763,52.000598266268575,47.95696116306569,44.72081003390014,40.567977728713494,38.58536831561424,34.40264004418617,34.65497704356603,35.44993760614913,36.19192576674789,40.891999064621764,39.24714291987764,44.392757748077386,45.19421473063866,46.08339245969219,46.72832134583627,49.6244107161104,47.44273990342731,49.0760621742948,46.45990130923371,48.42749924602669,46.890683395652935,43.86546378830863,45.088310417499606,43.368532674604076,43.20466405629017,42.92658729188415,40.48924677623849,41.44138264526705,37.38157808246714,34.45907691573125,30.89237768414886,28.83179394724544,25.92729567944072,28.407563999097864,26.353148864880268,25.8666725633541,31.174903301729003,31.553499466468942,35.54481908518862,35.25939422617745,40.835397262597475,37.378319010774554,39.93044348514554,41.309486929535076,37.708766322433185,35.1699349797525,31.744443985395666,32.56763417753692,28.36052935511457,31.138216441861747,29.625346521314825,32.12613218245429,34.03511480421653,36.686511656756586,38.469849427914006,34.63069698930515,32.62586249354233,29.662792334677928,30.916687311382418,29.085580295788557,26.799798512806444,31.25737816117089,28.808629654770417,33.06381094967334,35.67990101339139,39.312544968311656,40.870426235537366,44.14235010842285,46.12716710353326,44.89144715926686,43.24184690709729,39.37513116778282,39.96684614306804,37.85121461651333,36.69927438030109,38.170065193966956,40.70691271866012,44.27592251770987,41.47659422468731,39.37865121099189,41.42314280516395,37.857962099260156,35.77497943804049,32.96169271087886,32.26002576676905,27.858364817897986,28.058516354617414,23.704167915436926,25.860284790128574,21.157593645674254,22.32110562459497,26.1436098640693,26.87897658712393,29.647517400886926,31.42105717759761,34.107246386758824,37.004049782241935,38.51700294419805,39.89684449485209,43.34050550580668,46.253963271090825,45.61890835212032,47.95186714426463,50.930006898989916,48.59628047847348,45.09545748394034,44.332126942157444,41.61160175072241,43.334751894036664,42.54478271408182,41.67083050985063,40.71873365386313,37.902487803293035,42.240604703197306,44.27541915400075,45.13530767717324,46.09615883346638,42.0378364791518,47.592457427227124,50.811374480800055,48.69311256271343,50.88070476303783,49.337138190174606,54.59219554360394,53.95333374981967,55.58729423896142,56.16565849094192,52.939715263912966,52.80722825951611,50.51222042115765,50.34288112234276,50.42413883401686,46.21313193052697,45.846477961803956,42.93439412599878,39.876001014867676,41.96722946894594,38.7907368065341,35.98597851860448,37.89763800819764,38.63117588405223,33.85154949605947,33.0202718232928,36.08628297614791,35.091320245416185,30.032229113797246,31.76435520522069,33.07346612204255,28.773744426256044,27.746611882899163,31.61238851694829,33.14847210933828,36.381456319411235,39.77320240412801,39.34014168313788,41.06527170622686,46.16714477826039,48.376626085552616,51.0611156085544,50.54478463242254,50.43569238419009,52.53163975664688,49.76811601004228,54.47713864941551,54.089848349410616,48.35942357044665,50.71797083303497,55.04130357406804,51.65675486683233,49.40702271981915,52.84416734319338,54.05404554927332,50.026130987488415,49.1165932295157,45.05743942128545,46.05647057856473,48.43968982550509,45.85823136306996,46.897247945284356,47.35971234353157,44.40869171031536,42.365366127448105,42.87264232171997,41.512154792691675,37.53523911062564,37.59616626651687,37.34179316239217,34.31496332641422,33.254345346517056,37.26786323482786,35.45271639896169,30.958917120757775,34.40515880340113,38.03121283805277,38.910450168534354,41.986991118288834,41.90993197430119,46.23511053796499,44.53996894814902,40.23201143963201,44.44930768729317,46.365614323207986,43.438442773936266,43.281716156148406,49.05381473689478,48.05085327262466,43.71332318841408,46.728714515701675,51.08747393566589,49.155981511614,45.83988504940972,41.27652885384697,45.4825325319481,41.70641256344329,40.71902825135178,35.890921503558204,34.85012246206499,30.101562486658647,31.55307403796655,33.7104081603038,37.44691992181549,37.62629399983539,38.02102768521194,34.31598027312386,37.23740236976951,33.76487765726901,30.56643518260747,31.612058893642555,31.93142473911507,29.265149146562486,27.543595679774214,26.97882262159969,23.968894878012524,22.789720572034337,23.140230099159588,22.47901477172675,18.829182750078747,16.875726127305004,17.19132722159641,17.83962411918337],[25.451626690206616,27.14043019126338,29.90464439589042,28.27779483018981,31.71474151452662,25.668924558986678,26.96860328818223,26.013178320004297,23.292809507864177,26.647891031583438,25.506934529517704,24.960138184128695,30.0408833037288,28.861309769460934,30.41278233644417,32.63047398518819,35.07747606952404,38.5045555196102,42.64793448933041,44.970094999404644,48.4352966793643,52.391003957069735,53.87311128587678,54.64253287095008,51.96225931098314,47.71186070426261,45.69364619978854,41.48550254321826,39.65578173250479,37.177117932923736,36.69870395987381,35.639444717343025,36.139834308711734,40.55380720102092,40.96842157581989,41.73185451040359,40.94022926552287,44.77836496396178,46.319318078319064,52.001379658209125,51.077060655406996,50.299722573300215,54.02887295345381,55.4551812941421,58.484755620872136,59.68961593766998,63.14291431718299,60.052556822472226,57.812738273888236,62.920853126364676,62.49578436682604,62.244121415794964,61.518319332751105,56.4875642156983,58.022000498758345,61.74290720637253,59.05518012373811,55.88598513774218,59.90285784821078,62.160920761065924,57.65441671451349,56.444715399457785,52.80840997336792,55.53125810652481,55.15464151247552,51.04389218785573,48.02755726306028,43.767706974240035,42.077175378979256,37.78626715987266,38.256506933852066,39.00408028948914,39.45918212904021,44.17237393277204,42.25283680488601,47.10963494107599,48.003343857923625,48.54283911542408,49.27915977320171,52.27495398737521,49.930180059355756,51.725562433954366,48.83627734400725,50.962902739734055,49.72080347522229,46.615457329793436,47.96060543438417,45.86365141717,45.99918453640685,45.280904964388654,43.08070055121435,43.89385145793068,39.832067430909504,36.75023429286837,33.479031350014964,31.295796386995484,28.750502901610687,30.68236996614783,28.594388292086123,27.370827294254738,33.143945898332,33.24851990116206,37.642414725414596,37.23745552855845,42.92439987396119,39.597615538534804,41.854380660340894,43.48357319115416,39.943707738036345,37.28370785307684,34.13840922909671,35.340457292070056,31.37121280692891,34.46993966796316,33.1544643785466,35.87038318175807,37.76315597264567,40.60720201398707,42.3405639831566,38.3275037284122,36.51436983857523,33.52701169028355,34.93779110439716,32.966198264309924,30.494248808344338,34.7545908821033,31.826441862913768,36.06145386045921,38.427337786022115,41.90342669698195,43.592813931292866,46.59711439930888,48.8606979338804,47.4325890319344,46.18684512467054,42.474127433867174,43.159000522367265,41.331476421937374,40.42620496315858,41.843417617235396,44.64468782374856,48.16314810297104,45.2696764672695,43.06811683920823,44.92559756383843,41.21244107679924,39.20948797653496,36.13976733146808,35.18373447739471,30.735525322328183,30.40530437196105,25.907288986386703,27.30554989709616,22.134973358815348,23.681568953266446,27.80031815235315,29.117871373715708,31.77358823911827,33.930845148135575,36.60111069673728,39.95563643919945,41.54110096754548,43.26154147707724,46.53504692068614,49.594161005986216,49.18206799375548,51.29007146520617,54.39836833343753,51.98990564616823,48.60917267869941,47.66052814445469,44.99996813890694,46.4798668390994,45.485077038965144,44.457828669659,43.17653958397787,40.451762240356274,44.44340142387579,46.84294750812842,47.53550907697295,48.87685830797606,44.59830260729659,50.19658275467739,53.523271956536604,51.604972465676376,53.89477216082888,52.471749714946135,57.7571299669034,57.397367395597776,58.84130375528364,59.4078001466441,56.0738159378729,55.88522008582468,53.50719791094296,53.18489090099922,53.160193328022686,49.03023285256287,48.35990606212398,45.34240790680086,42.133523338104276,43.85624009771847,40.47972841006702,38.00198655894647,39.87414140048344,40.14851216529278,35.41403746425806,35.057892355850896,37.657450878311934,36.10427719499367,31.443513590198233,33.16046613185241,33.970717768536616,29.597012797029574,29.00484199215127,32.56223932741223,34.505547348022795,37.136473951246515,41.270217493670366,40.72239921309646,42.040148649174256,47.171936840714395,49.02991063913282,51.89149580244201,51.27887690355883,51.43712621957126,53.53399742559806,50.93467373563338,55.76054142054463,55.40215639459538,49.90240768204829,52.32901673192313,56.76163468248146,53.49834262812234,51.39247949925742,54.92730550942091,56.226363372939865,52.26834650996074,51.59496538123234,47.2574035108881,48.13946234916409,50.266559157526586,47.329946014462905,48.25480282048181,48.256160074091234,45.54686001093361,43.76599500539065,43.81864589003411,42.18459695874495,38.5831409868454,38.596103516439534,37.800602506153766,34.705937320306816,33.9817368931751,37.62077304272366,35.41886089388077,31.111275375612976,34.716301108283986,38.1114218502183,39.38810083958942,42.49683729495776,42.731096597731565,47.06562560723828,45.25532714601337,41.36036357050283,45.709158872358074,47.56344888294898,44.731982683976014,44.97216441613323,50.589318927155844,49.60005789431546,45.57390579322215,48.75490910496769,52.95192675803836,51.050399620334545,47.92930795021781,43.471862396092064,47.683275929668646,44.00448616899662,42.57961089451333,38.0160421364592,36.8282217193779,32.13236862544955,33.9452518580442,36.22901730043785,40.04074242157747,40.32439843269923,40.37967625664495,36.88321782322298,39.74232613752224,36.518851612865795,32.694894468517376,33.5061319109998,33.35035101600857,30.761310529642323,29.556758230071225,28.413112515734557,25.192182387014327,24.961950836148777,25.089795471603534,23.675222203618237,19.938835602700042,18.237942564768325,18.18903831589825,18.643096227661555],[26.69890158218486,28.78223769725732,32.16535102854355,30.58716415607544,34.634107223480704,28.83934375557849,30.53498096208215,29.990058615960375,27.32704801079694,30.679557398287784,29.73073615521207,29.46703680453197,34.36685122004335,32.923301658147324,34.732483408222315,37.06331364380057,39.29132330937802,42.741436022730966,46.67975682450863,49.197825856028324,52.57050706778684,56.61146303992952,57.95053047771001,58.58225118536282,56.007479591173514,51.68769155377546,49.78282639078153,45.56921376002811,43.95068632872975,41.63437271529207,41.17146649214616,40.27225946129866,40.82456233133397,45.195122510563344,45.60485389637663,46.24530625075105,45.521495125165536,49.18299420566156,50.62229633118986,56.3756106828789,55.244617633608634,54.54617422638437,58.36998313150359,59.734152742626016,62.659616607613636,63.77496131346242,67.30759983414396,64.34271828334263,62.01959754954744,67.14620227729782,66.8728970014803,66.66547472777881,66.0171814496569,60.955958285774145,62.60973966640948,66.29602880078777,63.519047463406565,60.42875499435434,64.4862756469942,66.63745329496847,62.072740794506615,60.90467814959998,57.295592671440815,59.86316440990186,59.47795839502906,55.423973670032744,52.21545921477169,48.03475946231023,46.09424500301387,41.85722402033248,42.111110699709826,42.6940210496032,43.44537279380139,48.20064182333725,46.5315615709769,51.44545762019683,52.44781379703157,53.08450510492948,53.8655982827664,56.8586940177428,54.56950815489738,56.292991894634675,53.44094056662274,55.464043167552425,54.115826089860896,51.110565451633605,52.45988952110182,50.49545695582613,50.52786299576235,49.90944621554354,47.59832318166918,48.32435967401759,44.27614933843255,41.28577998361868,37.9978980167439,35.740701218441906,33.15536413941678,35.336145252828324,33.27288049250888,32.103074421965445,37.851203729,37.837345429094256,42.24950889165254,41.65300643585738,47.24164143245537,43.709586527076695,45.80044961908688,47.24733542790653,43.52275811274991,41.12140010837336,37.82381451702224,39.23687948333683,35.27005151888864,38.29082758281286,37.0945461793836,39.59711996886798,41.634256716876465,44.23383012339416,46.09512878517767,42.27894728163126,40.25214857916167,37.287919210616856,38.38453371630406,36.48036078972209,34.02375602177304,38.246470409758174,35.30874986021149,39.63512848839801,41.98654430842614,45.69993688359012,47.006841318846355,50.104999255269995,52.44930756615628,51.29147493610127,49.847395719781424,46.15956513955811,46.43353889727469,44.72314539263869,43.75750122176017,45.440560771391624,48.03782431749297,51.74352817238515,49.04096848533065,46.88130359692526,48.94805448745573,45.37022477743798,43.245585460551574,40.328032928345095,39.372811647581905,34.92311868434523,34.59546970558808,30.249303878304865,31.68844328352131,26.537868827585875,28.322335657227836,32.41271268662626,33.6789061209694,36.21344364558891,38.42042704836,40.873423440828695,44.07225729599964,45.823850490876325,47.23928474390226,50.68541565589933,53.502975278745566,52.797063561593276,54.935440245408294,57.86444763049204,55.30308460350422,51.95137126396593,51.1466346595957,48.6399989113351,50.40570672145624,49.59887897553626,48.748363330162775,47.58218643923757,44.9485759348515,49.01442771248734,51.29529100846493,51.946122333543194,53.09029653056672,48.74229242724814,54.24570785359481,57.515493334439824,55.570014098985574,58.021158051147346,56.66311350601545,61.897250799815836,61.32180705549565,62.78448480576254,63.22140692766122,59.92934123017842,59.555689912780174,57.07829641650231,56.666433690999554,56.43654256477531,52.19216894787975,51.50825982325292,48.26127920321455,45.297166055992456,46.75032983210563,43.56695376791019,41.09262874695686,42.50498799344567,42.74463995785556,38.12748008129336,37.38736164395173,39.79240305009861,38.4033036459583,33.62366267505064,34.920871847775345,35.59381340260697,31.442747007188665,30.448883326179107,33.60205360561045,35.7034886029437,38.198835740810296,42.391481168996364,42.24334537700717,43.45414426625123,48.68505389320495,50.23035123986456,53.38577374584612,53.14841823147346,53.59205463547116,55.931402479053155,53.64579175746775,58.45459720677515,57.78502230933524,52.43022246144313,55.12482842630854,59.366572345529406,55.91941111438372,54.06466925520466,57.77705305601399,58.68931560648891,54.64108137578009,54.42150662653212,49.96172248642085,51.30702198657179,53.35723959822798,50.32092183669083,51.510703387619124,51.38228858659017,48.97941175668979,47.1101040865241,46.7900611616464,45.349920974377085,41.87446582470065,41.473415098869985,40.57839171345994,37.5596532923919,36.59789380145466,39.93907777701485,37.680690581351904,33.32187168917174,36.58719866266602,39.877990758107615,41.237627245157604,44.606721630897944,45.20310279576535,49.4048205383779,47.18353923764301,43.48332846029087,48.063350211287904,49.54285882949005,46.58165618090852,47.174796884728885,52.66127266384695,51.26893398685204,47.38761844522191,50.88971368509337,54.81632786676332,52.58389698901408,49.53887581648582,45.043360032369904,48.91976586464627,45.07723038869592,43.52923388310534,39.16351787529914,38.40932010056579,33.82231119397912,35.29122920946996,37.90106854277389,41.64977716750881,42.329539934330555,42.61303627864504,39.55541507237532,42.721511510984904,39.70812896693552,35.676688211435895,36.85754902025129,36.57959064504584,34.38664892033246,32.90832933899012,31.337561316694966,28.464168765821494,28.441062209322702,27.73574324391347,26.255704581669562,22.938282576429433,21.50547969956389,21.687432004197973,22.28156231006681],[27.229977665900954,29.41982849648545,32.78110129390292,31.73868313772556,35.41726186962011,29.57858175442416,31.351730067108285,30.3663701263338,28.130257807193033,31.773058304127634,30.7793476842553,29.98723094232576,35.159867929271364,34.21867069634268,35.750927013257,37.838460323545135,40.37164106482409,43.86422905816956,48.09296788391358,50.31031505223609,53.84340243706827,57.738522817555655,59.29778911979176,60.07501402090177,57.32540335132356,53.10767203378599,50.98403969135921,46.76262839635795,44.89120388890385,42.25679745280973,41.899505815994885,40.55120794157184,40.92416905804288,45.4123745734769,45.88765341575587,46.846666057745395,45.836947310559275,49.8742144518861,51.38554212763414,56.92721165506742,56.18254435564245,55.53952172434018,59.21039295369375,60.57842127051807,63.662713508008444,64.78480552481446,68.24822834544715,65.14090093520288,62.79900566377407,67.82195249192965,67.38697863739867,66.9959977058529,66.31785849926057,61.300006111145144,62.78993906273758,66.63524989233652,64.0909753959748,60.88647234844902,64.86580992061027,67.25672638417639,62.8543288578502,61.626211531594734,57.953643606494325,60.82097216648676,60.46567434174339,56.30883819270972,53.431523002088205,49.132902516804755,47.556148629342495,43.24782706744176,43.771415629549395,44.501559140650535,44.895414841215434,49.60765804931712,47.57659579577094,52.29630894368275,53.194356427136206,53.548506369377485,54.28185453094887,57.276733091000665,54.763035573132264,56.550570346600985,53.41588723688775,55.53343851540447,54.46489055644712,51.436468254263296,52.97421698222996,50.69163516803983,51.09676684156514,50.186662494169525,48.170996018812154,48.94408862918396,44.893075740893586,41.719517885074595,38.60084985324168,36.4046139276033,34.02035875997127,35.592937257847346,33.40344762261036,31.61132743681334,37.64340753529485,37.29662430433747,42.01815073796579,41.26101769957704,46.891250872449035,43.49804442598897,45.33330608299102,47.01290342557473,43.401604619776165,40.86794195456683,37.86681493478916,39.57298579565357,35.85598138827717,39.18358215620348,38.215064587561756,40.96783276424313,43.02166984726628,45.86565444926774,47.77281773302305,43.749125173449364,41.94255342139585,38.89312452710687,40.1509940931095,38.034136388615266,35.35555033214414,39.358939353409276,35.974045216786166,40.23179575919574,42.33927814413294,45.84258679614335,47.34151738340748,50.155277253452475,52.73024321463528,51.35074481957851,50.327499782614225,46.80146551850498,47.256919734109786,45.81798004111383,45.13892586404208,46.71475626383145,49.67212067750725,53.30725813837402,50.492142197333806,48.178400723263465,50.02727963925986,46.30325181473425,44.247350837133396,41.06374750271918,39.84143126205997,35.376920050198976,34.57373244562267,30.169900392161804,30.991514398609045,25.62621433392574,27.70797092812844,31.9243210659913,33.63686981639162,36.00387944120618,38.5540471252835,40.92746527978763,44.53972240630568,46.38506216708741,48.13681194198921,51.39625920525254,54.35505325108248,53.926884261421215,55.80502571622604,58.90239200026327,56.29770814934258,53.07582897311576,52.043259418359284,49.579447118242804,51.05164748763672,50.03182426126631,49.04313052632646,47.577623838909716,45.079951457704595,48.81515477597093,51.39376445117513,51.86536481314508,53.352330762942,48.80755519148484,54.3319084525271,57.69806789938083,55.957959021999315,58.50624060929324,57.29651736122999,62.54816708940097,62.286698251444584,63.5204859803108,63.9507638033549,60.54392278255897,60.13740091206098,57.60160884109666,57.06086716616738,56.780890585366144,52.659038027933185,51.69705200831508,48.4391671387277,45.28561470675966,46.48013701920946,43.092546376238325,40.92165733912639,42.428803412364154,42.27521582461381,37.708411688241014,37.52048955276875,39.558605538379325,37.644151418240085,33.31391720965756,34.73572852806487,35.0136364806664,30.785488862458447,30.34580880017985,33.33657249789344,35.7047619827952,37.68205974971766,42.47636904770406,42.05446495339097,42.930230460610495,48.1018491332042,49.45342598969607,52.62449451465944,52.162968073791866,52.73799282586738,54.98309236853605,52.75646751354093,57.64384613020452,57.10243981734803,51.932822711236525,54.58725077927858,58.96526846218621,55.70492156484046,53.905534614374616,57.633659268287985,58.75085082738689,54.81786414545101,54.66307554723284,50.00929440168244,51.10144986329831,52.934495341545016,49.635464952054406,50.65240240530661,50.17102433734249,47.91800520037562,46.29977486189023,45.69172678557619,43.99494283627073,40.83130474154312,40.494932170195284,39.191287812937084,36.137097817606914,35.525318953529215,38.599652686734586,36.06740545395464,31.944583398057976,35.39815138485928,38.48568560929297,40.13952533258048,43.41385308509083,44.153956521686844,48.370209314389164,46.20520480984705,42.82790168346847,47.404432356128446,48.949447652546276,46.144069073136606,46.95588616245417,52.314196440159236,51.098516071403516,47.471282638199284,50.97673371714909,54.83780679241446,52.78102383368748,49.90570299640063,45.55621248292381,49.56239108437122,45.918040273391824,44.02216957691337,39.85475477585365,38.776630250747544,34.24820306754077,36.183463912495355,38.73432998168791,42.54999492130121,43.15114700992884,43.02411406540426,40.01969278409562,43.0043388811844,40.17584659319208,35.689888647495984,36.5569092049534,35.91610345573311,33.73348988986994,32.75809633602118,30.846504613764882,27.773826082745625,28.46514149540904,27.831421216056928,25.78629425342794,22.390457027258158,21.144453118464618,21.023556846051733,21.477779458376837],[24.83742855805275,27.21479686860137,30.774162404833575,30.284185826965402,33.911160576271456,28.293110487383167,30.4565235911266,29.46872637902414,27.81444614200717,31.827156890013523,31.194609200224093,30.21775114967605,35.30392332787245,34.73901068320752,36.501828101897715,38.342533830924936,40.78364924589766,44.52590105768944,48.86587226397214,50.87090277873631,54.56846297888868,58.31653514310644,60.02086409250537,60.71431885482263,57.777047982132814,53.636335917982876,51.270722193619214,47.02898164912601,45.217758882700956,42.45187661878912,42.687382707163216,40.869823063593934,41.48294590944995,46.12502226022395,46.31760602068205,47.301190040308526,45.913859505561454,50.0010654256931,51.33947994964811,56.694225020005135,56.10418805602256,55.801882174258985,59.43074177092068,60.60715858300408,63.736069804245155,64.66935364925456,68.1840909109443,65.11697670963714,62.54540287729847,67.45011526797954,67.1084630810339,66.56663850480831,66.05068217301347,61.02074997461861,62.64547832676544,66.6268570663552,64.18460439325334,61.08504283499728,65.13539083421816,67.54507934265189,63.31809191205636,62.329345409222256,58.727839458529054,61.78646478549386,61.22229682614906,56.96057184336574,54.384646187435834,50.04752294336285,48.655202372105975,44.42247385140939,45.046422790216496,46.09004303500001,46.368418470837376,50.98272431354058,48.74225304762032,53.56364697411958,54.093043987643334,54.455720259478646,54.90540201505806,57.69736436476686,54.90057210850477,56.44279190057076,53.05637012120692,54.988981392494196,54.008069070944856,51.206202659741734,53.08326921093037,50.78761808857981,51.57827433912967,50.83769494142609,49.06634948007529,50.17054366939961,46.10358311278834,42.78863554714919,39.529388813536364,37.64179476795815,35.094785854070516,36.22170923955794,33.70411719806902,31.506353859682868,37.560580260383816,36.58082434750801,41.51619805299391,40.24039639179047,45.700996841869895,42.13861265658709,43.607092673238114,45.23568661363109,41.55845632855183,39.19445061049222,36.28715321821078,38.43983967642413,35.010694304104426,38.56594240114373,38.09487445803231,40.90023730509698,43.229920014165344,46.09546898464325,48.41239227573768,44.384801259202945,42.59968557029155,39.38248801913739,40.393746832095815,37.99553991364763,35.01381850483553,38.64214398313388,34.78237410575899,39.01368202921953,40.862094620202114,44.38702622589272,45.6885925896637,48.334884020102706,51.15260756890006,49.8601822934915,49.00964590587413,45.689920546260346,45.95126449712519,44.92820014881883,44.56225507398743,46.27870187584364,49.52840411304237,53.288848386899026,50.596319777461616,48.07901241735602,49.91884669678665,46.23229568869608,44.06269761690588,40.77416945217215,39.22462420773857,34.779923350630504,33.537887501514334,29.368570328412567,29.874145311514475,24.61157478496749,27.25253752288572,31.357811887604672,33.24866144063465,35.19655615147289,38.13332970927001,40.01342885536696,43.77966066968838,46.00532781760442,47.68128050620854,50.9501647395322,53.7099727926699,53.27422020502604,54.85402443055245,57.949937171972586,55.16155064496633,52.13250889924733,50.97757116711555,48.735541400669305,50.196349462168186,49.200749174660444,48.34527482558587,46.79460456449334,44.63523517027455,48.209138838151745,50.78577401137367,51.00435053035784,52.47689526632483,47.67179905594093,53.06586345225131,56.43191652984701,54.85703533722066,57.716292372615904,56.7970024681599,61.968297887796666,61.78816613726613,62.74782292850111,63.00295632950461,59.52967516440171,58.88630429686242,56.20523757543518,55.46710693927517,54.97762009610927,50.8968056565372,49.69998255113007,46.298339906492494,43.18535450246118,44.02534837190626,40.65835263657501,38.69258573931652,39.975918443313866,39.5602978245586,35.11986694302084,35.10277550340367,36.78430386051764,34.66183500219904,30.5680869934986,31.884574990280505,31.877390556325604,27.727996982427488,27.493350999088147,30.230769075424107,32.79291343565449,34.40800196609726,39.55292225855596,39.065950545350724,39.7124549929971,44.85778161080506,46.05086286160617,49.279372476632346,48.84144704608037,49.58041435375201,51.88354643016778,49.84631423913616,54.74180355232356,54.10971064233853,49.11962437611941,51.883176469288955,56.21935998373126,52.989643794237374,51.359162352963246,55.184096784118154,56.2265270476597,52.346521273674824,52.48375954850675,47.63806186340543,48.839831378848196,50.4803956221934,46.9913279370279,48.100279847938545,47.40146616033431,45.434335395867755,43.85804120894716,42.87997313519443,41.24431328761777,38.2885810839691,37.70070411299623,36.20905107862083,33.21510717343854,32.580819330284605,35.39069779302461,32.77852478159316,28.722375571091472,32.069289849310664,35.03506303152383,36.81005950090925,40.13653198612867,41.088576107223,45.229870403410004,42.92633058584437,39.78766013798384,44.44135224995631,45.8562219124865,43.09846501445206,44.17526801271657,49.379089363375,48.12817288069597,44.7318042433473,48.350028065847695,52.044475605197356,50.004291976342415,47.28828210772513,43.06298864999885,47.04958953053827,43.543129320680464,41.34528535062365,37.41585345513701,36.21967579123747,31.819953318026087,34.01286642385586,36.5993222761356,40.418329921602584,41.10281862335523,40.73029059204014,38.02133868011753,41.01994934133706,38.517223267760194,33.567790585925,34.469043898953416,33.536442029805826,31.704145276440308,30.816774581340876,28.41907367861658,25.5278951374756,26.82053554987054,25.68504065282363,23.25768909201575,20.156523534299076,19.26072247602368,19.199701280739305,19.793892826345697],[22.206647199702072,24.463657418688513,28.04673445708406,27.060933712666895,31.066777108185082,25.471298785165143,27.664143485912525,27.16304312368393,25.195408951049757,29.065955270249848,28.631662696099973,28.17065597127436,32.938428081499616,31.976165446329677,34.15839427838527,36.16923231021268,38.23617471805298,42.055616448031195,46.142509317662885,48.38509582379925,51.98718005356342,55.83789073350553,57.368838040482935,57.87152519180069,55.03662007872049,50.81069056889671,48.5742366836884,44.3210521249512,42.80711385787262,40.33806840971631,40.71707323952155,39.20902038324645,40.15290184183189,44.739996144487534,44.72123523724397,45.34046484638143,44.124858831300294,47.805706597166015,48.9988187016458,54.54060899116789,53.56925685802629,53.33402146388999,57.12677625706039,58.22819860823379,61.20268418691938,62.06392543829076,65.67946085077665,62.7781153550662,60.14299472850259,65.13306513990423,65.00728537963393,64.62532712096395,64.2022847203036,59.10762814151921,60.981594941989805,64.82696234445292,62.14923026088123,59.219736217786135,63.397771647554265,65.53664708223002,61.19019109963457,60.37349476847703,56.872522883871014,59.68135978790394,58.98351852979488,54.78424625329933,51.97035633052705,47.73711262247225,46.03340091504646,41.905409660356085,42.29483280760637,43.35341273445454,43.94725845923864,48.564420107733454,46.61217933502234,51.72144521925947,52.18473742191344,52.88721140016079,53.259399714289145,55.96408518831649,53.30911737053271,54.679328617180104,51.531050597809255,53.28818248859655,52.003002281875126,49.3020214464611,51.093964291239324,49.16519257661249,49.678960108946406,49.3617874713346,47.349921125870495,48.569848273462576,44.48603701872426,41.30639685367761,37.76358425049443,35.95737659198697,33.080562382774644,34.70955788535554,32.18138319866027,30.579499056591644,36.314485215671056,35.51526033818418,40.155543524394105,38.90152370388492,44.2805570012983,40.49110981528696,42.196041275034304,43.54039412888382,39.7032598870634,37.51431071127499,34.257365191341094,36.184586917587836,32.527050262189285,35.83461975861715,35.27918530078813,37.85488990385153,40.27953430560201,42.91323587888468,45.353681919683275,41.52812043437779,39.518821158189965,36.304957729370116,37.06115115352738,34.759270078755115,31.88201593466735,35.65103837166856,32.122102754179956,36.450817842207854,38.526801358287365,42.30976721381502,43.367745341644536,46.31499986768108,48.92287449428609,47.892154618527634,46.60131372268764,43.138035185333834,43.170469728031094,41.94814815890238,41.370135347312804,43.238916326476506,46.228727340660896,50.11126587326316,47.5662840971186,45.12890783412995,47.201550378774265,43.67636506408194,41.38201524327913,38.33575404899415,36.97151474479672,32.52316721940153,31.700470020078587,27.642889695035798,28.841080600237923,23.855730478093367,26.316331334058074,30.24723720642446,31.65150627143923,33.67168120415713,36.3384185837219,38.15981316143752,41.506035556070785,43.756104836035476,45.03859198640304,48.52718212784322,51.079519003531885,50.34704229828056,52.13007604549422,55.06184143827717,52.27181223150842,49.140093031562515,48.18659797107824,45.94194839745631,47.72068661732304,46.96637751915417,46.30733747361679,45.07911043173806,42.86348171374232,46.794294501717886,49.01628351749525,49.368799776273576,50.436314585238776,45.77288644699547,51.12705348239376,54.39222748418851,52.61999675927126,55.46022245310877,54.45999031200366,59.59758693536166,59.102270266708445,60.23024577990322,60.449099661489974,57.07680891548461,56.414034970871114,53.76035649730502,53.12609027188782,52.66185985139609,48.444305526897004,47.51506659521302,44.10528702540284,41.18500631946297,42.303588743865404,39.15545020642281,36.84047907637971,38.02669188715119,38.05492004930006,33.52882916939209,32.908623309426076,35.02523060689602,33.50101331647658,28.846181397650305,30.073839688898858,30.560583560665663,26.439537912416014,25.582971198087744,28.619455236380322,30.861336674695696,33.13217964251703,37.594271224108475,37.34720011878872,38.409757877210325,43.631193913720395,45.12081312577232,48.28398340789287,48.06082081192524,48.60283489752244,51.00177910190424,48.865837978056774,53.677743962998115,52.915277681344,47.68653531960862,50.489550989381016,54.69031115042228,51.255306477543876,49.54503807857638,53.35977135823697,54.19940214937881,50.19034879652619,50.24663388168831,45.58672583284564,47.066150937505455,48.94842669758899,45.75360128465339,47.07429812317571,46.80859485202052,44.65900672443315,42.76743456833827,42.134087668305504,40.82449701412547,37.467445860708786,36.7923295351484,35.826002732007424,32.86998962236671,31.782607969492027,34.97426322767578,32.73179393171099,28.34598626921143,31.4953410230365,34.75895041583616,36.139582659039014,39.56447170096924,40.30049506224261,44.44586824072464,42.114145080344294,38.54276428293672,43.19643429093027,44.57816684695783,41.64207420021933,42.4321979857786,47.81533582566769,46.41032516271114,42.69712447587596,46.2935873712919,50.10257326024418,47.90842818405547,44.9880121785748,40.59313463436161,44.51832849082732,40.822093808377595,38.98703002043219,34.78662647831747,33.853608928639545,29.3379501569768,31.123281541589524,33.75206629908988,37.54269233640053,38.27261022475205,38.28738877192835,35.496364439229254,38.698171642162116,36.01496148479688,31.4835756205973,32.75503130397108,32.22946383150682,30.412097833535586,28.914085300990195,26.864384273075764,24.207052748749398,24.716959885248528,23.42827981254252,21.62471745890155,18.59197177436156,17.49209370065041,17.855317733128107,18.74024538979519],[20.627766027467526,22.41079172905356,25.345073967383705,24.19595600311301,27.683400655662975,21.814531500982255,23.66950855679266,22.89303088476939,20.85895511892236,24.76806622709266,24.27595553688404,23.67257872854982,28.49531693121981,27.723889010326268,29.821444809958244,31.734311472568802,33.87975212113619,37.72366225754079,41.93242097024139,44.036332914596606,47.70735064670438,51.491611383313774,53.11604274020344,53.68836448365613,50.77200556659587,46.5965899058542,44.27116022867103,40.0192762530579,38.3984605473047,35.849750488042176,36.331218388043645,34.706333043514626,35.729770493318256,40.345372572599395,40.237482152142924,40.86814232029792,39.598180387682646,43.332614812570846,44.564801644607876,50.07587909784687,49.20772230926012,48.94353810374558,52.68749620615953,53.813791441639246,56.84971854143283,57.764351644352296,61.3378176878251,58.36356844557735,55.771725619288475,60.766048050315014,60.560267933363015,60.16842308195331,59.70505037718737,54.61995562708998,56.45722917170641,60.309649474189015,57.65716927532701,54.70792861208807,58.887351686412345,61.0533728114838,56.74242718811944,55.95257214775243,52.464972872572815,55.357262134215894,54.6176017292362,50.37963362509127,47.7074323059406,43.436953528999304,41.89715331931489,37.7726623666223,38.30130555914138,39.540821560756044,39.94162671385415,44.49311561102474,42.38116667657264,47.51077596011172,47.82244289278268,48.528942472550725,48.81181639830374,51.47315792772982,48.783224788007495,50.15056086733231,47.011457101594345,48.80333735034202,47.540919029359145,44.79141642234121,46.587233987293025,44.636619807021205,45.20654569934947,44.934158697221555,42.98674690932374,44.3488583339926,40.2642379526888,37.03884489616841,33.42665926815794,31.768568239489646,28.824132622013874,30.292752278150736,27.691299631428933,26.155883334162727,31.811857713782448,31.087401075978764,35.65756798254483,34.53040800834033,39.97977341353713,36.298780541828265,38.20762142535371,39.655056955094565,35.939231472743195,33.54386690810767,30.331625455312334,32.03642867717517,28.324129144327273,31.676494398071352,31.037518428410092,33.76139428973707,36.10444355748851,38.906751504851925,41.29543792746926,37.34871367723222,35.480689331987,32.23238867159571,33.18582974829988,30.81606067355667,27.914621563853682,31.732234701769517,28.246340236950076,32.529995369401156,34.67081918595631,38.30570955256095,39.66577065515708,42.60042807445383,45.09333426177402,43.87170330727736,42.66287396208084,39.14004749907545,39.50177136169268,38.13349840177218,37.577468521388454,39.24437739685834,42.38330009653002,46.13084122149114,43.45386263765727,40.981821598950404,42.92118916782811,39.31404087996901,37.086616262846135,33.94884570885249,32.59552510808044,28.13445627673013,27.371979582343723,23.20610929446999,24.5369796465951,19.6137813320491,21.91185599198927,25.794777707712512,27.130910183450055,29.231937498122615,31.83008203653457,33.78840456804113,37.19144819245578,39.33059934918524,40.78879035734709,44.17920649324548,46.8936864778556,46.36154151756813,48.153956065875796,51.218632451012944,48.56330774260595,45.38129505345623,44.33358875661762,41.94825866245042,43.54008641631394,42.67158181719574,41.907488365323566,40.649335757485225,38.361056374434206,42.31130527651602,44.54882631015858,44.95722650627295,46.10193444963576,41.514429942444195,46.95213064386967,50.25143927591144,48.45927757315306,51.164282625812874,50.098130431026625,55.27647980303498,54.90257993266818,56.04558004733366,56.370059366651056,52.974632133305214,52.47227815724729,49.9107163796581,49.380807257266554,49.11449824529121,44.96349549136539,44.10665415374272,40.909596033705334,37.78801879488796,39.24013008991824,35.94675641129797,33.53611303303137,35.16023489626442,35.33263499552942,30.653314215217943,30.277024671868194,32.70598927696524,31.159535321138318,26.478611277813627,28.13128949223746,28.88832362353057,24.53835980888979,23.962934123526075,27.50260021896954,29.484671963186894,32.05793905430348,36.27376260744161,35.673881641646,36.949649235569105,42.08649091775226,43.95812318445988,46.81150379496617,46.26259816504433,46.4695305568455,48.65293480636018,46.17909270417111,50.994600879934644,50.503481767325326,45.06628871334163,47.62043074668035,51.98000182603195,48.671347169870316,46.69209067732399,50.33429747226119,51.50493212939894,47.550869888861406,47.14240254415576,42.63858731493109,43.73576243510089,45.75482927900088,42.722384969858524,43.84072210470076,43.807770206560626,41.313253917450275,39.422115235815575,39.23748624327539,37.81885635939485,34.2254311411922,33.933854928605165,33.19998159281107,30.16992652960312,29.202833668228802,32.80435609514767,30.71193726836426,26.29086788292436,29.748163382495065,33.19331479616317,34.38934459306743,37.57214110088085,37.88747307490349,42.172890680828885,40.2467407566452,36.36771951765672,40.791344030519674,42.543696734881784,39.69434740262705,40.05545559207375,45.618126663902515,44.57954534846896,40.64218987745491,43.911711116345074,48.02066131955242,46.11959988570465,43.074405952758376,38.67760917609376,42.92421942558679,39.35022203239247,37.73741710277079,33.27381694261783,31.958036574902597,27.301041760112174,29.344652350554757,31.642024104422006,35.48937913910135,35.82722229572306,35.704161448309996,32.444619345728476,35.39933762431131,32.46210910107431,28.207971491106886,29.209779617474823,28.90119260267495,26.697590303248514,25.301629158966072,23.750872543620375,20.780240116039547,20.90067303523188,20.410242924285033,18.81829283821785,15.30851370064871,13.859956401412342,14.13742201845734,15.019728786943965],[18.75404347977856,20.330183896804208,23.27243780330457,21.454860197480944,25.471604082770256,19.746238703768995,21.646285066718324,21.615019694848105,19.18243954517206,22.81985029335479,22.638798276406483,22.788384344448392,27.070399947734753,25.746916980514733,28.41373332217548,30.531813616310927,32.14844502105352,36.06594930097582,39.91096304826194,42.318382590229966,45.84802892435809,49.74942294832312,51.146364769590626,51.47044744654185,48.69433704171693,44.42082427386479,42.27310974498592,38.02466033355756,36.81279427073748,34.67617889748843,35.33851168220823,34.12887808649581,35.54416098857033,40.03249431569293,39.67358377159005,39.84513279982912,38.79993463985658,41.989006517987214,43.02269445684231,48.73527881947968,47.390929115737606,47.223118650796046,51.157755064657536,52.177706340714906,55.00900640824882,55.8203982805363,59.515654396686784,56.76125719373073,54.08674189739236,59.16586026708548,59.23260748776148,59.029496082925014,58.68648890171447,53.54712095934453,55.68338051307726,59.354983631875186,56.43241142427599,53.70887554662618,58.02112045166871,59.85204344628016,55.41466607575423,54.83757161652603,51.489565815094984,54.05906677505321,53.16231229141745,49.02233456442897,46.05960981443739,41.946973349263494,40.00751333887004,36.045070441972875,36.25361512521943,37.495905608471034,38.315432023401556,42.84570514628603,41.12187705529793,46.56656719561047,46.808268706423334,47.91931004697334,48.11310685440928,50.652869141724175,48.15008485351928,49.29629767677249,46.457611239326,48.01736080743304,46.39133188910899,43.79589632816248,45.48235562436662,43.9974608062561,44.22602463327544,44.46827265871277,42.243824602479386,43.722987687174545,39.657985593589224,36.63915750634677,32.72769523281241,31.18805439269027,27.871122811790286,29.971932825619483,27.412963735747315,26.656578034215578,31.791385302216735,31.28051604519215,35.42113302881326,34.30888582044545,39.56951319321232,35.63676969320802,37.77589984282239,38.844271135854775,34.9573359142805,32.84379254055727,29.23098562733027,30.650280813125534,26.69174084661358,29.66821524154901,28.938927994535707,31.318094019392458,33.79372902058113,36.26012260737577,38.82132170288004,35.16858444765902,32.99474885735604,29.764878679497205,30.337256247691396,28.10727258775518,25.362450438704407,29.342580426128357,26.33102931458935,30.70415303864079,33.10996329963331,37.05616679303831,38.05620261269028,41.34001720959712,43.57516919994008,42.71111796116555,40.95680455432934,37.284421874298374,37.30910325591116,35.711115149531715,34.88012003506552,36.768080443235924,39.550016511605406,43.46701977753276,41.0025891195698,38.64097314021645,40.888423958014116,37.51874866940688,35.13158969138656,32.34591611842677,31.242436720930197,26.83952353722875,26.637479190189627,22.74659166142788,24.920211051991778,20.55225577605403,22.54148578028567,26.07073941728158,26.757561430215947,28.885429583738365,31.106570204550362,32.932310070332534,35.754609233251486,37.929484196200015,38.850627593781525,42.51525292647107,44.93195561100542,44.00375861557633,46.03694567101392,48.87147538880698,46.20279151620563,42.91041470205369,42.1306752519285,39.77267707778541,41.782788528005945,41.23832846702361,40.7422431245802,39.8982239446611,37.58099687497295,41.923946881524046,43.70587746385384,44.260748474807,44.89039987499879,40.49732740343117,45.82996429714835,48.9812868323234,46.96391881968441,49.65743140268269,48.51263211787903,53.62403285153812,52.848896712179986,54.18676711193071,54.44886534983146,51.18818275989428,50.638543405397236,48.10795489222774,47.691814805358916,47.42935243574567,43.12130554177798,42.58899416032291,39.380169685454646,36.55325618030291,38.282906962132145,35.31713973531548,32.52784333667524,33.95213487041359,34.641587860357035,29.962040170077127,28.811091042845707,31.700893801051112,30.903193518600435,25.663088805210254,27.115839647292074,28.415355064559556,24.26002890036314,22.915368989485298,26.65692249267495,28.231799224731276,31.484686978625188,34.85749259652601,34.59014665514325,36.30195137663497,41.46425011466196,43.59698317064755,46.38978921390358,46.13277707862228,46.16847386723358,48.46908106719064,45.96073150571445,50.63646000249418,49.9609184432962,44.32627609413421,46.9395126006602,51.08502296267592,47.54365128496704,45.52388248093345,49.15221150293997,50.03151197371194,45.94301183142809,45.50117532499776,41.23495526077223,42.70717231094461,44.9774449549964,42.29531119477046,43.67797471440412,44.104315975455975,41.48958540104682,39.25684087197048,39.4032927009112,38.39582685415426,34.44155992143592,33.99301909610619,33.84029829913789,30.93431195885328,29.45197243237842,33.34107323753843,31.680841850829992,27.026045601490946,30.11509598501145,33.78090374582797,34.54484762311366,37.81731709893356,37.948452561865025,42.15737775706645,40.163127601917054,35.891947943530994,40.2849653189111,41.9253832044825,38.89396607579716,38.97103165238015,44.66093847271556,43.40666967396827,39.16579331685278,42.417701181543094,46.58966540383069,44.4874366649236,41.24269126008609,36.68213800451153,40.782864152473564,36.99574380738134,35.81809735536159,31.107604728259563,30.174448418271588,25.46801514054424,26.923607859765774,29.27046700313551,33.03442123822251,33.462094684122135,33.844173115589484,30.566707700459887,33.776947446231596,30.670532715456854,26.992026008017223,28.482186258858736,28.65997079889229,26.588259048349293,24.42901386350244,23.31646797800459,20.803578002670267,19.910834825000002,19.152501255119386,18.467956088452258,15.32596720647838,13.734538081027784,14.63233093084393,15.854615497437804],[18.197660554886028,19.0776848177138,21.175194088266522,18.813721445887644,22.415772643833918,16.507091277115705,17.906141587771298,17.96580820325811,15.124612557769877,18.572668017928788,18.451022394895052,18.90090697379599,22.927744431806627,21.47411035750473,24.31999149786549,26.459201418539713,27.90201641819155,31.851598143251337,35.64372695862665,38.069555389561785,41.58890716498123,45.490847251942775,46.868790401702135,47.16713460294233,44.38795374102746,40.11162712227054,37.977909789739485,33.7318577719705,32.59167890368,30.587297915748692,31.374243752065755,30.30242088413809,31.950817829898405,36.36461360722099,35.8331142239214,35.80140043523398,34.85085516619003,37.83349137117001,38.838047081571816,44.62718353100829,43.1632909105206,42.965356268944056,46.93685302893546,47.95973937179065,50.75994100927307,51.605791453015875,55.30258165703205,52.562476315884766,49.927566742836234,55.05572361071079,55.143023624769334,55.02699074544526,54.67472269300083,49.53220784233221,51.737332611971894,55.31779914404648,52.30158875480548,49.64586600819752,53.99892598509711,55.712809188822106,51.2426581637788,50.754850315804816,47.47519720968554,49.96712731278901,48.98599033738667,44.86443117414399,41.88600279550408,37.81171092584856,35.84121342014218,31.952063196820603,32.14771210589075,33.5498840039392,34.369367408751216,38.82552584894058,37.136998174856174,42.71961007597667,42.81619436495624,44.10376786963563,44.20021898287229,46.66211960471918,44.24253001060503,45.31734997430752,42.65390654000078,44.16585514162477,42.3975231909865,39.79829893673559,41.396227782657576,40.10094539555149,40.188811528073245,40.685165232245,38.383967671731114,40.01857663184818,35.98099750673238,33.042464849944416,28.95579040138545,27.611562479517676,24.074410415827177,26.359378728326636,23.80968670306837,23.591362430266145,28.303621710019737,28.05971567803065,31.855300927203466,30.956130885364253,36.181755009616246,32.29949669587448,34.77678297991447,35.78273125921432,31.98878143780232,29.78822508236605,26.06787162604738,27.0274764263451,22.86690389345803,25.65312854776894,24.707141382234752,27.075737105958986,29.49093073164156,31.984175186851928,34.52194321799752,30.871087692380794,28.699335733902988,25.45438930630242,26.096589986135726,23.894597150233082,21.248588847453107,25.425552513668954,22.795681528792567,27.130368245908848,29.75142385928437,33.651283997976215,34.826305775043295,38.24637287774872,40.21319522709093,39.30080813839273,37.38093935162544,33.56584638502844,33.81485592520353,31.904969410224933,30.92736318291161,32.67584897314648,35.41713114079335,39.251817026884844,36.72577481767885,34.40130085766397,36.65028010642443,33.298134715175756,30.922727969472593,28.2252465344736,27.307593126817014,22.940000722243536,23.16744700258842,19.329852133140047,22.096014763086448,18.220720283121416,19.710367484840347,22.93075536167072,23.167353003558866,25.429950357884167,27.314810335702298,29.277086774675006,31.84914376270546,33.86634281918854,34.734289451372526,38.41593586326611,40.89208251188496,39.99992963251825,42.18363008469618,45.052567796960005,42.54344513179821,39.133202953390665,38.389449727940196,35.87172422824427,37.86999456652302,37.34924577301702,36.848727294258225,36.17442415893266,33.73634156426568,38.277891799256274,39.8660657651307,40.571277409902,41.05423449495725,36.87290161006014,42.23947525076853,45.352178575147946,43.20494395911085,45.71405205814655,44.4361143542825,49.565869940042305,48.73549015605712,50.19962805706635,50.56069366799567,47.34577668281154,46.9670736557633,44.56598119967547,44.327053064712985,44.28967251414281,40.0025782626184,39.70926607065016,36.75148139161862,33.86754556680496,36.067736394870764,33.12776659762982,30.099223631582202,31.8872402911211,32.945478605919405,28.19032962749272,26.966391336396093,30.33207124410329,29.84157294841078,24.476807769406133,26.228982779665024,27.97387388157737,23.81394893382028,22.476309402208013,26.636619975655627,27.76218717249326,31.473731139089058,34.22769573625277,33.76701763723636,35.81820050945367,40.83356465454371,43.38298421789713,45.84180723657565,45.3970079486912,45.058296100818716,47.17734231280686,44.3547991687822,48.93878624092621,48.46071136971921,42.59392017369987,44.959206501134915,49.14523212977843,45.65914656794305,43.36755433272269,46.79008800844421,47.87423906971715,43.8109453745192,42.87497344874574,38.91310942730388,40.13515497068402,42.64188171189007,40.29736499354828,41.56534246413592,42.402889749498435,39.41827434407902,37.0729227223012,37.81145968286899,36.865125232930794,32.58849876197272,32.48032024486381,32.78636568690872,29.917828926826175,28.39110235996905,32.69453062800703,31.363523458676212,26.72262847874877,29.873036850161665,33.6955459544311,34.12512263421585,37.14865472709406,36.81124112995263,41.067823162726036,39.45545678785799,34.808385268420366,38.902117549391406,40.83501849634942,37.85415870757519,37.39613409447684,43.250441216992876,42.272689744551144,37.741035790689416,40.62486958255738,45.079716368453965,43.1950085290484,39.779952206015864,35.2026087674246,39.500348803716676,35.78808855327579,35.031871180469885,30.045352683204246,28.921698117812696,24.16573850167739,25.56779965627925,27.53579328579408,31.253167364867508,31.302302296447312,31.778250107268967,28.021712949257868,31.04116874394106,27.58093503971592,24.588213143187136,25.98004616704385,26.629930060893823,24.22426093967548,21.858193361854198,21.58362961336943,19.035427295882204,17.140754125144674,17.279395085254944,17.345836587165852,14.085422525057158,12.123446318440278,13.178381803582935,14.442505738736626],[21.994209503765887,22.56696270568704,24.216165416759146,21.129688519237305,24.559217922721487,18.725300005615413,19.278340338552248,19.41616084979772,15.62499111566265,18.092598297413616,17.366625790615164,18.36744353175582,22.276188699998794,20.049570703544163,22.641499216883133,25.215936994596902,26.651584096462546,30.20316876303398,33.73512239759953,36.53297375773864,39.77837612788298,43.903198326542835,45.03207223386957,45.4010120648823,42.917054263962434,38.523748222732316,36.78990622487029,32.60498087053931,31.465710328529536,29.78104401448521,29.729389902935498,29.473905813893282,30.882219049988446,35.00978568687582,34.79208068970218,34.59957235659975,34.25884233148877,37.01331419756528,38.223284336636226,44.26852578242137,42.510112058567735,41.837530479279934,45.885285495373225,47.149246635691185,49.838465688116244,50.93053440430828,54.55422211112481,51.80738252025324,49.49569294788141,54.76905919455666,54.76885481567436,54.89344975186404,54.34390642424531,49.24106805088431,51.30850443589273,54.652284871561015,51.45845958961358,48.72302030614478,52.99156556588794,54.600298569800636,49.88286534613906,49.13186737578934,45.80216477142044,47.95826972736763,47.21334791996455,43.26306142926013,39.80730111392903,35.82674099865841,33.491787374656994,29.527451329927622,29.49352844162865,30.47489647490806,31.573693900175137,36.17338878595722,34.87396448220501,40.422454031257814,40.97760493308556,42.36956764755617,42.80941795308523,45.49747508051092,43.52058170591057,44.873727645746435,42.64584552973338,44.353518741207154,42.41590759598614,39.54864604695389,40.62462840572961,39.46798286655483,38.93330123510587,39.34094250625666,36.639975593947575,37.87808526514857,33.87425521113116,31.202929618944406,27.219416015022095,25.49585094898682,22.054581319464674,25.21299107475196,23.21163395883074,23.837888588563217,28.249667832049884,28.97652591176681,32.281270566387626,32.159853659706705,37.47511216245238,33.90122279963905,36.8617352505731,37.881374755217315,34.28244819185376,31.92815148963372,28.187409247992026,28.377887318296423,23.890179113928657,26.127255844301185,24.333365438796477,26.50822451890025,28.442003502200183,30.82798726349175,32.7307449195792,29.146345394390245,26.887021843341255,23.940384509513166,24.954986191174253,23.31167676115184,21.3279529873557,26.04261772660466,24.39268594673007,28.576097305781083,31.530821348473772,35.299077284404326,36.71201380792652,40.314632027028686,41.86321488337455,40.872713685487405,38.68826428449754,34.63205269804858,35.158661686941684,32.61445493598848,31.12242551482219,32.61888989228402,34.81489230895046,38.426652621888636,35.754892881526075,33.78886399067036,36.07046665589864,32.73845982998918,30.552887479492647,28.137628896819265,27.819262569686238,23.582675136077494,24.603992721724005,20.63691110735545,23.86140595833984,20.145128786967366,20.66211633309909,23.822253259089457,23.634873491031065,26.470656754281716,27.6267986160209,30.271670145605345,32.45385520149152,33.846550585228805,34.73423602470569,38.384606822280816,41.08734156629881,40.17936263457484,42.80789256980461,45.62029651298985,43.42889229423507,39.77202902727446,39.24937019204489,36.43617339140934,38.45692941453338,37.94953646101677,37.29731023360037,36.82760741572993,33.9311347361008,38.70782330963537,40.19036816654709,41.2724909122303,41.68930851148465,37.99085968275108,43.43398460167159,46.48022159509997,44.09972919674981,46.119947520242526,44.42355359746813,49.610663356249965,48.61488894463203,50.48861251304421,51.092637144158225,48.02449598936741,47.99407958041458,45.84549442320386,45.90891724333006,46.178361983461244,41.911372160209176,41.986064501159845,39.31134924588508,36.46228428612419,39.10735037189808,36.233458403975725,33.014486527058686,35.04808904825065,36.428520043620985,31.675388964894776,30.274228769579945,33.976425139341984,33.75011402511738,28.325967605010575,30.124159302068033,32.11387664661093,28.0227175531874,26.54259328183234,30.78033842037425,31.66464351539711,35.654698866521656,37.94321887123253,37.57221020387046,39.84206070615982,44.78472452640165,47.50174827900658,49.84284791582223,49.375671730234075,48.842302839086194,50.857887158432334,47.83957978287468,52.33610720472531,51.97895987062672,45.96986379307799,48.14659487048488,52.31244879405162,48.837593818523196,46.35658877986829,49.58120889125776,50.74356483480525,46.679955057089984,45.34202946807734,41.75200056087147,42.80304229897091,45.533949682970075,43.5055442161664,44.63756930864394,45.75770024353466,42.46276030435064,40.1007404361445,41.30480766574145,40.31206089765148,35.87465026855764,36.08189056234867,36.59957617847759,33.73326812530644,32.29229910815801,36.763513956060066,35.52539613526844,30.941374722309444,34.13406852784151,37.98943793175136,38.30105792048119,41.208459426542206,40.633169926827954,44.896679637629965,43.47673850689549,38.64642296787554,42.54962618627815,44.60578227959676,41.62791573386385,40.83934189154222,46.77037846596234,45.8610636923787,41.12298154205156,43.7812125818314,48.377276335082236,46.511766310922745,42.952326103393645,38.32353491830928,42.546748163365685,38.74331899501212,38.41757824999645,33.27056560331007,32.341207701748104,27.631856634100682,28.608872770062685,30.424496552342543,33.987697913669045,33.89860761009814,34.71653921777149,30.666356536828438,33.54790889591185,29.718908317519464,27.594681133396918,28.876763063433856,29.908485287444016,27.144788212437284,24.766622587458073,25.187874168176887,22.56588483541926,19.958196957665233,20.84489899908181,21.36995047439672,18.049305234049633,15.858033652615578,16.64448528495862,17.472480327584705],[24.212530554605983,24.36463790774929,25.524953635067636,21.71539892657699,25.070884439788703,19.678379958141186,19.610805110483664,20.279514473898512,15.918043963518715,17.254897634539727,16.436392476048624,18.3692767653518,21.47891014349811,18.38477018101931,21.173573250419057,24.07922426311016,25.01969936337237,28.269864611141745,31.276022780939552,34.491196158108764,37.413205028142144,41.709878661958996,42.51188460659149,42.74613582463514,40.56718641649053,36.08242182291332,34.75730787274692,30.69239658292513,29.888673642469186,28.770930839032342,28.35552416017035,28.925990399026308,30.457216102524495,34.2030602716777,33.97118332019629,33.333576307613235,33.53656359379902,35.686526090397074,36.85974689780764,43.11248338017726,40.86616630025149,39.968187867050155,44.147558258364384,45.47455477207088,47.927546367654514,49.09853071667895,52.724543594699384,50.14280004740279,48.005474251367595,53.3742698453056,53.498052102436624,53.89616764804936,53.31228412797218,48.250722457935645,50.41664275554449,53.459291795723416,50.00280240784911,47.40774733221673,51.67549328158246,52.96877748433901,48.061480301618815,47.319668091631556,44.10446162270456,45.80336408498698,45.08464311965514,41.35369923453228,37.44120317236863,33.70071850260143,30.86762282254609,27.070828103795726,26.62663886613262,27.34380195463627,28.94097479570325,33.52565616136842,32.790203174602944,38.478160506374444,39.22381212766793,40.96732630079437,41.52347687783533,44.210619838107,42.65737807781151,43.99616380480064,42.27707233576018,43.91341983265464,41.65295229797305,38.77634020351288,39.4362548740786,38.725199878290454,37.57784485667294,38.32144900146014,35.23406884110043,36.323165990141256,32.4433148751159,30.16669307287253,26.128905157543166,24.368493814473922,20.821151272971196,24.869332961916957,23.323528496437437,24.970380380890646,28.620444168273192,30.016908230673835,32.62880281412241,32.980006009323844,38.090426616512126,34.63274776417115,37.97089053284922,38.751797337827,35.26176313208051,33.03126480412557,29.156079924190486,28.654065705112227,23.96985550397432,25.48163449456664,23.10068344219523,24.809632255395904,26.44497217000202,28.46265427476607,30.022101501024185,26.772928462878394,24.267001991281784,21.627743071390423,22.595707805235552,21.52474986041465,20.238224051601954,25.255818050749937,24.669736131792522,28.640616869827706,31.895008666838518,35.663428047590024,37.00169388796145,40.86032652020478,41.94760886524916,41.13016098959319,38.480129605275906,34.249088170374684,34.768764879537535,31.687610696255174,29.69162120971089,31.107068605559448,32.65194166913353,36.16027584881926,33.566323689614755,31.9533996571343,34.424789903980226,31.342200294139896,29.22317956708003,27.321409526756742,27.585092459862985,23.65787893876065,25.513140361650645,21.878653965522247,25.721285875092885,22.655234781193037,22.453819795565057,25.140683907136612,24.263965778851265,27.315738128554337,27.721238827492133,30.600103538141198,32.078886587828265,33.05453930629838,33.56748904190424,37.310266346617055,39.92438653536392,38.77470300082711,41.818869689946744,44.4237490087812,42.47784132158273,38.63326950821158,38.42867793428391,35.472397459310756,37.73021762268729,37.4491311876913,36.88926594441761,36.837059611060845,33.708961210568596,38.78915489904311,39.865065498929994,41.25909618861967,41.288105732803125,38.09420140989279,43.42445809820373,46.29225131612788,43.651840511009375,45.31588508152436,43.320338645144304,48.43934317764627,47.09504224228632,49.337854371725136,50.06005061758222,47.20482495865609,47.38341582134176,45.45294558038808,45.79133195816662,46.277648978185745,42.00242472308019,42.51355101289063,40.08527422236961,37.46465278557127,40.5263439964383,37.92020014137924,34.43937379724939,36.5121774738524,38.356564265950595,33.703127014981995,31.85181768736722,35.94218165784435,36.26007623808367,30.6685081220288,32.3937529246002,34.77151358671279,30.901311786068447,29.06980241538557,33.37741796899558,33.86036002871838,38.284918981958086,39.79663258136891,39.602343258083536,42.20796239991541,47.029665075516796,49.99691225431777,52.16584626085564,51.801082001035965,51.02863378205563,52.9980044497672,49.843249851674095,54.15789144419189,53.8070814014513,47.65371944803664,49.690872408951606,53.69349750766966,50.15281552412053,47.531639152554334,50.56242690195308,51.63564837015983,47.55636438768194,45.90310191760836,42.76042749977868,43.85758840522414,46.84409907264937,45.252365599470565,46.41559490486432,47.96547373978342,44.441090044115896,41.9143249046958,43.595406908872945,42.80764156854594,38.14366273620632,38.47526669776225,39.42951136622062,36.67904876739891,35.06483090256962,39.72135130632749,38.784245535196504,34.207621129553495,37.20832299487145,41.13819880410284,41.146049433565324,43.959183080224555,43.11580508677479,47.29522499855411,46.017832654654796,40.9197126607704,44.5992902112606,46.684062521127636,43.67028755623706,42.487969626587024,48.465358238215735,47.54584448669879,42.563940683640546,44.97969546104703,49.67385382221346,47.78131809427562,44.06219580269807,39.401798687292874,43.471217617617015,39.59321793583595,39.81443986815012,34.52023500725421,33.87138585550128,29.301772568245983,29.71238847764956,31.32742651659441,34.64877358279902,34.451246115793296,35.72840386107137,31.523236503120323,34.34971889952016,30.262299649399445,29.132127493204564,30.550892593593378,32.065637733175194,29.237054566702103,26.52017524385169,27.617433835045986,25.283473070003897,21.835305182488153,23.054183333605515,24.287445563308783,21.265299178858758,19.020674084720845,19.903637971262494,20.603298116368624],[29.843835727629862,30.047425463480565,30.891418025201506,27.432195519287717,29.86329569794652,24.116610462178528,23.297690270288275,22.749856085243447,18.16863739726785,19.00805850153924,16.810031149209944,17.848290202796914,21.81235201349296,19.004817345489915,20.064906027256427,23.1139645085307,25.131814565935407,27.629507276236847,31.011956700453652,34.056760983033215,36.870295718294535,41.198083872799735,42.11581388660832,42.942037217575646,40.88574267593675,36.50026478171406,35.34991181689057,31.41399161019627,29.78929361794418,28.304398492510458,26.35725206084075,27.315320407461922,27.805738912931027,31.36238164586391,32.02429255665751,32.005421491488946,32.6389411753566,35.47307938991905,37.28815179700109,43.47040865694923,41.73631288824081,40.0378148930296,43.92981380933036,45.765758678209245,48.441112818532446,50.11944126396276,53.40782007520352,50.42360178194565,48.87114646747039,54.255352734151295,53.78027118622878,54.16683249804287,53.110581786257605,48.20885487382416,49.66867843476293,52.691281088091294,49.47825426521982,46.3823513860256,50.29451197920062,52.03556962523173,47.036506376754396,45.550597122203826,42.01349601227374,43.850923919696214,43.75110776847347,40.078652013294764,36.103468274176755,32.194863059394415,29.72226158033621,25.503224211293077,25.47158797482811,25.57609550481921,26.598527174140404,31.417047440630157,30.425485790226023,35.45483601666319,36.977487331129694,38.12827308222096,39.32525104969164,42.540760569465924,41.27067099065241,43.372642922210176,41.733393020797294,44.0259834220892,42.17393089391809,38.67652163124353,38.82799316903257,37.47647897751038,36.083183491913324,35.77338323501416,32.6113801181014,32.91865226390625,29.02816592918703,26.75022703935218,23.4198419863447,20.82995620662196,18.198024048969543,22.340144450317965,21.538573366733097,23.15375933756401,27.155868628684342,29.55371507474926,32.165199827350456,33.52371392917122,39.050114501178484,36.37468679498189,39.983160263489026,41.370887383467405,38.35814555906143,35.48244684510916,32.163228641610814,31.261615064015356,26.637417613751833,28.240849660988303,25.118855758422164,27.281818279132352,28.0167364283225,30.577453751260755,30.924375288007788,27.187824224483645,25.335662472350478,23.133870585769493,25.37744172349979,24.653515554991014,23.752973282803556,28.903265434941865,28.427941107039462,32.11628762040706,35.305283796155436,38.42059958206156,40.654452999203684,44.17666011199695,45.183127227737906,43.664833099254835,41.613918904887086,37.360166657114235,38.807667264252686,35.44960694662376,33.44297394165102,34.11232173589548,35.726743829791396,38.554991691679824,35.38256211011097,34.010292094470664,35.86760347615513,32.38086551894992,30.842913999624642,28.62646969774994,29.153110649171907,25.29612055168403,27.125547378168147,22.89338222857716,26.103134547758494,22.56436097672625,21.46774825735075,24.536900923986327,24.101461746682283,27.839264875402513,27.929705795518604,31.892435686022047,33.89157670022643,34.01559588578424,35.55780823684082,38.71662595938185,42.15482145728418,41.74445307132314,44.85728419477463,47.812355848857614,46.28446203620865,42.36830462589493,41.92277393700284,38.578251852524346,40.078162555232794,39.23215751616014,38.00932703863536,37.51432257132707,33.84071328961082,38.56746062914799,40.25966387630037,41.90301757384532,42.71796083021155,39.812379275863506,45.41941574704151,48.452032962792295,45.90286291284595,46.95953317159933,44.57310205171921,49.86591859540667,49.0559945126647,51.453175556602346,52.59722961512806,49.692845377150576,50.396333929399525,48.7297431983533,49.249626223680885,50.11778539184819,46.11100147670646,46.52494586051101,44.4390931481618,41.34829268662053,44.56793260242444,41.5097827740947,38.30074543856473,41.01695450560678,42.52472040893186,37.7598078154024,36.79662154789974,40.72265285284449,40.330827147837496,35.23632740823855,37.38543563239809,39.431050851710395,35.23597340398532,34.16503430918449,38.55137616567003,39.30689680037481,43.310973576038606,45.46972689809675,44.84205805963689,47.182605172314396,51.957606903580675,54.87455473829307,56.95432721336553,56.10362352666779,55.26354039786389,56.92580460119922,53.50023712138152,57.93823888735351,58.04053379990414,51.91128544398685,53.62056533141595,57.97014051212058,54.78017596750668,51.935230536755235,54.75715429108987,56.427375239784816,52.526434314633576,50.392511355728,47.288443735995855,47.57642896203709,50.49346591211367,48.77862597462103,49.38549779844262,50.697448252459736,46.87930927034628,44.78437283584608,46.656224761009334,45.25483764682244,40.78860939575002,41.754110688595986,42.27911872508779,39.34603745493933,38.44002825482013,43.08056126518647,41.77210629434637,37.46123605069694,41.03036540513335,44.831609782763294,45.187777880563324,47.7478491928903,46.77781941446848,51.135436101369066,50.231868895017,45.31522582836072,48.839093385929885,51.308612274174244,48.52033580014756,47.28803211928175,53.27951125414103,52.797806017699436,47.91973005111883,50.10556011895433,54.96734059580603,53.424063351051785,49.77439098809164,45.227050609361534,49.570023478382254,45.87349830101972,45.89453667677329,40.63633646814116,39.53218109068343,34.88801160523966,35.85488835304957,37.28855181362122,40.69647082904924,40.17738135958582,41.0017300148317,36.40059430511435,38.711061070031185,34.43534050321172,33.278333557508006,33.89097274148231,35.2069630452222,31.713581475509407,29.97325084397848,31.2581261188617,28.181843410905884,25.189352078181614,27.511181394339037,28.12422199364963,24.429322969820056,21.95923103772014,22.044184015757423,22.116616475962797],[29.51981723929049,29.48616830565701,30.273754827569217,26.12506916415935,29.080929317505348,23.984137293505142,23.18784682985746,23.758566513233703,18.987743837553193,19.095038389675068,17.589997099479113,19.91301630186998,22.57809920650214,18.800193162277324,20.877642147853035,24.14968966550032,25.04697874926653,27.51970086744696,30.027567810569508,33.63798584585939,36.08534799258235,40.57773344499847,41.030311998375275,41.38592016845235,39.66069620864248,35.14683166246846,34.412117416589666,30.597149107768065,29.793107281733523,29.130413356959505,27.569097612729372,29.20635303588676,30.32448739425657,33.52752646232634,33.73817978927908,32.93800386448625,33.92441640878639,35.74270987160143,37.167850066988684,43.5566675612215,41.036626098544076,39.514920022891815,43.6773715194021,45.30577274201704,47.57933766006043,49.062505031530286,52.51642777812962,49.950087112749,48.284912227251546,53.73390167048498,53.7184415789864,54.39759218274729,53.561993880720436,48.64297683105839,50.568821350468085,53.26881202991164,49.662058445862826,46.992797738525724,51.06078506943733,52.21920711882878,47.074342872583586,45.96959940715314,42.73997334708525,43.955385053698244,43.594379359292695,40.17874372702195,35.70376677521033,32.20790313855536,28.950422259338257,25.195114594781614,24.41105100994013,24.38135013748096,26.373127341358153,31.029947030301493,30.902702788167552,36.35545458333201,37.74577659718711,39.57022735839606,40.589534581960365,43.5264332601099,42.57940205182304,44.263470077011526,43.107574899405066,44.96815120697874,42.58915053381131,39.43943435715725,39.41750674460013,38.86937312960283,36.956544503797645,37.525951996237325,33.99833966836448,34.480093469777245,30.78484006748085,28.993360023108906,25.33614141649217,23.137985682163848,20.039199313245096,24.97825993023989,24.25652667933625,26.72480777659782,29.846327340351404,32.255849751717875,34.25062099443917,35.45768458512527,40.53750300946194,37.53795315757639,41.27481347025466,42.10228311488902,38.91034541680511,36.53951445495524,32.811356915358644,31.594113006589012,26.839804112235576,27.712368292436953,24.48735278892938,25.864300475297615,26.72075523230617,28.515143786560497,29.047105711149793,26.03316584357295,23.579716189462307,21.605549981951434,23.085817247226792,22.858649349605138,22.495228256438605,27.72233021427806,28.126019874146785,31.74725355356501,35.1916374860051,38.66628843755889,40.27950040528743,44.20023505539585,44.846090040232355,43.90828281664728,41.099723588877026,36.73955622736126,37.60786744098673,33.950223665933734,31.47255276642036,32.47325909719555,33.29898067368527,36.34996420040919,33.62005549325772,32.54323150096957,34.91816742614682,31.960962839995204,30.208615750687343,28.721878125372243,29.65142568500316,26.095854001204316,28.5955852961367,25.007464044826946,28.981843560012845,26.15322958721759,25.104766858510672,27.58611998332232,26.37124787494291,29.861066489632428,29.481316374511106,33.00893206518744,34.0593447068231,34.24283754419758,34.82628539649132,38.36562166030727,41.22379829405926,40.14315249341789,43.616853007848356,46.128538824084686,44.61152460829109,40.587105884447645,40.6085552897145,37.386704047293016,39.54053350508262,39.24080987510523,38.48507761270413,38.629580963449605,35.06821745872336,40.225386805682426,41.18999738291777,42.981221883177035,42.99007990030222,40.41616737279399,45.722934866179685,48.4761757204656,45.643829691985765,46.686122055621915,44.2257184032726,49.31630067944023,47.84182909325048,50.530984014670636,51.54899700511989,48.90634021596207,49.505596206579156,47.903240854936286,48.567440565271916,49.39265671518031,45.23668206871624,46.08727920681991,43.998931816209996,41.411547657337266,44.832529330356046,42.274976535801066,38.717766369321,41.025910517166295,43.07716390824561,38.46947332767908,36.60628614411694,40.883041947061024,41.32390132805954,35.7937776752743,37.582434969045266,40.07977409975769,36.23989621268515,34.416848191615806,38.754784956916446,39.09267746814533,43.6473068107975,44.85558953822729,44.68653802136831,47.42198620113275,52.15463395134421,55.245734314675815,57.29462944385213,56.86327190842331,55.915782142690304,57.75266063864256,54.41515830443055,58.633218134344986,58.43839832003066,52.202339769853275,54.020178765520804,58.003944070606245,54.5369158962539,51.74377418584409,54.536653429349684,55.731114810511436,51.712622928215026,49.65231221334869,46.90471297260176,47.751547519308254,50.9027411549883,49.603327067213414,50.581995816314574,52.351126490616146,48.55604531256676,46.08146193498944,48.16633188481076,47.28923459244818,42.555523781691576,43.200687520678024,44.27272505884934,41.52401168973078,40.05783241725888,44.81320329952627,43.91237321855423,39.418025239955654,42.50195543828559,46.4330350235818,46.385994117415045,49.06986486462653,48.02349431990662,52.2024075686271,51.131050217977275,45.92953880928531,49.40822088229722,51.62349451388696,48.655648209743134,47.197651459253684,53.19224208818085,52.3860285042573,47.2791793817223,49.44536679257366,54.23979584864628,52.4197638672509,48.615414783108506,43.98209497509573,47.96179772682576,44.078567198305166,44.64535986053126,39.29776497445337,38.76126964573952,34.293556741952315,34.44185182069362,35.875693798931636,39.004033262970644,38.652920105476376,40.14970919341964,35.74352340577632,38.330247163856576,34.0096399636095,33.623469198056,34.841190436995824,36.60294085609348,33.49100935844611,30.930880372244967,32.51175192063257,30.08440624250984,26.323496880076974,28.103350584443575,29.504082846196837,26.39193997824092,24.0336693053614,24.661516904921037,25.03297239446191],[34.0790690990934,34.074755558486544,34.76850754169155,30.634559485698276,33.293878698410694,28.17432622730232,27.03244840941805,27.22894539788454,22.353926214070743,21.982683646868324,19.881364789190553,21.97420268091501,24.67982532566552,20.842290849207536,21.961582273885828,25.350653261465563,26.564307923213352,28.349827481082023,30.66683692944199,34.37230029911046,36.4907330932525,41.04835130171819,41.33955126763409,41.95216969473812,40.53556768579883,36.09434423156042,35.73162935292725,32.13878901695567,31.082805452161676,30.520016357450086,27.904211384430667,30.163209104720142,30.687411645519703,33.495203477341654,34.256179174278095,33.60995155685077,35.103455001108244,36.97613523004687,38.71488163454368,45.08141389161091,42.61980486150126,40.548062351703905,44.56597377082174,46.50011647910505,48.73583266959462,50.524123997396025,53.763348033135564,51.09416358148252,49.85949852055012,55.316964960472276,55.04379002238595,55.84873370292082,54.74039461967798,49.97418047728713,51.53251204881563,54.04024503096657,50.4662855466026,47.60787611365367,51.41763595881953,52.65483699336925,47.38990217353988,45.83406684402534,42.508231824240475,43.486231176786795,43.555070763702375,40.36884409977251,35.60802522741263,32.245374777936426,28.926072873881974,25.133439630925498,24.30829054023308,23.559809400188477,25.561931422792053,30.264000932255794,30.421546396198675,35.404560168660645,37.44727956074057,39.07374220424222,40.57345104632424,43.804031424286975,43.26843363329499,45.368959889903884,44.505306581057134,46.67343612138549,44.39706527044398,40.94915111906712,40.43964892356128,39.75134153592715,37.399575499160356,37.486592792335244,33.744463086595395,33.572724221393024,30.040287630502657,28.55710969120518,25.46206783574351,22.775645448768525,20.381422031587476,25.62212529909802,25.53976379240667,28.2408358216851,31.239815407912392,34.33330643808521,36.08709566624246,37.929747016405194,43.10175733424291,40.52786479744727,44.45707938373405,45.48749310885112,42.53901823428118,39.939181003788605,36.43466670687478,34.899738547481164,30.180403261781485,30.867915842400322,27.175141962900042,28.530102947600238,28.771750868256323,30.588795758145103,30.228531289141113,27.251240043517527,25.09745720445869,23.636172695319637,25.66838083888755,25.8789091431716,25.942928490636586,31.20547405044387,31.931829584284838,35.35464074298217,38.821287087779375,41.996699267298204,43.95252108909974,47.78463410699344,48.25565084757842,47.071344280228615,44.3968516730651,40.00853402898548,41.250438861667455,37.33633640022689,34.696461287336454,35.318696138821466,35.84116069457666,38.448933415917836,35.52291273975742,34.782040480145525,36.8971007596923,33.91021613958177,32.520443062820924,31.125886215640048,32.37029261877414,29.004418348244887,31.66042324087211,27.929837245036957,31.68159918115544,28.759631816471288,27.221082978308967,29.740731774515893,28.590948977993996,32.40171629583322,31.65771810372978,35.724860965766325,36.77677723264381,36.38115184374633,37.3064511345506,40.54558479641284,43.73399469076902,42.90562794445172,46.5553624905784,49.11067942540989,47.89173552800816,43.79899640174267,43.84502913029015,40.43307143111793,42.30976125069511,41.833268064945045,40.797201229531744,40.87385716865662,36.995935448062,42.01302090866671,43.13269116513975,45.15397446497217,45.409559885666916,43.1817204739168,48.53708749987773,51.284394343546076,48.41836185270168,49.011486606694184,46.24274622688147,51.34103970897137,49.97814032548843,52.90088125215564,54.16864571118724,51.61437589022209,52.538239954915625,51.14758150903563,51.98304119486499,53.034412896092086,49.00437578473636,49.939138658601756,48.050525657669276,45.34718905321249,48.90336538161475,46.22809548264473,42.73477480610128,45.27351886320986,47.27518011524288,42.64115674640113,41.011568195891144,45.28056771643373,45.541223159025364,40.14640422751411,42.04887594188003,44.46668628412082,40.52574281658268,38.88908364338996,43.24394423575241,43.65443516108457,48.118976915741236,49.463745068775076,49.21411571731859,51.899994264685965,56.62283138873774,59.70341069833227,61.73103215733719,61.1616465953755,60.16804508527247,61.89090709819118,58.433061780964564,62.66501093716176,62.63780854920711,56.39006640348601,58.06062406825804,62.13492657223915,58.783606450264884,55.88637165552296,58.55159376109284,59.93918131281199,55.98486536869791,53.68288767269959,51.06421412446695,51.61598716193891,54.790335032498014,53.5326909973779,54.29279677692473,56.035980115393166,52.08432392520607,49.76520927790839,52.00025511342918,50.9023010015246,46.225468785773764,47.13243825073673,48.079250114578784,45.26651580177362,44.05180148432357,48.8125811820851,47.77987119771986,43.370838473006536,46.64828178669913,50.54289396978398,50.60999396742463,53.21366276184377,52.10501498620475,56.340662048830005,55.405128046567704,50.239091792301075,53.645740013307254,55.99023971511963,53.0847385071271,51.5654351716044,57.56956493932402,56.889658979455376,51.78068883302594,53.839459332769934,58.69690674464929,56.965897716422035,53.15651349500066,48.54965814336656,52.55284648567387,48.6895880596746,49.288234761103524,43.93817627140706,43.34615813309716,38.867350268996894,39.07662311131687,40.45686381767984,43.55959471114296,43.114221022602955,44.567117713365846,40.02052210379397,42.410381249362985,37.98504346358845,37.76832108181027,38.71057036243129,40.45880360546377,37.08843619395372,34.86240824004316,36.57148345321081,33.898137998835566,30.24182954540681,32.40103505766506,33.62953461543619,30.289221879280106,27.84875418377157,28.192522436258052,28.30597751205117],[35.25491487300032,35.70624515623117,37.00024165498461,33.19007895276972,36.23807703148819,30.76930657746195,30.08799654798314,30.004881976540755,25.300436620533922,25.6229421183819,23.437921160702768,24.924869852433197,28.356725556160505,24.922955741708016,25.801995552029698,29.092160346870504,30.76223504965942,32.627204747412165,35.23995350193086,38.77661287685584,40.99943934482128,45.515715265032824,45.92487920692397,46.674989863120445,45.19452251302017,40.77962992050801,40.28535065677232,36.61990716171436,35.29784488017873,34.3612315647885,31.594712909947727,33.485239951932385,33.631588304065325,36.62719075340473,37.69532331532949,37.45677361272978,38.75128742955024,41.105946220756486,42.97039857833563,49.27216982751604,47.087818710790074,44.996944666139896,48.92709396863754,50.92849702950136,53.29527307018634,55.116853111812034,58.32384584351906,55.53115840839897,54.29596193364575,59.73238940410027,59.31980295398485,59.99273036916965,58.81343196468736,54.03546185353631,55.40419335616726,58.06945709552818,54.66352434769587,51.615969148803835,55.33952870751222,56.83318795568443,51.615175009579175,49.842383797231285,46.36584816488569,47.54902648549059,47.80316554520418,44.554174240356026,39.931462718480965,36.441170618568826,33.37736369054612,29.425445379391956,28.827814013530332,27.96555247905552,29.67802648778298,34.43701303476736,34.341407888565584,38.99965429415004,41.27370053143661,42.527914633424004,44.20982235381623,47.613847757087804,46.93732825623149,49.24008571869227,48.09211708788621,50.43938508500379,48.394899347676535,44.830780395844414,44.44996380767134,43.369275159636786,41.272249082827315,40.85839688143525,37.28045661584526,36.855970021419196,33.268655484785,31.576220292843484,28.7575972088505,25.77423976882836,23.719755992790798,28.491340689917724,28.287627987670728,30.256588708547106,33.985907511406026,36.85141729373868,39.13799885984028,40.83166009194966,46.26326523670169,43.64474820351996,47.35674786768691,48.588250354583,45.517873143908105,42.80431670408274,39.3394211128312,38.25709843714889,33.554232133209176,34.696919991490375,31.2534521836803,32.87845349372292,33.281812083970685,35.282364023324206,35.01024245660254,31.84743728936725,29.80146427808963,28.177462099652665,30.2256985003566,30.14778174959613,29.810395922923174,35.057553084886834,35.158976121803384,38.81680145719424,42.15720485942142,45.406184516256836,47.38829919464427,51.11695371318486,51.90207740858895,50.61180812557367,48.18693932624288,43.84528763357777,45.023588729194685,41.3766609281074,38.93996483881297,39.6840383529188,40.47759344496327,43.18598720628851,40.210351951792425,39.318338203745725,41.35912288420619,38.18884724824076,36.771432015765576,35.05118504667847,35.98249243561091,32.34056796250094,34.49646440066101,30.390802346208844,33.66166175896935,30.038169374331922,28.89076982426904,31.93889786605931,31.363350632237438,35.19624044854236,34.92108016908566,39.01789317722399,40.567493049275356,40.358852647774896,41.55593732871385,44.76289133675069,48.059921727363744,47.321595605962514,50.805864585318,53.460484273575865,52.0713120675968,48.03577266463241,47.94857969639002,44.59756613307055,46.39182088056304,45.76705478278674,44.61928568501981,44.38886870281121,40.53951242345299,45.353889501929885,46.84510104248561,48.72257260543226,49.300965358903554,46.755666337859616,52.25099310955275,55.137983395122234,52.404070585402835,53.17676132017306,50.51565185112311,55.69497101894012,54.51265380823228,57.289304395390914,58.51164842579296,55.83317481735346,56.643441148045,55.10570445637969,55.773529836181105,56.663935027728556,52.56978693100935,53.23834998213335,51.10700732799213,48.27831372238753,51.520382731609416,48.656961368810926,45.31695934121358,47.74054406813714,49.41846788546265,44.683519683800874,43.2317961363285,47.22592424743172,47.1205378318853,41.75337986280012,43.58502068084517,45.68941262151315,41.5979809174419,40.05335492449576,44.25341519227387,45.027688486009886,49.17724808674093,51.11669200122286,50.92450943215023,53.35104369810469,58.24842535989492,61.03255981575486,63.33065492887384,62.80804439170888,62.094622060884156,63.93300562033765,60.638686300621956,65.04016961532471,64.93198452094062,58.78805543356148,60.64447301283542,64.82141011084994,61.435508407892,58.6865159332322,61.55619589216137,62.8983670532202,58.88592728198796,56.91297673854106,53.93842870735826,54.581242753561845,57.584876014378146,55.96367885769716,56.73632244919251,58.099727521361324,54.34401265129079,52.15334042035687,53.955893059942746,52.66723580558598,48.18767448042942,48.95224938538359,49.4776990296508,46.53977425428426,45.46069282081007,50.01663236836323,48.65371903751343,44.208210712856406,47.61437243470011,51.433101133607074,51.811704997469576,54.593649883602296,53.80630735497897,58.113347950694525,56.933616211361276,52.00480152357826,55.68917352808856,57.91275125819703,54.96100895091092,53.83866673876984,59.822635100287926,58.987991152203435,54.04707018097292,56.41812800600101,61.15243563091061,59.279078936432775,55.560225330222956,50.890526171912555,54.876569902020904,50.91127049054548,51.139454077156635,45.888689836789325,45.32749644859047,40.720579805326075,41.10934242583622,42.80347351611947,46.07787659707133,45.87849328554347,47.179627651061665,42.81775353312931,45.38537980403375,41.10739615049251,40.16654060100353,41.09950442613966,42.46895948161205,39.135202450838115,37.130277345852114,38.26261699318836,35.358533201185196,32.34601779009327,34.11404580009774,34.789616397137856,31.228196576800194,28.82619601219381,29.03096816922806,29.12736879085805],[31.207776305849407,31.752357056091018,33.32645609643945,29.52071875762933,33.02401620576322,27.625665490598756,27.397945059093715,27.720822157573803,23.163736980743952,23.95379865430422,22.32263720069107,24.021732505342655,27.396737496113456,23.969664902194097,25.682835038166658,28.905363796107448,30.23965322182231,32.661274136207496,35.33568507464715,38.87098871532426,41.32116495889938,45.81472927271795,46.29565570593336,46.77185395159854,45.08457089749034,40.58934856010739,39.84150997391102,36.00650857380598,34.97370382096216,34.016420878248894,32.137568056902005,33.56566475013193,34.24574098583971,37.569749936307666,38.1533076077092,37.72858979280228,38.62451830894425,40.858837090122385,42.42121243163756,48.7608175146576,46.4448001398726,44.84232788579394,48.92910752746259,50.64573808104434,52.99528437625503,54.52556886585781,57.93889561765938,55.288988769350375,53.664569652227364,59.09843412239471,58.96772716059092,59.557514277609684,58.642006864967016,53.72259011083824,55.45974892786012,58.26446645621428,54.787260194799025,51.94069893987081,55.90436382572012,57.2740664432717,52.13201229217722,50.77004581966771,47.39471970160139,48.70515914171548,48.58004283818554,45.164420533334805,40.6978027067504,37.13481841337114,34.01000952560936,30.11885457979398,29.454136230695486,29.09797027062888,30.954894838445114,35.69883389215615,35.4842867315103,40.594577969522234,42.340942640304846,43.82694168146619,45.10447032504271,48.2498306704328,47.24931720141039,49.163993874881434,47.791630769732315,49.83718751016964,47.661903985482574,44.3888174188778,44.415063101856,43.51358827425864,41.7412366249213,41.798507363782264,38.3491324344916,38.467396911315305,34.73967901871642,32.821987705388665,29.49970620103775,26.905007033073538,24.233814802597987,28.840353622563484,28.088188986516496,29.844682886328908,33.71132948297598,35.94618562072328,38.4615387920813,39.54965387098955,44.88206990207597,41.832803567058065,45.33569559028864,46.33941606260579,43.00298801326644,40.555799529327174,36.85110325774031,36.11654292766705,31.39626787738263,32.68482525847519,29.690718569212407,31.25512816807051,32.19836937238812,34.076200187093455,34.558348577169596,31.45913645080659,29.10522814312985,27.10666929571399,28.589484877752156,28.18989756174659,27.502070439712934,32.668947637369556,32.472812850643884,36.32663154401625,39.63767118435076,43.21134590266843,44.785127666849576,48.61965894565326,49.56971096521194,48.575488733135735,45.971029048769914,41.667462671483825,42.399473658792495,39.009946778932196,36.69280542855669,37.83290111808753,38.78714954695808,41.90712072302121,39.173309511658665,38.033335474190395,40.35385599696354,37.26821126033486,35.51843919716271,33.77750834187117,34.437093816956576,30.633114385385557,32.62433675945281,28.6507604533274,32.10517774972267,28.48134490160279,27.87701725803274,30.937770339279,30.321572989613767,33.847752882145905,33.91742575178314,37.488904148066716,38.99327841048967,39.32197289900163,40.128849766951404,43.63525868722253,46.565971696731964,45.51798623717662,48.86657287240358,51.41480563718969,49.73696075683741,45.77289980474223,45.71908421796548,42.582722960575715,44.699433432051514,44.287644167373486,43.43558860335811,43.303516045577396,39.751839540575816,44.71467612383832,46.02724150484368,47.70009336980423,47.99728939391329,45.14503187215186,50.56570703894443,53.43405666870561,50.71586704237467,51.90982168219211,49.52585777485788,54.672070254875024,53.31304462078814,55.90870377947197,56.88059960780078,54.15151544659638,54.63318951273198,52.89329644449688,53.394987184919295,54.035688333289634,49.80268962774736,50.40609610287586,48.03974248584396,45.38254609672635,48.44134068818379,45.73015127404875,42.32554240024618,44.42580485653734,46.14819568389293,41.448744220852,39.68100441083431,43.647381708820745,43.75056222385923,38.19792972522981,39.83005914914889,41.988799362654284,38.01238273856633,36.184634830955275,40.302878698801926,41.047405920103564,45.281118613134126,47.093683089320116,47.084163555032816,49.549432821823416,54.4950262175789,57.22982580833231,59.618343223011784,59.31949106928723,58.70743649736179,60.712478405369346,57.59344018569439,61.98032234320396,61.64043035110312,55.527729805423014,57.58541505901865,61.629510892582026,58.08444539015055,55.48788829521045,58.51403001271756,59.57675601146266,55.478775861500445,53.83383586269908,50.72323071037458,51.75657432070458,54.72826127136569,53.052454961326895,54.09243147218563,55.460858427074335,51.906836543195055,49.54488258845757,51.13094636820407,50.08799934133568,45.566838062083484,45.99491397790075,46.614127949490964,43.733085791197595,42.36127477350092,46.87145071574684,45.60955757862005,41.03612855866622,44.212742057636206,48.06746269291968,48.35639985858981,51.28663814397652,50.63543916196769,54.8720577562315,53.46664529364514,48.52758279676021,52.34389692582388,54.36209956470218,51.3099664756043,50.32013190900881,56.27593536335813,55.21913397001847,50.29893935330768,52.84888382711692,57.46389893568923,55.416821124954545,51.7104964816331,46.99806665201648,50.86898704664985,46.82897394442199,47.01956638537835,41.802475049850926,41.417138912717995,36.82867753374508,37.06163940419969,38.902088321373576,42.18302169943859,42.18102420616321,43.597330978273106,39.47707518061004,42.30740722368091,38.180253753356624,37.01575478410381,38.291812868544284,39.636648389454116,36.61899359649185,34.2488416086147,35.13428238358303,32.49770232526594,29.47704813079636,30.6738052484749,31.456360209828993,28.132382595934146,25.836930142529923,26.34394204524627,26.718083620070075],[27.69493522003596,28.45070141997007,30.289453757082384,26.90801700319455,30.49343273891989,24.81515640710287,25.01525869705517,25.11862136776786,20.896241992140926,22.511025683064794,21.110324451091707,22.322904639221093,26.20974205969681,23.350949097740592,25.28372789559428,28.261974301150666,29.840486927720193,32.74076136760704,35.9069734577517,39.10475016984478,41.9383834497247,46.29360077756102,47.09634118216073,47.595774409205646,45.54286414891079,41.07305607450341,39.87267251816078,35.8479411340292,34.645232990117954,33.24953000595472,31.994128796058924,32.637883376116,33.45847153532547,37.200685978243115,37.584863186470734,37.410200146264685,37.752249445912376,40.398236563435475,41.88933356614088,48.10804535645974,46.126793106851004,44.86892168085057,48.92083421497193,50.49394109601653,53.046864717410166,54.42611868885463,57.91700309873912,55.162408678162386,53.263600713211396,58.63725559881478,58.49364724731981,58.84292925364603,58.04005436982143,53.031766854598565,54.82465783294491,57.919443117032145,54.61578172995513,51.725363116633716,55.79345851476711,57.37111173069797,52.403306512038704,51.20071276356575,47.7666741125337,49.52167827725113,49.208885087738665,45.52525212649287,41.500236402852316,37.68122900070557,34.95243264731589,30.914265842397786,30.59248839101746,30.75150527029619,32.20013768006231,36.967992444368534,36.19500041041349,41.42002910135737,42.76312869433305,44.07844994082689,45.085373804701476,48.12806541397701,46.67245094320351,48.45377802153834,46.62686486705666,48.62338367208543,46.63423110482394,43.45560293665816,43.94131481067011,42.775139400895156,41.58660023174426,41.59125136679481,38.486294748911774,38.98097687381976,35.08040953475115,32.75332238723452,29.227523667307803,26.838362890683957,23.94243793229622,27.874575370487413,26.602510023079002,27.662762558413554,32.040215903487976,33.63841156082803,36.664502560485616,37.256623386548846,42.693103962772476,39.44765856177725,42.661401563003366,43.76538877541989,40.301944702617334,37.831262934492024,34.15635248971108,33.930064127450336,29.308923582923317,31.122739238500397,28.63250383147048,30.552669967528157,31.910543545180214,34.090656420672765,35.13968484936411,31.728079511982155,29.446239829583316,27.00911517724557,28.38436905912227,27.416673115255445,26.114491120321745,31.123384192281016,30.157288940255032,34.20545247322321,37.325942991288,40.97540352124742,42.52471110180426,46.212704590985474,47.51404663763076,46.459478258253135,44.13466770138239,39.94451812890938,40.60567485485732,37.633308914096325,35.70740408075351,37.005375079329546,38.55832345567144,41.90245940551084,39.139872764221664,37.616397221810665,39.88425681933924,36.60630243041858,34.68661969590846,32.54947181876576,32.732672451794016,28.662359757746806,30.105575596842897,25.976053033420847,29.1302963271648,25.17740688308683,25.119072525429416,28.44082693206587,28.21573204477051,31.517004791962123,32.163996128207444,35.43157783780387,37.39941521054642,38.184726530328376,39.15840865081906,42.70114010984509,45.61426127578989,44.67905537401701,47.68567374027955,50.392295955435166,48.457335478342195,44.631204610174684,44.332966683027095,41.3294724883357,43.354465418038615,42.831265520406845,41.99520804819064,41.60321307411848,38.2970347914285,43.11362658824734,44.65010066352179,46.04374324645517,46.53119094224515,43.23270535503016,48.724098930039,51.721635125323886,49.18952135213164,50.76495887184209,48.68260538295949,53.8916845418035,52.76188001380725,55.01771597014752,55.83676783049488,52.918988624862855,53.16806232521642,51.21680995210454,51.48592040713287,51.92971021127521,47.67198395479557,47.96083539560565,45.39493409658828,42.60526915527637,45.37645650731921,42.52169324265993,39.269038606176814,41.31064874934379,42.75459350146598,38.00781346090774,36.48607751488365,40.2181334099005,40.02227491503626,34.567198202596906,36.23678941077048,38.180090734748156,34.10104721798514,32.47156727714212,36.55628101449919,37.51662656342022,41.498772065320004,43.76231491486504,43.62202427042679,45.88918607426161,50.893366650317915,53.49111374325249,55.965575430568734,55.60562550714384,55.137411089339174,57.18073065324627,54.16592269832217,58.6590275899912,58.29298067903942,52.27689402419619,54.4417157007551,58.57768213443193,55.06409231870233,52.57037838599891,55.74387592676152,56.846049449652554,52.7508270851035,51.34395068159069,47.911561364668856,48.95987557606306,51.761891101453394,49.803659130820655,50.866950666005465,51.97697505286713,48.60255053978129,46.308502022817336,47.574085622820085,46.45945948401139,42.06849640215326,42.36994814549124,42.76272525476081,39.83931515106476,38.52158241721051,42.91519344601532,41.51727045730057,36.944130012687026,40.18688349828888,43.995851326160164,44.43322441534116,47.414548266582386,46.92371301863294,51.19393293177821,49.696378291835195,44.91598469410819,48.864716431126084,50.854857779598916,47.82696209243289,47.07838180528126,53.00289519714109,51.95787969012249,47.19170638225512,49.897012874240616,54.45216763032118,52.434961568080865,48.832291736924354,44.14067693928895,48.14618625650982,44.17077752808622,43.99920805698378,38.86136132295547,38.265245851417276,33.59173457108817,34.197583889915634,36.1466722916028,39.60143483108494,39.653251657058604,40.758945886390876,36.738926552496565,39.63307274123098,35.681838467438546,33.874825462746806,35.11816325956227,36.180432152470146,33.26512979729851,31.024126429941276,31.501174830843258,28.76511739653069,26.198423064734804,27.146313896243402,27.57252291485365,24.154056746548292,21.926891359880937,22.43237117790284,22.93212206976611],[26.720540081413123,27.25334895644526,29.049106765080417,25.140229743607478,29.187111674005614,24.085460743291492,24.373478088815954,25.36242385762815,21.081356354367532,22.247808505562446,21.42957958711613,23.49936609045103,26.46906338558713,23.039059902389802,25.743795543275684,28.816759324593782,29.582786928397464,32.54994362191427,35.12428020418079,38.65811874285608,41.27417639283884,45.699455047282285,46.198703674029026,46.31176631469218,44.45196815412628,39.91972249568809,38.95116912128278,35.011911025002455,34.43119740750801,33.59273229086975,32.77248774588969,33.78300354468552,35.124131039288265,38.674588989664635,38.65694023999293,37.91556403267476,38.42150818340972,40.33133554226786,41.48344685516433,47.816389099335936,45.27243432344385,44.250192588894336,48.494627888416744,49.85674857152985,52.11512291063381,53.289739375311015,56.925551450535075,54.50356270384354,52.45314445532671,57.85056479617447,58.08904005869893,58.63012460363024,58.036952292888365,53.006522071351995,55.19403432555785,58.077805806968456,54.49358109638744,51.95412659220075,56.16703286841394,57.30520919274069,52.27130113385848,51.425211123105676,48.23770852345391,49.59012004040972,49.01714254540379,45.49161820855227,41.195969727740405,37.66407176683517,34.44492038226239,30.76924028519353,29.970325748224536,30.16300712261806,32.22068723311418,36.82915141791603,36.59064637543713,42.16055143265549,43.29335371561487,45.109897371165005,45.90747137196491,48.694516819241116,47.40545064330882,48.81170252926371,47.29464497350981,48.921186203054084,46.53938079069989,43.67556446625614,44.11619698059117,43.548410419124096,42.06864354451701,42.77026464637209,39.45179623705545,40.17575309729949,36.38847516028518,34.346037063949574,30.51927847734389,28.464536655322842,25.175266845878816,29.58578433587947,28.295638521319457,29.968412629803165,33.698727892800264,35.234988677341114,37.81915542839764,38.22078991200765,43.289887940663974,39.756918625775235,43.031625903487,43.672401825703716,40.05426876366836,38.01690982969376,34.02138681416337,33.60715606246494,28.93167810339463,30.231726708485724,27.80289553708956,29.148180012312807,30.698810256813513,32.303183081987065,33.652167172577826,30.781579319127204,28.08073618893074,25.7460911740373,26.433613847034305,25.726610744494895,24.721328352047124,29.6877340788584,29.30976072819656,33.305182027577324,36.58768521781291,40.5350210940926,41.54607896442031,45.5347656734905,46.58367353747139,46.01515692154276,43.10934201770248,38.87434913711741,39.01962534673615,35.90633501597005,33.691845245190926,35.30604142241586,36.33317182856204,39.89984416776075,37.52953096395776,36.16467214125987,38.82774328126934,35.96146861205498,33.84388232151781,32.224703556396534,32.63728211551235,28.79236723465144,30.692065841450432,27.09133609245423,30.841066228199335,27.50581076040805,27.45992104817239,30.306937039036818,29.49062051200173,32.56283838598075,32.90562165210767,35.76445787648332,37.02759292407572,37.9487459103434,38.1671487904747,42.010954095728394,44.42114466851654,42.94929054754289,46.16622938453057,48.51599024077797,46.53833457274807,42.67159730419667,42.719914766987955,39.87035172449312,42.415216106926465,42.32740614800674,41.88416441975924,41.97190787350952,38.809626686804776,43.942437071427214,44.91657397147043,46.37855506016263,46.229982532500124,43.13686234020351,48.371244013327576,51.14750020056854,48.42129988500029,50.05813695091178,47.98728362558674,53.02174908953785,51.38601349279047,53.80269313621317,54.47654005911797,51.75093725730311,51.861348020137015,49.928537059694406,50.27431370132224,50.642320088857936,46.26517762438715,46.8754737352557,44.28583015586734,41.9217100037324,44.82232918592484,42.39404542808953,38.87099496049585,40.547870430432766,42.433818768811676,37.8412802624575,35.567579011517395,39.57240068575046,40.090299504510696,34.2926622602717,35.645660347663814,37.97798014940426,34.236954509564306,31.96537024938753,35.99398021539304,36.572408516018825,41.02560410824587,42.44926115022744,42.69560216284811,45.29662585877734,50.24510583103706,52.996176510377516,55.427408383241634,55.42117347879609,54.85973309689655,57.04714670042544,54.11792393358671,58.418466428118144,57.79763142729585,51.70929083832628,53.96963602164127,57.79088505857843,54.04990439993899,51.617529702026864,54.775789181221,55.47124375895283,51.283483623140434,49.97925111324949,46.81941061138621,48.34721776711514,51.322268696721245,49.69970479630923,51.08003764052582,52.565335605412955,49.22778997214526,46.62019781786122,48.050091498811376,47.38843002698526,42.78374903320381,42.80990749340508,43.67791713674032,40.930128741601756,39.13540546965908,43.61696020770595,42.59579243256777,37.89454312172435,40.694487830218065,44.60227620877684,44.67294428603964,47.74025986762216,47.176522870620424,51.28018543528444,49.64937044131133,44.6374982616771,48.53413581074145,50.302144103824986,47.131454280946535,46.19995090206754,52.10882022437721,50.79101698987104,45.84942893418862,48.54340923075724,53.02475163895862,50.77731963697287,47.058222472911105,42.30558471830117,46.0017307700925,41.876586954027054,42.15164878017797,36.95228478273605,36.83778895202302,32.334101797086646,32.244128329096405,34.20087242598143,37.419230263597974,37.63193392560105,39.28131079929176,35.46579074274573,38.595013041392804,34.65489067316636,33.43725485145931,35.18557443006848,36.60697089127666,34.032762238250726,31.121358148616746,31.83951543068199,29.68185181695294,26.4856031921123,26.960938505632786,28.079056366443194,25.216795466197038,23.11468805381023,24.08186115528956,24.836964454849124],[22.917598658866122,24.11982625828013,26.78262498172109,23.75684402996994,28.197605200701645,22.767075661875666,24.0078247385478,24.667895395206333,21.153555703887477,23.61951868895376,23.127134416197276,24.330902395607527,28.048777947477053,25.527868905398357,28.31168085243339,31.007581961547977,32.186650141625556,35.66833348706654,38.85223706417211,41.92210000111857,44.97895374662548,49.20653103805881,50.10221366183638,50.28047883021057,48.000355293051726,43.5406198818763,42.02238341899125,37.88843054360867,37.04006786382388,35.57943753488798,35.43435518095874,35.40741665761194,36.76243554724577,40.81481707784189,40.67631500775605,40.37269745933384,40.149605254694066,42.68322464253004,43.76757897314071,49.872005460484814,47.834710766852524,47.239062972643794,51.38654832889212,52.58214288815185,55.10287476966868,56.083412289773136,59.789944007395135,57.23069696105255,54.84468889109822,60.1236225420207,60.32046881603178,60.51686194920926,60.055689160208274,54.93926888486405,57.13331382605053,60.40829096850174,57.10498074198042,54.471597316506454,58.75978407499218,60.22264461602026,55.42830071142581,54.696330839927626,51.40461778719139,53.31796281198509,52.60389323726449,48.774650628967294,45.03869696987492,41.2069993127104,38.52451830010591,34.66529860713555,34.30878496360531,34.95321312901505,36.48464674947898,41.12320415587063,40.21235499324196,45.755404545284826,46.53150157393426,48.013484975481425,48.56729003575782,51.27794007263469,49.40891489674742,50.702611962118006,48.53630131326085,50.1290694474051,48.071995164642715,45.33362992575037,46.37978637901341,45.37233504465627,44.6826439805077,45.14250559328784,42.29624031301092,43.3301048128064,39.36385312307476,36.82543066527375,32.93192946660385,31.019496124959325,27.68697400155786,31.093405917088,29.174651964775745,29.659636304102595,34.21327531498362,34.773252816904055,38.18179915052029,37.818796923310344,43.02621657812616,39.202533569470454,41.91184793490508,42.70633473281457,38.853960673995694,36.84419343209683,32.923789170794336,33.46381900738762,29.049252879231428,31.17635179839085,29.587542855999363,31.40332144669571,33.49448793856805,35.463846144528915,37.47681047222512,34.24388557515541,31.70614382587325,28.88680641197618,29.411852422531506,27.93961001693255,26.032134867303625,30.60136255015726,28.91953718521591,33.21084779340266,36.113322554280806,40.198498681169276,41.068229463520446,44.79519248571202,46.45376868833706,45.839624423257874,43.38969838683993,39.3928850662641,39.31184999626942,36.94959066873034,35.362423917169735,37.24548126680099,39.07144260859302,42.92174202450035,40.5584219006556,38.70099550292688,41.25974989690158,38.154907027472504,35.83931262574677,33.66321642845698,33.334695305324146,29.134697259716397,30.04109335167056,26.23328822441869,29.290177661566716,25.317475253246943,26.29089176812316,29.59222773976369,29.51853312930576,32.18446373118565,33.47103032579967,35.828376025539924,37.831159137538094,39.42726252906293,39.899528116874386,43.75208128743584,46.10364368606012,44.77179379083837,47.44919735520519,49.97825686149307,47.58600482481749,43.97885238554264,43.684821171289116,41.11026602681868,43.52834186055634,43.28146562553606,42.86085540470359,42.521951132567786,39.75262429404552,44.56926613731146,45.929997660843995,46.95303260135655,47.12952038263419,43.35240419460345,48.6509903060538,51.61010440386116,49.19797710379427,51.41606694762823,49.802087671408465,54.892056791890745,53.585073872164294,55.49856047353843,55.92560998793322,52.940259998806255,52.66145768012489,50.38759863472686,50.33254534038736,50.31550136371672,45.8941625501136,45.95917411507167,42.95562974199765,40.45160882982609,42.71938639774403,40.09297575098008,36.87685058563017,38.26410713465083,39.60224893504402,34.96705041693595,33.01153830606112,36.47651204304568,36.473142233910814,30.80416111048245,32.035931037330556,33.882949459391256,30.007667446285605,27.92283200384416,31.709621341821776,32.80205217698461,36.724541458542085,39.04967695223793,39.25393592991854,41.434877620695865,46.56108084313002,48.917372517516455,51.65288664189734,51.69241950397699,51.5222613625882,53.87391331705677,51.25186871572562,55.74455734077158,54.96731329671241,49.11492486250535,51.6651760618766,55.580923233725976,51.83285169263805,49.68462498503343,53.15983451278817,53.779023659071456,49.56964940827343,48.860006658265476,45.10107060420458,46.809468602519274,49.442321496827546,47.26953205591534,48.760666537189415,49.70306944296417,46.7955620145937,44.317598048681596,45.01395019695107,44.24924539185539,39.96161093417066,39.616847298280426,39.97476435221705,37.15390736884362,35.40530558781653,39.53963813862846,38.191351361270414,33.45395574610003,36.2790896288227,40.066445650473405,40.4852301505357,43.77391702709934,43.671199845147584,47.79806553057519,45.8211385207927,41.19056115680989,45.44306955493331,47.00630015209393,43.81850163222198,43.494542528837364,49.29145984178839,47.814271693520176,43.21624502917794,46.336380474926344,50.58814417005209,48.23924692320982,44.73928966089939,40.005054837998486,43.767198183519085,39.66776078258074,39.22960558761176,34.26977218341589,33.99500178153976,29.372475555221964,29.80529486154992,32.14372471116466,35.63810596888622,36.14787992457635,37.33991809889053,33.922244508295414,37.2690198515574,33.75844702552072,31.273995229665644,33.073067610876976,33.88353793981951,31.64023311791677,28.945931104347178,28.66509503730837,26.42257784934437,24.30445085273626,23.899835723785834,24.207965924784162,21.301617234995295,19.4641707207824,20.467507171359074,21.477060834267306],[20.04236807473533,21.506561993665088,24.650601288259736,21.914457164824068,26.793085145292462,21.64895087483596,23.491820776805653,24.477019061630884,21.485208295148617,24.344453187518663,24.36539570190574,25.54674151816946,29.072422372831895,26.793589301730503,29.981651695589683,32.481343385194904,33.42247414509717,37.18672067651874,40.363099658903984,43.32204658833879,46.49189106238082,50.616127031218724,51.57195529719206,51.57441433147734,49.16455801928133,44.7453505598194,43.04601207895464,38.88732156078746,38.2407668169537,36.760346003468484,37.2408403592844,36.84837708923031,38.501840796953154,42.687053640877416,42.24537633512969,41.863131724219734,41.32344031712863,43.765571669437286,44.60948171078423,50.601127955254626,48.54969128562197,48.34287296385196,52.51810229938231,53.48128144856605,55.97233561852672,56.712631435168646,60.52463103128321,58.09033052079394,55.430049441057164,60.625233375726125,61.02276133575648,61.12799526622231,60.87465035204542,55.71417181583763,58.13879974545346,61.50173288629804,58.212415311869634,55.74261196471276,60.14124425368979,61.528446950389245,56.86147929143701,56.409191115002734,53.215385002912214,55.21770294873268,54.270767503882944,50.37268097852891,46.833947553969075,43.01532162245692,40.39290635259018,36.661699353443666,36.30458659324617,37.22644357013733,38.76986498511242,43.30462418682354,42.30703934874559,48.002598613000806,48.442901937657275,50.0172832850572,50.30281248830352,52.803440792850175,50.708477142935685,51.70921594991215,49.36775170433453,50.71113282585136,48.62489296745414,46.161750537177035,47.52242693299267,46.62028603249033,46.21660754007307,46.94322060319893,44.258881011413585,45.60012587596998,41.61966101765828,38.986130587926525,34.917648543655545,33.29181308898859,29.757145945856212,32.849745878797435,30.6114994128952,30.8173527750427,35.35908754453782,35.33678274863904,38.89452324966716,37.99127292382496,42.99856172663523,38.87555728581022,41.26950174742672,41.862731411760514,37.81814109199831,36.112797331685314,32.091829921537595,33.06930699735273,28.853414182940817,31.12305435070577,30.086076629201592,31.821054960001963,34.29679067659002,36.13914619592625,38.67745266341178,35.5628120344262,32.93041785122609,29.93692303216177,29.991883015285698,28.244491823701267,26.018042164177665,30.227547545151886,28.145005898526115,32.505891006916606,35.23962425235884,39.536110499874056,39.9953389989828,43.71486774840164,45.56759151253143,45.2171337664714,42.71328414030902,38.869870424872104,38.359218272477065,36.38981332985565,35.03541109073409,37.22793849950811,39.21745042875005,43.31471311801465,41.19148699173447,39.15270885563526,41.8426959165652,38.863368206759596,36.35100886687774,34.17849251031176,33.563359483107384,29.36625393024682,29.960829736002438,26.4403816847132,29.412476472919103,25.572740336420324,27.07852339185499,30.264037329271222,30.242931892485995,32.49841555400072,34.113025440456205,35.91159966012242,37.89822912414747,39.94342830285335,40.12595262973586,44.11660083037793,46.127773463933984,44.58862774469916,47.043521372857846,49.45939226373863,46.81606704592276,43.36942609542205,43.070909272052326,40.770325596219024,43.38679806141991,43.30106230703312,43.126285314554494,42.82837001540326,40.39461037860645,45.17554256852053,46.411807728996074,47.215662197242864,47.20298207905302,43.183633558073225,48.32419267788131,51.23923713357109,48.91327432679169,51.48898665636713,50.15811783957938,55.14574686843485,53.7589577776376,55.45582250151516,55.6569528024489,52.64842472108783,52.061635612986315,49.61254102987884,49.367885400093996,49.083647103899885,44.59235747052394,44.52525642679753,41.287789324966745,38.97677304307208,40.93524046170616,38.4765359976641,35.30353826373625,36.282728806236406,37.56240814891677,33.04008618640205,30.821997438497515,34.10542802697954,34.249630295284554,28.48913598489548,29.434268223181814,31.233476244592662,27.533771914950414,25.157214983931713,28.739999350442766,29.881443577023504,33.77626213880748,36.0914228735742,36.4967038928493,38.63396113775395,43.80429342326473,46.03528796311296,48.895703448614235,49.169946745703555,49.15857816913794,51.67819326955116,49.28990890633036,53.75402668257776,52.741559118620636,47.00191477659023,49.76097103606803,53.52762064435448,49.65791347477094,47.717149793168176,51.34660217278449,51.68586871013253,47.42987945433585,47.12614358531235,43.20186861657941,45.28792677324136,47.81108778946762,45.54017688365228,47.280306919337015,48.143798945418176,45.5203251227327,42.938103172472594,43.315392489846374,42.785876892674864,38.576638932021794,37.847308968552774,38.2194971959112,35.49775768730494,33.479453899372004,37.44078796827926,36.16915516831168,31.367697209841854,33.89021900814627,37.65098999914583,38.02282106212345,41.46948747323276,41.5775576352524,45.59140367316655,43.35056532411457,38.81371515235548,43.21158525138996,44.51846447998544,41.24988955119743,41.162271107395235,46.85932042362438,45.14186597194785,40.65446331370324,43.995539206902265,48.05623947502107,45.531652374958334,42.103557338059915,37.36941191018477,40.98324052341633,36.8363297106714,36.23788024019704,31.40438897479681,31.31647354307623,26.765767671634947,27.093303715801486,29.64477717138426,33.139673682765846,33.91376961395314,35.139834708954204,32.11579159570164,35.696822544317314,32.49183282905762,29.64446663972835,31.766913457287732,32.436935027183836,30.638797427923567,27.68627410779465,26.969977489069276,25.10659123214618,23.2672678421515,22.01172577003911,22.28756535972267,19.826096773217184,18.292750229803556,19.61162376523683,20.9141084281626],[23.20087755403383,25.133108950182883,28.971204232168866,26.409447859359865,31.86252794805193,27.233992160651322,29.41011294082691,30.70568062354158,27.83833322290298,30.571938073457687,30.655079972313604,31.987894085024266,35.39517798086099,32.87207826406437,36.12945199626482,38.746112641733475,39.51576837580502,43.17978291601935,46.06070507376736,49.24658925774414,52.236005304034904,56.446005034547035,57.188993217555876,57.03228313159114,54.82248828870114,50.36253000402615,48.87286421945676,44.78012187917432,44.354500356263856,43.06499230847164,43.40206321960969,43.23909976456607,44.82913224830618,48.93924204823041,48.58463905961688,48.10950191737907,47.705935731321894,49.96054746399227,50.71927149443129,56.75823537608828,54.4619301537664,54.28928431830884,58.540821898012716,59.459227765753894,61.79247299860414,62.44621226317625,66.31734165338122,64.05340975453201,61.35265395656447,66.54743213740154,67.11494336542852,67.29586141811227,67.10903183765456,61.94636622971136,64.4697733637975,67.75474144039119,64.36353221205422,61.97889563132861,66.38736794952852,67.63918991830684,62.89857720899208,62.448514804673444,59.2857005021568,61.06318233044166,60.15647158172143,56.37459783699416,52.58459150227752,48.90015496898943,45.991928400635224,42.350548167705014,41.73804912128796,42.3651535759158,44.24838942467062,48.80422795860721,48.13918660244412,53.81948504637075,54.466492434770856,56.119258853477945,56.519237385610495,59.052302212105296,57.074547609987754,58.04512693656512,55.785046316948744,57.04668775330679,54.85563451739577,52.48309594207152,53.781392841162045,53.007173402214605,52.43794037047251,53.19718080838444,50.37087132429305,51.52392762256924,47.57713254533538,45.06240141472502,41.071360665034206,39.276633815572055,35.83350781446043,39.164656748643566,37.03130133624895,37.207941317354894,41.82991013684657,41.77075999490558,45.363016492364295,44.3433371619025,49.25045304688234,44.98017881226047,47.182775939970504,47.584738016668034,43.392711237164754,41.97968265007286,37.87942087295773,39.053374212686734,34.92348888333144,37.0408735239853,36.090850947167645,37.53315708610582,40.0573904558284,41.55236608180335,44.104597392337745,41.28992362684809,38.469319988288966,35.62847057400541,35.36384473580933,33.82079245998349,31.751000262663567,35.808782713284984,33.82031492467144,38.161826155407006,40.830189242602806,45.316211371390374,45.329291333514995,49.11777515156923,51.019778371046925,50.9928687299451,48.27037859508387,44.5063716088137,43.51215286623337,41.68738292116724,40.24334424215716,42.698875855693,44.320486319309815,48.5572559117111,46.70021262573095,44.79238659299144,47.68466771813349,44.90159761910719,42.32205876244959,40.361943508263664,39.791597355508046,35.66241220640344,36.23347564817227,32.829924209860586,35.688794499788415,31.71354652195567,33.41584040218628,36.6886485575732,36.71957517943633,38.90418841268311,40.54742735686858,42.18910054881306,43.99998562803118,46.142395817418915,46.00237507685134,50.1269066592548,51.85021036162625,49.96303491919331,52.46219981678638,54.60126389860717,51.82330839426208,48.44964458730242,48.36733425677532,46.27866674574094,49.20137482735014,49.33023189304168,49.33130628765376,49.151345313019974,46.78824880987748,51.605835599121704,52.736889104972896,53.51589516975015,53.301759129117485,49.27268495716284,54.26564861483473,57.08375331701484,54.73004515847811,57.431213691040654,56.15040776034543,61.037226464515804,59.37582281031449,61.1217511687062,61.1778119269782,58.26988765286287,57.48544391130037,54.95935989970261,54.62786158370545,54.103889736363044,49.53019425970522,49.476707872563,46.00933421619384,44.052679669520224,45.66338331003206,43.47937929957428,40.36331766890234,40.757475784542336,41.98658933025254,37.69263817853035,35.03467104143311,38.00141327669485,38.371575808321985,32.590774413466086,32.95628528969762,34.55380945280048,31.2404157740756,28.392169351144812,31.31121452317539,32.59688401693208,36.2749702277082,38.51124577808678,39.51220372799349,41.50847129462525,46.73254688658808,48.54358527154827,51.758407697016004,52.551125178153214,52.89170998598558,55.702024478528934,53.722410606057885,58.11714650364182,56.71034750017401,51.20181108506281,54.268627471761526,57.740224144216256,53.65627151404841,52.05839634274924,55.86530094587276,55.67512167410407,51.34223784668933,51.62724332303537,47.63027890133559,50.28303754750259,52.69530062447708,50.3419844602768,52.381864745697584,53.091342706470556,50.833619371327146,48.17925675545126,48.12201985821955,47.80780895319728,43.78919957118428,42.604961479849514,42.83927740519036,40.22223023178482,37.98572307364747,41.537195500765705,40.205288489961596,35.41382265053218,37.49569670044207,41.0761760735275,41.53171079733909,45.26120142179176,45.80780928858216,49.611306215219756,46.87551585261327,42.62971272697621,47.25501939249063,48.05543795458556,44.64827379321369,45.00277851541851,50.45412143061264,48.19661334088857,43.9440091431733,47.658056120829826,51.30061444885149,48.32784915912897,45.032164071630895,40.31623669696684,43.33997643048954,38.994338111826615,38.3165958142726,33.86354623841122,34.46904396072535,30.225277811553674,29.96452231111613,32.90764480997317,36.17992853540286,37.51382108547498,39.0800569164555,36.71280464033524,40.59912705902405,37.717557909159446,34.7046286702032,37.185543987107344,37.680904395743724,36.315855482980886,33.198327386645914,31.99057491787315,30.486386739263207,29.033114995591646,26.927859361320156,27.033562629675117,25.034233444946818,23.823007440798264,25.186210710879557,26.50612728390264],[19.044471788718965,21.284133393197422,25.351415061577985,23.62152404295355,28.76671531694279,23.917699779377596,26.507544035238343,27.36349692816985,25.17077841449552,28.625526153565215,28.889486196128797,29.58168388977097,33.339126271282176,31.583434421149065,34.77116096692839,37.020165942178124,38.09879981760189,42.074215678207125,45.46138210735662,48.17964464892153,51.52924981115412,55.519807590959815,56.64531110140064,56.62312796904907,54.029244953404294,49.68749241137166,47.7316133967017,43.53602105823612,42.82905142967158,41.068399838272164,41.945106432910244,40.99283720672847,42.63258632416051,47.037049970970486,46.523476720906324,46.37163354254833,45.41000834294071,48.12495114382018,48.86747367686331,54.64005907282456,52.857104935523296,52.95995924425356,57.05741770282932,57.88303067969003,60.46660228834008,61.031016427353336,64.88854737698418,62.447487441541675,59.55988649320711,64.61843575645685,65.05941008955826,64.95500596594046,64.83112101723339,59.66503663602651,62.11826286587045,65.68951183650333,62.57481532237218,60.101385130621814,64.53200662172594,66.06325853730536,61.57190651331282,61.21764532305062,58.001998397227894,60.2669525500446,59.23717274636887,55.213545439316725,51.973611153174,48.05935291378354,45.68186514938182,41.92377818138646,41.7285669223527,42.80621740117839,44.16105163935642,48.679639957625724,47.40980914013326,53.04618300556984,53.30853583523108,54.70317689707982,54.84491839660943,57.26167511131551,54.839457635908886,55.715109052025745,52.99240553522985,54.24056321462954,52.35662098073768,50.06800076482912,51.80490389172384,50.69435423784019,50.758306190854576,51.36800558368918,48.96910745819946,50.44828297161391,46.415921424344646,43.564311801477245,39.53880202500479,37.99586182714902,34.53290987713275,37.03296742301114,34.491988379724276,33.91325527599399,38.852730132654585,38.105228064711575,42.143337008603325,40.63744101210769,45.557918395628306,41.237921098582405,43.05741000031477,43.65351323136403,39.45769917973916,37.967917675521555,34.09042171891034,35.836971313216964,32.00788974107818,34.694162538657196,34.28891570962584,36.151113704258286,38.924906828405724,40.82900034553091,43.7481460729247,40.57186195870566,38.00902691027787,34.85421852135973,34.693975335513535,32.60881218091889,29.959718745693106,33.667048987010496,30.77917504829222,35.17451780521679,37.508064557124,41.87717627740175,42.02091045488137,45.49015909144747,47.7901131707727,47.5553977121981,45.341143609285695,41.79124728979424,40.92875187950067,39.61236470535834,38.69753272550117,41.1182460122182,43.46517786132925,47.735323063312514,45.74728146397398,43.469025414106035,46.123758171108435,43.124917357819974,40.50328533837559,38.110702241472644,37.02953694417205,32.77292736876112,32.64076987674654,29.222958389908335,31.522780853550547,27.40312424196013,29.706053795898065,33.05537161741498,33.54320810728043,35.3670148239638,37.59738851258268,38.89235288438912,41.25555795284882,43.77143234327773,43.97670969474028,47.95986668175435,49.77455739198596,48.21834978650391,50.26628420630635,52.66834310530421,49.71117370718406,46.54125470318589,46.08513067218205,44.11312566891869,46.71476348172923,46.61259789542644,46.541745992185284,46.01160203896639,43.94939182629968,48.441085123357325,49.85875297964169,50.32257659031346,50.4386988181566,45.996691412159045,51.02056106777029,53.97971560130331,51.90537908788839,54.91867938976734,53.95552496739178,58.87809976993637,57.626235155472926,58.962899923950836,58.92341227173288,55.80029779094518,54.86089904151998,52.16423330181198,51.58997381414169,50.92246256689175,46.435202163394614,45.9530846888594,42.363493846754835,40.147764814517934,41.40196982700225,38.96723572038078,36.14908016148965,36.5985719801363,37.37052210120071,33.03952303422226,30.957700980565726,33.5340675505487,33.334181621845076,27.839415631461563,28.369684332613915,29.585730839989743,26.056097433436232,23.70036361313077,26.633015423952585,28.29659730628122,31.522506780231858,34.58583779910733,35.186288303328375,36.85396152669483,42.13552957681756,43.80715518964362,47.06125696840652,47.58932253963644,48.05006728630467,50.802647247268375,48.871809855359224,53.403706347186485,52.103296445579964,46.728906379684574,49.8190512193095,53.485777600678254,49.569676336675684,48.030046142649056,51.93097510743295,51.99232766463242,47.75036520460001,48.1648184652689,43.80368087403258,46.236471273799765,48.40075331672481,45.694809100125596,47.63634023270914,47.99520299197803,45.92738921804703,43.45171955292114,43.0341529415872,42.55160614126597,38.76844079277734,37.52007762554711,37.4149115535572,34.75528290766935,32.68985644377486,36.07067031816043,34.53596604893099,29.802639917315286,32.05108109892109,35.56220529631309,36.25670132000296,39.971970388970156,40.66476089790212,44.53907776826458,41.81563480832405,37.801957745862836,42.52311360644767,43.41833515229178,40.12542453338019,40.7423937939455,46.14970148015237,44.1012769587551,40.07860665233893,43.86777688128861,47.51053788268826,44.76297865086675,41.63130854012978,37.018387192698,40.393389949747665,36.286963555274056,35.03274256227388,30.685756054771588,30.73022742590952,26.364100685102322,26.91584221771537,29.864756231037525,33.39129575214665,34.60725697889589,35.54748851071632,33.2202620239695,36.99308568856518,34.36718928953067,30.542195609632692,32.80803347977016,32.881773957484704,31.65641784137614,28.890543598434128,27.128585144639295,25.51084327240161,24.85190333975173,22.468570227536308,21.93190864831876,19.896952294488326,18.928562444089536,20.23115854947882,21.663602795417052],[22.482634382676334,24.487666248017664,27.9878076105616,26.115443691675615,30.611661036033265,25.09655505264721,27.063487936527515,27.182355769489984,24.528383347787447,27.87438676055781,27.44695780809937,27.744856255350754,32.10528889625668,30.39855823140428,32.904182877697885,35.265571173804666,36.925410281436136,40.622855435550946,44.28381546919302,46.95418083334043,50.30226324321048,54.358480359198545,55.57055636120404,55.89387362523559,53.331000558119705,48.968614622927944,47.07407231260184,42.851648969393494,41.672375029214905,39.66378394535682,39.79239948514366,38.96753677665323,40.086948531801816,44.46345927633759,44.41563716572339,44.614371371544046,43.85108564417163,47.01276658835698,48.13962069948994,53.97384806041354,52.46859064655758,52.09627481807444,56.08510580717248,57.21370744036215,59.964415924793386,60.85123539465468,64.53892311454693,61.82140733798812,59.26380553162059,64.39905107638242,64.46306151504115,64.34987541549937,63.93287549118598,58.8012297388962,60.85404975681282,64.45303579488913,61.46417954734163,58.672388919229796,62.922596893800424,64.74322757667937,60.165719239694724,59.383578822716885,55.9628735478575,58.34254364650864,57.64416285685012,53.611231882578714,50.321307178346025,46.266465945964036,44.059587498918305,40.034597483173634,40.04593019770419,40.86120391760679,41.944458883875384,46.610373089256925,45.17470196176518,50.497732190346326,51.15592161893025,52.21752894792212,52.70263372132255,55.4337650247183,53.13372883715999,54.46705960957058,51.74698822578666,53.41601483577256,51.756051038237295,49.05008492022597,50.52018982149375,49.01366029148947,48.968098891974655,48.994403661016726,46.568738532168915,47.66404203678557,43.6086695241981,40.709114496167146,36.998948848139854,35.077542088579925,31.98978784352114,34.47535920581049,32.20222400553269,31.497044828290484,36.805229751166365,36.581542739038404,40.73642138818104,39.81934706587978,45.14264586374707,41.246010237060894,43.35706258078376,44.404366446862745,40.46741434882543,38.42777638084108,34.79225618007905,36.203805041012146,32.18011682953728,34.99110622567307,34.028543002882614,36.235079917459274,38.57633147997644,40.861494455130305,43.1635668209732,39.63435720637862,37.329352202622054,34.274487911114214,34.84116661774101,32.89450603017812,30.401928033912778,34.52707795726556,31.747293546252546,36.136850975820295,38.58443170278352,42.61243474813007,43.457728492669894,46.80121406478962,49.03354789325665,48.27675302040602,46.40076380120522,42.69414624090732,42.527139958530846,40.851090813252554,39.818518220242424,41.79868691958589,44.23261083245587,48.178464052054366,45.76792629383911,43.58450710943621,45.94327721308703,42.62158582361607,40.26904457490009,37.620176433116406,36.691841847358546,32.30105704039527,32.21918133788238,28.24232908805668,30.291908387496076,25.643334424794002,27.539291679900078,31.275682043272802,32.04898941467707,34.357578160759054,36.463888266763234,38.48385419350938,41.22601427893577,43.25680142388601,44.10254140842643,47.82063631645481,50.21820056947042,49.12106637073255,51.308246623638404,54.00871081835208,51.32512294162195,47.98701750793707,47.368588480673374,45.02721149621066,47.19103267543582,46.71583594525424,46.21166751041439,45.398006638463244,42.945601803050465,47.31276979061739,49.14071433370891,49.778591567320234,50.40141073825655,46.07833314508594,51.406607743686386,54.532614773166806,52.46282935086342,55.09565904705728,53.8432495761078,58.959273351557584,58.03770913326624,59.51841414453711,59.784063582969814,56.58681489313594,56.02233171193738,53.488993027245435,53.072861214154166,52.72586031847751,48.35774890562381,47.858001919152,44.52015680588676,41.8595373079482,43.400121286880065,40.53802926606206,37.797263405281726,38.90769221310005,39.51973078603279,34.94671653041728,33.558012055459635,36.23539582842823,35.4692156663121,30.23762156399757,31.311561188375997,32.390858362021916,28.423923751033076,26.795791530171773,30.06759197236093,31.861593831559855,34.88427062718608,38.40723859899689,38.536905834242084,40.08719741374955,45.34096319431866,47.11920622645167,50.217893818621455,50.26749519776209,50.59441957429627,53.07704952430304,50.82831654891602,55.508864381319206,54.61629141053777,49.13252011817566,51.93892638398589,55.95485828649225,52.2900478752201,50.47211879721119,54.21992503849949,54.81251734937676,50.659429387538836,50.552947577951514,46.223766868451754,47.99354233217751,50.19407329754661,47.40757194617744,48.91182167480421,49.148506409100804,46.75023237331838,44.54826360783234,44.38298458555824,43.386369492586105,39.62040068702801,38.94222032098966,38.54847481080448,35.65701929400532,34.16047777235945,37.715277382539846,35.85923205897564,31.24166524880279,34.136598640571506,37.63869976580606,38.60230005581482,42.08945494493708,42.577513409551806,46.68870589064549,44.3471657060264,40.33333483632376,44.92488346227413,46.24991704845789,43.12594863379891,43.55122078767918,49.10350453416193,47.49367752464592,43.41139537248209,46.94540014506497,50.864799821312026,48.452923992559306,45.28266329837433,40.68714249428045,44.423761140136335,40.449213486953326,39.17950770472202,34.67669860343483,34.22013909118835,29.643806663836443,30.693673721159673,33.36712922111462,37.03672729724697,37.84405512091134,38.47770953732448,35.558903984021946,38.97383993941344,35.983018422781015,32.23196994765009,33.89130662637622,33.923407128274185,32.02572054095979,29.871302943084835,28.44267617862208,26.052381236587706,25.4424011434423,24.221360837385113,23.338298627528765,20.42807415015084,19.03451962111516,19.778080556151473,20.79207754430781],[25.464317542095586,27.7270977025115,31.598322470586446,29.756784309027342,34.58162914767409,29.27199459601919,31.363437527399817,31.63879271407298,28.945545797263406,32.16570418608788,31.691368200587814,32.09945530083956,36.43483447354648,34.52304065912066,37.00633019900151,39.48325093907344,41.10174003490227,44.69531868439907,48.204022082996445,51.03495054271245,54.265769813070676,58.403436117049765,59.487549526288305,59.76685198297181,57.33971348977165,52.930861198988,51.18519562277555,46.989608020987184,45.886178181426956,43.978105183360675,43.88030842917166,43.259004221718705,44.25559272055161,48.56132206630328,48.653543316358345,48.83620152581072,48.21126556152054,51.310454372247776,52.44584577879566,58.340295997663425,56.706297103760136,56.27131362814458,60.305009327699715,61.459421440751846,64.13577970135941,65.02533984717975,68.72920707926124,66.07290799311721,63.54558328852942,68.7040496273945,68.81682023945469,68.75326407568679,68.32878836494841,63.19272842850847,65.24664683015365,68.79703007369366,65.75599090083811,62.96291971280955,67.18790293198936,68.97013425845458,64.31993308642355,63.45829364594855,60.0193363515718,62.26223797403901,61.65315462828443,57.695289024669904,54.21293682118404,50.21976152126593,47.83336707725904,43.81594195739483,43.68123105338432,44.253383631525104,45.52942783460736,50.24415296035909,49.01350570475439,54.27600226099784,55.15388179533974,56.21415229277444,56.84396219075322,59.656386050692966,57.463450509847426,58.85869981189145,56.199164014823914,57.884424320299104,56.18469762562766,53.465215137536674,54.84174193299677,53.36107463246818,53.17125358359608,53.12284021198934,50.58621418288202,51.47802891759591,47.44562325837097,44.63174386349696,41.02649100504741,38.92722769182966,35.953238059429914,38.639950084088426,36.49895099594607,35.810405403723195,41.18328771249411,41.04083733374479,45.21057068208336,44.31962525463424,49.635508729344345,45.701185720822814,47.74056851683612,48.72560336961692,44.722906745171976,42.79604753900742,39.12477091926683,40.59707878995608,36.56911320458867,39.28620254965731,38.27276792938806,40.33793399097983,42.65499440658158,44.77829217815528,46.99506312351253,43.59514554054514,41.18666380396385,38.233470571524634,38.701639954689554,36.90569822948806,34.53445465461705,38.673012421569545,35.98989520233609,40.39016623685545,42.836263856853904,46.95531296925218,47.61407814963831,50.99825602508404,53.25337163960235,52.6278367651652,50.647269128349706,46.94934533287978,46.57293513180658,44.91340469734383,43.786275513975944,45.88007446809554,48.09211440041578,52.09450566778452,49.77640735291808,47.68964333361998,50.14771314790535,46.896750263217996,44.53175666324506,41.98856100953944,41.12996390561504,36.756171111310366,36.70914710920398,32.74793844657217,34.73418986267781,29.98006254247654,31.899828624403636,35.71134222929667,36.51959117128478,38.86149753098883,40.93986829831367,42.97291443913241,45.63995648605388,47.65580372424935,48.38232301360505,52.163439296662844,54.47147209543335,53.21568081359745,55.469049449099195,58.046594685073316,55.31226268428249,51.97812473672858,51.47492969186725,49.1992039848108,51.508165344043626,51.118499076516386,50.66297509109043,49.892123182884795,47.4152269167062,51.7997558641723,53.61751940981159,54.274897347798074,54.83984164732433,50.528938213462894,55.81724356103906,58.91050258249575,56.815604544557736,59.47025546392178,58.19473174823559,63.28774864447919,62.238030820294554,63.78279698273305,64.00660488214899,60.85664379800267,60.22502128760073,57.66148809734586,57.214702548331076,56.76145564846111,52.34558428533448,51.85352983263117,48.39575629087353,45.89478041637253,47.25584540371559,44.50930101077993,41.808002483030315,42.633009621780225,43.19154537473474,38.73047964632685,37.137545528117876,39.633126072517555,38.934639795900516,33.72280098848036,34.489730470709326,35.4132582905639,31.65091182114526,29.80250666635905,32.67998188793293,34.59826094008104,37.43112989669863,41.002683455343494,41.44935188347666,42.87590865531559,48.160917941301435,49.66362501344959,52.97811730126747,53.30108684878002,53.85758893999485,56.49450814897668,54.47628493669887,59.13752070680645,58.04796565877563,52.70438492110044,55.67412578526709,59.55643947714914,55.78836735860656,54.15376596276573,58.00228007269376,58.33481631339402,54.137683493465325,54.33735995902419,49.95267383377869,51.99578407880315,54.129855699134026,51.27012747941613,52.90778886808636,53.015404812102105,50.81767535723098,48.60977284979471,48.18789078420266,47.258150933716884,43.632241082870976,42.731104539906234,42.19905166372369,39.35432829272819,37.794193683661554,41.08144942329952,39.13505239747269,34.56414533520392,37.236994097294755,40.59843518321431,41.67044416260813,45.31370493233902,46.07676356393079,50.07850184931411,47.45780320463216,43.6522547661412,48.381879272634386,49.43250081465125,46.24269698466961,46.94218417710414,52.35794204686872,50.45687180780958,46.52287142824129,50.27316728465721,53.96265375213723,51.30693517630832,48.2179547612453,43.62809525660786,47.051269713928576,42.96419621161744,41.61967784103181,37.33536879878494,37.24315351631635,32.814281414109864,33.56566206222534,36.45853650072392,40.02755176515492,41.13125946243255,41.94140119014897,39.344619590643966,42.92110080185434,40.0655970823551,36.23198099113121,38.057590729683525,37.98363284206776,36.278765990153566,34.07444252107329,32.39452095194849,30.16419224831626,29.746515108050346,28.120966700137934,27.14079691418469,24.478213100082172,23.244717374093888,23.989441459603658,24.96385140158493],[22.854299337373917,25.447049167558877,29.711414301023552,28.46601535365226,33.38893676174676,28.36516064247733,30.950873799334758,31.296115752763424,29.20567709498575,32.83388015319123,32.74737286752307,32.96633794211014,37.231300137173854,35.70113129044585,38.43336012195292,40.66691190089336,42.19293182893316,46.06080294154378,49.691186414796285,52.3100125200981,55.717715469298625,59.710913458703246,60.94417813881361,61.12623724434813,58.499784692985486,54.162948105578174,52.16236329623573,47.933671671746275,46.903667835632746,44.85853216926585,45.36592401780395,44.26199696707383,45.492110295808885,49.969347829741295,49.78578017811232,49.99858225245733,48.98416103491091,52.13595646560177,53.08256691482701,58.79239515517458,57.303997627758086,57.24041357912735,61.241929723424356,62.18308198899361,64.90121418977797,65.5741689299245,69.34571834283936,66.74375042638887,63.95334384948871,68.99134540057707,69.22066715075387,69.0007351885681,68.7580925720891,63.60227977592843,65.81283010257671,69.51076383495385,66.56886299409152,63.88765613569062,68.19478638334195,69.9954398461333,65.52243501337513,64.9079976742764,61.53438867359317,63.9809186050639,63.154907812157106,59.08227949295646,55.90380874008613,51.86150429301819,49.661642122403265,45.70996366693739,45.682021864996194,46.57586976046771,47.72888077766626,52.35768163849762,50.902948567986805,56.27426658826202,56.785279598806426,57.84706666710882,58.1951952478182,60.80805628367693,58.32009554614592,59.459922244454134,56.535781531239955,58.020191659355206,56.3993775252904,53.92450546139511,55.66057317094008,54.16609437068229,54.37283448914836,54.48813525984146,52.19563870553652,53.41475698443402,49.35111039870422,46.37691841659127,42.63160401525341,40.818929301493526,37.68838694431995,39.9252683508703,37.45121360970122,36.34688921766469,41.77024537254233,40.98919651419746,45.38107640517034,43.941774758046755,49.06964011174506,44.92561178716039,46.568073994967975,47.45560018099126,43.343540867320066,41.651460409054934,38.03712766552137,40.00700382895078,36.27538166894917,39.22813491431346,38.766420929609204,40.87287660322839,43.51085661810366,45.64089700565728,48.323179313095956,44.92368984487488,42.52435879021042,39.38022700443292,39.55220082351837,37.44221359856705,34.72795707803715,38.45554420846756,35.25378829551088,39.64847677982126,41.82199905180505,46.01391344721815,46.386064609371005,49.61940716791119,52.14240370810772,51.66476208836252,49.8238573578434,46.34719325955876,45.682921307047046,44.498883816949466,43.70915840784809,45.999882728154,48.51509253055983,52.68524647408365,50.52112897689974,48.21094396030704,50.68590263086956,47.48218452789,44.97843942342913,42.33326880307986,41.12637311396541,36.76515196539104,36.271744714235794,32.5642208998377,34.26153662967751,29.607821830521143,32.07882584833511,35.79679422646486,36.78051029606873,38.694798674199134,41.17386795843998,42.67781903961804,45.48213035325063,47.925623421233944,48.53505255508949,52.352702129832586,54.41848678840601,53.10672731288888,55.04106318916328,57.588961936833975,54.62328917909653,51.50315226225678,50.89096860099698,48.8803898557375,51.225482200377414,50.890507691590614,50.60136261835611,49.757046812747326,47.63871749447124,51.870890313434536,53.67512789506928,54.06356991579947,54.5841526194284,49.986511311506376,55.12360326245519,58.20828652180046,56.28239868790584,59.2970057742191,58.33980522689556,63.34224681457992,62.352750359345904,63.6028264922836,63.617270499550365,60.40109084221154,59.479521031417256,56.74087322286813,56.06601047947926,55.3480733229831,50.94744233175274,50.20679072822334,46.54569002749058,44.151622900676095,45.0928686421636,42.431623579350045,39.9271410673584,40.40261193184696,40.70951932226447,36.41531819704815,34.85818583815985,36.957695973511164,36.14994279384093,31.110276357473158,31.634285166525093,32.275823860751075,28.686695435569234,26.845857989663575,29.361499831680703,31.496426721364106,33.97698079143606,37.87015730895776,38.380413417254395,39.572924373617,44.859891755464965,46.12627937111335,49.579851736357874,50.04102332977807,50.821043534092986,53.579608347475705,51.82925016080935,56.480349826154594,55.2165467390155,50.08905664792409,53.233835085471654,57.01660299824055,53.23079873725446,51.830802207478804,55.821067603516056,55.97628711194696,51.80858999670889,52.42347881119927,47.813317141165676,50.08800932487167,52.01218462240305,48.95484848703449,50.75580687124455,50.63986084507737,48.79445215650705,46.59728944445783,45.74080165354919,44.94729193756009,41.54232717505393,40.28955632733664,39.59964569490073,36.85924085525922,35.17912429557097,38.144087044143134,36.16674729508251,31.652606185872024,34.06621059814387,37.28921335868591,38.44962138406064,42.20897319649679,43.25650675926011,47.13385385039689,44.270577342084785,40.73398147362959,45.58981283102643,46.40432020157948,43.220738037568,44.26799728295167,49.49553865738496,47.444277773642575,43.77475828134333,47.72679303578522,51.176247445940014,48.44614372172228,45.53594859120589,41.056477396842666,44.37610885641486,40.38429553192727,38.68318572031757,34.68539466366913,34.600325675972485,30.33059109912894,31.243841836348643,34.273675248517634,37.8402669681865,39.14039721507962,39.75425646312644,37.57766864342904,41.24739974166041,38.77853284395871,34.433293968599834,36.39754277186209,36.03217682212605,34.76855405744136,32.56041266799949,30.328614249322573,28.39627901458171,28.556498533250707,26.219377271408895,24.917073683895218,22.68864472079385,21.84822561043863,22.730736237755895,23.901448328516622],[24.740774025929916,27.46062203756003,31.69192739451183,30.988189534376218,35.493986258375486,30.319429742952483,32.908615840694985,32.729762895423235,30.932164805850146,34.80882228586978,34.528679032729386,34.21364032109804,38.86235819950943,37.758958308820596,40.104151084050486,42.172294661816274,44.098664322785446,47.943593038648636,51.88567264865503,54.2518759734814,57.79800693013026,61.69545662179853,63.13162195218518,63.51521695141224,60.74728155174881,56.48104132460021,54.313008905856435,50.05986447452053,48.705659271241196,46.32608597939652,46.738604550335694,45.28291395530683,46.22647787489128,50.80105677996738,50.79721442557984,51.37349553628778,50.15438011296818,53.74160558273628,54.83466795365393,60.37860840395311,59.293300440070496,59.175835779067626,63.02277072339629,64.0410297277443,66.95935845828545,67.70780503512778,71.3903751879859,68.58419124578269,65.82767000282462,70.80246826635249,70.79353385585661,70.40096713830228,70.07021129481029,64.96164530118486,66.92329274774458,70.78919971073846,68.09176631460019,65.22758612294474,69.42826251847035,71.51792777876014,67.15910332589844,66.38593726876013,62.89988257322877,65.6318399959812,64.92240645093518,60.751902327576154,57.830366105331166,53.64698258820253,51.77764464321612,47.68823553213593,47.92595996120351,48.85173179113996,49.656783551319855,54.30890881341462,52.52050069622098,57.64503616407015,58.18944431020549,58.920291194753766,59.321477484151764,62.01810248994009,59.35913133710781,60.6580099423773,57.46933720294054,59.128881408241206,57.80839874472809,55.22581569639066,57.08028350979156,55.209963810229304,55.71849510646652,55.43081465152568,53.38067269203227,54.52597407127256,50.4483898756188,47.307358770826916,43.789745525933,41.9081268064831,39.04688983357707,40.78396814963292,38.26608483664791,36.57367038227795,42.3458334487981,41.354757520665856,46.07066620498354,44.57515866034762,49.804916576339366,45.86276311637003,47.28130677637583,48.46309223541403,44.482458679656354,42.59005192046837,39.29351973461447,41.51991619544747,37.98350544662521,41.25291992208135,40.89189956801994,43.29109863963931,45.862980943767404,48.283327126123766,50.87595439922915,47.21516706504789,45.04785396204088,41.84814127153532,42.30983492613812,40.04192023817423,37.15195159771117,40.771074571609795,37.148928299369175,41.49444311541345,43.44973629664037,47.40439464549083,48.049104005666585,50.98439501344935,53.74350712168482,52.98305217191551,51.59969726740916,48.25042635721133,47.84732382201647,46.87296153292712,46.32490305335787,48.45349550016867,51.305868513901785,55.367338945880874,53.02107865951157,50.590819980477924,52.82834452173862,49.42121426482334,47.02452307825706,44.084396090925715,42.65733627089915,38.244202310706214,37.30880360918039,33.44161100643816,34.508737888558656,29.55362615953521,32.24068713093422,36.157247393908115,37.61430636179035,39.4630388313257,42.24953815894505,43.809546732136795,47.07715908516677,49.53056177357651,50.56301948753495,54.17078988447819,56.47242358606103,55.486695225698426,57.19973185486223,59.95044830932347,56.97242149202307,53.94567276531576,53.09876739170615,51.07328324776277,53.08415566883082,52.48841831405915,51.995849665639476,50.812702089707955,48.75088520648353,52.65399445982486,54.823135490207015,55.066916019346664,56.005045924055544,51.22116823552172,56.43303339475583,59.641734696112046,57.91637182030807,60.9729366155925,60.104526285761835,65.16586015744224,64.51252204686823,65.58316121388289,65.64093420923282,62.286464678027755,61.38520658916816,58.60515091908151,57.818402128503976,57.07629492823968,52.793708425023695,51.766501337248606,48.09867983598869,45.46552944503263,46.13892277854276,43.22085107783006,41.0480693930028,41.65956129396569,41.50878016372113,37.24766605974603,36.3331126996416,38.01431049866123,36.5655277959641,32.03973235143702,32.708740501562346,32.85079722054618,29.153385420218,27.983725253156106,30.26624369650011,32.765823246364526,34.582604979413425,39.256947138014276,39.46647194973503,40.236821190052474,45.481453258687786,46.44892170203976,49.984667742787884,50.21209798427572,51.18211097226334,53.84424211093966,52.17458210519454,56.93288835700949,55.80923803003747,50.89217020733399,54.00254145642877,57.95324869553981,54.37273095629166,53.03367546210018,57.04743340645062,57.44168189010856,53.39711013232589,54.06986316032239,49.23927918548033,51.213312454059256,52.903937871134026,49.53070711853457,51.12085508125271,50.57998037589756,48.89896269953505,46.9985945862187,45.803283031712155,44.68685155272851,41.63965718821581,40.4706532232317,39.27027742014917,36.47071605715487,35.20900424997197,37.84461520036427,35.49992845602742,31.246146660205838,33.893466110188434,36.863437213247714,38.42110304747401,42.102254410915805,43.35883885281428,47.26550447868589,44.42948656242753,41.295400417956074,46.177910546549484,47.05432790466888,44.04357653141539,45.37522996729671,50.457918875748504,48.5881106268498,45.22241946022322,49.19872484213686,52.567938775163014,50.01748227237173,47.30592403193008,42.98612412464088,46.4416695584584,42.6690910696513,40.54669528785824,36.79106075663424,36.346514489693014,32.127206013298355,33.57845660598048,36.549040105181355,40.195479300136284,41.40752388247956,41.570616775993884,39.41416068758587,42.88378812387539,40.56602268628968,35.73316619161078,37.321127401228296,36.55503819892586,35.261779833929424,33.62326820757463,31.030809127017243,28.822913739435677,29.742783623618237,27.58009063785453,25.618714499712564,23.219755713462806,22.53245403676511,23.07314942003955,23.988577857057727],[24.09750492439034,27.04889792969582,31.51382351826611,31.35571188899089,35.82288971660929,30.96605682906206,33.876195539350945,33.71324680982759,32.40884223539547,36.51400826309817,36.48561117339862,36.01329325648349,40.57912584185551,39.769119038392446,42.22996604664938,44.10658037803723,45.98130769067081,49.97674607620479,53.991289798291774,56.1888018451075,59.844271617128165,63.621171190656064,65.1646789688842,65.4904930861079,62.59182524308211,58.39680274092695,56.060206767527674,51.8086418966055,50.49304641298614,48.01328130288377,48.82327332144772,47.025511505905335,48.0937194349762,52.75848713341057,52.5840845345081,53.208850011780456,51.710211559477855,55.34549029310283,56.30965069896134,61.677041535671734,60.735509067109675,60.87728863090576,64.67446689609393,65.53273508232436,68.49335565009135,69.08227089035078,72.79327854532427,70.0162182382397,67.07242427845452,71.93263246153136,71.98413830579143,71.45649691668352,71.25737457579149,66.1566584023864,68.2057121672651,72.18393391979805,69.60065217320994,66.81668889954656,71.0426774952144,73.16422793363326,68.9585440617877,68.35000344572937,64.9137637028797,67.79596793221295,66.95136598004012,62.711551773348376,60.02636176204075,55.8216393847789,54.10236005068938,50.07097521094146,50.387144190608005,51.508914508255394,52.21872831946848,56.79773620926733,54.85170792939555,60.00309161730044,60.30553790254972,61.00477644669891,61.21760924032948,63.76944269873419,60.905297737823986,62.02886792746406,58.64057338189811,60.16062409212931,58.93178772075514,56.53377086016239,58.64697737950435,56.74541170085257,57.55185951342111,57.341392035221006,55.48934548013038,56.83484782961873,52.758190819663916,49.52176628716879,45.96036875605392,44.27361235814155,41.36039960054912,42.746781858495474,40.02982973968211,38.00918281724248,43.78112720398822,42.31148061158546,47.17686550285059,45.276960276255046,50.31033142419723,46.2782087323078,47.33838109370993,48.46381275262714,44.44742817432607,42.7473983273025,39.57338266536481,42.18569392842201,38.93807341555033,42.363109901086055,42.40872770538542,44.829214012111045,47.59767620830103,50.01526133502288,52.90327884130068,49.25384580480956,47.11873655428156,43.81794745423764,44.085979513723515,41.619854153958556,38.51804633620021,41.78764603670225,37.79505151070616,42.071322325760384,43.770998493360906,47.7193121390658,48.15313880643045,50.910609840548226,53.88711937405244,53.225687401347265,52.00500476171609,48.867332456496655,48.26091599994094,47.67855756895037,47.4011777233234,49.64850590211771,52.711721061528614,56.86276223900533,54.63217045776757,52.05512130766217,54.276599762429086,50.912509144529835,48.444179658363296,45.43672545896018,43.75409552915117,39.40039944378741,38.10524704826371,34.47654521259114,35.23187154151715,30.431232419003965,33.48629918199028,37.28798076990027,38.902765840868305,40.403293457315065,43.48265820433921,44.63793260266639,48.01852665187654,50.76935795911634,51.7403789736868,55.33129445236008,57.45723148261824,56.45567423465808,57.9014301874554,60.624578730350144,57.483538992047265,54.648897797073786,53.711208076320624,51.903926668544344,53.90358231337266,53.33247962131383,52.95091542477675,51.68716271180971,49.91709015543054,53.642419087359,55.82572335340592,55.84637836431058,56.78803926821593,51.79915415729148,56.86263010549841,60.056084099531525,58.492270458953925,61.811241271892605,61.191855375568124,66.1647879934275,65.5803747777826,66.41570097492513,66.31888791832083,62.91576088297809,61.795096827819144,58.89041838292043,57.918352879417554,56.96265725399437,52.73019094429734,51.48042959984295,47.67075926592376,45.133134949144186,45.40667407529639,42.56417855348808,40.628168050007005,40.940069681638626,40.509564978299956,36.460839085784364,35.66807753913481,36.911470369148056,35.29322860832013,31.079580309806556,31.52126141184366,31.310872418622193,27.84247683065855,26.810898669144667,28.631469204813754,31.351877934257118,32.68684389454065,37.721094860594434,37.96498433852376,38.440255474278864,43.632217029677875,44.313183599553476,47.97553185944863,48.30571219614833,49.51204837936571,52.26400768135627,50.8644048357434,55.597414484485626,54.33702666861042,49.681662515529304,52.924080959080804,56.777641550673,53.227214425123066,52.116247677853046,56.22972235428061,56.48467030424633,52.50692219288135,53.546670285843845,48.53769109550267,50.66561452362467,52.1341970190898,48.57427642544101,50.27014304524173,49.47205782983124,48.14390294071866,46.31079687389681,44.68914128907623,43.65644015261044,40.89251957697553,39.43378317902448,38.018402051010305,35.34056521589969,34.05633649746086,36.28999545587481,33.87482666575532,29.79203509264044,32.179871550898056,34.926177796064884,36.626030876673035,40.37406198348771,41.92675824072126,45.68361416744548,42.639200473561104,39.85776459190326,44.81642263296305,45.46656208907212,42.50923601270791,44.193362299698826,49.0377523283636,47.05675130759491,44.00392105051963,48.134681671391014,51.24462605795355,48.65537075055528,46.1526682013865,41.99433900453347,45.316083231625214,41.6845122075064,39.22230046941141,35.820223733501614,35.36780836208575,31.387214339019465,32.99293898651534,36.027412221304864,39.61747205043693,40.98500553816227,40.94255693696915,39.18397805363642,42.66992708750317,40.7162986454169,35.483638419523636,37.11988247215864,36.065492527447226,35.16342027724954,33.62499798457738,30.56436604925014,28.627897557771476,30.106639593018105,27.42651530912743,25.147584811862448,23.21742181925389,22.90819346232939,23.532453069785305,24.521739668093684],[27.191229688693713,30.222629691008915,34.85328480670045,34.65833997503277,39.32521447924247,34.57685092870079,37.51858651205663,37.45778260756727,36.04946133827293,40.070968612829994,39.987558362637394,39.60592311932481,44.18799490702572,43.216387082481404,45.67178279653532,47.64616624905273,49.50747793743942,53.449138507250304,57.385329676129736,59.697550258018495,63.2883289915642,67.13184099423415,68.59708636301843,68.89957767457656,66.08024745068339,61.84244381516519,59.596082185500265,55.34616591735086,54.06958606376306,51.649239011531705,52.294466389099725,50.638629953367996,51.62375767543868,56.254335054839416,56.17871555712988,56.79619522850124,55.39394159033126,59.00241853569428,59.98133581404354,65.40497519338449,64.37681297546838,64.46835270804044,68.30234430097772,69.19733021466674,72.10840285458572,72.70803483845583,76.43317246810294,73.69239595257264,70.77800879038537,75.65355417232095,75.73695285247685,75.24970881720544,75.04092756458455,69.93479733208065,71.9717063272397,75.9268106749795,73.29893306282757,70.49524717444454,74.7172992783475,76.82448195077932,72.5609379724375,71.88624238545259,68.4238852031503,71.22515830219417,70.44498783079635,66.24151933982476,63.41806644047829,59.23656190909195,57.39531050625138,53.34624492732679,53.570443896893785,54.537719511659766,55.3710170247395,60.004410131562594,58.18275042397384,63.3080943271521,63.76194356633527,64.45730283804575,64.77211056118264,67.39129964510951,64.59043168068438,65.76468369934723,62.41484271522126,63.95303122725788,62.698188749328665,60.279500623041464,62.32699947254562,60.43345298235103,61.14124728014227,60.87311880891873,58.93940555244737,60.15126765635336,56.07409648431931,52.88231608952233,49.37538676438365,47.55625015414952,44.7015098258882,46.248056087753206,43.61885358699483,41.642085913909064,47.46270505888888,46.081772307905965,50.95106365026485,49.09452635936393,54.142658979610324,50.082242872810156,51.110145195413416,52.192104338646,48.144328104716884,46.515386428656534,43.31513475057806,45.93459568494283,42.6507659002927,46.00927218053784,45.98761980920525,48.32813057453246,51.079735555587014,53.407669929474935,56.240632598760634,52.65333530204127,50.44243137230828,47.190988418507715,47.41498792641752,45.044562806388946,42.023071368389274,45.344159866828896,41.4432219162732,45.73351474411824,47.44646120509334,51.45187164870021,51.76785985446383,54.5516151806141,57.537378384928424,56.96159683843498,55.670131942237816,52.52963283829341,51.79166087033617,51.20403379435383,50.851963852900965,53.17056684400661,56.09167933376068,60.28478939691851,58.10428317877648,55.58642543800567,57.877821333328264,54.54680630496278,52.06612718969543,49.12114728650135,47.4980952013204,43.13848250202958,41.90612313135982,38.25490125812766,39.01513613975726,34.14497261178889,37.16632863212173,41.02560798532237,42.6443645038651,44.20317421360824,47.241983662653055,48.43985202863557,51.7670167369731,54.49592146606549,55.3952844755517,59.03693940701685,61.11398622368074,60.007446737140185,61.502990821326314,64.1444790229566,60.96921474996994,58.13644298556446,57.27626661085052,55.50439476085973,57.60206781651219,57.08538661372691,56.730128535428406,55.496606078229796,53.690800012039865,57.43995378422827,59.62047523154934,59.66307505130094,60.56917969481708,55.59273117481843,60.633778309594575,63.80535127953046,62.22350857436231,65.5543962738939,64.91601386661117,69.88002239254249,69.21841739175579,70.0896628410222,69.96065652213849,66.59342729859472,65.4281887867438,62.5027303107354,61.50844235515722,60.48105335619386,56.22682942192123,54.98465392977696,51.106326289880755,48.68724000525472,48.8392401922759,46.09535265831219,44.192467224441124,44.31102287901645,43.84899203591315,39.91585155156227,38.97916588683588,40.09164500576746,38.546683935307875,34.401580966045884,34.621428842721116,34.303820998838006,31.05811831307563,29.877052711494372,31.368960795660797,34.13028207964343,35.277049016094516,40.2859312398191,40.76720507354595,41.12504294010521,46.28172784135967,46.68103841487625,50.50823023786569,51.05806302540189,52.445481609310576,55.294334362339164,54.09048440581183,58.78479016565684,57.37162663127948,52.8688505820836,56.21838927728954,59.95084045543539,56.34620378636021,55.38383629608968,59.554116483744686,59.617195781585316,55.62922084671633,56.891286524768034,51.86348553330057,54.17694457169323,55.586334974581995,51.98834483445621,53.767145039736235,52.87122722109534,51.69974491152176,49.877470650348926,48.08200833869997,47.10153536408672,44.46431607787785,42.86688750861857,41.36383920032417,38.75493368806851,37.44777309920184,39.44810218558625,36.99817671421364,33.037233546785764,35.209496921272645,37.782489948207484,39.549171295703566,43.36385346273258,45.11713911499741,48.74875552427445,45.51521394273402,42.94127948302949,47.95241123415032,48.38299665420877,45.40889624599084,47.29418999081809,51.98814919386239,49.798215391465014,46.901499974432355,51.16356873535214,54.07299561602105,51.31731625053044,48.90750853772823,44.795270341106395,47.85534117657015,44.170300990984266,41.661000392212834,38.473905730234414,38.29494223230916,34.46837618243287,35.83475544344713,38.98803625505921,42.474478273143944,44.041171876773646,44.12621115710769,42.58944490396726,46.17041644702365,44.29594340027123,39.063438605999416,40.80068067338772,39.702053601675736,38.913441174966906,37.3344692797407,34.18523653454774,32.356680949979996,33.85466557478014,31.004200433150693,28.75966500290627,26.957267107632553,26.676928307406424,27.257831357648534,28.21260983801284],[26.241587396644622,29.09795317190251,33.67415663949198,32.841027306344074,37.82974644078058,33.00760025408648,35.78689561939184,36.06503871544864,34.1900934653605,37.92019659033832,37.815112635459556,37.86841670144356,42.25429131689535,40.82763608779953,43.463391616387945,45.66339050959915,47.293887187727705,51.15385491676486,54.829416097346034,57.4180730498549,60.843326008798165,64.82580243900689,66.08175746667465,66.28112779161424,63.64456831212638,59.31603148034161,57.293275513741804,53.061113758832,51.98076608961009,49.842625621040916,50.303025294407945,49.08910075656759,50.182759233329065,54.69487866799297,54.610807695241114,54.95986384595723,53.8644803602563,57.15431952470711,58.11352047127355,63.758469073714544,62.367605842467874,62.3371364402763,66.30975719485497,67.24128466283062,69.98960251744656,70.62488966978236,74.3953878366398,71.78174253760588,68.94894601359715,73.93609961184626,74.15064526931526,73.85885227452492,73.63700713000094,68.48959165735502,70.65400481883908,74.42075012066077,71.56236683079396,68.83864709262004,73.11349353872855,75.00359042603328,70.56774625802171,69.89913576978327,66.48070845494956,68.99043249895188,68.21917774219773,64.12887314333463,60.981558249163434,56.9117477526054,54.75089154966176,50.761550258377326,50.75516820440566,51.566333074635494,52.698107548951285,57.36183431129047,55.86778113388771,61.137864465376715,61.72787938975536,62.662037146827956,63.06332231339665,65.71856190746225,63.160672338372116,64.33755892103602,61.28000123499973,62.790429561232784,61.27476400788121,58.81585722678841,60.62958657728332,59.00460843517375,59.32704946328272,59.275203009711575,57.055656169907294,58.182231060863074,54.114435634565154,51.09314828701371,47.46842907848634,45.56615121932357,42.57528763354648,44.66273572188421,42.181824353275495,40.76982648001916,46.38185177564919,45.417204496970236,49.99792218296578,48.40875882960646,53.50335865923667,49.36270857700984,50.74323856262584,51.6613787538342,47.53085945522438,45.92720589745564,42.43506220939305,44.67793017409299,41.10107742420361,44.16332798402604,43.844049121057054,45.97269979979884,48.653057832725835,50.77764875859753,53.490457768502516,50.081327727931686,47.69394189230561,44.54912759893615,44.68561259120709,42.54279083042596,39.76320865295705,43.350781561726464,39.93162350060683,44.30017304630682,46.30650094810001,50.48488900173447,50.72975005742369,53.82132483124819,56.52963572399279,56.09437961784735,54.39454032068933,51.04677826310459,50.236730705309924,49.28871478793772,48.61627274001337,50.9825145973588,53.54335030015648,57.762522135222966,55.64235202541199,53.295707474697856,55.75997955051901,52.54316946555035,50.03176436567525,47.32272156996711,45.992193656845416,41.62788960621569,40.88438107973388,37.193249105791025,38.53631259904496,33.737546165691974,36.43451065177321,40.24779059612015,41.475959917026685,43.280380501398426,45.958103900303584,47.35373551856922,50.31123633745841,52.86582786340968,53.515038641609884,57.31050443400579,59.32852274527902,58.00221779641174,59.80208446157435,62.316690978111524,59.23817345402887,56.230654208633936,55.58716537357836,53.704314584577936,56.042004051512706,55.689118909021786,55.40706668932698,54.44496503302503,52.43162081581153,56.50641148212337,58.43993122572397,58.70699880816816,59.33157104334384,54.5909410303703,59.673842987089635,62.77372993425312,60.959938576766426,64.11523815629548,63.27097628452995,68.24873345370231,67.31084315980236,68.44716397640944,68.3796028615187,65.12955219114475,64.07178317042431,61.24319345296647,60.430698187791,59.53501257061581,55.15227565735711,54.23371111514374,50.42624277285766,48.116260118371414,48.66750311260553,46.048072994168166,43.78248640515972,43.96491508935296,43.965293186041876,39.87346206459298,38.42534198822592,40.06035388899544,39.03529741878741,34.34075797685676,34.578750657122214,34.78575053384263,31.459857973301993,29.740875697587374,31.638570797670226,34.054043959197436,35.933551128505435,40.23502517493377,40.92308011839144,41.73830661814538,46.984025327803856,47.74291059838108,51.47323323254455,52.142575421301814,53.27551904789689,56.153382137534614,54.7437192857044,59.39186372329124,57.94899218980166,53.139121433837886,56.45561131173073,60.13306672109211,56.351594655103625,55.22288022785274,59.33593875660449,59.3002246333668,55.17704064198844,56.209876479225294,51.41963713941016,53.867955280244814,55.568158880307216,52.27689895300577,54.15088646079656,53.68575973556134,52.200426450089154,50.12925608518872,48.79002191653748,47.9778992642085,44.924471410091876,43.41963463977037,42.37165121624889,39.712437137175975,38.12492399530176,40.58904294508471,38.406910631780235,34.12748969275223,36.310515973123515,39.20893381935525,40.63727461974402,44.49761143600925,45.955578633525356,49.67120229431652,46.51090625317932,43.45024231702067,48.431526506953404,48.939524508124656,45.799118063277774,47.30856801883771,52.24987721306562,49.97491373661887,46.685034694863894,50.870495422389375,53.97792837622962,51.098579555810026,48.42887119237635,44.100307846445894,47.132169089400534,43.199438927998145,41.15965869793743,37.606678964511104,37.69647177552194,33.685882736514266,34.59921955378953,37.78898440352339,41.25793772444111,42.822213480553486,43.3374382652663,41.57897204460269,45.30387959869142,43.127833204081305,38.41725138174832,40.39034836410587,39.70916754561099,38.727524399077225,36.70387150628567,34.01623392447158,32.20716149656296,32.93388600685113,30.22649115678839,28.550919339506578,26.606567950410486,26.01641487790873,26.81329379157332,27.878523378214936],[21.250746548106054,24.21108939856998,28.935341628293095,28.44364678848876,33.453849991784935,28.985133307648816,32.10690685062031,32.61204723984282,31.231347405890457,35.17614163088589,35.528397272543735,35.610950285394544,39.67527621962194,38.50993187624148,41.506506782507635,43.48221495096903,44.84213560195447,48.95315052277587,52.625969907449246,55.042996589905634,58.58813991812231,62.41816694690181,63.76608425136007,63.80868479278676,61.01269109644313,56.770365089290046,54.5470101224932,50.3219519193897,49.433422323783496,47.30773882282407,48.449808363944314,46.89595010759577,48.379475953258634,52.984155722345044,52.50058432779567,52.705957529396855,51.30567777860573,54.43218002327442,55.14300629413848,60.62354830300182,59.252269948286425,59.6088593795803,63.57704499977631,64.22875768751005,66.94417171529659,67.32735906989055,71.17194803160612,68.6920988104663,65.58862439154188,70.46059625390753,70.87197670763156,70.48596688565777,70.4810274920287,65.32210112340374,67.75443062852048,71.57282031342756,68.73610034979394,66.23883831234076,70.6170557920145,72.38513014757228,68.12480302290643,67.80475706334997,64.53044610995718,67.1397475249227,66.07684261787055,61.92028247006892,59.04252956996492,55.00041445125266,52.95588972198603,49.120232829349014,49.154926255979014,50.34206280731438,51.42493710810433,55.94093920872272,54.31900074749544,59.79279159071054,59.92678519153695,61.01736096333642,61.06664294937083,63.43963327988249,60.672251002275964,61.50603536892041,58.3304405067792,59.55868646837142,58.00085986087625,55.836783195534345,57.94941461199388,56.496514223675184,57.091602534995396,57.41694524365382,55.368896378424715,56.909530324567086,52.84221261720069,49.751460345347745,45.886328526763144,44.377014293388626,41.111727450837144,42.91792944743727,40.142048436420005,38.65196819208452,44.02459192863866,42.55490668492224,47.114891881714584,45.05717605685638,49.8576249323442,45.51050729204996,46.650748929307944,47.36133756681608,43.139225544721434,41.81335771764382,38.29228802299377,40.817924565845196,37.49110967753865,40.61519368505124,40.780599259123065,42.84564759772263,45.814696798180144,47.864450801227264,51.039384463510316,47.72583682701618,45.319134579141895,42.03138811127073,41.81888487445987,39.43162969007936,36.417729034050296,39.60756393983375,35.91068764081682,40.217421831506314,42.04660568918329,46.30541110165771,46.255114264788276,49.29705023506194,52.105223930771984,51.87400315028109,50.155096226520094,46.978852945192685,45.90341335512928,45.29820126391651,44.877710715927726,47.41132166416445,50.17081998855477,54.5169898015287,52.58927686955505,50.07676674040053,52.590716459688004,49.50952129488592,46.86177473316541,44.18330808763467,42.62487886159677,38.36101109618618,37.4055288965291,34.0972073498588,35.466200184248045,31.06824310304989,34.08501336233561,37.60909587259027,38.73571206676051,40.13148401793537,43.00214672980887,43.859850770126336,46.724774884465084,49.64149545895391,50.03932533742323,53.89328990086768,55.6159397699622,54.178519551645934,55.745296326975094,58.189550269747905,54.957759487237695,52.1200938834655,51.43022281963399,49.77784246433886,52.20461195553355,51.982716786905875,51.92679850748339,51.04604523791319,49.367889629790426,53.412701164478605,55.147449328991236,55.22246035803565,55.63441610375178,50.754937006483416,55.64244168612012,58.67082945026569,56.94158368857279,60.371000679749216,59.78468440610768,64.6294459423171,63.656972137411636,64.58355848520787,64.33877034574685,61.08108643178585,59.79532877328622,56.865207788193246,55.9258708167478,54.8645036001265,50.47855453980151,49.471355076719604,45.57131822106989,43.408723887894595,43.781723843311575,41.32131854846894,39.088137829074235,39.02190487208529,39.02276363572014,35.05174648058838,33.46472943881958,34.984936219328155,34.124120354942654,29.388696271622628,29.473210580531408,29.71250650816816,26.526662745917125,24.650565580031596,26.46618281111655,28.851328133234524,30.798499110323455,35.013345822484254,35.71646705107843,36.57805221723226,41.81756939628874,42.687189057469034,46.365942784163735,47.10437532580459,48.21525922867954,51.158285863497404,49.8269840764822,54.409583481544665,52.86456781228321,48.08335690964478,51.46933649959267,55.03967715030831,51.218011489741556,50.175667262524954,54.33706543577547,54.171908309139184,50.05898415525136,51.27146435526145,46.429648531510885,49.06527372912875,50.71219861855325,47.44595233029728,49.49209848389455,49.10004535545688,47.762687822956075,45.573946343188624,44.133739375832995,43.57725999905857,40.50295663680916,38.7504072209052,37.87969630120805,35.34314294958511,33.481030706827354,35.91841781436763,33.94886520110292,29.596581425388166,31.51302525722357,34.47662095335452,35.73008849843088,39.64287834941271,41.10847168077983,44.7413242248703,41.508252022751705,38.39988122820523,43.39358566457607,43.80513646376055,40.633253907938844,42.17729401301184,47.07321277208078,44.75121961319712,41.48608514068975,45.712263083252466,48.76030728158521,45.87761140383985,43.23493200913161,38.948243202760125,41.98735321894138,38.13043686720357,35.99433790331239,32.50165757384396,32.55474034522217,28.643303679956002,29.62196413456877,32.81866801035658,36.27364907024539,37.887128722337216,38.32184086763807,36.80595885344198,40.58511094371706,38.66375925739668,33.79151477410718,35.964738363119224,35.25389200547619,34.613409881922216,32.390576408416635,29.494506743496707,28.067237635683803,28.915314477919686,25.667401259602624,24.041924868099,22.607224751947353,22.293276769300807,23.392535245368354,24.73836275356249],[23.259307092571444,26.335852211840525,31.333586451262534,30.955930591020827,36.26728349373686,32.244563462697414,35.56338580135768,36.39059894867616,35.085627704153076,38.951451360591655,39.46750279931003,39.75052369872252,43.61734332853056,42.30187264113564,45.50106019003696,47.520628964897995,48.66434771697666,52.806241362208226,56.29416497309426,58.82325485559419,62.298891831102104,66.15309471656309,67.39311208975535,67.28102657385459,64.55422109425886,60.2976379030949,58.14274549453549,53.95360167056008,53.27411479702367,51.29753278881605,52.552127358245684,51.086734483328335,52.68042261852622,57.25802264675329,56.69501398796276,56.7633530222332,55.38340941369596,58.3097934863481,58.884536751990154,64.37493913355854,62.81708525426807,63.310764882877706,67.34369840296645,67.9167113493486,70.50842037478996,70.77791837953997,74.68634212788453,72.3578150690467,69.17003577443518,74.00970276705576,74.5967960512076,74.26542905729731,74.3732084810636,69.20679081252997,71.7696062666796,75.54476083719898,72.62110259599184,70.23073931429963,74.67112140404143,76.31292859423026,72.03074134829914,71.81777851604913,68.60508791148919,71.08943163709282,69.9545143303956,65.84641624200177,62.864747715925574,58.90552938619015,56.69245893440704,52.947980716190266,52.82752015885929,53.96321934194487,55.25429182143172,59.756058128933844,58.310257151447345,63.87543256886254,63.99837027777034,65.21376625246836,65.226650355571,67.53978841430536,64.78777578827322,65.48616190858365,62.35505791154591,63.432042473409226,61.7687676853772,59.75607377182811,61.90101577237585,60.608260710743934,61.15277484428451,61.64733108856117,59.53357889159155,61.09493035698499,57.03868454743156,54.00572446126211,50.07612181645003,48.57741042124317,45.23624315150154,47.19629742483525,44.41425168757535,43.01829856295491,48.295400851101626,46.730840160996976,51.23490743362432,49.011448665589256,53.6562848463672,49.14281893433402,50.129277845900894,50.61924215470618,46.298957213702764,45.26237714910568,41.66682797456816,44.30990222199874,41.06359961673586,44.05628435722926,44.3610701166912,46.219406373672044,49.30587770272298,51.12259451536228,54.451863934483676,51.338829195644074,48.789443132625294,45.53339885486586,45.032515210233086,42.70589241308926,39.74229040880529,42.77876235417834,39.15593818043993,43.4203455633028,45.18746452733449,49.59471945294172,49.152111414573675,52.23726995102128,55.06792696998755,55.1277245028754,53.227716517154526,50.142841795599296,48.67803202943184,48.22943666675722,47.79985031813753,50.54196744520349,53.121973895216556,57.60017781798685,55.891002989639084,53.41079648030538,56.082295929490456,53.166264742204355,50.425609686476115,47.9092463406884,46.358435370844326,42.170532444790815,41.25188329678578,38.1432767757251,39.588281533483716,35.31586472009648,38.41975938755522,41.860908844097196,42.88629701292642,44.162548859086115,47.027373036791154,47.65926952947026,50.32194597370201,53.38262176568017,53.47796595124119,57.45258050217466,58.89375633957066,57.19522906250274,58.73318401593645,60.96269326742163,57.60712979740888,54.86722779546781,54.31788185297306,52.86239247139661,55.53004831441826,55.502163061594125,55.634023432638344,54.889862726898585,53.330678826927134,57.42939351598792,58.99922740905162,59.029893970606,59.212302910800766,54.32291887308273,59.04299901606566,61.96992331457588,60.23351068483161,63.80564307063499,63.321938233600534,68.05982254193019,66.8968953930234,67.78724987883047,67.39114634312007,64.21211051267011,62.73425041245048,59.73229392136554,58.70643091952581,57.44358154492563,53.02505355765962,52.03399570202805,47.98847259936047,46.14400666815957,46.26206362035021,44.09617213318075,41.897282872010855,41.36316093537951,41.38198818431312,37.67860589466144,35.70850363832249,36.99760666243186,36.44057736794667,31.761954158059485,31.37988340297776,31.526087795929676,28.820932694300268,26.5575729848071,27.784084189610653,30.145353016174294,31.900190304612146,35.87021594305994,37.026972016219496,37.78976356325214,42.953807596086605,43.488477845746665,47.38067120050995,48.561837250749974,49.911727166934746,53.05776391467896,52.07050549792528,56.52102147731137,54.655344146435134,50.10331834623141,53.69723256510492,56.975700907672824,53.011389240076305,52.250677683662204,56.507675903942946,55.923255498348205,51.79227458530728,53.450748644970695,48.61039384942941,51.687069192076585,53.24457915829816,49.99159308325595,52.29075794956818,51.85953707043974,50.81761389001648,48.53898079167579,46.83269214650952,46.54858878905545,43.60848356082457,41.50066162909895,40.6710958176139,38.31915179355063,36.219143896433295,38.32381433114598,36.476278252774506,32.23463311856655,33.636533198451986,36.400206761627295,37.59013565563839,41.64115777830509,43.38895451790112,46.76560730342778,43.193785692266914,40.32734793720152,45.39084986238771,45.38289511951777,42.14714380790595,43.98161139158033,48.61409829504849,45.898978694833374,42.86234104682089,47.30326414410992,49.98909214815359,46.805473995469974,44.31309730405423,40.124875170945685,42.685996973203764,38.78092445447771,36.5820982784237,33.4790142333345,34.030909416899405,30.468052785034633,31.004557587245706,34.378235791604205,37.60067684335572,39.57941657214169,40.241917530175705,39.23548384987477,43.19899430372487,41.54092265762502,36.68210708555717,39.14458126399829,38.404454634329376,38.16285901218039,35.70498626652207,32.62108746260831,31.61472888174201,32.48453869775683,28.730243851426664,27.264546325732994,26.282144075303588,26.183840618926904,27.403197939045427,28.87056954799091],[26.44985635430434,29.275529998555516,34.05974690528623,32.93518269403866,38.43512949448613,34.12697214866795,37.07284402696897,37.99207015538591,36.0305117008046,39.51359820647599,39.71944860786805,40.30764208261488,44.20940092528114,42.38579950835262,45.47337621511699,47.79763668431166,48.93633836680796,52.83378707554056,56.10759400409074,58.95817663279439,62.21578260400752,66.27136330071987,67.28394488827038,67.1940062554596,64.72402228695073,60.347082371511426,58.51242820574502,54.33751508948635,53.68385544285966,51.92127676829262,52.5854396545754,51.67844838208291,53.08919612517499,57.50422298689421,57.1976796824169,57.1591568685465,56.214254125323045,59.00103317102735,59.72599553359446,65.4825414250204,63.648338763656625,63.78655132338618,67.91710380839109,68.6850610712441,71.18950863997519,71.64717986430642,75.53333739082638,73.20447686281298,70.24629294626645,75.24324720733686,75.78067440353252,75.65553645692822,75.6076114071328,70.42916487928152,72.90153125744136,76.51312525180158,73.41727093924199,70.9467841054876,75.34378129374764,76.89805851489251,72.38572496530861,71.95077673318899,68.68369798158155,70.87904864510779,69.94719999895332,65.97520616506397,62.578272430993394,58.70009897921775,56.17108720550999,52.38850658284331,52.05903725483355,52.82126915161548,54.378161595202194,58.981224334570506,57.878757903451515,63.397507451110535,63.92261734332367,65.21095583517254,65.51932089144522,68.03713861557449,65.62113000150238,66.55116764688539,63.723960113170094,64.97071592124537,63.14312307272299,60.90244738411305,62.67116342109016,61.470269431212515,61.539320162213734,61.94496254324793,59.511562160085944,60.732314794461,56.69627585546111,53.85253201325656,50.01050471550786,48.2080501470908,44.96349015543471,47.49000143981789,45.02125609808457,44.08475878375309,49.34611139464895,48.41757300113378,52.713293431012566,51.003892562692556,55.857271933795325,51.4566821365955,52.86652506456582,53.386907156528636,49.08520313437627,47.8700415622699,44.09484502551356,46.25539124468691,42.633947110647355,45.35096779993752,45.10731787905318,46.83598534822956,49.66392577721151,51.36210591166933,54.28383567944068,51.26038093735089,48.59556123564758,45.53082631893801,45.186501758921985,43.20916585283318,40.60237835592952,44.098090412242726,41.045077459358055,45.39194686900956,47.49416433496587,51.95598539315467,51.67916932545759,55.01977993538429,57.56373134869729,57.58076043556092,55.39713337607813,52.03977533444445,50.71465407417615,49.75531215846691,48.909677167127164,51.567416964697244,53.721493245277664,58.118415177703476,56.33671578276606,54.10990679372563,56.87734422789705,53.96321520935273,51.300395900678254,48.952377650946765,47.776618679972174,43.534895701605215,43.121343806402976,39.73959920684167,41.57271918506157,37.1344437153292,39.7595753238076,43.33865493983558,44.14860653479065,45.86585192708102,48.32767154164528,49.46335164030776,51.909364419274446,54.58931103620327,54.66364663836935,58.701015361167634,60.301114614978005,58.50957752475294,60.440736700982434,62.61825117306862,59.45084717021063,56.46258657325482,56.114475170430644,54.41727265656116,57.19724547106971,57.20170088941473,57.234046650232514,56.63295729969345,54.70150236510814,59.05172650337368,60.572342370521845,60.89422058094108,61.017279324764516,56.40388251974338,61.282702834683164,64.2015788748368,62.2398451918278,65.48646465051343,64.6692025245226,69.49882919056859,68.14574644917842,69.38756051058982,69.16564700835242,66.07895620427202,64.84776528457773,61.998640243988945,61.20607432468168,60.16819639485943,55.659246061025456,54.9775660641374,51.06782371437729,49.196497116002234,49.74990655894135,47.557397856398005,45.0738600606031,44.78992913710551,45.15049770436888,41.2456372441533,39.02716115206584,40.79816763653629,40.48799884022467,35.460803813339695,35.243169476730415,35.763062468414965,32.87177318110814,30.39093824444603,32.02067325755098,34.11880522189608,36.378053000937626,39.85678739407157,41.114220880358474,42.19081868970327,47.40029768225572,48.14489719502418,51.96668052056057,53.1461809199105,54.30007767289019,57.39745148686503,56.18366816415484,60.641426611161194,58.851304070337804,54.05312683697017,57.54911162226445,60.86564076180437,56.82037758283882,55.86179349514487,60.02687106434255,59.4749691955726,55.25023356223165,56.584218788444325,51.974189045672226,54.99014955400228,56.802063708391884,53.76696857012424,55.99336410302816,55.823339898250566,54.441845157572686,52.07908337493929,50.792434723885926,50.43081580317512,47.20481334318637,45.367626085191944,44.7372148600151,42.25651988604718,40.17780740279198,42.64973321989739,40.83546625836175,36.43515867420961,38.07514112657764,41.02843660353833,42.100776318171,46.11595378989931,47.61422508960997,51.116292975687095,47.69148478381068,44.49820985535809,49.5014458404864,49.64884928138884,46.33279218986892,47.83245302174008,52.67729300260038,49.970246775018055,46.62169509250383,50.939964925732866,53.82840130953351,50.58330235349392,47.874488850730145,43.50934840411967,46.0523106876317,41.924930906612786,40.18935637171045,36.75714267565603,37.510501583931635,33.75555768494933,33.90373397622534,37.253579939160176,40.45753559825456,42.371627871874956,43.412601681995476,42.042182161259966,46.05289552392258,43.987654960923344,39.65706361962955,42.1281011533183,41.72607434324094,41.083374809681565,38.46000516669607,35.893696945225,34.62012384707815,34.83492163246401,31.592308245938913,30.522283044556932,29.07798074243329,28.555448742017628,29.720645351137243,31.00741682844977],[25.612782100867758,28.30475653996761,33.06051822115973,31.619926239720176,37.340111968052305,33.248251686494434,36.16820461834768,37.425906950555266,35.34538461287056,38.623232850132126,38.97629676623405,39.891295703648055,43.488997091784,41.42383576983723,44.74420509657412,47.13864871844977,47.99243353217193,51.88295987108319,54.92051154216878,57.9115852131909,61.06028193084532,65.14960778770109,66.02242385623681,65.78455172823978,63.41820501891116,59.02487550713005,57.301646994634545,53.18181852007709,52.76151044224911,51.2312706673833,51.985217110891604,51.288407105506316,52.88337091112764,57.21495034802546,56.77948200814799,56.50446242547735,55.680663060460915,58.159299959336835,58.768460266732866,64.58903613027901,62.49701309406468,62.694174116321406,66.9045705548566,67.62179816024914,69.97905565151827,70.38065973981229,74.31957827600579,72.13860214682013,69.16185648651788,74.1878437269496,74.89362619567339,74.86822002347218,74.88022163423612,69.69088112559292,72.3254609604657,75.80869417253498,72.56302122998001,70.22786756671813,74.68236392055363,76.03691108270112,71.47099346386659,71.15742258687719,67.9848221472607,69.98685033609696,68.96983910621569,65.07871039217935,61.54221281950873,57.78355805798354,55.056455201160205,51.4046283360267,50.90161609710675,51.65507892233841,53.42750069217226,57.976808938691775,57.095138012903675,62.75074956661266,63.23144650729244,64.73217585331233,64.98923092531406,67.42935598355632,65.11900391586063,65.9234143837299,63.27226254625865,64.38575159042709,62.37155689587732,60.23348211507035,61.929374915747026,60.98343258727883,60.87586243258592,61.55399783953988,58.990403993818916,60.270854221065015,56.2679289670932,53.542528213811394,49.577437398366484,47.8503285832371,44.4564004450685,47.254799903565356,44.8220889310636,44.235234514854234,49.23813063555165,48.41887641192845,52.486512310137726,50.8012265731069,55.54868152626483,51.03397897841176,52.557047727079116,52.87481796987449,48.5161869737144,47.456975550439914,43.51760976949861,45.509400000711885,41.81873498901003,44.29812837591185,44.021580800448035,45.522925234494906,48.38762833812953,49.858672648243186,52.847492067587524,50.03699836979088,47.234460892686855,44.237092761668514,43.66695263571849,41.81254008970817,39.35002878505568,42.84407684719158,40.09597658655777,44.41881673045718,46.631495841838266,51.21719675315507,50.735795838388185,54.24609167941488,56.624653317169845,56.846011491636254,54.367955510855694,50.96875756428207,49.44923687751426,48.379181235471314,47.38564499320283,50.15133647221058,52.05657743532725,56.51572184546988,54.88848138334605,52.75188385009644,55.664193549499174,52.92166009879058,50.199974610785205,48.071487974880505,47.036635750185695,42.87924598521475,42.733951051283086,39.50871799887091,41.6905427574114,37.48255977442378,39.981100135617474,43.39583649236148,43.914422316743064,45.633224910417695,47.89478281325332,48.95432188391339,51.07824015563464,53.75063378071975,53.52768624656931,57.68437092146618,59.088779900219784,57.07651024960077,59.13231436115488,61.14961325060247,57.99475009051778,54.974388095564294,54.79066013886286,53.136791748323525,56.13371705926261,56.32133881301814,56.50024490461992,56.12562306415202,54.18867614669119,58.71389218527246,59.985747165584264,60.3883357753924,60.228111023373444,55.759756395400565,60.547133602611716,63.362657710205916,61.28136002601496,64.50113099676794,63.644953376566356,68.40979357799264,66.81852413257415,68.1671495691567,67.90144796114127,64.92249232403636,63.67016536884441,60.85533970770163,60.131792284453226,59.099402408152,54.54581433289399,54.05426104500938,50.16888411985024,48.48798092300405,49.192207551404046,47.19683308174396,44.52936537269976,44.131043070434565,44.785124500726695,40.911076472391116,38.28763147984627,40.29333523420424,40.413717865601974,35.12604109681332,34.79342559628047,35.6267724822102,32.86756992577513,29.98666038935568,31.7086443806807,33.52363734038765,36.1882376857594,39.07927627107341,40.55205261434084,41.901065574463544,47.095081179617004,48.04625956095041,51.777484454910386,53.10362831959473,54.13001785066859,57.28334632709908,56.03086069658655,60.39262528323459,58.505907645347875,53.60222595095287,57.11024314944155,60.28532920973929,56.1190100098945,55.13803940214826,59.26258897957484,58.53852180319536,54.25503836004133,55.56961909472316,51.134912670224175,54.35299493736158,56.299178738190086,53.48850747010915,55.84794380055529,55.95158937710729,54.48031233603798,51.93867539625372,50.86698705549058,50.71908353002669,47.300421474770246,45.40967045520827,45.10215416811324,42.683168237763404,40.360456037457396,43.0062814418009,41.43965738740022,36.92377240045343,38.393661460685045,41.473529897267724,42.28135656340369,46.31506385422855,47.673974985587975,51.12858836881013,47.700265371267996,44.277114828844454,49.22439304033495,49.316841067727836,45.908389644758834,47.21636838298491,52.11117182007484,49.286042943660505,45.76343847148504,50.04238630286053,52.95079583258827,49.58664566885708,46.76733997012829,42.33181997710479,44.726397947142495,40.47551520954464,39.054481569036966,35.51642512964461,36.54672694431934,32.8344638791228,32.5716521082752,35.94306560686297,39.03342932088176,41.01888555389718,42.37085258122925,41.04691706830117,45.15712810899419,43.03616157216648,39.06161527504808,41.76192981333282,41.59492692297825,40.99939674727143,38.06026177685367,35.71704504561776,34.651082217343294,34.43854825060146,31.09414523798245,30.418655262706395,29.134852120917138,28.59296265119758,29.944198594779806,31.37326043649447],[28.931142526402596,31.50676730711973,36.08461392663706,34.33648568652431,39.99524429295086,35.63788652479873,38.27008818119853,39.39442436601126,36.94002758760999,40.002872364118154,40.042669832444105,41.001405701341945,44.747197536190626,42.451505694571885,45.53036839096935,48.09596957502786,49.08906872719727,52.76909293156461,55.749479898010705,58.89182612506918,61.91550010254693,66.1190109397681,66.88937606581885,66.74889794205036,64.53407531563457,60.08172305213242,58.54562639384667,54.43607657978787,53.91526458040163,52.431654233089766,52.69089568664426,52.30576678735016,53.65628006501918,57.881661894915425,57.709542572932186,57.48251284748874,56.922950945639045,59.44831215383925,60.228610802419276,66.17961348587704,64.02638169315783,63.92880512385861,68.15274527801982,69.03882485477692,71.38619528794351,71.95487930413637,75.83626621326795,73.59626482765535,70.81664066408024,75.92780948506146,76.52112887329513,76.58503186675063,76.44868218832823,71.26714439686768,73.75313438624104,77.15934453405386,73.8712774721537,71.41694531935393,75.7906708045416,77.18045729110162,72.48602101885794,71.9405101921181,68.68857593914476,70.56346454951283,69.75027306225836,65.93850373048967,62.17538208161814,58.43588149446635,55.586629729657034,51.85896430986858,51.28951132512224,51.75214763330872,53.60595777660921,58.2350548964638,57.507425947590086,63.027089368457524,63.83707756812599,65.27391956387731,65.78113651603788,68.40674219430268,66.29607305638218,67.33689385792799,64.82515916828902,66.12691498419628,64.10515787649268,61.75697515505392,63.20261411289418,62.19227463055512,61.827184572872284,62.29010194905061,59.56776316055818,60.54918415999659,56.568952849388324,53.94191216703722,50.13735737883249,48.15348127863535,44.93928978505468,48.00005343779676,45.80287739565268,45.3715147085779,50.459850819877076,50.04611958030899,54.059303489414454,52.739994111034626,57.67299048668863,53.31600966737036,55.065465281708924,55.51229159486819,51.218536402975886,49.9574933846768,46.0112011804472,47.740111194670384,43.85386508988401,46.239939083121655,45.58169683630652,47.09240477836357,49.71985830345289,51.210032329137505,53.83007849111258,50.99667428521793,48.200502097087146,45.34247419165266,45.01771397238251,43.380363736452495,41.132979533971664,44.9245107943416,42.445833167013475,46.80083461636495,49.174815005342445,53.70097121998856,53.45002251182723,57.029174355468896,59.28602483312097,59.36419973265883,56.8548744137592,53.306425537898846,52.00361540068799,50.63273882177696,49.42092034808088,52.04495012277784,53.75252237693807,58.09032315603161,56.33388234137848,54.35297611972614,57.238083574695246,54.42577300535588,51.81170831434756,49.70651830622793,48.87758093488109,44.672124110876055,44.74004943355014,41.27171677418459,43.51603484927789,39.09907621184208,41.315804353215,44.88345254651074,45.39913512107079,47.418213974055504,49.48091873597822,50.93413862649945,53.06208081024491,55.44205974612168,55.36497349151668,59.482223890037005,61.09711410285429,59.147613275024355,61.416281011799015,63.475710500367256,60.46675532472139,57.29924682032342,57.17024990008508,55.32614319971421,58.26926689240841,58.38031600773958,58.407423338071865,58.01930305097359,55.82542778635416,60.41416262966176,61.77725104409939,62.3454105781005,62.293842750897845,57.971758663198706,62.89985239583153,65.75422942217445,63.58050194512215,66.56418515325751,65.48708106403627,70.3362481311234,68.739296182676,70.28525271111782,70.17224733830236,67.22080975279455,66.15932232239402,63.4458927053622,62.854287498267034,61.983169787359536,57.41376150579496,57.03411691098586,53.248696255264804,51.451627657721865,52.3638658478267,50.24789017675584,47.50800792830274,47.34413218893156,48.05696694021971,44.0531361928201,41.51615729488941,43.688543318022845,43.724649750703115,38.392799802938654,38.231696456782785,39.11508286544382,36.18284282220032,33.417214164917056,35.323025513932585,37.12558197582628,39.853678020654236,42.7589846709326,44.165048258246344,45.55593167212819,50.77026508230023,51.75060983213538,55.46960686130339,56.702618637115656,57.668662101640656,60.75398835200437,59.37181025284316,63.78373160771772,62.00829432063368,57.009793686155305,60.432742333673545,63.70514142853257,59.565205267388414,58.4635582975457,62.53059455509599,61.93300107124075,57.63230869660328,58.7268099047844,54.37112586089222,57.42024747325277,59.45602407915317,56.67898924001863,58.90903810435349,59.03877064171625,57.39030738006052,54.89835733681336,53.99303146111514,53.67676038952804,50.191315856962426,48.514960826101515,48.15763204090037,45.631381423584905,43.46967811119467,46.2416811040543,44.562797368648575,40.029618773664986,41.737160934819066,44.854394853514926,45.73572166049012,49.72464534526379,50.99645806950166,54.55040572182815,51.22928964872123,47.734690060453936,52.65709492356845,52.88417015674464,49.48570364535497,50.67411133641683,55.66705753815983,52.92638502890175,49.30445249422289,53.50322041656907,56.5292711492691,53.205343395836195,50.31090777734525,45.81838601597657,48.26755310778606,43.96346127064989,42.68951085820242,39.02404204200509,40.017029624355466,36.186040705132704,35.908092588430726,39.219693826820176,42.334152939855755,44.21539794105441,45.63849118824099,44.05607668750201,48.10929267795796,45.75495980598009,41.97084208752662,44.532218487095996,44.450263206639434,43.55894715946003,40.71995874465506,38.600931287816984,37.251629723563724,36.85902739680594,33.94310057170417,33.28033727942464,31.642495613473997,30.852329143198133,32.036444247239416,33.29173076068268],[24.98903604907583,27.312354403913453,31.576915983920962,29.517251459805856,35.044162849883676,30.479921814228597,32.928756938269956,34.054373926486534,31.45819190337648,34.455785805632,34.5093675813257,35.55462467849839,39.213547986854756,36.90163398201634,40.03449776746084,42.58772357898122,43.53824098085196,47.24299330691987,50.256811222625245,53.36030707505576,56.41811911610834,60.60118243754477,61.41522518521384,61.301675247385475,59.036314258228586,54.59088366504235,53.01667925946881,48.89607969869284,48.36379440791704,46.901834060692494,47.2356310675119,46.86436018778974,48.31928126012572,52.52804330442312,52.26566441796668,51.97284234921282,51.42675917226246,53.90010391385363,54.68570280737722,60.654464781226466,58.50749320021603,58.38579041852371,62.60378040476025,63.50137552424958,65.87742374708232,66.48993170441854,70.3588610433196,68.07502642785296,65.32489396463804,70.46293227795304,71.01316495165057,71.0991987599073,70.9331300633979,65.75917472881534,68.24584847859497,71.62647716928589,68.32499114463955,65.88378263276078,70.27125634562307,71.640626424302,66.95046964369854,66.44607850552829,63.22161126167851,65.11745194962522,64.25299472579513,60.423639613797604,56.71434807590757,52.96206354375339,50.15776485962673,46.439920781517145,45.91316795255639,46.50437819290745,48.294341848507585,52.89498128932932,52.11003070209027,57.69906473777009,58.39326457149609,59.890784654815434,60.326085159999714,62.90639468880363,60.80841906691432,61.82396972181362,59.37608421522917,60.675882346528866,58.617104177590946,56.24683920125176,57.6644163281626,56.709686530170785,56.319783694046414,56.886125625482805,54.162715459947094,55.25657663971245,51.27631422557836,48.65465718530792,44.76120321749648,42.88259985309401,39.56362950251899,42.65693454968049,40.44764646270518,40.21518371564699,45.13865131367643,44.83593086614791,48.70813028669219,47.50084010503444,52.44810888464266,48.13966454920055,50.084219380121084,50.5547221014499,46.3134155170223,44.9389356010639,40.94467742911748,42.46141405621051,38.47637954130158,40.81378278893118,40.05680392454462,41.60634196982782,44.200760951282604,45.76647836484424,48.376349407931414,45.484724218424915,42.717597629882164,39.82582286685771,39.57608261812623,37.91719571155011,35.683365998045005,39.587067721371795,37.23159497827126,41.59935012035715,44.087652718331896,48.572456963945626,48.50292746007017,52.14742470200094,54.27768169207905,54.25138639931285,51.712774469894775,48.07105060220061,46.96918681031731,45.41891917787842,44.153711030061565,46.67432694682304,48.44203118175583,52.72464288311623,50.87819569657172,48.88675522519223,51.73218227968175,48.88895713981512,46.2958187196649,44.19189957422785,43.43081536085344,39.2333391417483,39.461730954141,35.992801177520946,38.463352229827215,34.204470149017844,36.237254038381096,39.69604280292007,40.04295031750224,42.124131068039446,44.052122036690214,45.58888845326749,47.64957956449254,49.94049622061213,49.90674065602538,54.00127383151908,55.71278850444178,53.856799741425206,56.191684270547164,58.34406149757668,55.43737072556237,52.17929092906132,52.01547440989197,50.043389729313226,52.91748553884083,52.98976923122108,52.974908462575016,52.633023050576554,50.37352003967373,55.03285212092532,56.336968426299705,56.97880015350575,56.91135813672504,52.683445826476444,57.667747055414594,60.53375870984418,58.303459183547155,61.17153436577328,60.01885869320448,64.90439358641247,63.3440143873968,64.94582508777302,64.9191064416109,61.955631217998345,61.029872189116276,58.39401303364039,57.90853516037069,57.20861645913696,52.64609246033435,52.37405804373134,48.735210830668706,46.79795958901905,48.03395460136483,45.823764536790826,42.925561376475144,43.079617755059935,43.99102372677306,39.80506600659896,37.29730629090222,39.83868449180586,39.94587059504017,34.39851656099638,34.54631819920171,35.746245058244845,32.54702821734939,29.802869467700653,32.26361430648511,33.87636475295615,37.05270339941341,39.76597308203443,40.8968114820587,42.56213590917948,47.81797530877922,49.22730867365768,52.69551434055812,53.64388420457745,54.295378598775976,57.2277815057087,55.522145861484475,59.96273284733559,58.409862178048,53.14453872325822,56.382291612381955,59.8105274281141,55.72284142469447,54.35612398071723,58.307643713288755,57.97634219175908,53.66175568577193,54.33657531442528,50.103675512729076,52.89822402986446,55.10107003417082,52.484527733755336,54.59021956726196,54.967633232927824,53.01111114540427,50.46451449047146,49.95508378951158,49.59366121644366,45.854824776358576,44.439335463670076,44.326269411082045,41.7260608485532,39.561061452800296,42.73258928089562,41.18263417025769,36.4993234283276,38.4601249664954,41.82991400034288,42.53903121585928,46.403064661620405,47.31554562882673,51.0327252576408,48.02139069738679,44.151130209465435,48.95007311173504,49.507521555162995,46.11162621660065,46.90138415545241,52.15323188631431,49.70097594549487,45.76217302120921,49.72910743588834,53.09856551490522,49.99034674628898,46.894015295312784,42.27566225819689,45.10307322628841,40.78943640958016,39.73388496037339,35.639049484839546,36.342941516047745,32.24349736809684,32.10185626198606,35.24454435710535,38.504016448702565,40.08380596714352,41.489011093319775,39.48405399535895,43.43918492710462,40.829947133859555,37.31185998953614,39.79208636422482,39.942550703246845,38.79452444602846,35.878828741246984,34.143281724423595,32.66034856950673,31.848682240558375,29.31907514293921,28.93699339765911,27.072882669926972,26.09579670576377,27.347702526461518,28.653662249092584],[30.81582850715548,32.98998702881104,37.10338795046725,34.64202498689962,40.21935751118779,35.666539009539115,37.78804522723606,38.982900215871986,35.938214145093305,38.47401071717657,38.2282416196467,39.52925247447281,43.1262468144393,40.36247381598724,43.293302695658156,46.10232495868285,47.019464463517174,50.39061615724602,53.09538149421002,56.50575281533672,59.27430558292191,63.61944108257195,64.16268923731168,64.05080929656029,62.10137683000537,57.590981916236174,56.38744312683336,52.35866408139579,51.887221355383524,50.67291284577819,50.3909183671595,50.592683321259166,51.8132644526145,55.787966879601385,55.81140493297265,55.42591733276817,55.31720552966045,57.614734418302994,58.522643961880505,64.66605089567311,62.25361246492324,61.80040624033206,66.0747811188732,67.13872482393387,69.36945840676033,70.13145301411382,73.95144556839382,71.72905474378193,69.21522378734389,74.44449649814962,74.98199531789726,75.2633153356608,74.97138947033334,69.82953312146448,72.22509601910372,75.41056864343363,71.96305378946262,69.47770607467046,73.78190812918152,75.04573535380297,70.16360487266708,69.43522739235328,66.18635680790908,67.74112497230828,67.1053004576528,63.47361960335706,59.35225265959315,55.75442914184753,52.628299165924666,48.944747743633854,48.17133289151609,48.29093303237201,50.38583549926585,55.02779692533527,54.661455919536415,60.10958471863368,61.250663347801385,62.79715126794307,63.549202919908836,66.31515618103568,64.57046832117022,65.797894605441,63.65053658418706,65.08475766603075,62.901005944873404,60.362860104429295,61.40686034154632,60.550272967281586,59.6978486457336,60.147016203746844,57.13148040246172,57.81990110935107,53.92508673584709,51.54983745015733,47.84757162707219,45.66212236424281,42.55109411659009,46.154001154791544,44.31225053397636,44.461438419838466,49.31047244122211,49.55446553342022,53.214523409272296,52.44315183189506,57.487787043752746,53.30840398337308,55.51045492885898,55.97522869240915,51.77922329274554,50.33831667914607,46.2783976387902,47.432518903553465,43.24737160185301,45.27901670213808,44.064006150721156,45.41414692929432,47.71044662778718,49.07257470029414,51.225545662620455,48.52690265730642,45.67571062679977,43.07338120908055,42.937465716249974,41.69385857259468,39.87741514340988,44.05143683046113,42.23294190416672,46.56242494454835,49.25007099373098,53.73235997082012,53.713929438375196,57.508409256654446,59.410606520706004,59.40683294698772,56.64442805665385,52.85411616107619,51.795390573705404,49.88244366153245,48.266606673812745,50.708946241658296,51.98591793144633,56.14408578728488,54.30613456360407,52.61009633965258,55.52996077434333,52.7638234578098,50.28053961163896,48.39721099782556,47.98289799134205,43.83749651315566,44.45550529823569,40.85441397901253,43.51985603005197,39.170960984798846,40.806595321435914,44.333684487209574,44.52914948786611,46.93242267530234,48.50070888443092,50.42148065369251,52.25396947819399,54.18961842695203,54.09452967422301,58.204183589390645,59.98601361350712,58.01096600859,60.65983198593355,62.686238659046765,59.94831673039859,56.54408622587968,56.59303304524245,54.48772743114865,57.46643625797126,57.59769220810499,57.521041787221314,57.3130526178353,54.77403835309894,59.57837119955921,60.826474648153905,61.702350541423705,61.56724019036365,57.61452588251899,62.64638823548106,65.46215392135237,63.0669053759859,65.65223858801077,64.2297494227883,69.12670482412021,67.37175113806263,69.27150985709821,69.36713947004462,66.5320770806995,65.78084363724038,63.28219092871107,62.96652133090747,62.395573400749264,57.80157609793867,57.76129627609088,54.21643924643209,52.35604404373215,53.79029319413067,51.63730083086905,48.61718491080689,48.816915404446455,49.903001147775086,45.7052604944261,43.02093137733569,45.7220168027137,45.99130355889582,40.36618653349253,40.478194246642936,41.778989556815034,38.63089008845357,35.769562733740635,38.18961887549923,39.68670004004183,42.96358245274611,45.379966412184245,46.70476525488252,48.46148746274907,53.69233571663353,55.05574809991136,58.57050747026615,59.649061974036464,60.28725384887753,63.238650412956765,61.510421304508284,65.91252544585272,64.32718130089593,59.01404109818243,62.23248949151726,65.5928299925033,61.438958771419756,60.039974204537856,63.9311508502494,63.50433737299372,59.1540621921586,59.73705522593932,55.694421505640555,58.53233962588347,60.85624569171632,58.37696374083787,60.47139834447165,60.957255894922106,58.88116931996464,56.30632023877338,55.96014164738986,55.575209106380285,51.757938937528564,50.44342042074191,50.3819256893528,47.75163132242807,45.618402095418254,48.84021672942028,47.27801703361105,42.59619897143599,44.57358432934262,47.933749523688356,48.627397841383555,52.498246939617125,53.38166956306181,57.08991365367065,54.0635586669082,50.14658111148726,54.91392224473459,55.43116074275427,51.996793757653954,52.699939536474226,57.95606154667009,55.39456244390517,51.38746764739399,55.32082083466473,58.66866049525698,55.43604674045542,52.285024034497326,47.640881179480246,50.23745776125865,45.80976444365792,45.03961352940539,40.962650016583446,41.94477529940827,37.9145907482287,37.409861186262255,40.532788719987245,43.63699410443077,45.27040215575433,46.977649822311015,44.912853820747166,48.88291055144443,46.09662334495158,42.977854399288475,45.46590363679626,45.78290495682735,44.4615276087293,41.496697988077145,40.03054537801873,38.455299441993546,37.32988582294633,35.09545095709667,34.90036182393884,32.88073695238054,31.715242020335207,32.852261237631005,33.98336767128796],[32.76299281467895,35.222621265859495,39.54671902822059,37.54515656390481,42.96908767769201,38.17492479134499,40.41648324668437,41.194228339622526,38.34019199370227,41.197801872154834,40.77022787570215,41.61827357982538,45.656740978431145,43.22004379435601,45.8481976422746,48.56814257125643,49.87516376648384,53.270667941495496,56.297383646480824,59.52602679375506,62.44075926218059,66.74753717725709,67.47060482333426,67.54557819499189,65.46393110145813,60.970351401788605,59.604134564061475,55.50437203584373,54.728622853227876,53.19173026050304,52.783232570485694,52.69120593402154,53.64085144512548,57.742792420423406,57.96358931443572,57.91279680310282,57.63281114797839,60.35814423941373,61.414962100123255,67.47383638482647,65.39650848127006,64.88402271528153,69.06063952075598,70.21513308556925,72.63267410526923,73.47293598137162,77.24252420187055,74.82896360768264,72.3376522483007,77.54846662810883,77.88763332240653,78.01567405827102,77.63471287528232,72.49238058935461,74.67818829588299,78.03306868041969,74.77330432837147,72.09065128825844,76.32367789898872,77.86022305978858,73.03659709312926,72.13057034189202,68.74175551726616,70.55458214395364,70.04688541533311,66.30459050079239,62.3566704009543,58.59305099497979,55.725937009929794,51.85608524721255,51.314153374921425,51.43241764049094,53.235481847323086,57.962928007594684,57.30144914931227,62.552675448503685,63.78658794538143,65.02973919489284,65.87308395858142,68.76222224730158,66.8597064466619,68.25980211958417,65.8590466714556,67.46691880847574,65.53315457586329,62.86960704872438,64.02036713491104,62.806927664566274,62.20408470051148,62.260579921001636,59.41715852618264,59.99666295808951,56.05046307980307,53.50513575957709,49.98492133232341,47.66481126024254,44.77225383324786,48.007163080251175,46.11264838496697,45.74964426380418,50.999683687414304,51.07693850137837,55.08241851371355,54.24830369887545,59.45460753128856,55.37427593974273,57.384052075333784,58.096859150295394,53.94107475667877,52.332768377411995,48.471928089146786,49.90712517780694,45.81789253506094,48.187205037783244,47.059808256882086,48.701654788802806,50.98722033861608,52.636358596319816,54.7344098318231,51.75739352667305,49.074553488157235,46.37242371262624,46.49784641437554,45.06921118296829,43.0290533522434,47.17685188516375,44.90714093424903,49.29222613816589,51.81817384686408,56.17928150690315,56.35839486839848,59.93802965036515,62.09421081273353,61.865945949972634,59.46984981958319,55.75541827332606,54.871003555901034,53.153819698956184,51.74831551256251,54.10426814368088,55.709633480477514,59.83128437640435,57.81446128476547,55.985320376838594,58.73111575120785,55.748232277719794,53.32072209736165,51.139831323216015,50.5131514219335,46.23479147081517,46.46539229650383,42.64587958062418,44.8225978882833,40.1100939362127,41.973484143738105,45.75461212761997,46.37312460495955,48.76734185001748,50.63816064510127,52.633827273566425,54.908838808070044,56.89196444039962,57.167817829224234,61.14957870113445,63.14750433843983,61.42534231108379,63.895933879714185,66.11153430929278,63.3100259604128,59.96659896386877,59.80680974828829,57.68415762399965,60.417639745880145,60.32683183076321,60.07607984709395,59.5649691588414,57.043228407847316,61.61112991492632,63.20101682419706,63.95622603661069,64.18641251763955,60.01278302605904,65.15859777274704,68.10806220786891,65.87293973331008,68.54124143572899,67.19171806705573,72.1835390214544,70.7073560787342,72.45586157878829,72.5721276286737,69.59603735925818,68.82807437136606,66.24834567901833,65.80784327304693,65.1731309416498,60.63272838864804,60.31415370361193,56.68195470087093,54.6208019184042,55.782158129952364,53.40758655820822,50.6418730121668,50.887679823025,51.574579687932385,47.36818246483054,45.141541994260855,47.47598085132339,47.22889934932743,41.92780902647786,42.08833239590275,42.959241877447475,39.714910092169326,37.26863437548086,39.46325306117641,41.336713881017644,44.05849446362162,47.2041589602189,48.369236925697216,49.74919048991372,55.010160573049916,56.05527981042239,59.72792744887278,60.69148496687944,61.56736146796776,64.50982058949961,62.90603032771173,67.43151701304575,65.8928055184197,60.76597784120014,64.03273065118756,67.53071680554216,63.49622077336046,62.194227092697595,66.17614012046036,65.88509059029597,61.59301052836096,62.33206116847601,58.017229086060055,60.69623004090837,62.813068368346435,60.01097806044763,61.98506073206407,62.07581441279387,60.17897765805266,57.826262187679475,57.12009236288245,56.48558488149291,52.961660023142464,51.63756630725284,51.12717359461366,48.435610281985646,46.58627638424617,49.51343803251056,47.627305911623054,43.10996006599381,45.226802474436134,48.3833874923282,49.428275690162224,53.319074973612224,54.4617419200619,58.194095862882,55.0808802091516,51.5208539331739,56.40494568564957,56.90029909093194,53.55798527102006,54.59903158627706,59.74700190073994,57.2341406707371,53.49848355552566,57.56671656067173,60.80821601862193,57.636762157994795,54.66088910343782,50.10418911701405,52.782912169033594,48.4761366215649,47.26168598891881,43.39766096813014,44.14714700945246,40.101601378006535,40.03354275273516,43.23337911382047,46.4656095177234,48.1174692961572,49.4617796115917,47.46610277895484,51.365050595285325,48.70744352260149,45.04485601041023,47.30443679003564,47.25590660756438,45.92162050440512,43.371593753874464,41.49768223119137,39.69356010302363,39.21422662347126,36.9488729086831,36.16718637006969,34.001198574459586,32.95073918109118,33.84187418316387,34.85077219501414],[29.45503928728253,31.924946276897295,36.142514890276665,34.34989171556149,39.499374587390506,34.45172780066208,36.689355727097784,37.163421131302634,34.460195250652816,37.56747153610702,37.100251519419956,37.64450963785732,41.90787030736869,39.79307754924055,42.3032998034388,44.88467060019738,46.412992649931184,49.91807762872565,53.24052127519329,56.240381915825466,59.34165586342709,63.55717002618295,64.49316411015704,64.69697346487116,62.41627225916891,57.966420237478246,56.37852608130766,52.21550922114947,51.23040005463595,49.44756780263946,49.179336289659936,48.7583050739521,49.676197852440666,53.90709917963474,54.10285644499611,54.236602144278386,53.74169600055038,56.73594773512982,57.85114980232956,63.80595241611944,62.01156971595684,61.54182204605311,65.63180273012075,66.7911661033709,69.36531342060388,70.22881573084359,73.96203130155764,71.40359447395669,68.88499444025355,74.0551119558378,74.25713797116458,74.25473518385007,73.84720843255498,68.70872820148293,70.79998479667766,74.28825450170619,71.1762310512892,68.40752037627348,72.6254232205862,74.33695843366137,69.61686951255918,68.7027863310161,65.2620107255709,67.34046093843173,66.8034597025586,62.93223779464623,59.24734393170872,55.33842021590494,52.75259790978948,48.77487864025671,48.47142128467481,48.80697481041578,50.305630880022484,55.04811738152267,54.05151556964612,59.27239192855159,60.348048027332915,61.437551866423014,62.1908074690398,65.06350803615393,62.97727670116152,64.4014895996732,61.80829663540983,63.47951509095158,61.713816499925606,59.01188625468698,60.30937489950012,58.891787396712026,58.55459783751499,58.48054066876489,55.828384501163534,56.53935922474526,52.53973575693005,49.8239896546157,46.301771661895785,44.06019611925972,41.176466867033625,44.06082368038474,42.029729167018075,41.37742783868806,46.777648154818316,46.68114314223116,50.85159403491824,49.94539356121565,55.22220685279663,51.21970383292642,53.170044338786404,54.05399619108521,49.96705635755519,48.19695888003214,44.47107675084852,46.02050830126955,42.00103063287442,44.61156524298182,43.58682036286565,45.481351936620065,47.799745336473336,49.72264268827088,51.8922832647444,48.66293833999857,46.13561402922385,43.286644320663314,43.60118716726438,41.95127547220185,39.695655693332775,43.81027225412256,41.226635095669245,45.63092301922625,48.067286210417215,52.29846902182665,52.7139273194984,56.14785625791175,58.42527929668123,57.979584208429074,55.86091140954945,52.18536692334328,51.54325242273048,49.92669338594502,48.710947248267786,50.947372623039705,52.91399841980748,56.98959251860698,54.80717690389907,52.81909967477146,55.40001972360109,52.25268639070363,49.8564085813342,47.44293229238989,46.645439424724664,42.29845729648093,42.29082582730212,38.378060334239265,40.332156330304976,35.5212536676628,37.4984364588139,41.34576244561757,42.15865294906799,44.5001587588496,46.55600858904019,48.55211560157066,51.10819881182875,53.14321763550643,53.69511615048759,57.5617902624835,59.7319236980229,58.268675443149924,60.58296910595088,63.001596370750214,60.19826150482611,56.88568307931831,56.51932323822878,54.341208642479,56.83441076671462,56.564029142978626,56.19348441921515,55.49274033726659,53.01865932379943,57.437696558727254,59.20768826801726,59.872781568757176,60.33379050861904,56.03151622543393,61.25471270335113,64.29895811351282,62.17425600003291,64.87879626749708,63.600054596332114,68.65186973728369,67.43631585274397,69.03891024493865,69.1932698901513,66.1055531651376,65.37369426462371,62.77095365889056,62.283321154734935,61.69712950081046,57.22111444540143,56.744525878454766,53.154037275494,50.86020610249137,52.01536269228681,49.43115021478099,46.76832099468162,47.251951343511685,47.77033147210286,43.4628787849845,41.61895267096108,43.91037762818353,43.33590645113087,38.16119790507787,38.57487264241688,39.345743088190744,35.86516498795077,33.76911353203217,36.18045845885584,38.18381316295361,40.802172427066445,44.338812524374674,45.15709133591861,46.45343131892973,51.74143906116377,52.890891526583836,56.46182573925942,57.123350025764104,57.9303683108042,60.74434598176004,59.00486351518863,63.62031923442847,62.28079515427325,57.11630680190225,60.276077601570805,63.971936352733806,60.08167019033565,58.67046293941332,62.62669315333974,62.63282638222097,58.39535902418465,58.96062137779865,54.53337305286949,56.910361422870864,58.971778186728265,56.05359871501079,57.86140501942993,57.84888262100516,55.887206951579955,53.65386000410543,52.95480331563171,52.13832743959254,48.658780103014074,47.492352639544634,46.850184262976775,44.08489198469787,42.42414973072393,45.4110779265653,43.41454352583037,38.91740071534006,41.29168551034327,44.47946978725865,45.630667080826335,49.42941030468335,50.48964736944413,54.338668930867684,51.40345595641486,47.838969766758524,52.69470408139837,53.41346104447441,50.15836362028138,51.15489956019343,56.38590802386614,54.143612817279525,50.39772908725507,54.37621500159165,57.77902529730643,54.84396399175976,51.86525672780024,47.312748323648925,50.33991587414096,46.15059227361582,44.75021610470102,40.75836628263475,41.09084126674372,36.87868604234056,37.27322445338173,40.37699235910641,43.792664815989205,45.22708273721997,46.24340490605883,44.03041558225205,47.78209945137639,45.09431976233941,41.19596053148361,43.224697283204705,43.056975287951545,41.59123029818208,39.289365864544564,37.36342291374777,35.34362707732951,35.087002461522225,33.03371946987776,32.00751623147466,29.6365201584199,28.560774621549726,29.33768289995734,30.31168510385572],[30.97720396753083,33.03431532026313,36.75250893690679,34.28066591006255,39.289464776958255,34.070118752038475,35.76710958798753,36.292546995780604,32.999426856860026,35.559687288055585,34.78454161491716,35.662990743517824,39.77486678355813,37.209548531713,39.54064698420886,42.36075254342609,43.83112964443694,47.0231280739576,50.09535053711696,53.33901204830363,56.19909010703782,60.54561072224741,61.2748883183261,61.522285162528235,59.48969354548637,54.9903802896967,53.71623754037773,49.63610686164857,48.67899380940408,47.154811492751506,46.34064681397126,46.50337936200177,47.289736963873814,51.2680292837636,51.65603762107285,51.63752363774973,51.58978094202163,54.364731188662816,55.61187792902647,61.74264824359264,59.71312385506994,58.89240348130589,63.02063248769968,64.3561252608748,66.82971891221806,67.88680352124857,71.55082167564939,68.99641250451536,66.74044460377364,72.02450989223009,72.15954213839196,72.3623039811842,71.80032045004087,66.70386103159319,68.69684349196042,71.97348767745024,68.71559805773408,65.91265707083424,70.05563652708514,71.65136913433554,66.75524685470488,65.66131357006834,62.22184054423838,64.00228106991098,63.63934141976218,59.937666534634104,55.91902632757658,52.138388810771055,49.304315619777256,45.35679666249013,44.87545736265212,44.8860645640705,46.58992079130268,51.35030348095129,50.684126259074446,55.831256618396566,57.22787360922208,58.42002345038406,59.41107459841535,62.42017058579479,60.69389986793088,62.30163158819842,60.07182803089374,61.87333359612391,59.95555639285191,57.066263700612794,57.96499782876857,56.69421789203502,55.879859091603365,55.78913410764828,52.850869866542915,53.27659284343035,49.35838439818286,46.88959400683291,43.46973900232074,41.02446811677688,38.24905738142839,41.67643306065812,40.01234552373034,39.97101783587765,45.10138971593119,45.68216118567104,49.47138738251122,49.12569762336026,54.49483274715397,50.68822807485465,53.08947043908912,53.988700561375396,50.018997268384666,48.07421657738998,44.25244775713701,45.21353913025551,40.91290341767688,43.167738595573695,41.58505015450541,43.337732853952176,45.31290345921795,47.13681062114112,48.83245621446158,45.70985679835713,43.15361029757294,40.55509999700769,41.0962717317921,39.82700186233722,37.99809765559784,42.47938040977893,40.553138196845325,44.90799458716172,47.64415963727726,51.80909662757548,52.46536650337495,56.09707444987332,58.01703932685578,57.481368869034135,55.129381250083554,51.22700808628023,50.849261610380125,48.70754469456861,47.11089588146851,49.14222354697859,50.71267028476522,54.590838932326896,52.30907598656251,50.595392702201394,53.18708026445668,50.07632982912123,47.82277303021266,45.62111648015327,45.23871197887144,40.96716538971607,41.517434167747254,37.487974418120636,39.87795045953357,35.18592266690998,36.527746585465465,40.30911243573402,40.78175636283166,43.509384799090654,45.05096264909857,47.51796285786285,49.77836892838857,51.36009868917248,51.915117240650595,55.753994129287186,58.0994994704617,56.64174395891504,59.31439758540733,61.71203972100801,59.184162416349224,55.64909983646232,55.44264371932506,53.005574047236976,55.507612905428495,55.24619678441989,54.76490168190164,54.24086251453932,51.42448502256375,56.05027861289162,57.703385385996285,58.6735580047068,59.05764253750177,55.13337874805424,60.449785273776136,63.452013581858004,61.11714318255241,63.41788364891491,61.79986710801285,66.89330484316385,65.54644495228139,67.48752534606133,67.8567269773128,64.8832584763294,64.46185426092951,62.07485553145692,61.861316860766046,61.57740041078448,57.090701300140836,56.94620779469166,53.60997399936564,51.25694967369544,52.92991645704361,50.32272333523636,47.39057099852459,48.23691391665596,49.12899410323835,44.653762728035304,42.671061071267886,45.47539393294678,45.154313245828895,39.71314095124389,40.3887646482705,41.581059467473146,37.926966654737676,35.732409120404604,38.62518082768503,40.30207596902887,43.46112359481677,46.48077269193996,47.21668490143631,48.877319405777136,54.15712357811821,55.707551263214036,59.04949241723531,59.55555691504387,60.026910599327884,62.69874777701892,60.61563631733897,65.20332041284911,64.05660781036879,58.59224310696704,61.534470002071714,65.30657566275389,61.41680388753452,59.71151241847053,63.47903335880107,63.66501005195462,59.39140593705988,59.4425687063054,55.33840770711003,57.49028230169964,59.83207362027506,57.22707457311477,58.89419707018408,59.25162059948302,56.86297865129653,54.54864406899082,54.42660277816687,53.558763678981144,49.750843066761725,48.95238500400177,48.63572178500028,45.790524750509896,44.14903660242446,47.58055724855598,45.73947775016266,41.119243264757095,43.721446116970675,47.1407250309632,48.07413197694087,51.73700949249738,52.39323930093653,56.37654335966358,53.749480062153616,49.768501554839155,54.44450999340245,55.44963649323484,52.169231706701666,52.67446620887274,58.149492954148926,56.09682066845665,51.98158435433591,55.67894532947511,59.393407970892945,56.56520445360628,53.343874846592584,48.66031376563802,51.83156972483085,47.54797024575798,46.63033610587459,42.25553982216832,42.56716258421429,38.188040208646875,38.368936725399124,41.2667089993969,44.66125443265098,45.83726569707832,47.11148565629669,44.425690823283766,48.06791844077669,44.96115019477016,41.75048919370803,43.69179339349269,43.93512778394191,42.04726607516865,39.625730215098855,38.38372643757237,36.166383517607,35.14773223446113,33.8088358474505,33.275446540099,30.56370669768126,29.10881878806656,29.845940097826386,30.68464133372705],[35.334251587605756,37.54139853944356,41.42735145586837,39.071391663536005,44.13100592942435,38.91775025038249,40.63333613254828,41.061162417456345,37.762214377401456,40.291217573552444,39.36722597042642,40.14457428772332,44.38145559787656,41.79397993008673,43.91615009338474,46.77941540967541,48.37823578456539,51.42809506993841,54.47104957868282,57.76382041526838,60.54071108029487,64.92627947567017,65.59959963039479,65.91036488319864,63.975783620061435,59.47182308246966,58.29686637930618,54.24482229171602,53.21132932427734,51.66358452712889,50.549878063457555,50.817375759521546,51.37113718742799,55.283516041615115,55.889740046442306,55.98377351117413,56.03628534141795,58.90751808409222,60.25010045459276,66.39486032209774,64.39082080547344,63.42768688064282,67.52978021954628,68.95983399104487,71.42892547179754,72.5608981980533,76.18325901697726,73.6007240077637,71.44561995020258,76.73878501154753,76.80728860788122,77.02239518037148,76.38311371409513,71.30842496845239,73.18219164639424,76.44225604986342,73.20839171769684,70.31544379589688,74.38010129132664,76.04030446129383,71.1016904518975,69.83337313945067,66.33372059246001,68.06079276667361,67.8610803041085,64.2184201997108,60.10004087457465,56.34267021081821,53.480650845825075,49.50155186893424,48.999332195396065,48.77509214156594,50.49894870605025,55.28442653404513,54.697736867385885,59.652454910110656,61.303559127227864,62.36915736552158,63.546390385840716,66.68164025672164,65.03992676398505,66.80300710939802,64.58257666517312,66.49725086885452,64.63980952519572,61.653954010267576,62.45433394220161,61.07429656593995,60.182763213919955,59.85848079035298,56.885280684543446,57.06011806290605,53.18521991530119,50.76691697934737,47.551962004092765,44.922108475691964,42.37535492678225,45.814581941367166,44.286262038453955,44.12924627853836,49.3990451465646,50.07825752181495,53.94676305013025,53.699725444299496,59.146222418730545,55.40741553117802,57.76540666568256,58.73911142945262,54.77837971850336,52.79429867906683,49.031463935840605,50.04044472880715,45.746161402135215,48.02210465940075,46.35956342806431,48.11793021366499,49.992509851050166,51.80787916817881,53.31446617301887,50.202342409491635,47.67693620704982,45.17348288805938,45.805517605555885,44.62527053310317,42.85893152797345,47.366819260963375,45.42542804879236,49.78363222901463,52.49500962917201,56.63579620470409,57.31327979712028,60.906911318849886,62.876259403832734,62.30591499569665,60.0089126592571,56.11193903466035,55.734647504621016,53.59592079707748,51.96835298271904,53.9804182972097,55.46586263113876,59.299015879866246,56.993692788962825,55.348903326299286,57.91348751793893,54.77613430512052,52.580393152829224,50.3626281436541,50.00516716159132,45.717059538953414,46.20952509333817,42.084973157801244,44.28442981801525,39.41126156276983,40.759614271923965,44.66126998144505,45.28386216306911,48.083785859176416,49.64522204404192,52.23377766962652,54.582741547821264,56.081539521692626,56.72613486625377,60.52770380012088,62.94088879500933,61.49636338414478,64.19872222975076,66.5873824989894,64.06438154530626,60.525078992037116,60.33440393499253,57.887858031060794,60.36543344482183,60.06145741983242,59.51169055561107,58.915071603700966,56.03191608579217,60.58746788603165,62.360005487595686,63.34871177973672,63.843924728227506,59.915874154117304,65.26686501719621,68.29297298297442,65.97324704076645,68.2347523741122,66.56759245249224,71.68393498477272,70.34942526425303,72.33081851430161,72.7247356360097,69.75263272254776,69.34943915797028,66.95971705802489,66.73031949852624,66.41594211319573,61.92902320354114,61.73610809081956,58.34887702961379,55.99772474990709,57.5444988362745,54.90896553707242,52.06504246911847,52.834475242373706,53.59282060220261,49.157992011723294,47.23904648038649,49.86934646341205,49.41408995350499,44.09634167558681,44.67107054974508,45.66677437511422,42.07127115643365,39.935226720382666,42.58486883510839,44.4120995050311,47.30795529103044,50.53654487880086,51.376609343521096,52.86822398803294,58.15871704248714,59.4557399869995,62.9566441478963,63.55243414154555,64.19473596435634,66.92185993296049,64.96870778612961,69.58624698830239,68.37547931313996,63.02904222847317,66.0449711405301,69.80172353289258,65.90525840181925,64.30008128403072,68.12298759356385,68.23756125719393,63.96537998059842,64.17041172981965,59.99104559888374,62.19101870696157,64.45541722236824,61.73289522298842,63.39617016294108,63.577303256881756,61.30203782885195,59.06914151446351,58.75454512154315,57.80539437476943,54.14948117161357,53.29422537621446,52.76474563385981,49.90981621499713,48.368927101301374,51.59693094200217,49.59893396579797,45.07352799463514,47.64789727204055,50.92689126486152,52.02853539837456,55.74926899307536,56.59755291938597,60.54396960275687,57.78057461501259,54.008149925037216,58.76578954037006,59.65007893471625,56.37524341980736,57.09047315720064,62.46763376278257,60.29963646550666,56.3324636700643,60.15005133783362,63.72826110928479,60.80211644841429,57.668553047253084,53.022447051498666,56.03973690424933,51.7378010648628,50.69944265024727,46.50562268682153,46.932104847223904,42.63086859345864,42.781093911566714,45.7771718858937,49.135308507534,50.44232139486138,51.71287336088896,49.16557298047635,52.83800922174985,49.79582545872754,46.43913321706696,48.35014960717727,48.450173120993405,46.590707299392825,44.30644840822281,42.87881893717377,40.61340691928491,39.849259710031916,38.420590825436456,37.67518045906637,34.96440419843484,33.57210391296973,34.18367386432091,34.9250938892005],[33.895995621706,36.424279432623116,40.604160866589275,38.9202984567668,43.872149606599805,38.614215592650716,40.692276839397756,40.81630105759175,38.0326820276785,41.11014803900432,40.312637493670316,40.58832071779191,45.1556078835254,43.115066114288084,45.20489795990417,47.813947481722764,49.67146048441958,52.985007521587676,56.42889485714628,59.394972232695594,62.46551269121445,66.70647569961886,67.67345523209214,68.06918978115283,65.83461770474153,61.39167825720529,59.85556969627476,55.697935388318236,54.457549813938115,52.525958578276615,51.80193839208353,51.43363648113467,51.968515767832415,56.145951053034665,56.67654143840806,57.06594958102273,56.664811380494676,59.939239121854946,61.265804282433486,67.2111770624935,65.60140505555924,64.87829592048526,68.88023536592253,70.21902398670268,72.88555595113492,73.9207100455489,77.55394710415688,74.84390097410794,72.50563190490801,77.69411552945292,77.68097340273566,77.6481969119443,77.07373648483724,71.97882973851704,73.80436174121333,77.32108624126288,74.31941948064605,71.34751965287897,75.43184906823465,77.34112395547024,72.58942270221566,71.38605605142547,67.8187812654128,69.95483762673368,69.66150273842936,65.8100019667059,62.09824463355611,58.13594181837467,55.6530627642046,51.54989188185463,51.34858045142739,51.449393082820606,52.80302768782769,57.605235925410106,56.546782854843336,61.47517164174152,62.85845547037677,63.68516574007802,64.68670735877626,67.75885745511628,65.73831355369346,67.44401749816085,64.81138009937897,66.72257731469196,65.12910140213454,62.21343085914165,63.381769481016406,61.695054227223515,61.329800241913254,60.82870370584521,58.19714150824514,58.593481737705396,54.624883898780034,51.90760200263001,48.68584988203913,46.19188625411642,43.64927377353473,46.43999716114318,44.59403122950942,43.730751769092095,49.366971641468645,49.466915687534886,53.765659869787044,53.10159375348494,58.558532197034644,54.77342945814468,56.7392668082972,57.85918092363232,53.883345300995174,51.89247142743109,48.33713963660932,49.861594652649714,45.82677411777683,48.53713083124689,47.31392062270537,49.3633755672627,51.472922090439596,53.56141436102603,55.40295257411129,52.02293552919451,49.638852465470606,46.873590469481535,47.5165808750877,45.935240722322156,43.73437310935383,47.97021251878886,45.33639735335238,49.73346499840208,52.14971172247895,56.22041565669372,56.90769842432916,60.2254892296099,62.55991432132608,61.87959537440075,59.985159363120374,56.28737121764322,55.900235250816124,54.21496732761816,52.9881747907089,55.05306580501549,57.05942452172493,60.990567782465384,58.62572070415995,56.68722645400865,59.11680549149825,55.81555603321272,53.56028275648654,51.01032841789402,50.23896630204555,45.843549382239495,45.741328844950985,41.59746237703658,43.23691700590189,38.14337960467609,40.01032123996617,44.05630687623588,45.129415665421206,47.64330135713928,49.71740203013669,52.01804285510438,54.82396550083367,56.655122930722655,57.53748647233123,61.25945724823733,63.69899784425753,62.44599336582404,64.78207564687557,67.33084399815816,64.60750409239454,61.25307602468734,60.801580939483046,58.50051322351648,60.78362993400484,60.32280751653792,59.73657865300224,58.83887065055805,56.214178522845565,60.47709239030852,62.51999722967492,63.224172352546596,63.99449346368332,59.69550415531262,65.04540563189204,68.17937611093683,66.10464727684948,68.67344911381265,67.29111212511812,72.43258027911436,71.39263518870202,73.03158447512182,73.30559364563615,70.16256179394601,69.56284362976994,66.99885778805059,66.52628146154134,66.01391373846391,61.596253341254446,61.02511694630628,57.47364311507567,55.002656189194816,56.11404773974143,53.33915562008873,50.816114892031614,51.46848380815924,51.77398741808976,47.429941075335854,45.933676347904445,48.07648860076085,47.14178405436173,42.21027473989829,42.739231968199476,43.26547838557811,39.68342972577815,37.92725658941676,40.2584041484321,42.45568855816733,44.74033277906821,48.687263780218665,49.37497939727466,50.454344157675045,55.73415067160787,56.69336807927222,60.33774495050094,60.86076942043468,61.774083692112036,64.52170218609835,62.78607975266523,67.48456930458194,66.25806753588485,61.17749562235969,64.29167511781287,68.1177540332008,64.34015923820283,62.919183564542024,66.86942722529193,67.04105750644561,62.85184233598692,63.3679263456448,58.85474599255501,61.00719014256494,62.98551066546062,59.90778984401302,61.538249913748956,61.29010464729213,59.33906344011081,57.303304275868136,56.49196413347491,55.40860534252063,52.109904213791644,51.093383489990764,50.13628466386039,47.29736382608889,45.947993224297655,48.783534092458,46.53066771334654,42.199315509496785,44.77159722381311,47.808568248290136,49.21827194127562,52.964593106879875,54.125864386276504,58.022031472150495,55.12171764909639,51.76887442619147,56.640845459421165,57.42325774480542,54.254684477198076,55.38007291941731,60.5692730151296,58.420688087781485,54.8025990473206,58.79028476703029,62.18180996692452,59.320024770389686,56.4156964560227,51.90992573837255,54.99009666594075,50.857047550805746,49.295898205115265,45.39450361703003,45.58388515542525,41.3520392271199,41.96435588908428,45.05179515160123,48.51936614878277,49.90044983010359,50.74357517980345,48.44380948105804,52.079003407561835,49.350776893158475,45.29574165757838,47.06938157513285,46.73037182150714,45.08799599718736,43.14823823008816,41.14523087382403,38.84695707797193,38.88148921684184,37.11221987906306,35.7709471613175,33.15017918344864,32.0389336947743,32.51984723070537,33.27444469225557],[31.544813038569327,33.81221144431008,37.56541647903394,35.70847329096175,40.27833068781756,34.708210954524624,36.45715340682358,36.29760053212457,33.342829229740396,36.34914946866183,35.33439107503183,35.47396976058276,40.18068665651315,38.225535975688686,40.081402101883924,42.674794821013634,44.71879731962337,47.9577998815304,51.54527740859862,54.41281146187271,57.52639977434809,61.740831055691,62.79800832607961,63.3373961915214,61.04956308089378,56.632518677128715,55.05537106207325,50.89674501223025,49.47038758442792,47.44548792527309,46.55977664443382,46.18832156494244,46.6176411614214,50.78406331485352,51.39211701402279,51.87568954214476,51.51258036065692,54.918555865301926,56.37068872746636,62.30139771655514,60.83617690865264,59.96497951735806,63.89806722974146,65.33658855159574,68.0951085729893,69.25490271629062,72.8146682346563,69.97351328834927,67.75293039500497,72.96336981595461,72.7877529465956,72.74478574194629,72.05929450851117,66.99497479645423,68.67586614995396,72.19987994905522,69.25616922523781,66.1904651093692,70.21720056932952,72.21891903340034,67.47771156994074,66.17915107552898,62.568252500765865,64.79485832646512,64.56431152583872,60.68381566817783,57.054299622822484,53.029042077919655,50.69395655348627,46.51142190615863,46.451465759726716,46.59939799807378,47.754419898844084,52.571522626004146,51.36167620299674,56.21725414415364,57.612566115906716,58.35079505566186,59.389464195404784,62.51348955427747,60.514408005331376,62.33634955799472,59.72816807967134,61.76781506586465,60.24837640041598,57.198331073564965,58.2865003602496,56.48994801695752,56.11816577087334,55.48941595798429,52.88890843261764,53.2645693494083,49.28707016664127,46.53705892568657,43.37138322251861,40.84309933984313,38.377052245638694,41.10845542765627,39.33423192559602,38.524357631088904,44.162627444095385,44.481890284107266,48.72150858252961,48.309710996014125,53.88037565659318,50.28800004246968,52.45413403464639,53.74429043301716,49.91366092033487,47.67162310884513,44.201598382518284,45.49078959277469,41.378706872068555,44.113678771733234,42.6844387478543,44.89450624177051,46.83777917321305,49.12820907697116,50.7759219271239,47.22226321700726,44.986641771947866,42.22846859885453,43.17813114092755,41.597574216695946,39.43506269296332,43.81826112230165,41.26354384977602,45.63024896306065,48.12082255888255,52.017176791715904,53.0650782301385,56.35080409283402,58.58564527201908,57.65235856899182,55.8892391260474,52.111752091835655,52.10533356827781,50.22779056700726,48.97640986308891,50.805713788753316,52.93032435759117,56.69588566256839,54.12892747036161,52.1949806896311,54.46428594208462,51.03523940703331,48.89597046010647,46.24487966439836,45.54195896462498,41.13430417371359,41.11710893418808,36.813240024933386,38.47681378396693,33.35331813028901,34.953331526042426,39.03362105113083,40.110623675759065,42.79391658835778,44.75199666066132,47.31912722432983,50.2228781519436,51.845145725156186,52.99205454584617,56.57890419372847,59.27040632932908,58.26729477027593,60.64717127085525,63.364354481845666,60.8007211007438,57.36433367053721,56.81015854188111,54.32165650019475,56.375342202608536,55.75097626336346,54.990162040145556,54.01374095882647,51.24517323653073,55.477507788880565,57.62107969586373,58.41162218287777,59.35385398591057,55.15580153744452,60.62128534901022,63.81220114932681,61.725856161048725,64.0982348341814,62.596394579421435,67.80878451052554,66.93818608153639,68.6241605948177,69.05125815630224,65.8754195702381,65.48721550093448,63.02827849136064,62.670587414492715,62.37770618935348,58.022189311196044,57.498954252964616,54.14571327968586,51.43301175221138,52.84045175847569,49.86702570083051,47.28804238924061,48.37451687911721,48.74785520120581,44.22418807447156,43.01002609486869,45.409636781847105,44.33264943723309,39.37707193016952,40.29930179942647,40.99160834686477,37.10121114587613,35.626877657055694,38.434766313184916,40.532116974761585,43.052123758928744,47.00573669924778,47.32710314794914,48.5546775930231,53.83682602124606,55.14319795928177,58.53762471983223,58.69320516199313,59.32889862459975,61.86690727400588,59.79846769072013,64.55330199598538,63.6223607851659,58.3355296663648,61.21459462774626,65.25574134876193,61.61654433443264,59.923927187832426,63.72694521896842,64.27450432529947,60.1247089170987,60.17999617859324,55.76804982269136,57.5049318453583,59.59411516661071,56.605613903142526,57.996561563815966,57.881973163587894,55.613499886293525,53.640684738467364,53.19110583143218,51.91402786624843,48.45981085504209,47.81741718191309,46.945426579137646,43.99316825964633,42.83422626799217,45.999472289527134,43.75317120087263,39.373006491853616,42.32048533185256,45.527828006674554,46.88575182818191,50.45032180009256,51.27725096018354,55.353685430787756,52.815291489189555,49.2060608088112,53.92556447105598,55.08544308388162,51.98874519970662,52.76860542393018,58.16631840797751,56.38214643131505,52.54297795066054,56.26619177202347,59.98005797591276,57.40334184243081,54.36217519346141,49.80233123807137,53.26843925565706,49.20539293072619,47.76874954549229,43.54440312042118,43.3435035141581,38.88878240197498,39.79491296027574,42.65509092953681,46.25495350974497,47.28114348701819,47.970146838564254,45.20379427359074,48.62151258115948,45.63340520096658,41.77330279416265,43.265436192920966,43.05854053636578,41.04313451046758,39.282186361255725,37.643528353368325,35.0236161977482,34.827614721854076,33.70676916005073,32.4224583025484,29.399207464261615,28.0298590264545,28.354814035223058,28.97352006540036],[35.18936286712502,37.185187963806115,40.49707878893911,38.31383803063419,42.51637965234799,36.69421971004274,37.89749037654098,37.43029122851103,34.065297520913404,36.646271360508436,35.128546053473805,35.20516586882756,40.038952622749974,37.931250456447714,39.22464524290933,41.94842522715572,44.26697690344745,47.10311075827298,50.65798084081981,53.5849441303555,56.5225614294083,60.79956516671713,61.78358474234788,62.54997727770912,60.43937224786413,56.03647669248435,54.68262488862784,50.61412724743135,48.95125591426721,46.95079733057889,45.31022181091113,45.34748690289452,45.33966235016664,49.26565237599379,50.29128146263363,50.91670328505705,50.92026973607668,54.433001924959434,56.162279919231274,62.14931655114894,60.74083682293554,59.41756500929922,63.26166993055246,64.96960231749384,67.74852568564633,69.18858801983801,72.58882010436373,69.60841970410279,67.73721136671728,73.00726005860066,72.57933632806424,72.63605148013113,71.69820701959335,66.72562964957554,68.08936640665274,71.48686063521049,68.57129262044002,65.3118664652255,69.1468126100405,71.25555545343961,66.40841858529213,64.74185985214243,61.03176743291645,63.14163976913175,63.23668516925341,59.48665613753677,55.68312591456783,51.69823194336321,49.37123929437035,45.10981621574567,45.082145178851604,44.85787993185347,45.92618267937902,50.7737743094683,49.66337298766016,54.1737277113189,56.017224419363295,56.56827393773115,57.96468278161488,61.335501996363924,59.628813947529316,61.81486257589204,59.42146018260244,61.75776243647436,60.31004783993955,56.95774243307683,57.66528656707016,55.719982925024794,55.03212064125846,54.00606739871357,51.27128974737157,51.19818560275618,47.31814573851846,44.72917652178803,41.93067894294483,39.07062179832853,37.02389535938399,39.964053087717076,38.62400756581776,38.064582613059464,43.652032028694855,44.62458889882421,48.66296703983476,48.8699928866988,54.6217111009269,51.398522476630816,53.89377523469309,55.40323754673983,51.79152493244797,49.23460812485559,45.886598005930814,46.724813161541285,42.45902948836257,45.03404595546906,43.078230536035406,45.350572562605485,46.85689455133442,49.26280025220535,50.296553916600196,46.65809099695635,44.59724451504193,42.08803086548143,43.516570476410074,42.227368725669244,40.392601715663545,45.06506738317129,42.90750209074503,47.18291106352191,49.833551859928306,53.49131219744099,54.97505761819752,58.26433551891982,60.284876698910175,59.05896958143794,57.37036662372073,53.44783860567915,53.89289828045782,51.62010402224267,50.14576695582154,51.639862432443515,53.5863666798246,57.045322197801305,54.23346019058392,52.514853476221255,54.600382225563855,51.06150645174312,49.17392262012863,46.53666491103683,46.13203320646965,41.781566231357736,42.05942766181804,37.51991143973659,39.19991577933562,34.003664030534445,35.002593851948795,39.14824855495975,40.20069754080622,43.27884443342198,44.87340970735104,48.01995415032225,50.93551561222441,52.05035644198324,53.528897591271935,56.91754069565024,59.978244644042796,59.221771876564326,61.82513520865065,64.66160000908356,62.379331279346026,58.78166608830937,58.229602769774345,55.46027855841142,57.27710694192871,56.46892331079133,55.429127796280675,54.39348385256029,51.27575754056567,55.4721124619452,57.770481283788726,58.799202832562266,59.97643502052547,56.070144283053,61.68473690245779,64.91606761098154,62.74837361858256,64.70249028276747,62.8894085873341,68.18550279545792,67.43427205347406,69.35334058987188,70.04271213496595,66.90351303947062,66.86154600532473,64.60290997478135,64.45382202998022,64.45732677059448,60.173752073149444,59.79639494517489,56.69416595689014,53.77509765303649,55.52945273723292,52.37793657301292,49.73882508828583,51.25899616120273,51.725203724560934,47.06509498486071,46.07971771159357,48.726431707765165,47.53843843542426,42.61619499668646,43.84630011418044,44.664379716376885,40.57193516795702,39.32315654488376,42.43807422357259,44.43335444423325,47.10257163686728,50.996949869623045,51.10247652890857,52.435850879706,57.68892611984396,59.19371114494856,62.425523782721115,62.30747071721259,62.73775342388183,65.08237649290638,62.72801774120477,67.5183531143934,66.86235054801621,61.4202051194368,64.06222029433438,68.28110138739329,64.76869288607162,62.8292127964897,66.463669523947,67.33111623138447,63.21564996077215,62.81180239320216,58.577961328293,59.90428202886857,62.12260416048317,59.25351330676983,60.36409810153823,60.35145492689145,57.75276243021989,55.89699618313249,55.82406385785097,54.28932015122144,50.74189060425783,50.52865442646221,49.673865317880235,46.619892058919376,45.73732720111079,49.12985581059993,46.83283431312074,42.511274781167565,45.784363267994586,49.05461823990513,50.4238494261177,53.80876897426196,54.36804314917469,58.58066691259549,56.35473937707793,52.58862875425917,57.148935061435424,58.612113176529505,55.586995613585174,56.072214962925926,61.61737947641379,60.10321841695722,56.09073722042003,59.57679486749343,63.5353027385563,61.14770588930687,57.991339436996505,53.388466147707895,57.0549220856742,53.00471186402114,51.76989844004447,47.32577895953217,46.93193857332335,42.344379212770804,43.332366844212075,45.99820521881379,49.63224040526065,50.382896663508966,51.05996601748739,47.8640133461258,51.05514165718163,47.748144488023826,44.27066813432699,45.44671406355927,45.404297452323426,42.93011881122862,41.4213197585292,40.24931401421209,37.275877894227996,36.770550403489004,36.4417447473659,35.26925951828418,31.851248441967993,30.190854887630003,30.24450289827524,30.586320395962527],[35.28691578186228,36.955649826165924,39.82653501840714,37.269542099597444,41.20887551483202,35.309852830074114,36.08015644392343,35.571277541912494,31.86312050783782,34.04104174129559,32.28098973732406,32.52101532908516,37.23742225095155,34.91419550835646,35.997959506498724,38.83818741527433,41.15948998741356,43.76606583201309,47.202840016003144,50.21978252126547,53.0214740772121,57.34619084207052,58.239634877046804,59.06974917844118,57.08525620530236,52.685685173776925,51.49990117885248,47.5053581449838,45.81420222488901,43.955365582722386,41.957191898668725,42.35247300830602,42.252862879473064,46.00160937076416,47.14307272703384,47.68764598732936,47.96867414719393,51.35672451051458,53.18475381726868,59.23918862082364,57.73897591663705,56.18423111116727,60.01711460335931,61.840453551629516,64.5728104194774,66.14547488182596,69.47596044959235,66.47868239637371,64.79174926934861,70.108762448178,69.61258302481507,69.78697661810706,68.74412710001144,63.81687541305102,65.09930903309767,68.36090220383363,65.37809649664801,62.093325103762794,65.86608674423915,67.91559232200045,62.98618823825958,61.2091076210777,57.50262024657897,59.460369052255444,59.660030139046754,56.00824643953773,52.05386980836842,48.138355272360705,45.72710815593491,41.47769782536854,41.399489457424835,41.00927201554707,42.11657400983024,46.963095128148,45.99691593321038,50.44304548298735,52.457769907675605,53.05893764078458,54.58681269036471,58.029910460335216,56.54551517774648,58.84764512784615,56.69311566533396,59.11519963381383,57.59471791847603,54.12184555992011,54.57274917838526,52.708081324598425,51.735964411976376,50.69230919009556,47.80026724712848,47.56700296374029,43.74104411114285,41.30458874912597,38.58659222928584,35.61226234962077,33.6653081719348,36.91494045510052,35.83975547873877,35.71937423308179,41.05528089946002,42.500066057391706,46.23536468545247,46.84108425004824,52.61930802487929,49.578631166856745,52.373152889732374,53.90645507804997,50.42863046802074,47.7413844089573,44.38952777481166,44.80673009265159,40.4075916899961,42.74871713342018,40.429669851842434,42.64869200087521,43.88687989448917,46.28733607001625,46.980731567342715,43.36696855773538,41.3627460916167,39.026812386650796,40.68356752273367,39.623333735250476,38.06988759735528,42.92756290536001,41.19684183893175,45.37785182676492,48.192234757987066,51.73248244587078,53.42955110099892,56.80094086028245,58.57142680552314,57.24502908170272,55.46151315810607,51.421786889562796,52.11651498876983,49.519640401459284,47.8450291990151,49.134803981670196,50.88825492822116,54.156624444923125,51.24390265982384,49.69103052215219,51.715443693158015,48.18657346090086,46.431650274362376,43.912635595628956,43.77831584749976,39.52206609954179,40.16445806026986,35.58618121546447,37.54382605289558,32.52873915068125,33.02468358183631,37.059498739059364,37.86376968306216,41.18660378843427,42.41008697810644,45.87546809592218,48.60511269672326,49.389294290026996,50.930004635095784,54.24095244842713,57.44973272408991,56.77309764779645,59.569534127364044,62.4240395578779,60.35312764755362,56.636888966882246,56.14686481977509,53.202165016428935,54.94599481928958,54.10771702230157,52.969741690990894,52.034809063568076,48.70099980154236,52.99637973087177,55.220149377474094,56.44618141349656,57.60051662900265,53.97137443943311,59.6267882014085,62.82474815434886,60.543686875601324,62.205611901738585,60.1776408554349,65.4881860904553,64.71223670968325,66.82207866934141,67.66757413578895,64.60113324824157,64.78977782509989,62.69411373587666,62.73243698633563,62.9649098475886,58.72045924343695,58.54895753004634,55.66732467528907,52.68541227696883,54.79961406668976,51.627204085441726,48.83575166979162,50.64724741318637,51.35231120238671,46.60613035611822,45.60358042041623,48.57671780859773,47.54076221190996,42.50427242081465,43.94788581508837,45.04717893805454,40.853785977815754,39.60542800584387,43.050537947166866,44.80754326901351,47.82150744771629,51.3695147496712,51.34895717305554,52.923565761184484,58.134408005685486,59.95035449400143,62.97064828285718,62.69251655765385,62.85197925306602,65.0576155485334,62.43934927184011,67.19004399379784,66.71090140175608,61.07355218761336,63.52006104945605,67.80144009573229,64.33637214813562,62.17545460335473,65.6421699274456,66.69342242728372,62.592412374512975,61.78451376595482,57.794952729287665,58.88849640220301,61.28557968908344,58.65386289489729,59.63129768314099,59.89372979858797,56.98281204574792,55.08977275710023,55.45613650968141,53.88742309547938,50.1216997276693,50.202233120730625,49.602171832468244,46.51850572043947,45.665814862333804,49.369755034025,47.22262904039374,42.85107711318333,46.27086701265869,49.693836761326295,50.88351878434685,54.12560641089396,54.35958560380256,58.6534156289525,56.70025189836874,52.649173553229005,57.031540924326926,58.73101920531487,55.72450402933152,55.83703891682254,61.53268436537034,60.21875873935706,55.96845796288109,59.204036815276325,63.393044299469516,61.1480420122333,57.84334208401364,53.19280906678881,57.00621937885941,52.95816338793128,52.02667968302514,47.33932952140506,46.841899785382736,42.169758718384564,43.10232132676577,45.56258641004782,49.17723314550289,49.68530197233952,50.455672729953584,46.914509379841995,49.952753684369206,46.37797534437842,43.395535807085686,44.44783821259854,44.69320499892477,41.9219918069238,40.38586327859231,39.72924014796076,36.63538287842092,35.607485977554376,35.85593206796554,35.02488611891079,31.41546307967423,29.511094280153117,29.521577356829862,29.75327630954187],[36.225349756337444,38.107424078784035,41.08819353387271,39.13517989904998,42.77467757429438,36.71681766483043,37.64401071283598,36.60204686666902,33.34420928225324,35.9671198101811,34.12199841443822,33.671438260599345,38.84497189681726,37.14679801035914,37.876485282490236,40.43581622543328,43.212078847693604,45.90070122147122,49.770512431543764,52.40773533065165,55.443600596512965,59.60305095142729,60.797535208717484,61.84146300886783,59.61431159136999,55.31868879937375,53.83501158125572,49.79020435542204,47.7351227899843,45.42587895453273,43.50173177094185,43.311682976546415,42.915855073894484,46.84173633572284,48.136712342651755,49.14172609339424,49.061747025372355,52.99805302759363,54.95121023326766,60.77044949213599,59.77857056518586,58.271819495738555,61.91713922057305,63.7761812325607,66.74211921520407,68.34627254911803,71.5917077493036,68.37904409650886,66.67470280114082,71.88230889364989,71.15052404867792,71.08335008424872,69.97779715283386,65.09171636513626,66.12434418376657,69.62082780003931,66.94409094733605,63.460866466644305,67.13017652881825,69.53686151911693,64.79347462003304,62.88902450742433,59.05934926079147,61.43789641290639,61.71229811600375,57.9042108341564,54.36887824291497,50.259324534024316,48.332299614037474,43.936336196368046,44.235269098522366,44.035850093792355,44.6427796001528,49.4725292476459,47.995979234962746,52.16315457031227,54.09837842917672,54.27938792408995,55.79579222309711,59.291728707583054,57.51329918398228,59.95213752881383,57.41503902837883,60.002320985971174,58.85331283462799,55.30651163566904,55.991950846447075,53.66250041002016,53.17186344179629,51.668939569698615,49.15193783869636,48.92828573764273,45.07482423329851,42.36573675465672,39.89402515603791,36.92883152684156,35.26763977628991,37.73736033407056,36.510351052683845,35.577554129557456,41.3645307390265,42.44473184725018,46.61355183825129,47.05704143176513,52.94871782995581,50.072802458986324,52.569806526940894,54.40979077859237,51.04164887433429,48.16960936251418,45.146079606596935,45.9424854127956,41.79235406048618,44.562962521651414,42.5164671861432,45.092384908212594,46.38333391280937,49.13417985028163,49.90811763733555,45.97509141228394,44.240397745934885,41.743826321075154,43.61722669651878,42.24349988624674,40.351833662346245,45.00534028186177,42.667954423967416,46.83534794700564,49.37642333883977,52.69817152641261,54.63817937530073,57.68136549556549,59.76470303157746,58.150704368536886,56.888849543567666,53.01811594285945,53.926581731449254,51.66066176927662,50.338253266803854,51.52688269249034,53.77036656743905,56.99188515323098,53.90878822356279,52.13455476073904,53.89812031552679,50.136588678904005,48.452094982437465,45.55303585217638,45.072095137273195,40.733159855144834,40.78923794174898,36.05863546974213,37.27795877352596,31.90966547503724,32.7351354221591,37.002667588724,38.397106222342124,41.572582196710414,43.23944312624897,46.66303624138161,49.95633577003948,50.86443633987701,52.8629610072163,55.96071834990303,59.382282919756285,59.05414217201183,61.534808382769924,64.62258232122849,62.46894785293049,58.89130357079531,58.1088228059321,55.20091437576497,56.590725273887024,55.46882502267693,54.13451845033233,52.795074078661656,49.59245205861496,53.480925014873506,56.13098935367829,57.14055106691966,58.76541284283884,54.85639228710262,60.582734138611976,63.927540438605355,61.89827358499891,63.69379996935223,61.840956556307155,67.20973346377596,66.84289315768781,68.67162942920469,69.51389326271567,66.27546478613588,66.41988586848989,64.22985836430246,64.09559016749046,64.25141945160863,60.12731873818796,59.59820480006148,56.66148360588853,53.43361792987144,55.22347327519447,51.787229519381285,49.34635056307041,51.25637034237809,51.4829925293931,46.76731077289903,46.383534532094416,48.92878442037224,47.270307235215085,42.708260610599396,44.27160624573518,44.90499508975239,40.60950477728939,39.932096494327645,43.18624984572803,45.29395457826924,47.709429275963764,52.01336910890133,51.71147762559319,52.87990780214294,58.05817899655347,59.59942386477246,62.68714316708327,62.170443809930774,62.523950146605785,64.63821713797475,62.110455625384624,66.97812412605566,66.63520785264667,61.22252271542923,63.65026720475811,68.10962066589344,64.85036391103169,62.76974771968488,66.29083375142626,67.5764989227965,63.58726596633108,62.89864045310374,58.6234247967564,59.44028788102049,61.57100568390844,58.58640285235386,59.36035819575756,59.162673043064956,56.44361825352286,54.86129042111996,54.8512255723858,52.95686589439328,49.57307661130753,49.71990721220134,48.60785460168579,45.473806959561585,45.03173610362751,48.40761707977742,45.917211357715594,41.81677211603567,45.445134048593744,48.62249690866304,50.181632155573304,53.341555767234475,53.78334012282402,58.10021286682648,56.17316624962747,52.52004294049815,56.94250964698165,58.69572230016873,55.85233181764158,56.27215967290882,61.828661521326055,60.68315201769729,56.73667876675801,60.03747553041877,64.13908219342566,62.06286974924601,58.95434005742646,54.43757585566151,58.405484107085485,54.54457106280815,53.150471878206545,48.67825076451421,47.83623333887023,43.17731100719613,44.64651698177461,47.11928211252109,50.86179385478328,51.327630562107636,51.623300458789615,48.14969474821668,51.02783761042236,47.6571350881108,44.05978104694043,44.768896971697664,44.57330034319805,41.79938424202141,40.83768274223262,39.74758380490928,36.40104010888687,36.189400138349974,36.4618297540554,34.97796402438942,31.23682534690019,29.50728450118699,29.182622743341163,29.22499412373399],[32.35254674437023,34.41058804397917,37.697927807762916,35.938854648927816,39.87700558179418,33.95971807735569,35.30946306621912,34.537374410993195,31.54766447712205,34.53357830253475,33.11090758303919,32.76830457973899,37.84507936813705,36.21922191424032,37.48832396318218,39.97378002612863,42.488444279898324,45.549053409841356,49.438732848362385,52.06237917256501,55.251862634601835,59.38369202680292,60.62619099727302,61.459192282869516,59.08286392327384,54.75043800283079,53.08441352792319,48.94322014788512,47.110778899067014,44.80323740670459,43.54755704288691,43.0381422965584,43.07734197255098,47.23077986055046,48.12653399926762,48.96074243224546,48.58353173599963,52.395408596694374,54.10375985407761,59.91831835193197,58.83463911630014,57.71116361201192,61.463509543514334,63.0879781500174,66.02736497731034,67.3918546714118,70.79137347488017,67.70605094539307,65.69482544514094,70.87648940517421,70.37740749694207,70.24526011234386,69.36104154036222,64.37795732130886,65.71579855957583,69.31005737869384,66.57373497129319,63.27275080359904,67.13593091930913,69.42147917198095,64.7429399629121,63.17720293787184,59.438820497256266,61.89311720613276,61.86419529915141,57.93798599145418,54.51286402575079,50.36507846310091,48.38420164608458,44.04671713574294,44.29065518883042,44.42008996859188,45.14949407932051,49.97546798920467,48.44196424560719,52.9772053974362,54.5067689210621,54.90552728411738,56.095470481905814,59.37266503010835,57.35230577036556,59.46042198113414,56.760424440189595,59.082659356976244,57.832313870026816,54.53946370675799,55.54290524494439,53.3816615152125,53.127450354074774,52.030681946226316,49.59005945600241,49.789445410252505,45.82841884078711,42.9814737594976,40.118477861455894,37.446942325207516,35.34300204827019,37.718497773327066,36.09181071364769,35.010979781529464,40.84533213168447,41.38754066323722,45.71810245871746,45.64225722239805,51.406202618619616,48.18738076772645,50.458869827966126,52.10518941113516,48.53461397785557,45.908731016313816,42.73771202389038,43.87311841506885,39.797577399637326,42.69408535155037,41.053070836483386,43.57699191271547,45.24348882665223,47.894929175934344,49.19597616022672,45.332713538511555,43.41816845084254,40.69584102242979,42.16820712777402,40.55499515729657,38.39437649772548,42.86276613740982,40.22494903400367,44.49597790292491,46.94521465320214,50.49174179116382,52.081362312627405,55.160474621219976,57.39729055289447,56.031647047580236,54.66456236273781,50.878718170560504,51.42536950503645,49.44024733332784,48.27270753173976,49.74050133506399,52.12113481507694,55.611097197349764,52.728016952183346,50.77440772034832,52.71755360231303,49.04628866377323,47.13179150211697,44.22887767627979,43.517739564467774,39.1012570545662,38.959055331926415,34.390851245895476,35.6861785473355,30.35065596960187,31.682730953021334,35.91814955834871,37.28513623523721,40.160883492137216,42.11404043155032,45.07011942191572,48.3267911686528,49.6610220354699,51.3554731889748,54.650751942390954,57.76421305953808,57.21206596395121,59.538711646359786,62.528916541143865,60.14997499763878,56.679233343811596,55.9064935379325,53.20701151053625,54.81846507826136,53.86491496113055,52.77540259209132,51.51610312574324,48.58468140881155,52.56723684352032,55.05332606834876,55.88298173553272,57.27283175664534,53.12554156381556,58.749598875237155,62.06190813724214,60.071344216813365,62.210806640531594,60.59982998422026,65.91128944974398,65.41693343423721,67.07563692230096,67.70454632676048,64.43862451289982,64.30487582746841,61.95464574427343,61.667747312843005,61.6007069696508,57.397493287502705,56.77877983188857,53.645645370830664,50.573086579385716,52.139134552263414,48.83892937661661,46.39881739126546,47.99641915189105,48.19516056416564,43.54608451221869,42.95590598548742,45.37448139968666,43.83344045973206,39.17785081175546,40.540324935208936,41.131861359109124,36.94381712126163,36.078472147176626,39.18134119971045,41.34017613025039,43.71729450257878,48.02477708549884,47.86970082718029,49.006513260094906,54.226281301907306,55.67158932601404,58.86675906213127,58.551716361086385,59.0259984957737,61.29313044269685,58.951831596621254,63.798614081100055,63.24391335358115,57.90223448763903,60.51178591819098,64.84094036726391,61.46495505271183,59.546884150401354,63.199639068163535,64.23976458559271,60.207773604027125,59.839344223340724,55.43667350219105,56.580419215234485,58.646185373704625,55.59208176238899,56.601524582243584,56.37780774530688,53.8767005600512,52.161486390676004,51.90709897561546,50.23498148888919,46.85492834273881,46.67277566517506,45.59992831302489,42.524073068625455,41.82862604345618,45.10549469939043,42.67770204042007,38.46770362919672,41.87919679317382,45.065303015048045,46.58109421758,49.88896886846549,50.496397159532634,54.735200066259296,52.58279473173637,48.97877267341949,53.52744649565534,55.07502471443574,52.15914215616515,52.75531417552848,58.24280802908757,56.900060257059366,53.03517232820714,56.502937977975805,60.45714462955133,58.24159129018967,55.19114021339283,50.68487239911639,54.53648332243733,50.65464622650777,49.14470322900642,44.78237594819083,44.06455565402807,39.46758637007872,40.8811007221833,43.48477303986309,47.21814894324259,47.86761452242197,48.188749511864245,44.99527766886092,48.06347760632298,44.89930470683117,41.03072438164004,42.00709564429235,41.725079351676015,39.27921740790628,38.06278209447543,36.65033767587776,33.55232534427816,33.506940688808626,33.197951770602,31.66493975855182,28.16330667355175,26.61159409422337,26.522873754130895,26.82835494040861],[29.82982058320034,31.591775258958105,34.59183206139126,32.37600117181989,36.343609241897845,30.44258797429689,31.583901394358797,31.08866853052245,27.77338775035077,30.50251887518286,29.135525075031595,29.199879455167874,34.00680097461934,32.05818595466029,33.57574893109681,36.1997650441596,38.44257871682588,41.515388734648944,45.213129649935595,48.00480473300858,51.11380973467333,55.31496445813182,56.43353530514198,57.14403615125636,54.845570410508685,50.462736052519496,48.90627071081572,44.77797060414741,43.14558469215119,41.08077951179064,39.89393493106802,39.66443802614103,39.96834238531928,44.059151721676635,44.775121671239596,45.31069412418277,45.10023272308186,48.583071847202056,50.20360682039012,56.14997520246044,54.788492014497805,53.67351501844888,57.533787052622955,59.116442865759325,61.94187814242813,63.280639365177144,66.73292679177422,63.75916287534897,61.73823637229352,66.98353796333961,66.62202619630968,66.6246274089232,65.79032212005829,60.77537233603858,62.28755759198022,65.75356589707782,62.83550902646083,59.66935634041057,63.62288643626273,65.68822067135251,60.922174606481725,59.49476906031527,55.845697745675544,58.106016733108056,57.96525066400113,54.09119298647845,50.494429739,46.428564201712895,44.22347307454209,39.965326434033265,40.045968216597316,40.207397351998544,41.15475414734169,45.97850011120131,44.653789810369354,49.43268374438908,50.88081961137618,51.56538386518299,52.67703528067922,55.87539184221629,53.98705971875104,55.96933022015214,53.494669180700825,55.69713461177582,54.21419550188371,50.97545755724638,51.87221884492389,50.00845209759349,49.51081908837572,48.76570689476038,46.13099392761256,46.45075364901858,42.476586715756255,39.744604415382234,36.640809445189085,34.0489092236713,31.672535800351632,34.476805453402136,32.88147640754649,32.356323201987955,37.86662262130118,38.64561723562763,42.66688875984418,42.710640787478184,48.40605587348372,45.10451961797496,47.631918585558495,49.09819839551332,45.49806037319489,42.93791908075654,39.56490592568485,40.38151202428526,36.13086765269138,38.77210545292496,36.95577145090379,39.315764252683145,40.96017188973171,43.46796298018124,44.77246139046149,41.04139091021604,38.99683397720914,36.316920701448964,37.70093943968915,36.22058705016217,34.233335443141755,38.84421006565581,36.596484889209435,40.861805897231086,43.5056108271783,47.1469349298974,48.67122073292409,51.955664077092464,53.954200620407,52.71670304097256,51.043245243781,47.13610763127596,47.65005297326791,45.421963410465274,44.05877956545106,45.53533528890852,47.702453630811654,51.19984244754077,48.38091529775893,46.52145629186986,48.58993816643556,45.03325375897971,43.07697259001908,40.37327619338585,39.870752101312696,35.50158652673118,35.764157676088274,31.278768249357718,33.130124032879465,28.085213908152966,29.124062007508147,33.17601602395887,34.11622486082656,37.10249265988114,38.750587260847574,41.750483357933106,44.65834779214102,45.906709679891335,47.35714628654481,50.76447079485891,53.78128544126681,53.07671932954232,55.58524992962984,58.48036255024874,56.185673621405236,52.61853006839304,51.9866435843837,49.22625773355936,51.00199918665605,50.196059633815544,49.21122888537365,48.20650421181311,45.18800305001842,49.4452226303312,51.6471931018405,52.61999394824714,53.719057974301336,49.76411037943843,55.360156003192955,58.587218960028,56.43551704783999,58.46805268420961,56.74894717805489,62.034868220291436,61.32928368081135,63.14448561289066,63.79753682422845,60.62568047100859,60.55885224931414,58.29209906364471,58.142602888918944,58.186351984243785,53.932408081004496,53.56450671552389,50.542638674484756,47.56450907834537,49.45984732415628,46.29265845417226,43.5861398984409,45.26711698970349,45.84023619949521,41.1235420291237,40.198022547397834,43.01592701428247,41.89680489193802,36.9068538509687,38.33615484623573,39.34813394696107,35.150569536119896,33.980295016843286,37.407495552074366,39.235786444816306,42.145662565092664,45.85867623300727,45.749417825543105,47.244757650080594,52.455989087318166,54.25766075428075,57.271935845445725,56.98489109563083,57.194774653296705,59.43917001391943,56.91084536068293,61.67390401456696,61.13208938548064,55.56347116411088,58.09014338879135,62.3577521525023,58.89561519294797,56.824658791550796,60.37754761877787,61.39021234568426,57.306371866682234,56.6898870557739,52.52894222859148,53.71784658065539,56.00654385832375,53.25226947608096,54.32834540104556,54.50602604394235,51.75645959576705,49.829356894827846,49.99202337341222,48.51559365746843,44.79374397085399,44.69707058182649,44.07057427064105,41.01391285256385,40.06877665517782,43.71666939329048,41.59417354261943,37.18510620216116,40.550583843916485,43.97778307957233,45.16167022639957,48.433178976081805,48.73794291901295,53.007924402440295,50.99392171646067,47.00035413967863,51.43288741280728,53.085147817039605,50.09258969391516,50.31900507060773,55.967764041973005,54.65975645549511,50.503551083065254,53.803701694149076,57.93486947390586,55.728200975037154,52.497683143111345,47.89797584446607,51.791554897132634,47.8371665685313,46.7023943091187,42.08022423252085,41.433514447365816,36.764323652142615,37.928741127004756,40.40928392135721,44.09444425957055,44.62160784216799,45.194093248831436,41.789214205564384,44.876140639636,41.49594107080649,38.13277396554531,39.25384022315167,39.350125208496195,36.789884745093595,35.20959440125986,34.267290828208615,31.265096550679672,30.514355623748926,30.441377007189434,29.444699019205082,25.9168131760707,24.14176930123899,24.270515253217486,24.69334312322404],[29.37992880723197,30.851106143864058,33.22861640562437,31.341804449472253,34.407215767624834,28.22106065480219,28.951296122362407,27.656677282677194,24.54354322720608,27.41713692972918,25.70195601636329,25.01538917990803,30.286232063425494,28.99088099266068,29.89103918722097,32.234603374862445,35.027233152268245,38.04488786063762,42.20675065195839,44.56087967357551,47.8782440589883,51.89011437205143,53.32974649664881,54.339662182832704,51.81042803732758,47.578206670242025,45.758054840510674,41.63558339924932,39.530073802416695,37.031681412197635,35.75373357879154,35.06462463516392,35.062792699929716,39.27396693601084,40.145031721820665,41.10772921881984,40.66264648767711,44.66895957886184,46.504603349285915,52.22302801068389,51.39595436591859,50.17233094604524,53.8010273784286,55.49364740784466,58.562482127616896,60.03969190202691,63.332993597114324,60.09147571834782,58.189918284985474,63.343762053600464,62.65705778656985,62.48092204217642,61.50387271543639,56.56328598145859,57.76432887713218,61.38980093179162,58.75383397008659,55.37104937707508,59.196611856690986,61.59580124830188,56.99589014230181,55.41180756802877,51.65151916092458,54.314646473107416,54.26068319574032,50.25165169020559,47.09322367211892,42.83709291407004,41.19618835554276,36.787715149473826,37.33398756738226,37.73135096935684,38.04489250775389,42.8156846268673,40.92855369950736,45.43819292390098,46.77545359635726,47.085488027888886,48.183547024085,51.44320794566742,49.35879886256023,51.538474188201185,48.83065714841299,51.27162313810446,50.135157707491736,46.71722664254308,47.69753640897013,45.400202805330395,45.257311971149946,44.08217100914032,41.77217359092319,42.13598899471687,38.13576276427496,35.15984551032037,32.27662758968412,29.709943030481295,27.63081017434422,29.72372028615978,28.096165587037124,27.064811423457616,32.85281756141732,33.643914912366945,37.858248521591065,38.10008522458669,43.96264932605205,41.045126529610535,43.589118805336206,45.44782632211131,42.15778668876144,39.19982983758509,36.23467160886261,36.994523580872915,32.91756583339115,35.84849672808458,34.007480515116576,36.796990775809654,38.2389294549057,41.21683627136781,42.338107908440755,38.21020862467894,36.59597659802692,33.85702263065008,35.76972925446089,34.09029643466138,31.960195160434882,36.47108832756831,33.945851016406976,38.04544537937584,40.53119722023541,43.732964264696996,45.84251786908369,48.80918136057765,50.876446114351666,49.15816424643997,48.02463587191129,44.20299323461308,45.32330258699305,43.145231285678115,42.0415210203536,43.122837446881455,45.760146084918446,48.97177045819062,45.83336168500487,43.83652434341416,45.49072341222628,41.65388750447627,39.918058152509175,36.844418834215574,36.18111918710602,31.81416948913625,31.758736444983956,27.031262412037155,28.358629202232333,23.117557399810604,23.963689878240977,28.17556431991295,29.524417792306643,32.59661793932003,34.39004564944195,37.667355191303436,41.06220700608658,42.130223868454856,44.21568570678922,47.267883507296624,50.69919943304311,50.544831583772684,52.843926328370785,56.06356611509182,53.921932567223045,50.411572269450744,49.458447181102436,46.54405530754424,47.766999378117596,46.57476884985326,45.25450033688004,43.88153402756377,40.81006367861174,44.72223297179181,47.31879838164704,48.23281983111126,49.8458174128208,45.85221688366157,51.579461832741245,54.943395326305804,52.97173906584232,54.85836214918079,53.14533893627372,58.510897561216126,58.29346226197459,59.938964842759724,60.752058554685675,57.451963139821174,57.588729276387774,55.40136200786485,55.26507315159798,55.5081692044118,51.474645417245924,50.92234569551545,48.14820887828088,44.77041919291538,46.76635851367312,43.24653678239359,40.767005032396014,43.00539692179618,43.325112810174026,38.53574314057117,38.41022474228213,41.1543603105851,39.48624237485819,34.95961192055647,36.89017129683742,37.748467277758316,33.289312496142635,32.90292824361969,36.59362255685921,38.46384503209868,41.12766381651483,45.22330232867115,44.52689979719651,45.88034159463107,50.947055139814736,52.90434954431233,55.64148536999667,54.80813848346529,54.82532752942269,56.74323871016685,53.93284202412533,58.76636623542815,58.65028245162036,53.07854754016279,55.28698814193417,59.853683922992694,56.72969595006182,54.438127283831285,57.80743652047102,59.38237047598147,55.48203265727749,54.43271162363421,50.266441343651806,50.76519389328578,52.97262585305846,50.13458897515794,50.78384082759978,50.83001759523918,47.85947686018583,46.2325257957009,46.58821500639583,44.699831667606354,41.09249951365646,41.50478791928231,40.67374536372207,37.52122274317696,37.10321157767937,40.84384985472861,38.578351816469265,34.42263578532837,38.258169929370546,41.62493461145832,42.94434689258992,45.87179394365442,45.910279029725004,50.31963508324911,48.77407865746398,44.83283597141451,49.01605825252956,51.098360457615414,48.35709270263931,48.38713974457227,54.06617334593523,53.29691821605325,49.186686313769435,52.16180389540882,56.51472849780306,54.769735695539616,51.58984530487992,47.13625989511872,51.45467803999632,47.80170219099747,46.529451726475294,41.8575896106568,40.55812210659576,35.826704509069444,37.65741591752277,39.78029531413323,43.57665642707894,43.65170565599348,43.69638646003476,39.87986617504068,42.50261890296887,39.030041915755625,35.58189050202769,36.06468390949308,36.03125320094413,33.03337905367855,32.1459802501899,31.432611421630632,27.92411234244814,27.453193690241026,28.333433012068628,27.01491436112167,23.02501234508055,21.106329130682564,20.73193376408339,20.82394639883106],[28.71652419445471,29.75851031804671,31.631269903390873,29.21385662055858,32.09042882437923,25.914405899989436,26.170469918977712,25.045150729342534,21.425328840440233,23.82201186937043,21.947086832114802,21.678195233276686,26.708221150609738,25.027467378475478,25.975014896013846,28.517048225958384,31.137071408459292,34.047216817941774,38.03529736915584,40.569301054010296,43.77092724573014,47.8737843723619,49.181660330591455,50.14383264191721,47.72968342266936,43.44875995938325,41.79343813363265,37.70237220102715,35.70921119116834,33.46161383782674,32.01300976841822,31.750732872306266,31.904358694873057,35.98211214131731,36.78365330015661,37.47513265256401,37.31981043742472,41.022983276443384,42.860957688584975,48.733788042368666,47.65168643133145,46.29505134533308,50.00670998634764,51.743503647160445,54.71412076600037,56.252704025882366,59.55183737936598,56.373111582556774,54.56314012823174,59.79937992793338,59.17093848236342,59.15786336385078,58.15425260851619,53.20873426073979,54.49571043357648,57.95510250299345,55.143395850167884,51.83728633679445,55.70437953788261,57.91678851643266,53.19468264322668,51.64588169248122,47.9405604614626,50.38751100021149,50.309528634675814,46.37575375644369,42.99857936041101,38.81639823916715,36.96440814066245,32.589171033379216,33.00622309602457,33.361152469450175,33.83459631269454,38.62814988578718,36.951807908316546,41.63736369067047,43.00508110774982,43.560143287165424,44.6747701019078,47.92647856668201,46.05981205133423,48.21987555738474,45.80946944859602,48.218279508243455,46.864593495113226,43.40580938114983,44.15966519635974,42.12317782158566,41.63276505113701,40.71073930507039,38.152791468342926,38.5285446747725,34.526958011179765,31.705711990596093,28.65207624428165,26.066344143909884,23.79700918238708,26.446787346901036,25.004407139959095,24.731727100667566,30.095420228237675,31.384111308696127,35.164478589193685,35.75098600794137,41.57033204588604,38.7056096945065,41.616890276380865,43.34954055581181,40.12599732712398,37.15146025250817,34.044619526687356,34.294276371031835,30.002074441202595,32.593695965931964,30.377520841922934,33.03576871304777,34.295689318294166,37.192066975607204,38.11753995171009,34.065465999064344,32.39436452822842,29.769650875670393,31.793630026103646,30.341771303545173,28.51334839441163,33.25249717388308,31.29291820600788,35.3144139857525,38.03936547495842,41.23211286964402,43.41559432928786,46.572002537822065,48.318191940843086,46.63912417233151,45.22659826208677,41.248889681115315,42.496607150590584,39.95070914304711,38.58747582206215,39.544617575068614,41.92583507577561,45.03419401337601,41.86695909799749,40.027339878392546,41.735363518016534,37.970372632196344,36.28117515773651,33.413133064602796,33.078459716517415,28.800078563039634,29.303939543949966,24.62251476913368,26.583085983954255,21.759649836974777,21.97991379322319,25.94789524208601,26.780565593304512,30.11120050466621,31.422810365190415,34.94765812083414,37.96771582889899,38.767799649451966,40.72313975824351,43.81637490295853,47.274430656047414,47.05975510552934,49.60230169247533,52.7665186692846,50.805923996272995,47.159406248194074,46.34200427444817,43.2783570960771,44.57515080263107,43.470154014345205,42.1651293153021,41.04152482861179,37.7652708431077,41.95438120961811,44.29688206433484,45.43598696537123,46.821610644446224,43.13206491713098,48.862805414399176,52.144940414119475,49.989524266246654,51.632172596124974,49.7133280734241,55.07867535226794,54.69335267230244,56.56363580582188,57.48218787542118,54.28517725848009,54.601434706784055,52.56752809649335,52.63604490751702,53.08464148640163,49.043784693323204,48.79142674698758,46.22978354826734,42.90376423184632,45.32715000864823,41.91903161956955,39.17497129812289,41.61713958174979,42.33636880821354,37.49895102109602,37.11489768524472,40.29475078747237,39.03718260874875,34.26559041566921,36.32113856743958,37.610606451690444,33.17572875125821,32.56535302112677,36.57391587288724,38.067306521894885,41.23371180406604,44.69183256328206,43.98807874095315,45.69792767531174,50.69344359581227,53.011262990165434,55.52019472419092,54.656044567905205,54.363500693001505,56.19206668498985,53.14145051045043,57.868788075422806,57.84128339997068,52.04404646106877,54.08549351454821,58.614257638200975,55.46215715831224,52.96260116253543,56.16301387705716,57.79677139261911,53.88256738183551,52.45331972688737,48.609446448056254,49.01861093937821,51.474902347779526,48.994595390913375,49.62185133283262,50.10227129614217,46.809536996642805,45.015943010254354,45.90462194621412,44.16017341164713,40.21672952457534,40.84161658939594,40.480395531808014,37.368001015875855,36.782663956717826,40.897915341021786,38.95779589414551,34.699513715856746,38.50035188123829,42.061882996112026,43.04364866454797,45.851857498779495,45.520219244123645,49.95051907013681,48.63826037233536,44.31912236433806,48.29726913358415,50.54560969561409,47.77699203936592,47.36181008241546,53.18981516329592,52.53639711141188,48.134649073273586,50.850309012612286,55.41190648449011,53.74515871175117,50.387196746654055,45.87439621649238,50.25368140316051,46.573274186842056,45.723668442797575,40.80396203477622,39.527329977542934,34.76279881120382,36.355012186289805,38.256350851518114,41.96861562703345,41.828729173805755,42.10815460020889,37.976802881384245,40.508400489509285,36.73739694547558,33.98570065167296,34.49773436162021,34.91917731301116,31.690030295308794,30.51839328335675,30.485402566457694,27.038241564969184,25.69210790629225,27.12028833844422,26.44601487680175,22.431957934015255,20.23622953581418,20.00694069390424,20.10721962944227],[27.592983716129144,28.43337467543745,29.832675420716477,27.94472864725172,30.00981903308243,23.731907556185483,23.798999205683206,21.92104777625536,18.81712932491623,21.606031144467828,19.655778994273593,18.487315341008134,23.965790471966844,23.172898279041444,23.72526799968156,25.82680578507616,28.88977230322878,31.940710322665293,36.40700889083316,38.42150415460018,41.91351014669327,45.76079088781258,47.428162662922084,48.573403647746424,45.84898043678174,41.74483017024581,39.70618536030323,35.60291639597686,33.239357694659255,30.50721634963855,29.406512454169746,28.378360305135683,28.445300878898223,32.78517438731394,33.51562663396466,34.595885009346674,33.97577719466811,38.18306218594435,40.09757872116921,45.68391665169587,45.13545263447611,43.905707793998026,47.40709584293772,49.117271064883305,52.31840590787601,53.853655339054775,57.06571603875915,53.69146620047488,51.83127718474353,56.93909645015104,56.1068665222738,55.859449144858395,54.830242646141365,49.9220805813145,51.04663100001652,54.72855551804951,52.1957188145397,48.771628121049325,52.597674189241516,55.09426013020104,50.60791636943376,49.089788293005626,45.334308963383606,48.24418925128988,48.093046689083145,43.97111258764564,41.16548869750518,36.79747259586607,35.56019097879532,31.132034709347224,32.02374746541359,32.81926427301402,32.665058125367175,37.315814100566556,35.00930703623007,39.550636698866384,40.55061175227727,40.8046944523771,41.70832745674382,44.88371567596916,42.656577297894835,44.83326037940101,42.05905991319431,44.569402546761424,43.54573366630481,40.05736859512611,41.10399018829635,38.683703086900884,38.751993917916984,37.58595254061811,35.468545088837665,36.138891984931256,32.09257352796922,28.931791191923356,25.937968486356084,23.627244017758734,21.478468458832253,23.10275521656346,21.34281844045553,20.304744552110773,26.049039564792402,26.98686220863831,31.108825376681136,31.584018403167743,37.50608909131989,34.862063168594915,37.636403722008914,39.6768753573047,36.67878115664132,33.43302172647843,30.71199778412487,31.124883470182553,27.125865922184882,30.111901623441142,28.177713316447274,31.248227954993535,32.517168842371944,35.82061467090168,36.87109066718409,32.49348020229062,31.211511135743397,28.42512590459036,30.71950357883511,28.916525775494524,26.777159915854508,31.1942231477999,28.74085482423906,32.6017557969429,35.06566606616532,37.90159067953508,40.48303207947717,43.30114216493315,45.21983161077063,43.184999523102356,42.30250060663833,38.49754938156998,40.149843907330876,37.86986627944863,36.90244004035465,37.61217667995942,40.556631688499614,43.50602038672796,40.15876209471543,38.07504498102409,39.43144762271403,35.444041870524295,33.866643079833025,30.59746469679014,29.91809730589904,25.623353398030527,25.602677744430057,20.76156506768702,22.11753268654641,17.091186225148725,17.38348026806848,21.531715477275796,22.86217395300208,26.082248152366986,27.763603195442474,31.28543903078421,34.833982361786774,35.707696916472194,38.16628063651042,40.97595009554352,44.66969729596753,44.89954122710857,47.10533271528429,50.532511867696826,48.594416843211704,45.10045078921826,43.954751035723284,40.88525510521272,41.71740024201539,40.29910881761514,38.78101864228958,37.29129836074431,34.14091606137985,37.981160359421516,40.666373589694665,41.61936561813548,43.42987660552175,39.549621208769956,45.345657243938824,48.74972627912392,46.82169096705603,48.52236405705791,46.77039626671665,52.16864770213078,52.221405324517534,53.80034238953725,54.74842736919213,51.4070287496617,51.761650868775256,49.714807729824855,49.69503151261344,50.203591461257595,46.36305976487302,45.85229890002153,43.4344694684075,39.80345368767846,42.16592997996421,38.48600465803712,36.01231951556669,38.824823830118035,39.24523423858208,34.4176495367309,34.757363138885275,37.733020983556806,35.9844065605612,31.707669705463335,34.1211654874764,35.20044315485983,30.64040540381469,30.726693065419827,34.81851391519319,36.369906198050856,39.20866987699144,43.02095981230119,41.841543318295166,43.3601584949856,48.194309556543445,50.573560624884145,52.86633093208848,51.58953092793011,51.191781032559675,52.7780139986502,49.57434237265679,54.348531361947444,54.62114761169899,48.90186960980563,50.724648940928304,55.46444046550811,52.596733274805096,49.9937883622539,53.08064215302929,55.12336305363403,51.38618509616643,49.740496434529796,45.82001709419414,45.71503650681482,48.02715957106409,45.41553020775372,45.73368701180536,46.04052164872799,42.6660898665412,41.126039355154376,42.05471638246104,40.01015318888766,36.220041687228836,37.18598818792509,36.6259624191558,33.47318021940543,33.309281429753675,37.413197589741706,35.37917462157013,31.385745588253634,35.487695647346406,38.94289224281957,40.033915645626266,42.555041274544756,42.06197228835853,46.55763553437405,45.586826268066375,41.4014912535576,45.1763784924954,47.71379825051453,45.17560013109544,44.69095860235842,50.462699200302204,50.22196280725171,45.962708741219906,48.44956108699078,53.103146720053466,51.810119745374585,48.56997155493972,44.24662378160078,48.918549306629416,45.5479670556849,44.48541828277035,39.65880298309364,37.839187219924284,33.12343235605458,35.318934526018964,36.93265765314812,40.70282399662212,40.24166454835183,39.996013558033596,35.67117252193616,37.811282635360875,34.11463639356423,31.112242497823996,31.08720335361931,31.30202333116375,27.81467612169802,27.281815029806747,27.303570367725435,23.499203544837176,22.592368236218107,24.699837806980394,23.668098295990454,19.405331579180245,17.190329796065942,16.50722423759352,16.359441429399077],[28.67716204370875,29.01049432647073,29.711914782381438,27.33507058335869,28.904307217734793,22.742052538691585,22.036659130319904,20.132591691519096,16.454848823399903,18.460476747053647,16.04970707667671,15.138069912901614,20.457096572044012,19.369577365020163,19.595694250301996,21.889401257930444,24.98168241737983,27.783672967359937,32.167919701220555,34.286019480420855,37.66020390755215,41.579468473460985,43.16044971984757,44.369719591034624,41.75844428631769,37.643526785135904,35.78018829471031,31.743657590130876,29.33137518551391,26.787287419583897,25.258966458268226,24.725104791539977,24.78573105702274,28.948768036991382,29.73921994020176,30.64534910026977,30.397945298704027,34.40674241027062,36.44001405780406,42.15554964167686,41.452182094317514,39.94895114125276,43.4710906842527,45.312845313229765,48.46126086834109,50.15107707368244,53.30035905830768,49.911246235016485,48.253456131439094,53.43954079217784,52.55166032875347,52.47031500814932,51.33245732541842,46.45429830341175,47.53402698166453,51.0427419303007,48.380053232021005,44.94665297324804,48.75420814525412,51.14002875756023,46.528151923515885,44.93158492091198,41.18492240513475,43.926526622499736,43.83698325510696,39.79244781538321,36.80437607851427,32.47376568890056,31.14973529236161,26.69686259446337,27.58831216960803,28.328073482551787,28.14610722247425,32.81663096662721,30.614139566045893,35.22331230959723,36.33130812977803,36.73371910940127,37.734886949798465,40.978286973142986,39.01872707838612,41.301160606797225,38.86712789617477,41.456436688344844,40.281875454330965,36.64230243336387,37.357860705701334,35.09916203450021,34.775454874787734,33.7023508370495,31.340268343854483,31.94055493149878,27.89259872279129,24.872497160414373,21.802382048575097,19.383989174865512,17.180721736616157,19.35417136417406,17.95503776193084,17.87516888286549,23.075538228830638,24.815490537538217,28.362357154305,29.45230111417647,35.346450479890784,32.960035033786966,36.18669527564476,38.1862213052047,35.406106672787296,32.04884899703892,29.334050230385497,29.041083457205655,24.87020253511185,27.43661314422745,24.947919093922,27.961202193697336,28.846053927897984,32.183063134858465,32.81901288643015,28.417401188739955,27.24410690085775,24.659386514617054,27.323252733660492,25.82529079127664,24.12171170342452,28.754257507003715,27.022408862902495,30.658691212048787,33.34972560417605,35.996868791256254,38.83180965368346,41.764450336144186,43.28995155787064,41.16376872121469,40.104855481998946,36.151646307694925,38.140004189086895,35.41344849932331,34.178636551038714,34.58062271261892,37.28227825297121,39.97056737004778,36.48198253083277,34.60140973099253,35.87129994712145,31.88766066115952,30.48958124902299,27.392534661248575,27.14619212736245,23.03532889163419,23.689914146735127,18.905932948196213,20.876840497053966,16.530157518301614,15.71745462448568,19.486951430682947,20.23380494313097,23.869398220657565,24.87388075658119,28.883289092423432,32.07739112472518,32.46841034025312,34.99339090449355,37.70886590404344,41.58869738772854,41.91746357552509,44.38044611129689,47.813148754501874,46.16535372837991,42.5294633279659,41.47885482008246,38.18116728164981,38.92142132699383,37.48611878285383,35.85486859539717,34.56137717940904,31.08976292672183,35.14759972721754,37.65727312373154,38.904575371089116,40.614797222952305,37.15680438326975,42.97607481625091,46.306521086500275,44.20710037592837,45.51296049100062,43.47338541345895,48.891648757640006,48.88733917556163,50.71822354072435,51.86174025839251,48.63020622544523,49.28243055494916,47.465957512131325,47.70845603726274,48.52131061580201,44.754519897534635,44.56107360070489,42.479589534847946,38.84975855372531,41.702204324784006,38.10787978287772,35.42859465094704,38.566606176283436,39.36297507558974,34.549941604542575,34.77484718768078,38.15141445727307,36.75246928167908,32.406575518689365,34.98572002285669,36.44866388525415,31.97231258298892,31.96050334004161,36.304425926555645,37.46611952281718,40.70766084951667,43.898201267699946,42.640082882596516,44.46951352353145,49.15241270020702,51.8770066999818,53.88529125172651,52.49195232686797,51.748114104047424,53.157996588883734,49.66824361696904,54.30390460290026,54.76411678661398,48.857560696802,50.40852043180798,55.135864467663225,52.33610644717056,49.48021756798882,52.310139056096986,54.529579273038564,50.84315454801931,48.68828065201434,45.170744896248124,44.79404399387558,47.34841858380117,45.14073399910344,45.31540434829068,46.05873569724372,42.303258948736136,40.684241008969295,42.24274926057137,40.26621816520326,36.202019420706726,37.525115937085836,37.41761271636902,34.34524975012709,34.14249888928653,38.56532067778644,36.85700571048557,32.910013322696095,36.97843956728808,40.54389265817027,41.3195781004156,43.61798546676745,42.70008584713028,47.19063644877941,46.56262065541575,42.06212448090924,45.522764150458165,48.289569043377206,45.79990103756838,44.81946082015342,50.69139353735433,50.670234949712935,46.16142491104738,48.284191462395064,53.1579306923829,52.03488598005039,48.648079701301874,44.33590508056079,49.08221304752632,45.760924232233066,45.129768693379425,40.11023522723921,38.248854211894496,33.5801033746121,35.58037096074533,36.87222740006655,40.50863960709262,39.739900981292855,39.65990939991747,34.956239133110536,36.84288095894314,32.816535529104605,30.68914950824889,30.52030540210616,31.226093925176457,27.41373521467635,26.773354161902894,27.653101363123977,23.913483969670175,22.075305573784398,25.01618129195719,24.659741863575572,20.473549360531454,18.0459046045103,17.402327327030406,17.11433386671051],[28.01759543388283,28.344404076076085,28.905197553478814,27.05096362460083,28.17605939545049,22.000262561326267,21.372808263298204,18.92000952450461,15.879219614400851,18.371372479110274,16.096421797886173,14.349081475734028,20.0166954385057,19.74565001190992,19.763278367392335,21.608767953097697,24.99735538183479,27.958655754304615,32.67623910825812,34.370706710224034,37.97154858213059,41.666626732013995,43.520641658457286,44.82647240293214,41.974421172628624,38.0088164549031,35.827729832724366,31.787498043663486,29.138479497937684,26.186899708585326,25.085662362878153,23.794674502838085,23.8014981029627,28.21251661324669,28.913949326756192,30.15875411217458,29.441128650407915,33.87031449548408,35.91153941073042,41.36410445409048,41.0883848911049,39.77142119897189,43.12711026834251,44.89947410602574,48.21771489855406,49.84918710445609,52.95132106136748,49.44024976971785,47.68342975926459,52.74640453785027,51.73846015580703,51.44352883872356,50.32821177136603,45.46934318074139,46.45166485751644,50.166912930223624,47.74396802255466,44.24077998528485,48.021385626027495,50.63061156657878,46.236109751757006,44.69774052360009,40.928189071614916,44.0422398977892,43.87351011674252,39.685405750556,37.18087037233131,32.73414475516011,31.89232608392094,27.46273986861029,28.682816990392244,29.749800119401733,29.139278960380615,33.64743122351246,30.977175838566293,35.43514003291216,36.22663520810607,36.370249308226825,37.17407157413514,40.32701651231574,38.02375907458681,40.274849220845724,37.476841405209676,40.10968579004168,39.21936790494965,35.613546820889006,36.64615421209977,34.06512599391428,34.27970387622675,33.01424806849062,31.068232424152985,31.918576219670875,27.868141249677716,24.56673250395316,21.582966481712013,19.468210228823175,17.407349347263203,18.514485018200233,16.73468855834733,15.71859480337225,21.403194273359173,22.638824744697274,26.614879449814826,27.448091675625218,33.424912226016254,31.137077731315618,34.13663455548267,36.367909463976375,33.70005047399334,30.18590085983927,27.76917731004044,27.787069667903914,23.91871412242215,26.87462363253315,24.787789599766757,28.085843654219264,29.087986863054407,32.67173994922331,33.52764307285396,28.947674929531534,28.0327240838457,25.304722219506655,28.00131203377902,26.179252483681513,24.14444541490548,28.420415736391934,26.144810479088882,29.69301624981949,32.11406148001426,34.54301018072915,37.581915785623444,40.234324031959936,41.98609709217782,39.639476149004956,39.00983735015795,35.23903617596679,37.40694419279755,35.01272976698191,34.145209392608514,34.46349664673978,37.61375205992553,40.258136897112145,36.71158980517763,34.60662338036837,35.644181318424934,31.52258960371043,30.1609174620981,26.734857946446912,26.101677822268645,21.957021348147777,22.0089517208848,17.105571502631786,18.413279098006434,13.751169605634825,13.209082343701771,17.24776888831094,18.569914448051147,22.000324247798808,23.483049451976715,27.34320051632642,31.022868797302333,31.609696003311026,34.470404533017344,36.99744317461131,40.97339883330389,41.583226027816366,43.724051148073244,47.323848606957654,45.61083406577137,42.1371798459277,40.836300425459314,37.61763177635342,38.05137078431356,36.40077147744724,34.65247600593518,33.03448012426545,29.757203534819507,33.488077391969895,36.29685428520039,37.32028567461803,39.363090733359385,35.652685771955355,41.50142120368916,44.93406189349433,43.04961992763599,44.51017171871205,42.6811758608143,48.103132250399646,48.42152349351538,49.968402704325676,51.071785602709646,47.716496138561716,48.30298938621317,46.41425730046323,46.519530310644306,47.28467162226048,43.644291897325,43.18590069094358,41.118484663173895,37.29194792348982,39.96043571724496,36.169173769622454,33.74675931457586,37.04069721270801,37.530114763598,32.74907238043761,33.500859914224755,36.60995389926887,34.79959257161991,30.846013454207405,33.59969006374995,34.813642652376856,30.278982405399862,30.754135971584333,35.04068974603009,36.32793310550346,39.22816248242461,42.78668219518217,41.247476265548,42.85969158820954,47.450521254847175,50.11276671488175,52.04752436459703,50.41832553954784,49.69721057669181,50.98599300365272,47.47676856329107,52.16898809567601,52.7804146380059,46.99264297310899,48.46228699577925,53.32370727479547,50.70407618964989,47.85538712558935,50.67144915794046,53.11199339820504,49.539530223489045,47.38766667047618,43.719953217724985,43.06483051052547,45.44779098008932,43.04921263703879,43.04591360839227,43.55748583790046,39.847774632420105,38.43150471938449,39.855526227456025,37.657946476941625,33.7811066622173,35.253811078139975,34.89949175998734,31.796589201770555,31.901375243758498,36.21235253904112,34.374589714532135,30.62950130371123,34.87757635473733,38.31874815580101,39.23958537599609,41.38733795986691,40.468686689211864,44.98701263398846,44.50430544352924,40.19498581881081,43.58274667884603,46.47271675503821,44.13453135629849,43.2422660428795,49.02620153108049,49.21950342351777,44.89105069341703,46.95063404589115,51.805725859720326,50.8856034636438,47.63058939872336,43.461816858707856,48.35149000195671,45.232589276161875,44.34990184119853,39.47690773898862,37.29016970191908,32.68403855740076,35.10860167101627,36.29087223042213,39.973859976356614,39.08575530486466,38.61053861351529,33.909978805712186,35.58102921892462,31.722598002016415,29.20469520488075,28.684545532247597,29.116144072011494,25.21395629829873,25.082943224949418,25.789951909713174,21.8205324128683,20.548715551320267,23.742044464217354,22.984264555376125,18.690126675011758,16.362040666728458,15.374789077543843,14.934217563379322],[31.46523242840261,31.800791030001925,32.20672230220808,30.59642187537083,31.284996399129216,25.22183871947832,24.34421744674735,21.422221296418744,18.703535215208834,20.868977875430176,18.232005352111305,15.881685038105285,21.62317593637185,21.79261952621076,20.89513399327937,22.48397653698248,26.382852133608203,28.907778642692364,33.798571235173235,35.18639986338044,38.74625018025916,42.28841124735156,44.28484668208001,45.901763956205116,43.05891136755316,39.273154432160744,37.101658041550714,33.22581219622961,30.16499321043681,26.958448308346554,25.235126959124194,23.829877914596732,23.103654676230395,27.384076799217624,28.59273110465802,30.348245617885297,29.674981722833586,34.547342449168475,36.876811815541686,42.07197903680538,42.23506590043205,40.614180398330944,43.69085286142143,45.67039522291164,49.12244704906091,50.963533905398585,53.841964192157555,50.11772074873073,48.645004281152026,53.6022026967743,52.24553478518293,51.85858658067196,50.512371346713685,45.81792424886432,46.34833913218285,50.10055879364199,47.951038884836095,44.183684635426204,47.70223446615478,50.63553277665894,46.345276739003864,44.44688135503982,40.54254900245793,43.869788196282634,44.00425750036841,39.85326862968186,37.59391848023556,33.11444190112336,32.708574198015036,28.23079950415958,29.76063983495935,30.652372989750567,29.559272331028165,33.96546250235363,30.98889192577056,34.865653678422504,35.92062351926818,35.566265052548765,36.635091017484534,39.99525475853756,37.7267481433334,40.36282893431128,37.49688880607879,40.47161636881453,39.94323408064767,36.09360075861061,36.962143013941045,33.91811666208581,34.25267000314881,32.27906427948677,30.572203498300052,31.060275236281345,27.115483905553116,23.745701704513284,21.432604237011244,19.07612118320274,17.876832606229517,18.27754224680485,16.941301852288664,15.39382566277942,21.244558415837318,22.830519397647215,26.832081524691738,28.129878085078005,34.177569584717155,32.43337661168462,35.40001099463973,37.97132292976481,35.653281564112795,31.8755776684518,29.92406599969997,29.837758103669348,26.254917618862397,29.21925683068033,27.002119738353567,30.43904918227504,31.060866076689862,34.848072051914535,35.23523986137822,30.509604175120973,29.997476649303128,27.505298455968884,30.609779651896982,28.90468638233312,27.028007035704896,31.137320880905747,28.87635678293674,32.154095294472675,34.40016921276141,36.383837252176306,39.83850755685491,42.19314665386845,43.94449700678145,41.22649507171332,41.041352073976164,37.39517135064407,39.97833427030811,37.59576916655084,36.826899466873556,36.80841763636618,40.047397299696826,42.34727552480946,38.594341715501194,36.571073776180434,37.22935877832501,32.973998048606795,31.94308814188036,28.383734889868432,27.778353060910142,23.876016379375066,23.713776163230243,18.8285005879102,19.330863792279928,14.696734538509528,13.66614651846748,17.694058057673722,19.491419349215075,23.009569206272552,24.422992451647747,28.646214242278035,32.631062330379024,32.838032255819726,36.242274056052985,38.36281613473433,42.69324159914954,43.721286839825915,45.763235921085865,49.525010413418954,48.00088705984754,44.58638583954603,43.131613603025066,39.818864520331324,39.79867340921829,37.83450007290945,35.74535324766325,33.80254154545097,30.404236735351464,33.66770571302478,36.89152492732646,37.934722360154126,40.489382360923564,36.92073645203816,42.794347190826684,46.288648610658825,44.55836353240928,45.74481966020168,43.82820751407398,49.25677494683965,49.95453678267693,51.4535966891496,52.734276016497674,49.35623810814737,50.1641352420705,48.402809826407044,48.549664695861914,49.46965934543415,46.03903005865803,45.46673887105318,43.596135037914216,39.574669321275174,42.20535628572839,38.224487146986576,36.07446443229683,39.623726564630786,39.860147743210334,35.163349359324826,36.42265394502397,39.321544466244426,37.11481483159133,33.61217402875283,36.51155160457456,37.48469544100572,32.921687598902366,33.8230826720572,38.01619549361914,39.42192584392005,42.00055326934346,45.87457161789435,44.10574186044223,45.51243952662622,49.990319944696054,52.56335063252,54.41776634423847,52.50165476332814,51.76721322151318,52.84859146124145,49.251097228366476,53.95867314881408,54.83395895406437,49.17616195237513,50.441756077461676,55.45144744814691,53.085245015906835,50.17243747844523,52.8475905624708,55.606415481323694,52.19107885726373,49.84811045453044,46.20791833971477,45.100318749515004,47.35285030480465,44.87054992911414,44.522277185097096,44.80871621854895,41.038667759742026,39.959321199567846,41.399177621868326,38.84319635112236,35.25543354184368,37.06801741096248,36.40847755523387,33.29606998338588,33.87556136750968,38.00430646528637,35.97546553156552,32.56817939225089,37.017016617712194,40.262962120473084,41.385658699087465,43.316198720266556,42.35751828750184,46.88560706925963,46.64022443530407,42.56109343464886,45.78959690372745,48.85089612531692,46.69806382975668,45.82463856518401,51.50349187929762,51.95610775186513,47.77837238357058,49.693719645473685,54.564221900872695,53.86172240252617,50.70287401847318,46.65931641390924,51.639045913625786,48.670383044641184,47.66361735117352,42.89222785232089,40.49407415919947,35.96232804547113,38.625330196153676,39.70222749046271,43.375990620818186,42.35103376775809,41.61351747060415,36.84236601671998,38.20076313461743,34.39845930769332,31.857900670770753,30.888256543806655,31.121601196066326,27.02890315032665,27.541098006665862,28.258086595198826,24.088922310420994,23.271108103176253,26.806446164566236,25.737313038867626,21.407923962718133,19.219037580235412,17.835867824020944,17.06283813393934],[32.485644466916554,32.93556322817246,33.65780907985022,31.47181478561677,32.81085667860519,26.662267463613745,25.811533199153466,23.512617657516795,20.046031634893748,21.791552872342276,18.997991377610372,17.59035841977084,23.03431773258321,22.21861397360038,21.561222991500724,23.724396566868563,27.294510147355567,29.618352366228322,34.1012381046381,36.035735702653824,39.301715875542264,43.14314765009975,44.788427596128635,46.300261905008696,43.77466499154816,39.790460045603645,38.02564579036171,34.14247137760669,31.358577314790768,28.634099536626497,26.32148690348007,25.876023669674794,25.170902323490306,29.135219363586398,30.518038857385942,31.880672274896103,31.79987935701424,36.1860620379693,38.521707694134186,44.05738750439845,43.69561120888104,41.824574434437444,45.11065201169546,47.19575763890166,50.444418180718806,52.368471747243994,55.306389616269136,51.72413105918157,50.37862869763215,55.49746978331474,54.279931926533905,54.15118050696701,52.764656345344164,48.0412018335607,48.67268625500888,52.17591050171441,49.73599080852442,46.032761595553055,49.56775752385615,52.24377257606264,47.67122575244925,45.649500965173765,41.74922877260592,44.60163770749297,44.88450970718506,40.92018754842543,38.02113187335871,33.681780736894424,32.6590552092939,28.125565523621265,29.23881998088122,29.63469191015558,29.085408254044943,33.7245922887229,31.35762794423453,35.3655611116598,36.91518339516139,36.84263663390909,38.22164735311665,41.73440341537499,39.90835851777929,42.61486159825392,40.18033933348948,43.11676427070896,42.24906318584812,38.34364810526093,38.81833155305405,36.1455271886068,35.798465940640305,33.99722745225118,31.750456258693454,31.827366082112732,27.885375965981286,24.88112984128274,22.51848777266552,19.684251368026565,18.38058887157824,20.140747010931687,19.256901087639203,18.793328550016955,24.164164308504468,26.303802821786842,29.874158738346654,31.42414651079034,37.41961194533248,35.49568319719354,38.70287052950049,41.00602744416772,38.48781138933883,34.89452059378886,32.536252085214265,32.176226579013544,28.1934428942262,30.769267023887007,28.09693764290121,31.209601369785954,31.71397870959278,35.20137037415899,35.30722639888111,30.79395789656865,29.953243563456148,27.633416992616635,30.68949614714466,29.35768462100507,27.825152180277726,32.3859935771666,30.667657336015793,34.12842339854834,36.70029506877779,39.008842735086176,42.18884195586611,44.89621035850673,46.43062892526778,43.99096020536882,43.28495371536262,39.406073265085965,41.729664623405384,38.97469307719159,37.77088835801379,37.8945787863423,40.59568052441408,42.977979316552435,39.293773539129376,37.53889594195234,38.49763791426933,34.395089535868514,33.30130664828298,30.111712875650838,29.933883773280616,25.99329223003609,26.47953131005969,21.619689163413383,22.91458942122766,18.39910920069499,17.258662691179605,21.12964272111103,22.298918299071,26.07154627095745,26.99778209688088,31.38818326857562,34.84281808592407,34.85558157010901,37.85260031136899,40.22859760905018,44.441748379035694,45.1081672580287,47.54010891050512,51.101514485141756,49.62043719471523,46.00439026967921,44.849551361349576,41.44930109374062,41.828060494368636,40.12651600076562,38.18380922690067,36.61518807276187,32.98031392495419,36.650835914621766,39.537738989796956,40.84100647291531,43.003319348430985,39.684440013779145,45.55085165407491,48.94084980659698,46.951763151076534,47.98663282440152,45.81797760142205,51.257263981328926,51.55234187464753,53.400347687569,54.7192870004321,51.47433170917993,52.33834349690317,50.632862808429095,50.918454754315235,51.858486317010566,48.241306547426916,47.95176271552044,45.99507998096562,42.19671137693131,44.992112039856934,41.21571918029232,38.75675575433507,42.0767826232707,42.634087685091636,37.85115761665174,38.47543539761279,41.6589839150058,39.887590096560714,35.86477463322724,38.537186532180996,39.75471710174489,35.20445418059126,35.519395915333554,39.76781741680378,41.1077962649397,44.052079493626394,47.61201701496908,46.20953654232373,47.83730642639349,52.48666470685481,55.08074750091119,57.09692648869508,55.49909998176133,54.80507671089434,56.08053473165632,52.547176961962826,57.229776132890535,57.881580860996934,52.08279304686222,53.5088591920346,58.37105902871587,55.753224755457246,52.86443818054992,55.61581779658996,58.07259533870269,54.48518780758153,52.21919215289439,48.68194271630121,47.97145289662933,50.412324594440854,48.08560563516464,47.9877161738778,48.49080947497361,44.71050699188718,43.37971038273547,44.880993755841324,42.57738465082844,38.77117225366291,40.33544073128172,39.89607918458609,36.7756357647761,36.971584278637884,41.21789419678235,39.26778342334118,35.55280283515173,39.82572889169499,43.23288557488179,44.24696260314467,46.431334995679805,45.55570326198105,50.07761643034073,49.57332024706209,45.28989526772089,48.69611029611385,51.570535734278636,49.202100079335956,48.31075298693252,54.11269673581745,54.246995957487826,49.867958376735814,51.94443245433062,56.81606368235332,55.81606088733588,52.50529542756851,48.25940073484004,53.06228443542706,49.80786814929749,49.031729253971086,44.089306834039284,42.101476283444825,37.44730344170816,39.630122127336634,40.91706664227382,44.57706363354854,43.75747517892015,43.48894677098416,38.74896471220163,40.43781356533532,36.44765308718436,34.2136127886144,33.706759239951325,34.1992444083008,30.227087027803616,30.113929037360403,30.893213392362938,26.926527525260653,25.553305257256717,28.68215471214378,27.96161630172804,23.65339714247911,21.308584385019454,20.310273955192876,19.719874247480405],[32.687309307143124,33.63049836691882,35.068568880980756,33.144599405807945,35.10889628095945,28.842180368021538,28.650513655617754,26.543164463599403,23.322655049837273,25.626607406295246,23.17495839918501,21.82346397153187,27.36341367086489,26.50391296055271,26.25492435576008,28.42195343395403,31.86827598534244,34.376857166416116,38.81438938578339,40.82513203205758,44.11186575220514,47.97956260863448,49.598795968353144,51.02621876897501,48.49383057395897,44.452860558276214,42.65223824295577,38.6941660031593,36.03247856790528,33.27026403388501,31.195047571745228,30.556407004471158,29.870703649229572,33.90118752246946,35.279199835879574,36.695481558986316,36.438488715148694,40.87946610755256,43.116454679638174,48.63960469189368,48.27234871435323,46.567876220654725,49.89680336465529,51.89705213867623,55.13954420808586,56.954035796789526,59.964088420590244,56.42744264616643,54.94247866585911,60.04030148438489,58.8982229069259,58.68922014618924,57.37837718691218,52.62012681934168,53.307632985442766,56.897846017694405,54.50530704518519,50.8220868663902,54.36268428630307,57.07799373063788,52.54133156877859,50.54086434331024,46.632458172368295,49.49735833445446,49.781374689276745,45.80739927998101,42.886439994772445,38.55790830082298,37.42219697310476,32.89761659939086,33.872069808775954,34.16472416324136,33.82769811980718,38.51062061556018,36.242682345016874,40.2039722880638,41.81016285512078,41.66749324843388,43.05492426522445,46.55413723179931,44.61111230737586,47.25602972925331,44.624651388585946,47.49563374930129,46.67996618632186,42.882541190275035,43.54591790457044,40.81515085341654,40.638977380614946,38.786109415969555,36.623926416725155,36.63746033788763,32.72424778953835,29.71055821201128,27.40090056178517,24.57446093690747,23.23635417502606,24.87497934078679,23.754663597982898,22.69633894766044,28.447665765274504,30.006000404027542,33.99563818821977,35.06938458605997,41.08916246956703,38.90026291755075,41.76551832000301,44.051376993847484,41.289388815925626,37.83337127085856,35.369366579531025,35.55280373020426,31.596745130449893,34.43617050122551,32.10554979281108,35.18516372989919,36.003243149271064,39.37702678387641,39.7728804247773,35.33927450996024,34.286746804910315,31.82325456600876,34.539730158088055,33.04844645683186,31.2325406777496,35.76365538451913,33.572649916339365,37.28892882707283,39.75498158511447,42.318980742559894,45.20849016680156,47.907475457758004,49.73987248853668,47.44745013877699,46.76346314252619,42.943964679247145,44.90014989962333,42.42629667534682,41.32347778793351,41.7648512538193,44.522189117306986,47.171787570386655,43.62689346214656,41.76738702966076,42.8966747689048,38.82438240274617,37.546337265404944,34.29793901436116,33.85567267642457,29.72502243963729,29.799992464418807,24.884272699855057,25.83341672322217,20.76029722242618,20.531025328638695,24.70282129283187,26.236093138501694,29.722088618736112,31.125757898051717,35.14424246881495,38.78406287607082,39.17199658289945,42.005384860113615,44.543068508264575,48.5693356413727,49.04566684294683,51.3668483367346,54.8717594564453,53.14019404661954,49.58441665372213,48.43154698992573,45.20134991231259,45.77502629964414,44.154368761392824,42.34345254344559,40.68892490928807,37.270692988622685,40.84805051975507,43.82156310466726,44.930550183176685,47.09607333498371,43.45951034320194,49.3157728949399,52.751693684251904,50.84673702884147,52.19170070591097,50.204575246973505,55.63786868244966,55.87746440101619,57.60212218847459,58.762445015053295,55.45125586232713,56.065066281824315,54.16683121643104,54.25573421363192,54.92695311025337,51.1885585554121,50.6887658875368,48.40325917994307,44.66181780057034,47.05177159525422,43.24851743067785,40.904734498115126,43.86761378089826,44.15780166827822,39.351823485024596,39.91529186046761,42.796234117831965,40.80935118814871,36.744113586049636,39.18737599633898,40.09681424513154,35.50087326997371,35.75246112426579,39.739626217695026,41.42805874179533,44.06523293616818,48.12565920547877,46.90847605901522,48.288147017163745,53.11310862270732,55.35804725298234,57.69659936008403,56.293816401947204,55.94943502927367,57.435357242544285,54.19407996246035,58.998878336467286,59.42173795045908,53.77521352240069,55.49175713655254,60.32732878807115,57.585876898741546,54.94196929423163,57.95082969789021,60.162189776522965,56.48429402743621,54.71084410871573,50.83101818597538,50.46942207197405,52.73239666862878,50.06692254039607,50.153453402615,50.287778308021366,46.86452066728614,45.560961087361946,46.48608626707805,44.1632720717037,40.58427372830522,41.76610086835261,40.937212279872554,37.7488074619355,37.91307111141226,41.85539611445577,39.603228277025465,35.81184076589574,40.055958156096494,43.36577730274908,44.66887546993777,47.11793761007278,46.67508356986209,51.1899796220732,50.296697340854784,46.28423839299605,50.02394370691079,52.62802988595027,50.164822047915315,49.74152691559608,55.470155567045424,55.309788071269665,51.12182208881983,53.58180858029116,58.23886261160599,56.994645203162385,53.78539852507847,49.47726193698291,54.14468737763489,50.7629052581779,49.649870756205196,44.855519035319205,43.0405354600782,38.32827629932537,40.530669279853456,42.17393124695814,45.94280670456547,45.46979417073762,45.19084694397845,40.80757712648163,42.815085659518566,39.0652636375753,36.142281811784756,35.87644295309284,35.98788297546269,32.34030810766982,32.18048530271837,32.21425418231,28.259409606359547,27.56708560657663,29.857224295546278,28.632223574895036,24.31564489970276,22.16355803871082,21.229396452480184,20.781190749585623],[32.472236966774446,33.26423029458879,34.69280849055437,32.07233553636396,34.472699307086096,28.314256623023894,27.96162232258299,26.53205366977484,22.62882030026589,24.36326750904097,21.909785206453098,21.537772288899973,26.55933497482409,24.782853643496562,24.950370103112135,27.587862773645586,30.51930772246662,32.91311806533748,36.86190607176603,39.40100096310777,42.40790804512097,46.53662249766164,47.78860479235643,49.000989463021675,46.764089993272265,42.54671740518825,41.12500609656217,37.18385810561377,34.92523951379082,32.71974977407278,30.401047110550316,30.613644491454064,30.24982878869152,34.026117222954376,35.29193231810805,36.146182916980585,36.40196810206874,40.195109950035075,42.3251180401611,48.18877847649786,47.2000204662882,45.37321430144218,48.95042006286844,50.96013255092268,53.94577543229803,55.765338850112954,58.87579738503039,55.56151570925555,54.12482868552215,59.37968357936129,58.48781000582947,58.57270073965714,57.312011238732254,52.49511893014983,53.44132766671424,56.757487833055876,53.994019970274074,50.49892498820957,54.15332891889988,56.47413053402219,51.670319120172515,49.74733774901469,45.94361378248842,48.2925919625624,48.54744773390215,44.752988683145496,41.240297848201294,37.10417612299852,35.323961886417315,30.876017210842587,31.38152695664548,31.360122354457925,31.64952149054279,36.46089085480849,34.83781540803475,39.13744365345385,40.96217824940494,41.30770246085049,42.79204606093176,46.29120295716139,44.7415271678843,47.277446054731186,45.120292397448445,47.8242499542175,46.5631748432629,42.811410930909574,43.147068230024146,40.959470656643674,40.13197041637669,38.77651726535798,36.08675905138572,35.985725415645526,32.08354899473694,29.43588413517585,26.830508514855097,23.855686750990177,22.150135274710276,25.011840397210975,24.160197792537975,24.263379612722886,29.39983256687358,31.464041390811566,34.90477707918226,36.19575021823371,42.08961510241941,39.68735243083342,42.89308446126426,44.81420945740997,41.89046311418716,38.663329822226785,35.77735859581179,35.52621167842036,31.208345897370318,33.53975684132704,30.793940650997044,33.47276212336736,34.20242663810237,37.20486347096603,37.438295465630624,33.31365432872857,31.9103349656263,29.62263963502864,32.177563792219,31.075755310850877,29.670614414365634,34.5544907306255,33.08052256961328,36.867722730280526,39.68320711451202,42.544516017189224,45.137133229454825,48.23335772974636,49.72988528571042,47.774750892035975,46.46990816339224,42.42089084947457,44.12140900908668,41.231319092213255,39.68053108056776,40.245274519822495,42.42553373173531,45.148136086954835,41.747621636306405,40.15632265929779,41.614799615548115,37.775211702267676,36.40781668156755,33.60390458783714,33.61633489738287,29.540336843203388,30.375533338855178,25.620960674668105,27.537102787015893,22.911183849938453,22.311347590219434,26.167153523235466,26.913761967220537,30.61911285537911,31.44973488559842,35.56090158742116,38.52579950668971,38.74217306077629,41.048251951229815,43.865595882269574,47.68103346746582,47.74690674859754,50.47137056259818,53.72553350339484,52.0769017957893,48.32830304813365,47.51482745704624,44.21222799443278,45.21970920027139,43.92822929599656,42.33707047296089,41.16652499593416,37.552658877555146,41.6437999361452,44.119353409500405,45.50380769536946,47.12290121768636,43.805140675496254,49.60227332414959,52.88124680798094,50.6730768277581,51.85852369485126,49.6370123889213,55.03847247562272,54.79666753068745,56.87630826170761,58.05450819229722,54.92508135476724,55.59350183634929,53.78975115697618,54.06847034845135,54.809533306078656,50.90514324303973,50.79939318393703,48.53272315222566,45.07376426408322,47.78786373596879,44.28473513464161,41.545208191749346,44.34289920495773,45.13741731443952,40.29372861004154,40.12552811372561,43.446662098723344,42.129107112622584,37.51377370212789,39.76828385257203,41.13087547481199,36.65367663351926,36.23513052535017,40.36785903896309,41.750497992499646,44.97145029352617,48.31817671688143,47.45399632658728,49.224830092072786,54.122142497935876,56.57343378692823,58.91832445117278,57.83125157161018,57.354166295799445,58.983602017598564,55.70784587601763,60.40057912829473,60.62640080069543,54.76298045568639,56.55132759192105,61.18331817656858,58.18953807318407,55.493770515987364,58.48498375871683,60.4007769341937,56.57415981568103,54.72923740188996,51.12075720250779,51.12517125897701,53.67083019719613,51.35419756610493,51.70266385799534,52.28987413977413,48.72445738850156,47.07245743622258,48.32174015100877,46.37569567660517,42.415929097645,43.44020797144536,43.11880709667792,39.99277146620291,39.66922177504622,43.89190862756158,41.96115352530898,37.86400535554445,41.834444170410706,45.37534045084106,46.34092551354024,48.94258349260594,48.37246176326788,52.84705570669656,51.833966061838076,47.448280394249444,51.20947430817773,53.69217808707835,51.028503072591235,50.35655888280107,56.226216161709836,55.81951914802525,51.330874630199794,53.790056848350474,58.50874212694711,57.03155499928606,53.61908934510969,49.142430998678925,53.62410061048524,50.006580243976316,49.33716070984077,44.3287606505434,42.92463649843409,38.17212918657176,39.783719287844065,41.47553782433266,45.13282198817165,44.752267166777436,45.01229993020183,40.58121695033358,42.82555376017138,38.83746255480151,36.55498334501657,36.73880779903388,37.321172364271035,33.73850026007676,32.860690208989176,33.29858666189994,29.66798726861853,28.057960433204396,30.196208051790798,29.66639763101329,25.526265010006448,23.19124078572866,22.70000732584679,22.483983299726052],[37.31010928855632,38.40932449002747,40.25293785031467,37.6315868520445,40.38038168290452,34.23339507109988,34.040023811393866,32.6863294422559,28.776214387296896,30.38885591103218,27.840574107416078,27.513044730615263,32.468610373855256,30.511600248585047,30.41277895282847,33.12929849798954,36.11470576363159,38.161312864071924,41.88944499378244,44.56725266415559,47.325120147269004,51.51457811502927,52.60021777763164,53.910750519243635,51.91918729685101,47.71068872536005,46.55565639131395,42.7254190328932,40.43749763626075,38.3370155834017,35.435916222563094,36.0032622375652,35.207379451769995,38.689839146443795,40.376235988199525,41.355184556704586,41.894862374176725,45.69976689152297,47.96700967612451,53.83091757315089,52.81218861885408,50.70864422776837,54.223073625787485,56.3915903986629,59.31292923581336,61.27072701982642,64.2871737919447,60.95857234483154,59.74379113735787,65.00616180153924,64.00638965470581,64.15611169765445,62.74510285273243,58.017023687706796,58.74068256076361,61.942281131205704,59.21346142643866,55.61099227440235,59.06531951928769,61.44842568354997,56.57400689156456,54.33000337720574,50.46356748771099,52.611810989768586,53.194246352628305,49.591198906856334,45.85337583369389,41.860200442315175,39.95708407554151,35.549712387360316,35.916399718429545,35.363130508117884,35.78809603290579,40.583591908511885,39.24659954280528,43.104692326021365,45.46257605799702,45.60119731416195,47.46957197827316,51.177455457708916,49.89153202264645,52.69250291505109,50.666602723402555,53.53938841832621,52.34470703151656,48.46033058887596,48.53607211996901,46.24565851838834,45.17225968169639,43.42607978521418,40.63935023350701,39.97748296579534,36.25979939747428,33.858583031952335,31.752699684626343,28.458272818286073,27.28321411288865,30.245919052695005,29.752816455077628,29.768911662803145,34.934965108452815,37.207675974150455,40.64276870444441,42.12952288110698,48.06356729438939,45.77952103058776,48.94296994973979,50.927696745182494,47.99417188389353,44.758056565257796,41.8965652020545,41.692007555350706,37.36647575326131,39.62660040356857,36.74224740246597,39.29685061099522,39.85418103110799,42.72054230260625,42.592545544630305,38.60956324848625,37.204526636751226,35.15199175628624,37.73653466562836,36.86191838368794,35.62148990961906,40.57706077486246,39.17767274685904,43.0019186682446,45.82791282964532,48.706113518646816,51.27220995644665,54.37357964633081,55.889682145868,53.926452965347735,52.61906146702226,48.55111471332939,50.191661262367596,47.24027201341164,45.55899203048086,46.13702110618849,48.054667501355425,50.70083694351799,47.30400667970974,45.89829364625902,47.355176970153735,43.55622424225509,42.29064710426076,39.58638676196514,39.71019882347369,35.677355869730825,36.49830850292557,31.708690526609146,33.37898780673774,28.55947929580614,28.02302161116538,31.957753995085316,32.861115537757385,36.61781795088685,37.39559197860329,41.64475486226419,44.61102471847022,44.654838139111185,46.99891392447107,49.76362511245726,53.641200188251844,53.6717086851075,56.50854826307295,59.70864899121761,58.09572627830619,54.30376626746279,53.57504111867508,50.25211462941792,51.28645454631352,49.9821054591971,48.31711887728833,47.10644418063551,43.3902589413216,47.35736689966708,49.94981558870288,51.403331362267835,53.13119777802509,49.89805130902199,55.70628452385586,58.98625760526052,56.76574359893094,57.8249865868178,55.48067467330546,60.87720709998886,60.608089814735365,62.81659137343086,64.06211903493846,60.972167591723036,61.70244830967369,59.92625499149833,60.22028000917118,60.94122667835007,57.00278844506014,56.885827884134436,54.534223839871096,51.10943789447647,53.69173449119073,50.17129263791145,47.490763559288375,50.14367248852153,50.82547476777698,45.98571792678378,45.75648751982427,48.93972879912702,47.51644643439419,42.89704297215129,44.98467780432215,46.16820655320395,41.6955413067273,41.181756521400075,45.105836144002886,46.69138997467547,49.734411963427874,53.33135284347351,52.65277168377195,54.284248457504106,59.285829922064295,61.486189521808,64.05399797246257,63.085936025126045,62.811741839527414,64.5336885423415,61.392532503749635,66.14176244296459,66.28247570271367,60.50574545715617,62.40583757581659,67.0287122673016,63.98451479941463,61.39173887913103,64.46695838820825,66.27660784678585,62.40256394496639,60.737809922800544,57.03812349448842,57.159823702217665,59.6431043072351,57.194129079400135,57.5569974660347,57.93953517504333,54.50314582720984,52.93735092512258,53.9499821629409,51.908703131494995,48.11740666803341,49.034853329404434,48.45316410452322,45.29073399455378,45.04074771675786,49.04813257956816,46.89857688799202,42.827162064623636,46.78440297599006,50.22212671327638,51.398310680259016,54.13659228383252,53.81323968240805,58.2782320466804,57.062693933446226,52.86031512052732,56.7846029757165,59.11919620352186,56.402986637071706,55.9786634367139,61.80117859153948,61.20903061361298,56.81236711118696,59.470835081508156,64.07169234080169,62.42046133932353,59.0429902407666,54.50987811413064,58.83571398525271,55.08393647504971,54.30716300277102,49.38343318304247,48.20169565194467,43.438057686726815,44.905417226607916,46.825709361461165,50.49395257088635,50.33242432595066,50.6978649310217,46.43983348824451,48.81927471909841,44.88714206289816,42.43107840103567,42.68841784244372,43.10586347475597,39.60736062706765,38.7926812631635,38.92799452942192,35.2882310976055,33.98821404662662,35.760279507591925,34.990400798888615,30.87231922684206,28.64073809783812,28.11021597039282,27.842349853181513],[33.70456353778037,35.0090331412445,37.327626711041304,34.6081437687929,38.05140598108577,32.036415844560445,32.370175185300496,31.630695693119964,27.738716110227635,29.68125515358662,27.686799474258745,27.866606284512283,32.60197668070994,30.327275695043618,31.162361200409094,33.997164500903956,36.44790006022008,38.9558077006708,42.49353824309369,45.42006123689693,48.248141280579304,52.540087109191624,53.50660303497408,54.44562957311925,52.41635850591615,48.05681010999899,46.84734492227219,42.87706925213662,41.045668612012435,39.152241448248894,37.00623089831563,37.464692189839035,37.3177138598436,41.028517872354456,42.19688000790673,42.767070090176425,43.11821880658449,46.54927190680619,48.47143250064158,54.504077179503284,53.09734375314643,51.420307737326354,55.19388279320031,57.087341401496815,59.87279541629335,61.54083160960252,64.80275417635052,61.721259341104,60.13887787542542,65.45706129367738,64.84959163146267,65.0357001862867,63.91624281014921,59.02508888859486,60.220869098299325,63.45524647190265,60.499882099407536,57.167981863746775,60.90947833025858,62.996846807446104,58.07651933457087,56.25806248296102,52.53583564812979,54.55308620217251,54.77026142673904,51.09856820271085,47.215417825949395,43.256352447075066,40.970979924775065,36.668474713003626,36.71947224252778,36.40472065473436,37.32672337469188,42.175623445857916,41.07980504555843,45.51765444231082,47.49625966628433,48.0778692795099,49.604196204129615,53.06374077492461,51.62007367008512,53.99134873597152,51.91201593327331,54.412921087118335,52.92177868843676,49.353260391598354,49.709217319902265,47.8114318533596,46.79168336227425,45.71090237499801,42.81677243482648,42.61088234518303,38.76886850857738,36.32072169835525,33.60976172615764,30.624112317407892,28.71510687902726,31.99670637567797,31.038890770349266,31.149751538690268,36.32764304299638,38.06397788554104,41.61364561397312,42.502613344296435,48.30777787882165,45.47325831393202,48.47941468006112,50.10753778683656,46.81074244812893,43.94629248052334,40.697640668014294,40.79835050961721,36.36429668997653,38.626117697133886,36.082446077210555,38.405118014486035,39.44394733541888,42.004431119837626,42.500121056094635,38.752819429879985,36.90575447683378,34.615872677728994,36.572282955628644,35.5601149772323,34.12465024366137,39.063798583999116,37.53940228161878,41.59659400076066,44.47407367613216,47.809124267400094,49.805780457993684,53.140790691411084,54.75330486712893,53.236788837721626,51.53543118885823,47.44955963151926,48.488743483736776,45.70489153801668,43.99847448479695,45.037544161886224,46.85661870993542,49.93353340180218,46.85952546206592,45.33708961329588,47.20572477404801,43.60015215641249,41.97356737918358,39.42149603289655,39.41090805211693,35.22565814293723,36.05202220056931,31.42478108534326,33.5057057803929,28.670663887928452,28.737436589964027,32.67277714824909,33.34935422830504,36.839877455118625,37.83896117952074,41.55301181382002,44.26694052332538,44.81405471335165,46.554568383212214,49.725980962541094,53.13119579041585,52.668885470138434,55.507520716904835,58.47749844518157,56.5823580328459,52.815652001226155,52.2572942418383,49.15997963971466,50.69627529833338,49.73894157804559,48.4651348666656,47.517011210952006,44.050765248032896,48.34568760938017,50.586581744953996,51.91483070348692,53.159562211814915,49.69757470954182,55.40054496381118,58.60621193946078,56.303059657829856,57.75705121935222,55.61689477792551,60.95622869012971,60.30568191415882,62.46401763394754,63.44198877258421,60.37878478447856,60.76326255883932,58.79526336705217,58.95871393482419,59.402818948061984,55.25776783364491,55.17651292853299,52.53353001031767,49.402505200820315,51.810974064061995,48.54636746568933,45.702907026223635,47.88262962391857,48.70756688214098,43.89624809172173,43.101025859285045,46.30070761292711,45.25465491430484,40.26884571021238,42.01769633995003,43.30597345208507,38.98643848737253,37.95600379707102,41.7354904343694,43.29812702387377,46.51509656521204,49.87806220829259,49.5705981090582,51.29852282754223,56.41426940262302,58.53518083427332,61.2867425102737,60.72634824133149,60.605059415949675,62.60566328353835,59.70917530044265,64.4287126564338,64.20247037235147,58.42379802576675,60.623510400577715,65.02260569684073,61.69764307078981,59.30764309178191,62.58859167309466,63.939762779802315,59.91525972199305,58.67884864040358,54.875942622981206,55.60006953472816,58.107087693612705,55.64977443052521,56.421640393041464,56.88461833953691,53.68510899951191,51.82790295339147,52.595185342608865,50.930065775060044,47.016368168782314,47.44514902730628,47.03169286445837,43.92553913382699,43.20423059960385,47.17937478188415,45.1581003606036,40.822911816571775,44.44553068326718,47.97346134720624,49.0231427719451,52.04309944564643,51.93227884181852,56.308428257005076,54.71136715129461,50.44719017901218,54.59850415141434,56.6017737792412,53.69085061699171,53.444193161169295,59.25264025817665,58.26305075556557,53.849176728314546,56.78121884386286,61.20722893529996,59.229762602639866,55.83546229259051,51.20919837315777,55.280311437891655,51.350905359699716,50.600791879648035,45.71846643238865,44.918785933036666,40.178015421638676,41.29012127850314,43.463143057076735,47.09497463280315,47.26377643799667,47.92466211930502,44.007824334342416,46.78594089396496,42.99980068292805,40.37846318320807,41.17046350602601,41.6200184510538,38.53353798993352,37.13235049079209,36.95593801498494,33.682420478424476,32.28807816052763,33.235505947462904,32.62406774388593,28.793461592406267,26.67820195711679,26.569606161127652,26.672931044712257],[37.475007884569074,38.64996163855948,40.836711068081215,37.73536769775478,41.21939810701365,35.34454407735029,35.38651605572569,34.84003365711716,30.623237990920938,31.982501615631648,29.796012731981268,30.351097311965155,34.73486457189624,32.01154269312133,32.63807404163379,35.67549287564509,37.97078852364052,40.060314957068684,43.19652873990048,46.394583086245106,48.87870638719888,53.28349903442251,53.96771656907456,54.917306794913365,53.22266434781473,48.85330625675402,48.03797817567715,44.22925093485675,42.508649179262406,40.95798077942756,38.219832520933934,39.34983197865546,39.01999107895243,42.3515299783644,43.76053372445972,44.160608684234326,44.998299454293104,48.120555183524864,50.130276664809976,56.26934486229985,54.59569002638067,52.590980641649594,56.377872634675064,58.42157841670618,61.038775791179575,62.85809827856888,66.03870727743083,63.03270984409054,61.713192747421054,67.08633510218009,66.46452840838653,66.85983947847508,65.61751281106184,60.81035001930586,61.9168235803855,64.89651933567029,61.80604913829503,58.48126537015027,62.09971385291415,64.03397021178517,58.95895343476344,56.94032108552024,53.25036869857791,54.873087923202334,55.3157138016328,51.896588097229056,47.630371950333505,43.89898526999539,41.308559878211625,37.12820425554658,36.916998408679234,36.105469099701246,37.323608517976126,42.13250918130032,41.51558178166404,45.75131292029909,48.166913730426685,48.8356388724987,50.661517324460924,54.250535034823464,53.22322811528004,55.757413270072206,54.06512982064337,56.64246638934256,55.0069336893444,51.32883812909286,51.27299406332614,49.56165573496359,48.029781500778974,46.908837679636626,43.71885484490855,43.09402977782117,39.42883748198247,37.35005269656969,34.889682753141095,31.678535821573398,30.037057690613885,33.862524114990194,33.35931249755636,34.04180180248566,38.82808371166742,41.12331581291834,44.270116618969794,45.59125202477657,51.34720103691055,48.66400561353922,51.92305580863189,53.47844857716568,50.254205478095656,47.39549991685349,44.083969166390936,43.7888417068763,39.23105287807724,41.10302165330136,38.14967148091243,40.208265759433566,40.91548147950698,43.24194835239807,43.242827184476205,39.74599486579426,37.86288797410185,35.92732219281111,37.97844648313038,37.39834613944511,36.412975659884175,41.51823577892744,40.57376447005139,44.52837050905181,47.583330275430804,50.8919909352584,52.908441910000576,56.387625528092315,57.7261572365762,56.25515241229639,54.3147315122803,50.11413370685848,51.19995218720164,48.071317154776075,46.04236106870742,46.96805263971136,48.30226528543851,51.19498820668558,48.135679889651826,46.93209927383995,48.83849107557741,45.37485304664985,43.89045110216947,41.64010854812766,42.011167659147674,37.999727006368396,39.27108779578614,34.72135134711332,37.08229470637495,32.481630953260584,32.09999617992658,35.85044598549848,36.21467756015574,39.91921469324998,40.45611125392262,44.45079597018321,46.81128671751228,46.979583552668984,48.605708218839226,51.749275186906445,55.19099056458724,54.63541198786064,57.767390271470596,60.61204559649754,58.91898482092782,55.02580076177554,54.66943500150886,51.453671943124874,53.072839532325496,52.198261936537044,50.8961139284345,50.148092296043174,46.45334756167314,50.87012838817289,52.95328870328759,54.52466839145964,55.63476889094923,52.528826519203875,58.20197317041838,61.315001164169765,58.85035442494411,59.982503029745736,57.575069600025856,62.87534104892619,62.03846426747963,64.4939813048317,65.6079145637548,62.69563404248653,63.27693411464963,61.47548301759426,61.82918175691981,62.42943617200179,58.27687654633429,58.45065125257197,55.93890783327619,52.906882219861465,55.55176091985397,52.39157718553916,49.39798624837387,51.613857845340924,52.6743175639862,47.86558744878913,46.82495007366607,50.23946845659912,49.45089089601245,44.315687742372276,46.019844915683116,47.49952517172399,43.24106943912253,41.98673129030818,45.81092356086855,47.2139871161678,50.66869054413307,53.678091325619306,53.51472584431099,55.41502360278168,60.524065305385264,62.741016538685955,65.4647175966802,64.98292067606741,64.76455733805564,66.7605249995058,63.78421130275019,68.4402708160777,68.21446574491276,62.3366861435038,64.47793563634674,68.81277239129429,65.4326740991596,62.96269598279684,66.1518585961735,67.45241044785001,63.397107803807735,61.991144904306516,58.41902246924356,59.16333390032904,61.8191362843206,59.572600330342965,60.34117532588295,61.0092229091623,57.65765667262963,55.732440515448495,56.74921927690581,55.14006111382384,51.10012569057172,51.61435357204152,51.3826472908707,48.29444945400162,47.50182549498646,51.58970298042616,49.668596524240336,45.29390376989253,48.86216938530271,52.44882919849232,53.38368129248725,56.40046655692794,56.18029446140031,60.54651522550699,58.986216378305414,54.574772598666556,58.663050164086656,60.67352223058713,57.71264045828538,57.29260282505065,63.15442404559874,62.11485752787322,57.55681966143883,60.40839981542777,64.88823481859887,62.84323229555629,59.34814000090114,54.6662775312592,58.62248517028333,54.59294169296884,54.12647047303393,49.15548375123978,48.563286210311276,43.84773061295511,44.63397464476402,46.772371729857994,50.29274668984249,50.456111696681965,51.397084262095824,47.39561843049371,50.17249576558971,46.22194410387881,44.07598823324056,44.932483189142246,45.61577572257423,42.43500001739066,40.883884328608175,41.019572826614265,37.81525031937788,36.01341307199861,37.11781131011071,36.81436775264012,33.035415503069764,30.837005838574086,30.775525813940273,30.822058214418373],[34.5133434923514,35.8409518669695,38.38169893325276,35.26873046173368,39.250546628774615,33.54279509976233,34.01270948426677,33.913015745645914,29.816296473766894,31.460708662594627,29.739518097898387,30.590808827532108,34.80384219060658,31.954558262971695,33.271728290211236,36.322598191016034,38.23687291223001,40.70583474732825,43.74406873337302,47.05521713869483,49.63284329852717,54.06875308042301,54.710726592088044,55.379259143294604,53.60898352474362,49.15418915474598,48.24089650604932,44.33063554800702,42.94069178211046,41.49717308004287,39.41162997710864,40.3423970707623,40.490367077957906,44.0259668502567,45.026597533306024,45.16638202137825,45.784713114173584,48.66934081120871,50.40250940757572,56.61570431599349,54.706624027222084,53.07847707764635,57.034382981222805,58.84142457211403,61.37355580906419,62.944614050698,66.30973749328192,63.48613565352772,61.85856166039651,67.24407405490726,66.91691825625665,67.30377241618037,66.29700198046054,61.373546404564465,62.835334000588894,65.86850326580364,62.64586438027495,59.534610283991256,63.366888375500146,65.10676427667111,60.042133278448944,58.37588347736278,54.797002534503065,56.39068381078252,56.526347415668724,53.02885288883435,48.74931152518896,45.02613040693596,42.23282522377908,38.145400530150724,37.75417306732177,37.21328498177462,38.72312544309044,43.538620189794045,43.00699364269116,47.66460947277173,49.717242931699374,50.67978291174703,52.202304281455845,55.57699222073907,54.370715909331615,56.55971130856006,54.77477189146743,57.062317912812894,55.24027131591566,51.82675659519339,52.038357802745864,50.58537873847694,49.1862071330855,48.545858869479844,45.35158943055781,45.125483309722924,41.36077942528853,39.19303743507741,36.29618702407815,33.36461797812278,31.203804168922897,35.10377683533126,34.21784773750057,34.868894307239366,39.67826951231387,41.503579462090215,44.76360132151522,45.59189571758717,51.22157244120538,48.13948235183295,51.23114510718615,52.522318412272256,49.04247140631601,46.480780538537246,42.91969651374559,42.89688030983252,38.3220251260304,40.22057622984233,37.60620635771881,39.50361812130562,40.61241398998856,42.71989638249984,43.265954804841954,39.93669003424688,37.75067340235964,35.60753296440838,37.14275563685541,36.40845791505602,35.23198938405904,40.24630040970536,39.15367194534459,43.25483711279036,46.30195071689091,49.929606069795035,51.50391566405786,55.11986928962352,56.555371551304496,55.42138939189287,53.227449534899854,49.05497041704474,49.67285864800398,46.73560493071134,44.74268240011174,46.02908069334194,47.34255830863162,50.56989325982362,47.77430253393216,46.44603528315346,48.64067944518052,45.32456855372844,43.56532275141645,41.40493882596623,41.62228129970319,37.52063656141287,38.72728417671807,34.34370747386092,36.92931959295566,32.36106352014396,32.443466994233894,36.167616214917544,36.41323173206096,39.86271544456905,40.61390328467598,44.151941368850956,46.35542930778669,46.94394192847802,48.13045632637453,51.55863779821001,54.62324937808836,53.71316343966751,56.79009365419097,59.46391074355267,57.53749203209105,53.7003173607389,53.44967609298113,50.4402611698948,52.414998758110954,51.791675349228534,50.78871720305006,50.20772070067692,46.74951370969374,51.355059781863645,53.19851534710579,54.63531780681778,55.40586913273887,52.10124979554882,57.669883817397626,60.72486030733623,58.23214623810607,59.697653118279874,57.491289668734986,62.73204449493265,61.640832610080885,64.00585309926325,64.89631864215944,61.99235614713571,62.28644344936733,60.328345666806335,60.55879770171688,60.92746920640054,56.63931146905598,56.80953020339479,54.07731782647744,51.277809427116246,53.75021519822466,50.79424285444456,47.7157776809848,49.552725320954494,50.69393781455572,45.945757803920735,44.50259230728521,47.885330576677205,47.37171179850135,42.017331092700196,43.4482219668569,44.98533780137331,40.883551617067084,39.25517600005075,42.92994836953437,44.30744662690774,47.85703118735898,50.681868637285284,50.79661564966364,52.74781795909082,57.914055479198055,60.04980585788725,62.90486536748221,62.72526161707334,62.628129244000895,64.82476696607087,62.0521959152791,66.67010676012329,66.1683076916595,60.32811894571127,62.68997830030684,66.84113432538868,63.26996752507833,60.97425008114954,64.31305360434659,65.26482324273111,61.11598917049932,60.06204678693811,56.40546519729205,57.59952274674694,60.24341289733629,57.98262597096701,59.05159811614544,59.75648355728372,56.61185757256927,54.49022100942848,55.296880605559586,53.97179800990228,49.879585090761005,50.0217764460545,49.904080727674696,46.8823480298386,45.75286814591392,49.77500126337885,47.96220690676835,43.4353093990861,46.720475896444704,50.342797512838224,51.17943872916173,54.38532929833732,54.33224706465491,58.604989185674356,56.76567444593232,52.34654692979345,56.58364278626278,58.331929555045235,55.24416634915842,54.97539419939125,60.788886173264636,59.45629855625096,54.92142299016491,57.974106516866534,62.29424399837052,60.01446241436952,56.53091678976437,51.805076010808584,55.55021712796294,51.412027035576884,50.94783420384566,46.048724438117816,45.74605882961067,41.08907396627018,41.60778270677328,43.93059334019798,47.40547720873757,47.82622237792158,48.96606009685331,45.26817775289406,48.32782274507903,44.537358385429464,42.24275410636817,43.486072922300885,44.16665817617349,41.33028613046261,39.37592475343373,39.254274703858584,36.36123300753553,34.544244161965075,34.999975257074375,34.80744261757197,31.3075801257817,29.241469117797894,29.49247055786445,29.81286642139157],[33.076837403971574,34.73012262098717,37.804972087749384,34.9226077176127,39.405197240374726,33.86773010532859,34.88399960029487,35.07636837621393,31.288324906930566,33.349256617626324,32.04483930885864,32.93272485721474,37.120907203409836,34.3569553444112,36.1521710675038,39.12449332996517,40.834678787210635,43.628737707987916,46.66809089538921,49.97903697380829,52.6716350652391,57.087614981006055,57.7498387669661,58.22467051885561,56.3546051626884,51.86390463663186,50.808263541057194,46.81455399034318,45.62641393905364,44.15753684709925,42.619512181693295,43.23075528339318,43.660695162016495,47.39695849462226,48.13445508381461,48.19528690173954,48.53542204113325,51.365093213769974,52.88653791657345,59.08898427077074,57.1028448295974,55.81865372430147,59.86485811967561,61.47597932385559,63.97949947905666,65.33331076307117,68.83686636404444,66.13079706290175,64.23107773830179,69.59013470536982,69.46759513237944,69.78452806291912,68.96674008546674,63.95982748982176,65.65403087071788,68.7917056782279,65.53864504345378,62.55774198719957,66.53141365705169,68.20157984376795,63.19295713402657,61.769746700995874,58.24922028334674,59.90707161399162,59.8311687438794,56.24745042748607,52.05166927693029,48.30655445676245,45.463806590381616,41.434693467222694,40.97998817784266,40.66390294250414,42.29302863637127,47.094015467082556,46.53062386789723,51.41079346757436,53.195715153111486,54.26829223187558,55.56978690888378,58.793963752822954,57.36999790941174,59.31003828870461,57.337956029226795,59.41769414761618,57.54010971165114,54.34698453349667,54.84988349327191,53.48386462819834,52.321515508126055,51.92574087258463,48.82577253663077,48.873896867295386,45.03811041011281,42.74265506136113,39.60545997027792,36.87550364732628,34.426778324451774,38.150822632036295,36.916495123764,37.26297886333944,42.24537201881386,43.53372009647245,47.041300864507335,47.35891693035519,52.899448277939776,49.483033226896055,52.289466615599444,53.409758155197025,49.69752624350581,47.39665920787297,43.694539243814006,44.097665653396525,39.607427730879984,41.662133999805235,39.479726222781615,41.30598548945533,42.80206439084987,44.77236963713496,45.82212336708411,42.59195209348685,40.215536573692994,37.86865314819341,38.953788216683776,37.99560307841187,36.53715340725704,41.359844848269965,39.91369743001009,44.15444575713629,47.08986561018364,50.978034267262025,52.14820669048978,55.79546432199369,57.43972847059185,56.57204479473054,54.28495546251573,50.20799197699351,50.380425794324324,47.765026828294765,45.91817486161088,47.546420013680134,48.9485929421275,52.477698226431116,49.90977303436463,48.42011119569837,50.81219766496844,47.584649735779095,45.59700539386244,43.42330136760457,43.38662698725584,39.1856543677983,40.1199864647503,35.86047959489029,38.383907645859196,33.71025696557751,34.360875488931626,38.145980953875046,38.492617701520935,41.64627412053399,42.74610906766385,45.83042007769949,48.05626943120376,49.080491155571025,49.9762292065596,53.60601148143932,56.35543554626483,55.185362126138,58.11048604863968,60.6590692025208,58.46734673479715,54.742862470946264,54.52581792061502,51.75544925005464,53.98485273147472,53.528297439856,52.75595703039769,52.20653152188725,49.01312539914952,53.650927391436504,55.41018718203662,56.65322365654103,57.24661997681182,53.666806008849264,59.14244218471721,62.17920243568499,59.74038392249399,61.56954356272645,59.60724306825817,64.7952397295663,63.567896153264506,65.76821944378474,66.43328336794326,63.49863691699031,63.48457783490698,61.33721107836015,61.379914660844584,61.4666846111357,57.07369593907082,57.11845566747696,54.11146689061752,51.502376231145874,53.6419301834042,50.829759347980314,47.793749307178715,49.203166281797614,50.24944121620154,45.59452487644321,43.89412290544783,47.05207765819928,46.62716801999328,41.19575846253844,42.30468558336075,43.70652032851502,39.772433890748005,37.879094454373444,41.24267780982365,42.753389891461865,46.160953949355886,49.07024235746452,49.46507465746388,51.30376154190878,56.53972813871578,58.42784373647175,61.50484934542236,61.629647061877186,61.78094316834356,64.19469781581907,61.714887025509526,66.33304163955964,65.54458289150156,59.84750133627029,62.472575821348215,66.46640113870934,62.74025356634338,60.69482610608623,64.23028121864535,64.84146256099723,60.62237492591659,60.04716138201101,56.1900734727599,57.81689031804017,60.34215473828206,57.9273729484106,59.26432648948973,59.820789995532714,56.99506050975172,54.778915161607124,55.183692487314076,54.052373447701264,50.06595973705223,49.7961002249137,49.58933068727512,46.62647123541838,45.26771886551442,49.05382137096353,47.2150563502271,42.61952690877284,45.63016058604579,49.18221503219885,50.06727048609066,53.488455337445245,53.746317726017395,57.90940241965699,55.71684554393421,51.468710175703464,55.91581182121882,57.343654216960886,54.157224899069746,54.22169197770073,59.91067676003128,58.25214459474558,53.87798394923346,57.22412545734955,61.29449562145057,58.75899196076399,55.372972133263005,50.64260611309302,54.141556710616626,49.915890603654454,49.26933886406104,44.57016342951023,44.548076819945386,39.983117910468614,40.33734908797307,42.92706642470237,46.38005610456966,47.13740396034688,48.3612072532551,45.08571232301338,48.42418598215623,44.90727537068894,42.210466839594766,43.77529531841051,44.271649477483564,41.83352109687569,39.65438137942567,39.04207430154125,36.422163959360326,34.93362723113646,34.60171543712839,34.26311671145782,31.062765519912507,29.242103472903334,29.710751265171393,30.26157978685823],[31.91118991315484,33.28008457500827,36.15414763758027,32.78126401287994,37.468691214916184,32.29740316391222,33.20682599047004,33.968642501353756,29.97837098864246,31.61568257828111,30.584726487139477,32.11184823002442,35.68174966102635,32.4499398035975,34.69983627776434,37.801537666581176,38.959497176158514,41.73653375632997,44.32844406065188,47.91168495766168,50.40948699930016,54.89485088597741,55.30629589786939,55.515423121249846,53.825545651798166,49.29255895233259,48.45703433946271,44.54773544191145,43.78646225177172,42.75515267859851,41.41589703285056,42.41041438921679,43.22090639876432,46.79405067408967,47.252881525619465,46.86097847937494,47.4103348518114,49.66772886791133,50.97677649784579,57.29387984646143,54.858862869257344,53.673812334408765,57.86354476437434,59.34987629871634,61.616213638618824,62.85712687809865,66.44651083078872,63.990268225357184,62.03397652070749,67.42635076964397,67.57624457346947,68.07837228429077,67.38806316683598,62.370953674640795,64.35119277539617,67.28616216023907,63.788776429301585,61.06817689047909,65.14661469870482,66.45778201423306,61.36624706038735,60.18829288541123,56.850998855057746,58.162690646135516,57.91121330212613,54.466631457105606,50.017414142038696,46.4928121948307,43.26294119665087,39.48197725008581,38.67817836386578,38.34153819591989,40.422038693962264,45.125777713637255,44.99014656524918,50.152076446679814,51.81633479577009,53.30210085528813,54.47487119418002,57.53068373663946,56.295490395717486,57.98839108195611,56.32487454153504,58.15691128916367,55.95454055298399,52.94855671080556,53.33692035476166,52.44522973222603,50.97019061012659,51.10926757860658,47.78167632761004,47.98060698070713,44.21237760364859,42.150483246728875,38.758293262866715,36.22056539468145,33.457737119950714,37.68301202222012,36.49862111120466,37.48207038059982,41.936662348340064,43.36212519671172,46.44960338874351,46.772926984451,52.07384570137264,48.500548580058776,51.47561979914856,52.2638056233358,48.48418865162066,46.44374135340971,42.50055581432828,42.60977763515521,38.02431619403382,39.64572295050394,37.3748431210535,38.79601892274693,40.326061669255324,41.894538724283535,43.03210900894924,40.18828454855643,37.549420438419105,35.335491262301325,36.04460243352038,35.34395459434177,34.184815835507045,39.02900105873323,38.139647656490325,42.30623682030426,45.415130491929936,49.47421794646881,50.33446933797273,54.23100992020742,55.59510041198963,55.04859379263961,52.30149113173997,48.1536883027777,48.04888961562012,45.225567917314294,43.11416004539213,44.88447572696368,45.84387256367104,49.450423729733515,47.1348012964314,45.817524403402835,48.464046825144486,45.53088823532301,43.44968148299856,41.67385512332656,41.89425373733939,37.868182076089305,39.266236826945836,35.32937188213416,38.433224981822924,34.25547681213344,34.70099231312983,38.133074134997266,37.9465734620497,41.05724320480907,41.804715637754164,44.729074373699966,46.38760506332977,47.39345561008079,47.77355881849561,51.59142590176284,54.02717999404373,52.49851614112861,55.63694761179399,57.92461372802184,55.78227713855192,51.9979000282482,52.05413762045152,49.338273873367804,51.91147243400189,51.759638499063946,51.237579077439925,51.07721173032048,47.90068610322591,52.83253142856141,54.14658454373763,55.513663831304115,55.62471884351207,52.29158930270469,57.598506984334975,60.459422767113566,57.83481325454629,59.60630354721956,57.57847724668064,62.641459939589296,61.032229371685446,63.41358593421171,64.02374055004786,61.26249852602172,61.225327751164464,59.152777723559524,59.32057662404897,59.435203536243854,54.97522768376007,55.33296031301802,52.39534177733281,50.07669359455769,52.45246116199752,49.94838555933454,46.649472283293626,47.90664112588663,49.37685541849297,44.797775833159605,42.540494782888246,46.02723922552293,46.19955054050051,40.45885365502085,41.422787326732724,43.23429171130282,39.50608627187379,37.133107263926064,40.59402537089854,41.718989008748274,45.62479560000436,47.75090373846322,48.38866896341706,50.579869144120245,55.75391763030768,57.895216070813774,60.847724120381685,61.1798267699053,61.14535164212672,63.61532265576042,61.092019017117416,65.54642678450647,64.63201579927174,58.80141066553596,61.42077270142338,65.19692635418437,61.317618042923286,59.233810185507586,62.69101867553282,63.061290155194236,58.78354707856502,58.13401501370661,54.577705986947485,56.47149431122237,59.197457467944204,57.131469070963355,58.658743477895804,59.62019709426065,56.68831938054035,54.21133619160941,54.924442829557435,54.128269046337024,49.872558783135844,49.51607889103625,49.784632014141415,46.936085802631496,45.21923930940387,49.21941948207666,47.738181761334076,43.0071398165261,45.74779528094262,49.45132223120156,49.97232914543904,53.40210360431066,53.464497072844225,57.53741077490564,55.355198919546474,50.80705889003503,55.14252231880467,56.497501766908485,53.20946095916408,52.98486379045791,58.71929060179031,56.93277783397782,52.336166067187094,55.57265338395377,59.670847279912586,57.017906672676716,53.49245843660024,48.70757736172657,52.01841883479105,47.69083774884609,47.498788411340556,42.67078359149168,42.96937701359954,38.504793340548865,38.328296438473814,40.842330955189475,44.10318386988493,44.889921788135574,46.54364486943677,43.293174703815616,46.73782262369594,43.132090271720884,41.04574150705015,42.92495280122984,43.8049134983867,41.48353806984587,38.800243273664904,38.57572488754809,36.311777035126845,34.14093382041339,33.72350058328523,34.021655115370955,31.116660154930855,29.254303275989905,30.04210448225163,30.763944041208596],[28.820940207959755,30.422708982345643,33.77902517526112,30.620213766155622,35.83417146202327,31.045926992460835,32.5521360276126,33.759900279102645,30.20048572506293,32.22818098216827,31.781310360873746,33.41378393992268,36.768668916885645,33.67442495175622,36.532615766629036,39.48303443626095,40.298781589523685,43.46918828483322,46.02495786190703,49.557108752462696,52.19453199896272,56.60255890101195,57.05135208274707,56.991185509464394,55.15687876036461,50.62489620702416,49.59537175925225,45.62437656790639,45.16752683750991,44.16190972681806,43.59824036253251,44.20626415373499,45.447786885491226,49.224648842280885,49.271060301308374,48.713712108425085,48.91365586154575,50.99988653174399,51.994909707316495,58.24781119180051,55.700078207824255,54.99640249726378,59.278372798522184,60.473326718633885,62.67710887782531,63.61001612941245,67.36716266603042,65.0949062687001,62.78065822053015,68.10410576265541,68.54623006600521,68.97228211848223,68.55084234864489,63.45560393863607,65.77253959894796,68.80259312890126,65.26221806961638,62.768384078484175,67.02975849679756,68.1982262971289,63.21778794910516,62.423755491176316,59.21007212819911,60.59721401425311,60.01769905521235,56.4760550253869,52.195839707714484,48.67575289136607,45.42585615961559,41.78159713619195,40.920201685477714,40.958514501278714,43.13919234363302,47.7630634670008,47.56313543960895,53.0332081388398,54.257023014567956,55.93551688967294,56.75824813103039,59.55406656753387,58.054203144645065,59.36370626351397,57.52067457679233,59.028474344575926,56.72140781953341,54.05290430983622,54.808251611695475,54.107559272306155,52.92528198460916,53.4774344582323,50.28482193570887,50.91073859819866,47.077330811018115,44.88155338831472,41.16161264570739,38.96586364787784,35.82315967212783,39.818704171153406,38.22449449036624,38.981949520242416,43.43968367299575,44.23091680127221,47.47121196408625,47.17719719325052,52.25162129884314,48.2881307983092,50.94181297908675,51.44418147192087,47.42183056098733,45.767917574835074,41.65789825914273,42.199134061622544,37.77522209075414,39.48814292298684,37.788866915622954,39.063460393100755,41.072686032429786,42.434077324558906,44.24638096678231,41.57184117713385,38.72841876097077,36.28044767358571,36.3790034508932,35.402458978435355,33.934069354098405,38.4422839127045,37.22859773141458,41.477550447526625,44.44376094431084,48.791107398683735,49.11423207252326,53.05717878288388,54.59790747006091,54.42692310924471,51.516147546308744,47.51631863925669,46.84660378134847,44.42123517926365,42.50246868083524,44.68166932801818,45.74010483179998,49.694792043082934,47.70378493641208,46.18995595224332,49.06809789923572,46.30815311319109,43.95452255671192,42.23130863443971,42.17180588158025,38.12763051944387,39.276531010516415,35.64202415103628,38.774680870119944,34.73083278749514,35.737776652004236,39.06631789355538,38.865499728964274,41.560186371034135,42.63607620477588,44.93512300857581,46.493886241586814,48.0268846675179,47.97688427272281,52.02447625390508,54.0095233230054,52.145175578393236,55.080350165742765,57.17852447821655,54.73451387310647,51.116802611492105,51.23354547448893,48.84218766460917,51.736243707884285,51.831533017426786,51.63917521927205,51.58956651919026,48.78013081200069,53.759524709110565,54.86811986211684,56.004260059487294,55.810167547610604,52.21677643931712,57.33210476789579,60.11814927034512,57.55118707123258,59.750397446905104,58.04125229964092,62.98557836644579,61.190193028161026,63.35495490898896,63.675559465778164,60.91130799629888,60.49649465667832,58.222643098310265,58.18775560341396,57.981106441207274,53.42046040474334,53.68876370101975,50.48466229284915,48.463030606816965,50.50706473549667,48.26582129865278,44.978756588472805,45.71539725316387,47.185152861994304,42.77835614707748,40.11489167192532,43.41486255899852,43.86558785438129,38.01393265757708,38.58251803674148,40.371051198317275,36.93697671841151,34.157574868288044,37.291140142734655,38.408392466529236,42.30131563049788,44.24884412316073,45.22801392139002,47.399081925746586,52.58869755927344,54.555349778145306,57.66935863076838,58.36277080179456,58.517488966227894,61.21101404563872,58.99427948649194,63.37465737924852,62.130522849807484,56.44791060526864,59.327342808539484,62.85942155028225,58.80119352641987,56.98631595908948,60.61737370017559,60.56972103854701,56.2293700626702,56.08681860458772,52.397616962695786,54.809617223391534,57.43506328636255,55.31119314233028,57.17112446121588,58.091263027398035,55.49293616008864,52.85473168445698,53.22412837479622,52.754579541115355,48.562952804533026,47.74027104068063,48.0788324426593,45.367498218337516,43.3000699989033,47.088377293280544,45.7372419447333,40.94343504153057,43.263590193875345,46.91683616002594,47.34230005832022,50.96133599082981,51.27295469005732,55.17130234481009,52.65085975755586,48.21371657625021,52.69670174971404,53.69204171353916,50.296640296291976,50.33524060982222,55.91494121649632,53.77597118054211,49.314871215232316,52.807781678717795,56.63074254736318,53.71049664895594,50.272518135290404,45.502790000402726,48.510848457642886,44.102022920545636,43.8230241873083,39.19682893711236,39.85641728273012,35.56503264564414,35.08778351082228,37.8413921639218,41.010927712492645,42.155723520595544,43.96709027984536,41.220897164141576,44.95836667591332,41.689010141459825,39.32077646597255,41.61544969088886,42.39496836730774,40.582713388278236,37.541242813782915,36.900639601355536,35.09475548516438,33.117873413704814,31.806816156135984,32.15625546024211,29.759067104432734,28.19737506137311,29.321428545917747,30.349815288073252],[28.86276377928363,29.93498574667523,32.74016939108354,28.957153119012315,34.10335817631838,29.731976894181642,30.858531972369505,32.55617908817771,28.736201549836114,30.09916697306796,29.828341745931468,32.09643780773966,34.72815900072639,31.15565514537281,34.30707255581022,37.363478444540554,37.636802208545575,40.64536221687881,42.6889758611158,46.477165271566484,48.848553936292554,53.30319236948793,53.47816959005498,53.19618155023115,51.596975946893174,47.0632100318109,46.324982579909,42.508289942440435,42.45306359518714,41.93517019658046,41.41540983759439,42.51409901061745,44.036063292466196,47.53607424091677,47.38076439286959,46.384382223276255,46.893575767167796,48.37440664826992,49.207613618000714,55.542849296829374,52.55921700581179,51.84771795723399,56.22230396047491,57.353248705270424,59.306449775165724,60.197322244951906,63.97782843796142,61.93290305375004,59.671172384832545,65.01833344587354,65.66588610246832,66.30951272626433,65.95197112087708,60.90298351714468,63.41712108429453,66.18439988893641,62.41790809171101,60.161027283734064,64.46028941338164,65.27748598468648,60.21898116705788,59.6024289870728,56.58251800749682,57.5839702288423,56.89122534289562,53.546502484055,49.013991645429044,45.76660983132379,42.1607957628339,38.81512815573158,37.61028256599732,37.57761466231281,40.16854742685172,44.62814607913898,44.88440658861059,50.52043393431296,51.68350936552625,53.73777858960269,54.48973760233906,57.138804361564844,55.91834085784169,57.0494268030438,55.60765547148746,56.92381071058381,54.31192554770236,51.779180339341956,52.304916920991886,52.07637318791607,50.501178345608054,51.52121905167795,48.09985534513059,48.793922936045995,45.09805809849508,43.20881378244173,39.357462232091635,37.34330492110609,34.02346700086034,38.50717198928346,37.105284279428794,38.59439766764558,42.39204093583968,43.51007795703837,46.19054370219764,46.10059306199261,50.91579124924949,46.95589704771055,49.8842006365109,50.104566242190984,46.142807839290946,44.66887558715425,40.405619415122835,40.44583055840811,35.937987170279484,37.08743014219113,35.15186485799103,35.97817291965254,37.87092464728957,38.81490074110189,40.548222332912516,38.29637118346431,35.256542630594296,33.052915730699034,32.86386466899789,32.276490558508655,31.27745767688855,35.826239290904546,35.399901974862125,39.45956936192944,42.63637875237146,47.02206371576358,47.17908629098747,51.35211081035961,52.49259641278435,52.55419604415425,49.204023240172724,45.11469824920177,44.32931043454617,41.55166682141109,39.2860938679256,41.47885262101196,41.99991207947665,45.911094004179745,44.130074725537206,42.87435703855196,45.94026364467952,43.49406528456123,41.141467012761765,39.8787950380618,40.19351715494557,36.42944177096841,38.16183330294341,34.877816866789004,38.577188024184025,35.12426345530211,35.699853182060416,38.59714797187335,37.818812753166085,40.5396269077753,41.10243506354637,43.37605589200857,44.302941375882845,45.63775304764363,45.13571801338968,49.28344332222366,51.03361519072291,48.88950343834234,52.10605296990462,53.96251318602417,51.69242808087879,47.97493590117665,48.37986594959617,45.96493378783376,49.1168512990792,49.47565574533065,49.463941765330304,49.814272905413226,46.948528586071234,52.177854319430324,52.844713431615055,54.17782625407381,53.5440266557367,50.347135222696664,55.28755199719629,57.87984845559715,55.10490716071536,57.08534871899714,55.22176148968857,60.02743223182448,57.88219609437314,60.29760082018671,60.64938095794799,58.093513657306964,57.78367827724863,55.67916450877466,55.85879108454996,55.805447135098625,51.24321689034147,51.906082416619434,48.919778722733234,47.13949347351459,49.573299162710406,47.60868644118432,44.05258260695074,44.81844867859878,46.771050463085494,42.44272754464112,39.33540590166524,43.063971011047414,44.093254785143394,38.02775652251783,38.595841937148855,40.85954834033154,37.60124288155866,34.502188569182046,37.85169510451276,38.473105097457136,42.91488501680965,43.96770495807783,45.05326873451889,47.6324669693691,52.67906527032296,55.015817997007666,57.87012528661292,58.622183041498154,58.46355966888896,61.093914552248634,58.70596577965099,62.893752587220675,61.66090636521009,55.80203123144393,58.53485861822719,61.89465460398377,57.76963960131181,55.80464585186014,59.24146190262548,59.09851560328105,54.749046885340874,54.30127585561337,51.04850859642682,53.53309032998356,56.409368695090606,54.73431059717511,56.658309976437735,58.05417396124486,55.220496191274016,52.37466170721535,53.24233073034379,53.027235351950566,48.547926498740104,47.83407265321513,48.69186691185175,46.09229479597002,43.79636616472035,47.873793779015664,46.903440048461654,42.06356627616149,44.22330603785561,48.02326395752764,48.05539525273885,51.54510865169119,51.505214132272215,55.335230436369336,53.015798309640296,48.22144287204511,52.45002203227698,53.51861425207194,50.091522579227785,49.65996057504203,55.31193664772877,53.21231205778656,48.46354000230172,51.67204432926723,55.625838910804234,52.724571159827256,49.10612607268119,44.309877021030935,47.21657710744854,42.76569815754543,43.08879241905008,38.26479982474614,39.12646251701287,34.95129266149547,33.97029666694319,36.47027336356215,39.4043414714587,40.40564536856235,42.64004996247739,39.746182905293466,43.437845667171466,39.977800139065124,38.482959746369644,40.94301378351108,42.19768809226184,40.34769881955642,36.919300633742445,36.92007789047655,35.3823059194819,32.58378951653243,31.56584700013523,32.649593365068334,30.46267047223589,28.781769822430064,30.095451722138247,31.163635736804707],[26.637340661521204,27.978241151267582,31.282378891035183,27.820878960322073,33.419327746584216,29.423458975559342,31.128230242823307,33.12068278259015,29.780053896828772,31.556782374655498,31.744631087755888,33.94382997073235,36.49212131302925,33.17342672712201,36.71494436501268,39.59220940687653,39.68082179067161,43.008118639033995,45.09523700793292,48.7608892427871,51.276414026403934,55.62729392041517,55.879889405205766,55.4132073682241,53.66278623989853,49.16511081728254,48.21824262720302,44.357605111483,44.48881129003045,43.911261286246514,44.01280995017948,44.70370852365258,46.50171000391287,50.189245914132826,49.74620559624961,48.70402945984221,48.86995608430353,50.303742998385616,50.895306602436506,57.1193754766191,54.12925032691993,53.83395581854788,58.242774684378816,59.126270611659976,61.0568768975767,61.68397703813951,65.58677172034228,63.67389439970649,61.106873717309334,66.36750980729377,67.23238355392003,67.77163255100388,67.63327706384004,62.531100913896076,65.28609244308127,68.16497791904627,64.41480584132654,62.31948949124709,66.7451644703989,67.49640388888233,62.568772896570515,62.23826639505403,59.299925062897664,60.42763165881771,59.49153479582519,56.05186211611124,51.732789793135225,48.464182299693064,44.939769934270764,41.6810756583866,40.51160697626704,40.79113388640117,43.35154256421781,47.73930568784156,47.85603272901146,53.66548491533309,54.48485375060723,56.61088346062113,57.09324638691316,59.54366884129268,58.06552170170332,58.90569457800086,57.2549343948671,58.324969273355805,55.68926865221792,53.43391423564293,54.30115333685424,54.14986552080037,52.891791823839405,54.151262892812476,50.899810884249575,51.91028337655583,48.15936697290466,46.12002510266634,42.074138021378154,40.304171941190276,36.76713389176182,40.929744600044884,39.186692144242976,40.35002716104674,44.233560384811625,44.77252837067137,47.650338353701265,47.012937586555644,51.64228554634153,47.37487479030268,49.9602285618622,49.96815483895964,45.81146631363,44.66787524779175,40.31754927479455,40.81258091300968,36.51279161222577,37.81231379119966,36.44125667001955,37.1991313493675,39.50414251945257,40.325344785273614,42.63480921762767,40.478143607342965,37.34089503445524,34.92964206186221,34.26017676972268,33.37386313384734,32.041841974996096,36.21182759427879,35.385796887876786,39.498515954329534,42.486496924216944,47.090691665110796,46.785089087687766,50.94316646244148,52.291490781718544,52.65507865111257,49.242974553687084,45.32908892912609,44.050333350432744,41.71130615999384,39.69469439045125,42.23504112000597,42.92134279979726,47.11487320832942,45.602001082499626,44.14503993072823,47.35496994052622,45.0281982956501,42.46494321442511,41.18644795074803,41.19702279228491,37.41771891083542,38.82428215576509,35.78331743598511,39.37048583089849,35.9766444023175,37.06224083427772,39.91781112810764,39.23392828140455,41.57689763822351,42.49205569587844,44.22143210367397,45.15128714942306,46.96014602205169,46.16265755334558,50.46089986836448,51.84289078092753,49.45557534902647,52.42691453311422,54.136635229760316,51.57963110140645,48.05131339169279,48.468617873005456,46.36912801304528,49.74516719599226,50.277835167985465,50.52313672826577,50.90172050049161,48.374452649908314,53.5663019882351,54.12854558961336,55.22661227667445,54.403578993578066,50.9411624262697,55.71041922191257,58.25246724945423,55.573880044657066,57.95078073763856,56.39809887314912,61.09571896821042,58.85405320152423,61.02863830296291,61.1174133305799,58.544804528760785,57.88152238125604,55.58223201578581,55.5470524225204,55.18093158085911,50.5502746051938,51.07427932932972,47.82996178285823,46.30511627907927,48.37048009075623,46.62563745790058,43.139053899534595,43.41275476796146,45.296739546859904,41.1508275211945,37.73537862294039,41.21278056199003,42.43321118065855,36.3392420903455,36.523843750851626,38.701684915033326,35.73470490252251,32.3069700290411,35.28726092968388,35.93754785428097,40.29127131262783,41.24383780407098,42.64762834693555,45.1543254189964,50.20680553014286,52.34036205309247,55.35487911793264,56.43192571560742,56.48502565307528,59.31976630202391,57.239420468713504,61.36859755996689,59.83941975188324,54.15739174553834,57.13572626194067,60.283235283432525,56.01333036255778,54.322625217474965,57.93154265081875,57.41164779940177,53.01955567641796,53.08524422549809,49.67023419529061,52.612320348697835,55.35071194372585,53.57358101728249,55.77905715397892,57.068911155754726,54.57536104201632,51.630883551805944,52.122813581830904,52.16556555118929,47.81071600871105,46.67152214256941,47.52206714569733,45.05019586861928,42.487087833268944,46.30795935734243,45.41688996481081,40.567031503893425,42.3437845696813,46.0540195717105,46.04105070439522,49.69842047580518,49.92648031688476,53.585636411580104,50.94369145947181,46.31691141261721,50.68897130950045,51.41064888308601,47.900846183901336,47.770883765861555,53.24547821864959,50.81801519183775,46.24494859058699,49.71670124787014,53.38325146270921,50.23158126360474,46.724881686611496,41.962757719157864,44.57164772048912,40.05341090934812,40.23222984567136,35.64796516267728,36.851999873939725,32.872057100975915,31.632316731451176,34.381356543741404,37.22949542448628,38.59650628506946,40.92902478208884,38.5565378318587,42.501229673129046,39.40715917627486,37.558585009293935,40.354242155871894,41.44532452378637,40.06441544674556,36.412123710538935,35.957221949813245,34.8172247106152,32.338099267063676,30.481805522021684,31.512681952423883,29.790240730983996,28.42834390352294,29.99171019834243,31.298085386958316],[22.39692528560615,23.922707695520018,27.4538149316395,24.370611704529974,29.999865634274933,25.816619902412842,27.870200538524475,29.71358895405551,26.737802071980223,29.0573377405071,29.437788542101085,31.29581862915176,34.08840827845116,31.23276073136389,34.87091785660062,37.53249200479203,37.80321390053184,41.44888790357295,43.94118935101979,47.30124726196216,50.12788938377377,54.35058646639054,54.89983833757355,54.51085742702594,52.4371856590583,47.976985709178294,46.65183487529801,42.657094699469205,42.615387601626416,41.704555602277566,42.26223247908171,42.3856482749421,44.29014100690548,48.233868183953376,47.63298170326395,46.78260782389858,46.533162666667735,48.28018457371694,48.834026273244326,54.92553005701346,52.26207852679912,52.21016873766908,56.559195992801236,57.34699756482726,59.46978473558103,60.00695401186376,63.93969677892789,61.90119503475764,59.14694117525304,64.34096274458481,65.1450040687921,65.47855082414918,65.4125552915157,60.26133215518066,63.0256899916012,66.13178975820686,62.554026986909236,60.40828339146332,64.88978499612398,65.83742281857768,61.064349161475526,60.84175313787398,57.85483013527511,59.35796278311696,58.28769652306572,54.63225676103105,50.695575568198336,47.216968296790405,44.04507002926447,40.6583131616139,39.78640683435408,40.458581599257364,42.653967221882645,47.067528727642134,46.720189015603914,52.59236623063653,53.09485034156278,55.07398977823301,55.342677554439845,57.70498967299594,55.88032965919604,56.62223452636257,54.63020166506348,55.663211668204234,53.20313663475338,51.01989063130508,52.23210768339575,51.867801456103535,51.06486586813066,52.27652124850764,49.30524910753498,50.6020716461539,46.74368039321642,44.430041867352095,40.266614440155195,38.680732943755196,35.02103755005019,38.677510805350146,36.60249270240764,37.31450726145828,41.41579111808479,41.47580822219113,44.6561434593694,43.65134876486256,48.29803070928725,43.923664865653805,46.27471185804142,46.36687813091967,42.14711530255241,40.98706746251687,36.69711207809654,37.579361862127215,33.41126940666676,35.10769075306734,34.13648675147535,35.19543691596844,37.7755243193657,38.90164385162772,41.591581107978435,39.13361054465875,36.11531491957332,33.38544433485377,32.72407504114259,31.37962624892766,29.56715851854381,33.57034892083166,32.11540266108768,36.34605295136891,39.15814340585143,43.77329052942566,43.49790144040772,47.50375298115818,49.131038002913414,49.39738667887242,46.264889937037736,42.45753806586817,41.20009165247339,39.20475473787708,37.543906273792594,40.141515689906,41.38927015033274,45.700704465466885,44.09328628538865,42.32101410594834,45.424431104682064,42.92598506171843,40.26929724790222,38.67835923304216,38.32699595458231,34.40812524970591,35.3937945762402,32.350130605394654,35.696614478620056,32.245622365351615,33.70536681887295,36.607212381967514,36.16337303563185,38.27307411179415,39.58506734509099,41.050071406588856,42.32841562756411,44.46000168975811,43.849331057231375,48.12090475211657,49.541243542171664,47.33661578171979,50.003915999527344,51.903401262162774,49.1682002966713,45.754214913597814,45.917292537249054,43.89756949130299,47.12275661121478,47.52887584176366,47.76137093064951,47.92881489419006,45.60983745659754,50.64405549228983,51.37443719003629,52.25294636703228,51.60909190879885,47.82203650330273,52.63265838424697,55.27989877118938,52.77110651237819,55.41850331175217,54.099178229253106,58.8507420415355,56.86932640640797,58.752237695803146,58.75347077133874,56.00679531800336,55.19785893833562,52.74551700392407,52.53014130702987,52.04017414309387,47.41785985400513,47.666106853627326,44.29066662848223,42.615942101240535,44.47184177580315,42.59254797576125,39.23581992576047,39.50593174943723,41.16308575682701,36.97209442531046,33.78374237023608,37.094706633256656,38.06574477710218,32.039349306854156,32.28655318173491,34.322162853272836,31.25004142126858,27.966463663176775,31.00085428511377,31.82601393782044,36.02562672926775,37.400024881989644,38.606744572437485,40.972366178973594,46.087620346398275,48.1841070906011,51.21903625997305,52.16657454875049,52.288632750543066,55.111015025190106,53.06324100588389,57.28190383144586,55.79338566933902,50.16025091324347,53.18173958150913,56.44988170152299,52.24615215615652,50.59119036468601,54.29546958295098,53.90598230472829,49.530830438630744,49.70605454416297,46.0239471256419,48.89456328574499,51.497633213701974,49.50439139063796,51.69162181701056,52.79684633205233,50.42071502751584,47.54380172425242,47.82332634743879,47.81124617602513,43.55730923832284,42.34296177669025,43.051546904163715,40.56674251116528,38.03408654738557,41.789780311635965,40.830020399419915,35.982223888877364,37.80644493199286,41.50657999888993,41.58361908399133,45.25457652025333,45.56054238696279,49.262925060861875,46.60575718455488,42.06564391602196,46.5224346662171,47.28716335110993,43.81012933717814,43.8297063648918,49.319486527677974,46.98606229843624,42.50158664282629,46.062295106475815,49.7530205190839,46.703654520150195,43.25914692447997,38.49530209728932,41.35717020659426,36.91787772672862,36.74103349015336,32.13196528807495,33.044125956856234,28.92621733266575,28.096716028873647,30.9243592974165,33.99283179975946,35.32980321033793,37.326378315828656,34.969455974844564,38.930129543590475,35.97120874207546,33.61259364853632,36.36753118528023,37.25271722573494,35.98705812372289,32.42372395542842,31.667077725846735,30.526637004748054,28.384922662083728,26.269320517981548,27.077862695098666,25.408973433353438,24.17005304405706,25.797223565656747,27.23123676490811],[24.26956860515305,25.444848104436897,28.343524408559567,24.878192264024797,29.962377746124247,25.260270178137862,26.654103380536277,28.127799036275984,24.578892716766962,26.53419308276704,26.41375991439162,28.31172107762102,31.286906056159573,28.196948010950393,31.45231625081798,34.300015566253165,34.82166064020222,38.201989897805994,40.75074082530474,44.200259903366764,46.94448398105559,51.27242186359998,51.79762590351021,51.62809758317656,49.64940575984258,45.13901316904005,43.96416774390646,39.96987845614126,39.68141118958893,38.76654820435029,38.71772337319634,39.188568253437694,40.81808932603593,44.62869485324208,44.31244084244663,43.54497148798481,43.60322369627633,45.471785645857956,46.29592234046953,52.51422045759509,49.90727502811009,49.43138051619296,53.74628399755555,54.79594794311662,56.98838810508845,57.807609410140294,61.622209879739856,59.40630578970929,56.95170777839126,62.250308817012126,62.80251756268155,63.218834512651895,62.91625185160604,57.80232604437699,60.30491363060287,63.33488446345901,59.75614395716137,57.41447224950331,61.78193915554142,62.835066510598885,57.93484202190775,57.416206222403666,54.32101504561211,55.76701084806119,54.93361983204122,51.32585890815966,47.2164273223992,43.699780386415874,40.498976907306705,36.965481137724815,36.121326569232906,36.55605715243898,38.70451087222771,43.22396028386735,42.923183978303044,48.65030166334917,49.46247508447012,51.34267262766462,51.866399223533016,54.44031533879474,52.83234353501846,53.88565931341602,52.06366746413716,53.37602761468866,50.961502267818204,48.464945963190715,49.35835414593736,48.86781174895079,47.78985167496902,48.73387763633869,45.6144539868346,46.63276180415379,42.790136858544415,40.56792906862885,36.562065837187134,34.73267899443697,31.246818271544058,35.19872045349427,33.427149988609116,34.449416982807456,38.52134555580815,39.17611957398504,42.19415961005293,41.76346068624762,46.653822981299044,42.60578552440489,45.34063767872366,45.6954813889897,41.69013297526316,40.12758971881095,35.93116929725168,36.32201243033081,31.894958194695167,33.48890533481372,31.91208619775379,33.11811928853142,35.2958807283943,36.632465485970776,38.767785083723396,36.121262144527925,33.21596199566681,30.627642115001454,30.517380340565495,29.415343675925975,27.890331143501456,32.35534681409726,31.280452574744313,35.48639079145785,38.51386759221002,42.8878679044093,43.16522994323956,47.17925836839638,48.601039037772225,48.50021791806144,45.47043518455565,41.45760558694843,40.78182982907987,38.31101490558026,36.40742629497983,38.622665854291895,39.78669954987557,43.81757450738417,41.88025040083261,40.26818692935693,43.202979461815865,40.522500707217304,38.074501019627036,36.43386546010583,36.373250383275945,32.41729613651522,33.73786281764542,30.372202000665194,33.85444370711854,30.30157225711962,31.21465729756717,34.19915871554235,33.67351728165278,36.211296598749115,37.182051561983286,39.25452651333849,40.59039811328463,42.23689522593812,41.996844207485545,46.110726386504126,47.96778198962713,46.06435839864109,48.97464971344264,51.078655943820706,48.64100659664694,45.015091127485455,45.12566322037441,42.74317600166509,45.69573092051827,45.881089394958245,45.81502424536979,45.916882666436074,43.22683451720316,48.30605073969951,49.185880326821824,50.30444718081136,49.90337609276284,46.36115863375782,51.39400842217137,54.122697929444136,51.52045364365291,53.761242538763575,52.121352638368975,57.019697933441684,55.18538588129254,57.298389576844336,57.5836779117918,54.82713697797019,54.40015067071252,52.146449374738786,52.155848270188514,52.01557376199398,47.467324220327704,47.84620500673814,44.761070333536296,42.76114368227979,45.04224265498248,42.88473763585725,39.4509927540815,40.32158617770198,42.04484002004345,37.6276451595843,34.838468407727,38.44632889007838,39.16532448459731,33.1869660319231,33.92071867133585,36.054371816070336,32.621891242206004,29.774268721286056,33.268274647414316,34.053654006735435,38.34598826729284,39.849644516191084,40.647108222776616,43.09029376726477,48.1872749737783,50.52849822923538,53.35724692571429,53.89932382477477,53.76639990190638,56.34188880980227,53.92667899041413,58.22311880670314,57.092788179129265,51.25307344575081,53.984561816423856,57.51894064809591,53.49298395703512,51.51288246792842,55.023376868053816,55.093770875666785,50.77228707025911,50.34745228289367,46.82982194912223,49.148021808191416,51.903181414120745,50.01102769632425,51.86136668515638,53.0803949212495,50.30499541519539,47.546956578403105,48.262730044718104,47.93774348731259,43.535743343085315,42.83030197056786,43.54349321279344,40.90292891545979,38.69615714583055,42.76596779930683,41.71229010077142,36.88015586025789,39.17860683542244,42.98473360738997,43.115592740729106,46.57324578377576,46.552793408260136,50.46218839929649,48.20181151030518,43.46681204663615,47.74716598756901,48.93670264388008,45.56874290955165,45.22935567267866,50.92802404788896,49.00390748838889,44.319892054602654,47.56323529241926,51.59936064525315,48.86437820060026,45.29415598060872,40.49794428885015,43.735926823496285,39.39415168833828,39.372818458429215,34.48141810129105,34.949673041553545,30.595080190549776,30.112889993480344,32.6255364368834,35.80991009474913,36.694812862395715,38.54240937220402,35.547723531932135,39.20654898645648,35.81154925519907,33.828164497920035,36.17195032508079,37.24059624844952,35.40085730635256,32.11377574708616,31.898890579333102,30.256516186540455,27.730165627590072,26.652307587777344,27.51228663143999,25.234152199424695,23.601613877671923,24.95057555776387,26.11925680886849],[26.157451075760225,27.591362916566837,30.577044025506297,27.516059499119407,32.23476247995731,26.970698020470543,28.25165951238572,29.001292949810946,25.392731921679264,27.63045790104791,26.97997888912733,28.278781953668254,31.985284173533763,29.203686686264057,31.832266831324862,34.6846990909426,35.85242022206328,39.112088351013846,42.07850863659767,45.35597001551114,48.21923320222354,52.55337845360447,53.266357341822314,53.426874929651696,51.35828955578666,46.85563137126602,45.5779414195536,41.50997682408726,40.7189436635123,39.40250345248185,38.84879435812335,39.15728724618713,40.30516776436477,44.22179689642306,44.306994423353274,43.98682646229308,44.01054710450724,46.460632600726775,47.60467179648177,53.78893558304707,51.59310253472458,50.82859928013564,55.00999289217106,56.285521960799386,58.70541311022603,59.74292487839557,63.43280352003988,60.93402197642814,58.65963478833412,63.97518292561224,64.19229792864745,64.48481779627018,63.970248150349356,58.87209791664827,61.017009044417925,64.19006256829982,60.81466248708971,58.156752368423476,62.385149309847115,63.7936406094183,58.89291842609449,58.01182180518474,54.69478203163193,56.3979393710287,55.84209340401883,52.14037247698786,48.131431308725794,44.402022954083286,41.49355676367626,37.650688579720054,37.108483143182994,37.378110619179864,39.14951384971288,43.83905556591356,43.218385493828166,48.63944790791089,49.748233330916676,51.2235154397584,52.00334214464862,54.84323743437225,53.17322645339432,54.59676263767416,52.56926214566031,54.2307460146622,52.12299219708265,49.31367996502236,50.16289097658206,49.185815309286596,48.24348361745295,48.575723541370245,45.55935279843032,46.28336328466666,42.36654370418717,39.974445258870716,36.25963643569704,34.08599831881521,30.961687376417967,34.653423469425064,32.96849581254899,33.52930610365332,38.14643541754976,38.93103133400781,42.307409814171265,42.10237633489692,47.339794240470304,43.546574512397896,46.26489964786559,47.030378773904985,43.146905444166144,41.189302304871894,37.24206694568306,37.75018530877743,33.302830102208965,35.28179672386706,33.52466838769419,35.17206816048763,37.123344553124156,38.90603082117386,40.671272613321904,37.60250077324769,34.983559859384535,32.36406932303112,32.869783468652905,31.659339556921363,29.98396808568327,34.60874243983298,33.129544876954036,37.40760993851545,40.34663837687547,44.483588331164675,45.24236098155578,49.02968310473744,50.647401694959484,50.12219591984696,47.55208421343183,43.52936416400929,43.315070428690355,40.87103062100325,39.11771883097299,41.047215125514626,42.54909986726407,46.37978636819638,44.08492191006107,42.405032223559104,45.03997393355284,42.01345892057631,39.744048285255914,37.71075532194727,37.53159574792978,33.3714847931798,34.37367808242415,30.520090258391974,33.51080486204171,29.362586789763412,30.282508784331085,33.699138369931994,33.660959967124775,36.44410087911881,37.62239987396715,40.11379587264014,42.01728540198645,43.480352067105244,43.868665333742,47.748506688143564,50.06736193358384,48.597082725928864,51.41171624924837,53.81442306616413,51.443512982498994,47.80079545016697,47.65178557720074,45.08861953662645,47.62530772863758,47.44615609012949,47.02866910953559,46.743501365472504,43.87092130643355,48.717491864221074,50.07401155041995,51.17942770411724,51.317060042991805,47.63471881832211,52.91741944892992,55.839872592889364,53.36873238569912,55.5051648183069,53.78935972634581,58.85905241519465,57.41425203294481,59.466003904641845,59.90911545662775,56.99987357064726,56.73122178336845,54.48062781203459,54.45382534948585,54.401030220213855,49.93284336487361,50.06039408566106,46.99148443381496,44.61379107248228,46.79430663393933,44.24863586714388,41.03723142735702,42.22845550869109,43.55637717585989,38.977546215379036,36.840884302687634,40.20681144743449,40.265430063239684,34.56435586045885,35.56692840710175,37.31677293447871,33.550611819148386,31.270385001638598,34.79056550409393,35.97828129740587,39.81200442271224,42.14195889727796,42.62317255287359,44.74365739414554,49.92558715299271,52.0790165689028,55.00225932437078,55.25781572743778,55.24657582024046,57.7180621069418,55.24243930575139,59.729592455267,58.80638752992403,53.02545953900774,55.694413470179185,59.51166622992111,55.66731901645512,53.6366752431521,57.174347685402594,57.589017821507824,53.33042838792487,52.81674078211115,49.05779528008105,50.97061949548524,53.58604941058806,51.38166697691769,52.959586817133015,53.8254856064417,51.02376226627676,48.54118290832605,49.084061618209475,48.340880546276416,44.13192044233754,43.65127713236482,43.89664541553636,41.07535200543232,39.296100507757224,43.26762980978957,41.81998836308628,37.07393301836402,39.7875937984047,43.50202535609716,44.013324634701135,47.4390077161319,47.53253232265537,51.60428838466226,49.41478226956422,44.90461961537505,49.27482421283546,50.64083308471714,47.38151811270633,47.241486412011916,52.96337962880695,51.24615262351396,46.72039619940406,50.00428331173484,54.099498732265886,51.535922282231496,48.06714185585276,43.30802264629923,46.8008995961177,42.568384546781054,42.13910067240899,37.30884309319136,37.373839129868664,32.84492790948544,32.97541445604641,35.50547773825458,38.90462878625488,39.66083927266344,41.05857814545012,37.86735880213505,41.34313489727959,37.89598816433407,35.40670061787035,37.32266953160071,38.06558654544063,35.915009246348625,33.201851908463475,32.740665684591654,30.55536798804697,28.598909185232174,27.91133255398459,28.103044133102774,25.285512767545264,23.52601430268394,24.464908044127956,25.383571100682605],[29.8100151098493,30.788939765823056,33.18676582564978,29.49602038777997,33.94456610674869,28.848351633858496,29.45569988712525,30.369255379530202,26.202956635432365,27.536346418903115,26.573720545063964,28.408253009189444,31.65029338297986,28.241001190060803,30.66764893895204,33.799024972265876,34.73515468226135,37.52394731967817,40.01138779311441,43.63887967150225,46.1191255152908,50.60330468501433,50.98906227345613,51.13624266444675,49.43925521666289,44.900885989024964,44.08846503785406,40.19937900309373,39.563355016053784,38.69523191920579,37.4950733038677,38.621565500297756,39.65183943207753,43.15724578790035,43.430736088794006,42.83558756069212,43.452926814451516,45.47779560720072,46.718985878638584,53.064810784990605,50.50904257925128,49.351865733396494,53.57761484811072,55.02131558618135,57.237692964224934,58.46041736882233,62.06539705600044,59.658718248770754,57.69446225320633,63.09877291643432,63.30941675478668,63.87206929428716,63.21672089442691,58.20466393791907,60.28458699934666,63.14225985855595,59.56943078706964,56.95056495105264,61.07719867278953,62.26181414040582,57.167915086342056,56.122847111592876,52.86747725323593,54.11297466217219,53.7412149638737,50.30930639231123,45.84639875661129,42.36813736363957,39.06119637191239,35.359538212265576,34.48589088307355,34.28586534019895,36.44955122746531,41.106989869992326,41.03584463129802,46.369984999360426,47.86329009356845,49.53543739032733,50.58201358654566,53.530138691938944,52.34573815321619,53.92306065384058,52.40002046667465,54.13876011925212,51.815512252841096,48.86731879454869,49.209049440725735,48.51572708802878,46.940978664449865,47.351304642385095,43.965951245211734,44.33982568921743,40.586536698870965,38.59655259714574,35.035095489251695,32.66979892081606,29.704880338724735,34.12508529343624,32.96317461988179,34.34799859786664,38.42911016892305,39.991209546674796,42.78935868285794,43.20968452513343,48.39103306557803,44.84888996123305,47.99798153544804,48.69304141288422,44.98778526425152,42.96511158931634,38.97654380060386,38.790374752445594,34.14625984548513,35.54558372704207,33.14290854622821,34.45820097414242,35.94522740449308,37.45465604330551,38.608227435277996,35.82779447347328,33.135275547074,30.943759901296403,31.626686917684577,31.017953992241537,30.018963142581192,34.932060631018736,34.38162370997989,38.45435318821383,41.67238809227358,45.690649985205745,46.595171881198176,50.56814640836684,51.7378024676337,51.212104567380706,48.3304776601386,44.12654148470711,44.11241102127293,41.10159696020469,38.8772998127586,40.57577758871749,41.4469917884919,45.01287018371232,42.701406619429164,41.42984192742205,44.107388497174846,41.24941825893121,39.169675857035735,37.5355267097281,37.910207971544686,33.99835391495139,35.69642023562055,31.920159227363225,35.36233350083489,31.572075068122846,31.743010758790955,34.90263913821034,34.38516465574711,37.5125480494559,38.00473930352995,40.93493228323144,42.33776679455673,43.248924393159896,43.5055539666927,47.342546520088696,49.74660064346251,48.19919372676429,51.429954256173936,53.70219700944124,51.66462790735376,47.82337672962108,47.92995455197342,45.14687821422161,47.74573035670937,47.656089568784104,47.18116860355606,47.18147352078974,43.97863051757348,49.0318699359085,50.150076014599826,51.600165241852785,51.547625314359856,48.38741972510066,53.646102854086486,56.44329145609016,53.738550460162905,55.40052132823061,53.31075947446737,58.34249420629558,56.667185755008816,59.121018708008314,59.77556426332884,57.06711432936284,57.11819014924052,55.135423926088116,55.41754776660195,55.6654689324536,51.2303681993045,51.75787701660808,48.99403838729372,46.691350166033764,49.3417657697585,46.904126097899564,43.4700744609343,44.901488664823454,46.612365236088884,42.0277293421625,39.689949287891785,43.45498988575727,43.85027541383007,38.03476884831563,39.15236385460795,41.245546264896504,37.52146356012675,35.12672789895939,38.85584299917297,39.69794643258437,43.919350752724746,45.63912146707656,46.145325785331124,48.56778743240743,53.6461659128188,56.08345495115161,58.80296782357365,59.011120978103804,58.71922841621199,61.070236041823996,58.35447548145044,62.72392372164063,61.92746080703292,55.96019756738712,58.41641370456182,62.18709684732527,58.34871409066666,56.09976663025647,59.410015363588705,59.894121026122576,55.644941187605916,54.68449371387494,51.3538836606153,53.112051809787076,55.98199812772448,54.16004400037472,55.63605308816189,56.87797786375934,53.74072962286398,51.18041275239616,52.25873506028548,51.5475719391335,47.102683026311894,46.918049281123174,47.49849930311101,44.69560583133531,42.91370960189554,47.15926807817517,45.908195311430205,41.16532726007666,43.91879112573618,47.737562590611795,48.0254134654286,51.302194650325895,51.06392832531684,55.14830484827618,53.210670563729515,48.414517138309876,52.54789627882852,54.07998183686993,50.82548029995595,50.24956004638172,56.074295760845345,54.473148906545944,49.68666333002948,52.67214000607859,56.94627419140262,54.44945282461051,50.81330720405939,46.025549071466465,49.4744307587256,45.20523694307806,45.29390514823004,40.27268189785479,40.45000142773261,35.970467755214045,35.742361555762955,38.01512004725685,41.230104966493776,41.77614660617732,43.503601923522055,40.00318342941186,43.322228598486134,39.546578823134126,37.93375309620025,39.787271316475284,40.95313031890329,38.512414437254236,35.68101809603132,35.9195285609527,33.71895078481432,31.024059196080195,30.997144235542024,31.716562256953196,28.832967055548444,26.835652709586533,27.722753849368473,28.45233864814686],[29.45687607243192,30.640159389801337,33.05150183893172,29.937629802578275,33.90411782140167,28.211291544959654,28.801155093776522,28.858133262888632,24.862672228721163,26.758055353349356,25.363973945052773,26.320486097807073,30.444288548153303,27.70696095160955,29.506092084290472,32.45894695597344,34.178966488044836,37.03481364364054,40.211044716485,43.415544387828994,46.2177665928153,50.5870477063141,51.36724120740315,51.893337701737785,49.89063897145614,45.4196346012245,44.24828961867321,40.22649484504841,38.96860152789126,37.47534106689481,36.07026360875639,36.638007622842785,37.23258595801898,41.003595724357574,41.5794202998738,41.57415204365303,41.88086558694363,44.690433279053494,46.22441448383453,52.41581661497736,50.498574204005436,49.21876338726712,53.24581116701252,54.84870795143145,57.413725029385205,58.79476555027008,62.27957868032937,59.512033161680435,57.617781868951724,62.97918729699532,62.80872363910231,63.116447399241764,62.291589738106765,57.284320514685724,58.998156555279,62.138745204978086,58.89248367747187,55.92963282560719,59.943339358722774,61.60934577641848,56.639071023011766,55.31243988090037,51.81585604914374,53.58239333593126,53.3911104866357,49.72915205363459,45.67048212825004,41.85087417290563,39.1302757100842,35.05998077915781,34.731619089598155,34.68491323107927,36.14837962721727,40.948203104713734,40.200380880587794,45.24164435372619,46.787850260163026,47.94080225270371,49.08905322176728,52.23138605205132,50.75932541850266,52.641579575679366,50.70686603662238,52.773497471952346,50.878958911855854,47.6690229450451,48.18161101329877,46.860657316404165,45.732039137336805,45.48837497913409,42.419342041574794,42.70430179023465,38.81485403514854,36.46032587253841,33.138452030706254,30.5646355333749,27.915789651164207,31.676240456644408,30.40765197094857,31.04913296823036,35.78847497583164,37.22967971275669,40.53339724534353,41.003497543807796,46.52325840191527,43.22519834176475,46.243229069006354,47.403825449985355,43.839853541473474,41.39963741333949,37.74149621167141,37.833763871457876,33.28194698811068,35.269877546117414,32.93519684205922,34.87235003945714,36.28854050878445,38.432982331953205,39.47290861956794,36.08741848443538,33.80323706843535,31.388014176148435,32.68330833565827,31.67951028209428,30.25911016883576,35.18111520879387,33.91642817280191,38.06643611073489,41.08458413595669,44.81563720975207,46.2495599487179,49.8883191115479,51.375518160511966,50.353323954503644,48.10978878898878,43.977133453566154,44.468599172002314,41.679165819096035,39.82655078061016,41.24915129176833,42.801614214844754,46.21550649258826,43.50271365823071,41.9683595532887,44.25247314148456,40.955603175945264,39.01970968827448,36.80784840097542,36.8531603609941,32.69711373698737,33.84333841835574,29.59618570202064,32.389752529549504,28.021566098536393,28.313484802432395,31.91008102792556,32.023120286259854,35.268612961342065,36.17154573789093,39.38201980817542,41.546983495494004,42.441335615942386,43.45537666621513,47.00790577021915,49.89439663832335,48.90970646430995,51.85006183090868,54.52741152543449,52.475769313182326,48.70031440719376,48.397229197193695,45.4858763056393,47.54909011617451,47.010666792453584,46.16644214840172,45.64993044209114,42.39117108592809,47.08877223932643,48.7848838391194,50.0947952091966,50.69697383266299,47.241305607615146,52.75184437744346,55.79147484502422,53.325363843114566,55.01772083070049,52.99741764842382,58.213686063804516,57.09852957673161,59.30372366954528,60.06647526375642,57.11696918189688,57.257033377826126,55.21154166256116,55.36857115039853,55.66013307159361,51.348518746631534,51.49100202764075,48.72772216610118,45.96691678033176,48.44674671360965,45.55847531145508,42.425772070822774,44.230542364084826,45.45378395899631,40.71626348398816,39.19372193543533,42.6572513497677,42.28123728577704,36.85012540122396,38.3194477457813,39.9957925862926,35.917291347796656,34.23523687625985,38.04636472267268,39.28974939097588,42.99767821318495,45.640891323936984,45.68079059386946,47.737210167003774,52.863433197254764,55.153253054668475,57.892073798567324,57.69279599538971,57.49546206909034,59.68369985868027,56.883241906988644,61.45885885494062,60.939510885786774,55.05842171582178,57.41515988018418,61.530795124329074,57.94681721476827,55.6360977011394,58.973617213778695,59.91125357513159,55.76645970149323,54.708865680764944,51.0529672522682,52.303663211159005,54.96786345916236,52.76940477215017,53.919578627662624,54.748490066894945,51.605813292032806,49.37637387826238,50.247878149774486,49.07543278825918,44.87562832051507,44.95451819830144,45.0350454615152,42.065352913956,40.77608125109607,44.91381153317011,43.27965483101085,38.68849672496378,41.89748254714387,45.60396759817865,46.27376724800989,49.44277075649568,49.27889076058362,53.53278641230731,51.750635361626486,47.208527295377266,51.38825008064195,53.168253030230666,50.08070754884532,49.69932296552657,55.538779265086745,54.26227465980489,49.670177241447426,52.65901297007297,57.02514421413359,54.8113409515784,51.30490188805992,46.58873764874034,50.43053221334663,46.35375038996094,45.92692585593549,40.9563757982498,40.54709375943402,35.876146470907024,36.45621173559704,38.6946604717905,42.192171328754824,42.53286064459209,43.630577773721114,39.906875640925655,42.98145461526014,39.21998358166503,36.936202220928806,38.27515062003107,39.04481196932747,36.30376608718417,34.15400188162311,34.10789105428846,31.34961123003935,29.341667433505556,29.74588589525948,29.750360928736434,26.343115762922917,24.26799688985582,24.71540635083452,25.21542376462306],[35.17930847042528,36.08583261330465,38.05213355176817,34.53330873110573,38.138125232338886,32.53135626935369,32.4536331695575,32.40484787976509,27.961361561441475,28.96022126681681,27.015397518651167,28.209166291125175,32.048801495339156,28.862277449403514,29.986565424151667,33.17986821720502,34.955352575888874,37.110115655084094,39.89225634496127,43.354099123513365,45.72040166511783,50.212843529887,50.69972716856747,51.394710795134735,49.8092836515741,45.36611436352413,44.70156727625938,40.919629392727764,39.5887634104732,38.4235367737504,35.96260995949519,37.41197754733045,37.540879712555004,40.79274443927189,41.85419083172809,41.794585911080624,42.782754129646364,45.38004812723532,47.17823635638984,53.4564017035688,51.36896612633809,49.49326581836798,53.44790210225414,55.358529310898604,57.78444828956537,59.484163976753436,62.77248700836782,59.98275335021489,58.56388764578484,63.98496503134456,63.628619944909886,64.17892543470452,63.081681707804414,58.229065663193424,59.64856815654183,62.47665747477507,59.14300965339099,56.0671995060575,59.838707639860594,61.43665585525463,56.27630522657521,54.539379795500494,51.0146220270981,52.35762251318583,52.57464186397583,49.228598926586365,44.731682797121074,41.150468713982356,38.17903948961501,34.17578424500801,33.64303154578432,32.886218687949324,34.54615064397822,39.327426190147605,39.07186836760994,43.706359252062555,45.92137652228468,47.034196461839535,48.670120968779436,52.07535646365003,51.16714064234366,53.42600526675657,51.983582083394985,54.30514623381013,52.351499092694695,48.85713961118698,48.74655653907662,47.49459864881136,45.70647951337886,45.1707255607951,41.757385136196014,41.383965571074874,37.72128863969611,35.813841249687336,32.97665490476491,29.986035231328543,27.89616536357157,32.26494674261174,31.730790531064947,33.04482811022124,37.34651915686684,39.71570089165289,42.49530447916254,43.76738075375439,49.313706611234515,46.4444750952438,49.86194760219225,51.10966089876818,47.809024328818154,45.17943460178344,41.630036899239535,41.07555803987404,36.40366786406494,37.91235509252979,34.87000925266781,36.60245826539451,37.36599902461276,39.37940118435911,39.50628396170262,36.298823747432955,34.151566291604304,32.28063726088112,34.032281438336604,33.65020668640518,32.90487691762895,38.06756808908853,37.59439163558973,41.50247345367558,44.72147021098505,48.19613453150562,49.947266474367986,53.652414867978756,54.753254650480386,53.565350254315845,51.213989537967095,46.93734413182083,47.79920180431165,44.48378384110288,42.233594104707436,43.27810625790561,44.276657172046036,47.260321705108865,44.397813306542204,43.31084163760079,45.45896811282371,42.23269922348783,40.63420740308409,38.7157248618549,39.30515225730919,35.41494108260115,37.11711709883877,32.84566054038034,35.80205817124804,31.657694294555178,31.131593709829367,34.55571543120768,34.39104877669584,38.05462342178294,38.288235375819866,42.11769943867944,43.97437747293875,44.16283480934186,45.321258823398885,48.662456324519255,51.826241122514375,50.96141870043714,54.27386495207921,56.913639978485925,55.25227079375329,51.29947701237851,51.1616287914978,47.981200575199985,49.90664813940575,49.30442236888684,48.24051115708801,47.85224079995049,44.18272949183289,48.91552217246102,50.57298601966386,52.24473929314928,52.897491585035105,49.97906309046888,55.517375047428935,58.48390728464482,55.850806851445164,56.96441099409838,54.51397270753196,59.72267786520631,58.548141108597,61.148584132878604,62.20529609386615,59.42656412930098,59.97508886053685,58.226404643655854,58.68378738566814,59.30923413069026,55.09309093863142,55.53456777022913,53.08455654771851,50.287830483095135,53.154556585027336,50.25476719990622,47.01813738926886,49.125843690266066,50.560912969227836,45.802299861119295,44.29631267447475,48.01245011623565,47.73728842826673,42.32155983004968,43.93259532655917,45.77682045778264,41.67313360021331,40.02948583353292,43.97589453762419,45.04651496226553,48.937349465165354,51.28931722930352,51.29279836249219,53.50482543098547,58.56057430272638,61.02104759719994,63.619585645832935,63.300810976349034,62.90270122786257,64.9426541139491,61.91416468894355,66.429919723445,66.10113764755556,60.09166924813303,62.22203505603163,66.37705988869486,62.86865760583545,60.350551439899235,63.469982053988865,64.58265241736794,60.479633881498714,58.98373814761028,55.667956563087444,56.630174668965,59.470418078493594,57.53276055225928,58.47614744740263,59.52136335369609,56.067279948547814,53.89120658560975,55.19472799832143,53.89879950569884,49.591288955307945,50.02561089282453,50.23829048490604,47.24695337448561,46.11635639396798,50.42227018874143,48.83161612660282,44.31152801660022,47.65482785765263,51.39534035136712,51.99787866968792,55.0200995606441,54.609877687093764,58.9071196241085,57.36940507715835,52.673229376050465,56.65965576338997,58.62790716880139,55.58264512142203,54.890538872574304,60.80653265780135,59.68458875848802,54.92428322092716,57.662041206300884,62.18861305001448,60.07291466141519,56.45436119285189,51.73019547773533,55.57174334295683,51.48095642642366,51.38975370388217,46.29296305793772,45.91307037145862,41.26354407551977,41.65981288633749,43.70095155587987,47.07650148844329,47.21973474913286,48.4931142508667,44.47209221761001,47.32743758821232,43.27881622331767,41.664921022364716,42.79412027597416,43.83120245274093,40.745817748628916,38.722922405510225,39.219954338039244,36.32038846444232,33.877021737882565,34.948196204268314,35.209377316586924,31.664160108706593,29.408959744625427,29.653822313611066,29.870650217437227],[33.98345016467033,34.7749874216934,36.4236777602459,33.17164561863139,36.22482523645415,30.35716848495984,30.04669935303254,29.445978862899725,25.085629644414666,26.241349068776593,23.99492281389349,24.6664713171416,28.936085001995245,26.202722947151944,26.884662189646217,29.92909237697238,32.17656518773474,34.367008274426,37.61036081035169,40.74209245154327,43.343506230522436,47.721364683745406,48.502250631803236,49.43734284108315,47.60930535440676,43.239939959770695,42.309105516669696,38.46408356752964,36.738730107918066,35.197577497053494,32.66018593208112,33.7552105229574,33.6660971880258,37.07324522634202,38.25531767582506,38.531139877541705,39.32011862302806,42.36569296041061,44.33529128997849,50.483130098446345,48.8134927663037,46.882073884794764,50.69214065704378,52.6831954537197,55.33345191470974,57.12594059892816,60.32939842919078,57.310525098897465,55.933576716903794,61.31042215022977,60.712924514986064,61.104766165469975,59.908349804796934,55.07508979474298,56.281231640042336,59.27430909849398,56.14881636430631,52.8875805260719,56.60150834359535,58.48413813112301,53.43280066552851,51.58106774400035,47.929534960236175,49.64513601990825,49.9104304992406,46.395156595989,42.23403224635654,38.42396206728723,35.89371583258399,31.672314158866627,31.547477481963185,31.0338136683449,32.15200831448478,36.99193351564377,36.21889240823551,40.72820175207434,42.85035004078486,43.67399450583829,45.29584626736172,48.77169340860224,47.66881026895723,50.07822019055985,48.415662051553916,50.918039296850345,49.22048718677471,45.57913542199983,45.57164516061303,43.96550941889239,42.46857731690114,41.597970424733745,38.40719073829299,38.08943160646569,34.32632599214813,32.1684220549651,29.428925318448634,26.378514879805632,24.449507504510194,28.39770787746626,27.835570209158575,28.856015957188667,33.38071555041843,35.77782651672966,38.72012566053646,40.115136337311924,45.80524847937546,43.16880226576186,46.582948905106626,48.10520363804989,44.98757767018401,42.08514932289088,38.79494739644553,38.244531226964085,33.663124806248206,35.4367173505366,32.38623733128396,34.49907630654537,35.16840921052061,37.60554669287413,37.6694398436696,34.061784152326645,32.22477684066935,30.22062527102747,32.40036459582886,31.78761521308704,30.854008764815948,35.98555463028814,35.226846160874345,39.0703624365983,42.17750253371978,45.37854313142426,47.52866759757812,51.01082968088817,52.210211286155584,50.68290958884436,48.72857346588064,44.50510826975706,45.780837878774065,42.54369325242476,40.51949131513715,41.30894001468267,42.75044168664205,45.58067654471047,42.448292676591386,41.19623332063538,43.04994733695987,39.561605052135995,38.09066732571851,35.843189711074274,36.28782199294705,32.342031223523634,33.8203203196562,29.352784408944213,32.000479928292116,27.74797959902042,27.050242483687715,30.584758356263723,30.68024439180178,34.43575916833765,34.78669823826177,38.82632499128952,41.071840858153195,41.174815239472885,42.820563606595414,45.9357362598499,49.4178519039522,48.958838563273396,52.08839335741946,54.994725964222944,53.392076971020735,49.48396127739846,49.08122349631083,45.79377688925282,47.326677536740775,46.43432343410102,45.127882980685925,44.45596089862401,40.73987293064317,45.254971115372534,47.21801118748102,48.83238457793943,49.86839488988859,46.86191861752097,52.521539431678086,55.609360523413315,53.115517574281675,54.1806769785753,51.75892661966821,57.06178816201109,56.26517611412975,58.70726022850315,59.85811470543405,56.948465182619955,57.60955520167471,55.87856006592267,56.310635566855034,57.04190271620821,52.9599789470128,53.22774671500033,50.90453156332517,47.820039242860965,50.712920908364225,47.56363729819178,44.48919052429449,46.946652914687704,48.17737336066083,43.36316902110086,42.39270362634017,46.02530517127976,45.361412439576185,40.239434068807036,42.15902428433087,43.86797346218844,39.58915558202844,38.43820613648631,42.53432023881927,43.68793315099477,47.37673378834006,50.07351722250906,49.69156402957475,51.77346881586612,56.75909263146537,59.27936914663422,61.732441306747134,61.065037206895326,60.57774777178728,62.4199726438543,59.23295665094791,63.812240011083695,63.749597534723534,57.7557614402699,59.70257389187171,64.06863644325196,60.78180756394667,58.13875197750342,61.16851154272825,62.65575623409447,58.668090511219354,56.93155319894648,53.55007783446492,54.06563658958889,56.82944982784457,54.793129199355654,55.46554261273447,56.388771553385865,52.821078655242296,50.84664404266628,52.22891952478005,50.66718680453675,46.450994764323646,47.18618041211402,47.243009415309,44.1949763261871,43.39019064194971,47.727242482235525,46.03284527207047,41.67247851560152,45.29463328218894,48.9856463833943,49.69866668521264,52.52181768685199,51.97844864238476,56.36441960833446,55.09726875008965,50.46621215530387,54.323619894749434,56.55386636964697,53.667679284580224,52.902705122003596,58.83599220651575,58.051695923110195,53.349144409758246,55.91861854385135,60.578451594939196,58.75892337595835,55.191116056761544,50.55413239013053,54.701806753528125,50.805445861989924,50.53414357593008,45.415152697618225,44.58459844765048,39.86559525964769,40.756268061093735,42.608990539912135,46.10528694077244,45.972595658035665,46.84877607502207,42.57073794312988,45.14299075900473,41.04517171725064,39.28404660168352,40.00750700222384,40.935590133151976,37.58389279840436,36.00124252395207,36.60092615616718,33.389337096991284,31.135687217465833,32.76999873036474,32.800374963926856,28.980278048261862,26.634662725043146,26.594174994629554,26.621302356220745],[38.169950249368625,38.942743459681175,40.401998312851845,37.29715898793848,39.91923284378214,33.952812774862075,33.32696933143157,32.23103462564318,27.92040944060896,28.840725180921524,26.132785595668604,26.336028027541378,30.796468399240503,28.336327577111724,28.144347777700276,31.08889577245161,33.80928857918281,35.520734447070375,38.86589217602517,41.81265067338086,44.28688991346622,48.588551726162024,49.42367128805989,50.69177012305507,48.96417039005799,44.733371497540446,43.913824908022754,40.22214704011077,38.10488486785505,36.4060418955838,33.09020173524066,34.354700339021,33.60721869654789,36.750152791314484,38.47919279078654,39.135871943960694,40.14543175676501,43.514618515509085,45.8017739685572,51.799875835882524,50.450257132038864,48.1039650337152,51.67880720488037,53.9344410562109,56.67842909250312,58.73979575559516,61.71383040241773,58.491983475529246,57.470549997039775,62.79482762591598,61.851028793914395,62.227446085997585,60.76051236177182,56.08341040685419,56.84205943046389,59.786510030585006,56.858164208193365,53.340821467371214,56.76678815781334,58.9097676368614,53.881185559843466,51.58717204475087,47.798581250430544,49.56693725032515,50.2283689370138,46.82430123697008,42.72564303620905,38.928043250327036,36.699499087216445,32.40716270531492,32.523348301777474,31.653726263853034,32.37024627606887,37.15284579247286,36.25625045422813,40.14823842968438,42.74421130299216,43.13977329122638,45.15416274880818,48.89468809057335,47.988372870881996,50.81985468655354,49.22573602637676,52.072184139556164,50.64234668300788,46.713260420311755,46.416933011308636,44.45384836423278,42.85450139843743,41.321330273924694,38.19128330754584,37.33107049613693,33.7206766328709,31.669165424475512,29.58028925886604,26.17629683074958,25.029075208646237,28.70973440984632,28.61864678441058,29.502183462703734,34.0512312600152,36.90930644808656,39.784202480056535,41.6877500588549,47.49624577163817,45.31910852513117,48.819359920448626,50.64606554051983,47.80402097995548,44.61053259640461,41.641070319608936,40.91163956146298,36.439736963341375,38.22859598284198,34.912737927242496,37.19184985026256,37.432006305954516,40.0858932210325,39.54894694099677,35.78943679900919,34.337785592606096,32.59590451057961,35.28580567662382,34.82050643019572,34.05313875193376,39.17057655383608,38.46562252470755,42.13764129000384,45.180316752950596,48.025165301541925,50.60740542787774,53.89135450011494,55.04563208007729,53.16238909139595,51.541279079282745,47.345552235095916,49.06695453147468,45.723769159742126,43.718117734087265,44.147739646650145,45.619785054820746,48.080180182165265,44.69469746671091,43.57812504396899,45.086545844802274,41.452081707343126,40.30351110245481,37.94396002742481,38.4973731722309,34.68017869656768,36.096131138189065,31.48215354668167,33.69746571284401,29.36151040402503,28.249841232475596,31.832446485563125,32.18523699623565,36.15172186984919,36.3458734299385,40.83325741080577,43.31063740493272,42.98111318729319,45.133485099635365,47.898191951090055,51.77097845459997,51.70304810337301,54.837021932149774,57.91039303931787,56.52881075532689,52.60792181889087,52.08157988929453,48.62732632274674,49.7577220437658,48.57919465133529,46.93936951373873,46.03087784400218,42.099002717840186,46.30481675674,48.593295858964616,50.31426947728115,51.777222278321254,48.95623370142736,54.69902159367336,57.850391438280106,55.43236839380377,56.16354115699001,53.55925914290759,58.899558266861206,58.41361701389005,60.91350975829753,62.28684645375201,59.36658958706577,60.30266846018358,58.71908610128745,59.240602997893355,60.166375985450905,56.24241708466513,56.45482708004282,54.316832056469316,51.01001926746651,53.96562403206941,50.60501775586903,47.692346125924935,50.45729055291396,51.51361271610986,46.67869736111266,46.148487004558476,49.69039203199741,48.67649272863412,43.845081587791086,45.964985234112554,47.50760814711785,43.10687433276131,42.33812618339189,46.45691163739735,47.723852384747026,51.19109279674255,54.19415341504305,53.58442260537481,55.5260464741714,60.46306932637252,62.95340266319423,65.34321516929012,64.40851930758927,63.8856036866226,65.5501785316555,62.23102045632072,66.857362545941,67.0447162630114,61.088164154102444,62.85020448773508,67.38928991713955,64.30286865194317,61.54852614363307,64.45744766697506,66.26287137795751,62.3778978096218,60.3935170827568,57.041373322684514,57.13240803260341,59.84209564558294,57.74902799920033,58.11625473076667,58.89553541162994,55.20150675575527,53.48188749133654,54.94988615564252,53.066708694206326,49.00788041548539,50.06981033774456,49.89629953749646,46.789037114915196,46.36782925022962,50.64959419295815,48.77474397568773,44.61599286513405,48.49218521984459,52.079575990018505,52.970454963435664,55.633971503141396,55.02475380117384,59.47762777997441,58.42272017489976,53.91226988632007,57.66321027743105,60.09085946084417,57.33714180435449,56.54281133149506,62.46447133776677,61.919622586214224,57.27885940588867,59.71841077367172,64.46056079008186,62.83346759807278,59.30406328222612,54.73023414372814,59.02202595830284,55.22407423187462,54.86026328746696,49.75894678675994,48.69631292854928,43.95762171415689,45.10973278556204,46.85711197621205,50.391878563892746,50.090385358535244,50.742007585082064,46.27955583009888,48.58709374590055,44.42260758036815,42.671104972324706,42.99950521280742,43.8198612685202,40.18886888253844,39.10107760468751,39.793662463382866,36.28836787459646,34.27488864606595,36.38996700710244,36.16515995991095,32.125119338958115,29.74058958699125,29.349251083801853,29.08753225836856],[36.62913976181008,37.063060979903156,38.05091893831363,34.75362461728062,37.00999585150144,31.17199680303459,30.165937134129628,29.09489671822001,24.61852204702572,25.131396111594984,22.309395007541234,22.733420440888434,26.92712526734145,24.329515182749905,24.07560774482699,27.087606670421934,29.709216704228563,31.357923653025498,34.66190734226571,37.63772784349551,40.103313079550645,44.41997325596067,45.24716720201907,46.49748617063035,44.7602560078282,40.528811757536126,39.73635882362989,36.07354820009316,33.992264595400215,32.42362512113612,29.0875340618576,30.559380615266456,29.979899195069702,33.064084099468595,34.65475352464261,35.131328671879494,36.2605541171623,39.44635535408944,41.71883011668114,47.754646501105825,46.31584476331925,43.93819706280036,47.54164273763926,49.792225947304445,52.50756926282292,54.584720146682635,57.5580886114515,54.3583339115535,53.35960726656621,58.70297969423394,57.79029858223492,58.23226645210855,56.7789615570125,52.103462227858984,52.93707961905816,55.81154604635755,52.80132221883526,49.34682423206176,52.830568227212055,54.86768143254618,49.8045125367734,47.60689033010695,43.86595364679184,45.585025851801284,46.150855580841984,42.739270715549765,38.6022476862477,34.80707251055988,32.52824410940704,28.23702544585623,28.347730586139967,27.581103492269264,28.301573467401404,33.1070998017825,32.2303973473186,36.32933685863672,38.794716404408774,39.37565501602446,41.295510456928575,44.97152599674841,44.12974082498796,46.88934171844544,45.4483400304818,48.23811885351841,46.69964907884166,42.78152531927645,42.39817854223887,40.602906698476346,38.86326151785467,37.56217171200541,34.32319932292571,33.614746631437356,29.963602534799197,27.965408792456248,25.693549026370793,22.35285708492758,21.04233000249686,25.04025756342016,25.067123008158653,26.470408719373285,30.61142521720343,33.732650906095515,36.27677782608478,38.36992168468139,44.07675822137631,41.983320258496526,45.67469883761439,47.430209408688015,44.706092135331595,41.50672481392879,38.54988051323334,37.48697995091776,32.99243418523683,34.55332248634015,31.039549362235142,33.26583185242422,33.35354870245533,36.01902025684406,35.37284543748517,31.605319289565696,30.19879187951666,28.53339068690289,31.366210753910863,31.021509337278193,30.458483536312585,35.59784538629855,35.24063080632401,38.75419412663767,41.875071231576186,44.61208847994583,47.28575337239731,50.60676280364415,51.55762295226271,49.661152317554546,47.95012638074109,43.71900661922354,45.5951495425084,42.076869527370306,39.987382392699935,40.26316953998991,41.6662187793107,44.00678764801466,40.57603936550339,39.5236302726838,40.99553313309739,37.3975782547177,36.312271863476106,34.06668674274348,34.80949115839749,31.136692657102955,32.86833862623135,28.40126527747997,30.94014904543919,27.040678235192225,25.51892753144348,28.80276674553438,28.800162361213793,32.85384458288828,32.725818923470676,37.31827635061866,39.564603724552896,39.059657179207306,41.17804901773191,43.9050934519295,47.805737033864375,47.78122454272033,50.99386433054272,54.064249098712686,52.81905471973274,48.86366350554816,48.366411910499394,44.834296161973306,45.92066761733818,44.76394657012631,43.12403101041479,42.355924337403614,38.3461525539659,42.67666884018695,44.79232223308769,46.62353595371175,47.962093350259416,45.34423365109843,51.04389900267399,54.13375809262062,51.64397582879614,52.2250688446341,49.534581877246715,54.855677685812545,54.33276660907772,56.90853744500629,58.34318279559845,55.480222799274735,56.53244207134124,55.05846461176129,55.698256419771404,56.76851123251525,52.911029178543814,53.27932316771081,51.33823320094926,48.046374109763256,51.25421245232881,47.963580908899864,44.95303856093141,47.89174124479116,49.154302770461086,44.35218293740558,43.79232015160436,47.542991904896574,46.727373818205784,41.8903760517558,44.13509323837074,45.90388258054814,41.55183508200007,40.787779710190385,45.082941463372315,46.09835131423502,49.79626235691388,52.42302416713759,51.70293529153696,53.82915240500569,58.644705821836276,61.387689139195146,63.55330070781838,62.52017060573131,61.763860245683965,63.31104137147416,59.823369566737284,64.34906787675953,64.64961162044115,58.593378866574774,60.1862524871624,64.70427520324156,61.67558948019703,58.77761228152799,61.52495250560898,63.44212272067524,59.61268868605199,57.33375888017077,54.21923013729384,54.150420232532674,56.98334851151207,55.13514606839798,55.43873232529094,56.49109667842804,52.599230644251044,50.81369568370416,52.63940680820586,50.83991094247581,46.616745922596294,47.85800013759512,47.98222561969395,44.937393084306535,44.46679977008852,48.94939479800294,47.30474206429001,43.16529859967121,47.020567745397436,50.687097871604294,51.35670758121236,53.86315947316436,52.97661179883819,57.415164673247034,56.59136069630295,51.885035080283586,55.42125368972161,57.99902646628813,55.295856266703915,54.187172673989494,60.15096963414161,59.7802364829399,55.00646230815281,57.19361893790536,62.066427898116615,60.59148102751832,56.99348389712813,52.46441341916083,56.838222204877724,53.1328633626278,53.00553763575778,47.80282138894246,46.63505171420194,41.94627653293231,43.064572644852284,44.56763468286147,48.01857831804318,47.4921950725095,48.17799419053954,43.51030396611854,45.641736147558284,41.34036870802076,40.06326321188269,40.311310091602074,41.39906708412395,37.64322933361012,36.480204200360504,37.63209909057748,34.193367440305074,31.71012699095973,34.26203899731835,34.400284495034455,30.414816820568838,27.937371569027228,27.583941640282728,27.29993914512634],[36.188287741739316,36.326199748543296,36.971210589172635,33.318284786643375,35.458181587841146,29.9013225549149,28.588080834634095,27.86238550790196,23.14674906272179,23.060399582746513,20.280566570502636,21.329511108093154,24.900824325824935,21.817484486468917,21.758351917404,24.959288731499434,27.158365053763934,28.67244019898155,31.622791918701992,34.856957159345306,37.14594693077013,41.56031274720658,42.189208905969295,43.29845252885414,41.714617431807696,37.43189374925021,36.85872026728419,33.27273817248585,31.466931405294147,30.300770420911554,26.94317113882416,28.920366531261475,28.652058799324752,31.51812867003156,32.89865598252554,32.961151097041245,34.38110259725727,37.07455973155155,39.24405122730491,45.40181645609029,43.617124794052366,41.19564932738793,44.91138655253688,47.130864958064265,49.68074288151915,51.74598771288743,54.75418984477284,51.70139283428475,50.735522670362165,56.12678265736341,55.366990324864375,55.9806920375932,54.579557552101775,49.90985885042839,50.9245911024407,53.60929189804217,50.39050873132822,47.109185431204374,50.66595137218198,52.419978544357015,47.25135037099737,45.1973308113384,41.585084242768005,42.99984075497778,43.46152358648871,40.16310167602209,35.750915361147044,32.11249920699659,29.47904002025959,25.318899220669852,25.14406798874997,24.286975553601,25.382078215158256,30.18771182430867,29.696084272209358,34.070240828373926,36.48989843347961,37.44655756703266,39.29741989459459,42.86907475701972,42.248927339616706,44.859950900556,43.74107654206257,46.375248507757064,44.5737152989088,40.74089575098852,40.166608942275765,38.7722013762541,36.66898575881869,35.81376384331541,32.30910553872597,31.694810427399958,28.09837640084166,26.369291637797417,23.866853673569747,20.65944330837877,19.067963647431792,23.723855327636336,23.927159913802612,26.089467962872128,29.594015285893697,32.98784941223775,35.048049970114675,37.29351521796259,42.794858378189524,40.681630607070296,44.583888910770824,46.11791277579399,43.431649541870584,40.37215190885681,37.293086126995966,35.84585693183791,31.271267468009263,32.40455891144146,28.63130555866492,30.56497025669814,30.495946363876914,32.92600382905577,32.125572378186526,28.58605634127723,27.042762349227353,25.575377263885695,28.365230735018237,28.33049376667285,28.145861765991263,33.351954669391915,33.57343216997401,36.94161576279787,40.21713808680275,42.97696258830639,45.545314028443784,49.026859322265146,49.69188269797655,47.95742745255519,45.92957804226273,41.622304229230124,43.46066846216378,39.67738270284097,37.34433225752798,37.56892800430279,38.617589256455645,40.88844700060998,37.538358810795266,36.67837297096788,38.27302289529502,34.868962182647365,33.79714025947223,31.890341735259277,32.95623457700896,29.493046585893495,31.719368538344355,27.5438819342013,30.597466807725024,27.243754235199845,25.40946926942385,28.275681227234074,27.721276216981437,31.804403645691355,31.23115843418097,35.82351959105095,37.57521715664148,36.89211483806428,38.698704853793146,41.50359782580896,45.27486550882731,45.08148291673316,48.504833683891235,51.430792996333956,50.32226385199772,46.29024676476386,45.975765691417614,42.39776136806396,43.64697798159457,42.6733055922754,41.16118148861234,40.715708765917256,36.639026626114386,41.22128595344123,42.96783888474267,44.96481900081281,45.95453518708825,43.632901673038134,49.21610495294711,52.16921686171331,49.5193976758,49.93466504917369,47.1090868422801,52.357718931584806,51.5852401818063,54.35417442545066,55.82257141780296,53.098683722177626,54.23815159140037,52.887528012252275,53.68212142156788,54.8657718618676,51.01290677043051,51.64948480989614,49.86198704804833,46.73543607249284,50.2046936395327,47.117291958995025,43.91970451084558,46.865954382177556,48.45050178063155,43.71292201639115,42.84949359220961,46.8630108313293,46.44514363252074,41.45923548735708,43.678580310683444,45.74320542204554,41.527513473678184,40.527582234805706,44.926706384111355,45.6476211414788,49.67450171341413,51.75038450267255,51.10676738670268,53.4847549579929,58.20967020985194,61.17575717433115,63.18702464383189,62.22247985152055,61.27167412008365,62.79337005179843,59.210044695026156,63.597088899540985,63.885721386457924,57.72024952197724,59.22412519039571,63.613441954522045,60.53720216898307,57.547207826016596,60.16499980030507,62.01352654089475,58.18535540006771,55.70427903439617,52.884536068112574,52.86864682748424,55.873575986782676,54.338100652182554,54.70835733785832,56.1039877031356,52.067875871213346,50.115041607672566,52.273755309914726,50.692506779884106,46.26066999144683,47.535873265431384,48.038746516047546,45.08891875096258,44.409215709169445,49.07198116213603,47.70623794480183,43.514058110278256,47.20899021293327,50.97342723225281,51.371013141848046,53.8157128758699,52.714409008719784,57.09171980655097,56.3719264650707,51.43707317553233,54.813407315212125,57.41679224868036,54.688379450611045,53.28783107141607,59.28655018985356,58.930469414652016,53.98788658226972,55.99141162898764,60.936622484763504,59.47584618516057,55.777219490799695,51.249189668537696,55.5561919572011,51.85216229644917,52.06730287104908,46.76984962758828,45.71566104032605,41.114006651458276,41.94843075812947,43.28275264765143,46.583112935132895,45.95089184052266,46.87917042078712,42.11706641667162,44.20246119416454,39.770253139486876,39.09676439412437,39.469855678008415,40.897237556593105,37.15419740058561,35.680539013829005,37.263416386961076,34.060229735326615,30.986073868088233,33.702367712325696,34.33469517822159,30.547775776386658,28.02665543036038,27.86845204833315,27.650690178663467],[32.61753735906394,32.469065129565855,32.73490535421995,29.037384358247305,30.88942440334128,25.4364852698734,23.93469706126952,23.30847517000057,18.52151602081672,18.338228506557233,15.681194127623655,17.031389660314208,20.435754103428764,17.28923247982627,17.718158292416643,20.945211539566856,22.943518024686476,24.88773311037692,28.03216629034697,31.20812423332577,33.764318135982556,38.15614257566058,38.932126284359136,39.893749150082606,38.05367569644499,33.70754499178924,32.86680008613688,29.122293959294865,27.431423057231285,26.244606132451548,23.569670757035603,25.262185322929835,25.553700797020653,28.687121120915897,29.561988727142,29.399556815670728,30.55328139826975,33.13630752313917,35.12598205351778,41.33954165296057,39.501531171170164,37.39571076998356,41.22881860232304,43.2623097615932,45.8576576808389,47.75726777548116,50.90045055013678,47.88767605277714,46.66145013830148,52.07061649556648,51.46575991977474,52.023855051148615,50.79732009375474,46.01464727835766,47.30793007684064,50.09888339285182,46.81155467204088,43.67565126780225,47.45859691459217,49.11784515783742,44.00462618054665,42.31944777261916,38.78903337475568,40.379606688461166,40.46855482500221,36.96842456132965,32.743757788531454,28.959617767353347,26.355796852102124,22.1481362867433,22.044895288640095,21.826886359915736,22.88221794492098,27.717449791608747,26.978252625213095,31.89114378921772,33.71317833509217,34.94233241097993,36.367274373236334,39.69692141861369,38.814114561396295,41.11111071800957,39.88188760303144,42.30255648202189,40.38038309384583,36.712806442920964,36.40728759721101,35.19211611777517,33.306585259937975,32.95175911706819,29.525040807444597,29.542384585132716,25.773556589759373,23.830483806257398,20.70983335239403,17.93326465615049,15.57778411276588,20.35123325983192,20.19508065347522,22.643571969009713,25.908805526975268,29.078201757258544,31.05202130233406,33.06601328932366,38.46393035803078,36.1874296544226,40.123077854810425,41.529202055434666,38.82513154519594,35.84734538973268,32.70003968414874,31.168017918109587,26.567225248830592,27.670402225526114,23.97280635634735,25.96972561505921,26.112109637060666,28.642191258422425,28.281162223565623,24.602144423723992,22.94915330753529,21.19407979734981,23.919923600968442,23.693752213785736,23.412012638953627,28.60935143798982,28.876660344775512,32.206384461640056,35.505731750270066,38.30290280046765,40.817095468503354,44.33391877689511,44.9670627104268,43.30779422878348,41.20169570633279,36.890026025346955,38.71693959273328,34.95999582759059,32.69941507927435,32.96155029544146,34.22483205850999,36.64075572828532,33.30783567994532,32.25939065969773,33.93825297146328,30.51451583635073,29.28649208572248,27.345415510274375,28.361653935787164,24.88279135651887,27.253304521082303,23.24913094014027,26.66000805779175,23.724600329609586,21.834824551432646,24.42878868500801,23.55596764581275,27.542092641408257,26.939985934015443,31.338746271305123,32.97492171178331,32.48845537505576,34.15147012314585,37.08421097388655,40.74202986750904,40.50581511598737,43.85625955189794,46.80719700824784,45.63490576013183,41.62387492026597,41.26572455320541,37.713406073028445,39.02182665382215,38.11906213179898,36.73498645651039,36.397536714248346,32.43672411529792,37.199498407433374,38.758980501610154,40.69231657757601,41.49185668258079,39.09212005350831,44.644566670979316,47.580516188214744,44.916009233590486,45.488834903868074,42.78660465482424,48.04800404309483,47.23820288279075,49.89850721667217,51.27782474863552,48.51418400353262,49.562947849063306,48.16888409620406,48.94518155783713,50.12083331022836,46.27188955977067,46.94179037048134,45.211734835014184,42.11460173301578,45.687889670350984,42.681882648332376,39.41677265112608,42.41830787102339,44.133490645890454,39.44712058099753,38.546606861652386,42.67142540768969,42.42237476510011,37.45080259984442,39.740925681126384,41.96344443824439,37.83892844534786,36.851694455424706,41.34859437219179,41.8675035959941,46.02815117658317,47.82529368135378,47.078994373016016,49.57247469472587,54.18324105495022,57.321379485995266,59.16081140128177,58.15058890787337,57.053916913494966,58.522017820680674,54.87310584258538,59.183036608507706,59.49717174048585,53.28868452697653,54.72226472108071,59.0716867123058,56.016065428920925,52.969728118288515,55.525910750054635,57.40482440601712,53.60958799007926,51.01878075572932,48.29020164373221,48.24585174138225,51.30711470896394,49.90854905103781,50.31443507704442,51.89743422660583,47.801623541864394,45.745914775613336,48.08328595165766,46.65093264358877,42.09458665515198,43.396615574586185,44.1552460369675,41.2905627640067,40.49308288163379,45.275504482931424,44.13483495106737,39.96130960632205,43.5586628450377,47.36635797196731,47.564943036701045,49.89979061641017,48.62206236012498,52.95658401889356,52.368838038733934,47.31235542839871,50.540693478556996,53.21274422230957,50.525233276030136,48.9317291411057,54.934565767333254,54.69069161072971,49.6914896449634,51.53760644976196,56.54402082061463,55.19955090810844,51.48320134726877,47.014899428620005,51.400318005016516,47.81218643889611,48.135120882717715,42.80804884923431,41.625068759107194,37.09201270875755,37.96955858390925,39.10294684538311,42.3552653446975,41.55807657973213,42.445862439136484,37.58337033011919,39.57694640045611,35.10321822347187,34.673823010348855,35.05491102469813,36.66577997390205,32.94241259833637,31.314196248275135,33.188565439525874,30.137106148851647,26.70134103981036,29.654475895698326,30.59546549160088,26.963641733299685,24.437004751640387,24.406106320271025,24.26676730917584],[35.361649886228214,35.00644642635338,34.820959125576564,31.205253820267373,32.39080758559402,27.089364206602113,25.06500619727958,24.019656824702132,19.331330944248563,18.52040647682657,15.352005295541073,16.39658392405543,19.589024387033433,16.668168931878782,16.000807472553905,19.17323198108226,21.545513402664923,22.89381081546557,26.094358216830198,29.1092385719377,31.532717240755687,35.86950981574768,36.69158306417614,37.95292928506921,36.19933329625247,31.995178207037295,31.29200158427395,27.750556871273666,25.708336135250715,24.510659160395132,20.998905719612146,23.123349878510393,22.942728943451673,25.741662106764686,27.003561761689998,27.019139311147605,28.5240578178523,31.224818340447367,33.50207541824827,39.59346145259741,37.97651752370983,35.45031813551299,39.08666002979448,41.36179917621675,44.015062389224305,46.17329845751622,49.10094062828277,45.92536601053988,45.04800454315554,50.416011990706586,49.52796873632843,50.12954871714231,48.67421254353441,44.038121785595,44.99360254422934,47.674736371786054,44.487991257499445,41.175315456293674,44.753592429063374,46.54925323223718,41.41975879348895,39.41520236705046,35.79331577309381,37.39103243934954,37.75488812292584,34.342730087633896,30.129363731891033,26.34556421825789,23.99085044659013,19.69153946974912,19.852357766265467,19.382120323248195,20.00060542616144,24.838873608454353,23.985655024117413,28.554966692163916,30.7014710182081,31.72599619845802,33.42940582989994,36.951074432830325,36.31796114114236,38.93878637331995,37.9234507148429,40.60158971908898,38.83199828659474,34.91634753741428,34.248106648049124,32.86283035385288,30.728658233267588,29.981513102887067,26.476357161447012,26.13330695467715,22.44129751823594,20.664751025579452,17.98079921512075,14.888954022214774,13.186478185126111,18.09582070813458,18.59265342661975,21.44888964299465,24.240390978254517,28.07992620292326,29.642828774028793,32.2922897277986,37.65476986510193,35.88810783464447,40.017885065269596,41.61903169438478,39.28131563646496,36.08201464242199,33.278295908149474,31.33384714544158,26.908884896024173,27.79897353905443,23.733887995919247,25.803897894498512,25.358914280108838,28.08431023087145,27.015981193691925,23.197023954506122,22.024284066412505,20.66687611762997,24.003512584568877,24.044576609227036,24.119990849278423,29.181869270431985,29.778793915727448,32.75506686624113,36.00614758839017,38.359486068221976,41.302698233005515,44.63868785974852,45.063546787277865,43.09270286959958,41.22850086035944,36.960093539033195,39.29331108971789,35.350023886879235,33.07262977162297,32.85805178317566,34.07472849342578,36.007855009417206,32.41810766825008,31.5708391411513,32.864302478701056,29.35992385162351,28.526107938376335,26.6124098347796,27.904758956441075,24.756221798848635,27.304691955612263,23.39753736249319,26.61046932479164,24.057089506546536,21.49012769346759,23.76649960738558,22.801714323194794,26.999120877865998,25.93937670753544,30.807002989374293,32.428130603059564,31.367401558406257,33.46937466263788,36.01118649399584,40.03403753878412,40.199912984180735,43.59284644071941,46.67035572389165,45.81521173837686,41.80167548862443,41.35927155979182,37.6260814845852,38.512386804011214,37.37230454776855,35.688241108571745,35.26401095952151,31.053101315390368,35.61810427239896,37.307384280308675,39.4321736903658,40.50472399499401,38.472460534784815,44.02136168953242,46.94367733056233,44.3023761510069,44.44001382376711,41.50438599402447,46.764658197122905,46.20803856438268,48.97468171264544,50.59882610419862,47.8878488813266,49.27100077990365,48.10508466136761,49.04917963655601,50.49888479822726,46.87201314368243,47.607376900223244,46.20003554998235,42.958273088478464,46.733074025390856,43.63292630649136,40.472227345744734,43.819412562924015,45.515488310893524,40.8917511951132,40.34663602665065,44.48306639092011,44.08697257735926,39.41013127684663,41.90831844512965,44.114831113195855,39.97553177148017,39.30303388475979,43.86724653080742,44.31659792178407,48.40498775483983,50.191060851463504,49.20114378469941,51.67997036690942,56.13676587348834,59.3953692942306,61.025121147468475,59.74411982560222,58.46754103424378,59.70164300950821,55.84966995993132,60.09693352225981,60.693836805028745,54.48855846039947,55.637953633568785,60.085677158826286,57.25678090310918,54.038475814593816,56.35689582412502,58.5680178378488,54.926421224620576,51.9353286146875,49.42970908284287,48.909438968764285,51.99209304050593,50.738513733996164,50.839964532665626,52.49391800463983,48.178296477385125,46.30374928274885,48.956344746322365,47.334383870483045,42.83180566292474,44.51935449615083,45.292744628505964,42.45455945040396,41.94150748751485,46.76330567415693,45.64497541865457,41.68648665654104,45.430381165440906,49.17232567451773,49.36456074761517,51.448817654036425,49.940126871124676,54.28362742681195,54.02724623416653,48.97877337783554,51.94555013320625,54.8582697338021,52.33282713268655,50.51670583396354,56.48926262248608,56.558609969947504,51.56128611487032,53.11326360101601,58.237732172785066,57.16089900876641,53.45990372522361,49.11483487053631,53.62948479761693,50.21351939573614,50.608160704748386,45.287306749237764,43.8665944533933,39.41100291219414,40.46509713855282,41.34316532342226,44.528856635326264,43.45411674189367,44.16619779909874,39.07309249781766,40.683697825749356,36.11643179501783,36.05282605957961,36.03226613390253,37.72412312778372,33.73402030611358,32.50280083380277,34.74429501685961,31.557110658475924,28.07462016833407,31.65303049716227,32.599258218490796,28.906796833435084,26.354705498811192,26.060025053353264,25.657524581056492],[32.11887009343639,31.498751391767016,30.943367521877835,27.35895825005246,28.207805623507372,23.036241826101648,20.810327077190287,19.819988176397747,15.100715708287186,14.16879168484978,11.071189346306696,12.450676986708038,15.507066853288855,12.570964468529548,12.503163413565613,15.706445392952771,17.89558394293995,19.847916943046275,23.35011659212213,26.250545229765578,29.023728509926833,33.31029367335333,34.325569245968694,35.417124210891856,33.3435195972736,29.07364302758184,28.009639187593386,24.251201551974148,22.309291420887945,21.016237409187532,18.423790149571143,20.080766288664368,20.59999953303354,23.763647175602987,24.401200887170656,24.187893730152833,25.304493759973663,27.94214541401912,30.01014880685834,36.16647023843058,34.523801479178594,32.39246649937666,36.160680114951674,38.21286560926695,40.938444384520885,42.896528506296264,45.98489922883633,42.844798958432314,41.64619982096707,47.035221280486475,46.31581774341587,46.830587307554396,45.576213159793575,40.80274878687272,42.073639173604306,44.90600169834997,41.66290952192897,38.50555653026516,42.34299113018733,44.05752174480646,39.01106527273087,37.43160404456595,33.90706726820227,35.734525107655244,35.66959967716487,32.01438253933632,28.07715919486543,24.11583117410228,21.860703252585793,17.525274740591154,17.826089518712593,18.205091227646715,18.713609934343527,23.50535027765364,22.309690192121483,27.455032467054043,28.867205514991,30.16755617459485,31.35447593931565,34.58558159583663,33.601858128697636,35.85680729208632,34.656920660442886,37.097744566814164,35.20973993571596,31.481340438389925,31.177115637664517,29.95890496011614,28.152699724296596,27.97086124823504,24.622947054899267,25.055004861648506,21.195685551906355,19.129827895499123,15.673378722222504,13.231031824871634,10.446411797552713,15.404680652940447,15.380664056485525,18.519917626150086,21.07141002877782,24.585442474407486,26.111841833483073,28.452994688873886,33.730279122884646,31.758160865465882,35.90300936493924,37.379868967305136,35.00610874847994,31.887433870061496,29.016875774333755,27.016549106258,22.56655894524392,23.476039739571014,19.51991356795227,21.732696490395,21.570912219250197,24.463967030566643,23.970412516533766,19.946846154614384,18.668357480747947,16.90410796083453,20.1891577188298,19.942038391571447,19.850425562205825,24.877852032287283,25.456981104103413,28.398171937233013,31.657359198602144,34.05773354122852,36.94688995221118,40.308675659620505,40.74089384270297,38.843651057819386,36.91989897496764,32.6490989294272,34.9697222819009,31.09495965141094,28.9406428995605,28.77877093838801,30.30505065954408,32.428057186157865,28.853958521722085,27.744964921121824,29.12932006893374,25.563595827172946,24.52799305447095,22.508632150192117,23.70091915209645,20.49651233122758,23.174776653049204,19.452709998599794,23.037219674973283,20.960985224384714,18.374909313275513,20.329779387057503,19.019685704146617,23.101542321987576,22.05649440266652,26.702447618551513,28.25445692922917,27.462524608925897,29.43579293016776,32.13553559729628,36.041036368669225,36.16795294770004,39.45033004860451,42.572736181900176,41.61497303388714,37.63573652833367,37.119534894488055,33.42267464825914,34.36611239100975,33.28707619823856,31.741315185353415,31.404719897717538,27.335869693462953,32.106549449432194,33.61949976906467,35.645375640150505,36.53182746961334,34.352347423384074,39.89380732544519,42.81997574437713,40.177120153489184,40.53581609576974,37.76589835977414,43.05954130959031,42.479906232983794,45.0947241938712,46.601943493207344,43.823621551575954,45.07952316994307,43.83797134394389,44.73604211327408,46.15159138878781,42.51956397553847,43.2561998925737,41.88353730953842,38.66110324050052,42.5093367523588,39.48239493830667,36.27198908768405,39.663766974431866,41.46092837066904,36.89900182569183,36.34350948720055,40.55091706570165,40.298036738588145,35.669992859281635,38.22569682687793,40.55331691975892,36.52433480247976,35.88777808743646,40.503294362935655,40.77515206517682,44.942870479909445,46.49127090119086,45.4011268895908,47.9628499264828,52.30339579858386,55.69780449171268,57.176749044630455,55.861087338652396,54.46492858802624,55.656753357620765,51.763015844778,55.94362400451618,56.550921134213155,50.32068722114221,51.4179833646244,55.82903122250957,53.01797189099595,49.761772250401144,52.040147695498085,54.272724163141994,50.66179287699551,47.59791031645073,45.14841665549382,44.60996175871292,47.73277915116189,46.585446466865164,46.73144105169241,48.54573384755993,44.19626433114153,42.22135399506742,45.01394587535734,43.540402444507954,38.93240500395519,40.62695310524786,41.63226830452853,38.88588489978333,38.26001559931787,43.16735137265164,42.26161598197768,38.342049940012394,41.970671166639036,45.73181599086057,45.74441483935229,47.72517696044151,46.06874172439178,50.36215161899586,50.21644574943191,45.08066674130953,47.911174605902204,50.875118225932205,48.39441512454091,46.4217338997033,52.383669116497146,52.55247631908175,47.5285847291161,48.944002911746544,54.108552566266965,53.14118452599731,49.44241712200535,45.16887565538824,49.751481898084066,46.460174535099696,46.92418602348331,41.61396299817883,40.05976409329206,35.695427566199754,36.816808324518874,37.49914401095194,40.6357118744423,39.4087237213829,40.048748858276824,34.87991148643817,36.39448612168337,31.805727754874855,31.944409677558927,31.92144763234869,33.77457854139926,29.822253445057154,28.454599954166685,30.963397868063325,27.945934767439212,24.14440105346347,27.952442756106276,29.173375278972355,25.682147096192036,23.167443827473384,22.986241762643328,22.65760944489374],[32.84951135616694,32.33929510162378,32.216391090119544,28.022685928920133,29.829346223477852,24.984690959062856,23.166002586467876,23.267609693452478,18.3311045816758,17.181846834794587,14.92970695767619,17.412288295134,19.497178714357645,15.490838360940936,16.570697006549807,19.994116119391013,21.031893230304465,22.80319532268241,25.206932797535362,28.849773378467756,31.082926366717448,35.614705228476026,36.026151734178164,36.67237322696577,35.10055280835035,30.662526152296778,30.19985549847578,26.598981851585282,25.525231396982733,25.09308876805485,22.632488564478823,25.042344336652445,25.884129239433037,28.60692118247753,29.07355311290944,28.201019958703295,29.752579215703687,31.432075754136473,33.158579018412254,39.52912889552746,37.07739113177045,35.00005164763302,39.026424819927236,40.94546448884263,43.22852459380054,45.045931020174386,48.27194552451496,45.55407493632492,44.32809299817796,49.789847757786646,49.4893046533188,50.30991772543824,49.21445542320123,44.45282805992502,46.07488143617619,48.5588686881176,44.950896264261424,42.15182090762372,46.0390811770689,47.21771508786225,41.97627099063802,40.587204142431816,37.321905305513496,38.38809797759105,38.26592710631108,34.98532216295087,30.33863842679763,26.898703906666388,23.639602134130122,19.80564303709302,19.07534152134535,18.772213734834196,20.62583543932161,25.32957622108816,25.31996512744439,30.62077727628313,32.292869931527974,34.12864450686478,35.38796153477345,38.473942872786516,37.92267002812367,39.9024065635588,39.16660372262048,41.26447169331415,38.91720370021908,35.48513111550639,34.93243559503734,34.41753744773808,32.01509852645199,32.440803795128936,28.685500105555093,28.89192433254821,25.332073943016994,23.88401138106385,20.4867228960271,18.169184878980595,15.406100220739276,20.91745130058163,20.949758747772822,24.30940164425882,26.566208008519393,29.911683699435468,31.169460573267056,33.24723708309745,38.222896475944374,35.8562666179219,39.9989863814903,41.001363469365025,38.31529664796684,35.66367589097942,32.31803438373991,30.298958025767856,25.651683858608138,26.017407671539154,22.024402284075133,23.38987789399126,23.373509842397688,25.36583647392604,24.888417115048114,21.735366256845868,19.702584940882396,18.279705011120267,20.701850311935083,21.039031647541858,21.41702900861124,26.642736444238942,27.84006005145012,30.931470323346872,34.4351121543382,37.32718898993186,39.5316484231134,43.302879968305874,43.525328989687395,42.21477378635906,39.56635093829287,35.172086790318126,36.78391699804204,32.662784737805076,29.99434574459828,30.283082688468053,30.891469550577,33.28631605754594,30.185076003342218,29.454664626739042,31.431286172191726,28.420896817854334,27.147662784685668,25.856046511437505,27.35059454171662,24.272155128041863,27.331451936377803,23.943068958423762,27.991133514327966,25.858333024247372,23.787258044186522,25.712204963457946,24.068618558986877,27.889332921126147,26.68970971457594,30.86203922264118,31.645954923715003,30.98846189393986,31.98570757921829,35.10490482299098,38.421664844242834,37.801972207894345,41.48144776877876,44.13675428911939,43.12459538476435,39.01142292410594,38.99240541576455,35.44017932349879,37.11372569328739,36.581832233557016,35.49192885879286,35.698670883376884,31.757753433454912,36.85434295888343,37.78700401065147,39.91837899595464,40.09798871263004,38.13197139633038,43.427824261640026,46.119937465909615,43.21669004824764,43.60553442101502,40.75080956839937,45.84967418537328,44.57874194744356,47.524971306655594,48.90055966299402,46.370993250390804,47.48056746378084,46.24342748228168,47.223791350389675,48.504041239373954,44.64035612505211,45.713770675693546,44.15964717679439,41.39898938697026,45.26647938377448,42.63117523692904,39.11642687591164,41.98449049439531,44.15447558103159,39.62821926313106,38.19313319748262,42.62907087624131,42.99498802725249,37.82777362235337,39.967939649040005,42.56784617935406,38.721109069616865,37.327725337897874,41.84993270437148,41.96832492479235,46.54423473479404,47.540601921043304,46.99449445870346,49.815160424948864,54.289352052878606,57.667481211536966,59.337927519479436,58.511697011058494,57.20669004584013,58.68776641995516,54.99322470556103,59.08212534147299,59.30278414220809,52.99458676813215,54.35889894805565,58.45687588547298,55.29533549861198,52.1867056183247,54.58725258853921,56.260405893405604,52.45503341337758,49.68489924075901,47.37961629495554,47.540027610276006,50.819825026847155,49.85849655359746,50.429129336851446,52.4602374266918,48.264557091865036,45.95813148543109,48.65764235646345,47.590792969920976,42.809738776954944,44.04154238941195,45.29982031885693,42.60605790389157,41.470791002356684,46.397722432553046,45.63401253961335,41.411375107636594,44.68962398321102,48.583175179349496,48.42048676710953,50.70920477405069,49.21853065525451,53.41095198863478,52.882097469292795,47.5726239774038,50.604159041772625,53.21376788221526,50.47491684369481,48.542589098901786,54.538428195034456,54.22588750891892,49.032512837030126,50.670665206874666,55.70288578549485,54.309590436521994,50.475012738606345,46.020624475738494,50.211543146371525,46.60485419409793,47.418110766748434,42.02280399485263,41.11219250283896,36.77315676943822,37.136439575932464,38.07146608551655,41.055238178443766,40.18946453965131,41.501353192018264,36.63873836053859,38.63096839006856,34.05188377028285,34.48874691085044,35.15679271009635,37.20726451579015,33.664623005040106,31.52550331445805,33.87981523267137,31.29465105646394,27.145742461709244,30.05393061770982,31.66746711872784,28.46504614230026,25.99724996054359,26.287831421320867,26.282699379150937],[31.44539306193777,30.62228464257101,30.145751912443277,25.688147460457245,27.385952201377428,23.051378695107847,21.066362834414058,21.753853264531916,16.880862513099725,15.193340293140356,13.554902211716657,16.81523593156455,17.904436003544564,13.42920639123322,15.432466201678421,18.812680271724506,19.01363317343156,21.005638195132118,23.001932308740876,26.849480618772144,29.04185878441196,33.58973151285089,33.86912194825475,34.18939966037946,32.61887425349461,28.108985667238045,27.689564471556398,24.092606576040584,23.558782554328648,23.578150647621843,21.858289219120454,24.346838575999048,25.81771449184595,28.44469287886634,28.363586033300482,26.976068464890247,28.504852506866463,29.562863769243037,30.958273695045197,37.402056188705004,34.556162051669006,32.77496719522772,36.97094665056515,38.66009846141837,40.768109819593775,42.387974838645746,45.757710228797606,43.26774590392977,41.842164450515504,47.31978255458627,47.31998834835641,48.23871369831388,47.351786848585206,42.549523605579296,44.54009624301936,46.917517727475065,43.11602530745223,40.62871044121497,44.68680027769613,45.532319243889646,40.30204785929404,39.33805416231645,36.31062127871567,37.18259550212876,36.69959452613954,33.45361267488995,28.755427637945836,25.497708867106624,21.916905064782878,18.432543826713466,17.337676748418094,17.46820242565052,19.756945425738447,24.232090614966808,24.499089735449044,30.213210485055814,31.400957423776045,33.69009228304903,34.57675822991649,37.332321359210795,36.78003900903374,38.34455311019461,37.785342581672175,39.52911436058772,36.88082091724789,33.75386713200956,33.284420782437785,33.282237767714214,30.804844731196894,31.9623522112687,28.17612794617112,28.858889012877153,25.40582661051582,24.1177605298176,20.33763991486487,18.655800943846334,15.379273321371409,20.971705569509364,20.81565941497863,24.5806085088322,26.199009424703604,29.325947480656904,30.19647312790987,32.04149916611079,36.66278112184233,34.10458028295123,38.29493463486558,38.963507665774245,36.243304897513646,33.889674264171894,30.38642047707062,28.138817718607253,23.507597735567323,23.42016099976301,19.43467623287012,20.36717185885376,20.50528877267944,22.134475015250377,22.02791863520735,19.219438925441242,16.788814180449357,15.347279884273938,17.310892588185116,17.86348039202486,18.567940030812778,23.741420949679384,25.477909550688054,28.414910264800035,32.01926820128424,35.03363137181688,36.93382696480979,40.87135983461904,40.87964252929833,39.87089749599643,36.8474792968628,32.42986647757914,33.80041361801282,29.53793730385486,26.677876815087362,27.09923127179497,27.42885466082914,29.984855259547718,27.111777411536995,26.430738397353387,28.69983678606979,25.984365551105697,24.530992662070087,23.644511909374714,25.320409944466643,22.49228063120961,25.928024832830985,23.07323969194305,27.553370371941295,26.048769675982935,24.03757126081034,25.46076741536703,23.30935897305839,26.833833171743375,25.39059332235716,29.15241716973468,29.36450763717592,28.83360812904283,29.25312305798392,32.60023091826351,35.557020690405864,34.613844044448804,38.41918871657416,40.88333292696044,39.87300665658856,35.728504448217336,35.90141368313237,32.41923138466166,34.410473861978886,34.18278015415866,33.39876010101435,33.982910646457306,30.220850580337153,35.5503649475825,36.00840645383001,38.15671462462727,37.8419250973725,36.0306067382927,41.11956754084935,43.65137536275474,40.620680517065125,41.06839094280869,38.2581849875894,43.24100771845219,41.650096514088546,44.66560315020087,45.94046236052184,43.51982147040583,44.54952299858355,43.34168385918618,44.39301798508319,45.67363612126244,41.78249913096758,43.08481859272823,41.61529367027744,39.10657898493678,43.126384881210065,40.776389680237415,37.10732717890142,39.84298420962629,42.31464209893629,37.940469568725504,36.14709917895394,40.764299980919674,41.56904435803693,36.32072984775162,38.35408864179526,41.209068721468704,37.607906883665585,35.97465476329805,40.48855126586397,40.29794538595326,45.12749666358865,45.54839372138259,45.101151451749146,48.13500266310497,52.47267646942004,56.022568531596384,57.54257753113581,56.83742795137274,55.38690259156427,56.877456604358805,53.180044065289586,57.10143185242966,57.238347606912555,50.88850560596141,52.21916443331918,56.125536203189675,52.8944895342656,49.76748177817712,52.07856277676129,53.59330649999944,49.790707809843276,46.94428382689542,44.897278502322834,45.23534461995127,48.639117730116865,47.96624098824451,48.68868339136494,51.022966467434465,46.8139721119671,44.313271528020884,47.219999135222935,46.45825338389496,41.5380720751784,42.67080349475124,44.30238254512856,41.765998365160414,40.36577053298118,45.364901469628514,44.908860247125,40.68876443632198,43.691479923098015,47.620918269631005,47.176215793203696,49.40607407068486,47.76550338676052,51.82862522254228,51.34725285140522,45.883284161821265,48.753065350912756,51.307765242119146,48.55470454192232,46.39022977012605,52.35161090466166,52.011021703558264,46.71347454309255,48.194157219640914,53.22755377162085,51.830299641779796,47.940156131396925,43.53232689055027,47.61006654726754,44.047802527708946,45.17033261725507,39.76397978249543,38.984909772208994,34.82823732331234,34.888947531820584,35.63326854390633,38.42077713405363,37.47891474319981,39.03124651325417,34.19820082195035,36.18506318184871,31.586236424168465,32.592732789454544,33.48430996867236,35.82932950000785,32.497974108217996,29.96820175392848,32.63873653533709,30.458542465059377,25.83621011179611,28.669300899529503,30.77667631101333,27.97280721130733,25.612017450279453,26.171128971530216,26.310030585658623],[34.55196623396688,33.45477247413554,32.66940885702887,27.84815736186571,29.468574542018207,26.060790449871604,23.88384999875382,25.22898641712536,20.62406106971919,18.080086553328766,16.996318460516676,20.79056272901021,20.49214916176127,15.609713525280572,17.761992620903182,20.98661112208282,20.067109696957072,21.364874193030285,21.99031871944534,26.364239976405663,27.829743198457116,32.441291894595736,32.096306043374916,32.015780849228875,31.04168125047298,26.581227957705938,26.921540793928347,23.829674422377032,24.139140493076752,25.167387896852844,23.431220130664975,26.776009875687095,28.49268661049275,30.410179617994338,30.108868933295962,28.022447145749478,30.137916136380447,30.043647012949982,31.135752576774316,37.5537330471236,33.97073299116522,32.09096635102285,36.369250084439614,37.96710467144256,39.56326355880475,41.13440647657567,44.48384743780471,42.42319320564892,41.182316438873166,46.62336826749556,46.94648837236778,48.23682053428842,47.4375951884317,42.81344337060817,45.04510408426052,46.915095616362905,42.78959482718122,40.726130874328526,44.72105175292437,44.95793906899407,39.62425810348902,38.89453773377346,36.25645764703948,36.307004979572255,35.72945388694456,32.987915620874496,27.759163649690723,25.231228416248968,20.880704797422116,18.294556476971145,16.275631878225003,15.909447476747992,19.273848943368442,23.209724274500672,24.623474568383056,30.322002395618433,31.553975777115024,34.418531989378806,35.277823100931776,37.766853067040145,37.79648137406566,39.08598713569173,39.23883411112447,40.6560051832739,37.59439722277747,34.76668312652914,33.827437471884146,34.62897971793967,31.45472200145536,33.299464175542724,29.211490614381834,29.79951613963764,26.837935996356016,26.288395701061326,22.736042288974424,21.448072729205073,18.445047173078787,24.275947087745408,24.523010760738238,28.88149414062441,29.541021039420986,32.90473772872707,32.975981327046114,35.00038890018875,39.04806255688541,36.58242120844375,40.907768004714086,41.15817009892844,38.57790510531457,36.616616397536696,33.06862536820211,30.330057488281607,25.922869818383358,24.899243400145195,20.747851748825735,20.643530861992513,20.3434993812486,20.925406924638764,20.30989324800006,18.676581292373207,15.928924514549857,15.462270517773781,16.754853133240495,18.33952285566456,20.045767562917714,24.826139412657405,27.68685487416542,30.15588877408517,33.8541926265935,36.82091339185987,38.34202474975765,42.46777807788071,41.940174123062846,41.33749418376545,37.75030694631634,33.371459402934576,34.46235200589648,29.814761594641237,26.44080849996051,26.81046841691889,25.965373426465913,28.26917716657557,25.842871647082408,25.818465136035577,28.353889372611043,26.372551613318265,25.057296916094923,25.136540189224554,27.37270985677996,25.234340390404018,29.19632868747531,27.034664235660216,31.78201589312797,30.896322802350326,28.73567387711596,29.607549813229774,26.93149506849387,30.196108223439392,28.133327131897392,31.60335918774719,30.810192154919758,29.923533127513192,29.52874239417989,32.90492883614206,35.38139321152298,33.972259947789155,38.19394356637531,40.18055952274326,39.4865033607828,35.28780474122831,35.954580595364284,32.55134410732019,34.911802139278095,35.13218043011315,34.66630192503114,35.855086820325916,32.169237766853314,37.623915607760345,37.39780387319782,39.783942788083884,38.80452621689879,37.673856310892994,42.319526093941285,44.486393058010485,41.214821030534324,41.284940572248004,38.24902030351612,42.89278610712266,40.71684783766565,44.14989419516977,45.46515788792547,43.436016176628264,44.60781861909868,43.68295333297642,45.01426785322478,46.44353577382998,42.6343931328342,44.425949082390154,43.22075593256687,41.16262152517204,45.42491597268775,43.51861017659977,39.68359054078937,42.20340110289667,45.101249169392254,40.98896514857386,38.67305624886643,43.49684220051466,44.90077662119818,39.56665489842015,41.37394459379166,44.52714126145481,41.25873206090252,39.24388325275041,43.65381357060302,43.08994518340697,48.24251089804472,47.83808292299911,47.65928737810259,50.97831094933008,55.12986774387485,58.85571121939938,60.21595825535892,59.72821344078322,58.09172521017135,59.579828544767274,55.87970444374166,59.51628456799498,59.55646750073743,53.18675581107182,54.4165895089592,57.989017972641506,54.68302877780474,51.53270461742326,53.61580634754285,54.86707215773312,51.110576857266956,48.09044221467057,46.60279928089498,47.152922846779845,50.74375598674748,50.56294775373536,51.42225164964712,54.173273960439666,49.90987588976115,47.22316100062641,50.45468154483473,50.031527459520596,44.99717745034978,46.06028992182902,48.108818574447824,45.75881130402926,44.096942007356404,49.13091553633407,48.995052944185204,44.79207109151353,47.466592169822135,51.41326709363353,50.657649853025184,52.82872459664598,51.02045249826992,54.88611601480983,54.455251471563834,48.829175052319115,51.46214485053149,53.90037269373346,51.12472951523696,48.65069139312031,54.50607004971508,54.068555489046425,48.640591900481255,49.87646644450048,54.850342043971196,53.38700996257026,49.41775179129284,45.09567991046681,48.82557903656501,45.27029275170901,46.950208183040296,41.58632792399123,41.1955465048473,37.35789366055563,36.79250344493062,37.333167223234106,39.71426054868584,38.75659802841189,40.810811810282026,36.13720997799506,38.0639397577687,33.49501245056597,35.43167382754728,36.57700370915887,39.27540934709988,36.188264690374425,33.29516864214714,36.30944666436028,34.587510130845644,29.55261858224002,32.187209902203584,34.7921040942032,32.405312011129766,30.16610181594285,30.92213447089563,31.120541360963216],[31.32421687424862,30.812786032587788,31.059656879018572,26.343646570064575,29.163007945562835,25.02339212228141,23.82770404351334,25.22126599249267,20.482930408914783,19.418058196861914,18.436941219771413,21.75997171059801,22.897230135311307,18.366012795076365,20.97009218994489,24.28802620515218,24.06726158658281,26.170690586497415,27.620050117113234,31.718815266293753,33.65100333401655,38.225596263357446,38.17318750811283,38.11764141853169,36.82197466244725,32.29503138616591,32.115334672465885,28.61752147293893,28.607535496010314,28.87062174526204,27.480995656661513,29.92350625127304,31.50574616537452,34.14714293671325,33.989316292644496,32.42937520549797,33.910091352814355,34.62597337057839,35.722520116926574,42.18702653591984,38.93098518698391,37.429081620649605,41.7451313942726,43.2322814579072,45.061350197355715,46.441780331130936,49.94327854920279,47.782965623923864,46.18192150157907,51.63555982629226,51.98264831043047,53.00152915231124,52.30521518434497,47.485507435810696,49.74637315338944,52.0177153069502,48.061955184038425,45.818346238188425,49.92836665924817,50.49412830837063,45.242399753546515,44.46111732514467,41.58983814118342,42.11884034333557,41.55696040487388,38.507329146196895,33.58214198071645,30.633197831643,26.67903626847124,23.575033576967606,22.043262076346057,21.83092518380243,24.712728827815717,29.00404179567227,29.786679277106025,35.46711454014932,36.74025541381199,39.198889025312255,40.07791529568058,42.72180268884126,42.23366724244296,43.57096571113471,43.05658549607119,44.546968272426426,41.69619642217538,38.85191306942468,38.4761657907361,38.74575025646858,36.21422347355395,37.59758035736013,33.74751323398037,34.335108674105044,30.978925049901687,29.795205086541124,26.049788227833638,24.307660759427634,21.065513177979053,26.574424259468664,26.176919567424257,29.570574786342103,31.55625428210838,34.240970590057465,35.3621066434175,36.72389976867976,41.24536056002204,38.244000989555296,42.203636839210176,42.55376901867968,39.45957291434941,37.49874103915968,33.62811025274357,31.79989709336579,27.124147604764396,27.022365142254195,23.527420526678466,23.991603725448066,24.606841276991556,25.552895450678427,25.907484452634996,23.772373401833033,20.911383981048726,19.512012001863535,20.384004954947695,20.978605295206314,21.54302618479987,26.6131752777076,28.250310566532978,31.45721336267466,35.09481511195162,38.602006879995706,39.82284041057573,44.01268363116652,44.10519181564188,43.60297430061347,40.14780742227227,35.74836665759465,36.3248653741421,32.22638062108026,29.218185909206166,30.25023131083964,30.09481030364382,33.06427919812062,30.736377205948457,30.142736826963684,32.85751433538497,30.51764799110097,28.777364811033685,28.166380121770025,29.677316512550487,26.731058453804778,29.981850368388336,27.168829536997926,31.709052692340784,29.801191365917298,28.430640096740042,30.15982334887537,28.15701708312757,31.43636470672463,30.33411449862013,33.58890298279732,33.58257853715433,33.49860112706736,33.24455600079699,36.93286369895105,39.315847450516245,37.7378117528894,41.62237465194853,43.696739020317025,42.42792944116889,38.3081507023845,38.80478551909957,35.629735141449224,38.221152337117985,38.38968718880407,37.98633562797811,38.778275222076005,35.26572865288556,40.70317447773913,40.932365832536476,42.964650154732226,42.24331696421333,40.28296979177392,45.20234711213806,47.61422538182411,44.50684325107176,45.259024794559174,42.60862902650104,47.42280741721066,45.361552939368565,48.421331973931586,49.44347625761772,47.14505566658165,47.84198257265034,46.47960243038857,47.41832983989621,48.38971037112446,44.26436071435623,45.64602549597824,43.82673178254387,41.69840110101343,45.46841637488622,43.39529075205631,39.58119742669417,41.71256817214801,44.313691816547255,39.96673095281853,37.47870469328185,42.09418162940321,43.28390361133492,37.61421487961893,39.199859013281355,42.13254717677634,38.685688177185156,36.41487673006145,40.716046657304055,40.53563744780836,45.556665708580596,45.7210959405746,45.811417675579136,48.93571121680159,53.44739591892688,56.81894366179803,58.63576684714513,58.42152407117101,57.20772068756465,59.030847463439756,55.64197533629347,59.55208710598935,59.26210293357321,52.94322308235901,54.640064046731254,58.28251075315253,54.714463046749295,51.85317652298122,54.40902482309014,55.340220905707596,51.343247387903915,49.04822482184737,46.89445096020027,47.96976550746252,51.372423898113965,50.64252461583851,51.785459253184165,54.09023353780796,50.17695699323925,47.44417180085721,49.98128568479756,49.51872597929362,44.57060236839239,45.17285582812031,46.82488043311756,44.302145932626644,42.49503062045726,47.37648242389716,46.9249180369524,42.446501003862075,45.13932029413615,49.126888344826604,48.64748421268291,51.22983279009016,49.912935161316895,53.88689186438094,52.9228181288039,47.455104089335954,50.637185597963324,52.770748472582575,49.7719233855222,47.882742242484994,53.81513375757083,52.93682430043723,47.62019637684445,49.48457179380117,54.27688790169167,52.40776233820587,48.47661788705269,43.90696788295943,47.57460909840935,43.69316445190823,44.93118396354377,39.553862190449976,39.40030096716459,35.26347010410054,34.70660542335888,35.850842783088396,38.559051128097515,38.12773343566276,40.188805047683424,35.84346777750042,38.3750359896772,33.98467353865387,34.73706314653084,36.250284898392685,38.52165639881608,35.632203058175996,32.56473577425719,34.73103964169695,32.868666642383076,28.361032174460004,30.11203076760562,32.28670084977881,29.719148500703106,27.480924331484637,28.38806928588859,28.835172061426267],[30.656005992588085,29.81868453488854,29.847523517555324,24.787538521996854,27.86680227949461,24.840488567287547,23.846577375067888,26.23990296539178,21.987558131384013,20.59921351804756,20.65484492052875,24.539279910914743,24.506872388267507,19.834453476760512,23.36915100940481,26.40057201311647,25.057513424578712,27.293163855142275,27.877772121920948,32.159416357619534,33.81760067836179,38.27224157752416,37.87627634800935,37.1983580388157,36.10084369476701,31.646046661707224,31.678353798968708,28.428206015531618,29.360893069242746,30.28727939172654,29.88625262020259,32.34845667771868,34.59543339381265,37.04459315985836,36.25686192559175,34.068470488085694,35.48574911080893,35.24325776998465,35.745061202797544,42.12205958178017,38.21858222481354,37.27191668930595,41.7392648324516,42.800736604822745,44.20989367360619,45.183503723914754,48.873385389852665,47.22238613422781,45.31862498585816,50.680573440249006,51.5875026582802,52.780738948656385,52.448439601011984,47.66288255621879,50.4733589603511,52.50706283889972,48.29079571503226,46.60495201119606,50.87553446524552,50.86701060165057,45.712972243119886,45.5624051225393,43.1153804637802,43.23158438226284,42.199272983494005,39.37080468638602,34.42277325565556,31.957217162720678,27.63831638082184,25.307130761465327,23.279392157160483,23.41533158093636,26.838590161196574,30.58184188033752,31.87622037038122,37.83372106526075,38.551663595763976,41.562845230146436,41.98901235128174,44.13132702174841,43.70578395440446,44.40720341553783,44.177800900433425,45.07887577274227,41.804647851987696,39.550675502444555,39.30076018399029,40.325516170846306,37.71585016288771,40.01966585470608,36.19071770948255,37.24924380128202,34.134088190965876,33.204103807686266,29.208379206780968,28.12125597850608,24.565159469899747,29.927710549769373,29.314027693313406,32.94483215579693,34.26240643779689,36.504687921651566,37.190192262222915,38.07584542370715,41.97330202776542,38.636384340199776,42.47145146067742,42.215950856186474,39.00251169537308,37.68314314378729,33.574568589481665,31.664159214993624,27.23131340796558,26.46950081813616,23.448455218492118,23.000390024599703,24.00339598443503,23.957454421604684,25.032323282323627,23.890631190488,20.55152815352084,19.35017899156953,18.82880732247393,19.76596334304329,20.730901972694248,25.268916155323566,27.605089961060663,30.54249292954275,34.20315894229607,37.98655919858937,38.41974615619167,42.869878851126956,42.66449368537592,42.842947415205536,38.72394771262216,34.43528329486564,34.23938083741494,30.13226906620516,26.852524615622745,28.362790124470866,27.46048944166043,30.763379685916913,29.178864790242365,28.763437169869093,31.990169637578386,30.358080516350206,28.347674286308056,28.468290229513087,30.091899110894907,27.59956251856442,31.109551930254252,29.10515204047265,34.00285430927224,32.77077297880048,31.67678783026303,32.87534547220569,30.4059299270832,33.12717469137918,31.87008121913837,34.29916256396889,33.412991630578055,33.66710988458848,32.31587752266138,36.334635561135705,37.86179915416898,35.52854708034975,39.556029268147455,41.08291863622616,39.73454226339939,35.67687778618267,36.639187342566174,33.82107298692574,37.08672981602905,37.86750137633191,38.059049936592494,39.4271483176003,36.33856603870382,41.960558901642656,41.46970615716055,43.44348697059131,41.89134966491846,40.16217946590196,44.591085987587846,46.66265368675982,43.396821459638566,44.32605226600581,41.85498361220424,46.313334330449784,43.600138572020974,46.740573982268046,47.48699640068758,45.465165225222336,45.889978478631654,44.54058455686557,45.52764267659167,46.34736624629132,42.15620785442975,43.910463573976244,42.105867147029954,40.587507471498704,44.39674335745343,42.91142053625616,38.90095775051017,40.51202150055819,43.570358349377734,39.561830807711935,36.28870481236424,41.06743841392107,43.05490412816193,37.22432718852685,38.40771235045299,41.690855234509826,38.75486370142228,35.91311394395175,39.99466704906994,39.34476021045376,44.74144625119482,43.8861198672508,44.383340524494386,47.8254381009569,52.13836304118685,55.64959915524526,57.347288027528485,57.52910840551916,56.211521568840816,58.16545486348514,54.942399187237854,58.54841437088631,57.9567032200247,51.6702978642948,53.44776725038041,56.636614807675464,52.85856960735754,50.12735171315149,52.6138199561371,53.021237720200034,48.99350168476025,46.86609941272761,45.11283413746559,46.76723758096199,50.29802219759174,49.98816997402927,51.504176301627375,54.19787996940462,50.43910857407122,47.3885385155708,50.033511363756645,50.12338263086515,45.06148114215818,45.305551850895625,47.46039654217762,45.20771570318673,42.912776832289545,47.75460924929312,47.7445759652771,43.25623452959493,45.38285900815467,49.3750246082303,48.48142505838746,51.08120104870192,49.698814485913765,53.3868641799433,52.305691756253374,46.69313458980316,49.712719530168336,51.54882783541284,48.46503410481705,46.37139774153736,52.14617460014278,50.99249447267196,45.58004230393517,47.34271210716703,51.95817916428274,49.88374053966364,45.894042018924495,41.39382772942604,44.60780813726956,40.69330550760436,42.49189764325858,37.2119679611562,37.592972392811866,33.86987515593873,32.51774359976922,33.51848920270891,35.78394131112803,35.50244650447678,38.17047179586516,34.228440773628805,36.933761333953385,32.75051716838978,34.22887876726291,36.282108914556254,38.875007046572996,36.530632725462446,32.81971097272091,35.151406389160286,34.03275550743242,29.114797788483134,30.228458789293146,33.04675976197353,31.211680588126814,29.241900479623986,30.561060160286107,31.26219629822925],[28.238480999658563,28.00167409502491,28.986002711847565,24.22229234341819,28.182181940444018,24.427287534351667,24.232374597177383,26.39531614372629,22.13520604263325,21.926857535581664,21.85073954194376,25.172983271969883,26.31579912830886,22.039921835030068,25.543030624389125,28.639101990219565,28.02150640681289,30.70735209080904,32.05568422127731,36.09646036307732,38.1524438596647,42.61294959572274,42.531267507390545,42.05482230301645,40.65830758452267,36.14374668954385,35.75315682131394,32.182571869309776,32.63992819900608,32.89117059139088,32.50528894623024,34.34498393773232,36.35810710801494,39.32038615693728,38.7510990654702,37.06506375216675,38.05385474917708,38.59575643993869,39.25064296081456,45.648034973415534,42.17159618606167,41.34685793677024,45.79190337898543,46.881399864460015,48.57383564003434,49.51648984409171,53.25882722033051,51.39799281879104,49.313399732205625,54.69119348463176,55.46945062650494,56.4099864703457,56.06783023671308,51.13850951070307,53.83634995912732,56.217064226600804,52.197245854588495,50.248372958007465,54.562364333229056,54.93517716886842,49.82189366135744,49.49148841880526,46.7786336290416,47.345133093381726,46.42505119885152,43.3127982443967,38.58519882833992,35.70349562147516,31.732896883713185,28.869460148418288,27.262369662130745,27.424494621073023,30.42692029352464,34.548315452690574,35.29401134419596,41.202010424202065,42.04647013471227,44.660243831232194,45.18336007140815,47.539014749178136,46.72390169930656,47.5985107256655,46.82170260828464,47.90444969354084,44.9044767900632,42.510221443242756,42.63100032609579,43.104894936209014,40.97291504418091,42.760296115449535,39.104890706142356,40.087375358442344,36.662663483247385,35.26533031601094,31.216311612585777,29.750688660185656,26.151873929485117,31.226750714706533,30.224454773358698,33.067378927189196,35.40447747710864,37.20343986485855,38.71735969225323,39.20535089950835,43.53639453156237,39.90952143704896,43.44490404948096,43.4012541232873,39.858683490176425,38.42171490718751,34.18463122099709,33.0259251408748,28.445089068379577,28.532683267465668,25.933500674488894,26.129762519218552,27.59593272527676,28.100902726964573,29.553119426525758,27.787810651757024,24.566212756177006,22.779216547007422,22.452478228579363,22.594318823208184,22.60717144861135,27.321566384972062,28.486096251060896,31.98126272370179,35.514997568346175,39.58638250092079,39.97130655347233,44.35002951472143,44.700760412299076,44.786042942878005,40.98187822744178,36.71272203686986,36.33099118606964,32.72783050750313,29.87815175640098,31.692065704112924,31.53741738409491,35.150400426055896,33.41235609284555,32.55454576310128,35.71321916784481,33.65437135713016,31.456465769286662,30.91197558201548,31.970542817287217,28.857774726027614,31.70949175844555,29.127638654930127,33.69521773041325,31.618055845043095,31.119500651580303,32.99450173365761,31.140440163079205,33.91589676234604,33.40048925417798,35.80838903719214,35.709520852741505,36.446527890411105,35.50011439195515,39.60626513985718,41.284981342167924,39.07435222003251,42.75858986201802,44.495227151576195,42.74417325131501,38.78611118090362,39.46987128950214,36.765538006846924,39.97199019909202,40.54631211979461,40.63341237376726,41.565568250598744,38.5376042930042,44.05488485120952,44.05866773728347,45.77227129754516,44.6209837580619,42.24018173571396,46.94776260805724,49.27138396478661,46.197245810738195,47.58157549551076,45.36362499007434,50.0173645336454,47.5906952774647,50.407561936860404,51.004327833427475,48.715726308145925,48.85006483971704,47.173468589246674,47.83478821146232,48.32936745825502,43.95312546636686,45.267255434511725,42.99079090980245,41.29388425763082,44.65138105171421,42.92304177201191,39.025378790863186,40.40836405070405,43.08847121890904,38.87033196287463,35.65969804479339,40.163135087609255,41.79311153784245,35.78460404334927,36.83618162044253,39.82860453179784,36.68578599990892,33.753290936105635,37.7322765194325,37.509149566482414,42.669149062133656,42.514778228803436,43.150157585268026,46.332682663994845,50.95510037705755,54.122619218795585,56.20981561473172,56.53151090442279,55.59115820790419,57.77604942809839,54.791247164442034,58.658643037257264,57.87136821759146,51.66564865466814,53.78751226188148,57.11275809225374,53.20079418967371,50.69671986141362,53.55771889251356,53.83261072286287,49.653458367402266,48.092151760975916,45.72252261816366,47.645348383546306,50.962612526608844,50.1237197717334,51.77290504511967,54.01020601945043,50.52929022696139,47.53610558795111,49.57985225087691,49.53224454993383,44.612466432030544,44.55000544844826,46.268067567513846,43.85225221521869,41.54833827288616,46.22004669403351,45.87506424209898,41.20637400787378,43.4194267819795,47.40916294957326,46.82693579457699,49.7420973816835,48.78668866625266,52.589337317504864,51.103052814243554,45.69799170164442,49.17566151090674,50.809618313528674,47.58453934845691,46.03933120474679,51.86175816827131,50.41592242122931,45.16567793451211,47.45604860560426,51.923392222750614,49.57947747822017,45.67100780958326,40.99255287491798,44.23164104210318,40.08690113231522,41.350663485364244,36.09410900749729,36.560340433256236,32.54576218835599,31.386222315248347,32.93396672036781,35.54987513037689,35.686445140099735,38.17404501341257,34.47891782114986,37.590482954973595,33.57995564697028,33.914170589870636,36.12359622393837,38.26887761103621,36.027280033779505,32.360345064791424,33.91907008767985,32.5893937199969,28.285720594676167,28.724391936405652,31.016590085097782,28.97057490669538,27.023174305540532,28.392459900756947,29.25480484306584],[26.72893069709636,26.066959927167552,26.707000480202105,21.707192588715273,25.80718999347752,23.230879708444853,23.23674902061565,26.2686077176139,22.616263480189144,22.17079169459716,23.02644833170579,26.732504879449635,26.852477343377508,22.65706940182269,26.905433737498704,29.66906214646928,28.161541493896557,31.055982535983844,31.84524623037129,35.861911021944486,37.809683405034896,42.073127701798285,41.831164429735345,40.845607304340504,39.47637760191624,35.08877223656998,34.70502111091041,31.32781525372384,32.52967954038894,33.237463249193844,33.85880714496198,35.53774721308805,38.166602612852294,41.02423122059304,39.84533128980133,37.67706845989963,38.4662416778962,38.26361257174839,38.370085979106236,44.59921785171618,40.68824140140349,40.4752157621642,45.002453658625114,45.66405662505843,47.051904328662616,47.578632187963336,51.49049014170589,50.04844844708146,47.616361261485594,52.86019376206886,54.126203591484035,55.144099004743325,55.16363519711974,50.26526363987182,53.45574454377866,55.69820360261884,51.52155565715061,50.0610999871334,54.53128884936032,54.46240784327923,49.52044412393744,49.797933329693194,47.44726441490061,47.81176657968302,46.42282636824017,43.422328674504165,38.87199984950845,36.322242378567985,32.23706975902344,29.96785694477471,28.12061803390166,28.75941808931019,31.9869228459714,35.652085424645215,36.608909105387234,42.77075662332988,43.00000519962762,46.03557357644547,46.075051057644274,47.94496168212892,47.06013100040962,47.32390572881207,46.69542676956388,47.22422817139016,43.90949945272992,42.087770911309484,42.444525081929925,43.51783325229202,41.48510086853946,44.06431553543239,40.53246174310438,42.0353124688433,38.77732128504086,37.50786094315565,33.20600469275681,32.366684317405536,28.46682769274453,33.283068440554295,32.039089144893275,35.044036857765505,36.742209483921556,38.05084675331554,39.188104202694966,39.16775406243284,42.88182078472628,38.955224571840105,42.30894308641304,41.70573854098461,38.07796096083382,37.26086446773075,32.86335105029588,31.696108369600847,27.443445942241485,27.009445535983094,25.0197016564596,24.507443191176577,26.424814406453162,26.188094468444486,28.465410902539578,27.42160924611003,23.918415373391763,22.176335162365138,20.636345192753346,20.844792032133476,21.03364497036801,25.08640994171317,26.744932342680734,29.946583005612197,33.422225411234876,37.71453579965016,37.35798485354505,41.91875484983916,42.04919585953548,42.75110877712639,38.4212711205233,34.32281228884635,33.20621341041169,29.748854791261977,26.816237266313337,29.10739955444019,28.52352576437547,32.48005079703193,31.40790083748484,30.56668585730375,34.111983657683616,32.63989299080701,30.185637199072055,30.196427123144613,31.24331605831913,28.566537450339922,31.555638263878638,29.794115002822387,34.62080652755844,33.28930082298936,33.019416498766056,34.328763978849906,32.071266750157875,34.26464959335022,33.66955452196216,35.24174213556432,34.415579138668384,35.55595098454247,33.6827226361003,38.04969624318856,38.93662170944825,36.10096790803304,39.768588882384144,41.04525584578355,39.14959198183344,35.32197498308008,36.35302728344813,34.044188376718566,37.80936858485223,38.90752075915136,39.53938280613023,40.93558278325963,38.37118314383046,43.98254338415452,43.37191215849305,44.95896765358078,43.098995148324896,40.85526924741283,45.08618885981153,47.110255112660056,43.9569619943712,45.59476710944897,43.64386164851697,47.96575317833808,45.051103017110144,47.80525769372524,48.10197358849771,46.020830142785286,45.841745309314675,44.13197370089908,44.779438386635896,45.09336578305524,40.677214423677825,42.27798511279577,40.01330405933163,38.88433097501133,42.24163835446894,41.07458217115684,37.03774059064175,37.93204246130588,41.02224822503347,37.17627140643515,33.27730463480257,37.903219033906836,40.284453884076086,34.22333634932622,34.911467635012336,38.237122770975134,35.6389855408464,32.242874249774374,35.99396739489578,35.265971336568285,40.75946814831203,39.588555088774584,40.54812241912769,44.02684990895811,48.40115299164491,51.73179538106966,53.64227951962333,54.288042306172734,53.2210991515653,55.49197525653325,52.65845044637649,56.22048448848456,55.178369008920086,49.03085202275044,51.20090723392758,54.10485334576533,50.03223223403786,47.65211129393853,50.438005309072025,50.255398497960954,46.07157445335374,44.675873156961174,42.66287923892962,45.09502710910015,48.50020282723713,48.0518251334969,50.02923011585673,52.62164353188454,49.303233496668255,46.038682819564755,48.18691229581672,48.663319471823044,43.67315253251868,43.29693340858536,45.5083725987363,43.388805924919794,40.65425654745918,45.26354934861224,45.382286330288736,40.785021590008164,42.43386541694599,46.391148811582084,45.38449073367698,48.24719173259375,47.19027684353689,50.69518661384061,49.15901592576102,43.63760214766185,46.899864086708845,48.277445137527124,45.013023678768185,43.247763962427285,48.89400455432695,47.244749068648936,41.92431829181422,44.078900024204344,48.382709103094996,45.89983165035269,41.95202606307272,37.37212760847932,40.221597441398806,36.093196685071895,37.887330276179064,32.73763327280524,33.651276722583546,30.090658797877172,28.203973644458245,29.546516903089895,31.72583299628305,31.970051704621316,34.97734839519209,31.68699978622738,34.920726478748314,31.17007047794221,32.174126579166185,34.84965897898377,37.28636325310126,35.588722381473715,31.37376885151822,33.12047013458018,32.54366115427039,27.887281101335336,27.779489371221178,30.71022890359521,29.447315828538656,27.813135118791973,29.543330097727473,30.624924422721175],[25.27820861283237,25.103115883521237,26.70215813366941,22.11471282896338,27.185902882240292,24.90292874823211,25.878074547303875,29.139412924192726,25.983540106637072,26.366601089014768,27.518912568804886,30.89781604365643,31.402113517225118,27.583088843770376,32.018659940912144,34.666160118781825,33.256543432157294,36.455733378517465,37.39501346650725,41.26527749958863,43.34212021823764,47.504810278193176,47.3241821196776,46.18690518138495,44.72236302359536,40.40133386884025,39.819498053315314,36.39814183790985,37.65309253105459,38.138653285649184,39.16817768058901,40.384120673156474,43.087001524747556,46.21851086571321,44.94530788407127,42.90098627089691,43.32357554092029,43.27473664314621,43.19842124160657,49.296131525624936,45.446897732927965,45.62834764398473,50.15454616416949,50.61298736614048,51.98962300627313,52.25264978616425,56.270181304902664,54.95444897857825,52.225157815063845,57.364000265685185,58.82663482267403,59.718312124471396,59.93921403664325,54.988664538264246,58.35192431470148,60.7411660016791,56.6212110563679,55.25299906223316,59.807605222455535,59.74385544322241,54.91798449872571,55.36224254702123,53.02585379683993,53.52164967155026,52.011434838163105,48.93391622390738,44.56130517583269,41.95282272119633,37.98672560179835,35.682617817834846,33.93360103562069,34.649341958977324,37.80530588754038,41.50125346452702,42.3040395596933,48.50501839407667,48.60593852038861,51.57482797270254,51.49024922724416,53.276508982406426,52.12614344075538,52.198518505003584,51.270536578027226,51.621898366720096,48.3501462523322,46.76479184469829,47.48289005402812,48.48095830554853,46.800057281666014,49.3811452610228,46.00421884054243,47.622168924441965,44.25818798448519,42.77059700162406,38.37812792719945,37.50966706145588,33.52503397896654,38.026485208592355,36.425714529544024,38.846471188786204,41.02533007381771,41.70744673961132,43.30358511360183,42.6652834695325,46.31728910067023,42.000889312297154,44.89342582222486,44.09644754347991,40.145373948924224,39.69065838824648,35.15133913360116,34.719338107824186,30.67384784154478,30.63715260742882,29.37464374325706,28.93754659570655,31.330832630417447,31.02792809683028,33.842588654880586,32.82467978926792,29.31216429648544,27.32874376616015,25.39065141475277,25.13189642643521,24.71558942029475,28.30712167007379,29.1858651647696,32.592226475615554,35.806047489255896,40.440669327748815,39.47188735136302,44.020988228022766,44.50527897106277,45.5842112733674,41.21715709318844,37.35058599127568,35.51972342130371,32.730030917283614,30.180069948283403,32.96266104138009,32.60308972391255,36.88607386975459,36.15102666504007,35.07356456979025,38.7397840043588,37.33583425376263,34.66008551485603,34.50679170560833,35.09601416185136,32.23274290870137,34.66046693495738,32.915972354454155,37.479582869435625,35.81594638589466,36.23588033843229,37.81316897289923,35.90102208252985,37.77836268551544,37.75752840464192,38.80763053492619,38.195684203115384,39.92263633178861,37.82765444412699,42.3470912448594,42.824775429161626,39.68820503783247,43.01464205424732,44.07308914748014,41.75924778668613,38.20213750903177,39.25796098275794,37.39356518923475,41.43291918030066,42.69864605931511,43.58075165230095,44.893919433862926,42.6732602589152,48.19604907796612,47.62269290271122,48.91572054369787,46.950596522753465,44.29047788854574,48.37659225308809,50.37758194011337,47.36660061770858,49.518280528601004,47.944844619056084,52.15096068902013,49.12461485098021,51.58324591077504,51.54171663948081,49.427377473670006,48.77660969138671,46.78304597887417,47.114002332155785,46.95837617322033,42.404047343081274,43.780640233353395,41.062982887360235,40.265857080740034,43.05812837920833,42.1289319606604,38.180431912340964,38.35199194250318,41.306141877368965,37.622328811183884,33.24945600369458,37.52963983508179,40.125285451094186,33.911979974008595,34.03936028158346,37.228876948912024,34.937531255039886,31.022233141604783,34.28198476206379,33.65250021836043,39.064733844689115,37.80354158454987,39.31937320207442,42.69872166711623,47.180703354819116,50.17239077252898,52.4136399815288,53.57244223337783,52.87582468140991,55.48818571114812,53.10980990712843,56.65798441809014,55.15707625791241,49.23291848525806,51.82336369167568,54.4541132627541,50.114511647435236,48.15428241355581,51.25497486192695,50.476702661510735,46.16966975790687,45.606124566072516,43.276855947465315,46.430822873271865,49.63187624804393,48.94361543196455,51.321088021135225,53.67401375372445,50.82958962791578,47.45242032965096,48.986638367620884,49.73190710495936,44.91597994272503,43.93607535865906,46.011888880954686,43.97573293588073,40.912075953632126,45.18000646241152,45.28064044332788,40.5870657080551,41.80673244133758,45.67371584204399,44.69331088864327,47.88022704022314,47.28006800579615,50.609012506601,48.52769591658566,43.238881383446085,46.82512228212268,47.67590883649967,44.23078773525716,42.97918254678436,48.42384853667704,46.19963984318703,41.09833166591144,43.7547418267338,47.63306103716926,44.66582343613516,40.840613087576656,36.21303217795459,38.5607862486119,34.18455637150896,35.81717805814615,30.948700313134175,32.507444793506174,29.133259980959764,26.741446818741608,28.608302907547184,30.69782210050314,31.632409126912794,34.88752689832726,32.39141048745766,36.11136086573363,32.87587874693066,33.15472475217175,36.31968519072858,38.43871709978293,37.31567596249695,32.83918831546118,33.79789933357268,33.603182259811895,29.519801289214772,28.169729716154535,30.888499791144426,30.054641396150263,28.749737187101086,30.74436831632559,32.09572036115908],[22.572643903312866,21.771651059250463,22.61592716383235,17.816061563408862,22.57876649157925,21.063020558205377,21.958218870012047,25.659144184079118,22.99985837818545,23.21313944325158,24.97362711689553,28.47306567785942,28.30020641180565,24.775341358021663,29.60570058360398,31.913565469566624,30.060205750697474,33.49342906972556,34.36795867999951,37.9875148732742,40.191553309106624,44.13826959492292,44.08561022561695,42.77210456897307,41.09033521093928,36.890152464025064,36.0643539518289,32.694449909507966,34.25212917629452,34.857442283416844,36.67915057247284,37.570987124457375,40.68690362062585,43.80170034914991,42.08496674084334,39.84186213568024,39.977419340238924,39.62431606544041,39.2376979814073,45.14947958933329,41.26427306174184,41.88578918839593,46.394360545829585,46.574133563492076,47.90376341142814,47.92253218469953,52.023844026959786,50.83892962995554,47.85721094481292,52.88567001404164,54.54828546525712,55.38079939115048,55.81003805321358,50.87549950645323,54.48914625792048,56.89321817966565,52.787631733783144,51.659453770443776,56.31246883468914,56.11600587088382,51.492147781355804,52.324019957450716,50.172258438505075,50.78454691278405,48.944815357492985,45.80836372417484,41.807352592044786,39.26733805576439,35.51534472923866,33.47852317236621,31.82871358605377,33.09257693352858,36.05673714939899,39.47683150402479,40.08283027617785,46.42550603265211,45.97622481964049,49.09906011663551,48.613920104148946,50.06084131860142,48.72045683978458,48.407732446979175,47.452550656690384,47.48187364336391,44.11987690980016,42.87608380415061,43.860628270363975,45.109716433240024,43.69467770263309,46.71358396101589,43.568717528448374,45.64956825078071,42.36182501051509,40.85059070736371,36.289608890043276,35.93465339706632,31.75513790164471,35.859164650198124,34.05681094937981,36.55671154803412,38.20957661312118,38.53242441327303,39.85208485031005,38.89423212897445,42.13740319181756,37.713353576322476,40.520265144057895,39.45045991896349,35.54049390506678,35.38361296809837,30.838758919852186,30.33104347476129,26.554893144660646,26.254992673695007,25.468193320334116,24.76565018616334,27.50569296199319,27.017478780770972,30.48367676121354,29.64500357752676,26.123445442363977,24.004121919302257,21.45633447518802,20.978363368088893,20.503451774264935,23.60384592849175,24.721681011000896,27.885137262451885,31.043198350152668,35.705841768170494,34.46331133292512,39.06155245410608,39.42911483034716,40.7286225530156,36.1913266733109,32.42690706343355,30.345098100693452,27.666031939600774,25.215582442163484,28.21746625508743,27.99081410088616,32.47951483527492,31.985751338915136,30.732250545535944,34.50039935084051,33.33066261345159,30.50698774414351,30.554582167983,31.051338408231743,28.500939694714443,30.98420545537498,29.85081938440543,34.546145908740506,33.58570698885948,34.01344343124797,35.07753793111708,32.88726137325531,34.33888171464873,34.26783232994835,34.77162321959178,33.79907727917344,35.806080498803084,33.312907275285255,37.92007225564156,38.044402402252906,34.73506251166843,37.934090564617605,38.91092242519996,36.49973377164329,33.01352796066066,34.106762891404095,32.41678798946885,36.62903584028158,38.09878473315994,39.24769142545472,40.76251273631708,38.86877388958582,44.36383553325602,43.47775787525826,44.64744441965806,42.36751647862446,39.746446716933185,43.581860145423974,45.45853550594563,42.45707839695193,44.78463782583679,43.426610191576,47.49064793790452,44.40006388546533,46.689496128331,46.50387540582287,44.416202301061396,43.615248466246285,41.5892232074411,41.90738444593045,41.72848754579738,37.18621835678478,38.68427741069773,36.08279436409028,35.47363845923811,38.40577711978921,37.71995005737607,33.700377242837405,33.832238495324184,37.05376832948522,33.57275300380754,29.008567405498777,33.478979722585294,36.439744153883574,30.340042533986356,30.501520180055916,33.965326565549525,31.936266621811843,28.03199469778661,31.38296284448231,30.33634943270123,35.97924753045971,34.12959468984807,35.49356736084726,39.092218715450926,43.34019855188094,46.619878663177715,48.552323468422095,49.61224694485806,48.6596120490347,51.1572423577433,48.682543655776925,52.063270545248486,50.62110223923623,44.655254545692046,47.105429392553965,49.63282425202423,45.33411861450886,43.281296347626,46.24999180612473,45.4932396638299,41.229369185006554,40.476151851472245,38.37492653441067,41.542042607483424,44.823111619990044,44.413281031217856,46.83550642352468,49.46256350957211,46.581596823991035,43.097275993334996,44.89060252113166,45.87129358026425,40.9894686342634,40.033895517832875,42.48463689253369,40.64724384851731,37.45455669912658,41.79355401171165,42.24350277560512,37.7121998793813,38.71908378362049,42.57307319291915,41.28374587654062,44.24039338721236,43.35975724305225,46.562234441031435,44.727870871814616,39.28124970573374,42.566940401225374,43.5156981704972,40.15361511243087,38.54095784706688,43.970523853526,41.93723120944087,36.702781532794674,39.06136170527358,43.059953635140616,40.286191570402984,36.3815021055938,31.826363082844736,34.30366565400148,30.08673482592889,32.04963717299324,27.073241079281885,28.49709016925597,25.347425740726287,22.799067169310103,24.24860238723451,26.16783843800809,26.832429156785754,30.207932583676378,27.655833002420795,31.269237578650333,28.088346656137333,28.940396846330955,32.208349193359645,34.591341880184885,33.67594923060865,28.979783300640424,30.333294173057162,30.555921382452954,26.10770288734964,24.84477936182481,28.091201013520436,27.716251454500608,26.567577717249677,28.68295608532177,30.113863651246636],[24.99210450684199,24.11653698779641,24.92799242660757,20.376399775008128,25.074131521197344,24.497456984685897,25.506038981314333,29.483143250243312,27.151351439861646,27.154661422881723,29.1199393326516,32.7320955995206,32.11676833962523,28.597121659676983,33.49702151051438,35.69708337563011,33.434817684737254,36.70866446868153,37.06191137665902,40.72520213280364,42.64978025368278,46.461961786165205,46.151801724582384,44.50084952815536,43.05957869101361,39.0349664396027,38.43868011204948,35.3671408249445,37.35965457388494,38.31366229831573,40.35706848461878,41.3878860239064,44.666032753770025,47.5957113005463,45.698994855825035,43.19180199900719,43.392309052733374,42.52918655278866,41.84904220136128,47.573299480892274,43.35347533923859,44.236619518428704,48.730421329580004,48.67877279756457,49.67807470447921,49.444460625263886,53.57010225051604,52.762379573126175,49.68851698988011,54.5490455127379,56.55276666873528,57.5158647187643,58.15200516244266,53.329312411263736,57.18690491819781,59.38124909537107,55.16300637074573,54.367218970401794,59.01868743215044,58.473845009161955,53.9430022791763,55.06008387831874,53.157522078203485,53.45992785191244,51.4546456139468,48.5466342906487,44.515824168044624,42.312171796067396,38.40283574745664,36.7637571867043,34.884382053948535,36.09282492748948,39.308933393163976,42.443446876098015,43.386901034967295,49.72019217724001,49.139403291615004,52.49552058957702,51.87758320545322,53.09219600372778,51.882654095621994,51.275018032188036,50.54543444938671,50.26323991745974,46.7118133973012,45.81334550289186,46.77246206627853,48.40646111679068,46.87760986440648,50.25773528795552,47.090318895555605,49.24122743057865,46.11493432483387,44.79389137925179,40.251678331932226,40.047918939994446,35.88575218037213,40.017207950212445,38.26413779755277,40.879118976251625,42.228124285805,42.440236099520966,43.50310398615033,42.38308046059089,45.211314379458976,40.714870105098186,43.35276773881781,41.90967442910994,38.02587386028253,38.31851974645862,33.79759466801458,33.29330263992583,29.858901661035006,29.183662931666507,28.684112374865,27.49431708488154,30.23469167843068,29.15290961639047,32.76294682431386,32.529162178601,28.96186230822413,27.14903074694671,24.09335729516209,23.8947396572264,23.714993903479822,26.179573638222035,27.64967647688509,30.443661538470277,33.43474657804628,38.118224198361034,36.29830751142435,40.93389105091524,41.09019647342835,42.87929260983526,38.0001220481375,34.48651505215731,31.82616466002358,29.356850501841617,26.8786752534484,30.09317008907914,29.283392445847944,33.77765008408424,33.85585221990165,32.82001034045542,36.74773353577945,36.06447506724928,33.232754707615406,33.71395408447554,34.28771000660386,32.0930931432754,34.61971289630865,33.88520466011926,38.58736820534528,37.8867364304725,38.38385254887332,39.243184611135305,36.90676359391192,38.112423740942695,37.92852786115919,38.04252578149578,36.58768166309261,38.68144223449482,35.61171573345753,40.25154527600729,39.78423234637261,36.00914056182465,39.189239831330696,39.65149123674102,37.2183412109763,33.95338233549786,35.406972857950585,34.11052539639376,38.66243868408864,40.50385404700296,41.98463600763566,43.802442046615695,42.156128148541605,47.632850800423746,46.362919936098535,47.49459753226219,44.75538560075966,42.36959208140483,45.77036620902008,47.35687278285862,44.319721373544105,46.703759882074976,45.48412249765189,49.19429723333297,45.696571236100716,47.99954980796325,47.5994794143705,45.79212987284974,44.77697460251319,42.80011288021868,43.12323620057689,42.774814322602374,38.29574340157202,40.032317850194616,37.46410973464027,37.41305802404704,40.197293102403016,40.002697077040274,35.998048608545695,35.61826531276596,39.05385683016844,35.97135100623515,30.933125641940272,35.26719370446364,38.75356376320978,32.75374556754401,32.49262434591189,36.04442900662892,34.51553050745138,30.27897092320196,33.18648341331113,31.83583381789024,37.54246395852225,34.874018472901795,36.691351307889356,40.41809129961216,44.421855419639364,47.64882993432205,49.53682441222224,51.00016584396658,50.055591703263204,52.668305612081085,50.438890761673896,53.52520786744993,51.797291580017124,46.02110262908253,48.5482196602111,50.617346085295324,46.184205148738485,44.361084820128625,47.253289446422464,45.96301908082228,41.742942223957265,41.307269711016936,39.55947306635383,43.211933998230585,46.48117754956993,46.36338592888575,49.04531632952751,51.85400470988975,49.185670923365464,45.56172455118272,47.30982685337505,48.65652053385423,43.84292542467064,42.60975331999815,45.294104980324086,43.67643404981126,40.2334741706018,44.36578232781548,45.072888948170906,40.642820196166774,41.18879155884226,44.922452614489025,43.393474528662374,46.35027827979028,45.52666236443542,48.420824130613276,46.44005521381499,41.07301255622064,44.205705030575686,44.79657052111387,41.413644449204746,39.78457779783578,44.90140220557761,42.55059192628291,37.41950365778695,39.73090291844565,43.3791564207766,40.36014737104301,36.52692056482024,32.17068757029137,33.96136320588832,29.759114949039933,32.202464354727226,27.608305183363175,29.66092157537077,27.100380799741927,23.830712504132855,25.187632549755087,26.511504541414443,27.486379157474538,31.346651868951238,29.436672732954225,33.092944205364496,30.307228536233456,31.554932561166993,35.092967756824,37.55040819830746,37.047573351601116,32.150187637850046,33.4445438418527,34.11860677070185,29.7218360371572,28.02031853329851,31.431401944553993,31.502441080222987,30.55513457981402,32.76121689313407,34.24561823490671],[22.219983422845548,21.265721597245076,22.196002542838514,18.075003184518543,23.004255037416257,23.082072826974947,24.62913051386209,28.794816910754793,27.11662578811133,27.575957288853964,29.936633560019565,33.29005595757436,32.64990552472314,29.631851603319113,34.71931245265731,36.63988983735396,34.35345593828034,37.94405078682956,38.528449400798536,41.86393730917075,44.025714983884484,47.62862797218767,47.54149876083324,45.81735955245081,44.10101695176213,40.202892700280636,39.244876509644875,36.14221088453324,38.17227825383973,38.92433078019402,41.6083152323042,42.08834988156666,45.5736801264704,48.69491232056308,46.53820144321859,44.10564690152356,43.8589455157484,43.081909275757894,42.18066007920387,47.658168455010625,43.63470303975069,44.98883566137393,49.41558877502451,49.11106287754853,50.174129288724096,49.67125106330691,53.87125727378958,53.12161935672762,49.72712119285388,54.431471207002005,56.58251517212917,57.355028782465794,58.20906470834421,53.36824921789328,57.3998885703811,59.76070801517421,55.672537761309805,54.99620753516037,59.7281706856769,59.22571820047397,54.920186938577075,56.29805673456701,54.45398026978584,55.03005403426525,52.802710050697556,49.75150204470652,46.132799587539544,43.83904062077893,40.24246807479346,38.618688619809305,36.96415063750911,38.540279404025924,41.47650990654993,44.539356052767246,45.135512944095225,51.52948964820876,50.56946874691086,53.86998088234998,52.96417803395703,53.969995968508236,52.422525217576414,51.53073580378692,50.51114308728654,49.9863817037528,46.51664595572267,45.917787522212876,47.295709781172604,48.89496981029793,47.82957716787767,51.333864367811664,48.45140962011146,50.92172905794414,47.7450039188075,46.22204425756138,41.56677106283512,41.602485403552755,37.325357178735075,40.96422636621018,38.883584611417454,41.10350425099591,42.49076344055821,42.0892892178741,43.33116904987137,41.64513078468634,44.21621462564779,39.470086055118976,41.7040503097896,40.04668885742021,36.02653388441518,36.68575053752102,32.17647299209641,32.16877886385692,29.101140889618623,28.651823654995532,28.892593171623165,27.779345203970443,30.94880906624822,29.941446386301784,34.15439524406637,33.836912854884865,30.369841610812248,28.288523312859773,24.927263032333617,24.221259286801367,23.53676881716785,25.371377359040707,26.27867694277525,29.018064925074366,31.707993919810693,36.53785928703149,34.240308738587714,38.7932597554069,39.19329590952548,41.26434149506369,36.42765908966203,33.1895914862307,30.01911332446543,28.19525904584472,26.201036700573802,29.743378414308985,29.409031948521697,34.134662742305146,34.41895534724005,33.05745312967744,36.981752506820875,36.357142631201256,33.3564242497428,33.710445091569795,33.87388671789109,31.7298145093017,33.824961733242894,33.42371478073031,37.91311658073019,37.4098638065771,38.31766643164462,39.05681827692675,36.85718480283239,37.61878571949921,37.82008580326375,37.327189250081034,35.950710666621156,38.56976667090897,35.3285064209881,40.01840175968094,39.20186214112988,35.313897729363084,38.065479403024064,38.44679427101886,35.661135920686405,32.68408395430276,34.03801148699041,33.13684836238301,37.80100766475295,39.75703444338446,41.4720722829035,43.244021989026734,42.010521220727746,47.324211820088124,46.00574563485979,46.83925800176586,43.989371771410106,41.299786255508884,44.481916334590416,46.02345529337489,43.16157388349793,45.99884188972606,45.18245175784298,48.770886879290856,45.33098666335405,47.25026298932299,46.56457833358127,44.68521648979234,43.27687914488002,41.06893270566025,41.12315078487565,40.43414735303842,35.91941156738691,37.46974385372448,34.66304802775795,34.8904321009236,37.3163712172622,37.38287441426529,33.47726306405332,32.616611441374516,36.03872255572671,33.22149941001618,27.886719722770007,32.01153268980671,35.77699991123019,29.87520543641237,29.28352100945729,32.849616821700465,31.709400919120892,27.26529246577353,29.853770715913853,28.31461197599979,34.022382818955855,30.985636880033578,33.01847389992851,36.76600100883672,40.670718770067204,43.86014367201668,45.74064045253019,47.415466647912005,46.5686179577219,49.30533340480838,47.314204216261416,50.30572413058639,48.35365750436649,42.72822098529777,45.430911884909044,47.30226910624212,42.761658239916535,41.16689927726523,44.194316874829504,42.592633636053876,38.3384864016098,38.364838121442354,36.475114338351744,40.53955936816387,43.66430784697746,43.50064391493757,46.422413526639055,49.17415282991181,46.81468891808941,43.11654095927282,44.58052280302838,46.19586650539084,41.521604551357676,39.94318116567006,42.710029016908685,41.2795060899719,37.6193567595284,41.521056448973276,42.41203913862611,38.093788041054005,38.244606384075944,41.86445544669843,40.188048074571924,43.17119278382372,42.4770277242473,45.17284950427156,43.02113466494073,37.765687729762845,40.904979450103625,41.23270406838178,37.81656848391068,36.33568792497881,41.287084152961484,38.7221976298669,33.694002518311024,36.160658224030215,39.59948530515537,36.42013882450167,32.64470243126528,28.320039385571516,29.909411791919357,25.659466695382932,28.13567541003117,23.69557449799942,26.043653572285624,23.814692259392405,20.1841473783121,21.60375374482231,22.751615969443435,24.03871482205786,28.027406829959403,26.66579020329398,30.51321992807546,28.181107930878625,29.17273562201312,32.99069939331363,35.32540411868869,35.31076323054437,30.26055936096295,31.238653245783073,32.37734383157416,28.276341828109192,25.901142770043712,29.381072286863034,29.99990726908827,29.374844563333504,31.742455959066472,33.38346399758448],[21.560815727689654,19.94996714482228,19.817896862595497,15.502720950767868,19.650734125804753,20.469133563319325,21.641082853497522,26.013963271928205,24.694135222270308,24.80166800442076,27.49630080353187,30.909422663753315,29.66028423564828,26.89363218242712,32.08025229691763,33.71570594480221,31.098857635520208,34.716533555478186,35.186825733456246,38.30125054457459,40.495714125688465,43.90812470823529,43.903299048988714,42.091312908414906,40.246890552666414,36.483193485863154,35.39271889787058,32.40677111007874,34.65190937386317,35.55142237945837,38.700168974515016,39.044789821977304,42.764845782653246,45.757828179632675,43.32386989178382,40.73824943102919,40.36676758355422,39.30522190553611,38.199207711113786,43.50745190001364,39.46099182947931,41.067159976225646,45.43829803625761,44.97431856590652,46.00499917257501,45.38210669023233,49.6087573441864,48.919122428426085,45.41622897241174,50.053723838832276,52.29114395555901,53.047216825785426,54.000248617696954,49.208480617378584,53.36828936832841,55.68642481850419,51.617539984289586,51.105746852640145,55.85794980857215,55.25696535845404,51.099195073916455,52.715946392744286,51.0242521685613,51.64746897255004,49.22325303188153,46.179550740254115,42.84532126185745,40.65604879739431,37.25540635896251,35.88751946306381,34.320025212297374,36.23478770739455,38.98792676424364,41.78273683692133,42.2651393427881,48.66240967925881,47.34105765926592,50.73592277923054,49.576503309649894,50.33947951949694,48.733692076020205,47.59766775195812,46.648367481773974,45.919727404143465,42.380273541195514,42.008634133386074,43.488639790713684,45.29453717858071,44.3509404917857,48.146579468239366,45.4311524156192,48.17427642216496,45.12385563535598,43.66290949256209,38.99125232321531,39.39716350928732,35.10037826305534,38.44979143381118,36.35329326784444,38.73848674200476,39.58637396134118,39.08507762532103,39.96389609405703,38.21162993553317,40.43144977819613,35.74908664304507,38.02927961396247,36.19966667361211,32.33653240088894,33.15335758674486,28.72891385336453,28.44052536472969,25.63490169495406,24.827004219848988,25.346354004461478,23.974187011365398,27.267441945118073,26.10008634121017,30.6682100364194,30.52190467674492,27.152693250088387,25.0980669352524,21.372947636964167,20.60421282416935,20.046292743265184,21.377394536724033,22.737616774647808,25.115797413410373,27.796163722333674,32.52293824495504,30.143853591157068,34.74458137262151,34.91678080733938,37.083699173428556,32.09728389302506,28.909630413149213,25.675599463192604,23.786894277485246,21.80523869435774,25.422500336140182,25.132061578822373,29.9237114033656,30.362321284301288,28.9280084400905,32.8678968644916,32.45580974235127,29.430298227022227,30.014831892188813,30.214387144130946,28.445941916805864,30.693908513594117,30.801191470620825,35.377583574356855,35.49618202375043,36.20899641077619,36.48342909351178,34.01989998492923,34.508178424639,34.51090619182838,33.70180601457725,31.952611634748095,34.630496013509315,31.11484585547995,35.79876871411795,34.76827855475122,30.804051711297145,33.529408901127056,33.88653122352462,31.126483699136415,28.131060100633512,29.533422653170724,28.69314877365521,33.43814195810354,35.53108159612541,37.40376331624444,39.36006809606093,38.31957326072683,43.5806843891455,42.00459141442603,42.813489934196284,39.73822751893893,37.2214440652571,40.20796567172124,41.641347778249546,38.74692037158308,41.5794493754061,40.84444545921277,44.33055804702394,40.85820076222977,42.722012190599884,42.0122448805049,40.158908368886465,38.76273253780017,36.61271188766619,36.75764150663889,36.196471335875295,31.725005080845445,33.48272646744146,30.93298027352928,31.239620500999823,33.978515875826105,34.18597425177569,30.20585670585573,29.54729838980364,33.244151365744706,30.56933648695841,25.268635549195842,29.65081467717871,33.616980506973235,27.930246544103543,27.57679453885331,31.36809565533329,30.334165794308433,26.17361855197978,28.971491062968788,27.090566288521998,32.932453017827854,29.504612029635716,31.164908899602583,35.10092850770616,38.75568301119862,42.297090062509504,43.794111804545615,45.18685947031229,44.00360720652456,46.5162051448038,44.28805758997639,47.14539080118107,45.40801842150075,39.66395483630261,42.09977314718532,43.98225805195546,39.56386286970433,37.73430204693493,40.53690351046322,39.16268721677466,34.9825454055853,34.534067070382356,32.97097488595226,36.81317519143645,40.0788653285734,40.23789023577977,43.05565139617706,46.10429058043487,43.56404670472293,39.82744555555878,41.704147500301595,43.40898512513102,38.649913364448885,37.30060965031236,40.39306801941469,39.097309678733176,35.4793535389651,39.52547241232648,40.67740907586448,36.5516105754961,36.696842847514375,40.31111326581311,38.40555699359053,41.07341460549618,39.99686879295942,42.646538356276984,40.89850472702664,35.45513977024532,38.21439306121355,38.81775146616514,35.551604889868734,33.572529207211375,38.578029964135645,36.403996538986064,31.183805631711063,33.185823964460845,36.89757294831597,34.079092499075564,30.188720848113586,25.96003338754008,27.869816368316688,23.90301527639883,26.72956363837133,22.129767996747653,24.06249527032484,22.011022598668063,18.492730291783513,19.24340590429576,20.21415447528145,20.94645127364066,24.98581257891569,23.313794473905954,26.881490643141866,24.464283872376736,26.242632896267818,29.959457602077958,32.59807658969613,32.582547124291025,27.496604021724632,29.03762257292588,30.37658678637878,25.901788048699338,24.02238140577113,27.906610627635295,28.714819776647293,28.124212220537984,30.462098318323694,32.023891156822614],[23.297358198929835,21.82004142013415,21.64855624556126,16.824514080175636,20.788746768749657,20.66429204279854,21.24907228507626,25.402051817517588,23.345995165891605,23.017717813986273,25.327620898733375,29.010096983928776,27.837378007321558,24.549726646494396,29.60569474197522,31.53663476586657,28.99660573043298,32.378664403113774,32.75087595006678,36.1934072456947,38.246794361319694,41.91207927311423,41.76211671084542,40.09560096113803,38.439386698379906,34.479214391034134,33.67257182652508,30.61636679183597,32.74385073169717,33.77113046720928,36.28758230223878,37.12888104582304,40.643955046275465,43.505284851455585,41.33928560148831,38.72272861072136,38.76657726102673,37.73233532664487,36.907991051807066,42.53288247537947,38.360145435943586,39.44723021140139,43.910094825137534,43.74574358304899,44.808411807247566,44.51317249407313,48.67331573705229,47.82357096519325,44.64440233483646,49.49494706272769,51.504164625507585,52.411049275257426,53.1017239981843,48.28388422614535,52.22813597763454,54.44674774775564,50.271103628436364,49.5611421685304,54.251210145398524,53.69579559168413,49.28685322617507,50.59544855672786,48.78385415661264,49.230599506900646,47.03970489111887,44.05832707164247,40.32867737838581,38.13068457127511,34.45072153256354,32.975843962281324,31.239320031305255,32.86977246763313,35.834168037120556,38.76872551425799,39.49340560871003,45.87445523524528,44.9189849881423,48.330658511553246,47.462159304961325,48.47719773146265,47.15685631225728,46.361119115775516,45.63725695110723,45.218802964454326,41.63630751470616,40.88099121850062,41.964833855073806,43.7229546853993,42.35680519752663,45.97596593587952,42.98729874088277,45.43979158618699,42.390541164698725,41.072368848816026,36.473930502983514,36.646504404250976,32.421492135795525,36.24185607040473,34.435992742006434,37.20043468982118,38.05957598527448,38.180315603041656,38.93681849371928,37.77826293421188,40.361473983561716,35.93686035473208,38.670909532388954,37.15386821071158,33.41836095555392,33.74537315156835,29.293848907620227,28.492499550463293,25.20361612423899,24.241501701012222,23.922020348848918,22.564406130254326,25.4645582028857,24.353800535349478,28.352522751032726,28.141420699038875,24.63916465004665,22.74473758491644,19.36422670216468,19.046298872211334,18.95666031181486,21.150109631130412,23.030964312750562,25.57692362664677,28.624149486653298,33.20147536750314,31.47151520705865,36.142515173181906,36.12894603325982,37.874344003878285,32.935397901626104,29.386379237593623,26.850002237695012,24.20871940179741,21.694730491363863,24.929360480910113,24.298258308579577,28.896621371832023,28.9696653778263,27.79522657998556,31.73159902565658,31.132339406135106,28.25389257198185,28.869163621396012,29.472964533835754,27.561859518342718,30.25629007923503,29.949079208232718,34.75806231900104,34.64886387797275,34.94067031727142,35.35958579380839,32.77101978511654,33.75297599044562,33.39159777304343,33.27873307188054,31.55986307173464,33.695997160032725,30.48084464207456,35.13148861249635,34.611992310651196,30.880243034753455,34.06313527667185,34.65093123793848,32.26035594649627,28.89931763995753,30.302317130599153,28.933061747075055,33.48373312545266,35.36639731136772,36.922307049902436,38.85669057531758,37.33987176516902,42.788687942359104,41.3481153160595,42.46603245562291,39.61100352269776,37.33275077691225,40.6611545483517,42.22041244043363,39.15472945385785,41.51971649771406,40.3401131552951,44.05530970640172,40.62272201474535,42.87582722460157,42.51352191188232,40.649527162128095,39.710914002894356,37.78105092116907,38.19598307853695,38.025120164872725,33.58862681964515,35.45406797589087,33.1331272870514,33.0004048735679,36.12417655654433,35.93514513547821,31.857778156532152,31.813110018447556,35.447945363543234,32.40338291359472,27.527406704371945,32.13216897773119,35.677622688419454,29.85978443468549,29.924307583838196,33.67055951220455,32.13316739147021,28.231549878725176,31.439913851117186,29.833832758824297,35.653899124374526,32.815504932135056,34.175345748913784,38.04420653109539,41.86851631889544,45.45221669183965,46.973601843891544,48.066569510877734,46.80407293424019,49.17175742342485,46.65683550387084,49.684593205054014,48.23804204082094,42.30953316112927,44.55737973565631,46.753890019797744,42.48188279453099,40.379119940348325,43.06970574586057,42.144559327898065,37.99668424710461,37.02340680582086,35.49481871500269,38.79089932139749,42.19298915161908,42.31034807685914,44.823667503235505,47.87354690575934,44.980009214301475,41.35587865185329,43.51371959849104,44.861195785608516,39.94819767080043,39.00536508768597,41.95205096363779,40.41778414401501,37.07065492588879,41.388408280176726,42.29560499025416,38.03044992773807,38.66871771622816,42.42367865635494,40.72520855954892,43.37855902624592,42.17459952898422,45.095468016750104,43.537152342890096,37.97736697100493,40.78315426755741,41.72385460964478,38.49208042185104,36.4034661721245,41.640065505266946,39.74251780066353,34.41925546108501,36.30549138530871,40.290357450165544,37.678423159665655,33.73300814449714,29.426714167356074,31.68672560693597,27.745179691548568,30.363916066969576,25.533569033832343,27.046556625945495,24.500780625893732,21.521774789965118,22.307253422232886,23.63677221110733,24.01792573871361,27.762759832278466,25.378674982974385,28.74102921516868,25.750946533342663,27.662359102151086,31.029950657326133,33.76991548272588,33.16330364157514,28.272418918163396,30.139761810187398,30.91245534082238,26.11639873950302,25.00322442817295,28.784916304610626,28.967469391537634,28.012129281846015,30.18220970824124,31.581348855201668],[21.218427909885744,19.247975235898604,18.174094368026157,13.170465105347773,16.368054601718118,16.45447053965037,16.694802448411696,20.959808525126785,19.254261589382647,18.842374565347967,21.51455937900728,25.092083787073268,23.595682911419797,20.72369904192796,25.909766728805913,27.542086060886906,24.94097511270613,28.588123588447292,29.295978023506173,32.40563959558089,34.76533163970488,38.29682054283321,38.466685795370665,36.93349699347436,34.90735080653805,30.97171006895322,29.759501234195806,26.566122282625898,28.60984906598279,29.470237036397368,32.497438508876684,32.936915353623235,36.638416317520665,39.57345853940079,37.18744096915431,34.62610065702191,34.3641264537592,33.44728185639562,32.56977360243954,38.1346878209753,34.222388936977595,35.49652668863154,39.91874692122836,39.70399762671893,40.99198252522888,40.695427452366545,44.88559471735462,43.83815826617795,40.53184690014511,45.40409278668274,47.29302461678382,48.048580306559,48.75156251638611,43.87742682024954,47.820514958184205,50.20683551009349,46.15333090818864,45.38769804370299,50.132392381073466,49.741370125311306,45.453891818675295,46.85872290594986,45.02793824105837,45.80579327882879,43.48542440451368,40.306887907423,36.97205493552193,34.6090377892387,31.316336414497876,29.81451006647492,28.39310028455399,30.488695100766137,33.01791464984223,35.86919243200945,36.15500253787208,42.56265422707721,41.25643390003917,44.58328565603885,43.48779700509885,44.384062206245254,42.814273210545004,41.91280745498242,41.00277070368787,40.54474898575138,37.03906803484425,36.33086672960649,37.66005619510231,39.335367809743715,38.29759874998929,41.98468988125425,39.2462712033463,41.99999839803824,38.94282109723286,37.48965910302534,32.82550605248712,33.323857367664196,29.040418077849672,32.39614947915835,30.43204003970626,33.144972167435725,33.7203705438623,33.625193662882566,34.284753107712405,32.99334761088786,35.48516189628374,31.06968106075978,33.86473158926085,32.396306611520316,28.733686353079772,28.977565885954782,24.567150579046466,23.62201881953753,20.40446496158184,19.410941212281145,19.388405155563,18.142132580453072,21.359568260982357,20.563920775504172,25.02774552240601,24.511873972424215,21.1611363060903,18.956620741272104,15.421976683097338,14.61140933411557,14.253246621109572,16.286028002178362,18.247509014146495,20.733834803616368,23.852483217143007,28.38749708494693,26.889907562541055,31.56335727604932,31.57383697366535,33.12086205058119,28.29630927833925,24.647124878114056,22.37288747565768,19.633428982742718,17.250065909394646,20.5197058877429,20.554730461084333,25.30189972283804,25.14030098881567,23.613278119071495,27.476087704804392,26.725541845141738,23.7442094774944,24.226386433319938,24.68693145401983,22.886012351026228,25.592924536434836,25.608485311247083,30.43797765450348,30.799799637521165,30.997540973399424,31.07803343863149,28.374296225645818,29.126216853924873,28.773985971538966,28.44616625490497,26.73670585329546,29.044724906102807,25.920597836170625,30.596217369972486,30.219755711064174,26.731506216093006,29.797072791961554,30.739181827602476,28.295556467468398,24.81518648057047,25.949666867083128,24.418564812406863,28.844690687192642,30.619397625995106,32.15607741703553,34.038139172344444,32.641001036463464,38.036522862091275,36.611481498267295,37.65129995165267,34.876816009757974,32.47664791089243,35.90405649434381,37.57430904928503,34.54600560123562,37.00658792045837,35.91221107974768,39.77022346784109,36.62043584661979,38.703843432756514,38.39395288928098,36.32622968175133,35.443024791061646,33.46021780872535,33.87669172157423,33.84860882054126,29.397979440225967,31.209939405597392,29.02905391107168,28.617295354216946,32.018214785603874,31.667843793943764,27.546359533654265,27.928010131125692,31.616352455398214,28.49928520543526,23.95310499544788,28.768612749350428,32.16400770847143,26.536364088738107,26.995309487129877,30.821052344039792,29.169298907302316,25.7129682951388,29.228021759308458,27.531895104295113,33.331973375307896,30.673625212015235,31.48684843018757,35.377459771379854,39.11125483076451,42.94200762171282,44.203499068980236,44.87645309681078,43.38222951108249,45.52317148219522,42.73082637738341,45.816331243195,44.674298800889176,38.593213580848214,40.612359437265155,43.07211461013118,38.98299907289129,36.605373336387636,39.196040821227065,38.74960083083284,34.650402469008746,33.19045181471813,31.642458892904127,34.49550058651915,37.97951387392063,38.143946862899305,40.45310999314304,43.60392586231085,40.505614112769116,36.92351785600419,39.376124174801696,40.62552817011873,35.638965499070295,34.983654484391316,38.0599935695417,36.55190659941403,33.355966867570984,37.84251716080795,38.84272717567567,34.727646760146165,35.5373275752291,39.308523194270684,37.55453644092007,39.95000081600235,38.444390538784404,41.4676379266338,40.283882891193,34.589328341680165,37.180068419861826,38.503340658179305,35.418894596692766,33.00749254850101,38.41866497008763,36.992850708542086,31.53926598042393,33.118416351481606,37.461341117739316,35.27391397753239,31.265892665470723,26.9763373498765,29.855464715236053,26.182037768713528,28.668853659508155,23.61928046998132,24.41138389696958,21.73198738926085,19.354021625306174,19.662227205480274,21.22026282491637,20.97530266361212,24.343033855418692,21.349551078750444,24.454539165380744,21.185431881677715,23.473834646431737,26.62136736519381,29.550409133179258,28.80529521449479,23.97108175173073,26.30915058304961,27.092974890087312,22.009858985806723,21.49280177280395,25.5198067786996,25.74724085304119,24.801909455488214,26.912407748194543,28.229324067952284],[18.291802232990683,16.808284650012176,16.591859021208496,11.474389788193939,15.644984430490009,13.946543880724471,14.669570221175562,18.5331867597845,16.34608367475271,16.839085778405117,19.164822030845798,22.42356102566372,22.056291352724987,19.22447089175957,24.309494205116838,26.19350470642629,24.430452643727318,28.368321750184048,29.90800041853212,32.98551066041041,35.71388258196862,39.45062588147604,39.9227053942299,38.83556634232548,36.575418346043186,32.42380969466299,30.93231165981256,27.305160876665532,28.597260532036046,28.78137431823618,31.393678493246213,31.526841259556576,34.913358977157905,38.264382799781856,36.23244514206812,34.174167787885864,33.74728463999942,33.75753872995373,33.336759263381786,39.129728434380084,35.74894745139075,36.66219871504196,41.084417933672405,41.18509728354061,42.886936285899296,42.883188061880496,47.01465635751372,45.52056245882314,42.324400168359965,47.34570734044043,48.813811015055634,49.3640458138875,49.82086154152601,44.79342190671659,48.38729553211294,51.10101049710295,47.230658961964,45.987307609298185,50.72217204076242,50.8319636805535,46.41972345788258,47.37951727067322,45.16117386997474,46.352313815001615,44.32434291258505,40.84689782033344,37.48466603496521,34.62168321941742,31.508393158633357,29.325386004510992,28.21843202637963,30.19954707748875,32.45224194950743,35.81646661436181,35.66377630441712,42.06479909520102,41.081053521267954,44.014712804567125,43.18491429257124,44.47979249165951,42.679239470487,42.23340109562889,40.875885640468496,40.87933622133194,37.712928699160706,36.512307692736194,37.94677843617516,38.95194393863641,38.141654980285566,41.177355008602824,38.44859553423686,41.002713818894875,37.63756584085555,35.820379590001544,31.105671287151658,31.20637433051528,26.868702446166,30.20578291540969,28.03173528233641,30.289564249582604,31.73511618828364,31.590920075509754,32.97882801190249,31.69881865242373,34.92097581160241,30.431783685584083,33.23517186060277,32.30016932699498,28.407501297011418,28.084630232817386,23.547768966057294,23.08914684213622,19.32604041647693,19.344234900655948,19.05597598885066,18.809278749890066,22.04972826844563,22.21349195487786,26.315096982171763,24.87823871128736,21.61479662298702,18.90077326301243,16.35941057651505,14.95057258796516,13.68874816034086,16.779705424128025,17.444644058952363,20.776186708656994,23.972648083819966,28.626232761714697,27.736241684459873,32.26382686733844,32.83361332135698,33.804227815029876,29.585960190135417,25.736128703217787,24.04678213565569,21.467811972649937,19.42773673713157,22.413151529981228,23.32745881652298,27.96637185811395,27.087602226769732,25.257100412704553,28.831471230229706,27.318993996067576,24.33306521837628,23.957033409685184,24.071575069501858,21.451411712003907,23.764055142164413,22.944735742814213,27.656383027574957,27.253675791879946,27.714829953816597,28.39620328925906,26.153854399233555,27.26755137173283,27.423691897967434,27.607227421288503,26.913993888817128,29.282343393084712,27.098354699976337,31.700469859524922,32.08762124871895,29.22904039104346,32.110748338694364,33.62157284846454,31.073627883345083,27.533058247452843,28.135070681003455,26.27165586137235,30.190634640024996,31.41393111265115,32.4860988972901,33.79459172538465,32.09835010465271,37.48315114568716,36.74173988681808,37.72069262139799,35.6767752084605,32.71434562903899,36.74579565138272,38.83346925766876,35.96741246063474,38.52907408609067,37.37017877185224,41.646718279305894,39.050467804495554,40.998181436486554,40.847845553918816,38.428436184992506,37.6351432035286,35.47064097741523,35.692494330499265,35.620617816710805,31.068009031744783,32.33171882743291,29.805043003057357,28.738857708834136,31.92036533820768,30.934249948477113,26.88036100843365,27.564743676716198,30.762574302056894,27.104853433021837,23.015674072262037,27.745656959407423,30.429535954168617,24.50817412914864,25.22948625770135,28.796862042120168,26.54923019587812,23.235329320586658,27.07877332839106,25.944723282683896,31.5675398422909,30.074484203352707,30.676894609480627,34.27746499295637,38.45892874361877,42.053639607348785,43.66774253216235,44.15332065902939,42.93590853063179,45.158153951107636,42.342129710570326,45.853432795022044,44.79868659230255,38.64334901307844,40.847262226918474,43.76594783428504,39.705358123337895,37.33126094578739,40.238583515351046,40.11999863111338,35.91199637195883,34.64280235594753,32.35233310500895,34.951903859694674,38.27468396371323,37.801773388395354,39.96873016666063,42.6423389057358,39.5350496144943,36.11875336518334,38.192858719212886,39.01917798474159,34.04347073648511,33.421665291981064,35.99462846913101,34.16285191924628,31.14993262176813,35.73206861656899,36.28400129869034,31.910005350641082,33.17265194622138,37.07582754629908,35.73283094710689,38.38154082479838,37.14121808404114,40.51599125536566,39.13892832316163,33.518624287841575,36.59909571781507,38.05112966554159,34.86670227923989,32.91278255049133,38.59560156117762,37.17231276583523,31.789556837279644,33.83671257568577,38.29363963805235,36.06487519630898,32.09528880083164,27.53038335021563,30.880327973757275,26.996919521254195,28.67361594659426,23.363550148649797,23.76633576152686,20.30753570943635,18.680163129755776,19.61368179897174,21.975531119876322,21.900155698276624,24.65596376599376,21.31595076003053,24.68708799139546,21.17466627501843,22.126592490469363,25.140960751177538,27.69459427485655,26.600802998847655,21.935604648834605,23.796854303845766,24.01488585284053,19.180459070650027,18.593137152007998,22.203531737929822,21.90888299688596,20.77983461849511,22.90855621062875,24.313822235143096],[19.240974785609847,17.448850897435257,16.249734677827618,11.20644090717044,13.796858290957196,11.385674682130274,10.95259491407555,14.590761502687954,12.083128138688593,12.133624630183341,14.57888366699952,17.92880742614006,17.32054425658121,14.596977597707893,19.722412714397567,21.4967330721582,19.835536556753244,23.90446919996893,25.824408708460247,28.717011502531815,31.669805088724576,35.40247626359192,36.11672764108588,35.30046891954392,32.814243292653536,28.61737552376862,26.892022442924258,23.086860921132082,24.080181005581075,24.093066838917235,26.772359740374917,26.7933725576676,30.222956111539776,33.57709181177317,31.51480322184849,29.535429309465464,29.06495530054196,29.297610203248755,29.067356394024547,34.96355023456245,31.846738631488957,32.5587308580668,36.94684845704823,37.21479679640548,39.16091951565237,39.382444914821626,43.44435285782671,41.65376638094452,38.58868094740153,43.71657100354587,44.893366675051574,45.38171391685503,45.665050946888364,40.59674621412762,44.00746943296003,46.81313480531224,43.0262824500513,41.58599371667855,46.30461937867576,46.62352969695839,42.1947782606469,43.026446379685055,40.70629145918615,42.1296411899393,40.148964109150306,36.52386120417285,33.33942731987248,30.286136967997592,27.455463190133138,25.13305134108362,24.315467327638757,26.583778087066023,28.442206807293942,31.80648650104354,31.315908851054026,37.70111978336661,36.60943139291747,39.43685333834998,38.5789884931124,39.93289919803005,38.06646053131034,37.77074163804479,36.36394650683729,36.56878984172982,33.499504396388275,32.054001624746874,33.461623733830656,34.29709620671624,33.55830404347533,36.49964127738571,33.858231395864415,36.52276718046209,33.147416289691265,31.268387957283853,26.53090919543917,26.821521467174758,22.464411963166192,25.607772582098477,23.456989514244956,25.956708126666467,27.102873419135182,27.206127791108965,28.413247900227475,27.46148732151326,30.875392761567554,26.642027806391535,29.82299672494454,29.20541404437455,25.56879537337994,24.756325688750337,20.349314032428378,19.33626155469225,15.245821159424864,15.260403889594285,14.539554578326703,14.697768564012101,17.886555013969893,18.63671647565991,22.625706056447136,20.702829456139938,17.624627539686838,14.630204642112302,12.57721695784821,10.803053445800142,9.374171106469035,13.245275172062025,14.20659359614161,17.563009551042416,21.011419318182064,25.361784639895756,25.2576801484984,29.695081548087977,30.16078957880372,30.589796838421158,26.659790779443046,22.556945903354542,21.78043984706951,18.72477345488409,16.631316351717654,19.11486068335195,20.57014780958225,24.98409052472851,23.562917982498423,21.56411222997264,24.907835855550765,23.029159151189635,20.104144855088276,19.470091006990526,19.705149040530817,17.017873956856274,19.695790623350952,18.855998479338417,23.77971971386303,23.756466391859153,23.73573978774062,24.13506499361596,21.66214670828781,22.940933963289364,22.83615715172915,23.386427940716224,22.83699831395799,24.93974681327722,23.23891189368341,27.728852262875375,28.680312960450877,26.36678736191186,29.328685820577423,31.308832209776117,29.02632803248243,25.280436976391865,25.558317889781794,23.209984367216443,26.68084851353878,27.563621999315316,28.32520422075321,29.5064835784565,27.570111239060232,33.00770429801351,32.42220239416202,33.53215863711468,31.795321541181952,28.8928006959908,33.24156637399338,35.5093833308518,32.619056683734506,34.91438549388929,33.55146293490651,38.08035237813539,35.85566130838475,37.851127130309386,37.98219645136049,35.397694383156306,34.97712356785162,32.95157568783374,33.341732921223006,33.66188047180837,29.250065227764246,30.488711459027915,28.32896651015326,26.717652368936715,30.34807200499075,28.955658636730483,24.908482955212925,26.438853556867066,29.552708418188104,25.690303157234126,22.41388501842389,27.29269405753657,29.48425453286115,23.891040842967953,25.25578481134934,28.747721955560202,26.15829203529469,23.615345170763895,27.826659622365366,26.778528169464092,32.18042372483431,31.143917119751205,31.080258523191777,34.57930475937003,38.64992264886057,42.44723792127199,43.783624778836916,43.70576155192891,42.225349723682235,44.10509444622168,40.883768440256155,44.48999156587952,43.91355731924851,37.61096034093001,39.42912178021056,42.722959182508106,38.9922559063096,36.245492060660354,38.91833514491159,39.49818969277856,35.451928668212304,33.4510912621835,31.245338872902455,32.99606282752578,36.41995875297519,35.989693271517595,37.71350482796949,40.4645674989296,36.94464984869415,33.70074059532973,36.246926197310046,36.721107472785256,31.635671409616407,31.621746485604113,34.192022496074465,32.25939867628138,29.662156396225612,34.50689946896378,34.996299130000075,30.78348296330844,32.51311937566696,36.43296341217157,35.174200018579825,37.49195493017344,35.879504025410625,39.45437671997534,38.59533411719841,32.890944067161406,35.696910653013894,37.685495376640844,34.73745964857544,32.44081719933346,38.274870989215046,37.47019158768341,32.04577655137043,33.66354325434711,38.48116013880379,36.787707154096154,32.83289916097589,28.41412497019632,32.30205156051567,28.790137106898328,30.285605048915066,24.919291655842706,24.472483831541915,20.838563101788417,20.15522950903761,20.58019099697703,23.117290145675565,22.319001232641636,24.42462001408032,20.215010866458172,22.997279062763813,18.930300560117903,20.293267009265563,22.657516612347806,25.422728615764033,23.71640719120833,19.423179322164724,22.02923408519578,21.786432078588565,16.47043674468049,17.356723524707093,20.983320986591366,20.246787674817906,18.85885268172974,20.692293513275715,21.81748695324564],[15.325611587748332,13.8944129447061,13.524073634200901,8.87414400914282,12.565113846176311,8.848648530664164,9.86306827467754,13.159104726072343,11.080792108100681,12.885151903277714,15.208661506914865,17.699874046759117,18.279215252187257,16.33149165202383,21.1666967761305,22.824284895100515,21.944448476237817,26.309048069809993,28.90389163729033,31.452434650436665,34.73556249805503,38.378250276417695,39.41124914342361,38.8173907381707,36.06698715590348,31.926051745906175,29.82109280421715,25.8394831800452,26.28816114755904,25.580466470978028,28.37209639554507,27.645688937089236,30.88603987916685,34.6946350591654,32.76432159028663,31.309627321081653,30.329919339079872,31.36069540500009,31.279829064389357,37.013321012431994,34.46975513640491,35.299308155632204,39.55517528790985,39.83357094343296,42.05643213573673,42.24681126770616,46.28344811935147,44.28374499662302,41.078372552620536,46.11963742448274,47.12590208514072,47.32272952257509,47.6067042835426,42.47225153504149,45.73049752621592,48.87396780632642,45.35655036809075,43.69176933438878,48.406979039195775,49.101542134984996,44.805179613665324,45.50342711939536,42.98314999957387,44.85823004630409,42.96031546327639,39.097698788340026,36.238860262396194,32.856610116936615,30.440305177241143,27.72558934251969,27.300398573134522,29.588965332028508,31.049161076397297,34.64855566059722,33.636198647044644,39.909629721290095,38.82649966849002,41.2614929006586,40.41119091668084,41.886244207370744,39.60557477250314,39.428163486297684,37.443678121765245,37.79642422449732,35.09922584860173,33.57059408704893,35.3889865753359,35.66089166877405,35.49597198162321,37.96113358199661,35.60067621764307,38.27753484458609,34.686554528697485,32.38689484195109,27.64971393269114,27.75604877945519,23.419617044838326,25.99028709514077,23.37731039080352,24.936716211105356,26.986676783705338,26.40811214840738,28.47942337634167,26.970212474774833,30.74716470888922,26.238034399736037,28.99091807736895,28.63703127333672,24.67674384138974,23.7206693830046,19.22974897428561,19.27233718530554,15.220860687684107,16.47445564916919,16.43926930854412,17.42558173708201,20.81090610810762,22.141716402216797,26.179373106290804,23.728401084625904,20.95662057558883,17.650923096656815,16.161510190622213,13.73538145277758,11.142000865294733,14.711085424885734,13.71353513174755,17.722662393048722,20.84224785917405,25.39610553830353,25.31966943372187,29.529124508980203,30.664191557186903,30.906554019815278,27.52897803463259,23.609120055151553,22.764030245061168,20.530571368092865,19.201873754705094,21.752365355571257,24.019648870060685,28.447728035446058,26.861066436522194,24.49581422728259,27.54793190618965,25.26606299105104,22.29841207560126,20.892035417698143,20.3666728475781,17.048963274554275,18.713539450806405,17.372278910155302,21.874923121308385,21.22210632672829,21.96637809030745,22.884930543988094,21.099901078212337,22.22680227069645,23.050165963636704,23.409924314189478,23.846390849270094,26.46643393744011,25.344970711985162,29.714399919371566,30.84914446826889,28.85888029253959,31.290400123373633,33.522986891984644,30.89351714368588,27.406096233978086,27.262196584031887,25.110157220043924,28.274594602495313,28.846034262655046,29.458892029673112,30.10605251802094,28.357321222203492,33.53253291291511,33.473023066856726,34.23894002658812,32.99653228630559,29.398165382474684,33.97024625622873,36.4928461055336,33.907716661711,36.655073955208834,35.61564566488407,40.2600930605195,38.4558785782437,40.03277823190693,40.02412029321181,37.174524838524405,36.47376924692283,34.13519571569641,34.14428280235539,34.12677068140013,29.62323844623353,30.268595102779692,27.62652648839588,25.712318712002602,28.8216299370648,27.087444745735045,23.19257072619417,24.5809401090559,27.23417447478026,23.07810157843342,20.01181989422383,24.644629928704294,26.381826348689653,20.574720806695627,21.983570930387646,25.242053964810104,22.352720214468047,19.851163609929994,24.179189125696578,23.52523609383523,28.725745535813537,28.503958015666303,28.351978803255093,31.5927219247602,35.96718785334419,39.51734516239713,41.15308413019535,41.06844425945253,39.89746298229159,41.94462314831388,38.897422089316784,42.78919626950777,42.10267472472996,35.864918674041206,37.98231537840916,41.48905485130065,37.70299314465762,35.1478287732383,38.1837619258824,38.76904403391993,34.625124276972166,33.151431238461484,30.23791015117879,32.125662265541635,35.282564806911175,34.26465265779783,36.0764735424442,38.356583690222806,35.10099963878188,31.93354323625649,33.8836649658696,34.20927222299474,29.240080452949,28.944116319867526,31.12395046330465,29.032458595506785,26.404020252856643,31.178740252005444,31.400358250952277,27.004154212515708,28.866809147224252,32.83856809381847,31.83980028175373,34.40816817486402,33.13352747320606,36.871714247438476,35.710812682916924,30.15324777517616,33.39725199214347,35.30018357505144,32.25223511214981,30.461521138207416,36.3889599235142,35.4443852052242,30.181125926848583,32.28163840737707,37.02185152160869,35.20615259840996,31.35342524699995,26.78307353117672,30.913107165549754,27.294984645810413,28.107433610015512,22.69645415395388,22.001774328914024,17.906036110365097,17.822777405665462,18.74170806654011,21.809500259775017,21.31187905508217,22.942263954891395,18.884584277935733,22.052920468299227,18.244726879631244,18.043182152888438,20.554153116835863,22.834567550305362,21.258143376116838,16.94490017238909,18.754900072941435,18.359705398039484,13.55243954874648,13.693293529390864,17.012388701745234,16.21328891043103,14.925693417614964,17.009743926599807,18.447473181256694],[17.529401787881284,16.537044868117867,16.21868352378326,12.449046253996196,14.845242314023817,9.497101582898152,9.480911211695119,11.105498326877852,7.732562388419326,10.202650991374508,11.586500277942438,13.615417175149506,15.438788318897018,13.631474714368974,17.848494368169362,19.71399043604569,19.815118042836954,24.1200047437234,27.40876193776778,29.845754179968452,33.32826708460979,37.09606959897094,38.36662542378455,38.26924239859309,35.41931216548673,31.193087670069865,28.994366962753677,24.806075149355124,24.424569878625064,23.133134457742802,25.180122918365456,24.350822669977983,27.134911066854794,31.16767647713494,29.69030726137419,28.734553263975442,27.82163358589787,29.6852728285571,30.172383842742114,36.05157996521083,34.01624749826699,34.25306515127048,38.40032222819604,39.09095063647404,41.650379530240514,42.26047274906216,46.10969371802404,43.667117525951085,40.81187353205539,45.97252158317827,46.456906874606744,46.55768930521759,46.47395728786786,41.31365846321604,44.07657233975393,47.38544323448842,44.04942267022315,41.90686105318632,46.491185117103996,47.638257300903255,43.22259167920796,43.403230625169144,40.55115900869349,42.73532776535514,41.20167579642929,37.170738803641825,34.30948542454296,30.55654090611102,28.430204788864845,25.172584143042116,25.143952416167433,27.29852124688177,28.309664714625182,32.23663238625083,30.804951387098264,36.89443424735605,36.170284619381704,38.19911286990687,37.67879786403267,39.5633024275932,37.257650909222306,37.656697441376735,35.482318008280366,36.41544475516295,34.06745985802347,31.926093035540568,33.56062218170761,33.20214838975768,33.063272076616656,34.821302273047394,32.454120824965095,34.854634371605066,31.077750005747678,28.531857224281392,23.89087491807169,23.640205291603156,19.408189091234078,21.932018327921284,19.327344241587106,20.736928384709778,23.425926273747507,23.333250763179286,25.8141660530105,24.91091586255067,29.42761175741917,25.367041871748135,28.448545648222275,28.81960870567341,25.15050302140084,23.31225213763368,19.167971646246187,18.972968603996105,14.473226184465862,16.381075792385193,15.452896621134682,17.37748079241502,20.175902001142372,22.361345316531644,25.579380485694852,22.34358458287818,19.944211053931458,16.513457653323364,16.445452928406425,14.028974085336523,11.402388479550098,15.816631072357398,14.444638350902025,18.565613563623625,21.71852275919838,25.74990180138866,26.762719404794247,30.64145898651383,31.88987336997377,31.320419115013618,28.630956612209225,24.558003670308565,24.833665070970103,22.316245158940777,21.028041045609566,22.80517460036438,25.447500824320244,29.387394802639516,27.086324980363546,24.719878651996634,27.2762640611666,24.33058065990089,21.686537745446103,19.58140443140122,19.07953056984772,15.16742876695546,16.76917196026597,14.279902602204304,18.747291862231084,17.413956196366048,17.771476788833564,19.21829145659985,17.76496729832828,19.63060648810993,20.526597419611317,21.951629224300316,23.270124036739283,25.344720782732075,25.35567626098585,29.352838082813236,31.41533204482836,30.20892932982884,32.6751467411034,35.4024957769209,33.092124531686586,29.491006493622642,28.971097921512598,26.323222970657646,28.70739966422162,28.628650725268837,28.570588012992594,28.686049049954068,26.3927425002078,31.493817317498287,32.101885705936205,33.02488503104573,32.59749239691529,28.93340673757405,34.03863815877169,36.87340375841764,34.38077340204794,36.74104326099086,35.39025501445394,40.373135356506005,39.12692500834773,40.777918027646045,41.13720151073317,38.10419781533096,37.849609270181,35.660564876270634,35.77082431368485,36.08591932149482,31.792662571639156,32.185065261026644,29.77807174220625,27.165065983487928,30.386046711637505,27.96657527842732,24.326259027077665,26.531005909214453,28.670471439213436,24.158297838649588,22.277737705952458,26.666818534723514,27.402400581082063,21.951937948257115,23.962739289698888,26.76773492083965,23.24182637272584,21.6341953856346,26.201556383835264,26.069603193312226,30.747390924466178,31.584871296013155,30.919469526467417,33.78618645033076,38.24993099819893,41.68672604603468,43.340137440246636,42.75006815050409,41.590688830830146,43.389517226125605,40.07196966184422,44.22019840287435,43.96509071604986,37.71328858157571,39.58528404644355,43.55165284623014,40.09866313586124,37.333967018657596,40.270037811065244,41.50073196098842,37.51036189954038,35.63094685470145,32.54372547778778,33.56767499655833,36.6304745921108,35.29452628864442,36.575312006361955,38.53419081460491,34.9646269631783,32.17644380771073,34.21713825010409,33.865803830693935,28.951347768600286,29.267867956676753,30.928507565621043,28.49999521689839,26.539922063388033,31.453318490391855,31.192926472773983,26.829344304560813,29.462716171182027,33.43007255583684,32.878779681932876,35.313351379989626,33.98228115581393,38.03380443670895,37.16039752512725,31.769228383659843,35.02897898236271,37.34988879348799,34.49294920534264,32.79710331065709,38.806480721007766,38.28985904700428,33.18765485012504,35.17829054963108,40.08439696845008,38.607739524355175,34.87516022628945,30.4071488181264,34.87584078591774,31.44151929793928,31.798581723309738,26.460323839694215,25.16054422289478,20.78163200358937,21.647463092963783,22.544513011517655,25.842539037103222,25.06043795136672,25.972414524583332,21.410878551987363,24.043432859746254,19.922876319267225,19.169857509783842,20.735369645181144,22.733119293183726,20.223951701777743,16.847855068632395,18.757664081082815,17.178966766139865,12.567219721011776,14.310130137435324,16.72806238834708,14.694896905365972,12.793939891883584,14.342151799344602,15.452592992219344],[14.303581400329854,13.558078706463988,13.717276873291313,10.911858687597716,13.559834317061494,7.637875577482101,9.121284519410798,10.335514462534354,8.46415769357221,12.25668335555645,13.836076994486348,14.848256408122761,17.18315723796014,16.368659142956695,20.297794479970865,21.751820406877844,22.172694101810514,26.671508058790963,30.27507524153784,32.30143197342673,36.00730169864223,39.54837988437089,41.071283445551096,41.01348139167895,37.92518028470041,33.86070614714138,31.315872523433676,27.128687329445167,26.562045686196694,24.82078877920336,27.35891810821046,25.73891833440784,28.498092259430738,32.811182348940655,31.24204425753885,30.629598454475595,29.14603029243497,31.435678261691287,31.834903014742956,37.39248385252911,35.789878157836064,36.37366085849221,40.36455835949729,40.89984907589182,43.603471338078165,44.040198189742135,47.89394627147816,45.39882830308347,42.314115051935964,47.30582452947646,47.77691893035463,47.613373768057315,47.652471500422756,42.486307879382196,45.249322578777125,48.80941200903452,45.71690393836323,43.55484533399271,48.1441504872843,49.49502507827048,45.32180672122027,45.60148012118717,42.728815559392544,45.26521874337959,43.646864330428194,39.47410372107586,37.06527953514516,33.19938201511605,31.491897232641517,28.20862511082402,28.458738735476068,30.77341247845313,31.45724361537654,35.3226843642185,33.4931642929367,39.441656779518674,38.47968774472684,40.250517352457955,39.54507876723396,41.322021623217,38.608581090659186,38.877741241792364,36.221749906975,37.07587116085971,35.014050169133505,33.04958340178812,35.154755020499934,34.4860873708137,34.968321079469455,36.545455229591475,34.570905416945806,37.14906362962354,33.326987801434825,30.499613584323654,25.940354278545755,25.801091759947155,21.712689166144777,23.366546021728734,20.32069258421093,20.690131886910745,23.915545786861912,22.872511442130644,26.008248365004828,24.347309304487556,28.889434870405463,24.545474365052822,27.083085015468672,27.552381241260097,23.647208179247592,21.86694058114314,17.753917201071022,18.595092497635274,14.543498287473492,17.28444843773168,17.33633754345273,19.55136018048396,22.652657324521595,25.002645871641036,28.576803823255702,25.22779866587984,23.07264449126916,19.52415955440699,19.319628781120848,16.445280773423775,13.144255352217455,16.698607707124836,13.848108466371292,18.216001529209922,20.92076676200017,25.06885354661579,25.923655486187496,29.552216324547604,31.33669529809641,30.74708949519853,28.48311598127292,24.706804598364556,24.756981942186876,23.034521041868555,22.40709033915089,24.363237195010036,27.588298800737725,31.625961490779456,29.4205045889428,26.74043258055173,29.123480495355803,26.0978208357688,23.380739657284344,20.871776477736258,19.64358657819706,15.54573226339414,15.995996217324498,13.474111453750757,17.289815252501597,15.64744153575807,17.008769221041195,18.678422001689423,17.891749746454387,19.204019849595216,21.005848947230863,21.809676832974173,23.773024095598196,26.446265864887874,26.64803617182767,30.54908132715761,32.48639077603109,31.416842229344816,33.360301236647985,36.19243568472929,33.56456328024591,30.259289240088936,29.441744888645815,27.11091500060856,29.335313779915744,29.134317583878776,29.128057943993824,28.89090927790429,27.03188805007253,31.776919186572382,32.65753098070988,33.18024613975062,32.99440721130337,28.772539036578447,33.858321062484116,36.81398085871985,34.61548831037401,37.45215568199853,36.51674214627738,41.45396934710017,40.48050973115294,41.69654248960059,41.84299644549613,38.63746599623147,38.04946571544928,35.59005291944566,35.354911623832244,35.34280713443008,31.031647280703616,30.94249898748292,28.184083583566107,25.418373830553236,28.13687741690176,25.521380054112935,22.08405800250362,24.108903588858674,25.840228047006917,21.195406856401238,19.60490985258229,23.67070902686934,24.02040735395719,18.552762765173156,20.636547743158367,23.198148618257246,19.492434900410874,18.107459744921844,22.70695412584308,22.85531219997262,27.249367790795148,28.696987236294216,27.870853923843928,30.49412820889044,35.092763891782916,38.35481999400699,40.159991086492255,39.538392615861916,38.59350018890906,40.498627811557505,37.349486570720046,41.66407612207304,41.31527943289064,35.175663492121615,37.261240744004326,41.33429069854671,37.87601739946842,35.29249154890482,38.479119376774335,39.69092507860851,35.68242669231711,34.23840692696974,30.649122426690898,31.799095385213032,34.6040268290347,32.836614115160856,34.22220232230748,35.82042071529657,32.54193982553553,29.80074061942954,31.324444957978663,30.936132981082782,26.161930043266615,26.18691551163901,27.577685676534237,25.085684999551468,23.06652506835092,27.88552744476868,27.486382071852358,23.033488911797935,25.71601773279714,29.687513642244415,29.293222607409106,31.860479331841674,30.771628055611284,34.89356835212851,33.827100076516864,28.595283461694958,32.11784797489215,34.36621044845352,31.4927518637625,30.17189238993766,36.16791012939122,35.60396195148132,30.70264922357143,32.979992991069686,37.77918277530418,36.28921049833334,32.70072521945224,28.247259223170882,32.873377783158766,29.517408047739632,29.340316216046052,24.127611942565384,22.51855782730911,17.95868176185574,19.457434857115885,20.555142609516814,24.12127572525091,23.488943833516057,23.924313727513642,19.60502261029274,22.42299559372288,18.702594146706236,16.668201537334056,18.326868308343393,19.862031974879823,17.63958814735523,14.265995537371657,15.391130114406018,13.777693799852042,9.799389264270797,10.816488136451115,12.882600935242403,10.89514416725173,9.202987960900414,11.159866079607866,12.768256628251123],[16.033824719098153,16.071745797737986,17.070679451139775,14.694199105208554,17.478511436974134,11.384281331734826,12.613194342294033,12.728413459897721,10.262679744202,14.150774515213621,14.71143270900895,15.172426147112539,18.671682886493752,17.751641074912477,21.00551698641241,22.739219904425127,23.87893160137169,28.142556154541072,32.02463625347815,34.131116695384016,37.83139584520637,41.515378744755715,43.06730971231727,43.27872503072879,40.2660588254111,36.121044642388526,33.687607329984104,29.441120064043158,28.414495120336106,26.369622934624395,28.05125463202884,26.524113327174273,28.70538030252579,33.15961795980837,32.11393072026781,31.910017260584418,30.597158482822675,33.426835083966914,34.207123572930186,39.846067738607125,38.475222489912504,38.628776803691814,42.55934648669079,43.380297917628695,46.2158823463251,46.904967121278595,50.642120126846145,47.936564388395794,45.10638158659016,50.15652541341977,50.339991399137446,50.14656930745381,49.946221995507145,44.79198983826775,47.19772242130888,50.8280425303277,47.84147259002006,45.36050490461051,49.81650747845282,51.446213721855216,47.158116234497726,47.01472632666335,43.897070749624206,46.53641728747991,45.25049080391911,41.04301922715044,38.465879041067545,34.413971409475074,32.73146552074089,29.072931098981364,29.439877744112497,31.39251488543851,31.965521360327095,36.132254919462035,34.197013791924306,39.93721859123564,39.44852048303905,40.892088378908845,40.564202215065094,42.703878459766294,40.0572834404659,40.785673009740805,38.032690211077295,39.297141324644286,37.47891874341447,35.121378507595146,37.01586061794564,35.89639413202305,36.299131190683674,37.238752094669636,35.184518271607416,37.34703885096227,33.38428487862535,30.40486330602159,26.06279115380261,25.368683697054667,21.534483553140745,23.3028157124352,20.390215252201006,20.32011438278329,24.439433379303104,23.755514301579286,27.35644846089122,26.111010161060644,31.129252623275598,27.09913277238838,29.636495545634883,30.5317751202206,26.76387021018311,24.587413483921537,20.78986709057041,21.69255186168065,17.587577417968852,20.52414441844003,20.012793234132328,22.510087784951597,25.19442844205256,27.80622310054991,30.793862161756547,27.129862995882295,25.09091270594378,21.641055206554835,22.09332427337608,19.489777069471636,16.468830279924756,20.36701386001242,17.49614299226546,21.81210079126687,24.425184719524253,28.304261909849394,29.55155220003668,32.96952095964828,34.8846746181841,33.955552054019655,32.05317763034535,28.269994631909572,28.653568331453126,26.844995096701293,26.122499097316826,27.82245930723626,30.96459205865606,34.80635785835583,32.31623854366862,29.763548645397634,31.946117759991726,28.631032387478655,26.145952996362215,23.367718133303512,22.221796885853916,17.88565414056577,18.08520011169181,14.628092806962954,17.86317139158946,14.940981204654262,16.406430581839302,18.96609068171206,18.817765676050804,20.690999201836064,22.644082955632616,24.16698033468949,26.663784609688868,28.957794080681552,29.735232059531384,33.42499544347521,35.79329683684618,35.00098915455901,37.00502014959185,39.971165585848354,37.45408506073486,34.109212400282786,33.2167214383448,30.724789523778487,32.64259387045151,32.13734625138734,31.758539179043552,31.16804431156999,28.974510822703888,33.559952236003745,34.93303485402747,35.53284251434824,35.85722624915877,31.60971887908513,36.92205857037446,40.01957309086664,37.898214324676715,40.530890993078174,39.41779855374295,44.50003142093745,43.75096422029392,45.04473972142592,45.35247398927339,42.09098335444237,41.67758686906143,39.26861621899673,39.03473725097958,39.075411926023676,34.84565638657367,34.58075967439436,31.793819293252394,28.80760561077324,31.295382097553432,28.36245664216219,25.20262842656239,27.32058320116082,28.605410053008118,23.834657764852174,22.746477091426474,26.42080283073714,26.1237434337678,20.826751149801417,22.94420646218065,25.031467201753202,20.94921499869631,19.872674455333385,24.37009468212592,25.05512096676376,29.017979987223818,31.288806645866412,30.45435616674843,32.7344204447598,37.5179167103602,40.46167788372122,42.52616536693118,41.82511811547535,41.12963518688011,43.0494156628785,39.96773371322201,44.46067960299433,44.17698054824651,38.16148362382378,40.29731238759957,44.536419226316234,41.16588573801947,38.65868235182664,41.91710206906011,43.24660907544234,39.265713461306035,37.94607969184823,34.14747208450927,35.10240034097621,37.73299100229719,35.62571484113979,36.81739363172389,37.992183037246775,34.76934051895554,32.3091051162877,33.50199953573568,32.69004080878024,28.15656593842577,28.286399996604537,29.06327942613068,26.314522719423476,24.699846223366066,29.342729232485954,28.42136957507784,23.89556720116608,27.009909839521796,30.92180955347064,30.9896541780334,33.69715076208132,32.90189200127376,37.16296317995208,35.95964839666375,31.024530525120724,34.78080055021895,37.014309044223054,34.15868914782999,33.225453592248876,39.171392319633476,38.56353970021591,33.86979887794362,36.36353348381488,41.05711902855623,39.508561470834465,36.03032250675551,31.562989066204686,36.152651866778044,32.71374951996186,32.17688548851925,27.076512271924813,25.49197519425453,20.79145539740954,22.503977825452953,23.945292998702264,27.628947196544473,27.205983506519075,27.46354661354848,23.292050955345008,26.049118374540765,22.42242629316019,19.787637727500893,21.05545732779796,22.07749211370347,19.540554948662624,16.93562324930628,17.390369193238005,14.983379236212935,12.170384827770429,13.183618109117399,14.009448435683916,10.968418100332851,8.898069393204944,10.349384468038485,11.862242838292952],[13.481295173498005,14.017633530108407,15.622923979112814,14.670647695654203,17.329315233828158,11.461271490074859,13.736938117847656,13.374607417192554,12.533265796634002,17.058980929619526,17.894890341094747,17.52217317445845,21.193748306391225,21.151702302459917,24.18867688315552,25.46678673382078,26.806614188026412,31.22220174449945,35.35195802012232,37.03545145325449,40.938989749783694,44.36425646282902,46.16991904601678,46.40844992877281,43.15672468530463,39.19647341303269,36.428569482440544,32.2202117539754,31.060199024916027,28.633568420851265,30.84688945974638,28.54015615884814,30.692251037915913,35.355488065083435,34.18918849926819,34.31270545194101,32.42413015985598,35.619800544441475,36.28537540880016,41.533850448352965,40.617730364172445,41.13905933536012,44.88642535756727,45.52720851239024,48.497786140367246,48.996428786438436,52.721043654452465,49.97314520554361,46.91228980040701,51.75064495245339,51.9175957422658,51.437586546916584,51.37685112746817,46.25134147006359,48.64822604986221,52.526581147520425,49.82012973232659,47.34601544258402,51.785085665910685,53.61773263054103,49.61424983716593,49.6014889919302,46.49462806602032,49.48912280885354,48.09618199466819,43.76345346865647,41.681305511302384,37.554759781585425,36.29679416615736,32.679855844644806,33.29949887595155,35.451259738521806,35.70826627712569,39.7533545620078,37.43595562035383,43.00758572134873,42.229858732430905,43.41452855011033,42.864475534003816,44.84981486174818,41.787874116550405,42.352462766286074,39.11734307212553,40.27370039675105,38.78015721343851,36.64496609412672,39.016150007642516,37.6057238945742,38.659045579601795,39.441904181461,37.83116395337197,40.1978394016417,36.243731341760004,33.027265666375364,28.82536232244919,28.32711490018732,24.69655285339738,25.525568883338583,22.246855899767578,21.05915886733062,25.57879732205203,23.853191611966018,28.06303442822527,26.02231605917316,30.93586457357707,26.72758213009942,28.577285834864632,29.59567225322776,25.699965962278334,23.62777941336473,20.093422190588914,22.03883944801336,18.595853875453514,22.14250113474296,22.51536345830797,25.1967638220206,28.141572587177713,30.869313107174342,34.215462628635414,30.488341028096837,28.669705898039965,25.120275281586174,25.39382808629774,22.416075214801456,18.926355828620903,21.98365216850924,17.936057983528396,22.221650000232593,24.25772940720971,28.093301568091263,29.179652590040376,32.214618628626255,34.6779082305035,33.71640784633348,32.33196409620504,28.940674026823128,29.12549477699459,28.129975033129593,28.040676828686628,29.866372894944472,33.52948416863531,37.43512739126284,35.05675346683206,32.22052081745071,34.21936138584335,30.87551670982706,28.350504081089472,25.264736566526686,23.462708289587514,19.1522665795021,18.171252024334034,14.916494093459674,17.058224499229667,13.837488209262485,16.527026457283142,19.19361588729846,19.796072562486955,20.971739338831053,23.798220483725835,24.619986339405134,27.705453402633804,30.5466294041721,31.49067087220896,35.03096907193712,37.24630815419516,36.61358967565049,38.06451446096279,41.11642087321949,38.31434507194314,35.313314059516344,34.124803005777416,31.980574106493673,33.69078595890106,33.06181722723981,32.739390525598516,31.788142756193608,30.103847137966856,34.21781826570985,35.8585467813814,36.01809947607666,36.603454824151356,31.842771894529463,37.04218604236927,40.2301390465955,38.45604298627483,41.55141980751684,40.88184853991747,45.87235700002783,45.42189694114611,46.24991863570959,46.33797210185354,42.9217994725883,42.17190430110504,39.51334902884635,38.91726144624347,38.61638130293135,34.45625729809012,33.65739049836296,30.560083972476132,27.44838101619419,29.265917360922874,26.129385159314705,23.372800885983455,25.242197256044854,25.912985168575947,21.120344433182904,20.5923858068863,23.63476972752123,22.697301672024928,17.650498780009936,19.820861073587245,21.39479890133302,17.08025639284441,16.533869847016707,20.8982903957897,22.041637751023192,25.419432887174995,28.572472405939465,27.50795332106015,29.369467331174828,34.25139519572901,36.91578805783835,39.15186757446671,38.37781391294537,37.97116523686626,39.98046779095111,37.13520756060289,41.789700516204064,41.42503009409664,35.63832608094635,37.98111450852868,42.31626507647347,39.01095621331942,36.74812505153464,40.2353826400631,41.56421719289489,37.640585561615545,36.81534636867138,32.5146514794289,33.53827911154971,35.80449147074165,33.19214736018405,34.45402692596608,35.12682098540541,32.312622967272425,29.99689234929458,30.49685108850706,29.590679694680944,25.366766565682905,25.153248225659773,25.458299178110877,22.63151277019866,21.06904741355261,25.460474786226094,24.27109553028982,19.68215053558663,22.927743526308813,26.775474892671134,27.133025279976245,29.97244611660888,29.526620960049033,33.83365169595712,32.4139266543415,27.813051831994606,31.835833602562634,33.96550810756875,31.16001629005303,30.73656272660851,36.54801521048573,35.92695667355538,31.590563469938118,34.36397956108797,38.853591755165446,37.344121397642525,34.114616012227735,29.784427154380175,34.47299974337779,31.22338401685293,30.02890997077606,25.25093338953041,23.300417300478536,18.59061566329275,21.070716530969317,22.672521743399855,26.51791039048932,26.256117808142708,25.91037095368791,22.179917223597922,24.975827211083747,21.94920680074904,17.95734906153391,19.15672548978674,19.4500588568284,17.353407564172567,15.114216729118631,14.326719994981646,11.785621193810833,10.640570412164713,10.53660842169653,10.168286083215072,6.888790721826093,5.207085495777515,7.187807824055774,9.47060350572507],[18.784299062366298,19.763323650381945,21.542309932958243,20.53060609826675,22.899962322217327,16.798827896283335,18.203019711757523,16.818964106287638,15.159414853932828,19.36724581047468,19.022673227404123,17.960677423050868,22.784066000594876,22.68375868171306,24.70611717872563,26.233148285287925,28.463252589130892,32.46266801209222,36.92412387826917,38.63515288798445,42.50056037200323,46.06336283357536,47.92607897726777,48.56993576788032,45.4225955747671,41.405733037563344,38.794438384045776,34.56116965654388,32.784463565066254,30.009534960939995,31.036163305150318,28.9008444700786,30.194251671715016,34.920099133926826,34.498067922171685,35.179448520125405,33.57779280516356,37.445252073595675,38.64397077366812,43.97055598408673,43.388138735441956,43.2687044704036,46.88497564193186,47.94529272755659,51.10277788827327,51.99820736473452,55.52202191011079,52.45277897417142,49.81148837260219,54.73118287591855,54.44076607401888,53.942836627548445,53.501738339012036,48.437857610385514,50.27810466972533,54.21043217457101,51.67272177780897,48.75261586529097,52.95609173320469,55.181786544546554,51.04554324806342,50.42662860758383,47.007987827103854,50.14217850364108,49.2295369125982,44.88651937128905,42.65054694316337,38.32090202465113,37.19957962614121,33.17071357651659,34.00290833590711,35.700704514106036,35.690105629351066,40.02065981861293,37.526335284448116,42.687790029832236,42.53805906945827,43.23367924486788,43.20868507844117,45.67642760373413,42.764863235262624,43.990674565448565,40.712319916070236,42.4616402859705,41.30278609843206,38.60538062318979,40.60931088723227,38.600232635796836,39.508247822607075,39.38991262755234,37.721895599898154,39.49733125312815,35.4426131440956,32.08429839176969,28.329625218057178,27.15321627743565,24.06780393909993,24.883392396658383,21.95403260501493,20.251393454354055,25.74009642701943,24.729766832954844,29.315200788200517,28.087500819895315,33.56085031269789,29.979064450870826,32.01999187228608,33.62785878975953,30.10364393012707,27.438460347207094,24.39735683073964,25.980424554984044,22.39417739236145,25.976810823748487,25.52678304304159,28.54203756534885,30.883858089322576,33.97700750625025,36.49215228882303,32.36806736208887,30.800687594063614,27.44090092557647,28.585240460600076,25.94600423185566,22.84170497135094,26.427454328372423,22.72107487382913,26.854678147093612,28.92373779733824,32.279192956311334,34.05893816489122,36.84740349691095,39.28491230481443,37.778385915750306,36.83759311298401,33.35676328378113,34.184224073211865,32.83991898263658,32.53478967370883,33.91231248939011,37.47395134435467,41.031945714919175,38.21706039208348,35.57424737376133,37.25194456716918,33.53562778199425,31.37553399316558,28.008839597454365,26.452434971974988,21.999226913117546,21.02146544576085,16.80780774656952,18.160772431947372,13.467921676900826,15.823934330060991,19.507939257690843,20.847970512659053,22.806552654995926,25.546472140079402,27.434828115901436,31.056181289930002,33.228300142013005,34.966161346012214,38.16880566510192,41.04457928698035,40.86227337268224,42.4785821865181,45.760954952404816,43.23343772330768,40.100411680521276,38.81629185263894,36.3360471605847,37.575086142737476,36.512946150761,35.63797940599444,34.26238617583828,32.06075680081806,35.92575995598027,38.20104564091469,38.54949175912621,39.83413724780612,35.22046364898742,40.72283470742139,44.08065865029768,42.36134495340774,45.018422474540984,44.01858711612976,49.209989608738894,49.101035190786924,50.09646354631894,50.49288660452778,47.027337779978716,46.656236343897966,44.1709459829975,43.700539933277,43.64544869804923,39.65079670754157,38.77186914058942,35.87252396522658,32.44372709641503,34.24326760156813,30.730866501323604,28.304821456057617,30.55098107117955,30.804827147163603,26.002617496404667,26.18566628498687,28.880058009464115,27.19793441087599,22.74035353915413,25.016061724981007,26.032309019931542,21.499838986734435,21.55272357619367,25.615427815061903,27.22248515506274,29.989609615700367,33.91773840290807,32.73221807615865,34.191013859249125,39.09183861538803,41.4275134185227,43.80784160909198,42.76707878527619,42.529361229780555,44.37846375384685,41.48318057612321,46.27846448840983,46.18076845554923,40.55300001100552,42.73950062694796,47.31209453158638,44.25017034993392,41.94310122166965,45.34192680975617,47.00348599156588,43.19423489902097,42.19814973267669,37.866525800551095,38.365815956457624,40.49084476999369,37.63434271314405,38.454162227996385,38.68403886049616,35.781493084126865,33.92899074405086,34.30062442492783,32.73743072011511,28.8857601897885,29.13109264594962,28.702240342953694,25.62994849242319,24.88417243637768,28.96777999588231,27.13714114647322,22.822740767250536,26.632889784274013,30.221097803475576,31.15191482905287,33.90543849375651,33.638751306318085,38.060921948443855,36.74304716446783,32.55804542289533,36.5838015606041,38.8474429722703,36.204834135162095,36.01552699711745,41.71985965460096,41.25684428337056,37.14928613711605,39.91639104679191,44.36657053808115,42.95913258210558,39.84869370729051,35.586833470909134,40.26536234261674,37.01576019728599,35.60395740083172,30.969153399176463,28.995412587409664,24.317731227050817,26.888920730727726,28.596318952839987,32.453913549087936,32.1896348590078,31.6790406255071,27.845292360657083,30.327540956227494,27.177303803086968,23.17058422908033,23.660874571512007,23.57008386842778,20.865086807988668,19.76579853062438,18.89452382905646,15.479633102269949,15.233712123620776,16.071910268230464,14.71741938401763,10.646580023021656,8.696487387043247,8.813326958756186,9.874740584634122],[20.63518120143024,21.048757543395322,22.147816228544645,20.08523875913189,22.310016557110735,16.04938425123556,16.51969481225208,15.362604970707503,12.40864840725818,15.945787600422342,15.177614271610823,14.73868603048834,19.48760711332512,18.694835933276735,20.74409465973085,22.668185010314474,24.79450855242587,28.613463186694933,32.88859061827296,34.93016779362543,38.61612929779706,42.387625005887195,44.04349594148568,44.696349391221155,41.754464659389136,37.60349234956366,35.28303295456364,31.040552578492548,29.32679204766575,26.868466560965032,27.381310912584343,25.958512994634468,27.291047625591162,31.82098815787024,31.495855250624437,31.88167180743089,30.811227329328815,34.359545369776924,35.68178465215979,41.33544701306194,40.37973592189564,39.90881434735783,43.664683306439194,44.89225891156505,47.93891559252493,49.02017970696767,52.53102020206822,49.48603981429735,47.073891823783086,52.172390197996876,51.87782456167324,51.63914935528407,51.065131998227436,45.98327397393092,47.827366871847445,51.5245072934808,48.7388882020944,45.81271185261714,50.02923078733505,52.072464671443605,47.6854822916372,46.94793652013133,43.52402082332431,46.3476397948704,45.53106943815947,41.29979777601055,38.64907335650873,34.38131582523596,32.93173241853367,28.855863529325617,29.516725098204542,31.051299854798096,31.25243371058366,35.68231627221658,33.49112102639892,38.80077260263605,38.894758086474944,39.8310026599246,39.996337513982915,42.59715375473614,40.072103965883855,41.447800447023035,38.62691247741911,40.47711203654085,39.028339602790396,36.11781646137823,37.677344566624214,35.93329603736522,36.2424151094827,36.27640607495988,34.20115574832036,35.81027576767327,31.743044831632794,28.597087640653438,24.69432589469017,23.341391568760148,20.058791306697405,21.744442119843303,19.16151976784285,18.617451433687503,23.648420759312298,23.658941964444374,27.617439133776028,27.152354134410228,32.70506335933852,29.307322579484715,32.01033617876267,33.506160543168455,30.115457259801822,27.331010209004383,24.06505419182211,24.70765492743502,20.595897025580573,23.65456674944089,22.406823981496792,25.304239407519066,27.32036125358577,30.36459965768533,32.47080560514867,28.36776212466747,26.696515468974837,23.47341946178397,24.91279220814956,22.63892874426424,20.007886749102425,24.217488871887838,21.506613612968717,25.60230811275439,28.14916212404552,31.489714175980758,33.47778325533083,36.58950337290023,38.51630386347988,36.99767967359442,35.628039307281675,31.815034634976335,32.910506496259636,30.858702547847805,30.042602149154874,31.21210308338123,34.345495484207525,37.75686576895844,34.805355953201094,32.426480948969214,34.193656261013246,30.48488381217871,28.415335362442278,25.29765912047017,24.33172202770143,19.89254299232753,19.951513976614066,15.573733759445517,18.0190444538034,13.85967104954193,14.86531168573428,18.34736437875719,18.919893181326962,21.536418499664244,23.44156434760541,25.995337564060634,29.10172083267036,30.736752852909508,32.39482063930606,35.67064794252997,38.726891814395735,38.478187463491565,40.5644381549165,43.799621091333414,41.56972652000241,38.14734179936606,37.09015346908722,34.28319932830424,35.627125841629805,34.640129973787154,33.686121571670306,32.63346094858667,29.956077744508942,34.25609477624294,36.27554229692275,37.037643311133515,38.09715724533167,33.973650169568494,39.58113651089509,42.857717822920605,40.82897187723411,43.03180356021605,41.61867159097673,46.889546117253246,46.55546716005773,47.967462276758795,48.588244657946774,45.26219976107845,45.22816058548165,42.99093937340074,42.86328551281051,43.15591542624704,39.12556842815994,38.728050640967346,36.15045956412385,32.785611660243845,35.255035216201236,31.89929334393249,29.07399049784811,31.635236842226803,32.48252951726735,27.64046508166537,27.37441737179064,30.71414700729114,29.64262762599143,24.870865762231084,27.22691984686968,28.817914569680244,24.427024014671062,24.03619795504267,28.39910663226737,29.50986178587991,32.91924395848133,35.968056837427554,34.89130342026749,36.8045713902329,41.6040396589331,44.32089280088634,46.45583084917382,45.421545669018585,44.82648149763075,46.554863772592036,43.36035893711862,48.005328289201316,48.03216431658189,42.12794854703154,44.077436252496945,48.596432134212854,45.49438129739102,42.90252332359803,46.0589829044234,47.79520225373832,43.9490186256197,42.40524194788316,38.551300018547394,38.90898319230674,41.40053639887795,39.049756693233455,39.78695307126917,40.572990755642046,37.21091391748957,35.18766125687218,36.31603263236991,34.87804509253714,30.633838544008444,31.243206944029254,31.392023618626926,28.40182566500097,27.52288203555759,31.995477628602686,30.53875432039708,26.22409153133077,29.916309034486314,33.6510068237912,34.20308095360831,36.79303658745225,36.083483824536025,40.497720879052984,39.465244947228086,34.853158149461606,38.59427501219141,41.039703202850134,38.357514852048936,37.59490910907552,43.47885513033084,43.11474940936467,38.620694919201554,41.06163391282549,45.773383856914016,44.40491484558001,41.04239338034426,36.66737829444322,41.34698819212511,37.98082088398539,37.1841960282224,32.21321631106293,30.428024829794186,25.714312357617214,27.75892786862508,29.227056776283817,32.95568644607757,32.447861506198805,32.38720813987914,28.06887992768534,30.448676547349717,26.747595311557884,23.921231317355485,24.439628164950527,25.073256361858324,21.92538129423162,20.43373755514127,20.74242279622421,17.449545166332875,15.592883221930334,17.453137748506947,17.24225190945456,13.321804303299341,10.946025983162073,11.174240208429907,11.857033578417102],[19.774545459064843,19.761317750577923,20.156089872945543,18.42831478679056,19.802200683313842,13.536143058455043,13.738343417910068,12.042947227545175,9.618772982798351,13.624951231244562,13.177828755464311,12.249730939334523,16.948222723936176,16.88404138988885,18.955827383397576,20.45661407399783,22.59861118079253,26.621503222749677,31.098540678454732,32.77909559100346,36.649926340740265,40.210897624581236,42.07410199961614,42.74274682892988,39.58549600133854,35.577294265821756,32.97308246781472,28.740166395399918,26.942055675975002,24.26360666648315,25.41640481943337,23.432776883984435,25.05296841514689,29.70067200830948,29.05373718651404,29.489673545611062,28.033468692225792,31.701049356080524,32.93261048987632,38.39728365835542,37.69157974460327,37.45183464715929,41.106669855791935,42.21642353334402,45.36181590240859,46.35712130520073,49.855263450534885,46.76189426633406,44.22794624966426,49.23643277217814,48.92155923524165,48.55630815219157,48.05782238021432,42.97791945479013,44.87385401505331,48.68162900191412,46.00998081043258,43.13554642104205,47.39317399748707,49.48967250460607,45.28125340561027,44.736318560782614,41.3858016648733,44.43497887144879,43.437432977287095,39.104452877970125,36.86414592087166,32.560382397042005,31.478760268431433,27.53080874997252,28.43430311123681,30.36980732041834,30.24838789554405,34.45492419179455,31.941910674208472,37.26434889631269,36.92722588874689,37.845102364376615,37.707656829027854,40.10554602201522,37.32597772468339,38.5181430162537,35.50056725490957,37.25693941784444,35.90845559450228,33.1134525520454,34.95127574041729,33.15680074392631,33.848065345714545,34.03988604757812,32.25802843122857,34.248740098844415,30.22567801560915,26.959333806555026,22.94729510460229,22.082773905384467,18.700463984934384,19.667711141104373,16.702382176409646,15.891639350274794,20.76683267769121,20.319569204495433,24.371806406193162,23.632518214131185,29.159547754799743,25.75207732294241,28.43317888924021,30.014749729328287,26.72559534534778,23.812832569274196,20.68908898178967,21.391879286493136,17.45759804081464,20.80016933315193,19.909070725636884,23.043474826641,25.171529517224418,28.417331256136,30.770038042312617,26.567514210016604,25.13078557422882,21.78476747085257,23.238435939326745,20.66328798057287,17.75926062637035,21.61780899292011,18.561481099401206,22.53607203982597,24.941874642947237,28.104976640660567,30.306534105298173,33.264987429915855,35.24710631639302,33.57151147265196,32.43961846656093,28.726126009978536,30.063274059153663,28.19196760172572,27.677565907829475,28.70513613755422,32.23862139594184,35.570041652789754,32.58305295954559,30.007431585103653,31.591763943080664,27.81765199092616,25.745678926486043,22.405826850477208,21.146859423383123,16.684029685011247,16.424263976840628,12.045742801561742,14.524894007020881,10.753443234829849,11.891786717078306,15.105374799635442,15.703536167685579,18.065340068287696,20.235503983478864,22.557425516473593,25.8944269475071,27.713992487273742,29.54216150357505,32.70029428280467,35.79306735111616,35.77187659435543,37.6262893219861,41.003171891329515,38.78079837786421,35.46716152719266,34.20642184022246,31.42052747002989,32.5246551322765,31.412386148212686,30.43133639041544,29.261384882779318,26.76515933380802,30.962605459809335,33.01351703886108,33.64036790216241,34.79155784839037,30.534229597832752,36.15493054474104,39.479284285206454,37.556301189756276,39.853726114512384,38.59395103047085,43.851410695049694,43.72313050418523,44.93554892605414,45.53657475542879,42.13245972611834,42.088838294745685,39.83999098328869,39.67389246869395,40.01989620196261,36.103532739872364,35.6070126445287,33.17203442307428,29.63282516390932,32.20069458883784,28.731001701530666,25.971189822980147,28.84635385876603,29.658591222744157,24.828554701704203,24.970180650955612,28.321522571720923,27.1283297467054,22.644285391924896,25.296525813956325,26.928098747374193,22.56283974470694,22.59879183598635,27.071139156116082,28.009090953219786,31.35871530822474,34.31707007277339,32.90149794568184,34.82477270144124,39.437149801589385,42.33855158961181,44.21607525785053,42.92138240029553,42.129318972126406,43.67620942874066,40.30965149302712,44.92923396387331,45.15373168009223,39.22225884795884,40.98192956498661,45.6007495116527,42.66436850834377,39.94338302880006,42.9795684957049,44.97874691641573,41.248332222881515,39.458642630832806,35.65180120366482,35.674082286413245,38.162234455487805,35.86471509648908,36.446757684448464,37.32670621423545,33.81403213533337,31.830313686093117,33.19073194527972,31.700504503196104,27.37713780621457,28.246460039193874,28.543890564060987,25.594828470367275,24.846995960013153,29.47031932691352,28.1806827402624,24.037783259820767,27.81214253073547,31.53217141785781,31.95473203673627,34.282053809604065,33.29865252623159,37.73489643623304,37.019422732512766,32.3448058783973,35.84192469360458,38.52808578880419,36.000909069363196,35.00682140253477,40.886953645926965,40.84421052707258,36.36020589875477,38.530804418803434,43.36122668264863,42.285787484191545,38.96198117650089,34.74016554672168,39.61882741474043,36.51320548301931,35.728009585389046,30.80350410327112,28.6244511382817,24.02370756672221,26.427587353180524,27.537679922687396,31.227424375985258,30.39645412589199,30.01015505797322,25.462276119738878,27.521131310112224,23.800649410850266,21.02543951947266,21.198022003652273,21.911477265055073,18.538119277601023,17.279284198528952,17.978993160343812,14.54330934148504,12.483887502691472,15.21611196743683,15.140057043250893,11.234180442354804,8.775293986572972,8.850723401312427,9.520075908582259],[19.54009218589326,18.957108503897985,18.62468814538627,16.32668712103202,17.338547390771385,11.189536368812199,10.71988577484574,9.477644883867384,6.291774421323995,10.226449917940464,10.240350353196913,10.096475560012626,14.056689022654096,13.734938049053788,16.4119835470373,17.936036412612054,19.56562619125125,23.754620940827696,28.031855313830796,29.82105466313696,33.6585005714382,37.2443852942561,39.01336196529728,39.51740771342192,36.37742137239752,32.33143522965525,29.75479760339612,25.50285541652494,23.997580836276022,21.628914618862215,23.19607603611653,21.452617915844446,23.579427683522095,28.070716519064078,27.061633458255635,27.06016800966687,25.71374822452982,28.903453850507788,29.95895629136807,35.567017227212624,34.544539110615126,34.41376258918224,38.19691147592653,39.20402833302693,42.235619459255176,43.162755318381606,46.74229557281625,43.778241941422316,41.17371247977134,46.2501649475352,46.11262008024452,45.8803857020926,45.473773130453,40.354183360169,42.49968166299868,46.16985590027314,43.30457019053556,40.62709814428379,45.001561161057026,46.834909181737615,42.572944049055764,42.26313417104652,39.062170812411296,41.91980464527619,40.72722963957645,36.437439807760306,34.11242473479358,29.921496739970728,28.666543089755727,24.911829743356215,25.675009408282495,27.83608393283776,27.881180630273338,31.952120205228972,29.626140803400236,35.223278413641395,34.64267470826558,35.91740270797784,35.58899319453515,37.805669423016326,35.134939735717005,36.088906022612946,33.327236542660444,34.86913325285631,33.22041618443525,30.55659630951392,32.34548776403991,30.97165270773653,31.447764143100688,32.17864847894014,30.251051689766417,32.49949314788677,28.547255080057194,25.470669816367398,21.15248501947618,20.66036944099793,16.884249928035256,18.219246225312094,15.247619138060587,15.434384306702585,19.37628148837685,19.15783733125048,22.60290092314689,21.94772821695349,27.249967323520213,23.722684670293454,26.742973602717367,28.03514378679932,24.749579026991594,21.976965777688772,18.581642448380194,18.734441667215158,14.49716069768123,17.52316302711852,16.489415836623746,19.509311321714232,21.735582855395407,24.880106125098177,27.4165772381103,23.349208565053452,21.785453810063,18.37052206077436,19.660222792079008,17.063503636005958,14.215315386686784,18.268082145513024,15.744363416918834,19.69122178008407,22.383285985910046,25.656405997966825,27.785268316551406,30.994649020582557,32.658908801763815,31.148326325731283,29.62521025782947,25.745648109838132,27.091863209757545,24.911909981553297,24.211384596104647,25.234432531241545,28.65885821829983,32.02928077436866,29.107434822455883,26.55156126234142,28.292871699187096,24.644901417456445,22.45553989511104,19.328422164398724,18.30052733598239,13.878213261374373,14.362174195882169,10.394626671587515,14.005009506471719,11.56411877803234,11.95739220212565,14.298891446761534,13.9558187381404,16.318809292660845,17.97897440391825,20.2202054847742,23.022415457227133,24.817164309517565,26.301599512107234,29.634664404261315,32.59380648886521,32.40874800569497,34.449499708903545,37.749726943758766,35.614988756110414,32.18659765779941,31.05554129747041,28.180432853602404,29.481718620041008,28.56217214584425,27.751910911423078,26.948710124905663,24.409962604563987,28.97073129605515,30.588811181266195,31.368180015628383,32.10637801941278,28.07876310813866,33.64352884175104,36.85837513503165,34.74211505820322,36.950656331200435,35.59849039770634,40.831925111835446,40.471844819225105,41.830911835459744,42.44550811798738,39.12930076892496,39.15007029024097,36.99192353136585,36.98864024631626,37.477550517775484,33.51926321240183,33.338123498104785,31.09321990183992,27.694961342165243,30.69349777504097,27.468798357807238,24.399493124958287,27.38655652122778,28.68157583342686,23.930153610420223,23.665599480452027,27.454065924247192,26.846968625747767,22.191997266359984,24.849979082672938,26.935124167571892,22.8375892392496,22.55702680517056,27.16613417651822,27.639718653141934,31.438162399313647,33.61141565045799,32.24081134705146,34.51612032317145,38.96988948014192,42.19124767612759,43.821767801233065,42.57539405569736,41.49622180872958,42.97827722623996,39.4510479147274,43.895297189323784,44.14038210774577,38.038138919951976,39.653979892706424,44.15022464802616,41.16393101233187,38.27840353421493,41.150989364314476,43.129700173539796,39.38910478821444,37.2733065994341,33.81510076183396,33.84942404052559,36.593189788111424,34.71686919794104,35.36404127627379,36.731499721082045,32.98962606530131,30.771325701646532,32.65447344616408,31.46720604739828,26.840821722896713,27.811554427909755,28.69861788130427,25.93827107477387,24.904222788116893,29.769912477513206,28.925947153178406,24.819188317924596,28.29748478209574,32.10288092947804,32.12063138627685,34.30100901310477,32.974375090147824,37.31833521091247,36.799897935986145,31.805841242708443,35.03649491862806,37.804211123866374,35.266231192660314,33.82234728692193,39.779345491908444,39.81299891923615,35.08227729161168,36.97207350234486,41.95354456210992,40.94411750413797,37.47612541639566,33.250842658391754,38.12594632659412,35.04817503972298,34.70513120095172,29.62964321720804,27.515342512734534,23.028347058296735,25.108001417184727,25.911394068257444,29.439980121987034,28.37634952810238,28.250864383917467,23.423034217772535,25.395921329260073,21.37233298881749,19.512343587473627,19.839712269815934,21.16463426191952,17.75896464237822,15.93862572573672,17.553512425190448,14.608591234298832,11.181566692427008,14.51725852821128,15.46843771472834,12.16993186818244,9.80407371431226,10.304658132206582,10.905946265098299],[15.783638757950586,14.8899176142985,14.230068898702667,12.71753903002829,13.43244956411824,7.206232718578694,7.995911977156153,7.154043411278278,6.561849335043702,11.271526444895056,12.648613927005556,12.363835362927842,15.255597737354188,15.749912930039004,18.94618977908354,19.842093147374136,20.902113501596336,25.447354775777242,29.615595290522762,31.03175484793672,35.02136336980946,38.286224404507784,40.20288978993234,40.44954556858613,37.066708924829754,33.22553979841939,30.288126300519146,26.11303318815149,24.9744180043322,22.588088152720346,25.43071252618239,22.960105216080237,25.613857613116195,30.14608363689136,28.549786333916384,28.42273948086692,26.41854163290777,29.392441791123975,29.969865925116316,35.20480857328743,34.30884164880791,34.90892272575891,38.62187733596355,39.20820479653155,42.214491867941376,42.735919795564485,46.43879848298411,43.65295415898604,40.59661537403957,45.46419456108539,45.61068439220716,45.176874253218124,45.12062787065032,39.99007741692419,42.49035453822123,46.30558519346432,43.54862548390661,41.18126590901162,45.67914010290142,47.40215184133703,43.463535264144944,43.656214565265486,40.692359467434095,43.70891833261023,42.12618304648989,37.77700130042779,35.96348582353212,31.902919818972688,30.90017089735723,27.533500815905995,28.319945049953773,30.895309984388323,30.891150080669902,34.614492283796565,32.15021532296111,37.807477126400045,36.595161337955496,37.97637079504954,37.12995295248872,38.885595946630175,35.80531851062805,36.176439342358016,33.07934500522227,34.12803739136657,32.49913636903366,30.4082043469399,32.82274507679172,31.642533300054275,32.73455302203763,33.943876312246196,32.43464939317255,35.1983445170484,31.384433233520344,28.275422201162755,23.890916199564717,24.01845340368169,20.200420648660003,20.709491546945067,17.299175791850217,16.844472679691854,20.331877789707246,18.717928564535573,22.350914526948333,20.46979639362312,25.317503729322464,21.1863951943954,23.647315979826605,24.65379516192892,21.014376446932932,18.633840443846125,14.994603737269983,16.136642988085065,12.41989246989748,16.00958221302392,16.400658583363075,19.300628767186794,22.2066519605066,25.15316506513798,28.570127744959418,24.794336406923453,23.235056332314993,19.647920565860186,20.08107730564686,16.9100299960778,13.317294407846138,16.31706600038285,12.527939610598539,16.686489393858235,19.015022138098836,22.624366662055348,24.255405933136707,27.399672861793473,29.45539533860362,28.243955292189863,26.787457107083924,23.19918883716838,24.034842577963122,22.638686767789782,22.572972872104444,24.006558601714282,27.94330575475885,31.608311537854583,29.0769056440426,26.154133801187108,27.978520623113155,24.588090546279002,22.09409201606137,18.933852526552116,17.152784987098304,12.838969659329878,12.326720799830385,9.359708600936225,12.731387000379856,11.25091997793948,12.889681441116553,14.478221428021886,14.219474877785277,15.304541297660142,17.758678441790895,18.585408318835466,21.47321608569994,24.210722068123776,25.251513117953724,28.718196472181653,31.115178715129627,30.75569976129257,32.285738004503116,35.533270389434286,33.01320712883766,29.887680589663404,28.578809018461246,26.147956826278293,27.615434460903867,26.892310984973918,26.5111657348178,25.729984922072152,23.970694893290972,28.324480475252095,29.702610232247245,30.01674058124708,30.472635829402318,25.937089800173712,31.259392264562983,34.45009644539518,32.53536896964353,35.38485280342607,34.587065155002605,39.628158308657916,39.26723326199335,40.170473404395985,40.43091265427088,37.0161773909222,36.56242108969708,34.11012972443353,33.785294627479104,33.917064112658636,29.881064204791226,29.4061808720047,26.87330046381892,23.5126548119876,26.218425151131896,23.053149312406017,19.973302128536115,22.750475312309042,23.98666674557174,19.222680140142877,18.967611067121865,22.682396030386062,22.161973260797243,17.473554138167167,20.201121005131856,22.35473475960975,18.396584411073867,18.232142697783303,22.849997054186456,23.186740605773785,26.958182256875627,29.06163442969849,27.538475138695514,29.819615946222143,34.21852444753471,37.50912639889571,39.06745582425889,37.86299605204805,36.791905321258064,38.36304030352738,34.94763635929841,39.40157868442172,39.497281338379196,33.411381745258225,35.18688458215364,39.63668394445797,36.5773043655379,33.80887197557265,36.84888520620407,38.7005932770511,34.937854180099336,33.129534744466774,29.39647655307131,29.70098717823423,32.33961197999411,30.330164626021322,31.244846709178397,32.61597900422602,29.114363669172103,26.69446443049028,28.34477644738541,27.474153773127107,22.766229388582715,23.373306332206052,24.49218819566521,21.865170682259347,20.460530323382738,25.384997705591317,24.819996804588797,20.685788235295544,23.894160251286458,27.738615308310344,27.548448853151957,29.730771837982914,28.398825528348908,32.69771741156093,32.110215069127264,27.055544157697504,30.327265433631993,33.03722409972406,30.491165545340532,29.093732168013332,35.04367320481806,35.075165567279775,30.407966066345125,32.36126206705128,37.29824146097875,36.332356881358535,32.94101776048598,28.799666211191585,33.78555511354513,30.892285898561436,30.355486074143194,25.407782461070795,23.002714704571368,18.59354301427452,21.07638340090056,21.730444760362158,25.30927831313257,24.203931499972406,23.758526954785694,19.072298563280924,21.1779731231084,17.476378465588674,14.906838775343646,15.52572475858658,16.801226745246804,13.88347004463062,11.490235927122663,12.925561775873808,10.43293358432463,6.6642631168635384,9.848205361877834,11.17821100005333,8.618169265709115,6.7258816207828716,8.05993478064605,9.357499541266918],[15.835563581293467,14.374581425963546,13.065947998648532,10.442394270889139,11.25250634809984,5.228551844265711,5.45182051404325,6.656433482034209,5.414653780000715,9.351492123548336,11.544694533076568,12.459891448356831,14.077011024094105,13.931951151577438,17.911660249858684,18.926029769641946,19.16106851265494,23.798484833087674,27.50645303985176,29.19418131271789,33.029521427637064,36.36920811729694,38.06074758732454,38.03031158016768,34.76197979031645,30.842644458466555,28.058468525755647,23.903115178301572,23.31689115586673,21.508575530753355,24.668355171616216,22.717589259924694,25.807647403453664,30.05306407312762,28.15142306116168,27.454247505788807,25.721953177930292,27.94089180290485,28.238416021185206,33.66897844437851,32.22657392643813,32.977833423893166,36.88582086807696,37.33209559955173,40.111584179494116,40.51412862878843,44.344756987472,41.79725114382365,38.65125586755342,43.59973841526024,44.0397931098787,43.82005966802708,43.90018300639765,38.74118189525358,41.56434017990259,45.155753808332534,42.120494277728156,40.029300424421024,44.64687356655525,45.99249814005933,41.957069063334565,42.41541734121171,39.64593100094288,42.31531666512558,40.53415912456078,36.310548492577645,34.259503154735164,30.420651918841163,29.04710581267903,25.968092498877745,26.430539347280817,29.11139217121198,29.483942491864813,33.065956062412184,31.00537087414381,36.93519930309645,35.580513544639295,37.39809675019849,36.41981146643292,37.98524029514336,35.13763912754475,35.22093470419998,32.52825124136689,33.26988784910596,31.209618773563072,29.346725540771118,31.623017427189506,31.035626566212997,31.74081902314905,33.56576020066427,31.8088907398004,34.716277695670215,31.014453455001018,28.20882247527401,23.604603495388464,23.970782119120148,19.864824048086238,20.99777664808797,17.820259109935794,18.420433848926955,20.930867914921087,19.70792707875092,22.5182635309528,20.766303830357764,25.166139204225413,20.854786852575366,23.623676441890467,24.10742483739119,20.384757887340637,18.442528974550775,14.351931880833295,14.81180830479109,10.693912829500508,13.611872624587663,13.969811712464184,16.424328253314332,19.602311072096036,22.176883608473336,25.922392864427483,22.5065759025063,20.63073993046423,17.018334820822098,16.886395080955097,13.697607724532075,10.091275960500864,13.383275949104405,10.418068713041105,14.696162240696934,17.48301252003627,21.443177765068242,22.659293824631963,26.244605103242964,27.884113192502408,27.09506707661709,24.932191487997958,21.113405542901305,21.618890700466334,19.817901930805448,19.408079856180002,21.09173949018227,24.725801292135504,28.5984300725187,26.29427082341046,23.445401163132075,25.641323615686602,22.56576383435161,19.845858442744625,17.198763776409056,15.813181032358354,11.76926119587255,12.38571997677328,10.403161836972501,14.6772466460209,14.215783266816578,15.126014720292343,15.993365844786235,14.752066066780513,15.751943389929256,17.437206870464085,18.003946445764708,19.924752320583593,22.68820358298257,22.999477249524322,26.81105292392454,28.846147450027335,28.04451718239369,29.878373310744337,32.90065638100821,30.399434643951068,27.099478973776307,26.087569239139583,23.629289984301618,25.607723655260763,25.3011373149879,25.274218658167104,25.071057512207606,23.317975508633754,28.082811230824188,28.839530397825886,29.345963310243565,29.138950465067946,24.94365262899646,30.075581920332663,33.0591573014514,30.863047075526946,33.65407261609721,32.755696067413055,37.71114854198821,36.909415896929055,38.034710309587744,38.24786143552646,34.98675922100014,34.5233899211912,32.14214428538297,31.99928107314183,32.2098471346092,28.02834723499618,28.01180739937137,25.59381637282432,22.613735596199597,25.759675404180346,23.0793176329468,19.573910974788575,22.17159845705194,24.081354019041424,19.519849247812203,18.36056827564025,22.618499172932935,23.003025524445295,17.995862894169235,20.4520116414397,23.150315763703556,19.637914073760346,18.782066838919828,23.41108397694066,23.21558782146882,27.566787337229883,28.655922972565037,27.4153122376513,30.133584029789095,34.39943289800506,37.964249107909744,39.35549556761471,38.39381851269242,37.09611366922476,38.705876140267186,35.24757294878764,39.45816610480714,39.42274835443539,33.181985039057295,34.912625938445025,39.09370379676592,35.85942614840869,32.99814357700687,35.91685758001987,37.52371727713876,33.67407171740543,31.66251270648731,28.343114784767938,28.96370205658536,31.906883057185077,30.415309494464875,31.55506047131223,33.46211553953326,29.856003424299054,27.117990156960012,29.215897933417796,28.81017629469645,23.868242216574583,24.360303503682935,26.114355529477972,23.759591155902317,21.921544670974306,26.934245430932794,26.83413080380918,22.7231515681894,25.42530023915523,29.32032226760723,28.694177296471498,30.832768465361777,29.26904189970931,33.373412058166146,32.824154254108485,27.45415226189268,30.50797741682478,33.12343712435955,30.47997576846371,28.65999385132155,34.66643729118599,34.57942732115719,29.610183455675866,31.37001528330142,36.39802542115288,35.3321196091315,31.743155903518918,27.517236984776606,32.36418728027053,29.37071600164615,29.410168204270093,24.264891119264576,22.199959982354386,17.943386121276006,19.721647618081445,20.148425563812914,23.52225650026329,22.306538625461098,22.437623435108566,17.57423906151886,19.83517302222837,15.788322203415115,14.523247776957893,15.711111351049674,17.714116853392905,15.146343966166267,11.824460745768826,14.129842050491913,12.622600483740033,7.581961219320103,10.431126394857044,13.036680561143987,11.410627002044524,9.835241069155183,11.419509511987556,12.557151226531131],[17.428210803807474,15.411793582100286,13.26175503994217,9.590572238953632,9.936219157260247,5.696917240838419,4.2936686346244874,7.62967196154078,6.173554458923978,7.9948205059532995,11.04155863335452,13.129662174096792,13.084308614571224,12.286498656711277,16.97247363856309,17.996310558626853,17.225594938671197,21.85610415302849,24.97597637406296,26.899483896368903,30.531261823526453,33.896881349592526,35.34722826001684,35.01686597446519,31.87607359569143,27.92027911832593,25.31343167760484,21.247561167065964,21.32186725732924,20.225526955014185,23.73720530140336,22.360859676901743,25.874779422372526,29.718445484094712,27.480823798467306,26.160714938743087,24.74246364157944,26.064067479169932,26.035489942633028,31.61541167553753,29.585116171288668,30.500735163563455,34.58100679519777,34.86753762117288,37.38577041862396,37.6673286251568,41.610707822675344,39.32492617888352,36.1130981818932,41.12637608242348,41.86709576178894,41.88498346858133,42.101225447368,36.95110714082821,40.10006138899865,43.41912598875241,40.104937437991516,38.33372710405748,43.04663264522304,43.97364127844622,39.870822920730866,40.633300590346565,38.11145611900619,40.39766720224188,38.392567340215265,34.33882155789061,32.0959836138711,28.558070294402043,26.842798377872068,24.184972457999727,24.30817932472931,27.137139657308786,27.86359464093818,31.182708396668524,29.556782801322083,35.70332961546104,34.14863147677361,36.42512096492791,35.27977791871573,36.59852449525952,34.02621048356316,33.78631093840472,31.57906724111894,31.98265663604157,29.469313756809846,27.877920425890913,29.9677443355149,30.050609407830123,30.339647130744822,32.83989313724832,30.871733612995836,33.94357573144304,30.43695170404363,28.008931879696014,23.277863981942378,23.973489054060927,19.70384231281159,21.352727370798526,18.52373111895316,20.148230854734464,21.525972148573715,20.749973631779504,22.578675282486458,21.067169325371474,24.88106387733866,20.555835192040014,23.660022127319966,23.61006995121474,19.992694347112106,18.517844208579515,14.218416899131087,13.67965158050998,9.363870978907002,11.076652165059546,11.335298083858765,13.119371830618348,16.576415146558745,18.681477458985235,22.800073585824794,19.860803337378204,17.687714967218263,14.127428805701731,13.254845651525146,10.053106125584062,6.5248932186939195,10.20471129552366,8.856906141077236,12.855391806461379,16.122020383240557,20.251818811610978,21.09543199393764,25.087172810381897,26.15531415448398,25.781791143462428,22.870849261661455,18.823253397516748,19.076075013062695,16.681937444839157,15.79807093264052,17.688283323959674,20.949835577948683,25.00230254515425,22.950491520519886,20.21120354322789,22.794613114427797,20.134321607994217,17.213490444332578,15.281239166945008,14.466637401468605,11.072565363386518,12.952131296441499,12.112538290972267,16.91136994757327,17.404176535464817,17.625796457255387,17.730553079273324,15.56926440525229,16.423781960569773,17.16208067414539,17.455139400110202,18.173389131704443,20.839813402833485,20.31374804181789,24.449078032597164,26.090668081438444,24.835505435641764,27.041572757215075,29.819471455739027,27.428266253041777,23.919351368857313,23.254054307989904,20.72355055578366,23.221593066290144,23.37260175094442,23.718304155925864,24.17234421847827,22.443887161043914,27.56049121274075,27.618739602043163,28.355462751149382,27.430718808801227,23.74375352797017,28.597517103699605,31.317461876081136,28.814309004019407,31.444872675570796,30.40860457820002,35.23913792584484,33.97180651498549,35.36297059396959,35.56439443192726,32.50014512012028,32.09884024981509,29.869059033260896,29.987994934350258,30.3720581089868,26.12576857795899,26.676102327234872,24.550792254851974,22.01132742992309,25.66654271997127,23.531305981824747,19.704271623279247,22.17787940803024,24.75630753713774,20.562500296626926,18.66520174152941,23.35102443355288,24.58387545514249,19.56071488473759,21.74360972611403,24.887030480837723,21.896873249748523,20.56412618145276,25.063690865357316,24.308734936871662,29.102676728416615,29.10495551386204,28.093134934897062,31.20912056491673,35.20777348709674,39.059144566525745,40.184214199522856,39.39330141545785,37.80594670574377,39.360928749572906,35.819759415770775,39.7129789454386,39.630775714974035,33.28529817461752,34.8484315706922,38.73105028921027,35.41064541231247,32.41536157584586,35.08751041390624,36.518892787367804,32.66313868315032,30.292450646722383,27.574729607202514,28.368255205559823,31.62264666622534,30.762885070781532,32.0306776089029,34.50795164236414,30.759515295271687,27.778317234573645,30.419206291345755,30.42805316625844,25.33388298732723,25.841751587269922,28.198093964697094,26.14345441704543,24.036939534933268,29.06349258364119,29.417015552799484,25.463950667051485,27.706820901316412,31.567087011809377,30.51858150050607,32.489379098382656,30.626857938108873,34.48238302211584,34.099382300455545,28.49077953832318,31.16328861208132,33.732324723306675,31.088063198804463,28.7551560268005,34.72174698320275,34.62562769402105,29.40447062190193,30.79901291421023,35.90820766019836,34.84776852117283,31.09543204136479,26.905697059821694,31.55579306728206,28.574175136901466,29.297000298426273,24.06814232900951,22.345317917094068,18.48285981724242,19.4657344417751,19.47938213889207,22.455146470438525,21.00630341345598,21.73859208359992,16.725919086930993,18.90036860283613,14.530754289473053,15.059532866690724,16.581173993832223,19.26039454299461,16.99988823519455,13.179226542354456,16.314154245142888,15.600349986660799,9.993185494555837,12.60467614723362,16.019186072184898,15.072562133782984,13.71446517747722,15.282128995513926,16.222274427973137],[13.465798052560348,11.319851588686594,9.882559807583542,5.201272664306156,8.627894611917267,5.869978142379895,7.739760608850733,11.66867863094382,11.170575604190368,13.253114736124028,16.231992689992737,18.30546654176759,18.33466496294629,17.28449203787088,22.148175612516322,23.24403269853912,22.12173744545108,26.69034353306819,29.32930338482051,31.407373965106807,34.84981630963194,38.15205237187088,39.39018600905226,38.67889857267047,35.67668848991407,31.78814379312345,29.321394015427913,25.453880696872613,26.061591981826997,25.25460309788059,28.955857768623865,27.609619863989668,31.170504033688527,35.00793594454722,32.66828764528319,31.19930908102252,29.701959104550586,30.631403133763875,30.21379273652433,35.569756555029045,33.23726437779832,34.6296166012877,38.75071580212884,38.71191340451915,40.9565911825836,40.85003335303404,44.936420905443306,43.03017728426946,39.50355229391737,44.345015027298494,45.515034170067075,45.53301720972136,46.064400419689974,40.956100204828665,44.431800309739394,47.688738423576886,44.31271855109322,42.864011013557906,47.63418875865734,48.294616700332384,44.30463047916163,45.367866736446594,43.0226618771883,45.109902532302094,42.92676262577357,39.00183193085508,36.688438637138425,33.37555749371152,31.36922996643957,28.932398736464307,28.719673677126263,31.402075698122385,32.55944338896882,35.836487609881765,34.540075622671935,40.76493917035853,39.1560986852196,41.589259520810465,40.334426120109114,41.454401340523454,38.8478678594032,38.25208538596656,36.02939780534673,36.02525272227255,33.38427565397298,32.28722955956378,34.5715230233025,34.936472630708145,35.28971850368055,38.039098439048686,36.06768581594527,39.151599833884454,35.67040372488987,33.295050095601795,28.55480373247251,29.136741486038677,24.832052788797522,26.63225370112193,23.72971069066549,24.92650878060041,26.585370149137592,25.221394068844216,27.24654857503612,25.026370249486718,28.332925891233145,23.52606881118141,25.909252966917542,25.26534689122656,21.15485204718142,20.617836549937884,16.045290202146884,16.58392263400122,13.117682550298248,14.579764434278214,15.756541145556987,16.708925431585453,20.53763230509057,21.837997773372784,26.49981726659872,24.179242068183058,21.66122550348066,18.287477356140805,16.341745882013388,13.37626330333491,10.151545438661465,12.43872234167733,10.584649693982875,14.587790447059362,17.441988203410496,22.20104104714056,21.712110644874663,25.898118707910374,27.233761475631535,27.708099965722717,24.3597422574414,20.688172402746428,19.452897169382684,17.87808448978852,17.203131407971323,20.017685435920377,22.875950283541094,27.422693326714143,26.09689928076383,23.399320471630297,26.377325734915505,24.2817017259515,21.161292320094027,19.72135633891229,18.675703890306817,15.672556825001301,16.82656304838551,16.380244593186283,20.64593058646647,20.770710870376192,21.87066405988057,22.24954249213898,20.45444364702565,20.78842973018546,21.96101469640452,21.352177197890043,21.71732166039161,24.978557037371417,23.583777252130762,27.960854888963247,28.690013245344236,26.66403184840667,28.62729550919212,30.87190441575992,27.961365565146245,24.732728910824832,24.388108728107024,22.59103062257263,25.815078876183474,26.52094299731202,27.443601872752744,28.12319317019507,26.950761982612853,31.904212169439976,31.652894147196417,32.089713461729666,30.642304634616952,26.762773578476363,31.08281877016803,33.55783774142547,31.134445053898858,34.32652995718558,33.71965083315643,38.198656956483696,36.487259692786154,37.6668609270024,37.41012352171674,34.47834669210902,33.44644227660849,30.90810944740867,30.7006008563094,30.467986612335302,25.92475164697272,26.41445563045199,23.65157293485666,21.827049246417367,24.87197401314021,23.32087758314038,19.370180965539113,20.61891656004772,23.425528482307044,19.43392093366475,16.190548341528626,20.945980882427044,22.983545993049862,17.31906824202271,18.75388954600827,22.20259672064192,19.660554302079127,17.27120478638277,21.551052807610045,20.556788154241218,25.800916388417725,25.22734695286583,24.854764458546047,28.200659482899194,32.38291038921721,36.11734515748138,37.52842939663349,37.383365981459775,36.08040897233432,38.09089623673176,35.04599845613392,38.85561921520978,38.14866504017343,31.89677379004814,34.01085061638572,37.47073919788679,33.68539596026833,31.125017715215662,34.19104553205064,34.777037969914,30.64387692380059,29.212413451183693,26.216641445871225,28.226759850510035,31.365692142400427,30.420670672126935,32.37606731658546,34.792305233769156,31.651687625690933,28.34887011218945,30.326722335686455,30.939827954259307,25.957898748034868,25.49913420123475,28.008718518575055,26.15581471158408,23.309952211335055,28.06426013335727,28.63700891062276,24.444798896614635,25.974999188978114,29.8831068763219,28.608164163928844,31.00377137052764,29.56405824931598,33.18366210442887,32.15003631232864,26.50209471527633,29.565717456345713,31.50994126852894,28.525432982749194,26.541756277520044,32.46754975298248,31.66610993241396,26.370148048318075,28.32841215821473,33.139862283999506,31.494268567928707,27.65387443123084,23.180428870115914,27.52255900581427,24.160651154433637,24.96608644170986,19.60244789928825,18.54080418924977,14.641568504922926,14.827973175708914,15.298728211089244,18.374605542809753,17.589439658893927,19.000770061338798,14.859506567025303,18.09141958449357,14.452267120035136,14.324303093197784,17.135411176074854,19.584703079936897,18.507354984809222,13.796041874884327,15.81991259948705,16.15751929614389,11.221322064309286,10.997868633067664,14.933507394375585,15.021564157328488,14.237963135618163,16.46938067836052,18.01209459232637],[18.32328933827182,15.877600359406086,13.7017727206008,8.714151234855628,10.691297537710046,10.666198652747928,10.62418761492009,15.0328961531279,14.059376987296767,14.080510733282814,17.277267596259815,20.36508517161709,18.837293505570408,16.924695569498837,22.14731343249374,23.308588667560834,21.014532463906463,25.180149768011347,26.740481114312466,29.21650377393486,32.157697995482096,35.47777668475889,36.236141361444815,35.053852125747376,32.42347525056267,28.555035673899063,26.59420596396476,23.086345851661356,24.658342066321794,24.911512613681822,28.660113874531167,28.23102717780839,32.09776540292992,35.32437758656064,32.72201438376252,30.489877579418348,29.592009643662568,29.2617388999084,28.440531323381993,33.888841627840534,30.657145476742663,32.15970909492463,36.45259653305062,36.2285603060324,37.984185834058074,37.729142576141584,41.91374434124017,40.4581079628979,36.96598064836459,41.84392453339425,43.43691688134619,43.85337544071662,44.52743072472015,39.53629528470584,43.37080832680852,46.14034840290325,42.38106382409223,41.39386079134375,46.195938075352416,46.2284562789658,42.14405230379822,43.55633716563436,41.580702452800054,43.008207758059875,40.60422331820335,37.05058505681812,34.381180266654155,31.6223878793135,29.07108539827668,27.312561677690066,26.535404483483234,29.20118415144382,30.93316822053366,33.791054721689065,33.24633169005219,39.608622687807106,37.88618068326047,40.899790316867865,39.539748465196894,40.370457943200684,38.28725370937587,37.34895092002864,35.914097310777564,35.52005913198686,32.30197597333072,31.551158587897383,33.38727450032867,34.65025769412709,34.3038026190796,37.82507219428256,35.53353564363219,38.65965793521437,35.500118778025126,33.69083576912816,28.95702556766134,29.807660348331517,25.485235719925665,27.96220937597769,25.610258093851876,27.916356881683825,28.424101030782733,27.79083993255891,28.658164161877178,26.985467206198557,29.572431361272034,25.03650592331226,27.818392945857163,26.578616668719363,22.867857178284776,22.85170202994014,18.41546628254341,17.611323611820815,14.381459089041126,13.912960514707386,14.630870795868978,14.126919823044675,17.916319871931137,18.08685976441984,23.038391648361895,21.71648250393377,18.803178238987094,15.956223607565585,12.761289724192165,10.616752649501246,8.966586254925115,10.880260641714274,12.088571755298775,14.900296748460018,18.10251227304631,22.698626902798683,21.694339891195693,26.281265218381808,26.649109381654863,27.72716840115141,23.367437722957103,19.56567277218569,17.847311314285594,15.298176950359059,13.588314433533126,16.78087650250466,18.425107304463747,23.202298663575203,22.469569551804913,20.23148337357303,23.76134914317736,22.486296963070362,19.331838038943797,19.155871309614753,19.063269117913354,17.10295547914094,19.504127081082455,19.83610941492981,24.561147869956173,25.407250354183827,25.699943010546647,25.459974565884792,22.822102343637194,23.203945622357327,23.21303454635627,22.545779004433346,21.3280414468575,24.10987090141679,21.51592131431612,26.163724828003,26.22380042567994,23.394404361749324,26.019308151164473,27.680055064633205,25.054873021326998,21.537776452781884,21.96243902638857,20.178775196488672,24.169535131819476,25.56301898164069,26.940791363465237,28.482421590483057,27.274058616363188,32.529580328313116,31.39721266315308,32.2022957834431,29.82528244850345,26.903766880784534,30.676049465120016,32.67118887658384,29.826448087745067,32.59304842488722,31.719893903604447,35.88464093779526,33.39700556093564,35.06482229951367,34.81518295839662,32.31315858196171,31.439049100026725,29.250173888371243,29.50283729486247,29.56591523822731,25.072800326139124,26.496228668102983,24.322175168815168,23.270706279378103,26.897525195140464,26.108194647599692,21.973989551189486,23.023354337912863,26.56398200681651,23.205639266327257,19.34019588520009,24.318590011294933,27.244990432622348,21.886860886468256,22.95203468784374,26.72522213030033,24.811862239050562,22.09506652369441,25.990498370665048,24.37657658511726,29.94344820663167,27.93902840391592,27.950328118458533,31.70267861159202,35.413078024511165,39.43152543053684,40.47152179939732,40.558253689793894,38.88989958797748,40.77472696873828,37.65830844330206,40.96239361562638,40.2180580883248,33.96425162655983,35.77264694039377,38.722040368337005,34.8942231893019,32.20685910725272,34.80721359099903,35.08100011935698,31.038732399808264,29.10499905355777,27.188555645353553,29.376827048266033,32.86684855470498,32.824956605686324,34.84601098819658,37.9364262799305,34.62055454124553,31.140053904713845,33.79475202449131,34.80636491782196,29.751901116823106,29.44474433366239,32.53016280101435,30.989484753157715,28.042740482977337,32.725795042786636,33.73070440539139,29.791499946789962,30.908355961185066,34.68849468624404,32.98966431966215,35.10987734989505,33.32065308403952,36.56244688513972,35.78891188317401,30.005663678089316,32.46375303324308,34.29986403939572,31.40413339124532,28.77963286696308,34.4507502055018,33.632928194985524,28.13685426966417,29.48516373310094,34.25717355450042,32.61615389579671,28.628389180425476,24.37155282523415,28.133422460221144,24.846214275535974,26.777393385152443,21.556499789681855,21.207338810396877,18.208352787370025,17.06583060717473,16.891919049810557,18.98809344837847,17.964359256194804,20.417058967863216,16.48239602993473,19.305467084127162,15.583064786391025,17.85886641578521,20.66729278695361,23.716013011765757,22.756552589321,18.027351211459457,20.851809130178204,21.568779641935294,16.23844985019313,16.521099698884594,20.714506553318774,20.978822210952234,20.10837757179301,22.123161226998928,23.36488753163196],[15.375476132349846,13.365164553664941,12.63359352853454,7.570233027784385,12.044231139172417,11.556229328787346,13.029190578104217,17.277527521726572,16.28816658088747,17.306609550879486,20.21477035552239,23.035304654455896,22.41849025326378,20.44392372579188,25.60993848293117,26.99934180499276,25.129852605604384,29.357891841726186,31.07026471805333,33.657405529359686,36.60959049170284,40.01185726729365,40.73372290588647,39.54514517415032,36.9854265424119,33.074519210550264,31.160940801971524,27.59817736324216,28.982314949541834,28.967757526663558,32.4589033160202,31.894268445443267,35.561356795991834,39.043707561790406,36.643806335555006,34.645526210893074,33.65193617905065,33.67412002625083,32.934182878783616,38.34648452843701,35.220551278728905,36.73266958235598,41.021908829201976,40.79812450401542,42.55000827151256,42.22096423251759,46.41670118890767,45.007718434791634,41.44686842954368,46.25437545348511,47.89455230641697,48.228528925234926,48.949286256546536,43.93548313679725,47.74164592779152,50.614560207189704,46.912430949465346,45.858376133968974,50.65846496174875,50.781506801407204,46.68525028871289,47.99622677495523,45.91172248528721,47.38581340021829,45.078758821416514,41.49062985891062,38.698018737646876,35.82825178084587,33.161433011489294,31.14787831530911,30.319311827635595,32.718671516008044,34.605504360870505,37.73265254851775,37.20334372735432,43.57969716256818,42.086309110765136,44.96518399292377,43.74481198667958,44.718303221579916,42.532821145279186,41.68872181729587,40.016441555842334,39.68216368542483,36.60518522614621,35.83003830646999,37.778584591854724,38.79910203635411,38.569994788487136,41.81350202140887,39.48709689979214,42.44407441055323,39.117807032747486,37.13198250708278,32.368872262286,32.86526953936448,28.498078692466997,31.07779547566456,28.538568641945446,30.32248286843215,31.609413978573862,30.654539596880507,32.14129616334057,30.12337372878054,32.923636599529985,28.123284108810626,30.46298463661314,29.22827388028162,25.162744181993677,25.318560149178264,20.75637306589407,20.889505294534054,17.71290512143427,17.975469865452126,18.858464335686595,18.657572309015936,22.41063167580257,22.61226875238994,27.41349148911023,26.000717385008528,22.99058101495191,20.088650164460486,17.14208468134529,15.066998081642529,13.081920437191942,14.983332462871244,14.864662609646665,18.10643212201051,20.953974930441586,25.8272435392453,24.37755808377941,28.863171744384115,29.69814645494752,30.98179944919025,26.79396800094905,23.25397223751731,20.97330218058954,19.18834518755993,17.84613246405446,21.224208424971575,22.795683961416717,27.638018920363542,27.041715004892755,24.818521848124373,28.33164154903889,26.964958691881954,23.79921616673657,23.318653967868702,22.877914752038798,20.467576374914348,22.210948913390254,22.053971410449233,26.48320955988697,26.582305802662052,27.505386238831626,27.848260466223696,25.713897640794013,26.128390898367037,26.728124053499545,26.0035599413056,25.322825351359665,28.376165067260917,25.936860041774448,30.564602323098736,30.500845871027064,27.550066639122125,29.89595908671563,31.372828055721076,28.43218044415373,25.20347970716608,25.628264707551597,24.221782230279878,28.257533774485353,29.631650295244278,31.022913131687044,32.313952494904605,31.19793252580965,36.34004328911757,35.47168962523429,36.07932700698032,33.86045247106398,30.553784904752998,34.30508128494025,36.33986934186421,33.671685886052735,36.76581157941195,36.10154760425,40.20696628585278,37.706271295155545,39.19307240035433,38.731596469624726,36.21250845699832,34.991420740849044,32.56444136385434,32.497801817151675,32.09679743990538,27.46641853141139,28.53823189871651,25.778790813931835,24.94121887911045,27.882594108547668,27.163929307472813,23.124643432622747,23.414994256406658,26.72267818253767,23.308191171819026,18.870138263861868,23.602676097115616,26.648002837410043,20.82746478851549,21.366771095851107,25.089694385389336,23.24464226280833,19.84433037639116,23.540697325332435,22.086396197063138,27.791874445287178,25.90342421959539,26.46077745527183,30.16354242385345,34.20309252608791,37.90537566487247,39.38783222425793,39.934699979277866,38.683568571150374,40.956110709707744,38.26146095860068,41.68765984521907,40.499863734755536,34.3934496437076,36.702261920149134,39.50268502228961,35.3702649967565,33.101955494871426,36.120957303437834,35.84280054245082,31.59418551062526,30.59317671402985,28.152050607394777,31.082618279497076,34.323164947928774,33.86244054261819,36.256323112524825,38.97522455392808,36.110913905109925,32.569967933286826,34.492607897171624,35.63829733389665,30.736307283704498,29.81078196088888,32.6202869991511,31.027187063432454,27.758638470226135,32.206118472543366,33.059611329804135,28.852159237101755,29.710445918920556,33.52959717552016,31.943478551695506,34.513602027376514,33.24565905864051,36.45397758775452,35.05715752687511,29.417201497227673,32.411181814535226,33.75696952385553,30.577115896425088,28.57127762211097,34.206628932070004,32.76275732510257,27.36749614691198,29.42667037853239,33.8624321972178,31.660427004061575,27.689858021632492,23.138772492718374,26.61763182841935,22.849880455233812,24.526797237816588,19.20914665250471,19.504610702043433,16.281616637151494,14.557743569901906,15.247424441376173,17.61547103470677,17.49756729588965,20.268042839183558,17.179463120562932,20.768353825859588,17.64180419048684,18.516116170709918,21.899385792930943,24.463755118362762,23.963578776934792,18.99910721706646,20.738925173010003,21.643473890465206,16.977616510288982,15.702237838071436,19.67752561319516,20.180361269466097,19.515964642163443,21.8412369896183,23.422183497889606],[16.532006165965836,14.691607607584407,14.424696357264441,9.890487719348924,14.537895740796852,14.93066760893532,16.56945234607431,20.889584379217172,19.9733008187895,20.79883707251598,23.683666202834573,26.649557627884512,25.840790099520728,23.664462468170417,28.87206937713027,30.310839079926804,28.162787926892957,32.226978597202304,33.50773590432292,36.23724968456813,38.949382827756125,42.31416444946775,42.80103347593141,41.34479756368986,39.00126780758208,35.17225328628522,33.49392278302162,30.147290608456483,31.880794087511017,32.1650912799115,35.65684580859872,35.310511275606785,39.028353069491224,42.38154781563899,39.92261265001219,37.7287216800136,36.86011104188437,36.494969977101555,35.551434945537984,40.85451351381732,37.419608267827186,39.10049240337029,43.40896840391457,43.023021173619675,44.50639848896755,43.98188705099518,48.219454638456,47.11240160735241,43.47655783927411,48.173426425023955,50.09713651685071,50.53643127494437,51.41355091704049,46.477850369541436,50.47417325093314,53.1812086772684,49.371065928166395,48.55650730687215,53.36057312744771,53.217337300391854,49.150640251460835,50.64014427249859,48.714704091391944,49.923158598451,47.523587706955745,44.11119759269005,41.19019211556277,38.55920169365162,35.65942877857705,33.88395237073638,32.80225426682412,35.06324680886639,37.25474149022307,40.262253937801226,40.05870962585792,46.461922247484,44.96724708469582,48.02463964410409,46.770237225530494,47.61941200440496,45.566724783334145,44.53678003814443,43.05133048859449,42.49359003702735,39.26468701673,38.737152566427326,40.623435788504295,41.92931465883565,41.54664953092532,45.016613205141425,42.60328674765825,45.53351042368473,42.290561773425786,40.451187626679804,35.70092141298887,36.18122040069612,31.818141302596683,34.598435631603756,32.146534727010796,34.01382791061639,35.20300020463049,34.23181799882236,35.573598525386025,33.46611417474606,35.96280382847141,31.10575614325131,33.246786979806245,31.691594006942793,27.622298526320417,28.202747586334983,23.69172038598479,23.895474641556593,21.01991034874921,20.941439598779365,21.918866608865468,21.258499329643158,24.95079364015096,24.61033792741354,29.47898376773259,28.550232642790494,25.402840455561947,22.775493465829154,19.424854799308246,17.75872291504367,16.224067950840602,17.64257057673664,17.886615143872692,20.757000778808205,23.403325375568283,28.306326682471788,26.25589052295097,30.775290758032792,31.46856978418958,33.22925062655078,28.727773255261894,25.432002719235314,22.511258487841754,20.95980608398721,19.534445195882977,23.161099728726164,24.12729875799782,29.046601489819007,28.93050984660095,26.927797163583026,30.622528944381127,29.655163328384937,26.491894384551088,26.39733684452798,26.07324430408245,23.925859505372046,25.685089751134093,25.708013353836417,30.081211130744638,30.1673014516221,31.186171104000863,31.524384984021154,29.348354160245517,29.660711294232755,30.17658220824175,29.22285659043561,28.16178261588652,31.24607007908456,28.317891639373663,32.99379638599199,32.421769760512106,29.007008559938793,31.35664806417824,32.35778490934213,29.330291990399125,26.290094510954194,27.075954103690233,26.053215278091763,30.437080165578852,32.14442071450071,33.8098962702453,35.3399955531994,34.38789013276608,39.51744714954834,38.36956080732477,38.95213233224113,36.3632165633458,33.24618293761084,36.62005957471321,38.406596465785896,35.71047677008456,38.87609845293633,38.32090610717927,42.14628462221146,39.27292861460726,40.78237821381537,40.11683451106235,37.829885512916235,36.3812297286229,33.95792405654044,33.85857750539241,33.23643734169825,28.611136759721578,29.87089692788294,27.037812130340527,26.787384899165076,29.46883333667404,29.23044924311308,25.244525648681133,24.88505548944912,28.349429917611236,25.32089880894356,20.311318882073998,24.835766993004537,28.397773813855103,22.59562522249776,22.576854439038996,26.35551757516014,24.9895422742698,21.095113848929856,24.304721916687456,22.60887246297138,28.43942184320903,25.80136882192779,26.9374164465298,30.76648024646017,34.68175370462666,38.28765004587896,39.834223471461314,40.83679130631577,39.68285448223887,42.139799293551576,39.74402656849569,42.937400921263375,41.408547301567786,35.4837639395092,37.96365077720168,40.33311186397846,36.00100848566657,34.011536054369444,37.04933292253353,36.18240311783375,31.89855510577668,31.355764789417368,29.146387390086826,32.67889915613686,35.870605298063396,35.60142485821371,38.29188909506077,41.09373884298614,38.50328179076267,34.84426011379983,36.582975684125586,38.0620208731137,33.279245795186846,31.99415973841985,34.92405112528592,33.510287763101886,29.985199664030702,34.17021297120729,35.19237625693798,31.02202970879832,31.42349483874933,35.13526778936697,33.37721183909766,36.053230984213435,34.958158608831845,37.881331695867225,36.21462874758513,30.679904677443567,33.652437376718964,34.56717014007548,31.29201766738708,29.397357003839268,34.76183493534943,32.88328084643056,27.55567159590085,29.738538847273485,33.82362998023747,31.253826418787035,27.29545357299198,22.787613386032497,25.618119107968667,21.654648819181254,23.778648901493167,18.681536592497128,19.828283552345074,17.15783753048072,14.399424631672906,15.247287125061945,17.0694059593623,17.503159963689406,20.938259433725843,18.702426043937457,22.46558987995414,19.84727886833841,20.90455043843399,24.597625350955035,27.10226246986934,27.0329537594414,21.94854808965618,23.37229188033053,24.65299590850655,20.2739697463114,18.322306218561234,22.242770766760874,23.096695389519475,22.612656094926873,25.009998360339374,26.663254389514734],[17.678697023627286,16.755170523007923,17.907525782392675,13.675841984391564,19.065193763124213,18.45524499254002,20.340116168933818,24.34230499305009,22.77964223140913,23.81919551043194,26.21061515166883,29.232019227382274,29.073431910328733,26.407615322976334,31.490609523087354,33.337584146903545,31.489612987100266,35.41286773587974,36.66519514621145,39.75990462331142,42.33266350411315,45.95626194818541,46.25193237926675,44.84540971085722,42.74460132129996,38.74208632471064,37.35349806280454,33.9303488992733,35.50832422293274,35.76057684980345,38.573648256389,38.571192819425995,41.99029141105239,45.41273259235919,43.308809197547696,41.21542778795819,40.636215234443306,40.467275994532265,39.76152624530286,45.29927636209725,41.7529199106764,43.07304634244215,47.47178941990294,47.287918751624524,48.73288535920409,48.365325149764764,52.57428681706172,51.449282322289214,47.99598819282717,52.79385918541403,54.64557029157493,55.17945277253151,55.922129593638374,50.953436707223204,54.80798039477472,57.4810109318311,53.58786357728271,52.6150352287185,57.38389416742794,57.27932015091838,52.99701487922328,54.2039670597141,52.13035901058078,53.17356713434394,51.01204612257212,47.65547475893076,44.295673538350634,41.615041400580466,38.36992723058762,36.358090104558855,35.07326381771589,36.87897738018298,39.39470845341109,42.693356226323445,42.754143844915895,49.16318241857673,48.141379167741256,51.152668681817985,50.234718988152665,51.37517306702548,49.50248456197644,48.77537458687465,47.34048603008796,47.028108853139955,43.81468948015333,43.00698957690031,44.64699221103262,45.802693677268884,45.1272016394525,48.301288925550224,45.61306011100297,48.17358524478011,44.81394918471092,42.98061776829756,38.26572669876135,38.27992099288219,33.94951349649505,37.22799549099901,34.895696680281425,36.713823097318965,38.474465642957576,37.80039400419984,39.45530143244593,37.589315927513134,40.484186514311055,35.65038357732907,37.827804175587886,36.472319869464016,32.3075791670456,32.67192693531059,28.10777605616934,28.447768898449464,25.22158277795918,25.369990485636233,25.783929445693907,25.258732589254997,28.67165987377354,28.335868879237285,32.70341743180252,31.721379753326286,28.389488748869116,25.85636933354411,22.86514088574525,21.547018244509626,20.186346031383827,22.305484134291532,22.384035517150032,25.559335824376767,28.262263220918342,33.189243352892504,31.268248071151298,35.74318020289825,36.548878145802234,38.219509111055075,33.80033288959941,30.428759627215516,27.616689157721204,25.940443639817794,24.27310920063766,27.766770432380373,28.336271260048377,33.16501258248267,32.94968751703581,31.17897266934478,34.91646541556371,33.79966004189264,30.715374628635487,30.509621904907423,30.31871660530112,27.797885239493635,29.53876889534748,28.899927066180457,33.23250711800947,32.54093158895606,33.67646292814633,34.577012387039005,32.64558514777225,33.389562375698546,33.98060964957562,33.53538001634695,32.766196834378086,35.60916638993074,32.91235723089491,37.58994853550934,37.232872505658364,33.807295126216076,36.340884638838894,37.26249000059251,34.3115449757529,31.2389712223458,32.12147633222426,30.996626639771847,35.34099805844869,36.94392518461877,38.42373063070009,39.82294542745616,38.56430923066055,43.795263570450174,42.880654871756796,43.57887235003636,41.18619660912101,38.04123059452812,41.598779435897654,43.45010276829119,40.72797641130159,43.75997364390683,43.014882704368695,46.92270429082147,43.969852296615805,45.667911754461805,45.07019287245022,42.83801180838515,41.45344681176229,39.056686848420334,38.94980721905012,38.260533521472816,33.62951382279605,34.784435157593954,31.7688746039748,31.483384376201826,33.86630807330052,33.49201397403652,29.60201515303167,29.04353101199974,32.208922819841135,29.03366207500167,24.021464083486677,28.227505432301893,31.54683095559758,25.496657799063833,25.198498808999197,28.702600480604236,27.170879453122424,22.916221929719534,25.89716497740933,24.624411150607084,30.318696597831952,28.102646479285,29.7126998389727,33.334662916505664,37.529035691498045,40.7327182734176,42.71342044857609,44.04539820116808,43.251012707928865,45.94337621516643,43.800512746806994,47.108877940005065,45.351999488726,39.56853954452997,42.307093854142444,44.62204412231381,40.163281254423964,38.42497723609811,41.64401939043399,40.49984410507892,36.15939569513343,36.07962192326705,33.65085824995209,37.40289551634931,40.46279899106752,39.90466492613351,42.67952853792556,45.18038585480857,42.75468159635727,39.157306843903285,40.486647638905765,41.83850941952,37.14934706521807,35.65715246036246,38.2018494055813,36.61200068224097,33.07439073114234,37.105929884128955,37.799776030858176,33.383598355361144,33.83825086974592,37.56771941495993,36.08930832249875,39.12567947537649,38.45553160694106,41.425215889091554,39.31685913196791,33.99994540639296,37.37490652578362,37.97507947876655,34.53744659570978,33.18057658291452,38.44923704299236,36.125204253556475,31.011961361395304,33.66373531224751,37.42203548895142,34.43518684485786,30.596752839018926,26.00900229361361,28.37192740156708,24.06611315894495,25.90714329864899,21.00820133006146,22.741797601466565,19.89284763935359,16.914221161843983,18.573413343944754,20.459968207501202,21.55783658513554,25.02720192752794,23.194105589267593,27.173982242957468,24.636129748214053,24.931623626481375,28.664089314803917,30.832898391165145,30.673023210651284,25.699021772171506,26.501242131941606,27.441051109726747,23.470037524903052,21.049237936598345,24.42523841008836,24.919754108639573,24.30982114389059,26.71647136701304,28.43413540883047],[16.008171209241024,14.677237517562371,15.574411949790036,12.397542569807372,17.55213885392296,18.54950399986063,20.980310117586694,25.19257886335636,24.719521970151156,26.03056767347751,28.9217786817416,31.636063804281818,31.104008847022186,29.123389933483146,34.30864897588257,35.700561961361366,33.62204743237672,37.7351329892708,38.97435714790533,41.63035802559077,44.31802542226826,47.57032949724997,48.02574717617329,46.41231038766236,44.10167370909205,40.39959914577093,38.69925811231919,35.45628604854887,37.259948047087434,37.4606671128791,41.12138165282725,40.54782509225143,44.267691853650746,47.738974080760435,45.23331169192826,43.1074722660005,42.03558914727776,41.69306627703731,40.58716760170172,45.64225625142599,42.24633912690621,44.23159999831872,48.475789102525155,47.88350746854881,49.24728414440017,48.455074782761656,52.7160959349691,51.82774355546873,47.990623057761624,52.46737427006147,54.61860760007534,54.97656218706912,56.06653494220069,51.18450749234083,55.324150085622826,58.06945358552123,54.32171221272465,53.663087038945804,58.4834456474932,58.26643803567957,54.347366428839074,55.99838933983114,54.142744159774914,55.36176315706839,52.87016866774188,49.48577425786601,46.663760305152195,44.08216557152488,41.194498133203915,39.45018826216296,38.34077699723403,40.53707535893999,42.801702363882335,45.80891580655157,45.61905412308112,52.01731239576216,50.46110891323876,53.4991341266954,52.15970961688238,52.90424432027993,50.71162166298193,49.49363707031765,47.84742386920947,47.08252908332259,43.91726802779195,43.66112178374561,45.77060190751514,47.07620562813615,46.90987051406294,50.40047301791263,48.085017254205,51.054160622752526,47.77765967680411,45.85071587074747,41.090999142057534,41.51540159040759,37.146267411228635,39.78122458885465,37.15941157047623,38.59946832251212,40.08804978219108,38.64488759105823,40.273127345097514,37.67976785757498,39.94497742345568,34.87118112486075,36.43678706103294,34.62572911484672,30.39638033893731,31.470074921366447,27.06185594731333,27.978693813001527,25.544599730565405,25.730761619171457,27.18675800088336,26.522059889847565,30.31148079525703,29.80945065504403,34.82466616161045,34.0507878153415,30.916262622513646,28.31788755544033,24.857983884348677,23.15233862366351,21.43719385303774,22.284943321414563,21.851553692833548,24.584629506266005,26.722174446518586,31.713621651636814,28.946880265871457,33.25876301215695,34.24891979978394,36.46914133118778,32.023768155970814,29.198080297310085,25.55355403217319,24.878747800568895,23.91162156528122,27.75392308540915,28.674487881000328,33.632590516992195,33.893114705588005,31.865403906047515,35.56087104633861,34.77308453373887,31.569051846846968,31.445422962993014,30.81236295794029,28.674610057303468,29.89240919215571,29.99334957035536,33.981864439448934,33.842809739615895,35.39891735432831,35.91436559224996,34.04886829872194,34.073403829442825,35.004766258218304,33.59865145164141,32.65964410249583,36.11515018386609,32.99506804061102,37.63528960570831,36.59832103939255,32.93028214152254,34.85504306167451,35.478687355083736,32.12919177563025,29.578225961693928,30.435490383077596,30.0033158482522,34.52179394436103,36.404743588206664,38.30817163156394,39.791695161200494,39.19640271802318,44.12778867753159,42.95095689606172,43.25900551700553,40.535065762651534,37.19813148734635,40.20987789720171,41.845569827535606,39.36166974269282,42.930704882746326,42.75356750299928,46.30341503601144,43.31449170373419,44.51467272734911,43.49208160938442,41.307367738848605,39.37127579408569,36.74019946476949,36.303373080252285,35.1368082195743,30.539698822574238,31.553056443757928,28.307353017432987,28.651785535372664,30.523963977380692,30.7556922838903,27.042276099538146,25.63959017818361,28.925058773740105,26.37399314928613,20.79132321050758,24.66422497650682,28.654806365981873,22.93554404671461,22.0383979366688,25.65471022623208,24.968734234342758,20.438287805073138,22.776349406624984,20.954255817211713,26.712733701971825,23.468560514763467,25.45107538271408,29.223752059275153,33.100178584198744,36.33985057109731,38.18021916703394,39.87042248194788,39.103206124864414,41.93701343036651,40.145498242363146,43.16629446936599,41.06312068305843,35.53518633259315,38.46185408628937,40.33570205817346,35.72331037014584,34.326942433011396,37.63812323511812,35.942055408507635,31.597208434576704,32.16230896166201,29.750318820754273,34.174024776885176,37.048147508468396,36.630965846516546,39.78465432857366,42.35278459757387,40.38362211696759,36.649752716201505,37.688445136877355,39.5668306944603,35.111087199833655,33.118276869116464,35.95449731916814,34.77007118476115,30.883068099948566,34.51863300127051,35.65476408642807,31.549739874451905,31.249847667875926,34.7430822369514,32.88752146602512,35.84051838418072,35.250815211170455,37.79903726526489,35.53052595372338,30.353508221180377,33.54739707320523,33.72270338402746,30.278328836547054,28.977501150064413,33.90819629065417,31.278048300607864,26.28306392682181,29.01714554643702,32.43447626925222,29.23628317249325,25.45685159588093,20.988734443199686,22.94154237400405,18.62826112405466,20.80338010960151,16.17553035764905,18.501809565144313,16.530533046284408,12.660687105485598,14.173605330725138,15.508511763678314,17.093857205855507,20.928269032278685,20.147611393878297,24.28799676776133,22.613845798557477,22.89584230503131,27.027302123751547,29.10581483595627,29.79258836307849,24.639008415250853,25.125252017704856,26.94810663057804,23.4106511384582,20.116571555091454,23.68465821580848,25.16887156834527,25.109109301239204,27.656272748762362,29.51539301915478],[19.440976838843522,18.635619487069125,20.07780307074892,16.996619609570214,22.209795371693613,22.987769974359068,25.323332969063348,29.506235378454683,28.640747469375555,29.77573626263004,32.451753799457194,35.37231781337309,34.91297363649694,32.521401776414585,37.69221092164055,39.317888759952744,37.15994501522691,41.07923743565955,41.99927881149652,44.946815747628136,47.38545470194653,50.754743958987845,50.937489980815755,49.183017806776654,47.1640325546885,43.423463613372924,42.05207207514755,38.90978580141781,40.86695625093248,41.29008017740854,44.59342286113447,44.4032865903961,48.030145410681996,51.40809328032383,49.034384598091656,46.78676820436615,46.00147639785823,45.45866425644888,44.36312609173429,49.51394880080896,45.822787534230024,47.67032265256121,51.982118131651546,51.419574822066245,52.5781246892998,51.78182417111992,56.036713086508875,55.33116075428729,51.59198201339779,56.07333695131354,58.35318020983089,58.86958270136927,59.959780594986235,55.11668893566295,59.291352220690555,61.8717449439334,57.983296489743545,57.398645543143125,62.19556412914556,61.7989785323772,57.764917988329536,59.37698768152526,57.55907212599281,58.48066232619364,56.058524489014665,52.83754075629948,49.6828903773199,47.2528067070967,44.02992744470267,42.35076615745018,40.97276730595636,42.86193380497301,45.47887658932796,48.52077284802541,48.703580903605015,55.11859319603492,53.80607427694011,56.968531838815665,55.78680992014572,56.60307674424555,54.64045760408156,53.477311388257775,52.04724554938475,51.28964763511921,47.997798771598724,47.71429329276542,49.592863669172296,51.04551739639487,50.55968378029628,54.08121384798168,51.539087962191054,54.302373085388886,51.04515853064692,49.25687503022206,44.52125546193467,44.73677375901627,40.38635103766124,43.43620885395269,40.974951263041724,42.586421019367755,44.18152546999421,43.005563316520416,44.59268167226982,42.193790646913094,44.50138527862425,39.469246272359435,41.08653428890898,39.22278167639194,35.02505173974079,36.13036691809446,31.713821140006754,32.49825990728686,29.934759196265183,29.928585246282307,31.033510315416382,30.148264077969525,33.729928197082025,32.91386625555071,37.66350104126325,37.1714787180383,33.870286018164855,31.49881273215237,27.997087114188627,26.706541401034954,25.369137958886746,26.461527335017585,26.40019020479638,29.091457366436842,31.280885744281004,36.24046645109657,33.35834004768069,37.683835659180424,38.51980892030554,40.901479386224864,36.28015919288924,33.47108785414882,29.710115467941723,28.86823373925356,27.601768270042186,31.428567158621565,31.739170941237496,36.63022958168522,37.09099240930136,35.35275151117001,39.17879198757987,38.5538918098467,35.4047431365359,35.49635614545619,35.09928000504865,32.947825570431945,34.35373709203461,34.24532000441071,38.31363726012016,37.87815936780783,39.38995396156149,40.105135775575285,38.21827813152033,38.4636940344671,39.24323180237971,38.05713005548249,36.9543771369638,40.200633826473656,36.90922971016401,41.5801563484992,40.41067607554177,36.49526441155414,38.6165239818748,38.92340913981353,35.688763711170154,33.172947352445554,34.3155688463509,33.940376259675844,38.6143964594357,40.62893875354268,42.56695104984476,44.1761845153609,43.44415254394921,48.48186071626871,47.21552812023393,47.64314488097846,44.77857407976765,41.64449994537022,44.56201477789599,46.0728185416338,43.50532237280254,46.92728311598703,46.632500699725355,50.06517426572474,46.78565312794582,48.17797598857947,47.12908925470521,45.14917057491269,43.21962329063896,40.694272577075274,40.33156028554924,39.12492120229474,34.60038395302703,35.7647710256792,32.55736520175927,33.146039196431346,34.88085117089484,35.271997556478155,31.618762056131317,29.985952200029384,33.215936555635146,30.7997993272154,25.13548658553326,28.737225856269507,32.78295807175771,27.085774270063418,25.904581796596506,29.333587672027168,28.784047803012882,24.038441791074245,25.96688853600043,24.27922153243327,29.83952953432872,26.4108711628537,28.889758573180117,32.55018948315645,36.366267386585015,39.31112885873551,41.3392043476524,43.42087550913948,42.84190304214408,45.82093602052014,44.28055474930552,47.16841597416699,44.826266800256505,39.516241847701934,42.55219813490152,44.129123160823,39.4281797870884,38.272867883972175,41.55868791644541,39.453869505454904,35.164094946626236,36.05084872799131,33.83243327252106,38.51330134460386,41.33400868899992,40.974863981587326,44.24326367389445,46.77174139158064,44.94325276587574,41.19962482989185,42.08160028502087,44.030395132021695,39.653827071290955,37.51421492267953,40.24570698890269,39.06234216083589,35.12697135722746,38.57631022263506,39.636068243492005,35.483827642230914,35.04073664441068,38.44410189325976,36.64871229098188,39.747999942197076,39.39148792832017,41.78701783679296,39.255922763770855,34.296354544001254,37.549345542085625,37.38189901390538,33.89750627625632,32.85236172254483,37.485639926280726,34.47787770926175,29.73919432128644,32.597598027809696,35.59116849388268,32.06419954387305,28.460986174791035,24.204091130517643,25.349424995920415,20.9702607820399,23.2992596381968,19.249449116581406,22.193416437248022,20.52264498106654,16.374686907709606,18.10632966047351,18.995732038573166,20.97286285562781,25.014008779538738,24.655248056056056,28.780466646190558,27.216314099443714,27.511227061665533,31.66816796932235,33.66016577177829,34.35973594753605,29.234578569235126,29.520654123071925,31.24496990209459,27.82487251966381,24.399315440535425,27.7130700654194,29.04992343669905,28.916371939330787,31.438853260034524,33.28600409386102],[16.4164276377678,16.298282491027283,18.85726726332176,16.358257338033606,22.16854449687355,22.229868422470698,25.133100252564972,28.97603698727264,28.210485769632676,30.03338587448722,32.55641995177816,35.07718074102205,35.318662854704506,33.17438792357812,38.22983406449085,39.88903879531498,38.236253161199976,42.376724460624146,43.82984701786275,46.667039226421565,49.389320676653654,52.82919024137225,53.25995422861064,51.75621128489499,49.512107460681605,45.66387955849991,44.027577059696014,40.62883747055669,42.160955585155236,42.11826626875926,45.33812570253517,44.776953641206276,48.221106426889754,51.90293825626864,49.69670600467104,47.80949026298478,46.7771332807468,46.83961449341133,45.95380738547092,51.15839604770954,47.86299873132981,49.63013388178285,53.9240839961487,53.48439488218658,54.92658301736777,54.23652074828813,58.48615492916202,57.50728604913795,53.73689105264292,58.27055702134153,60.320577804014825,60.63426840999358,61.633953793362636,56.68660695421256,60.68586968120438,63.53769984329317,59.815073935161394,58.956950704163354,63.76687540681414,63.7151467920793,59.66804836063704,61.070070101751476,59.022464211538434,60.28598412240275,57.9889464876739,54.54145042222596,51.48715954066139,48.73593903582932,45.709326570993404,43.64620685128146,42.50868943652576,44.40017417454918,46.7826399140914,50.10514358664849,49.932234454365336,56.327961384557426,55.12212549871446,58.00041090813519,56.90912243602104,57.91563122656365,55.69728130320151,54.73756604915167,52.913661051927406,52.374001700258354,49.34305902431962,48.8539346161372,50.93431921635418,51.9408124220859,51.757014386192374,54.87920145669473,52.44892680877103,55.15633299676691,51.70833814825705,49.638969434062574,44.8977807334451,44.919318795183536,40.58127092369024,43.401309334226994,40.72819809571655,41.8055686785967,44.00873976009148,42.540314389766536,44.687441747353084,42.06852093651059,44.72389823341122,39.57821927508271,40.96810562161827,39.39086440009234,35.003274187056554,35.90096841456795,31.487894704283917,32.842619464784406,30.18708647925409,30.845757099689735,32.06110644550248,31.714103143418882,35.41604540345173,35.120664844797005,39.84746038551769,38.834893617604486,35.61488038789615,32.93474294045289,29.841635516565287,28.152812997635788,26.268397268036775,27.620977919695765,26.598026941711726,29.70420423434957,31.76333240382369,36.8112847187412,34.14279468751382,38.2896410031296,39.624166920711865,41.71899757674036,37.54798412864229,34.73075947188207,31.174302158959748,30.638348394010336,29.690581371804107,33.465294697161994,34.398766465435,39.33753948632809,39.432247210067885,37.42595773065815,41.093884329135996,40.046933447813984,36.8552122157774,36.42128204304843,35.66942501645163,33.09545074105642,33.993559512126694,33.49738398927763,37.222780167042366,36.28475473970393,38.21908317700255,39.31598072061761,37.87316578566852,38.14273483221492,39.42046057605603,38.309473430301956,37.88671437149556,41.34033111517965,38.56205883247616,43.19793532810827,42.3889271664011,38.82642344869771,40.710958252292606,41.37866561855868,37.964524122000924,35.47871947792228,36.24497106963429,35.7805562976775,40.17318122830203,41.87620436959331,43.59993658707267,44.81115371914768,44.06174404846867,48.97959555910931,48.15298353208877,48.41831127242243,46.00506200959925,42.39759359472503,45.608965533828446,47.38014144716041,44.99547253229844,48.644275388984866,48.445923243420786,52.11079457078976,49.208972670675415,50.39330340926,49.3582705372512,47.11279658422917,45.10902178680539,42.377607316196496,41.77715589826709,40.404389584359855,35.814107037738474,36.48301039045378,32.918952441363245,33.167448899252115,34.475988924423206,34.530922969510875,31.058413644454486,29.33235073874239,32.08003468565545,29.45156460759966,24.018642212950358,27.261718632542422,30.84611361050337,25.034317505810264,23.714131105205414,26.81609340815739,26.094828523065583,21.231351899582656,23.017557533702345,21.80581888131833,27.126610817181547,24.608770897742794,27.14212741597456,30.485128321123916,34.66336020263701,37.273282849579815,39.69179236901391,41.80602576620489,41.58744005066626,44.73574058099979,43.37212302046815,46.54397795370554,44.12103723494489,38.89527664637645,42.19580434512279,44.01483070438779,39.295539503143814,38.30439926904403,41.9093056155498,39.9031102968514,35.53660053427948,36.82892144497556,33.959597638458106,38.64575734052775,41.2305854638766,40.32456975509322,43.614832545517594,45.68396813045815,44.079834859448646,40.455538657540714,40.79918277766224,42.56716995315806,38.35970549845259,35.99202586451652,38.29092644791443,36.979409379056406,33.06620578041963,36.33004496878886,37.09068737900081,32.81585719279696,32.41617192444579,35.80980544593144,34.3188221663352,37.704668458781654,37.74502254101234,40.277257803952764,37.398242856153054,32.66270935836346,36.36843868807561,36.07935535765167,32.483457281186126,32.02909788283503,36.73300771296125,33.5503268513377,29.02115851517042,32.412307670094116,35.31591498015931,31.643341454253406,28.172123558830503,23.735519395004346,25.134897279903573,20.569656463808062,21.963642365476733,17.88094611275961,20.76127172629829,18.69287205027798,14.952030689165493,17.439320547317973,18.938510730280157,21.255728223918506,24.76662980815386,24.540702128351455,28.911561511380633,27.470368641687813,26.60390448252995,30.779579287503307,32.320915393788816,33.10800138095147,28.139440016411005,27.700283691125033,29.29283505644952,26.515567536142612,22.471102865660136,25.264100284641792,26.5993811070043,26.612337953929696,29.167440656848463,31.145468634157293],[18.981937366323788,18.94199078640438,21.32411851029237,17.880055635488294,23.73663179373,22.897987953416994,25.2700045239174,29.027771055342427,27.422827009554226,28.868391674150438,31.004604167240224,33.83871080283623,34.21511434413877,31.484084600242568,36.43766931134714,38.44915849283267,36.85856307393278,40.759562060687685,42.055485399548665,45.26825545430034,47.79854605397571,51.50530588303742,51.72422719250554,50.30809154053547,48.314529604487134,44.27473459225508,42.97534365567024,39.52817130136228,41.00200635755535,41.129055531888106,43.67074412877096,43.674394906329006,46.90452178572108,50.45580437298028,48.54359652362234,46.591591956115025,46.023328006594404,46.05243638286448,45.41803916040843,50.97307843490267,47.441642186829725,48.714083610151356,53.12813797274521,52.96767012982726,54.37801565587119,53.980587296709395,58.189520806081866,57.119117137290246,53.65758170191372,58.4197907823651,60.31300100192994,60.827634074037725,61.58564158753649,56.60271455540715,60.43023327539272,63.142224946383585,59.256527011033256,58.23448069831813,62.9929621811414,62.92478971546526,58.59612305965491,59.69859617989643,57.545068658049836,58.55509385216352,56.497911466401106,53.15354590432535,49.63512413751664,46.91214704444183,43.54253541662338,41.38055284941561,40.028801110174705,41.557825223458046,44.21950019797452,47.69289399052036,47.84225853337592,54.22433056119451,53.44417869680832,56.37212539727716,55.60830956890187,56.88074628929748,54.997487574461694,54.3706398114632,52.82594831335567,52.5757147797193,49.43228936231949,48.57787713885292,50.229936861953725,51.242633507734816,50.56532121923428,53.53042931419358,50.76800703274797,53.13349067817055,49.67945132604476,47.77131409967888,43.094173077122385,42.81019935368575,38.532970320455505,41.93117894066417,39.55879903456392,41.055270124633346,43.334254544191985,42.54744805463474,44.57293868741938,42.57340843804722,45.615411694474425,40.67322667069135,42.585718871954136,41.2593358832642,36.95153804800681,37.392055617159514,32.84784787301876,33.63086490878212,30.42664537989046,30.876436240558625,31.296312709579944,30.9024079248392,34.26421340175801,33.93495339916214,38.135024365232645,37.12738513393223,33.7496250794102,31.239620167270914,28.418357705563782,27.15147735350286,25.688904039746436,27.85389889973304,27.455714118924593,30.766152358653095,33.27594398310646,38.27841745705494,36.142735985327995,40.4921126428971,41.54929143263021,43.33683134077947,39.030762392171106,35.808415523892,32.758203426657694,31.42260693287007,29.88566178945446,33.43287949483805,33.91111461575897,38.72932079239882,38.58722196040143,36.8659109919235,40.60643896112967,39.440068442274345,36.36031807370515,36.01509998421106,35.691583771366,32.9491176591682,34.36445151443187,33.39936454619182,37.45893469457042,36.189883732444514,37.6949912921976,39.017633520685266,37.426816864968245,38.24746042278711,39.13637104965754,38.736013384011834,38.25125964674374,41.18727794513621,38.576896420846765,43.249754763321434,42.836883422222236,39.333419796880875,41.743013793873224,42.51625708635776,39.43172473931563,36.546570317468706,37.45269547110579,36.51625354726245,40.88090700356511,42.473230972208185,43.944509023149976,45.20488357297261,43.95450802024293,49.1313566519524,48.38481802967294,48.993855924282926,46.69780550861748,43.36455341867189,46.90493550188767,48.76485015957091,46.14039994134292,49.327441711422665,48.67069536596397,52.53699916392426,49.540435402171056,51.16742718279907,50.44342441111931,48.24147052693772,46.66140806486631,44.153348318669785,43.865368367568855,42.8867872576875,38.25509813270402,39.18659477607491,35.86908570503876,35.76240182802533,37.592164574918066,37.29733468911867,33.613483370668895,32.52510390169354,35.360985568944166,32.308451404156465,27.173118326332393,30.826283609416375,34.06668104031604,28.004348429255078,27.181875041057584,30.31912818068006,28.985622892018622,24.361725711229592,26.711122606265732,25.771883520214487,31.140072427794195,29.135694263374788,31.35218776530114,34.7005819947715,39.03141448286672,41.72918349599758,44.1444108735685,45.973142712135605,45.62541651007392,48.62710844328836,46.93483299967639,50.256867330249925,48.11335608315114,42.63545862024887,45.73153346169251,47.82394127330786,43.19821212568428,41.88576757210628,45.34916687314083,43.71684192947132,39.3408076249739,40.02646397493368,37.32249578237555,41.54463765401712,44.358208577844636,43.504295257726696,46.51836670757159,48.67488871704796,46.65440369310539,43.08513324941127,43.80405862416868,45.22580562002674,40.77929078008641,38.845879383512404,41.04926741448294,39.45466082832356,35.79402093702936,39.424408250031405,39.9201306701231,35.42527488322571,35.60504914855147,39.193729416313346,37.91022315870628,41.289122227978574,41.15254989324138,43.98090531351888,41.31806866151883,36.38237192244948,40.108393869971096,40.18641671512006,36.61094289347567,35.913700968754085,40.8945746116419,37.99254222130165,33.2576350381642,36.43489394373165,39.66500483570097,36.18806516407062,32.58820206222651,28.05899966153845,29.75443908908847,25.2234216681167,26.70776784928916,22.333507232123427,24.769781646255513,22.13710533501616,18.859280715195997,21.18696312729616,22.935729448582634,24.78773678840681,28.282939165395685,27.23109502978702,31.468161994258278,29.357760995120202,28.844968991236193,32.752961623169966,34.49527785520987,34.62672692663412,29.73500100642644,29.725326150552334,30.687054017177044,27.428444288031876,24.176851316681127,26.96262850203585,27.525924796780476,27.074663712435285,29.504106165757452,31.327712541550987],[13.227028256199802,13.050408545549791,15.701624649390522,12.850634107352047,18.94731937861736,18.252922074278494,21.229672549214115,24.89284938127002,24.053429999493435,26.140585740040017,28.587647141324897,30.928959448073424,31.46425628852341,29.47377018754119,34.44196291469363,36.08947608586856,34.73288291970609,38.99029531552579,40.82250028812638,43.55568058078388,46.4834258174916,49.974589220349586,50.610520582489634,49.35340893751172,46.92305590644336,42.98576780763829,41.15856458321799,37.571174176698435,38.7831747709413,38.463586955183246,41.61089628934864,40.8669210807202,44.21542793479456,48.022856073168654,45.91243275400588,44.22976170969026,43.10061641119576,43.53863322720143,42.852664649962136,48.16184547810015,45.14141969675052,46.73628260278844,51.01676972562933,50.739004288861494,52.42777618550042,51.9282532011439,56.14958872367769,54.88275992139548,51.18886899374074,55.841588771553276,57.621598292202926,57.83549246995823,58.67673316718464,53.65299602406757,57.46591671895765,60.472069267312285,56.84826288782229,55.752557043949416,60.55229061749324,60.76053364079473,56.67168021790509,57.8837355474692,55.67589325236223,57.18022689635405,54.9889438629847,51.38368597233375,48.4206491535266,45.44865386290869,42.6121035656195,40.3139735279533,39.38837810250871,41.36798957167226,43.49763922801235,46.95454422910324,46.49743853842426,52.859632721785445,51.69178439449131,54.38717159010221,53.3563289349276,54.500198865754136,52.16920261726553,51.40754520139195,49.407171027154604,49.09239662772295,46.21235548958818,45.48165061644457,47.60421628346024,48.32665229475344,48.27277925919583,51.14471552635636,48.78484128663014,51.4801559682676,47.9473591363646,45.73728200079966,41.00374709894291,40.98615558583035,36.661939680167336,39.323551108434785,36.57730054907521,37.51436957779151,39.903886338818396,38.44580278713994,40.78510730527309,38.24541813068884,41.20946521684834,36.10524009198472,37.64619821437207,36.37488842526788,31.94801091837907,32.46669513103629,27.999514189896868,29.38800672245699,26.503073727400558,27.497873155281237,28.6163419491918,28.64844452741494,32.37068099412259,32.510457720019794,37.16119040451937,35.73386293970738,32.61550577328383,29.725613149708405,26.980173210652243,25.02231642477562,22.827655760709806,24.534156542521863,23.124825979231794,26.553688105107863,28.753547332640753,33.80603999193291,31.638795124353734,35.785783921466276,37.277949760106104,38.94748098049654,35.04780575254646,32.01207064889856,28.94692788461712,28.229640008349463,27.334121014283,30.94309278343578,32.34552112096459,37.261542775146026,36.94498585824195,34.763552138521376,38.285522508876845,36.889735271142484,33.70874202881268,32.93620549063261,32.073006625266586,29.245402598831404,30.04495614651683,29.303521965634616,33.01015446309119,31.94146742541114,33.87281194882597,35.07125942659461,33.74634735422722,34.129721249976804,35.53352214031491,34.649509256492834,34.60848610013526,38.027086369639704,35.688772144966144,40.283282650332076,39.92782015444007,36.74558024433739,38.65327008902232,39.7531806775238,36.385366487896434,33.6896025947425,34.16023922275293,33.36545914829662,37.479262672400196,38.88689377888254,40.35764556948433,41.33276822656334,40.42737974558906,45.33728269988361,44.795596944365585,45.08120798481219,43.02529838818348,39.230439026058306,42.797750387618606,44.80873781169606,42.44237660027988,46.032651299022525,45.72622086043116,49.66095675837574,47.088397389218926,48.27021619269341,47.42802627479899,44.956706613763515,43.158472775945434,40.404642284864956,39.831003087988485,38.65528409108943,33.99551140669152,34.493085446973396,30.927253515074113,30.625930999114125,32.166331908504674,31.740725579620996,28.18533786601331,27.003014859213575,29.627801107191186,26.53943291147564,21.487457218222897,25.03758301574882,28.157074612528575,22.100443932229375,21.28351061173761,24.443012325920638,23.12881895946914,18.50788258698069,21.008100881850527,20.054918807969422,25.49995698004578,23.838931081746665,25.75285691417565,29.061775105367218,33.51567664723454,36.307253668192914,38.693745932398514,40.30693592262862,39.98149657027908,42.9735954892702,41.2752507790886,44.742201271406635,42.659826684959924,37.156578157297204,40.3327616183831,42.63753115220153,38.062807110113525,36.75499216388478,40.396271106652776,38.98708632135883,34.57336337742447,35.40052129105637,32.240251087305474,36.41721351191016,39.07120464297598,37.937316288136465,40.97040076587345,42.94324162848848,41.0700620251242,37.53907371146591,38.01885078748339,39.45449873511557,35.107911624670216,33.02687181893843,35.187849999674064,33.65487078914286,29.928870276812855,33.51135412437519,34.069192542520206,29.634070516254855,29.728766811548827,33.33075819157249,32.02491035176996,35.39204944317411,35.27849970585771,38.167845743368495,35.516616329853264,30.566216073847766,34.404655842774616,34.58090535541005,31.00175125706256,30.421697361214637,35.541122786948925,32.793837419138306,28.03849098211664,31.3801578400002,34.768104604038676,31.45542700112736,27.841151753479224,23.15823917256358,25.467346333192577,20.964640369684837,21.916765165359497,17.19803619051447,19.202952543401395,16.305248877538368,13.380624886652871,15.944669691045402,18.21131417257772,20.03920964203568,23.07486882723952,22.067192166281057,26.43332847374151,24.577605061633765,23.363112804859167,27.358712275148317,28.890532127657945,29.32326463763676,24.434246109414122,24.080971001983936,25.336882757682968,22.451075458517515,18.64771070182523,21.45185356390882,22.4847575815441,22.372226394004894,24.934293403858298,26.932803532173356],[11.636018333682225,10.905430566344759,12.87168616793409,9.246463946441878,15.37827584893609,14.006823548991076,16.852170907789443,20.469046648810703,19.56139449846347,21.729677064802495,24.20644054261716,26.472467761612542,27.04790912101611,25.21533885123089,30.143624598985262,31.72105085281319,30.515667681658304,34.858813976973366,36.96650130056604,39.5707335009512,42.656525152582866,46.15086542260717,46.9602430472051,45.899221634596785,43.308851861527046,39.33198408348561,37.340427182001235,33.62832772118941,34.6134918715924,34.12122164300436,37.29309043447612,36.41733348829694,39.757556779484496,43.607149244657,41.507584386680094,39.9300574280646,38.735416962885274,39.391876028904356,38.84492902892779,44.22629802530388,41.41293211174414,42.87248584401022,47.12704561955296,46.97739493785722,48.860105183978185,48.528285478796,52.711271513256804,51.20868774857897,47.59857638818482,52.34776599881916,53.89984320467483,54.056367487972956,54.76254047792262,49.69698491001035,53.36317463390197,56.460231917996595,52.908208145005204,51.647412018867854,56.43404560304929,56.82055734148679,52.715567439052094,53.81090958211145,51.513343198988,53.19778865348041,51.06058653109797,47.343648569915736,44.50281552077483,41.38725767966121,38.74769917005416,36.328555009923214,35.596654228107994,37.725152033732215,39.60124381562878,43.08800863649104,42.38991394539338,48.7201245686441,47.5073371682344,50.09422463169103,49.063256387715285,50.268979387462196,47.87219735003563,47.235331770454515,45.155797458249204,45.00035345757917,42.208645982220936,41.29735863029721,43.430167967885446,43.98815210335825,44.01789061191454,46.769857629894645,44.483451918828735,47.22889328523316,43.67226044653892,41.39049748157876,36.65435834506096,36.71360946763809,32.38751421329491,34.88710150843093,32.10495412111433,33.07522103920829,35.40892492985209,34.02834333285774,36.368738377826276,33.96808808673185,37.134440969401595,32.11666326903778,33.90866649006897,32.8792489661939,28.494390874264802,28.652488813013253,24.127137328583988,25.34055157043265,22.232066787568524,23.40458543022667,24.424354019798976,24.742120368639842,28.470820670247548,28.97073562460939,33.57161500084893,31.827304961339717,28.832247577220528,25.780615515846886,23.307349681467773,21.107635179271938,18.67250892848399,20.679443461602993,19.113983269961935,22.77405654669135,25.177036134256753,30.185255535552145,28.535860605029626,32.72087214233936,34.21470203571234,35.49136049203475,31.769506927825525,28.503949995761673,25.96905217238351,24.963581170317163,24.06986936745065,27.476733873504973,29.27631836886263,34.12378939930243,33.45515830494664,31.135436501512135,34.51770057779126,32.86281331833358,29.70451685619232,28.703864395670966,27.807832258394612,24.844855422590594,25.709474813666244,24.877724292008327,28.71181777487131,27.776004359665286,29.5262951834843,30.64003265084532,29.261695658743687,29.727355967770215,31.103435022517143,30.41083384604343,30.570489300911373,33.90371602549417,31.90195893630963,36.44676734914575,36.48027676503964,33.645393793030046,35.61786868355013,37.095765502084696,33.84963559100356,30.93736686958836,31.167665408369928,30.033818209983295,33.89265755073376,35.06164784018413,36.32356481231642,37.16664926969745,36.11707950858242,41.05136599319857,40.667905820226956,41.01713943533928,39.207503611969486,35.35665855379958,39.213558697891884,41.402011626721226,39.0095385523196,42.4671607140672,42.029915733911984,46.17875897740195,43.875065097973206,45.091788270400315,44.453230833455486,41.81570923671838,40.269176223160116,37.56371753125463,37.095800843718585,36.20315378124128,31.52414377527253,31.98979089788389,28.585039163822035,27.770592265658046,29.740254238185376,28.89742749013066,25.19375855664079,24.715879524681554,27.373440655404867,23.87462725662721,19.261285500061433,23.275151483079213,26.020911009281345,19.837898946971265,19.72094428745403,23.03696008517528,21.158865235858723,17.039351774824027,20.34763812303681,19.465841378475723,25.0070787343872,23.889531418178215,25.05502428557704,28.406244737052557,32.931690458179325,36.03334416253851,38.190474106907125,39.22867120398424,38.634621334179,41.36093176375193,39.22830599136488,42.88703277471389,41.227661048473564,35.425755313398206,38.33188783681367,41.069519628819776,36.69888831487997,34.98605548213441,38.52073164139051,37.75288239158361,33.35943123121665,33.50993020670877,30.287321060123663,33.83990808443744,36.6455634041019,35.47809799333023,38.19333070556499,40.24133254460949,37.97873126024432,34.51765604959972,35.38199029013017,36.51569748325813,31.953585126773085,30.32024023864996,32.51458903907011,30.804889307253784,27.31291573154974,31.31880725139234,31.79586385430848,27.29421267267185,27.924126406705177,31.71731019540835,30.481929053975175,33.65166990607631,33.181210877608194,36.38634208768077,34.16992158844979,28.935230933661867,32.67856170109762,33.42644489146251,29.959837349098287,28.99601732668052,34.48928296617145,32.32499683975222,27.310392546425746,30.335320086751068,34.249817875961455,31.425805318988125,27.667643215133047,22.890087409930786,26.021766919200406,21.766882907985398,22.589423251332725,17.393871896120597,18.36186842746318,14.795415970125452,12.849368639285874,14.991353746266928,17.793445663423668,18.858756154367704,21.450035955690065,19.454980420820963,23.65162307881075,21.256854151572597,20.119997040706696,23.857291265553744,25.58266700140066,25.557962814908628,20.696494266267262,20.826676349809656,21.746090121867017,18.38927349959219,15.257192044611603,18.367091618992653,19.05094148336839,18.707673261812953,21.266946318198244,23.22271976065232],[10.29103756691848,8.368858004743222,9.235043469206573,6.770829580474358,12.410436431481024,13.246758197936293,16.441046870835788,20.326157464043185,20.69795726782367,22.85269132795181,25.89300197270611,27.90594268853597,27.809909773585236,26.7101290253586,31.707465749229804,32.7443829794202,31.186937182570027,35.654733222120164,37.67054252758443,39.794991467515416,42.967571371376195,46.04950944264197,47.022418122307144,45.763323190244556,42.95887253905469,39.31621896236888,37.01695804163632,33.535116627181566,34.79429835790016,34.329166325135176,38.422332492836254,37.012569896888266,40.7072584729176,44.50139088141691,41.936378905941204,40.26331116354587,38.59152475214536,38.96812717604836,37.989569442813284,42.849132599457825,40.19330463564269,42.31916028099576,46.39344910241252,45.83058993047541,47.63482675271495,46.89998947890467,51.11736793511008,49.83277936061542,45.861535817939284,50.292083222891584,52.11895566144878,52.10898843170841,53.15243376085041,48.195579532337206,52.14686774105043,55.28634085959259,51.882957988116075,50.96291839931463,55.785258175779674,56.03624569748992,52.316449880072405,53.88589442344293,51.85236777319917,53.68810490389705,51.19877152926748,47.4823395534942,45.226411163048624,42.266777284986865,40.01379496108587,37.96195053189381,37.39473537375711,39.95236534572135,41.56446656986255,44.66096808317095,43.737826346631785,50.02517344762503,48.21402794748995,50.862635942301566,49.364733168936205,50.11692933047283,47.42924858066104,46.258065651398674,44.02380535518364,43.37822200376211,40.61915005948946,40.29477928848842,42.88052526190761,43.65638841322119,44.180255478074585,47.32854656535404,45.44153835824526,48.6359847724046,45.23685064550383,42.93818209092554,38.19507160643855,38.77921312784264,34.455778870106364,36.26576624095684,33.26332062820615,33.993362374305526,35.770304851995206,33.64728347019516,35.771189404081426,32.664002165246494,35.07663107137347,29.85033172165866,31.074996977934592,29.54456013791517,25.12130160401152,26.03675715071141,21.682319644719282,23.386333101539925,21.200929981659595,22.27914729468006,24.395611459810855,24.495576753927576,28.55773512031141,28.86567615181259,34.09132526310926,32.614106396200526,29.85740973379554,26.81495232212376,23.839723299620392,21.30995135877415,18.63181776747254,19.176374734091844,17.181054638248508,20.267372944062046,22.094879898688,27.15047349514909,24.693891979107768,28.749869436034537,30.387992337673992,32.1685981620267,28.414740547594867,25.676147610214905,22.399103507040383,22.3662282675391,22.202956333479477,25.88377288261519,28.07738521371514,32.992165828776564,32.76189324862224,30.194809969058173,33.49873861360673,32.21296585511439,28.964536794827318,28.123537630575626,26.82264069799419,24.418375653573868,24.834117508775307,25.00643759985674,28.524793271080156,28.4847394947581,30.483422021336565,30.96876962754078,29.51795703433031,29.161167875211735,30.752924968073124,29.005584682051733,28.87204492270021,32.792136694079566,30.340387016256134,34.81435193749411,34.190866413439046,31.188897170284644,32.56303927191362,33.83316022078097,30.246823496239188,27.80788799231543,27.947742979829304,27.446648950230763,31.429120033191605,32.87306358859837,34.57054737933072,35.551233607197915,35.202682617452574,39.81997315362509,39.09587009597066,39.07230924107242,36.893181113303655,32.91028484930559,36.20610059489935,38.18032669057474,36.008869962813144,39.95533683902041,40.06259959764788,43.85948305734596,41.5593760274135,42.296237364559175,41.289134168217565,38.67699980858119,36.653614765203876,33.74322222589306,32.9882153102938,31.71127955240824,27.05450319397214,27.393628239310992,23.808872277773233,23.536162305465744,25.174284769151804,24.926346886877347,21.3008127994602,20.10376273741217,23.050455782457224,20.146809311275067,14.844138058106267,18.82519022172497,22.395627617655368,16.53924428295076,15.970565675900087,19.64689504393774,18.672795273878478,14.406307894144486,17.28644582482302,15.590689678399736,21.4042399711613,19.14217163759687,20.362285424138122,24.024952207159156,28.202339710339036,31.589749161019437,33.42238327366397,34.60123165812877,33.84819909516881,36.60901158488329,34.63848432971328,38.03368045132845,36.177791312550674,30.466852149979893,33.4489700605365,35.87578829227587,31.40216473307039,29.84697326560705,33.42540286417188,32.338538589940356,27.92843801855702,28.43234469213633,25.230276095934844,29.29863620817667,32.013480531381546,31.076089729746585,34.11439578843678,36.37658175612515,34.4284278882521,30.790960115651437,31.589941310114558,33.274884701104924,28.84882910227728,26.832341461697176,29.51749737937996,28.26684137689506,24.41607662253708,28.169076722653333,29.238213656178136,25.13320654972533,25.015797614078195,28.618605169044564,26.86957928026225,29.814227141899682,29.19428985082548,32.03685656536361,29.875476759328254,24.572848980521197,28.020236458546364,28.568799764497093,25.122867591225933,23.936387658142227,29.28402034443555,27.06718410319278,21.96564024512572,24.913098094604585,28.762417407398623,25.9586488860997,22.148121520953925,17.397590916558144,20.616826628130543,16.51318418165038,17.611501666253165,12.32306969066129,13.39097405642589,10.543989453635463,7.780116167411683,9.54846800235923,12.212296968309222,13.388904254871115,16.210209338903187,14.958078721621352,19.323218633783974,17.714084245708197,16.807766442183645,20.98052429489441,22.793910505173145,23.64270713142931,18.535649163863035,18.660784185242697,20.661847021530463,17.54755382298891,13.763130691098565,17.381872887314955,19.256324328290518,19.51163824793194,22.130037739727708,24.12448350648759],[6.9619064164227105,5.327977333384802,7.356078722570589,5.215646930535128,11.23655940316051,9.884413873314182,13.670495492415267,16.873594962646525,17.249821816052137,20.23407103257523,22.970520814532218,24.42930098467975,25.20941876634535,24.471296237085372,29.15343178342154,30.205486312655424,29.368087100990223,33.99286247018183,36.68884834456022,38.65360602023739,42.133717850920576,45.31020817467893,46.585486603757715,45.742801493861016,42.71237030442744,38.94746464457248,36.389816254623376,32.61258991517848,33.212382683903215,32.150677494996934,35.97515396788704,34.18254920988568,37.58931610907379,41.682444783723106,39.3887496061199,38.18973424443351,36.322554504302055,37.508689426076025,36.93546015313755,41.92216003310227,39.803394318463525,41.587899381775394,45.60117492692087,45.32888802356235,47.52121871852332,47.09440919229654,51.22042069074762,49.49260098761289,45.67708353651729,50.24270082739324,51.61784866160675,51.41506815990548,52.19291582315803,47.13280060613445,50.71820443841213,54.138751169556755,50.94135290536184,49.59245541059715,54.36532109463911,55.082789855756864,51.302066023810674,52.48995281477226,50.1524941291275,52.38692620012913,50.14047633272473,46.18134173403534,44.03703758811714,40.69584709732326,38.748001484201914,36.237384304878155,36.02435340458406,38.57663923889236,39.798296416156674,43.177773581727756,41.799072210345194,47.97139163161756,46.34031335617939,48.60349289016535,47.28257162971514,48.331680774830026,45.43171215336043,44.66380992362108,42.03978932740279,41.835038705779475,39.42900302028139,38.65339299792536,41.32416421021136,41.49259233026734,42.282436497712276,44.85526237651892,43.090399678714455,46.16629208983573,42.5857298650487,39.991216357740726,35.30899077590029,35.69129676494407,31.456244344029393,32.94001043427966,29.751792937174855,29.95100138211073,32.38009743949615,30.128117283214543,32.867548801531704,29.78902488298823,32.86162240053132,27.69194543120206,28.989686791043628,28.115685730785525,23.61102202849474,23.778651143776667,19.417032724656888,21.523226606519913,18.96246621239455,20.956271831882006,22.87158975516187,23.78883503383637,27.75601416393327,28.841989871319235,33.73818687440323,31.548488672183634,29.010098312986052,25.667032660153513,23.502468732866113,20.587175158217153,17.318949970588154,18.55957072467846,15.4133101298913,19.179569575136423,21.07435831253907,26.02940583895471,24.51115360169654,28.3301251152996,30.40233086020557,31.40586000197717,28.35568236094457,25.38841719359959,23.064010312217807,22.894406106267777,22.90462635251857,26.15125085709088,29.03543447807742,33.77194960209749,32.88253879453967,30.091106659659044,33.06183333655003,31.134920260224796,27.96962589340202,26.399583769517605,24.779442012640516,21.761149488781925,21.668747676346552,21.173616154254372,24.41060632723618,23.819805935412678,26.11294867349824,27.009513633380383,26.036410066174206,25.884273489642588,27.9581637288728,26.647608486596514,27.480665072241564,31.34985567999473,29.824363655290064,34.12835002038913,34.301592336246095,32.00346457052664,33.310574614251536,35.2088268817707,31.738551811431304,29.12677095672799,28.75022096639461,27.77310045071051,31.1316599047655,31.982151172101855,33.17449197289878,33.59706602234477,32.99245398424982,37.50514886925521,37.42281636231083,37.3629100630511,35.93830655544583,31.526353912395237,35.42535898748106,37.81552325991311,35.78551746406406,39.665750172662925,39.642635563858,43.83343724729602,42.11305954320628,42.78799938406394,42.05011420902184,39.11282487776307,37.36731926917728,34.41680875224924,33.61134768014358,32.53772376619956,27.92729589206727,27.773159893589792,24.127628047072452,22.87701326007669,24.506387122804764,23.330508885412087,19.810229026228228,19.4438101906471,21.730938738307522,18.027803281573178,13.820307611500672,17.77515796143148,20.128195120465456,13.927610611261512,14.18554360134798,17.526334077367586,15.460495277073834,11.737596584737359,15.558724902400622,14.748787382307166,20.17060823765852,19.82377530552521,20.22048486376965,23.417051729038796,28.033268121456885,31.271939480416847,33.30139490389184,33.903798074564065,33.286993899633174,35.91582312619659,33.68450509818597,37.564787351452814,36.09762826406078,30.2469119297871,33.168107566065856,36.26548537928414,32.066919100604125,30.289823101531187,33.99085621638829,33.66797366141475,29.32517686912461,29.50268788418769,25.69679507917013,28.95816771239912,31.548485037543053,29.97859377842806,32.62835091460697,34.42946348974294,32.279169602954425,28.89727280317569,29.510037966755508,30.577616206242045,26.096781292472038,24.372005768015093,26.50669044792898,24.831351266855993,21.31020252325357,25.379097036890784,25.918480632949432,21.50075478963872,22.183329088360125,26.028127876083346,24.798035932872942,27.870123003484174,27.3344872250313,30.70470823004021,28.6388925695804,23.35458450940373,27.202304994207584,28.24348924558231,24.86454167695873,23.981287520331346,29.671834511495828,27.916667624631437,22.958725376076742,26.031926692547437,30.18482385139805,27.775894485289133,24.11900705720201,19.372661738752,23.35546377669582,19.54328029840362,19.537906282942465,14.21345288826288,13.879230579121748,9.669712823836731,9.440573548631459,11.405961534336955,14.955144564028593,15.571205671483353,17.0592133617295,14.821831962750736,19.032229091933853,16.942730403900583,14.567245956587765,18.34058375735226,19.765951980870035,20.088574540849308,15.256856347038841,14.93507779000667,16.259068402849998,13.457367457000542,9.499790453340731,12.815996798561448,14.246430733407198,14.454852660874707,17.146277144313032,19.2984679780073],[6.088963998332709,4.712290073560197,6.575709158489752,6.150889388521832,10.607456616369634,7.850346768611526,12.041454063315578,14.374400327166606,15.265715096358642,18.926782878781673,21.471000920477756,22.255340950929863,23.604590087147617,23.489808989680576,27.780287034223797,28.631512549236362,28.34588200237151,33.05966611530066,36.2749520827767,37.91435391036739,41.64490650869982,44.73531808995153,46.310322505159455,45.76881636850733,42.5093684430514,38.79355388895057,35.953250560518164,32.06114667753882,32.156530655045025,30.58449187365278,34.423727596091325,32.12190278182094,35.348440990611635,39.6489038093007,37.46217094517436,36.66989904623364,34.48945688622719,36.29167792268195,35.943833050284546,40.81335796084686,39.238328048249144,40.91559006024949,44.775933445890104,44.631422813379075,47.11347950626349,46.832160648060224,50.854613110308705,48.82408938350531,45.06844768959704,49.6113057204954,50.667690321005715,50.25039211728642,50.89556734318006,45.8197117569127,49.143592864167054,52.798199811612044,49.8491274962006,48.2442283459384,52.95137322616552,54.028228385839874,50.342634794274375,51.34455651315706,48.84642781660644,51.459198848031704,49.32523433301826,45.18962946924437,43.35505768239671,39.77266978628146,38.24540562806646,35.49675221193409,35.65069181041314,38.305815613877236,39.084042193478076,42.53672620737722,40.699880377097415,46.69460293546681,45.035315836731776,46.96252999995899,45.6516172198648,46.803119008816836,43.6453739528985,43.066776308516026,40.07240363338741,40.10520371564941,38.048862293147494,37.070344809308075,39.932701334278086,39.63079899397089,40.81342573335728,42.98550440061839,41.48095238826795,44.577454183991335,40.92511686994121,38.08935378686852,33.51654077732878,33.900920774803424,29.81379445141483,30.72190138707684,27.329146990327516,26.933953624407895,29.74162290835214,27.131198257286712,30.340415836018277,27.09103005701034,30.491405124840632,25.392258799842512,26.558735472067053,26.163498871815406,21.680526954452375,21.35749238631418,17.18345743587161,19.781417323543344,17.289781441924394,20.04373228385329,22.070735517019447,23.61367664515201,27.482424709902922,29.146731610664833,33.85712133104406,31.18454938063317,28.972085370127378,25.465031492693043,23.907966762475315,20.681329650410074,16.994999964561476,18.293688153284645,14.104663916740943,18.102378310809158,19.78398891107538,24.49856074297629,23.638815566012937,27.11008804455611,29.560446842856543,29.997772298630125,27.629039082275003,24.69922420008288,23.065618363591195,23.07666363711513,23.456636826043663,26.309918580718087,29.816596836376956,34.325916664122246,33.034340073988,30.032439185297594,32.62745452654873,30.293454379432884,27.24636992957461,25.108882800211077,23.094613067882385,19.776029413490463,19.004486784242296,18.217712108272853,20.98136274302018,20.20451685133804,22.848909007329883,23.890141232051715,23.374122838030754,23.122320406137167,25.701500095273918,24.467506646062052,26.09138923597193,30.023632255165126,29.214575838571882,33.25953452493837,33.92112810248165,32.22081709431134,33.26788667225659,35.60596804880453,32.19753883046168,29.631558353571698,28.801952601904652,27.62958530868211,30.402416695021664,30.794340583941366,31.648632365943644,31.600241218764225,31.001257257503394,35.25283675269073,35.643438112548374,35.432188696535164,34.588601807760035,29.81881093192391,34.028024250753866,36.6891110997839,34.877110521603115,38.79104674486065,38.82053797134521,43.19985429521218,41.99632253468181,42.46848933926038,41.86383701402031,38.68761152953651,37.07125230055214,34.07474328559084,33.16200956031468,32.184045649824654,27.714193548797816,27.11065597230417,23.476396283300158,21.52762824313017,23.04090270114822,21.19028073924798,17.893990002957246,18.173406228938827,19.863998724265592,15.66723440152519,12.654209496350466,16.374321214390744,17.67758521802595,11.523854823008149,12.625608901341256,15.576687204961868,12.714223068743935,9.988097031805298,14.407190825688456,14.197628708601158,19.01861727805609,20.0083288694498,19.60703357622243,22.384566506549795,27.13274006667911,30.311578983949893,32.334422623120744,32.40068844752794,31.81496884622039,34.265054006997254,31.829530287776336,36.01606421318567,34.88998143856108,29.005088244626144,31.81000027393811,35.38030185668782,31.47017865551067,29.54115819350366,33.27491757324049,33.556721271804896,29.35056201911208,29.289959051901246,25.08124268974359,27.66146179031334,30.0841955915152,28.05822924217956,30.385515674668156,31.83266509277971,29.575314609623174,26.42356491068344,26.88755347977682,27.51144659022153,23.049084267138042,21.569435002695307,23.318893208665372,21.38389183262841,18.16195304773525,22.453930795082826,22.673247365503087,18.149619774204098,19.45131750634763,23.409297929974812,22.52037141149089,25.530098670755454,24.968522073559438,28.683605283383198,26.82939057778425,21.62154315215586,25.60780205818848,27.07417017240659,23.867314674198873,23.135949919764023,28.969598892179803,27.69837824284226,22.9433062871744,25.945786327435858,30.285301138416195,28.310379545489113,24.84189312286909,20.287564076616462,24.786139732792492,21.3915240260041,20.692684199687196,15.607708342227335,14.120188135873578,9.437018462761118,11.18738104523916,12.804167597472416,16.635211369563617,16.75514554853508,17.122663817237996,14.318018727759426,18.15071488911883,15.956924140840195,12.336262064366894,15.625435468182497,16.657817758471108,16.692822559869615,12.214830530252803,11.439964055904253,12.335018408083355,10.054181260202528,5.816546430641404,8.929817080275784,10.272223012311914,10.657240259665606,13.417946669734883,15.719693309508784],[7.7538427931391976,8.006216444650708,10.759457102230554,9.059446277353768,14.038021101731097,10.038083207073463,13.636548067126004,15.6845104348836,15.303878318616198,19.022677118470593,21.025878886064245,21.984615491373344,24.000059218841056,23.258437040186028,27.465564971091528,28.784944690146805,28.801446577367003,33.396731575031104,36.65687403580728,38.68268629628064,42.32192552270357,45.724515852706354,47.14943644873695,46.72786714139063,43.654718720584555,39.695910997827035,37.11856291854485,33.079170394236215,32.99388576993216,31.422147534327603,34.47828417609283,32.62367228958397,35.52533011239215,39.881718791977676,38.09577627060213,37.38468743357987,35.602959550217605,37.594337362632054,37.55654866047488,42.80268037221568,41.05908184873149,42.260267959621714,46.25821356480533,46.40238126041519,48.901188354396204,48.88365966644511,52.8865509187017,50.744038942916056,47.246000178751096,52.0001298898836,52.90132921089496,52.62710730485065,53.04440261202192,47.903669784913895,51.02404968268134,54.62589868805391,51.55576517246718,49.71858534620051,54.389840522340485,55.54420875299598,51.572632575917616,52.22314387319981,49.52832929356445,52.00603356833123,50.141782227032294,46.02213420742907,43.720398547685825,40.02806554974484,38.18288636621604,35.139077614734134,35.15769909715683,37.45616062529829,38.44795453794401,42.22222964081144,40.5725597848596,46.593702908634555,45.428628733317915,47.30349747464839,46.374154111657184,47.87994200831731,44.9634930338153,44.7882307459241,41.94201069867243,42.326357292746806,40.22886833482339,38.83531437727326,41.32907651444987,40.875603191077474,41.65383596959793,43.501407280432396,41.67125747319949,44.38649372316177,40.596739114542196,37.75946647809914,33.198533963417105,33.10371206931685,29.017473667315326,30.512280230751895,27.302309293220834,27.054686235067564,30.42444414440484,28.461892694753935,31.8506794580707,29.20836579173324,33.144195865694876,28.25908941884444,29.82029387514681,29.721714579462628,25.335877154175957,24.560129922304707,20.354597024731785,22.45350033282135,19.281933526889038,21.969123378292302,23.11557784908857,24.754770933219145,28.361576313532193,30.0989786360988,34.352408212803255,31.515268375069986,29.10952129128413,25.615490071650136,24.41378303753475,21.482682182306082,18.059041323245943,20.40724177526005,16.836260329038584,21.09130838030416,23.174433269301215,27.826124671432122,27.358774778562495,30.941442944119018,33.21348151304381,33.432972482346045,30.98165978190721,27.729281545770167,26.401346392858905,25.76768479413294,25.59002902624441,28.331725872553037,31.44182680131779,35.93461664942333,34.40892059224964,31.623714470126085,34.314575325939714,31.76565575112693,28.791909526849135,26.601071998136092,24.958004610321172,21.24008638088725,20.890175726381386,19.16875220001357,22.143697462655005,20.38762313965725,22.87404259451119,24.57796191926498,24.183216125395113,24.669877634947266,27.042620417585034,26.682490293750277,28.435937834446435,31.891025439598245,31.329661834365464,35.43850049097889,36.47525745684489,34.77474431446509,36.25605764594845,38.61648671147375,35.39789894178396,32.54218217237413,31.88536706375708,30.363709338762042,33.15322079363819,33.425045211048165,34.00101973090344,33.89078747149271,32.755010392146076,37.23408673649088,37.85717311157473,37.932307763673734,37.30215859327628,32.70461391772628,37.22350335981397,39.97003960629477,37.989710075052194,41.554461441842165,41.20260866310838,45.783864073556146,44.499171473462496,45.32092460427721,44.93095742564141,41.78979065317474,40.451934419436085,37.597528348546504,36.88111530553288,36.09829143575724,31.595739347775574,31.169672577336655,27.64435079038723,25.597089698996932,27.24418103018847,25.203190142655195,21.938356235443866,22.42670123455673,23.972578471120173,19.65652561861001,16.901957847860164,20.436347031331255,21.34210074389544,15.250573863330324,16.248005977045775,18.793269205630438,15.542902928409214,12.77547806975346,17.010211647942302,17.32554068720854,21.924830449192932,23.380391755492134,23.308915188200256,25.88592806564716,30.81668056411905,33.69039476041625,36.00859206036182,36.17691308435852,35.78922165624699,38.286740145610146,35.88888176223456,40.16104913026383,39.03812251540531,33.21047056113383,36.02535362374013,39.635154505212654,35.71939185266847,33.81015763268019,37.52308341825157,37.78305861103406,33.5535569366889,33.45536927976229,29.335520845561085,31.800408826440027,34.25202935883429,32.14222135025316,34.309287614560006,35.57256464073073,33.21328095405967,30.219851974282108,30.630270428939262,30.90680493930212,26.49520752461968,25.220063681274027,26.517602868654336,24.29587868522021,21.410594095956778,25.63090000845686,25.357989535515113,20.61787491925613,22.34739817689374,26.306605377070678,25.82518659837849,29.03290761914599,28.717164961981656,32.53269554425639,30.508942882101334,25.513338274940477,29.670961597137815,31.051055321491496,27.79973171705834,27.315823740882102,33.09547906059216,31.636226457315477,26.968093265532488,30.118354179978528,34.34514517008726,32.15557263816654,28.69191165843732,24.044916709165566,28.23616744271953,24.532380501893797,23.854550423858978,18.77883734818613,17.877827354282424,13.207345433640683,14.294589420104236,16.39348454920402,20.137124120850768,20.553651666944383,21.286849667237988,18.442866308284778,22.224705529936905,19.65835371879772,16.30448396511546,19.202594747693503,20.10258791011775,19.501158378524387,15.462050991818815,14.637656244219892,14.47207926056841,12.23181050942789,9.037001344926207,10.949683174383576,10.806218034018862,10.485174690639358,13.175033576574355,15.458051141752927],[7.183686813704777,8.753867982765813,12.152351437540462,12.737048390251058,16.421208668419666,12.32348997070037,16.111692713093753,16.863743784761418,17.374831619645853,21.787648151001726,23.45969610074904,23.37898880524532,26.174196003197544,26.27455718399086,29.876898630699497,30.887879428788946,31.57802692129771,36.21241781708937,40.002009470790895,41.58266865971127,45.47936190473533,48.690635502533965,50.459367010066046,50.308263534064906,46.98166842209631,43.16940424707486,40.26260459801692,36.1938878736596,35.59023048024858,33.40298393197133,36.5057282925396,33.91071906655853,36.482947554443314,41.10877124759913,39.48063721156756,39.348162926380624,37.08230485115107,39.81493633046797,39.94722456531742,44.84299239717692,43.79735876854439,45.048772331844035,48.79483338514678,48.972863782376024,51.75255616235202,51.75652469499916,55.63806135605888,53.24694146979225,49.714223464982034,54.292356662753356,54.915644816015686,54.31024293597502,54.681446924264066,49.58929210283485,52.42874014127904,56.34089995282195,53.65432400849627,51.59038626692986,56.15165636178585,57.73128413125903,53.99056547247429,54.49462427528896,51.65005407847883,54.607402321299645,52.84238352147718,48.54219428942396,46.70299999809593,42.77778152943917,41.46448804434301,38.19943971331942,38.63084863827017,41.001223871413195,41.49193611737052,45.31530041720168,43.123191354901955,48.851312274082765,47.62781370819079,49.029219467116775,48.07651023123484,49.64057885139997,46.33108429576727,46.290785468096345,42.89571029593321,43.457246752612456,41.87675337547041,40.41671797949261,43.25447984322185,42.20232547622678,43.60863112116656,44.91494344523488,43.51128654067174,46.233653195314766,42.37653318585737,39.21088865631863,34.89294615594282,34.748439322925414,30.969988330964416,31.588025524514535,28.115656903366602,26.708640647832375,30.768740148710986,28.069544615258152,32.213241984410516,29.114062116580712,33.21699214407886,28.447093783021813,29.36724557613527,29.73974530458039,25.43865726867526,24.410786985663304,20.796596639028387,23.80950372380726,21.19908710406336,24.646208611484326,26.159532994998344,28.334917613489612,31.858664889774634,34.064961891212796,38.22313580995256,34.98383893662398,32.9593777086317,29.368119055152654,28.648816184035258,25.452372250684608,21.704130365903254,23.634194589542243,18.954549402642705,23.05912230483115,24.5034252770803,28.758214816917786,28.623459292461586,31.566192908553013,34.45677290489901,34.26222398499779,32.71391714917461,29.844201431325178,28.852573253947824,28.88863355717391,29.308920140548857,31.788104827072953,35.50992609818952,39.81408672614338,38.066509115152726,35.0467681291079,37.31640452597215,34.45726390720724,31.637189606490157,28.881144691364526,26.669975581363804,22.816668627959224,21.29687090668826,19.30114395329761,21.00208150926405,18.6499089798709,22.039437672117465,24.116185993385358,24.659232371523476,24.820295407712962,28.026250374305583,27.496080723064036,30.20657844352418,33.87766460839665,34.01147390863216,37.75630224040241,39.07024461336115,37.90307546140056,38.84635001448804,41.502629867194536,38.176715757006946,35.63650414358489,34.52281805507918,33.13247002645904,35.32466216962799,35.16659228136397,35.47422807475598,34.74711849724895,33.874143172724175,37.77417528204095,38.990187754506984,38.69265232627127,38.72875607225629,33.635782898769435,38.22367554779275,41.182416457213854,39.62817825620726,43.44643245540878,43.39240894569109,48.0113947130715,47.295794698046684,47.68574270689568,47.25239013299083,43.88480480065443,42.42449246763862,39.4065940945958,38.36025267431832,37.370026781472866,33.10095623396156,31.970237625815322,28.254112279930823,25.78553208223959,26.62480075362466,24.064463278386963,21.506067427668427,22.01079742907279,22.46939606631835,18.066886830887285,16.68611946766845,19.08728950874908,18.60429013703424,13.10479482764569,14.36732734472825,15.827503095868197,11.89823066633731,10.325638328763398,14.416035148492696,15.79672643706078,19.18438461987646,22.497779072202768,21.88236546353916,23.642875232655108,28.756815656170087,31.14398084330994,33.73976632818046,33.60451648926344,33.6338468824229,36.136400599945986,33.9532989181715,38.519611757974864,37.48830401736219,31.999130648418756,34.94717409385673,38.85228462399737,35.20137486451388,33.5246815952923,37.43274085714971,37.98398423016557,33.938366622670344,34.24310872359982,29.506959537626432,31.627733935843505,33.56212460105798,30.700503055680542,32.695611909714614,33.157248071892234,31.21338784318775,28.61422117433059,28.15014900580437,28.00762847030631,24.10865428609256,22.626859245334533,23.016000518806027,20.582304025756244,18.04647957400209,21.875741735841697,20.993745917422267,16.15262029310927,18.339466858762815,22.210044277706583,22.374006174235493,25.750521304467036,25.942655629587076,29.92858884903305,27.707987517105327,23.304220896545598,27.824658713552914,29.21982372331166,26.13864909186147,26.423786709519106,31.99646580170697,30.709151622503384,26.65440031755682,30.08315417259186,34.07042592648648,32.09831392533815,29.060999282633883,24.728407280128057,29.11029443405242,25.808672949915167,24.051504963604422,19.61017176166583,17.950250426182922,13.341468125128506,15.942454256367714,18.105514143455643,21.983348662756402,22.433659066657224,22.0651223069377,19.633622294804855,23.08017147748913,21.13630190455087,16.08821641712427,18.381333865665066,18.17719582900611,17.83587896880778,14.828285299319317,12.336270411748758,11.720028306055971,11.909580137469131,7.955063061074669,7.3611093269481955,7.206734101183727,7.779786161095293,10.345262903717966,12.957778935308312],[10.670617196226802,13.063070774661883,17.04410051462571,17.255605291185535,21.327754530605418,16.84163787576916,20.282344803795386,20.661361187335427,20.420008286223414,24.84658824352285,25.935685863461465,25.720254277067472,29.225432504576627,28.993806305353377,32.28874129923378,33.61705103554865,34.71712668657519,39.20070564901315,43.10511545477297,44.9044499009989,48.75331253941921,52.16727206236697,53.87341422922664,53.86957699367412,50.66233132370326,46.70231511869994,43.95979763437429,39.79946210100008,38.95460045978362,36.647124955987046,39.03230030941947,36.66663801282489,38.79149450007197,43.49636361004855,42.30924797999848,42.41458561678665,40.38195144947026,43.43247379065833,43.84311547960005,48.92362713258474,47.898803771268604,48.79188421017652,52.57606278653207,52.98345292363622,55.821538393410805,56.018643085673666,59.86052911514192,57.34585137364857,53.99867730979481,58.687042747852466,59.13866227214987,58.55774248040582,58.7448015391337,53.63055857535131,56.234358095553176,60.16990811243037,57.49309916500701,55.192205635860645,59.67621924539164,61.42241625689052,57.51829245517741,57.67803218660518,54.63372768219417,57.58100130680667,56.09028792367375,51.783820305159075,49.6593506344125,45.610724837226954,44.150484178823596,40.59924578855155,40.99670831690749,43.008424999453716,43.5790658179896,47.683041248356716,45.546903514697796,51.16558143916068,50.39847682561643,51.601295405971335,51.00112431865508,52.88614872563288,49.695993925253774,50.027450538379526,46.62040666095108,47.499201113293594,46.02239569330535,44.241507464235234,46.85426248648027,45.524675290006705,46.74389357465258,47.588926629222776,46.02483936076317,48.35447512046171,44.38096524125245,41.14789160949599,36.990209098655086,36.35088659644778,32.75695999805983,33.653361169136616,30.352000001984898,28.711099387488833,33.44751356963824,31.132953198261227,35.585613044678475,32.87728984036759,37.35741129682484,32.80791412212888,33.794707251032165,34.442554322016036,30.232773360288096,28.939302930998412,25.469894194489175,28.329131892336438,25.435246352973223,28.902383477149776,29.87652699931236,32.164380900108306,35.457852625474764,37.75768005543445,41.52576271059809,38.11766758199484,36.02351919683154,32.47982627335417,32.099618087013475,29.123975393028488,25.568226055382436,28.04738219418037,23.62280708446007,27.820717379398804,29.377618773928724,33.53093420953884,33.60930317130959,36.49579955239462,39.41240749842791,39.051672299709715,37.60788851377933,34.63067438233552,33.78425429234143,33.576488674697735,33.73384323227116,36.14304960706581,39.64911195271645,43.92452542638988,42.00472329112155,39.11905548679635,41.38656168464257,38.34029137020257,35.618065037472356,32.75179781635799,30.71660708198262,26.6236987028788,25.18061866360205,22.489909083061313,23.88906210130354,20.493859846512752,23.926357137520547,26.700470712870203,27.637827262670335,28.301793059934614,31.50454448032681,31.584392763870657,34.55120229890332,37.91423830339515,38.33660266675188,42.05288275083262,43.647275960229464,42.53206465751287,43.65818900755828,46.3406456251671,43.07830643122407,40.427456755071645,39.3758072496844,37.82910522792203,39.96249825651862,39.66241752400453,39.733165742328616,38.82406821721824,37.62681037544423,41.50992030017993,43.05153207334898,42.86757643779116,43.204199830856,38.13660663315125,42.907574618685814,45.950718394072176,44.382619324595105,48.03521543577673,47.787764060595336,52.5373346918759,51.85863074151946,52.39896961190366,52.075367445837244,48.70011241510775,47.35736442722531,44.37803839599654,43.36078008263226,42.38932756007705,38.13181940299684,36.964425423738255,33.21751568641263,30.71773672239698,31.359954330344667,28.68046084628972,26.344596640345046,26.784676673245325,26.91023373634081,22.605009355786958,21.456702505219717,23.412430439177268,22.470049461369495,17.399117963151806,18.329174906978686,19.12845779327263,15.222960723007294,13.81407350072748,17.112117882218133,19.11843934947229,21.826487591612434,25.87700700135601,25.576758906494934,26.901020711468384,32.13927112277429,33.979779514276444,36.97279021956775,36.98917608941185,37.40959160666638,40.016085033403684,38.07532818839461,42.7253729051885,41.61340839308679,36.37447363281373,39.435507902562,43.33826475490818,39.70798697096664,38.216542814433716,42.200726171197076,42.65365747892084,38.61998047525149,39.174057961748716,34.33795450884941,36.4612907096054,38.243123016516215,35.13044739777494,37.02878995341138,37.06811535489701,35.30783623434956,32.95734038629835,32.09098563224967,31.627763360515527,28.083646139375357,26.598764908039804,26.32128522439834,23.732063544324248,21.621751819494218,24.944038961847603,23.463708473535927,18.69726464060378,21.074920482035054,24.67085774404727,25.40152788256435,28.987681494081546,29.666023501808283,33.624542782598205,31.08947779268973,27.19993311714708,31.930899913282467,33.080028142282536,30.00636468675104,30.795548570336326,36.15400854876227,34.615703707685164,30.8709450350716,34.57220597237139,38.282735211824395,36.08255246520582,33.19984093565253,28.887349654888308,32.93058123864567,29.46020504693609,27.432889028545482,23.285484689043688,22.083726968527206,17.652125112561052,19.862900813137642,22.432451193375528,26.241399713170857,27.048473824052813,26.812227452220224,24.633891538278974,28.09754985352457,26.134983279361045,21.014740168374225,23.044024180982827,22.48996239867096,21.887776447057515,19.472027503850054,16.6966471684492,15.416410336686443,16.216684278185586,12.864248048536776,11.31493391511059,10.04362564648074,10.16481216008765,11.915621265082848,14.09596687996718],[13.146208876736734,14.811030788220764,17.952732605405593,17.086607179613548,20.98174519767448,15.643819482165751,18.409088940149427,18.56453473709574,17.435026395452365,21.707652713479373,22.391923597816852,22.296835159138457,26.091772390106158,25.530510993755207,28.651194591373415,30.229931114109927,31.51805070806832,35.8517659837216,39.791566156350115,41.77510094525115,45.548107012593334,49.13290674403691,50.760529558754094,50.89952882283005,47.80999202012875,43.7316855244069,41.16337215711222,36.94014043850842,35.93041490832334,33.658102217445666,35.50642397244874,33.51293376995017,35.464266652935954,40.11300933660464,39.161806031177974,39.26529315531683,37.572733468328686,40.682775854714116,41.336546269953715,46.687788230863056,45.556144062165956,46.04231465411784,49.889641863020316,50.53648741908226,53.40212707388295,53.85615159471335,57.64438355379118,55.00404732336027,51.91871983041405,56.784731944770364,57.06546744890996,56.63415868389367,56.602733920503695,51.46023438254757,53.896202576335334,57.735250899551595,54.9530354581076,52.4877449382693,56.928035986168595,58.706376876328754,54.59664682587453,54.50383529102767,51.35161734518168,54.186263326270215,52.88503386683557,48.61446465094668,46.22211838037008,42.1285673951915,40.542149746451656,36.845080649479335,37.22247426157749,39.055159429994866,39.650015940634916,43.88296758452079,41.838170219109664,47.434955699588556,46.95888854659985,48.1568524051965,47.80148385413395,49.909293501189104,46.96070176843602,47.58866868020436,44.40498525541644,45.554518802480096,43.99731437669388,41.87818790314623,44.15068251466207,42.77558331649704,43.637109672240236,44.31715715269178,42.520713909667364,44.621867708200696,40.610880013685296,37.440147929629475,33.302908637965345,32.43340141964406,28.861686744620933,30.142766550506515,27.041697018562793,25.79687954564334,30.63135683731146,29.01359307691476,33.32395477265326,31.263022203494522,36.116302949121156,31.80340355175079,33.394949286969734,34.24986464740057,30.180107882360918,28.436816690206147,24.839141670079783,27.018610600298548,23.593893698757366,26.935145734530543,27.23528772614128,29.641663513361028,32.641028169606194,35.08710102744181,38.42505269118122,34.86560684212188,32.776009812271894,29.29390449355008,29.32320283687436,26.550896408361893,23.223369352390698,26.36902583816204,22.471372007792585,26.814870226486505,28.804118539003124,32.87196716920406,33.468442391601734,36.56615626862198,39.14700231682493,38.501012487453984,36.92335886098654,33.59003733418854,33.240013989925046,32.372853446686086,32.134544122366925,34.278924147173484,37.594793892993906,41.71056072596065,39.515408432121106,36.79306950388777,39.02620879133248,35.80613888380615,33.20396586841814,30.312996426279504,28.626662362677727,24.34275729296175,23.429783663649452,20.19005254918018,22.078283176715036,18.349322263191816,21.210921204160837,24.23297239779131,24.99291077892647,26.253650363416824,29.064870037655492,29.868031056207137,32.79985161638483,35.68868254941659,36.35774384994193,40.057164609048705,42.04760063249789,41.07388990040718,42.589623669733996,45.40724795583757,42.4285611765661,39.46339987835194,38.47958868835249,36.52136710481972,38.55790311886199,38.1219722156942,37.93717532038522,37.0604571380261,35.38416390160735,39.51241043539933,41.13333332026948,41.27370800991567,41.73205045607469,36.940630418595774,42.01237319149348,45.128257256875436,43.34445710743198,46.57254423005317,45.933965481887874,50.86919877405599,50.186772651447534,51.06321130711669,51.02005113972247,47.66564648561891,46.71125547570224,43.94398234884236,43.22763274485092,42.64729870329881,38.36289639808356,37.5125611701774,34.07948285049106,31.325901096292224,32.64655433102639,29.76263418834099,27.121464330557266,28.235034548984977,28.729952628664428,24.132565045930814,23.055432304299142,25.673522203215377,24.830425601858074,19.593802543712528,21.0256579814361,22.260643170351184,18.114504405628054,16.860121225590852,20.682554118042862,22.29404150499801,25.458733477325218,28.99984754931496,28.53857107615237,30.178510349856005,35.329316956913445,37.49902273131032,40.24078964525022,39.98282844280709,40.05256120502688,42.4223384193698,40.05572490120543,44.72220502747002,43.92692546863475,38.386993392125326,41.135453509793635,45.22640956178346,41.677549050089254,39.80850517499688,43.566898156938144,44.35987324512959,40.309278595561324,40.19027147376255,35.66755295381279,37.34225888326593,39.43190840067037,36.59497020014024,38.18983200782254,38.5422281232577,36.22201151198259,33.88543211875675,33.712055539639906,32.976417343951255,29.079263046933736,28.239414815972967,28.18031402169073,25.40273876945997,23.596971985029395,27.436620082193425,25.976157211678466,21.22460080697802,24.089508843662536,27.818890430701373,28.444888611479158,31.759803009876205,31.95922861398462,36.10642563015606,34.02220447035823,29.772464584588743,34.235052588767225,35.7967171177427,32.77685552575937,32.99963215798753,38.62109320488815,37.38834701848816,33.28148947659375,36.61750158130645,40.70189205275345,38.6852963711491,35.561221014637674,31.115636814702192,35.361453695729985,31.797345391682597,30.294096085569304,25.723247483069265,24.44323557808734,19.765046530850526,21.757693538482773,24.05336658803913,27.901929513941173,28.328572462204306,28.319378561767724,25.356868548418326,28.635133753958026,25.995562729015127,21.614727043496234,23.32994769525038,23.25745562019135,21.790817527590765,19.411291062763336,17.668729931493143,15.639372489117196,15.344395681621034,13.525441080032481,12.608527128710437,10.048281843472994,9.076708996880146,10.691352721612203,12.707194734850756],[11.740453576629971,12.872004810349086,15.718073324971225,14.10164924059117,18.40500242595633,13.205160573402646,16.011462979365373,16.905384381875916,15.560263583771958,19.557417776013633,20.62283465801809,21.134067923088544,24.3181318326356,23.414860886569343,27.004757191161087,28.651404767644923,29.452523970647984,33.84997479727604,37.48986166713612,39.64046092225088,43.310354865901594,46.93193076400919,48.40655867376699,48.344251286333524,45.337157836079506,41.223769964055165,38.75907576474487,34.567133852773466,33.90837615574923,31.980705989958444,34.08085811375906,32.36819483514471,34.66609043778995,39.173956165717875,37.97243885725873,37.69561488117473,36.14641937297579,38.77924972307892,39.24111879973129,44.70595326600157,43.215405428531945,43.82054899344004,47.79162490102057,48.32965515343499,51.03378548685954,51.39333294586282,55.266403784540586,52.80238467672661,49.64650039079012,54.55756390543127,55.0528311632099,54.768811506760585,54.84319734771582,49.676770283886164,52.35222572235579,56.041111085586515,53.06268543990115,50.80101989199928,55.33639893491852,56.84060617702698,52.67212191290108,52.787285483150946,49.77872292627623,52.378391198527886,50.91926234005991,46.73240805096444,44.19482922060607,40.251308189700126,38.423190068547314,34.9212949884577,35.084879232746026,37.00487968289618,37.85822048097081,41.991418983812,40.2099755124689,46.02447984923884,45.41164702050896,46.92955828750704,46.45155215016058,48.412840566697284,45.60072970955596,46.01298511871688,43.08401721378246,44.017139692163695,42.168857143996185,40.210460017990364,42.41437899752672,41.43786289422892,42.064934496072894,43.194399477004715,41.23472469241098,43.48369598871466,39.530909084384156,36.53907553542453,32.190915131093284,31.517822586172535,27.682967255927174,29.34028953913502,26.281248155485077,25.692431051131457,29.959878361008325,28.513894889365403,32.3780050117773,30.34120018389354,34.972865440853944,30.48802195757514,32.30675924054481,32.82643403293537,28.65717701317448,27.15782446408917,23.228266465405376,25.094071314288044,21.496438712780026,24.49135147176686,24.796725704975103,26.90760361299378,30.046341769300167,32.22340657086979,35.76340954049922,32.45884171213765,30.170765133035204,26.69791665721993,26.362426673502164,23.644214175366994,20.399974191256863,23.598457841798332,20.113353764663284,24.506111281747973,26.73194872514598,31.037321961905427,31.358054234595862,34.75690446209353,37.0754954559893,36.71252155003439,34.67680099767139,31.220054416518256,30.622405255412914,29.55565725138026,29.12315526156729,31.43680953407788,34.51953713793611,38.75835046760225,36.74475188284551,34.08608546510989,36.54555728141453,33.541997704489496,30.81270161037915,28.228598192245435,26.739970284771623,22.57461213804883,22.168758396603295,19.298872451990178,21.920808368727677,18.8738647785972,21.340029463464337,23.926673052076865,24.087540980095458,25.30753031904868,27.754575650312123,28.39196220643418,30.788511965549343,33.71389854572088,33.926897260782056,37.82932340521328,39.56347251857455,38.29172065565628,39.986896671992326,42.633881715362136,39.66257804214013,36.606513394362175,35.82447537511104,33.88373701082115,36.24469589484734,36.077240808897216,36.12295153192444,35.60605287551309,33.93851191046953,38.35980466819884,39.574402024092755,39.8335857896961,39.85232391156679,35.25798196229379,40.21839520734472,43.19981553636317,41.23086279116774,44.43158047229769,43.74014156940919,48.604179804940856,47.61904370341274,48.63568134523514,48.55000374737644,45.30879618791716,44.33639288422613,41.61344436908672,41.01462885402391,40.480848755239556,36.08363978709377,35.54117796230158,32.1638095407996,29.644605311593583,31.310679063746953,28.722416113924783,25.717486744696753,26.755140501745288,27.79140692134142,23.21484171846156,21.445373409969285,24.60413742759028,24.50564948446465,18.825549318400448,20.170480149420086,22.022745265829812,18.1397879362125,16.233472723158535,20.329919348352274,21.387007019099876,25.2529685264725,27.847218976241663,27.5799292086457,29.680041662787293,34.75774568966885,37.27194087691146,39.82541615083656,39.72209648049594,39.53755668745266,41.92609114690777,39.44748750426424,43.957857885371034,43.085631442347776,37.34168695827876,40.05172367216824,43.97764118385171,40.27511272807104,38.297388154563606,41.978385069203256,42.607296655080084,38.46480311329212,38.180430081594615,33.9327001782449,35.836857736560745,38.17933919414922,35.72711613008437,37.48913361221764,38.31229081241208,35.813636612067704,33.19506886303881,33.45306896154477,33.06435322198244,28.837245198152928,27.98049802921187,28.528902152153254,25.909802052883265,23.712980793157726,27.85068434793912,26.85997748769007,22.051348278587064,24.575278070102428,28.459795525444363,28.623894037305767,31.87971040270112,31.777087102247858,35.84306213805558,33.851184968569854,29.201447920569787,33.50612301653264,35.06722119937808,31.939013657312426,31.754141046301445,37.508761625252205,36.20788414348652,31.775470310855013,34.96975395766039,39.18949011308449,37.09708515762572,33.764658291699135,29.185388746539598,33.39478984773985,29.698019366476043,28.685054259030476,23.812704497619865,22.76834231803013,18.038735383529485,19.51515921411872,21.717170489936272,25.502288006343086,25.873877982384982,26.29909516428853,23.18164699868403,26.625970668416542,23.77553050852188,20.078024345054487,22.19274679566887,22.670384831162686,21.272390053163065,18.19237164062237,17.116530921891343,15.585265701759413,14.089942958281787,12.22432124773817,12.53701453502787,10.538189116235227,9.466606536235055,11.603221944755127,13.730000208682819],[14.49128090297173,15.968315586341742,19.203988543533583,17.121604693780583,21.88927019364687,16.79287464694741,19.287076593364148,20.292587320992507,18.235435198230004,21.816247371754066,22.484294358678845,23.29102073189688,26.657723245080213,25.15644596528798,28.65715578076084,30.672983841292062,31.51573447505448,35.70250657120799,39.15728403928887,41.65799086443393,45.14053862312697,48.97838179031859,50.240142606601275,50.175299774675416,47.40005583054647,43.14417979521024,40.979137311150645,36.779971930399725,36.15543436340349,34.4080557032842,35.88647127410849,34.687014946115056,36.73971873466188,41.15457321878351,40.248575132310734,39.92448896641175,38.76257893891189,41.316162147700936,41.909698624500294,47.60024241843863,45.85831080797319,46.17457962576473,50.24978240508561,50.93958348362688,53.54998096088819,54.03436551750749,57.90596328555181,55.47262101740137,52.480808194699286,57.50602460591873,57.99237208881251,57.86120080016393,57.82884534396334,52.651409653268466,55.25222505399686,58.82595888448586,55.71265965620955,53.377953146966895,57.88013713330545,59.33113217787459,54.95721408846265,54.86514699537892,51.77976455350103,54.14400676058527,52.871254537656036,48.78684579863461,45.83314486650245,41.92733680344424,39.75111380101603,36.142532606065664,36.07819448975123,37.61123366863755,38.773164981292595,43.09272820920514,41.62933780324,47.43501842432319,47.23549524279433,48.786828617238506,48.60505610763877,50.78048825830289,48.23493224932972,48.863176627523714,46.14875599747849,47.226271151027554,45.270554986403226,43.13176135694023,45.02362222327227,44.08318945262103,44.310807035877104,45.29370051746762,43.037574278311446,44.937256453027835,40.948268399716355,38.07490808299849,33.804625375632774,32.73343589382182,28.97846380257026,31.233910217591404,28.469921872657334,28.155233609250203,32.60935407868874,31.694668481746312,35.483324157751824,33.852974631492486,38.62932151054589,34.247421625284474,36.24697524282793,36.76255509461516,32.60497103128334,31.080784989495694,27.095251860560733,28.65944599354545,24.809026114797806,27.508470685490305,27.302530392849267,29.236919151919157,32.167509642673025,34.17791051462234,37.386624964511306,34.16869809102082,31.692214602175664,28.37680145596093,28.124488229766715,25.777786256299628,22.917807057630693,26.535574465618488,23.607994125398026,28.011593638527067,30.431692472252152,34.784149091133045,35.066284971144746,38.60499983020192,40.76849429535764,40.47226717378592,38.217106872909795,34.61874732165302,33.949677066641,32.563650264004735,31.75726723556441,34.09859121847382,36.72622628961541,40.972425361599505,38.95424042949772,36.52928687596747,39.12811876503533,36.14844195906147,33.469391383497005,31.059815392544415,29.9075624667909,25.70776232879843,25.69113463478598,22.542335581548635,25.282242569631972,21.811810240111548,23.972269204474394,26.869965236976842,26.990662946963997,28.62415013831508,30.774205824707337,31.844646319566408,34.06871777183166,36.69140343736303,36.8375981736625,40.81662156917177,42.60767772851979,41.16573545689498,43.15525856312858,45.67182371703572,42.781872048753904,39.584314729784865,39.02193311837431,36.980996552305776,39.507567192292484,39.40934748543696,39.402488701657944,38.98123393772106,37.02888584873946,41.60329092158662,42.82126257458641,43.2766160396849,43.2546102971508,38.85775244588994,43.86955319644608,46.8152003572304,44.70831544575712,47.712283179096886,46.79540688587261,51.70001401694027,50.51980291372242,51.79056509025983,51.78035919161623,48.635737621452954,47.76201423146266,45.11638499406347,44.62610283054694,44.130867890571196,39.67263615354249,39.304735417733546,35.91950614440759,33.55090899899697,35.24466202696518,32.75932406808041,29.70616968728313,30.584259008645645,31.693114073313232,27.182488607224148,25.12824022697591,28.261760485659472,28.29475296721782,22.561034783368843,23.59885579375356,25.376156646209875,21.62493013562116,19.38051219057783,23.147310796157708,24.308407038193458,28.15935019997064,30.682390269346172,30.80812291002988,32.88999539481359,38.04703745621963,40.36094480675952,43.125506704581525,43.27027750919039,43.23583324742362,45.74169575739829,43.387038233859094,47.874817157780384,46.86598142863713,41.17139522139674,43.97363054263859,47.785423734495225,43.97247235650025,42.083593313418135,45.793306084360204,46.204311400314104,41.993779647084764,41.83644357376292,37.677087651095945,39.77606933331124,42.15812042668985,39.74298279631794,41.56018229387042,42.349657857540215,39.88897689798943,37.276124561682145,37.46772008147507,37.060694477107226,32.892628937383456,31.979166873600946,32.405148261021935,29.758848694450997,27.589451696120364,31.55870352417949,30.42165316869174,25.596984384776366,28.037737589259425,31.846717451709118,32.12845305405436,35.53928495023038,35.63000740874885,39.63850818507003,37.4308828261299,32.888881508934475,37.30035202746595,38.652888022127854,35.430951112422726,35.39692479559313,41.08858296921834,39.507639434032434,35.0949538510128,38.448601322892856,42.52843147379089,40.16883379487208,36.81657929564526,32.15367912616482,36.04133456346376,32.09889019295407,31.199441298380204,26.374372269604258,25.85930274317574,21.221684767191494,22.10506081953513,24.58773292453208,28.255569241774456,28.92209527205095,29.7379020239435,26.802378271293446,30.387703256653758,27.464465644529817,24.04837279311882,26.249815168414106,26.74890011421177,25.285114943183505,22.234493268713955,21.165776963778868,19.56346253562904,18.047148325944317,16.221589950880045,16.43435789667253,14.311309178987145,13.102793735008625,14.842586470530525,16.61344438531503],[16.847036979439423,17.54611511925104,19.781180140834042,16.750886090928827,21.133608912608647,15.798637053121285,17.43453871865625,18.562489083533485,15.63641034791288,18.621824665688152,19.0640843449476,20.37737737894491,23.5231577704101,21.50094217540471,25.041347648676346,27.302517391975908,28.019432161262984,32.03473757958559,35.32023923610673,38.048234355769935,41.382731285005335,45.355526365744375,46.47046935396146,46.43238243329836,43.81245463025046,39.47204402827571,37.530896452449504,33.345046071919974,32.7678420597628,31.273383577027808,32.386847977460896,31.701862212874484,33.76660319376538,37.98887269615694,37.1513892180081,36.61964997049829,35.84579022669321,38.16142630380534,38.85997491816656,44.7661595106115,42.78270689195775,42.80473638700137,46.95652629978161,47.79078624807129,50.33035230514566,50.985437159891106,54.82408124563865,52.38231313767116,49.5983455859637,54.75529566866397,55.19448839528994,55.250490290611666,55.08782824309797,49.920173664330655,52.48023184775573,55.87070341240922,52.60049729873356,50.24939913588145,54.72931178878867,56.05981902129747,51.52149422632208,51.328855070376285,48.25006609867133,50.38829256449241,49.197911491855066,45.21230773143727,41.981184006505565,38.14474183729937,35.744760860059756,32.14205698338673,31.93868687448347,33.353710895902324,34.67346100978709,39.02241609693725,37.791490673442055,43.65966637032797,43.62382153049652,45.33357433307249,45.285385538199066,47.546155532262304,45.29220282423142,46.04683226492738,43.673540096587296,44.85055402181481,42.71416716304367,40.40092763668514,41.948418162308464,41.188999917876615,40.98988865709403,42.06922840475859,39.552559090069536,41.33082312519494,37.37929718248044,34.69637900316631,30.37804925591681,29.236182777281822,25.39851538047307,28.206529480582233,25.724548093327915,26.158230460782335,30.233104478663606,30.014030686425077,33.34963290551139,32.29902023728869,37.153747520804835,32.980316801410886,35.50574834259061,36.028013579387085,32.04336907700727,30.31747171150204,26.234768621615736,27.033403575516633,22.7977270207872,25.08506126557223,24.240699120582725,26.071090532982094,28.727884977872506,30.704500272375167,33.572699500260626,30.384560362848894,27.831035529541435,24.637229133326287,24.602733579304054,22.55953804213906,20.099747172881703,24.252555382757198,22.14639638206466,26.494098690419236,29.292692392962767,33.54900429372124,34.13533364462733,37.883432644767176,39.62963063785767,39.2215600322348,36.70940453587522,32.83930582999059,32.51415782853243,30.50248244742168,29.270617434256575,31.389990710886767,33.69219284251937,37.78792280409046,35.62831478447044,33.41714419772089,36.05376695524423,33.07601611898766,30.49207744213442,28.28002426136331,27.58043267536696,23.42956652278351,24.146519076531806,20.894155571150147,24.271686119989905,21.09868316859924,22.456302507846036,25.180864117248905,24.81169765270093,26.86920731214558,28.419245111938388,29.98806383995995,31.857945901762218,34.02916010019451,34.16462463058166,38.15788721494339,40.14570484039109,38.721115945657104,41.09087585043417,43.6243382797524,41.02334896478237,37.57035119061698,37.15441780039861,34.801617144398385,37.3375470011157,37.2478227699999,37.13527192107633,36.92431163023873,34.61576975872461,39.45913919290631,40.519022842384175,41.29049351089975,41.16129795929851,37.16031072288279,42.279687585213765,45.183890208470025,42.848921239951615,45.448116721118986,44.19147671273776,49.16738576470515,47.864732892147394,49.46496850035196,49.67240783397191,46.62548627709236,46.08170479267865,43.66627079476587,43.478628128519716,43.333128750754014,38.88771428050673,38.89610806316988,35.85631015928925,33.421557809990766,35.726541104439846,33.24464509369965,29.916990865941006,31.260971602220646,32.79157574717584,28.195581049477056,26.06838531303497,29.744108254998867,30.05788763879951,24.257010201960423,25.603720793116707,27.7908273733763,24.02392521284915,21.850431958658987,25.954383754582043,26.683087342952245,30.946360142629413,32.83345098426041,32.82770829034377,35.239526479216394,40.24123167774998,42.92610776595035,45.38537548365207,45.34043150562646,44.939371983118775,47.2374856623099,44.5326162188505,48.930746440545164,48.16086707021784,42.21983483310618,44.72401416122166,48.58921998049377,44.83967634720041,42.631605224901485,46.08119845632345,46.72092749626861,42.52875234909518,41.75795729590751,38.015591075085624,39.792185973393195,42.469889558608116,40.444537179064824,42.065687266585755,43.2665947947281,40.35225842252137,37.68108454825814,38.54804281479597,38.088046640136895,33.61616188985239,33.17308390175564,33.97127017510179,31.31031383838645,29.24749346858286,33.602364036965426,32.67109661803302,27.90813241958504,30.520829442277318,34.43593729529118,34.48275999204964,37.631793084066366,37.25992167842166,41.333620879717095,39.531049211523964,34.64691096555561,38.73324829314488,40.39843797883465,37.23553200321355,36.630877744936605,42.49105416905504,41.17913564497958,36.448558389087545,39.394076820926514,43.77361998223611,41.60187805511404,38.04755445059488,33.34499312980271,37.35088011473356,33.416703300762265,33.0762184985328,27.959783605940512,27.38359156611454,22.730018160988557,23.350541579515045,25.434616529275402,28.988062607639677,29.267941050464323,30.3397314160178,26.820176649138155,30.178769262151047,26.73514777920464,24.305544041979353,26.321981404089346,27.354819594151454,25.371436894399217,22.222316217566217,22.17350334733726,20.366100073212422,17.741988305708944,17.158349959090167,18.103412527250626,15.661828050011733,13.936942956782657,15.536268187600387,17.023988349116944],[14.97948235357506,15.1568459227526,16.86793190060377,13.620010291079241,17.895188346455733,12.67584240911131,14.405868013921493,15.947134523937246,13.318959114908774,16.369729747715315,17.356387686316324,18.84994409758732,21.473349047441612,19.64147218935954,23.559594386601447,25.59761222209134,25.978081093862016,30.18805684662454,33.41897402204067,36.00821068999708,39.41502687462743,43.26175450842932,44.433968930139535,44.2716976520959,41.53654636363084,37.267046325655144,35.17812711521393,31.00925451077385,30.63022056764883,29.219581874882913,30.923270111232064,30.035948601514082,32.462824084051846,36.668197310470994,35.48421636139782,34.769098673284084,33.805128096845195,35.8957277163294,36.38496166278304,42.20277276927732,40.17777057122768,40.478232321190674,44.63474646807689,45.29719340037827,47.805991823271754,48.31340398385658,52.2076238692877,49.84990775479545,46.904680397897614,52.00766494372327,52.579702521112004,52.61196266229883,52.58841235931822,47.41512762177775,50.1628540262079,53.55372497107818,50.26676047441912,48.08292517122035,52.6427705623488,53.857024887461066,49.42844828612864,49.50161140176347,46.55904573162239,48.72864599723228,47.31525879529882,43.30450193166261,40.27921344857417,36.50459449008208,34.20141649160106,30.79470480232507,30.617906290788273,32.36520946362447,33.62610446478715,37.78086118769916,36.48183320735029,42.478915507066546,42.07314481891938,43.93732487998603,43.61140085368481,45.63813242120982,43.27155918050698,43.75066619087177,41.36908055144483,42.321203418133656,40.09400577439469,38.003444321118685,39.73143991554327,39.174278820029514,39.12525890794322,40.56043721042254,38.16596085347926,40.27284790573097,36.38383287453551,33.71866890197144,29.235518640862953,28.49349300819352,24.460430051008053,27.042910568490726,24.383143591750756,24.966619260444407,28.598208003766334,28.100689783491845,31.238492273039615,29.924462260134945,34.53848076130812,30.21644064259653,32.72861359797847,33.06377445330743,29.04037771452934,27.4834797295132,23.286549909138373,24.071672290142008,19.90399461843698,22.143036053017187,21.635958574151637,23.389816386434845,26.296556070900092,28.21237286920617,31.46250704165902,28.37435432874049,25.81163797528835,22.497800847330986,22.14168892463194,19.867540659204092,17.199343396944105,21.144371735807088,18.994810379683507,23.33686260185507,26.146538171132907,30.490951110803614,30.930968523410183,34.74355815567009,36.438878541941826,36.15871075498561,33.529937941730815,29.688886439626664,29.251133538989524,27.322177681441136,26.204383348107452,28.426735465659085,30.88726727917146,35.07597635232107,33.038056018932025,30.700635178882862,33.39407487816759,30.534645717150248,27.83028689094648,25.69447383873574,24.89417607902061,20.852471365492573,21.62730225867254,18.799851994733064,22.456687397501998,19.926249602614075,21.29027654461817,23.56087746395443,22.896565939161327,24.641544117069028,26.177122449200024,27.352154999406547,29.012446185133268,31.411301239309978,31.306920094869007,35.37732569943515,37.16335171817103,35.662098371840365,37.941197548904675,40.451317437371095,37.79314674889775,34.38319836935711,33.95017876645588,31.681056617250526,34.31052035493164,34.33906009253963,34.40179390717007,34.33326734679036,32.2324610761176,37.12452376767316,37.95361406354184,38.65166623486345,38.298175924586225,34.28034705871129,39.28555780308255,42.13030016399927,39.787780340255644,42.51156750939188,41.3854174667523,46.28731425211348,44.93500940410955,46.43866331914907,46.56202569515712,43.517919070554626,42.88637311375613,40.44244452183265,40.2438594031039,40.08738219901018,35.63008915068802,35.70030367483404,32.707060759431045,30.33607823503924,32.780190285892964,30.421763006898114,26.97047506074132,28.34295208552337,30.090541449340023,25.53907308968284,23.246914844943596,27.150040724945736,27.751019863949875,21.887529134501673,23.31912446355533,25.785528879765884,22.155835660898376,19.92445937749505,24.205550064832035,24.61109157274085,29.128508000676295,30.586399066982043,30.466955542172286,33.07500292365116,37.95206113941685,40.87518505692975,43.122697665364804,43.025171987320235,42.43204642785528,44.66792452315113,41.86928996513659,46.17810886990263,45.439374885645215,39.41456415106534,41.840985593884206,45.6607057247601,41.91287489655873,39.62184621659633,43.0048367762095,43.66937098991651,39.48870699431293,38.57873817861417,34.94706932622648,36.732481431721396,39.4964416617632,37.65179753446902,39.32551438333588,40.76189855757886,37.77564259412095,34.97673840954743,36.06888984067914,35.799529138238,31.183397747278736,30.753417030772887,31.89309930293492,29.35482356697432,27.119189348188247,31.631825380969612,30.999568605595496,26.282271756985004,28.7400071616639,32.71244290332978,32.489917522624495,35.50240958016885,34.899123391823885,38.92513182297478,37.2866314837254,32.210413127438336,36.1249652349749,37.88036210992272,34.743705475244035,33.869481690854755,39.77732356392831,38.588877374326415,33.73091020732043,36.49653393522009,40.98625797944115,38.935150365878094,35.31618020414386,30.635732436021044,34.76293368599358,30.93003077879494,30.776515654208552,25.551550566786517,24.82483593725456,20.20261193595352,20.832703957439897,22.665665303393762,26.19521985628337,26.27478406777519,27.358328628137198,23.691754719567847,27.023849794269992,23.531132584656312,21.38899666500256,23.53259357845745,24.822470515252924,22.94688526665117,19.475586155485303,19.792986249858213,18.309451610118554,15.134569928742225,14.63409053044152,16.195996466472614,14.150269054613604,12.521500862160497,14.428912958549896,16.06478705458544],[18.284800500485808,17.88028720599148,18.70846465642629,14.552455993063889,18.391541172244963,13.60587547330733,14.228345521611024,16.195913514525923,12.695365610390464,14.517143974207142,15.400125410452365,17.791791971586694,19.71357843881914,17.029845844716284,21.184448578677447,23.527749680665167,23.471774886338117,27.43601552405852,30.234612159682957,33.19843848642807,36.33777151790015,40.35328588033893,41.25126813676593,40.99571877029143,38.51577965904772,34.13946706188237,32.410399765886055,28.316656765962087,28.214511533832308,27.31250759233641,28.661577925689148,28.52637923782356,31.046563347226932,34.91580781148718,33.73791215579458,32.629403866375206,32.189651245674696,33.75326699986336,34.251140684240696,40.30984054249086,37.83815383554245,37.87376807998133,42.16044014663135,42.91943451972863,45.24068202564523,45.86943397125373,49.75785136596834,47.50627775525819,44.75933516705845,49.987529294098195,50.622648040872356,50.92127109412639,50.82130859136192,45.679550589102774,48.47647516960295,51.59224618667323,48.062711221676096,45.97038419257252,50.524738006841496,51.478391067039404,46.855583352597236,46.90839463426218,44.05142980680895,45.83170679073019,44.451323756840154,40.62137046184758,37.19307925489555,33.610021241984384,30.89041471005634,27.62582171475217,27.12088809482127,28.71290876593114,30.351429858345742,34.476948603407536,33.6303349123385,39.7511880367932,39.504804855181106,41.67153897307745,41.46087415948893,43.51126470532334,41.54505287347957,42.06121909753484,40.172008100128224,41.11865172634489,38.591345391198345,36.422379227712995,37.72347635487181,37.550592166810006,36.91822040779274,38.63328721169551,35.8897910023296,37.87409698631246,34.091167084775954,31.759863877780113,27.219673470807336,26.46580704956733,22.325523266985197,25.67817195751001,23.44214869277901,25.015146746032745,27.970522856534828,28.25188304452545,30.701546813942585,29.998848703846082,34.488610900568375,30.387146690442897,33.39507599857558,33.57845360653457,29.761526615910693,28.198054553108722,23.929886886404724,23.805719433203013,19.334282376094095,20.787795425801676,19.53393219013768,20.88160426191771,23.498264175113267,25.129002424164,28.07029042744927,25.232027364916235,22.4325416256863,19.335443036443156,18.95992949814715,17.209617197540954,15.26122885636384,19.741381215535174,18.890829181431336,22.980723572983493,26.177955263224494,30.431579854627895,30.97107844195561,35.035676580387765,36.19778257020912,35.981763434426924,32.915954294757306,28.829444879357258,28.557131180558567,25.921335447425648,24.210513539906795,26.285421255929425,28.13381387852,32.218276836726346,30.175789262552293,28.165552093598055,31.03259287682013,28.351942359988055,25.721297860741117,24.054405005863302,23.895164200630493,20.12995919246888,21.872505878523892,19.250964525464106,23.54552889427036,21.552210919097554,22.029335710512335,23.918908090585685,22.581909705673816,24.67742097366088,25.39244175092991,26.97063285237684,27.952981945549944,29.84372822763376,29.455351904505815,33.60690711886259,35.41529425852405,33.74335376183287,36.49700459457275,38.866848675816264,36.518167842319265,32.85193806675961,32.720244628383014,30.199826626263423,33.00763497107469,33.202282557463384,33.281240082307065,33.59844110585124,31.179261157742772,36.3863794559009,36.86863410245988,37.922267938206176,37.25648613490663,33.785494433365905,38.747706482336,41.44381075220061,38.82040572218419,41.108181016709075,39.62364175990081,44.51050962600765,42.860196021446264,44.766050306859874,45.0696000847768,42.216465272372744,41.88460167359054,39.70593459952802,39.84330047679036,40.0052962696581,35.57066301448591,36.12855412342244,33.5003855404645,31.27923598379629,34.27232126719305,32.11846957042823,28.418944108425137,30.02512373737193,32.24490221980279,27.80191270399329,25.237797360226917,29.55880902244859,30.60768077903154,24.75723184470583,26.233617249216017,29.045279149836468,25.620265484572105,23.275034177515526,27.601588421243395,27.58542888054434,32.44972922287737,33.13617069364539,33.08771187958394,36.00854255603909,40.688962097242,43.88892785501226,45.88764432589891,45.77352195649461,44.878419897499185,46.973021621003696,43.950551107849144,48.07323099674494,47.45488631601961,41.274700993654804,43.450702516710706,47.16338777605102,43.429415795995666,40.91527236926219,44.02209257816139,44.729945249136655,40.57646536384647,39.168329505191664,36.072405981173866,37.71473179937632,40.76508281585127,39.40229562834572,40.981408234080845,42.86008696661198,39.541812703093726,36.64845776745259,38.34570675337054,38.16412503374156,33.33024007499068,33.21806121128272,34.75671550030188,32.3070473731724,30.081434441527954,34.79396668225063,34.411860950245014,29.803715906587765,32.202237909985534,36.20006013348368,35.71885486982135,38.524862574705864,37.565792228335376,41.52707532671014,40.171977186651105,34.848971374900444,38.42767594518106,40.321713596071405,37.22428401445769,35.85309629680413,41.80262427333281,40.73696554477693,35.629651827703114,38.01800886929807,42.66818318078866,40.69716840678703,36.91378141722907,32.24760628764098,36.265415399954954,32.420022164951035,32.892569319363055,27.529231426319477,27.001455045072788,22.59401796906112,22.668202793816704,24.13428504921561,27.362296085546973,27.183476077903478,28.707552395048737,24.71365167609376,27.83438406266872,23.942879758932257,23.065148430561432,25.138435768148955,26.97022470595727,24.81775857063427,21.20446484073244,22.454466438852165,21.060685045751573,16.965379901810813,17.387489967008797,19.588817191588863,17.605177321359875,15.772990209465183,17.448032810529106,18.70008027154888],[19.19938463594509,18.403043027959466,18.85716498491689,14.117676922395997,18.12021903845756,14.406242578082088,14.830219464250899,17.616771017233834,14.29741176565861,15.221164422468176,16.565269234653414,19.600437035520223,20.494564459369386,17.359628624687385,21.94664426097738,24.28914695803352,23.475848022007558,27.324091309247635,29.496355161869545,32.70716523620471,35.58293961372344,39.60736624487014,40.223527927727126,39.64281878131465,37.36725054449262,32.994575624322266,31.524170912762614,27.604713639021128,28.09286579321717,27.76870357162071,29.358633227028957,29.638467493322555,32.46317876238758,36.03208490391153,34.596885678494786,33.017802212338154,32.80607564836498,33.64949676396235,33.85201958518068,39.93943219014797,36.96648727228186,37.171312018823976,41.57268951896026,42.16021053193553,44.19185015254904,44.66162476844661,48.63595604204443,46.68591595179429,43.87054309249689,49.08803730627408,50.03218564592972,50.52340885711182,50.57738026174875,45.47908053549933,48.55956245098331,51.4346672416921,47.686286090978214,45.90476163857583,50.51880087747031,51.08676454371899,46.43606346589463,46.765195259693414,44.14450672499908,45.54827733346689,43.98265763078919,40.34986974707712,36.72515727666376,33.463242836343696,30.37919715709354,27.523437362699443,26.62760463412212,28.227965599098127,30.30547974184071,34.194365821441195,33.81720739484715,40.08946407270142,39.706877658118614,42.25283583786245,41.908959550097094,43.7378734920383,41.99438939140526,42.218811808772074,40.69140033625436,41.32943635143115,38.4732059651502,36.5870132927737,37.75726699812757,38.12169531319985,37.18083760990899,39.43056823654688,36.529206616179515,38.619528528795385,35.01175961597607,32.99298796482965,28.382546475968127,27.871384840804037,23.637724112998747,27.32061557476889,25.272526277620642,27.39264875166742,29.655382910421473,30.054015420059056,31.947096920923663,31.2473249853505,35.294816498748474,31.111820916031522,34.19639878100939,33.957819343290744,30.146838474388318,29.00128266072015,24.591845808351145,24.107375673356103,19.74504294609962,20.456388760658378,19.21616065815476,19.850473128697313,22.556691104601967,23.553760787884798,26.730004808621384,24.48253543755444,21.36826734428714,18.496804744495645,17.363979118932523,15.99096019208866,14.578475378873138,18.86707467222619,18.938127165063115,22.740225566262833,26.070181130303425,30.460158329444667,30.531816623855374,34.8417173395292,35.65247519280855,35.868660429395014,32.26094212607833,28.16209144199458,27.448141220073644,24.584154770213694,22.518192757717653,24.853177491930012,26.100594885813425,30.34407877649555,28.691397208366713,26.893335899761087,30.092756821187383,27.871077862263412,25.140852488188898,24.091326264643335,24.262684193003253,20.952904205716752,23.19343579774455,21.219300732351698,25.835673143118097,24.46933034133842,24.73354000554235,26.13764349349749,24.30140305712762,26.188570499346344,26.45906866657752,27.714107585928588,27.911903301935205,29.781090453904085,28.67607296056463,33.027553564038165,34.36696089510345,32.21062808841601,35.19937403363702,37.21533691422774,34.90287543619528,31.183658329089134,31.421001119860737,29.031504425398612,32.296762995029475,32.90155522746757,33.32036512386174,34.103102481355315,31.803210724605822,37.19198608434453,37.15160940258196,38.3079112667853,37.07138007653956,33.94593048880695,38.592431229655546,41.037439975779535,38.2308442213905,40.46123444990525,38.94621085642555,43.62785481106399,41.52839145737184,43.613599629759165,43.825745139326216,41.19155596761592,40.800536167754096,38.70995722256362,38.980662427167964,39.14769353865409,34.664394247998395,35.603534294838965,33.08259898256367,31.30286049398664,34.48358486915726,32.777719677588905,28.881121992517702,30.19647906334188,32.8603639280027,28.684273579282518,25.482828781499418,30.042264565668216,31.762425653989883,25.812316202655143,27.00161669737652,30.150118683434258,27.1458426266249,24.350579372753717,28.52694407817599,28.0734175129319,33.3039668226332,33.096268820644994,33.352892339931095,36.57899381046007,41.08974489258478,44.45603481195928,46.320476173413184,46.45742255249797,45.41431408234426,47.55367081019545,44.571196820063015,48.45149022798223,47.679303735613885,41.46769972391726,43.626240641792315,47.03034335360205,43.15902829433647,40.658326253868374,43.64918917265803,44.04432553888779,39.86157310089792,38.416117158193565,35.7175868489004,37.69462625409874,40.91295004235986,39.957558915041865,41.73778211184245,43.98565269851577,40.668808335129086,37.56056482799836,39.50251236863786,39.6904013752665,34.747073866780056,34.499422240160904,36.466197818731075,34.22906968178128,31.704080235963144,36.41944624626986,36.388425876948865,31.83092924024383,33.82406742551119,37.81759338757852,37.00050268982451,39.76124217716216,38.66592894406773,42.421262311049816,41.06649002660825,35.58171173733289,38.96561296389461,40.70429355653402,37.552773624490825,35.91059280027117,41.786618065450305,40.56693137292388,35.30571694765994,37.54182152276651,42.140955262800105,40.04366752027417,36.15476264143959,31.499070792842428,35.217120954534195,31.30336527525742,32.32037123161642,26.934330683632297,26.845052611590845,22.761793665681846,22.081436755688014,23.378126858783553,26.258494882798225,26.122478409675836,28.209562674056123,24.38833671153004,27.589449856746146,23.716785024835,23.726469132473333,26.148902204286852,28.34397329450319,26.497323210674743,22.4484960879375,24.062704960967316,23.23766767879131,18.685588400068603,18.84886967350111,21.664264723364287,20.261624108229938,18.629571214256202,20.45429331069613,21.70333773179005],[21.67361383308572,20.305329120899074,19.579934553934354,14.686982073553251,17.24705298300098,13.90799740965095,13.029352263062501,15.824020089469228,12.214557710033414,11.867270730064574,13.354696952757056,16.95616207000593,16.92617355191322,13.43855721960167,18.234138551346476,20.531059074976213,19.295709211298547,23.041139904655033,25.032809897881947,28.28815128932636,31.104953383906885,35.13192102401313,35.72137464529089,35.153959180791674,32.88552472547122,28.498407426018915,27.097400595546517,23.216361412945442,23.849278584213373,23.846893554434377,25.500223715706074,26.103229922031257,29.122527499330797,32.412867028226785,30.814351131154865,28.955943558589333,28.974140378991564,29.454680511770622,29.651490971193432,35.82074784559459,32.70135873043052,32.76819994612318,37.194921677171685,37.833624080205276,39.83355832203105,40.415894893831116,44.35031739605436,42.37556326699328,39.6981086111988,44.97720412243803,45.87223041378544,46.48104600947781,46.46691940502581,41.40880885486112,44.49333810784418,47.22264681810742,43.38574753186034,41.661274442652726,46.267984479774924,46.71864792809367,42.029872036324605,42.41782258569284,39.89000745282774,41.18098767845717,39.54966583903232,35.97216317403853,32.32704118020409,29.164681629883535,26.0437949147664,23.375731715969383,22.434770314504433,24.27164540798378,26.319786292055856,30.020832378427443,29.722911961604566,36.06289621483496,35.52363300712385,38.25661105102445,37.82722212073946,39.56193427152541,37.995825549207034,38.18314082923974,36.95633720566116,37.577688894461346,34.577890176254584,32.65173789822272,33.60172367802755,34.221142017083544,33.033586575528055,35.56386939336564,32.59362021257395,34.81605262687073,31.35045775435039,29.547820631621153,24.903911686134265,24.714270979573183,20.428900833050992,24.259235940105146,22.4703352973831,25.29271500691016,26.740202945412467,27.60496470268721,28.85171154609125,28.6050851419717,32.4740106726903,28.603352992907098,32.09340233807242,31.852796300890052,28.393243049065447,27.10296513721899,22.85389607613067,21.52211534214626,17.06761295496106,17.127540103776276,15.2883507038873,15.712093109130707,18.181347879339192,19.184221694217065,22.22916131877249,20.020518335516666,16.870516460881017,14.046724327325096,12.998546539731665,11.90354578729463,11.140136699531872,15.803489052024526,16.96939372155714,20.35159280008818,23.91093349063094,27.967473388889164,28.42858906853358,32.76675501170443,33.144456680732446,33.18272613325497,29.466460282479613,25.207818066877095,25.025943178960095,21.563064749582022,19.147161055082446,21.090959313050142,22.177562078418937,26.210313536391727,24.371518327263257,22.702875317036167,25.8781088949443,23.709200288600016,21.079812952046066,20.32483786344474,20.968674118467906,18.033366250465782,20.995981854556412,19.398407508819506,24.36880977951187,23.76561163513811,23.30818076072865,24.121742556817647,21.71865941760409,23.704486808617133,23.301790610263826,24.79690413640267,24.51485611627552,25.94667522903555,24.797478685295424,29.090827512254094,30.607384089215895,28.603795437198862,31.865149755353553,33.976358261836275,32.01513855782964,28.110599184865404,28.38719868534817,25.681639926144253,28.813264301714664,29.40113232934094,29.744645649726976,30.762233046143827,28.279263998632985,33.805381393637425,33.51957802052816,34.915931499192695,33.55452797129132,30.873016263408587,35.50528839626698,37.87879421719372,34.920409989472084,36.755284492087604,34.98411461088121,39.69184157713068,37.583127996741794,39.886795915415284,40.315599985492405,37.75707722238275,37.71223549482523,35.883018384710375,36.4449306306977,37.00336314419137,32.691314222952855,33.93392183678829,31.90315828913815,30.022811780133747,33.72757949445937,32.02941061461391,28.06393700601377,29.905292808822267,32.80701316570004,28.727202426862984,25.83706731623753,30.63346196055877,32.40341433885946,26.789608975273715,28.320288415688278,31.617285083302615,28.665639929834043,26.293554415274702,30.618940951984012,29.886848652341275,35.14970578779981,34.60499617409279,34.50480321167262,37.85969525869981,42.08143966324317,45.75949703258979,47.22957140544822,47.03669604455038,45.6246810319785,47.45361524164057,44.137211047306465,47.87097282315198,47.43851579228579,41.1166531379123,42.86616506998653,46.3332535938234,42.693830407949996,39.876869079001466,42.50664169556778,43.289005475910855,39.27427286594794,37.12157612822154,34.89603615450077,36.32263937710431,39.73761416488069,39.17636732105965,40.664546790979905,43.26009225425722,39.56996334410326,36.506962893505865,39.08097227574009,39.20399050733315,34.13145443632005,34.381376262885006,36.642636249435625,34.48844043822475,32.183383953574726,37.09450912989151,37.26592112235947,32.95167978877429,35.068953571236314,39.03373591038114,38.04262867071381,40.422879318677715,38.87313144846968,42.61680092297771,41.77162767740641,36.133189011877704,39.056335837995746,41.15585842484991,38.21392906020656,36.039008711353745,41.92901106482053,41.16949256810017,35.78557577149464,37.46237065205207,42.30921672020026,40.61819535430702,36.67963889607853,32.21769578173614,36.117319790376435,32.5131653830973,33.86189282385552,28.465231181100286,28.004230309450175,24.13245266635337,23.633844248880738,24.294987061149747,26.949994012592935,26.218332954629314,28.198250359692118,23.847976824348297,26.48703256023356,22.242773439642246,23.338685624075726,25.330922084549726,27.94256403894247,25.736274837675776,21.878159166600188,24.408853580263866,23.524596953816697,18.35255123935753,19.746106221925587,22.892468800359044,21.44327775302128,19.690278200643387,21.24770283980119,22.16934274911296],[24.353098285612937,22.78855792073779,21.87099803400463,16.71184115958259,19.281374089298417,17.257811463381593,16.30216705519181,19.59779729989349,16.335638675467848,15.106815310429472,16.734007988781435,20.72694075432341,19.70193617905267,15.803853113372734,20.621040402309127,22.900293331144333,20.811516336974282,24.08435097448118,25.040789474093916,28.67008802292553,30.964642607508527,34.99841508575712,35.107616716775496,34.10689659676903,32.26458860337152,27.9295534648418,27.073085902340686,23.59250381726109,25.006620385367615,25.814668679329486,27.455887465023984,28.714210495371773,31.89611995165808,34.70963022617798,32.94806767429495,30.551008276769075,30.99631655479926,30.527197494805755,30.3933011075174,36.52436703263787,32.72600846391588,32.879870776120136,37.40021762931219,37.865472275098575,39.408869823852406,39.832175528442704,43.817813631793605,42.274037373710506,39.62852882042324,44.86192043171179,46.1270855827952,47.03295455496824,47.163412442178966,42.236028246366374,45.599380112689765,47.93898386189752,43.82796462881059,42.502393420549026,47.09859820138831,47.02920502276442,42.29359630699375,42.95567755562888,40.74825860048652,41.441529080133726,39.66145503610916,36.45321183426904,32.46917486499691,29.843346468649294,26.191869163000597,24.160484282706186,22.625321848000837,24.251147939474446,26.946825545059006,30.275221044742654,30.731016022165754,37.1057087432226,36.546555854092496,39.71822218233289,39.23379246527301,40.732039887785845,39.57583059323286,39.4799520915254,38.80638296494011,39.096614106042665,35.7196243711959,34.1209517749088,34.75536651713308,36.04309384007666,34.35238225075891,37.435926695480326,34.238912899380274,36.419340165319795,33.24790194570049,31.91718345138573,27.38032202933566,27.34778361974073,23.18678240693006,27.398709670849748,25.972184753970076,29.293907469278082,30.066078746477345,31.170084776785234,31.77453932881444,31.66125951122688,34.98474148756194,31.17175637883456,34.706015996932685,34.01498282628178,30.670310875067216,29.85280605962343,25.603510253378104,23.869663822082526,19.76227489454116,18.842876270854145,16.952138072085,16.251461993234944,18.500090527262284,18.40488889020166,21.459067632142908,20.278633009076973,16.78054913410461,14.6644924094952,12.598533158728422,12.549417514950383,12.968547789006722,16.956517790179532,19.344348184168997,22.150201262460804,25.736137519085066,29.783518697772504,29.70239324632602,34.24010992002517,34.12185909591242,34.67440572255743,30.344336013507036,26.169502700222356,25.47471165086274,21.698779571275814,18.722552063034048,20.866293955571475,20.76794824104207,24.859214257403483,23.61761681872769,22.454986204475038,26.007909218646276,24.561414929236495,21.97650817619498,22.14559499964027,23.277835498623972,21.03453828253379,24.413487256792273,23.41274292486082,28.49598600232694,28.30468255022304,27.67124320216448,28.124213023019355,25.342607990036164,27.14485745644133,26.21615386464239,27.427282985319316,26.190709259765306,27.396235982901562,25.361932302518667,29.76940307735767,30.677210422320762,28.041128053164623,31.675627185742133,33.23617506378419,31.4500473732268,27.503824257398186,28.34748779033817,25.834670810566177,29.48272718304598,30.581207037160677,31.299691831731224,32.87564530051638,30.510114473581414,36.13603282243111,35.23967604039391,36.79992857883434,34.77538540689342,32.671558930891294,36.829096119500946,38.83489512366387,35.658790773592486,37.27456667283824,35.39507125816817,39.76513787897379,37.03741848301793,39.658030668683786,40.017448164453675,37.82508169083314,37.78288831246945,36.156276776449445,36.93530398746558,37.539120039405475,33.263783221465374,35.001680761934324,33.17324627344422,31.86551664418854,35.712259643881374,34.540684229576335,30.454053729566407,31.918767587639508,35.23609307806167,31.509572565853155,28.009554463602168,32.923079954945095,35.341995316248855,29.700887634285216,30.877576224245583,34.42509008693537,31.902548099628774,29.097330070693992,33.17275559031624,32.059873271100564,37.60205785950219,36.15073806092531,36.43276822343,40.05364424022767,44.066695804018394,47.85748549693084,49.205227521562115,49.31813411530735,47.779556020722424,49.654672967647016,46.424298513221025,49.85025745195259,49.24000240183087,42.95776670752318,44.66889318860337,47.730280803074095,43.967594425793784,41.20604881878225,43.6501392805627,44.03509051525579,40.04087587974735,37.8589962605432,36.18844150425661,37.97961268467064,41.544163965630375,41.45619081099786,43.14284430985494,46.09772315660252,42.45057724309749,39.20901455531862,41.99406982547603,42.48314164379374,37.371702598065255,37.46921666537026,40.093122901433574,38.147740198019534,35.58311837315519,40.42168216297849,40.891074043407535,36.629562816242505,38.350354590465976,42.277104494205936,40.99249649154806,43.33996920163182,41.703098551850594,45.19156456279931,44.319946994065276,38.59356839068128,41.29595195865675,43.17543469386844,40.19772042038931,37.7831866569708,43.499530586159366,42.54260955310612,37.068027716690146,38.55312437447438,43.25535242413831,41.41170345300673,37.40738796334064,33.039059203062514,36.457428905925944,32.819722097999325,34.79123723542935,29.50597887626335,29.605998952885827,26.18642766075945,24.853348165725244,25.3377840099808,27.468297958109886,26.836038359105,29.465441142489848,25.47850174154313,28.116241721451896,24.041129513290237,26.067916230940273,28.360307332818984,31.24260849157775,29.372123718614837,25.224707976519372,27.941672697469173,27.541673464917736,22.208106871395202,23.2154032239074,26.716299035512915,25.698081132904274,24.101991373971558,25.755263920486804,26.68758041214047],[27.895402680768463,26.170191489180095,24.63095501197719,19.67735321296712,20.954949681771243,18.76469674498685,16.67830365037969,19.28267537873748,15.628426187801905,13.084880862298254,14.127927225447708,18.43924247023956,16.774501049919444,12.350645284768678,16.774734735410316,19.175527263266865,16.90231490598372,19.687345144468203,20.433081028067203,24.292410757095865,26.427844510282085,30.619925633900504,30.660979092701652,29.88360762587162,28.15909152289256,23.71572852880746,23.138808300794626,19.71845342701113,21.034846882409404,22.1864458581,23.228016755907582,25.150373072954828,28.203851425248022,30.623096356565497,28.995102876503072,26.426985452236995,27.39705175958358,26.717499067223077,26.85990070061037,33.154852640564954,29.30533806084023,28.886935608959263,33.40730523215568,34.172568470248805,35.75409490127376,36.54462470572601,40.371724282638525,38.64125921785439,36.4037845251182,41.75895392361531,42.74142841144526,43.803168940642955,43.66742657335288,38.81420692617754,41.924269237321354,44.08821040307465,39.91252688388055,38.44711871610331,42.93285872607926,42.87310602029123,37.969742195779276,38.401098228076975,36.162004257856985,36.69480263610568,35.07554266244511,31.95245463595492,27.71665476285322,25.14594630972109,21.32139729888299,19.346332231642577,17.680858346055896,19.309208030205397,22.048444607164416,25.321252110940883,25.96438085877731,32.30864369499573,31.907356592542353,35.1706769937829,34.85274718331663,36.47393730704092,35.67123827560235,35.841953869784774,35.561409480552236,36.101800924951185,32.698978915644446,30.773743912391016,30.90076065375351,32.27729779594888,30.10287795355893,33.18044007727525,29.775805677872913,31.81273098180816,28.791875977911555,27.765634633519216,23.385643048898984,23.438049297868318,19.465030837436995,24.02583107867889,23.142289790937365,27.165212158154834,27.277744115243323,29.20351157924844,29.196416460650642,29.916417782132076,33.26510334835681,30.054290694696128,34.04912736440413,33.63115285400107,30.78094011911607,29.54194963771545,25.670566063714062,23.089504987352036,18.935251056706374,17.475441409010024,14.435770611837455,13.635908927932984,14.939790353225279,15.01704152413514,17.13742414386767,15.851552445124863,12.336182098550857,10.6501404913747,9.503144931563574,10.475732415378584,12.085761213720069,16.416819476429175,19.691251257841216,22.011027105272458,25.71680894428457,29.152415703050792,29.837833722895297,34.2115814174494,33.69757372339675,33.76593765975892,29.631094300839262,25.3163050077996,25.5947791232331,21.166388747669586,17.84024174564282,19.065912478210066,18.655822616121043,22.107879486859595,20.325372124300884,19.543320465018443,22.837470817516675,21.2767351287091,19.093307056885973,19.51299994099611,21.320396298618764,19.45891388304987,23.45487998016694,22.461643344001644,27.618304903139393,27.799473239037532,26.355038722894506,26.461120789674855,23.322513912517966,25.502475038912515,23.801626472905713,25.73140100370667,24.25588784743615,24.56952286857645,22.934765154089785,27.029071067110262,28.51788978687485,26.382696067994726,30.36340082578362,32.163608945972015,30.94976625835113,26.813888105181984,27.584929901347227,24.56904214960984,27.707000193004617,28.5341552043231,28.878674038523766,30.523043010156382,27.71203697546311,33.38439547778709,32.470867699826314,34.4022217499156,32.569209133146366,31.03741391259939,35.30868776462457,37.31684665422558,34.026570756617694,34.95366816770629,32.59279856020989,37.08448849550308,34.53507926334377,37.505316045935814,38.28343322426734,36.157656787145015,36.70222400420494,35.453989636073054,36.5802449306047,37.694618856961235,33.7139086775466,35.62477014918947,34.32890714817832,32.707761954965115,36.976878957060514,35.58113193624084,31.580143971800428,33.70960462437659,36.992209525387715,33.23881547247919,30.384095602613662,35.34746148344229,37.433785339769166,32.154608376039526,33.7490517390553,37.227545692783835,34.51217755654042,32.25489758900045,36.52231390982237,35.43655039205283,40.82140908753653,39.561458047441036,39.42035751751828,42.98560143718432,46.836896665228046,50.79495311270519,51.87585754755332,51.56330333627201,49.762623256362225,51.30191590648904,47.72490517176611,51.11091503070303,50.93464599966289,44.59048513890521,45.874504399474255,49.13838745753438,45.7054136274194,42.62934532310069,44.71618825164835,45.65835839391717,41.883915063078845,38.983172511511604,37.66213445784981,38.66535538962662,42.33228483488595,42.4579867433174,43.692782075589896,46.79208493980332,42.74864348148173,39.71982861576745,43.022488241271574,43.20516352523763,38.0669783814436,38.764079748367614,41.39287417917391,39.4009850202936,37.251801104130706,42.242369940123226,42.66880784550713,38.603474979151564,40.67415189459235,44.57045838099789,43.33934296702047,45.370982617221,43.39659430916917,46.975548410476485,46.58009362000226,40.824975379195685,43.19310578812612,45.48178665289287,42.73043912514901,39.981902071222535,45.71526205838112,45.25512584518235,39.76926449240827,40.802484478474234,45.73116709353617,44.317065529476075,40.33582853616178,36.15281853197154,39.81978938302902,36.469919936027466,38.46118651265376,33.1871486557134,32.81690599637284,29.400193641362705,28.54581654449293,28.65588226077281,30.748679253185987,29.61237079003341,31.867831222408455,27.3605630741604,29.34686753421739,24.943833694346775,27.574291178931297,29.1997547538713,32.25447509707309,29.83676188052967,26.231439902100014,29.55999262822884,28.755082669278682,23.21630918338906,25.413795841116972,28.800751537458705,27.388298389216583,25.56738668542846,26.821200877266367,27.375167649141915],[31.539049121603554,29.930204044343395,28.681839289256228,23.572202063532142,25.29457178844477,23.534615025284992,21.703656316194156,24.46431312748467,20.794899480001387,18.17613522304733,18.915253012571778,23.2450387145932,21.460794641152958,16.84283582448025,20.706798302864744,23.2288277887026,20.688223093892674,22.680714820894142,22.364609794895706,26.654824384548274,28.055152747104813,32.30547848735387,31.72996918033312,30.647140358946224,29.612647245605455,25.284582562874604,25.517669614877352,22.647910118602265,24.411923712655177,26.151209099824072,26.57254883816745,29.24107695313692,32.08612052332555,34.03880374889266,32.60188499089,29.746541218769096,31.279702187017474,29.963553751207137,30.009294037289123,36.21054802496251,31.82804787296355,31.174688015335335,35.68060193928356,36.45628593219941,37.563676466706845,38.355025699146516,42.09708082800475,40.74566133467019,38.77382442545328,44.055800053682574,45.25649077160154,46.633537501623096,46.49798123882506,41.842570249965604,44.99905418852038,46.73212009153559,42.33872901393557,41.126830618708965,45.45957987875386,44.972122289419936,39.956071211346064,40.37630341149507,38.37028375888193,38.18994240644138,36.68880228526116,34.060857935696966,29.28776251180886,27.31121621490071,22.885714086393968,21.460233508246354,19.13657193389084,19.97416271969168,23.514984063981878,26.503146533831636,28.086248963938587,34.216990000919736,34.203498103369505,37.735638290054254,37.650961336351514,39.248462334019386,38.99196972581054,39.15652125306023,39.41344744903153,39.85376647301059,36.237764117308515,34.43370792570935,34.07524526459703,35.871721688909105,33.08508710732863,36.31808306982834,32.601326563693625,34.22623234971625,31.502052146577565,30.965591364372802,26.906230940968914,26.735092494443784,23.112045804609316,28.14205927784494,27.675476990860805,31.944860831811404,31.89083045110761,34.160972126432156,33.84822138860414,34.81942505096797,37.92955322527133,34.840699328049546,38.842237988831315,38.20925839169382,35.417278134869576,34.42142765893771,30.548310092107883,27.861900669711204,23.90208539616388,22.05061801980987,18.976376760874853,17.541339088824046,18.272870247493135,17.371459313141447,18.6947060463587,18.486134210405044,14.959114295160157,14.358547924200037,12.965839510708975,14.799481101568775,16.901403097569972,20.728955629567587,24.438464829277716,26.515339817060728,30.1771936912251,33.582432313896966,33.917378659238196,38.37826071928892,37.541435670462775,37.93880919544813,33.451510439283204,29.268804502526958,29.181730439874745,24.637912779110653,20.975315731930852,22.203379515257208,20.538732330203533,23.67070131360925,22.426623282224043,22.357764909125468,25.76190209673758,24.800372354902457,22.87626382939095,23.901494731934246,26.022883485303584,24.48257558786935,28.581129847881307,27.636272120005476,32.77931323449142,32.822566468919526,31.30908310308628,31.484243021950032,28.300149029965972,30.548215223582147,28.574878375028877,30.533349278717232,28.580893877244023,28.55020245828606,26.451702736589727,30.434827073027297,31.5318371726547,28.9742156682792,33.26327225630891,34.54147022268977,33.57662824521617,29.481650012164657,30.730281649619215,27.904754152998386,31.306410354016574,32.44033549506809,32.944107848920005,34.89793575832197,32.05660197910618,37.7087385254302,36.47994589157372,38.58932383912589,36.40189839109677,35.363804270639726,39.29653975669167,41.02010192671926,37.59060578693528,38.1907619477588,35.63960617269811,39.7977249630322,36.746278336788606,40.08274270580526,40.877694332009135,39.12905794847798,39.7542635209071,38.72749800425484,40.02985059572989,41.16835695977158,37.24671452598986,39.477406363775486,38.262884564560586,37.032850676498256,41.29101117951328,40.19611670546827,36.13838501005152,37.94091602567901,41.41596827252038,37.81284156155516,34.52793373625183,39.51091959726701,41.94499503755515,36.51476048968021,37.821270624790046,41.400045084348676,38.85592362748256,36.214666974405,40.311216494308646,39.11100459115629,44.66869626169372,42.95196989588803,43.19419199597584,46.89256053641437,50.712974692663046,54.63772772734214,55.775774551461296,55.75899690945769,53.97456484407815,55.61552974440574,52.15897342235595,55.37772844995201,55.01895424298239,48.72833923479715,50.06311516769875,53.031950948617805,49.47417473508223,46.505723041857046,48.509605373308624,49.087226404300985,45.31043872624927,42.525052318224894,41.53578105042695,42.86616569778574,46.59224671733781,46.94942739789108,48.33653276060512,51.5797220509302,47.601836049517544,44.481388206669834,47.796025676122326,48.155757326277254,43.01168197434937,43.54834140117966,46.27671237621402,44.333033074567176,42.01796210024373,46.949167041897915,47.4379914473126,43.288642366308395,45.17347303126065,49.08057642555279,47.75922202544757,49.89710681549559,47.99221122380641,51.441668018972486,50.893515691777594,45.11763766904889,47.48227600408125,49.54077653348982,46.70307219116453,43.94420473535671,49.554283919984435,48.82676842897499,43.315804127237996,44.35986751572599,49.10492850600816,47.46002885721203,43.45261550085352,39.29103204173305,42.50630923934363,39.03043871735919,41.38815151699711,36.207862558819286,36.36189530191811,33.140199507965505,31.685830502913035,31.90034781180392,33.68229628715245,32.80792832714779,35.549095950669354,31.413248254252906,33.51960162362607,29.298097804181936,32.19457439773944,34.061214569751094,37.15924780115592,34.9138851120792,31.149801107855495,34.351833281512384,33.698520624791136,28.201138139749666,29.96256485104407,33.40317384763465,32.073253863051974,30.26261327411259,31.58342291367196,32.17328309759946],[35.410327568589985,33.51711299511639,31.540025215154603,26.679496494291836,27.1409490536909,25.695335502563207,23.00990634232196,25.23309123869118,21.734988877566316,18.067367239730647,18.430975635743668,22.717004481246295,19.943714324192527,15.43152639134141,18.39514454799289,20.64068578389918,17.624088426221597,18.634024644837083,17.446432224740903,21.938901835412338,22.86767205498795,27.145359580115496,26.33778498720603,25.331351667996696,24.584267720110955,20.3103952204627,21.106546040427325,18.710329942428668,20.67652751177594,23.08474993787466,23.061427534010075,26.46079951455639,29.23283368104355,30.48815720451675,29.031181535183055,25.81818482858052,27.954349615558705,25.98661628268082,26.13901395844796,32.248520765796435,27.69459400589415,26.516656947696852,30.93101404986335,31.899417253194308,32.87617867881673,33.96327628991169,37.499559678332396,36.116007730748535,34.58078188775731,39.880348148505114,40.900464490112235,42.50001749041232,42.17282739640318,37.725915162790805,40.70556205219788,42.089739309648515,37.61245861361271,36.47303849408016,40.627459507190686,39.94389685098553,34.85100357780044,35.22674673261206,33.4044169430039,32.844779681897755,31.386238632286908,29.04087073165492,24.055789843281925,22.503599095250724,17.85107299080462,17.09750660773294,14.44170630347985,15.323740511139164,18.99852315496767,21.440677798960742,23.501308497350017,29.469654635388114,29.416201041619594,33.20317488531354,33.14340366743001,34.638614083250175,34.87882879707931,35.12102100070273,35.98665870699398,36.48919726941958,32.799388453372956,30.89517089814981,29.93412898993099,32.10311818152487,28.745839160755857,32.24356719140421,28.40635299306254,29.977286590990254,27.681473215898276,27.69698471737868,24.019461441160963,24.231176547514,21.082573294792706,26.0637707264203,26.223331845829403,31.108748199415764,30.0263807015078,32.96648619133925,31.774662510031277,33.49324322233186,36.24805230703159,33.862712755222105,38.188865401536816,37.668728727042165,35.4826360879336,34.28855841050926,30.914277159599575,27.439218769672973,23.839922373712948,21.318456916649716,17.56841725734148,15.749617125539062,15.186266972702596,13.9875085411602,13.895315751410745,14.30157201009786,11.095604156290829,11.822142114249372,11.287663345643168,14.188128612108589,17.293740392727393,20.696755983115235,25.242496835577622,26.576266266728997,30.170531180583453,32.8397568580369,33.75022375798099,37.96555477259204,36.609303719443645,36.66436392864574,32.338932195589464,28.23318908126897,28.97867020729923,23.97570570647259,20.120942283550043,20.326564793587792,18.04810755416851,20.17489684948164,18.610406012441555,19.22428307774305,22.24214912723048,21.559707823905626,20.247164397033366,21.856374710656578,24.640316711641667,23.868241084901573,28.404925228938396,27.84660380341969,32.88990607314367,33.59752355134511,31.379069989851768,30.95671032747681,27.404632145617448,29.705351745415385,26.911567875706464,29.239578656011105,26.775144947252674,25.7846626004471,23.854611210095694,27.323866461643277,28.760463531980584,26.663422785892504,31.23930363016335,32.594592414253064,32.31489204784235,28.176241921983138,29.430074810460845,26.280407883649108,29.141308759442115,30.12865558464127,30.38872074881835,32.565047769492715,29.49931007395458,35.01191467131267,33.5234980259949,35.981397289846534,33.790317500355236,33.56944252812753,37.3119696958533,38.869487927406084,35.35282971888991,35.15932427121055,32.152448026185326,36.205266090343365,33.22459069241227,36.950229381824315,38.16274436757373,36.61205857970208,37.83797791405626,37.287911887311566,38.97517149309731,40.62953098541014,37.110532615208655,39.584753013432156,38.9963142966103,37.6352293114729,42.27084193306566,41.137284785549305,37.21429016928583,39.536828553894445,43.04548350270427,39.596105349201814,36.84069165092755,41.83722087831628,44.113089749033875,39.134154000536356,40.7589393374052,44.325500264030886,41.77344978553903,39.61051315811619,43.811674834133754,42.49898040726918,47.93094936307265,46.15675294648541,46.003415229931036,49.69390098399332,53.22699701950983,57.36890598977027,58.140176143538476,57.728592510642024,55.61823910694074,56.88514790425842,53.11611137150994,56.15578941414139,56.22083876169386,49.942130654851745,50.78876774096939,53.82274916169985,50.635813029635656,47.38135043749576,48.924084774245195,50.00436363612477,46.52304731524046,43.00860157246427,42.538669480291006,43.12297425170836,46.93194808058146,47.65454403080855,48.62146986424038,52.10504061008643,47.79587068513577,44.8760383618573,48.74711017245281,48.940660055456476,43.83248337098093,44.90810299333626,47.7653370697274,45.9022880424939,43.92813505209775,48.93573033271382,49.52718150084583,45.66873276091845,47.72492270837328,51.54771080034329,50.16069863506258,51.907548332991205,49.614981683547896,53.03132523249187,53.0095475356507,47.22448516453538,49.12116827376524,51.5405188609106,48.97447715899246,45.804033633552464,51.32053010187262,51.11389116810959,45.62070775760772,46.103428234350545,51.01564066394675,49.8493686949077,45.88986678270231,42.005899498363604,45.394027165010506,42.2929589420471,44.77167362394885,39.6690460786961,39.40287403161003,36.353694475310526,35.24660156026681,34.99077606040043,36.60573979405274,35.212734698330664,37.636488430732484,33.14782586847327,34.54595499964565,30.197623877902515,33.85788413785983,35.13562061412098,38.438109760023295,35.86995477564958,32.58871688078541,36.392501712067926,35.59649635728286,29.954289053785917,32.64559424057514,36.105948371428866,34.660626940240995,32.799003325651924,33.83080234039576,34.107989496730504],[34.371488266301796,32.814072817352724,31.30583649136874,26.469702467820998,27.33738645248987,24.801279606471624,22.189489474692277,23.881795221800466,19.756375328765348,16.423331670789057,16.005064264311983,20.175848898092287,18.50806770424934,13.628288668256666,16.26162328559413,19.071872039428918,17.110949952315053,18.343474976925506,18.292621535909497,22.7586216995872,24.10921172247999,28.624166554931637,28.17256569195255,27.758447170026237,26.76325730206307,22.31312747101268,22.753960219929663,19.856927475743525,20.83655051340258,22.49893215700812,21.595381949261213,25.0003079601954,27.30142608052699,28.927658457376086,28.017749061115907,25.369383452007945,27.500041503932422,26.582801527150277,27.30137278647166,33.64994452404217,29.688968224794834,28.083120684874668,32.45650930672465,33.807153884211665,35.20531843991293,36.605090669158926,40.04409562367172,38.20468732544253,36.83365566284292,42.24336319512323,42.824161343155914,44.22725559178153,43.61853007099814,39.03716515340456,41.59453096742144,43.295812020752756,39.01445805047491,37.31897789776386,41.42708347366434,41.30291150936506,36.05741860681584,35.83092892434644,33.52200767741555,33.39316806669747,32.37735594904468,29.718872387345062,24.608593243632964,22.400152735315267,17.8838126204277,16.005502982617145,13.676019795098396,14.108699260816232,17.61921523364462,20.964688981113298,22.575001694244676,28.551431624264936,29.09834209157835,32.41929552075476,32.80350178638843,34.843989855265605,34.922403196605345,35.7456466311861,36.201114265346845,37.23270137331995,33.891474620864216,31.423447149281714,30.48298464438743,31.891597364715523,28.64044323255256,31.299565441900487,27.31642564999997,28.47859033218546,25.781220461547733,25.472943190102537,21.75340263205225,21.30544834260822,18.12005651311535,23.58407003691629,23.80017812818053,28.54853935904305,28.23303568669316,31.46069423269671,30.863386351458427,32.815270470348,36.289182300668685,33.906617694003124,38.30039927414726,38.24359672947198,35.8959009958174,34.21535113541843,30.78324806595911,27.589261400580877,23.511831424125056,21.75855635376482,17.598080372227766,16.804407452100655,16.30406893974671,16.330254458442937,15.880095109313356,14.87922215632865,11.848332102739692,11.839779940484759,12.64601432940922,14.853356446072961,17.298138456252484,21.577537002537078,25.28585547108223,27.20402476812851,30.886181810091124,33.652596182411045,35.03172022278927,39.17586619506244,38.26101320556142,37.85759930152989,33.99758220464894,29.700144188925197,30.804560716359912,25.93072767001951,22.351788965886193,22.534046967157256,21.24287078528094,23.434102105141125,21.201244977490283,21.387420112880022,24.08370513648146,22.560110885767227,21.256366720209897,21.982346701747147,24.54662851911129,23.059336476750335,27.402852945582833,26.035387474714987,30.9800371769363,31.000526747580807,28.703233827624295,28.8376864125118,25.641769549530586,28.483673871030774,25.97470643558394,29.002689384939004,27.449277936722947,26.441106798339845,25.47099930973801,28.87728731662801,31.027759111073735,29.44201395577694,33.812877313350384,35.62895770450965,35.14467350148081,30.947996239491648,31.792606213326554,28.410670103299754,30.895559744275772,31.386854969221915,31.18527381147277,32.80997944359052,29.347889166547887,34.873170547882204,34.084106727737655,36.531539765690354,35.05576015306834,34.34430996620793,38.64090213768918,40.57014741817233,37.189257313973584,37.10832584089047,34.05320258212806,38.502265296131895,36.07482004290373,39.6123672079162,40.92449580357082,39.064178791470674,40.31505874698251,39.569676523374135,41.077731049545264,42.66804747345255,39.014225312274256,41.10011289922281,40.2345893695316,38.410285777359555,42.9137208630365,41.30950795915717,37.43826101461537,39.99310745182501,43.16792821716723,39.346762399587696,36.93869403333534,41.87044618392011,43.62730691856589,38.517046549175035,40.32970852894217,43.683579763570286,40.72418365289611,38.743409863378794,43.11383824901108,42.18354347612998,47.456382432605466,46.447591088840355,46.172675877588496,49.661271842455214,53.49900175340472,57.466377613775606,58.494302097208944,57.94716441788945,56.03805502480515,57.36481022536084,53.565341844271984,56.935385731625985,57.06680993160751,50.7161687811429,51.70424647703146,55.091095236346234,51.89476488541023,48.63599647294574,50.43486670355656,51.72721728509625,48.121973784500895,44.761922647190325,43.74511793537307,44.1720702363314,47.87671944394695,48.12545154480216,48.964203128886105,52.07744615929584,47.72613540750509,44.955943399891666,48.57178980732034,48.3952925092305,43.30816194050391,44.47360868944064,46.92315574883743,44.802883191115534,43.04906723481167,48.11073262319145,48.33354599382957,44.3323255345981,46.764014102333775,50.65272238460746,49.59243269586912,51.50081453992252,49.39415185222951,53.073038568341694,52.92558733500782,47.20481754124536,49.44032651048886,51.95754037381819,49.31843475284486,46.4573170141251,52.18141200039526,51.95448128218982,46.48342612504595,47.30249243029424,52.31105788373784,51.07590887947371,47.10923667018952,43.00493734476369,46.6807753271759,43.38655314209302,45.41211764178103,40.13899930419645,39.67486162835611,36.1827645098659,35.485039939718206,35.578133503397716,37.64122697824418,36.373886266272045,38.49913812313321,33.784904929828755,35.37451401218157,30.831658676661284,33.64418246082766,34.75065034799078,37.77415131303749,34.84720196871782,31.83273912140506,35.34975206346394,34.030057015077865,28.62506711838956,31.50139434304322,34.546641667235676,32.59354185726632,30.50939495466585,31.355417075931335,31.553195904424093],[31.76797972806918,30.495050016376183,29.631136411381963,24.63354239248558,26.508743500471198,23.651979814157354,21.74654850212612,23.810020785057596,19.525002516695274,17.11976637946367,16.975993895973147,21.10740797571984,20.294951238377873,15.43318495747007,18.71686623062081,21.679376202056787,20.063675519718572,21.973904098685804,22.404344638632576,26.72921888117071,28.34296348030091,32.82215598935092,32.473960768443334,31.940267467868534,30.800620685676257,26.322437194510997,26.44146310293533,23.272401113116327,24.19194761101114,25.397692266689408,24.852968399715984,27.676892009673747,30.001993796750632,32.13343366341134,31.249054107133173,28.8636339172996,30.54835960334893,30.05366964349439,30.6599288004629,37.05310619021519,33.164292828402694,31.947609178445287,36.38579505752202,37.57590467300674,39.03439214954852,40.20615115234576,43.7974090617057,42.014460371970294,40.32259478893057,45.72593513445294,46.459138087643765,47.71918268084467,47.25932704197537,42.540649142822545,45.24050554386747,47.16648835598222,42.93564538360283,41.2216298617067,45.445825091731905,45.42567949979469,40.23956892831354,40.06807237907159,37.66250294794219,37.75165365328893,36.698550101923765,33.883104703740855,28.92567412894906,26.50079136374691,22.155415057175578,19.948405954071134,17.861325010213196,18.243547967100824,21.62368267401318,25.237555019697652,26.55619100349487,32.57632426608842,33.15066812336551,36.288327283138074,36.65420572276479,38.74483755411988,38.487314011360574,39.23767553175582,39.27347969174694,40.24299640806516,36.94578273532873,34.57706665996985,34.062323481705576,35.23175156820528,32.390494260840796,34.86431501681822,30.992949326858636,32.169593483806096,29.19792540297904,28.489626320817766,24.5402777977731,23.77597639696823,20.283781608213292,25.71605051244918,25.440056789648928,29.641853417738794,30.178468719043163,32.87864075629039,32.967984727524325,34.35053493708027,38.08088100505663,35.18360598783976,39.32348832041529,39.18532288150672,36.38671877291506,34.85087918399567,31.05072407952323,28.476527696425908,24.14401533306901,22.91635164553662,19.298710781026365,18.742764519118197,19.143421986615593,19.222966288491484,19.751761016403435,18.54996304341058,15.294698057040945,14.447933184134293,14.513527847760177,15.988907570432717,17.659749439846173,22.224186152937854,25.25846534886864,27.738662056616924,31.454898693883916,34.758684556017926,35.70808417876864,40.023191242124035,39.488126113317584,39.34397999434939,35.36327204575657,31.02394964072599,31.51590534580288,26.98805697929233,23.545951433751945,24.434428897866564,23.460068895224406,26.318783973375986,24.370949970252955,24.150297248979655,27.150018079721185,25.497957463851687,23.76644002552537,24.111445408162922,26.170477009878027,24.10542213048778,28.071015586434104,26.363206696426488,31.352188532999502,30.778230248875815,29.056293814967216,29.71540425998012,26.85357318362446,29.654110037458743,27.798239942494973,30.532330268301223,29.357154606330155,29.049162614559677,27.909478201007122,31.677977421868885,33.546095669037996,31.600551094228408,35.78965518589166,37.522608115538965,36.57068072881478,32.40761135908437,33.27043940380689,30.132588727805874,33.016801077300826,33.63311767820685,33.62364323449718,35.0946896130489,31.816918184867948,37.42441045494018,36.814518262172264,39.005000139106066,37.51368396275765,36.22265585904074,40.64028685755333,42.678205628589325,39.35598916947349,39.83266961551616,37.096199326586344,41.59914014428382,39.0654330836779,42.366820363780185,43.38713073887936,41.39829129201765,42.22363757361337,41.14632697875635,42.38250846884305,43.59553187183797,39.65086341474232,41.55522224577435,40.2211959972724,38.49447699805439,42.694679694079724,41.10982237154769,37.14900871171659,39.304955513045904,42.4288246678298,38.479718251380525,35.68754495168106,40.58594041474664,42.43025438152795,36.96565487034762,38.53273129941802,41.86953253339058,38.88663598192315,36.539600142857566,40.828701689480056,40.02597047290326,45.37141954793016,44.46674478826986,44.501246620490726,47.975001922400665,52.0484856752167,55.82783831798255,57.15762180797584,56.91636754221667,55.27368424422143,56.88925738699921,53.336614157292885,56.84677792586378,56.65348361568863,50.30335464972623,51.66535146833741,54.99983210150902,51.52781987459217,48.493804205713104,50.63814213356293,51.54926331950914,47.72771267807961,44.92624973090605,43.51819858918949,44.505882954977956,48.139076383087314,48.09913371251332,49.25401233845204,52.16652476420655,48.0770254297642,45.165055088560784,48.33271296579861,48.26827369082568,43.16596676668453,43.91367469062958,46.23199283118176,44.035059700311415,42.02989092183877,47.02452493256742,47.138446505840825,42.89855266299709,45.21879793958826,49.17357175105349,48.19050530094692,50.4156891274292,48.628728642589564,52.33929771431001,51.772508687037025,46.07583230175803,48.68685527743591,50.92065587078834,48.07225339177479,45.55231068662632,51.339639778875416,50.708874597924975,45.24001374283338,46.50012350002745,51.3681943988543,49.76286738197207,45.76933970466866,41.45696843745847,44.99126379031039,41.41002849975647,43.30957320546035,37.98978781399057,37.84940707403287,34.20422746671239,33.26554956227845,33.75535518254146,35.959995691271594,35.10676727353591,37.45482866485562,33.024248725461966,35.15048813102635,30.719606812137464,32.89599191884497,34.44437977421511,37.28476787339404,34.598205901578105,31.229793321331698,34.236400893136896,32.98661684759793,27.737233483930783,29.87018090147062,32.845503334960135,30.922828573494147,28.866088797508915,29.940060034390225,30.381465679569242],[28.077693136612766,26.96869391893085,26.38331242101971,21.50607737038796,23.70266178621467,20.236991244734032,18.654471974508372,20.61586853338524,16.206971777090892,14.576681083084356,14.53623917672948,18.470220170085344,18.45272330298476,13.857339460976997,17.568101344701457,20.543621797095774,19.472733056387746,22.119181024057347,23.492452209735447,27.442621169847772,29.63470623008648,34.04824955260141,34.153799941245296,33.796919654428955,32.16753250760435,27.633574883911148,27.113318537274477,23.51738158840086,24.004736315949625,24.52523450970955,24.415568148420327,26.450113856805547,28.82728974816876,31.531358542123904,30.606471745732318,28.618487645185063,29.727424569716195,29.951694367835408,30.624706752073436,37.04713932367631,33.61203041858308,32.67719167155342,37.11406837464238,38.249173323944426,40.05124055794101,41.13637184645403,44.82299259005882,42.80327041477541,40.82606199388822,46.25003801774033,46.87617666447489,47.84665462735678,47.432159664547115,42.53956196933498,45.21932654102773,47.54137672001187,43.51158302777869,41.59113399355258,45.9370756855133,46.28382580257307,41.20836709392083,41.025730193145705,38.40044968061937,39.08133170734867,37.96678849270075,34.76068435800743,30.232284449789155,27.308161692474783,23.46821966764998,20.715972310346743,19.20646280649616,20.051594524743678,22.79579940578794,26.734814928581514,27.268293354308252,33.4094777530804,33.781978217516134,36.602659947165755,36.844684514192075,39.01074825444053,38.23639411358565,39.01167124759311,38.469832127345434,39.52710600196647,36.4549222372092,34.016567655879314,34.00071040747084,34.701883988488746,32.47206528164635,34.65650158482572,31.055927131028092,32.467333695801294,29.15525029921773,27.901436766317996,23.66889231481186,22.828283999251173,18.995278364525305,24.081560461656927,23.29404459042874,26.97069672537684,28.174855462695124,30.40290686865136,31.121232888785336,32.0855368474689,36.150672255124455,32.96802559300378,36.93078637798875,36.95867521968555,33.914791572274794,32.24538779305469,28.317110270964026,26.22870155400447,21.683874226156174,21.150291164199018,17.881471171021648,18.00763252461311,19.05855886428131,19.831294974088685,21.103180481124884,19.111803837217106,15.922724137685467,14.146728047087597,14.323155811295285,14.818242754644764,15.566071556337267,20.48439526595681,22.63713208689504,25.585014188699702,29.268659491036203,32.80585037118451,33.81068763062415,38.08291426722648,37.99454264358715,37.716832447228306,34.01149805029154,29.63090667379875,30.085475264662115,25.91879112205946,22.87488292633107,24.03782518628449,24.01405382332072,27.27417353901091,25.117891187563032,24.296237296892578,27.256913010478172,25.134788818682722,23.121438699230602,22.794923703312413,24.33438685471729,21.71100734306782,25.278337280035906,23.220664761149244,28.148391806428627,27.215427464204225,25.858340448008242,26.849191753981895,24.302393153473425,27.09389687958809,25.81931521484698,28.463927304466885,27.931453916476105,28.14923207403462,27.36409084036545,31.2772992684559,33.30525894226315,31.530655217338005,35.37332923967172,37.40175429706791,36.07665477464553,31.962940568045788,32.49473688644574,29.390161765012557,32.19927987218522,32.615562686851746,32.536500519334616,33.64876518323709,30.46654607904026,36.05382882283032,35.82316942300159,37.756715771040945,36.58390390534992,34.673555988082086,39.37227398612406,41.65856795424947,38.50071197203327,39.44071856583344,36.98579529299032,41.71288027182634,39.506514506239164,42.437248092086975,43.31650344218632,41.02444747568203,41.59747104144986,40.22071156225809,41.186700281447656,42.18200494932222,38.08844437970341,39.634947951998036,37.99553186452138,36.034026534729755,40.01554054189837,38.19967345512213,34.28553091545889,36.44679309671942,39.33821570999675,35.20925464764213,32.57712323839667,37.37830852590375,38.94927784534625,33.41934495406578,35.05542257315032,38.25747811350301,35.10564075149729,32.857634915175275,37.21100285913399,36.61578554208479,41.82763091316173,41.389378585454004,41.32370927848676,44.65171995246899,48.88501000861185,52.54580812752738,54.02212243359149,53.73144922527855,52.2498201674063,53.946640416685845,50.46089831107956,54.167909369470216,53.935888366573245,47.58526474130316,49.11283276733058,52.62698113178597,49.117735498341474,46.153688715764225,48.53741980059899,49.50424195217967,45.59056707366148,43.04435827049205,41.17906099140749,42.2150588217631,45.72662575122223,45.331383389504744,46.523209068581494,49.170951569257895,45.19709973890166,42.31700955916785,45.18502447121317,45.01199264018864,39.947856438820864,40.5880391820444,42.694116216268725,40.4005704139757,38.41927810434406,43.39159224080785,43.351744112445715,39.03885719834919,41.4671890800468,45.4389742103226,44.607789484253196,46.94088721611854,45.313723801602585,49.136089440356116,48.43629104261794,42.81246259530738,45.649650355112335,47.880670351806536,44.98860570476292,42.71488513827282,48.595048723140295,47.92822639295769,42.520835767170986,44.0341469248408,48.919825968760804,47.274199974084645,43.31247540858517,38.888673270412816,42.639782883525555,38.99434982745208,40.52055968975551,35.13830048841607,34.81146461335685,30.930884735732374,30.320072696180443,31.00698088473598,33.51721758878329,32.75046120597886,34.83892986399983,30.361677460303632,32.68562795926032,28.25623414165639,29.742130055250414,31.316779723473548,33.94578765746524,31.246322896395938,27.889730409702643,30.602718942170732,29.20557689454247,24.1362162766595,26.141915803846594,28.92397262859263,26.87727796355713,24.804711888373173,25.92617533584947,26.466677185018412],[26.69408814243565,25.589801553004914,25.300998861377753,20.21078317502007,23.171911420763607,20.353146323908323,19.436614916389367,22.16300297000536,18.236324073611925,17.06049863481806,17.77995796234984,21.72466655159344,21.435835504772648,17.070721872694367,21.29349536337125,24.0401151389316,22.480640548706464,25.331702227925664,26.290827819387207,30.25283391723336,32.331588494280524,36.623452389766925,36.55482389173753,35.78521627726489,34.24137360312598,29.787437794445726,29.299761810723016,25.82983332599339,26.86782926488343,27.604207203206908,28.167965260142864,29.961815533683065,32.64404597083222,35.38767245984154,34.15741158556337,31.949940364210182,32.83818873827576,32.65881832908581,32.91916795739535,39.227919755067454,35.465832490127696,35.028555433492976,39.539211280470475,40.34788267925513,41.907361152417536,42.64298462259622,46.486628087440074,44.80858806553223,42.528182152494615,47.85659822915592,48.880411038828996,49.88580165404332,49.75436911669821,44.857129046187964,47.89742088648746,50.159947063795244,46.025922956255464,44.43529197036499,48.88690457743059,48.943099453954844,43.975936268163395,44.17312431133306,41.76848281006012,42.27898315891524,40.898531159011654,37.79605332749538,33.33372641563832,30.66203647901926,26.702645984044565,24.35463669834167,22.637258134091017,23.570380049898766,26.570485252315578,30.23895314447029,30.991914877996003,37.21198439567833,37.31523297477377,40.34536067542681,40.34196004803531,42.229856158194224,41.371368290627984,41.7434869727851,41.19654140888989,41.86811852576618,38.59682585283529,36.58651664393168,36.81586865089676,37.851207909647165,35.7573242268979,38.35191330411063,34.83912947520443,36.46306664323589,33.22898844682239,31.99772766512448,27.66538023005461,27.035488904141705,23.092740794003014,27.926107907559466,26.846988812824534,30.263790020790378,31.486258811529776,33.15800959523384,33.942762437171254,34.331248060082395,38.07618309841393,34.48540324790544,38.16880436864772,37.782797871629086,34.46742343730446,33.30645431372,29.112517131138844,27.370454200329107,23.00197175111876,22.335416711100073,19.793327325949953,19.40486212866336,21.027389045724814,21.13453784442458,23.170072939233144,21.807690789416625,18.360375813383328,16.57221370375004,15.503143625693578,15.882219579477846,16.454006368559174,20.900641818231346,23.054341744082727,26.052695275870878,29.680427752200583,33.6126190802661,33.876942525716686,38.34597866157172,38.277332600909965,38.55819546613476,34.42936526979626,30.169944919618526,29.799439471716113,25.893568076091018,22.818877970069256,24.613638842082427,24.253708242895694,27.96374537442331,26.43285816498816,25.57914477931629,28.93471981591187,27.25243616402746,24.944559536395893,24.932406714505188,26.25794316449334,23.73138627487217,27.120036718307162,25.437383569890883,30.42672162643586,29.558061660077914,28.7276500367912,29.67995299796655,27.12833766543777,29.481915736413846,28.47481431529762,30.40460781221485,29.52318415536078,30.26662319912814,28.732488647451397,32.945309825156805,34.28234545872438,31.886773971021267,35.68335137690693,37.31199667472376,35.7101706058318,31.70102865281048,32.52664267837339,29.818872605295283,33.20424003037494,34.05620529206925,34.43577520262919,35.80795850640516,33.024449843135415,38.66018814346608,38.08702350817376,39.83932136399113,38.17217473872033,36.15108778177542,40.545087465762,42.65320131265825,39.46041797631751,40.767413551175075,38.59227166869584,43.08303156725723,40.44978089525785,43.29616428039647,43.86192556718131,41.6913318170234,41.88198865476404,40.355879447780154,41.20039150039462,41.894076530423355,37.640353581209865,39.30050877333391,37.42414721414441,35.91957117857809,39.70237635025896,38.278744672049385,34.247807045062366,35.821803962414855,38.928355237201686,34.98269530107805,31.6700416192463,36.48966163251444,38.57996707527569,32.80522479583291,34.019659345236654,37.387150655685964,34.56547015157292,31.766874169456354,35.887515445274595,35.0954515519091,40.53284949671735,39.553235229785486,39.919486238086805,43.40381995837605,47.63273619820557,51.24503543725723,52.821342351658615,52.94576196852797,51.565498948488965,53.495698023680326,50.27317684773073,53.85332751124163,53.25954823050733,46.97042244009884,48.74831650550858,51.93834472084109,48.168675362281554,45.43103999217159,47.949773230505805,48.38339955540109,44.35303010237275,42.243611645507386,40.41597361342691,42.112718815393336,45.63038850205145,45.328822427247026,46.911263615716116,49.65357185592977,45.95679647485312,42.83930718669654,45.48522192185079,45.707163330226415,40.626160705909584,40.79936395960719,43.10243473798687,40.95037937516513,38.55325044826881,43.40317631861596,43.55796442034727,39.14138906889717,41.13875348239682,45.115938665085906,44.09403613614002,46.60840296003955,45.14622438581674,48.78500054631368,47.77376358037836,42.12335230194681,45.06106787146573,46.93054120281652,43.88450256998796,41.707837861598385,47.48777621160321,46.42450347833216,40.99597379909895,42.6965960119984,47.36406764448293,45.39036739448103,41.400554872438846,36.92480552119171,40.29846736948806,36.48376753212752,38.25678686456581,32.940876972147024,33.140997913361154,29.463711936834112,28.216573667752975,29.0570152827457,31.359000893710373,30.9425758366345,33.515708090191104,29.52293531141948,32.23658627043954,28.085510876553244,29.61940894672571,31.763913999470304,34.431633170939,32.26160356805452,28.37516901491561,30.81165658673538,29.94072974580908,24.866921307016174,25.93270696009128,29.00007820222367,27.45970740438744,25.627976334582986,27.108576782166903,27.93777692473941],[24.780269222270707,24.162125615819473,24.535643295948987,19.77602116951707,23.165421232307988,19.21317200779361,18.71940380909975,20.835287080864514,16.596725453063513,16.44342849239968,16.659909899166482,20.03580483266946,21.059013198331048,17.026795535024593,20.92247470057561,23.820914645737922,23.218409132986135,26.35219934822107,28.193389587918524,31.90631969345108,34.373009108926446,38.709794956031075,38.99926599158484,38.62015180178879,36.79041317258054,32.27393435026446,31.40966559751651,27.620901119330142,27.928732554933095,27.91580320698611,28.15708493045237,29.473758360598982,31.788035814856627,34.97915245177965,34.09900326123814,32.47401088086174,33.07030434180041,33.82160531529656,34.4319511987003,40.7842375164782,37.59715761868775,37.00975060445735,41.437394795114145,42.43921898688889,44.370109198361476,45.25873908588031,49.05154221956935,47.01410265250116,44.740717528315514,50.11259855232262,50.80801005536755,51.56703909456223,51.280616742481826,46.275475704152974,49.017839555973794,51.61465806991053,47.72249303311042,45.733857280910904,50.15689151506832,50.69851232477455,45.72883313795169,45.571969020107105,42.82899025791814,43.81936409381879,42.68002220457281,39.28991306610802,35.00583234958591,31.857672206002498,28.288506456136357,25.28523683401816,24.05037044692781,24.912842513109812,27.41887185479117,31.53717741860404,31.702599816683794,37.810979953370996,38.16015190388735,40.721022455189086,40.923700565862475,43.13436987445306,41.97065569100815,42.70194706804857,41.66054165923477,42.69379240277437,39.78728827745853,37.436968929340324,37.879484780959,38.23861628327708,36.52136884213998,38.43454551037669,35.05001284451145,36.49852552200241,32.95963044565863,31.294063055566497,26.969899288949275,25.89743626258983,21.968633113508016,26.62962139128293,25.310339581350426,28.11495349520135,30.28388572491832,31.80829363788302,33.33846518803935,33.64167631468535,37.95480843745258,34.309520120050905,37.86482193888837,37.89784721335814,34.41927755487399,32.86851273067338,28.68246157697454,27.474930777454915,22.86392980176172,23.117748963488836,20.64595656702976,21.160771667849904,22.909637041957325,23.851317424249906,25.786128552550682,23.578728202660116,20.428998489871727,18.152799956932995,17.914053345340683,17.564429089470593,17.232417870333787,22.083854261313412,23.067876851449412,26.59354699615573,30.132353306072897,34.12298915135067,34.74678381595225,39.040757707184284,39.47418879476868,39.36548805608665,35.765195285576134,31.47014181673504,31.37374166952107,27.815609985942892,25.18434439409623,26.91931860520209,27.41558537519935,31.132466747485996,29.160110875682882,27.93643082531299,30.99494520386909,28.707690631656988,26.395708818961634,25.583160825774147,26.459798636925008,23.274586227062233,26.115754604582218,23.669884033822214,28.358207920219613,26.678543722151197,26.13307952501016,27.737334651526986,25.762245570304025,28.390366699525526,27.962921950130543,30.232367016726663,30.2872978115632,31.21392084888149,30.457466163333784,34.56769796680967,36.397751061329316,34.454226822441264,37.94476108993276,39.97191254912238,38.16111406395813,34.2017840242487,34.608844402882106,31.80647963945721,34.81445801196466,35.24119389662667,35.2827220319955,36.10812501567252,33.187546785252586,38.685659387041575,38.7461491742813,40.34585282066753,39.311291193941216,36.748851944420004,41.553212650424676,43.98290190379214,40.9929653499378,42.51711302134342,40.434459423026425,45.207143896824235,43.06474743944041,45.65550399541443,46.25211974146807,43.78189756080379,43.91486012689698,42.17671747700664,42.78947096473791,43.353804360788594,39.02291302525079,40.216315006110015,38.04163180759065,36.10882475409221,39.603905174026806,37.73033332778895,33.8501588848083,35.56363584076338,38.22012027539222,33.95489888685232,31.07679183847223,35.676169271998944,37.15696795737063,31.32171496744303,32.692460480674065,35.7395106041914,32.512980434318784,29.948501768132743,34.17658916070232,33.86002733231658,38.99950332609758,38.9467429264325,39.159089135421716,42.34554237449067,46.861472155561984,50.22582122703625,52.07789189893918,52.0719081917239,50.94980890499168,52.9484316937982,49.77381052362319,53.663831382815594,53.10828931661552,46.838046882162786,48.78000318410403,52.28343381969515,48.541281504095544,45.86755667054221,48.64731233680471,49.27249730547345,45.17007551414464,43.31021640178524,40.901078575183526,42.46428730503111,45.79252765279704,44.963322985219065,46.448616698240635,48.74157264153733,45.12622618978108,42.181752405189556,44.42548761507666,44.306053551373,39.336573597853885,39.49996960842789,41.321856206008626,38.93441033257458,36.7472935638446,41.55572601259211,41.31490752239192,36.770330784786616,39.10950099396488,43.10982351658446,42.457032546115514,45.147092459394365,43.9497082406233,47.810849933477215,46.629567880153644,41.145540669584165,44.43783909942306,46.353242933074,43.265016489758835,41.499704385985424,47.402094581086544,46.3225975966149,41.026667969024764,43.08436996941919,47.768577261809504,45.75702079504132,41.840502401090795,37.22257536678849,40.87428381051145,36.9556884588238,38.11807910550263,32.74276535397532,32.67529112614639,28.577634920105805,27.90115418289901,29.13248137165843,31.897105424812626,31.6333270464881,33.7591418042468,29.680952331979185,32.55925023711679,28.39698501277568,28.832890855407776,30.815317089719244,33.0709705493512,30.684244075079025,27.095024766674047,29.006011868808738,27.637824523658487,23.055438956505025,24.055513679063996,26.54270354149014,24.50562817176917,22.521294215882094,23.89206377960743,24.743065398377816],[21.889650984976374,21.159996258791466,21.820341113326872,16.89598265318545,21.212953081273962,18.359656239152315,18.76670991120011,21.879925669292955,18.564736711757234,18.84101714335432,20.11727151371273,23.52255689073428,23.92975065895411,20.286610876551308,24.87332478506192,27.382586973039032,26.10185202695901,29.58097855598525,31.042489362243774,34.63758326038989,37.091819292273506,41.20750747335477,41.41136752913886,40.54597419556157,38.66977531820942,34.29024031981719,33.298937681129495,29.635311215922027,30.5945973582528,30.813049513217834,32.13061407643739,33.01525909305704,35.844777920124685,39.10087621574802,37.69156553521808,35.77094450569455,35.96627458529504,36.21713790272242,36.26583074363904,42.40120980427816,38.91294560569803,39.06802052414254,43.5597225244768,44.090366803282706,45.7790099794214,46.17594264012196,50.175825388933404,48.53862797391533,45.79880459505577,51.00869673457293,52.207682036663876,52.941220545952255,53.06260106665072,48.04371820065059,51.28110352865958,53.864795655273696,49.89102880514693,48.34008676492058,52.932524407800706,53.141194885025364,48.38156034439306,48.79580373567414,46.34555707073642,47.256015306170426,45.68606583139037,42.34220051010081,38.3118473526901,35.40756680295425,31.825812246281487,29.300784943384397,27.919226961885883,29.14874286062527,31.8122458544603,35.57056813645348,35.832511141691874,42.12060337501451,41.92978446857336,44.76433725793699,44.52044843415697,46.29554252520679,44.910303772139294,45.03958532966664,43.91935880393466,44.39795407178669,41.27269656129246,39.53235927459658,40.401120892463894,41.18404562299884,39.77721435724738,42.30078814376372,39.12383156680532,41.0232520218973,37.57455728864714,35.896671391971566,31.372092248908114,30.76919995899211,26.62596951017994,30.82024797770841,29.088311574467085,31.593611981304885,33.56026107673297,34.25040542489927,35.78356054586245,35.25147275424541,39.0334914421242,34.86455618756231,37.986384586076966,37.44763184043998,33.65158560707129,32.82800468531861,28.366358139588343,27.650519592708676,23.41916981641935,23.514522306381497,22.09687556312851,22.044283208904695,24.536641640393267,24.81249609749942,27.804983279996925,26.22422595847017,22.835543737320368,20.45379813667477,18.832304483064938,18.17764132614015,17.52332635532821,21.542534301586564,22.401356047261448,25.898156856251124,29.268269063316726,33.719400594379316,33.359456528305955,37.83963388197706,38.34265707138146,38.95372178706388,34.888663769388884,30.831043039602903,29.674177734334943,26.62206710684645,24.149068732675115,26.653650166126166,26.99562909016323,31.256238479337675,30.019211497589083,28.631079981430762,32.10300595886473,30.334354150960888,27.647251270746928,27.18564346514413,27.728305109904035,24.775379429370584,27.33828718013239,25.605214226160648,30.319888189162736,29.026548857160144,29.155692345482844,30.476126759421685,28.42051457850566,30.329925385167346,30.23835080896292,31.44545596539838,31.049087749930052,32.719109299513526,31.0497079230051,35.497843783806694,36.440734274777846,33.79699754657486,37.07617937660872,38.64682477560639,36.42777973176141,32.6906532803713,33.37255243408476,31.139036945443237,34.80258429522268,35.76008350082949,36.408187326217025,37.55280796187657,35.24003431951188,40.74864343053498,40.34468701286085,41.64889200252476,39.98256146099949,37.23560890203818,41.59495692795172,43.793619631007836,40.82064125405893,42.89301197039537,41.26162946152279,45.72149887627265,43.14015448114464,45.49438049370403,45.650230009267915,43.294458102701306,42.880430677434255,40.912467147175036,41.31337283186554,41.44965854553132,36.947271092680666,38.22255536887814,35.744509347393596,34.42321574488534,37.61328525287779,36.297073598661584,32.310017100089325,33.22234458503194,36.154093083821984,32.21560256392062,28.452886534351286,33.03772894183492,35.25041808593919,29.188178203677676,29.97880825563846,33.264943114677436,30.588097816340298,27.311132028840525,31.188718854926147,30.529440357677043,35.96446852335005,35.11014560534681,35.84807266813762,39.245723729667496,43.68716399416587,47.01959718261564,48.93679987747854,49.44515361952911,48.423851009696044,50.696881597760935,47.872586202076974,51.559088429973656,50.547368975755,44.39340150793626,46.635650000584015,49.70215768308987,45.657362672694354,43.28898435151439,46.229831338086655,46.18787608337626,41.96460199522027,40.691045735019244,38.317703107576506,40.718676459236846,44.019412553048966,43.332382999137245,45.32641787112762,47.761433255797705,44.54013860177141,41.29170261033558,43.256927253164854,43.70969974606123,38.756374898597514,38.29914860234322,40.44456491445464,38.32282118692518,35.57047273123863,40.176073530998266,40.28680355837104,35.69862449081518,37.36869227222086,41.33381961266091,40.360498058403934,43.220096881634646,42.19738081665342,45.764050840775624,44.22601587293906,38.7251760279292,42.07730042765152,43.52456423703395,40.27200920501359,38.60734775082744,44.33823411333603,42.78801413835175,37.49171838452333,39.75728882710893,44.14897540036138,41.762549955891984,37.83045624421585,33.181583239255836,36.378549221142535,32.28991508028847,33.751640392959644,28.48329392138842,29.06203497733769,25.306603135573845,23.798994874484148,25.186391049488535,27.672303632054803,27.847736928162572,30.538379308491805,27.149679164104512,30.49178523553223,26.78530444306843,27.298391043128444,30.018386273370893,32.33614312202578,30.745452599103857,26.47369341379778,28.056666087913385,27.544443704241495,22.980069683861416,22.686898283381137,25.643705358411587,24.508225109495484,22.979716048092918,24.85239465305385,26.094499598150495],[16.7520163728288,16.551870191970742,18.262345028731186,13.95602272230889,19.242033334017957,15.939690822653796,17.58294109853771,20.548034190887492,17.929098962953056,19.620959784589413,21.141433488476366,23.772419227416965,24.999490569928426,22.216432484633877,26.804798648387425,29.04089171328714,28.28270574370647,32.25782627080839,34.413384135865414,37.553013201982544,40.45223624405129,44.39743383537792,45.00436842464095,44.26783129989215,41.97955106738616,37.67314466288547,36.12524677090887,32.24261098739475,32.836100974588575,32.38825693834684,34.238513732446414,34.19083838228459,37.015091598577946,40.76074692672342,39.28493058789647,37.807451248531585,37.32652631508944,38.24673062987362,38.275428339525206,44.20512391232645,41.254161418204994,41.785817103915484,46.17439314165461,46.57538569992265,48.54524557378089,48.77573247885771,52.830908423661946,51.03360986438343,47.98030223874431,53.07789002945525,54.21792614222423,54.61167660523175,54.848147304387155,49.73406746814794,52.96143549668909,55.93066477735166,52.229652024682636,50.55238710280152,55.213463994416315,55.75872112048336,51.2114931899942,51.67674927124657,49.08715100219407,50.53987564253299,48.89050593095296,45.24280836632166,41.71333164349356,38.46964816852254,35.40711848404943,32.58251799597904,31.66652228673497,33.204580906318725,35.35014523406762,39.24716167364263,38.85771572233486,45.119667396793076,44.68768577238441,47.183261326465995,46.764670146861604,48.51864694302016,46.589195553798916,46.64719150265793,44.88923540203939,45.353487598739356,42.5463949188339,40.897638993915855,42.346856714901065,42.669161461804244,41.993825584751015,44.23158919448686,41.44804536485566,43.57024465637696,39.90988609676181,37.761732296525885,33.154866261320336,32.570210457515905,28.364693251746445,31.786986397594756,29.488363630860324,31.005097605477417,33.72024588120217,33.521981765929425,35.83743624358401,34.551414116806164,38.491795223116455,33.958851179752266,36.538446311184025,36.10199640337732,31.974353053501464,31.22560760929829,26.71036810713105,27.024311583349824,22.987627275247537,24.03674030424097,23.51676080402126,24.0827668730524,27.11211156213634,27.897156201545208,31.43847051317111,29.36503211836615,26.21948617176279,23.326108021457003,21.773867029254422,20.19547267324438,18.3906311626401,22.01914158697952,21.308328439814254,25.2549645166201,28.265933557879084,32.97275067668314,32.4049991989541,36.685755851756895,37.84887887225586,38.444979711048,34.81009952113585,30.975265479484968,29.52517580234866,27.336619797566822,25.618295441715077,28.41239920765302,29.71359768120353,34.22097324964326,32.9275956924556,31.008139690612847,34.32269603400204,32.24723965235023,29.36471637104853,28.25806648807833,28.02051134134302,24.629953421287578,26.232804513502717,24.314578075512966,28.534668278442453,26.7804317078463,27.79446518446131,29.48394160144793,28.051013416431953,29.59067113416974,30.416738650278997,31.136396927064403,31.507518228584075,33.888497270922244,32.53167271682149,36.9894838049416,37.90694836872109,35.44019292598538,38.124552424111236,39.903705201993816,37.211720097097555,33.75807202634414,34.04655052583116,32.1089016620612,35.640475932562275,36.42509535552474,37.09253831071554,37.80881978344131,35.859343592090454,41.10506370557374,41.08478851794044,41.962387907923464,40.61653194507341,37.13986177704165,41.59609364454749,43.996061853733586,41.334212187213936,44.02255234784624,42.851300667787434,47.38693648826106,45.166141743112505,46.99590542457494,46.897361502143426,44.261593784229596,43.42697871786457,41.075643840796594,41.04163240703028,40.7485591169417,36.13226313365318,36.83595013689763,33.84425474839629,32.399646537396286,34.975969681753114,33.500579946665326,29.706094805915413,30.247201390755677,32.75373122793761,28.711957018662314,24.982021684110272,29.202939187556563,31.127453587897705,24.9308908794819,25.531104088784183,28.563602482498926,25.806390297708983,22.380174908113155,26.16052747401863,25.851209591487997,31.076464616068368,30.88289355835882,31.67405667621118,34.813294537109584,39.50879218999364,42.54956286377566,44.77761135191814,45.40102343034305,44.73286978505486,47.224875451613975,44.68814108366082,48.58168086306438,47.35887954051092,41.34910608948864,43.943315967615085,47.10351535605589,42.962805225729895,40.872346849134644,44.1945571954721,44.02105688901096,39.69749345797084,39.08150572356676,36.03123457467119,38.73986703969206,41.743761693301934,40.521942358587744,42.70887987982605,44.69231781704696,41.869066167993346,38.655939482493864,39.939939724126326,40.39297646459075,35.643922789654916,34.74743767732957,36.550615975167375,34.38479313425749,31.500195542549225,35.875106020278636,35.80202264403623,31.09514342037084,32.66817522125112,36.61020833904665,35.83778230108921,38.96830120454906,38.35551492228781,41.96194606938319,40.03678676466452,34.75861543285346,38.52402935936547,39.74638975322972,36.384826740453875,35.28253432529891,41.00550305117016,39.21441242583606,34.13500154285401,36.917805508420905,41.13377548822852,38.5600437027526,34.76127842037796,29.989697507712485,33.318598739847495,29.112622234921602,29.892317927945747,24.654484310049636,25.174080211036365,21.142621786359005,19.976452541276192,21.916833777856635,24.827873737505627,25.407478966506556,27.736013049632888,24.741501467727595,28.487559336673318,25.190938224024183,24.35304590040981,27.3284308278078,29.142491836981964,27.947239189344618,23.629673072023294,24.28616064074308,23.88970425098576,20.083926447066737,18.664636578207297,21.224015021306727,20.31263852797517,19.076935964663967,21.21329666037093,22.80372121479242],[18.379745051628785,18.8878383914722,21.137775697672613,17.393597425042838,22.35672910831756,17.846269343373123,19.352091929861146,21.31445004699815,18.14862128823237,20.29475104155326,20.958482210758476,23.070928131568426,25.432934573124147,22.68083284458368,26.616905615642192,29.107098324009712,29.18662005621274,33.023241079086354,35.671118896116425,38.81745371251738,41.821053763192495,45.924907944821065,46.66646334880626,46.32785879444704,44.02137867907082,39.60693997766781,38.05099834460671,34.00458174427748,33.958562272927075,33.05432714714552,34.083001182947626,34.03857008570796,36.29802514800576,40.22404275453828,39.284866248705214,38.28796788868513,37.907942647436215,39.54398265947095,40.04028750894443,46.09967525815924,43.53233007015293,43.56986390623151,47.88942655400414,48.63819236459877,50.861702841322405,51.42305375697531,55.34548054714779,53.20608769774234,50.427977721897214,55.63143692243537,56.36749534092511,56.67462489192637,56.612406536706246,51.464455007440414,54.27032481010719,57.386676312862285,53.83550364930611,51.73723651468023,56.26970514467101,57.20976708629666,52.53153519937354,52.489914794181495,49.583860017671775,51.24557673199655,49.97998817508704,46.223327195199836,42.57453549801793,39.0386690818588,36.10245521849533,32.783014943148814,32.095252824651666,33.280956427034354,35.19848618215923,39.46470117193293,38.84499321134407,44.88196292992899,44.946019477905736,47.040561770520355,47.022096724818084,49.194358465571355,47.27152508050853,47.85886706432317,45.907325827924765,46.86488812991657,44.36352795094785,42.22088761924467,43.51118717114292,43.263345849108866,42.578508133680195,44.09059737521882,41.25208800847263,42.95191236504075,39.12098274916856,36.78093562109608,32.38671283834284,31.250729179366658,27.30035708054005,30.793773987686333,28.595940144286445,29.725478075301506,33.25258224642981,33.36792909929305,36.18837873158675,35.28112627775609,39.8292988425415,35.55493408688257,38.22574593984761,38.33940050018686,34.29119871569022,32.95236538898137,28.63413747677486,29.058533804654495,24.754973555109906,26.34721659553065,25.305989832726212,26.486670434278775,29.130106318097756,30.489508754036482,33.37426174723582,30.735938644129323,27.807420410091858,24.87623205134557,24.289693632014572,22.720758668481967,20.80931775565981,24.998301786388613,23.78830328549112,27.981910027399344,30.986589572153395,35.45973576427827,35.559150077201416,39.618124205747975,41.01861322355484,41.06261365761814,37.94474473789459,33.99894301270367,33.192516424488126,30.89949378193057,29.229727567886435,31.610489658751238,33.18190144162969,37.41667070563986,35.61147907955545,33.69687093524365,36.69681899735205,34.124854601987565,31.45963553882946,29.838069924793555,29.552253567163568,25.71077378655485,27.037898427046734,24.2200048515975,28.06299362178075,25.336425456315823,26.366543228805337,28.76427733222368,27.871216715644756,29.93562967292713,30.98177520659313,32.44168100566725,33.56063555752065,35.61849479919225,35.08276033835505,39.30989141567886,40.890350790575766,38.93635910201659,41.631943435472216,43.7719875799158,41.208233744201344,37.66470465544143,37.67571278648919,35.421464013197344,38.46146226814108,38.77982947417017,38.96298244023293,39.21763640464544,36.88355714705199,42.00608761933167,42.58731021608742,43.536179188387266,42.85419682977834,39.20965905047329,44.084908554796044,46.75336672780438,44.18746748116982,46.68211333093764,45.30521242642145,50.11640883163332,48.29969844866856,50.17371545574839,50.31295487757972,47.507497533759306,46.92092840633257,44.59314344757119,44.54910915771314,44.38351999059657,39.8329998057667,40.241663854972366,37.225351009313606,35.26865337404495,37.729482045962925,35.70783447493664,32.131531992343135,33.081122548036866,35.07443171510772,30.6999752286619,27.752402271309194,31.679718943027915,32.742765068653384,26.673185084993978,27.589170075803636,30.130860489701533,26.800262528464255,23.910315396840044,27.79374537642762,28.134233325868323,32.84372302807582,33.813792802828154,34.33321128334718,37.06795088509546,42.00265132024874,44.7623026876413,47.230137458824224,47.59367241753208,47.13877153646437,49.58231049810273,46.98782089110359,51.171927145046915,50.1440491782311,44.16717549687629,46.75564301078242,50.275722739606664,46.294509845186155,44.16360616873941,47.571675830618275,47.764052634700796,43.47530051875289,42.80823789575902,39.41058750560242,41.671621532149125,44.52829869301931,42.86951310142421,44.76201192058803,46.304805255725796,43.41742302735421,40.497585729626934,41.5381403930794,41.461652717122796,36.855885924801,36.19541055917627,37.38795271245582,34.90550539818142,32.47238311644919,36.81286958789989,36.18701043188421,31.386106444024133,33.53870167770526,37.472976785639695,37.21249806793757,40.44685629261806,40.049144355842074,43.922051355912025,41.96127758022062,36.917759273327036,40.939018917013385,42.330040478437716,39.020420015276486,38.26255884158089,44.06323650697125,42.40924582893245,37.515769245025574,40.47174377710775,44.73021143384875,42.25219893237529,38.57192974883483,33.788101913829024,37.3516725556554,33.17472910127032,33.373008970002225,28.21353882530289,28.342191368443274,23.946986126263507,23.575527456987373,25.742677418597392,28.978602016216275,29.52227153020353,31.307739866320052,28.06688679256526,31.661410871154736,28.216686118716794,26.56990184273322,29.048902046214984,30.43880381353511,28.7401981575974,25.063868524516593,25.305781994534907,24.05533151606682,20.880292954930887,19.897722562708925,21.502020507872988,19.651274566782625,18.077988880975457,19.846165678835842,21.287286762693885],[12.438702594514181,13.267367345684796,16.246916358973603,13.414317173471545,18.824200798905952,14.580692752522612,17.263392673634414,19.34183874117987,17.469884017659712,20.586113329192465,21.952243334743983,23.47129267795931,25.81369098505377,24.027578302310275,28.191155608641996,30.13917251638316,30.206028931291918,34.49665947657372,37.47229559292121,40.10039155399369,43.44555406117946,47.229746082489186,48.303841371217125,47.88548963317904,45.18936778404359,40.96620330876987,38.88801156960352,34.80295241925601,34.76251396806986,33.4974189590722,35.558923291232915,34.56504610152043,37.138713160097595,41.3584028393476,40.00956007538207,39.17553353605009,38.06135478499875,39.91043332430125,40.12141810863157,45.80651006897444,43.61719332741406,44.28400542267238,48.47977954793656,48.90218904972109,51.257549140050216,51.48799655516011,55.49057549099869,53.373919931679275,50.17913139975806,55.16754741147154,56.03115378836092,56.03551286896344,56.24350860351214,51.07053690630377,54.0692506169771,57.457938038538856,54.13582300510381,52.16960331021705,56.800139135294216,57.85017789421852,53.51047354379814,53.82671010303498,51.00630917624801,53.08937220924792,51.51199646895853,47.54930523550748,44.54236036082067,40.89808450451306,38.46559892032247,35.243732595353045,34.889959431564286,36.628169500536075,38.12364172801754,42.19805543980443,41.06173925967445,47.13640337701994,46.60104862307172,48.58133922288121,48.11447033827679,49.971846065912516,47.51508881025482,47.71347710613114,45.26419157625261,45.92461838347501,43.61631486395437,41.862615105111864,43.79779819643375,43.42799519982288,43.502466049861575,45.16631964115951,42.82125445865247,45.02588941288764,41.16539247150863,38.52246015730144,34.00513563487719,33.333329450662326,29.271273585254203,31.778967240949058,29.004422566050756,29.318932386615735,32.96735531548977,31.97041407125957,35.20797124885168,33.35452637847522,37.634660881122414,32.981191665172496,35.02131964995317,35.0000096976915,30.71128050064066,29.716085198289722,25.414213562227044,26.780315297694138,22.999043458362795,25.179746194235694,25.27900491355269,26.67367199778813,29.90142818887815,31.408750107548506,35.08752926020807,32.35531729487374,29.613845618634784,26.33766532930734,25.32890280520747,23.027356455031015,20.279973633770666,23.600541079782598,21.168544600412577,25.46820663311954,28.008831994884112,32.661850359356,32.338028736874904,36.180112611555685,38.07903037828153,38.302811670435595,35.471908313362434,31.884570040924157,30.6413126758844,29.24461246316211,28.309495559708637,31.008863634927284,33.32461316818498,37.80320080603958,36.199555792186686,33.82174349459252,36.744818292703265,34.188932546538965,31.306626724036093,29.386202551299597,28.379932840337034,24.51421717297995,24.94895973569936,22.563523681068805,25.92953176560492,23.427302940606953,25.3682748353229,27.595389055697417,27.05157749056024,28.34803577405676,30.159609471269302,30.686429179006932,32.15607587414947,34.998856271527146,34.385236270674966,38.6248254904548,39.86037056645292,37.92534983951787,40.00199843789457,42.190991473313524,39.20785103604016,36.02755139105304,35.750907270785284,33.93182921028453,36.952334739229805,37.295902723224124,37.71960077824603,37.78219094841174,36.06677190944315,40.8849164237037,41.50984068269509,41.986181493550596,41.30859366109713,37.1132055399543,41.800630948905045,44.5050785857652,42.23956820548549,45.36153111921491,44.542407937939466,49.23684905640709,47.62856920695463,48.95356809999152,48.764051423202204,45.78838554006393,44.73168142013851,42.08156255609076,41.64372425796406,41.0631561513897,36.48781859022695,36.4496295232416,33.06225105055878,31.166080366673302,33.06406783115475,31.09921935046391,27.715833422667266,28.216125133195053,29.926566194271093,25.64185951640476,22.642915820349057,26.226710951335665,27.237146134223302,21.13187327528015,21.840179935519107,24.264614841971113,21.04772914649046,17.99066929262249,21.809059253942824,22.272969524866575,26.867094245816624,28.149248762957374,28.622672554691277,31.210381400490817,36.21948567006993,38.865796578405636,41.42806505578855,41.87664496027858,41.611319117904344,44.2000906516864,41.86227988246774,46.09248879217903,44.872524296258604,39.05726801097112,41.89166995799407,45.372090316513294,41.3421162128053,39.45852396971665,43.11073476425729,43.15062652004094,38.84774655691125,38.714492574938696,34.87800420996686,37.452965199627386,40.047516238258765,38.084769638003735,40.217069305111586,41.515224100374844,39.03785204567834,36.07505542040694,36.59289313167918,36.731463039295576,32.308043470781975,31.170696915746433,32.29469331509074,29.938272036341854,27.22909485422675,31.351356498234402,30.8128034455349,25.98997200052093,27.831654794857773,31.7351416373819,31.446127532197604,34.81153794646158,34.656147847924046,38.44614625228823,36.241766771901446,31.34481033962514,35.56588909915455,36.75803080392404,33.4095214228967,33.00222879409993,38.71637549938314,36.94176867433601,32.24357286261234,35.488007372088276,39.58123640196663,37.05921507170919,33.52198349875786,28.761492994623904,32.45374839710476,28.368174315066994,28.050359664927264,22.996891518931,22.93379346461527,18.460479403481365,18.49926084587809,20.91858769403379,24.38919731573073,25.143179444367185,26.554946221815488,23.77179914785633,27.60984707620963,24.7092104593422,22.084563353655007,24.88070558732463,25.909612844810862,24.861488795405027,21.001048849690434,20.46020850794016,19.731830376771015,17.237170830643965,14.927858529061599,16.40558656555785,15.290527683216276,14.31644167937004,16.550079273374475,18.476465530386218],[15.503736057936802,16.937003107954517,20.482368687337644,17.784843531779853,23.384361737755405,19.19432696622097,21.75141984141624,23.654657242011492,21.403298071816696,24.345627354565444,25.29544581072976,26.846499676330485,29.52093090257803,27.36872799554484,31.31999729955299,33.54601825668595,33.770272707407074,37.86085107812696,40.72403203771014,43.61319628809154,46.80658077671357,50.75977213458113,51.66926552915949,51.270629387951914,48.77417857579582,44.45024878903368,42.61481708672449,38.53393313450334,38.45295079189236,37.248424567940326,38.745893298666864,38.088115058656925,40.372444602285306,44.55950650924505,43.51705903069721,42.742398546161226,41.89384857055699,43.795953810771394,44.14518125991008,49.969975155103256,47.65244098020633,48.07730747788231,52.328894752410164,52.8837714926857,55.17999949564086,55.50837302643941,59.49653216316388,57.39395905006332,54.33043241236343,59.38628908789569,60.22252899575126,60.31063110292551,60.426074885140686,55.249890187435724,58.15148142198197,61.48214804818271,58.094246160080246,56.03541323608009,60.61776125818728,61.67556336217399,57.183685103971705,57.28856325923634,54.375618813875775,56.29963602388708,54.914578251645004,51.03058294335434,47.69724182058426,44.067693540410055,41.38016522545467,38.03845355737068,37.518232101860455,38.86319615928486,40.59833291297079,44.85068678035109,43.95313482015133,49.960396850495755,49.81838978113087,51.75179334926723,51.56384334247229,53.62966432767139,51.35107705445043,51.7640181597667,49.40688650858013,50.21855190066194,47.89781046919752,45.983047291022416,47.701356229984306,47.264909746579676,47.08168929565583,48.51441035953413,45.96346225116416,47.8274464371813,43.92540917627082,41.34060263296668,36.949911730320515,35.88709586751735,31.972569594392283,34.86284925252621,32.297840737167085,32.59883139607905,36.59002428183275,35.896114383340816,39.2474985251214,37.63437335673444,42.08398073533904,37.50666710891194,39.55863680080674,39.60300457805974,35.307838346750636,34.270309476331505,30.006835571878245,31.33798536725598,27.45091844942145,29.538205615956798,29.285991748795464,30.59716779901443,33.61914217884001,35.01101329948508,38.36130668408941,35.686274415813685,32.831748630082856,29.71821922490169,28.841880392441702,26.861652176263902,24.41153945155258,27.965465536311726,25.766413420482976,30.059894184851974,32.632571867545785,37.284489383626976,36.926723099965265,40.7799910175557,42.67271659200874,42.926375519218226,40.044019465588086,36.420795881693714,35.10526403719776,33.59335053376207,32.44166598093642,35.1474683136559,37.10962014454135,41.56837349167274,39.968787365082775,37.78080954820586,40.771780206815926,38.20705188613026,35.3927863193481,33.535726840428204,32.70481752537667,28.767480955684803,29.276196918988486,26.56351507193982,29.779534051634894,26.728117161014353,28.649604141372333,31.260916872813517,30.892157643861136,32.48130018041624,34.228630671097875,35.082932672215534,36.585365823567976,39.22476924727777,38.64606589754751,42.90023666836044,44.1938934692739,42.15377942104833,44.39096451097854,46.46916248792172,43.516006350389155,40.29172505547326,40.157671533537986,38.315191612667235,41.41055274766231,41.76244442260466,42.11238939421245,42.151596316837974,40.2433489187637,45.09765589204567,45.82962126926467,46.40320324837785,45.78934422136664,41.66110971935425,46.392803001651096,49.09341282076489,46.782993102194894,49.80266304967927,48.849763072937236,53.570112446583636,51.84828512525387,53.32531646483537,53.16658848060678,50.25201309539287,49.22440640542708,46.599026833602494,46.17819843598177,45.54965841683018,40.95232274437468,40.934135776594246,37.46380868940743,35.673811282896104,37.38873277661572,35.45288738730408,32.163381185392076,32.44380745088844,34.00658174249319,29.789543986901794,26.73727775221381,30.03819450204676,30.944609635946936,24.9013389544094,25.3019077881294,27.428324730675534,24.280771878073047,21.07844082907519,24.433674585481327,25.198405924309608,29.511364057705862,31.028445768028792,31.87689654085038,34.271971799154834,39.384654085191016,41.681531642531034,44.546150810849745,45.2638335859492,45.27216768565381,48.01820770110551,45.902261768699304,50.15384246825196,48.75600917694138,43.09069363956631,46.08617393574861,49.464817175991655,45.34567021747705,43.64880644325137,47.393575001815904,47.1933694054841,42.8543732111903,43.02057550012147,39.1348326990874,41.9144429099269,44.42940986906878,42.34261623017136,44.54095288208528,45.636245256296775,43.32175061984907,40.422676651342385,40.65390028350267,40.72843450733345,36.467022560817355,35.17978941605453,36.00680375302901,33.593036069567184,30.946143076196417,34.79482783743255,34.00415450792572,29.150690182353564,30.941816044770302,34.727027242046226,34.67233382576618,38.24963804116264,38.42916005258409,42.164688607446344,39.6473994423345,35.00787105280283,39.4253862268294,40.34312466569804,36.91999239698207,36.8675395193277,42.436265103511005,40.33931035611419,35.823569980324095,39.32808990295397,43.164142805555194,40.35413489493728,36.91140810951619,32.14856405454967,35.44974451353755,31.18444235910746,30.75762721013573,25.963514132881986,26.377693491750865,22.067174111318423,21.756118633967642,24.50578887491343,27.837529603781178,28.973264545790126,30.577284198069364,28.145617712638376,32.09102497721688,29.294418693873844,26.532486437044703,29.33638411515828,30.152912085881148,29.122442524097192,25.44910849922051,24.546987132997756,23.65448256749136,21.609490788148094,19.125437408030866,20.06452357080008,18.734071912898557,17.732211774540406,19.691101960837333,21.447723056676608],[12.121895591660275,14.027453609762157,18.400862466557697,16.610033038483238,22.585068729758138,19.39402662377863,22.71460928120326,24.95883677913071,23.670632222618096,26.908094634276228,28.42174592977862,29.82353342129541,32.14734496931325,30.444201621092805,34.680200261029036,36.57641284644539,36.52242814042261,40.85265859011514,43.6665533360761,46.315068576941485,49.61228612126027,53.34381077168095,54.3430015326938,53.72692114319251,51.074669119528195,46.90413937953102,44.83950845642837,40.83169800771292,41.000606539189405,39.779460946394586,42.037803978566785,40.9106263531214,43.50454382025502,47.783876372465315,46.377584871295966,45.53738868574319,44.272866234244006,46.02912814349463,46.041074977640825,51.56953701448874,49.307701888129984,50.27552451600512,54.47695973476372,54.70428100042024,56.93852531120416,56.92025495512918,60.99955062815296,59.088746634935795,55.677089737315306,60.52585896255189,61.626905310007444,61.57210312821043,61.98155721052913,56.823509135004244,59.994707339858905,63.41923767424964,60.10973225054097,58.2974261460048,62.97013362902406,63.92883589801748,59.67763899250882,60.15727252360387,57.40520573180788,59.44963191345525,57.774162926764376,53.84298291290018,50.85225499282239,47.288165691379206,44.76687305072351,41.64009001591334,41.16485466040408,42.82493958758874,44.49716030010905,48.554129974157526,47.52687884538901,53.623311435347134,53.046664792525476,55.05313913229113,54.513979075429894,56.27049972609822,53.706957814706044,53.7090432093107,51.135502935894564,51.57847328436877,49.27193794307598,47.79196319354502,49.92375779622858,49.62122259124996,49.84687675568041,51.58676104700379,49.30124611457986,51.52501519961114,47.657616042284275,44.98623158869695,40.48595003755086,39.77574228212394,35.7481700153886,38.15794849466093,35.285308249578186,35.21420673518996,39.057757107530335,37.599669727283754,41.04859995770859,38.7107318731069,42.71782839615572,37.82349331027197,39.30491718374655,39.01106351443722,34.53855863612044,34.062580949963795,29.829286422654963,31.810351155284728,28.462758830477068,30.659004046054473,31.247394960821065,32.40179722032348,35.833945614110114,37.02607354865926,40.991326613034694,38.5245435739389,35.673463736736345,32.4524753022381,31.012561479961555,28.72976145004898,25.955799288308096,28.68364037915878,25.94416405802726,30.08893809588021,32.24590132018697,37.06674003589388,36.02832701303317,39.7500555661591,41.92174865084761,42.600812689269176,39.71963945958343,36.473502197217584,34.490227001440275,33.720372426499495,33.024255399366986,36.09491494999252,38.27553620958133,42.95923285031861,41.74166593330911,39.34148170755005,42.41172942021572,40.08919005212593,37.095727855441844,35.297046779076986,34.07338070142719,30.338708486921902,30.352192797540113,28.233486668489356,31.14389932534649,28.48687816132526,30.9795446817618,33.306528245646476,33.02767907965963,33.97231527996035,36.112286192995306,36.12441109875489,37.555904642693704,40.77592891274125,39.81053869780431,44.13497251214366,44.8914381964743,42.603686473415635,44.410360044646865,46.271950209398106,42.97159611062321,40.107656923732335,39.95279910956208,38.61531830146287,41.912542777297105,42.49335180007646,43.1991718973106,43.28864270462411,41.925055627848835,46.590847954716914,47.134141514108435,47.3656310900605,46.49182811130393,42.093203186477254,46.45580890680897,49.03093459281432,46.91280562670487,50.42877957911311,49.93174794590943,54.41434294735509,52.62116165353317,53.72245825283083,53.21117758170013,50.30350513356486,48.804952434934506,45.9457508705714,45.215510258439274,44.14731402451633,39.54172995823105,39.287910990204935,35.490909857817904,34.113905477306425,35.22390543795855,33.67278760976359,30.56834309638883,30.057026087600182,31.49141559457719,27.6622027438216,24.162014377239835,26.98998091841714,28.242253485285488,22.250087672494008,21.978002330050256,23.99800068459089,21.436555931544916,17.639320248805745,20.380775389258336,21.133198732949175,25.37622568740786,26.706685032506297,27.98203038750945,30.29304677782322,35.402275298323254,37.46185250131226,40.510432043472434,41.663029650858874,41.93238639049929,44.94105415942596,43.26493960242958,47.38856124250293,45.59061279686321,40.20708498074113,43.52270329372947,46.57777763522494,42.29528273215191,40.998562174733344,44.953043889419874,44.255911892789285,39.8972769406424,40.795399924281824,36.69636772669305,40.09784694211867,42.3720495600044,40.175873337985685,42.76733154397687,43.732238113469606,41.941741235551206,38.9259636514901,38.6235663776357,39.130901694694,35.11501775005594,33.18815268074431,34.069949973307324,31.941557382846653,28.87181851514583,32.27920618347902,31.719285325858554,26.94874084572229,28.020070605363895,31.65108963973441,31.441418942652597,35.21757387762564,35.75070413718184,39.187186048649885,36.241764789905446,31.843912462860942,36.418332643864964,36.83630984965889,33.311232351159596,33.68671695622589,38.970931659198385,36.44500765045635,32.197716369311394,36.06115253460959,39.485661334489215,36.37602059966168,33.11014445356794,28.425091651267227,31.37664004693644,27.072720055270906,26.330571152142284,21.87947872811015,22.730184753490423,18.777212103480988,18.157124021503662,21.29109090710401,24.502317746129346,26.16046760820389,27.790077953723706,26.25067092436009,30.476344281592027,28.372572669849532,25.115468480660386,28.384839767939624,28.94082032907839,28.759142548176033,24.830277153858432,23.22965068399231,23.172059717177742,21.739768954571026,17.87440626903921,18.785429285700214,18.580950127765643,18.28329746665471,20.531624065065756,22.565946273881735],[6.648046674766452,9.153315924019475,14.182180523477879,13.915701295935579,19.497883827939848,17.011642969890847,20.96298447715013,23.09948295178082,22.99338062741445,26.67814645444318,28.643744924440497,29.568831550786275,31.69435623499553,30.81654068995454,35.07672632556699,36.47393344881459,36.402867456909796,40.981425003258295,44.03631390383272,46.17712188489235,49.7239037725991,53.12107763110727,54.42241327372506,53.78944525033767,50.813782945608466,46.87857665558382,44.389128961000324,40.43480088936836,40.571713210029614,39.08374352199668,42.152009558749,40.284094528956935,43.11336243214662,47.524825598317236,45.77032210480161,45.065460487031224,43.21641547289019,45.109039607137724,44.89374757325065,49.9879036665258,48.13222256799405,49.595073664907794,53.61125638551857,53.57162072679678,55.916467796980086,55.644153301990464,59.72338545329819,57.8177192049872,54.11451648166532,58.714705089570174,59.8763132097403,59.54795106800529,60.17111816042482,55.06287361836409,58.3461714838392,61.961446703610264,58.90001900969273,57.213812419182524,61.91113504858212,62.967217266594325,59.063118432774296,59.840716421053735,57.195852412325856,59.594495130280684,57.669705979741146,53.60219645403551,51.22331763819884,47.610893152903465,45.578968968196364,42.578657771272965,42.40985473248394,44.52889829307884,45.79183427799944,49.62543839273485,48.155836120488146,54.20840599320936,53.10207124926738,54.99592329756125,54.06211476046165,55.512617176246806,52.530746856800896,52.19649645900842,49.24756433215582,49.42668673823183,47.34023455579159,46.21438715969419,48.85037309268146,48.45503179375728,49.31887659056682,51.18398682679313,49.35451587682876,52.000334575528484,48.17695326683608,45.317775702504846,40.791667013785144,40.522261287750645,36.475829956092866,38.04914334192884,34.81570993813524,34.1803942904396,37.86780809870469,35.53693030234814,39.16104008467887,36.09207333475184,39.71480358047751,34.64624001810948,35.523854924429926,35.11785744942658,30.585606499527678,30.445588092513486,26.440272752855986,29.161555388942965,26.476871602905174,29.049378031943547,30.52717956623287,31.846712683269523,35.59268344475845,36.942622144647835,41.409677011377724,38.86593504623518,36.27454474940709,32.87358137226118,31.251141058501084,28.479739310110592,25.207286230817537,27.051034511884144,23.399716912695688,27.35440565674867,28.966233502282158,33.72959322265902,32.39850769305024,35.78302829026547,38.35997611062345,39.1287517760595,36.63155588665829,33.808790604436474,31.603253496424813,31.65756746963932,31.656354161813827,34.804282989326204,37.62582350707909,42.33983854814306,41.240915270856284,38.50008899742406,41.37480565176925,39.09371119265447,36.0310236223549,34.02842275127133,32.25625517336873,28.70558919074893,27.980965785900874,26.43360627455208,28.819181424607486,26.67391350392398,29.71682497583468,31.678344631153447,31.62540067602345,31.858497375613272,34.51793166890821,33.724679803502895,35.40329745574121,39.169366191639675,38.22028108876248,42.40824348019657,42.9124053209839,40.78776460629998,41.994299091192744,43.93477057086629,40.37060894778537,37.89182338040221,37.422346336729646,36.46294144467865,39.57362394602543,40.12094713478877,40.99220799788282,40.91140359128209,40.11459576973264,44.40440026895931,44.96100370512955,44.785838794938996,43.953027011916284,39.18988280520237,43.293041963562686,45.86293631616464,44.06150067417457,48.031088554241144,48.01322147031334,52.33884116729525,50.8231666573944,51.42062791682251,50.66766467627844,47.634559570583356,45.79282387379609,42.715057775157455,41.65492562481091,40.27295573491478,35.769230836918155,35.07677508719838,31.053291372049745,29.71735914731619,30.27046853477167,28.793889405224846,25.989461607354404,25.07750905592159,26.17454969397862,22.55757305331748,19.172946677179905,21.507917803682727,22.68625575770367,16.84514477502865,16.31067096141808,18.19082005603511,15.881225452262925,11.902766385483806,14.543653555713895,15.411580940661969,19.55417449162472,21.269116643028706,22.324694438541584,24.486351945059937,29.63370020877465,31.706466752266948,34.726713517771095,35.83260631960301,36.20084534218718,39.26779557941188,37.774652262532086,41.908953698509094,40.026220043075014,34.804071852212665,38.25964113611321,41.30794183942903,37.075116697185024,35.96646393263544,40.06939383444766,39.3661156926606,35.07562987862243,36.35621439006412,31.904112291861424,35.434739090769206,37.428821324282154,34.994703753397765,37.738176086988815,38.506194712854935,37.08312700943184,34.08072113397142,33.350934871839144,34.07628583642,30.297633048174784,27.971237913464297,28.847088256502992,26.93438190585363,23.622695670009307,26.770630938178257,26.408695242920842,21.746304769339645,22.396547687532372,25.979619193423638,25.659052405187662,29.47509036560029,30.156577812197504,33.48773390866794,30.420342348774923,26.153129953387246,30.83038925113546,31.137263698037017,27.631270259084474,28.292479215908493,33.47453993808025,30.985430419335167,26.94635574406948,30.98098905229904,34.29720240619791,31.30700789651047,28.211239069864813,23.642090250241807,26.869616332552695,22.845764921488406,21.45700441652169,17.156387529298467,17.546939708768043,13.621077735602332,13.760005993805857,16.99037035711651,20.39316315301978,22.09368186618832,23.119020558602415,22.074924374565686,26.302361396405438,24.830376373678913,20.764112204156557,24.17047174088419,24.3604561084454,24.874726847173886,20.983853942050658,18.68412250204055,19.3210256290201,18.690207916961228,13.739148396375516,14.44365192694347,15.37164802365692,15.84561613270695,18.30112956354829,20.598805562686692],[9.928601907279683,11.768336718589616,16.488609299641343,15.671417425950663,21.67322081540126,20.03295797055359,23.82554723764091,26.540664635506445,26.180700269974583,29.38702099678354,31.496393337924456,32.92252872880314,34.60090479207756,33.25937148375817,37.80607913416514,39.35709036399941,38.84438502638075,43.33101802296135,45.9249815730418,48.34021048074956,51.65188676544671,55.11206358052682,56.1360264384988,55.22579464555963,52.475893953465686,48.520725111178976,46.294253891550596,42.46305687905182,43.020142947884445,41.94562126249084,45.0112971294698,43.5478393774003,46.533466542288544,50.781201563206565,48.93124229871185,47.89062749086352,46.2847861838406,47.66839738844295,47.25357638362544,52.4181673064956,50.10850457714684,51.67730433815004,55.81270867838529,55.648288312033735,57.7219877210094,57.30007045399834,61.45904881774685,59.845253968697115,56.08298714082825,60.668022178608766,62.127923016849415,61.981045202029605,62.7395318040253,57.653753323950944,61.17181747696935,64.58857028671831,61.31754965498117,59.86720380207282,64.62161365444149,65.35640618789823,61.38095714977344,62.329933165186794,59.83110133021591,61.88905210652049,59.86634403774873,55.96458468458554,53.31565185432952,49.92777148460842,47.52829821899456,44.744835182437996,44.24708488678162,46.235830787114885,47.906272789541674,51.670462573032886,50.618621542072965,56.81190100384337,55.740647930728386,57.92351914553249,56.97930524621325,58.33546013970025,55.56358870799435,55.052138501169985,52.39722204057113,52.35766616616276,49.986352628971446,49.05383851633494,51.54874416117108,51.54835402313716,52.09760350927112,54.30507216887678,52.25704094723846,54.878717686790964,51.117695663247964,48.463900745277634,43.84982596365976,43.57444730303175,39.41769125108167,41.44984055299674,38.36493881189691,38.18078476925938,41.56863386238884,39.45783646741261,42.738522893577965,39.73615295204189,43.08616662903975,37.920256205112594,38.84746914639388,38.04684661321503,33.481727295003274,33.74771629387483,29.592456485550876,32.039366688173025,29.351791428870904,31.397855670448806,32.818786908636206,33.642420307092436,37.42908376937352,38.272959871730905,42.848496179112736,40.748002399158,37.89943384161973,34.67711544883403,32.582957780044836,30.12145950802954,27.216299498937186,28.95049907596255,25.990638452933947,29.750643456966568,31.455422884910284,36.386950445961475,34.500593055850025,38.1031058371606,40.40672252448913,41.66505191968912,38.65440308251406,35.868681633882424,33.097819784716485,33.09209840251934,32.83158460706556,36.26021652683485,38.51012969082962,43.36585970083109,42.6507037350457,40.11405067775664,43.280727027898436,41.3557402969619,38.21085635058857,36.65697881366979,35.15760866469926,31.834321230156153,31.549400810122137,30.261164854103033,33.01139880214695,31.078540246353683,33.88434004539662,35.70390688953781,35.29976707651062,35.559665489198686,37.87830962477404,36.96709794813259,38.053455734270955,41.79937249666817,40.26785145890588,44.642804749057895,44.7040575512182,42.077308394583866,43.44935488162003,44.96286039153254,41.350168540420675,38.91580370348177,38.83051163908553,38.09276479827312,41.65852363975129,42.58424056696973,43.745459254959016,44.03606012459318,43.270540597577416,47.760511377538954,47.928627465369274,47.848750348145906,46.53153805125479,42.032331940407396,45.85073299410835,48.18070185378854,46.22988631888975,50.20075183870269,50.175045522835376,54.3039768826273,52.337635412157354,53.07706211296372,52.17607699726167,49.368916983749344,47.37719926547425,44.33370884544308,43.327426999358536,41.810199101202855,37.24471581302335,36.878312749816715,32.83891889078036,32.103704666511106,32.64846534629401,31.738755199149423,28.797693201577836,27.33443027272784,28.84054596868635,25.653149401575384,21.44667516748267,23.818323078272453,25.833213310202687,20.037205918385926,18.87492228960745,20.994524253064835,19.480578032048356,14.926201693256488,16.756630013207445,17.051428795422833,21.456538734579983,21.867372973791895,23.771545489980884,26.19093509539189,31.120014251915414,33.09805274001251,36.173409878307716,37.87439651960896,38.2874466868083,41.545437706350526,40.326786217387394,44.15759699168797,41.90359061513714,36.82524919170434,40.41727150121155,42.97427397161179,38.495710294139116,37.62640938522042,41.707118600994626,40.37403830986094,36.020492709496345,37.666932146663385,33.556095948088306,37.70030833627381,39.77381490368346,37.69561766625565,40.74619244358765,41.78043067412717,40.51021691385899,37.30922621345568,36.63843384568841,37.77321851410273,33.98613933494836,31.415189095025468,32.62549337099983,30.957438329213776,27.371046472185622,30.302850803731783,30.260356990722226,25.76083879470414,25.81068920934314,29.212115446391536,28.571765836632554,32.41787203586012,33.166348669009594,36.1375538685226,32.83313632151698,28.61470910975019,33.150217141894515,32.98237798174345,29.361337156472473,30.007190459373376,34.909353228981615,31.89316485182284,27.869967234342152,31.998786978249836,34.95000986048649,31.494363386210868,28.381087264355276,23.825687303319263,26.248161664913226,21.903709524351047,21.064873039734934,17.019507179537513,18.618699663888993,15.432679737535704,14.011289507249307,17.442266946033712,20.273415546037864,22.531210815911773,24.372868008304355,23.952911750526752,28.386889357869826,27.09657619540954,23.79842472359871,27.58248357490707,28.064109669326285,28.842421417046282,24.588946282687065,22.616653855950997,23.664545712802212,22.544455105184248,17.576968019515522,18.837027870307526,19.995783399844072,20.37454993509713,22.845971255816707,25.033539738248646],[10.01023301243925,12.232521511610841,17.21633541150094,17.67494957782942,23.19213201209649,22.15824345223425,26.237353929317077,28.766019076892785,29.0346624749325,32.490604071252534,34.734963028014114,35.83848460970333,37.53951861730276,36.6206617315081,41.10970215630451,42.42755815182599,41.970366536332804,46.55903635107234,49.27276138704353,51.43111641314716,54.85785944140072,58.1357301876609,59.30571702803413,58.368394811338106,55.470007341915334,51.65575471219818,49.22486022531825,45.44604580821825,45.976043618955664,44.73365211458103,48.1567123460882,46.285449921518605,49.3156754821423,53.65739108729081,51.68054327195677,50.76847968414633,48.83390190753165,50.333244527353585,49.790651795981496,54.65881289203108,52.59535946825144,54.46124017957328,58.476659344603426,58.145814989621314,60.25672144762948,59.65022615682836,63.80117632276042,62.23153486939557,58.28437089226826,62.66949820736555,64.19526470252835,63.869061535399204,64.7812589688919,59.74936820832801,63.32079211050371,66.86086107468284,63.75794939702973,62.384082245916765,67.13764205575272,67.93879088476503,64.1747441228973,65.27677885391567,62.82595160471151,65.07756357834123,62.93942453186865,58.97405760718867,56.63977393274527,53.22459850607733,51.064022371918625,48.319485331358074,47.96431806348768,50.11464954983036,51.607391295050135,55.29331572930462,54.025569967894576,60.16831699828569,58.87006987451416,60.950387880044524,59.82512213413011,61.03154830561603,58.0126246397424,57.317856580517386,54.411978105265575,54.21006708122003,52.00902829668859,51.30864291113187,54.10276025067146,54.009401256654805,54.93820921856381,57.14280468517883,55.34941755256317,58.13908080696668,54.382979200495036,51.606227832002276,47.02132586447242,46.887696593298394,42.77190609941967,44.36497081126606,41.0996767544756,40.471794272340986,43.91509145363662,41.26779061705686,44.73559606320394,41.26667416378155,44.34203389217497,39.10211095237551,39.487497106261785,38.59354374559616,34.036878416845084,34.61428717287944,30.737528214655832,33.723302023187664,31.52596015213653,33.78226593917879,35.69609946170312,36.59169347195116,40.51764297860447,41.40426954856016,46.21986283349996,44.10320924646467,41.3833879983003,38.09726609287818,35.9177294419137,33.25504165612226,30.137714370919248,31.32341251742105,27.85121778911764,31.384398501918877,32.62538840989983,37.44970447957737,35.23964103572213,38.50151402922087,41.1250385570185,42.53349785912834,39.81988436124366,37.42530752533711,34.39117713409879,35.03439910010583,35.2176961157148,38.70916122255496,41.24494742353394,46.11030050801018,45.53091616230199,42.83334365854318,45.88845106088346,44.016880170677084,40.8521000737552,39.190136843418905,37.363078694315625,34.16454698209318,33.36413120705366,32.353441741489064,34.609283120787495,32.796516036198895,35.99890348656123,37.73642700424072,37.595829385017275,37.45146999282153,40.13306052316689,38.74524292470935,40.0148856456864,44.08944138674323,42.55738740972778,46.822407550531125,46.65633678206071,44.075789443237134,45.0102675613289,46.46276314719088,42.6442808698488,40.56947305136616,40.33107854913108,39.94726806954164,43.410557235585166,44.33992814077298,45.62027451587221,45.77452667342569,45.38783514133696,49.57632177397598,49.791999356422785,49.41605484885832,48.13799333232429,43.401392154797236,46.95523624845896,49.23523589655079,47.548432183271885,51.85328051034275,52.18120038971022,56.148965778298994,54.325532825343494,54.703079412748075,53.57815420356311,50.73433979827715,48.428957229980206,45.220925571062594,43.92206577948848,42.057352917353505,37.63471083078386,36.899698402737975,32.64682355605761,32.14087129621351,31.972937479002518,31.279874710967857,28.762900996190655,26.69291680530598,27.750305253006857,25.03938596386644,20.968312960534337,22.44793969806141,24.387442028898604,19.154908089176253,17.357235284068885,18.925935261014885,18.111873674980064,13.529648071898178,14.169740520711112,14.726879640874795,18.458176226644188,19.17981797439677,21.410519062934103,23.41679110524624,28.297515910942366,29.843404514737564,33.165751642688015,35.204014928819866,35.996294704393065,39.455145040258614,38.71399161048143,42.45506796533855,39.90224075365504,35.25980146976527,39.10641617036693,41.431010310808716,36.951052131684804,36.51597602990308,40.762361113417775,39.11592553819245,34.870820951452586,37.22096787284683,32.84143109366951,37.304841667315166,39.00440046491637,36.675890317924974,39.9384674007086,40.63477619653235,39.91763080008009,36.80148941947782,35.489439456476426,36.846925071005295,33.49900766999618,30.436624291915788,31.427284509092775,30.025416627797778,26.31710271168369,28.59119184397891,28.614555134773735,24.41512676930385,23.81176089707109,26.864687363371747,26.25826610129304,30.24103343149431,31.454182803065844,34.109134895926125,30.39231583959775,26.707331748207064,31.37116214569517,30.711860646305368,27.109808945183243,28.402171120825706,32.86196908384695,29.50932032062175,26.035591263194735,30.514432246345052,32.944713448034044,29.306572190440615,26.57197468140744,22.3216984235732,24.371617669675377,20.253320886311673,18.637147013045233,15.436438979229107,17.235379637458113,14.76257873222159,13.591642533214834,17.150035323530272,19.731795365881478,22.372947647999457,23.810775388726523,24.286281476959886,28.672370380245813,28.085939648380474,24.182674911801485,28.001750717059597,28.029694853387692,29.44313760744216,25.429696581660515,22.753096103670618,24.272057395503012,24.02910302617114,18.429519513211005,19.16259669334662,21.008092984380113,21.887289355216748,24.28895224575783,26.515514638531634],[8.929546144140275,10.031057225435527,14.346452507031794,14.77579760682209,20.1578248052964,20.10116226553818,24.10827715070688,27.077428738540018,27.645769009258537,30.77341501793937,33.37416617035116,34.71726690448995,35.77814566119998,34.91733250806066,39.61678562356226,40.76303128490951,39.88766595556849,44.47564523802545,46.925908964897175,48.997323977271435,52.34660166211883,55.47298240990936,56.59101052646392,55.470199969572285,52.579642458134536,48.89919299576736,46.464673058500175,42.841498288701246,43.681924810565995,42.69077914532834,46.526769409719705,44.678559130437414,48.000769289527625,52.18414255456655,49.91522074335243,48.74082670586455,46.77037238439697,47.84971569412159,47.05189361878909,51.76763715366256,49.54165005141135,51.67640504826618,55.66970065231168,55.13847777318895,57.099672844832064,56.311612907278224,60.49300348660902,59.11683093746181,55.04950589516963,59.33025018676487,61.06491875379338,60.79025846364654,61.86448760659971,56.893600523395556,60.681275499845505,64.10335448143906,60.94145807923019,59.82160951292799,64.60969634299674,65.1816152764936,61.53365983963132,62.917565780937956,60.66844321760818,62.80470834724924,60.46213852773658,56.58624481521429,54.38551978210773,51.15714103008374,49.00916553963985,46.55660431790604,46.133790941162,48.47702344952277,50.009153849699594,53.447180966900106,52.272636855948306,58.477877363525636,56.89070634123186,59.178255737777114,57.82541267654969,58.77608022772832,55.78392672816123,54.788878028555665,52.03894248984665,51.55021104473325,49.1894361334189,48.78340303108256,51.637770217766096,51.875235993043056,52.80031648759726,55.40199810018351,53.65917579153874,56.675427360538286,53.04894536035798,50.4072898936826,45.74620509542336,45.925001673548664,41.713100419078586,43.261879130411444,40.00248799824874,39.69852300270066,42.56609798910643,39.84768784339631,42.90599691378344,39.30896883335567,41.96717479068434,36.64957781537713,37.02793013956143,35.772892937849036,31.229228209724052,32.188050319644965,28.248867298834053,31.092706777060172,29.154966552177264,31.068596299603996,33.28981490712925,33.879391231700346,37.91942755733283,38.537583220075746,43.619693497937796,41.796827277490394,39.07781146627748,35.87287001622782,33.31386860533511,30.659389367603026,27.639189613523627,28.329176599645255,25.14139846248247,28.38411829965225,29.560455267602872,34.44612009190974,31.8374480523299,35.21903944489553,37.64672437197254,39.38167639318921,36.3786133273359,34.11091931597399,30.72534708272188,31.528091315395756,31.79997534955806,35.42614007013808,37.871263903533716,42.767157393862625,42.46142570957953,39.77312394857693,42.90235524124929,41.32809503220067,38.1133432263332,36.74656521192386,34.96512925449982,32.11456546026934,31.51052237395684,31.0642622442243,33.59250123201949,32.466262832290575,35.452508722028995,36.71143606362253,36.19475406141507,35.77632593795987,38.23592373697986,36.44866244584869,37.24453528886031,41.443683789550924,39.492512570294004,43.79730434691898,43.25689068992329,40.459338642594176,41.32062592810721,42.57278416441305,38.70767275481511,36.745633560309464,36.62895137875563,36.465039993947755,40.128758977626134,41.31020851630959,42.85655545655581,43.29090107551596,43.12700109852831,47.350243790578716,47.189050421970634,46.79100036948628,45.123088478281765,40.560601513371715,43.8196419174674,45.91404494817927,44.180851131475684,48.551254518745615,48.99993456029261,52.76841662939281,50.76482519919326,51.09143188964794,49.845343013415146,47.11929550218948,44.691710901263065,41.496613426433605,40.219856384841705,38.3090371201359,33.86823828679865,33.34272779348315,29.146486754138238,28.998361548040002,29.013401360971542,28.730188648938682,26.012328663603892,23.699961908161896,25.281263888460227,22.81457176043414,18.063191291686408,19.946622305067446,22.75334134826523,17.386779550691376,15.423182906049911,17.722688999835313,17.385233080772675,12.42073371728502,13.290512390651527,12.784160640862426,17.456482874395363,16.64189944600229,19.029619890142456,21.655691878029625,26.307972358983378,28.41035152657004,31.320882167480768,33.39376348554742,33.80863382560346,37.210470581297116,36.33337974141608,39.85652757587808,37.27046068085706,32.45284137349792,36.21555914667284,38.33933511201421,33.743107992626975,33.21906612874453,37.36284678431521,35.54991394687334,31.243200475625333,33.50175270005512,29.404511171872926,34.125401304688154,35.99514468248504,34.0842143809804,37.49852773530295,38.6529322759395,37.821955990243154,34.48534391436725,33.57983334764213,35.30196600688489,31.749362967463334,28.685619721554428,30.29848728152607,29.12902887742694,25.14327031271231,27.648440881853276,28.213642066392627,24.13787179044374,23.222303758610316,26.3627313095362,25.18928493373932,28.925431293273146,29.713500379348762,32.21902076887418,28.754076289001524,24.645903520993865,28.991666352761136,28.372335870063168,24.716386474318536,25.4774084531688,30.029474627008632,26.694043533533836,22.828596496100698,27.10684810432093,29.696143932431475,26.04787835239073,23.049800342546447,18.64538465679419,20.747579397599925,16.462835994991813,15.479537110926499,11.756560804929762,13.986345545465397,11.839572704809568,9.693766384529672,13.212536555095019,15.613274321648966,18.33620341110863,20.19912655810441,20.88256124340891,25.334065776922206,24.897584015882288,21.669336829338466,25.780953061944412,26.224668682711492,27.872629774864837,23.47304420024936,21.342792225351165,23.41475718585578,22.557751841069994,16.99018445961067,18.609447990958476,20.939532195783183,21.86200306227989,24.412902200298586,26.653626842873305],[5.183726433011595,6.3355052488251316,11.110690000059945,11.505228282310988,16.942288295242346,16.206128452547976,20.303334500300732,23.05359714038652,23.675012447980748,27.012340080734,29.553390595021614,30.701135873129395,31.9498408875687,31.290151684869972,35.858494514423825,36.945615555149146,36.300196245106,40.93959048367161,43.66241208474775,45.6168068167874,49.1022729845018,52.23974656357468,53.511608058797215,52.58932515511131,49.57228069437104,45.85580830945716,43.28652639120713,39.55241236780065,40.13467314376824,38.93175185926387,42.7238628008503,40.72339260654336,43.97521913602343,48.22543290724386,46.01946461307802,45.00149265323694,42.9583994295353,44.317048821396504,43.68083193150341,48.45848974750093,46.45692638832884,48.43661088842267,52.39543091069247,51.999627502081424,54.147005640539625,53.52752180362142,57.66546214806911,56.06065393969499,52.08632789860403,56.461410398664746,57.96598452973931,57.62901890656205,58.55848372596748,53.54185186042838,57.166605458857525,60.68662453290008,57.60439105287252,56.30404916194603,61.065259159521545,61.82860536162572,58.158720692129144,59.39392638858518,57.039249462588984,59.348439393524,57.091585430796464,53.11549723240989,51.0135064988745,47.6447020091831,45.68118085667921,43.09051220840533,42.84878329668178,45.26705256302238,46.56979059234988,50.057682034412885,48.66223537090696,54.801335184829206,53.22655876311591,55.37198683955941,54.05772820421867,55.10076513312388,52.040410120624685,51.203556402528875,48.34193475119829,48.03996804359148,45.798201112464355,45.192892846987476,48.05959804456816,48.0843094256122,49.1052206129216,51.520648308582466,49.849989704016785,52.863938159893635,49.205717919666206,46.477379730314986,41.84928868638066,42.04037979571796,37.87182737967114,39.234913297969655,35.92583303126068,35.51859487340968,38.47298716438838,35.763275136537146,38.944136981373816,35.43045817385302,38.34797769159495,33.081551782181094,33.642141880079414,32.668700041052425,28.09826428526684,28.683109254955525,24.68584175066192,27.546471905640473,25.44857072672153,27.649772505496458,29.806796087740388,30.704957513907708,34.70993724832356,35.66910163811596,40.64057597863385,38.51978314541407,35.93601540249226,32.613097068094476,30.366837591048764,27.523864324213896,24.27977524074335,25.18567196230908,21.64316167906615,25.13605634582643,26.43544359059074,31.302213941311763,29.196370495774552,32.60068847601741,35.110609978597616,36.44154095015564,33.6623422114603,31.192804790719812,28.298871313453628,28.903447502123974,29.218415310503705,32.64591266783105,35.44290158841537,40.25609371703938,39.62537206781615,36.824221471633514,39.7990093936767,37.96066193301095,34.78789834417755,33.155192733419696,31.282430305406418,28.255021435541188,27.54440498324469,26.93289624732523,29.44342160824176,28.288744580805577,31.259609066697532,32.541695582300946,32.10501308347448,31.75260773219458,34.30399948040592,32.699041826877824,33.80639241152752,37.94347512381743,36.3697849904204,40.606199289444405,40.45553678060759,37.997698167300065,38.907285172486375,40.52151337642316,36.75658887026254,34.597039863183134,34.24221155197884,33.772284336694256,37.16930228432039,38.09299848030222,39.41450855012153,39.662112216353,39.36331770786769,43.576643858567614,43.633936720374706,43.27512936180612,41.90271224201494,37.2237875896297,40.79775091210257,43.09339541177184,41.351826001100186,45.61571574756288,45.94352187616281,49.926967984367046,48.19055549090577,48.55185480020045,47.50084985935413,44.604416174276686,42.40835106127485,39.23854820230915,38.040367913632416,36.37994759090732,31.887691657691207,31.27187460541157,27.147387983375594,26.428969764672576,26.799253726804682,26.003549352739963,23.134526954817538,21.48317729878107,23.027885783421326,19.97969528828826,15.615771231693213,18.018201944927497,20.347256803786717,14.521909519079193,13.28509291172902,15.841347640040308,14.638056540526394,9.837876509249353,12.074717078838729,11.81455262074785,16.809866424262687,16.90792249102506,18.36860852077078,21.061722194616376,25.951506005383656,28.409096005612312,31.129687800320273,32.55658605779056,32.722634627449835,35.88862957769258,34.54666254311297,38.35867202960853,36.20010673197861,31.0079758422698,34.55796783909054,37.19323479801751,32.76898491237196,31.821859335537148,35.92572637651984,34.77244045540898,30.437738338933375,32.04979825927017,27.776270460738363,31.908592754662703,33.91926830051874,31.863088102335745,34.98394102754738,36.14394997075077,34.93325015893129,31.6563624045316,31.031888506185844,32.408498117379004,28.611460565546835,25.910885081647105,27.47922632195202,26.04517227047831,22.216500406411093,25.238986983068056,25.631648415369593,21.29636683361562,21.030792165730524,24.515501801791608,23.485969062823177,27.145096844570535,27.62136513177199,30.56724296298202,27.486402251589166,22.991090314125447,27.41041546826665,27.425579479027046,23.819850157738074,24.233259055531644,29.295682686987398,26.56838714777489,22.353513182385043,26.391554320050435,29.591328406274396,26.439801901281704,23.23864748038216,18.62531463392659,21.713826137264785,17.629176301675315,16.552043403121978,12.050921041709515,12.966184325871293,9.58832143726334,8.727879503081626,12.112555856311701,15.298489576389107,17.310493135783425,18.690999354073814,18.412504225097422,22.819430451327307,21.92949920752985,18.367075491289278,22.314837518093064,22.808102859822316,24.081049115530448,19.70179189199533,17.680418340539283,19.46590572133686,18.477996214732634,13.003882043132212,14.744968670139055,16.90166513707652,17.7576995641157,20.36241400290895,22.660823204559236],[7.8150723136303775,8.324273602502997,12.33086642269845,11.266299062413237,17.262179969691598,16.41090372486244,20.181370177005423,23.31196567325428,23.34069075922272,26.290485918970063,28.799120503096663,30.389274841478315,31.437077040166667,30.274232075713922,35.01305953898241,36.330526449933664,35.455728356883824,39.98788822791166,42.42923805800653,44.68205530858229,47.98795135260482,51.27972813662117,52.3306893399106,51.303585973808794,48.48571835569824,44.661636967686285,42.34759814667938,38.62985010162312,39.416240768899776,38.50997972540047,42.049318210997306,40.5053075649633,43.788159601959194,47.90557309773992,45.74986813564625,44.50086769439886,42.79367175260258,43.85269845971986,43.219721908160594,48.2341736839063,45.86069902250369,47.68022595090778,51.77529834950313,51.442006832847696,53.44291267695007,52.88505123805668,57.063551944122814,55.55878966376133,51.68810432767747,56.193206202832094,57.78367965023066,57.648450218143914,58.53081985256916,53.48996003298157,57.17580893299249,60.52224437116752,57.233522536215894,55.98096358989363,60.76769587003074,61.34733740253541,57.500816403946644,58.70491918301741,56.37922918581074,58.409157010266924,56.188845058967864,52.32754664923107,49.89175964841887,46.63645758691282,44.34904495478255,41.824166766259445,41.34465191020387,43.60392166279054,45.20085861697952,48.713515789230485,47.64225841194308,53.881060006479125,52.47466845963539,54.813269490923545,53.619615826544596,54.72683069535239,51.927591572011266,51.14434291117824,48.58461326787855,48.30495427952603,45.82399971647444,45.138863141601476,47.73240040521026,47.989599377902785,48.61112043028332,51.17221534877812,49.2334487650573,52.12272439366045,48.485240495986226,45.925592810504774,41.239118042258525,41.328929445407645,37.082489107150884,38.94414253154059,35.82410170399753,35.91054511064922,38.71226350619364,36.48292210473614,39.38834862361235,36.24900357652498,39.244265015624514,34.014153693085895,34.98104006385877,33.91548452926989,29.363119734630274,29.88584817823753,25.652884718010252,27.966254063440278,25.501688679245238,27.30454814750825,29.069387065034398,29.692987056664588,33.62219650921631,34.32505141979046,39.188581205668086,37.27220214447837,34.481414976898805,31.275806042769414,28.87035009520837,26.303361338471476,23.376451343444973,24.646446761022784,21.833345894694414,25.39369372775101,27.079199831609806,32.06724496424176,29.961619616876646,33.685542899828064,35.82709189226337,37.26437865304126,34.05319901356396,31.325727689630433,28.375907637506387,28.46575272359809,28.32945906170645,31.842302983116213,34.173696227663605,39.05126090963475,38.49845163248753,35.90060690042646,39.086806150485884,37.36938252982631,34.1741817652495,32.81875927868171,31.308609055575193,28.29043958723837,28.152426901456227,27.429549350104462,30.434734054592838,29.249690122314057,31.842163306945018,33.141106480939584,32.37938837881897,32.33958756619341,34.48126192173821,33.18259959979025,33.89813379756325,37.78022826193827,35.950235140495586,40.34556101260729,40.15794510678782,37.43988134325488,38.7365314929816,40.19338654121669,36.55906615104272,34.16708612671828,34.1036234609306,33.48072350132203,37.15305862202284,38.24143727610057,39.60166282745633,40.105711413910406,39.54784160913141,44.05310050654138,43.91412123976091,43.80573946486141,42.20017651313957,37.819803492655446,41.4450048265384,43.66189032084301,41.672460095506594,45.692063670192574,45.76773595875,49.77175887613652,47.73631633244617,48.41222678830855,47.45083991468191,44.68872703170714,42.64842031921435,39.6194063389696,38.65670952062612,37.184970418012426,32.59012222140265,32.39536199712742,28.456693301094596,27.861282203156378,28.72069384229933,28.03171676370846,24.85225923284734,23.418201595676162,25.411646746550314,22.28369774188142,17.603493858581547,20.552081800737376,23.19011263294443,17.20128138371852,16.184715990798544,19.013464512781663,17.692530553679056,12.97539795201166,15.385361594144124,14.841642579239453,20.04536886145827,19.433546533516033,21.092446682926678,24.049305857113715,28.79239093584415,31.372621269325194,33.98537143081722,35.479816835055765,35.45462392017808,38.555392144799164,37.05594125143698,40.760732641236395,38.63943481700208,33.29596099512586,36.70867825613782,39.24722131425294,34.75049762647188,33.64462971203569,37.59119283036462,36.3552675024498,31.960942682542523,33.259426369229686,29.37819389320657,33.527950237961555,35.806797144144554,34.08899877502492,37.16926337730604,38.641098816737475,37.145280576604264,33.76341997285085,33.58267245314596,34.95445575250056,30.912207774656586,28.47476741671319,30.264852354697346,28.756933655069624,24.979038193191432,28.265419302395575,28.69123728689271,24.279756637101425,24.219941201371412,27.77119896185665,26.65518164312427,30.209254940346202,30.448837823629443,33.403218692144605,30.49120460762762,25.79319610184502,30.006314149259225,30.10390986352308,26.49335003286242,26.504806617721965,31.63338889020981,28.89210280855281,24.42413672718213,28.216948864181425,31.526241533880523,28.290207981124897,24.89175543882718,20.179816447573504,23.00886146473033,18.674300937855865,18.410884914486957,13.69913589998809,15.117218205735249,11.832464007921887,9.958203370325311,13.156895372621959,16.09348145334949,18.074670347533804,20.15114419975067,19.517128723429035,23.980783248148587,22.65340999648892,19.960663028307486,23.962188902425666,24.881447638865787,25.774432779381492,21.14494392491452,19.79693406702833,21.31636752932718,19.516605952510364,14.6605041938614,16.884965080021253,18.51131465747585,18.943939222118736,21.57810949235518,23.788567982335287],[7.6394415413511645,8.24672228244621,12.039917187735915,10.146083021404921,16.238461820693338,14.024580226911906,17.643142619107422,20.4910958575213,20.04089084862258,23.157256559367934,25.39469118599297,26.914174370510523,28.362686390660315,27.10488756744099,31.69206774195772,33.155463158471164,32.60051108983136,37.11854787429258,39.81311881747001,42.132268036634386,45.51258080593269,48.95146977130813,50.068114221652664,49.273069316082236,46.432012954482495,42.47153643736358,40.16050182979904,36.2822827262141,36.75895203000459,35.67611367774468,38.836097778904936,37.37148382985713,40.463238071691904,44.64647176985573,42.714225283872395,41.624050207783064,40.04004521752851,41.41520199873269,41.065429853975054,46.308214404466916,44.05561861423438,45.51198645570754,49.63684739843373,49.55642064562413,51.72712185954649,51.44489022055283,55.57088343314976,53.812050710103264,50.149203620207416,54.83460732118013,56.146015315505686,56.02719944757834,56.67485163036697,51.56815852061981,55.01900616476037,58.4203171205938,55.142555829807186,53.62883385118984,58.3760719609926,59.152314443100494,55.15602304139641,56.071957172429556,53.571246624016794,55.68337730130674,53.65822013792379,49.72249716117314,47.1640812254218,43.74337734280461,41.47710426288458,38.71175326621319,38.33005281236962,40.49605581704424,41.98712911884905,45.673078455610984,44.49941584800159,50.691162237910376,49.511013310442735,51.71152092109762,50.71891811967952,52.06170162445345,49.32137504273715,48.85695230495816,46.279402800733955,46.32234027610051,43.92029785910073,42.86793688228127,45.297843291070265,45.312613045454015,45.82439654641705,48.0919014429342,46.0669320802679,48.788579829642174,45.07193612372253,42.45140483437994,37.800064262167936,37.706689337761134,33.500872067391626,35.46472236199071,32.3960830769841,32.5098305744589,35.573121488413776,33.66241951520185,36.71440372744188,33.938563164706856,37.40214455503918,32.32104953052075,33.672927071042466,33.003517486634706,28.492909792285875,28.43746860093681,24.114323356747935,26.173365017628427,23.23513779864874,25.27177975350628,26.5755174387059,27.529723658608695,31.29536057831414,32.34824133075502,36.887278421537005,34.632196952328286,31.885056316904393,28.587949144364032,26.64250865069059,24.040060057190633,21.02624967641836,22.982446888371403,20.11110049420409,24.043353166287773,26.05528958340302,30.979299508724473,29.568633933787773,33.3577003995134,35.46082182258596,36.407664848999055,33.36687430852218,30.295140421380456,28.00696380435263,27.576293766655006,27.217173903889222,30.45682995712205,32.930500592467716,37.69635161889302,36.730955947410635,34.13549799685336,37.2139063575832,35.16002911911192,32.04135048650233,30.4240761658613,29.006882620650888,25.658428626163968,25.646446948335825,24.408361063029943,27.550169380916692,26.005957847906007,28.44199656774686,29.993236235875305,29.3032585739337,29.64427073885619,31.742974244689847,30.99952724973324,32.03916549793567,35.63654653007954,34.26690247031389,38.62132381541549,38.972786102379295,36.58504564706088,38.13145302221742,39.93363491743183,36.51235332824436,33.8072446902785,33.59760468656604,32.51124169936226,35.924565298932606,36.716309579949304,37.74122177262097,38.06079175752637,37.13187609765877,41.74493972951165,41.891294011480795,41.9601622509727,40.71036262901643,36.321402111234704,40.37872058315965,42.813594101210164,40.733608623308974,44.474381943239344,44.25526085811552,48.542211367920586,46.715034773347995,47.58873037164067,46.91336209761511,44.023105807917176,42.34133869384907,39.42313025485858,38.63978220736472,37.5159035685114,32.89794316984412,32.72260678825424,28.969023803230872,27.775616801107596,29.08664950181242,27.829480280307212,24.511985765346022,23.913847685624866,25.816146751785787,22.113104564256687,18.08562255421192,21.43341132383851,23.397639664965716,17.19056181877371,17.004122464038414,19.775833595698206,17.545466641315645,13.439455139305585,16.74540027500939,16.631355044962053,21.686307939329904,21.97445414814156,22.971393978033994,25.814535255421223,30.706844315506384,33.40050680342849,35.946160545181584,36.923427989317865,36.750059233043224,39.620787192081515,37.71846767985694,41.67732695161015,39.965073287041726,34.35842624469204,37.527114560569466,40.51866844904965,36.220037174118346,34.738973603801135,38.58462373155681,37.95160271327433,33.57869454376833,34.22462854825766,30.296765792735375,33.77303866943062,36.20046183764827,34.3592827196268,37.06267139812088,38.49026553159889,36.570657360809186,33.32086352929181,33.44820850502924,34.34163927891053,30.082672215142928,28.15324407039584,29.738138474295535,27.879701208099917,24.45780387416033,28.18974092591856,28.268561355282174,23.623507453440357,24.366286359160892,28.14445057542682,27.329523083191948,30.80475052764705,30.823122092973342,34.17800507410151,31.602648859506637,26.722299610665686,30.961767461448055,31.5988320525008,28.090585695528983,27.86315238196671,33.32984719388188,31.08071778268177,26.448489603960216,29.9858258764426,33.72353869907092,30.86834403329511,27.378775049672175,22.610418460501222,25.995181898196922,21.823825462996812,21.496482987039574,16.515893624175114,17.02813742507432,12.969992782330493,12.223022801964511,15.028231454699027,18.368425353588375,19.69463107162476,21.395680043285825,19.712756154915212,23.989889113635915,21.985024612909374,19.187572270914856,22.805790232482025,23.799044354326146,23.979500990543933,19.507759206543692,18.455103217426778,19.214494354886227,17.080715654964123,12.90796496164918,15.062236789937996,15.850800403864309,15.863612872873817,18.485427946745027,20.680100333976977],[12.49977212156222,13.459790553889942,17.04632853610136,14.329264162639978,20.476632671864188,17.74685142979483,20.770739745024947,23.583056969360655,22.111854995133534,24.826969171987795,26.600654591949837,28.507359721110014,30.194993437954366,28.180559053640124,32.714421536998756,34.63943402285166,34.121208041985874,38.392102555565415,40.844193959939574,43.63445511886162,46.77010801299478,50.50619863131097,51.33291380467991,50.532512697782906,48.006395733956424,43.844228917689094,41.93858396748638,38.0347607251739,38.5471559536597,37.69838438229962,40.101057096656945,39.28964030420752,42.13428905452759,46.2093611741988,44.6110883416815,43.42547636320499,42.35342102053193,43.62312726716022,43.46964719026078,49.05930011991231,46.454657312314,47.484868264136445,51.764056361330034,51.90731455860282,53.95811513079248,53.876235621299536,57.99829382312932,56.26487646900176,52.85054813107164,57.72298136381346,59.003736044380524,59.109835194169136,59.58818085408374,54.45361094570038,57.80657071787306,61.03923029486178,57.55672066961812,55.94187748803304,60.65747022328051,61.34588627821259,57.05621004615911,57.70958875977202,55.115150046296655,56.9029889230065,55.10541756824096,51.30270033314919,48.18607651816687,44.81995767456752,42.08998297179792,39.21050398472973,38.525867861100224,40.23725414600405,42.13693754265766,46.0361747804237,45.28470236036175,51.50571655342912,50.82075043009639,53.10794123193312,52.47647106778353,54.092446896921,51.7127096821432,51.54238610687269,49.27032014346703,49.53606749372872,46.971233388994214,45.62926398538885,47.623814089793385,47.70213521401951,47.66681662191205,49.795124060379806,47.37126565557849,49.69308346926634,45.93408060887597,43.474084664412494,38.86637609629573,38.343140982175086,34.174059461643346,36.8832236195167,34.13634082356211,34.65047054257811,37.93264766412797,36.7276392554332,39.694691338209225,37.5082366528622,41.28201919796918,36.3652777096308,38.11019386436001,37.544140925904834,33.103435741107326,32.80557863250804,28.387235149690962,29.907870600139166,26.47446872442261,28.18316365750168,28.68712016292905,29.46456261971042,32.92042007408634,33.78272389997644,37.84996322893071,35.70289190230607,32.70254182832121,29.601076323512075,27.80535194846795,25.711430663156055,23.217318029546448,25.927630741820913,23.86138287291394,27.877863534899042,30.258747325643537,35.17532213672707,33.952361784558825,37.935653831583735,39.74835539590861,40.65515493357823,37.34264759778398,33.99128001152116,31.838317767798237,30.7765597536047,29.81427307733705,32.99018305207198,34.818220197333815,39.55256671794026,38.530828367641384,36.268554013503525,39.5211082390415,37.45878771091802,34.417150110139616,32.992467469838154,32.04489223280414,28.550834896438726,29.08747319482335,27.32026533419771,30.757818073137123,28.656732578332853,30.730495269727506,32.668077314866935,31.881402135979997,32.82261573657652,34.53161796374925,34.47032836057899,35.33651536848725,38.4594489254284,37.07173769644364,41.5219351136932,42.04779924546388,39.490984973757946,41.51951068126141,43.19158663749188,39.98260199415403,37.01307358491483,37.099749338947326,35.75511068049621,39.3256614507719,40.15396236915639,41.04313531159165,41.48172115618394,40.09567420915201,44.978081300886224,45.1400288738727,45.523673576440345,44.25577716714338,40.166403754510206,44.388694877511014,46.80611382806642,44.498778162339036,47.87765797024875,47.28032318438705,51.662438921622396,49.579349031811084,50.86240072479844,50.35655470051899,47.59876461677897,46.160436579992286,43.41653221142712,42.867190422243844,41.930445592216884,37.27158353841793,37.4002535460914,33.79084961342459,32.63894113513769,34.18715107424124,32.90540973424856,29.491157096135357,29.041379968792512,31.02718723758063,27.26346505053408,23.251055161547097,26.63952143477128,28.53052862987843,22.33548265886599,22.127500483306573,24.725940470643792,22.371472454399395,18.32575584716228,21.35809888835301,21.444682074876404,26.319617519888332,26.581885085732566,27.923490988768243,30.70545001465161,35.6214127138484,38.10241266972622,40.830193478647445,41.98852716876018,41.90613280335849,44.81999190928846,42.936878206189334,46.87894923898178,45.12404186719073,39.531093717777125,42.68333091066615,45.60024720176487,41.24548479605587,39.762637084410066,43.53564189880467,42.77355714792813,38.37456232578568,38.9365450972851,35.24951531121166,38.72273363790399,41.26797602709465,39.52333471306819,42.15792682132053,43.60200503752636,41.54971897073142,38.33443585191464,38.57119902750675,39.30213285224311,34.99676100680024,33.234981467891494,34.65519062419422,32.64043337512134,29.398951302299103,33.123219651688956,32.95070208486841,28.209022027407983,29.16509620711716,32.911856504662325,32.29379547953228,35.866678135989886,35.987180744244874,39.36189731120593,36.68769619106521,31.90132243843454,36.17078528215449,36.71306772601484,33.1709636036127,32.98820622810603,38.387531135027935,35.94552266985893,31.3405243606646,34.88642872170397,38.5095591674201,35.43790868071466,31.935929802161265,27.164929745458828,30.091268351163745,25.69994722490588,25.68718189451221,20.89261740944168,21.955193153086388,18.093446453906587,16.786294477941215,19.63156575213804,22.653198378603786,24.14384486041636,26.28465710672111,24.514610689111507,28.753780514887843,26.41336104839607,24.096725368065137,27.556672797634132,28.64264639187835,28.387442242614682,24.04366130646773,23.217653557151497,23.42162231885746,21.042252138089207,17.578810433011025,19.41958423724526,19.3784374652167,18.908071136655863,21.30085119766048,23.290990629085407],[16.104838050780604,16.857085454074966,19.937370262275937,16.53864160843631,22.485230430282922,19.392096509261876,21.8146219397446,24.596776936721714,22.38815203445339,24.63620761267976,26.066480471847047,28.307938984194838,30.01345154366458,27.45106338408009,31.898645668725507,34.129450534378115,33.59608289680758,37.624995190012385,39.86798006550272,42.97770076921734,45.909079545898045,49.84189335708089,50.45836914059801,49.68513938390923,47.39781507481304,43.11199895555033,41.519216028138246,37.629702673813206,38.16154260842056,37.52734558250842,39.36263245255298,39.08848901993367,41.770275253433695,45.68781040613642,44.315572395489475,43.02425313137305,42.3726298492974,43.51131344249935,43.51614000434571,49.34908494324317,46.49641114728439,47.164077904940974,51.5323697160381,51.86534286530701,53.83151286871402,53.942083532013775,58.02961919574274,56.28988607725861,53.11406045425534,58.13035770654812,59.34738112475168,59.64002140691731,59.96068446953033,54.82714605374524,58.080905802070696,61.15321599557333,57.51983605203411,55.83097343399997,60.4997271713173,61.112716092168526,56.611849751080214,57.06328321269901,54.42168743929794,55.94895618500533,54.32703441968617,50.647132272555965,47.1396210938411,43.84547236743022,40.80202050730498,37.88377523983297,36.985949661297404,38.3771172144597,40.547736268065854,44.54769307469968,44.11728505304841,50.32759761562929,49.98788478698051,52.35529125126932,51.981508750826855,53.780419933130325,51.71120295923479,51.76371087745738,49.78005323089085,50.22018104077018,47.526734514933004,45.953753660855696,47.57622597156888,47.73497916628158,47.25414754013514,49.31081615845901,46.594368255437324,48.630086227470755,44.888678461036186,42.60363690930453,38.05471449880103,37.276555208283625,33.15955577999909,36.4205518196741,33.975469266384785,34.93169123121212,38.1792763961492,37.59016382095556,40.34993004016214,38.693685229939796,42.665658405984985,37.93709919523565,40.078978211216686,39.60790583432164,35.27990538468771,34.743011853298164,30.26434718311798,31.243123934456655,27.447466175781397,28.845447484830945,28.699959730490004,29.344959164280922,32.494792225932365,33.245133459525086,36.880717424660794,34.814944049936884,31.679505765028726,28.770486823877132,27.159152323840683,25.479131155829105,23.436663163487395,26.69901795794518,25.320949835603113,29.34762789005585,32.04450671148043,36.893033029172486,35.94266003530784,40.08609121180159,41.60224029211185,42.39372427350371,38.888827441621785,35.28874107935273,33.39963857754238,31.763473754021188,30.334842425284076,33.351835345752214,34.720123290325624,39.34161425075157,38.21659661784501,36.22572414791185,39.55294117459833,37.48368231086609,34.546045518089876,33.292488287289295,32.751573555104656,29.22628976482822,30.270375875201335,28.210846099995045,31.955775728256352,29.67050079994754,31.287504101112617,33.353835061930646,32.37519975347806,33.760955491820006,35.05792588749947,35.536719663784076,36.21167502912964,38.89580970390148,37.534726217296765,42.00785487438891,42.73386326594593,40.140888548093386,42.566003659474454,44.2085607283865,41.248501619929826,38.03313807820676,38.30440930120454,36.6818336492986,40.29193524107702,41.11213530871721,41.86398764992114,42.418432112288855,40.66135613593061,45.74886663689583,45.88620132057913,46.55232485971611,45.27513228636887,41.49180373159019,45.85723356704301,48.265705290969144,45.762455973300916,48.77416558785991,47.837316025021515,52.30247244286238,50.071156236665615,51.69945657183366,51.39161070276005,48.73129380143538,47.578340278848515,45.02452924336663,44.72098091088513,44.04610825706714,39.38120607096546,39.791042541310695,36.40354969373522,35.17379715416634,37.10148132558524,35.737280291777594,32.17442162568773,32.06237195539537,34.22056737264113,30.327245793657926,26.393889275506307,30.045221163281493,31.90378731234587,25.675327059720647,25.69712938716005,28.36226684089746,25.814292640270633,21.955109801291773,25.14078443695749,25.20027594914431,30.120575982120965,30.27248048320992,31.584041712905684,34.44560105101758,39.329833433676306,41.8825127059223,44.554202475941764,45.63167855770561,45.42747894817738,48.246329565425846,46.18133572189242,50.11969280386098,48.49749693797677,42.77933390424663,45.777063408494065,48.74562239438507,44.42103010327145,42.76336406649848,46.389234802366836,45.74252552055533,41.34680147136595,41.545347521053785,38.120175603321904,41.37900992358477,44.10192660667768,42.52692586694587,45.006943223207024,46.59809464098547,44.26895224606645,41.070229267321075,41.63611413674309,42.20767174718459,37.753772307427035,36.301007051976725,37.74648472458552,35.6093451852016,32.54279528630134,36.46049215194185,36.195674736736834,31.407454164118,32.6462417165947,36.44910580373519,35.8798204930465,39.381786767159014,39.343547752171936,42.810454291640745,40.298585706533565,35.39872958664905,39.56260113685345,40.264944144634775,36.74912619991877,36.33232886912386,41.815890091501444,39.475987224407596,34.73681241054253,38.08611905050896,41.83897694064115,38.81403782797245,35.21746018839112,30.43255243928052,33.30064813797363,28.87339480394015,29.200653205414735,24.33634340211451,25.433120646713412,21.543569517910967,20.107220059488668,22.732302908593017,25.626420925713614,26.929219382705263,29.28701892490958,27.13564796390155,31.2385859775225,28.50152923301144,26.734674442828506,30.003034013399457,31.312128485846966,30.614136153688037,26.33950969793522,25.979149236510192,25.784929105696577,22.952897136286417,20.28368215683476,22.190785538884853,21.574026703382472,20.70379727481761,22.909773142757743,24.68739539611345],[19.352629193617734,20.028550926368176,22.743910309630767,18.967760272120312,24.54870559063436,20.930989501477857,22.767250573341883,25.282981976652387,22.390052099865294,24.266736332352966,25.21818815224696,27.62693873303452,29.5239055869777,26.53179128858939,30.723878274228905,33.24145864580111,32.870813997980925,36.63446296669556,38.80508876232875,42.16092987181712,44.93861350944918,49.05507435922643,49.53615782967319,48.89513538221034,46.79945620700544,42.40215382130817,41.068779313224645,37.170859448684105,37.564842068578265,37.01803642617847,38.19298339753524,38.380118119487655,40.79866784032058,44.58890934474613,43.51988767916721,42.244103125706786,41.97371866187285,43.15125144944929,43.39905207549104,49.442241381310545,46.493498503757806,46.73174176361037,51.139194113872016,51.715465390510055,53.6772388542671,54.03813120710971,58.04940747237667,56.211951799375115,53.31554155771031,58.46806352069599,59.517035275280165,59.94339105952026,60.0542276764672,54.929053580798055,57.987088369170515,60.951410621878885,57.24033418769462,55.39379290230084,59.979151404137404,60.62331951320127,55.92950525842856,56.09358703528575,53.350293693812894,54.70828212997788,53.32439430998999,49.73083378991408,45.89169641460501,42.603499954479226,39.34898750768737,36.30595282600623,35.28976017523685,36.33668957375304,38.664211102580396,42.80637015549145,42.58919012619006,48.71506739485826,48.76565731807695,51.10607677227065,51.03190252006158,53.06682223646344,51.26894388936709,51.627064932867015,49.85535096272915,50.55302047389635,47.83225117296776,45.95456713439175,47.21979117526647,47.321690341764665,46.464286377112025,48.300822700598964,45.340379055039854,47.043896033546815,43.30371273903526,41.145392157343835,36.71790295234574,35.63145845836085,31.642679302752104,35.36028824054482,33.22022158602022,34.49471001539809,37.80999830703654,37.82039840210557,40.467540623095125,39.359377844433574,43.60059746018144,39.12237627180174,41.62541746606389,41.36576440141471,37.17900394034859,36.30055428675712,31.8462474389705,32.36979085237027,28.247531942105034,29.486406391845733,28.673742875000634,29.348901649793167,32.12005386786474,32.926035547087935,36.01395272048195,33.88436290875024,30.715594285698142,27.982776747060992,26.782246467785402,25.463922818893927,23.802128360607348,27.622583789549534,26.720236016170976,30.771078785805503,33.718267116395275,38.417262320166294,37.88896661396085,42.095627513712685,43.40697696470523,43.942597175921016,40.42477839456743,36.59795234259134,35.13797551620527,32.99034470541458,31.200158342607033,33.93749774840825,35.00961832709742,39.43015048930433,38.073010150147866,36.31486597239619,39.599368394853414,37.41022704779703,34.633587663332456,33.41433849601908,33.21423275066968,29.60839337087339,31.024864402567978,28.583389052991837,32.489928845562105,29.9369174278195,31.120522136213,33.37805816955752,32.33003474997062,34.18065520008681,35.14766663099505,36.23709752499499,36.90715731554381,39.12464638670921,37.997163175486534,42.4043603127254,43.476062295978146,41.018502109076174,43.76920476401804,45.50143962262838,42.807815952526774,39.36549479864842,39.698645147700965,37.75074797698685,41.23538269514476,41.9222226871899,42.43493943021679,42.98148997116896,40.83313307412735,46.04325326064841,46.28818862296314,47.21096490718835,46.08892833175079,42.547028844288185,47.12141659372054,49.58463397528257,46.946221134344725,49.57974941480959,48.30387375812237,52.89893245667887,50.67019802152829,52.59467279444979,52.52944338446302,49.9067352475296,49.078562755925915,46.705848542015204,46.61759751205554,46.22203177230825,41.587431335939996,42.158511246343565,38.98346887339074,37.53742386728419,39.786049926190735,38.2112568240106,34.57723456743307,34.89117248766038,37.080561596078525,32.99940656173954,29.35134085798985,33.17791484330318,34.80461751905411,28.592995645822203,28.92299179968949,31.561667649627655,28.7159380546584,25.164142618788816,28.566683591170197,28.723788512565775,33.59345286384913,33.93697122977321,35.073165679889144,37.925531500113046,42.829510032852234,45.436229019381244,48.06602580016371,48.94894856969386,48.64652698255173,51.33865131164949,49.06228255599845,53.06724230749617,51.6490540151384,45.80947995479685,48.63745076176342,51.765589053773816,47.53398951528858,45.67953688701461,49.17860883772456,48.78433523894128,44.41285327290962,44.221948343966076,40.944115975881964,43.8508787071067,46.69763701959328,45.18041473066437,47.43241245152927,49.0692306331658,46.46193249370436,43.352241627453644,44.18652376705433,44.49689298267963,39.94181164343866,38.840004720600184,40.19976746453565,37.900585353935774,35.093519673566924,39.19322391801424,38.75626866904905,33.93205917785997,35.54649728065194,39.405449733407735,38.968408234692134,42.3957886800999,42.22087547256978,45.8397628062144,43.51544589313106,38.541283861974065,42.642943137781096,43.57660673781357,40.11336088082743,39.52765480263069,45.127427107583124,42.978084880517756,38.14433198294588,41.32221409284792,45.247497791260635,42.35286908017417,38.69345122644567,33.89830876579196,36.87352716982628,32.47122397502704,32.92220008754531,27.970417502171284,28.88267517882767,24.851429926402524,23.60144387625762,26.044776931138927,28.952515672129337,30.003803607029745,32.34220426643305,29.753858618480788,33.66087048818439,30.546631002741265,29.08502080719531,32.050007452928654,33.47240882273799,32.2842818002569,28.22894090183031,28.218800990225414,27.5332489435828,24.442576015561873,22.57872771744497,24.380406254547164,23.149045754418776,21.896372028098096,23.84969942232943,25.402276756946428],[23.040770660763464,23.36325420029369,25.519884199742574,21.24866958811595,26.495040329830573,23.08926906218028,24.30591847417836,26.954818649328434,23.597182571488833,24.70239136724783,25.4485640323806,28.31611601499282,29.80609895114052,26.261047150372654,30.389216295166786,33.1258749830649,32.482632378762474,35.89163803839472,37.597386672345586,41.27823602147192,43.726413213568584,47.969917596780355,48.14741313079335,47.42180566987944,45.65075193937004,41.211616395313015,40.285504484119365,36.54255373053371,37.150644794973736,37.017213356632695,37.75035361098307,38.579081835074234,40.94687184255449,44.424136214323134,43.45992169008963,41.92105009162722,42.118754022300315,42.890397735286015,43.169322473682435,49.354474860842,46.04369447824593,46.00877556103008,50.4808845813807,51.157703165058685,52.91642943951192,53.3901997790975,57.35813473427657,55.64218498425328,52.9667684424618,58.19126586179687,59.28524081482935,59.948065551941234,59.976162985837796,54.91515180528857,57.96577734641857,60.6685681258537,56.77106850486708,54.99668732523596,59.523135747943044,59.942731544721994,55.09029954154687,55.180059345155506,52.51558262116233,53.47600047913341,52.190970392593904,48.824515757775686,44.60184486473759,41.548948225790184,37.91917212386526,35.04964641777601,33.70583448159134,34.42503178861973,37.14052192852942,41.2224238652947,41.488194625876105,47.59351566044141,47.89662364739946,50.44188181002114,50.54140949181036,52.62875012970594,51.215376142941786,51.652353751613354,50.29774754632699,51.021842884474,48.09488039347956,46.14205185385547,47.00954555300814,47.3911334596237,46.02429009151351,47.993095866902515,44.7396706101528,46.21515551296265,42.607427934160825,40.765420362975526,36.421714729739215,35.2304565113859,31.318865343951522,35.59660011248796,33.835717466938775,35.72142656065972,38.64639381373885,39.241976090168336,41.440613323808044,40.809289708908686,44.98902863284269,40.704865682996584,43.5449211526704,43.20914257331124,39.177834077667534,38.26651260147423,33.79170461470416,33.72984903427972,29.45531544419636,30.155625206074625,28.805830799828414,29.11567743970659,31.53435601851282,32.00410728362744,34.66874996907758,32.87280462495772,29.565164340832407,27.193066851045607,25.993185836543283,25.246345130430715,24.232738659590545,28.287506659115543,28.263763538759783,32.10516334236631,35.28332346176794,39.88276548715425,39.4320345111694,43.79611010947936,44.71279920075613,45.29331199070407,41.47502817002426,37.50558706691563,36.15660594470875,33.50893461802835,31.263244951967874,33.85463329886293,34.28576068516766,38.539314833701894,37.247450244291606,35.853129434678856,39.24003673578232,37.24755318818777,34.59887899264782,33.768973897265894,34.04092018675824,30.657114868600257,32.646740756925446,30.26149215432372,34.4976691739441,32.15050584292797,32.79612007320529,34.89513052592049,33.48577027516553,35.60341184822715,36.02501113803522,37.44205257828237,37.65687284141964,39.43847593780791,38.11273643894397,42.520969978495415,43.59146984126381,40.985669600132006,44.11424302556116,45.67591011984599,43.2583320563247,39.649241806359576,40.255227165645046,38.1501188106162,41.75112138527642,42.56028263994766,43.06543507131951,43.87646124088197,41.480657111786954,46.871075822575705,46.88878461922977,48.087023343485285,46.759362563024226,43.658329613634905,48.1817079935413,50.51767410988369,47.67523217814286,49.93088539169401,48.35886396846141,52.897273927403205,50.40618661839942,52.67868397804731,52.76097447729502,50.330527560445546,49.745141660382295,47.60032140432126,47.773466536495135,47.61383552690358,43.01759095552943,43.94965656937601,41.040922273817756,39.70110765342839,42.31477344616811,40.85440975748683,37.06427403099211,37.55009883072724,40.03350432442748,35.988790461302095,32.211502875676324,36.30460634747361,38.170847135725104,31.947988460604954,32.356592503973836,35.19773032843158,32.403117719245444,28.846231736766736,32.32215836861784,32.23675252978405,37.30722110092888,37.171149061229244,38.35430756339392,41.402659623493314,46.18218530264012,48.96272519063824,51.437716995096295,52.314316913767634,51.81584521536995,54.41646380076357,51.98494158162106,55.87127371768278,54.53349973632644,48.588370195221955,51.246272439934515,54.29408797645661,50.06932071214408,48.06760063244024,51.367455147924645,50.980214490711255,46.63469723004599,46.10487039371171,43.22318354173441,46.03043153029964,49.071877526379005,47.874940574938606,50.05209001771539,51.971388059269074,49.12686936346638,45.966056943322904,47.19622602754721,47.526595356185254,42.81874245206699,41.944615683795575,43.52552384866557,41.23860225497278,38.46664357382032,42.72833030714457,42.40402399374088,37.60739336251287,39.26501377264512,43.163147973013345,42.591140612260105,45.8975599903828,45.49484220121502,49.095695394034635,46.954974645034255,41.81513356533149,45.709561911137925,46.73987071682487,43.301034418882146,42.389069932119966,48.01245010856979,45.9348135000731,40.94119524569089,43.858078925076214,47.87217860810957,45.01692722677497,41.254036808880784,36.490576177000705,39.32799685010609,34.92709328662181,35.84435686067158,30.8425249999999,31.89096148907952,27.99712667932115,26.423300517880687,28.597373491783376,31.25493783140254,32.14209323014089,34.790936634124776,31.9999593821352,35.75091546615296,32.38958365300988,31.700441060930878,34.58868924686208,36.326896049800695,34.90814922795532,30.806378650206117,31.334674883435852,30.59071594422573,26.990608050365733,25.715004474061203,27.826879984750896,26.46094861554711,25.002186119027012,26.83235867563285,28.190850862242833],[23.87907225601594,24.10593232282845,25.857108708268832,21.53452089637644,26.154546579925604,21.96957173016334,22.630030913514968,24.695746204234467,20.824494770631023,21.809420262457206,22.001871687958687,24.744233276824335,26.656321841735682,23.03065306847763,26.745196417085072,29.63738511652416,29.445114850173603,32.71436523282013,34.74611025611258,38.40342690440877,40.931978217039145,45.26858697977673,45.576681986662365,45.180124011668646,43.35303138730148,38.84510129139365,37.89853926874181,34.04988351850455,34.22481382865794,33.87420158102297,34.06109259550643,35.014619384955864,37.07812093895208,40.55861508476418,39.891173317954504,38.58426425392936,38.93383314826295,40.07974247168075,40.69636698848218,46.98828018684034,43.93969741468265,43.49706947872078,47.90855736219731,48.86187986347002,50.82277396758683,51.59557017296946,55.44094955178672,53.43226724485803,51.01439076247224,56.33768909194149,57.088585619876035,57.72502176970684,57.500066805651436,52.43975069411032,55.17273959104984,57.92966241807127,54.12429528910009,52.060892386056686,56.48816780950386,57.164775097514855,52.22082519789816,51.972594363435185,49.11870268191817,50.22034724385293,49.17843069341314,45.73769417892073,41.469971919287744,38.22636267334623,34.72036141263541,31.54718505920941,30.38671080337724,30.977830609160062,33.471227883001966,37.752334284303444,37.83475128131429,43.80799928492932,44.3713134583601,46.69876389388749,47.028766534215066,49.36357104745091,48.0158786403158,48.81077262949509,47.44027106558324,48.50831319364578,45.752182511943865,43.42957596318316,44.10428615543331,44.17584300479832,42.720923410772755,44.29164036149145,40.98752293908379,42.24135654169389,38.56922004732997,36.6775286770967,32.459360559105,31.02344121518494,27.25177343136739,31.658526836331976,30.08337334119036,32.06300256801433,35.141852298800146,36.175427148048854,38.41138244924935,38.248972911366494,42.771357449162174,38.801995585968164,41.923086998392726,41.973880738498245,38.138332575236994,36.73281635224861,32.415961462027056,32.055916949847564,27.533597638159048,28.38951046638262,26.494509868457246,27.199272625650714,29.264446148532148,30.203521579549754,32.35202926986296,30.112892434414743,26.9919229027646,24.600891261769313,24.16283522081529,23.45857395641842,22.509969618824854,27.079875567576988,27.074640809778963,30.981802215360606,34.290457938286636,38.613773336343755,38.83643792843026,43.09205749374264,43.98476512407445,44.0629919324558,40.56842325375792,36.423626343241004,35.78459766781928,32.80686249633989,30.494055563067455,32.64115689272601,33.30832184452863,37.280366350211814,35.50130490725469,34.12289782633619,37.240059224879765,34.89019442379397,32.441981402378126,31.335381692738007,31.74188770548779,28.188122792894017,30.302727753717758,27.480904684334423,31.695499742942484,29.12351882361179,29.375957838354225,31.64848385932128,30.319678518209624,32.8408771588954,33.11541925312697,35.1424877680227,35.68745997302529,37.07222595733868,36.34388915032843,40.54948786822058,42.199692494687966,40.07431815546214,43.30595705154003,45.22914963595227,43.04545728550906,39.266671183692466,39.64488031063348,37.15432010329429,40.324619709396224,40.77365942971176,40.892872367708684,41.471015955797945,38.729342311986734,44.08756689396302,44.42442142966276,45.77587043419867,44.879625757730736,41.84222005665886,46.6786094576647,49.1922085462106,46.35205004117405,48.29838099687838,46.47423705255018,51.23789202030312,49.08720992180766,51.4627510482976,51.828635499157606,49.27787843807454,49.04110544368547,47.021969346815325,47.32459242801936,47.4648621119551,42.960869458064025,43.826796147014555,41.13093388051576,39.3219278552578,42.20496925935719,40.328221565195875,36.578719636874105,37.693799515146566,40.022715494885674,35.70926818309233,32.5688486794222,36.76899211016905,38.1195664791515,32.03691340068077,32.95685502803437,35.69456109695562,32.45841298600181,29.477346294456495,33.34237779744244,33.44609982469638,38.36794647689572,38.79536991937752,39.476300543635894,42.418997587718195,47.24238368299004,50.136494338562564,52.495086855198416,52.91145389171331,52.27503033534605,54.64017733930179,51.89526187109027,55.942212398672666,54.98130512682163,48.89970400152244,51.310369612295624,54.71918508129348,50.72650036564468,48.446996297852074,51.62615826940226,51.789932553135344,47.519561633853655,46.486441768667596,43.56701699282151,45.7358492089931,48.82151085320302,47.534973759904396,49.33670558478347,51.18675713679702,48.0279786628811,45.06792821869177,46.54886076978652,46.47342821921675,41.71804164580421,41.317600992098136,42.71765154950577,40.24106197651512,37.869745156432806,42.344120654743044,41.80221957129328,37.03564239931012,39.2172317706668,43.17292770340109,42.796652168415136,45.93458667589269,45.330766528158655,49.17219404812204,47.365160046137845,42.16883588605271,45.98506649485231,47.43511883062953,44.12971473916416,43.051104102957495,48.86062972363413,47.216113782284836,42.1540968645793,44.859276487101134,49.180849467687594,46.677718038200894,42.88018209172689,38.11197712438353,41.430971997265054,37.18961025153894,37.922640578187185,32.731270065893604,33.159633511958184,28.952564916943416,28.067697422431156,30.02139526583255,32.94044593704028,33.38468061758076,35.60397421934006,32.192125763047706,35.61939911475392,31.883375399798744,31.182355559398424,33.56583655784345,35.30572706296924,33.318982078302206,29.64272236627155,30.480695995298838,29.143214467879055,25.4386855352699,25.122519100814397,27.011822343556585,25.001578348197548,23.201360805680288,24.721689268583095,25.84492399170093],[27.713918208311114,28.212950377500885,30.391201472032602,26.098473333199504,31.09071925045932,27.300699155690566,28.12207370243162,30.362831096656766,26.515755110191314,27.289062144289087,27.399375310125844,30.249963063283225,32.03893644497073,28.153349444601307,31.73922983263498,34.76334638236963,34.404392024705025,37.37714706179306,38.950974591467336,42.881506551964456,45.076269863184194,49.496099835841,49.48091128560267,48.92848634235101,47.45225396660372,42.95069901652913,42.37900476946823,38.708654410887995,39.11404261545946,39.05043267691772,38.891287936565085,40.25887600766286,42.19140962759167,45.47146608726878,44.95940784828223,43.51623125396549,44.162307726424686,45.02514209650886,45.598770781268556,51.93363577305695,48.56977591078011,48.02193088785182,52.47770486539011,53.4376044776913,55.16311714190912,55.915290778431526,59.752448362916674,57.95186073899778,55.62635532620738,60.945557548009745,61.84362438363248,62.64323155192147,62.43014403604115,57.422939937605975,60.204518024977666,62.76888955481648,58.82495235654381,56.865137382241656,61.23629213074288,61.706530700043665,56.65920528581306,56.35818293858437,53.57540899651259,54.298187990676404,53.36597025268312,50.16097722487209,45.5483794343584,42.55678312758425,38.70309784940285,35.71648755219238,34.22945521580554,34.35863223805748,37.268063728231084,41.4902235891774,42.066511063008086,47.926770751567155,48.80535513842193,51.246446698732804,51.76851733821802,54.15628027000527,53.083880645983285,53.90822221741419,52.77686452814197,53.80446415077276,50.910136307840325,48.62621992632299,49.07383078516134,49.33560464937435,47.54448908104991,49.140947034356735,45.62133376287852,46.57697262094346,43.01807347427542,41.36366452954809,37.31199699736705,35.66805930824006,32.09165340733537,36.82045473875523,35.472442320887474,37.55792886141244,40.64002800924243,41.84780766412214,43.993990330334476,43.92006722785292,48.365181690893394,44.366670955725546,47.45628521929743,47.35136281984812,43.45324343049943,42.23994602231455,37.86066637480223,37.500352616553435,33.028941212497806,33.63879546524355,31.672119498208303,32.029665269629966,33.94194695806372,34.45231421645833,36.35073595632601,34.53759441534005,31.29670281325133,29.25457950262966,28.602685592149584,28.29050787146162,27.67343468194119,32.097837414928456,32.37277839848826,36.193603003462485,39.5015846853199,43.92064167764667,43.83420141039803,48.18774868517955,48.97598755398026,49.31417667563335,45.56189773372568,41.45517160574469,40.47993378399545,37.475402602964735,34.96330006285342,37.23359838961437,37.32739673995157,41.27011016994769,39.76426737976882,38.671772769928616,41.938622594392385,39.8431264835058,37.43568465528678,36.62674267220465,37.20577173312205,33.77524546489244,35.978134333927,33.19365053218667,37.37892642592795,34.645762293878775,34.92679611353944,37.296668695118946,35.96190973593172,38.53050752426186,38.68484816430941,40.720838272520915,41.01328293499183,42.29731550438784,41.27460403055658,45.53344489420346,46.95134648991082,44.50956588004249,47.9028822121969,49.51606927612522,47.356106120153385,43.601026926686,44.25761980151701,41.89896239233784,45.32094917232158,45.97128975257045,46.2101367323455,46.95465957469803,44.17929907332559,49.59522087489267,49.788159731462514,51.22236145392689,50.1146465693526,47.2436922266455,51.93833086992348,54.32190453790031,51.39340935583816,53.26945983355133,51.367787280580664,55.997115738018245,53.52915266383993,56.08554670182102,56.40059969841092,54.0286605644807,53.738958935887474,51.76225214369818,52.100122607753164,52.144656189011386,47.59974634525979,48.60945476889794,45.831180451738206,44.32270606285018,47.07423432342988,45.42362455986188,41.652143243376614,42.39508734038611,44.79375298541059,40.61645319783255,37.10006072471666,41.185851196786395,42.782684882060124,36.605774710564276,37.15655657280092,39.8547764907524,36.841045080610186,33.491393812161334,36.99467171103968,37.10921403784168,42.02459786575154,42.195089071697744,43.334465451509224,46.2837856349312,51.130319143787005,53.826247088518016,56.38056199650215,57.17281226377732,56.70546014624233,59.25711581056344,56.734861336723185,60.699995668382556,59.477470504390006,53.49758966232312,56.078911450662225,59.243490030897725,55.08060695181195,52.995194829054384,56.235390538211576,55.99606852095971,51.669113729590435,50.95451249169683,48.127282068747526,50.69352366219267,53.77363212755369,52.53852422862846,54.53972463450191,56.38580158411969,53.38835494180223,50.348538164725944,51.65688914435922,51.73323765705042,47.02819179297761,46.37792379434161,47.75557248689448,45.32067486780117,42.7906834004888,47.08652102574207,46.52876788296375,41.70710484083377,43.6459445081057,47.54310210060673,47.17025754145755,50.492767673722085,50.111249054425464,53.8252132837091,51.72268110530033,46.62739239039972,50.561398025747195,51.68893287589148,48.26912011274276,47.38263448519831,53.05041085900531,51.02579694477458,46.04207201075998,48.93747692925631,52.99592517925016,50.160118935215955,46.39934484017569,41.6341049793251,44.459216287500766,40.04236743892529,40.9270289251286,35.956469907122504,36.95700295208616,32.97033346692825,31.541265435243897,33.72415671858112,36.39739120347477,37.2260396443402,39.82295650767993,36.84207826435579,40.46154849925118,36.90276088779363,36.256066584450856,38.88496009807898,40.58020606899056,38.8043378013409,34.99843761913203,35.59226116568664,34.426164242359846,30.89978205982766,30.086751206884134,31.894928082652385,30.06148543204627,28.36402794695544,29.899086631443204,31.025956834329385],[23.748660059746456,24.690210417747064,27.564282365352707,23.80380440827185,29.28484941585772,25.421669909687065,26.989297143383727,29.21234700931234,25.891677616207165,27.521873318992927,27.958975072843902,30.374367533636665,32.56655584891714,29.235829887259335,33.04238401472542,35.83389494512315,35.679166357462535,39.11585394761807,41.154494826407834,44.764787019056904,47.32939666072425,51.617294836582126,51.91090237619543,51.36696479974449,49.53068023128663,45.056371380810646,44.03098209442173,40.1776624450588,40.4494041476591,39.9732772126106,40.41812935003061,41.05212263332801,43.11143970539271,46.775637143182706,46.085742548997054,44.88078045808578,44.97716239491833,46.218412692126535,46.686301561289824,52.880551890536466,49.83475028898831,49.68283327782751,54.10987326714709,54.89975633009988,56.809842580033674,57.36735953534268,61.30221603653205,59.42969997428521,56.78714593669056,62.02579487969446,62.95998970021327,63.50677578794364,63.44327709748685,58.34376265390616,61.215511322365984,64.07215892968908,60.29818748940549,58.31267000820725,62.791953671347684,63.4589632004434,58.58650687402429,58.445197595048164,55.60006282575223,56.74638756587492,55.64046621772127,52.176064990261644,47.9727179814467,44.73338548897061,41.24104000366762,38.09253101471285,36.92126777044664,37.469247896264704,40.011310497566875,44.29819569089524,44.36605997253765,50.32495967213406,50.8664083298729,53.13528147658601,53.417203909260415,55.70789726702908,54.182522192175334,54.84644033226883,53.2457656918387,54.17674966799597,51.458428814230345,49.326411107681324,50.261129017930685,50.276397682540725,49.064632426962106,50.60333459616672,47.40178194562866,48.66807942925482,44.941751087572705,42.917937683287775,38.706874266838305,37.205648227629176,33.468023519325854,37.59813045525336,35.77506148098368,37.166597108227734,40.7061047605071,41.190827593679685,43.851891322932914,43.159265792663625,47.62953203335706,43.333867167231446,46.0018589115377,45.89804812544592,41.77776491534998,40.70152951458866,36.29936869747534,36.628979948454315,32.33587801365777,33.488361703852796,32.184234631094995,32.84853413948611,35.25226956021737,36.02308514778455,38.545306240373904,36.44340439240384,33.262633475513496,30.785488713627746,29.937319538245017,28.999472224023155,27.682271790539083,31.812029131289187,31.17420933665893,35.2235723202017,38.27208696192293,42.878434549501954,42.549646885698635,46.769227884871775,47.99437930886562,48.40607571137048,44.888801538996525,40.9571345510961,39.68449586382192,37.26988938062192,35.22951580265844,37.788518084649695,38.50924784297117,42.74696589086122,41.27953232892705,39.7757361690587,43.02798205247377,40.781235105616446,38.1645081229695,36.98662293842729,37.033368822648534,33.364336488783806,34.94077182163077,32.139982653593925,35.980755164880705,33.00057010310972,33.95969013706747,36.52089520902658,35.5744991208507,37.8021648046811,38.588510316134226,40.16334754438671,40.8848872027942,42.73836895499574,41.787175645382824,46.12438721328529,47.41277517989726,44.99472502273615,47.97485191421392,49.684297657807086,47.1550989894585,43.60361586060514,44.03276919247873,41.92529441818011,45.34873004958506,45.95460795726098,46.289518411284966,46.79701075927402,44.34853371254082,49.601913469516795,49.98312363218244,51.08630056267174,50.10523840885662,46.7232815978458,51.42144370782981,53.91033437224194,51.19373061847362,53.56631306648502,52.041613548940624,56.700334406456705,54.423833061606345,56.583280738142,56.66423197229241,54.103857141437274,53.459902879664305,51.19652198537273,51.218003922902454,50.928236579039634,46.309885408869505,46.94718962834969,43.82069200738416,42.31420967086814,44.59462935912431,42.917284786486896,39.31271027132353,39.7113896576415,41.81147749863997,37.66536540435486,34.15054058205803,37.890827501618524,39.32703350579724,33.155761698694235,33.48112335165448,35.93880587641601,32.981639719564164,29.521960019744906,32.78864462339244,33.157266360511755,37.828307408320015,38.41192550879731,39.65779789926935,42.38654696596224,47.35512624621007,49.78394968948878,52.56554593684212,53.50497012208162,53.31669113714402,56.03965063890559,53.78758227023761,57.84596259897183,56.42642640585541,50.61581516532129,53.457084051387476,56.61176429671917,52.37799741834091,50.53935160888494,54.03573759496637,53.62986633312256,49.253478532983735,49.05759729341342,45.80504406046787,48.649659963115035,51.50105273663269,49.924112506751776,52.10004921801218,53.630039733508774,50.98172532518865,47.957678097372344,48.74681092242181,48.88479718764913,44.37512077891539,43.357605468651755,44.4996946422114,42.086827569581004,39.443660487866794,43.48056519179821,42.81686726197372,37.96531596518772,39.73616535249296,43.55331401120381,43.314649110676136,46.82348459282423,46.77448761912646,50.44242501115152,48.03059680875553,43.16908279132215,47.35988984369369,48.25279800816776,44.77463272974116,44.3196158454214,49.89289366168463,47.65429569697458,42.89132796167056,46.14031411630845,49.99384480553184,47.00180337109638,43.37942123579892,38.5935190113629,41.394370695278916,36.92862928219586,37.351015113416224,32.53333800927061,33.584270904406885,29.56160189568514,28.28645835582486,30.81834965169142,33.666008224689854,34.80684401891503,37.19403872483847,34.600777642970925,38.46967192342718,35.25793549438765,33.78410334650961,36.60281571738402,37.93949302651391,36.530488151886786,32.69754045725217,32.6202190991728,31.61538013686001,28.688940892387045,27.05820808277356,28.523396169390224,26.92218658545388,25.50507607434641,27.202991584842636,28.56614197647576],[24.469097089563235,25.240321843274728,28.041327854445957,24.149572785485564,29.78817520572583,26.55497842953759,28.179526703564633,30.827581878001958,27.667400903867893,29.03702169074991,29.77247686805092,32.47505233239173,34.17448458690481,30.70298812492998,34.774882816366734,37.52600838888396,36.94978776240723,40.357356823071264,42.020726946003045,45.73598579869566,48.13890638098691,52.389751314761476,52.50328590178237,51.7117729095444,50.0118306594769,45.58582658734116,44.70220295318315,40.983620566384104,41.62056153445708,41.44729779745682,42.13975582555477,42.9178131599282,45.20328638812056,48.73985147619328,47.84913268945444,46.37105861174592,46.52838886834719,47.34820042982658,47.59283847157766,53.747717476562244,50.40604864607624,50.441038226062346,54.920288907851145,55.551323074047126,57.2533929641497,57.64665519183016,61.64070868686846,60.009679534614634,57.27282400826664,62.4589143362117,63.64146621617938,64.2899961834738,64.37338834424173,59.3060872836528,62.396965823784896,65.11586825908411,61.2141152462337,59.46360812917012,63.99318751438042,64.39532099448736,59.543658678366526,59.62735053086523,56.95367998515212,57.87178217861319,56.61471305419787,53.27815571640747,49.00020718805625,45.974107567348476,42.289993549991884,39.41779085798542,38.02594076554237,38.59354281427436,41.39344319586473,45.504557209764975,45.84592344956334,51.90393739356367,52.31183391299633,54.819718821231156,54.97564136324377,57.09250032978785,55.65733457899364,56.086152317199584,54.65989130285816,55.35344801739612,52.44209427317818,50.54479064190953,51.468161162209036,51.814034054113755,50.48380196766339,52.377924524748785,49.11601701713696,50.49395865338966,46.8649334375148,44.994292374017405,40.7041644332705,39.380817930573826,35.54377662496161,39.78905542997849,37.97951157132725,39.60094940425828,42.803223736154514,43.223345747275474,45.6355248431898,44.818143022193084,49.003203602940204,44.589322456867464,47.21044340475893,46.8108503682648,42.65096278067674,41.89556649319962,37.40025490605034,37.66367938512392,33.49602827004913,34.32402651372143,33.175605909853346,33.457802727188856,35.95074748581277,36.31347790942756,39.02308123748669,37.32107183652843,33.99198721723169,31.652124260166296,30.340387665512157,29.57127956521718,28.455559277309995,32.312909693230296,32.01573036556843,35.90219286196311,38.94239367934339,43.65927304764354,42.93132110136106,47.26637255429676,48.33471456961471,49.08915334291827,45.254512960667654,41.400171076055244,39.734749357244205,37.3554328672001,35.21430150360345,37.97408708334608,38.33359039138485,42.66368524082379,41.53221351351044,40.14406594773494,43.58669541028064,41.65296569445153,38.961624588787785,38.11457796783294,38.257814994421736,34.81513784460634,36.55790656843393,34.11558171105384,38.137940112621045,35.501284552532134,36.45453348340864,38.76138322455561,37.56708612535443,39.61269624519465,40.25327700652487,41.53507419833283,41.8402289693915,43.78293471579193,42.367934365403265,46.819592554669455,47.72396480786042,44.960897769405214,47.99390099260089,49.40601582481327,46.843900050312534,43.360335577970226,44.02694971823497,42.11627215440346,45.83879535993749,46.72438928896627,47.31379301870218,48.088462310108284,45.78671513034437,51.129636885616776,51.18697369544391,52.293113931243035,50.93539175569325,47.70148605284585,52.153096774244325,54.46460536979068,51.674865092409874,54.09830341582368,52.63672184418517,57.11107436320134,54.527643683255235,56.73431459204148,56.684814465047495,54.28384757618342,53.509191758621796,51.26277691348618,51.305259331308626,50.92270448944503,46.28473580386253,47.11146238153034,43.984057028168124,42.83231643475205,45.10162090883964,43.760747120209,40.070422082387154,40.14746660770265,42.486795497161474,38.55920134795569,34.59224147789545,38.37953616958513,40.281431832933215,34.050388026007724,34.09234710375629,36.73093659190022,34.121956196169485,30.308540877058796,33.35858379195973,33.44329457679842,38.31197637419987,38.250355927013146,39.815571270460104,42.71425325783984,47.55935403634446,50.02412146720219,52.766640343348236,53.98240344368532,53.76520295577671,56.579073642639095,54.45050361311118,58.328552788296484,56.71486339527751,50.95347938818778,53.85598190427301,56.73154012708774,52.369681363261336,50.64053671577476,54.10516985560937,53.3612551332802,48.96915684103581,48.93513045240434,45.899364757332144,49.0902005056983,51.99364364600353,50.64168007670807,53.02131426424715,54.74982401722754,52.193480153312855,49.01313735042907,49.847624024599604,50.28059350797188,45.73036759758331,44.52124178137242,45.92493639620398,43.66937535066579,40.77427873174037,44.75473234429447,44.335396459259094,39.50731077849556,40.92945606945553,44.71975148540273,44.24928272330897,47.773362067256485,47.71343580935506,51.19832380224903,48.69133174029662,43.78422626992201,47.88831727380467,48.566296412391374,45.03305485972351,44.50661609512243,49.95257585722182,47.49692820097065,42.71429401911181,45.946360460387616,49.639777754086914,46.47001606803882,42.83538137852466,38.09684272923787,40.53203067957764,36.006416943331516,36.761471585414895,32.063863667490494,33.5440816053786,29.822158553353496,27.981969664357774,30.49187540370083,33.04082433956287,34.365766913699936,37.130969133264124,34.85017540282388,38.82079728213475,35.76070411928536,34.664098812510325,37.756943774779835,39.25400754954257,38.12239394965742,33.99409238770197,34.00777393288563,33.40168066359051,30.269358624893275,28.332439872140863,30.136082902340227,28.948349375938605,27.680094227422973,29.54201041421556,30.981701341881177],[19.386388773910316,20.5373177137079,24.00246164472736,20.808151608465245,26.836947558366738,23.798568552189817,26.20657861097875,28.889116219631717,26.487492300065757,28.6395247982973,29.815758793648587,32.0833568806455,33.97233281678175,31.166299040687342,35.467574926142454,37.88168537668515,37.4128815501083,41.27579522888978,43.36425774836581,46.677431691611076,49.45388929336883,53.498240568405336,53.94963652176452,53.14561014173011,51.05012035490104,46.71271087947766,45.33528984377637,41.48603136533873,42.038813877493645,41.48741011776899,42.94451112441112,42.93104106228041,45.430021586476045,49.301439878639435,48.12859360624396,46.84453310925854,46.39283915274419,47.510419852835334,47.58056314635427,53.497338765700725,50.50649320927255,51.02685784768647,55.43693062787362,55.83624397888512,57.713055147900604,57.86096324255742,61.941298837092184,60.2658020498511,57.17237019320799,62.218297860591605,63.46548093585952,63.8380824966281,64.12102434861708,58.99306995819326,62.21211339536863,65.21611121530098,61.513611644245465,59.80106322519545,64.43571169706267,65.003547983136,60.39735247039579,60.726950032930326,58.049981822019085,59.405912339777224,57.91019542236571,54.32397479349823,50.55894597207797,47.32505622014688,44.0635479781452,41.11522710054034,40.05521703180424,41.12495251188305,43.52233327918619,47.61070089691709,47.420885988334526,53.57677125703592,53.52250822534873,55.89056783415863,55.710496908568906,57.63618126106067,55.71676780789828,55.888556899501005,53.996054437103105,54.50660863827114,51.77771243467946,50.128636842919164,51.5935183495576,51.752964151587626,51.06546435824425,53.0014297020867,50.12386433698847,51.909952861846406,48.162638830952595,45.95255180363793,41.499844824955765,40.458153018255764,36.45559659513161,39.99342279479065,37.69626350687799,38.652331089638835,42.10996700468077,41.70270118573403,44.530184254561185,43.00315789252682,47.05857282469418,42.35255772471613,44.475014547510874,44.00627510635887,39.655573179313905,39.14029936403173,34.674271881401644,35.664786929958446,31.82678218320879,33.15503028945577,32.808731313788606,33.35467933512968,36.35287572421583,36.95359184843929,40.34653914030246,38.40248329737943,35.184214457934665,32.4387741415786,30.879455091100798,29.458097768770557,27.636555453258882,30.98731135465503,29.74751917962666,33.75439042427247,36.44764590464839,41.311078165478165,40.26566476572475,44.41716836304797,45.923553457128335,46.79760532897625,43.22201296844137,39.62934028087378,37.622496541338194,35.95082332014977,34.38272132379036,37.418706444072285,38.46695000372087,43.0593532075832,42.00751127264278,40.18407879714642,43.57565294148675,41.55364469488528,38.661910081642446,37.49096262245972,37.065701891566995,33.50900413619722,34.583893015864014,32.33787271731519,35.98972555709731,33.36414494568412,34.996440721410664,37.303365165556315,36.431242646954885,37.98347287453727,39.24503198160656,39.89906809345777,40.561500968809014,43.126059676797766,41.727445725310986,46.21732692228303,46.91438185189186,44.191875907916405,46.72169177366303,48.217179505586486,45.273293167856714,42.066301080412046,42.47632396742968,40.88928593027035,44.588836471962054,45.456438806604496,46.19639481788006,46.76544067878479,44.90188586197338,50.02279026866667,50.19360045096117,50.92031715472532,49.633939004564354,45.90688175867294,50.26106193541356,52.636763915441875,50.09932780264427,53.05554703041686,52.04179409667676,56.482532194767,54.113406031570186,55.8534994807961,55.536287594163994,52.95649208164071,51.78796479741275,49.25051201164885,48.94937619607426,48.20392058787149,43.530059522727115,43.96455473094692,40.50389653920812,39.41297248987875,41.16769767567598,39.87888247316691,36.386520122189204,36.04657674596829,38.105975001612286,34.303706408141615,30.291410902153853,33.69768689870262,35.53710847521238,29.364238652704756,29.116955441005835,31.561148843465467,29.13847261725593,25.15429783520906,27.919126199793293,28.163676547563778,32.8397346663828,33.060000146057995,34.72365724066771,37.437070339711575,42.353472520596526,44.60541961878539,47.51286661071069,48.87453943051448,48.89521265914578,51.86227538759741,50.014894591599365,53.93333615564768,52.12052654856367,46.55404763954152,49.697785703049654,52.522032019907,48.10829019105516,46.63983482163175,50.33738285846128,49.422688269329136,45.00942048880391,45.507441243900416,42.07091731947596,45.555194729155204,48.20819680853602,46.562673733796004,49.13991442578993,50.5975413341565,48.426877785180686,45.24756565341895,45.57728303317849,46.15900194717017,41.82545098129482,40.20964076101195,41.470255884484146,39.320658249104696,36.250356923378924,39.94059503950323,39.53293007133913,34.73583757539227,35.85930813960731,39.551250733326974,39.118750260817365,42.78405811891758,43.015642015975665,46.39561566426241,43.61171983579391,38.92918539557428,43.22912381816467,43.65955335200499,40.08577989771757,39.958428107633054,45.274217866705264,42.62923301321697,38.07522476719122,41.62817914959981,45.10762920394363,41.8190092419494,38.33366804618149,33.604767919666635,36.04229604479921,31.50826218912492,31.78405708864373,27.247768809244683,28.768522421389477,25.090309299802374,23.381112945871998,26.21864441744422,28.919658628238853,30.550812409002546,33.066957713672814,31.262221970431675,35.44918830650569,32.84308794859794,30.95926271990393,34.274043007356255,35.432534350028064,34.80022390772081,30.61198839737784,29.969477805323596,29.717764009981302,27.19110311764516,24.32046880239387,25.890188024410424,25.201967935345245,24.341312064629754,26.419995624541123,28.126917279505044],[19.77108745657263,19.917548437641642,22.23618049324577,18.195690625927934,23.930736358391634,21.676287760537363,23.556982446085435,26.858611084771,24.397897591228897,25.75852941743173,27.31693281037389,30.18822958956989,31.1010665256972,27.988703371208597,32.646695737443416,34.9953778583997,33.84715939169377,37.59323436979957,39.142492290014836,42.57504158515195,45.12073717124914,49.10088690637283,49.33532580168071,48.260334232087835,46.323491241889684,42.057125008289134,40.88492512086193,37.240219103198534,38.29089242972617,38.26159398303485,40.01770389998188,40.35608966681429,43.21841580316665,46.778776297286974,45.28607596332134,43.53391524098313,43.2892845880481,43.70859423593662,43.51465125341937,49.41493779455408,46.00287675488451,46.659340666575225,51.12504065914895,51.37523229988438,52.99395285378498,53.02784603661154,57.14300275643806,55.72269847607645,52.61760420897107,57.638383052408706,59.126691401193646,59.69745673851234,60.09672955450942,55.04496891684395,58.50339506238965,61.24666575192423,57.35401455814118,55.947305586627145,60.62045567896204,60.81395078727727,56.22210028353213,56.84538683301855,54.429306077564895,55.45998282917094,53.75403188627409,50.35652805719556,46.51882801441893,43.59630051944915,40.11768656554108,37.592802850616685,36.26665652928072,37.48187897839337,40.143280530266466,43.92347702953142,44.07785123359998,50.370407797341386,50.06606723692638,52.811795137679766,52.43452375218645,54.09774373382089,52.39879463010803,52.27952537302762,50.78714888976265,51.01561221297353,47.97412034756543,46.57345976621297,47.885871962787284,48.57812654686689,47.60713731906531,50.10957713065168,47.127314684088255,49.11714681555275,45.56474647707375,43.65174353325348,39.08586761188107,38.40646054103429,34.24857765163671,38.0317875519252,35.892241925468994,37.557236609271804,40.16727697342851,39.99880577976625,42.14554081391901,40.769635997281476,44.40944825254403,39.74280133864847,42.13556091297448,41.31600606246386,37.09992258860295,36.83890530255628,32.265989573160866,32.65257639831621,28.85431627809621,29.47445417879599,29.059414765848146,29.03810438312709,32.02610610202501,32.12377757312096,35.67353121511064,34.23565466288334,30.857399658900544,28.33272111492419,26.23780851275252,25.14066440826285,23.80733813005037,26.983895977602398,26.71499600405355,30.386629689463998,33.27953262856046,38.14122213993876,36.876335128883845,41.27044152407984,42.28641961383936,43.443968699631775,39.375331098096694,35.72676094096748,33.54446150998397,31.516195483755926,29.613675619989827,32.731100732624554,33.262743728241816,37.87247763246473,37.12996907444545,35.51272096142216,39.1098234363944,37.498343458516004,34.58165665613008,33.95954283275742,33.8932531759159,30.778272837858133,32.472226222646526,30.80390594764442,35.000495563203145,33.212010101463974,34.34853061027846,36.04440686519255,34.530618266259715,35.967131966390426,36.66758813517485,37.13368232707316,37.02343942877577,39.44567386439633,37.4700948149992,42.05927502210647,42.40681829517122,39.35529727816124,42.135404454597385,43.35795772267048,40.58135450450797,37.28556572420836,38.013047530824885,36.45262509302097,40.455727103455764,41.64928215284466,42.64333332397241,43.67158657436595,41.85943964720725,47.17308633723728,46.814130337787596,47.704067964055966,45.89637445004789,42.62200758151822,46.70497404975832,48.8370757958582,46.09405618285063,48.851430562436185,47.74520517777879,51.990266384177666,49.26132822695483,51.20257363362002,50.88623966134283,48.52788744472215,47.447018202791035,45.09661913971647,45.036438771587605,44.48177038016237,39.82714925467297,40.7452111912042,37.60977311175941,36.81395350185853,39.08228943643293,38.144329583407924,34.36139272538611,34.12611105001576,36.795128722654226,33.15823567522087,28.702401753581114,32.66200456232453,35.179452718197304,28.93827618989883,28.80241245085167,31.8319992764741,29.66660161089803,25.552700486866204,28.609104119352526,28.13439410711724,33.41479595847292,32.46558257656193,34.082032817686006,37.29514951968466,41.90994726784393,44.684260936164435,47.13457238223386,48.428037831614155,47.98779610451425,50.780405632171515,48.67092824858433,52.32255182899275,50.61568004585377,44.84581590635086,47.72067489998143,50.35934906285864,45.93532660194331,44.22914508274961,47.63044806796195,46.693072573050955,42.30888991171851,42.3219896681549,39.477364810847696,42.951718368307475,45.90401863604975,44.848626910081514,47.43410729996195,49.476315453345514,47.00759376565895,43.62572948997199,44.62035903292503,45.47699360063749,40.852821527232294,39.461000301228296,41.36186090982533,39.38953908350171,36.15405167972327,40.17001666257955,40.24362723377776,35.54009399667254,36.51549391132629,40.313432401162835,39.39597818160653,42.75629567318473,42.46412755484366,45.73663326987289,43.3520073169261,38.255385687808484,42.103362842122806,42.72113692750288,39.199216051175675,38.36977985038835,43.75448696330602,41.31619698317604,36.39673566793488,39.44813326310808,43.15470249661151,40.03119158036083,36.31424721646458,31.608053951677878,34.02595531482539,29.55306752372555,30.69134633414942,25.874729542669755,27.486216640799356,24.053320405902305,21.7459515659394,24.02279749727321,26.36779324520028,27.658553726362673,30.686233423320477,28.620971445208173,32.65816633839199,29.83478970714259,29.190301123859243,32.620174471938746,34.383723857575845,33.71867918398853,29.148411452785304,29.42162718458684,29.52367104085174,26.016306112098192,23.7057432341865,26.223301116227056,25.815637292319273,24.860752551133594,27.068431904815675,28.714148827609574],[20.081932994291805,20.822918133330468,24.034016253905897,20.877906476288942,26.98987646545925,25.23157960049631,27.764507714666927,31.075760782171994,29.126533530221412,30.938950780272215,32.63661556059429,35.233455841672814,36.33861621415832,33.51004577138445,38.19735070923265,40.438900452675746,39.335508163363436,43.211851165364095,44.79917441616537,48.12701617567172,50.72338590255319,54.611267723210034,54.870182397284864,53.674288961395405,51.69706496384636,47.510465116650515,46.23395415094649,42.61719283429034,43.72500854808179,43.57641886305621,45.59477977431344,45.63236011113428,48.52398774112693,52.23329515629855,50.67339348514496,49.00392292902293,48.51026181166341,49.00006842119327,48.65948379940064,54.39119848963836,51.0378574834195,51.98986238989358,56.42653391368777,56.50285701950389,58.07542660967237,57.88846280237493,62.057977119758604,60.774307819279215,57.45651494465512,62.33798103750961,64.00107133903668,64.46961857313217,65.04361530420243,59.9920670168993,63.58135172676223,66.41045365772852,62.57617213278859,61.26930727578365,65.9851561028457,66.16143293984967,61.686066958977484,62.4490977626364,60.06589608662653,61.17077891433268,59.37044639021732,55.943634017531465,52.23606043902372,49.310735243188006,45.899848365121095,43.39135577651201,42.098513847346304,43.33670643297268,45.985622938587234,49.76054905611599,49.84775756746387,56.14673449192684,55.74878301328277,58.45229611827421,57.97810114202952,59.555731724200676,57.67344108240626,57.39173667112259,55.69338290630544,55.75871686380123,52.77681841280518,51.59315044048863,53.15991574927097,53.81481800108994,53.09983784790105,55.61228941236973,52.75390649845054,54.81743373323012,51.21902564048661,49.185313807727745,44.601739262283914,43.917518946042726,39.758233246663934,43.29234086636981,40.94816381556931,42.15984430307933,45.05618993419976,44.399126783821245,46.846037199410326,44.99496267346392,48.48499753159255,43.58553720432186,45.50760840304114,44.5154345050135,40.13018959274912,40.22808668851886,35.696997540383634,36.685688632747755,33.21508987620462,34.074102681150855,34.176410228566915,34.15899615681356,37.37074608433968,37.37638119562693,41.20931923873008,39.8525642913088,36.49002656900521,33.904047167406716,31.591753852781242,30.30218032855464,28.690824573718626,31.365198436743565,30.534575988598146,34.176113740202425,36.72320917951692,41.7204095166993,39.93026700456525,44.18467820861593,45.49011285185196,46.97133308666636,42.95478581410535,39.61249465202199,36.880716914061374,35.48407125648194,33.93475143802356,37.32021250234326,37.95385421313657,42.7008481452687,42.234203231161096,40.50231309557699,44.13896202593079,42.63195745777862,39.61384490401044,38.926268272738405,38.54288553548182,35.41043138608911,36.62261420483362,35.06100825331175,38.89936842565037,36.91773260642993,38.58652080298041,40.42583569409495,39.20390708211521,40.343292352765914,41.45419869506893,41.48451146040863,41.5112076986828,44.32787065387974,42.18738419877788,46.814319357770444,46.81092895913703,43.55833808296616,46.00744120704271,47.006646047995794,43.935557650013635,40.96234951821309,41.70206622201127,40.55838837330219,44.70215842964358,46.02490220351123,47.21727542137374,48.18258853576866,46.6819703162402,51.846561290090186,51.49784541845043,52.13742467540356,50.245811998015064,46.703478010308196,50.56472287732757,52.627690156815824,50.05105742665852,53.19421770591062,52.41043952417653,56.49694766733619,53.69875145260211,55.37342040551455,54.77021676225011,52.43149131788262,50.95418786152298,48.39971229629218,48.05573818553773,47.075247050172266,42.41305662877149,43.09209632445137,39.61444750205192,39.18633697896455,40.80976678298055,40.15842607873074,36.60568211748895,35.62704389337486,38.053408860193656,34.748589670642836,29.994094031878813,33.36368375222958,36.0342164288533,29.91978561428056,29.127069680028683,31.85227232198212,30.177336019365114,25.66002113625931,27.91363528794646,27.57635182007253,32.52854077537381,31.49448471114039,33.72527481877937,36.711869640147114,41.3216836547374,43.629837831335024,46.418469959593374,48.26678586259853,48.237338516186306,51.34548393712107,49.76343272930426,53.32283263879636,51.15903480605617,45.75966257912661,49.007205848826246,51.30072019654972,46.693200440535065,45.472890778653706,49.11642700108116,47.58342552734841,43.17858799124531,44.054889165780544,40.9734017818586,45.079166043257274,47.75372543953041,46.49067926232561,49.42628714597114,51.19360099159098,49.257441774714174,45.84055861590345,46.194068694923665,47.320167846334016,42.997447846595556,41.02454896700187,42.74230045537693,40.93240564694296,37.448067975002374,40.95049312864752,41.022414955491534,36.3820869273918,36.813447156535695,40.383367021320545,39.50680033030223,43.13179187419788,43.342923346349274,46.33159468763438,43.40561894541558,38.71540387103446,42.797958168742774,42.814304217264144,39.18733030299609,38.95967472231149,43.964117807822554,40.94239577311008,36.4269757801235,39.94173654261967,43.071491066273374,39.48543328044133,36.029347134459364,31.45196249865922,33.188737739403905,28.595364079806558,29.446686091268393,25.22896605796561,27.54536315019528,24.57543018905391,21.827754516344097,24.578754321303133,26.663129554831368,28.66868171331758,31.792693599249294,30.691556461326044,35.00715610156302,32.81962443258346,31.532261862228765,35.284810871928315,36.66814456498472,36.60685978918016,31.990932339428653,31.47136274464929,31.982875833597724,29.22356800719755,25.83673752714879,27.964773915248887,28.08067965952837,27.5351976517345,29.840235383537316,31.64523894515888],[20.26331140953998,21.43458862755743,25.18131428489214,22.664205492876956,28.879214043090393,27.24553241012482,30.14122483284999,33.33875558777382,31.686621285114143,33.837656317296506,35.5692369949537,37.923634694606015,39.252497872149014,36.65102639524001,41.30942458603227,43.478613874437556,42.50785113168203,46.49390161596246,48.227339753840226,51.448072782544266,54.14240069884564,57.97891336716965,58.323669376982444,57.127762599378464,55.06242850661541,50.908436573648636,49.50316590852118,45.8545252796639,46.891934397527656,46.576207775514284,48.72997836812618,48.51224876274747,51.379077652454384,55.22307001387514,53.6556943585488,52.114273961289115,51.42452955247678,52.0836598301072,51.710345898566,57.34143982982069,54.12824481586531,55.225242957685374,59.6283853603419,59.635922710791974,61.253100351530925,60.97180751186675,65.16005405743246,63.88248474491074,60.44692139596505,65.25299887376876,66.94912385895458,67.31006120201559,67.95743949770359,62.89372729736669,66.50611432711939,69.44177916600803,65.69013186836075,64.37746232060208,69.11144892821275,69.36308121893707,64.96352530745435,65.76222939915148,63.35044728044954,64.58782406389119,62.758094913141164,59.26169381041803,55.677566470692646,52.6789253641844,49.37829376775354,46.802884762991226,45.60234572756772,46.882644082253705,49.438729483747274,53.25563701500101,53.201907760171906,59.489657019029934,59.04114787555567,61.6511164617852,61.13074525643866,62.69231244560988,60.64824221897458,60.319148608157235,58.424323679918096,58.44804700970599,55.56861227714989,54.46134858520241,56.21093450193316,56.744662000705134,56.2490605404565,58.679298667176276,55.93236342731068,58.038709581186005,54.38294530949249,52.22274145172241,47.63875522435493,46.93283795914398,42.78718476145107,46.10473733595838,43.61418889088072,44.47108361061265,47.61572368006751,46.63995699404508,49.343266542743656,47.207414110041405,50.669876775258146,45.660166245914034,47.280245999916865,46.270739273060286,41.803113506125555,42.03450709518975,37.576786716151396,38.9679412134819,35.67748815656742,36.782089151785556,37.16852235365753,37.2702728094785,40.60906652717974,40.69201112564556,44.66954819308233,43.23310092144723,39.91851993805195,37.23601331420328,34.9143853801489,33.442168405857196,31.594112250473362,34.04599820800061,32.76126814931353,36.423031532032745,38.74403509877799,43.776644772181484,41.788192291156115,45.89489092135827,47.44447449454893,49.01484169011653,45.15248401105532,41.98809693643284,39.05449819992581,38.048677243909204,36.75980318191436,40.24098696224098,41.07779952259438,45.88715213461209,45.47613543762974,43.621726567762565,47.22253362642208,45.68070550512631,42.61510432766123,41.78295033722861,41.164037746931584,37.96387533647337,38.82011754023097,37.25246486416324,40.800959890381954,38.64774059968901,40.65794667433268,42.62534082031833,41.650698044248045,42.62901828210259,44.0455777195726,43.86437118652147,44.10416109937613,47.15391678837111,45.05415309309665,49.66891256805659,49.566213988927714,46.31220450018584,48.52158493893362,49.4895468387556,46.24344353450451,43.45847939944871,44.1119756036939,43.16545548485356,47.2900922192778,48.601436330921786,49.84287449339987,50.683316361533535,49.35181473433402,54.386176276471424,54.139980961045374,54.60817301186448,52.78218423720744,49.01609028328149,52.8064847978995,54.88229850032331,52.445963731128586,55.82745497973789,55.23981936336438,59.28485711468328,56.55470666964472,58.030027452843164,57.28306827785798,54.898505878601114,53.208030422580336,50.51522498326568,49.97597257903338,48.75143665840827,44.10877104229732,44.5537678234723,40.86622422933067,40.55275828749096,41.743202255157186,41.17061221353167,37.82018271116443,36.468914741499944,38.62936045710351,35.49898161691876,30.747550864087813,33.66748876472474,36.25928699011213,30.311976657208167,29.17794919395242,31.598073547659617,30.17197367421774,25.555631038777907,27.282436009795095,27.15173478851671,31.734204371153222,30.904083838306732,33.41783496388567,36.15283057617382,40.77333698747243,42.725379562686456,45.75224097524626,47.87738027023741,48.14435599823471,51.42480040970054,50.16758643427544,53.71451311623723,51.31631619409139,46.17655311129852,49.641346022111705,51.79470871456701,47.13123508564936,46.20571560483901,50.008258784082074,48.2124683389022,43.823906692256934,45.2137865606931,41.90479650809281,46.28389887324902,48.741025969386406,47.263473392323604,50.35463668455233,51.865318679535605,50.26731115680636,46.889442798171466,46.79482185655558,48.007975174514065,43.92124801175802,41.627016001920076,43.1331196112333,41.40043821108608,37.843849782428634,40.98964667494785,40.99049778291664,36.4230633649021,36.576801041992724,39.97004094965413,39.20028117620426,42.97968624888122,43.53893385099141,46.378089639221805,43.12637362025356,38.763835047696205,43.01175793339615,42.691607583458456,39.03623755166174,39.253220298138515,44.01229085122629,40.68995673681731,36.500089419732866,40.313761878405835,43.090069610941256,39.280899839865036,36.042478216884454,31.58328680014974,32.98734134613584,28.398756510024462,28.87340275293166,25.100050913655206,27.683572723904366,24.959974562358084,22.20521367267634,25.227425905949136,27.232122049252354,29.603391103905057,32.596738052672926,32.01730901212055,36.44248710257742,34.62296690924582,32.80682559941438,36.65580177794747,37.733757778221914,37.99388347810142,33.459386109513986,32.40564684519928,33.07925868836307,30.873274825054622,26.92280975180497,28.683266121099358,29.050713925983928,28.75095017138015,31.063569673792976,32.93991814436381],[17.06538324813955,18.40536850214107,22.35962774611415,19.97779148304933,26.232060088108497,24.181040307266787,27.22108550631838,30.202535164636043,28.652001084231816,31.113651323631245,32.81616906433135,34.923652042280274,36.51727792484171,34.16689111027553,38.744923343617415,40.83481774889829,40.11444269765792,44.23058049863819,46.298612360073534,49.35036169424553,52.244327955910244,56.0551853535043,56.609170703850204,55.58623260492355,53.32249757905937,49.14990611080039,47.52709846856138,43.753166735742894,44.54211751555295,43.9597184212541,46.178018023550926,45.68308440690592,48.49298333809762,52.473642132854614,50.93473389275818,49.590133503607326,48.71897004271196,49.69777300379489,49.42987503139825,55.04299748092285,52.110045647475,53.18375875568299,57.53818647867687,57.60631599452254,59.41961733773974,59.214190251698724,63.382285467866055,61.90543184480927,58.46172294165958,63.291577608845316,64.81186874097796,65.04408371609186,65.62556062801453,60.52160615823251,64.01412897160263,67.10505298870721,63.48172276491202,62.01977505855882,66.74763394557664,67.21332405717529,62.85628159011227,63.57032388266873,61.05449061945313,62.5470584509567,60.7497766965503,57.107421911065245,53.70623695195639,50.52564238262695,47.456263785014215,44.70872332512282,43.72519655884559,45.14629803057138,47.438656104592276,51.33650517146109,50.97921872305749,57.23302584376458,56.72671669171456,59.165873022914795,58.62537075309321,60.23849517057885,58.0272716680665,57.78477613641319,55.68207901798376,55.82115113911027,53.10305983136224,51.89103777443098,53.76854102703198,54.06113683121617,53.78806617047479,56.032633734238836,53.423846982384056,55.586723194299104,51.86024195715588,49.54173624831574,44.96124354413477,44.269260865151175,40.13253664421245,43.19069402140205,40.57658215818327,41.18324639505662,44.51070415630614,43.3858061733386,46.29661051187513,44.088420592190445,47.703420194283154,42.70932442465141,44.294716095113905,43.480148062432114,38.991901582700876,39.03094852637892,34.613002629484335,36.176063342381795,32.8568905364493,34.27493763217781,34.73856531881702,35.14731823307428,38.54934902370396,38.96851768935108,42.98684802670615,41.229064861950135,38.033918085091855,35.162833476463064,33.07149670647918,31.331398544412878,29.186545864771908,31.728985382983787,30.0175836857687,33.84092481087499,36.12982263886196,41.131138552867,39.40467239519181,43.42192739221685,45.16092740629058,46.476486643631915,42.88463011640894,39.68030073182229,37.00610904621585,36.06775784268014,34.95390755078266,38.343498749140394,39.61063147200913,44.41761133324987,43.757332877443666,41.717261897189054,45.17728047782325,43.39716872136735,40.33261437517315,39.21485500095816,38.41388170482962,35.05400627590646,35.68201373817124,33.97901547081513,37.37451520629067,35.10924033931095,37.249722950469106,39.29986714232304,38.50260451750807,39.46132127225956,41.08434646441472,40.940767789455776,41.51617826268372,44.638215644215364,42.85760410174919,47.40821953695158,47.55770665750012,44.58340910861254,46.67493696842213,47.92629244858829,44.64302954688852,41.81764424721356,42.2239277849985,41.156126138779086,45.055750373768696,46.15840151553995,47.25248295531104,47.880316477121276,46.545017995139304,51.485657905912745,51.46141674051193,51.85764252451979,50.300793347032965,46.334603432942515,50.30196265825302,52.53239465515209,50.18369800744472,53.62253344429114,53.066089709589804,57.25540128735012,54.805653592899056,56.165836238562704,55.48795040567454,52.93092758606252,51.29069949040943,48.534383261959995,47.934340468368255,46.75281781477934,42.094703584109936,42.335948153060116,38.59640366443393,37.97038344579413,39.1540439206329,38.301990623311156,34.99660647776221,33.87822256515278,35.85925503162636,32.51505262159206,28.059990709371203,30.99920197048832,33.2525878498957,27.246448464349196,26.3384378028293,28.6940998451166,26.95957703411883,22.5054059117731,24.539011062927447,24.62570664730634,29.195791052904184,28.95651412276646,31.124311843548085,33.77802693032369,38.57171060973725,40.59706422237508,43.62748458910912,45.46063830683598,45.714609095467814,48.92031494285748,47.523850971129605,51.25182736290005,49.031496467604995,43.78653951333494,47.215348143662005,49.65149435704717,45.0827969473166,44.03090910072183,47.894230194550296,46.43194106195977,42.026397167283726,43.26055938851651,39.698610277755,43.80781763268458,46.22770845399497,44.54280039881694,47.49875201382724,48.86832113706564,47.20342582833307,43.91472683691176,43.7757493564392,44.79877642886939,40.71277192413275,38.518245270122364,39.8745361488485,38.03318984381864,34.590795409265006,37.83253789991863,37.69467943399357,33.06001287414404,33.45766811181573,36.93862427108886,36.30634466495557,40.09297982570085,40.629490737866696,43.65291352227664,40.49002256235143,36.07692421542996,40.43312405584269,40.339083682391184,36.699522577206864,36.94408711115453,41.899747672982436,38.80855098004832,34.55110323214881,38.40050501120807,41.40957139308912,37.79841913755034,34.51162833317852,29.924601147633865,31.84845934281723,27.28321337149883,27.397017611265138,23.322128042622357,25.433092697384154,22.31329013986995,20.089407749406874,23.208524665216576,25.62174733061335,27.80354118564484,30.432058659056022,29.557174241773158,33.9655560104683,32.047484506071065,29.831217627724225,33.55147340005157,34.505611313111054,34.650717109999995,30.24700385865156,29.063212147974575,29.56747448562016,27.5280440219488,23.575545176170888,25.16870499648294,25.417415567994077,25.1192882134961,27.43329375241032,29.35587670041861],[19.63187296429627,21.618091073778462,26.015055243662303,23.910216913780253,30.06740786311374,27.077897229489015,30.08494001141614,32.44549446805581,30.55557925250119,33.334294485930215,34.498562564771184,36.2435976157359,38.629308238636085,36.26797235288918,40.426137509918334,42.70781820895614,42.568585858454945,46.60524590560949,49.01776231199884,52.12506607961299,55.09720509940188,59.067110946246984,59.70260951584903,58.965117334710655,56.69508447591784,52.396498107799324,50.77863221077096,46.848463521534725,47.193487146498036,46.28382026291169,47.89336273583797,47.403601309404216,49.77452955934382,53.8969504201575,52.7817405288867,51.80083075778759,51.00415589898125,52.52524272048399,52.605308632431026,58.36833561229809,55.69034085715574,56.38879449601322,60.727027011173284,61.07209747304997,63.08330036006043,63.13512459819658,67.23004802726805,65.48579961438729,62.23734796099685,67.18044285559442,68.39616517065859,68.56615366856501,68.9165291707096,63.76207629616494,66.93573031787173,70.15986342356551,66.63462288918922,64.83190061442609,69.47802481839123,70.25604676517077,65.76573341320346,66.07661391047509,63.30270928338921,64.94060965620827,63.44893193610451,59.7174009040318,56.17688060177596,52.77410875286778,49.749897319478755,46.63581590947903,45.78190866226856,46.90696848113906,49.082096560801055,53.269959825191414,52.77920458802155,58.860601722429294,58.769466483765235,60.89964853781411,60.68695232112148,62.64002385759697,60.42900357897293,60.59956919993694,58.32651666958437,58.84849906624391,56.35303151493607,54.75763168617253,56.52438761896082,56.378192049825365,56.093263486617865,57.773403613735724,55.11185870871376,56.92309033388704,53.06836964173784,50.6105392609636,46.21286848679388,45.09009243495939,41.17709398681446,44.27238347694664,41.73202902696957,41.97302793689631,45.95986262567949,45.01652798405214,48.36273188870888,46.39210560576633,50.49344712522156,45.65002169503648,47.27453741624017,46.888303718315015,42.41354845197648,42.00700426821661,37.70173451171764,39.39247824932615,35.83296537777725,37.650373013338104,37.74297093638446,38.56453936705018,41.74884625018801,42.557440410882386,46.14433956780753,43.98796856840121,40.886707207618116,37.965116777165726,36.47143053921672,34.72580164451482,32.48214121261031,35.517274731689085,33.445356103045135,37.52874089183744,39.85261969354002,44.741363528927295,43.50489366576222,47.380105664004894,49.34253064551098,50.24228545184166,47.022499124027085,43.688004645404526,41.46823120824508,40.40123808017707,39.26396102092629,42.41556035343326,43.86775344949454,48.55215128858726,47.50839854477455,45.46057939069409,48.7503979589915,46.5922543744155,43.64463161103317,42.15286572399024,41.307005812515655,37.58657600736672,37.9919679487937,35.637285284690535,38.68360281508176,35.62947825034868,37.88888355062789,40.497739422583145,40.151154245458,41.46877036552344,43.300612249056385,43.68067509671563,44.82677033298461,47.74860332726675,46.54489992342183,50.98451147920575,51.63261931509107,48.998995205382236,51.14136440251359,52.679069139193146,49.46183919805503,46.51876335019111,46.72738835021845,45.39365989614333,48.98300439836686,49.748083804688406,50.489068975591714,50.76327961491791,49.14087618958802,54.00095706755782,54.451632927415986,54.89165228476779,53.84048517991332,49.695396877912884,54.01697664835098,56.4772407937877,54.190122935517714,57.517408273070714,56.80097894416477,61.23514297084728,59.06744018003685,60.47747771439434,59.97221868198073,57.266796648365734,55.797707567787505,53.02863920873237,52.40678978229957,51.302232058793074,46.65595751703455,46.647167920193255,42.841827506710324,41.796886097986096,42.84150941901654,41.53548322177415,38.417727081662015,37.59187431791133,39.0976609771482,35.48356563020392,31.676651312243507,34.31467123388791,35.77661759105088,29.913006609639453,29.224758460980787,31.03613757191025,28.83858778158841,24.868065908035597,26.85014722361007,27.645246025350747,31.565466123933195,32.54851582925928,34.493971736381816,36.68269874581656,41.6975176174567,43.304614883644845,46.657010960416876,48.337687391580225,48.87927980843909,52.09388874852765,50.73416649964557,54.723273688288415,52.6116444772388,47.45263729185264,50.93160669205297,53.656635976968666,49.208538081608594,48.17040566642537,52.14738620833344,50.951957585768454,46.56600409970942,47.81935249715483,43.921080602598664,47.71059925828752,49.98513348225527,47.87771527880232,50.62745619418381,51.553292785020915,49.91990425916618,46.87554005575713,46.41313608024884,47.0013183985665,43.097326649074304,41.010185140108426,41.76495665973908,39.66730327432546,36.593731383211676,39.68399925109358,39.00461749229062,34.309406386740996,35.137974372767594,38.540595389550184,38.4408424409784,42.37959868266053,43.22700682802005,46.45075617896063,43.15248606854409,39.05325636379556,43.68683694933415,43.66203736502621,40.067286863483105,40.71887865552374,45.697566217092344,42.668556015143395,38.6552295086836,42.70152362487135,45.69075687291625,42.13249303556911,39.001585097739785,34.43425374311104,36.533020147041746,32.04599478197824,31.55558190863723,27.657380443477983,29.37567447498422,25.937570611869628,24.48940813154362,27.765657012264622,30.48017887872492,32.59845335214206,34.762180717330885,33.66573842327281,38.003211157421866,35.94049663883304,33.039690254338815,36.41123592797899,36.971468324784084,36.793081974250605,32.86777955571838,31.243984637772634,31.112027429084606,29.678450154013202,25.92222708587977,26.67127625485756,26.270046284200106,25.823867092968392,27.835244100827875,29.622608313090154],[19.62518005820738,21.778623760550925,26.12895420776438,24.03674306846407,29.917236173264964,26.081727495890263,28.906101809031664,30.714016450290302,28.565302267695458,31.5645799665319,32.321992368160934,33.732996250940445,36.68435899381894,34.436118881928735,38.22061325511981,40.56870763241721,40.91379552613155,44.89982763753493,47.67251214723741,50.70685516735491,53.79961383066192,57.83517893188971,58.62531739250108,58.17997266952206,55.82292420989685,51.46268671199849,49.765329022924405,45.709719512950386,45.637860096357926,44.42332877885939,45.62779390188106,45.06198929428787,47.11281974335825,51.329587080886064,50.50518764605819,49.8347390774151,49.05232736782069,51.03667571150611,51.41337875528347,57.2504878624297,54.87605495982003,55.266705372167806,59.54167500210584,60.118595807941574,62.353340085106275,62.648901358335465,66.6573734157539,64.62433797050025,61.55218483968419,66.58930549372899,67.48409778650468,67.57319093738482,67.70146540443773,62.52535000881437,65.40289808986346,68.74439167143696,65.34754400578035,63.25671378295738,67.81504948471682,68.88595589307013,64.33858384621198,64.33625715093177,61.36413130018167,63.2031439686004,61.93535695779034,58.10139722548027,54.58344361025589,50.97602244844244,48.12773821803935,44.729298500563594,44.08618255363882,45.11180512420191,47.033721741282484,51.39862910393482,50.66815152088502,56.584680397889244,56.72063793126492,58.57290186706998,58.56388607216855,60.7512062506488,58.510714759535865,59.011509012242485,56.60038476886751,57.448685671753694,55.16652860119451,53.244275210376216,54.93605971797103,54.41410686151468,54.17982236666497,55.41301688602368,52.78501101413532,54.395819439553264,50.461812137947184,47.87597988888418,43.62770240364888,42.26655012972359,38.53061971002539,41.52625068430117,39.035327578573565,39.03426544895754,43.416661048550836,42.653573391690145,46.2606414511369,44.550764393484194,49.0339486717625,44.395410567018274,46.16315709730435,46.17947607477116,41.791824831958756,40.9197341650591,36.733232943072714,38.389769149019926,34.63135814294529,36.766270701352596,36.55454683888991,37.77696626299989,40.76885742877443,42.00131393529812,45.25399947075069,42.6917647170481,39.75764793543394,36.75837408312248,35.822540318436005,33.99599695117836,31.6358475555813,35.06513856727268,32.737632219284876,37.00211136092996,39.399501549501146,44.11821557817272,43.45945091482757,47.22470337795716,49.298190943165345,49.73329443698948,46.86635618106554,43.383025278754346,41.725529614334555,40.464283346282215,39.33296280234801,42.193791885737625,43.938263816437235,48.466731758739044,47.01598612962165,44.912589957881316,47.98137557850208,45.471314724097,42.652560515018266,40.819321972340504,39.94075898415805,35.96920058121782,36.24349763646758,33.407763846320755,36.23357495292736,32.70884569924043,34.926350097575565,37.86796364198145,37.816591679469106,39.41767763144122,41.35348561289003,42.18733408816493,43.79712523247202,46.50390486639058,45.86188807786069,50.14977712554589,51.30440010580239,49.08192028462886,51.26400138967579,53.15440910431818,50.06023333447114,46.96737073563524,46.93750289996314,45.29384270153858,48.518880728227046,48.93971561867848,49.33777227079248,49.309974098572994,47.44034657027343,52.21040716063934,53.04960838330429,53.547647709363766,52.95892824854265,48.71814574591077,53.36791221767035,56.04096578567048,53.79716684278875,56.9578867967643,56.08030103773223,60.74579794304836,58.90859126760405,60.35655056403883,60.06918563462273,57.19740943040984,55.977392068921844,53.24962030007987,52.6768420465696,51.77462239006189,47.16022883228875,46.99553052044077,43.268100241431505,41.73402808470796,42.91153308497955,41.131303024352945,38.085870147943346,37.7951680409226,39.03596108790486,35.07967782231737,31.915237617617557,34.58881597633175,35.39374949649859,29.588691229444915,29.391367339062366,30.987666494815436,28.205619414511165,24.806302243989123,27.218608469666737,28.398955631271303,32.084204461575375,33.94801505840715,35.375336486019826,37.371905445920554,42.54388111226243,44.17430493202882,47.52231545278259,48.75398268906442,49.272076115078896,52.31923914884369,50.714499364985706,54.94699036945905,53.15906089705391,47.8750611245823,51.209474650422344,54.33494983429401,50.07665397510095,48.81577730955215,52.77680585477456,52.08913736549034,47.730339629235374,48.61965559244516,44.52912608744244,47.78178513967499,50.04520253061724,47.695515577891335,50.125337582343555,50.83592268981811,48.996343865177515,46.16242825344717,45.738310591053015,45.88427165422864,41.99142135922696,40.24637191512634,40.65500466730211,38.30342224056091,35.61807009708251,38.858553063697,37.81101086322948,33.05044652039349,34.470858980670265,37.94806035186283,38.18570994246429,42.075082827802966,42.87106735123582,46.385984832961775,43.293818784105625,39.196669771215184,43.90739730320814,44.25812125844765,40.75424975998675,41.39132092124668,46.58925766362004,43.933998742855906,39.87523447792982,43.84506455091771,47.12823881599287,43.869329599915744,40.70529352553527,36.06732367382613,38.70266273670493,34.3145656049996,33.524280123486925,29.38288369696823,30.44325573911906,26.546418242109763,25.882456683598793,29.07646217453317,32.16667878955407,33.92713863772785,35.64444012490073,33.99532391901809,38.14952108965865,35.78674912032811,32.53841227685283,35.49845153440966,35.894158047207604,35.24874377728634,31.740341694680616,30.084173926937993,29.327439333841433,28.121667603717587,24.903696169655223,25.17549241948624,24.0914953484731,23.40260241732769,25.16721413165854,26.82946588534946],[22.419711297888703,24.87027572601665,29.549946092556176,27.876432216537147,33.83544351680469,30.27991234538627,33.3092636051851,35.10714221982193,33.14151484288507,36.228314312121825,36.99108607049225,38.30482440830127,41.33643181141397,39.13337963982046,42.88780717720149,45.2312260285968,45.60080781619597,49.58696782778524,52.32737324766519,55.38007511925066,58.45266056934584,62.49068843073397,63.24753901192358,62.75020037333626,60.42679225833523,56.07360719633357,54.39838800122367,50.35760571116111,50.31357345892566,49.0754941683077,50.276216403090785,49.657568750919786,51.64799928479057,55.90258829905512,55.12080913047446,54.49905874852984,53.66718506068118,55.68387104869918,56.02245613121629,61.81507943301617,59.44325644938819,59.90667896756602,64.17763703266375,64.73044416696519,66.96232182293222,67.20126273335372,71.22866403705459,69.224640689,66.08437624300846,71.09284927227372,72.02616159497495,72.0891988705746,72.26940503984291,67.09795579809442,69.97265527313172,73.35942679138942,69.9878631978893,67.89991315561177,72.46406552876049,73.54637567437527,69.0093432115617,69.01066795814496,66.03145803318004,67.86703817824997,66.61116944562816,62.78039613106782,59.24265233494298,55.64655518269838,52.765053820044734,49.369787657226325,48.691114150909875,49.63085765420363,51.60987009679147,55.997539340530274,55.30510272083848,61.1844591295508,61.37923366809571,63.19450101875077,63.21009687323429,65.40784056301203,63.12799343742963,63.602593412613764,61.12297163810071,61.93296356933135,59.67944054177525,57.82042490015993,59.57628737900445,59.02123197279299,58.84417472349449,60.02489634256435,57.41430753890341,58.970932343654795,55.02518525111703,52.41741247727456,48.216992372124004,46.78300402766522,43.11140880418124,46.05568053902586,43.54076928671654,43.32776070885582,47.86842029865694,46.94159088304065,50.6898529007229,48.81590103571647,53.24010666855607,48.541143145566274,50.074956847436326,50.039685636604304,45.60043370509333,44.88072680151081,40.75637795180388,42.662877765520555,39.045145323695984,41.23535363300722,41.17237824009987,42.354139331376594,45.39807679514967,46.54870472968797,49.8567728490991,47.357545920561265,44.39967708376076,41.420476137000776,40.38725655255129,38.56443850492929,36.17647802794244,39.4375808525327,36.95605799245161,41.17881571900856,43.421401075976156,48.180861254129276,47.29240713654331,50.97150005864651,53.18135071587582,53.75506964924714,50.92190060730836,47.568544971100124,45.6708609190066,44.64806858463864,43.61010981797893,46.58427119371161,48.28600300391488,52.872740448246375,51.54353243723227,49.43579687304742,52.54822475354275,50.08214794085033,47.234562181952356,45.402607077831206,44.43011446094461,40.46659356603305,40.55087354882214,37.74527055864092,40.33411511463269,36.686609463923105,39.11083444346358,42.14686757569774,42.26223677214313,43.76399090118539,45.85661084597867,46.55201806882634,48.220913390190105,51.05335898803695,50.34202737598803,54.647767890126296,55.665244747332565,53.33699158571074,55.411349690252806,57.18357162326777,53.96960459057253,51.00537026078538,51.011831557635226,49.539801103301826,52.839181310804264,53.31551168453508,53.781881545921316,53.712321385509526,51.950524184044134,56.64170877923227,57.51784732991421,57.91763964964832,57.31940439248975,52.97047311925454,57.52538967044847,60.16895531081033,58.0020754071267,61.30927143382137,60.545551692420894,65.15660469177277,63.25803468670716,64.6294109681491,64.23548522134851,61.35993023886323,59.979187326822924,57.16747535576908,56.46579629318382,55.359966554164295,50.75372988336683,50.472489187133256,46.586672359624146,45.23253119751467,46.04199410572198,44.39844875066456,41.527628327090966,40.8596581171777,41.893511320472584,38.161481060441886,34.946054365114,37.19730748141474,37.96212857044779,32.39268999499526,31.828260439942483,33.08720210969581,30.627604036769387,27.176910634139706,28.942651836420133,30.32454671258948,33.54223829637971,35.568398119715745,37.31843770125216,39.03620356044181,44.16249914686963,45.36415818595304,48.97597271269236,50.53584923049994,51.375554680320114,54.59344807724982,53.34257618013262,57.52371737619879,55.479754829385044,50.4816813012009,54.01976319309362,56.95121865350111,52.6274506409021,51.66481684288027,55.74919082999021,54.745249134620444,50.409784582428486,51.772045699985924,47.564910948600435,51.116885855650104,53.19869434439997,50.69758420691451,53.280377112691454,53.75271474811505,52.254155647919106,49.46140032262186,48.61611022385189,48.85425503581727,45.214860463696766,43.16607077341981,43.355560555488566,41.10006672840926,38.37229250197787,41.19344198676014,40.05095251606783,35.425137124163676,36.53343335172788,39.76341305323451,40.14150994269704,44.17496168080215,45.344611885073284,48.67049931580698,45.2371296738854,41.52168354674022,46.35953972660272,46.33704997566681,42.82223849841203,43.885744178619014,48.79202567431543,45.81165724683383,42.0970253089791,46.3171597941076,49.21232491115072,45.71086958289137,42.773833925989415,38.28805379503044,40.49335497742051,36.134972794852295,35.086051820043274,31.44194824670845,32.8425291303016,29.28841708270256,28.466606074249427,31.833742560379093,34.73375882239184,36.836544183530506,38.56832084959947,37.42161958487832,41.67405282409667,39.62638693783193,36.0953061505475,39.15093785692058,39.312424625983205,38.98799138036658,35.53759000139402,33.4727179245718,32.903425791776854,32.14862317897229,28.501931071969555,28.48804906519712,27.648798852189877,27.178967841600777,28.888351261407927,30.485752327340894],[18.637830504366885,21.553198632160054,26.585287465557602,25.910924555099335,31.55815223404073,28.029949411144518,31.486747258045547,32.92278745059351,31.692312459520284,35.36353209886161,36.31378240246251,37.06230881622474,40.328016843673126,38.82798132111594,42.50995624602556,44.50063998806081,45.118643644521484,49.36793419488768,52.54160595091903,55.156840884540436,58.54897457076007,62.36439984749778,63.47384851725658,63.090975645121894,60.41476601205741,56.18676190756055,54.0800655912408,49.97147515655236,49.69368731410975,48.04455271324306,49.75851122385908,48.41969092596467,50.455524389352746,54.94734191453767,54.0108468573858,53.682450121524255,52.323931378059655,54.73637009740551,55.03083614500516,60.526707444117534,58.64224924823162,59.400535617849336,63.516513875812926,63.935556096648185,66.38318695746918,66.4992450544905,70.50968610106978,68.37216504529952,65.03209671083343,69.87783556587716,70.72050895064935,70.49382225699331,70.76370909772143,65.59950284567051,68.4360339354961,72.0857187012264,68.99481881066475,66.86479725507563,71.4265584320925,72.75451856313308,68.48363359677109,68.60069709411351,65.59087380327,67.87088762191075,66.48887610755995,62.44974399915672,59.43658901177783,55.64744978402383,53.24872331410077,49.76566379135093,49.45100083168438,50.78017795161242,52.301169953821756,56.644480810403806,55.41569916522846,61.241811141645414,61.074623377535055,62.649901377805065,62.41619007751903,64.48121489695534,61.78460494079386,62.138752727759936,59.217928210577725,59.974469050550184,58.02373998886866,56.29593271397015,58.478716990954304,57.62652646231379,58.055212669166856,59.10781765351328,56.90857302959067,58.75900952387233,54.75634457882247,51.86012152190616,47.65530600280521,46.459315749478684,42.79343455083133,44.976759377947786,42.11470002662463,41.20442069559808,45.96382520815334,44.34135770709831,48.47253012071908,46.0802550068002,50.41816260564746,45.67136665147721,46.73088320005687,46.8304704336277,42.394312841153585,41.70745483138261,37.848557004613646,40.364595011469234,37.1386150443222,39.82375203610381,40.32723031730989,41.85434658470466,45.13302096987065,46.62254521929173,50.276735501544415,47.48115026402789,44.75874837892174,41.517406316201765,40.54669196413567,38.2436036639025,35.34676166600079,38.178975016216505,34.8451094930253,39.04617971868536,40.89116464513397,45.522824540152264,44.65837790666202,47.978861007405946,50.60692921256148,51.04145874957413,48.71290558453552,45.63824096409759,43.785923227545126,43.34253009833578,42.84487461947052,45.80797535688643,48.17824280213574,52.79579992822366,51.378223884441724,48.92948328259901,51.81550357567667,49.19038809327429,46.30801896492359,44.10788724328113,42.64594097065704,38.63748033361482,38.02194581070155,35.334251244569714,37.32404974497502,33.66042915689213,36.65232080438988,39.68175622749292,40.21597969501841,41.297783638353124,43.944708439071384,44.21790508638236,46.37180132145405,49.5886724584905,49.15919708838994,53.31512548659578,54.35659597147709,52.324014775145635,53.91740516709305,55.90619748925895,52.495631401271794,49.78286117055543,49.432440152310825,48.138052257092156,51.14177404219975,51.426376293863584,51.863775848335095,51.47423536871021,50.06387389913827,54.396116267541,55.517485115930405,55.579446559077006,55.26643010305464,50.52379935081747,55.028765352638416,57.778060560358234,55.91392134766534,59.56050914197002,59.14262298145759,63.74249474797034,62.23445510696188,63.17396348820451,62.648684916900365,59.5925810632184,58.0032137515193,55.00678226913462,54.02866794300617,52.71415068587052,48.222546510587094,47.47670315690254,43.42591894393869,41.90818089425487,42.21786201664825,40.41540695615635,37.91863473001447,37.12817965965694,37.63579165687834,34.003263050352835,31.30922232092361,32.97975615304772,33.208673393758275,28.04040896968472,27.42849671782964,28.168068197257277,25.711290959340474,22.664927343572234,24.099014646055796,25.956967780952336,28.52516812978081,31.49244295659257,32.955979586794776,34.23504121363456,39.41115861863666,40.38107433599486,44.08690435207146,45.49167428442553,46.570135178936994,49.80051923203033,48.73093507433575,53.01148759331178,50.98918633289112,46.23007721225289,49.855975875878315,52.90521832935919,48.73670491329429,47.93682755333791,52.1496096341399,51.298155460858396,47.06800877256775,48.71780217464719,44.11494619147729,47.55600022977289,49.31776358854122,46.43510611389818,48.98891009736333,49.04745051896178,47.88327586223819,45.27613072035591,43.92265145382717,44.07824864538013,40.78883449212867,38.529024887400276,38.341360901390935,36.13704948762372,33.516103963316034,35.96234964687051,34.63999504353904,30.15966815827476,31.194392579582903,34.246828543316546,34.88425396902237,38.9653136125587,40.42763858807873,43.72576607629542,40.16822601426912,36.83220601277186,41.80669846941196,41.72940483614647,38.32138121339466,39.81192958557166,44.56359385901773,41.68474232475209,38.32396072126969,42.70970699902988,45.47350138985224,42.13391006475387,39.43935340985935,35.10978736009815,37.55758704799055,33.46792487984387,31.688582595213635,28.329218760856175,29.260830642306388,25.739809015831348,25.693417171596487,29.122296458875446,32.22175937528688,34.31195878443531,35.39968329878035,34.51140682347685,38.666357981828,37.01822038666699,32.646173774152096,35.54720969565309,35.21790861673987,35.21788134624318,32.12751760517464,29.379144855429463,28.906571333270588,29.076265365643412,24.93060869535013,24.228933946406922,23.721891320602957,23.666585249248037,25.341168573875454,27.058849001766838],[18.98873339054896,21.66046589735541,26.711044598310764,25.909800520240186,31.881542540008496,29.19445185039592,32.77430038448705,34.82908232243001,33.72294447957162,37.10314525843194,38.43011517454035,39.61368104144553,42.28990092499281,40.56434218617061,44.64740536760705,46.63519985574287,46.73656901516732,51.016877098257716,53.787939253956964,56.53674786251104,59.77772861429924,63.56043503324487,64.47520609402768,63.78505513597279,61.23149650139583,57.04411326591964,55.06106015821949,51.077377593544895,51.247614294771175,49.95698431034173,52.014016180789426,50.854852429790974,53.22149721219947,57.596238123393654,56.3794934752158,55.69022730699211,54.38798164778221,56.280450783827966,56.281781596309884,61.74646170763331,59.48980584875133,60.52523295838505,64.7337577079802,64.91970012787223,67.10145853708666,66.97309052926724,71.07951203511716,69.26782355739053,65.76602102671059,70.53034746507798,71.73304934848834,71.61995480493675,72.11037253594944,66.9605255823681,70.13037997385061,73.61860111428122,70.35236845688054,68.53222325531216,73.18814286925686,74.17832175116614,69.933885398394,70.36133271497252,67.55106129713496,69.57394648016499,67.97492348824382,64.05972886767329,60.95198928679733,57.3828071650316,54.73972561429029,51.53581360505322,50.966238750796876,52.35154534573392,54.18580177706304,58.374672242245154,57.450875518626695,63.473187330240975,63.12007070550345,65.01731715703244,64.60703370003952,66.4519786429253,63.83601626129752,63.868579434788536,61.14489251561235,61.570530649728376,59.35873284940042,57.94542195744408,60.152974684145214,59.72569905124351,60.01946984862749,61.551251452494235,59.25253370440591,61.27374603429038,57.344768028774226,54.60905555123096,50.232032891540115,49.237785535721656,45.367896840238174,47.787713052722054,44.918868106543115,44.38513629466785,48.70810013584614,47.0133423283642,50.81834788913703,48.23358599378775,52.192278029823235,47.22768555903674,48.209120225461305,47.86200665683444,43.330502880676754,43.12947640806199,39.10404501445336,41.56836680150775,38.48008860706922,40.78361563053095,41.513857358732764,42.604562991465386,46.05189925092925,47.087689884026304,51.03814308875933,48.67174035378331,45.74583437188101,42.60167006367091,41.08058556777877,38.90770757306601,36.180811114078075,38.68388778444058,35.711178770149836,39.73774052032169,41.56022815083097,46.3866474035276,44.916163457629374,48.39541035015601,50.85774304710892,51.797406779651325,49.037639187476586,46.08260009888094,43.64568445039236,43.34093616385807,42.78007859435694,46.037114723623624,48.04596707323048,52.818352505515136,51.81484536649948,49.45699843526452,52.59409631110964,50.34015240529175,47.32605069881296,45.513250445789176,44.15087746345038,40.39171308611162,40.02399964019136,37.803083494892725,40.148306809335345,36.97805030972234,39.9037099962641,42.59522313455048,42.746020614740196,43.611910710690104,46.067055237364606,45.939874064805004,47.550518326827145,50.940190979178446,49.9033642197879,54.23917117101472,54.76273943595135,52.273360661641924,53.87820818324001,55.48221104884655,51.96290643825132,49.381059374020325,49.31043543497871,48.314039730721596,51.7263928843773,52.38891514015123,53.1850892955532,53.154394237599554,51.945113953749896,56.4325133082123,57.11489954828161,57.16368238903566,56.3298300500851,51.73531877125185,55.90753866881108,58.422420070559475,56.47386075499814,60.25825196452579,59.964460005806465,64.33000888852432,62.43880351562403,63.385235969605,62.643292463714324,59.78187581542699,57.95471835224868,54.93497377523218,53.93578091025422,52.42933865570566,47.889676879619735,47.35654166711295,43.240784593228625,42.26661324140378,42.4919036333683,41.225389816075754,38.60107875901671,37.24646667926945,38.109142178926724,34.84179847719767,31.378748255422746,33.0732764978782,34.112450222633036,28.823196099568996,27.663754907028967,28.718419527442425,26.939955937841642,23.176312177706535,24.146882128577477,25.500291702184484,28.41434775210581,30.261009725768844,32.36447552028475,33.91049014793125,38.90205206142122,39.86203279375656,43.56990049450979,45.51753401741541,46.596167738739474,50.01375520682945,49.19663157151135,53.195307652109356,50.80894895157416,46.16277576996701,49.940006830228874,52.535301482281305,48.13829766871956,47.56978162163287,51.78777549121605,50.36330704620012,46.092327810084235,48.118120418189925,43.760158832433646,47.795600042623974,49.60707737845776,47.03645285039082,49.94635653531471,50.30219784745403,49.31375214766466,46.44825732229099,45.12997499472346,45.78847183748595,42.43178032619454,39.832269381804885,40.09466270341519,38.16981277401762,35.10145040160754,37.43985016477754,36.5769625038122,32.16013610982963,32.52491701153967,35.513923702689205,35.716732683082405,39.84209364274921,41.31758378659947,44.288963485299746,40.514040268908055,37.130162333238886,42.00033793744047,41.502257537213175,37.97685753070076,39.44534406949044,43.96637643276983,40.64613852897089,37.30802172368436,41.776023196554206,44.21616843747209,40.515609977564054,37.84311229155972,33.58132765380165,35.39895716367386,31.168069281599053,29.752879041350386,26.675087960713462,28.39204449178942,25.381844957504093,24.407517322375238,27.933826586145365,30.60746825917416,33.097506558523975,34.71772051754001,34.40655395741994,38.76533847363846,37.38597638244878,33.484781849462934,36.84962883543229,36.77198124687974,37.20912658648187,33.61726129916115,31.01694704039,31.194273687954762,30.941332945291965,26.31403360532542,26.25850242622128,26.428426138574803,26.522937422848294,28.47745216670547,30.331496224218615],[17.56647425214574,20.153269731884027,25.21815006386402,24.79716822623523,30.718139656469035,28.69820270705704,32.47885895979754,34.78095470879353,34.09907732506168,37.4773362457114,39.13621707946308,40.36682330417969,42.69003508710249,41.14194805288125,45.431753713208266,47.238877331336845,47.083289436345666,51.46885375137899,54.1361191896183,56.75740383781548,60.019520914141175,63.65565856652858,64.5937147576895,63.74861841039279,61.12937697361294,57.052977686865766,54.97322688591489,51.071946817369884,51.447909376488475,50.23762844997455,52.75602167518733,51.41386701100388,54.02684040261469,58.39170901505198,56.90769810919768,56.0922250722634,54.60551324162603,56.28919003268761,56.063354582171534,61.34184423555037,59.058011115998724,60.414356472444986,64.59269829865974,64.55761084714403,66.65667251534785,66.30978117123229,70.45701135089536,68.80352090195363,65.11167143714874,69.7341496541473,71.12774480174569,70.96853933232981,71.64962144386702,66.53478923183684,69.9017477646718,73.38515665349391,70.1374758768199,68.52242962084257,73.22709368454606,74.08915799450534,69.99601471757958,70.69310280383148,68.02448129825964,70.06320285596894,68.257126150602,64.34934371495316,61.43478158930356,57.952295514060665,55.37879866361762,52.35480786030402,51.780239058259326,53.38214535510059,55.20764635869841,59.23822004125208,58.28629992070006,64.3921510242439,63.73839775801453,65.75094071733902,65.10053458717024,66.7178583522062,63.98794702991328,63.73646084411313,60.97877031732928,61.14428622923508,58.88829782925688,57.76245154613807,60.16275856438477,59.9110536352142,60.37551954846654,62.18991417127282,60.01656324990613,62.287676444837274,58.40884723843877,55.678119318279236,51.20223108493748,50.47267513880836,46.487840311278,48.718473086015386,45.718210698289774,45.173003151512304,49.220728854473045,47.19540813265381,50.88701135216312,47.96846366205122,51.58479582913836,46.48983512729897,47.21846344475186,46.612055374644314,42.054440059690855,42.21195977869801,38.22123186262792,40.87667556544029,38.09357575675353,40.31702166159738,41.45098982591293,42.38459459316368,46.01850456267576,46.891202710868136,51.17140295021299,48.981109929383486,46.05313291886728,42.886193828787384,41.034790923445584,38.7555458587128,35.952153419552275,37.99747576447654,34.94119198851564,38.77936909157053,40.394665224052396,45.257219638572515,43.39010412677325,46.802743302728906,49.30516244400561,50.52677440548836,47.702736287325514,44.973380261125705,42.17932781010859,42.22970685653392,41.87851700953296,45.2960255840994,47.35117993002562,52.20206773712633,51.44582580218484,49.011718968176254,52.19518030034069,50.14084174694855,47.0465687449226,45.357568881820114,43.86458419135455,40.306170060558124,39.821957176213246,38.01974356296828,40.3509373192749,37.596485160683656,40.657683524516216,43.0574242720675,43.09848117837549,43.620690874658045,46.145845362772654,45.55366513360653,46.9722791744086,50.62292613791994,49.2969638983003,53.65602815339828,53.831934590603176,51.18342599092741,52.57052286832749,54.002666275698495,50.347829175108586,47.98227717573085,47.942648062556835,47.23472352717676,50.76951109684725,51.604460522445954,52.63229178667979,52.717369204391865,51.81099506305101,56.226474492954615,56.69557498835681,56.59146467595534,55.5186580920122,50.8908710317822,54.78248036108087,57.16611582133238,55.29950527048817,59.3006628236432,59.24385760792195,63.422087100182615,61.45059159718475,62.20998862303144,61.2749294129661,58.47354264085296,56.40710647995453,53.31114230030707,52.188296130316246,50.47711029491443,45.98247810816084,45.40709622410099,41.21092724670186,40.55114317104389,40.52601866208969,39.58236511851762,37.035683074223314,35.25649015846305,36.163763349587384,33.22467056011415,29.464956193665348,30.93733254092783,32.34872979955367,27.191812336746022,25.646555414310036,26.74022782055261,25.48012640273668,21.424573285665577,21.930774230175437,23.05342148377868,25.974630545622592,27.332690295851595,29.732559283888627,31.316095378923062,36.167072343862124,37.1038137774663,40.78594829807309,43.00360428097176,44.13177433217844,47.65279487895043,47.05305464962192,50.87636138017812,48.277348923010535,43.796505909497874,47.67996150464872,50.00995044377961,45.538868325233175,45.177082416409114,49.42309639258058,47.69531177969157,43.457991600249,45.82136909955618,41.50162978556444,45.86616853319317,47.58319593943748,45.10756134278112,48.23056774325013,48.65596985508295,47.90489378019596,44.94306378839113,43.49061999341053,44.47413354819882,41.20964355505099,38.32409517455384,38.7916861270548,37.1054026754145,33.77974062837962,35.90920606297457,35.34460494329561,31.0679532815135,30.924679616368106,33.79878497655163,33.75251836659874,37.877177356990174,39.42244795915943,42.145763174719384,38.22677656226696,34.93647842964053,39.738033068710116,38.957117688209735,35.41166615241778,36.98685507977234,41.281805565700544,37.7408621109781,34.55095944852855,39.09703549255916,41.280381604625624,37.43788443623619,34.87610618295484,30.746283412588447,32.2559896069426,28.081256019974866,26.61636620808733,23.86054302059857,25.89654143909555,23.31689162150223,22.03944740101354,25.58694914340868,28.01746757866111,30.736634639577154,32.429381464194904,32.624961626901026,37.0322575284767,36.02492254346701,32.1645011770411,35.74943956266954,35.67378186051409,36.54050160319003,32.7792832861859,30.075289143762713,30.764062638111014,30.56709667394878,25.50148850212148,25.663648549416,26.450070049850797,26.82529415726165,28.936583787987907,30.91861404687847],[16.10038908134722,18.26756873866002,23.037894262095673,21.925652799460313,28.04594454128847,26.031211894907294,29.60869160808596,32.192905644777916,31.24188137874156,34.32911566885316,36.050322233771325,37.59632291034066,39.63391996149425,37.83099938086264,42.25656663303508,44.14270566698809,43.76768788173843,48.08528882734962,50.551008624694376,53.30409584019988,56.45171152131335,60.13607481344021,60.951678270834165,60.037217495012925,57.52475043093831,53.42109886395985,51.47856057103768,47.61732132530934,48.15017285009018,47.15877880193848,49.631972751693496,48.56080547342055,51.28190264154415,55.51794895607655,53.97969123593907,52.96260205375207,51.67030010764551,53.092797231730955,52.83308640706776,58.22441084934426,55.709721715947964,56.99706754598229,61.23800310428423,61.22494521954683,63.22388499423571,62.91471668487245,67.07718452258162,65.48994922166433,61.86882299572809,66.56708684066706,68.0190937522279,67.99239528338784,68.6503710243388,63.53050876923307,66.96815525687545,70.31028582889442,66.92446330025257,65.37610342199132,70.10258300102652,70.81782137140172,66.63804585584465,67.36401256777505,64.75995657713398,66.61608616291133,64.79077112079864,60.96815690425168,57.90819863235067,54.52990084815197,51.79942481899205,48.88236887732906,48.17634198597334,49.754928255837335,51.727688597166605,55.698156762879066,54.93575914352413,61.113195473467066,60.47020308142733,62.64664222331393,62.00723243183313,63.60340813771492,61.040442539843596,60.76730019305769,58.23635491845628,58.374086701929485,55.94354826258711,54.80478587925958,57.04132678722784,56.99674165006057,57.21999558892543,59.21953417170727,56.90395926830516,59.17318656105821,55.348559628707086,52.75720669798876,48.22042808643544,47.53937935858309,43.47351195123135,45.974930182255406,43.08489873219404,42.95929677308743,46.724572088592474,44.99113456546793,48.3950099611947,45.69962589503943,49.306995476829606,44.215528458315255,45.258593075520956,44.556364226748045,39.99680216205243,40.12850086705809,35.95159127201618,38.236469446859395,35.26639987819883,37.21758780236114,38.16184644329134,38.9159192798911,42.50054854599105,43.22071364741711,47.45268627392623,45.4107799037921,42.3925825982357,39.308101782139914,37.34818695370806,35.2195044266046,32.60656153972225,34.795869697645806,32.17389878485694,36.02530964275385,37.88412685186386,42.82777233285555,40.98893051690117,44.642923557837406,46.875316659011204,48.143482497329366,45.02573188905633,42.12343235247346,39.350032151768595,39.07019959196076,38.47493501243672,41.90019471381561,43.715376050568,48.565298816758094,47.84715716453261,45.52961992598235,48.81361871349596,46.859129893006155,43.75988318449577,42.26903875850971,41.00062521324679,37.511593368229775,37.41585755428194,35.68014413721907,38.428146218341176,35.88645253379022,38.63401412888573,40.88122799757259,40.59903445548718,41.25016998852353,43.463667878539574,42.9918676563926,44.09912760098215,47.594376990135736,46.08961990215404,50.52860360940528,50.67803715937273,47.91081921198111,49.53607320969795,50.91275819197607,47.3735911328325,44.84244052175157,44.95213676102613,44.12420484212369,47.800409875796205,48.74022483125913,49.808614183837705,50.09909301192769,49.05684274252809,53.67195860228602,53.94526736295821,54.01339581117346,52.74714166542191,48.342574884893125,52.26191982336474,54.592525403247805,52.548174733237026,56.36775868296789,56.14635898697459,60.32847794210182,58.18435594316316,59.15086146067124,58.30680566689767,55.58035683986837,53.653116219292855,50.66752166187908,49.72676881488917,48.20484077677483,43.62795366535191,43.35239692099185,39.30221900933323,38.652773361051274,39.09440275950305,38.18701937334025,35.322798131834276,33.777498857287824,35.12718300386011,32.002453743196156,27.9092898806145,29.992840104654615,31.785064368594746,26.203376166159376,24.88839744258937,26.552762906483316,25.083222103733096,20.746129373284695,21.944909579073837,22.62250657781932,26.348588842433518,27.019777671670234,29.339634444424057,31.41144891035848,36.28897902347053,37.7175697408874,41.13606146318419,43.19248684091606,43.94454587982168,47.34961572688567,46.412200623343516,50.21429649267337,47.762750445799,42.938987974777135,46.65780365485053,49.04709524798053,44.51580874451326,43.8695956198981,47.98916390765502,46.36735004320306,42.038111636909484,43.968267060295574,39.90984870862441,44.200146327872226,46.20346358380005,44.0321962569408,47.11088676623333,47.9299898444782,46.80796562565033,43.69207682413624,42.76500271717376,43.786870642423885,40.16506410134707,37.528089568037885,38.386108874879206,36.634740684609355,33.21277866153758,35.83249270373646,35.468034394433246,30.999259247233148,31.067321324242332,34.2382354704988,33.91853624155529,37.92825312626631,39.048995519171534,41.91454723473918,38.29553340792687,34.49069435439852,39.14338354754886,38.65025872020575,35.03484613810252,36.064006198805295,40.673764399938946,37.3063187577245,33.633901049261965,37.93654420393603,40.48576546026652,36.72380991157754,33.832827766011285,29.46328759288452,31.19457369917769,26.804825919424022,25.955146632477746,22.57378646499508,24.662206992644062,21.805280568753513,20.13098836988236,23.599048005247894,26.081794185964164,28.625796717619224,30.683086852005484,30.47345949731239,34.9227755430203,33.579288679949215,30.296764459006024,33.983684201504765,34.31576190678513,34.93189624699765,30.868217317826865,28.724743288265124,29.38884629151627,28.470906118140807,23.723599156207886,24.485299065536562,25.119540174372656,25.274951495282632,27.517773794265224,29.531714388903595],[15.567016400775344,17.212254595013842,21.637459658091142,20.72887046748648,26.74541286214817,25.780919991885906,29.43708248808602,32.457276582657244,31.930346928531375,34.79374073993404,36.930890822729886,38.67715420980054,40.10400195411622,38.396176976215656,43.09459155027331,44.787820473438664,43.96641349865831,48.33210872006401,50.511086474314745,53.17054130034355,56.24649732698988,59.7543124397133,60.508656659823735,59.34042368759094,56.833461878658134,52.88424508364457,50.922377835620885,47.23230247805065,48.13055531484607,47.38204818061887,50.37531017487759,49.24122230345706,52.29041434121164,56.4175822014699,54.53926314789543,53.261331761360715,51.855834470078285,52.84762335006037,52.2677518755791,57.44568635273196,54.762540240246096,56.42880822731727,60.64656092251319,60.362530137760174,62.1746951610358,61.593173032207325,65.8073831014849,64.48568652066052,60.6666006610872,65.1952186248643,66.93781311827026,66.93193800933373,67.82802352496996,62.77998397277021,66.49256895402249,69.73819824845289,66.30811702227298,65.07027268577026,69.85129677617425,70.30952474336044,66.28929005804225,67.37343230976668,64.99660273070612,66.74769009648311,64.66239809155226,60.92435310091525,58.02678580068613,54.84587011406333,52.115487607328255,49.51313127767682,48.71707600843222,50.51248922704322,52.56309687880744,56.280638872461616,55.61534706197015,61.89278953549122,60.904494731734786,63.30298541791146,62.38208263359782,63.67465468477032,61.07655335658675,60.424836453874306,57.990198881422955,57.76580939938241,55.18975532540288,54.437986857082734,56.81828042042464,57.11825237705025,57.41718193783609,59.855588415297014,57.626820470723786,60.173735118828695,56.460694694516846,53.96904203110385,49.32386821709956,48.97474637859955,44.7777749456633,47.17778394988824,44.21932841367679,44.27774612717866,47.54651763752469,45.56236517136241,48.65283448448331,45.66104657878719,48.77582325734611,43.551397352665084,44.39339530625506,43.278907616079024,38.721854643802544,39.35416672439134,35.17913480202292,37.50109546074157,34.890934160223544,36.53968015613107,37.90965334166304,38.317804102988504,42.083854954738605,42.459563829119446,47.06336666285814,45.37798031234043,42.32446512605752,39.30710474747597,36.851017865114365,34.71836436657637,32.174392834534096,33.76579025310414,31.337627527372774,34.863921707882795,36.53706316666284,41.5341684428549,39.12887573907338,42.79633203102736,44.91692637387997,46.63014565529255,43.26082051075577,40.61310747646663,37.32058485781571,37.37267572630792,36.92700275243699,40.57028636351,42.25019473804678,47.1826450211278,46.85925319196452,44.538702736331096,47.93294396989371,46.335835140630245,43.151458034919294,41.96695831552564,40.66709892900781,37.52952457785264,37.48707059878256,36.34714077787694,39.22695022602502,37.31283347551254,40.0488919455682,41.85379741124372,41.2893521007303,41.5622886178849,43.6835943951872,42.66806737970314,43.32787603232206,47.060107534147285,45.053635451196,49.54458957460504,49.17615711249379,46.100447557657446,47.550420789399645,48.60702897950026,44.94771268298583,42.66045464481443,42.92822494277189,42.470279183834606,46.39819433793382,47.6459716918502,49.05460616868689,49.61450537008106,48.90973663971769,53.50159327786932,53.385849319894305,53.34143351506312,51.643541727133396,47.348394388038194,50.85813812412755,52.95329309690734,50.93381126256227,54.93833601596391,54.95471028291678,58.8553168572681,56.482660130294626,57.30438399774643,56.222514654542515,53.65068060599142,51.46400900022136,48.44398264984667,47.429542570590925,45.703525550428594,41.17235881645131,41.0162643592858,36.95227598247516,36.81509512952041,37.11988115143793,36.73595389862215,33.855787818439985,31.795159418974233,33.43570615126615,30.7620859405698,26.093964508421557,28.12202201119697,30.648694613508976,25.17788970604969,23.41578793174884,25.380317798775014,24.621048562735503,19.874150558597798,20.643563623359892,20.678610443671623,24.726195411840283,24.180239157308105,26.950256104530403,29.302359231672494,33.89528119058414,35.46771758082862,38.71043010469798,41.11550918587397,41.76720732692902,45.25519264756598,44.5014177409739,48.00274568403882,45.29903076302822,40.600050216053575,44.38015140534607,46.361762638732856,41.69781881437843,41.24192283815654,45.31514692860377,43.25156486435041,38.9410620764003,41.17850245616176,37.36603921568393,42.115717386330026,44.11142884511628,42.25523021549956,45.60562779640861,46.699441626637594,45.75695171241475,42.45901405907445,41.59010930042629,43.07523551077853,39.46427596567154,36.56842202927847,37.869918364678334,36.43956664089671,32.682031378502295,35.1734178474242,35.29802520479252,31.025525004656004,30.484960013963022,33.55326792906182,32.772548737448396,36.67514761052677,37.70056309333355,40.23011559897601,36.564472490798195,32.71453818365566,37.13357169087104,36.3352820034261,32.690097661179756,33.59821578922802,37.96006310363009,34.32824547216646,30.674996616663144,34.939838545094815,37.23328728499184,33.26765483088803,30.398958480838406,26.151839959488466,27.396960610657892,22.958534505946915,22.48969018436652,19.3669306164473,22.09333855559303,19.899822666300043,17.404102720862703,20.79264200411254,22.79482632313608,25.64082566521313,28.070536365025035,28.469040101042705,32.97123853730004,32.02437438236842,29.190239113968794,33.19219151744087,33.719656040502294,34.80866757991152,30.434151519902002,28.459903509365542,29.79007823296565,28.637058841180078,23.570841314052117,24.880627140829933,26.217352627897785,26.60177452396391,29.018207660023155,31.106569535560354],[14.982032743603455,15.944582441628082,19.789707165677314,18.58403414865607,24.523335919683944,24.170333289697357,27.688158444008764,31.04942962366077,30.63515167704632,33.19298808460819,35.57386408227814,37.554756035943164,38.48921302241745,36.744513850572105,41.61412908893109,43.214892150569455,42.05385998681128,46.39135918192847,48.324497253364235,50.96710451883742,53.94994926457683,57.36812339070268,58.04516302075236,56.72338650480929,54.2613745139931,50.39838773586837,48.484132536892886,44.91841436417764,46.076418041819075,45.56180493841582,48.808834331154266,47.76393593434094,51.02526052474992,55.011934427562025,52.93009319629187,51.42665839056859,50.05369131284819,50.69012241419319,49.92936643663216,55.02923958473373,52.166987141954294,53.99388020923039,58.211292263728005,57.79786032062354,59.47114919038136,58.773858348897456,63.00944546141638,61.84700507475451,57.97119839870089,62.43988169694394,64.3431790664769,64.41266289779082,65.41276621748096,60.413238964522044,64.28165050870639,67.40907233494816,63.90387126131599,62.85650907331153,67.66422182540761,67.924897821049,63.96261172154004,65.24553432306203,63.02430711168738,64.64373033010722,62.41663087148005,58.76790282103483,55.917352284908645,52.897357198583876,50.12721046898561,47.75664719635542,46.873097026449635,48.788990610300914,50.91118388888914,54.44186295645983,53.897541663614675,60.23031572146645,59.05459595713734,61.63336033707552,60.56456169462954,61.67908763860537,59.1468221648026,58.28931263120354,56.023861501711885,55.60107780093048,52.87628399245663,52.31934536330519,54.689475034625836,55.26595033919545,55.496435470437085,58.24503036342302,56.014711664933614,58.7090176584826,55.09925215331352,52.734695838759045,48.029509180605736,47.89831727954226,43.62345110815839,46.058426399938256,43.13508325168437,43.494963284224006,46.326945965476554,44.36994303381719,47.12401315418213,44.114176335097056,46.94975834755026,41.69702379481693,42.607899635408785,41.243850479212824,36.72526542549032,37.58823619648191,33.35250094976281,35.462277686260215,32.97369713001621,34.30116416995084,35.803589137623284,35.93671396610844,39.75665844618973,39.88390401840093,44.65340806941951,43.227343751849304,40.14204139627673,37.21399546581312,34.45512141792178,32.39574603811407,30.001191641578476,31.3109040041276,29.24639428040292,32.56424085729087,34.26096837595365,39.29039802434148,36.63828998158804,40.42986780659591,42.32959809246904,44.273288488235394,40.637055301241354,38.03587354778424,34.51552767361358,34.55860568053816,34.074818774745744,37.81435302338752,39.31850205990256,44.27467366886554,44.16809969490493,41.90217419362399,45.38153130219122,44.02543639237471,40.8117392198614,39.89297912176116,38.696159198886775,35.814305819304366,36.00340207372665,35.232856780374206,38.36598077308868,36.92322021395294,39.45589508179395,40.92558711660848,40.05085893117957,40.18256196118524,42.07648071639197,40.84149046398392,41.10159799620193,44.85748376284578,42.51364624814631,47.04793549842566,46.410119937386526,43.13728341442782,44.61413197838298,45.49213924791065,41.84422131951723,39.59375690878975,40.012048503855375,39.675728512269885,43.782553014130556,45.232639348291265,46.82757771871571,47.62728291379512,47.03368145903531,51.688559293254094,51.274489871807084,51.26134225859346,49.254477306912065,45.15277943173939,48.45853008787257,50.40324792747789,48.30914078718649,52.29598938920679,52.3485278090044,56.102519754728064,53.55210280751615,54.397940906750996,53.25214175830826,50.79883375441348,48.568386140997006,45.600776378506154,44.65734100135941,42.95443743522419,38.41546564524583,38.492712243182865,34.54153765825224,34.65555298388455,35.184463583698566,35.075386253059214,32.02502144496476,29.889243345978766,31.93062755748501,29.396781849642853,24.31824862285496,26.68492254923557,29.754854277868922,24.193082241428083,22.41675971714359,24.840782346466593,24.301467451211508,19.366651267107876,20.352800502123948,19.782514535163454,24.38016913734208,22.848965395208747,25.681949514222115,28.4434052605548,32.85247740299176,34.81020519905565,37.74982076740912,40.15212931462308,40.505451959008504,43.91980801342444,43.03038105069917,46.3627144767146,43.67116809387431,38.83742152930065,42.50551958382575,44.33921114715559,39.61433067403499,39.05624380112364,43.000126326808854,40.835396630613886,36.49977141286465,38.57584999774846,35.06451668270319,39.93961714365222,42.09408662755831,40.58608976154761,44.00521674112167,45.4579245791838,44.378981509522234,40.93050718344569,40.4207608553003,42.12813780104399,38.34402097006567,35.514777977568976,37.24609988200099,35.945654301820454,32.03163892477358,34.72658146265928,35.1938932112536,30.971318426447727,30.294626556377654,33.44704215058723,32.304474499064206,36.023598117212394,36.720065644676666,39.163626480220344,35.7210898276921,31.568467740849098,35.7237335431461,34.9965836265782,31.342678833381072,31.813832236865323,36.232433249680604,32.65693389149729,28.720881759979882,32.74942656658649,35.16943698078699,31.22589936245757,28.162089320726416,23.853004617518266,25.050623532978086,20.51162613944564,20.67985108290854,17.274713834869928,20.266595494338848,18.29076641637808,15.149322481004733,18.327565570605017,20.084108222391855,22.911072220976177,25.736108705819966,26.164787428503615,30.664560828885453,29.725792452973298,27.5178902872969,31.67769913940579,32.5401643489211,33.70319582182658,29.06322895899385,27.55132198948874,29.177242945031736,27.51628931394276,22.594371209995792,24.50152354530508,26.074050071171726,26.43923610970849,28.959655612194656,31.05163600158647],[16.94507023297789,17.3751231479463,20.580821519636615,19.128050084091996,24.853841387466296,25.148033470960286,28.45415384277004,32.11645424439208,31.729840187977935,33.92383768873618,36.471592947630285,38.71108041095485,39.18922039848038,37.314425032624044,42.322512178758416,43.887772106746645,42.375593546462476,46.62213085842646,48.21686130549976,50.91334327451514,53.7304424647251,57.081030346580825,57.6044625772951,56.08238516590566,53.74834234997748,49.972321668789334,48.19623429700342,44.79566233561195,46.2595970624031,46.03550457507185,49.43153248641055,48.56950244007113,51.99575260670517,55.81910869320956,53.5827894402933,51.835023522595066,50.56326227576169,50.79411746308497,49.845789171137525,54.869988684098374,51.75237281503158,53.72269689906917,57.95103208175419,57.39871015214332,58.86764764800896,58.03031985880543,62.28630530170893,61.351369886699295,57.42947711235254,61.82040158985022,63.93706190195184,64.11641981122386,65.23607536608789,60.303608723578705,64.34433612905806,67.30925769093322,63.70096129155777,62.875141914725305,67.69670582152109,67.70847668937786,63.78796760563016,65.26468011650375,63.21117782714525,64.61924942137989,62.26970424927815,58.75871695451149,55.87245906510961,53.05986220318725,50.16409983847363,48.04591480065425,47.00367706936513,48.94054870159282,51.229366653740115,54.582023583774195,54.259817170692166,60.63781733048516,59.34885534463188,62.12903318367512,60.95902701109746,61.91309328165272,59.50189713192487,58.44721970418335,56.398896850594234,55.7687517322003,52.87030406059954,52.51997065309141,54.82858390640159,55.71524194541908,55.80427110953406,58.85586672592551,56.57195672311335,59.34469832910921,55.843374870761735,53.63865237297671,48.89998327325792,48.91297984941491,44.589667700831214,47.1544465493325,44.31512017096214,44.97843573975267,47.43131570886034,45.555515248048806,47.9779534463772,44.98758996285864,47.52923396724313,42.27245721048677,43.22185377282596,41.58184687633413,37.134091019635534,38.26671066636637,34.01169936778281,35.88230522154515,33.524067130265614,34.461045835754895,36.02415800236066,35.80700526197043,39.62402056073971,39.399573822056716,44.2708075622102,43.194619564758625,40.04179091355853,37.277722018154705,34.19337996518921,32.32590978303485,30.199080972675198,31.236480816482747,29.663506643654078,32.708870009834,34.40887919348517,39.437126716596545,36.46344335098389,40.35117011918059,41.99001810521149,44.24234306458813,40.29712974397758,37.787500370791015,33.96065486961973,33.9939591694377,33.41113315628708,37.25844661500355,38.41098508541218,43.3718027558997,43.56886129826956,41.43795347130759,45.036758285096575,43.985233142194176,40.76024774241199,40.175972677944,39.13887341801281,36.53230168109115,36.97926490134796,36.526495382532616,39.87177895045608,38.78696966730617,41.125954136619875,42.336223683824855,41.18277830083306,41.2207278710112,42.860994240456115,41.44764228153684,41.25925461619833,44.99380895089457,42.2491464019032,46.827768378366,45.846466947893866,42.28662361259486,43.814276960620894,44.39008084061342,40.76903584137444,38.60495836836116,39.26495969420612,39.11031142178497,43.44900041462746,45.152681752113004,46.959138095706095,48.029466375320425,47.533662681028154,52.25362148034715,51.51903582480026,51.55023938290554,49.189972457014576,45.33624317728205,48.372898252835135,50.114756614874516,47.94162845215713,51.89331174104413,51.97743591189524,55.52696798911789,52.70779382089161,53.60725998733047,52.36237468682284,50.09654800268424,47.79015166177181,44.89638212050316,44.02507174108422,42.298161305270014,37.795830590042996,38.14362404829259,34.325537939334744,34.81599347602142,35.46787380285894,35.72269711076366,32.57973978714844,30.259792310999917,32.63834518669454,30.374804391639568,24.940701533929083,27.45075671443485,31.023261314146136,25.552449360079518,23.667005948772484,26.346977604088746,26.14053377501186,21.134103576917475,22.02037221871175,20.965861932730398,25.77022510854455,23.248672349579962,26.307280435849574,29.323879308109607,33.42886201842844,35.55846448486106,38.27036921080446,40.84655962073831,41.02464776309823,44.4172215002095,43.55177998877046,46.630505961910565,43.84026736433341,39.03962184594243,42.637479395356266,44.16889362092088,39.37372360093949,38.85228693853986,42.64954683647061,40.195965437972504,35.89105494325187,37.97699986908267,34.854171150022154,39.95860808910359,42.21197697581954,41.066729914514504,44.59672646142725,46.34562641305033,45.24676250234397,41.67555395223234,41.40697155013496,43.363709739988984,39.512370808445795,36.68034860929893,38.749148343795476,37.61056811700546,33.57411761494438,36.29338220272927,37.048309276696045,32.94574997050831,32.04540084784984,35.14864645983739,33.71470448127003,37.27188233187623,37.77825251402123,40.01753310994594,36.686286539790544,32.439424939593756,36.3048325720223,35.47036442879596,31.848501366423257,32.02455172793385,36.28339835139222,32.61815034285383,28.60945611911348,32.41191639590711,34.71475503064265,30.682000706452804,27.569810024094778,23.39168784208135,24.132772140023018,19.59064675195138,20.468562973429325,17.231082630781472,20.654748367715637,19.173487606261208,15.370835124679616,18.193335940184248,19.40743161065341,22.31250123253828,25.604956238775177,26.26833098611325,30.712057243809,29.874752495769886,28.341230401793542,32.62181831778636,33.75187931760719,35.02679572224137,30.20060911132804,29.06537381068953,30.942130200742035,28.904944701404062,24.15669909931816,26.472017892084377,28.209416461938407,28.55092224744484,31.10769853392462,33.165158891275844],[18.671328795592014,18.544364518509468,20.997319716455042,19.715783526004962,24.917530422642027,26.157996547207507,29.315171383709874,33.22172935326319,33.14568474242023,35.045509560797925,37.85174776311433,40.22249924739725,40.1737964299467,38.39099734086083,43.51257201774219,44.90093497411816,43.02326965103516,47.214017709589974,48.50607573132027,51.098888402010516,53.7954580952637,56.95760924809602,57.40010855495388,55.6570799139172,53.37639599106139,49.78726209802246,48.047044553307856,44.86560004698116,46.64612544897806,46.66394769196811,50.41894257570128,49.55662622427435,53.20186447797122,56.87239128137867,54.38617583200468,52.421572739565136,51.103832595084576,50.92567187085317,49.70679067357215,54.48881821762356,51.22084260663245,53.49300645699218,57.65898815693728,56.8722187722336,58.138928349235854,57.06372093841189,61.32824024238121,60.656678625257705,56.60440080103456,60.80898673724462,63.182475081648306,63.40163240438486,64.71976564537673,59.89973634608631,64.15207185932648,66.98267506177281,63.34692207742758,62.809634185775096,67.6378659840377,67.40192435904041,63.64614611803327,65.42007319925608,63.58633662357177,64.86639400917414,62.31667199056338,58.92809402862736,56.194093151282814,53.60120301132735,50.7253215016182,48.916393660119994,47.800525333390276,49.87969337930377,52.21417835825383,55.30712434872799,55.09419386371037,61.485461215613036,59.92960059560335,62.8838357134761,61.49696131305532,62.18472023148194,59.79484440637234,58.428238056135115,56.52353640656721,55.583738587437175,52.56783526269044,52.55850815840147,54.934098983467,56.132218226864595,56.247620343246666,59.64858806681093,57.442895210669334,60.40557206999054,57.04068175264042,54.95944599756231,50.19815694674978,50.4725830940437,46.114850911839156,48.5870773960948,45.75998886399078,46.594940681984355,48.59548887338315,46.594607308546465,48.683329838743916,45.537796967985045,47.61407863414666,42.34856623939876,43.1531721397495,41.161817489722125,36.83016782755562,38.378339171630756,34.22417196417418,36.000226442165825,34.00575338262158,34.591067635433774,36.452377024596295,35.89835932705629,39.76687783757415,39.20313592089277,44.30182768328138,43.58667684600262,40.45918787154228,37.840522855085986,34.387304323404194,32.60933099551401,30.66573126318829,31.131370728886598,29.896203083093017,32.51517384945111,34.02934031702381,38.98208437541136,35.542612866408696,39.40061497082969,40.83729726079786,43.48529211418834,39.317641340918605,37.08066248926734,32.835103567559095,33.13358783840132,32.66407383729925,36.624884493178925,37.56148212121906,42.502163493058944,43.083289370209755,41.01565167382411,44.66535838618146,43.97746435266577,40.744493321587655,40.48171158840033,39.48024613620219,37.25646572780247,37.7926610376762,37.833401008827295,41.2421096662056,40.66288701905546,42.91004754111637,43.75202830356219,42.36870037655762,42.12394502977778,43.60819599551565,41.78966066173818,41.15948677162756,44.999653719167064,41.820912825291074,46.3766423411449,44.92094409985254,41.091066302085665,42.469105654406874,42.69477462233421,39.03183184831066,37.126445679926604,37.97541260803259,38.17233895327002,42.697118548612515,44.67846815535007,46.768372736634475,48.09139818262228,47.87242561807262,52.52725433502555,51.438745877309096,51.399004341840055,48.65547481788344,45.007827399580755,47.621497500587324,49.106346683869155,46.95435117023851,50.98963077426461,51.26270391853521,54.507996916947,51.471512154385216,52.26406787869311,50.82337295967116,48.75039045765353,46.24507232197988,43.38289824411874,42.49117179183411,40.62810850978084,36.236759348279676,36.77436979068263,33.07783389092675,34.075891894651825,34.673610071966216,35.42449348336685,32.31333622652576,29.635979898190154,32.29424908777889,30.50320960327301,24.748190622375866,27.19305831532823,31.331674834539932,26.171464046528794,24.06648188785911,26.930910401583674,27.27326700828478,22.273718641239565,22.84777419158147,21.22845536188744,26.104467791365416,22.414002359893622,25.725697913599713,28.96015648581643,32.6227104090527,34.9123899762826,37.32878849464149,40.12908188981046,40.13936144710581,43.512266344827445,42.77106126991122,45.50553636304341,42.55635797925958,37.91248589662759,41.45443508822663,42.567640421182624,37.71947561683756,37.340696422021296,40.981918822289614,38.13694744108109,33.91928985283225,36.183641206654386,33.46471344923813,38.88748924662339,41.14451312883797,40.38285331386258,44.076784108162244,46.10109710894262,45.118108929037376,41.438276813158,41.31725826807066,43.62708323272908,39.822768587701525,36.893152549398536,39.328140053130454,38.46690991701232,34.28230941302465,36.877637092297434,38.01835725387764,34.17164914985003,32.87261340740463,35.823390900511704,34.026420467670064,37.35485491562921,37.693121120531906,39.59849713205566,36.37439016916076,32.14085959747743,35.623628555687155,34.58196259671224,31.045061270160563,30.968070862642215,34.90846357413807,31.123294377099104,27.162061141240688,30.71477555458762,32.76462102593851,28.642038534537917,25.56631415540029,21.667678513514904,21.790663657838024,17.368730947230517,18.98475721959237,16.186149398003714,20.07264200215161,19.395784701405105,14.9910499196415,17.295854478665795,17.739786992712315,20.78366502296125,24.462213356057514,25.650918340092684,29.95437766373018,29.47591252247436,28.565326721518137,32.957705907262074,34.280422177376174,35.860440754381344,30.917059298377826,30.059952090314525,32.359959296535614,30.137102031988864,25.451507801796758,28.112226985337088,30.226912893988008,30.686380204710925,33.271313632600204,35.30327244662606],[16.50213259562127,15.585049095318023,17.127189156376136,15.480088793754847,20.39172890638796,22.079029870226325,25.018037720473448,29.091569166777486,29.194227871224562,30.87326541210921,33.869524402837186,36.29520888811172,35.87125600827359,34.23940382414566,39.398930643777966,40.62162693184332,38.57824870591632,42.77731647892501,44.04704182636188,46.49595760634852,49.22767975715858,52.28827795295017,52.80563705377427,51.07075857578369,48.69583089491484,45.17369900137761,43.33939714076387,40.203302975340115,42.054006420091945,42.13844856579195,46.13371627892545,45.21226681456199,48.991822041344726,52.565660516944384,49.930236988062944,47.88327507549393,46.51267974012824,46.19740474318274,44.90181728003358,49.61948729591927,46.37254937213353,48.729537617670545,52.85746697951011,52.02616242199259,53.31970448913428,52.2407110328937,56.50576418153472,55.80096838163981,51.72921652822715,55.938446426841274,58.29208933880529,58.50925301347676,59.8333959553188,55.02935693699774,59.31194576512762,62.12382948180133,58.50131451809097,58.01307245532607,62.84403657840987,62.58696705361106,58.894396912588824,60.760591518666935,58.99615888841639,60.31790779705313,57.685280581830646,54.291175388856836,51.724623235160905,49.1738503318098,46.44042352548356,44.75751893616242,43.71929656156903,45.99770679051254,48.18953712532362,51.12982795610057,50.82616554123235,57.199470992964784,55.44913902983828,58.44308613158659,56.927591066901904,57.49684856623016,55.09303696617065,53.628262750680264,51.77741231624841,50.76585604764388,47.710828390260794,47.77706425727726,50.18398965334452,51.48010907143794,51.64415192940635,55.19182164860739,53.07683760865616,56.18784403721895,52.9058871526225,50.87307284231392,46.10999156145207,46.6112655384703,42.24589566926751,44.56118360553574,41.747432093412485,42.76091405439522,44.380502161764845,42.39521515371831,44.22328295444609,41.107475652880126,43.02897076875431,37.803643744610405,38.75392950235117,36.689810741065834,32.41450580383649,33.99062099217377,29.809418572187017,31.361434076163548,29.46615472636338,29.869900527868158,31.87611811226413,31.238119286275843,35.16127671381532,34.59377310440525,39.840011824147524,39.15386152398519,36.11437009041105,33.49379824712294,29.925761637072576,28.0655981041294,26.13242984982708,26.341862443325486,25.311587590457364,27.78093075441465,29.359207498325187,34.3057479228527,30.90182384677096,34.88955503688808,36.17375756465311,38.798544062832924,34.52114154398896,32.224973332599994,28.00919719729084,28.22915838899297,27.79790085589711,31.766635416317754,32.83802826311218,37.78855335086461,38.35847615190744,36.224764945862596,39.844930414670955,39.21934963718872,35.9840935620121,35.81151694334761,34.8395795487661,32.81617635434871,33.49828102370197,33.8402663363368,37.39995719946706,37.26735074367116,39.29013911348747,39.81104979905564,38.20818130169526,37.83981715372582,39.15688435250929,37.20729649020525,36.37145756793667,40.21703199689735,36.95033798762956,41.496552745006476,40.02080662875844,36.22581653385492,37.623990227922945,37.949267217565236,34.30830798430388,32.30468661396017,33.12431444622826,33.27009918554243,37.80475515204065,39.81882441577961,41.95446048824601,43.37677541124762,43.21490918486494,47.873134944656876,46.6510819678959,46.639950631549134,43.803600172364774,40.25667966713468,42.85138617042185,44.32743907464606,42.11462360109334,46.10073591911488,46.36002534204898,49.61797523811795,46.623000406196724,47.4215138343271,46.04035051382169,43.93009596971814,41.512071415122094,38.68466436514291,37.891449661880316,36.19695172706144,31.73520055523861,32.44066203394564,28.890422634072667,29.81475651300343,30.84237942642728,31.578975393571252,28.254645563493064,25.87890895314932,28.904947402766652,27.001159348123206,21.122037735708748,24.135434222815277,28.494087603235016,23.212755681132634,21.47885634684196,24.79922274019987,24.972512927432202,20.12800888993705,21.35952966002224,19.342083130605985,24.756671841323683,20.763667374047163,23.546456864406547,27.169828821647776,30.808496129528432,33.66559435108181,35.69361764583476,38.03493694827687,37.619676180492256,40.76024101394393,39.59597479669406,42.36203400678011,39.725600871957276,34.71124897529299,38.002452059419134,39.33758337218424,34.547546210030255,33.77500345818721,37.28225685998804,34.81444320424505,30.518802519814756,32.18163671683118,29.623316095838806,34.797669214631455,37.29056932199069,36.77242160083548,40.32969599256786,42.66954172401681,41.3504208243253,37.598101989592635,37.97409547891126,40.26885480104526,36.22713834694326,33.59827504305691,36.369466448716736,35.5100453668452,31.3541773159708,34.33515151451926,35.66835167389543,31.828466405742354,30.75034129717033,33.891725491781436,31.888426226584446,34.96523832565722,34.82605080264831,36.89353352717896,34.128238810390854,29.436783172437146,32.677146608249885,32.10780497466931,28.611237259878084,27.894555517946387,32.22418564928565,28.921364000443987,24.427526479758985,27.596076071760542,30.23941782967499,26.503627874601634,23.038541789282878,18.848853514614163,19.767158266869053,15.30875659735979,17.46364206494434,13.743682936180802,17.181480308494816,16.300136229682114,11.703079577197753,13.55200176473051,14.124112990427758,16.736698433173817,20.6450615722098,21.34535940316203,25.586664940294927,24.892722660405884,24.565475378572824,28.94140672230875,30.6053270097757,32.047887325195866,26.97763326314884,26.691609238110118,29.078888987158813,26.367217952234142,22.115987169056897,25.289359158166516,27.44348881127246,27.835969065729753,30.441088665211648,32.43122957983861],[20.398067869729935,19.224772936964264,20.101465660832122,17.978794865377473,22.40926165156119,24.52120261028768,26.98811827390566,31.2862478282042,31.18462699534127,32.309078662573164,35.34486333269642,38.11653999419124,37.20164890381041,35.27632477635539,40.50325566216135,41.763393512714615,39.31901915112816,43.284207326346866,44.0442818836188,46.64639324774037,49.077863998869525,52.097665467283065,52.34088148611291,50.35927285624294,48.24915080950321,44.82347170037533,43.29183467888405,40.40387489533397,42.63115025870091,43.13776762264631,47.09290927864202,46.5605335794542,50.44522535880965,53.75858643468727,51.03517684022271,48.67964676310893,47.57882408321839,46.731005192468245,45.26462741626261,49.94127300945676,46.29883418260746,48.69887756949078,52.84769368798769,51.91196039036387,52.905980362295,51.72037418507922,55.9821520843358,55.569727275806876,51.54445851210692,55.6885523689429,58.279531003177816,58.70194299940666,60.1117313601553,55.41381490375666,59.84926456897521,62.394056266551495,58.60595208879348,58.3693890911518,63.17747623901286,62.588169827246695,58.88746114537751,60.919709176231876,59.355310778302616,60.321280466014876,57.6061242903835,54.44628709542189,51.72231911791279,49.473365049817126,46.50430771385377,45.14404410532816,43.851196637810666,46.0368296158805,48.499583646892845,51.223906698134826,51.298899484979096,57.68117764744843,55.913885341006804,59.16019351634947,57.61664127101986,58.050068778562064,55.911629694598666,54.293849404055415,52.81746529085913,51.62561907220292,48.331972506547075,48.5685907826106,50.7542833670937,52.443862495847604,52.28769710934871,56.151806175666565,53.8920838448073,56.98492858856532,53.858111471901275,52.07851759423172,47.333470279419885,47.91566895866025,43.55436472739023,46.156324361199964,43.54954420363057,45.00314309855267,46.2079965250024,44.525102453127985,45.91481213610839,43.02838495287374,44.68204787524673,39.57328295304782,40.70843620458688,38.40213012074756,34.31352454627898,36.05804631188529,31.89450764660645,32.95167267588715,31.099738062907917,30.931351917122416,32.756123403351104,31.639306109854314,35.40035291684031,34.32924323165579,39.515168449978546,39.32647446114441,36.19444412485277,33.88474583779729,30.00063081393433,28.565100651663116,27.161219617800217,27.21960871313617,27.05791013377589,29.16984826035518,30.85293706247417,35.689882778369345,32.07452427330066,36.184261341854494,37.00288752599445,39.92364755987695,35.23807021146196,32.98536212189781,28.557001283585613,28.509873795790234,27.759513124060284,31.758221555983468,32.148745568846216,37.02255169399218,37.97325153959412,36.13932634712922,39.91007340090669,39.681494124217146,36.5043185065872,36.80833937212441,36.17883079850455,34.483133383612646,35.60396740938448,36.16180322833594,39.99522224353972,40.12222068068328,41.818969629320605,42.13017781286298,40.19708632018709,39.880809885646144,40.773358453380354,38.832086453861834,37.414447409428966,41.034131313377564,37.30537062625913,41.87235425358002,40.03820776386943,35.87424866082061,37.49268163009134,37.389923324817644,33.926710366294856,31.95359068336061,33.177973932891625,33.45076020602069,38.253819609653156,40.56435067717501,42.88787562359877,44.661457631593635,44.483321479288946,49.251417179153265,47.65462317704525,47.79850602241947,44.55600196774907,41.45829965248664,43.76115250203947,44.97129778964847,42.59865264491202,46.364201926266055,46.531800286686135,49.53879223406241,46.14610307798319,47.14723694056828,45.724406447127805,43.91095516696441,41.533433688745966,38.911559021476954,38.329426853676466,36.74540922756972,32.392778950262205,33.56203141621135,30.351012188254405,31.645666384468136,32.962920567754146,34.02200259789271,30.601939142302896,28.25827592140783,31.618930427317636,29.93919311625501,23.949095526232508,27.120215811556108,31.780210459993782,26.643871337293,24.983072993720455,28.42726122659454,28.7251698660266,23.97254921150867,25.19875350203591,22.956151749245613,28.365158939618375,23.711695420385134,26.55562615286831,30.31966300343447,33.59160129603611,36.56620075212549,38.32931596811038,40.772281659485245,40.14059884437828,43.17341595490692,41.97104725885984,44.43384132092146,41.78580048761268,36.829355677355046,39.91852197115026,40.921447060454064,36.147370389598336,35.34234875461759,38.54697827876529,35.83863694804605,31.669204435886872,33.11099185377279,31.205396012714093,36.43636334966697,39.08323479314363,39.03806289693743,42.59883525538794,45.277219879381235,43.840869517070985,40.011124855679256,40.756110697477176,43.201680525258865,39.07712298285607,36.599004367103,39.642955312592065,38.87806554787943,34.72629968867572,37.77132889614472,39.28250837307889,35.53201837003653,34.40894165985357,37.5045466737521,35.32000906056261,38.19835870548896,37.83192186474455,39.719766095184845,37.162619373489086,32.42551088444452,35.28509006033624,34.694691463095225,31.3225154708997,30.221579896086784,34.32063314108338,31.061116247258056,26.56556001082492,29.268265840057058,31.780695951427308,28.090190143784415,24.64728774025954,20.811588526317266,21.132193718836096,16.975087903488113,19.960150224174644,16.66161886979392,20.192987652300854,19.69382908667206,14.940767201260078,16.133300275703082,15.986532730478627,18.32849498238916,22.684738793731956,23.39224740497761,27.3674560290282,26.616811220090963,27.226951789242356,31.551856999867837,33.525139632565356,34.88133203846475,29.730909791335094,29.937946871073947,32.34218650604967,29.193674036329526,25.410778814640707,28.8514613067308,30.90072571479456,31.139385647849036,33.7013835278303,35.58591139699587],[21.346477355975043,19.522822863943528,19.212695481940944,17.073152662573698,20.48532766427279,23.502901225637252,25.555039043318803,29.986774953656308,30.20963932607355,30.92751461600977,34.19182019484969,37.02846556135992,35.50410187334121,33.789554165637846,39.01338242805536,40.010953591707484,37.223698729890614,41.08930039455121,41.59858729859358,43.990259991681995,46.33500915084532,49.118014609231636,49.35676237384143,47.23186212928406,45.104985135783544,41.89834643820104,40.34162675121618,37.69358864879848,40.184099853090935,40.91480705693499,45.237497256195866,44.673823026417345,48.75143285762101,51.85777939547996,48.886257246074365,46.34319251789448,45.190542925072485,43.95038740989956,42.24017623731875,46.6528918029542,42.93194714739287,45.59947974594562,49.64591794035188,48.51510487380891,49.37295264095337,48.017710299248456,52.26937709522664,52.024883871606136,47.91611234681933,51.911410097418006,54.66118990140612,55.1151550168536,56.66032999877165,52.08033760166941,56.6579514895157,59.07844248521574,55.29809970526506,55.30351773478362,60.089422070411324,59.31318038155674,55.79197366925519,58.08887690471753,56.73894825168578,57.63944186937804,54.7397897136602,51.685618720249664,49.21541608735403,47.17411024102087,44.35652816737437,43.32415484400427,42.05554308034122,44.45826184930202,46.8155639263634,49.22005445392203,49.3015437647319,55.62220359853285,53.544435670883225,56.91368007361476,55.140935589099065,55.301561292604795,53.18689381382308,51.28929364067525,49.976407957687854,48.52172618231404,45.134109960649994,45.672046393650795,47.900205728907444,49.87162397204274,49.76557813406234,53.94401780343712,51.822813401302014,55.12195589958755,52.17404983534904,50.529425653180105,45.82716870444702,46.73335202487398,42.40882940107445,44.800499753896716,42.25408818280747,43.922275335268736,44.5459048318706,42.82574722772562,43.77449323223222,40.859265154131656,42.05078554621648,37.05175303859508,38.19257782252561,35.616810074903626,31.752165508893015,33.77104403963808,29.764453816088462,30.5139116799084,29.04735019406687,28.447753438616864,30.544808063809665,29.11206358058627,32.86887284966498,31.535591284514044,36.93150377224617,37.04403234061421,34.051143688534076,31.902557761867328,27.736323568815976,26.3676551425408,25.194462696399462,24.598673692310015,24.946425015104882,26.51939440218784,28.082914254353803,32.741594893747845,28.8716969343673,33.00274944644667,33.49273754903689,36.66421278667293,31.756424672954452,29.69842003847948,25.033574043607366,25.095028805518645,24.450664427920604,28.474434058105828,28.750040828587995,33.55759047924492,34.80573496921586,33.00471030432832,36.75096056655616,36.86038858160704,33.727405103268374,34.35478925645358,33.80434148776727,32.58143552961293,33.8649247566002,34.95424021614123,38.8522147919064,39.59469925078529,41.04853112952425,40.89925586554021,38.69301351563165,38.11050508693434,38.74457836576171,36.46680442415798,34.57132080608701,38.200971337074904,34.112107094568984,38.60075116314873,36.394756851716,32.06510252746218,33.5914073773092,33.26965887716718,29.830827947565336,27.99372514036287,29.37278945266998,29.88364965484227,34.79790016101596,37.33042188189995,39.874529756435194,41.8965904031627,41.952272871419275,46.627012531064395,44.68879826828467,44.812409903902605,41.2420696043583,38.43232963785147,40.3778048664643,41.37084570629475,38.972512015040365,42.71324324101252,43.00020182909185,45.766492978226744,42.24561651735298,43.18014632512504,41.66685625006844,39.991012804727255,37.56050409153782,35.02912791335965,34.54047004439527,33.02823087611732,28.7720013073118,30.26005339934413,27.37026859513204,28.96948887018574,30.58683448535307,31.960614080565215,28.491437611903415,26.233643998379463,29.96531386850851,28.574326902902364,22.563902175760962,25.963308587973245,30.948656433218535,26.128496777643875,24.683021477309385,28.365113669405012,28.84134792775739,24.420569129661946,25.816434308920012,23.161917355934758,28.67112637394949,23.3890239589724,25.861880804518236,29.866632042007243,32.74099418717348,36.130270991505576,37.39670178675058,39.598554207599555,38.563489456824385,41.350800406512164,39.931547704330754,42.1429574138835,39.6724427543036,34.63168097893448,37.415734537073185,38.277492552658714,33.59998375661902,32.58789115624581,35.491845471509144,32.846487841266935,28.771566449785155,29.770961845523235,28.406952138061616,33.544952905651655,36.34697585333637,36.776643432806765,40.27507273823208,43.33697594318736,41.74322760998966,37.85477784362195,39.06494959821576,41.675925107455164,37.48826455505642,35.23264410560432,38.67058056840759,38.08853620943281,33.9765408859243,37.13415180566372,38.95928775199897,35.44683899302132,34.2787223489614,37.33325032938805,34.862864621933205,37.3604931625783,36.56027661367247,38.31277772191503,36.21236005551553,31.29124278416338,33.63424168981525,33.278790765122736,30.0991915827993,28.3686994315705,32.42013230932919,29.552865681465775,24.84851191180217,26.92090440069387,29.654264681340667,26.337864607088004,22.756087401046223,19.14578382713119,19.59553170919608,15.876913985097659,19.577266087985514,16.264494777073484,19.400500072037183,19.319280721937076,14.6220646015748,14.82762741964103,14.083168400842503,15.837323197082203,20.478969810450838,21.108216201770677,24.719111329566175,24.067185259094483,25.6428952861505,29.85626446232194,32.15815202776143,33.565096190699705,28.410692339586095,29.209797285629644,31.83558726682095,28.339661284506576,25.08721798510291,28.907259772997875,31.108223662735103,31.353942075024158,33.85494102490076,35.62543895967353],[22.108032363633523,20.22661649612754,19.726009264629816,16.448858258004513,19.997779460031367,22.32989347553776,23.848921456345064,28.363644642334517,27.940299782944233,28.19796314909691,31.282940943921467,34.46289686093747,32.820790994823305,30.622393397543323,35.852557376289596,37.08482775835508,34.194806174463835,37.87948664991219,38.18246130093949,40.89838421065859,43.08198287735327,46.094409384988374,46.14574325556485,44.05391315106174,42.12060500311955,38.72513091946686,37.450898696628784,34.76004483852153,37.307959560725145,38.26965223497284,42.14732556929943,42.07250739192321,46.06132768921177,49.01825280730173,46.21180251477818,43.530025523472446,42.78056029731788,41.401658744350435,39.86220334153224,44.63394667508467,40.624772928165086,42.88998860328818,47.08268070993361,46.179049990626496,47.00763408183249,45.91630561792617,50.170766397319134,49.83705115987667,45.98458232380948,50.245234782509996,52.865395574669776,53.520939391111895,54.84894712817212,50.20780976838424,54.677996677463355,56.961882058199436,52.99775862491091,52.884016101275385,57.654173216740155,56.829810774116204,53.04617466232464,55.13678678575855,53.72610568421153,54.39634264909665,51.64572825788138,48.674130114216034,45.82128530833725,43.835234354302315,40.723914011539286,39.69862304137204,38.235682442633205,40.447060382860144,43.02848933386577,45.48274880994779,45.84320103886165,52.193583830281426,50.38508218849464,53.85928750724494,52.307052187209536,52.65030959379053,50.8336774406528,49.18286785705523,48.158133394188766,46.934592685668164,43.38589507694467,43.61522756887242,45.4633651040834,47.52159476529954,46.968162671496785,51.12494654054439,48.72691621984525,51.81746914259314,48.89662177838624,47.42061124665207,42.74089608141564,43.51096060751986,39.204757273872076,42.042956912856496,39.749073318911435,41.87306302112232,42.39671829638634,41.27582131963112,42.013363294884144,39.65961755289791,41.17588191124,36.3472507939831,38.06437139756402,35.71871500932081,31.913359885918187,33.473577257414604,29.277254920166797,29.38775930176989,27.394513113751046,26.47057278564156,27.902144149483124,26.289962193162403,29.822933484249088,28.35186702391277,33.444220771425236,33.650251607208645,30.490720015193535,28.496844363935654,24.346442004720295,23.357084066638,22.625860727153192,22.68145848536246,23.80497429251223,25.5726595298227,27.672532645721454,32.34131471940307,29.04934616690521,33.46916058163463,33.63293828178097,36.4661478393643,31.342843209254337,28.783527831978216,24.645002522381382,23.72745120539829,22.38503902323044,26.291258484519254,26.08290574151255,30.894569178036058,31.966406354041933,30.41108154310681,34.30684726351799,34.36265549247106,31.285214439307914,32.08925633523651,31.970164270692862,30.67035919146911,32.518213094265164,33.32320844404283,37.606749381339526,38.23441236338847,39.26022236133104,39.17007328054589,36.72064398384072,36.57251668312516,36.78139736139181,35.08797141062614,33.01203425827525,36.175141695348344,32.125042660156105,36.72008365692885,34.868450609251184,30.53482668538955,32.68653772430663,32.52055755938122,29.4372489507305,27.05335413873671,28.607797735917988,28.56785864964988,33.54077408103954,36.00888322949883,38.34978051268764,40.48707401450372,40.087939123201316,45.05184895018082,43.1135946247831,43.58630862401804,40.0634929059053,37.54531581511133,39.84354228052645,40.938912063426585,38.24816901474569,41.51814563842199,41.33096419148922,44.326803155247575,40.67502910745153,42.0952809169163,40.92896814164876,39.26769932916024,37.31754829315831,35.02817686666463,34.918006391248305,33.90489081867244,29.562035600394832,31.36562729287237,28.762852487985487,29.87849678729805,32.16401721786113,33.105184886633864,29.339118631881995,27.85492055621146,31.721807019939494,29.794675000611438,24.03736771318595,28.011879053373153,32.651572073743324,27.44678496408033,26.54198612789489,30.3683543693938,30.18438637700571,25.883662979577025,27.977407536677024,25.577112008113186,31.31868341254626,26.71550507246299,28.76752359084469,32.82139945300566,35.972019992142876,39.520638741431455,40.78700733711092,42.58787048600518,41.37491626936847,43.977153376447845,42.122127470014405,44.54565189003452,42.45219415549248,37.05561785699017,39.58448627494162,40.850749303604026,36.31349258921657,34.85191183191119,37.592423556822425,35.5328098152412,31.442723927267785,31.587559093637385,30.3618444674586,34.88307415477901,37.98315337309884,38.466488237162054,41.642921812180404,44.8448915426019,42.74772201919531,38.888393213298464,40.57197853447568,42.824629411484324,38.324256633072004,36.54661272914577,39.95473143752401,39.083973509413724,35.1820698985357,38.80276848321303,40.40253393353511,36.633795197967935,36.053168374173005,39.376301892463495,37.08606015931766,39.58726579736346,38.54450734057811,40.677385561086915,38.8452202549173,33.61339727954393,36.01913253688867,36.15992299075497,32.977056299897185,30.949641439428238,35.43335312577385,32.96999127657236,27.965176249224466,29.819113001493335,33.058014575759,30.059432862314832,26.303344367400904,22.463582438193214,23.588278926170556,19.85249729104827,23.324510271792292,19.37476917982807,21.910947104047615,20.970942920558,16.727892614409587,16.99924810194428,16.94937553917709,18.03275881479567,22.54646244504615,22.02165501698327,25.532881096640526,24.03032520663976,26.088203089928577,30.08190036577203,32.674077549946844,33.429602860159214,28.248966052842235,29.582464359361047,31.68743827427125,27.586053421694604,25.078891707525607,29.072911801458233,30.680020449531906,30.537281291658626,32.96466185813394,34.61944008322896],[26.630733177667665,24.61569435167632,23.67299497372181,20.776743352901356,23.47340028208277,26.563899566525038,27.76914952774297,32.32560454778369,32.09340188517091,31.913014738729338,35.081594034580064,38.3914645995822,36.18809464783173,34.010324939956284,39.17324065735124,40.24375791944082,36.92651315231719,40.31047710051281,40.0172123695204,42.65820260676254,44.48519026480501,47.22710285682337,47.01814103070038,44.57550284190713,42.9171746717274,39.85631504864559,38.85074668401932,36.6176922133044,39.60820573912061,40.99052305232125,45.0547886424749,45.17692150005334,49.30878479831055,51.956676149736,48.948287481424686,45.970993461015645,45.339382163341156,43.32452471765554,41.45935110524871,45.85610973871897,41.53592018768885,44.08516335965605,48.14400064761437,46.95893469202772,47.375525672732486,45.98475221463302,50.18460990898596,50.31531617996329,46.41786166785426,50.381194672906744,53.37635096180371,54.18749430840873,55.74630005276668,51.3457902901922,56.04355019336787,58.01416406780903,53.978249372664656,54.29514617757298,58.992202203109215,57.74219853300734,54.162212454758055,56.6052268816083,55.53787601262716,55.86407676224767,52.91781879793865,50.25662016505423,47.501110772103154,45.94380954549895,42.780614427035665,42.249352547659036,40.608774491316474,42.81665780167357,45.54265926328184,47.59001328962958,48.26615613980861,54.51321556879479,52.49648496421544,56.20933076156052,54.476262569052565,54.49555461482096,52.876136384789405,50.874525335331484,50.20417928537282,48.610173893344786,44.885878065472845,45.54083574158451,47.29108805318553,49.8142431238751,49.12205216211486,53.68499700033129,51.31857091493679,54.5023420367158,51.82830442034984,50.610542297779645,46.020760576886026,47.010658379516386,42.783113462288604,45.61866418650283,43.47663927517474,45.84805023133094,45.851696707543496,44.767345136211766,45.02968602914823,42.68502403007023,43.618734125122224,38.957630347426985,40.55542543696043,37.8314174210751,34.34165850305953,36.317565723257346,32.38095015060552,32.218180437807824,30.680295628179493,29.220866797306382,30.774417847632996,28.657985428789903,31.968471313739947,29.894023036854474,34.97077421699638,35.839063004198074,32.771509684343336,31.19380189602702,26.7346147291523,26.154611514599512,25.921870174540494,25.33636505787554,27.09532244271388,28.19563174852209,30.0407926555595,34.387612529504,30.631624588880953,34.914852914152284,34.613809870444506,37.9400793581096,32.5252178453357,30.390232868011054,25.86862677159778,25.139483297594083,23.80321211175921,27.629024963606092,26.698972227305138,31.23715108292588,32.968467998724094,31.742231227455907,35.647782185011984,36.313063110093786,33.37614124816772,34.71853831026451,34.80152147077512,34.041263464903714,36.05328649497231,37.30193517457971,41.59199132983141,42.63397074494645,43.49750490887429,43.076760470567166,40.396252572482965,40.03635083232531,39.9401997688309,37.93319694137087,35.23246953620353,38.277445088622805,33.66004580651243,38.09331707423739,35.565231351845,30.817660232726123,32.885036848818906,32.02121166298685,29.112512837886822,27.13728521193287,29.13570229726574,29.57989697371515,34.73719826479104,37.590597403043596,40.25405553699043,42.75916436352299,42.626364608059504,47.46633001870397,45.046212133735224,45.51687052025997,41.47729475670661,39.46831442294371,41.122474830418305,41.777147782936105,39.07864279423393,42.23026391833091,42.19006268125347,44.650005161824495,40.564660264918665,41.98115172396069,40.592636081360496,39.37185679558187,37.27526879990066,35.20994787272478,35.213232807201486,34.15024156933423,30.143316808665173,32.350562197557686,30.149762873699167,31.911412256939556,34.15802614914647,35.666274959100704,32.04554477506342,30.270454024164803,34.33663168886106,32.97427960319294,27.151368014769183,30.87930143245696,35.91054453267269,31.153277136375046,30.05718753070971,33.87529057291622,34.16197788958049,29.934260259813588,31.64005069053627,28.931106136585704,34.49274922686349,29.01694681607928,31.254401997273593,35.36050821830207,37.9456747094633,41.538650000558775,42.466832342410235,44.49906470366012,43.111958793242415,45.61958717716584,43.928356289450036,45.85224207681912,43.630714193996596,38.55098996714513,40.885986438583735,41.553454696774395,37.085455668853456,35.797158678810604,38.15417924304001,35.623056923152014,31.821175217365365,32.01200267003539,31.593211166221348,36.315832432268856,39.396862372139275,40.431194565598645,43.702425893366076,47.20808996384078,45.24080372947463,41.339321189933635,43.21094001531305,45.79034654011864,41.41854416235477,39.60735055560061,43.302075514796314,42.70459689742913,38.75019339143466,42.162389461153,44.068942299194745,40.574011760473994,39.645410668817966,42.75806830510242,40.196656359527935,42.43860900583395,41.255513140664696,42.97487851053117,41.29856490920151,36.232830198326546,38.13102581402554,38.04011668760888,35.0632095998052,32.77754415489004,36.70883750586819,34.215554039787214,29.466798690932528,30.80447719490515,33.61028647704131,30.671451171983396,27.1395653505032,23.950521987430616,24.183923984823693,21.016270369544703,25.145817111731315,21.97962998532811,24.773766105140083,24.625379623204793,20.183731800221235,19.910459179058225,18.914743275399164,19.889994376135657,24.618058025644505,24.67141798186033,27.730575267199118,26.66669043991142,29.481009678223142,33.403210998032854,36.133738228940324,37.128194202546986,32.008741487859666,33.56283688835957,35.94445686928656,31.801826248966886,29.4395898117991,33.52690190563214,35.3542130346774,35.282759376923224,37.66466155926296,39.24855177674398],[27.49884772360317,25.387219375900546,24.15016619823168,20.484904595218957,22.980927086812674,25.542460898130006,26.149685195975735,30.682178304720058,29.939985325787365,29.233799928234564,32.218939820484856,35.80842969596485,33.39054588403394,30.832635063134987,35.91875300618142,37.140608056745705,33.68576164086714,36.82830173129098,36.27499963683114,39.17434971514775,40.81630217067699,43.72922963411683,43.34202942080017,40.921160240730366,39.45219828141467,36.25756563944152,35.53629539569002,33.331879905231204,36.406330295741476,38.046463372429166,41.72045409882375,42.29983042754709,46.349280174488264,48.796408643094225,45.91757379307881,42.79560473956916,42.54465898087442,40.34212209948089,38.616535096739,43.28999075924503,38.71135233135221,40.88808678944349,45.05136049648964,44.07155043187382,44.44892381912613,43.31118061951628,47.49536877339069,47.54311268116776,43.90733243254298,48.09773328528027,50.95760598973886,51.95817075899035,53.31115533155148,48.88466923747898,53.4702711534585,55.292492548041565,51.10070387819845,51.32855321873583,55.98896002546878,54.68141673379242,50.88500878490258,53.15948704272168,52.06923928687232,52.16911213201694,49.347103211907495,46.78953741073528,43.724533264122734,42.26922082748495,38.87141262991604,38.4269618908396,36.6133967158454,38.67017998394391,41.57069356845163,43.58462556177892,44.52493324821868,50.75649874403621,48.94466640037696,52.76014893335684,51.2030520681887,51.351348190562256,50.02497727236891,48.22881998315949,47.85905505314638,46.4601328744573,42.59765729117113,42.99481670385556,44.3748830705974,47.00904676663317,45.90518736796893,50.476092262376085,47.88876966916998,50.898567471398756,48.30117639014645,47.27772371481165,42.75682723179537,43.68115042922695,39.52394016247901,42.700827204729876,40.83139192708408,43.63784226538346,43.43497210550649,42.90841819666478,42.893801030686326,41.090807745896214,42.24531225764137,37.81227710721546,39.92082290164322,37.41172385756082,34.05103402342416,35.61582879664972,31.60069174548447,30.8090828630191,28.892706853599616,27.067513589259896,27.996033467375877,25.65818992143082,28.671751793317746,26.40659153325012,31.160457494743724,32.1971824913109,29.03117764176933,27.68972162913015,23.250958601985246,23.12120209211546,23.41951135746401,23.322043481936422,25.86429179094768,27.008611012248956,29.28310905003759,33.53371048190622,30.35322392573444,34.838649667237014,34.21439244694997,37.19320313801638,31.631449551540236,29.07844832562707,25.135794601845458,23.490748533682314,21.50147821925049,25.114615446031436,23.64942076718837,28.12352724346449,29.714789929568347,28.7663581498269,32.771906706661774,33.44359569995046,30.612344985838515,32.17854244754771,32.691581786130314,31.97008237435759,34.49606877740138,35.56797181141503,40.150692593348424,41.19230274128719,41.614858800643056,41.16269266241799,38.24255629091795,38.235192642574496,37.69712482403436,36.20285506708652,33.28915559615373,35.84425736206413,31.26063818961959,35.73031915205962,33.53024298662535,28.82275226538453,31.47690381166903,30.78028322219791,28.27026436624213,25.78901856532079,27.93347548606785,27.852219692059638,32.998494529357295,35.781177784505054,38.25001846534867,40.8746303625793,40.35118029321878,45.40288933110195,42.95363385970549,43.748480489217215,39.75187080555918,38.07735979213505,40.00965216228775,40.74079776611408,37.78624391097554,40.45087360763954,39.96210637919832,42.609394880989456,38.425283248769006,40.30148524860451,39.2633359460436,38.065810234138326,36.46216636239589,34.657378744931805,35.02904704546335,34.4651529903424,30.430722519212555,32.90593734918295,31.013787496142253,32.32396455076918,35.16613177424435,36.29238741044803,32.454022874915516,31.39123388336406,35.55815952724153,33.77483624878006,28.25353148697495,32.436521407719525,37.155028987080186,32.16638639923926,31.557503515262876,35.489443458785345,35.24616632775383,31.216326986201835,33.49665215259257,30.962753930705684,36.70234540697135,31.77591166568435,33.5961364413669,37.752215148046574,40.55225388700218,44.33458117042156,45.2163265242852,46.83443927055833,45.25431377307256,47.55932800987844,45.44704305479307,47.554505040123935,45.7184948530217,40.31553268431433,42.382832286038045,43.444249942998994,39.1396923858364,37.4213252854675,39.60921243136351,37.685114510307024,33.887575507514214,33.255226520109375,32.96317948046384,37.05251213478523,40.390029539179714,41.49057705525354,44.43308514105129,48.0758940128734,45.6440168012181,41.79656473024481,44.1281760850113,46.381691140622195,41.75873170295676,40.415163307053945,44.1006203196567,43.277644016109626,39.54758161325434,43.35141667218972,45.08902179745243,41.43260177576158,41.01079322630013,44.33444160546276,41.91002490248419,44.10017497506846,42.6595898346933,44.7057353019332,43.325292545808246,37.98668667551313,39.888882033264146,40.27675256626504,37.321966816349466,34.7414722142285,39.06039196861452,36.98409801377065,31.955106915342043,33.07601824899991,36.374681800813654,33.765355304574484,30.0605245518432,26.65398202779063,27.56860501501364,24.359069223401942,28.29367476136929,24.568381675474708,26.817287316845658,26.03023521684163,22.02589331243391,21.722126208458427,21.26607559898701,21.66845576096293,26.20219774247889,25.27010776633774,28.136938856638967,26.359838541131236,29.653820762161878,33.296926205888035,36.28322060202121,36.70421350577316,31.649492340925168,33.720938321917174,35.65795066824391,31.020164890633158,29.428228044788998,33.6393179833536,34.96861290912932,34.572571381764114,36.83599451459112,38.271206266917716],[24.02190302953408,21.70611834485612,20.160205681323067,16.44089356925988,18.81854321237542,21.453213890269286,22.13865219288867,26.689154766015058,26.194575415403254,25.732793246738495,28.877421581631864,32.27511544279781,29.969505705169198,27.71996960332275,32.87738047132513,33.972391616619305,30.69889653281557,34.142442533247866,34.07348957938372,36.765392398161545,38.76915359029504,41.690789979838584,41.63741591716171,39.44324985646579,37.59707035780317,34.29666954385229,33.168532891546505,30.696689466482137,33.5280136275341,34.8501040758192,38.79088670044609,38.97930264843123,43.071469540859844,45.72243851618214,42.791876087485576,39.86106035986189,39.31308886218321,37.478408626177774,35.82198996026354,40.55908837725037,36.31111043986625,38.5643726309182,42.74229852958799,41.811761930029924,42.512219314196095,41.448906532804024,45.6908792966863,45.43183680596479,41.67523859190454,45.971835669381285,48.62928656792676,49.432770167721365,50.73516658349874,46.17206960968257,50.686930181044794,52.77579643222463,48.71659556742377,48.74134766879115,53.47376336396428,52.463429719693636,48.68792730080554,50.8928309714409,49.64302546096148,50.12737497303034,47.29745485735778,44.47013879056536,41.64492539514243,39.891936129458784,36.775517811088896,36.08445356671807,34.54832247384369,36.86648247726607,39.44307679165084,41.601832543896464,42.11658989206842,48.40154223810397,46.455980907881035,50.093439918819755,48.45879550362467,48.656034402165055,47.04433687540872,45.29421323914656,44.603710382655755,43.291402084893626,39.57173746582462,39.88167752889343,41.52333717261575,43.89032121063831,43.11605844952109,47.540259599327506,45.12345038610059,48.28056579927885,45.55974246232035,44.31753750602082,39.72595306321278,40.73095828436805,36.514838969184844,39.37499936574857,37.31511733170379,39.891701246604484,39.79238277554622,39.016900121602234,39.19594821761271,37.1974750019239,38.473450516538904,33.922711039949334,35.998510953677545,33.59988933998132,30.11545091465042,31.588528223877937,27.513625998343983,26.889987380629087,24.970679847812782,23.39448919492815,24.62094121373967,22.566976264456187,25.903654608940556,24.07482465788909,29.17453444122351,29.740622191947146,26.647301621014954,24.94487636424951,20.54687274490472,19.919211979561855,19.7887127678952,19.598532332904774,21.789747661599474,23.08878876714829,25.392722456523163,29.791108748087865,26.742928233795517,31.286547455349705,30.92481895199048,33.70157594350364,28.303025106024837,25.610698228578944,21.73683486897619,20.186232531888326,18.428466656973924,22.220666818734188,21.548931664616934,26.294740700965605,27.52506018640885,26.169319345212802,30.1218469044682,30.473799513207528,27.503803435364112,28.749154680959172,29.002801813059172,28.150784464721657,30.48892694427518,31.612496788021915,36.114068947250075,37.23665596126454,37.76437533267782,37.27456992989998,34.44931148855807,34.3183854763923,34.00278984131509,32.38547931286147,29.750656127993825,32.57386888996021,28.231637470538747,32.789719122861776,30.847788696826825,26.392884783984222,28.8924075330502,28.661251858983178,25.898154558522833,23.252076403412072,25.054871402740435,24.829403313779597,29.8922425994461,32.499726831848776,34.88976985741407,37.318219746747246,36.84965913589434,41.86987045781414,39.62825739596073,40.30558886136044,36.541013894604006,34.510299442101726,36.69600083368241,37.65874056550818,34.76922139881563,37.67278342695758,37.277114003808926,40.20515060490261,36.37641710240531,38.05685401276206,37.057976735857864,35.526397809338185,33.88811278523354,31.874105904533245,32.117466365253065,31.54286519887223,27.31180757490518,29.57264269082438,27.520116631738723,28.535229302929103,31.461359351615805,32.36618231689437,28.4699452167766,27.606823028823825,31.747356290757054,29.788063889336478,24.38509762627472,28.730190617045967,33.29455811589846,28.279109017806764,27.87808648265623,31.852016420623535,31.45534717607321,27.61094414528437,30.126811706256472,27.62454124558257,33.408994741281695,28.83113783423303,30.316007465826402,34.477373794576,37.42435894800508,41.325993797655244,42.19601168574993,43.53825799911582,41.91638572295353,44.16915800208687,41.89036402210041,44.21376318669743,42.53679238182112,36.93662693735704,39.006849507001725,40.41080906022995,36.12650057019588,34.2300561703463,36.56607887848689,35.00483309291228,31.07429944624131,30.263238646702202,29.609619536624272,33.52034765074385,36.88971858149141,37.79480451033755,40.65856931897875,44.22516817649639,41.707189049804484,37.876846859277016,40.22394335560676,42.36055261307734,37.68747434693862,36.42631527997141,40.08434086817281,39.21223413362723,35.54338896542121,39.4554893014927,41.15681738078383,37.50573029921618,37.22837057677032,40.6110084107448,38.234788118712544,40.390388325504176,38.870101448615706,41.08816710490675,39.812291741998976,34.3543386461426,36.33327335272501,36.9632620817774,33.9967986595086,31.34974349214042,35.961520611571096,34.10784643572832,28.896867446693484,30.072933042651048,33.72583351679362,31.288279650273626,27.438271185231635,23.77892176947565,25.36344685579652,22.08105479750652,25.74107113762329,21.622890429803157,23.426718286654694,22.381960099985847,18.697967055701376,18.27049029755019,18.190288713698227,18.307970138009303,22.66626396273176,21.343367492959235,24.29563855858862,22.35188859504686,25.540857259126955,29.16135241253391,32.15723024862546,32.53964193798018,27.48087697903251,29.62202041197285,31.556200872902288,26.905215062793488,25.409098734380386,29.68506916186389,31.048145575937582,30.69744381101823,32.9620847567889,34.40546398929701],[25.390648247700653,22.857509275303865,20.849227219430777,18.192108226584875,19.669921330923163,23.547855214612408,24.413078326361543,28.92528619349794,29.216034336974,28.86424799497175,32.27076511122391,35.400301024109254,32.76207632802495,31.086049140754024,36.1665578165108,36.86337438510789,33.406191711604556,36.84172801421099,36.64278606138285,38.87759706904694,40.85579212692165,43.33358265968612,43.36450829320216,40.95169914171127,39.01534369545085,36.144410049022056,34.83265133311508,32.70386701000138,35.74880945726611,37.10275883833235,41.66938204911096,41.46096486762827,45.75277600723294,48.32683805302016,45.07258185391421,42.0901357248089,41.18947789654096,39.07116592829997,37.01977805853852,41.138289407325324,37.010617090151754,39.8821163031091,43.8111357947028,42.46551484571614,42.97386106923187,41.46470788737761,45.682435374291934,45.76011838717958,41.702324425964555,45.575115770622205,48.57253975765309,49.26513877187639,50.91758965901859,46.5569533003555,51.32265854013823,53.35870376686149,49.44922697289254,49.8585140143709,54.5608800675279,53.351935362010906,49.987223097074356,52.630809846832335,51.66406375289071,52.21053270142374,49.0927456763514,46.35769648187447,44.06183253170997,42.514170126891244,39.75029967785144,39.37748618744052,37.98893685028265,40.56388761311039,42.911392461202986,44.72568510743354,45.086837282136194,51.24968475976929,48.84652520872716,52.513902521097656,50.51146736559481,50.295393803399186,48.49644344872704,46.26174062279448,45.51978041324729,43.73424301103961,40.05236192129344,40.953645308166955,42.92693174286943,45.51166122796529,45.12655261113384,49.845655628827,47.76792873501579,51.22984313453087,48.661947837929574,47.419576425613805,42.87986665851205,44.21945687662459,40.05316525682511,42.39803680602244,40.198501041429765,42.53466570440452,42.08633295234082,40.77717761235277,40.76731546320144,38.26772508394815,38.813420583969645,34.24243893793971,35.77798934010453,32.905061364035454,29.6175834094715,31.771860442329807,28.053338667567118,27.732048374716758,26.660521050641087,24.986904636446756,27.013688226762994,24.820951538021095,28.25597227372253,26.234470520629237,31.68107283509921,32.52808706393335,29.730646538941333,28.117383496098515,23.53600512450173,22.716040383188716,22.43720265309303,21.06302467711548,23.017546000445332,23.599717902772475,25.257288133019976,29.415428178947298,25.547594170386073,29.8126986598618,29.352753018284194,32.75957044146579,27.297963968974397,25.330725277999985,20.675595596604126,20.172445595578647,19.177219350441636,23.04994327329857,22.52901876642077,27.103913881420333,28.912441845067068,27.46206402513549,31.238551376529394,32.04162463769649,29.111797425791597,30.54230117345247,30.506630931775007,30.154197943492896,32.10665784036762,33.871205190141275,38.04570162795139,39.66728849052166,40.408060062419445,39.55663932006952,36.75875280212623,36.04584223931047,35.88227090473076,33.46974164056615,30.532225326545714,33.73737573330861,28.971682619457773,33.315586416833405,30.581081083032437,25.860012346674473,27.695998277191,26.91296504126664,23.877039344408445,21.958509317387467,23.89260516913301,24.5192251762863,29.67186793286771,32.60868462282874,35.418807148750325,38.002498227418805,38.16011760242803,42.8136698210314,40.22946412831765,40.58196028367367,36.413161423935996,34.46853527985825,35.90734556261705,36.49576689491055,33.83949474419466,37.114617256925584,37.27251811163952,39.66449423190454,35.714785702531685,36.915165021538265,35.465793725424305,34.15541597826209,31.994755963727805,29.896062334801975,29.917320991001112,28.947782294644924,24.955269025096083,27.325983342741203,25.39948743979906,27.2184705178763,29.762902641707647,31.379225606982352,27.766783337597484,26.251292281979712,30.523751596124136,29.33739897836424,23.76722014721117,27.660421787752128,32.731988164659874,28.34941898354691,27.581760179367233,31.51088468925868,31.84469429216628,28.097830155433282,30.023080932739468,27.098436140722267,32.63389963206135,27.077383572738754,28.709665592932,32.9162938760941,35.252400936206314,39.21995310288217,39.726468837420256,41.31103994843647,39.56383014917144,41.78422514832722,39.790107132352844,41.632552742588445,39.7266275294063,34.48532604998381,36.50196518011402,37.30138640519197,33.00855613426311,31.395825798702017,33.532552215947106,31.40405933397557,27.661339040709112,27.224889821792576,27.105312903752495,31.501538437009923,34.71244094904475,36.03376286310987,39.143935013048406,42.89868962468708,40.7550914375784,36.865891352762176,39.13477010771312,41.74515044490637,37.35431002389793,35.81705998072865,39.76949172552998,39.30921169983512,35.49338526759569,39.00509164906759,41.12083444475516,37.883742307140025,37.01817010244931,40.0884227382836,37.368544255939106,39.239607741342994,37.65268162933673,39.35755784069696,38.169455836326854,32.95106939217027,34.42644559922762,34.72687670731906,31.961497860445427,29.132253755002417,33.16844482756683,31.248970085874436,26.2953585903774,27.06146767576471,30.296889327948893,27.910416323470717,24.248422940098926,21.186984560501276,22.07397402812058,19.367084774682464,23.602586013886373,20.263564452476942,22.300143240964758,22.32691631934707,18.380847354781892,17.28336571689277,16.12507202517529,16.229575583559296,20.82047177495864,20.53385935093806,23.152829690689625,22.139051678406833,25.700896868510124,29.392144595546597,32.34428332444274,33.36695319785307,28.37845204340804,30.416799585576292,32.95495347685862,28.6681186418516,26.836698366939327,31.13523113556821,33.10609058666117,33.10444658198023,35.384058924332734,36.85667875441178],[29.61489452396571,27.134044102385992,25.092240762865895,22.098365389560307,23.36208802937735,27.047125941783154,27.436961506547167,31.93090851114193,31.855068588672157,30.9316194093074,34.179523878477255,37.60730374030241,34.5850293938875,32.55147602932285,37.51531760456041,38.29202561531906,34.49840933873741,37.506291776780905,36.65396420288707,39.08935139050354,40.61057826829828,43.04026584467191,42.680777922423154,40.00004268025789,38.49703323730037,35.77931009824221,34.964021301380754,33.20999867117915,36.61236453124434,38.452545374569645,42.73182532153384,43.061352829567824,47.3360629963162,49.558454120295764,46.32261553456604,43.039287477245374,42.56140253971238,39.8716422027948,37.72388873822173,41.78152127141768,37.197052191390526,39.94138540831181,43.8467989043983,42.4606681850128,42.57728519316808,41.03137166377309,45.17409121112909,45.59032712458011,41.73525339441683,45.5316791823011,48.73078232820275,49.70968983515976,51.37443880651267,47.19524822901381,52.027796114580454,53.687401009049694,49.593780636030615,50.259018101588744,54.86093120993594,53.26759098150015,49.87405192565041,52.62046472447591,51.88442406143002,51.95166252527232,48.81858225000797,46.429490028165816,43.8973286718473,42.756172480250775,39.713614161397686,39.73520210531684,38.047019526181195,40.411028699179795,43.059749812936545,44.5920721037285,45.445238842670854,51.51225493084204,49.19660834738807,53.1112265104941,51.16771446467714,50.851656623465246,49.459678547275814,47.166402539319904,46.92769329953776,45.05269001138174,41.147831714394385,42.13161169732071,43.70374907573221,46.69161937794364,45.84238980440154,50.811652470766,48.543234310128625,51.8712809567316,49.5205017160919,48.60789099653414,44.18766814735095,45.54076578326339,41.48050374646505,44.16845152028567,42.281729716903804,45.07286177278679,44.25538353163646,43.41475201359332,42.956315406958204,40.89059553055584,41.26842549778074,36.99054985225392,38.79573251226609,35.866272873909224,32.8773034754598,34.96671791469349,31.35124480340725,30.462900784589905,29.329943848019226,27.11888499033738,28.65135832635213,25.99214989067882,28.976056416800706,26.365918088676047,31.42758620841772,32.90010195587158,30.070471013452842,28.951161265211635,24.257068415526312,24.11061041152618,24.544698160542517,23.303355589732917,26.131081287735704,26.43084018015949,28.230566235030025,32.0778266234405,28.360308125592113,32.60455021779904,31.601041847287416,35.08034439327693,29.367549288556198,27.418218423840298,23.0144898482897,21.94211535373566,20.413908740806743,23.972972907332256,22.36806281695031,26.592534932850285,28.825345008190027,27.91166137908396,31.75593459920962,33.00344018990784,30.285416167428462,32.2346385956112,32.672368944304786,32.61542412306394,35.02277952164116,36.80312295694761,41.18477694966296,42.89958480839845,43.28138547714506,42.31594826505159,39.251328216731146,38.7325713194944,38.07815146094696,35.92212344383079,32.47346193108702,35.172054152513,30.07639566027187,34.29463895430715,31.32144189006363,26.322008944196366,28.557971134123825,27.276692863911585,24.770188954043793,22.843524368677464,25.25650727104615,25.842200418287536,31.066847597663262,34.20543839534124,37.06381629101013,39.96885921561314,39.97660497286581,44.70252213340456,41.79291898667144,42.39905392602577,37.9245902759146,36.61139775952225,37.79334927479751,38.098824931364376,35.263143537042446,38.03208740269189,37.936934108800784,40.02465480778616,35.62473429847866,37.204622524664956,35.847515616775986,34.96029455670192,33.074069400224595,31.38770147714377,31.770857650577998,31.11739785234967,27.43794594380432,30.23329330916415,28.785423388631784,30.70833750673441,33.511832514836186,35.20982364148281,31.589150530176603,30.300433884649383,34.65630445365007,33.51646208205307,28.082162955371473,32.02075055602584,37.081147369018375,32.732727566230324,32.05714829846627,35.99700828144483,36.259794500923356,32.52710593755889,34.51057603697103,31.599914479444656,37.1267587857874,31.44982216272288,33.11233506283368,37.31912387775457,39.48888605849171,43.46780289924642,43.841120041393054,45.43228395826323,43.55405971162871,45.63861731960144,43.57756529178022,45.19457591515932,43.38531031068874,38.246932194133215,40.010189396228995,40.595179267056714,36.46518301495462,34.79388558419275,36.5562814465217,34.413570657680566,30.934637834266447,30.129517343353086,30.6258064739958,34.755517299149425,38.057192922778285,39.728070243718854,42.69963794087839,46.66536131880607,44.36296986293377,40.50764080326325,43.085070265943486,45.67514120218108,41.23735218915801,39.91796492176337,43.95204315630705,43.48352053623861,39.75640764500659,43.34140512760369,45.47260622478589,42.23496362051307,41.46035033623168,44.535663324885036,41.79176543841275,43.56450895498949,41.84628806031555,43.48135037059142,42.455884994035145,37.252359534799794,38.50720950996294,38.84906625614438,36.197636919854006,33.198122298063694,37.03367024308393,35.223564008071435,30.385475581398417,30.81116334012307,33.897994903902784,31.647588742555147,28.12498339691343,25.36929850532969,25.894478695912657,23.427205796569847,27.833846591791005,24.69793572395755,26.780992390919018,26.793742208009835,22.860006696737837,21.7712791763678,20.50347367423864,20.464286193955093,24.982163124760866,24.524165710558446,26.7913147845179,25.59278218439033,29.68450474157921,33.177559965940084,36.295247231834956,37.07800925804436,32.170285122877594,34.51450898911055,36.875123974453544,32.31075475202653,30.893766692578243,35.24159339946596,36.97881156358375,36.79342499834839,38.99926807519422,40.36898603807191],[28.2353164059754,25.54605391011342,22.98281449230821,19.555792655535573,20.22750090805546,23.680483907573482,23.52807415718592,27.94105018519317,27.73979862490574,26.472060516507117,29.703046809611735,33.17962217982045,29.930356240653815,27.909641280428225,32.80641340889016,33.52806416785097,29.675244724742715,32.666843729673126,31.893047142675247,34.322653936314836,35.9511818859994,38.47562596834172,38.23062673395914,35.70215495367401,34.043091961459936,31.17727345062554,30.272662259769927,28.410007678280376,31.782613542886793,33.65864340946476,37.90921278169149,38.302551620376285,42.5742446371034,44.735040518009356,41.51109130163324,38.21267257490795,37.80677911771361,35.13749280175225,33.088317218960995,37.37146742050856,32.78847426837149,35.36092462526452,39.35462597777738,38.12790873151721,38.43929559996331,37.12416359722375,41.31813191316938,41.453333284226254,37.688530312874484,41.74776873919209,44.71341452087936,45.70258950941028,47.187346087384675,42.89161512677038,47.61717217855758,49.34242457039838,45.21702298778102,45.702339253296856,50.334027289702185,48.88668925421617,45.3604815170618,47.97918127806285,47.145522519360206,47.31588001404738,44.228851028330695,41.7327143582613,39.19351625378837,37.959040887802566,34.98483697267362,34.98366822311194,33.37940861072125,35.873395634840236,38.37777954743907,39.90750652436906,40.64728890456047,46.72232922608096,44.39640658063614,48.28508964286487,46.371592918429535,46.13612403111787,44.76611959581883,42.61009519304115,42.40864548736398,40.69939502675721,36.76270109149359,37.54049691481027,39.019585209859954,41.964572627760816,41.04427520469978,45.981452028833026,43.70102062646732,47.046668356581655,44.708681261954425,43.81880574750184,39.42938052668413,40.86319611841512,36.85238882936212,39.50122331831994,37.716056521320056,40.70346953733996,39.67292033889967,39.084411737051475,38.44708040915463,36.674871807588346,37.210962297720805,33.08068476408839,35.26541695432608,32.55429301764088,29.65954038165376,31.39109212330913,27.757648425037186,26.39891428149224,25.094821313939494,22.633045299090355,23.93661308746085,21.188252335783396,24.135247851249673,21.57843668059147,26.723936404883833,28.085095276017114,25.290844163959843,24.17529499543838,19.460017319192797,19.383838377036646,20.068631372066676,18.91237312565644,22.298296594528313,22.545527968908324,24.662601162628764,28.44370682721237,25.281444643064297,29.70840219977908,28.558583950731546,31.63067787207446,25.878096148894645,23.519485968048176,19.644628092793948,17.828462945662224,15.89399591551886,19.409225618354036,17.84849372787214,22.268264829797292,24.21784404989742,23.238907150235605,27.141327737876225,28.26569248761548,25.550913752725897,27.559234373399963,28.18917695162368,28.21984767277138,30.917859853863998,32.70951305410806,37.21780963530664,39.09965248013536,39.17032006816655,38.0618901702636,34.84305244895169,34.44966789303445,33.54169462631182,31.634709800734868,28.093541715060784,30.57357795136497,25.571037573577698,29.875768773924452,27.271447598685892,22.42288952028614,25.067195515259773,24.258140733373676,21.914183042824604,19.397259498153684,21.739414292156873,21.805131240484588,27.004318013931254,30.014172433432517,32.70710031871198,35.624698505189635,35.41201155304321,40.25360908561942,37.39923653140659,38.179746367613454,33.84024603096904,32.612681671406946,34.13459638832978,34.63627300999414,31.622884744347754,34.15739064907129,33.7768854198146,36.2020043298242,31.95209031465259,33.77072651219274,32.730962899207306,31.61798416401533,30.124706195902,28.52159623445527,29.1478351957334,28.938342392278727,25.12870961216213,28.03010053680875,26.800514500400272,28.172088738708165,31.53143110413604,32.80229794936699,29.013286631374662,28.457680715228264,32.86117595253669,31.34253051516688,26.321144413712055,30.657012369740293,35.34956146371589,30.926429061222013,30.7759539725543,34.79016068897245,34.5932885550536,31.221702652052038,33.73912715592545,30.973693255608477,36.59264591919893,31.5523269236413,32.64251595339544,36.862142422781815,39.24078060491703,43.44352626550501,43.73851763496303,44.79508492980552,42.718234158605185,44.57361265208638,42.05662870487603,43.93746233902061,42.57350196030426,37.06992808750295,38.57604319360606,39.70709539932384,35.762304194645154,33.61112780838081,35.29775106944453,33.94356138202828,30.411036462085846,28.756182196461666,29.160291955759487,32.584795855276944,36.11448244983955,37.748822927265365,40.37333419798518,44.41908780287162,41.684749228028224,37.903391532940496,40.89779962808194,43.1583488306578,38.51994927774661,37.66299777021133,41.687737478716706,41.04717203399673,37.57463664802878,41.50051017455376,43.50212685642794,40.21307965406265,39.90552507111974,43.14066021917555,40.5234970242774,42.17766547434252,40.17579767679907,42.15044298275928,41.47589525899738,36.01583625321057,37.25647527175753,38.15334020854933,35.55311180622962,32.25661950544926,36.551971253516626,35.262764041704195,30.124932362548915,30.363510395901592,34.07050232651383,32.23561771822823,28.513213359188043,25.47894066752911,26.958579204044106,24.451635611248033,28.509579928343634,24.782789691086016,26.123201219679686,25.57360679810013,22.263850099278084,21.004258166998355,20.333273323918625,19.609308196378326,23.755765525097274,22.263951165396033,24.28737005011795,22.439515399845657,26.984447725875135,30.154155316915396,33.491251665248164,33.81113802317486,29.031001398468955,31.879928964007636,33.912225646896594,28.99302972187965,28.342566121874537,32.79052478291111,34.19198102525623,33.81097194829595,35.88167444377924,37.10411252639782],[25.19989506010662,22.20402181076344,18.98799062540079,16.638465961656415,16.329033951421543,20.966835846603185,21.2346843134728,25.55559597169637,26.40104027922099,25.758803591884693,29.34860172876949,32.24174774222028,29.084033938328915,28.00808419437895,32.879801018093424,33.136630765215656,29.54278320900236,32.969038669595854,32.87470785736449,34.62272824822296,36.75982362497432,38.93532957406434,39.2468634132146,36.9158126690222,34.66338022324699,32.017785824596565,30.35884408450871,28.369759088182622,31.44637642392185,32.77879935664524,37.85290292635995,37.31248690116485,41.747044973206286,44.19159550782487,40.689456094230685,37.706462825150076,36.53734243353373,34.294048434133586,32.05394344075975,35.87024964768508,31.974024793794136,35.16536055903997,38.93880119631517,37.44680938936698,38.08511621967876,36.49489947189853,40.72235281535438,40.69137307553869,36.4916015542404,40.302426713958454,43.2521068633741,43.8235137491643,45.5402884945704,41.213574360706616,46.026114310295654,48.13104073968721,44.35801908502829,44.84102999836281,49.53756542507043,48.39423214546879,45.25074584417013,48.07907719952746,47.216144653610165,48.00189752748119,44.72465708933666,41.91638842108608,40.13932733166667,38.61271504894873,36.32786986716921,36.14447494396754,35.05833437742143,38.00346756639827,39.89733144201528,41.428146403194255,41.439533536545575,47.45725152450828,44.652555934226335,48.25305916749715,45.97489678030111,45.51233495894228,43.54194038839027,41.077628367505284,40.28615850558918,38.31509343241765,34.67425370512363,35.82099363736585,38.00806177132467,40.65908901728913,40.58805546817508,45.45703048581844,43.69930840263934,47.43691329364313,45.01507548682462,43.77587038130508,39.34526567680186,41.06800954529268,37.03398306535807,38.82158122491111,36.61919865424062,38.958468990553776,37.9431328992813,36.46997831942828,36.08126684598504,33.504748070391884,33.61550613304176,29.2196617295206,30.784776715973134,27.789361807364575,24.81630628231646,27.083490045659534,23.675571214715358,23.003276513528196,22.5019390799628,20.497502151932544,23.022051241678483,20.752570559239008,24.24174862524237,22.332193872310206,28.101364248500023,28.901018872227652,26.48547563231647,24.889091072660012,20.307025361340045,19.249163380053538,18.99687898264986,16.632720852045335,18.982176696179085,18.82116681930514,20.295412779581618,24.146350889434842,20.29548142911815,24.579327706751332,23.837556687609393,27.247557129894062,21.694930617841308,19.853051441054014,15.15517293376754,14.778427662988166,14.214228763000651,18.066777513390832,18.118250605081172,22.667442389011534,24.488697612730725,22.776321105858788,26.354586371213944,27.30816740403426,24.429444976893787,25.984113337278583,25.86498039856441,26.055721518021038,28.00083966081552,30.350377821634833,34.38100737297291,36.67342586340311,37.176729887513524,35.817601727308926,32.866857099033965,31.790334639942166,31.464930085001182,28.65357488203623,25.390737318415223,28.705894752689524,23.793719522915747,28.014702934287058,25.104382679423953,20.46493524078542,22.093479946824164,21.5249564131966,18.378495793533457,16.384083532832314,18.221498104135414,18.97594579992507,24.111120128418897,27.12930634849848,30.08020705575686,32.77074225350724,33.21748228940195,37.663397393287134,34.88951592808358,35.15313988920849,30.848858054333363,29.036424477518242,30.278091515521158,30.819993598426013,28.16045704326423,31.511288262080694,31.83407914247443,34.20599209604124,30.451953526580375,31.455025242096262,30.015175145134123,28.555245001209876,26.42242653887966,24.31930859709892,24.449031493192535,23.74677709547621,19.764185698129992,22.405869157586334,20.956086805309113,22.6784604250484,25.746712410723305,27.362430099592032,23.760645390549307,22.81776758188194,27.273793026296385,26.215017431530807,21.217838261716864,25.296775146020313,30.197404135241236,26.313846157143214,26.075121587410955,30.033165371564888,30.283505479609406,27.237694919880195,29.470193114759475,26.46043456028242,31.82915950003456,26.518076888569052,27.309047919177594,31.515471562126525,33.58689141648694,37.92836545195523,37.962346897303895,38.91152141569209,36.73457669216475,38.54523043286133,36.10273893713518,37.894538426716366,36.48606565152339,31.027986935629702,32.564472452947044,33.64320125887362,29.667918692816418,27.55268194282882,29.352522879027212,27.9518835110834,24.35001185829608,22.859659853683905,23.14089181254329,26.861898326236645,30.28136951033492,31.948683502845167,34.74656005795233,38.802282423247966,36.34414328301761,32.51344931569456,35.35762577823586,37.894836712459536,33.46118885234302,32.390767740781456,36.59059790466603,36.24170678108319,32.70089688892132,36.36615805931333,38.647443593156986,35.716682228544364,35.057798788206334,38.07790206317767,35.26261815039244,36.67092460687417,34.577201708174876,36.33164083903718,35.796141510169825,30.428182405498067,31.385557652110887,32.272609950544656,29.814589069036145,26.339528217621424,30.529910708242905,29.436254205507854,24.318258737377352,24.322032476634366,28.13460664760615,26.547316802690997,22.830515183746968,20.001144223976535,21.789296139893082,19.727886536893102,23.73488230595228,20.26361908223705,21.177993042019764,21.23594847280206,18.238362086381283,16.28556631425427,15.215870903104948,14.00644116390547,18.02315973137256,16.97935471886114,18.83778608373304,17.711498518008767,22.33110266121311,25.569137161236693,28.80996513659928,29.7175708050807,25.002231919471722,27.710266738768397,30.277741707676046,25.813395646349267,24.853048931299842,29.29046411091737,31.272320616396723,31.284600683473652,33.36902505830398,34.653927164449904],[29.581817249976535,26.714288754754403,23.745563538559455,21.432247521831666,21.254338823607366,25.869695925565818,25.995305510294983,30.30022385933656,30.957601642711243,29.95710227588488,33.440667177491925,36.543665384277034,33.07978641112902,31.754886698223995,36.534325331367086,36.81469679622686,32.89822122564132,35.92057452351182,35.152108609321004,36.98504615195055,38.645514382638794,40.62713184328412,40.55545205917537,37.85709974089295,36.039478283973864,33.70435644083606,32.51006551655524,31.009692753391732,34.48427811025224,36.271002461468534,41.20438728405991,41.059247987722145,45.50961024013212,47.632284081069265,44.07736306226376,40.81285561495831,39.941022995738244,37.08455513781884,34.62497483955648,38.12311284484492,33.82191070839142,37.11306323684766,40.76112730660364,39.059868286836206,39.19801517653304,37.35991655630936,41.49139311405655,41.98157280247545,37.860168527690746,41.37383994140903,44.69682602160792,45.50603378805948,47.39690023684676,43.352348176229086,48.325634626208576,50.03231915209267,46.144617792408155,47.03956144012163,51.61569414963232,50.0072888181874,46.99902097112916,50.08650178204033,49.54655534496257,49.87118245950109,46.48520917908495,44.06178473227333,42.2016493106236,41.13515698815818,38.647304372405856,38.904895330331996,37.54316963926737,40.31622128437922,42.48658545071177,43.685750817475906,44.151565197551086,50.050975793277196,47.21958674052302,51.062432558139655,48.73977186931088,48.050867477547236,46.41118451828289,43.723275418900656,43.389343093085834,41.15672419144787,37.339137632106564,38.78978804305168,40.69977187594474,43.79569221572557,43.407193252433295,48.584022974421416,46.73571226851088,50.413018026297,48.21959777044335,47.27302734309441,42.953346613903136,44.72315334405523,40.77429195129594,42.7927992245768,40.81448880292431,43.43841807814321,42.109311163980706,40.87064881571356,40.09912759488321,37.7276055080996,37.449651362230334,33.32077572858837,34.84123804676014,31.627362372624525,28.99702641632208,31.46752853567178,28.287044717761695,27.34975041226564,27.004766668650106,24.59980987591977,26.827984590889162,24.121132615037734,27.18430500873746,24.629721195822377,30.082906505880732,31.582874881501215,29.17533893980028,28.059010106879462,23.330895650666072,22.883558477398907,23.20775177602645,20.847145904206272,23.718166471101224,23.216018376268455,24.531454769976772,27.967958458482023,23.90682902874532,27.92198347328112,26.67419800914503,30.45415459269682,24.734010165759376,23.31075555659353,18.594002136695778,18.17930228000796,17.353039019069964,20.838256413708546,19.73975671318032,23.81794736114388,26.32670984159904,25.163868714801442,28.734255507856382,30.27975404223292,27.636367212165027,29.707354159444346,29.92019845876342,30.43855739017313,32.60518645389548,35.045374565422584,39.13185724283336,41.50495319060962,41.85689576871436,40.39889794050577,37.28771101349968,36.243289145153575,35.59242538910878,32.79433078246456,29.043834924936583,31.993669615058906,26.655716389362794,30.628045493495186,27.13633442152436,22.096901715559824,23.780282030818896,22.30518026206063,19.60034352576771,18.111068429969876,20.530606527124387,21.681934500585232,26.853539869511426,30.181233408098883,33.321247867532044,36.336077720875466,36.864554115744674,41.22070908459863,38.04571502867754,38.40507406212529,33.67545379560363,32.499833770017965,33.137566620111464,33.2043052396237,30.52373890566886,33.53475150344114,33.868421407325776,35.64680162797705,31.355774556950234,32.50049426031154,30.89173782104991,30.0287989491451,27.87079367565895,26.15737440156381,26.495948999364344,25.817748331925362,22.36069284789818,25.377123218684464,24.367884544071327,26.620302828864812,29.52056147754818,31.554038443716756,28.144143830984724,26.92516370900901,31.394437717422043,30.728658882304114,25.670138266641068,29.45140872642157,34.57866416741283,30.897687456726466,30.40608483417646,34.30983256161716,34.84906669571592,31.65070436638271,33.565596452509006,30.427608788549982,35.69332716955566,29.78047141955126,30.919189679781734,35.11123351252226,36.79208762443499,41.04705985072641,40.90801276128139,42.1573376968353,39.930533641445166,41.69926113791021,39.48663024948348,40.81285701016376,39.247121515826606,34.183097559247315,35.56986248055482,36.0280435769837,32.148607954109764,30.29574480327596,31.691485726805563,29.767107733737834,26.529708168206277,25.200398040305476,26.285986332731742,30.151986916267713,33.46975672874965,35.57492693753515,38.43079771734449,42.65866789213059,40.35469170558279,36.54826935778722,39.4416504842567,42.193601277483886,37.91000163916823,36.77522390251598,41.0774207554066,40.88481454830365,37.30062463334944,40.766902187423995,43.19125241684957,40.3749508107178,39.46910949139303,42.344279339887,39.39217510662663,40.701723243210914,38.622404549857485,40.0270543104712,39.499824539965374,34.35523490404234,35.00097807935758,35.5786913199118,33.261226198839886,29.766629479171446,33.37360629325665,32.12398559713986,27.35047959011918,27.03407890061735,30.272828166727788,28.635281909012306,25.2030090874074,22.944428209244826,23.74290032213892,22.032192212155604,26.49936703659969,23.646502779025802,25.068316429539543,25.577554681852835,22.180309050173083,20.282719066806102,18.606893256601445,17.747420793978048,21.888456200692968,21.48515742908946,23.038271614652565,22.270598634274997,27.094807829154156,30.27661106373392,33.51085931194763,34.52173477170598,29.882588718750245,32.56631329572808,35.208016346512856,30.751420374207758,29.730205457997492,34.1415539626631,36.16149940846986,36.156590181352755,38.23967318307226,39.505378545805584],[33.210448398786276,30.41931663257252,27.514695741247372,24.40822934247806,24.302391056357894,28.182998912499176,27.63996792940657,31.879776237967814,31.83015886882657,30.073488848560846,33.24531744664204,36.75913818562669,32.92942044637008,31.021215491126416,35.61212544074838,36.0961115421061,31.84977073296916,34.31390889274985,32.792362214823555,35.01870772809623,36.132125267483154,38.23207352926529,37.66566425476368,34.74656611301673,33.4770876927277,31.150552415337124,30.642749414570016,29.482823907449777,33.298028548116775,35.66847834787286,39.9970316369676,40.654724141839466,44.987935646505875,46.68759647052164,43.28945367994703,39.689020883131064,39.48660181034967,36.05412603693587,33.66630793822841,37.38016139251335,32.46876356149763,35.292650816274545,39.021785274753725,37.48515213284315,37.25967607324909,35.63183111906157,39.688655047926765,40.38273949831219,36.68073644810966,40.34989727233972,43.70352177393864,44.917356699599054,46.617333519049176,42.69065505223674,47.59808506923752,48.87612456924741,44.69864596095131,45.704947309577065,50.16561938652863,48.20353617659756,44.964670719724225,47.97387423273816,47.58888969432647,47.32552296930559,44.042601640014375,41.99323846377451,39.65547321967819,39.00752597957519,36.09324029472806,36.739721178337604,34.99937018929168,37.46199904380426,40.00993867531687,40.955247978566454,42.04249142312231,47.84324190474688,45.28040018881852,49.397068582143426,47.293879397241014,46.65970531402494,45.60363804929988,43.08261844348873,43.39727753080932,41.30608242476704,37.2116088934315,38.45784402449928,39.707123131758436,43.19023742702721,42.069090870728274,47.41667003624524,45.2217685639331,48.62383784778029,46.65679197089959,46.11937090828797,41.96002159443148,43.651304473095394,39.85599907628483,42.41969440078776,40.89648506784771,44.164541062219435,42.485387348417575,42.059314883287115,40.80000416099731,39.218125568301154,39.091615875801686,35.37136651772553,37.50635221400351,34.51809373174542,32.15591986088258,34.15805425770953,30.950263785231606,29.17640339931599,28.39191416690583,25.384943166171034,26.65287253881604,23.442243719022585,25.84677656548499,22.639866111063586,27.45285463095583,29.6265012701546,27.132222766581513,26.628007316138014,21.892586221140206,22.36143577554723,23.628277228720027,21.894247462913853,25.890911504376298,25.380557259934704,27.187555399906856,30.34353743897265,27.006541415785026,31.127756797458485,29.311966103645624,32.72544009081596,26.810464089136502,24.98810297766781,21.145891992684422,19.412945658125047,17.5245607791918,20.47724037762979,17.887919969332756,21.561464642045248,24.335306546939254,23.910478129456706,27.61658013333703,29.510674602811992,27.148132748280197,29.77914961808942,30.7098567985346,31.398512925700956,34.27184265556602,36.474404766099774,40.91693744872165,43.23756569454478,43.037489861965156,41.552882130574744,38.109848118692554,37.54146892933556,36.20917354132668,34.10268775112096,29.891146612980112,31.98832212670349,26.49011497047852,30.37527274697292,27.058763682800453,21.882909846782038,24.498635943673303,22.82157255095589,21.04977846732365,19.03974963777952,21.916546855880494,22.445211953549578,27.57913749771029,30.936225548146965,33.8828019106288,37.197157240658285,37.233234497105855,41.82396957486252,38.43347787909889,39.2784088407909,34.42698366750513,33.99909496221999,34.75326963538166,34.709511102117055,31.68205123639559,33.806002626015065,33.49276902184026,35.20926642559983,30.45975960576038,32.382762368425,31.214167975698256,30.720474147351542,29.29840497084664,28.175821019003376,29.109037840720372,29.109446842353698,25.894925296185615,29.26998562991836,28.720076500564094,30.554552160292133,33.98323345301027,35.67108338695714,32.09580479965932,31.523552830844267,36.022237602416,34.97420498932797,30.15307565332845,34.270047424074974,39.12237652010096,35.158169445227365,34.985731713995825,38.9632964851924,39.04671480045458,35.85354793684679,38.17288415037619,35.21875545842084,40.66073208418859,35.11653137579765,36.160927108836745,40.37050699795763,42.23628566953721,46.52930550385973,46.42630988183065,47.47522602912232,45.14302031502171,46.750766871556024,44.247789518300266,45.62882384389339,44.36292008120131,39.16323635256392,40.276151171957515,40.92620237680737,37.26051291771296,35.130174378078806,36.23523922153156,34.753880149352405,31.67845110232965,29.668860680925164,31.038822267840473,34.24342398288961,37.75780697805811,39.997559351585885,42.51447253935522,46.878694401065744,44.14953392278743,40.433463861182396,43.757928384873765,46.202741132157826,41.70818958390217,41.010109166030276,45.26222754750771,44.84627115135902,41.45995469676208,45.24716420362277,47.48484977685864,44.47334960980763,43.99455821922579,47.05322035453604,44.24367404577253,45.57228257526815,43.339662076337824,44.981187065780304,44.63132356359006,39.32546474868876,40.00589608658999,40.87542132207089,38.56131913695472,34.9471191163769,38.73750287873102,37.68960679595308,32.818418243701174,32.404121118341365,35.814150453998586,34.311497467817276,30.84835103052625,28.452818227829496,29.417192181365504,27.517117816599622,31.904779346548224,28.711487833476344,30.040187338306122,29.98937654001774,26.702369003500163,25.073726247359804,23.84389158110274,22.870413405285504,26.87903169712153,25.689753639677907,27.053888454420953,25.55523100593093,30.785576416853793,33.68056738131706,37.137289085819695,37.53602578775755,32.98684192875294,36.11047240008733,38.26525999762916,33.32134831853683,32.9884644491887,37.46464818897997,38.95277260385874,38.588644778155,40.55437911118962,41.66344868540786],[29.94417911979132,26.871914786632775,23.22654754849797,20.42160536359639,19.13232925997128,23.39581518972988,22.542064151912566,26.588144603817224,27.077425708353022,25.374645279169957,28.75991493246988,31.930185780020512,27.92684419472305,26.673976751603796,31.189211198914787,31.30117133968448,27.15163317809161,29.93237957881778,28.99827143741095,30.7443479268756,32.37881476183557,34.36231492337078,34.344520457886325,31.73769126236596,29.81317875910378,27.439620764358995,26.244191893831985,24.846743564708657,28.46029034866241,30.503311420715704,35.401443583834464,35.475259563399796,39.93127866958541,41.78701363555896,38.19886412632103,34.7894358034997,34.1216288223812,30.98944528642376,28.543083625464998,32.22446054393876,27.752202339054133,30.881096206321576,34.59710622766553,33.034461055961906,33.28373426916788,31.70189687355326,35.890582269480795,36.13567688290198,32.16888390179187,36.00020236887644,39.10450103409117,40.0323773872983,41.711619415050215,37.58946147165135,42.47985920054492,44.127610773170964,40.137880649093965,40.936279707544244,45.51637522160025,43.939044490017814,40.79727744088078,43.821992758465306,43.28628984250247,43.595519438369614,40.21561937575071,37.78791403411594,35.96847544001725,34.97686593503887,32.611610007107004,33.0737532326961,31.791042722189914,34.716327420454746,36.687504688508355,37.67229102868557,38.10847442585045,43.91741746589914,41.008000458475266,44.902938726543006,42.57355916486688,41.877718607350204,40.400240512221345,37.79727691400284,37.729002647594235,35.61807066866669,31.65411730003919,32.94936914329426,34.61871864873335,37.86522101066272,37.266046326968585,42.548538030761776,40.69164511570057,44.395823951055,42.355356068509806,41.579989074488765,37.40209477078334,39.36325253080013,35.58836067633531,37.53614777104613,35.82698761610359,38.857118967473,36.98418489821423,36.2271442332558,34.945562107059985,33.131384615068,32.87798312942937,29.140238358525092,31.278984483964734,28.33182867737721,26.05941433438356,28.022175911276666,24.98071226604756,23.101179877851376,22.69064347608812,19.646274838316348,21.498843445858647,18.458889932793095,21.229296803639716,18.50028826783652,23.971380128078668,25.60748278510704,23.405995034539615,22.551851435119588,17.854649012719896,17.730753689207106,18.691869283735993,16.18060514332632,20.222136745528527,19.307532060200653,21.02885572953924,24.094930660887247,20.928121665659805,25.13338826846626,23.36702251649986,26.588495284374655,20.691189266816888,18.755501900203427,14.97931847826548,13.21390120846295,11.703447695495067,14.904883498550861,13.472012103541418,17.639622007733884,20.05115215140878,18.975019040869537,22.590221044286086,24.271754263858217,21.766322797862586,24.209943617168154,24.864208859769576,25.79243475569822,28.488770418910732,31.0614639913495,35.30862178744342,38.03831119075278,37.81721461702949,36.037306923840276,32.61649158016831,31.727543558435823,30.505258245416872,28.04656846701081,23.851688254939717,26.294826850989985,20.844568308216644,24.837204818196483,21.630606365537396,16.607032903782816,19.06432368104724,18.066691587881163,15.875613150477403,13.428196393204487,16.030436781440446,16.46044740944277,21.657918078751152,24.953166888058927,27.943965681828086,31.158463540620723,31.412481453474605,35.887764713776875,32.584224087517235,33.268308045308984,28.53040905972903,27.814850086148926,28.738251780677736,28.928235709145376,25.905300339251056,28.370008097333493,28.238799905605305,30.33073599238424,26.049255365834693,27.66925877148957,26.550050714288606,25.536954458643713,24.087024988143643,22.70923663712756,23.609863123346052,23.795070558752528,20.362796468284532,23.716739837476066,23.322829613687045,24.792897727017614,28.57678165312,30.03523628235411,26.45991292489986,26.405127113561186,30.900413048138454,29.782829367175555,25.47841614519312,29.719604956144458,34.26716471311658,30.609248677677414,30.86231242566001,34.80338121018469,34.72675679737398,32.083988143713405,34.667167069582796,31.75976291614022,37.05748479512491,32.012131170935895,32.38725136215624,36.5321574274032,38.39945481138982,42.91611741738045,42.61578519991408,43.11803254595125,40.57894105321875,41.943596084165335,39.07803380585562,40.656612907303234,39.78773542985673,34.317286975157096,35.1937349915887,36.338200035795545,32.86040630615115,30.315154747135452,31.40130542674416,30.674720093051587,27.545410996580358,24.80866110315799,26.03204575331808,28.649082126725652,32.302545035296426,34.513554924979864,36.77620021316193,41.19693825573035,38.231298650783245,34.58026558591552,38.196405770597075,40.47259174852034,35.9417015626228,35.569629532482296,39.87359980938081,39.47181423167202,36.31797123833069,40.22603556927994,42.48270520692338,39.659203869461166,39.40591873250029,42.45401202296894,39.67977169699098,40.75245036578818,38.23320391361587,40.049500823978974,40.096220803785066,34.67499260781708,35.17463056745615,36.537684032068206,34.377060075353725,30.45364315156393,34.55383739811685,34.09218865310232,29.0472115244349,28.34329611950411,32.323856543998325,31.33584813853839,27.76106397551573,25.2868441562343,27.195205354073718,25.508011182883042,29.47769542540474,25.996914270165465,26.4480471131285,26.235176296819102,23.737652266697214,21.674933845199497,20.792417260484008,19.01880858212882,22.433879368922465,20.535359206798198,21.445216885938986,19.73491800711049,25.44004602464061,27.98788077625203,31.566672464195154,31.86164708987916,27.539050580832548,31.03113091470458,33.16259360150392,28.211848386968985,28.44122472945794,32.92741238644522,34.42793393534491,34.12255868786514,35.95212805991226,36.95023199752318],[31.02756799270996,27.876302569837538,24.034614247648975,21.922194659657922,20.18034298676994,25.099494852793107,24.464475688858446,28.40118465347823,29.410496189511083,27.922514835853583,31.42168224197652,34.33520974034867,30.264208215200007,29.444704342468192,33.849294780919124,33.69566964550497,29.566206617661,32.3332064347627,31.412889711747237,32.75293017545243,34.38252411156581,35.980526115747374,36.0723511916324,33.371453577467165,31.37130837136282,29.395204054176755,28.03084783041044,26.904668471961003,30.527539650349354,32.48316005787213,37.76666349576076,37.49505805448904,42.02987980472533,43.85024213635996,40.074594857487256,36.71670157066923,35.74742493995133,32.51872220338313,29.81586815986309,32.89843079865836,28.666866681727726,32.26754360949352,35.70521323833315,33.81816660966311,33.93376490570411,31.983843988608015,36.101163485825104,36.60569025162663,32.41015397259533,35.82354240340351,39.176209479630884,39.97802910063951,41.9389484890575,38.018241841644326,43.05800367579991,44.67860557580462,40.87288027921773,41.95521797805292,46.469522497714735,44.78286578744232,42.01670311425233,45.34191045006031,45.00874443756265,45.41092028319688,41.85492578607521,39.500695566802456,38.14096524679604,37.27135036143211,35.23053882029225,35.84477483240836,34.71540060359528,37.768733869700085,39.53563414276377,40.31265708822766,40.58132592850362,46.2370843155596,43.024809993148345,46.86630050101784,44.28389930399469,43.28766112089681,41.64208599567298,38.6891739341762,38.53630148816769,36.069839788507835,32.21516204174332,33.97834719712754,35.927155099927596,39.25399174985293,39.01310420194818,44.4155379347067,42.85003265772341,46.73891436423896,44.8016450567087,43.99454521299461,39.88771812674483,42.03488952713817,38.31958863392583,39.870559365225105,38.048216655342735,40.82101115794121,38.7798085365259,37.601466508587365,36.241843367644954,34.038686587756025,33.21940891645869,29.519497095170237,31.184655985073213,27.896628719661937,25.84938876709967,28.310442862878062,25.616603344014976,24.048675742958054,24.291308285641357,21.363396143005755,23.788818287177644,20.86753164273607,23.65143573001042,21.001275228901253,26.527091352454573,28.222414140415538,26.285807807700948,25.434527062312632,20.836496055862984,20.474092610535806,21.149271663352465,17.962450591038564,21.527767361712716,20.124675174976268,21.24285844957928,24.003217798765675,20.213489369998392,24.083133111733595,22.20071240706463,25.94074080753704,20.091836330395896,18.909809601875505,14.55631507739969,13.951557810640853,13.387365974050944,16.411393009806865,15.3808023424016,19.1169078499244,21.874000264972704,20.704082138023935,23.995365551856864,25.94441472083602,23.5370236489707,25.96945630902946,26.32505525289389,27.554012284313263,29.86195753138158,32.82181699138956,36.76514832175796,39.78082291257708,39.746277556642745,37.765533802832664,34.44632095346768,33.14262856018166,32.10765166176812,29.07372266292324,24.78357760745427,27.52170310879939,21.92020990567075,25.596787735777855,21.754324568361863,16.645540016718698,18.293600256995127,16.729879318762038,14.254501843307338,12.707615481896855,15.377081145766361,16.6985078382791,21.78732252924719,25.289465738171483,28.57671811709432,31.8359609263307,32.603398747767876,36.7061464290446,33.19654179101262,33.58081440546231,28.584654908715894,27.933128113624555,28.189445380842727,28.042808105858683,25.27202138739569,28.067104355056205,28.464428969314213,30.054830662377682,25.756960886058366,26.86432942433228,25.316677708761688,24.507886124729062,22.558319979064912,21.118173899190854,21.834338153010187,21.716259406745802,18.579852249929843,22.0712760063978,21.913321079762675,23.990137922740484,27.470279368118938,29.4388726913642,26.147959165052015,25.680848548949168,30.19396977756895,29.64678788326367,25.376025002209584,29.230876419574376,34.018068478989214,30.862709548555877,30.911415897682033,34.75901423553611,35.1350001861559,32.61677761499417,34.82492555894026,31.71070692294016,36.757439644388995,31.221341717774415,31.59040425494974,35.69042173204926,37.09430649876727,41.64212077439767,41.042008900736555,41.63280517610501,38.97910974522569,40.25491141995453,37.56988254284616,38.76343189652066,37.79974907028488,32.62804235443973,33.37703049822762,34.07596993066597,30.686922913280654,28.305944431731735,29.137441765399437,28.094138577820164,25.20921383926095,22.56659730806287,24.343459304353686,27.18555824718793,30.6985040966963,33.2605135839499,35.650886771787924,40.20127475610925,37.51721642406919,33.86718722637159,37.432356068990174,40.02203029849379,35.74341958549611,35.207936652080186,39.6805236679864,39.571983471308656,36.36782099628424,39.96802074001185,42.48828060471934,39.97923221324333,39.35578123467656,42.16393658351981,39.187274140085606,40.019315206758584,37.43890220457834,38.87734195395132,39.05244391225179,33.85393980297569,33.93489779117388,35.11760335221106,33.170067299464,29.10286433104612,32.732606387196206,32.35982403904139,27.579133855898007,26.450540662204837,30.139913594490558,29.3570146731494,26.001939513008306,24.06829102046687,25.58726189079185,24.444357822177725,28.59386387170934,25.665672461655706,26.12730075323314,26.555804418636082,24.04187138385736,21.62131539994271,20.16110098933591,18.269011288177932,21.576723435359014,20.379226765877174,20.909416751585987,19.96681525990499,25.807103749145934,28.32976341452225,31.818209104080896,32.55913063339916,28.365864120870416,31.72404491901113,34.22627981103117,29.607091463512766,29.58599248064995,34.018335487859936,35.89140964405817,35.81896469802149,37.652048696490304,38.67834534875799],[34.77135373665467,31.677431047889748,27.9539647722026,25.611412092495144,24.006050211905812,28.692471378976162,27.805540633785668,31.693844100315598,32.40992232641553,30.51323785401922,33.84434558958971,36.96075694975288,32.60990707432002,31.523639855296594,35.759557894106706,35.64580063201138,31.255474065690482,33.56349887729177,31.994070087629552,33.432769132647024,34.567872095760485,36.00753566395182,35.71181587625025,32.709937898701774,31.170022638981287,29.48078613329084,28.63145667760215,27.98179084076085,31.91977840077944,34.31716149927665,39.32311013453198,39.513003490804316,44.00034379754659,45.46570617749043,41.70754043952139,38.09432869918868,37.50776529848904,33.72251013266744,30.910411778817828,33.770657388984844,29.13403100335119,32.650819203568105,35.96992474760924,33.98442013132642,33.63437021517805,31.575279659157633,35.56747977678521,36.50064877726969,32.51816562273638,35.731109575039405,39.33033871567401,40.41514211499673,42.427725198762396,38.77463192021309,43.8708052575884,45.07575068886736,41.136899714662675,42.543312037155424,46.90809148442106,44.80333518951607,42.10439743574042,45.5897117245877,45.540365378613345,45.47437910122836,41.87489060065133,39.91098543261295,38.42721849153134,38.007273572943475,35.78352326424471,36.819367801378576,35.44838400779419,38.31671526586199,40.30125070694029,40.743036784353606,41.451130056098634,46.94237575528889,43.76601711672039,47.819732954001594,45.26005214000831,44.10766025137217,42.86104433630173,39.81277952885302,40.16988137669931,37.585220508971005,33.57097351127901,35.470867280313435,37.02348090348236,40.74296351976237,40.09858473522633,45.73134275587589,44.04625895039318,47.81837797054664,46.124213223716694,45.63012619366096,41.67822207389109,43.85207267828632,40.26951940676262,42.06366891455727,40.522145112498826,43.63796586682645,41.280642724690765,40.48835894825213,38.73732725829725,36.92110492405756,35.905907964649025,32.54958639443215,34.36939692570136,31.07155382718248,29.336573945700213,31.727273781040164,29.177158390304943,27.22850239054726,27.423053870099164,24.140249983107744,26.085959336597412,22.81462531223215,25.079846076750663,21.885377325244733,26.92382464505602,29.25581911903689,27.374086215733602,27.01453117156364,22.41937629225002,22.66003013996271,23.897041646853214,20.945384336932786,25.03715092573518,23.499742678273194,24.67312574214661,27.062247915201034,23.486438477685283,27.148707233896975,24.80821982777252,28.55530747321404,22.68442713714727,21.656020450979035,17.762599908237107,16.723028640239885,15.696035744823773,18.17069919267349,15.951146204390158,19.04080261100497,22.33789320057169,21.792258962718837,25.018430063252264,27.454054992123467,25.3392405199494,28.225459466756135,28.988222275728546,30.45822727900389,33.07876225830498,36.01551952774513,40.070520527356,43.13391335837698,42.838166884198884,40.77615031905438,37.27831112892167,36.12998345694266,34.698834154030024,31.903215530117603,27.232497671519994,29.425835078547713,23.603280378662696,26.989359248926288,22.871664598631103,17.595928952464295,19.549241976337974,17.294823595626326,15.65446545895754,14.367860043468124,17.44977094529986,18.75017280893001,23.668502332856658,27.30307946388212,30.595607857360374,34.11707746467936,34.78742173772601,38.84848962457511,35.0370970285429,35.6316413540841,30.38157128877553,30.408460163591396,30.308254514721206,29.81161200536853,26.95781638635456,29.15719285380406,29.348228076245398,30.46741788963504,25.69092182218706,27.144856915832836,25.660581271360204,25.426553965325102,23.786377073600814,22.88425589067732,23.949582465940793,24.119699638528047,21.49237704661933,25.217317002290386,25.45298919787284,27.630018912003845,31.151028880293815,33.20631503211904,29.987377906013947,29.58424208735729,34.08736568722982,33.61913077667502,29.38964550407767,33.20448414819725,38.01135564125935,34.87306720611297,34.8975310754685,38.74853806156165,39.12895373632469,36.53861049945644,38.726524953284446,35.59470299335276,40.65393037147989,34.93494439531374,35.432856897318274,39.52869607861078,40.783636548320146,45.29684095015781,44.601172293232025,45.259378360921545,42.537298528984664,43.712393268379735,41.05685916380321,41.99593148866854,41.0762235332796,36.110631053487616,36.66221096062536,37.08068781863603,33.87013379763917,31.553533394327545,32.03356169134676,30.89422912696982,28.318016074723158,25.558984076673262,27.83412388044183,30.47935144549271,33.95715522843138,36.79075920566297,39.06872518090835,43.739149452602604,41.00763641236762,37.43211852409146,41.15659710368271,43.74821104999642,39.50544872904997,39.08751336422287,43.58888553602466,43.497329983107576,40.34552726976157,43.93927072519827,46.47852309672342,43.98115131466779,43.36648990548864,46.153162249137,43.149720844982646,43.92056369256493,41.29204540005616,42.61506302132933,42.8729389344942,37.75108249481335,37.67171214168966,38.79502918377012,36.936142853902645,32.83221127984819,36.1979477045895,35.834014253952034,31.21806135802898,29.902820850735022,33.32707746191484,32.59103593410084,29.38972486717686,27.687458607712763,28.7977709027636,27.76269714939499,32.10015759112132,29.338420308019085,30.010432180648728,30.477517138663323,27.78760453289275,25.464987173933416,23.873302441497202,22.140057948511778,25.492217557047802,24.3730453097894,24.739920921957374,23.75351819844511,29.743611242742155,32.145805094543526,35.68446205305033,36.286337566994575,32.1769564447197,35.650816070021556,38.044857065642105,33.28870492787867,33.43910644213164,37.889062441482196,39.63025755545869,39.444987166144635,41.23778207424159,42.20274170269464],[34.221009310485826,31.09703451449972,27.185049213240543,24.398684323878104,22.4546043106954,26.584266708144863,25.11124539759295,28.80680403325431,29.21899057367673,26.871887487442205,30.0425183305185,33.25132537303113,28.66546028533156,27.47596208107234,31.536037258000913,31.4236302904253,26.923104163903307,29.060760044134938,27.386740518179344,28.929998894977718,30.061418585382345,31.678952236373085,31.38739745402973,28.49193837960408,26.886172431549845,24.988268867631053,24.20563113776279,23.52666957830108,27.535570886166276,30.114429098957512,34.91350216796402,35.367974651231975,39.80000629126894,41.12804839974713,37.44339357332228,33.73948825587959,33.400933057319875,29.507284528937976,26.82019396199449,30.069742952800222,25.217018797639188,28.426195945767738,31.927103683167978,30.18127865925651,29.99154402856139,28.278983175177757,32.36852386077858,32.986783797864604,29.192793317724508,32.83909704436656,36.16077789253651,37.36024118598742,39.10011473932292,35.27954388909965,40.25392350825024,41.465204051088335,37.377801795691944,38.57152917808581,42.98391739310131,40.97882633867856,38.00836706548968,41.31037354896802,41.153829387624455,41.06574085302654,37.54645989549032,35.523256184151336,33.869990316319736,33.43078794296561,31.162210258972557,32.25494409399911,30.88548593133573,33.79043790132022,35.71580655968818,36.12052862528892,36.86074498363015,42.35957821096924,39.26783448858607,43.36220643975203,40.91228895790697,39.900013543933625,38.809580250270905,35.98118718109028,36.51670440159987,34.18160785908512,30.040986750794424,31.624174085332605,32.90976036103591,36.666915279867915,35.75127203555659,41.37646674755256,39.56875146538118,43.27455341118874,41.621983002425445,41.233257818200705,37.35264882447922,39.55044493159286,36.07100585430446,37.962266354032714,36.63108007865639,40.050605143335375,37.477618008584706,37.13881068708668,35.14828163952302,33.830944844350924,33.09437841104747,29.97061251187424,32.32785744156209,29.372204669294696,27.74640693891295,29.605571317438848,27.02614575282898,24.45791829337591,24.362194871903633,20.72443959398859,22.16418382578036,18.69107891947255,20.673047002227353,17.328703951317696,22.301600961688987,24.706164336729906,22.88554122590146,22.72278092370302,18.22243812328929,18.793020445674184,20.51037078992955,17.810890170325827,22.62300507385073,21.073239212858102,22.680215458579344,24.940431876395472,22.20750260956182,26.074747455367472,23.55236536001451,26.680815811319775,20.76453633248015,19.12644733669737,16.16110616823424,13.886207772294947,12.105375306528188,14.235885996091843,11.4737989129873,14.73492230737921,17.880333485718307,17.475924511758002,20.842178333291965,23.26684113183716,21.238571106638584,24.3482462234273,25.496542190886345,27.075189171220003,30.111505272412224,32.92516133319586,37.14216901093785,40.24929000663271,39.57039554549429,37.43263842082802,33.756646748042336,32.87819754821343,31.056091943589077,28.729299932235175,23.887675836708986,25.61019560085938,19.819986343471708,23.321109788358697,19.686945484598322,14.47274093161184,17.338049063163453,15.740096709841005,14.583444744697553,12.241752849524005,15.364204590387402,15.784089680956635,20.69042941102672,24.1815056741988,27.225451066481174,30.820663704688222,31.0991373853421,35.37200047445146,31.60304734543617,32.52211174829104,27.421344992831294,27.68300904374756,28.075428076368848,27.838478359964892,24.6740506323072,26.38396655273876,26.029683720452308,27.617694066670584,22.877512225683084,24.88907289541004,23.947247213555443,23.46620284972586,22.523622361857853,21.831156536975367,23.284607223234783,24.07533176900323,21.3118721110833,25.06669558340931,25.4719620213388,26.920314443692327,30.989673317558868,32.47929091926099,29.0831519184035,29.45667678996572,33.91454686348535,32.955906700046505,29.135772858321722,33.30665559083288,37.67245738710131,34.346287494881096,34.82667497722663,38.7069538072784,38.57481077042611,36.23010648849648,38.89456779507918,35.99022685771001,41.15194779326666,36.12535547703115,36.25171063620101,40.32694778015201,41.91449332069713,46.52866890151135,45.92145451600504,46.154890101000916,43.35402025145365,44.37770866352443,41.30691897501592,42.59657173392176,42.08011958492423,36.75863570994442,37.135154142466455,38.168279379371796,35.10745412744624,32.36896570615596,32.86429588697968,32.52005477414697,29.841591989135825,26.38111798081639,28.359595233058013,30.242210475886328,33.93582769185792,36.600796607812796,38.49807955108463,43.165911741567975,39.967591582195986,36.496287766421204,40.583317567507095,42.757722580561925,38.29613409313578,38.34723206955464,42.733632105216664,42.39699921268993,39.51126352975918,43.4470079752167,45.75924024605182,43.12896436437217,43.018408962133186,45.99060496694521,43.19176926218578,43.961533805468996,41.1605722071264,42.88104652661929,43.35274318083995,38.00656854044109,38.07607202867155,39.677759941028356,37.78808097559125,33.57840473072777,37.432287993588325,37.40262511007743,32.52373850661572,31.27533423421815,35.222317927223145,34.676927557995086,31.282529719072198,29.18445938386513,31.036843817388572,29.71636441220539,33.711328106640586,30.393712040425978,30.596715481761372,30.43342202011211,28.207554206779506,25.98827236064383,25.032425968146505,22.967873453280426,25.9905118714325,23.866999165694235,24.075018218005376,22.305208910722733,28.559766934061148,30.609079989608823,34.317678825795795,34.345946342087146,30.406991313062594,34.30095772492184,36.2475638927249,31.168056584654266,32.05932095682693,36.50852311295181,37.811419468114245,37.38190817270356,39.01917961116703,39.8238614490296],[32.29181257924482,29.012457494955534,24.645690787919463,22.58104449521206,19.70959266083739,24.470003581542617,23.09272815428124,26.582667441951894,27.74953373749285,25.788442692551307,29.188162145701284,31.92852904685176,27.37332094248174,26.96075424958581,30.94783324888008,30.444005843186275,26.176456381546775,28.67150040384019,27.654297285052838,28.580860932833062,30.21098675988057,31.539338574920507,31.80295979280615,29.18130191291843,26.976982750306522,25.24628786362152,23.71577765261499,22.88865110549112,26.595702947967432,28.70407172225089,34.18037936484931,33.86632373706119,38.42231270826835,39.96716148804034,36.05555233739167,32.62642931233259,31.6391670027696,28.11108803649379,25.25650161866227,28.109487647279312,23.906444031357807,27.67778880037885,30.988923588640034,29.028596014198605,29.207663646582365,27.28527681884198,31.427335532401123,31.810964920191203,27.60722488866321,31.093851305668718,34.361986901652,35.18094416181506,37.10038370702651,33.20815765169708,38.262330483783366,39.83308692271191,36.05446882137781,37.20306648754399,41.68380375255927,39.99561129529367,37.34038941099098,40.78207432093356,40.563710595863334,41.0539719019538,37.40058350862556,35.065373697006336,34.08535750353823,33.34530454579713,31.69295312186794,32.576032294834334,31.667375781863083,34.92840939243798,36.32256227632121,36.769506669033014,36.85531200367276,42.29468280396521,38.81637120568299,42.64039484983578,39.891701606041536,38.702952290736604,37.083339434357754,33.99551269294944,34.02553434417508,31.460234485399624,27.544896289682985,29.456714405261746,31.367870399837127,34.86592530144777,34.684899379510036,40.232079728368994,38.8693709512885,42.89219728648049,41.166281635035546,40.48940964749846,36.59411260547079,39.02470545463031,35.551192059854905,36.73962366776709,35.110739303157224,38.060459018086036,35.41932910404704,34.43769812216588,32.54693926637521,30.659665894179557,29.51147521188191,26.274494356663855,28.242649855402174,25.06972550533411,23.574940392187578,25.774482626473688,23.511854975208493,21.234049439194663,21.86210394968532,18.457980422857933,20.851265867434748,17.786516013320256,20.19637765412405,17.54253596880694,23.021572898471984,24.815577294458222,23.33586758488155,22.74696699367282,18.442910413996035,18.21589687342751,19.27060855936771,15.586835456626797,19.829930071902943,17.723126362779382,18.803636190556652,20.869443942289898,17.753851640772787,21.49005332842891,19.01751180309026,22.41232908000254,16.50004375706591,15.313493168050078,11.863227478558269,10.570690418845853,10.086970663669543,12.389918870631686,11.45978017491031,14.837975553137683,17.673745445125725,16.49307210535051,19.51704851069561,21.779378472912082,19.627986645692623,22.39231054816107,22.97739074028622,24.811354779301176,27.327479531561252,30.60885502898822,34.444587372707545,37.92494116182769,37.480883975369736,35.0960936782741,31.59471870317869,30.1859909723664,28.730826532127747,25.68837525791667,20.929664530715513,23.314346897667125,17.539520756085892,20.972270238614374,16.988560594173702,11.842596355965037,13.798686348673987,12.480183813261382,10.46668896052601,8.328772649256159,11.27028567799871,12.38919100568188,17.364741404492936,20.95640835641107,24.270970843924577,27.74364330553823,28.57596498455361,32.52152124441908,28.76876764790086,29.282369825630973,24.13146675261391,24.008889609546536,24.132669382310922,23.913700398024968,20.947649346642432,23.38108078760634,23.650379842816143,25.27189723718006,21.016787977485908,22.270684044125314,20.989535410020146,20.097247284954676,18.630387624824145,17.535446188865283,18.75454798294149,19.410105360773336,16.59521031423862,20.372511603629434,20.969271670607746,22.532720733709482,26.585612273662896,28.23304847953371,25.035896265791777,25.441082984526137,29.853464316811902,29.20954217898068,25.752453605459813,29.692125819869553,33.983396671608006,31.172142806981746,31.74798386292263,35.500518685723335,35.572237761411344,33.630705920557745,36.165011561667754,33.201393355421736,38.06879271000743,33.11802109854119,32.858725495509916,36.820145573262614,38.15148251151674,42.86269940563046,42.00766461987509,41.98960872012239,39.04921227134951,39.9092923656714,36.762463946478206,37.98545826716815,37.61909750203974,32.31637508592581,32.5253597496854,33.633238118459985,30.717996955021967,27.845645282565695,28.2494226954708,28.197488589747234,25.60538565341161,21.804953282246647,23.91149122227655,25.583097566135674,29.264270746478903,32.054656638025094,33.91352323813317,38.647932928879264,35.52903818327283,32.08212992830424,36.236379532321926,38.515887113180625,34.20788674269525,34.2950156863267,38.78564520716381,38.6455236664757,35.85054277983094,39.62512763603203,42.09795326556734,39.77964146134772,39.5425964022702,42.34170327172355,39.46184696416303,39.95932105533154,37.000610441801925,38.59762245420995,39.33336649256357,34.09177906795831,33.84354659189307,35.60583049057252,33.92730139582424,29.52334632160106,33.281960899186636,33.62423232489925,28.84710529848967,27.246735224004105,31.343237139371638,31.19600340964704,27.901150174186945,26.068536535555694,28.247229508345022,27.34347677073512,31.087866210624068,27.974041719015503,27.675717128488007,27.805018280091183,26.065956767166,23.457788838072336,22.42189085270846,19.88985839030992,22.376666668503795,20.282271568460622,19.966509474263123,18.605124337686618,25.115859575962137,26.955537163405552,30.628895140367746,30.944544203399303,27.223390006357644,31.152910143664048,33.35168559481675,28.584387904884764,29.53326781086413,33.8960813574458,35.48733458149497,35.28629884567456,36.86635806136955,37.654159697456436],[35.455714481291984,32.18666427718715,27.892888283143982,26.292273403349437,23.50698280153056,28.70498470929569,27.627494386318695,31.10634085052957,32.51153782014164,30.672342896695653,34.09072609414629,36.75337153379047,32.15905119701211,31.85753218766925,35.75539141047144,35.137220606737294,30.821066502319887,33.09100771687629,31.74762387184995,32.44103816921752,33.750957918720516,34.64213479090384,34.73965655685754,31.846890004519945,29.924944556399712,28.73855786849351,27.42042394782913,27.07616519549578,30.894941958187324,33.10755887903259,38.68468668211358,38.32004315552898,42.88356937830603,44.25024926925028,40.228775394007016,36.751853386684516,35.70625940247952,31.872468746888586,28.772343319567838,30.8484712345266,26.72361361897868,30.843018223542924,33.767160050693555,31.4353899850437,31.156273172649914,28.7612947589402,32.68579411599993,33.66087097336013,29.380796318475028,32.19103181787062,35.891800926987344,36.73435537588153,39.00353043191224,35.54077779290251,40.73765984883741,42.02341661250576,38.394179422762164,40.02771818154471,44.316759346278566,42.26538647213044,40.055571540729055,43.85882787770613,43.998017800059955,44.277565019144966,40.467193919034194,38.4604053310124,37.785204769176815,37.40264248052436,35.86371193090763,37.04932748058366,36.08663639991896,39.2841394293748,40.71078596123752,40.855388419577295,41.08346040012655,46.300141217785054,42.63081553597873,46.50400596687486,43.57156552982515,42.03412646026204,40.486501494358016,37.02988974252438,37.23882656424768,34.263982566505746,30.443297823296753,32.8822574871278,34.82900798650157,38.56402671411618,38.49659512364068,44.218156249252054,43.033969793397915,47.11118715050063,45.5811940110566,45.02309480969786,41.24933776385498,43.77868720918398,40.38159286903561,41.43573212513981,39.81561934086761,42.64797426456053,39.847947966736214,38.63030828961066,36.59550355240194,34.479449450890016,32.72227557971394,29.667169858740138,31.111839995224596,27.58787255368951,26.41732005261229,29.12329935997203,27.213380249214513,25.271323005894942,26.35253484588851,23.06935836518881,25.65923551781871,22.598456940777503,24.802551682397795,21.95720488290386,27.12468111486856,29.287275815077894,27.946692298361825,27.5559193432532,23.271352401204375,23.14027536069558,24.1305293141927,20.261640751116282,24.071540082798833,21.714039753222416,22.21636839075005,23.8682473194434,20.118252083273248,23.26053023881634,20.546374276329132,24.561909624698735,18.88551008389771,18.700845343112366,14.855551052734432,14.773454941230208,14.851601799984097,16.79825621778156,15.534435173407893,18.050984122809773,21.442338191867357,20.589859034009798,23.237072423824767,25.917113435982998,24.009204726454584,26.869651363167666,27.328711537328907,29.372175050689034,31.609150010189545,35.1133891199426,38.72457700026093,42.351537704029596,42.054465995685945,39.562380910310836,36.13675385083157,34.463268747430774,33.0969123293399,29.674443017334887,24.825347211187676,27.22308770449052,21.36431689654932,24.24085867542743,19.518845439946887,14.42140536066959,15.368415011725332,12.723425671201195,10.94268355818546,10.632203373002678,13.638411472260664,15.78134106872677,20.307138659713065,24.07915341113103,27.63363077442861,31.193925952975956,32.47281723431922,35.99226915721458,31.948187711137944,32.223066923856486,26.75251749637343,27.001979834364676,26.16399335052144,25.327169766340823,22.72114847416575,25.189458402067405,25.974475100955843,26.653440646541167,22.121029740257367,22.90208334956536,21.0585582795096,20.87993380769996,18.888877467537494,18.051524367245808,19.146232795225853,19.44039538936766,17.37074350614701,21.312527172357434,22.258248177248717,24.64499235629927,28.176246343971467,30.480079037166515,27.649162078517588,27.43449182039968,31.82216310171225,31.84169388990459,28.2653758716145,31.731533011437826,36.36024352264756,33.988170581724454,34.20667281405374,37.86753913603112,38.46247620803097,36.451652258020324,38.51815643799728,35.32473555027268,39.967765219912614,34.31582329385455,34.277818283167335,38.19139131782197,38.95898096773002,43.61139405103598,42.44382110726554,42.69615563420391,39.670274061792796,40.4548571516573,37.653507382881045,38.267116250088044,37.69609481005461,32.93337571969717,32.98768693638239,33.306413711314946,30.539813859171275,28.031043637880526,27.986383217090832,27.303535770383824,25.179606204787138,21.693613134798372,24.675670967065326,26.710279796410287,30.116544492042298,33.3920752613749,35.427105436092376,40.29467360163228,37.58648560746786,34.17305398478956,38.184294439637846,40.85660593349019,36.88269099059756,36.71055044357185,41.35091234036723,41.53031116473226,38.62973213346101,42.01533498797791,44.764912436213976,42.732391978904246,42.03266980650011,44.56250257043651,41.45335791695752,41.74304730159419,38.80469029881668,39.87756279425125,40.66485110953017,35.755971038813506,35.0472628159763,36.430520378541146,34.986750735724534,30.532737777880723,33.5465560660993,33.8371116677571,29.49494750422687,27.442776826674102,30.91762201410235,30.90283477840746,27.9654087585293,26.83702601634288,28.20673754200037,27.876129451781253,31.953401935180644,29.543374522343193,29.571041671202078,30.403587066241865,28.35178464762866,25.553023490984362,23.814469367338347,21.472282319562055,24.034175195428663,22.955858629210898,22.406294622580994,21.93739976493243,28.342950721072274,30.254438964692923,33.771910867915345,34.56291716507472,30.920009782535537,34.587175431533474,37.1473735591491,32.68927236490698,33.20886091087827,37.53092968439686,39.466033894861965,39.45487248212134,41.0836128051872,41.929521315842635],[32.9320853601065,29.700021494799614,25.564122967659483,24.286583111241697,21.81819960443979,27.314545572969607,26.765563209244227,30.424536785156228,32.03646455379124,30.70602680437489,34.281754848920954,36.84599603659825,32.646830080847586,32.397657676557216,36.56905701814456,36.04841936910706,31.968250396026562,34.65651413357969,33.77639377098391,34.55933053398418,36.1922788815302,37.28049983017475,37.558540851596945,34.81697547590763,32.689640137057154,31.22772676540052,29.63354821533099,28.863067484550907,32.43938267180892,34.28044905393427,40.000192565992684,39.306643328977685,43.90197543151991,45.62626997813557,41.631918263376676,38.36408274997999,37.03307175710959,33.70171503902881,30.71861631745353,32.991908156714516,29.16545665423144,33.297869098099945,36.33495349463827,34.07517260239073,34.06663869551851,31.706754724398635,35.679809561078685,36.44867489184651,32.02102308728605,34.874556948864196,38.46406959124902,39.08207110896106,41.36561065282377,37.73419361455439,42.89671989788841,44.48091370467085,40.95981964790832,42.37607682830686,46.76233936047968,44.98439571433097,42.72166790670412,46.39506300757252,46.313693517825534,46.869188924191334,43.11534470184137,40.85067797457575,40.12373081656669,39.40143239370911,37.83099075851195,38.64052839710696,37.7447980409629,40.97607051196576,42.41869625869472,42.907849257087406,42.9225085047529,48.330616015471236,44.729193054184535,48.465634156452204,45.566432389319495,44.18870098462141,42.33993828626439,38.97031932154762,38.727722779623136,35.837181479998456,32.1792797501367,34.50848745562427,36.776276983707945,40.17327986876471,40.39274855966311,45.90826426904604,44.74386919774723,48.85677271822037,47.08222043011539,46.25590923893779,42.29326920839678,44.69857494628604,41.11474138059621,42.12168194095296,40.21387607689757,42.69646429077205,40.356926759658904,38.723001222377825,37.186483639688454,34.59833219481521,33.03368002104826,29.53252336992485,30.630796668130866,26.99447247998146,25.402588512021715,28.378285024141192,26.26099373818845,24.96034109456949,26.02331133514988,23.210429954681093,26.204101952277853,23.44980985706265,26.146788035405205,23.655820447214865,29.1626754314853,30.884630143558468,29.33202588030175,28.520608495958168,24.12817228092243,23.540887865620565,23.97735134398944,20.079604405816585,23.144636963239037,21.08839402168524,21.43391712148086,23.582275747441706,19.247150836397157,22.506092641566052,20.400355307707365,24.66980510869165,19.068668298560894,18.912183478423664,14.255743396637166,14.996385870682944,15.48907436756295,18.066364480019768,17.575841893250693,20.67252888197482,23.690674279163183,22.419120787708646,25.207536105006813,27.443143110765487,25.234901340588323,27.6438697170744,27.68466446709336,29.34565854580643,31.20796566302328,34.64499159810767,38.16582506280092,41.594113965032804,41.68968915121596,39.40550728501013,36.203062949107206,34.40603601010755,33.52836759563855,29.85920806733917,25.474064778229945,28.446641961135224,22.802146307446044,25.96024960085762,21.449024069531642,16.512344500863794,17.016734072783027,14.81786282641841,12.113646793447739,11.951481293873485,14.481835813850921,16.83146901021919,21.51431351601172,25.169259345614577,28.74408020389738,32.02448060658737,33.41617928414211,36.97869159989631,33.232929892127444,33.25460238981989,28.010741775851116,27.531881585575473,26.90514454967543,26.310285080069008,23.91457936356746,27.032849962082185,28.08574073457298,29.031924110192094,24.85814351985557,25.25783975463634,23.202498123617,22.65518375578047,20.133471505944506,18.68956722154273,19.20276983912064,18.797259527678438,16.26897491106754,19.917090546006662,20.285587991660382,23.00578833970121,26.14090340297126,28.665905223372825,25.831469406686168,25.062949150530386,29.483840636375366,29.649810800116455,25.71994508073942,29.032396118326883,33.91561297005538,31.52139679298801,31.460593247069767,35.11206590555239,35.958127114084036,33.77689827515826,35.59292354790258,32.310249217696196,36.92706903599336,31.015785160046786,31.18514600260735,35.13202969469116,35.896460769629755,40.49663789363453,39.430846607935514,39.95771192135936,37.094082704634225,38.12941663729675,35.58627688779289,36.25966806676363,35.33335892664343,30.58079507387806,31.003860065363675,31.18994991344038,28.085865143274827,25.828345968346138,26.17293634004399,24.957818816730086,22.550201737783347,19.762920273688568,22.396416060546372,25.196635574859698,28.500942178269927,31.5619388621904,33.964328074174084,38.683682474406346,36.2900916441611,32.733386657132186,36.332050453668536,39.22282856173078,35.30617768578178,34.72144972939735,39.36211908009174,39.614548536728186,36.48542805104822,39.70544641749437,42.52133345283421,40.47422893576805,39.49945876343528,41.978149031838306,38.799099030514455,39.22545403150456,36.492021057976025,37.46530798611339,37.9582386533744,33.09532999485224,32.53660782505657,33.62615287361102,32.060445718245624,27.765989560848546,30.74423277138239,30.707255796830562,26.35774093937108,24.52472986509436,27.87489407074424,27.587120674174745,24.610248862633654,23.481492652911374,24.660363871433525,24.34482847111248,28.499396146342878,26.272885057391427,26.509398057504594,27.628679016854,25.37332225883561,22.53676941686792,20.540912559569147,18.38095032063463,21.18185795152752,20.680367589570682,20.49747431235737,20.458123860608627,26.445396326399234,28.721612843444202,32.08274982330335,33.25943367217254,29.397632890393417,32.67834714518668,35.5177353147912,31.311059746505222,31.23359380803384,35.53072065953365,37.75260013827943,37.91926810970309,39.6803012115009,40.67449321786816],[37.893109887405245,34.76141012078482,30.906661427270723,29.222031338522296,27.22047649088772,32.42145993210076,31.687233194363642,35.425013971628466,36.60014542630035,34.83359272357532,38.23718769182381,41.12179626474425,36.650744358584966,35.96161143016611,40.031163265771056,39.64040915168714,35.24310233460945,37.41859353295135,35.7404752584232,36.72728339345568,37.723116704650344,38.645902620794566,38.386426050303015,35.24747825330732,33.76499519808733,32.642647784989144,31.737155437783436,31.501027089170023,35.46395703428826,37.843546115976146,43.17181427138392,43.08817082105471,47.625877217819514,48.94867692767105,45.00347145999654,41.41372178238687,40.58866806878175,36.596448739797495,33.510637642130575,35.544822524531114,31.18549955915733,35.16284286938809,38.05507290416037,35.68407579835127,35.03567132386738,32.523981590479906,36.29184058808744,37.67616341782275,33.55389378585115,36.09039426830163,40.02517838166179,41.02304274334839,43.38203598484009,40.12764833588424,45.35350039484286,46.38057537943011,42.682521209862315,44.521093180560584,48.71197164860588,46.36653905693295,44.1891688532863,48.049690116194476,48.327019640659,48.2473484147136,44.459542569125325,42.71223558000504,41.75668720289715,41.58936047654209,39.71307034285172,41.0021137017533,39.757992654061916,42.71200025234929,44.50371703171031,44.629065542930704,45.24303007137323,50.48025718309325,46.976622879276114,50.99330880513514,48.157021496918524,46.61115136620722,45.28885222540111,41.82695286100514,42.22942627801441,39.2174332034932,35.358234372615804,37.81808148804173,39.56507561556992,43.4427624337862,43.11507997606056,48.902441086468905,47.53879811534335,51.47529109851278,49.97206762722743,49.522879912440246,45.70646001323334,48.08907798498679,44.61415179716793,46.021477371371304,44.43204213538992,47.33999594476502,44.7201641362645,43.5673382195354,41.63230043250821,39.507692311007446,37.801263551976405,34.65450582799704,35.94932309587133,32.327753602529725,31.002759708089773,33.869524803560935,31.788385806851185,30.094103402267645,30.937130149356562,27.732793751026446,30.1137851842849,26.928210573001518,29.089354790916403,25.93292820039139,30.85725370440071,33.34097774499284,31.761049262882853,31.489437643673664,27.01521086661989,27.12103494797037,28.18369160081493,24.693104910381674,28.38917605924273,26.371587923284366,26.914957901824813,28.782353649264465,24.719733291485216,27.765659201883214,25.202313452840187,29.435166696973432,23.844405817005708,23.74163835280901,19.60936159652377,19.634429328814377,19.389966187647797,21.519805939651608,19.584276203147212,21.96387404485952,25.609912902340735,25.107227443078127,27.883525209684098,30.665320638365433,28.758220068672088,31.68554079750915,32.22357065360648,34.047453837240205,36.31597082458109,39.63610245995832,43.365721601451824,46.74663117444332,46.58215961430573,44.28306264500384,40.86923621419467,39.31948766125301,37.9999509875825,34.67648545286652,29.886143176997447,32.21267982155284,26.312329513044357,29.1740856271149,24.38530215591941,19.263457851360176,20.20758193827935,17.107402494843615,15.618184960309277,15.694876140631822,18.696723264750105,20.876109860862638,25.387896806750692,29.173904798274446,32.724488948903854,36.306951876047876,37.522969400122065,41.09119692912059,37.003945959696274,37.298291824190215,31.771017985314504,32.088792989899815,31.078488988699196,30.049070042460983,27.577705544180827,29.909198890129012,30.684596468102374,30.984575715157575,26.171209175166013,27.010988383903204,25.012970162774213,25.30600993895876,23.194572759591924,22.488648896118793,23.408105921962445,23.303434423523065,21.43803637176534,25.2323267649925,25.911386256939917,28.739659569458894,31.820411538388797,34.44668842620821,31.65336440078413,30.834984951825223,35.23971184759882,35.45655614733593,31.385090009800383,34.67179681625818,39.659412213989455,37.14907168340991,36.95252253239437,40.637795034041886,41.51866585281582,39.090407072452074,40.83497714077054,37.51346579025566,42.2070517377223,35.96565664310193,36.47166585659862,40.43189203262477,41.0437929257122,45.51207491957014,44.40770295359228,45.17854496646709,42.32255702808643,43.316332019059026,40.93793470065396,41.265419215428125,40.26996237496075,35.870445135616116,36.156104516038674,35.873058030172366,32.94563630025272,30.92761604955676,30.898383566665164,29.34419086666786,27.337402278745817,24.741979055991663,27.845217471603668,30.57734970907465,33.76739748785481,37.08048993077179,39.42046745775404,44.22097560309833,41.85220022309811,38.368650870017284,42.03490708023825,44.962092976703666,41.08596443319264,40.53323123709262,45.18129737362329,45.43799491141726,42.28916892305084,45.48311471159696,48.30992802604367,46.208500008565906,45.184529789112595,47.65176511332937,44.436514413467854,44.880208865432515,42.190960021387205,42.99468442308708,43.44969605622326,38.70810091482554,38.05954871885421,38.928935060077904,37.41036936944389,33.20683337534259,35.80194341994017,35.58166449641714,31.48435207134103,29.596717955018608,32.439636750849566,32.0307494771979,29.274817937812802,28.38504708490932,28.850811923669575,28.562889160041713,33.035250326007905,31.029821399864456,31.740058383444552,32.89765971130336,30.21930236594598,27.604981724642332,25.426031298920112,23.67590438440056,26.75818010658417,26.437632587302375,26.32377861235161,26.154569046943593,32.18643771974448,34.4694357158854,37.86882510128829,38.907945505929604,35.02159381837539,38.350912514354604,41.08756617793043,36.68593162459105,36.63623568094111,40.99217174786242,43.08021221501865,43.1160780428783,44.89381500483515,45.86713152115267],[34.0043276315754,30.990111299218075,27.433494466463074,26.83109100425011,25.147584889744735,30.92966858209155,31.184324170378765,34.99554770988591,36.82577255204215,36.07284984582204,39.75348441190003,42.22797699518392,38.449600058575264,38.18736783597205,42.582013568887845,42.162504005486376,38.259778262231116,41.16344708357374,40.42491314404181,41.253594332437544,42.91718596967808,43.96552624639468,44.2162400406141,41.400627015358126,39.357461652643856,37.945746669402105,36.341994125614065,35.47996653320099,38.944001663022306,40.55826441743058,46.363815285664906,45.428556674620964,50.03032763765683,51.9781706288396,47.98194847899506,44.854343660195724,43.30616780143811,40.22616612787668,37.23621830546588,39.26691514766783,35.679409450050926,39.943885076110675,42.87044442679719,40.476618082888024,40.35889711341332,37.76198660567466,41.59531058528562,42.613801845939186,38.089243786764456,40.51447135069459,44.28102806380174,44.74586333782202,47.24896349674212,43.78205401951365,48.98160044557968,50.60723219752874,47.25350449585845,48.78557381296255,53.131456819559475,51.32396049628428,49.26698127695213,53.028205214982975,52.9753785461636,53.569817727248136,49.79116230831235,47.53923533604596,46.84051656933331,46.06166468184687,44.42371886266222,45.08231871154435,44.13665991570644,47.2908989853436,48.87198953939038,49.514771065453765,49.5208363606446,54.99405957711128,51.400417765254616,55.076013264627186,52.137604044225824,50.71808099287266,48.69845165471946,45.22193571247629,44.71864107714357,41.69693215074735,38.251280888740084,40.743873936218755,43.247345238951766,46.49648127397168,46.960080470824835,52.389545769116836,51.28922731807945,55.42101135453536,53.5309062283308,52.5487325448965,48.47050712070218,50.759749084875146,47.03152199153714,48.022816183367006,45.86790188239693,47.949753308029806,46.04317944243959,43.915338264983845,42.82044037669079,39.69405238986732,38.01710510644718,34.24260876459773,34.635500611173526,30.77013202551967,28.96606469202273,32.43560053177434,30.33293964964868,29.92349781182058,31.092324648577208,28.828301914247955,32.12460413523265,29.608778341790874,32.5685984663793,30.182901100626943,35.74805347549748,37.369781587401945,35.64274873747359,34.611926438085064,30.12151444904817,29.292391167656028,29.259487530818305,25.48337693727816,27.563819395054935,25.847347270750987,25.761009994477615,28.10807536843757,23.036104689798176,25.81733021054129,24.33239780130186,29.037392292788383,23.91687469437187,24.289251422754372,19.062731856710194,20.843076056155613,21.677009742916958,24.530241920583798,24.22529867533494,27.351170289401892,30.40406599500575,29.062251314277447,31.8254239326494,33.92434160802107,31.602985377980957,33.69079127939644,33.34203006566528,34.67644625454375,36.0226796650694,39.39350391543131,42.68082628434105,45.86256929984981,46.48638220730565,44.432500889496936,41.528056020373285,39.53424856676335,39.182270038468644,35.1776231548593,31.246225743714486,34.638912152209315,29.167041879515402,32.25729028152183,27.61251369008384,22.883209965717285,22.67167861082849,20.19379914325912,17.272477050607225,18.01972809973955,20.11998732298109,22.90867521780769,27.37688784829242,30.947498714945684,34.59853981962272,37.64186211518219,39.33276477639748,42.69040645989139,39.08237473653101,38.755087128612566,33.60489039261335,32.71293570276116,31.724453625025443,30.968478532654096,29.064970076700067,32.64235774920438,34.164182689485266,34.73583657450358,30.709138296535013,30.55650172743686,28.032968344558963,27.697332168928824,24.50994971553004,22.804177003284654,22.62054658868906,21.189123345552396,18.995958297550537,22.022558645994962,21.85408976119082,25.443642164046896,27.44131937104391,30.656282589382453,28.201776969412418,26.218768536737564,30.446209311066532,31.30138416865754,26.88687411225001,29.449501532226446,34.82676059825892,32.74135873509683,31.948480967700185,35.40917813540417,37.00341379953471,34.48709314249777,35.489510309926146,31.98173592724447,36.27362140422803,29.434683649383047,30.262845226820733,34.104485312532326,34.34325025707992,38.634207820177394,37.51514575156873,38.80304528422569,36.21390250840546,37.56415942521004,35.830347383555655,35.9998607486867,34.327759807442554,30.309888227556723,31.150190756300784,30.32300284313357,26.955945869978382,25.626714769379525,26.105917556937744,23.38617592663234,21.177674742487763,20.174354867698682,22.865897205806604,26.910624829787086,29.659834856395744,32.69845659125747,35.67222656035818,40.156048951379475,38.57687494198948,34.9654387605985,37.766879033889936,41.187759072784345,37.69207865984018,36.35521704871725,40.97486990012583,41.54710229249435,38.07653514614318,40.6853259603264,43.7366496323489,41.8873982695614,40.174160728974975,42.320389436282085,38.92605482047088,39.4155277854301,37.109876475279385,37.45445750744251,37.480158063893676,33.13205040708462,32.46229080918921,32.65266814285122,31.134356373170345,27.285875481589756,29.334391105809967,28.600629394597313,24.88487676848631,23.147943307922667,25.361064604437274,24.630722020741324,22.123202668465524,21.78065715108854,21.49472992884583,21.76733023879912,26.296198852881652,25.16918963304238,26.191011178400963,28.249517837614775,25.39801659804927,22.62381317016184,19.718188988260643,18.404513569801175,21.521497057204474,22.729356131013983,22.968240450331283,23.991584602856047,29.025597226217258,31.76468678500504,34.70215854289806,36.627725752032184,32.623812895818396,35.106244426472266,38.453508177042046,34.829809089456226,33.67221827148972,37.79419597848805,40.54573645420034,41.03893898017082,42.98983310257279,44.208682730826084],[33.46955374347979,30.54319925044628,27.318986665450584,25.946693336461795,25.00913505714006,30.333094203557007,30.525761081835476,34.60557836886757,35.865627268874746,34.91505702688825,38.501060252712044,41.333012632361715,37.600785202733434,36.78259134224688,41.34826274327145,41.25471738368284,37.23432043606276,40.0805000662577,39.10958928015707,40.420702527701536,41.922818139103,43.32464022688245,43.290690844032454,40.3879290617578,38.60416541653171,36.886630095805636,35.62154672942613,34.62763907989638,38.235426634514255,40.07404022926733,45.45990765885812,45.00334436883277,49.556652048944436,51.49090955146917,47.66877671500959,44.37912385655211,43.22899618121124,40.04394332288031,37.21309173376666,39.81445694389723,35.7473652463664,39.616067486904754,42.83232792334355,40.67323155579145,40.486643620583955,38.136051524459155,42.073001030385285,43.05212283073805,38.73132043829701,41.547084332898365,45.259537500982645,45.971672004473355,48.26282034445535,44.6270102242088,49.791334646831196,51.312146770909735,47.66683390085204,49.05968786906861,53.47449338465502,51.58358174060864,49.14138546377361,52.69558687246415,52.53627333006493,52.84310831265958,49.19903796241385,47.00343491547848,45.748865970787534,44.99569492921662,42.90329630707357,43.52594472307239,42.30216219688271,45.230695046422085,47.171917990155315,47.955829187002934,48.323969503932524,53.960493224853856,50.69848845008332,54.53996322498725,51.86166298941495,50.69480189888786,48.95824490632213,45.7586877251658,45.484594438334,42.73163696852343,39.04385376461205,41.16576149641743,43.31355202818432,46.64993185122444,46.62000577577742,52.049363700833545,50.5748166404568,54.487458711353824,52.52955078881254,51.653898325219075,47.48728183637652,49.55797823409731,45.74131020751585,47.27656898787068,45.25651932457591,47.672763768195935,45.94183340409128,44.27670816238144,43.22129289681473,40.48273131995886,39.33563660532619,35.446257184145736,36.349942466053555,32.70355477029571,30.580358792795224,33.66921632738796,31.09449737018753,30.382566505523943,30.89804784624185,28.45126108121004,31.215692461904602,28.47747022343163,31.38340714843086,28.719412200319347,34.15032297325786,35.945117270703285,33.91083792854551,32.97723880107464,28.318585243347542,27.811715283339673,28.074181017637034,24.89946318284674,27.480071793145207,26.23635014064802,26.767460241376416,29.552319874764155,24.848150791488607,28.167563761949456,26.643122336628274,31.04804681194997,25.55829172334238,25.20244779028989,20.133908578458325,20.901035180973754,20.92295011197186,23.998078868680583,22.995186762229128,26.395005984991766,29.449253317144954,28.35717691310262,31.496922624836138,33.542277158886066,31.13065456960194,33.37277146535152,33.36951419833204,34.42040353384174,36.20809986647487,39.192402430405025,42.88200153004303,45.71719831093282,46.192783550490674,44.38391637494548,41.32906670125686,39.76951682756459,39.19337378117142,35.72198724552151,31.71097067110782,34.815250383765296,29.239704918542795,32.676272501873235,28.34708539519705,23.30778101263047,24.002820386286473,21.654814497829836,18.99104669396736,18.8446351355172,21.307841457313796,23.474212154211262,28.321625550464343,31.89920301895614,35.392349134980755,38.53726797357047,39.724439169568036,43.53008564144952,39.98160524405468,40.00134150441711,34.8884541592663,34.05849763508997,33.639142994883706,33.10999095799481,30.825970083313376,34.0319311154554,35.010510274019886,35.92698646902793,31.56173695120255,32.068678445132164,29.904994201263584,29.547773392360074,26.836514153782836,25.266685767934426,25.407580134540517,24.343860026444705,21.690862705726378,24.829674263977093,24.352814012679687,27.48590322192183,29.853231538577216,32.65489220776353,29.781983879872367,28.028097018403503,32.401004245859,32.660933810309764,27.846896664339823,30.9102486640843,36.29396523647937,33.49158598641171,32.725788799956185,36.399117031345774,37.62008899845366,34.69498099040182,36.002111536515756,32.59854615296007,37.33910614408721,30.67382888870595,31.81122517742061,35.833632157641745,36.63306736803162,40.860043345411235,40.16894439687867,41.587252839958296,39.174475701119206,40.736331218644985,38.88000260784968,39.443498058621095,37.7347938762396,33.36206688510593,34.44715726140033,34.00659897831161,30.407281795154383,28.946715792636166,29.7596193169875,27.202672766041562,24.607039710967133,23.57099328065565,25.70513564591209,29.766208871294808,32.753091547960445,35.47414781907034,38.43933396935918,42.85470742086804,40.99941533017661,37.2843597976374,40.1244998204397,43.321505506790956,39.49198654049302,38.19450431368125,42.71185107896656,42.97910186488117,39.405598708042476,42.35297192091535,45.16922917519195,42.89005936972286,41.4436845068535,43.89026509095397,40.64402711005788,41.510032471491996,39.334669539162995,40.059504125161396,39.78927317413932,35.13054836429489,35.0090572682517,35.244560889076936,33.36983181523,29.704835643157224,32.30485239364914,31.212901134262346,27.103880992840253,25.9938247126558,28.47127945240478,27.225558093664887,24.36749767471762,23.27746064832879,23.11876731163312,22.54349071113133,27.247749822367762,25.524176134849192,26.948871263235027,28.454092914813515,25.164519704369447,22.794407531133245,20.231917332478346,19.270382432503915,23.003056786159135,23.67573108591488,24.50733679208753,24.79596949824974,29.812616385560343,32.79792662131802,35.88432022810115,37.44559796716157,33.11809671261318,35.67758654354805,38.75933140206561,34.739334703221544,33.56766157539194,37.847382322798325,40.31065303617454,40.58284491788418,42.615135736956326,43.86230432910666],[37.362375948995435,34.47600078016667,31.31134058084165,29.640535730312546,28.75649239170321,33.897463153581235,33.82373510464424,37.90520709431391,38.90110867338444,37.57726473305133,41.04360070245812,44.076093001511865,40.0805426559256,39.02170080524734,43.47272110942121,43.42132572483316,39.166240076406446,41.64501528698255,40.1382367568738,41.54151418210759,42.625973771138035,43.89414792647006,43.52387616805152,40.37844268613504,39.00127745942734,37.52595747645616,36.68786122301996,36.06937258489816,39.9390963025724,42.151713469833965,47.310336649039016,47.2563860869312,51.782612358988374,53.41592195360693,49.60570364538015,46.08945849425295,45.26846751742402,41.61088329158839,38.691576979272114,41.11878073293669,36.717276020062016,40.5020710691257,43.61143301789589,41.37586048913393,40.78671275000369,38.34880149778895,42.145718996923776,43.50650027330818,39.385115792328634,42.00526909730544,45.929172506899455,46.88851382730764,49.22479586921041,45.83214544588608,51.04024886176705,52.189216707218364,48.432791945178515,50.10876156044583,54.38618538710268,52.12353503218116,49.74799701591455,53.43446923071149,53.52439944277119,53.414510616315305,49.74321825357929,47.89341619535672,46.52431539093789,46.152743512494936,43.895425922893835,44.86682806571113,43.43255958216554,46.19274032119476,48.330628702621425,48.83487364618711,49.58853381437123,55.08582564720741,51.86527007758375,55.89351737502079,53.24028840053244,51.94228790704935,50.55543738406352,47.27592968212427,47.44467929773156,44.591254412506544,40.75739337088265,42.9888727331872,44.7987448301255,48.473740148297885,48.08958353416446,53.72064548865363,52.132352531078666,55.94081655843174,54.18927372112891,53.58491652228106,49.53840477893614,51.63028284434889,47.91357145175619,49.67845630708259,47.895980068656215,50.63551633635224,48.62322673468469,47.30361145188914,45.90115760361874,43.50067907116875,42.20067902587563,38.585229173770955,39.67330853634738,36.01832232674238,34.14920039251779,37.155521355613345,34.660336295658205,33.56027868190143,34.00885450627832,31.214462160562658,33.602584335778836,30.55764953655111,33.081386152834824,29.992701469716955,35.03564542826756,37.3358395983168,35.333076021111395,34.786875168608056,30.104734894006327,30.06616264313071,30.7951595135857,27.77121023666981,30.901453159972778,29.530042815732003,30.177475573530526,32.69258653886146,28.19571977335865,31.411522630367656,29.463292133819802,33.85792695488233,28.287777305397064,27.981638642390696,23.25370602379614,23.551686063311735,23.17838200834531,25.91733059019557,24.065782555227287,26.986801049012175,30.422508530644443,29.804729379750317,32.90834835307982,35.3362846908859,33.13898682854693,35.76320212400005,36.10966787990363,37.3673545284833,39.4674933069688,42.44406084039602,46.2763844362092,49.16670881922079,49.39589637659169,47.50878665258139,44.27054872473903,42.852486061334204,41.91819939622703,38.64877594336764,34.279582057247,36.94860690261486,31.16559624893698,34.40005204475642,29.8599599105438,24.692393778427075,25.648750579094873,22.786568892057137,20.79111542996223,20.753546736504337,23.55564074983151,25.66623296412383,30.438758385375404,34.139628848562445,37.64654318006609,41.03022535351858,42.12109928994863,45.92279330423854,42.107692461196415,42.31742176856969,36.97651419495189,36.71537695969981,36.02439055204468,35.206138871491284,32.83376598734344,35.53387559047277,36.332566371421514,36.85074816038684,32.10306270411428,32.88867212055893,30.78344953724429,30.92188069725902,28.490454853648405,27.384891725663667,27.851111892691673,27.093450331555392,24.85310284923556,28.232640595437474,28.131447424254688,31.267447526052205,33.767934944919766,36.59079896278327,33.73222995921745,32.13671489190176,36.516422014629704,36.78234676866935,32.02601383921173,35.12560351603261,40.488846509028825,37.659419302595275,36.92387361047121,40.61253306426475,41.78259856595561,38.79891837402859,40.142878168471434,36.75192785033027,41.51445319134865,34.77353251583333,35.99366676845201,39.99761055649428,40.68441811606051,44.859032597538985,44.08842123752853,45.54498047683686,43.071515766936216,44.5224124916358,42.669530151518686,43.01217282866472,41.376441497766905,37.18932335260127,38.06757168548136,37.40367592159122,34.013614645207724,32.577710936689876,33.04866795854905,30.48960818366705,28.21859711153476,26.971408680159826,29.53066631312681,33.31923989288314,36.304764356533916,39.2658579816163,42.1017133794594,46.63735671156062,44.6994769809595,41.044538921475365,44.071315452607294,47.24678951744987,43.412449877297895,42.25734255321118,46.80577729560486,47.06640633208315,43.54694508600298,46.53053836459075,49.34935880332639,47.057552514675486,45.66063021227876,48.10873084984743,44.85393832525514,45.66770463112259,43.43427505996898,44.08559318901745,43.90752305511553,39.30296124977623,39.050193218149495,39.27373359334954,37.485245223804455,33.78527558065845,36.17669308083943,35.131727387747304,31.18421688153319,29.911384385199423,32.163421664508284,30.99888060542557,28.31255013399371,27.397028622074988,26.948357002075994,26.437669740342038,31.217756149739973,29.583760142302307,31.137298593004772,32.57361033902283,29.17890259305355,26.92203132201646,24.383419639098648,23.485978105243195,27.204988640198405,27.740719413635073,28.41802259451004,28.53313368955336,33.80078208995462,36.67398733324023,39.852544199029424,41.24370054383308,36.95899241826622,39.689450282453436,42.650779677329375,38.43991252877646,37.48225812163196,41.811239796540505,44.12802682705991,44.276864865332215,46.276835498970506,47.46532511409739],[39.27943906282939,36.65620389859918,34.09327019809749,32.541872362815305,32.426740119234296,37.45993556200337,37.82891507339085,42.064720257770176,42.94888981650297,41.90100622953387,45.363386867190336,48.47207355189498,44.76988120477257,43.48702621743946,48.114967665228754,48.26038090278716,44.08443386781236,46.6598979224806,45.157165093759346,46.77502411059849,47.81260470094055,49.197710134936926,48.69639158082419,45.49158082859782,44.27462658189255,42.71154821676698,41.99222921678237,41.264554177336805,45.10554460553399,47.263695743985814,52.29099121550257,52.28934862442279,56.792216564084576,58.55577175685823,54.82262282027663,51.32866534270466,50.53773920459495,46.99387560264358,44.13436845680428,46.64612105858611,42.208765313268856,45.91494793437402,49.07089281937319,46.84755859944981,46.17188876515906,43.695706201528935,47.439459193139875,48.93031615063871,44.83261980330904,47.35421222416773,51.35894432069667,52.32577781390032,54.709608357090936,51.340766403473665,56.55903294720876,57.6872745890823,53.91648100482153,55.608277603741655,59.88271687348349,57.565924666294045,55.161582122413215,58.810147646920605,58.873758639064896,58.66007610882021,55.039659748547855,53.22802653055527,51.647178251263036,51.2525555244972,48.77116180488874,49.62787602616494,48.051086492989484,50.63914054651155,53.01427518584106,53.67331268325251,54.57998709224164,60.17234469652355,57.110476963683816,61.16760695620506,58.605792865148246,57.38979369488327,56.01746949357849,52.78541519371677,52.88962858752298,50.06007604178057,46.25138165038434,48.435194349318124,50.2490067840371,53.86815014262663,53.430194312112796,59.00350698497759,57.29473080637345,61.009435872021285,59.16042722411806,58.50866467628377,54.36346261177015,56.278932722294485,52.44860839570187,54.435465535142626,52.564057475142036,55.193770313100806,53.52488582287879,52.10093132349006,50.979295611227116,48.415127925179135,47.25857196281909,43.4384205041991,44.324633096655084,40.630856363715765,38.53086771869474,41.655951063325276,39.00075632444334,38.28275975076008,38.553507023124865,36.012187334493724,38.37396381852731,35.41159197365233,38.05278502392558,34.96572017906122,39.94841558905661,42.22892230923926,40.01832061129891,39.38221584394399,34.64095292570456,34.57443063414638,35.13178232843959,32.40863352233452,35.151772056688806,34.133551274172014,34.76253437247601,37.53234087832673,32.788376302588695,35.941777023954636,34.30887085160132,38.82466210331304,33.36161728059162,33.078292907797625,28.108654797568718,28.621131665762935,28.215439800226402,31.156574477766593,29.2653638043588,32.28303151553567,35.684950315116986,35.09398201878417,38.304313604931,40.61922510564377,38.32374938044277,40.81070467764331,41.05896441552245,42.02173611604768,43.98695957381098,46.75694207705797,50.60073322871593,53.17770795338645,53.66796390871032,52.0342939919481,48.92171448682585,47.56553060322405,46.85325693551901,43.59630431150745,39.4511252932689,42.262623654417986,36.538508176173465,39.869806605625136,35.368824470280224,30.20731683906363,31.074870067416953,28.17285109140566,26.07631255739079,26.167567507435802,28.86656729341018,31.01717529071574,35.8283788026035,39.495886180644476,42.997561005288475,46.289269952550306,47.36098444288056,51.22509207345588,47.50963427239368,47.64999402853939,42.36761291163559,41.88607153175057,41.21337080188691,40.39900330253671,38.149353909837735,40.99002110877809,41.85556310933698,42.30725067567972,37.5466981034333,38.25522849254581,36.03275709307296,36.2473836316366,33.62609039188821,32.4087162654942,32.62619299399171,31.485562653909255,29.257050370222217,32.33113108327283,31.843360135156466,35.22408002912004,37.209163517259206,40.224962639926446,37.44870922340255,35.28252671771392,39.52951374418976,39.952602985152296,34.82922133300969,37.61722887405547,43.19401377201365,40.28295877888642,39.10580939882512,42.69368458112552,44.158823149212274,40.810255241522974,41.722284444410306,38.31107502434743,42.96207332272366,35.83256690037556,37.63280824237319,41.553286024406674,42.13431770335319,45.96858598351084,45.390085331583805,47.41764886421084,45.25408339748029,46.98592789386083,45.623382435891756,45.81111132620508,43.70378426186312,39.90685058230408,41.12830551874212,40.010920506428974,36.43540674565746,35.540811666902215,36.2150440582268,32.88982824041671,30.663324891726006,30.437823689480748,32.75464367184134,37.17010268809237,39.90344628556902,42.688940855459855,45.835583553300914,50.16622967158251,48.619703804477275,44.91192182500145,47.45214833755309,50.834785169629555,47.139747387639076,45.55414848478305,50.00172157079807,50.32560035218891,46.57909904858163,49.291977503637725,52.12565265892111,49.785323925493486,48.04562210094885,50.38309964208708,47.09939853710187,48.12121734955149,46.25317241382701,46.66289580764358,46.042999173794826,41.71123175212555,41.638193307248756,41.29589212578662,39.41280489985682,36.173849642536794,38.15491826822347,36.50161410452783,32.92899160969185,32.04557713415842,33.587653600065806,31.909868577254567,29.508778443016404,28.810233571841106,27.405414489024224,26.89531439130403,31.801763196574633,30.71979246013971,32.94816639250486,34.68394294614949,30.805504934654856,28.889208372772114,26.06894201942549,25.89814428022524,29.884443750433423,31.14315092070106,32.24614845910082,32.6519753022545,37.32362801028629,40.52689698399746,43.490459744933695,45.163369429694825,40.698302147972704,42.95252122353721,46.076779752913225,42.09274943818797,40.485185585615625,44.71158445754578,47.206337334885696,47.45550595226322,49.587570476832134,50.91650510435303],[44.433909780098496,41.74177761571996,38.95863674240357,37.531686761163165,36.98084326983958,42.17318434968617,42.3003545925009,46.41300152610158,47.394171052990174,46.08203292969232,49.50823564375547,52.6073971450877,48.58338317146215,47.40981952708351,51.826731891403874,51.80387479351781,47.454827828116144,49.69517219279444,47.79251131918151,49.18822693347777,49.88710014954819,50.88845424810201,50.21588985421478,46.825435871672035,45.88365753157241,44.78380910879072,44.29097617732937,44.028429166687516,48.043241453458364,50.444935031797584,55.5120841069733,55.623916929199616,60.13759791011147,61.58917884974609,57.75449700256179,54.125657512260304,53.427446781650026,49.459361539765844,46.414492921961454,48.37963676858701,43.91061965766735,47.75971684005819,50.59922227831556,48.14859053297741,47.07812303988919,44.36285197153343,47.84198448829474,49.78486979047747,45.807172295129966,47.83394826899797,52.08444652108705,53.163720399183376,55.725104238507654,52.75550200524299,58.0159398453512,58.78881809009329,55.106452946190984,57.19689808847714,61.25510577548835,58.58036053312373,56.52158341702351,60.44577290961372,60.85848175279286,60.3725893527332,56.64200659041757,55.181331616589084,53.85023642657828,53.847694704235735,51.498056019469374,52.744338191026706,51.13597054583132,53.70118453863212,56.036665737623494,56.29735025022193,57.373262797845044,62.697564124771226,59.46760303788392,63.61215505220528,60.91082916530892,59.3879819453695,58.21649432836632,54.728924322187524,55.16381033032849,52.06970179498563,48.269002331615475,50.78940991962063,52.46466209689023,56.381738452130456,55.883148684706455,61.66792215872575,60.08209764335888,63.82733776817497,62.24811626981557,61.816424274667845,57.8515479023781,59.939265165750435,56.26213779701444,58.13905638736415,56.424308112929545,59.192616712739095,57.105847977090605,55.753120844434754,54.24138339035026,51.79158871991367,50.16311903182857,46.69064095909316,47.482125077176576,43.66243581586498,41.98977906225882,45.24266875014323,42.920731215448306,41.97560810482646,42.55839894811823,39.76335396461494,42.09833315424676,38.95804426820718,41.277364079454394,37.95128255388242,42.63468907316888,45.310709837568275,43.32860295374876,43.010268561234895,38.33191607602241,38.501082655424824,39.32619198691906,36.34948705154614,39.37100180535418,37.95086741237569,38.36984166131426,40.65159385140958,35.924709048964274,38.69893968946265,36.6748514892697,41.30629923817744,35.983143162888204,36.119455409628785,31.376893532695295,31.96850892850843,31.645655409929354,34.17813195724685,31.92594031397387,34.31505732731289,38.06199380750053,37.77974199230457,40.720864660230774,43.44478664849017,41.41180262525815,44.18807221270434,44.579668635875294,45.924957841505616,47.955791681968485,50.97216032968018,54.73621482641359,57.60797466906245,57.92800363228417,56.04635499907418,52.82139956335503,51.338952908581824,50.390896603786324,47.0112731527552,42.543103347500455,45.09199126134589,39.22698495659086,42.14802797965347,37.27793664638782,32.21282373006579,32.83447283786594,29.417576347641763,27.871452042655015,28.4842980540459,31.288517095579753,33.69171000996923,38.21287200623629,41.98578054969993,45.58434779284441,49.05714518460937,50.332118825448134,53.91751135771887,49.89180798208183,50.022331220283725,44.50117605823116,44.56822209615096,43.29859721239785,42.060258360798606,39.955103634358274,42.4586967408213,43.45453037721164,43.26222977078095,38.36268211269682,38.95287522148233,36.61248843324379,37.373229257892326,34.81254810110521,34.01921982540099,34.39459820147743,33.40015753798973,31.826506744933454,35.054447407540295,35.093289905935364,38.68220356927255,40.627172765939584,43.872415195072044,41.32348581099569,39.218714702496776,43.40706170911744,44.15275521203548,39.29576558611367,41.88748820462779,47.44370706746539,44.903060199879484,43.764608147184326,47.26774723783529,48.886290937831376,45.72705766221717,46.53076273074658,43.059225256006016,47.49640296638179,40.20363131394991,41.873726760780215,45.67621309247172,45.82177233065363,49.60816491173958,48.7021567756863,50.682404764461516,48.348468334662556,49.81902235841474,48.53453674803238,48.25404222521308,46.26902769772237,42.901748976033964,43.75272931249865,42.19308477876068,39.021323041330895,38.22627291460097,38.35998743852761,35.00299459020528,33.35604560241884,32.92051550778708,35.90023766133955,39.980282643021546,42.56888994454656,45.76343785806696,48.76030738064978,53.24621876401228,51.76785557371751,48.18877275854565,50.910535215709444,54.39275397288562,50.88269720157574,49.43445781271085,53.98399386079214,54.4778077234455,50.84680208908638,53.41721122282131,56.39766931691015,54.297674315792406,52.46051618608436,54.62998083271609,51.24780815843028,51.986063380242854,49.97106594404219,50.08850212141984,49.75294983741445,45.651323907647445,45.13021121336608,44.77015062949224,43.188122676176725,39.80390726354267,41.27247252759512,39.898889087368126,36.713904264834284,35.33075863362274,36.50381815463808,35.22686839676862,33.19880446273277,33.04569766613692,31.381672251711514,31.39451185086814,36.248142577683296,35.530440860789106,37.60693976768241,39.56152175691844,35.84655383161644,33.75339835619497,30.7821917169025,30.405787318569487,34.0906715775424,35.431477813312746,36.07758126165852,36.67506403456063,41.66903623673914,44.63008805888496,47.62837041216898,49.34254327287941,45.07587528926251,47.49612554437369,50.664935218558156,46.68297664849173,45.32308664152308,49.550212577184055,52.07900274549948,52.336157594084966,54.39913786125118,55.65401522959398],[43.43378571365579,40.976010216429046,38.719092334703205,37.14342178400464,37.34731403558685,42.26733763622612,42.720504226328025,47.00555691231761,47.74618254698473,46.66582466990515,50.065402891216316,53.28049784862553,49.59481035071308,48.125985471638344,52.75916159547734,53.00051103907972,48.764654627154805,51.19987420468298,49.44749156270934,51.17871644516587,51.9819258046416,53.323631060393886,52.599804795070256,49.26322636823758,48.33034228667013,46.880091216622496,46.41616919834474,45.83385950414443,49.76879830527752,52.06610763863782,56.93275052966169,57.130402763418324,61.606972546861705,63.27844372036834,59.58332424046697,56.00061168356254,55.36594002911692,51.65352278532884,48.775364467692285,51.19309293108465,46.620399539054304,50.254778514412266,53.34401965769686,51.0789337758304,50.15044391958156,47.60517294437703,51.21351234809,52.97740207737288,49.006094544635246,51.329033488579086,55.47542387568416,56.55591884887633,58.99521328075419,55.78968606483968,61.029069642323,61.949606451876264,58.141634037717516,60.000863214159466,64.18516920165132,61.64653202802576,59.29937949676004,63.00460564380176,63.198795850992276,62.7221852189656,59.118272230076066,57.51663041766537,55.81183579486895,55.60711778811284,52.967537106285384,53.94543658820041,52.21322733736034,54.62638889514389,57.19271689259094,57.769154398927355,58.93415547145975,64.47305666505609,61.50207667351523,65.65403434097253,63.13950408435942,61.87960406295023,60.68210840007485,57.41771990710148,57.701385958738044,54.818718467460265,50.97310803278669,53.209838878336214,54.87498634033383,58.62854054672928,58.01429826568343,63.65351883599674,61.85222430451271,65.4705387476797,63.68992237961285,63.15131550083587,59.03185105784062,60.8793175369941,57.056600374468836,59.2333085106038,57.4311180386157,60.14601054924471,58.49436573117768,57.16111574446129,56.00230356869422,53.49890598417454,52.30093503773841,48.52311279634365,49.36598768957252,45.638025641747454,43.571007302745485,46.735418675343894,44.07545968283405,43.3726116517121,43.574401711691884,41.00231522483101,43.20992882889429,40.16594326145632,42.675357643336824,39.42351636705893,44.16458122764477,46.66331513489368,44.39962281459869,43.90619304082988,39.1629417193736,39.27802954314035,39.94969130350867,37.39163379357932,40.17451278759601,39.22438341770787,39.860103679438566,42.59528426821874,37.81388827522993,40.8571636290834,39.179075348323785,43.756088935452944,38.333402445355325,38.12587530882017,33.18894058096033,33.65622311885831,33.124928886333514,35.985724417070216,33.76267771226606,36.56081810198584,40.095821055349134,39.72754195034738,42.930283801662654,45.37180133627129,43.143936874344064,45.73275687748999,46.077191016912096,47.0189765051783,49.03958658284005,51.73162956694263,55.62153229417826,58.093262627553784,58.59919077160979,57.03790862660933,53.90721155430546,52.62177596529069,51.857020512760464,48.66818088018402,44.46338603680329,47.15246155920742,41.375001804070365,44.62496945697161,40.03626025628795,34.864521095045156,35.7487293083713,32.61985677172661,30.769174378272535,31.003927143054998,33.76831777382136,35.943647153468035,40.7047273978409,44.407529943832245,47.92055557843023,51.275187091775344,52.323936343721336,56.18357010071858,52.382646007520094,52.55958092550186,47.19729443776664,46.880829767671756,46.04876769421471,45.08425529771587,42.88204004344675,45.5607128751712,46.404366068701634,46.596155312722516,41.691722929859175,42.448642512376615,40.18849718216231,40.68411493300823,38.09271215677733,37.0383904467572,37.27251936516034,36.08572581102196,34.083432402355626,37.10971483345073,36.63728713255656,40.14464250808972,41.927247666051095,45.062093243015745,42.36241468444342,39.99922381062789,44.16112056254841,44.69982449642258,39.477419250313424,42.08831605834467,47.733303648168395,44.82915801094597,43.45486802324469,46.96451347690133,48.5722496742178,45.05752054119541,45.7410238350871,42.34600787407447,46.883379085154274,39.56995924543566,41.66355701973915,45.485988947143134,45.907928513851225,49.5110068259243,48.96364442099482,51.2903378959313,49.26149126317915,51.05682156406343,49.96445220895209,49.93087825961823,47.63273637005297,44.178719557985715,45.44363275264526,43.96834669599389,40.45332267630123,39.85006726707136,40.43122134936121,36.75966358776163,34.764647291129236,34.915448174884624,37.32737978155125,41.883579375968054,44.470379020666336,47.29653244911393,50.52389292611861,54.8066151982507,53.43845453324108,49.7470201568438,52.13059012773788,55.61623926872505,52.01630755311303,50.288314308817476,54.69957808842662,55.072481736120196,51.25307360081563,53.81713656519393,56.669127488955475,54.3352016300626,52.430488051902415,54.68035639738587,51.37985433979966,52.4512479309011,50.73858663783658,50.95911588488779,50.18212253445792,46.06191968565416,45.97627704114276,45.34216205624104,43.49320123331243,40.477415250816776,42.09959488180443,40.20233905782643,36.966697576866075,36.163523826503216,37.209675457254846,35.37706830704394,33.26882286322876,32.81434667324885,30.83492168161981,30.42292248488455,35.31405571129651,34.607995754133675,37.16381891743771,39.02928754317074,34.94440983691057,33.233759260074905,30.31867180862949,30.464713164794404,34.48572309549348,36.02219699212272,37.203329954073276,37.70246196147168,42.21714010396442,45.5016528100344,48.393832739575075,50.145090608444164,45.6380564454893,47.73597647017762,50.89260092535342,46.96026612697346,45.14920910060329,49.32288138083751,51.84245693164885,52.102292524662175,54.278236897806664,55.644378032407275],[42.357650492653065,40.0409857753812,38.127106392855744,35.917152588919755,36.7558733561033,41.10264882170108,41.49669918730043,45.90805384917227,46.10203822710661,44.895278927213845,48.11757517021129,51.59610659422461,48.07628097232235,46.11269958848102,50.820182666914036,51.3879596396635,47.168602695732915,49.545315978004496,47.68427197041361,49.87087856801552,50.57257914780395,52.2995402874798,51.35903631978133,48.051933525118024,47.325755816088034,45.53159114205526,45.3465194069106,44.57536065294042,48.50981047227807,50.919082466075,55.29738658890471,55.91894791715323,60.279192652610526,61.96766346744325,58.504993059828585,54.855619585787906,54.5758954188745,50.91575053247644,48.27193599832723,51.260066756030724,46.36525943594564,49.544799657620246,52.909052925247956,50.947174355835664,50.06785474060527,47.84860349058698,51.55719639148953,53.140655878895565,49.38698156039526,52.148242005384226,56.12630578727209,57.38740717829158,59.560032627680634,56.14004947124087,61.27423277330762,62.18109376627432,58.1294966151212,59.73979907153727,63.989778369343796,61.493901061120916,58.735828427567064,62.13271523505939,62.14484008036618,61.463484896301416,58.062588675311886,56.4608153523663,54.20618968754376,53.954746039690654,50.90594974629581,51.76074682626732,49.795998224892294,51.92609713006801,54.814181453594216,55.590964509194464,57.05905455500822,62.7208331919081,60.14377257169574,64.3788605586322,62.170240678164994,61.22720119846658,60.25856117338272,57.33978097071564,57.75026276215884,55.19118123833663,51.18795161903149,52.99966936616045,54.35335242756376,58.06849810763323,57.0270966669501,62.54506522591896,60.39296587281575,63.7448624891863,61.87554171031264,61.40911182471798,57.241126871654075,58.82154838922506,54.95962160118228,57.63201857065256,55.9654346318688,58.93307688600052,57.5216879151186,56.619653390416914,55.56636167324397,53.42478966427463,52.77489318337378,48.88950780667013,50.17790992100627,46.68573258289127,44.32907615847881,47.116877414556,44.07372949324885,43.152589169467824,42.768668284120736,40.14984080883014,41.83031829283334,38.723020929382926,41.13786375513199,37.789038863267955,42.27193592457549,44.795229334023965,42.271625323369314,41.845451325814096,37.121886654435336,37.50679317831319,38.38586599412212,36.48016067268556,39.54502836205969,39.04156958186228,40.16821437992814,43.259810180697094,38.83282050249513,42.32294767230297,40.68601736618837,44.965856868320635,39.295543162210365,38.47641853238892,33.752406067788904,33.47789979499436,32.34685342137579,35.30270300065761,32.66013836407184,35.65673490712493,38.995217456689,38.80667745976704,42.277749221952355,44.53087542636395,42.242268765925296,44.84582934381983,45.45653042753175,46.081842367853646,48.43804861639238,50.70951122333806,54.9078459298787,56.99888117495334,57.36947241054371,56.082520592798375,52.8783485015066,52.02051422519554,51.100233148810815,48.44977402417116,44.30922590003848,46.74619028728375,41.04907152642749,44.58374674552444,40.43143724724559,35.15514020656278,36.729275321464584,33.90585334371455,32.12456167558217,31.648823418488394,34.545076131238794,36.16377576964181,41.144574862933965,44.7599282828586,48.06391471725153,51.42020626368481,51.98313691906042,56.23198250958244,52.58988569875049,53.06545228233654,47.849280179387044,47.47724275800772,47.24059638704188,46.56805339692339,44.0497278810778,46.4817433961364,46.835830780643924,47.4776154332761,42.42732399425831,43.72990339854909,41.82040615292025,42.13406427718392,39.9172763145992,38.85325836538082,39.28729130831223,38.35972668173318,35.88249157619631,38.98096142096233,38.239930891603564,41.31507649790814,43.45054529007454,46.167201658066155,43.11174398202518,41.026661358036435,45.29504034704858,45.261166066418404,39.80861616639465,42.86148216660476,48.411396151448905,44.88252493503738,43.61340562848397,47.28174049656986,48.46193811781503,44.66184756326461,45.68799422079023,42.465119654525495,47.38186993486716,40.441742149414374,42.677162589875905,46.647183413079034,47.65992562555611,51.28861814893807,51.138017878834816,53.439742033629386,51.53512764725585,53.50712087457171,52.18748255609085,52.62590858361138,50.37165513410951,46.431168492106416,47.90525129411226,46.94790243094744,43.178724847995944,42.31973537255758,43.24565291813498,39.87056293993622,37.42045775044661,37.359050294407005,39.27991366567646,43.80487614190362,46.65142807013643,49.1678511950425,52.363369883621736,56.58330570143507,54.90617806189894,51.124172518184025,53.5711224367624,56.798403931505895,52.87625099242768,51.23224066359416,55.521426443455724,55.5825455724669,51.72083057496752,54.62769883665003,57.2183729856268,54.48180927364566,52.90862044978777,55.458258357509955,52.340066190138245,53.750760961487096,52.11974352766381,52.77056669183364,51.77345930202231,47.314055104069055,47.737057786714566,47.2682231266102,45.09158572222876,42.17385450905749,44.433967996562586,42.34319095646576,38.6461807350462,38.33815632663897,39.85725339155867,37.68103917777458,35.16522614539032,33.98672915016891,32.416507263347135,31.23571064766701,36.10643178625992,34.755817867270444,37.498776868830184,38.77093969756345,34.47341239173033,33.16033532812529,30.692765024431484,31.022327225042023,35.38276399528124,36.37594886354425,37.99113102491247,37.877414409177995,42.28293008626001,45.7123550550298,48.70529493369644,50.082110806946844,45.36524515493099,47.51466461736578,50.358709586353854,46.1290483727128,44.36897019530457,48.601915487030055,50.78654454292423,50.824658966294415,53.040121920615356,54.41937245980907],[39.49591725577135,37.37167974411236,35.90100763221523,33.61974851296093,35.08086965668004,39.13545228870418,39.846425509329755,44.34108451822068,44.39519699669329,43.49438222923539,46.698098922723396,50.17721676750236,47.04284382334492,44.93660606654623,49.81277770891195,50.57196570719824,46.56078386220636,49.20073800531892,47.67716129946517,50.06774968389829,51.01425968178514,53.04306864857173,52.21729504488158,49.07025375502497,48.174681322119845,46.03020661128578,45.69958462932194,44.55322303149523,48.29607363893419,50.47519047913991,54.740395300768746,55.28573083261641,59.594821477512724,61.55189325830323,58.21582274186925,54.70827508324372,54.36700362133446,51.09711673983533,48.63324286974409,52.01356467862701,47.188687649969005,50.2192069924716,53.7971754035887,52.017879236091005,51.41904245101742,49.37543101056999,53.22896254566488,54.50582230916911,50.69207541462778,53.75333986541894,57.547028814242864,58.71437180964577,60.76394196584401,57.08568247821729,62.15143027154534,63.31481704500033,59.22833206133663,60.5357582048952,64.9200232120221,62.69368767099592,59.69579687887463,62.86084311127872,62.60168095999991,62.10939527702289,58.824572100409554,56.97621215015278,54.49865382125532,53.93605912937797,50.752112528066235,51.25482099353017,49.29372816862344,51.36825112848828,54.33284178662794,55.465997877007524,56.82842372105445,62.68290840214386,60.29947250826441,64.44386575062425,62.38083072088937,61.69773889081898,60.58236219035836,57.88475256085099,58.02354786255723,55.686508470340684,51.71979994350671,53.25755856281183,54.70789375608156,58.15047726494723,57.1540745571722,62.4527359684761,60.18798259406537,63.46665632032285,61.369700919005695,60.718509701617386,56.41009412132032,57.78591369970335,53.79675573710331,56.609020677616016,54.808835872503174,57.61668924905686,56.64657210069794,55.67526678445279,55.01138592790163,52.76442191123778,52.519692942663035,48.36527762776347,49.664232843964086,46.30564990742078,43.602966103132175,46.27225536788367,42.967825464171305,42.32948863872667,41.64143573584543,39.332121757066325,40.98200101398354,38.08763058155351,40.74596501133432,37.64037321871457,42.269189852043674,44.43846814765997,41.704771304885995,41.00505993109911,36.295413364391194,36.48496186366034,37.09310505996756,35.543361142756844,38.23605743117389,38.1692203943461,39.445755291009434,42.91885339007129,38.50522193309555,42.194835004133914,40.93843306884695,45.09789085205766,39.44101732252984,38.33160669138438,33.497492468541935,33.19965592724907,32.00827763169169,35.25334595017124,32.93099784032281,36.36115956259034,39.37115210926685,38.95690166471603,42.602778378990884,44.485707098572334,42.002350357106174,44.30869259677051,44.78022641802015,45.01113155360829,47.25855553233469,49.234999860966184,53.465901539009494,55.202341702990275,55.77412645959885,54.77657143948953,51.72568942293008,51.0041228640862,50.33472846295242,47.82320401870827,44.0417157275303,46.679322236621985,41.18244391676786,44.993955966901694,41.1707572441401,35.91980639379015,37.60755600388175,35.174436767655145,33.03618122684385,32.245856251004085,34.97965519983572,36.38941797719391,41.502539636740444,44.98230595726155,48.172771266521856,51.33320229665999,51.730890015553335,56.16584252762623,52.81550778823864,53.273726250436034,48.30114358059497,47.47824638806478,47.68108620943401,47.315289705156594,44.75792286779265,47.43930981699381,47.72345341374098,48.794406868340964,43.90327281701573,45.23114559436707,43.38490122455943,43.344754962704556,41.05694986315815,39.69543316242235,39.959247213459975,38.86419860180899,35.99022317810161,38.844965648522965,37.64503930991479,40.547986208490215,42.54945272475782,45.08386714786006,41.91872209946584,39.68769981662277,43.88280670734882,43.618297562564095,37.944303974890055,41.02387902340187,46.54936473783752,42.72316355102701,41.31597438877568,44.96841381917367,46.071096566256195,42.038620346529804,43.02200188138181,39.914776290198944,44.91434787876836,38.13892553473951,40.62168141887003,44.591694558084306,45.92970018769721,49.40364930162623,49.601781888710306,52.08437407047247,50.41714188350884,52.63531424318812,51.40475835472823,52.145030654946524,49.70928982051252,45.61608001583528,47.427330620152276,46.692292059122636,42.6555742111341,41.875883877131876,43.218980589703236,39.75162877760633,36.960764123397155,37.292673988830785,38.62479311816625,43.45242213683782,46.29463483026047,48.42527459297178,51.76903649164193,55.771084808805554,54.15876744939728,50.30951976270532,52.46085513823701,55.62537744873914,51.63979565742247,49.795082857625125,53.91942445218337,53.854698691309245,49.88278992132726,52.800062789130486,55.24002122879287,52.31017952394338,50.746601949253666,53.3797994359422,50.377946023222286,52.06611178071792,50.677897185007225,51.486226685416185,50.15299544284976,45.65156923001425,46.480834458112405,45.879601578234976,43.472853974561346,40.86286644968764,43.36653144456783,40.93174451646901,37.12054683247765,37.32835348732426,38.89807184420003,36.319351399273565,33.66276298470255,32.11988760300463,30.54371168621722,28.919162218298844,33.69479729170145,32.20620682219853,35.236097542766686,36.33826541496426,31.83814284038138,30.867676937284116,28.571611702098934,29.295477155988404,33.84576384461016,34.90981181413295,36.97074046145853,36.76120432325826,40.655940536522,44.31244319330245,47.17889411225909,48.57731769114921,43.70336040186362,45.55129468072037,48.35189435505999,44.230485205640655,42.10626439705616,46.25321245181548,48.41683746793129,48.46501771753899,50.760457298984875,52.22948688595088],[40.53588684156049,38.657222915232495,37.65637016371407,35.153538691702394,37.193437653046416,40.82152583846347,41.66501827285057,46.20410891634684,45.938158072666745,45.11030419088494,48.175218282368455,51.76749166494633,48.8853857659486,46.47814678016404,51.40238060335205,52.395633130208715,48.48169551077443,51.115490477286045,49.58509713544294,52.248436044384086,53.141306249917776,55.38950061459646,54.437196987727155,51.325764036707945,50.57075262765292,48.24112407573603,48.06770522747917,46.788921572014225,50.46621627153227,52.640798119488146,56.58084853540802,57.337300290721124,61.54495389545237,63.56196787140021,60.39617008840868,56.90128899026937,56.73385732814625,53.57736989959985,51.26898853559976,54.92724889205942,49.989988312858564,52.76061450585568,56.46470168555731,54.847679635484006,54.26347670418964,52.372512312996555,56.23761231504455,57.45169951437155,53.75865832164149,56.974896793377965,60.69318616948291,61.93219179470158,63.86591325555854,60.1025487461285,65.09650818327462,66.25785923989011,62.073509030145956,63.24767784826029,67.65066731796776,65.45246486265994,62.25675304730521,65.23357237513247,64.86337262086967,64.25338818579397,61.11195764064547,59.27263391257945,56.46909336843634,55.85773689940737,52.42204362041546,52.789635117337724,50.686779420870366,52.52884745785616,55.713187115064606,57.019839139289616,58.56304105517097,64.4798381803114,62.37397865264705,66.53506635016923,64.67177099592749,64.18618062271625,63.17817868751884,60.68197716805291,60.839959338238835,58.68201566833945,54.67654210402242,55.98522004695935,57.292663897299924,60.6594787474011,59.45593006448746,64.62681811126347,62.15924931336915,65.24748759332586,63.068946666116005,62.426564623271645,58.08345533808847,59.2343860837002,55.21240021231234,58.334212331848995,56.57523208149031,59.4304242249721,58.738736488603585,57.94093467263168,57.45220173898548,55.32955128168342,55.405675591994495,51.157260561116615,52.581824959101965,49.35165566603571,46.463200932751334,48.9637127034764,45.45900678456777,44.86512292129575,43.842781177619514,41.64773381287355,43.01741010445058,40.184433760834416,42.8093275680576,39.730570656821136,44.15494039957491,46.270026325754195,43.36795247880419,42.659631675378655,38.03300496529913,38.321550082916005,38.939145484226856,37.84373701698419,40.47181050681112,40.7434173947214,42.22101838945441,45.90015008664526,41.618624211701004,45.445495042482705,44.32001376577668,48.3510715576027,42.67049978161072,41.31274898197271,36.56638691546665,36.022600587746815,34.59127755522959,37.88751939514248,35.440311662521964,38.94873107610726,41.79545597848422,41.45798142482606,45.2162462150175,46.937126592803715,44.41355716186174,46.63494838079042,47.182541898672696,47.14269314423761,49.46918831628696,51.12890020209455,55.470917245052384,56.86547867996427,57.47234679717044,56.731483831530674,53.729254916824,53.24961140707022,52.60385855366147,50.37894086729452,46.7554530524977,49.31047387814035,43.935513808892054,47.87488770635025,44.29695636049724,39.058357980717034,40.98266738334722,38.69115599972851,36.56143664269007,35.53376423621311,38.25442934373758,39.42663092289725,44.59265507236277,47.988813010824984,51.05569675666617,54.15345524278898,54.31267937049766,58.925757417187,55.71660026732495,56.281454445873884,51.434306009523674,50.504261161081864,50.98745711239524,50.760660687422074,48.12033606463034,50.73451707634811,50.8274097130491,52.083098888829795,47.166492186862264,48.6859326484594,46.95960024792271,46.8551171010111,44.67349327227585,43.27740451453054,43.54951642319998,42.46098374762195,39.417358082618144,42.180272404194966,40.759911566050434,43.49809713573335,45.46563710718699,47.830048168875855,44.56660982773383,42.3112312743756,46.43906786655153,45.948365674811384,40.13433875338153,43.25812843223574,48.716336790730146,44.59801378385767,43.10117303405703,46.72528555035002,47.69681443545405,43.43576285257651,44.406802543353976,41.45880082238586,46.51296427404991,39.93928899648333,42.665539519548595,46.59948118084468,48.184668936550274,51.470126691227,51.95928820409334,54.62111370391105,53.15135788307164,55.53538386212511,54.38234427293392,55.29155425000157,52.73466119993642,48.592873970239914,50.599734570773286,49.96379961832013,45.79883744838787,45.08809312706229,46.63404862133366,43.107327243477606,40.172698866636644,40.71309516743988,41.73078923133913,46.67953879511216,49.5283931490626,51.42850986040704,54.8334037167723,58.69750229577743,57.089142836119116,53.2101661084726,55.19508097861081,58.276421485479354,54.22077182377539,52.27780502948716,56.253647377171795,56.053143533126345,52.01869916812996,54.97195287513108,57.25146025533141,54.12379827463342,52.61934215313661,55.33313519782282,52.45658494220583,54.381976228780665,53.192513199713375,54.119695886273234,52.52320206144582,48.01725858002536,49.15781237631699,48.442028946701875,45.87445302416883,43.52944794053164,46.157689382133086,43.45332473544636,39.63239164651182,40.20997735226945,41.731113350568215,38.86136120762308,36.18075500173121,34.40053328311833,32.74470787158336,30.777348184891647,35.39760476740885,33.82862808166434,37.12504818157458,37.99321493840886,33.328751585970465,32.74735448452569,30.6776698717361,31.719314579889243,36.37881822080304,37.39554961350245,39.759506210152104,39.36279609603421,42.91980487023041,46.71002633017334,49.507345758536566,50.808927674365165,45.82605684063126,47.48489523073282,50.14422954423956,46.02450982969554,43.706292074008395,47.7666320089045,49.7888085869551,49.75932572837,52.09709735579083,53.61088482486981],[37.07511123956786,35.32198811528267,34.611608144339996,31.721625870748934,34.26714732476744,37.363581334531965,38.25899230468517,42.81061813329528,42.21981726961258,41.485649776812124,44.424189480692746,48.07856629516266,45.49819622806148,42.85715679243388,47.840646741967475,49.0489801822528,45.32343682134324,48.076020877295285,46.78474445888477,49.692514097874756,50.74200492145405,53.3119890377995,52.421835645622245,49.50349339886034,48.6524776301679,45.9733600296722,45.76579279987021,44.169731993484625,47.65461945060396,49.68952157761524,53.33988019003409,54.18961321240059,58.281504238231506,60.45154079043896,57.47710237535563,54.09033319022133,54.014283395221675,51.17720028269652,49.11468100108194,53.21708916658302,48.28747435599393,50.74866757330502,54.66217414910773,53.310353821703735,52.988233996297005,51.38337745152971,55.36160422683823,56.227638842613736,52.60803836636945,56.19697974968139,59.652729409336374,60.8739821599523,62.584456442899565,58.57845196323802,63.42887875949064,64.77194664418276,60.51452809884537,61.35327598168258,65.84374146265701,63.901476743771596,60.410559949754195,63.08156612102722,62.44461213372729,61.94763615034682,58.979910365856,56.95358912229924,53.861751165568776,52.99922408925034,49.40091021210463,49.47034070225253,47.34263422906873,49.07450738051009,52.34069974904108,53.94962213289296,55.46132607672947,61.502692208395075,59.66048656546743,63.74147716082536,62.09186265580307,61.904208337324114,60.87971425832297,58.694959373101234,58.723598026408865,56.874817028006646,52.87594272010459,53.806902002440616,55.04481224067781,58.17199115299076,56.86045502420128,61.78836448246437,59.155071386920156,62.092434503192194,59.74836045372437,59.012062115206945,54.60539268704063,55.53948091105929,51.468080408322926,54.80903615720908,53.05021814646231,55.91122446163994,55.54092293689957,54.92017757990033,54.676672220329095,52.70876986308946,53.264783260021446,48.901611944374544,50.56926192451669,47.593798695508234,44.45652106411448,46.629311748310975,42.869583485677154,42.273820348852425,40.82678646950733,38.80619861142687,39.89114851247665,37.22186954185917,39.91264676201649,37.04098654831731,41.41230219227728,43.23043226526864,40.15164138287449,39.28976189589879,34.77538072241578,35.036850158788,35.5814269263114,35.010579654215455,37.55325255230269,38.249777523683704,40.03649720296434,43.996870311122116,40.03986521149613,44.13133269097931,43.21591998456749,46.92831772359203,41.239817640846226,39.43846350890387,34.902139916748766,33.96619924379122,32.26188062392144,35.67238087728745,33.361442256918146,37.169916567329324,39.624010888501125,39.1883849807243,43.087102799760494,44.44878388695886,41.82318436760251,43.82762154935967,44.40989042388172,44.02371403294573,46.4354304776224,47.73396366168131,52.19424544905716,53.258282546922544,53.85311696614086,53.366140156621285,50.430463884638726,50.22693454105979,49.634228612703296,47.774552280928795,44.43283767426173,46.94293531828448,41.83323542742828,45.9939224641217,42.89776458446002,37.76147028483811,40.020822963729906,38.19253605700055,35.93836013136148,34.406705101164704,37.00353180314511,37.74361310546803,42.961569733947364,46.164423023951784,49.01158534062025,51.95032909876104,51.78731852069057,56.626104743228936,53.702872534078814,54.39098426299216,49.831013256149056,48.63514179380024,49.66223968567277,49.768484400938426,46.98625818222112,49.59292258049193,49.42077286092994,51.15904195804253,46.38970928292244,48.12678695258356,46.639735316928565,46.204018102823035,44.21185354943635,42.67103457747905,42.9681601099886,41.99783304962941,38.56757377031792,41.21835101688462,39.52064515115402,41.827494762261836,43.98470647530943,45.945155659558694,42.470886777978855,40.4637941737012,44.57212746245241,43.616638428023656,37.75443234161525,41.166832165698466,46.421327993675284,41.88191883859189,40.52332180084098,44.213889840274625,44.80517972037871,40.4252606013148,41.70210655950651,38.95122291508409,44.241203422407466,38.17372310208113,40.86453968518571,44.85724183096105,46.938331325752934,50.254917490560516,51.04807691845755,53.56704517244895,52.19640500342436,54.68625332499063,53.329763884313856,54.67309715091215,52.209514659482316,47.67520523036841,49.8456659025128,49.71824937808402,45.39230532484713,44.461014333459374,46.32669411814032,43.142492349658106,39.84772613944579,40.23783754177135,40.726395733525564,45.585084427509805,48.57611386934645,50.12520303207794,53.47212468641896,57.19463283747269,55.380631111761964,51.47954754302997,53.4368222124821,56.26128342713827,52.01219410773823,50.140551537621285,53.947827923837394,53.49963456182058,49.49047704848564,52.68095351189967,54.71736215341952,51.31661675404201,50.11607872116018,53.04533910558371,50.36150835893411,52.52583349332856,51.40732386580524,52.70445035449402,50.97444304346156,46.23222012618846,47.7850499704067,47.26869836876214,44.47324274503152,42.23298358969204,45.400527328712656,42.653460816555786,38.472803060791186,39.44490357215283,41.41683477101285,38.38677982986524,35.38021564832844,33.00321375391237,31.919024411655478,29.359785093305277,33.779028874365906,31.604552271249187,34.875181961234574,35.20651432787917,30.54366441548361,30.295453132450515,28.71635219636922,29.851722711748213,34.602258846379016,35.16263475173737,37.85869479677088,37.033065891320426,40.29242753871749,44.14705078850804,46.93738317866581,47.96840947409253,42.89816918052105,44.5103417348656,46.903918684207476,42.68281915877409,40.38102025155128,44.40801881226254,46.1722640573823,46.00312335342938,48.3487591534209,49.872276412233596],[38.9462257758906,37.459430292124786,37.20292154992953,34.71790213191986,37.58327845510232,40.722740339891615,41.99845458314759,46.553416274220474,46.099068618621516,45.69581035839711,48.66813802963615,52.21333098897689,49.87895541368353,47.310975702956306,52.365437612511556,53.59694930280371,49.99232170774101,52.88269289870953,51.735814593233414,54.611587183895,55.739996352261315,58.290551798616576,57.44398901615531,54.518043303198446,53.62639764150525,50.96200321752942,50.65933819688726,48.99668966428641,52.41019787794999,54.29717212240816,58.03260873181556,58.709335901967044,62.805130310359004,65.12193668574362,62.142702112325445,58.84353570359014,58.61787006649678,55.93012373895043,53.84371630061724,57.86812466595664,53.04834507845191,55.63386628884211,59.52577780219927,58.098436284054785,57.77870993821138,56.057609073581474,60.02830058834479,60.96001042008007,57.23154078856607,60.69639018879537,64.23191613241619,65.3667431500041,67.178843761424,63.18065277482289,68.0791712875884,69.4922255072706,65.29889257360695,66.1646388588269,70.67391095231235,68.75442239781208,65.33602586470506,68.04686289726375,67.38874638310786,66.96470079198733,63.97804044632133,61.90595036528234,58.86047784273074,57.92291363774745,54.346339626716826,54.30314965087923,52.20816488027659,53.92012256426246,57.19154927060443,58.90241045551214,60.34529893635749,66.42804405484247,64.58222551322486,68.61518094951572,66.94133954511727,66.74934838114136,65.59714493028504,63.35866077448519,63.22209864254041,61.31319480379356,57.38845173754045,58.39813129005727,59.79577098015899,62.834377281835366,61.6811416231765,66.55681670636325,63.9661051178769,66.92354235458268,64.49678639762422,63.648230920344744,59.180828921245705,60.04613723280743,55.91365207904627,59.2030486779803,57.3019861059253,59.9178450885265,59.804039135828084,58.92242727685561,58.92070223939023,56.680341031590416,57.21638989354998,52.70178713520592,54.08017377833626,51.0300857804781,47.786493186211274,50.13770735752639,46.38464152129865,46.17739019267865,44.815076888908735,43.05136436423099,44.351447602560796,41.82982713125765,44.66984996950436,41.91587954070563,46.385290273288966,48.08457168834834,44.98017435396575,43.97630823404256,39.479288175881194,39.54358127711871,39.81448980074381,39.19364799063454,41.274940082489984,42.074932455745675,43.67076479206461,47.7149591585098,43.48588258503962,47.43012795921076,46.75225457123894,50.62787118964677,45.06621083383567,43.45669321738053,38.66796439258162,38.162175105675445,36.719559267003746,40.24342206830595,38.175725376944314,42.03402406913656,44.505368098747375,43.948966419895015,47.82893184158613,49.12970664685166,46.43244714609636,48.276858145165654,48.647781752942386,48.12643085217145,50.265250934789215,51.517166267247134,55.83035349840219,56.721745953698324,57.60800606140557,57.265884530395404,54.505515919534716,54.201019929638655,53.881069892024506,51.8433130808194,48.69447348383988,51.44437090723445,46.36704334412214,50.53727691758232,47.32694081685086,42.190513492820315,44.161717616569824,42.248516636704025,39.80803873224376,38.548748012535405,41.04589813415233,42.014812283419936,47.224792350299104,50.4351304198475,53.3494331954324,56.192017610556775,56.17417915410355,60.944373039235565,58.08723460600698,58.61358546992274,54.072118876404836,52.65909915386196,53.57958893621206,53.656411852807366,51.02924164928632,53.88974249910115,53.932134902842705,55.57963141903201,50.85841514992469,52.363652018419145,50.685293335551144,50.26084885389661,47.99620608651364,46.31710990412616,46.38434563028782,45.0928104028455,41.72702869180295,44.14654350640122,42.22878171273647,44.76445335177294,46.45521186071712,48.605791799790566,45.3048696198268,42.83845802328602,46.75826969272723,46.04092823171727,40.05183150433432,43.0553737882599,48.39507665963976,43.990126805494924,42.268873883705616,45.75766163679673,46.66862893251679,42.128838757301146,42.92235710462051,40.20886131370414,45.20851914831449,38.95043337113321,42.0360834218452,45.84577243789661,47.764413115069615,50.733032434788775,51.66790902534239,54.61299069872621,53.515092925090826,56.19435304432027,55.25304113434258,56.44979876163676,53.643548892586,49.48070463294457,51.88126590343084,51.409955937533795,47.00476665901374,46.48892843706938,48.475088940111085,44.793487989746254,41.58623887767733,42.677865107135595,43.03024026842818,48.30057490609385,51.054025259773326,52.47690408689548,56.04943982670175,59.583298620020074,58.14237349234199,54.23472643400011,55.76907024102947,58.775046047864265,54.73165484208793,52.508120724204176,56.206565463105576,55.870968154794014,51.72665077645016,54.586957589431954,56.64829373601236,53.32248366984332,51.78536864172596,54.531185905287536,51.8432949418862,54.11479396209731,53.306726126735875,54.35263979416069,52.29845359713847,47.88968284709623,49.5149905144022,48.54857959393602,45.74994332354215,43.91415274101245,46.675764135716605,43.52014514292462,39.75728492385644,40.97642267724717,42.37518327772607,39.03775024146346,36.35180593687433,34.25610205187127,32.469805717043904,30.038919556721954,34.32835440350072,32.77631538829282,36.455496136333835,37.130750351626645,32.288247341229585,32.26293652378568,30.46785020864347,32.06433701658018,36.785132307751034,37.97443645816319,40.82739227194662,40.38828670639335,43.16950990304509,47.19362429792888,49.7480491895953,51.09871679486685,46.002061159389754,47.17303799220534,49.752009116376065,45.89099756033141,43.05845965584166,46.88622303615761,48.871042358327664,48.867722262173345,51.284521575236155,52.91454283167689],[38.87100679929049,37.15175410904537,36.468019085187564,34.449942654819985,36.729215156683935,40.49200538904172,41.77291217921351,46.30774072319227,46.32856330065631,45.95327124472699,49.1391917430445,52.523165319814794,49.93406811561745,47.75830665520984,52.80674420353515,53.75227616040655,50.03702212468731,52.98405896510346,51.85689455735878,54.39018729990383,55.588049559993564,57.84492484486183,57.14321486433217,54.13881431204369,53.08926495973437,50.678351229309015,50.1694914437153,48.667402511102324,52.16809134750212,54.02959460248637,58.2283418934918,58.58343107475123,62.83027046760598,65.11800873916346,61.90289759138314,58.59721845390269,58.09910930649463,55.2885406351505,52.97685451824288,56.60197136846635,51.94669252580745,54.91922931724202,58.636773256404204,56.95944643086129,56.58605171722418,54.6079452940341,58.546602987312255,59.6253246628102,55.70819384336928,58.89205249384487,62.580769646916075,63.60281226108721,65.62096142397637,61.7594204807739,66.78073449163617,68.19856706851512,64.14932494774533,65.22697123039468,69.71509831181032,67.73092540532058,64.60542745746076,67.59621060423234,67.09929297866478,66.81535797750614,63.62624703784078,61.551889784548884,58.92660354157996,58.0532505959643,54.77776568120072,54.893416530087336,52.96212654528542,54.95746526752685,57.98652064360993,59.494801245100305,60.71950029259609,66.7452030080424,64.53671288921679,68.55526936155331,66.60700438141562,66.14067249057914,64.81611104786548,62.27562010953613,62.06822508160536,59.880622959519194,56.02576438889415,57.38336898869424,59.02182966828722,62.15335597973735,61.312341436070284,66.36361788697678,64.04030259321554,67.25569923266687,64.91048422842748,64.02194007766452,59.56481893444574,60.702186722757546,56.57296210966315,59.46492630100596,57.452172629808,59.925683271123226,59.539664067969206,58.31867017075552,58.178701039786624,55.648907464203646,55.73724241672465,51.26895226825158,52.34326438099596,49.06745687534763,46.01132237418864,48.691343867340834,45.193408957550446,45.10567889150677,44.214023554496,42.3943381026757,44.147383468206726,41.576780561208004,44.52268516711202,41.7387885349564,46.504062646578035,48.27298490638063,45.35327669159568,44.32217429907015,39.685224130262995,39.56827777461052,39.732411813028065,38.500829665192725,40.48508879145348,40.89122369458287,42.14077299858391,45.96682839268356,41.407475464957436,45.102221775778375,44.365291981559224,48.50658976015998,43.02477249524455,41.831052289951195,36.78833521314274,36.793811649487715,35.7533958285307,39.27597981958285,37.41897270559866,41.19339861529014,43.908297801399314,43.23020454860396,46.974488309600694,48.48279634591687,45.80361025869753,47.7157226153388,47.90869117596736,47.68698657043365,49.61898597916773,51.281005093725334,55.40533292371359,56.68612062946959,57.6555730144268,57.02878129310337,54.26088485113095,53.590533987494275,53.3481418773925,50.8447197022037,47.551069745635495,50.51210770564486,45.26145972423202,49.2745675178291,45.677462516218235,40.510875761558,42.05435720542418,39.89770596483882,37.372842297962066,36.552709042765606,39.03141006583825,40.41676206998597,45.5692601160489,48.90536910706219,52.02269341058949,54.92176862900255,55.28444001847075,59.798935127066024,56.764161512574134,57.08326325925662,52.36345647595875,51.00641233696499,51.48984891323602,51.354447937694225,48.90965646910362,51.96210071773522,52.34825950156462,53.68435932362673,48.996118132969954,50.15775342608821,48.22964117042061,47.923592384164685,45.39372751406362,43.703993005436956,43.64515763016727,42.17178705044545,39.06609038981516,41.48921266797142,39.74181594001279,42.64378155075376,44.1303601585018,46.63625310980692,43.54620913549255,40.84331464880875,44.77783355088071,44.50544395975042,38.58979346047823,41.33086311676037,46.85697870126522,42.904121920309436,41.0943241468833,44.542151772385544,45.8244491641997,41.482542148059046,42.03361926844659,39.08203506986512,43.88264553503191,37.14646153320111,40.15269734908438,43.939469834335156,45.40987456036956,48.440495884811554,49.04997057131747,52.02370113404999,50.79484954380336,53.36201246977649,52.557693483270334,53.42161107788411,50.56845201041046,46.69243275145326,48.95954910320601,48.12638668779478,43.842036906680185,43.48582072476037,45.25986391801856,41.33656840136051,38.37469229722449,39.61701393934208,40.3253575871575,45.686709491773826,48.30307279924939,49.98871740329578,53.61449198881295,57.25284458497176,56.00777564512114,52.12475783284258,53.66755799433509,56.906249241803756,53.055673038950495,50.76798043998943,54.63593668932297,54.552487220553495,50.40013912396821,53.0423774639242,55.3589733264392,52.33683820859806,50.51867431245092,53.06144015979507,50.173021968669836,52.17727925185233,51.25990351509662,51.9900978066205,50.11293374293245,45.88261746315502,47.11379670890378,46.03166463122829,43.44572921362261,41.46149277089536,43.80881170075173,40.761041987141084,37.24541646392116,38.10149653522185,39.210445315524126,36.05925077265813,33.58986810376506,31.9862761354381,29.832509193781377,27.9444761189697,32.458011725537126,31.38255065925517,34.97234718075286,36.181013674392645,31.399023156561896,30.94974496285133,28.68184064616268,30.13496766591338,34.75048393888711,36.36614203800072,38.918596280617336,38.92908021130041,41.944854014273375,45.90335825915504,48.44862512721393,50.10340269227352,45.10812671763057,46.325188361370515,49.21024660513326,45.49163670335983,42.64319295552491,46.527980117060046,48.832082601972914,49.01326843990666,51.42260231231634,53.04683741317637],[33.2414969401748,31.349744730790363,30.457062794140978,28.220267750107034,30.496870258294823,34.173156853891044,35.40985679405685,39.948826205856925,39.97189458973788,39.654111790774465,42.874816794234476,46.20361933831337,43.690527691780495,41.589631528668356,46.67721002864993,47.61017003139438,44.00833277273311,47.127481794949134,46.30787526333316,48.82264365990949,50.27660738821074,52.673393315522496,52.189331026779776,49.37583150166965,48.051936915604266,45.428524844444226,44.68959128215445,42.943573299415156,46.28513870501461,47.97330806487257,52.21591595866241,52.427946872096456,56.66324671546385,59.07831634669272,55.8926228547277,52.70167450583995,52.10493068485184,49.55866960204202,47.364088227539696,51.22651561964413,46.70667856442048,49.6015270221595,53.433319637770076,51.901454212941914,51.82990748608016,50.03297788166515,54.093568071196444,54.820253332842555,50.860908743916134,54.326787939338026,57.777098808124634,58.70185257176649,60.57688907514178,56.512930260742536,61.44285351572143,63.08434324953323,59.05065596695426,59.86644399881388,64.44908719335325,62.74019319881935,59.4744285931863,62.30700457896532,61.61555458557326,61.59629335940395,58.456578528959746,56.1472557162185,53.5445730309902,52.4210263867111,49.240196381620216,49.148578157929194,47.35384266088346,49.48976591753281,52.36104075421093,54.03419144154518,55.010635900874256,61.1182487876681,58.90911191497155,62.81447980522005,60.89471151483485,60.564416204931916,59.093798398380855,56.700513883273764,56.30446242171795,54.29081984971038,50.48171503685936,51.6392790058348,53.366231777022776,56.29251515752725,55.561667973260874,60.469338424989914,58.17689093183489,61.43359735366655,58.978089650218806,57.96104823855559,53.45692029492563,54.595883551531294,50.433812224093465,53.22844912961179,51.15169167334624,53.57085645984805,53.26371911152755,52.038641085988175,52.00951867683396,49.5003101148337,49.819113442085154,45.2805051824648,46.50829691642614,43.38504730728267,40.19400472080696,42.68317426788163,39.064740008374464,38.95461810644915,37.92426303972331,36.20214309218162,37.973251311476815,35.53891786612409,38.639925634812286,36.08872900381943,41.048858811313366,42.50978689446284,39.5670050991188,38.33829235890316,33.72350680123535,33.41785757448945,33.438263502059556,32.29523945236773,34.21193862549208,34.771811503272346,36.17708594929468,40.167352694583315,35.817966623794874,39.72342929695113,39.122440284698975,43.03023961648873,37.54145523967289,36.06530924037978,31.12219284751371,30.953730547624573,29.875359987521886,33.52817040426476,32.024236118252574,36.099276763568156,38.51685501991885,37.61089719703086,41.4094328355378,42.655527915834924,39.87864026141069,41.610744036070365,41.737450161334664,41.38969558203382,43.324608804793115,44.92458133958625,49.080881650338526,50.359707873855626,51.29140129964422,50.67738805983199,47.93079564784382,47.3043700306442,47.11774797228207,44.70785860295998,41.58255425087956,44.617822765778804,39.5419011621297,43.70256067643454,40.41536858395309,35.355162523094855,37.039784374964235,35.314266372669415,32.59039591477088,31.394855681669977,33.72778445045477,34.85449383770739,40.03928327048479,43.23900908363843,46.23729380004893,49.01272973338072,49.25820287995771,53.85930914255975,51.01402330466476,51.359074726539845,46.84430848434824,45.25245330744538,46.10541388683464,46.23628831347704,43.70445239674993,46.843344513389084,47.124552501081446,48.85499532199394,44.37610900269749,45.59041158399258,43.82027444299941,43.167635695785535,40.74512641634676,38.891885174166546,38.84194405102683,37.49210645469665,34.04330906413787,36.429342034028565,34.53407404195229,37.101400701686984,38.873081406410556,41.082941491706656,37.80706089017973,35.402522906459176,39.43510507725303,38.83092553482541,32.92812008288224,36.02506870505606,41.44060347213419,37.25025959693352,35.69204164375429,39.30590820989703,40.28215653316905,36.00751019998527,36.96544336909485,34.02678509826301,39.13817943623302,32.7215698580723,35.43205545582949,39.391550620864464,41.23868491591473,44.56557711359565,45.23607231708141,47.83409913986252,46.489508727871524,49.01945455732153,47.85561598164979,49.09605617024182,46.48554302481839,42.11924642588474,44.396695553899484,44.11092066763029,39.728261722608565,38.9999883684568,40.98071035307472,37.552062080037324,34.242842241205175,35.074131697889314,35.43327596356225,40.60436639851806,43.41238577858822,44.91526223415228,48.42450243904583,52.06205034482534,50.546045625292365,46.64168335863778,48.34553091752938,51.379472139712405,47.33955979150145,45.229309522107826,49.08930481715277,48.85278629539331,44.76459479739545,47.68841651211407,49.90624232240259,46.748166046129306,45.22340001361924,47.96949204097041,45.15138871185452,47.20153447170562,46.134412919347945,47.210813420490744,45.45278156303881,40.876745166412995,42.29467096448884,41.597172775508355,38.87174063684571,36.69156420638709,39.63513137021792,36.818025031046965,32.7801282185994,33.74856463165787,35.53782771132803,32.47161160084026,29.544445493257804,27.37119608271653,26.064811880033908,23.720128358429243,28.264188251199965,26.43893894005504,29.756128358391255,30.588487065338075,25.894476112438785,25.39016340612724,23.4259991265662,24.68401974897303,29.400666416556316,30.531340585503226,33.21652118285228,32.91665329411515,35.95543273213023,39.89495204805826,42.530027409912414,43.9919915763231,38.96096863926622,40.33762458179133,43.100544535072025,39.23342273950879,36.57653978068682,40.56588358630342,42.751783810601076,42.87337183781798,45.26662150693559,46.85962271648045],[33.30266468941846,31.80842613017777,31.647320383321226,29.233325606828604,32.32064188354281,35.37482888785588,36.87821987755966,41.41979069647636,41.09331985690681,41.004633120701996,44.05087968542985,47.434222049625326,45.357417336155336,42.96127649418006,48.10764999418656,49.31707107524302,45.934557905130106,49.127503632649486,48.452849279737876,51.24908598469051,52.74239721028215,55.41281591211441,54.872221854649496,52.1639769192452,50.90415814706011,48.026734334862105,47.36969584266696,45.38976972581733,48.5610247575669,50.12888482969663,54.01012964034184,54.36018212269942,58.452007418372446,61.02089427056036,58.05496073001181,54.962066659955795,54.48711177992972,52.21687771899527,50.239828179292914,54.43742189582719,49.889033367859774,52.49661732747037,56.479117292871884,55.14862980970805,55.18199739687891,53.57124227061281,57.665201638374164,58.24145529242096,54.37881036558892,58.04620681074493,61.361238461319054,62.30562337556892,64.03700812847705,59.834526726920224,64.65566662426923,66.38291655269758,62.27954123075866,62.8748214549455,67.49600501142524,65.91676057240893,62.42386086129514,65.00288572553617,64.1180279753375,64.08061078039093,61.11837933476367,58.7351699989063,55.797897837224575,54.51599417878911,51.09950202205334,50.74115369976934,48.84957734286292,50.74693877846671,53.808880655389046,55.76930705337004,56.840304527112366,63.039915402852735,61.153701853778294,65.00976632124782,63.32470449572188,63.261778899353224,61.828284667147756,59.70013248623232,59.21654534606679,57.446091461460355,53.65276464245496,54.510731692900784,56.145233569611605,58.87799216383481,58.00262844357072,62.67932831902165,60.18805654870038,63.23459479663986,60.62612596910962,59.53744462530502,54.97428033437087,55.81772740817211,51.60209097808816,54.69876996995716,52.610377688536,54.96603351940715,55.10964068072295,54.00582263701074,54.30243411762371,51.87288560018713,52.62778099802431,47.94808982298707,49.26552651183986,46.34258891992552,42.89835190051078,45.15947840269614,41.3112839381847,41.372219244714586,39.938216368417905,38.486861179059225,39.97458394142987,37.72922236640984,40.851439652670315,38.461012939535976,43.237605056027846,44.48902026923838,41.35474230536806,40.01437337475415,35.560004091005084,35.25641199147599,35.155086734115685,34.5959610055446,36.23923735167362,37.278986697923735,38.88845074697329,43.13835030537555,38.97417413283618,42.998548376470964,42.65335870288259,46.36475272097647,40.9397857691535,39.18193371756946,34.37043329475644,33.99506719126631,32.71703700344146,36.43888563342124,34.96674684871696,39.1813120330664,41.323538614777476,40.41375743985101,44.31707445129671,45.27460448644358,42.42474472077622,43.937469366401885,44.06559651127174,43.314704700826546,45.23521820899402,46.39887406042721,50.614822338694644,51.40428366447441,52.46657882436692,52.223567623535914,49.62343448070892,49.27199492715767,49.2253212151923,47.14433421354518,44.344020134519,47.35244461805956,42.5192606488442,46.83315562389192,43.89411635520059,38.913895866875094,40.800887616924285,39.31464617471654,36.5409353864233,35.090843544249545,37.32330446546121,38.17027850152596,43.36508111198795,46.40800904769291,49.228661330472285,51.84609296302605,51.826234973197074,56.60743514462833,54.018728403506934,54.439469019293746,50.160333108016175,48.328416219489256,49.56163241035835,49.90854006141515,47.3238730416851,50.46407072333602,50.567239633996046,52.570764061157114,48.14962663719362,49.51346036160632,47.866401611634764,47.06300251978717,44.72598177882544,42.77726538136353,42.67828253799896,41.292252842275474,37.638541828269865,39.81654614321256,37.596956058734236,39.91085456511862,41.55214522819588,43.506262098815185,40.157839778788485,37.70072367655315,41.55850928214366,40.663764077999296,34.642353143993795,37.712976836347075,42.964842429394395,38.43131749790285,36.73479265531421,40.247260489081135,41.05686316599544,36.50098202144857,37.39493617585082,34.72205722769345,39.836352990599515,33.8043489461615,36.82590756707212,40.676228883177494,42.868715657241346,45.90592558319546,46.98925473690782,49.80628355282325,48.76813823374315,51.52219542004298,50.49000745804808,51.97816147436641,49.20965772688377,44.8108573401901,47.36772681937599,47.24228644200661,42.70735120627734,42.0956011810292,44.376859964903545,40.89464106386656,37.40772376197307,38.5628430978522,38.43330021978161,43.74597596418188,46.51101334458906,47.63976707543654,51.22531039034399,54.608455071464974,53.151446232137445,49.239336331105264,50.63764054260454,53.54408355501549,49.46585826964504,47.19472488513757,50.797302023614606,50.386775374884564,46.23433678238023,49.14952129756417,51.127276162877585,47.731558189823545,46.27215225148024,49.09593153609733,46.48047076749338,48.854861987830056,48.09946623065906,49.32916736737432,47.19710685537862,42.673180146975675,44.532635494348106,43.67038196143128,40.74059931145061,38.98970250468157,42.08041442149658,38.909959073856406,34.91284580212844,36.419322254150806,38.12383634666435,34.69011883141787,31.767245375902927,29.283937957345294,27.91883687072215,25.11064320711347,29.29733923304637,27.391628291547423,31.04189747637574,31.54891789912699,26.703939915013496,26.798496874551127,25.212177429929547,26.930376422317828,31.67159612499738,32.77929313027411,35.864390031940644,35.37551458116878,37.80262990871798,41.89953108096859,44.366066205646526,45.742751407831136,40.61560143610003,41.637928484263625,44.21875093804727,40.474712049857686,37.47663537627524,41.274519943289825,43.29322677828935,43.36015073447894,45.81532228079651,47.47897092357908],[35.11144337158846,33.75109341991449,33.76694418169549,32.07887786770416,35.04895031742441,38.491572455067555,40.32758170018924,44.81632865562858,44.906525575199296,45.124855525747954,48.308174987147375,51.479591028756154,49.4767375959534,47.38898731623184,52.56730392619778,53.62154535765609,50.28933838392058,53.61869861610461,53.07169478262719,55.63901258291869,57.23394258365962,59.7167286193265,59.295970671458356,56.53434914823088,55.15485776076202,52.438759311513344,51.59008458635878,49.65643295342483,52.81024060218904,54.231244024058824,58.447260144637745,58.45391337211474,62.624902308838266,65.30199565215196,62.20011054497966,59.189018107359765,58.423145697958844,56.21903488692273,54.09551507523063,57.984321034182535,53.63923757202682,56.57040289329942,60.4275012344439,58.89318153470621,58.90635721653229,57.055336358942654,61.12039882766469,61.82636232361882,57.765068705242506,61.16172618792271,64.62184655287831,65.41754046008272,67.3518199191542,63.23836992877788,68.16137219482363,69.9588990966407,66.00283535222542,66.73862520280744,71.35941941419406,69.77279569144208,66.51167838916764,69.282866803277,68.4728348393309,68.58191727947603,65.4885295724515,63.06558894379961,60.414275524562534,59.10969224339717,55.89038410846539,55.534848644615295,53.76626355103046,55.80615754973712,58.7305025426375,60.65318004118019,61.53947535063255,67.73206191873366,65.63308513041484,69.4332304603826,67.56866320701828,67.34333517924217,65.69595934318173,63.34966911016067,62.6735760015461,60.694792771188126,57.019550089187206,58.14604643331311,60.05969271202809,62.75942494498391,62.210389372475554,66.93378226607047,64.64188038862927,67.85311151649572,65.22386132595916,64.01565801340087,59.41824979269119,60.36107311638871,56.1094539996768,58.910325753246624,56.63611574634474,58.67195590773659,58.88597398778601,57.343525039890096,57.78085705271762,54.93823045628643,55.406055859573,50.63800557620084,51.495802647768166,48.38888872957333,44.974639920673376,47.58337012699628,43.92354708414105,44.41650975021274,43.35373367709745,42.10686368051688,44.03833069096908,41.89856945054772,45.18641930595768,42.87576115891042,47.882587300542774,49.083498840777594,46.045879951705835,44.58679575419258,40.086539948713394,39.52641488847836,39.13868223958324,38.17396645264652,39.333706194179655,40.21953711521683,41.4320776305847,45.59909817961304,41.019879105755535,44.729069548775826,44.58562185817034,48.575366200431176,43.35108910091557,42.02142189648721,36.87533545011431,37.185634856870735,36.37494537668578,40.16149394992235,39.004857066934115,43.1890532517119,45.48597706824831,44.41491925472229,48.20985721563717,49.234948933061055,46.34750866984646,47.75638331580454,47.591912345256034,46.90479943785043,48.43907874860067,49.80064449154057,53.738014838677785,54.59945991304989,55.97617583397381,55.69619142097492,53.26639123199454,52.604461989462706,52.85330928312492,50.345142001416036,47.650667900090404,50.98194132915841,46.0972001247573,50.3095718591371,47.06142924423328,42.088213252749604,43.47020845368442,41.78680121539399,38.81398621758079,37.86155244660465,39.97671721345281,41.25882221915278,46.38225022897343,49.48757779000632,52.473144737000155,55.02278242328581,55.35847966823821,59.909436816349874,57.289303055655054,57.43848446010282,53.09435754542474,51.098966131612805,51.98050109236716,52.18375274402237,49.85857909565009,53.32973231731065,53.8202177305276,55.566058500576844,51.22297360882476,52.18292769403696,50.2330208792798,49.49850470222825,46.77482424739118,44.69695785456037,44.308840372887026,42.52241103528934,39.09749095255537,41.02704576765474,38.701981781304404,41.42846010625542,42.47390136703985,44.80750540178455,41.782854569875205,38.75127835566282,42.39255300256663,42.010920271884395,35.969274583073855,38.43162863794971,43.83951297954741,39.76064424735579,37.65784268317392,40.905733414378496,42.26841582926065,37.72293821607461,37.954115127527665,35.19294820779778,39.834190621178706,33.35085101720902,36.713871336453984,40.33294298310714,42.08124356616072,44.78397833627033,45.822782896553335,49.07981934485827,48.25018543795332,51.12480912613941,50.594279079928405,51.74833228693698,48.61755782172548,44.7764422294924,47.48110568456024,46.81798974427281,42.29081120555836,42.19379035980563,44.47616119810809,40.38758988449641,37.138747034392736,39.084120941172806,39.001894354841454,44.735126432080136,47.16891734650652,48.307896904169496,52.12894684597891,55.36391218434541,54.39719887419516,50.51491110519684,51.48839370778552,54.695357718703896,50.956948411854064,48.31291451181946,51.886445404568896,51.74270349084505,47.47843204563159,49.910993716189815,52.05853500495806,48.946786960865786,46.983486334211605,49.47988645036577,46.752558773581214,49.06186413099835,48.56031137808799,49.34580575502386,46.99696953152136,42.94606224858412,44.638104754712174,43.25323885828991,40.46016886063407,39.05548144327008,41.47421485373988,37.95693391158772,34.56724886387461,36.118400407492246,37.05797045882983,33.420227393900554,30.980257734565857,29.10634014801993,26.786313688671815,24.473802514024026,28.603240491434757,27.694014784307026,31.66570065175895,32.85980348933559,27.950652665440806,28.00184638955279,25.924915768383446,28.003439970365445,32.574082787181055,34.55400282332518,37.57597963296446,37.73302316613285,39.815663850774484,44.00069017296317,46.21231388394248,48.07033901035154,43.02264593198948,43.6373500908839,46.5649075920265,43.28736781232548,39.80398358606737,43.40421886996926,45.82817305694677,46.15776267649862,48.6497167565068,50.40041238629301],[32.25212031316545,30.583555050456884,30.094599434717885,28.673757954715914,31.127986293910105,35.02108020165588,36.806219220514535,41.2603725264159,41.715592994793546,41.95417961778706,45.2973860585352,48.313926355035754,46.13840883776231,44.39126709012903,49.547742401295665,50.37269913549168,47.01758222573963,50.43963556618565,50.04201520302325,52.3354476761491,54.08635169963209,56.407084802184286,56.191485472629445,53.47893747351066,51.866667907687216,49.252503899633,48.154435725608664,46.240229259419735,49.37016823204215,50.69448481151802,55.25363252090253,54.96768014167058,59.2333447980747,61.92302432745634,58.668487189503566,55.709438577702414,54.7084029151312,52.535628923164914,50.31209469604865,54.00335569460859,49.85946171011228,53.01684271004941,56.784921952346515,55.14297154951831,55.253317177098936,53.311618684019024,57.39301991429753,58.038984477161506,53.844606532999634,57.160363025169495,60.60619543398536,61.275430340133695,63.28263855898598,59.18381306351223,64.13997706779875,66.03329239373909,62.196105651315214,62.962480781762004,67.59735060682395,66.09253217979095,62.98705288994482,65.87711527884237,65.09901794923931,65.42515394032924,62.2200896803053,59.70152994033382,57.376607703725085,56.0169777566572,53.07746523667902,52.7575600395404,51.17761493748297,53.4783021607761,56.138649299518285,57.96780986929189,58.58477942888338,64.74567305497382,62.38569597843545,66.11472970453325,64.06850407541273,63.70485427465746,61.877886674925556,59.38857035072418,58.58391827008103,56.491025066285914,52.897972801816735,54.17914882529992,56.296222312681564,58.96507165561393,58.68927702410358,63.46478844014685,61.3898847379889,64.79808860240814,62.19787316426029,60.918070236498856,56.3302229592991,57.48231045610498,53.242432277182964,55.69228819356128,53.3262009219021,55.24755250029635,55.26156836232156,53.48526962091187,53.84448517998905,50.81827289429443,51.05416188752959,46.30599410185362,47.0177041225503,43.81795009010331,40.49344417639431,43.2560394674172,39.74398570381478,40.2994076671712,39.54008137050111,38.291944021054455,40.56051491810309,38.458324557959195,41.8668736314391,39.658879816761186,44.9276498262546,46.03643479132484,43.14977010866515,41.59960506665564,37.04455989994436,36.270001008240904,35.74577081330428,34.354640408162375,35.40930203740686,36.049939045518535,37.06543398165634,41.129443677890364,36.416073627848,40.035383242172585,39.910832226084544,43.97201614955326,38.8196124935482,37.67169392121543,32.40514402257708,33.030603178012385,32.52365671227155,36.33595389137882,35.523303790107704,39.74727987780648,42.058478598249145,40.79914321209836,44.49011162696604,45.54175022012093,42.64275547503263,44.01568981035222,43.694519840216685,43.19135276173352,44.578874066896056,46.23327445946979,50.04157310156161,51.224984951177134,52.614287061788914,52.102857435677514,49.667415675940696,48.752956149257834,49.06545812958349,46.263647518640404,43.538325578819396,47.039763429018706,42.13513535120271,46.27628222237906,42.913011725395535,38.00629656156235,39.128678750731865,37.4991972101977,34.37574976715585,33.57335755106582,35.5782005585295,37.03766444573268,42.10159682723672,45.21958265832156,48.28643980029733,50.81679315357732,51.375266555215894,55.76448366345686,53.102796366347484,53.11745233778621,48.749896891340725,46.69843908267097,47.4318101404238,47.608128863117585,45.37968533016519,49.016422520510666,49.7013474141298,51.40375421858866,47.215681431965486,47.94812395756386,45.90598369265331,45.092980135103886,42.235941879972295,40.072599768080266,39.59573027496544,37.74183908028849,34.34055469323141,36.251907692242256,33.98692162629181,36.82856907417658,37.88215487530614,40.34382834515145,37.38097520807676,34.330544466827675,38.059670939488626,37.855773922690716,31.879990268549744,34.34365732213662,39.86119781587156,36.01671912533113,33.999631391978305,37.330735225209835,38.815762996445734,34.48476498774903,34.77679923238677,31.801942364057624,36.4899610082818,29.74748124101011,32.86102866155613,36.59368302187174,38.1892028198758,41.17562007766713,41.94952463660438,44.9899002354033,43.95919092549816,46.714086035636555,46.06162836677908,47.16072963338382,44.141966336888,40.22289225633379,42.81631807370436,42.177284543663895,37.68012204517277,37.48425719188646,39.706922191780976,35.70567961402651,32.44369097566952,34.272478690031974,34.29132452567663,39.99430234086923,42.4363422157659,43.70237736246349,47.49652236257009,50.838349926601545,49.85317112369764,45.97430278062162,47.07784331205891,50.35528122180591,46.65257155888959,44.07627465739612,47.802186628565046,47.773922490677585,43.543314622799244,45.98259856794906,48.29131104932427,45.34598221380956,43.336916596819975,45.79772263062518,42.932631010322446,45.038079006479,44.33211381615998,45.068218886605365,42.95520061841345,38.817906715820826,40.27940203045407,39.040341019165034,36.33630455341884,34.65610907917653,37.09867105069501,33.8128195803927,30.282393180111214,31.58190021206356,32.70430812217527,29.265183141103197,26.701827324765755,24.90251154302607,22.75354374787081,20.629820026103353,25.04844754808238,24.09049070870185,27.826926741785062,29.266868882821313,24.459084808691895,24.089300414781206,21.7500776683745,23.600489043054797,28.15542504741155,30.22505752491577,33.063739932147115,33.4175430527334,35.72125704097353,39.83080184714351,42.097150166446546,44.073512427922346,39.10036383505088,39.868313701049814,42.964226404827556,39.701050723655726,36.35715667785556,40.064563478012296,42.66547329460916,43.10055975470204,45.562903885324,47.28939617553889],[29.059201547091327,27.504337110943695,27.33486708600158,25.56462462642117,28.56838213626134,31.97568222658708,33.8655860045504,38.33703158632238,38.530760566631024,38.90555025164015,42.14900831754797,45.192040953697585,43.308646837304174,41.39378694132815,46.596913170962026,47.59566233716039,44.4288594139993,47.96413675219781,47.79860608646747,50.27091131276311,52.15920327594608,54.73149504255552,54.57665317469902,52.03664973840049,50.343904571375255,47.457585326557975,46.317392366667,44.13479830628462,47.07595001939357,48.25528665337601,52.57544941824474,52.34139091299779,56.50372247377154,59.33255754337979,56.244033905113504,53.39388338054147,52.456187361414116,50.57781946234146,48.57055657352567,52.62491358746345,48.50820739643444,51.39940730417073,55.32597169241941,53.910535230805124,54.23622096664732,52.53798519766775,56.696102108429535,57.05579444104139,52.93952411251682,56.55448287809072,59.77244853213903,60.42984126964301,62.24235868400364,57.95039689315046,62.77380924300001,64.81335514824725,60.923474476211574,61.406374863192255,66.1037226999698,64.81497736095484,61.47502651481366,64.10507398153638,63.10596762001487,63.53370311241964,60.47963686484324,57.809265647451795,55.26629511310276,53.6913581365764,50.645510798237076,50.06395112931675,48.4908527826382,50.70848556708234,53.40313670026476,55.48336611875389,56.04766776960376,62.296256904989335,60.15501167819815,63.800981165730875,61.93470854169025,61.82154220203056,59.97751223807818,57.75818201781344,56.83873497144033,55.01696996309996,51.441888263281776,52.39485306396621,54.455606680321914,56.906585664172034,56.553763119361385,61.10800991709773,58.90707911936193,62.18842074035916,59.44881977992102,58.07717327066066,53.4383476618417,54.40640998196077,50.12512031286523,52.734842623701724,50.35275334287207,52.252352689015794,52.56569038399867,50.92492787782571,51.5173036423239,48.61659335452024,49.288941463082715,44.43394647816735,45.36507537463547,42.40714310762349,38.84630394641464,41.30005455062475,37.544160171564656,38.12664613517537,36.9860187238611,35.933284874956776,37.981461412185766,36.06069374895376,39.53922914878916,37.550408064850785,42.769732323081264,43.595419454957934,40.58186057042918,38.874156586191624,34.44302889068843,33.59074326344421,32.93936763195484,32.007242842961,32.91353149617518,33.96784673400093,35.262822737707566,39.59062029330785,35.19125805782628,39.05296546318112,39.121310357455044,42.873423897879285,37.730989724913826,36.18218756501635,31.1250078297099,31.40947762679807,30.69292471151653,34.59684166356289,33.95506927332673,38.40457486116151,40.36766290273766,39.01159667849578,42.79860869707776,43.52733621696053,40.54289912607304,41.69829405719131,41.38323745238713,40.55641550776131,41.99142797226368,43.31890132018599,47.22573342290944,48.10634412610899,49.50961321392821,49.23025751303314,46.868200244306095,46.1887351489026,46.572287215027664,44.08509288256873,41.63516527117123,45.1052764341686,40.456970653447605,44.775047401275174,41.841858328686875,37.05413943763669,38.45897158424621,37.23873056427569,34.040185502322196,32.79581180102101,34.67403277842831,35.741650642174186,40.826473468531695,43.75997456005918,46.62402993729379,49.00283102926069,49.28154446067435,53.858109211595455,51.45646774995142,51.57698151346446,47.47533746232401,45.18783941881155,46.40968714829939,46.88197265608423,44.53171801257059,48.14308097573669,48.59666799694181,50.70396988405619,46.65060956506566,47.57189551406754,45.74659609939316,44.66223476003128,41.997416006011306,39.72762340168106,39.28752811445696,37.569408227325745,33.82626895387754,35.62812110635891,33.10381428258554,35.507802249634324,36.752416907690126,38.8085711612919,35.63483184800532,32.82763041942681,36.541389854724294,35.864485512446294,29.810157282396275,32.58234197811454,37.910147679414145,33.616808090314954,31.721336646095693,35.143706966613095,36.252448783102516,31.760495570096413,32.36838878624103,29.57514761001443,34.55258333388306,28.32961931307425,31.409375244702833,35.21898309167012,37.34488676432162,40.37183902054852,41.45267799387292,44.326123517857106,43.3829586550449,46.22821510258876,45.359427061662764,46.883222295152414,43.98371790086909,39.67239607796782,42.40734850504096,42.28155939989132,37.6568468637281,37.22050138963374,39.733053444198426,36.122969296455224,32.528156020819615,34.15212088801075,33.653909858504605,39.236189286861695,41.81680425452363,42.744272481075654,46.47034279872909,49.6804842221248,48.48947319357736,44.5904899822413,45.67320147208492,48.70156325593384,44.806540865895165,42.29521529247676,45.86370246084559,45.593325726399335,41.37234457472595,44.05623668170692,46.13187071717953,42.904927394445,41.1894362193478,43.878994878576506,41.19922215001076,43.54985836048917,42.90775792491439,44.0198879481284,41.7821849832968,37.390326401782694,39.273524901275046,38.25422388860302,35.31518327541903,33.73534427689749,36.744801789236206,33.4462346134601,29.525770297799447,31.233270584360863,32.84684669179613,29.283950810875975,26.36714579952299,23.885561358294883,22.438281432382514,19.59273805983995,23.782704512515245,22.09695880945176,25.851039824765817,26.728751862447133,21.847467953485435,21.861913070756305,20.06113588250979,22.05054346654309,26.716209544710317,28.325308144179196,31.515767531811512,31.45744748093985,33.43883901546712,37.63035393246119,39.88701250782419,41.6229661318301,36.54844604921305,37.25058467698592,40.116995591352484,36.76848248766178,33.3793597632193,37.070520564080404,39.45565471075607,39.78543050047395,42.27981386317012,44.03305698845543],[29.75124431254056,28.674728356991277,29.30397455228322,27.636161466579555,31.311325658433468,34.20302354585473,36.42245294341606,40.82897387452585,40.830798731205384,41.51231057283464,44.613869269266814,47.615004114812876,46.16725468417282,44.09837899691787,49.33064657421414,50.523179866681744,47.58418938674723,51.21070599556677,51.21087270157547,53.85090148401811,55.79837064511349,58.54674207349041,58.37886240730787,55.91448141995791,54.24575675054661,51.19823353803745,50.078539053046654,47.71924582806186,50.49559437272762,51.51855763610521,55.60179910164357,55.38202362451282,59.421900601950114,62.4172950603003,59.49417494505424,56.76823110903022,55.852761666662126,54.24461275157802,52.38983802080072,56.63401306538852,52.55755427019982,55.28813489056706,59.298124836941604,58.01066554328841,58.42511195064977,56.82486070497845,61.00036984103727,61.26235704134536,57.18082845794078,60.88966761944507,64.0216625133873,64.65375751181863,66.3923735641915,62.01424918241054,66.75819611463221,68.89202644367346,64.9895519537139,65.31337301387875,70.04328049489841,68.872026141488,65.3999837474693,67.85800686025769,66.71082597010735,67.17076902644229,64.2392356460023,61.494258885261274,58.751320038984,57.03283460697254,53.85290370671848,53.039022213270535,51.428299915090186,53.47518738095631,56.27876473329336,58.59710730464906,59.18073509753272,65.49358632006314,63.57603506404693,67.1502992864302,65.44140746236374,65.51643811210498,63.643530771974746,61.600818402791745,60.54690627378092,58.8899012853265,55.37045833880709,56.1351668232303,58.19081496309993,60.45260933536959,60.07306855000272,64.42207703617599,62.112290808733384,65.25003074667804,62.370975135903386,60.89844971208639,56.21289639884851,56.94074708256363,52.619492653475696,55.39093908307579,52.94752571419054,54.67207271181596,55.423349508577566,53.76304210284513,54.695035048599976,51.75609470298837,52.733976318494705,47.75667596832619,48.62678846558944,45.81990340545742,42.06981793639878,44.392473135847,40.5196517066203,41.37852616283529,39.99498867294644,39.251752502584615,41.160453262822834,39.44742185538157,42.96634079494938,41.14290021295293,46.24624480619883,46.874982245765274,43.74086491503548,41.911931305834834,37.63828278992372,36.724757279843516,35.893156722981416,35.367259639629864,35.88527816401445,37.31022114684424,38.66074799846403,43.155118124098045,38.84305661099306,42.68497277447572,43.02846329887523,46.66245245115576,41.66288375172943,40.00161531915383,35.01383072718128,35.29378384183991,34.53299948334638,38.47574683769142,37.927317422689526,42.45793863674352,44.237138212486975,42.84528963821004,46.67671417334754,47.17705328020485,44.13567340252568,45.06564293938789,44.66882377224046,43.50550546213099,44.79709631650925,45.771941808537534,49.61522375846987,50.051871704367684,51.67352314331149,51.730919004288424,49.57557585313909,49.054734497927036,49.655167459586245,47.353214457359435,45.23702696389285,48.75546899614054,44.32169569185776,48.72260698572224,46.00690527073802,41.3004471406531,42.73890907679238,41.654246939826756,38.38926785979036,37.07473688628546,38.84321777834857,39.787867762438744,44.835214886195736,47.638696132726466,50.38120452340767,52.58968003251159,52.7351992839249,57.3847972627419,55.21244895732596,55.3201101131629,51.42362452209581,48.89299822158983,50.34155089445911,50.95738856972665,48.64214441896442,52.328685270822,52.734154091468426,55.00024071108419,51.011512464709654,51.953180163223784,50.15688924107023,48.96452999836718,46.28605614882435,43.918401686443296,43.366507710221406,41.52616155890428,37.7047886214411,39.246748872990075,36.43605755744669,38.69989455951923,39.63548070005475,41.54231491147498,38.43280897490695,35.44048696297948,38.87117377210597,38.07935777024755,31.992632788954243,34.50199941339821,39.64846095888435,35.2117954776099,33.06863118008209,36.2556534387739,37.36716833817472,32.64586060710974,32.95137108398972,30.444090183662937,35.20747031695493,29.326991251460125,32.7868114806703,36.36115907974427,38.683647190899,41.274456941678395,42.762595316072264,45.96580367655576,45.38859051155751,48.46552777059165,47.87777987825793,49.53003800685899,46.396236526629224,42.254656300967845,45.272043556667754,45.14283326532795,40.42211513687525,40.24659795597929,43.00706431583119,39.2162700484955,35.571948451667275,37.68668349189949,36.769764993478695,42.53947248893549,44.96387255716951,45.535959386987116,49.37419171918877,52.276849539176716,51.29679078353677,47.427636021012844,48.083844232342294,51.061623508238156,47.26100760956777,44.50027163946742,47.77887180189466,47.42492947395716,43.14099665355449,45.63888469378032,47.51455850133041,44.16778609312664,42.36803454152659,45.00890672431374,42.51967571239729,45.15371186861777,44.90328970954829,46.02191958076493,43.367377506621274,39.21671040167271,41.46359484426909,40.136508517826115,37.069222685347036,36.03935304633028,38.95468353608618,35.249193264404475,31.612312651587438,33.827399574602914,35.11346405255641,31.18885966618297,28.47597001170429,25.925949812538555,24.171417903387947,21.075746623700567,24.742604144492354,23.337604735907686,27.456211198246937,28.20764607770467,23.265725364343023,23.881419325046206,22.364956022750796,24.843689027524558,29.36626397875643,31.180782199841193,34.66847630950673,34.62439091803044,35.90749449196763,40.224673941371094,42.22033102496723,44.01101896795572,38.91974823339721,39.143848018735,41.919246165567216,38.87511691719522,35.03644998983012,38.43232898687665,40.76746211791196,41.12544220722716,43.666173586020236,45.49256039241545],[30.47169044670926,29.17044541171061,29.329220284060415,28.60041280997339,31.462026875970693,35.20586789472534,37.54311630611185,41.851629737512226,42.561791031854874,43.38652335294633,46.744793410462506,49.45852071075912,47.77833614713737,46.271833506552674,51.46814187070632,52.28691814522737,49.27933419936383,53.00076476921096,53.08707352109826,55.27618912276388,57.34226406204116,59.72103448979318,59.762239892241894,57.22717317498704,55.34277886262423,52.60925402302237,51.19596561784524,49.013282966160084,51.83894102587449,52.754324102347255,57.434172247314095,56.730522787885285,60.93933414403785,63.94266155838878,60.73427742160812,58.059070524238486,56.73534196835645,55.06668715510273,52.94419845037498,56.650923987156,52.8729385514403,56.10359260076233,59.87879010641402,58.27293987114247,58.655257602010174,56.724355423940004,60.8452973505377,61.268159629799506,56.92657473469182,60.25022874124242,63.5565076717621,63.987473744635196,66.00302073386764,61.79255555166617,66.67517385081953,68.86491988454816,65.191074396277,65.76000212686809,70.4586758725822,69.2542167983963,66.17407278231846,68.96764957221671,67.99965968500157,68.67803139577444,65.50733801385493,62.73608754497832,60.54330999563441,58.87255977532195,56.09292314282463,55.44045503482689,54.05318436413149,56.43214819774899,58.923043570482115,61.01445259124361,61.294949087401704,67.52446398130817,65.16234693401927,68.6771355234604,66.62368426014802,66.3657287827208,64.21711400960245,61.796341707470305,60.561488926795214,58.553811042054875,55.189583475144325,56.40179463883988,58.82653183850157,61.13401360851362,61.22584800328312,65.74163383657496,63.80118212074572,67.25870178234854,64.46348087089947,62.90405103600346,58.238420082367085,59.2897386260718,54.985187284802905,57.19471037666497,54.568938343815105,55.991703100866026,56.48102845449119,54.270686854503964,55.1267906143251,51.70353708033146,52.094907677754534,47.135711581952194,47.451579634152736,44.34854262202177,40.81025392781525,43.63319331852757,40.14574910674161,41.35038117016723,40.650232971430064,39.96009102587924,42.52359769251632,40.8300086889195,44.49991638944964,42.71056552109448,48.16703498223091,48.82792181735879,45.941982667733804,44.053193596434205,39.662883858277524,38.46438638774342,37.408638277709095,36.06503213216788,36.22779933387968,37.1545677317446,37.93113297540699,42.14477216731979,37.32250795177369,40.73098417453077,41.1736332296726,45.16507898049075,40.404003641664104,39.36716033610542,34.006620510029784,35.154254303831706,35.0392678694679,38.976891946672445,38.82651127877302,43.24518862277079,45.279263101859804,43.68765117628934,47.306690758050046,48.01464362189051,44.99079300780209,45.91810120633167,45.19699895809945,44.37933286895156,45.25698336532057,46.76018824792185,50.241959353699116,51.141231371703256,52.97507491665275,52.70356389861006,50.63161200154723,49.583382832605594,50.403522480209084,47.43465087256051,45.2587017093019,49.13188159899221,44.557850379115266,48.73553032527511,45.55510845573381,40.89158512303932,41.6549807592746,40.33224291618201,36.867288374711805,36.197979899300535,37.82428289605413,39.357561622070214,44.26297056539189,47.17870795703108,50.17223084059343,52.37297324119458,53.067261205373114,57.327723951389316,54.994544861475134,54.75806835580086,50.70414835524257,48.120491614468406,48.99206984912429,49.364112633566236,47.375820248079634,51.4193579520398,52.341508815366474,54.219838933491474,50.37154562900068,50.77504586943617,48.62047094278003,47.52386650639278,44.40691885534246,41.93279530232532,41.08129957587761,38.843052428866436,35.36771695211709,36.715793871125534,33.977958179277564,36.8060069147633,37.191546938646454,39.65347622731271,36.952860971408526,33.40993141282676,36.724152213290964,36.69088703824094,30.71574122667609,32.58855763346997,38.01275248516534,34.357587113226586,31.925661722937654,34.91782476795392,36.74069233875224,32.32099889646942,32.00798753674086,29.165448427318978,33.42575524883703,26.71619038835313,30.260108624163134,33.69892679331193,35.29285423996279,37.82824211863865,38.929210842652445,42.3814031647612,41.776714851368645,44.81476746119275,44.62053109677819,45.793829393440234,42.41677247895,38.828652300732706,41.81731518438886,41.08770715136085,36.45594141601431,36.71890209003724,39.3247146325108,34.99100921014397,31.661791293174566,34.41019824701426,33.78377544740554,39.877144669271814,41.97612246664593,42.781703093191915,46.79868124501608,49.715600338544235,49.18963976930125,45.36815195004345,45.8044004290401,49.17005464475963,45.755580830499156,42.74583848193261,46.18841588025647,46.246470758292915,41.91615431286548,43.92659623026898,46.172415522599884,43.329534096341725,40.968744252346944,43.21000979683981,40.43480276354381,42.730781886723555,42.48421373240024,43.045611424536446,40.46907939373543,36.74684163684514,38.486674824451704,36.76374273835687,33.983668196609536,32.98216525367658,35.129631722739845,31.32492218614985,28.251411567147596,30.154308494347983,30.751648523366786,26.843682718223207,24.58899224702708,22.90025055024022,20.160742527016435,17.960432888068983,21.902857607861492,21.67027421883392,25.81235344243733,27.586231898726716,22.773517312890817,22.80582146140307,20.45515670258824,22.971732087176683,27.238982161057926,29.99920558400434,33.11774186431202,33.89399485146613,35.224326549083536,39.48290469236704,41.32665440022836,43.677685910779914,38.77574076919152,38.85767481073779,42.12516228618158,39.48413799637247,35.460625717311366,38.79435988100472,41.66760279970446,42.34705790741436,44.86002344849919,46.70712772320776],[27.686606860612,26.041011421564683,25.672484312616874,25.001597042049465,27.444566739307884,31.4938174594672,33.71237145296882,38.0070582707284,38.924938217834196,39.6975045513411,43.149887642355225,45.78101115184397,43.94650608156788,42.65349971856593,47.811307461586324,48.478753001082175,45.4543243759805,49.21571900969251,49.40580176851995,51.424686986673,53.594323042650906,55.890609569501784,56.0728857650187,53.60815713731795,51.56672352800539,48.87268223277483,47.30041555961982,45.11347619322415,47.90447437726313,48.76538120832695,53.631865090870896,52.77534197276976,57.03555370955648,60.02054802469461,56.72980508304546,54.08420707128604,52.64212883288133,50.99904501116711,48.84449191120129,52.47663699764425,48.82728431997038,52.14339211899559,55.87645697671785,54.241282977067684,54.72072768971492,52.79170433215428,56.92570244590341,57.250301536122215,52.8598578395341,56.19560290385355,59.43913677469171,59.80246337289487,61.81517040566584,57.58552659240336,62.462173758004504,64.71649456516829,61.10616527624436,61.653474945254665,66.35412985329721,65.22878954452479,62.21495487170976,65.04102705147848,64.07397591892521,64.89144312489692,61.67497578473134,58.837527112111715,56.836321457397084,55.12386238093195,52.52946268025657,51.898135468385306,50.64132788442398,53.185866755311736,55.49037154405906,57.514968250018185,57.618912344009004,63.81224936982791,61.30376169123325,64.7677807190773,62.62139468297545,62.301507675678494,60.06306636686865,57.59409309540085,56.29922307924016,54.260907087209006,50.938706589299464,52.195113478420666,54.71330048454848,56.9921132512652,57.223533033675054,61.756923116483186,59.94104590611984,63.507737844957596,60.744615775741615,59.15782944809677,54.51506130165918,55.70889479759693,51.4297890042488,53.424229348679724,50.77307802152145,52.18392670927895,52.491879812546024,50.203541979392405,50.964027367780155,47.49606924206772,47.7850326154448,42.85113307460319,43.177816866319546,40.044951164595965,36.544887734200756,39.408262743622814,35.97482778809905,37.133596244980694,36.59058746486235,35.86796647895979,38.608837362288924,36.94387257777461,40.670628828778526,38.97572657281819,44.56765128798545,45.146139218582334,42.371381389840046,40.43285072075576,36.03718267697262,34.70759572081018,33.58565026060047,31.98531274230414,32.142761938022026,32.91716495255446,33.63270981757145,37.80595167614949,32.97621387278629,36.41928363302296,36.84735394780546,40.8150702873106,36.05935839009035,35.046596368988624,29.66984887324672,30.929108763905493,30.97444423141097,34.912346259703426,35.01610656861237,39.464969485598154,41.43822980945735,39.7216164744808,43.26957935429896,43.95913726560591,40.936429232512246,41.839750765370546,41.053137825537114,40.36348158982229,41.210642765336786,42.90750298339254,46.360816783954796,47.51676350869322,49.27260088096533,48.81632002454381,46.693984585380335,45.518006615363255,46.319256134212296,43.21842206162248,41.00746008020547,44.945265589529384,40.39342620002401,44.5377993992852,41.370800787874096,36.787881278450136,37.46447973266024,36.280391148103526,32.72728497273716,32.03563458106365,33.56666034690343,35.11851882172777,39.98239392184822,42.87829679543259,45.88722150524072,48.08033135950836,48.8590818071675,53.0531757379351,50.704488232347366,50.43002698113639,46.38759427986837,43.779496663066844,44.64880355183255,45.057717078100865,43.076029531434585,47.17621697274201,48.147671859175034,50.0769486348152,46.3616736866005,46.68663851988895,44.55150514391678,43.35364890389453,40.230587767007094,37.70150843037433,36.845722305405495,34.65341757706009,31.094838831862543,32.48107754275027,29.780668370087582,32.58501267019861,33.164033551319946,35.62177992165197,32.854325010210616,29.44547011295406,32.937260184085865,32.88792448712593,26.925732812716497,29.021774637686647,34.53629928866494,30.914954391227397,28.682089342418642,31.868815178097165,33.623830748308436,29.376097737748697,29.35370183363451,26.315604847617386,30.824271525922462,23.99014516749216,27.19436455330152,30.85917251164314,32.495454097556134,35.43707341880318,36.31922439049987,39.420897608289316,38.557217897971945,41.460942927292216,40.97570196807886,42.236558198746,39.073138277253236,35.1845311856453,38.050113846031365,37.54523926075065,32.902478481571485,32.893567005138145,35.487297552327135,31.426988882717605,27.954904998426375,30.363122959019645,29.760557383605597,35.7389045985288,37.96406017840364,38.86698627539369,42.80283745328789,45.87043248116319,45.16262084887107,41.31755875446741,42.00369585153097,45.34275412790562,41.83270065144131,38.986386820155516,42.59161924897476,42.66111893790199,38.377176181060776,40.57079619673498,42.91231886278312,40.107306331307385,37.8698440093409,40.20738387258306,37.33214322670201,39.48156372346314,38.9603041105386,39.641865711633244,37.34061301659711,33.33990333509253,34.95071831699238,33.541497412245235,30.766942291783316,29.379972659584514,31.830398238239237,28.335489480358508,24.854222689910095,26.552182444426787,27.627395288438272,23.942468446037907,21.332616860583524,19.42263761798187,17.213216052406818,14.922336730377744,19.27361370643032,18.58449322876292,22.435377507122606,24.234545986863615,19.49241167744334,19.122580979720563,16.62800421327439,18.887123000104445,23.254866281267415,25.865772752042492,28.88139461183341,29.65540080814484,31.26293896983931,35.45394488977838,37.428773340542776,39.74936119808436,34.86850606286953,35.204537770908246,38.52975624215591,35.760728121844295,31.98404826780759,35.48796625796052,38.413085656738815,39.1031015599601,41.588760791508015,43.40325297722903],[23.42678052120844,22.26300138410845,22.96207075110579,21.771155288900648,25.542697345236153,28.461095740754864,31.03858628382965,35.30803314429657,35.69923627494752,36.853534401041,40.05976174255972,42.7042089743897,41.55794583684955,39.923970344133224,45.14487999859569,46.18086219866213,43.56854353868347,47.51442101759045,48.1102319862125,50.4816536571831,52.848520510247404,55.59299109534682,55.829293688586084,53.64971985185476,51.54662397006931,48.394503510437865,46.80993402549922,44.16290253554341,46.583437842721544,47.158519463377836,51.50578404899972,50.75964675806646,54.78391192084338,58.04633421348235,55.10474764916611,52.683264603117856,51.37697772092237,50.29801548303518,48.555211455514296,52.80874161330654,49.2039624205544,52.013776983055216,56.0066529125579,54.77325676958889,55.57746637464557,54.058506937543505,58.28698886389039,58.17458704810631,53.95362203719957,57.75471125061874,60.627755063119494,60.98453095471756,62.66463353068278,58.13416418244245,62.760854918803005,65.2407639215989,61.5422664088096,61.607909093072614,66.3950477972334,65.62181927982897,62.201258510349625,64.55222222863713,63.19912132501169,64.14773143423028,61.22879583051426,58.16341736160741,55.729573907345504,53.65155430977528,50.82920177302652,49.70433631540417,48.43519661735675,50.74823510899822,53.15922649417293,55.6611437591694,55.71847631207222,62.05145165224671,59.99691426034047,63.30330843276255,61.518089786508995,61.66655284844082,59.42232983890965,57.45745476220277,55.96194918040055,54.42477108760137,51.155765121381215,51.81436341640404,54.206464471011216,56.074200579014466,56.14599480603119,60.23832332586969,58.171278728526424,61.456245975859375,58.42706234807066,56.66609925708447,51.93743956006737,52.72300092342781,48.37256012801142,50.700188629328764,48.00583827571026,49.29791838233912,50.294635190469855,48.23239208985519,49.51572255198812,46.25783899643014,47.38374647728935,42.25926939393837,42.91932939858386,40.26873821964353,36.33452830384128,38.60342105664112,34.73403392160435,36.05632131965206,34.77156618059486,34.517704293501424,36.806164906103625,35.531509739323354,39.34153498780624,38.056030900914884,43.45091575830694,43.52572101800316,40.51604688963941,38.301120256911936,34.21301312602686,32.75231529143574,31.34887324546065,30.712246447963523,30.434849917757035,32.06971948997046,33.26751391893682,37.89880014728728,33.67580278529508,37.45992876591898,38.279512005190504,41.67264318443103,37.02613932749085,35.336446804062916,30.406887244812975,31.07244154645341,30.741775640299853,34.777262748199796,35.124432561773745,39.875141835774244,41.24996877834793,39.41644988850381,43.1075906044948,43.21123440777905,40.05889752640908,40.5243642520091,39.72704907059351,38.35861551384603,39.21287724352325,40.19006344611288,43.7655865958121,44.194743807384036,46.08629435354706,46.1773090526449,44.279662277696055,43.5696222067822,44.57795010878657,42.09474531125037,40.477735728152695,44.33987951197681,40.30330373257572,44.72245643915801,42.32285388775095,37.97877210808192,39.12605136796679,38.58034047689888,34.982192413433054,33.597987534319216,34.904918232789186,35.7717317181946,40.60815425581624,43.146864912905805,45.76496962976876,47.64479612250123,47.90697759360317,52.41684652281433,50.57564068762812,50.47736550440775,46.947674193200946,43.91274641281505,45.632311680983456,46.540831207011195,44.38715076972426,48.41198901688763,48.98190799964737,51.55544601926488,48.05362961365439,48.70441189925565,46.92824685136247,45.333674541315105,42.54627413809789,39.87779297588768,39.07266093021426,37.09365180207786,33.04144716045034,34.1459276156198,30.963439889891973,32.944377945299614,33.68999628740355,35.37632406523741,32.312049452310625,29.25867191065597,32.53987867910728,31.624446284969952,25.548227806145253,28.019320527611878,33.074081360403895,28.603232615000472,26.439303918663388,29.64951610067771,30.751864175553628,26.068071884903972,26.42738593713719,23.878604290739354,28.778309543326316,23.112134858128904,26.44458605231106,30.07960119642767,32.717039707548885,35.45182143005581,37.048358576891545,40.01961550906062,39.48996070926053,42.62743155631204,41.93740476835471,43.917704937006285,40.86601355817617,36.48606474148103,39.669080322948645,39.965892772197094,35.159813402077894,34.88708379134664,37.98897513708957,34.52314714350424,30.600168675931357,32.829815888473476,31.25152541423305,37.02099500661311,39.37258100198137,39.565638408345194,43.40947078285084,46.10336337987048,45.16365649003791,41.32320767221075,41.76650610109277,44.652851240555215,40.88961392729284,38.039412370610414,41.21574487194771,40.83683249840643,36.54415401961346,39.04553375316193,40.8844983673883,37.54041655735778,35.75466409711655,38.45156091626926,36.00263648026443,38.70740925637007,38.500645963790014,39.80185939929777,37.095782968458316,32.826671213827,35.319657531221374,34.13178829794694,30.92950032451126,30.021997093180456,33.31885079484246,29.659574731419607,25.74853397059366,28.34394805040599,30.02576494654504,26.059817508961196,23.05357464456996,19.978844244253427,18.92960925454,15.272553849797234,18.72628963958339,16.829243138125364,20.916590218517108,21.604494337363796,16.6697612551071,17.432143610729607,16.189996398981428,18.926584627600626,23.30024659345728,25.17295260670127,28.894306273490017,28.96788556764365,29.647923595857495,34.02376872959454,35.83493523615335,37.7686613902797,32.72713238769466,32.682931840293406,35.5704677333119,32.83214778594257,28.71321601263796,32.02092455227878,34.570933103455985,35.106993704701104,37.671731339899864,39.58237113731517],[24.74199850604505,22.9242164877925,22.440218433579343,20.656174320871536,23.561309268601264,27.046997166784628,28.974320989433714,33.42176908514271,33.79285234844797,34.30942906743093,37.63435555343393,40.52807059086692,38.70884735009942,37.02368017707249,42.22616636900558,43.125475580462066,40.09978616756332,43.81209360483373,43.98664840624463,46.31350049339684,48.458429034816476,51.05561902779939,51.149684376606295,48.80170466869792,46.83032147182948,43.84661655915879,42.427165759594004,40.055660652981345,42.805035231034445,43.760863084662226,48.231058816799624,47.73949553609677,51.91004216762786,54.85826696898176,51.75229956112895,49.047740583211095,47.92254539195311,46.31866816642799,44.39077010041337,48.522753300118815,44.64863460002223,47.54229421990314,51.488339840423365,50.14720598120355,50.74190455829166,49.15291295508987,53.363685008765636,53.43786054669179,49.264405472584436,53.01797191609079,56.033044083219146,56.55270828729003,58.28228245983684,53.8668641023989,58.60510286906076,60.84749476857505,57.04957221100222,57.343839981489744,62.084082346115494,61.045157992773774,57.68895937420057,60.22899796441249,59.09514178639359,59.80832126362607,56.771417615412545,53.8993575327784,51.51821370496099,49.7264957110891,46.8889131854446,46.13835656762999,44.768899096573584,47.17236394297614,49.61870377113226,51.7930213974275,52.04685963169601,58.31335333930864,56.09161621699182,59.596059160426385,57.69328146065971,57.63811057278599,55.60672486441527,53.461868769768394,52.32405455731905,50.606459883755676,47.13795346213342,47.981720977242816,50.19881280214504,52.44050436808737,52.30181139302361,56.7254744711034,54.64546061913138,58.0164911706969,55.20362682343986,53.690534614322026,49.028626397336474,50.06078265566067,45.76715213813558,48.139606930027185,45.65220763903281,47.412080073525466,47.76362897463905,45.99075762274552,46.69537222428094,43.70824230815041,44.498430140558696,39.58094486445082,40.543716786940955,37.696413138306454,34.032350785463834,36.381199660070884,32.57448427300291,33.25089909880547,32.112063452003,31.236109062159304,33.4600276065049,31.748679938522898,35.400337472112525,33.72209209133768,39.135264402890336,39.62898148544601,36.68683815065349,34.75990693059938,30.40531081625129,29.24733905855191,28.32545066433948,27.324977354409445,27.965749335415687,29.119390797225016,30.443548522494083,34.88378643875067,30.629149424538006,34.591397866334916,34.84691672252788,38.39483755739995,33.35840641266864,31.662015594248373,26.688412795252294,27.01945257958917,26.46432184140321,30.449246270631193,30.340377582299205,34.97449767528438,36.64423730487962,35.017980562396744,38.75321242183139,39.23582718423063,36.17876054521406,37.10498865977831,36.62580716817268,35.71988287382063,37.03260490751205,38.397774445892956,42.250092011829004,43.22081793944507,44.644252668006516,44.31512915834223,42.00908639017281,41.25953790442784,41.770717002541446,39.238276760352555,36.99641528812986,40.613107940921154,36.17829735662306,40.549599236806635,37.86983995190972,33.289414498305476,34.647242025351765,33.83945617075844,30.456807524274023,29.004297448217084,30.630206831887364,31.539051050981552,36.547760518277975,39.32665221614275,42.09776633413547,44.32557328680408,44.60543322379881,49.164193602300394,46.93355655019991,47.000462129674,43.104479832366,40.56783992157808,42.04015137332904,42.72750604282241,40.38712409725253,44.13095328048249,44.59112549337547,46.9704012787463,43.20030062693839,44.04051362825214,42.31462139508721,40.932380714113364,38.310492266107104,35.8823928427374,35.38495515018711,33.723877684234196,29.73923303030085,31.41147461318063,28.739279909843344,30.863056151245544,32.28352281751308,34.11414430364656,30.827099780620067,28.231342393278815,32.015806458497984,31.114933302623804,25.080084999911264,28.133057044699132,33.39001055863599,28.970804033024038,27.29589373349862,30.87704945566069,31.781379581960362,27.408838513501163,28.37124728300407,25.527101390756886,30.763893476992607,24.796294957281212,27.519407524823762,31.48201427784854,33.87369075367014,37.18101405701964,38.23736502769303,40.734363879574715,39.66110063693309,42.438771907481396,41.27287040189568,43.0795412488302,40.4091560798179,35.7294744292401,38.44561301602893,38.76798775486849,34.117552420989334,33.37679838353761,36.04915044176022,32.89743656331279,29.056962380478588,30.35258268310757,29.513093647703464,34.915319483420774,37.610022435574706,38.38184016034542,42.00949809788748,45.21342747589433,43.83599947045176,39.930985545995604,41.131649522511,44.020622014576425,40.00518837721138,37.627567566539696,41.21838444117085,40.866505921394605,36.69900973052389,39.59187147443511,41.63616264645214,38.35833295120879,36.84874102074285,39.68249115547749,37.024771896329554,39.35508720385748,38.55305475530634,39.92131149122318,37.84020305770904,33.16782543609765,35.15343894305435,34.484156965288186,31.466552787053796,29.687985748410437,33.184699886060216,30.16098599755603,25.804319528896347,27.573681612585744,29.784506512737714,26.39983621440067,23.09877586507538,20.114781074998582,19.586562311975953,16.374812188875005,20.55573388636673,18.13364447685662,21.548547235495665,22.16134339955176,17.377497625670102,17.2399423142394,15.699535082590812,17.504860426869946,22.22008426885733,23.47292120388151,26.77412091339271,26.55674380323172,28.494636613527916,32.67421898069602,34.985495596168754,36.641820707799795,31.554746903021705,32.374886124560035,35.2238916161247,31.813783740269397,28.54457136062233,32.34641348252692,34.7392709455272,35.076454574452626,37.56453967596716,39.320514118116755],[25.56667341655259,24.222834888248062,24.554526332708264,21.706120702486505,25.675563192622164,27.85397197333513,29.64878454977107,34.11451122461297,33.53989091300856,33.91290245634167,36.84450608785791,40.07788273993966,38.641867350014046,36.2151691067556,41.43000279699774,42.82968356172676,39.945857314541925,43.50669912989047,43.571769054480114,46.47174230856488,48.44215740275524,51.485229638858385,51.303301215930574,49.048214413489134,47.38432740597196,44.03609263291087,43.019328942660856,40.449226004821895,43.09740702157333,44.166519136414,47.82209724974114,47.94150905927543,51.857457254273186,54.798356632422305,52.08083416054774,49.345618916059756,48.73461695361715,47.241230385307794,45.66966969708674,50.39565927947009,46.20462792429458,48.45633446697187,52.650414335298784,51.692556676619624,52.2958202064603,51.09513258508736,55.316243550892246,55.23442429254684,51.40614357287504,55.53949112981657,58.349892371767986,59.09588816306767,60.50993904479754,55.94757722969472,60.48619530136338,62.642369415298326,58.60725434653642,58.620513534565966,63.36074019772574,62.35754762559146,58.56346702157981,60.68444805934181,59.33824527861666,59.77054700227296,57.04653946793789,54.2304833346374,51.1641969052995,49.32032135541341,45.96739121403359,44.99494110066482,43.32795822561061,45.26612827793349,48.13458389948853,50.612176504025676,51.264247260367576,57.61265005850713,55.975360424700725,59.53244312601595,58.072956732995635,58.430694110572794,56.74343669695684,55.07066583147371,54.14732957797309,52.858721578808364,49.25948517911637,49.56097349872904,51.31183787004544,53.46734393610388,52.754097030552444,56.92890055542876,54.39585349993441,57.33822550132098,54.41932027389389,53.01092865454,48.34090483482941,48.9273107508838,44.6249062557443,47.71927781504295,45.46648501543376,47.55010013873322,48.29258544920421,47.18735785272124,48.03053329245524,45.63720875227327,47.12444657064307,42.2516685489537,43.78179609082974,41.330976617901776,37.49691498725095,39.22714170420725,35.05575569857,35.3693250249466,33.38777224536069,32.511979999630135,33.82896066671246,32.140095446310106,35.53272054136542,33.83455261249513,38.69888062921028,39.143431482652076,35.884116400614126,34.05081374996665,29.923273659906695,29.17609459739023,28.557993245454345,28.72370592971363,29.73106584075748,31.517079462680105,33.46958091343362,38.1235659263224,34.54264754990561,38.82686024568027,39.010861197331494,42.10061970634523,36.94841875832514,34.60137186934878,30.222212702650545,29.52943596284577,28.174743153993273,32.048365592568764,31.403795968684328,36.070762410877755,37.40483185492476,36.07411522829298,40.015406078185556,40.22868909342271,37.19536548765029,38.0901835907179,38.01050130059584,36.64168303021949,38.4086186387732,39.04487637310047,43.26256697135255,43.574795837143085,44.77804348070333,44.91622561298795,42.57445796510992,42.49917245198621,42.77725203178574,41.10742117114674,39.022773576883175,42.155275117222814,37.979400402469516,42.54082311531104,40.451189881747396,35.91126484207395,38.00326352535335,37.436116245715326,34.383009164633215,32.29127094743989,34.038880009211766,34.253547971914855,39.3019060504397,41.891233009943136,44.31588493175764,46.500846685516684,46.122923031256406,51.08498690840897,49.08982681917659,49.54291888653814,45.89652691027842,43.44418309222657,45.53272205543724,46.467621626423316,43.82836363964755,47.114569126590084,46.987216971049826,49.75120312391809,45.85912064238476,47.28704064057304,45.958829126756974,44.53608699125229,42.41153950887179,40.154734877389224,39.9610300692865,38.70035508821108,34.50834896108318,36.27509865546582,33.56528480103401,35.054947268511995,36.87613495415384,38.09197465921798,34.506040815325676,32.48144844647384,36.172594713880066,34.522294647503685,28.566641912692262,32.04343957373622,36.82915395128377,31.694541211459004,30.282434836264773,33.86927480839753,34.03406813956584,29.39018774256749,30.85166693845669,28.529407625447245,34.001146938475124,29.0467142999366,31.789036480551424,35.67421495629666,38.687346683355386,41.81699151820097,43.31957242744621,45.7165752643904,44.81930711927704,47.67120082233716,46.28834381781474,48.501555191265474,45.98335702497349,41.000160299673,43.773696976157346,44.5569272249224,39.890309801037816,38.90582727634991,41.70158228476209,38.9589837707659,34.97059994705012,35.86602986030755,34.72359480108405,39.744937342239695,42.632400311985464,43.09044234122469,46.52252691597005,49.57906510983456,47.851978344579855,43.975413736034255,45.24381842008579,47.69663241284579,43.39656683425018,41.240365645862425,44.5153670555282,43.73211988579208,39.66841044612386,42.92808129728568,44.51179703561819,40.744305607362335,39.79487932961528,42.94390162708843,40.66674454422563,43.36551819978,42.70815972032823,44.54965343788587,42.28606039292427,37.41896311654306,39.93192722625388,39.49087737633431,36.253442703468615,34.69964262537228,38.68481946301208,35.62921054052582,31.081039604860184,33.22071066885428,35.73583831218616,32.25045939520583,28.825024862361655,25.322388202231547,25.303282133922252,21.55308000210906,25.096703052007072,21.97804444808943,25.34054506989782,24.85228528296499,20.180121708904387,20.8921260754827,20.385742552728388,22.19715143378535,26.81738482465393,27.139319212612126,30.755840247208628,29.674283290954587,31.315684173426455,35.473810995815185,37.81988144967334,38.84076343682729,33.65476801404741,34.48283960797359,36.68736222399507,32.9548263234527,29.874382951791773,33.56484701800693,35.280182321747745,35.22792593759363,37.71995022768538,39.46268163842682],[29.348379631169614,28.00980513156647,28.222997842510704,25.411505883537185,29.10547099787239,31.496411561512293,33.1100520154686,37.61328794645373,36.979549382411506,37.08524814625303,39.99159654651441,43.36713724455184,41.68582002144937,39.12505587466102,44.30472018124228,45.71122826900382,42.60831436876243,45.95715869534894,45.636797687758886,48.60823514361033,50.31397114479078,53.2747814184593,52.86463232852209,50.410836049195616,48.99997928490206,45.79619009449545,45.03499360018053,42.70784220285474,45.59328596894695,46.93130075250777,50.531239944909665,50.88984922108395,54.839589959850244,57.59640808620117,54.83755772575112,51.920781954138995,51.48100393256517,49.63128859025747,47.93445674712347,52.53406062915706,48.10263057776628,50.39616899048674,54.54547310779476,53.489764487785415,53.83006805077097,52.51554548864593,56.68746964607445,56.87822093481285,53.09797071659591,57.09837162641516,60.10610084616024,60.991447841094704,62.49114467912005,58.063073448864806,62.69746551392405,64.63614758034846,60.51633899272055,60.747778709167704,65.43546339292651,64.16723166583745,60.42029525922932,62.67386805477983,61.50298255985362,61.65134513222873,58.87768972640483,56.27809995073016,53.129288191889415,51.54488444476854,48.050867008143655,47.333704949358044,45.49236687193382,47.31185137667853,50.36631834179652,52.655463464402956,53.59568654712929,59.89167080490038,58.25453421656607,61.968552062193005,60.49177858212232,60.733367941395564,59.23761852375627,57.44159548965314,56.77206643263001,55.338720515414366,51.6143373768161,52.07434753540122,53.676371764983955,56.093469574023224,55.18393150087259,59.55162616999833,56.944429159280396,59.848598205191664,57.05861255529066,55.829772368822624,51.21266672187912,51.833392191500614,47.57556312876161,50.818087430009314,48.696775093800085,50.98099247717908,51.50444890318447,50.53551158857978,51.13641207513559,48.84271555079223,50.11087403489403,45.33538323475397,46.87501257090234,44.26605921343965,40.57932351260789,42.45625375618117,38.369105427044886,38.4870623245141,36.61580211391033,35.44991435875803,36.674964855692906,34.711199621872744,37.91975378662604,35.874174200135776,40.58944592946665,41.420213400862416,38.15514100527699,36.58728570729506,32.34057550661181,31.900266245537775,31.606821405268125,31.629236881786877,33.02967831002094,34.56123591786226,36.466402953096086,40.97542676142551,37.225151911924684,41.462218128957296,41.38104262037973,44.69052670860144,39.36845866660098,37.174646984219535,32.677771701207526,31.947833733116177,30.475228128060923,34.264375212099104,33.11025450099752,37.580971927716654,39.238071072075144,38.167981116537575,42.13971554665969,42.659851788664774,39.71740221591293,40.91204895945647,41.014039163571134,39.862665227518235,41.79671618810531,42.554997368547824,46.84203272078262,47.265581586865274,48.348826521444714,48.38855388077472,45.91158770033744,45.83284437457816,45.902648823641655,44.19949185311692,41.791339148877306,44.77216435138634,40.32183790630364,44.81028293036014,42.426686598536975,37.67246416851431,39.81721770572524,38.865729824449616,35.98985369103668,34.06771697455601,36.07630818387966,36.462109047577115,41.60379174286401,44.380319932942086,46.9323160763623,49.321356179716766,48.98620683193227,53.94609472215412,51.70871925419591,52.22379566683243,48.31750233763228,46.17462298918598,47.978229396715506,48.68561180096768,46.006407594924106,49.1421901968131,49.006618343705206,51.495825090407116,47.32325851676703,48.84264913926998,47.44219352813489,46.29414808008904,44.15989718189973,42.07011004305829,41.97765978519333,40.72806366173167,36.726376252728066,38.715836902572654,36.21884649373961,37.99880179439292,39.81637868435453,41.280848155656344,37.744147206643945,35.60540824799323,39.3784490142381,37.95707759887364,31.96533771152869,35.332422008718666,40.277634068246336,35.30161417104894,33.79480733255318,37.355752529179895,37.70547281782021,33.05647638080098,34.32755936270433,31.91524744618756,37.27052834236763,31.946070897287207,34.8379460984869,38.71234875518566,41.45612003889596,44.53160740066077,45.918105522280136,48.49745563652747,47.560653571637296,50.38727931524525,49.12106293766926,51.0761455518481,48.4633619473565,43.67387661687009,46.36609002091048,46.81569717009634,42.18408395186137,41.321379080165144,43.91209271498944,40.88924563402573,37.07890981791205,38.02611886215984,37.30150484294876,42.41576984057462,45.29426385255734,46.01702752034422,49.49483162146661,52.688972401020294,51.01757234652449,47.120488592928155,48.47133676749884,51.06434476104606,46.80950178137,44.637026025109215,48.02005013322923,47.33616167957667,43.245121978073115,46.41217148412541,48.10478348507846,44.42420493027918,43.33027316300523,46.38483556054697,44.00901774256113,46.62325356823681,45.939969101670435,47.58325825257861,45.345568869368776,40.5880690446303,42.88998949998473,42.29162769012737,39.147331913825894,37.525780106631935,41.198333552259726,38.069979488944284,33.71393249278099,35.62955723315256,37.84301607126409,34.341478250439295,31.09553185492517,27.955295359653054,27.385590611285345,23.955565146083913,27.747861401020884,25.080890427704503,28.59684511682811,28.422343066377863,23.666377791136192,24.19583624062407,23.300817438894565,25.083606805705703,29.79079217186746,30.340381397673685,33.76515726011568,32.81631241932296,34.8057635544837,38.93598757346286,41.3539162431807,42.42874324903618,37.251809348618636,38.18473935766269,40.45486455561955,36.654479142210555,33.66222054487305,37.384308065007374,39.1258763770243,39.047898835752214,41.50420345322326,43.19540147206422],[31.974138035567396,30.24778013679244,29.67952354381723,26.483434755562687,29.41309747738644,32.07962690996609,33.06069872848699,37.605924512868896,36.85722195314931,36.31542575325987,39.21493060844432,42.82768593483653,40.55325007604721,37.86257526877952,42.92924361703894,44.251458288185574,40.766346343732415,43.76090485433164,42.90145865639817,45.901834896140116,47.265220968187194,50.0954091465575,49.434651317568836,46.781448542508436,45.64744635279485,42.63365719911034,42.19128705471583,40.212082283428344,43.426396296843485,45.193961724442204,48.74399234521028,49.47125844210479,53.48929676928185,55.88374765734952,53.03414072084417,49.8323181296618,49.67737864243723,47.276827185125285,45.441036883551476,49.9130609683865,45.16199900135937,47.426785696502755,51.51087043592175,50.38812518541678,50.44320827412924,49.09452485726525,53.19561789110549,53.627177324250894,49.993631317765455,53.922194220626324,57.06906504502217,58.16903565992192,59.685746282225985,55.42275742206596,60.122838810565824,61.749997396701225,57.51307215534188,57.98442123914637,62.5801056363205,60.99784365030796,57.29183253927779,59.692581891419614,58.7618401256476,58.5660264404788,55.72449829675856,53.40183249604398,50.21192467953405,48.99105247347505,45.40266050601532,45.1048310818502,43.09330749573997,44.88125084661915,48.05416075893207,49.988601143268404,51.24858048786418,57.426522212211985,55.71461234910022,59.6386650834755,58.1117198501116,58.17970549281355,56.98931107529778,55.06866251650789,54.831257354140206,53.26548507034325,49.35237628555408,49.94913169327575,51.26586728967016,54.06674050812617,52.84443039089861,57.50549888847737,54.83335876110062,57.7336825759177,55.19120376205703,54.26451908223944,49.76932047167826,50.570756901637004,46.42519779242963,49.78637199291033,47.93504076717711,50.680572098951224,50.620354003182605,50.017380050169066,50.06222892418562,48.12483354767365,49.10755776205752,44.61631168691224,46.44263400438289,43.723969332294736,40.35273736437364,42.224224076633675,38.261025866972695,37.75091664122856,35.97597338867041,34.21702692081906,35.194275491836414,32.78714033586477,35.66914070555142,33.1578453875411,37.66560441849468,39.01978241004357,35.822902438551395,34.66718057994991,30.25627380733676,30.293032931427366,30.602979166996406,30.431817887592395,32.73344281157341,33.82744769472871,35.848999778134186,40.06999297930218,36.43205098118978,40.729911678285234,40.10144945950151,43.46995914996132,37.872985109690546,35.683201577645654,31.352525366839412,30.16951827354392,28.35503780760646,31.92070433797281,30.06126215246583,34.24868443040387,36.22835672282933,35.52369438038107,39.5083885122845,40.43520027089069,37.66972330198551,39.35078484744517,39.84032684694074,39.119903132370666,41.499472110661046,42.524957611798804,47.022962237209725,47.855473618821726,48.49284149244885,48.19566267698833,45.368999280083614,45.326657139466136,44.885411215203526,43.261039679013,40.2838350376673,42.87623691085564,38.097062065943504,42.462396891809846,39.86017797518246,34.92446971697139,37.359557947008625,36.1017402794557,33.62539106289661,31.64202683123867,33.989687093719056,34.33985361226873,39.5459103543869,42.5110949556896,45.14469867746992,47.85636408847189,47.47240794529981,52.456666598669706,49.86427339860541,50.58398730888951,46.369889319279274,44.80155488355979,46.35736037193322,46.82680135023778,43.97789207975133,46.69573100409127,46.37294954575259,48.620301073936155,44.14346854746703,45.941681255538114,44.65229326065564,43.795535192570085,41.92439732377532,40.171102189710126,40.421537669658825,39.53029393351749,35.72557451400391,38.184872864361445,36.20496962646189,38.049285084410904,40.37076568526357,41.91711979671224,38.273740757162464,36.54237157554723,40.605930169788394,39.217858878969395,33.38496687774051,37.07589495881997,42.090601284467255,37.219577500558586,36.056616223391494,39.814142772731586,40.036385701966005,35.64348868584692,37.268404255092875,34.685963513114125,40.19347421932385,34.68127513269528,37.18881674882396,41.23226567238758,43.76939490404479,47.18039943030945,48.194913635171766,50.45736301282486,49.13813066607152,51.676314970480234,50.08337804984563,51.860380928615875,49.55142179601861,44.62753168283425,46.919816230580835,47.34377080639817,42.91074946788385,41.72863493586633,43.9064562881884,41.15547922243752,37.52574542564024,37.72127600859597,37.64182439724781,42.34339242340004,45.44649494620758,46.63139196638144,49.888147891535,53.45491813624115,51.45003518128524,47.55359906998615,49.4854637164491,52.04993009847744,47.64503787374114,45.868463502585186,49.52042712434976,48.85930164711826,44.906908397890604,48.322431236290605,50.14863629535748,46.54336417744884,45.64986003879166,48.77205823922655,46.264328645294164,48.59288428394543,47.4925816779876,49.15388931716781,47.377340467280675,42.40126313473229,44.305354287258154,44.05959591096226,41.085837699087016,38.89766714013625,42.61399711431552,39.94851551812388,35.399506052938975,36.69961600591719,39.19003420283995,36.1250952529564,32.78528311826868,29.820182164804947,29.49937061937503,26.426685191519976,30.575343096457075,27.71779317858032,30.794673070798197,30.592851124069032,26.045256988771808,26.031374530962722,24.98952395000967,26.10968926865384,30.85472885816917,30.91907099438101,33.901410853928915,32.69444506377655,35.63601356532,39.51566467505446,42.28549269913882,43.094333373233944,37.97452070475794,39.55864551059749,41.735855635950756,37.454880631395156,35.197618747543586,39.20834658140452,40.77992305168314,40.52536546817254,42.87529048224063,44.41016928445832],[33.53653974237822,32.061046236847545,31.874840848274868,28.253061643296718,31.617377326587416,33.58137900555427,34.44802492630772,38.9235019893001,37.642380874785765,36.97749638893628,39.58114845448812,43.36638735018217,41.314181811474235,38.19592386217104,43.177169854814125,44.79176793488798,41.413409013632354,44.235653396618204,43.26124835337259,46.60131620791043,47.801899343549906,50.88042059972454,50.019793672630925,47.43623168933232,46.54682764830289,43.35202302579421,43.20534457051645,41.1578369904895,44.288888205189096,46.13733167036553,49.129614336074525,50.26437072631278,54.09050483965916,56.430611790376844,53.84297208113659,50.63039584346226,50.816349127707625,48.47122713206931,46.86572942579015,51.64461737824277,46.732764226769625,48.568847457335124,52.76243159101452,51.880586944001685,51.9183499505994,50.816226221077,54.881152660574315,55.23324637093547,51.8508673875967,55.9682527497677,58.97747062580188,60.21875071404757,61.537056204615084,57.22525254801459,61.77521831903396,63.32083489816354,58.96007485200333,59.274527232989584,63.82805820929568,62.25397630091666,58.30211019199307,60.430391550956784,59.39108533652139,58.97892380459737,56.358523401727574,54.11956593359442,50.50696686894772,49.30218636727683,45.39833441330256,45.00391870737351,42.79369098663659,44.22637171446463,47.674539476953534,49.75255180882984,51.30756624415701,57.47282631034139,56.15344760307268,60.10099839837794,58.865178462320706,59.17988535803568,58.235709869326705,56.61060452492456,56.52877571367659,55.221639575545424,51.25465041253596,51.530066295905,52.53459523868229,55.28365017058524,53.69134781496987,58.17906688019278,55.233197813001816,57.82888059742948,55.26252039345284,54.441110959173805,49.995932756846514,50.5163006833325,46.42355086765026,50.21814899233467,48.553684312623595,51.49800252425737,51.636926616332225,51.45172745851205,51.551665238559295,49.98470812134927,51.34146879969074,46.91484671525612,49.036181585633116,46.5430878341276,43.10310486816257,44.640718098683,40.52510349151836,39.82147852053874,37.616490496930105,35.866553049012786,36.287502146829176,33.91462279377504,36.5499704195836,34.03894118895518,38.073980626722076,39.42910402599461,36.08726547676558,35.0622565269903,30.889225109996737,31.225553000670104,31.75006046276178,32.22849571546536,34.69929392427803,36.10051411771194,38.41939351719796,42.71074823245741,39.44974142442901,43.879496501097826,43.230306567803794,46.33130957780449,40.72399255478715,38.21497746144748,34.252839517019716,32.56595315627332,30.35340365034096,33.76170116041435,31.59252747455843,35.682808758067374,37.43466036617525,36.952118045006436,40.99434956275647,41.76773000405888,39.07028739612728,40.73253563731235,41.4643198579419,40.50965186914579,43.13040988502048,43.745978774273176,48.408824716849594,48.878033829405624,49.35695197655568,49.31703820724259,46.4817025205839,46.83074088213913,46.23650759046473,45.1249028278742,42.25348830013682,44.52079571713014,39.94582182897565,44.3566556696353,42.125437666785224,37.284400259234786,40.09896867606223,38.996095170364924,36.73126354394911,34.43697732391056,36.804106799324046,36.76897765734759,41.922158486946465,44.74951681148001,47.16071331772982,49.83343049738521,49.0711809965866,54.24830153815326,51.79946516327096,52.7436017899598,48.69749243057075,47.20098937921238,49.0805969620534,49.681870549263564,46.68946162629758,49.11711887752851,48.449578401589285,50.890983326107936,46.379944698129634,48.51138448951037,47.46510073956396,46.596472138958774,45.020809550111444,43.371171494572735,43.77255011512424,43.08328872858956,39.1859523920802,41.65754478839162,39.6435544781566,41.17049042031422,43.6634387605004,44.90332082177564,41.13252982483865,39.66944960450287,43.670735497139695,41.92887045152588,36.1616579933425,40.020957562458534,44.79769419949181,39.609908905657605,38.57314855792412,42.31097073274981,42.17903591304032,37.69425508979941,39.536626646417055,37.21040308126526,42.797580388045894,37.75478609753007,40.28062800568397,44.283751053884075,47.118619464166024,50.43977480898203,51.678654862024075,53.901496629723574,52.67603011926904,55.26090849373304,53.56500302051332,55.55002674483175,53.30829275069293,48.234070777830865,50.56736023044402,51.22423978028755,46.769660961357744,45.4806987614091,47.7375027839413,45.17887409596064,41.460542521801315,41.50539238935863,41.24373296368904,45.7671358403644,48.95326252892244,49.96854183280039,53.12563152158996,56.606850486326806,54.42834643684253,50.557731097424295,52.514097400316324,54.85123254223947,50.31436084767525,48.653675242793156,52.13415487421336,51.25536314549701,47.37360142030952,50.95865100501794,52.54676972997233,48.709842656515995,48.09952476215573,51.36735973341312,49.05357610530992,51.562275801482826,50.53971442785852,52.43251924994668,50.55889514532683,45.49503938433647,47.66008874807727,47.51439140641333,44.42844396893819,42.361637757614965,46.3140421148181,43.61003860816732,38.96591167716229,40.47036231026626,43.101800993913365,39.95695644184921,36.54531846272832,33.328693006617584,33.21523727798822,29.873094271473686,33.76814223189752,30.634200257020186,33.69420390309732,33.02350389809961,28.569398739242104,28.912701845046854,28.285957977323783,29.455567311817315,34.14707128579593,33.82111107310757,36.943060292385,35.3402780871474,38.095184593731126,41.932344573461044,44.700499559334474,45.17550520011216,40.05348686043229,41.63172867912509,43.45590527980078,39.04610938226582,36.93233050673053,40.84124360636085,42.03334326673524,41.56173646401092,43.87557875730295,45.38057913334925],[38.16342187750302,36.49253774457312,35.848063433765,32.08900409112832,34.85983974726539,37.021379642623515,37.40351726022406,41.84109487895502,40.45068006521368,39.23067448080964,41.742031627413205,45.71084374290067,43.17465645363541,39.9184707737827,44.69290232385316,46.25298776622073,42.54959283015856,44.91619133278784,43.308449643593946,46.69812098296602,47.432403931271,50.34729135938065,49.130823713378106,46.31254369913293,45.85374228132104,42.92855757232501,43.22731941092952,41.620123432139394,45.0618224493351,47.35280202942262,50.17402927194816,51.736962193428,55.56621631715792,57.50727113705511,54.886924551354454,51.40035933260561,51.92702360756397,49.01522652972336,47.28722048504095,51.86313502773194,46.622237262202916,48.373677013793966,52.446073519642454,51.49717850386392,51.14372812611906,49.99160321538108,53.911089263725586,54.61000021679475,51.44926187961675,55.40088998079104,58.58879828173799,60.07873523971338,61.42503516733868,57.35522469152754,61.95008198010417,63.10518929209192,58.62781479207109,59.232355869839225,63.63659835479914,61.67620975492109,57.79152757770746,60.05612408564265,59.303719336147985,58.42666240327216,55.78079632724892,53.92778285082849,50.222903054066364,49.47548647442592,45.434738551428545,45.51058227118815,43.08103360143563,44.34510082132547,47.97540445218455,49.65116737924,51.643626817440676,57.61133876185337,56.29896926009723,60.45953907501547,59.22320380184852,59.365127371162906,58.80096314865411,57.064306694680525,57.46150129565604,56.018864028245254,51.888563497489635,52.313761363151336,52.97326541570327,56.11772145281042,54.15631165811788,58.904042479540955,55.86803430661437,58.3738969745367,56.0942934903409,55.62070597866192,51.35493208426876,51.99130536268284,48.067785077546695,52.01560968559731,50.64940237419409,53.99949553411468,53.63392936105582,53.80727234985876,53.40133941423932,52.179519712196644,53.24377041042272,49.11482247348098,51.42589510190384,48.8253630247312,45.70090800865248,47.26839460922608,43.316728741761274,42.114679758288766,40.038889353631625,37.79026856974929,37.93670358127082,35.17177766649472,37.36848064344319,34.37910620598049,37.986811928424316,39.944432167467276,36.71482262708187,36.192776044904406,31.991412852111292,32.852102752914114,33.95087225156222,34.26417911535903,37.44840880855172,38.44260879575405,40.7861519168663,44.75265094499468,41.56205612527441,45.944823835888684,44.807069549230086,47.990643061301526,42.202567063979,39.79915479612922,36.01351577575224,34.01040837927935,31.537246866250317,34.609675400977956,31.65850250037803,35.25932284082198,37.37637103327893,37.368023501535745,41.34723040777292,42.56312917313133,40.1093611591109,42.242556420412356,43.34595951259099,42.791333862265624,45.76518192917263,46.582700346235704,51.37565655873203,52.14006700572845,52.253437487910645,51.9557977947842,48.847783146413896,49.244485968160795,48.191314007723044,47.173878758820436,43.79898376629754,45.64016415582914,40.78838163693069,44.9866075093802,42.51577065196037,37.544058126359914,40.57889969133493,39.080758266684775,37.29153011211766,35.07708803432092,37.759413051827394,37.75109718719917,42.878956628424156,45.87530095914391,48.35265163386542,51.322446067413004,50.52292963109948,55.67156593736239,52.87963163206797,54.015209911666844,49.67698129492105,48.77927443620818,50.33777252198785,50.65339843453941,47.54853257161256,49.52031313603786,48.67906859556899,50.76437488628405,45.92814247305872,48.33351738548755,47.369548448285805,46.89623718141741,45.564958640228845,44.28642310136567,44.986612343123,44.57645120365879,40.97172844050595,43.811047248055395,42.25274667075552,43.91858326584834,46.69699967344718,48.07902886476534,44.299990924798834,43.05111507064605,47.22318541231035,45.607969390063126,39.96610108081377,43.93062714778432,48.78728680839205,43.7506594791057,42.87043673899674,46.69285190525175,46.566074682941604,42.23468153235041,44.18573258501731,41.73361052908768,47.34253770809822,42.05244940878534,44.425561108276874,48.50369917693564,51.096228011775786,54.57958208422768,55.542422462058155,57.648397766208056,56.17991512234768,58.56746941249324,56.7280422914322,58.47207590443473,56.39280827436384,51.35938838758376,53.38749938368282,53.87027873354882,49.59774733857806,48.17701796047353,50.05159032399071,47.57140176748026,44.091489952943576,43.689524266933745,44.01950280085334,48.26557283469324,51.55982840516446,52.976344626068965,55.987732402589295,59.75059341602423,57.38943020541858,53.536070394962266,55.88563501045761,58.25071515469767,53.66350489615849,52.25389086150414,55.92437995513175,55.102546688900404,51.31333548744472,54.994727711831494,56.701155291143124,52.954899913517956,52.40547141144272,55.66566334660879,53.23913423209001,55.536434145503776,54.257158027877395,56.066207279003876,54.486992366123715,49.36484407327197,51.19267767685129,51.18852065389066,48.25706561077673,45.84782856236289,49.6612240464283,47.21122063527238,42.57472589908994,43.61876051414257,46.250349926266104,43.37755501806975,40.022921935405016,37.082472648605,36.87210956060508,33.862097158922374,38.02221763443925,34.99193427386228,37.87530317535733,37.32316870528453,32.96534244274486,32.96831565119834,32.12289682372685,32.92359609284553,37.60177581503899,37.0994531534288,39.83255602576616,38.144683283195455,41.57454347388922,45.20936538228494,48.19809200699839,48.51516033623315,43.484683052679344,45.48085684018502,47.255071979528275,42.56325666206708,40.94277260886729,44.997699891126146,46.08081444668101,45.493428526010035,47.71339535939354,49.08999591468345],[34.78553475735319,33.268458784127006,32.90183513263217,28.767696113490175,31.981544138399556,33.42402693229342,33.80972315530137,38.158859130993015,36.39543872333186,35.290789045849266,37.61202659972826,41.60462202802611,39.4558910473587,35.97502183521819,40.767588661543186,42.5560299688656,39.13870452449252,41.64574990977749,40.40423176819055,44.0056878174373,44.96756322270493,48.20934115865436,47.13914495441776,44.611291182790815,43.98014365204671,40.6878122430279,40.8809604857704,38.899627946921385,42.03542618989857,44.10093908479319,46.58372660110236,48.19753497093256,51.866354944873336,53.9887982621377,51.596594619504486,48.28971122426887,48.877776865748885,46.40479602530302,44.98395631980026,49.98209664603932,44.87965832825302,46.281537788328734,50.53100838280158,49.88237723315925,49.86504710550584,49.03641307438765,53.03236043561123,53.30985412689151,50.24223746923994,54.535195224476176,57.384853653260876,58.80520583792763,59.90301532330794,55.605446205562835,59.9925249885072,61.37313266319273,56.886509045360484,57.09795021487598,61.57106926655435,59.95060119280856,55.79589275838537,57.70336129428806,56.63840739555376,55.96417054611027,53.52718874826881,51.4366071856497,47.48700872873914,46.409823724429486,42.260362288010775,41.94219210139436,39.54123767360584,40.698951244540716,44.35690673456246,46.40429543089968,48.27467638914708,54.356169930770726,53.32213452408324,57.335194420380624,56.32817242778296,56.79970210795718,56.175025731391955,54.79539698867237,55.00215804519549,53.91471894682141,49.867937850613245,49.8710683576756,50.48267237307372,53.29263921861218,51.28048511202616,55.696742936570516,52.52469137769254,54.86818782759774,52.39611551534028,51.78797388748944,47.46964360237519,47.86044461663112,43.89837663564382,48.0438818623711,46.67795269286462,49.995163326218254,49.994248989107234,50.35244675396543,50.22982413266053,49.186813171161255,50.76346135366725,46.57536044508102,49.11173697463016,46.83758874733624,43.51909884954503,44.68623773123211,40.54139842895237,39.347755441004416,36.825186280770545,34.83402834139737,34.630546229696,32.14481816982216,34.38523185512117,31.75973586932457,35.25794131185486,36.76397035493291,33.374933736325694,32.64118087709266,28.6845169404228,29.479501818811976,30.46582659435545,31.431806101979625,34.442266167650494,35.893904084651425,38.52663967414876,42.69527631748812,39.94975289023677,44.49855146059475,43.61485934337686,46.38471310480178,40.734310834813044,37.91139084258597,34.49375110103506,32.12097287009211,29.428034951972702,32.52219793928222,29.89463184835535,33.758146100816234,35.32039911903822,35.1546513152987,39.19783106361319,39.944559004750595,37.41159363390911,39.22609035684058,40.33912634749443,39.39192785596467,42.41655982654015,42.81139445352387,47.67802966553436,48.08107153421324,48.16182076872563,48.14315508224153,45.145947463759654,45.84782715904928,44.873744548915305,44.282696161321354,41.303645755937936,43.07488435756069,38.644150900968896,43.00591992229224,41.13217566318893,36.43030999278623,39.706036353782025,38.76490533723364,36.87102220045916,34.20749121374851,36.6416424601588,36.15959153935534,41.19662966343796,43.90368122239579,46.08841749772436,48.81864497351099,47.682071889580406,53.004437428017205,50.57962863267256,51.81651592239294,47.876171485570296,46.67992517281477,48.802429670686266,49.47518404888074,46.293718379351674,48.25467122716147,47.17155832985084,49.761006143678614,45.21189971437897,47.75003450189932,47.03239541593637,46.19927264765743,45.06898939585521,43.650487967678316,44.34345425209542,44.05509645014758,40.1555339571932,42.797826616086226,41.0090525669656,42.16448780039538,45.09838384566338,46.01548025910086,42.092986674936775,41.184015353311224,45.24149078994371,43.15860561647767,37.648140085870615,41.84206298366801,46.353079307678655,40.9845279402065,40.329846017693974,44.146826852372286,43.578292337568456,39.263254496279615,41.560959588972764,39.38046616048736,45.11439587365338,40.50823201765054,42.71187423341315,46.76241950763609,49.793518935201654,53.278723651376055,54.49267334749455,56.376282880001106,55.000922581483294,57.43156523285551,55.391357340179304,57.544884929171566,55.61439842084873,50.26574645621445,52.39868453487206,53.39103087452499,49.05318741760961,47.42459052261046,49.56535571758347,47.49341803688408,43.75690149237344,43.18518469668235,42.986291869330614,47.01070813656159,50.387091673944774,51.428682675589066,54.31221522104637,57.88068744593898,55.324754561059024,51.51629606196028,53.823461298653925,55.87195368102565,51.144892764236786,49.86546387142574,53.30909113796506,52.23341538532101,48.55170535708094,52.44948978317337,53.877912682684354,49.904522158121004,49.72342270506459,53.16565246167208,50.97717032817548,53.45542824567993,52.23625967740617,54.406317215808926,52.760259696808006,47.47285047971311,49.661706280137366,49.89930486648773,46.816345462172386,44.52768604768445,48.80817346207461,46.42147448728629,41.529799504976495,42.89409464299017,45.93043822569222,43.02230799237235,39.441809644422605,36.018213081493826,36.44527376131735,33.02252774586826,36.80849320123964,33.21805349824692,35.87888707215666,34.726101013490236,30.603641147413498,30.928062409498484,30.680785093551684,31.46662586860054,36.021100298006026,34.98114498596389,37.95691596007873,35.82610346938213,38.86502418668191,42.45295442561236,45.38780206191401,45.38036410189383,40.364307004755325,42.31272694647964,43.73764336690511,38.98472668314797,37.49814757614223,41.44564473972951,42.187684616577464,41.444055102691266,43.62836348376518,44.990516026660714],[31.40484454416802,29.733849247237295,29.17905143039177,25.157849397351246,28.274909842130686,29.987643268803126,30.49939736693002,34.92085493627984,33.461981418347776,32.54924152874357,35.09867238919731,38.96093912856401,36.79167889726878,33.59424619018793,38.53672390341878,40.16441868221864,36.77056828873468,39.55773152128731,38.62879410297781,42.01656842093311,43.271801543360496,46.44766676908303,45.64871969639803,43.185673327653554,42.21762092181723,38.89758670949706,38.73493428640506,36.6053997178687,39.68419692017152,41.55665411699492,44.44328618061699,45.67397110114054,49.47105458438351,51.761537770184574,49.21556400010634,45.99994161605385,46.2786451702267,43.972886047571876,42.47752850257644,47.42248130547914,42.52216623098038,44.17491198335593,48.42949366274463,47.690819915192414,47.86081878544836,46.947752179220124,51.03506583295819,51.18147845452039,47.90018226951364,52.20195943758576,55.02931786597677,56.27850104501863,57.448073558166804,53.064647311657346,57.51357410300368,59.09113148272231,54.705934874283734,54.87398034867033,59.43792552110554,57.97595233902129,53.91358793792034,55.917752967937126,54.795936716455905,54.44296226079011,51.88087676320672,49.57413013767157,45.90944979094083,44.633997226311436,40.73028972361549,40.29608390475467,38.10786807088796,39.59489200677301,42.992592019176605,45.10070541560745,46.60584606792399,52.787680872645716,51.49642231705796,55.42233808393351,54.23869570655263,54.63769465019018,53.73281509956902,52.24299881540614,52.19610177926793,51.04077813768116,47.069187268451984,47.16393126700694,48.06351325499117,50.760615364880614,49.084193809569896,53.5179454584237,50.537895164194076,53.115757171714044,50.55235200557062,49.756440289930424,45.33266316021692,45.87951325970225,41.812578600688276,45.64471625799285,44.07413302658102,47.18675261740809,47.19485603720378,47.23552874467507,47.21843083283996,45.90068587457093,47.40504992418932,43.09933133781796,45.4945533769245,43.17447189707097,39.79703201169673,41.06218806428449,36.924029979620904,35.90867723489571,33.52600633192749,31.651105819391862,31.808674970248386,29.4157993151058,31.965983201808427,29.51275899982617,33.487106225684315,34.756132191238784,31.39582374787838,30.389095424963458,26.260213301243464,26.709162403638278,27.418051723369143,28.128416748629075,30.91650485068984,32.35203210580275,34.893101995461656,39.13478032997668,36.273290679522844,40.81505322085655,40.077534649378705,42.88199570860626,37.28405210643548,34.50830528875588,30.93294853497618,28.786226898482557,26.30884755674771,29.609030680440068,27.428860046031758,31.575816149853157,33.087264663408575,32.610690310785806,36.668595206703735,37.32184540868018,34.653179147762984,36.32649762414513,37.21218712000535,36.26544890578518,39.10449720324847,39.66804264956071,44.447883309481426,45.00612346392866,45.23694905372024,45.12074986906651,42.17609900979767,42.66377143130627,41.88251901395159,41.01608387251949,38.13036193420745,40.19501282236753,35.756811232335885,40.19572047629941,38.26909173529422,33.58399134337573,36.66163695962324,35.864508629606476,33.72395783046945,31.081973846107072,33.38416068422976,32.99539804531164,38.07141105682204,40.7727474827639,43.028247394256894,45.684353139556265,44.72858657268707,49.98590171723094,47.604683675428234,48.68456882008033,44.774112639802915,43.3460211748807,45.47325498493535,46.213167552797046,43.109314005852774,45.34396163743126,44.4566707390383,47.13126013602191,42.737987509730885,45.0462462334743,44.22809014495978,43.218210961759056,41.92150576925178,40.33611357135673,40.89858056399559,40.5015211128672,36.517819199235404,39.05793179658954,37.178012269304745,38.336669871790676,41.21749571132036,42.15714977322908,38.25410033538521,37.29362254182876,41.35819240386497,39.32659355769146,33.80421419742037,37.99736630455415,42.54635431033989,37.25425143994861,36.60766907620618,40.4559679632522,39.96258557870196,35.70917886451835,38.01632109384671,35.75104759284387,41.50098527111371,36.85516637693123,38.95059746326957,43.02678626731811,46.03648189213457,49.59948399335583,50.75341130324939,52.55350401514537,51.14415115111593,53.557825829663614,51.50136587619182,53.68578522146127,51.77567575528115,46.39214729029385,48.54234608917448,49.59880975836441,45.25104992477266,43.600360644786505,45.80755987316897,43.793599703076715,40.004039269439446,39.45419957508741,39.13725858889412,43.19795996112916,46.55161453829595,47.54954387746113,50.45964607207581,54.01071651703658,51.50245898185245,47.68264508233098,49.951724515571506,52.04529379897702,47.34893524603715,46.02699068136609,49.51485940141319,48.49905979803031,44.794217930012614,48.666811090349206,50.167413968685686,46.267141483973084,46.02319017873252,49.44219492462962,47.202219602848935,49.6237304047634,48.36595013669705,50.52497769855475,48.92702717238036,43.6199289726581,45.77671729317535,46.05773272086935,42.98953059219401,40.65589157239272,44.985487014925944,42.671931057097204,37.72459039864293,39.08175814573593,42.216834740735784,39.370073653946534,35.73387028181389,32.25882340013666,32.87780453780659,29.45913460494104,33.238669356134544,29.55665914445999,32.10826583931744,31.01316337328495,26.916995868679198,27.12017450432209,26.874100342975364,27.592754952791957,32.13410112250423,31.114454006311917,34.11456087399211,32.071957042506575,35.08859646140915,38.71676382991144,41.64031299100925,41.76366582976771,36.72192768558594,38.65926750399572,40.232705581514324,35.53419569048668,33.9616992312001,37.974949689251545,38.90306927002542,38.27530895499175,40.49776807036049,41.90324699453564],[35.63984278090114,33.628713463101306,32.373716175676805,28.620405567615496,30.761376238819683,33.28792159464858,33.40317563155958,37.83815148373724,36.70920129117015,35.30526480509555,37.99247787756833,41.90938923161065,39.02855405701698,36.03174257119627,40.812707653777885,42.137251304950794,38.274028504457824,40.6824749703324,39.092888212263965,42.258664624085405,43.09962470702489,45.87309891189046,44.81183849399378,41.9763803103147,41.31475665913297,38.467733687736924,38.58601575344274,37.04191243381539,40.58112080274509,42.90718989892218,46.07656122130899,47.452811456498395,51.4165399317398,53.305725321418265,50.497865760555534,46.96863402692159,47.34684506563982,44.31907964315427,42.462192844818155,46.90684079319485,41.72181063678438,43.67825785033843,47.710398696202745,46.66009028594258,46.36769035150979,45.15027603678568,49.119444342742156,49.76864341221497,46.499475513138435,50.44438721497701,53.63736879468624,55.06397519529846,56.4636331485973,52.39248771740338,57.04875842553392,58.24477577471217,53.81815509274703,54.47798131014948,58.914038076338905,56.97868474390064,53.202584720689806,55.62018521741535,54.92954664222541,54.21255681461195,51.41556464226553,49.48793200968079,46.06534284679017,45.31707049680582,41.50622291421388,41.70650845364435,39.42067959641426,41.00461726681579,44.39884936456345,45.92355570187715,47.69895160459118,53.67337090693696,52.05810943347814,56.221855724768936,54.78590541393764,54.768897727068854,54.091339210107826,52.20011513606942,52.58049929629514,51.02487108564229,46.893197695923654,47.459546728530135,48.23397423944778,51.45020247795001,49.661013699619005,54.55732729320339,51.69906597840919,54.431842463239065,52.21173802639185,51.720451825483366,47.45354253673312,48.354426802884646,44.432040818754494,48.08386959599061,46.685586395248485,50.06509087386466,49.368746260005445,49.444328362510696,48.82375688572123,47.56140744391328,48.40039978327667,44.366803911728894,46.699697291709526,44.04537006261982,41.07912788911914,42.6925548673656,38.8713568583224,37.482988737994745,35.63039079567634,33.17801250704109,33.51250235325399,30.616546828968175,32.86912898289688,29.80792921874599,33.712839964347125,35.72360286605693,32.61101501503402,32.086590430164414,27.701040004179582,28.51684064239999,29.70563888367089,29.643980181624965,33.09049797156154,33.79146533686026,36.08622316179634,39.898240180830854,36.74678413295502,41.115862765980076,39.827074475655806,43.00107057745802,37.177304519300854,34.82253823520493,31.086490008684432,29.02934203627913,26.5861775308394,29.643116423500103,26.729015308286996,30.39745821903852,32.61342746553856,32.519751483629236,36.478848912518956,37.815948737873406,35.36751462945052,37.621835696014784,38.72359448874285,38.43423138390428,41.44701920282071,42.57378873333305,47.34135041621491,48.49367378986186,48.488163979143465,47.89608375925335,44.67189834462407,44.876182056608165,43.721972642366566,42.50692821735895,38.940155927859934,40.806536392331815,35.82549587646698,39.988118139212524,37.40151078452319,32.41239192195161,35.430162525483716,33.96694518544041,32.19858097044706,29.940162961131005,32.64670131124798,32.66331172411008,37.79393983551211,40.84479343967793,43.39525197086451,46.44096974658589,45.78221924516526,50.84157777849567,47.928551066273606,49.029118566338326,44.604335204211885,43.80991833056755,45.25992558009149,45.53478193715481,42.42069011156691,44.39185088199287,43.61416714545446,45.6833581304802,40.883663655193004,43.22828883218362,42.27350112371494,41.75821728268163,40.461274266554014,39.21923619325272,39.99610942936386,39.723751231518996,36.16408022018836,39.12755716609101,37.787879615852404,39.4207504412355,42.42690824950716,43.82014154247013,40.03598429094579,39.02218554393799,43.307402442820376,41.74829601736693,36.282756409997646,40.387720479729644,45.23926979010645,40.38552218727943,39.73506158467385,43.65556643672774,43.50894663394426,39.44834040122714,41.599807941835984,39.0066499006718,44.67188891972778,39.34143154969184,41.3445412438585,45.50714132149047,47.98870830430422,51.737788675451164,52.44079574254495,54.22469120954053,52.51365896227861,54.70036617680669,52.63116915504974,54.345829535556305,52.50749350394596,47.34801681818761,49.15015669978869,49.75846588861535,45.61841472717654,43.964022582963686,45.678037376925374,43.51246145832086,40.08121697444081,39.22470644879212,39.750388999134415,43.70725100400258,47.09172459827832,48.683821135802205,51.54805153695671,55.46685450665296,52.95116730562208,49.12674088212178,51.76058274599908,54.102379987005776,49.4879107937093,48.296062207449914,52.11949211840568,51.36081397485297,47.67574101353288,51.46064489914958,53.28517039581439,49.678288121633265,49.211725250859,52.47517950975437,49.95686306989603,52.02541222843119,50.47371135010406,52.308505653117294,51.057820905354006,45.81052269441315,47.39213560327484,47.67160200560404,44.86218137530245,42.1124749807299,46.027079291363435,43.95379281867567,39.158218874269835,39.86633619262956,42.79802469335956,40.265117867559134,36.79818423697186,33.88184639974952,34.088394097651594,31.259138022281586,35.522305531609796,32.28536597472123,34.758748358395735,34.23265362934718,30.110887091650643,29.71195035274217,28.83856936695846,29.188259699619756,33.764523166453806,32.97420991450827,35.42838233139773,33.67844616426669,37.56857761437914,41.02933169586329,44.169294437185044,44.440876045528874,39.497940476036284,41.83365191412487,43.666816329868,38.82161555545445,37.58136808168342,41.798267789888975,42.950438386756964,42.38483120780634,44.5459105472703,45.857950565347494],[37.47142069605484,35.51235388803964,34.24397614133453,30.05688746336779,32.163787817295976,34.09808461480141,33.794095024389236,38.068690714470996,36.437810528777625,34.623978562506224,36.9833968553019,41.093196979279,38.16576336924421,34.78250113856979,39.334940540469795,40.85697922103988,36.976725937077134,39.020513981400654,37.11250539985717,40.5803086039659,41.12687976569975,44.080644807309824,42.755989295478216,39.96708622918921,39.63550391759081,36.6921833895199,37.225007512993734,35.770779008514936,39.30571115743404,41.861565002490764,44.44586296095663,46.3468193309917,50.12062763348762,51.777677295976034,49.199811304516196,45.57781319300949,46.40059732160672,43.244895680071004,41.60012800985081,46.274534152789045,40.88251291501998,42.3410835284894,46.42643351798805,45.63442534622282,45.25821877703912,44.34012978194636,48.21528200087108,48.80624247151266,45.901499162933604,50.01494051526827,53.03594738417004,54.66627479635725,55.82664800335194,51.784141401137404,56.2544091800824,57.2643828602625,52.701681014934834,53.25665061873152,57.595980701284546,55.596588302690215,51.597035518843754,53.769035199609185,53.056090235504975,52.02343708804878,49.43719736913244,47.69444567712736,43.87880612553584,43.292364339896054,39.193920678935214,39.4910192438894,36.98000238980639,38.22952489485301,41.873422665148375,43.3543650302239,45.50833158890788,51.37562230013548,50.09834162093003,54.33470886706194,53.16270750356375,53.32251919015756,53.00449558896117,51.38951562002601,52.08313651502367,50.76909445269582,46.56452211432649,46.82960807135256,47.16788310243669,50.44418105294159,48.18715387649463,52.99239356399814,49.8793003064132,52.316973157981565,50.20213444520098,49.94603324463645,45.827321926690196,46.565935024326365,42.79749613366973,46.829725559138986,45.748142005699,49.48593930274072,48.69319476829397,49.33011054688216,48.51606687993825,47.79417299401847,48.88434558653033,45.09539265017794,47.82628979169238,45.412906104948625,42.55186751272058,43.780989154488076,39.93238396418245,38.10233728253659,35.912443460435334,33.26287701787626,32.92194145211327,29.933947319054045,31.725651360617512,28.536671557758112,31.781618456316245,33.98698956445621,30.831828981216894,30.651177427025107,26.545843699837793,27.86782959567546,29.523171344276,30.00753832312063,33.91671861325626,34.71266481596119,37.30887356965058,40.99825124118052,38.38080870996095,42.838546663635626,41.35906938075844,44.175926140215395,38.357735636557486,35.692227409566684,32.54397950021988,29.81458698352973,26.88938513234737,29.56990315362914,26.142960849638616,29.49854163856492,31.50707668205207,31.793392909216685,35.73263988655274,37.03720945500524,34.783321939139434,37.1797851205696,38.672047186636604,38.35907979013497,41.75029523664053,42.60582597937506,47.54901801821258,48.572489663175496,48.19753694463688,47.670818716236575,44.31650768200307,44.89977716446573,43.381016528169205,42.72659263348134,39.09627309822968,40.42927350367863,35.63807457803222,39.724906503044394,37.54238832530615,32.73477126764017,36.22602396553354,34.939739455986405,33.58018806194404,30.96438793567019,33.70695551537709,33.249456846085124,38.21709893656886,41.11739889424128,43.41077819755063,46.49458062875965,45.43564669454982,50.63709189277213,47.771327241226594,49.17512349527762,44.887878532621976,44.39285913251528,46.09989208894077,46.453631735156065,43.16303416853671,44.634636367040784,43.41109098702154,45.62072245322794,40.78966296163616,43.568922244369105,42.9659840190843,42.501309288427635,41.6738176395391,40.672358831826806,41.72459990546899,41.82920747082851,38.28093241960413,41.354124848456316,40.18830766392239,41.44613594931666,44.80676698476633,45.8717338242522,41.966051349211064,41.436855931793545,45.72061760186161,43.82923038567924,38.5983227665485,42.959416172457466,47.53691480277502,42.49340050554025,42.145521161384806,46.098747171956916,45.55433884949413,41.60514343811992,44.11440755651302,41.698443424325944,47.46670843026557,42.57403465726146,44.367795374163116,48.53724727363715,51.231590705072534,55.060143241929815,55.80963208744737,57.344555859988425,55.55800598397628,57.63927953644029,55.29913823773306,57.18510737585213,55.59784224578612,50.22090837062072,51.87975793817043,52.79200687249428,48.74969781802084,46.830686347879116,48.47171293653689,46.724773166140025,43.27481164031861,41.939246426155314,42.45627433260377,45.96757058456179,49.49858796269419,51.05990193988961,53.67933088167874,57.628998186162846,54.79054050066128,51.03751563815794,53.933404179935415,55.99313790429401,51.218716622101226,50.350373092991134,54.08829485533864,53.13239802326558,49.628534844883866,53.66967989856458,55.311300696615895,51.55928044011581,51.4757231895197,54.891353840186866,52.52043427872095,54.60996957971101,52.94236667213462,55.03223398326658,53.92081593465587,48.50957520210166,50.17420926877261,50.74959571966648,47.91854159581753,45.06330451041495,49.256698915369164,47.39514220339491,42.42159472250792,43.09672919090616,46.33378957344649,43.93906206715529,40.35135065615537,37.23251792380007,37.84878672784638,34.88564589118719,38.98319532091057,35.38511824353214,37.58877915015245,36.61035263442032,32.75883941299936,32.46074124716289,31.96584189111932,32.08792996430109,36.51416305115532,35.12117793513572,37.48230748975128,35.24740563592446,39.27479937688909,42.51175461813667,45.76148785250652,45.578215549540126,40.74860430614649,43.35129724946106,44.785771994107904,39.67533361690296,38.95841730786863,43.15208671578391,43.873038333841414,43.04448154802635,45.08430407968712,46.27185174182268],[32.88776849289628,30.849612669162713,29.47175394218407,25.128272290440197,27.2566090317347,28.98901843040184,28.682210605449583,32.96503299527389,31.356271465198137,29.68778936451699,32.14755203496293,36.192442697889895,33.40864854187736,30.11729545275583,34.83526985819382,36.35032039966174,32.61995473767899,35.00942814770799,33.60448554533397,37.02630985004232,38.000932304332196,41.115872060815725,40.144839727159564,37.603458212299074,36.82358374856993,33.59474797327471,33.723820402973146,31.882325293075514,35.20473978334777,37.47841616593697,40.237782684083534,41.84493384931517,45.65715018413129,47.56792106189568,44.974572911868684,41.521022941990154,42.113834518025826,39.35179303725501,37.82444184292802,42.745912012449644,37.60300481664543,39.071119686885005,43.292528212795744,42.61072151938816,42.63135571689047,41.847982083603796,45.866923965715465,46.056428888087986,43.00839402658275,47.36308087787368,50.14298651283692,51.58003508160743,52.64621022140262,48.374764672526716,52.773538741422065,54.111341962896134,49.62864733395115,49.89398469841033,54.369262692774385,52.72859785501138,48.63425592914235,50.6779351888025,49.714730267898275,49.10867169657027,46.528588495370016,44.42360304167825,40.70894664324827,39.72415195538143,35.77025622929073,35.7214821364915,33.41515027789933,34.93474302527044,38.358146562209,40.126844081831756,41.86845914747591,47.92124217138801,46.569608446505676,50.65144622354407,49.45096466214195,49.74640839483975,49.13886178858518,47.64015361178823,48.0020750242896,46.84314769009595,42.738749120144575,42.81810991279314,43.38125822079732,46.368910757701755,44.36918892273315,49.01161916727039,45.980069531068885,48.548345459462446,46.22947750372423,45.72713237722489,41.46764601858868,42.21827199601758,38.32290810427536,42.206700683844716,40.95655156959706,44.54138660440381,43.92559728878182,44.42539747666449,43.835638226085166,43.01107388054093,44.341763037166146,40.43199202622041,43.21553497026529,40.96638702578831,37.963713334454894,39.012567961684994,35.063903034577464,33.31237826191152,30.961476392616838,28.497587151209387,28.21760264806771,25.425940136925504,27.52468950060454,24.680258334257054,28.348128717945663,30.064291883608064,26.80704176560246,26.255090790584212,22.082258823083425,23.112759765810853,24.548310470139516,25.21358451545957,28.957759140324676,29.977784474989694,32.7040300216768,36.558704574435936,34.15562437910452,38.7179231971501,37.486090291263345,40.05966029592038,34.35377152530612,31.437142371484153,28.429989127759672,25.573858362212405,22.623339561343204,25.499856030304368,22.63690271383331,26.474738291063996,28.071747304286838,27.97238249587098,31.999803173214467,32.9321634121358,30.496700794682344,32.60975562599985,33.94986992526078,33.43198400100131,36.75266195950905,37.52725217312752,42.4638708929108,43.45135354575728,43.14061107890081,42.65861498262579,39.376933856136624,39.96535881833815,38.613710692334514,37.99176777920441,34.63823730216985,36.16492129411006,31.601228612981142,35.88214715360398,34.04040740606348,29.40560365205399,32.915489408031476,32.13026471718112,30.502192921502942,27.57790704941901,30.05948935867911,29.344566123192468,34.30553446262726,37.02769136389651,39.203518732542705,42.096356014145044,40.97450370546891,46.247356244994755,43.629089527253974,44.97518952109088,40.94495871593378,40.083438733847586,42.15372641022403,42.79026431808001,39.501793395656705,41.193518820048055,39.975283951629784,42.597889863371705,38.08639769798133,40.756926120461756,40.23010997204412,39.37285323056552,38.54719524127317,37.32450228257605,38.28082586523421,38.40284620569222,34.60902032266405,37.49748377076959,36.16185330530158,37.08446843021716,40.546054380907655,41.334923747975864,37.356242391268474,37.06053633660159,41.28661340511327,39.156639169960336,34.062024496535,38.57475734796474,42.94465695082105,37.8089429153728,37.66051085789526,41.62878380663114,40.865216198085015,37.049613780478865,39.80175211438389,37.481865409147005,43.30187205801042,38.81454736074867,40.35090455133331,44.51056351968547,47.414859302363155,51.31812934980865,52.129502830973266,53.42141371231654,51.63732568494105,53.699631860470525,51.19841227324673,53.34824660288638,51.90246168424928,46.30847531017758,48.00465609209445,49.291195635645025,45.234113718695234,43.14243787810415,44.96851587041458,43.566508583837226,39.94025172775201,38.45037943289388,38.5807051412268,41.91769717657303,45.494516335799254,46.81435022013312,49.346882141257055,53.18366980006854,50.23922111911695,46.51097863973527,49.39987986764278,51.29236120350507,46.45044710134872,45.676249193873865,49.32647107089345,48.26977634333316,44.84443568584165,49.008480342998034,50.54825925780753,46.74596339337827,46.85894305937961,50.35596893417961,48.08476939759839,50.19574868136692,48.49580334731369,50.79478947756281,49.733540853133476,44.21056043540305,46.020312639425924,46.817506340452596,43.94029272090839,41.08021884308723,45.58833719583895,43.88307934453254,38.72411984040553,39.52484894445113,43.10092856158769,40.793890438324425,37.046876799409745,33.640234143722374,34.8271148605478,31.690720107066763,35.546727389785794,31.565442895404153,33.44337707125512,32.148417006291815,28.56520695226669,28.284798558617037,28.16001133797126,28.112001404638274,32.38785366642544,30.600942674290604,33.05983691997247,30.578261785835856,34.45073505597042,37.641910144754846,40.88450724574714,40.57453674065797,35.75306477242528,38.401467117264005,39.724362737403396,34.57077762967969,33.98845194397277,38.19380812759894,38.82678453864833,37.97646956346336,40.00845496569899,41.19449272104897],[33.24451111664206,30.898362394708926,28.965124577980053,25.126670928927496,26.49855292547392,29.228499236334187,28.92798442780683,33.293547882268385,32.351357340759485,30.68132612009232,33.492821237178305,37.356787411624154,34.12539391461311,31.371547795631916,36.10956869744102,37.21200208404053,33.21349031676406,35.65002711553668,34.12487499442026,37.091164664807486,38.078801204299204,40.770368478584714,39.903595976702185,37.12703595388067,36.209069222945814,33.36571056047057,33.283122469728234,31.744877605014235,35.34105279485338,37.695009069457335,41.141190854634495,42.36908995272716,46.43282897808971,48.26297858010424,45.31017555065677,41.755749274670244,42.025407711208004,38.92739753419703,37.00449750093836,41.42289484703621,36.30509691623034,38.368306944167976,42.39817593259765,41.32560376759216,41.17458735436266,39.99267722008972,44.03100792957294,44.51468046318177,41.18084095173312,45.22070552666899,48.31002440099058,49.679086587217455,51.04579442011357,46.93258984686565,51.590380938572316,52.8673401029904,48.483202759049426,49.11209405214301,53.58795288223296,51.74674929571111,48.013210462725105,50.504167418762215,49.81648774284289,49.29245523808865,46.391936224731666,44.34642055663808,41.168620104563836,40.36798202772256,36.790668251067416,37.07235233129493,34.95297871236615,36.85841048392929,39.97890806749311,41.385432257076324,42.91703130503198,48.891988861137705,47.027745762308086,51.169296702261455,49.580010532765854,49.46481893122662,48.687965210985354,46.72551193664575,47.089498567355285,45.50225783133775,41.37010384410155,41.9737043548752,42.82233459103793,46.06795237052143,44.41017849713966,49.40055330514554,46.69530465971446,49.621273137476045,47.44974555334272,46.94207948651391,42.69323421656344,43.8379347701248,39.947458452576264,43.31809583115147,41.92891459055182,45.38186961728824,44.345207825884266,44.420419338475874,43.57107453516976,42.37583503988501,43.082931022108774,39.19045272764531,41.663232599664,39.04955311626151,36.2565247760656,37.776631156881145,34.08253499691334,32.38611896639681,30.675808476813202,27.980717348622044,28.387225161873115,25.361845024156327,27.634778534972952,24.53957346649135,28.731188799989127,30.730533718331547,27.740583549284406,27.21613841773482,22.68956636961714,23.49929553283982,24.85623861147641,24.50548605871398,28.33990344974634,28.76535247650469,31.109042875432753,34.749780176673276,31.8357794796112,36.23705272475772,34.78512543489142,37.79654907999403,31.954380829185457,29.50861217923819,26.02133544176507,23.676873281225003,21.131504108401934,24.12996507250404,21.259065959056436,25.06145237274393,27.24775080392254,27.052399214550878,31.005577541367735,32.390673595815294,29.95407817042921,32.31954933367071,33.48074224753976,33.44597532986206,36.57398557624406,37.95779905902878,42.71767679594415,44.243079690624384,44.037760295419574,43.154241004957505,39.79711271247356,39.88336858393551,38.566504476218086,37.27466333510598,33.534018718795565,35.343302464543775,30.307731901900127,34.46173764939022,31.92774158759613,26.98718614656548,30.12882068100243,28.882654998184282,27.178958151241016,24.677053074393424,27.366684084678003,27.219725751222057,32.3242742538687,35.36160008943866,37.90581114879564,41.005963478976895,40.39011934326025,45.40371417054743,42.424851979955996,43.5509181888002,39.11864230126548,38.427948971837985,39.91049025530739,40.23014769174535,37.052614333458294,38.95192676613141,38.13089700128058,40.32080347962705,35.6271641008733,37.99637517003665,37.15709236507432,36.507340616751435,35.37913796335103,34.187500143005806,35.10195343575965,35.09370549722333,31.52771955937317,34.61318160552982,33.529897927041446,34.93816163231091,38.306661516881654,39.555962608643604,35.7310887600991,35.16535994218616,39.53741912527786,37.90566865276293,32.76399520543914,37.09003809403201,41.784445249114825,37.08915378989371,36.8118081264719,40.81205246306118,40.49503824189243,36.810570975734784,39.29328149943024,36.65092767883146,42.35415053539879,37.2428970958136,38.72959938347939,42.943182604929135,45.39679701114658,49.42880949872361,49.89070240230146,51.216943723323226,49.24742066353637,51.18741928316172,48.77644314697526,50.56308184291088,49.08262669912495,43.703289052514116,45.230135577781425,46.14128491565594,42.181545714287054,40.1702483012337,41.73249699832263,40.11475083784171,36.70136254807775,35.18278625173062,35.82350684196432,39.28386116409272,42.812386438539654,44.52118488460803,47.137249650829574,51.19523643351395,48.41364133728696,44.64911151846896,47.647930981590385,49.85085765517921,45.15907898487797,44.31057189133374,48.23839908053401,47.475401186668414,43.98170942376903,47.94864778692162,49.816227843721656,46.32376959692183,46.0872309495805,49.393166616755245,46.855453835876425,48.68781825835279,46.8227287906127,48.7916310463927,47.93355702244552,42.51760943087958,43.8868601392624,44.59197009922146,41.909921345712256,38.79058566389933,42.93862184174964,41.36372636694689,36.348865468872894,36.71676261489451,40.10659048463421,38.005211269475815,34.38927145803281,31.410502548113154,32.29879881531623,29.622470139937477,33.82554804690495,30.245394473755262,32.09821011162349,31.416428545408337,27.747331999401492,26.94668001462739,26.247693118195617,25.978635072083048,30.306798537889218,28.94365579619655,31.060771249520027,29.05974419862192,33.458343335241054,36.64300036290733,39.96642494658072,40.04207754972719,35.2440580163208,38.01904271702524,39.776751713154205,34.71596425103823,34.064256439205494,38.422123464248344,39.497828476704406,38.885134724686935,40.94175185824993,42.14045497098027],[37.433116873916106,35.026560991015515,32.83531193674674,28.8479141281206,29.72718071587897,32.30255138384995,31.461499825115933,35.62364928978836,34.43652012742747,32.1727910523427,34.7347888126447,38.75071720851941,35.11166550917647,32.172783257345586,36.55646092861743,37.63889135285816,33.382695523201804,35.22955753065208,33.00595835086077,36.07255951925504,36.51963897278842,39.09262031954188,37.82085089738393,34.8381814376862,34.42709349877653,31.832362939015265,32.3183287824845,31.267662496890253,35.12288125666901,37.944973769557826,41.01999632204681,42.785213632995735,46.75393650657344,48.13006053611428,45.234914886017066,41.42756896200911,42.15185414308188,38.506119437430826,36.55641132918619,40.82754196895778,35.36305256039436,37.160560127252836,41.07372829187404,40.03213578749152,39.501951968539025,38.39351119995187,42.26256420536579,43.020693696296874,40.03258658005664,43.98305021493109,47.145401415186605,48.805395965892856,50.098771202763004,46.227158667506494,50.835318835977695,51.69754492088698,47.179679978815116,48.030951015020335,52.324038806845685,50.12802008899695,46.39033308805112,48.92673250247964,48.49671182437475,47.4695152236588,44.6061674369892,42.97443619758963,39.62545889229122,39.31079172553121,35.56701295458787,36.33854061035313,33.98326323996501,35.653903351322896,38.957273096857094,39.946469465557755,41.96307348001673,47.68865373896186,45.91607189369742,50.25328016280464,48.74102710276176,48.51797140828224,48.205495423230616,46.24519266515727,47.154971856967926,45.544967168775884,41.27253036374919,41.89915204517984,42.270018009002676,45.87762191444109,43.74544446641083,48.91965575093948,46.08293920397629,48.83718911356764,46.97732692166145,46.858527256178256,42.85967004752347,44.06709956725929,40.42280678052979,43.98892167184819,42.98436307486902,46.86841336993779,45.35590253311643,45.93855045838621,44.57572047843077,43.900140545324,44.42949149375486,40.95707749298846,43.71369855135353,41.14848784231578,38.721332955435784,40.08390543366769,36.595594991424186,34.330761102818066,32.65240457610683,29.499737884871042,29.3901375410007,26.02898181001804,27.638005576685043,24.067064057461103,27.5451002735665,30.193959544252643,27.36939105096454,27.471681072257866,23.134850725424606,24.619755998564184,26.645212315409648,26.355592318042024,30.87911306265367,30.971276552836677,33.39283704685819,36.609390246273726,34.04971276574628,38.352438551575524,36.41758996480689,39.29152275064052,33.40114699215009,30.977287233499506,28.013074357527096,25.1625888398344,22.25420084883322,24.63764302853051,20.805014347031094,23.887978887232837,26.354369228991203,26.789259719342724,30.605668364109988,32.39686879713816,30.315794475398896,33.142897365655024,34.77115645065287,35.099211546018395,38.61329319190133,40.053068164814434,44.90764795267626,46.623236578750806,45.98434088253888,44.90559182416468,41.311915508635444,41.56718742347687,39.72875744951869,38.74434305479602,34.5857957738498,35.75884971060899,30.614780637997878,34.46445574909907,31.9014610059376,26.997756068864586,30.51106746664982,29.00139985511422,27.980729335007332,25.444794151130832,28.382492495984557,28.05241471565428,32.95040334377844,36.03235531178627,38.49828268277194,41.84390267153604,41.056478268103284,46.03408305055717,42.792135310322905,44.195082166179844,39.60518508474587,39.59159065911157,40.87101362016492,40.9662460679728,37.652023660539186,38.89757470611377,37.738677812806024,39.64821583805796,34.6742045721305,37.47003776073267,36.88254877802009,36.60774101502492,35.93537480628737,35.208135440072134,36.50101600872309,36.91306967539281,33.67873445171382,37.05899651608039,36.45272119086334,37.7861454059984,41.46733193760651,42.67412559198787,38.86443745281448,38.67137454361537,43.09565369739193,41.45744706708787,36.5950268845711,41.01437833825933,45.593916099550604,41.004502456791585,40.95054653086458,44.96891438313658,44.51301029578567,41.017576301980434,43.667758526643176,41.038173887086394,46.73362596084553,41.66829746607696,42.96240822139986,47.183056932491944,49.522609508180636,53.6642573411627,53.94505939782534,55.07239322694049,52.905246802747484,54.627558975341465,52.01433736553115,53.66779669887769,52.43923206202867,47.059966567742094,48.26578108055859,49.16491643070572,45.44073501254516,43.240009854437474,44.44369022184982,43.10151628201594,39.92085264396217,37.86013752109467,38.96155228103387,41.94304588650468,45.56903897829465,47.56515083811432,49.92617786283104,54.17635363437951,51.14555969276385,47.47470680824708,50.8584611586466,52.94345125843198,48.20497473009392,47.69503015380802,51.69108636490981,50.90514298304365,47.59359353163845,51.686644497017106,53.555801507335104,50.11230424931863,50.0669181447502,53.393740848346724,50.853332961630095,52.51811839266502,50.431281041897634,52.41779800835857,51.84782343346167,46.38368454901391,47.516026168128924,48.43886183392988,45.893786199252446,42.52491357125329,46.624414593463996,45.34226113544182,40.33334179474261,40.3460056878569,43.811969974167496,41.99095616497105,38.42211879945933,35.610856072574926,36.556670361809964,34.087431778388556,38.336969014448435,34.75405932032522,36.384138221560214,35.63084111906026,32.178855090486685,31.231336327949744,30.53767203499182,29.961519753442932,34.10555628350223,32.414119072246564,34.12781965214646,31.916819706676034,36.80030407035757,39.66878430395704,43.15256186263693,42.92959349542261,38.334779238217465,41.48504428596866,43.02896925298988,37.739941491651926,37.66972909065962,42.052869429566805,42.88001508002547,42.09535856771973,44.00474653156982,45.0437886616836],[36.893126059993435,34.40795293677897,31.979182843387775,27.841860304386678,28.37064324158998,30.711163000660438,29.510381023004964,33.51705998694851,32.21097938860409,29.66590525446293,32.128740688436054,36.17190324479942,32.37071872739977,29.403451085250815,33.65195981778673,34.705365191790776,30.393554737235707,32.10880498253809,29.80870913458417,32.916532993383974,33.34700436360187,35.9916424227572,34.733940276371335,31.824418731614088,31.382948253376302,28.69783414938185,29.243186433287722,28.203511087854142,32.06840014551455,34.984136426913075,37.94450765138567,39.84036580802974,43.77062136769849,45.04369601509436,42.1798749636286,38.33702743596875,39.18731589258886,35.49170109636413,33.62435444299017,38.02275784852772,32.52017265041454,34.131515435598565,38.095147953138,37.17815970364728,36.732567587029656,35.803677820703335,39.68541520863558,40.27823953148579,37.40813609204669,41.52126407906914,44.5239207299445,46.21959553190737,47.37905673395812,43.462439384087844,47.97867278930794,48.83856844369567,44.285532174201315,45.033537710204385,49.32334258882672,47.19133327168423,43.35211200147113,45.79881431900853,45.32683765795629,44.30559423245518,41.479874070498695,39.825178698342214,36.42264683421577,36.11160552040087,32.363503200624606,33.19554684521658,30.843625773620985,32.56235623516124,35.81472825815817,36.75137000787896,38.77198537591921,44.47949086004049,42.72077287190374,47.06628695216797,45.592626825265334,45.419485180947284,45.18530578551447,43.3320656598261,44.3343212622859,42.84527132883797,38.55572059709253,39.03418061123135,39.263053620884584,42.87747923126825,40.62541119903603,45.788538524679524,42.920996425524166,45.65649403831028,43.84262117297855,43.79182315666713,39.85717115608034,41.11360064811776,37.54917044518191,41.118368366662914,40.24296612100552,44.28541968733202,42.5971622285398,43.40926220449125,41.88539400546005,41.473734907691096,42.08397455374606,38.78948302124265,41.772359879919925,39.37327266482901,37.06929271618216,38.186959954668914,34.76218816186675,32.18813346893465,30.42173536266097,27.104530960731914,26.704516087395234,23.26349050905535,24.653021888986647,21.016946413255823,24.353484075198796,27.064628617604704,24.28282418729111,24.538591682763894,20.286967193923928,22.010072855662244,24.322974036226146,24.172254637224547,29.02089356038609,29.049942141647403,31.61724899787814,34.68539632789017,32.53146229901943,36.854705864271835,34.81650152752384,37.39712852135904,31.565983743127852,28.945292828612068,26.445029554022053,23.151652887070465,19.974885355445387,22.093865532863003,18.05002590501647,21.0663862394008,23.36913841035,23.92066563522088,27.729114000453674,29.491563036235853,27.504637236033737,30.423997992762654,32.24625052972642,32.66620507696317,36.37100438049325,37.78924825868925,42.68352245253446,44.49366992745219,43.62177243305757,42.44958934369716,38.76365221007966,39.13112692755222,37.07865869579562,36.32540880050503,32.1080985630629,33.008889469752,27.972769185168225,31.78824858285495,29.502649635474107,24.769548172737945,28.565642659356513,27.332934090710527,26.525906317962303,23.688560244185048,26.563137199462894,25.882610365674346,30.642780652578907,33.606474917368345,35.92155473015414,39.27567689506629,38.31791187488833,43.334773332261825,40.122377267002676,41.666782647679554,37.18608736859627,37.31603973573468,38.770832871555804,38.96157606543347,35.55377421065121,36.55021710182144,35.157147267800504,37.2477893640834,32.36452858243402,35.3638787253586,35.0173755713271,34.646145601971604,34.27825004510568,33.66009586562102,35.11492745737015,35.80653808433973,32.57668742738474,35.98610533579876,35.538251497229304,36.55763936847414,40.50603321018132,41.468464047222966,37.62000502210051,37.837755134931925,42.23823195765505,40.41973150385872,35.85113223647065,40.42116666337849,44.761134020464105,40.186468433207835,40.414193892692445,44.4363711196089,43.73915778211899,40.47590857959073,43.383741971766646,40.84325464868172,46.546939571859575,41.82335205170265,42.81663883631348,47.02014765700556,49.44844379306689,53.69906056908383,53.92749004833743,54.757812435037344,52.48537924859373,54.066300318223156,51.211494036121955,52.99235661166619,52.02206898573079,46.480795715002856,47.52568011711596,48.7119397849149,45.11701917234604,42.67370195911624,43.81180900489347,42.905063880705335,39.72447602482215,37.22644479577272,38.29362490389568,40.84186781569738,44.56120321405414,46.53681150566611,48.67156418022166,52.9458785778345,49.67919038858154,46.08923919930691,49.69902462303326,51.577389269114704,46.763741476784666,46.53664886706011,50.497698723155516,49.621559650943595,46.49045191150732,50.74228654368706,52.52883460946525,49.086539194845514,49.30337860698116,52.69423558867006,50.23554769321769,51.81640354186122,49.579167133299855,51.73480993163554,51.370031063822374,45.804737025138124,46.908201775485566,48.12484753423153,45.62761915962644,42.119249504729694,46.42424705980632,45.4258169663896,40.29301201641777,40.19888774816511,43.960627921355155,42.36251211175443,38.70855413944492,35.78669545708077,37.17859012638849,34.705019821964356,38.78581640297849,34.94707481392322,36.203549737672205,35.188562057538405,32.08480605247491,31.060218452100827,30.63520188913294,29.751477695708164,33.653851754918605,31.471547518561668,32.99694493343705,30.469657248745605,35.53557514779445,38.15764586946716,41.727538667986714,41.21879349868795,36.77936723772429,40.19125796925161,41.51424172694559,36.07473944718329,36.47859194934463,40.85906247751891,41.46950668209513,40.56478075189021,42.35990979434622,43.288420881955474],[34.372285039671695,31.688902154439443,28.916554109324657,25.176685157823037,25.26606300741499,28.305275104903647,27.29144266247662,31.408341721561165,30.70394021423304,28.456242060579164,31.299640388762594,35.09996970038801,31.19926865277938,28.77059181226965,33.21016028321539,33.952569267080484,29.62321852784685,31.74315037110534,29.860275830384904,32.52102005958452,33.3541405894332,35.75733458620016,34.89768182659044,32.0046637730145,31.061308218599365,28.493704174716928,28.45654300318939,27.31345980780647,31.18689050860601,33.85196610291526,37.54442241746903,38.81425659737334,42.97281369020976,44.46149066403637,41.30678627951261,37.56689323421122,37.8904933986993,34.31360997411624,32.18798436431686,36.33151086897514,31.090986151629608,33.30145994045823,37.200219483475514,35.99937463562549,35.72739092331538,34.49683008737729,38.51546939445291,39.07602704925837,35.779666073629556,39.76870766374576,42.89604493281377,44.351679626845964,45.74281889070593,41.76612914670067,46.47538374704227,47.58075082721354,43.1935165870205,44.0252608798536,48.436398315745656,46.43084155322677,42.8487741497689,45.568013205390486,45.10841797087544,44.52218142092771,41.449560589913105,39.53884267020276,36.68292095177211,36.15903306921697,32.85539432298169,33.587038958930464,31.57658529941144,33.75893889724422,36.599623792120106,37.54731716106812,39.03786070318659,44.827443993951256,42.62723951592295,46.86194094437988,45.05677108856345,44.664428469684076,44.00119453606401,41.831597486261906,42.4911920136358,40.73406287016417,36.51343778705185,37.329533246643095,38.06378778159508,41.61623916407195,39.926502250873995,45.20213229400163,42.67501802364788,45.78410371452419,43.881817084032534,43.5754569447344,39.51160323607158,41.027486964417136,37.33697942305132,40.378159955561124,39.18638463131295,42.890586916655124,41.147200481627834,41.390721050636486,39.9519999721624,39.021059434497374,39.30621401540434,35.828161086075035,38.495235253157105,35.86135421536411,33.547209269904535,35.00712383117799,31.67768724584463,29.367293981650064,28.03698118468185,24.778594338906288,25.151174347680374,21.750298117275268,23.66666537214539,20.19509942647424,24.41524264648547,26.845624435168908,24.19846780682202,24.05871044396725,19.47472506160309,20.607824098575115,22.501854165196253,21.578011700191865,26.19586482196079,25.9448586146469,28.233716427805906,31.3328493420357,28.751236776601655,33.02729040349637,31.06074309088578,33.94062601422381,28.043297124803356,25.68677475869064,22.689009379444514,19.89939022883251,17.169051209170885,19.699568851278084,16.268145282778853,19.763397135573534,22.286713198434853,22.327758498393024,26.156219064096337,27.978069795924487,25.781312835992935,28.60613615673979,30.045236777748563,30.6308514056843,34.008979561682104,35.83128440296117,40.54190862575973,42.65703846404281,42.05068594297105,40.67893843117264,37.06536804306765,36.98925717781954,35.22798257375276,33.85242841958302,29.588744044200997,31.035405592639002,25.742436147576353,29.65237496983966,26.932311729573367,21.96760586579972,25.3528410298925,24.03138374306175,22.81260261458123,20.174431541123482,23.057878225587487,22.803000290779018,27.776361315280067,30.919382615705494,33.51850262522941,36.8723110059695,36.354827972020594,41.20826312375152,37.908463030845255,39.15197690944045,34.50403743728505,34.378324866890836,35.585442954342646,35.71708568133722,32.435405213230204,33.93300214708856,32.994499172911375,35.008243467824585,30.201815073215844,32.75078816732945,32.08433536931839,31.582552998256418,30.80725895913706,29.96411117902466,31.233833223603202,31.70795519532968,28.449330312708334,31.859633115058323,31.408054611933608,32.678006420021944,36.50340770937087,37.709997140642876,33.953358019041396,33.960246589772765,38.413261624493515,36.876910676905474,32.27774802768921,36.71714016161128,41.220579280827046,36.92165329291237,37.06894377897825,41.08661069042186,40.66841569317731,37.51418144668023,40.252089397536274,37.54114453702153,43.14149555324128,38.16144991826211,39.0613644310225,43.26961099719715,45.47939373759322,49.79562766827385,49.85482601873794,50.6743898168751,48.33537160246784,49.88223763380546,47.0965006245053,48.752060910939036,47.73847408514875,42.2792857257282,43.30526637645788,44.36615699571363,40.77763947297162,38.37928383780901,39.4942564201743,38.49722660010228,35.3484038014601,32.902280850901086,34.07218611617043,36.76934241534225,40.44143279092716,42.524935863822854,44.7646326245032,49.095512529839354,45.99124365159154,42.356449611065315,45.91878030677304,47.99599646604126,43.29013075898442,42.93783049831219,47.03649086399168,46.34560906049502,43.14534692595932,47.247111584301784,49.224174257972166,45.98013610143488,45.95954661946912,49.224611933905464,46.624672570219396,48.060448087751816,45.766578442634184,47.75273806898886,47.467481849158524,41.971913055183855,42.876707250323115,44.04778282234285,41.64594119668563,38.03199803385375,42.19685602868886,41.28202573149079,36.20858686044871,35.93839102451027,39.66851911321585,38.19449911194799,34.58560385834055,31.84180790487794,33.234755841949216,31.00379370609629,35.159049935254956,31.49647985827074,32.63917855351641,31.96337165113721,28.89548291920604,27.55504112611918,26.88040160996451,25.827600104774838,29.697726413438396,27.756799581116802,29.153722329071275,26.95878940431175,32.208697314459066,34.89051282132737,38.45804492196426,38.28526281181407,33.81645670197051,37.206157992526485,38.86544938194988,33.57969828438481,33.79755364322727,38.25311763319345,39.22523891686475,38.54512697554582,40.39731035517922,41.38337202873076],[38.542820106884875,35.90225797295178,33.23315538140861,29.7265080967452,29.85901799741837,33.19947744381736,32.303797738132474,36.43320881718201,35.81053837453779,33.52202782496185,36.32370912577969,40.141312725471685,36.11630016432055,33.68735117054258,37.9900287161403,38.68234225229038,34.227038029272336,36.03219025104009,33.678993407129596,36.257279826400975,36.66256203798002,38.765019085006365,37.58141311737698,34.38843723586513,33.888387724859776,31.757348318295044,32.079842821984066,31.401917311342913,35.470297275287216,38.370548719450234,42.00875378517534,43.450303219843356,47.60078195988123,48.8472582120769,45.64758019189014,41.763616895178615,42.21880178030189,38.23776632708481,35.926552609037856,39.61845060681944,34.208570704147284,36.54852966918915,40.204295768822774,38.78170922554243,38.03681439162599,36.53627466210096,40.3668522926989,41.45217971814178,38.244717478549255,41.821624590279875,45.28265522174624,46.90199190441198,48.478937541877265,44.827223270827695,49.644881066801766,50.39473222794121,45.99631211771502,47.22747463684648,51.46826001750651,49.05255647496471,45.707589273815664,48.67007466907762,48.536627554031085,47.55869924492459,44.41077655594368,42.89212724800139,40.09823808720461,40.002249473296885,36.66347356928939,37.76171406978362,35.60486729549561,37.59392567451787,40.57816739937206,41.191467894660725,43.013249061243485,48.58671488677809,46.344898432020216,50.71489917252938,48.84816342808556,48.2175065935903,47.79163446774889,45.3972898230046,46.36763947075835,44.353627443597645,40.080182948053235,41.21799866416278,41.80585272051003,45.66406892732844,43.83533430212568,49.307833157733214,46.79712566070084,49.85062365979496,48.16899161836841,48.076727274536935,44.147885572607855,45.70744232699783,42.12322248155965,45.20476906768994,44.121657001162376,47.894467943890476,45.95994569636729,46.20834060735765,44.55357173631681,43.610433008741595,43.519997381596646,40.17560331839964,42.65244243155658,39.78686652886972,37.663401846149576,39.412759921147455,36.25016861667844,33.983116279650226,32.926098902107825,29.571495813832293,30.021128786917128,26.502548856739597,28.150169462879667,24.405197290240437,28.208860001201646,31.111098837468987,28.616185018595353,28.787171965407257,24.28987266997083,25.59496590408002,27.564444255467865,26.396912160611716,30.984324589827416,30.479829333827574,32.50474665039752,35.37576614433815,32.44805901449702,36.498495730570035,34.27743254024952,37.508496021331425,31.57296696677831,29.669146109014168,26.425403925693455,24.060049376467582,21.595619557615382,23.88879923998006,20.039862157704782,22.84284322005796,25.886370490389275,26.297398769958384,29.92155118593746,32.17304411160412,30.183160100081036,33.24614961955938,34.739066868915955,35.55068118577558,38.88627298808214,40.85778739596727,45.51103342510489,47.714998412744144,47.12161384807211,45.670006296330904,42.020532481990884,41.83833315515713,39.98886885460487,38.43997469102891,33.92405472265848,35.254496370642265,29.735751042943786,33.334359334569676,30.10809645026926,24.995151994212158,28.119535006623913,26.08512581871608,25.16900787090025,23.140392528319886,26.275344762493354,26.496737951956753,31.388631122010782,34.7376744705194,37.513857718311215,41.05003416919795,40.73242444679531,45.39974743731066,41.80939655049586,43.022414978387985,38.06908948973351,38.33462434001357,38.98712966914078,38.725397151095564,35.53802784724579,36.86253130868301,36.06948557640536,37.4681092085521,32.31222579415186,34.831061293033116,33.96667113692511,33.98636410699055,33.10053295769683,32.5156083528256,33.83402673928224,34.209810405794,31.332618595347626,34.915074875965566,34.67291236436511,36.41601519504063,40.023271346361504,41.62323380720648,38.01425382834307,37.66407039390863,42.16295513263635,40.99077301323939,36.229170210438475,40.43350568343182,45.20926970223711,41.08853553631127,40.97563870525172,44.973554686956206,44.87789425132203,41.58102849489425,44.00982203965563,41.142752539715765,46.665468400379225,41.14726288842634,42.31755193383446,46.53338265787568,48.424061930112494,52.67021925671223,52.58991924928371,53.68013417676038,51.31531747010287,52.85821628626092,50.30004544908729,51.57720539278562,50.392133052453204,45.259272341442184,46.21879084809907,46.76484515611983,43.23036619613675,41.07790699649295,41.93252585804769,40.48356515436558,37.60479387664495,35.39750954520435,37.07623979102659,40.012723824051605,43.570885604547115,45.96901161778454,48.3276192540975,52.782681207380804,49.87787280536201,46.22962597725614,49.75751712483233,52.081227461198026,47.51560748086063,47.01137197351953,51.23053127324381,50.710710317868376,47.40691512867214,51.3109848923594,53.45583478962551,50.32623508286994,50.01466316578861,53.14775501360812,50.39508093931949,51.7576442931906,49.49222431529609,51.168581809200134,50.85595699879115,45.53263329993943,46.20147195893702,47.08957973170473,44.783794020293556,41.16305320608736,44.87843386535881,43.8156085814037,39.003724275587274,38.529918142813266,41.810293133130266,40.28881758713124,36.90274899274477,34.56449682981529,35.273605780966356,33.31896296759406,37.780519362612814,34.59522629554848,36.09957670140675,35.86174887302528,32.46869080549118,31.068141285494036,29.913430485653905,29.069264870501254,33.09762330504916,31.739204031567276,33.013390843300655,31.246371526324452,36.59470033388227,39.34875993904843,42.88590353037848,42.95740732971944,38.48319705289739,41.766328868602265,43.63300985644514,38.4568934001986,38.424545466352036,42.88517409442159,44.042276917734746,43.44402105363086,45.334521554256305,46.35071806374722],[40.66858409893155,37.97092059178185,35.076660087959446,31.3982358062281,31.13049513552993,34.205542664102595,32.837445636187866,36.73710723199783,35.9159333426468,33.17246825628784,35.75363336797547,39.63287058080398,35.31775779609671,32.80875000070902,36.77941926676104,37.42392737684489,32.825585662300746,34.17456689194657,31.357979128153602,33.96532684852811,34.00339405609349,36.02463400497926,34.591439137611204,31.30334505306505,31.12822321064755,29.16545921925167,29.88493303266459,29.559848217259024,33.75939853604984,36.974031240202414,40.31023726355583,42.127923995449635,46.175862534914145,47.078177591919854,43.94233700568004,39.90658832846024,40.70252592968468,36.37004396148898,34.094349505314696,37.71978757565617,32.095488923022685,34.15921144320611,37.73338562701066,36.39585663735413,35.44160669251799,34.0871952062684,37.79840222747099,38.97583719308677,36.07410374192214,39.66974351743103,43.079400850821784,44.90458303996025,46.353605769796154,42.84900585982319,47.5674204349222,48.04350358663266,43.55365781500529,44.87589008553422,48.98058484471228,46.372388446359814,42.99127794705671,45.936862355193064,45.957216067048314,44.667396562701576,41.56407947108925,40.3138547820037,37.42766357700338,37.657937521888016,34.26906174663054,35.71400869570136,33.45242185596994,35.32194956700841,38.33677834921241,38.631797682832556,40.733051401922644,46.09636703061555,43.91094868312061,48.38690771759215,46.5866702369282,45.90542666347966,45.817579675299136,43.487660230142225,44.85316074372289,42.90026955126352,38.55241607458607,39.62198898881933,39.82649646898068,43.90132018737905,41.7269649257501,47.28692786488381,44.70357604512726,47.63442812505588,46.18694106506775,46.36962617101795,42.65646754009067,44.280251380913505,40.915146858445326,44.07560847237729,43.29528747908856,47.38112815957234,45.078058925491455,45.750773392196194,43.70930936145687,43.23160862897099,43.08623467629239,40.11615444378562,42.881210128666694,40.16761374274352,38.33484156894392,39.828423597747815,36.83325084238109,34.08685398075372,33.00283387132099,29.337675719793797,29.330992311012245,25.62781040143986,26.72499957005654,22.709742901517448,25.925153635253743,29.247574469610925,26.943383939781533,27.57308432989618,23.322282228821596,25.100146745543487,27.55451881356766,26.5151527583309,31.601526079021482,30.896736337201904,33.03817973827578,35.558322620011865,33.115668638482326,37.09345739108181,34.5485818512554,37.48337873507166,31.60942526156819,29.616364592148248,27.006931257067865,24.11519877043823,21.33797341497999,23.04992418353005,18.545242210949507,20.71846648193378,23.857406659489698,24.744978831752615,28.21209851787859,30.69998979888151,29.014644226116722,32.37702819345842,34.23772909744457,35.3048600227051,38.93952091749174,40.91191532672287,45.61491237555018,47.963357397529634,46.998482804410756,45.3920795506898,41.578450806324014,41.55749101507762,39.29635068432066,38.07007290864808,33.31132159868772,34.084110122598815,28.61268254956699,31.949455700097285,28.88629463850572,23.962269385584833,27.460097692796925,25.45015889694104,25.13759228506275,22.927428587812596,26.126836421242842,26.017192455437026,30.632657389628175,33.90828869011346,36.525897731283166,40.19345286680049,39.679268108922756,44.313370750414876,40.59565566605397,42.05518036978195,37.0991061010741,37.868377484666965,38.50012130277267,38.16097308332966,34.85182086509473,35.59380377882067,34.448382396308276,35.752101397342365,30.486582853380252,33.4043994359587,32.86615351235795,33.07488131339274,32.687489538109645,32.47193657577426,34.11488449411054,34.92093794761276,32.25731783778411,35.986977917856215,36.09717224134761,37.57616280982622,41.49985616423497,42.903218497206915,39.2897694172784,39.39548437476656,43.88408512859136,42.58254493191271,38.15384675054279,42.49349933777337,47.041626339205344,42.971680396535724,43.14207990693563,47.14545859713709,46.816717616736966,43.74554295688678,46.42050869476547,43.63009902622536,49.16028859110098,43.90713409119197,44.80461197486541,49.006060243810005,50.9144210666618,55.2738575844132,55.08312900535252,55.88128378164894,53.360454862507034,54.699596606137305,51.88490768994856,53.17798855127318,52.298069768369764,47.0713589451687,47.759245037073015,48.49287299874872,45.178020379511956,42.77649594055,43.399101858527764,42.397770032350685,39.64922958777401,36.88747341176049,38.75974536496836,41.143465110859786,44.797566933077306,47.31744098526838,49.383326009538386,53.93922450429631,50.755120232634376,47.22295578231933,51.08499740646605,53.20162118258259,48.57512526302188,48.428242120936424,52.641910328637614,52.04709811072299,48.95764491082911,53.02297107999558,55.10327079468027,51.993501142570096,51.95148586146037,55.137820035305936,52.4482781162141,53.68231028854421,51.21964861595085,53.01842424611217,52.97553793705249,47.57102017829833,48.11722047314355,49.30205996569778,47.09134816650501,43.27996758715491,47.10436383799597,46.36392062476117,41.481917452779484,40.790115190765235,44.292092652927046,43.043912372150004,39.62981756844714,37.280155459456275,38.308306712906806,36.40999954377885,40.767604038812316,37.39770539108494,38.58030105498204,38.117509907971765,35.031008660216,33.55661274736981,32.60638412997926,31.45745892809966,35.235276980651626,33.402721212893134,34.365845499088294,32.2938743290822,37.94940569563175,40.380224575443634,44.03636775947173,43.767256913252176,39.51248628298198,43.126284347469145,44.733899602589176,39.36978616567309,39.90703439766554,44.362368666375026,45.24981659418362,44.49018840294264,46.2326283434224,47.099296392827036],[38.31246752016136,35.44795108810106,32.12099646710226,28.558924319373958,27.599061434989167,30.761782723588194,29.08028264824766,32.800628478537,32.22288096240606,29.348618566553448,32.021793746108585,35.74120494285954,31.188134595882275,29.030402286513986,32.91808929752539,33.310590821079806,28.650196660293346,30.095383861623258,27.47949861738845,29.813756866126823,30.128885801512617,32.084962074682295,30.9721907297922,27.79525498302303,27.184573379661483,25.174923558611752,25.545955233274967,25.180014261781896,29.402021799559666,32.563527650999646,36.243777322915236,37.79461347850463,41.93555497527892,42.861561317825206,39.575289247274576,35.5718420878255,36.16607303912691,31.849958098656085,29.494220436019102,33.13010584970357,27.608604390477858,29.86680735003461,33.48587258705971,32.113228931353845,31.41802763541772,30.09513615093268,33.96127645601807,34.86385348158191,31.793234994840077,35.567296340734295,38.845843965398416,40.55035389454191,41.97993978860005,38.340004599294254,43.0846152569163,43.75409879159825,39.31642716718392,40.54188313504949,44.751923485091446,42.336769841723466,38.97380633466989,41.98640515987988,41.93942614002574,40.98471140380897,37.756057389271966,36.26943391983659,33.69567099383854,33.764359167763665,30.691736620646285,32.13093421177025,30.12670122770611,32.37128627856721,35.018471121328275,35.27323812384846,36.99111053948092,42.3904219621159,39.92592571839502,44.32876242025115,42.35463702966313,41.599388229029024,41.30586715798563,38.900863221989624,40.14415004618707,38.16974373793526,33.8339049000744,34.939132679790994,35.3099798326115,39.34866774627858,37.40998564158185,43.02568036169535,40.63493142180146,43.79361989188908,42.33317166388211,42.417282373589025,38.70487357798725,40.551399356379115,37.2159591497364,40.01434566189638,39.187803086818555,43.22603424275464,40.68587921903968,41.27310503600925,39.09172342188871,38.614079418351,38.36368941139863,35.51551524605427,38.36585931174715,35.7286008662716,34.061612528903616,35.44429651038787,32.61732175219385,29.650767073298486,28.76021850812292,24.939612644351175,25.067804570934495,21.30748633369793,22.429387416471773,18.434237494782412,22.07491694145392,25.283393401117774,23.166728242140053,23.737143660218106,19.446632984753624,21.12968649651028,23.65793032035095,22.27806723997695,27.58606792363252,26.603251257428738,28.728762661572333,31.040707165642484,28.881189014884235,32.83376841999928,30.199546363417458,32.92520645398316,27.096926545316393,25.028762880855265,22.767352200068594,19.617928264331596,16.81093759191667,18.339326055191865,13.868557078484361,16.235386874332338,19.392698180801844,20.105083255843702,23.56883200516631,26.09268398197911,24.408672869595765,27.839489930292068,29.696713811493048,31.002366428364155,34.642861098387705,36.83337642700288,41.437921945712034,44.07277613515004,42.99958357690791,41.16449638911153,37.303787819851266,37.13727416416575,34.80060416896992,33.466515384623186,28.6031958538014,29.36790750227324,23.848856824914574,27.1959504616088,24.185565064914783,19.294572524175344,22.952185388516355,21.262243058020413,21.004331418371564,18.493649248351765,21.630854051392166,21.322581984767254,25.88641161462794,29.133832350901766,31.745580427289262,35.42812004040185,34.98661014164026,39.560605401589,35.8247532011288,37.27065047917709,32.3409667199958,33.13804726619936,33.84152336276048,33.59760689045298,30.233227311355577,30.9759343658748,29.8150216376637,31.336195627324035,26.219158921158037,29.13287386279209,28.712530803307423,28.68184521476471,28.447822447917524,28.234560280141462,29.9828098943588,31.03226750142478,28.36616355127074,32.114686235088406,32.428740209202346,33.638163240035155,37.8034312821646,39.02845753044622,35.44700202585899,35.94546530224747,40.39645719784384,39.041679325717084,34.99991416055869,39.406802942761175,43.71654978569194,39.850852877612695,40.3125904231804,44.28378353841268,43.823104817554885,41.11356083069312,43.975972162463286,41.22527827910568,46.66565347296849,41.7345664177159,42.21379888118736,46.36543534887486,48.26394097934897,52.76324245985064,52.4338406876575,52.86023248504181,50.19258502702238,51.34068080013778,48.27495191736237,49.669133858428076,49.0865807813488,43.71590970043497,44.19895809771554,45.238803089305975,42.09513375570555,39.42281339843285,39.961692346386776,39.47731116204339,36.74773257119309,33.47579556582082,35.336280479593135,37.23717280326874,40.96789553044436,43.502383906451094,45.33889183567241,49.93417713219524,46.56234216640594,43.11726898565836,47.211698280212836,49.17625906267122,44.5396284542702,44.66739593827257,48.891928725916095,48.294809628001516,45.4015617571171,49.55054257126012,51.62450630312576,48.64350542920069,48.783229141232944,51.960381948538185,49.309242965527226,50.36017153585932,47.69962887126885,49.609124710700975,49.85360193751446,44.393425279062235,44.8002393120184,46.31605005619577,44.22334918322664,40.21591859783806,44.204573791883846,43.85744796924572,38.8861783844346,37.985927568237116,41.82306010201005,40.913676149601315,37.44093091284793,35.06143120998847,36.63161941624493,34.85794362730729,38.99825513173526,35.44364321738653,36.1075565532975,35.52092268595525,32.90554993766758,31.19637257953943,30.45093822364206,28.85927187558375,32.26285617472225,29.980802675502975,30.608354339124404,28.359658666822654,34.299895982088145,36.43383615956512,40.16707725368323,39.74868992502398,35.7047603544724,39.591998208063195,41.11666404171362,35.71461772308309,36.708256961064365,41.156621804316146,41.99114984009476,41.22886167460118,42.8512263973342,43.61663432755742],[38.55787173299864,35.64422954815597,32.318489444453256,29.252095658892795,28.310491798014418,32.215700699717964,31.022926289614595,34.93859588134772,34.861992741723306,32.43457686545443,35.4000488966025,38.94794995395533,34.49077003546577,32.66755948635187,36.758159097866695,36.994895919075326,32.39049476157757,34.1246516718895,31.75507820836124,33.755052569633065,34.22404586955314,35.86563665970696,34.91510434360601,31.64690819440991,30.88222035802966,29.17216466933004,29.211702596184722,28.87716725657847,33.07617033968594,36.0127917333827,40.20111493412349,41.282165964957954,45.575595058168425,46.66868503906389,43.18021938016544,39.26958970011091,39.43945257089516,35.18882819038932,32.56610269420188,35.71650094889633,30.449185426632305,33.293184193875035,36.700468033908955,34.963914503108825,34.16149496283709,32.37442884237431,36.207766322376656,37.41918085354526,33.996088059356495,37.32593713622277,40.94027495687143,42.475769039027085,44.253795039530274,40.75652167662033,45.714839896016876,46.43800562042479,42.18710071142474,43.681329574156024,47.88727066607456,45.39018174734561,42.40175917501445,45.72138179816037,45.811904208763785,45.02583189988251,41.61402656431905,40.10782538866933,37.953416737510956,37.98743336579136,35.17630115069847,36.554767344948836,34.70231621631758,37.08819985660548,39.60387406744893,39.85554349763441,41.336758492094646,46.73016278749004,43.990338130966336,48.323931506087085,46.101121678250145,45.09728005754162,44.51464770804065,41.7474099962952,42.75030783586492,40.40838734742519,36.16724722189941,37.73753709470747,38.538819185455495,42.576980065283585,41.09446994534273,46.801265224585116,44.66748092498079,48.03940061457738,46.53830789854733,46.45457064613266,42.647167311206665,44.59765336317545,41.14139849201749,43.63506051548733,42.523531852446446,46.20733839957343,43.75816835908698,43.760090274874045,41.73862222779698,40.66161275175843,39.98852047046062,36.90932758498486,39.23555508215418,36.2050097877927,34.50548685465663,36.45390373818764,33.71622038605425,31.26108257993133,30.834287593875864,27.23174211107172,28.137007072194322,24.514607035347282,26.100772851705475,22.30204712730557,26.414392816809148,29.44015992341197,27.376400013948516,27.62275797092333,23.123154433622624,24.261885770785085,26.251740996698754,24.23318492593922,29.000726785966222,27.814645380933037,29.488275933146227,31.852880081464754,28.88019275239955,32.65595107463956,30.078038911094048,33.4328122011908,27.53461232685364,26.05999801354356,22.90705301565372,20.796739741825753,18.745217450586953,20.726687123931637,16.96962008270196,19.44902695988282,22.923941029688326,23.258111690944872,26.60975927916183,29.25855784179502,27.421865251252854,30.70366224682008,32.114875183236755,33.48325284077301,36.69216694597209,39.19305228628166,43.60484795396481,46.36801243799941,45.68346866944502,43.79315881742088,40.07427891207711,39.48914874151477,37.53827751259157,35.53343377653407,30.672319371090747,32.034693504789615,26.261320948406386,29.553966524838593,25.827997122686323,20.639173992267626,23.484480936739143,21.141705236914266,20.453555885924192,18.74145690455995,22.008199780875156,22.58830135220986,27.339110029191932,30.860054986949542,33.84843222475665,37.54084515088866,37.62904904305352,41.959651836406174,38.075968399430906,39.14932472445576,33.93701106503961,34.53637262431973,34.6781959913595,34.14615100181256,31.03744855854798,32.33753124827009,31.818548736012936,32.86381190072103,27.656743323845525,29.9526386872773,28.954648647010327,29.131085781160095,28.219507834262288,27.831198985488047,29.291595784421144,29.867018061172104,27.360318543117877,31.154084449943845,31.431200673073718,33.297372196806094,37.038043246556654,38.80866204381537,35.40430977830771,35.26161992917509,39.77365652644078,38.92554305719625,34.58326247816156,38.660913036638654,43.37280418358682,39.780418338088275,39.8637901762505,43.80684432343845,43.858657526949294,41.003964792306576,43.422587010394935,40.429697540348954,45.7382290441801,40.15904571014196,40.89414070498071,45.05356042905433,46.578611612584,51.01200577740371,50.52996018270679,51.28189643573157,48.63286794019284,49.85822392642051,47.135886724797736,48.166831753370516,47.27626740839165,42.24520649964558,42.807450930122094,43.29219090290657,40.08225587231105,37.74535526468482,38.194437910404275,37.090935572688196,34.518478304130724,31.73234615618808,33.94354325189094,36.41136134414786,39.96975923455338,42.73466822519652,44.881627746684025,49.54037510063503,46.575310865960844,43.03431630147975,46.879739726606736,49.25414108020672,44.828156634923964,44.57092264956494,48.958862539060966,48.635620989766664,45.51593537087289,49.34113931112944,51.67837323520145,48.889516511011905,48.541143694099105,51.51770045190688,48.64439641138754,49.61948876432425,47.0509218698425,48.567226216301115,48.704301255925735,43.45851950101696,43.633793799966234,44.76746688703516,42.75992716515083,38.77898023927244,42.29582612357523,41.746111895858505,37.038957926474495,35.97839914020672,39.364260732817975,38.384764629296605,35.11699428253625,33.15488235360439,34.1059665521001,32.672961712563435,37.09967625241463,34.08056798633799,35.069487840488236,35.106549014742974,32.14957746754012,30.24537365397419,28.916056134010397,27.505400716514362,31.111355404987947,29.65647920483039,30.283063189738865,28.741062799216913,34.65415439099244,37.05360013588371,40.68164431552417,40.834204939130665,36.65424775085555,40.248690213115694,42.25611613785696,37.14463673583777,37.52402125918917,42.01194975549276,43.32749130123936,42.84380744587698,44.61276820589646,45.51887953732465],[41.62158162117717,38.79810156497104,35.692725158628576,32.647192692632274,32.00685735008166,35.93158769633721,34.87671655436644,38.85423473174937,38.68223591700271,36.25742834903298,39.15755768814569,42.788261353249666,38.36113634654706,36.38022669126094,40.44178805906143,40.76073677868549,36.12355264525194,37.67376011259829,35.02205148153069,37.09934350966951,37.26926073758946,38.80548146471069,37.58798441433284,34.162121693073196,33.7689961136147,32.26479898746866,32.60874975444724,32.48459347931537,36.74921140439573,39.81559049622662,43.82166483928332,45.10023752969011,49.34567058022699,50.31309823217796,46.87215419630391,42.88561201759882,43.212536548458566,38.78345288689302,36.13618075292122,39.09070856973155,33.72280750082829,36.501062803641844,39.77347345995652,37.97248323722091,36.85889683479173,34.96534516753356,38.61932875644593,40.1684821713803,36.89069077048524,39.94863175399097,43.73940975219742,45.401473637344935,47.255195017918666,43.97708526314157,48.94404242901861,49.41800661848255,45.15164092146751,46.85406868007775,50.92651424613176,48.17269929145693,45.28858677216741,48.678818555544524,48.94216893214392,47.849538294703386,44.46167564079539,43.22799245126366,40.97878514800451,41.26284441999172,38.31530784854711,39.85447011820074,37.84247650590468,40.01060402630751,42.71881269280257,42.83703253006603,44.60752009859746,49.88445012915507,47.239134421636756,51.65733700570652,49.48195450671751,48.40632269410916,48.02561164301931,45.208192168883045,46.41286955065119,43.988766371077496,39.73368058708185,41.401408077812604,42.045538691005135,46.22571972478127,44.57265473962079,50.33555125836768,48.130791927896844,51.385200962477136,49.99114416878113,50.04544901268436,46.30135768235728,48.186342786087415,44.76835767503336,47.428420900100264,46.3954895662442,50.146698211934535,47.69709037479325,47.7667458241862,45.69661487369114,44.65386488062928,43.88153858846833,40.8449905081156,43.078721920905735,39.95538990600994,38.289368319332894,40.35907241253264,37.63143884014773,35.2545200521791,34.825918337084374,31.239344030884357,32.05582254604836,28.401701242888013,29.838287042476846,25.918944410121753,29.66773211971844,32.930411571303146,30.852042783844023,31.259476770967,26.81308826942227,28.096216478674435,30.129412499738297,28.22156148156553,32.91583936822069,31.76634909239308,33.364302140741444,35.69328585771812,32.54438055612146,36.20192899625582,33.56455540843313,37.08379142836833,31.217156647848455,29.936788581724613,26.657591766459458,24.755853821527378,22.756839810767715,24.661870248058754,20.69561539362723,22.78259974543888,26.40336006017302,26.98565324424496,30.24309294353084,33.03487820935638,31.300544083845196,34.65386137547101,36.118291555634336,37.47769694643856,40.69253736302945,43.148825543426,47.583916466359454,50.27066919184326,49.61010703671085,47.773848680644605,44.04959320502342,43.50135517505348,41.519562931193796,39.532441376039735,34.62498112876397,35.88960781191858,30.091687506483186,33.2260552524661,29.347004562693787,24.185858827096368,26.868753517572927,24.159896160662274,23.657598987891536,22.32225261864448,25.637521259788656,26.40954539202964,31.069981896171328,34.63960718067502,37.66175957018988,41.41173032582067,41.52621772122404,45.79822509365089,41.811969483265905,42.8955919850095,37.58147056058272,38.36000266773818,38.25582610975885,37.523012857239685,34.494737163592525,35.657176480280945,35.1741634785195,35.860581080808174,30.487675942836344,32.78269171632745,31.69062802078909,32.20780390644301,31.245492435845307,31.0059275829159,32.448878729155645,32.905865180770725,30.611120356816127,34.42422277883571,34.7186088425078,36.84408240299748,40.38994061719721,42.36505050073767,39.02227858566604,38.60951119896034,43.12611524657317,42.43646467745037,37.91154160125129,41.858001175580185,46.74151189508014,43.147531748577016,43.02625269282254,46.96136147940496,47.179920074294564,44.14066154002179,46.368923900364564,43.31264808834788,48.60722695086752,42.713278902397256,43.71302248526302,47.875197683316365,49.26096956512585,53.593742443085254,53.10129707754835,54.10277151392156,51.504938927098074,52.7871651070504,50.2641077293345,51.083138162293174,50.01962046954048,45.21607794140114,45.81288910265065,45.95304680856125,42.73593589378429,40.6228038987921,40.97386206462196,39.493340715856014,37.067643568801955,34.597096003528655,37.01294933463071,39.72236905602522,43.17891547888693,46.059011051807296,48.3190928581698,52.99775762331868,50.18724968265337,46.62892945901028,50.369241182118955,52.88496455968533,48.53052579307427,48.12422859861441,52.54103927621595,52.28354977003836,49.063480974329885,52.773693530914635,55.1720833873502,52.384255773261515,51.8614300874611,54.782465208539996,51.84244187441582,52.850708534958464,50.3729591471087,51.71450212762436,51.738627148167915,46.6060044037005,46.73295950615377,47.62220155948461,45.623672443253064,41.734867235323435,44.97476154374938,44.222011249777374,39.69332407034086,38.63001462405434,41.66364029310643,40.54834666829057,37.42901871149103,35.66641507528904,36.11240892307318,34.76216836604593,39.36724937162363,36.62808805265336,37.95259370839796,38.19220632816951,34.946500609892055,33.13182663225648,31.560415208362464,30.42035813146004,34.197528587522164,33.130049455444876,33.83572179083856,32.50494900920088,38.31336631679649,40.83372324221961,44.413530627385754,44.69433483968564,40.44869270493724,43.90230468308742,45.99948169705715,40.935508801115304,41.071623880730854,45.557706448187254,46.94496770875674,46.481541900773806,48.30245144702451,49.25113217047698],[39.084080787813015,36.29414656060161,33.33453825180209,30.523925657932793,30.134438444962484,34.313935666614576,33.66429508471616,37.79839081717513,37.85362101205561,35.84524994487105,38.940278435410455,42.47149757687341,38.30638286791966,36.45373349154656,40.785443175834885,41.11940878452314,36.633040348760716,38.611434611698456,36.428377126431556,38.46681592990066,39.02381237149411,40.66612843460442,39.728650899893985,36.436032108676166,35.679099738267986,33.96809111833127,33.90585052944723,33.42328207455568,37.53686825437991,40.284447419648494,44.586225920982436,45.480730402786044,49.817170348379925,51.11527776527976,47.61349928956697,43.79105356912286,43.77739376801085,39.72116355418034,37.06513990797558,40.11700891506425,34.99558396296486,38.00514697505632,41.37651785945667,39.53088987964532,38.690431470426,36.711726977282964,40.501192037867035,41.86965106396106,38.30058746409481,41.399649673667874,45.172199455110835,46.605571755931905,48.54906439458127,45.09246010761424,50.128344324638675,50.912398126293475,46.74364260396464,48.3023607972908,52.51991506676826,50.01254397273153,47.134922725152855,50.50845419115257,50.58895968593793,49.84685000330752,46.423560899437355,44.88843797963993,42.73586062603146,42.675019096889805,39.801804757621554,41.005035624458,39.121245121464405,41.4373287744978,44.07315651635174,44.49521512142347,45.95727401199625,51.439435052890595,48.72817381871907,53.02585882939076,50.78493510587457,49.77654945137575,49.04578032846577,46.193689244641675,46.98547137250205,44.53433458681938,40.372765415613756,42.06985491169947,43.09182114136512,47.02879387012964,45.728243165667585,51.385864372195044,49.26694015105216,52.652639433777814,51.03046600220818,50.81123164238012,46.873379635845815,48.71822121989318,45.11176380193135,47.64522489704464,46.32830217459461,49.76693964004428,47.645839459190064,47.30706941122733,45.601764509234116,44.12372264790644,43.41232098920643,40.03764474644204,41.99561889010106,38.75481416842404,36.82848708309565,39.11978680833098,36.26890578088694,34.34154045468686,33.96834305472589,30.687087321633015,31.93345734972158,28.47919120282438,30.40534496379694,26.770590011126583,31.058967007430297,33.90313777227873,31.67591630597144,31.663712622274847,27.03657198744985,27.8738122037624,29.45166254333559,27.39354544979968,31.591803278617956,30.600048791933062,32.066309338324096,34.69965495033765,31.132013107378757,34.84219048080399,32.54560144761967,36.30088940886252,30.419159692344316,29.214446945455308,25.383066119631444,23.99846247552272,22.330945782104777,24.73550925386514,21.44522371416517,24.134761218828512,27.583608392073227,27.698092396914696,31.088348436525507,33.6143652831715,31.602620473886688,34.650651152242745,35.759605520182724,36.89493545680921,39.807577866855695,42.28006487079655,46.63166037936851,49.213474132366265,48.888846490969506,47.17356588284976,43.61469141807406,42.9009184380164,41.309747776198755,39.02289451662716,34.376433064994046,36.161964788022644,30.37418583446712,33.75402867599151,29.80194292268231,24.531118752186735,26.853631723313786,24.24442134274052,23.10473154627197,21.90818350444233,25.094925548355736,26.142884659598575,31.023804372694922,34.6202427147344,37.76174479086377,41.3564204466176,41.650537037624346,45.94146880194528,42.112280338420355,42.95786063230104,37.69941447822004,37.96312951334605,37.9231626781222,37.31078806288236,34.40637607908887,36.145613129669,35.982455769672704,36.844088491021466,31.665201218819757,33.56764923555541,32.19609594728544,32.444343636263994,31.01303779714169,30.37663893803707,31.484555196366024,31.527152020165897,29.006630721309513,32.64878150280001,32.608897920297146,34.95319912616343,38.204406058350386,40.3422280341893,37.024030208915654,36.21846391052396,40.725070909806284,40.16414459919602,35.39723042437242,39.1977818439674,44.2544102522057,40.66884234103131,40.31928784435897,44.22897331918127,44.65982751171742,41.483843433566214,43.490217580036884,40.36808047551295,45.61864915238382,39.52060207917803,40.70911804115571,44.868960349893705,46.22675616013806,50.47440972452641,50.06142354068109,51.28492275570707,48.81957928601702,50.273674856650665,47.96672608411101,48.7941722469283,47.47340140927507,42.73907254951007,43.57943948153771,43.588837638053405,40.17260791062667,38.26949480376242,38.852265302507995,36.999318912147025,34.43806991483423,32.463777079868265,34.66900551006457,37.85923517399914,41.223312832809704,43.969406088166494,46.48074498242143,51.052103182997115,48.49237166088874,44.8417843300667,48.27654158640543,50.96385818125515,46.67883947108424,45.96607876245568,50.37835837495079,50.19482419482208,46.808144662751076,50.36402391282572,52.82060184347313,50.045697178165284,49.29015495696448,52.14879340854408,49.15729896953868,50.25562609886655,47.94280749906797,49.18020686389893,48.98649087244569,43.93438839398279,44.15570561841593,44.80389427876317,42.73575109191291,39.0059313930093,42.15801473560183,41.151954537266924,36.68439669489443,35.7973791778316,38.66250766904356,37.334846168176206,34.23720046149006,32.50110956188903,32.71180847154999,31.356745581765278,36.02850869416162,33.46734192431271,35.005979143695555,35.46882820311813,32.02830169956541,30.229581201712246,28.46817312800059,27.550036369942944,31.49392817968762,30.84945213102087,31.797752877240214,30.76339611892687,36.281840991507714,39.05581522785098,42.5146308880102,43.10269868407514,38.70246102133588,41.86322728750053,44.191393232266236,39.3310675278838,38.996268863876864,43.46280603990787,45.0981758580553,44.79426612417438,46.7267041975922,47.79753961957086],[39.71407732968379,37.15048970464503,34.71857610236691,31.707157949383323,32.10205648493179,35.95866037806981,35.59538979174283,39.88302480040446,39.62570319302485,37.77805829828011,40.784496729677954,44.47057149679345,40.61777699270884,38.39875106907019,42.88286307072225,43.50521174313422,39.1225843637351,41.1643974701991,38.99501474648936,41.379333116286446,41.89011727182534,43.79524642678704,42.701727167186824,39.429751890786626,38.85082894544378,36.909412455393905,37.017981281542355,36.33638968177273,40.375740171239805,43.087911624136915,47.071823437916336,48.16548394392203,52.420818128715645,53.83464500870178,50.504200520796864,46.70071885225282,46.841063563602006,42.9492717809057,40.461565482877035,43.81701902877871,38.59998442950639,41.34263761745096,44.85598742508877,43.173439233970335,42.33626643606201,40.49252465186682,44.27308038932518,45.61378705494235,42.15790589598323,45.3692215789225,49.090121342228855,50.57523869325806,52.42799313777919,48.890312937655,53.86509354699999,54.65724582852352,50.39817166757122,51.82678762357413,56.06708894878947,53.58132213156663,50.507261856603314,53.68686071045884,53.64607874478352,52.771847976535156,49.4991801083971,47.970541829970635,45.4336819086786,45.30221557818132,42.102514962317564,43.1279358201167,41.05364644814971,43.108570447969754,46.04648893744483,46.696831242837945,48.376970088359,53.97231559915488,51.565877229609846,55.89057082680146,53.8608070487874,53.068113059647644,52.42352145338594,49.77310031513104,50.533256152606604,48.25464659444249,44.07141405641146,45.538507392165855,46.45257293475158,50.28773943263856,48.79221566051455,54.315162054024896,51.966714910549456,55.15775904044145,53.41595328913401,53.17961933788527,49.153801031675094,50.7422849686396,47.04103922861649,49.94081725509019,48.613452508176124,52.06607661993537,50.31150448915159,50.07291575961152,48.633659853383485,47.179984074565596,46.81104615730248,43.235829509680194,45.22746502580697,42.057206626071284,39.84282750422512,42.0629485112763,38.9413478227145,37.21109379727329,36.46881323382489,33.384165975088834,34.40391690391639,31.031968177382883,33.02490505858491,29.426188024930465,33.54427525809103,36.312826466746586,33.819838124384034,33.73912052581862,29.11288798254466,30.008085619379667,31.510787784908832,29.956278640623268,33.95042317845248,33.40061524761886,35.0442468590921,38.01361277672291,34.396187913623,38.25169978996637,36.20920152880764,39.9420513875405,34.04178843131748,32.61845896676865,28.663579664142617,27.207046872923616,25.337434221138086,27.9519522538151,24.611298610969058,27.48337021800898,30.725600103306416,30.88068162767282,34.43744887327981,36.740763172538514,34.62325417805131,37.52500079565364,38.64604285475055,39.4167909616134,42.35721717550328,44.49723259919544,48.98160575310488,51.177045623530304,50.974968651573136,49.56373205175363,46.07573828532647,45.58790381360529,44.10980885974947,42.05696824765235,37.63783193475264,39.45098659755624,33.79198463778078,37.35979443479491,33.651622805617066,28.393534608427377,30.8479324123211,28.37354291813686,27.087485025428077,25.74936667778153,28.864096141502866,29.749775858819536,34.733277298604875,38.248300564035624,41.28997628261452,44.78930174915475,44.869433071150866,49.35877737679171,45.699951145642984,46.60345901085748,41.47800601612424,41.51415721178883,41.746516576394605,41.275600815923816,38.34560007074534,40.13733988255075,39.84852794790417,40.87895258076356,35.70116754584558,37.71138763557042,36.37781879567409,36.56293176989878,35.09728534246699,34.32879875833155,35.312002540936945,35.16594455385311,32.43640270192483,35.91019923001992,35.49873893713105,37.838631066394086,40.90438097347783,42.99718693167964,39.57946953233052,38.52044795608494,42.995249798307476,42.28998346037427,37.19215565465789,40.99200849313468,46.14144690925822,42.23369155961205,41.66029687882667,45.57816663618337,45.99977543802367,42.47575937373289,44.37637533239228,41.322024939976,46.67170405529146,40.516135316287134,42.099400111442314,46.2740694504601,47.824537330863215,51.88131527774408,51.75270540627234,53.30619580867596,51.075861136317634,52.77880753331825,50.6741705556249,51.609323485896354,50.01345611704334,45.300820978359546,46.445481746354275,46.39207242553699,42.74516946940504,41.06050195166385,41.91824892419235,39.70721676285495,36.97433897385502,35.53733797982291,37.39576955298936,40.993972119401974,44.31001036374457,46.8167830011038,49.522673770863186,53.94122064545388,51.50202315105295,47.77175746032982,50.92004922844903,53.63230050423233,49.29701359163005,48.34013945960905,52.638144193336856,52.35937051109647,48.80905294544418,52.34601773875353,54.69843575418972,51.715752716366595,50.894354253028844,53.81766531831473,50.88702231376976,52.25988975260778,50.20558267746546,51.47980215199545,50.92301026070161,45.88597559319443,46.433314575361564,46.81131505917121,44.546006565733656,41.12714994192635,44.306843491553416,42.86441914541405,38.41613277366124,37.95763974231573,40.6117725870284,38.850370619603936,35.74356577972601,33.82979982080384,33.68541302207972,32.009027959564115,36.72860733251248,34.19855272459932,36.205114367912536,36.58599178614503,32.768833253559826,31.3461357526032,29.615744253834993,29.194864627508732,33.44501356707493,33.02807513226412,34.4335936341466,33.35076748556039,38.422998545724596,41.477826886913896,44.83737879781734,45.45653242177932,40.8444225532196,43.71204834833506,46.009270290234085,41.17441654160768,40.435772245407314,44.86105714348621,46.45777431151388,46.121798683104565,48.15845358255828,49.32642000156663],[36.65995219091777,34.278407506834895,32.287648666417,29.056697628197377,30.16507191233177,33.636104801283466,33.57176767189858,37.98051023842725,37.493439818367015,35.94077073616233,38.9180266581048,42.654595629844685,39.22630962750305,36.779726474972115,41.47881285766036,42.35208014146464,38.19920147689825,40.54153610796684,38.75978691470012,41.41996260813466,42.210761968464745,44.49105846103929,43.52350244616232,40.46203943923241,39.69620055591111,37.31962572332841,37.27428864131146,36.13045792224125,39.94194677714313,42.40162029362207,46.21318426768733,47.26458510267381,51.45659152963024,53.16930020561971,49.999813487556054,46.35099961566622,46.45415576860145,43.01546769049228,40.762055543804756,44.59767371830642,39.465415850693205,41.98869050680076,45.75389713158713,44.30627012306366,43.795848985749586,42.182137725362104,46.10688753848964,47.08604250825289,43.59486329035455,47.145703824824004,50.634575271290714,52.017066138420134,53.70936896758453,49.882365668959814,54.76105545485308,55.83391016586108,51.53526981255387,52.604779992941125,56.98723032756728,54.81303238216754,51.455057874293814,54.34136637729277,53.98007762967656,53.310024266205176,50.19275014703695,48.38498325593575,45.55548044646959,45.05800134574265,41.667091247980544,42.27051315083507,40.17651954419576,42.1486219034284,45.20614039889001,46.28602017190282,47.868826789688704,53.69404821977839,51.53915219203636,55.76425589334589,53.92376605771389,53.44848120478178,52.657718070751955,50.28703743945365,50.753515979364586,48.75029293710309,44.6101688213433,45.72975471943711,46.727036532410565,50.244466861656974,48.765961983786646,54.02713182752138,51.523191389796715,54.61048431776154,52.604938405859926,52.16956217962008,47.97751788333835,49.31751108550734,45.462142088405464,48.57550787177088,47.116184315816064,50.43774880894412,49.175707369851395,48.91249525139917,47.900639223789995,46.37340033152995,46.49829627956616,42.626910751296386,44.67972076666348,41.67930398852243,39.07532253342429,41.121723456982274,37.67807194682367,36.21153499906112,35.06000155314935,32.30101458604546,33.21823298344904,30.076237102069726,32.35097820269369,29.037433198217997,33.30833569411319,35.651490832634,32.87581270532271,32.47742381395799,27.846360286947956,28.55166107802075,29.78801941795949,28.72389229977752,32.37285368272738,32.35288883322302,34.22565830356817,37.64027943492948,34.08726091376068,38.190430871501036,36.56283936767986,40.12836637589381,34.240470108069296,32.43802007680207,28.397724804291183,26.83021402511014,24.817506054096654,27.788089421053918,24.821949074549238,28.238518765883157,31.032939343143603,30.925931067978976,34.70310712274031,36.54583795713466,34.19644332545588,36.75785936423276,37.755122850731134,38.05623049214579,40.93361458156504,42.71411550090279,47.28377169169854,49.077234739015466,49.05546421989867,47.97380620003373,44.63003108322274,44.339595586589176,43.10975948099816,41.26990201278499,37.25511679689507,39.26739336024355,33.86097942654744,37.76350703114032,34.48864284231767,29.293165473125423,31.899312382243476,29.91325996643212,28.224968097211065,26.494226989725323,29.40106426363696,29.99324456080325,35.12478633433359,38.464994951463304,41.352810869836006,44.628631194145484,44.478646873558574,49.206760306015696,45.88957272588262,46.79712996675193,41.96687832884582,41.49821654876377,42.26185514526107,42.14876859230496,39.1686113938566,41.218971581114104,40.82368088805173,42.362047523905986,37.396358607492154,39.43907867467814,38.19185544264559,37.97418816591849,36.45240607424056,35.35682300711841,36.15794317621888,35.848736545129455,32.67572748214782,35.88988692737567,34.98768075430345,37.090659284945154,40.07076284384158,41.92209865683765,38.34853687007456,37.20453970418533,41.62074245783046,40.60419856411185,35.277511929549426,39.18426520752626,44.27921550931428,39.997112569550104,39.339225155432445,43.27097112366461,43.532210572718,39.76808839176351,41.72095830049936,38.80614123880601,44.292498473307674,38.38779861431225,40.17175016465805,44.362149406548056,46.28909282000531,50.22752803186003,50.447645367288615,52.134328959742184,50.13843042488779,52.08327643429961,50.03098605881526,51.30710258825152,49.55359453993968,44.64352537186301,46.127284176903494,46.34391229105255,42.426614032354415,40.78813677406377,42.08336349959345,39.81777040733385,36.72643214993712,35.645808931551045,36.86840583096308,40.746691230020126,44.08114729930896,46.170878593572304,49.01073857631712,53.20434829552188,50.791474022318866,46.989594301788344,49.85939082604924,52.47223670398543,48.03174385230662,46.90083018391281,51.02358134821376,50.577677591359574,46.92331477145757,50.5289357784531,52.69962525531581,49.47813354018354,48.73191628194105,51.77965299172699,48.987892319332175,50.65685793097629,48.832709307583784,50.31707697571235,49.432921463486274,44.30822023940572,45.298914885629245,45.592579279166074,43.08055773670524,39.95148498486331,43.44385194153118,41.688211214685325,37.074371866260336,37.14344546459451,39.91280201441131,37.777440511172955,34.493556275042266,32.144640287930265,32.124467341967254,29.956125722447812,34.54704373836807,31.745458044132405,33.981690875365686,34.073230054655035,30.073206715548032,29.018947712179664,27.564697582139953,27.49370267081772,31.95098501019071,31.482467693340638,33.38711322935949,32.10818300063666,36.661569631084745,39.95677042342761,43.210920661807904,43.78716911644653,38.98772229633948,41.58577524915216,43.78686088753157,38.991289170075,37.93029117102933,42.296041528331834,43.81112307646514,43.444639534659956,45.56825278129551,46.826941664221984],[38.70414646219515,36.46060009021782,34.75498582750069,31.877579739243984,33.224723137086066,36.9148559890032,37.186395377717574,41.65218128646594,41.331011173772886,40.02678733588123,43.0694759354973,46.74009881072656,43.43531830197131,41.06180104039111,45.82644297447298,46.688712713983286,42.57505919287082,44.983889302304576,43.219382536632835,45.81145245801685,46.58199702706838,48.751638662300365,47.76093953584111,44.619930161022886,43.902953456659056,41.65670935420615,41.58583958806548,40.49240800208857,44.307289915165434,46.70335092652097,50.633044532130334,51.55760128980924,55.78345026759971,57.55939577775457,54.34208357413773,50.7187350863155,50.70302175238813,47.27192087571449,44.92764490858646,48.559800187522626,43.49400260474907,46.19595832440534,49.87060822337041,48.279022163026575,47.65286375262815,45.84649100811911,49.71180852847457,50.89251069853909,47.308858655753426,50.61939672667513,54.27914636382399,55.621034323047176,57.470586130643696,53.74347539656372,58.706182560565566,59.749407060728615,55.51186037547582,56.724965401890586,61.08310745641985,58.81541078917548,55.607592547768164,58.615068703316254,58.33349901583718,57.640760372682585,54.46827536708349,52.71523153594054,49.97520437734095,49.51784459589928,46.15333974223973,46.75726271175742,44.66169718086713,46.60265282617409,49.691641503323325,50.765374336986376,52.35411681434738,58.16790515508394,55.964352763672814,60.189070025996315,58.28411257632138,57.718625233999965,56.86308667976684,54.35675747043505,54.757804642062325,52.60471650714761,48.509511750695545,49.81161648016706,50.93625698885202,54.47126519792445,53.1170530616736,58.41265357972569,55.9658705223212,59.08759088401769,57.06998680934225,56.591036850795035,52.36564833786367,53.69084654040957,49.790558015828765,52.85439334731766,51.28810093862674,54.44081729689712,53.29986252317328,52.79559702904766,51.90514106641318,50.11768821433966,50.085964040926335,46.10628549128039,47.86262439816337,44.69558025113427,42.05184500213591,44.36738525009846,40.9637126237379,39.823029300405175,38.83757444144065,36.242228762470454,37.410948508305026,34.343022612078286,36.726189060847524,33.44429280056352,37.76812853858293,40.11466901409402,37.34398626640751,36.87598299951824,32.22429164718215,32.77702617071322,33.79265932165216,32.57085901265965,35.854837973582406,35.82765194285508,37.4654994732614,40.90585093593477,36.971582497896215,40.909533375208184,39.394476778949226,43.24087150935672,37.41558471928135,35.91317858017745,31.52405871645655,30.471876162796704,28.770219122347818,31.832559118019883,29.023857313289074,32.36524322990444,35.30325248660957,35.14614963436211,38.868169543012144,40.77463416687703,38.39397055043312,40.89039506763409,41.71046180227681,41.980108591036426,44.63176660682052,46.46649976511631,50.92748172318876,52.66190618297016,52.87352047999811,51.850158139158985,48.611388016008064,48.17721031969364,47.146657294102184,45.06140139230325,41.10663286366804,43.33242561709565,37.8584196945212,41.704646887326575,38.16468760383409,32.911889879743235,35.15828248510771,32.89253234002078,31.075696030584073,29.775741083668017,32.66217046009823,33.61592772463939,38.750408070350794,42.17480137996858,45.19693942313978,48.45737259349898,48.513805748365,53.135884747468374,49.770689532920244,50.5183385218686,45.59009818398277,45.035509341594086,45.531276536462094,45.271687610019534,42.45268453354243,44.71094119809606,44.5739757731442,45.85348002825384,40.84509040760403,42.63600464010698,41.136123563629255,41.06968162712919,39.24356698071254,38.08324513511306,38.68698243411052,38.05525191965827,35.031734239412295,38.135617594912326,37.12202480315033,39.5987037320235,42.16924384668072,44.33184691893539,40.91511690051463,39.28522703228343,43.62854059939044,42.926120623783014,37.39934954339114,40.96871969720515,46.280534023723845,42.145525811341265,41.140323062754916,44.96904215400877,45.58699510449706,41.64787800991226,43.181189687762576,40.182334810128474,45.493352063729496,39.17510409224279,41.31738180017238,45.4314470866024,47.11738466725316,50.84514375313768,51.07579080050357,53.14637946335731,51.295447421706875,53.37149343201562,51.682542579859835,52.71022994027493,50.643246323426425,46.08883360663099,47.717017517959086,47.486899069943476,43.50690026035688,42.24911124117313,43.5461806322367,40.71801371690311,37.763749514681386,37.29646704897126,38.61441260862594,42.92860331779825,46.06383757468782,48.19865469557358,51.26824120095989,55.40010137972893,53.32369299455264,49.488073097602296,52.05938651813766,54.920144913460966,50.657528049176975,49.21009975129124,53.34130036980429,53.048712908809414,49.23718192121958,52.55932809023439,54.84165838955895,51.71324308847604,50.61241180882106,53.49809019370967,50.612406955797255,52.315564420602186,50.689045759602614,51.88004521272185,50.77857247234932,45.91024247172174,46.845387986198524,46.72942155024914,44.244919334779766,41.343038985624325,44.40235035806115,42.316323083773355,38.04182184845979,38.17962515788653,40.407090393143854,38.0453724318364,35.02793828833174,33.018356899547626,32.26436172329313,30.293463123503425,35.00868324056908,32.77005079015003,35.42520193795669,35.94328148478957,31.65147432596055,30.675773611824795,28.84028199894235,29.160031783235556,33.7188604780701,33.931647534597154,35.92799371671893,35.099190868047714,39.38217127723836,42.859753825533744,45.959646210366685,46.877029117396404,42.016957151129574,44.288965927300545,46.73724112637772,42.20257096792569,40.6591244215683,44.94223661528903,46.71757150883354,46.50691928361278,48.71264689178825,50.066603303133085],[39.616600678966364,37.07898286539186,34.73054391431819,32.23077424361377,32.641880110565054,36.93439077377857,36.95264711588256,41.29428765157088,41.42899620643575,39.950092267689485,43.145281742905155,46.64833141277735,42.91822973259013,40.98828095218835,45.59630418893962,46.09347726056103,41.79773686932711,44.089781025639255,42.188660515476144,44.342641849974214,45.06031511115386,46.81180689924419,45.918329661862586,42.655562829827836,41.85415236303301,40.015985130762544,39.82023891343941,39.07438127085372,43.042843323067174,45.5334736296291,49.8948374995788,50.58751312034431,54.94342030139333,56.53442773053476,53.065986892327444,49.37661746503899,49.17032978720304,45.43459631862878,42.81306622220496,45.90690277275226,40.947781035696,44.05152250290451,47.46518874831687,45.58224299055356,44.796821685548835,42.70474096138127,46.48719850419808,47.904039274472815,44.19104213093946,47.15756920406663,51.01202859067404,52.3110611404319,54.3721018827598,50.873734523662506,55.95912833272129,56.88593048146807,52.78608303254407,54.307403381786074,58.580676671837885,56.14902089572995,53.29803281842448,56.64354697624148,56.62387258596065,55.98076120746724,52.585752584142256,50.942559567543704,48.704992977701416,48.45190017767935,45.46306560890217,46.381782530007854,44.46251988330033,46.68562915647908,49.47028959350039,50.1781926313428,51.59617263249253,57.23294897530232,54.61956344184565,58.85672340525698,56.65036674877559,55.727650857722544,54.80578827963203,51.948847903567,52.44343379924617,49.964507002163366,45.90267357441753,47.6227138041332,48.884146514347705,52.630063024346775,51.51536473584369,57.0519179116724,54.90386458943447,58.27448619114274,56.45538309443809,56.042563713542044,51.930962350896024,53.59640856351532,49.80315767309864,52.426823813422125,50.864516630508085,53.99383814484098,52.36225703979529,51.66032888981098,50.41073556289259,48.501289177177334,47.89439062921509,44.14835327929457,45.716755122110825,42.33333751900047,40.0751253271174,42.65660649638058,39.629359581513896,38.34732076116809,37.92214004228396,35.08362093703436,36.62123973545952,33.41053467616368,35.71293702316631,32.30599858302008,36.78903565000843,39.35331304129123,36.90271360112568,36.56718425481776,31.85292168483667,32.35496924262314,33.44895648571662,31.50926627937974,34.976840679177066,34.34257100381244,35.637136298980394,38.63814867253775,34.524227792805824,38.17506058471522,36.33402839077435,40.40584099804751,34.61780972187509,33.585834996350584,29.13923284272208,28.4414237233676,27.104566637896117,29.944698173837057,27.154583936705905,30.160965519325217,33.47234723513174,33.326397868619885,36.80957603885129,39.09212980520087,36.858814287874836,39.579184218040204,40.35047650914804,41.115609523898684,43.680658388524726,46.00610572294777,50.28549476618399,52.54254872715601,52.660569988153085,51.2326681129511,47.90112649424516,47.1104553457776,45.967845893428,43.464382329643314,39.17626417158875,41.420348412525115,35.710532752569314,39.25478226323151,35.23290152596943,29.94420778356607,31.818884866723817,29.15296218498411,27.502259951027437,26.682982208042844,29.673490873199224,31.05082099857948,36.04909415466185,39.64402099858638,42.87569726240818,46.29406702146259,46.729432308015845,51.035690022632714,47.37038708679687,47.983721706387605,42.787515752242925,42.566457709774284,42.497127012916955,41.913885035208594,39.224685388974336,41.45924436822135,41.60828110390041,42.43789066405714,37.37237241891013,38.902281666408584,37.207275186952074,37.403942569390324,35.46024501957807,34.484749628252096,35.15413387608035,34.57940505092658,31.968016739678454,35.28172095970938,34.74182419089975,37.50555812087071,40.120674296960765,42.576197342682434,39.36198213789032,37.788093405503766,42.1931857543122,41.88849303391172,36.64812303867932,40.07502840415664,45.44985888890775,41.82241242429563,40.936220052414086,44.74699615000546,45.58677309835771,42.00706147648723,43.48739597574968,40.29388151033891,45.42499096071228,38.837083304687596,40.637921058350685,44.737048020533784,45.97442676586624,49.89674193338566,49.680634973309964,51.52294576401554,49.38231581373985,51.17287989426178,49.408922142479575,50.08489489967478,48.2089016618046,43.841812349810375,45.10484113224402,44.6230403073461,40.927697633581225,39.598111227975366,40.462851090147055,37.72298357999204,35.12154372472079,34.27576705769598,36.230725690791935,40.27641882341966,43.37227313357185,45.93614327064111,48.8794673507605,53.23944915848184,51.176625993222515,47.416520276069335,50.26036291433426,53.25686830107178,49.1439489516144,47.864049749445975,52.20794751013333,52.14206092217289,48.450073463160166,51.667414668665764,54.19058356225051,51.392895452736035,50.17958885639212,52.89957251337389,49.836125392819596,51.15674303557599,49.24403532047301,50.193173558485604,49.502899425143866,44.727477992025754,45.13019797535153,45.15004396036321,42.96498475746311,39.692376125927886,42.43315972461574,40.77309488097188,36.64584841297715,36.152062655919224,38.33459916834238,36.46553946361114,33.606539279212306,32.08326009701041,31.34769857477531,29.993412033096096,34.83614514428816,32.861685863369175,35.12004405723771,36.017373977638535,32.023279162862565,30.50556265027417,28.337474388373185,28.159873324618193,32.444104939538796,32.745314342967504,34.17124875990055,33.65663318799564,38.49375390678583,41.70939713194924,44.904024597415784,45.96105390825158,41.319813991977064,43.87464096900713,46.51381384133169,42.0047742797229,40.78719616362609,45.147145598107436,47.11107889306081,47.006216659304876,49.12520558518182,50.39246483356071],[34.16369844096008,31.520886290208896,29.0162805851034,26.486681527747034,26.84419032271673,31.15110265507438,31.249203257889864,35.611611198074655,35.8749897204458,34.618649779037085,37.924487198339214,41.30059154954641,37.74809082852013,35.98559393720414,40.72260525733116,41.19457534623049,37.077781794542695,39.730076971224086,38.35530766589427,40.46374598481921,41.63086977514676,43.58436552916875,43.05221107261605,40.05415683201295,38.78299885830111,36.6162096010098,35.988642800756466,34.829350860831546,38.57559063693476,40.74990868404696,45.30116843303857,45.66700915820284,50.05299481531335,51.923104224911434,48.452989734079146,44.953660602892434,44.487540458780664,41.18820115038396,38.682209763659166,42.087745379283646,37.371688377112044,40.49789392697587,44.09422538643594,42.346434020959016,42.01994479722964,40.09528298075104,44.087863664068635,45.02493959280584,41.128524565382136,44.44506965644088,48.02732627652649,49.114277146656555,51.05719292378162,47.244961481368854,52.27172419029167,53.58730187234894,49.54021854882039,50.71185885308144,55.16039447122954,53.13912443249439,50.1284431910578,53.30039471781275,52.985333267694415,52.78553419663862,49.42138513797252,47.38218244377372,45.21057858472486,44.53906629780071,41.692072746554686,42.2538479634681,40.54606785710368,42.991386157748906,45.56139911760475,46.56986290653925,47.58323469426196,53.40083582881911,50.75193976437024,54.81980233065413,52.61012201977962,51.862200237065665,50.62176082406633,47.90434124170936,48.00951231271581,45.703371244898115,41.72686689296443,43.24452436453383,44.77243156680153,48.1970581443682,47.358719945420006,52.70404644618561,50.62889649177481,54.1068866656305,52.071737031388125,51.40102932703521,47.15987774172393,48.81710232935369,44.92015351004133,47.36354493455023,45.61343814904918,48.53593285460223,47.12325614675937,46.22988329389832,45.25257204714534,43.1713209502646,42.82608422692834,38.86700683101555,40.4676355239137,37.202496315221,34.70813932796696,37.18024850749297,34.00769886469593,32.88015496706151,32.36705966689339,29.739032401692626,31.490307600301477,28.49371045121431,31.15544873951524,28.105511529302564,33.044566494800506,35.112166583425115,32.59689345964,31.88946869346611,27.13005225349704,27.25159357235619,28.02817841736135,26.05790156811728,29.278755872442947,28.8211611345515,30.20901195827486,33.4846438234491,29.43728686249169,33.31569692637931,31.778822057980985,35.68243107516562,29.891115417377932,28.581479032521994,24.0359955298791,23.342200134371584,22.099220208823517,25.27388502166901,23.138797012270327,26.739487998565064,29.66304019149887,29.069998004814583,32.67477106724329,34.574828446658785,32.12087476416217,34.53658739725501,35.08943527943348,35.65554644882198,38.084078281404786,40.366109998658985,44.60890714360653,46.824271883472235,47.053446155877765,45.683444223528994,42.45483446032338,41.62672558053597,40.70863483286508,38.1636816810574,34.15606155285291,36.700182840382,31.167673369073285,34.983606960306226,31.272242460446794,26.04517387495914,27.95439027833449,25.86266977005645,23.71345100395517,22.483120123219088,25.254369753031174,26.444187948639822,31.57798394494245,35.03892279349077,38.19637720082647,41.418988471954734,41.8136339115772,46.21929369802009,42.82189230723934,43.35786443183541,38.40636912582509,37.70759251417655,38.06904142446548,37.83876214422058,35.106521990604556,37.69068781747456,37.85493239867363,39.21773621673298,34.47389266046622,35.906262797426834,34.285442897302985,33.95094731607722,31.93540561718006,30.598734321229067,31.12779401916143,30.5094253058435,27.436321370790292,30.605312700877747,29.776383754509478,32.26012159908447,35.009713114810495,37.21793244641245,33.8689530498168,32.450781379524045,36.88380222879968,36.33162277605283,31.10697486662382,34.73697005329784,39.99696738511798,36.23196435663028,35.504039527361755,39.37603436281012,40.028569670618836,36.540615603670794,38.24599341328242,35.1025308792617,40.35978226968261,34.103732707234535,35.67717209694349,39.84132112030343,41.3777966582159,45.43857045538474,45.33989641093827,46.94740023758892,44.81146939694953,46.64652384908915,44.67703508392459,45.723054192469995,43.957328348003706,39.21524739899995,40.601897930120614,40.603322524236425,36.756751793669,35.1900354970323,36.37594084641497,33.985137670358164,31.01123499707476,30.003601146040367,31.46787095650743,35.48582783339699,38.70224773893289,40.98548854330374,43.90992344052473,48.175841329795716,45.98649663753352,42.18900176640884,45.01814969146954,47.87249281929323,43.64421548436335,42.407598623328234,46.69631577406749,46.52419384814093,42.85893039684307,46.22292205474853,48.654835755224845,45.77749498397209,44.73472132858313,47.56772538163788,44.58572155429817,45.97634653712181,44.03322674387936,45.244964725356205,44.555685750231866,39.57607334812647,40.19258590011857,40.448917682543794,38.13760807922834,34.81917642005401,38.03064772868038,36.47385771460489,31.995434318451405,31.6986567100676,34.38835996520005,32.51925897862444,29.339610266448716,27.373882154489024,27.316079894591127,25.654716669426158,30.366565579619007,27.91406748083959,29.898407135072723,30.543102578476937,26.722427114569594,25.141247635683992,23.2363204653482,22.874409865347413,27.18294742284801,27.152774212116263,28.747192738275807,28.043707825642137,32.782955991249075,36.03307039731738,39.23595804928688,40.231172031877314,35.54531259777198,38.11794141145473,40.71462296046123,36.203449719058725,35.02382522637476,39.40615181841476,41.35103679311878,41.2633827692906,43.38533337957713,44.666602305128],[34.313721287264556,32.021176467655096,30.30076042296475,27.776265468421766,29.148911827534395,33.10828326373595,33.71825692927655,38.2129209083985,38.255277207471906,37.37517584069038,40.61402008764773,44.050350935825456,40.968933138730755,38.926585558327204,43.84675852097437,44.59647839120911,40.682203071806,43.50136704961003,42.28682027738636,44.67677005538018,45.89634159353311,48.09241579126667,47.49176663071832,44.540741264778475,43.34931262309515,40.95639575650674,40.38616974223587,38.97469150211892,42.57299174795228,44.589657650511576,48.90144358981025,49.314379482405926,53.61899937316733,55.70721418644294,52.399257336605146,48.997420317268805,48.563482469487525,45.55422713277888,43.2095476191053,46.870702498093294,42.16019233363087,45.10839912518334,48.83245105288016,47.206247454989914,46.934747635668415,45.08649694003988,49.09162008798556,49.98379511933597,46.11322169949411,49.50222876606105,53.04703401752652,54.11407270442895,56.01205623130886,52.099686757397684,57.081078483169186,58.486049472575324,54.40139111986806,55.428474246338844,59.92305751450677,57.98697864243312,54.82235564940411,57.81994928832012,57.34787560195892,57.13006293811054,53.894670528376025,51.78885077214957,49.31348077659641,48.484722324531276,45.38110226996362,45.669941303807214,43.841153075553024,46.066134188470656,48.877363545927814,50.18905062098564,51.3009285253993,57.25838311204308,54.87934224011827,58.91680435748838,56.88685487302114,56.35363468675064,55.0872613892557,52.546336200694775,52.49435716600639,50.34012104048978,46.40321003773758,47.724099585401866,49.26184080928279,52.50111658317307,51.60475554341313,56.7649849478386,54.51830139246497,57.84063544443191,55.62449951809709,54.842419142661434,50.478384411778784,51.856361307729,47.83019570649312,50.556661994636706,48.698988016017495,51.469365088119815,50.57051971591061,49.61361277533929,49.051502762185564,46.84185052921624,46.843213049268606,42.61672291878028,44.1000691769595,40.90083241166697,38.06491564902201,40.524502371961,37.09484157814654,36.38859516404002,35.55036443302335,33.2996185264623,34.95155838268884,32.16455531648943,34.983637431736874,32.08967772106219,36.94716606538057,38.81195422992675,36.04256166777968,35.14900711565607,30.434093413558404,30.4561411701439,30.960771620792485,29.48895293679546,32.192319886619096,32.25950440659091,33.72046397016918,37.36093891703851,33.1822763858409,37.11183185018386,35.97548367582669,39.887052224080136,34.19063783511552,32.75735535533943,28.034286929361166,27.49057376209537,26.211962791454173,29.608709441199974,27.610965498132764,31.401594837653263,34.11099399318559,33.4601725952918,37.19317935748367,38.811849780688796,36.21784617969813,38.36378616817287,38.79050427830097,38.906606932300335,41.18713254313177,43.10305859209103,47.376941966094854,49.11653501651914,49.63216190549124,48.64166063731799,45.59828307117786,44.93291221560204,44.29759226322501,41.89373497156355,38.25827534635207,40.96283581547514,35.61916915604214,39.61072575067566,36.11048495875367,30.931619250646975,32.81841236510433,30.849888629130195,28.49434347006748,27.25525552801369,29.86866979868381,30.986267574566906,36.17026845776237,39.52260910944179,42.594250633961835,45.64227352114378,45.90445531516362,50.452170240107336,47.28969042084091,47.78812604669885,43.016662768916326,41.95668338374507,42.561649395968956,42.48290178705835,39.81070730195735,42.58063985410973,42.73547150934288,44.24947297807386,39.56031061994184,40.97136043184119,39.305193643397224,38.880117007916205,36.716425850725464,35.18084656069379,35.47333040096225,34.52952800045665,31.280220788243774,34.12176584680101,32.792765341381404,35.328877990729936,37.65395158072955,39.86667842061131,36.509030283656585,34.62843002586636,38.91445496993483,38.30321788041991,32.6924744781668,36.13126402991851,41.50288025199773,37.46003544078302,36.33834619851857,40.13016579888561,40.90557264619713,36.985716452074854,38.379138603878346,35.32057109634801,40.57600183070527,34.196250251461045,36.347206269628316,40.45280712387509,42.15484484825705,45.88331066661058,46.15339023865238,48.256286059794846,46.48529242774415,48.660130438578825,47.06573692199475,48.1933997863588,46.013476080045365,41.43554034418822,43.24606861296946,43.08278874589188,38.96380611466481,37.79537026498858,39.34447493545767,36.41333961238189,33.27815019818163,33.14585026222835,34.12554764042222,38.71720074699938,41.765528257074614,43.705904572452994,46.91586672590444,50.91305751761541,49.01445614126905,45.147744328713834,47.47428045984482,50.4149202939504,46.236909144527004,44.59360725856958,48.69636771876441,48.4712931408969,44.5864404725456,47.78354382217029,50.10911972986801,47.05267010968786,45.80205589606204,48.6269738758437,45.71588854983924,47.44218906139679,45.90671361903051,47.066907609563856,45.860328770360795,41.03486475630363,42.045571043880486,41.843103948366355,39.31396695999337,36.51416298161243,39.61192939196367,37.4283749893969,33.12649917229976,33.4298509522046,35.68377508292463,33.21668328921543,30.134566943770054,28.05006965234437,27.353684264020547,25.33613436851277,30.051784294089966,27.84971235990063,30.523671224723426,31.219534763818743,26.902022373880925,25.851635396921097,23.906428707361773,24.340879336820386,28.939216758626088,29.437365827671677,31.594139716745506,31.025092475174034,35.00011073815219,38.60847487777883,41.57713139844842,42.752571821699426,37.85649776032763,39.89641334350728,42.54588685681467,38.25981403415601,36.39309290359336,40.6325640774377,42.650743694618306,42.61985202784948,44.883097989380545,46.31516852213251],[36.529150005888084,34.12997690570073,32.130634927860044,30.19488980213643,30.9930812826774,35.52751113747794,36.174693330445024,40.58560529446066,41.081222358043895,40.24316920256939,43.623929573755206,46.88257068300958,43.5879971432848,41.919452802218544,46.760260231040725,47.23982659867032,43.233827844817526,46.0158971081429,44.72994516988886,46.76626659533598,47.94926540684331,49.78550038526403,49.253251365809405,46.18088892777266,44.94593395368183,42.912252765504505,42.22568535182477,41.08057253610217,44.77457811215299,46.80101923891662,51.497911721768105,51.6479656265072,56.06235335330205,58.068501696654586,54.5519363523538,51.133805953761936,50.471887968042104,47.2764870692127,44.68410146346593,47.822802324226345,43.267250904584195,46.61289524536648,50.09046865618749,48.171105270146775,47.73504064435414,45.56707381473095,49.47072726613611,50.63886521152916,46.61176537077638,49.59136699213584,53.36697096696695,54.352764424689845,56.50388622822652,52.81951778399029,57.932575732021284,59.256252466959715,55.32765369789676,56.65330714825823,61.07249980689349,58.9823133529028,56.173100678090016,59.481004637603135,59.23527798181695,59.05835283109574,55.63318556220975,53.6260874867308,51.56808560423746,50.896097268355284,48.07644838814637,48.578927108754364,46.87507474064075,49.278684163717095,51.896221771465996,52.95491857467428,53.94088661002236,59.7689081526277,57.06690436541454,61.10232353584287,58.814489321198046,57.972414365069646,56.5976653099877,53.72116526526118,53.66503929778278,51.18224056635104,47.321774275040966,49.05927228084944,50.79547871362874,54.174630375369134,53.551170221877705,58.89147543157638,56.903254602488325,60.42746298573466,58.33876394805927,57.56715113586328,53.2637209653886,54.87406213045338,50.898043497173035,53.26551193143465,51.336740183859455,53.95865279603938,52.795541765877786,51.51622812315832,50.7915207551866,48.30146781853333,47.773781460682606,43.6460992484441,44.75383503603383,41.28594475638722,38.713897574658745,41.562294305669816,38.463403144709424,37.90404707627475,37.602323611486334,35.30624771674108,37.38753625530437,34.56142419602487,37.38601832197911,34.436744023899045,39.4318772198527,41.44139649910523,38.90018854890374,38.05807954358498,33.29975028320273,33.19670455388777,33.61679084798122,31.529218122932175,34.08614850934066,33.697924000232156,34.71660937479697,38.03453235904002,33.45704874988844,37.019502184282004,35.76422770179849,40.03014335314519,34.45270183100768,33.59185613303499,28.601703994949723,28.711171894105135,27.925405176047455,31.205728890115996,29.352456830548782,32.863420391772515,35.89727026825695,35.21132833762115,38.72866430980884,40.63499083102902,38.12768704714162,40.371579176609146,40.63091676578983,41.08102474299893,43.1218731615343,45.43098869076078,49.47126278789533,51.55166001117438,52.164946994610936,50.921006382399476,47.897746988166276,46.86870794009849,46.30379341208417,43.42571423790803,39.621253136224425,42.49223588428821,36.96605217941998,40.69521377859688,36.697909953423036,31.4972105220564,32.832490375205346,30.431044269030114,28.069465819046336,27.499057560148152,30.123090636149637,31.79623346262893,36.85139154185088,40.360574355747254,43.66367203133261,46.791012453074316,47.47689628593272,51.707234361447526,48.317378412557126,48.591929014977914,43.58843365023164,42.68035825121732,42.68910152601981,42.285736039549455,39.849136227317224,42.77558398873141,43.33036098690566,44.36279392027882,39.65339438432655,40.66882470842682,38.67988234513137,38.51548385861418,36.02950196808998,34.551600466371134,34.70961623703518,33.53333551943199,30.709575874476375,33.57787333720344,32.50686688007993,35.53866725314656,37.54965323451207,40.218515408616454,37.1612227394451,34.95208345055289,39.196432886797766,39.145890406263256,33.65252966866579,36.68001383153949,42.2345790472407,38.73640792026556,37.450618574451134,41.11753165390507,42.33980551854502,38.607083023674036,39.62258865556051,36.36696812176285,41.29573292849507,34.41214134494274,36.555539377237245,40.56176450341463,41.70357265109803,45.40329949838981,45.3283362205837,47.55455543149515,45.683322729383285,47.74176518577819,46.388510056979364,47.054547157823144,44.76705682944535,40.631751724504994,42.28350103476214,41.574753559200694,37.62343851569659,36.72143717549504,37.956514641994715,34.632067469885506,31.87983504225117,31.992930592353144,33.505853403620556,38.23197787039748,41.072888206185716,43.35263699885435,46.64143721104404,50.74095041217373,49.128088519728394,45.30658603438775,47.58794581960046,50.814325886995384,46.906592107125554,45.15021048145945,49.402482972455154,49.47164474644781,45.57730204000166,48.4560852512322,51.04498674139467,48.333745179721504,46.727772500805834,49.281715185263145,46.17122443558307,47.617089047176826,46.02355768095722,46.76033025810423,45.702760568783226,41.177198476917084,41.724766925555826,41.29798153383306,39.037981638440684,36.14687998211924,38.62891405440497,36.51633979573102,32.633231967750696,32.494253872523466,34.25366398426885,31.994568126592615,29.279174261488198,27.897868795770805,26.60323433455543,25.301000187866524,30.178515082559397,28.687069077162906,31.33155695066586,32.66434860866517,28.42879885798139,27.00770706365757,24.508837801903862,24.84346365025266,29.239316587867187,30.347019755705603,32.11466275657343,32.141185088992025,36.29359109024112,39.812688308960944,42.715168181470304,44.24981453027352,39.50705274723732,41.50459942530937,44.4683086169474,40.42325167814632,38.47087660781259,42.675030938479175,45.01615400471037,45.17915903569425,47.42150010190756,48.85018855762117],[34.696055757113626,32.092967472579176,29.664219065869084,27.901427535695866,28.152755135261675,32.973213701237086,33.493203566225716,37.818910623106994,38.58027241136036,37.728721469943984,41.20005570760079,44.31474417326555,40.888282529703424,39.508422540875465,44.28649782525496,44.57732910885452,40.574815923479164,43.41916667204598,42.28149565424871,44.082832910996885,45.41264811928291,47.12902235966228,46.790170053267914,43.789449729660674,42.33263473354787,40.36676238703842,39.45386238382658,38.31597473576576,41.96943695127688,43.90854795360682,48.85649257902489,48.77663671216121,53.24561972277233,55.2577610201122,51.636776208407206,48.27424240966813,47.428258016357944,44.273968828237315,41.61275693303059,44.61309731410506,40.22907166834148,43.74889536870117,47.16410980171695,45.17643283237594,44.86098946171564,42.64600949513355,46.584248285493416,47.650088150810795,43.5074665202046,46.46913497586719,50.20370778417964,51.081942227424946,53.26942253831229,49.56969160060916,54.69767839329679,56.12100004686085,52.286214766729245,53.603701071396635,58.040558222103435,56.05082058210735,53.34425903658135,56.72078065723549,56.47666272229769,56.49892531216524,52.99977067466868,50.89283788908427,49.100443486099415,48.36254785409296,45.78894022169004,46.29953422814302,44.76953910814655,47.37580730221022,49.754004569985746,50.75110129382454,51.49687750907553,57.287144063719076,54.39329968241898,58.35385731659251,55.935213036801954,55.0023750044494,53.479244626831886,50.509208357935826,50.34641460239361,47.792331459950184,43.99254637416583,45.83455377594048,47.72965513601943,51.06776723967654,50.66246069498889,56.019981121992416,54.20489848805408,57.87195121093255,55.803387009657726,54.97186706522522,50.69420960958273,52.45871007178511,48.51728113878034,50.597049035029066,48.61529503227504,51.15216107597326,49.825161588048076,48.39752082056029,47.59430960234263,45.00181409948128,44.302729925447274,40.2229556225466,41.26694636720788,37.75037459487172,35.28620495573913,38.20770189270538,35.25005688813686,34.66482640917294,34.61072766599099,32.28496426536484,34.613397588459655,31.82671712214704,34.72420103696762,31.887905537868818,37.08533935052334,38.98630273400814,36.594602615803666,35.683370205912645,30.92985367548306,30.65751977830242,30.993544360373626,28.549717517637642,31.090735990839114,30.45747205334601,31.336459332618347,34.52866556580858,29.907124683535336,33.422285546730514,32.12168418701611,36.41685353315819,30.864977330687424,30.128755348116147,25.089240068439036,25.401246527620714,24.86594129264828,28.13376064132592,26.595417309042364,30.14281786449161,33.15957008101289,32.3025416703731,35.72245266613426,37.63990199133282,35.13521431854725,37.35261394271639,37.50551981378837,38.12558871470743,40.073412628028365,42.60102977987356,46.53145957167277,48.85801676383322,49.44117684551568,48.016762790960904,44.98924568367555,43.78211320084758,43.237867256961714,40.16035647937126,36.315449900433514,39.295484950704214,33.762550798474194,37.432519301388844,33.35761136002881,28.20451671081487,29.353245134316357,27.019607445737094,24.52148679053758,24.033771279657415,26.59083621078821,28.394686960349006,33.40645845300701,36.92624867750608,40.28452692109451,43.400087254160404,44.24270872509028,48.35029076494103,44.93449573919098,45.11970777910235,40.103600307522015,39.17024532268661,39.08810973014688,38.680192377696464,36.287808591517276,39.33582811056443,40.02459277061719,41.070358044563235,36.493770706909885,37.343694161804166,35.30742943238621,35.03573717236595,32.47187306399027,30.929732409087077,31.064820147381315,29.910563104654067,27.086651857819795,30.017356859960426,29.083209222145495,32.1317072101952,34.261928652493694,36.95894239909369,33.93866198869794,31.8669714874004,36.17103909564736,36.19826666177222,30.888910719249058,33.960650926068496,39.4788504359928,36.178272291289176,35.064877763344185,38.75937478821325,39.97395443125059,36.495977399654414,37.63166156615424,34.30803079672922,39.21599571671158,32.38591324727562,34.195418737725866,38.23711676534572,39.30059636762217,43.20331257651471,42.93707684349165,44.88739030494717,42.83699412472263,44.748049109673865,43.214532584195666,43.88519971452456,41.783117114433054,37.52590117960872,39.02110388098581,38.439252326805274,34.566786778912764,33.47114379798825,34.61697326133405,31.5428404754707,28.786322146146052,28.554953589797275,30.203682440370383,34.748559122746684,37.64759303639911,40.03886424676922,43.23398751042225,47.42814131463295,45.72789948403422,41.93027631187129,44.38563537758023,47.597565240399206,43.69826767668066,42.08313953695774,46.42562389992168,46.55051980875191,42.74970405988364,45.67019923797485,48.33299095232807,45.74920593430382,44.20260112835686,46.73938316347445,43.58040385827877,44.84940638142357,43.062622966831,43.820869227775724,43.01168036208657,38.40769636862123,38.76544045884238,38.56729672981096,36.40736666472833,33.25409818376778,35.82919266767394,34.03725411884525,30.021532958898117,29.60068156898597,31.643162730859054,29.685868374772628,26.866859092662565,25.52019857955197,24.638226437598835,23.52648742816628,28.403284858924106,26.775013607367228,29.02513900827976,30.409625566768867,26.45478852954734,24.697727710418704,22.159764512694636,22.084132597807155,26.330094386103706,27.295720912693497,28.81144396293566,28.908146085294145,33.32735995533603,36.69999716418424,39.66706346217047,41.21329999118449,36.58294604397919,38.76365607995758,41.7767033894635,37.72970073737689,36.01679063344407,40.26643748166044,42.66115336677978,42.865088605555485,45.04710010758943,46.424175944614554],[30.396141725421025,27.9857517256615,26.090871252005787,24.291571111491002,25.393546251853778,29.88072725813261,30.889644873255126,35.32171334901459,35.976089584643425,35.606855485248076,39.078808352222744,42.13476909204738,39.254574856716296,37.7678417610938,42.757499221667594,43.26549092640692,39.592812340370564,42.815239936271794,42.199295413760645,44.20937140459108,45.89434491883716,47.974331115731516,47.82787111375063,45.08057683913866,43.376711570854894,40.97597094685584,39.82463120945972,38.17154074304083,41.5053022542957,43.07231449524124,47.90483762316598,47.64584869896873,52.04115645554372,54.427755516021946,50.97160546410643,47.84384892204174,46.86508031941669,44.299906127450285,41.90249702652303,45.38463019105415,41.18489359873462,44.493138452573916,48.14957412480359,46.41131868640717,46.487568969578064,44.52035505411061,48.60410050423706,49.247048739003446,45.05362518494451,48.37241982148125,51.82136143035403,52.54754844506923,54.55878219841297,50.54036464561108,55.540463694902336,57.314153934120796,53.48014485609395,54.38421937235541,58.97189086081323,57.36887212954954,54.38847731520159,57.449139184829356,56.84610897583156,57.163018742879565,53.824859741541665,51.384703767842424,49.36535825165146,48.1950071732794,45.51648858556828,45.53744386322689,44.07134458000779,46.64290824138239,49.04546495793666,50.5054525957418,51.04154180944747,57.05494984402553,54.39090984950144,58.189239908262074,55.94860952564003,55.352329271159334,53.603861546745335,50.93692532483626,50.37311465540867,48.13081137826027,44.43610829325161,45.89863310460259,47.952430438756735,50.876011309334636,50.591601239991974,55.61983371282424,53.703729549507194,57.2918537747308,54.92374625427234,53.819635531274294,49.36575723255944,50.880788853010074,46.77842154562329,48.95963249582489,46.76720818492542,49.029878118135066,48.305052934536725,46.72407450136304,46.47985818776627,43.704103369248394,43.5622094653766,39.11318889903747,40.1388652064128,36.833364871574716,33.87322395070679,36.624221503291984,33.31021543355214,33.185568232956854,32.73879812963969,30.915744900924235,33.269570590761674,30.851563636075532,34.1085356218527,31.69888429130301,37.08734326994692,38.44030305606856,35.81116482905983,34.48283159451032,29.793736490650662,29.156059810616565,29.016911978667412,27.028738314489058,28.91683480194634,28.921235111885604,29.984080579748348,33.71896792452063,29.1520215392796,32.91982215539509,32.22545586721468,36.28280117985017,30.84709973056332,29.706217228097504,24.558525542037362,24.899541510944534,24.359145976509726,28.01604393195104,27.075015226056227,31.1660738875405,33.65878443407215,32.451598662264765,36.048676529993,37.40855523473214,34.644212239304856,36.383850567944336,36.2851799144077,36.34797387976237,38.07991909758681,40.22916042878879,44.16350237681367,46.04034763398442,46.92701330321305,45.875755339664266,43.085680915053686,42.022441436507016,41.87179184004783,38.950881533539274,35.674068973066596,38.95851426009902,33.78848639185768,37.79712400584149,34.2458259190665,29.257348208065114,30.506606824406017,28.819218971692845,25.86232485285559,24.929772879171214,27.137023446153123,28.606551052486285,33.7101203546902,36.977880515139525,40.14499851284685,42.9409267897851,43.5817938423547,47.89701619357129,44.91918075373418,45.05338069818597,40.43808221362369,38.842584413260276,39.385695443242504,39.427233420311154,37.0284613251373,40.41086935947583,41.019242496872224,42.641169769765156,38.377708606750176,39.22214517601499,37.301244795765484,36.53238657307576,33.91065912572108,31.958195912463747,31.825994712715303,30.442236231724046,27.0606507377945,29.549091450642308,27.90948573140063,30.66270978011216,32.58399139581721,34.99780207885671,31.825050836267394,29.540731154157815,33.74378222413616,33.43764091368363,27.79663460613372,30.933610838803876,36.4331246035761,32.71853619819442,31.424997000169324,35.13158811312568,36.246254358210464,32.46625493639007,33.57690993728677,30.367400281675643,35.43970587974878,28.824198524960924,30.928776197864686,35.00528768313973,36.5461342895947,40.30590734111255,40.492668690660246,42.62949919483415,40.8980310581853,43.13861353802347,41.70360949873271,42.822272459313815,40.50085154432951,36.003535559469235,37.97396649785894,37.75882762469632,33.52687690843905,32.52426950995655,34.29063662018113,31.163038567726627,27.90453220972335,28.241064835222506,28.94181188925447,33.89184471724229,36.767235047797826,38.575487538344014,41.96287198863015,45.833830747204836,44.22388797720849,40.34525991071935,42.37951547175385,45.497754507045336,41.51273730975579,39.618668985126284,43.741852498760885,43.69834404120939,39.74164470062648,42.69033044784129,45.16055556165301,42.32294310715595,40.78897487692225,43.45190719580731,40.43890018577055,42.07993475676823,40.608512114584144,41.60743876663202,40.35345018165895,35.65585928897874,36.592897413668226,36.249446600977,33.756482139139436,31.01618870780293,33.998138314722986,31.757317461140904,27.51343737868311,27.863237718492247,30.057030359382626,27.55315516484107,24.465241294421556,22.49308045281326,21.7609124791937,19.931833262999877,24.717188387069815,22.775619994833878,25.393361088277693,26.551463451695614,22.295579189300742,20.95201885749721,18.644328842699554,19.144566192293997,23.708556851822784,24.77833977808221,26.9762293375084,26.953866733328425,30.596149622739926,34.30189239165787,37.08357630675956,38.68388682072149,33.83638359514036,35.592084720142,38.58312958145659,34.70504539454569,32.46422196471147,36.61919274893642,39.035915932255314,39.287624524628825,41.585758547404616,43.09538280174956],[34.76060039614376,32.619851613731846,31.167684506916753,29.698622446738934,31.057881353579788,35.56150608374647,36.784045419934515,41.21290313046734,41.88510481849112,41.5994067683683,45.0452951325398,48.12172518097722,45.288742789109754,43.73240228194348,48.730570868269034,49.27433805172436,45.55242717481373,48.67743607710073,47.84425605364755,49.87669050395519,51.36868306987248,53.32960098597364,53.0110163530866,50.08889306139047,48.60742177335923,46.38740001294809,45.41290719569431,43.94528288611232,47.38786412006584,49.04955049318484,53.860460260660645,53.665273986191366,58.06543430705623,60.40295438945446,56.923960553346745,53.734132426606855,52.7898653128449,50.05964820021285,47.5590530300699,50.80031087193015,46.530220928338444,49.94237874943107,53.48943454042744,51.60309942308163,51.41701730111561,49.24988701443784,53.22266286203811,54.19668418585192,50.00338444887295,53.019432256502725,56.700318088536996,57.4748673765805,59.64803419374022,55.81740661849676,60.907538062037766,62.51725238967714,58.698363004303715,59.835662807478684,64.35098886318278,62.52498296396204,59.69210388656924,62.90392818783686,62.45777252527433,62.582210408954445,59.191128495073556,56.931900006986865,54.90371067007285,53.91504724644357,51.14760636911831,51.298418959911864,49.7131744150951,52.15915192997118,54.71765191496617,56.08618388390652,56.81235275247748,62.783166991037874,60.115349708473936,63.99182000812303,61.71696956298226,61.00262287437047,59.33028078219404,56.51939906899164,56.052337746206334,53.64324052192935,49.9487689219934,51.61064169738342,53.64393257703889,56.7036640713578,56.38372931335,61.51058037790166,59.58382221640083,63.147032726228964,60.83458439847872,59.795036840588466,55.353197119497906,56.835357754646616,52.72855992371353,54.98766819216935,52.79484463747753,55.0072939736549,54.326004197931226,52.65063683782088,52.41463650981575,49.521834760422124,49.17391363103297,44.74561952060351,45.50352474828325,42.052225141111904,39.18198544336329,42.15806452046146,38.965284604912384,39.031396331604476,38.711426120917615,36.922650081492925,39.2956902383113,36.81735861318118,39.982136232149934,37.39951106627218,42.641798069105,44.22397367518472,41.57894761036517,40.37032832338619,35.66152412274193,35.145053965951334,35.042423849228115,33.04330618290725,34.79062222662232,34.74149544390521,35.589776402327445,39.19131074761051,34.35633401865068,37.82868333585272,37.12566704270389,41.43968644348909,36.109451333104296,35.31058114657791,30.028864590625663,30.67467203727502,30.228204429297634,33.7859422827615,32.57058207475456,36.40531027774287,39.166806960319455,38.13583290664745,41.68016776682064,43.239331699565476,40.54032726025499,42.36952484607683,42.25491501296747,42.35201472921056,43.97228798043545,46.130263950813635,49.97574800445568,51.76939427550518,52.8052713744041,51.81399662195516,49.08299138619986,47.95472532033257,47.86793982882652,44.82022431929848,41.49692423909171,44.788785286194944,39.50223846928512,43.370917916295284,39.518778350782405,34.45805613617761,35.464135050270826,33.340441128549465,30.522852609994302,30.06702314946148,32.35609963941308,34.13267400446781,39.16811557683179,42.538910367088185,45.819179920706354,48.66976985037859,49.463286909198516,53.66227910307634,50.560265513093235,50.60481258129873,45.838836387640214,44.36925676657179,44.534375695260074,44.32135002104097,42.08284901157369,45.47508533575251,46.26111693289193,47.489258843679046,43.062601762991555,43.76356934429763,41.6201679462685,41.17639688292968,38.35401569600868,36.50632384679134,36.26060205714589,34.6170026779405,31.621109688910867,34.0090325809135,32.40767285647679,35.5619061065114,36.98089976195602,39.74583482275236,36.83583297312364,34.06521024249323,38.074034589638096,38.17711531953514,32.463632256073716,35.081556869998906,40.72673683291513,37.273840948739284,35.57940783350632,39.06169427830956,40.59509622068067,36.65755824520414,37.20047795824711,33.968269674000474,38.67826566234103,31.611399304132423,34.19417586732024,38.060331478586185,39.189599892617345,42.5722927976513,42.74776417938365,45.41122761677078,43.88531886895205,46.2442985680433,45.319558575267926,46.02505940766753,43.32486411611705,39.4413778247728,41.508598884024295,40.622577980783454,36.43472538388997,35.98274286842146,37.61075016819942,33.76324291958743,30.871823029428285,31.969479023633966,32.929584605421425,38.24208842216599,40.8149175959506,42.729486544715336,46.31808968197915,50.0984257898359,48.9032863486695,45.05430673166009,46.74655202439269,50.125321847220796,46.40986397558934,44.201696280748855,48.280484465310636,48.423528367092246,44.35049281723953,46.904786906296955,49.4798360918604,46.79305667859148,44.84921612447848,47.25874694125638,44.16763374246879,45.81198499759645,44.606673381940375,45.17811786346158,43.67767211272518,39.43040568495128,40.22862766474975,39.32465723767683,36.950069076175666,34.57243494783008,36.8105856221176,34.156727881833085,30.570428779051657,30.93998615417265,32.21438001737461,29.45622925979333,26.926917259242458,25.624685319428007,23.68102916140229,22.307554955182184,27.112882414073088,26.134396212103884,29.266160273018446,30.92622855604077,26.438469369028454,25.306741488162917,22.61190003007483,23.61446938159532,28.06389538108281,29.898878913211988,32.060505392357925,32.49066789316941,35.83477635635943,39.628350266196804,42.211312256783195,44.116745226491375,39.296935266913884,40.70125577752987,43.875240698873775,40.28103045116335,37.623317054584284,41.6080103515995,44.21829187472241,44.59158636357962,46.94132008245519,48.52014277111394],[35.46328551915494,33.05987031295327,30.993658805663568,30.100532585553037,30.510951615501074,35.629313960538525,36.713819527475586,40.96760129042964,42.170581610981884,41.85302618666402,45.44560260680521,48.27724191171673,45.15570552480039,44.098969613160286,48.94777480773285,49.13475280631794,45.3468606512714,48.44434873480598,47.641670587548695,49.21959948513903,50.76647501866335,52.34500572980703,52.21579234306938,49.270312058183485,47.61217329731962,45.73865434906351,44.532278960377525,43.30105771055618,46.77367896884735,48.390182092992,53.64976404076793,53.104569220708825,57.6110328267672,59.85291675704827,56.1448457323458,52.98707798100631,51.75068070430132,48.89895348495427,46.172003123103565,48.867268730867096,44.87692871274612,48.692843616834374,51.97170543369757,49.81897096751229,49.59058529678088,47.157971134929994,51.039417367094806,52.1495608241121,47.78682494525679,50.43784386121887,54.244115046578564,54.869777871592376,57.25806972344358,53.62935563155,58.80097959396117,60.40182811695136,56.798424569690226,58.16392032107973,62.60339511054914,60.73139451865944,58.27380359705976,61.7661699434116,61.51020261321674,61.800455314440654,58.222747126138295,55.98969044693365,54.49074968069373,53.59679357466087,51.238008994596115,51.58134671186875,50.21645772737396,52.93539831711913,55.16549022003209,56.267976828892145,56.73250635098197,62.54220964358191,59.48695120035316,63.29800742505556,60.73108202779767,59.70252144337578,57.856489635819024,54.72333294752975,54.195007998513965,51.481295427633455,47.91960743670088,49.97954822990272,52.25871935197173,55.394297698128604,55.43744614783851,60.70513877238454,59.116332323468754,62.92794078898775,60.75534232760747,59.70350137674626,55.3581248597059,57.14301431865189,53.1290843775531,54.89144497051539,52.63750822871447,54.69410311967469,53.63923139287785,51.63424798136503,51.17374243123821,48.0250360948499,47.10792090852596,42.85171310858692,43.25991214386553,39.577620616421044,37.058856531089205,40.37745739128367,37.60699346990798,37.73218946962289,38.028523688335305,36.16790773636091,39.001852036072435,36.52361781871325,39.68821283626646,37.14902410363906,42.57449275825082,44.201748635235006,41.86008683579411,40.67830894555765,35.97630041324455,35.288766765875,35.10951607942757,32.40606472474999,34.059737495076504,33.44387808260154,33.822196858302064,36.99898371434052,31.873685079879884,34.94554744333915,34.10786152055955,38.68649053328713,33.54648233735017,33.32314718214218,27.89872898294588,29.191587312481172,29.296910583906058,32.67746329846262,31.788304948866745,35.369086961251675,38.331751381685486,37.17974442465052,40.44465832451041,42.2315426386369,39.64013863659428,41.531070299040245,41.23212198168615,41.742819603629385,43.121598963424105,45.75537690018384,49.32036974908026,51.59729916429297,52.64126879347836,51.28940760020863,48.562631797537925,47.02576949749909,46.9751324561043,43.436444302767946,39.956732538869,43.40423989050644,38.0214662958816,41.58828684844791,37.3343251813816,32.3781316915919,32.78836441865334,30.412612184403635,27.544375647102253,27.711379485987006,29.899731284344746,32.17986230722953,36.99515976561856,40.4582438839207,43.929688370114526,46.821066374133686,48.059635205324824,51.882604999771004,48.586956484592015,48.39272200411577,43.46518962360954,42.13516573621577,41.73266815182354,41.24491336264696,39.26004805826951,42.82471315774838,44.0194252914942,44.85805259604011,40.567456991510866,40.817466450764854,38.40245595991518,38.09569058378938,34.983185024541676,33.15951739062344,32.77865124252242,30.965123322710767,28.397077245244756,30.815926412379785,29.583322183454797,33.14223805197177,34.38735537991941,37.544367967505764,34.94608574403022,32.06523041932883,36.058355201828675,36.70174112221184,31.322825503678665,33.61894903239901,39.334617470282666,36.53969766213341,34.90599230995716,38.29048085955749,40.153413927343735,36.644716311640394,37.018204958061865,33.58750028756301,37.97385875348381,30.58679391296888,32.80504533303633,36.592819528226045,37.13492156692047,40.686850367664675,40.35056055970216,42.83968959635307,41.0519356216917,43.15197875800576,42.271364501975285,42.558624936154175,39.94745002773223,36.37341271571178,38.13477961083547,36.86323156683225,32.925323054674884,32.55149921951308,33.796900865172425,29.812264114967288,27.306900856429937,28.34353512494656,29.9012715940793,35.11939616499816,37.53775544619514,39.847668202329864,43.39083159613102,47.33364303218942,46.29722189808443,42.53481563370541,44.35401485882067,47.93862067217705,44.47164158519648,42.329393291393984,46.598585628226566,47.031536030372315,43.06950756037479,45.39792951424644,48.247684997762704,45.973978977667564,43.82263523536454,45.983674773496666,42.69319358216365,43.914141048154754,42.47094791192654,42.69274057797186,41.57801206179505,37.537485992797244,37.73577578891116,36.85900889228787,34.84042973768106,32.140261845855406,33.883329640027775,31.6221112382841,28.324859023011914,28.00320962313109,29.054035077116982,26.807080140829267,24.55574495530766,23.981794595814062,21.88984550054779,21.433136737055715,26.309851611180438,25.824929686899697,28.492120547735393,30.689496324302002,26.605937197110478,24.871946715384627,21.734064124525403,22.24138995309644,26.28892711829827,28.473868389820133,30.046650462253922,31.008981842660255,34.712746748569856,38.252446523898,40.82979221277647,42.99838979050112,38.44475715617922,39.999233056170006,43.42446397930054,40.0097305453493,37.570863523802956,41.54913799354827,44.41425854629593,44.95322722507038,47.214618623491155,48.73141394459052],[30.391879215329027,27.8286892405412,25.511814451003676,24.68556404153657,24.945162841948036,30.131598306947538,31.284427617624797,35.50222170315456,36.85402817669282,36.73549791220135,40.38293587244839,43.05741130744203,40.1008061503098,39.23743735303653,44.10911395277631,44.25249637776009,40.66235013078717,44.004977235605985,43.63638822742259,45.14301302986501,47.02542874414846,48.745961011889584,48.89994205987948,46.20075013275135,44.20188849867506,42.098075052727495,40.564371608927274,39.025425692904804,42.25765687367837,43.59004943997067,48.95608692901718,48.14462586450203,52.63886269543626,55.07826963031197,51.39901554199367,48.42502774440878,46.98907138416163,44.525652954760645,41.929271154533794,44.86365018188861,41.114326922384045,44.885871558169235,48.279966123356765,46.2756376561579,46.426850787459436,44.180279737677296,48.198804170034954,48.88945709995918,44.43779858630746,47.38809232690103,50.91949873629438,51.38362382149402,53.63101010033366,49.754178439893316,54.8281409132467,56.73302178174413,53.18312306918396,54.23869124059319,58.78789173629442,57.266301045502146,54.67466586205663,57.98431159318641,57.49017049693562,58.12397509200045,54.608703372832736,52.08330963075125,50.65069142919406,49.439789258193024,47.23590451025485,47.30366681630162,46.13627122000923,49.00296660017657,51.01938155646335,52.32988078377365,52.46560970185143,58.35548389184764,55.29925576290052,58.94430822424851,56.400435474168525,55.52914695612391,53.450617136118495,50.4711246620727,49.63538418759171,47.10080589546177,43.63420917459016,45.4919460755941,47.95881228279585,50.803485245777324,51.06216927477828,56.12978303535346,54.61231654445485,58.477330916552916,56.159466620528896,54.91710547049433,50.515074591699936,52.29153119822748,48.24368682373656,49.819167609484055,47.434376965986004,49.31167417919913,48.419424448635276,46.273574170921044,46.03123637263614,42.76512574982043,42.08637536189079,37.66352304827779,38.11804694402573,34.55399621236323,31.812606639590506,35.02818864317433,32.140092184627136,32.421412032376956,32.678793661363414,31.048359488794798,34.071053287731836,31.844913228214498,35.24597420810612,33.07541212796468,38.742125120894634,39.94155381521398,37.61514497300793,36.15452474913992,31.539402382074016,30.511832819885495,30.019229004254726,27.265795406222324,28.59392652853589,28.114221205044895,28.53554164909736,31.952719938877262,26.89486090849224,30.19488425472904,29.65279347550599,34.04189647259881,28.92894265657247,28.468799120659725,22.979878227433765,24.385630913303366,24.68434705177542,28.254961216034456,28.007517340193218,31.937921759028292,34.51438838543445,33.01261446311349,36.29613329880269,37.73370597880193,35.004564410000555,36.59687593111054,36.09638030144867,36.446329460715866,37.677852433047626,40.2840688180996,43.79453978763582,46.060123421387985,47.17034240300772,45.849830878814245,43.220721008328084,41.64945845212752,41.78687365848201,38.22964957451885,35.030797046474284,38.703811486458996,33.55885830241434,37.295282005856706,33.37859395259852,28.58475360561973,28.99984746202224,27.194200880987278,23.920393672188144,23.737172240564643,25.64691089120502,27.744701169101965,32.59000270936942,35.88847444660266,39.2557991853377,41.95314536723266,43.14126600090711,47.02427732813222,43.98265965515694,43.73805573114614,39.067398065942385,37.32659733607779,37.335658304473974,37.186770763021904,35.158534616860905,38.97685175619316,40.143903405486455,41.4495322921867,37.47625002699422,37.68311539438209,35.40019330234856,34.61763061807242,31.50816875651132,29.36645306542798,28.868191054419434,27.0420809936007,23.974907931732066,26.256275790394014,24.709168888753762,28.006436837293055,29.43864264982998,32.354109970286494,29.58973799483416,26.861359150260537,30.96028634351901,31.34155725659217,25.93797493667005,28.506700720072867,34.16594639073423,31.209510361580303,29.764967401884753,33.27689847459287,34.931021494321314,31.529975857225438,32.197617300407856,28.76467174617809,33.378596881693404,26.28043606659904,28.203286244875358,32.156033942497864,33.07633389624156,36.90300099848976,36.672097116910884,38.83034226277769,36.97462932173623,39.10399484189606,37.90278785885108,38.62964915738251,36.19530127571688,32.08172184602866,33.957736729372854,33.288313683726265,29.148818112249785,28.418084390144138,30.020934278948175,26.499892854549902,23.487240862168193,24.2469707097694,25.28457369826194,30.490340124739475,33.09329769407529,35.14333848721604,38.65481668044258,42.55781809064984,41.31893767299153,37.49949123778126,39.381854730343356,42.81320449428741,39.18159128936484,37.119624705105,41.38162134652806,41.69523131012521,37.75788804446517,40.30148296678648,43.075539471939756,40.70057543337575,38.758842215168215,41.084751213299754,37.85128027917703,39.13782859199703,37.59163936111157,38.14499115955794,37.08198334490568,32.70909941945151,33.12857748604394,32.58901230818275,30.397684329786994,27.526350841117065,29.916811070932095,27.822032143880968,23.955163450962342,23.81604903746926,25.62531196605361,23.39626480198505,20.609401480963374,19.428213788830565,18.253032209636686,17.38327560449803,22.267576473525228,21.14142188866283,23.481120679546084,25.461577512013502,21.550280884170874,19.624616118098714,16.630122684377625,16.891737839846005,21.06768396551758,22.97090232497177,24.7093509383567,25.54018831690936,29.171681284135754,32.743468550419514,35.357479403287286,37.45673332694139,32.86808313650586,34.47993084268952,37.8722752559131,34.44522130496277,32.08118036184253,36.10570345760053,38.953336725836664,39.50007612535633,41.74403082893425,43.2523138111738],[29.076307822920572,26.920513244092117,25.53812536399719,24.66632189836197,26.095614945860664,30.732817071573216,32.40362295975309,36.7270003475751,37.80068331565411,38.08053198186282,41.639311974310075,44.35899958003231,41.93110592203384,40.77595644683512,45.82942875782884,46.27095759251562,42.92094180027584,46.462725716389215,46.31947284902365,48.14272649233888,50.135138125931064,52.17569736189868,52.29695980908252,49.68725631606672,47.71091435685504,45.28767383224217,43.78575976542073,41.92029011434667,44.97209181121516,46.116253085064564,51.20046794537659,50.433909170749814,54.82260394477016,57.52084826653458,54.04034402681649,51.19156700802626,49.803900479581,47.706090478803326,45.33278179992737,48.667012778501636,44.89935879502728,48.41058488394515,52.002370028132944,50.196692299161036,50.485899707302224,48.4113630309678,52.49592437264085,53.02254123558308,48.61999311179629,51.79040831231789,55.19236732577172,55.64026451269331,57.76006346319852,53.70098707949527,58.68654814050924,60.737585702066134,57.11999149415752,57.92751993930013,62.558281503024936,61.20184249449315,58.36369496249117,61.427229697565075,60.70196834713954,61.37455943861358,58.01446005368329,55.353837559109834,53.571700831664074,52.132061939783334,49.668979333585696,49.40456471438514,48.14557513199101,50.82648897719947,53.04502258664355,54.713960342360934,54.895366712204904,60.96058616454546,58.2045972772852,61.7954487960342,59.469141338771685,58.885228692799856,56.768693317186745,54.05552142573101,53.03270395022355,50.75617889581044,47.32192095975739,48.858872632293256,51.30915978924251,53.90711951787477,54.08663269373855,58.914531627751245,57.201774657964904,60.901090564614236,58.361692016677964,56.9718993627814,52.433300408519955,53.906812754599244,49.72476793607908,51.58391244512433,49.084548607332586,50.79232820410594,50.48879247420351,48.32613181934268,48.56348379872814,45.235206751477385,45.070122625767404,40.37403210143781,40.818324028793604,37.462226001774575,34.30978897044101,37.33900061321196,34.12061887667936,34.79536159396304,34.58860557519233,33.365825303246325,36.19765467582999,34.201096601783675,37.76544054341931,35.77526586021621,41.39646679180889,42.33319952459421,39.73770146331725,38.05786102455652,33.49983424666996,32.36845356977706,31.608106924373374,29.481533416567775,30.308104979328967,30.493877814060497,31.127705407455153,34.977857447246414,30.030733175089196,33.465153601048286,33.38670279006494,37.57078585218271,32.57433607683692,31.775294445816364,26.320785685890165,27.56166354526304,27.640344511456437,31.436631356873434,31.26617097109666,35.48581315058056,37.78125489493828,36.20973741546388,39.67655072200092,40.755877768735914,37.86617774764816,39.15438598886672,38.55734204685469,38.37354714456383,39.482164913974245,41.61931595249051,45.17099502186231,46.87450012928946,48.275782723842774,47.39293685316118,44.97487259237359,43.64005948223526,44.066950820584175,40.777121238211244,38.02874127674112,41.80756574573628,36.91690246731595,40.89804371188237,37.361231748336664,32.62369872715011,33.25457364800163,31.744232545726103,28.354848123309925,27.851126972490324,29.618601390380256,31.39916452375673,36.309347760621236,39.4271143488645,42.61733719459531,45.09516101306079,46.03532861489135,50.12751484381564,47.410970028420316,47.18893221856814,42.80573027741422,40.655151573427815,41.125182422297655,41.25676665779875,39.21203498253079,43.13532789694073,44.156163991562586,45.78782918687921,41.88326185777328,42.21491105200624,40.027542399056124,39.052146941018,35.97226023106195,33.65397122260341,33.00497440589406,31.013373484470527,27.661435083209806,29.527318501318742,27.376281984151365,30.433571961927473,31.48784411232961,34.17835802719417,31.35235686996109,28.279788224147513,32.141780042683834,32.27010200224481,26.491442598795988,28.913842215730977,34.56611036163221,31.194715279493344,29.360844398016802,32.77776291164332,34.45852056259796,30.578969194562568,30.963131574778576,27.68548588751746,32.342662733020546,25.28933706968396,27.877146405395592,31.752768289620192,33.053355227261605,36.47612213932508,36.800170529426666,39.44872121763152,38.06677133471362,40.597577647996,39.73611008068768,40.73745998678279,37.92358475959401,33.88088148604252,36.26708945564043,35.674678395754114,31.24383982425497,30.865657267543764,32.979787857816184,29.14798270101561,25.866269006740218,27.471048064005725,27.68068861134008,33.320619806173134,35.77048214698526,37.26194966744248,41.001845982683754,44.52104822643315,43.51280768251988,39.651086654493454,40.97201221472072,44.364672678057225,40.74293880543242,38.2932855083012,42.259928989527374,42.432526534685614,38.29423290532158,40.716977582934256,43.28243853295179,40.648823711266004,38.57769034106839,40.9491364686854,37.875184665077036,39.61050933538705,38.55548334432174,39.19509271119764,37.508508794948476,33.25918160179454,34.291651434888244,33.32112656218605,30.80575827965566,28.633631488841477,31.09889456324901,28.270452470747287,24.52100362889545,25.316237493053055,26.7787708605856,23.76896382407283,21.004800267617984,19.399895174532816,17.665988986461752,16.038181818353863,20.84087308526672,19.841127333371297,22.992651962573238,24.86406818646895,20.423103429288133,19.237374890947624,16.421275327094,17.729239596012114,22.16682643032279,24.4086557877928,26.859397387228302,27.60066769632297,30.28269554547497,34.21405945537035,36.556789814522496,38.739513192776556,33.93969019384725,34.9635796914368,38.32085117969282,35.132332132368916,32.06906703877861,35.90531507979444,38.776199790773624,39.36110440647915,41.74253614383019,43.40280179878081],[33.827950483325715,31.782218438583257,30.443186330514536,29.93319932969262,31.096727600906085,35.96254748082912,37.62502559654195,41.88494248396429,43.12319347038135,43.340664511823114,46.92873712749816,49.6243825956274,47.033445250600366,45.96684878120317,50.96601577872453,51.29999144683907,47.816730323710175,51.22109516432957,50.82891629251689,52.51969403980939,54.32956347955956,56.123698027333354,56.13966260288429,53.3465264417491,51.51830266099455,49.38285799459994,47.984931947050924,46.40197863740442,49.61488993402719,50.89312716828301,56.11682022901363,55.33656998589789,59.78101889015139,62.35212219219703,58.754508231858296,55.81900344600157,54.399220960844225,52.033477815362424,49.470144421879475,52.40146420294384,48.61816149372563,52.362586643185786,55.76941827315629,53.73424361549063,53.757322511850695,51.41924942061421,55.37373007820039,56.250944625337084,51.803421837646304,54.58707626546136,58.243970257208815,58.70627198408544,61.04122013929341,57.229894625208736,62.331758636907004,64.20457848847596,60.659857115623176,61.77553776010205,66.3096138459108,64.71319592019607,62.13418548614081,65.44622834579496,64.94952202375437,65.47962118058172,61.993623770705376,59.52235569195777,57.912788037210134,56.7040212360054,54.294726796130554,54.26554426811346,52.959222229289296,55.63854122484249,57.889132994262404,59.34248961315074,59.63037465162784,65.5961268203623,62.683302768746145,66.34904544398908,63.87968138096531,63.06050672158638,60.98523702933603,58.01764014713234,57.116063788950896,54.57239123691604,51.15538242207544,53.018907322245006,55.497688306995265,58.29605392496181,58.529209857928294,63.53774403719014,61.92546105672043,65.6982660083647,63.287742626004814,61.988585848855685,57.506304236051086,59.08877211240625,54.947804142507,56.71823598722363,54.239724903769954,55.92647975611275,55.43439003232169,53.139824214792306,53.21336343788229,49.76178374341536,49.17908920673201,44.62011817944522,44.76771318278142,41.20377639880383,38.3254972740367,41.642632039759505,38.70806493105623,39.43066615029258,39.550478881222496,38.21172642200062,41.16662351750556,39.031127684471414,42.47580929450743,40.27092571245389,45.83278289841744,47.056797144552675,44.55572735028055,43.04401037564488,38.42317469650416,37.41783989402522,36.78168036271943,34.37581196771294,35.257376730289046,35.12080319429536,35.44839991444406,38.97088865967057,33.7513609371334,36.791219304734526,36.55595863290613,41.04031779311013,36.160160204292964,35.8359388808605,30.274937104231125,31.858715621386388,32.11079335096257,35.74329989615007,35.32754650280222,39.23587791826102,41.8813799677895,40.465292275872166,43.80920382571386,45.200759059973045,42.42482073022465,43.89768045069588,43.29701591426542,43.36123628380028,44.378915227435265,46.72700421051244,50.13798083711631,52.00014301214778,53.454064194555194,52.442076036156436,50.0176510644626,48.49734865329127,48.89951618574052,45.3535389307003,42.41122861353256,46.182005986846605,41.09658392879775,44.84679596622818,40.88301968319987,36.080324123603766,36.36971855331254,34.36753895571691,31.14892895748343,31.217088732725525,33.09003265216057,35.277332045867105,40.07651283199502,43.34524774978264,46.70929909278287,49.30040510608193,50.51312064747537,54.379300939151165,51.43628012250664,51.088008837430905,46.4762903001281,44.57899878293385,44.49377560677985,44.276897655655326,42.429085806683126,46.35128456521084,47.6317948401144,48.7669774300111,44.73338744108432,44.8296278681995,42.382164634793476,41.76812422792355,38.464898049493556,36.30461752034907,35.576683757395955,33.382251699282854,30.570266896550677,32.4356518960284,30.5735536674247,34.08981031971429,34.73483068271825,37.85376786587764,35.37060682909339,31.96480896077073,35.64945107992697,36.32810823533147,30.721327997255024,32.60121027818473,38.33465531800913,35.48441555299787,33.415060122799865,36.579195465286794,38.69785220999547,34.92463704033609,34.80669167947783,31.473894039464692,35.62596888894553,28.15321488354798,30.924418175940836,34.53239495851119,35.175350709870806,38.306168692933504,38.367723699494015,41.37242596394541,40.04080542907092,42.51986505993192,42.10071453963323,42.53641383885827,39.4748739422803,36.13586265832461,38.40839897871087,37.06188924700585,32.84543431130977,32.956470016820816,34.714074265309655,30.26216415965266,27.543557789882286,29.65876266504423,30.426077571171643,36.2044940666279,38.347084570941,40.13854074156753,43.97317004392927,47.50439470228095,46.875438811972366,43.09671917070437,44.24711451438434,47.9138664051056,44.61873249749852,42.00594004872967,46.011395695962605,46.453945530812,42.312046359568235,44.323262447057125,47.07892372412313,44.76056069996315,42.3065795537121,44.34696847508147,41.14235266069813,42.66191986819628,41.70435316575848,41.824645657567295,40.14485567754661,36.401484568005515,37.008130586217014,35.60200134780629,33.39546502754143,31.378682237503103,32.937459876074996,29.983978411270762,27.016288115651776,27.444619763855925,27.963987978189042,25.030996858417925,22.983868372874806,22.382916417264607,19.535338025834086,18.873612574822072,23.567701600322565,23.643896397285864,26.89944747276215,29.32778308566867,24.980393975760425,23.712541355201246,20.51684000258107,21.857903632146208,25.93559524819258,28.778150483356004,30.868237294798604,32.09094617087828,34.8239024240115,38.65478681844974,40.872791437168395,43.33646901137169,38.69884628347455,39.592272208064635,43.14512750538526,40.18672999012476,37.011811227852064,40.71894311794268,43.78236795585209,44.494624786797715,46.85580142350354,48.519601568213616],[33.81483162907801,31.494542174110347,29.516982812388164,29.494157027098176,29.735801331347243,35.11010532669904,36.603105237023826,40.670120214066884,42.374043805981735,42.552302683341516,46.24901102992656,48.70863108551475,45.8756166402802,45.26684144553918,50.10472945530618,50.11984531194452,46.61434820337835,49.99650385375406,49.67902944014012,50.963308383617616,52.85274650296291,54.33262191610754,54.54901363884063,51.78726070360961,49.77014631798364,47.909408821907704,46.28154090947991,44.87330117604294,48.063604533164124,49.26821339623587,54.863999040242646,53.762532157359246,58.279832330496596,60.7711857354264,56.991639924007416,54.11433583403409,52.42967620930078,50.01387661651942,47.28823435037019,49.76559311044445,46.282751962557214,50.33709665561951,53.5124298279557,51.28467676808087,51.32842989870415,48.80927254043867,52.687785112732676,53.60870198469492,49.02837230560974,51.5330340281331,55.232924663992534,55.54189993770465,58.02721015351741,54.37028252067562,59.50383890492188,61.40451211492749,58.064802475342304,59.328545657427064,63.79533284903664,62.21615218502685,59.94545954951522,63.45940251052657,63.09590405102731,63.81155430803927,60.187012858535375,57.709512009214684,56.56803893358551,55.407751755189224,53.37858890664674,53.48714992259922,52.39805287333311,55.3175684183753,57.25126484453379,58.48900941584088,58.51469701922886,64.32704419732647,61.091291525195395,64.66896832473661,61.959852814776006,60.89295355094547,58.6498760461959,55.437394494525186,54.45039127899199,51.67763580409849,48.40563331164203,50.57633289336254,53.27639609918345,56.09279942014291,56.66016525784548,61.748072526036644,60.441412366391106,64.4214451295993,62.12768698144812,60.80886725203019,56.42618260715823,58.27032526032583,54.22865857794495,55.54214744528717,53.01722508816509,54.56223630733314,53.737909888961596,51.16531118352396,51.04761868894469,47.387354200885596,46.32745201659474,41.933145247417876,41.784492818125656,38.04465762009987,35.48241403729114,39.072180835657555,36.52814369109474,37.2947811741894,37.955182954595664,36.57600223173437,39.918574111871294,37.823582782509874,41.25976256132422,39.15123128139361,44.85073279545181,46.05813912070854,43.83604563012367,42.33420960322493,37.76476666144675,36.59574175280387,35.88457894268803,32.88491747365046,33.66335991805888,33.02742755291748,32.938672050606904,36.073184141614995,30.645444866029532,33.323508486735435,33.012570509099355,37.67555068206008,33.012609734472505,33.172871005582955,27.547650791314123,29.701519500424915,30.45133299039621,33.90554795403826,33.856145419543786,37.55441576208531,40.28656830073395,38.7355494572811,41.81303241170857,43.344330103761756,40.66811712031495,42.15243205182743,41.38065174516405,41.80095659457124,42.60036183927333,45.36263570332641,48.51538796634081,50.82184680978774,52.247064200730094,50.90870658745358,48.494131029901396,46.621899049499824,47.05637470492337,43.103411237601335,40.068992590414226,43.970001064535765,38.873238107397896,42.352337632668814,38.12700025699453,33.494926226687014,33.25763560406333,31.15819818533449,27.864319914990414,28.43305452436969,30.136896108028814,32.712413255193994,37.26928926838187,40.56708720849133,44.059216448689156,46.64843465665667,48.23487517107655,51.76229182950397,48.69320586252696,48.13559132731078,43.442729524329394,41.627580604737915,41.09663187444173,40.68895108035475,39.07348129091078,43.157997174449626,44.780314317257776,45.64367745564881,41.80866091502851,41.50606280255587,38.861455659764445,38.287336691782855,34.75494029764619,32.57718543934863,31.702542360197462,29.35208947442884,26.88288965139304,28.73196020127068,27.188828838672276,31.02633113194993,31.548172158576207,34.98568665901379,32.77839009882605,29.3400632049588,33.02023206083837,34.15828596924507,28.92150517117814,30.5530493914305,36.30757404012867,34.062755075649,32.136803896782645,35.22791464974176,37.574453154140166,34.26518825619986,34.098241608307674,30.600820080922652,34.48417962015263,26.820732123235608,29.111648461381346,32.67166584906374,32.8043697965791,36.18970956870389,35.739293402406794,38.46950574895591,36.83843580067676,39.04923697600533,38.58561860215196,38.696389099699324,35.773520543318114,32.62106433712893,34.59736505819956,32.98923390437942,28.98083635758395,29.093938458660716,30.530130441155293,26.020300505881526,23.597768729788857,25.615583708113252,26.884341814203513,32.53957732912472,34.56592511797192,36.7029217573525,40.469042258397664,44.159807389208986,43.61916428932658,39.92319858434705,41.23672986779292,45.051928401679895,41.95669577661765,39.459404133025,43.6438727509775,44.328054943773935,40.32450123421574,42.18311988158472,45.17722620420591,43.229810393590874,40.66313033702592,42.50734192916737,39.13021829615293,40.2344377156274,39.0001988271396,38.85704959436212,37.598808705695895,33.97936944512086,34.02097613268019,32.737480022034,30.863966109096445,28.463322661484394,29.652504781988164,27.164194781303692,24.374576249639276,24.094187956189483,24.541029664429928,22.176157599923872,20.315233380068506,20.37886379696807,17.61837565371907,17.877058787645442,22.5827767311273,22.96738965292089,25.623136499907726,28.46809449445477,24.607922827127698,22.733663524668348,19.203723238643967,19.958463316743163,23.592970674212236,26.66985475349337,28.18993639852249,29.867157786116522,32.93331944121309,36.49106717993015,38.71880693768793,41.37277621599241,37.00488620177391,38.08511804688574,41.82249891493793,39.001373907682456,36.12097134202977,39.8290517692315,43.074477198559165,43.906154472781715,46.15884931087226,47.74169653430328],[30.233201471154306,27.774908876519415,25.56740560824577,25.672377694040126,25.72408686767299,31.172444435262072,32.702970409222104,36.711784579221245,38.55102369594291,38.86345961516396,42.58807294429205,44.9155303251926,42.18751554314575,41.744167806198,46.56447986522616,46.529416413864304,43.16966922769183,46.69787278118242,46.67325155779262,47.882760678982294,49.99066779800746,51.545194547419754,51.95643007811123,49.36927379319109,47.12627452277899,45.13455720660545,43.285103900425995,41.688907453346104,44.70279667012629,45.707456136305815,51.37746289019089,50.08414226124114,54.58603614465987,57.19718683480983,53.43653483655601,50.692059671474205,48.865424365927865,46.714780152429185,44.07867598668997,46.688885046924725,43.392734273513945,47.4153256313612,50.64828962905419,48.51968478035064,48.815353475500984,46.42249883561821,50.38140287085309,51.02093932882538,46.392647223682005,49.08597621606129,52.593560529729,52.79186106586504,55.178782361342776,51.36447501775572,56.424531911165055,58.52503311653998,55.23045462520085,56.28682390752796,60.818549416072685,59.47470328234372,57.12760352360029,60.517973915752314,60.00201789035548,60.949948310493376,57.37083080366248,54.706486060359296,53.63328597983762,52.270869028332754,50.37168139316192,50.307562585081115,49.36478674620557,52.38342003263196,54.15119443092599,55.50856570787456,55.30547929645877,61.14697309599539,57.903122945778705,61.3588884148376,58.660775824465844,57.69093322911427,55.29181889077997,52.18073791894795,50.98629813025063,48.33211562928799,45.13729414534693,47.17828708820561,50.00656360839922,52.621977534899,53.346961599215476,58.29372200848077,57.05148866668249,61.067293922599944,58.69020518126581,57.248929206063174,52.84700702269157,54.69688428671033,50.65282609703961,51.80894876402658,49.20231499221404,50.617119516306474,49.87974350308113,47.20220358427736,47.21973771429564,43.475233368390725,42.55460328657094,38.05832278783613,37.92356157976038,34.25518670351576,31.55127422463079,35.090945988679124,32.494842378510036,33.38460195638493,34.061411536836204,32.85290998513146,36.33884979460763,34.43343166586155,38.00449666445774,36.16348239637102,41.99328224149959,42.90969461168825,40.728888438032406,39.05334958327644,34.580145403155974,33.17823735485991,32.24795387765611,29.186140863590257,29.700844151283288,29.123512069506667,29.018989721239468,32.290524190232844,26.8955495602593,29.70764943554296,29.612247186468313,34.148349118457155,29.529444049940324,29.56441655479261,23.91126260999947,26.205461724254928,27.1365124288017,30.671978302440333,31.081919756787652,34.96554746395534,37.429030398635135,35.64681309819386,38.70098235986187,39.997926860056964,37.24867707095826,38.521889522832005,37.60046214677397,37.93262206687633,38.6081352882778,41.375460206195534,44.46727907122293,46.79629284070612,48.26053503501226,46.92104715297952,44.57718613138205,42.661840660310546,43.226375761028585,39.243183546160054,36.409161365181944,40.460353828216334,35.548774264090454,39.11099971938907,35.119166367775755,30.635664987333197,30.36650785122159,28.666717750201126,25.1047732262372,25.471013329191564,26.9493191516507,29.416799918553412,33.95154856388278,37.12423635514464,40.54129097957974,42.99081745393344,44.55917843451672,48.10402833418919,45.2072441517646,44.608060884913264,40.0968159232456,38.00398561144726,37.73920644063277,37.56179453674946,35.928617240573125,40.18582553623325,41.797605823049345,42.96825133943969,39.368112104447036,39.02633395212872,36.47613897532939,35.57538126723538,32.046851312821765,29.647296185939354,28.678725839304214,26.3062691437639,23.49030591956876,25.225075864547343,23.450887775715476,27.14256067989228,27.78689604975675,31.08561652732455,28.771432980720185,25.41547910499222,29.195453517451554,30.181442893936484,24.934897154741464,26.74748513859851,32.49477742747595,30.169086848592407,28.38640667434144,31.583574199310114,33.7972187998334,30.596892936475815,30.647667928309467,27.11718794825864,31.179828627206646,23.673089874920528,25.709898068262877,29.42835507642622,29.833108148133103,33.48993374678938,33.08466473632767,35.535445016045706,33.812339003612,36.03488040137988,35.29996942911462,35.73828267588336,32.96116981047915,29.359998549664073,31.413840005795894,30.265225594380816,26.08202518260093,25.901098060330455,27.607012679381043,23.444237830761818,20.59523424411777,22.412446304004952,23.315568302772636,28.995104388635514,31.166135781334454,33.140390638611954,36.88950685617069,40.58133142104912,39.88005101791397,36.13505980927613,37.52041965311538,41.23909719913504,38.01955835853424,35.58676630101053,39.795550662403755,40.40663839261338,36.420347265596746,38.444052488067754,41.40597526505681,39.39931629280408,36.980668535230876,38.94996028147364,35.58965820678588,36.72091296958116,35.37482709308863,35.4765224821803,34.287611907226044,30.387308454293496,30.5595462218879,29.55147130572928,27.547686303322433,24.953737446165498,26.65497375588788,24.319681497117184,21.030927220563168,20.838198729087786,21.92822841956601,19.594915103197867,17.250918604925737,16.88239257608819,14.828567464053652,14.850379871237426,19.632649816346376,19.558513490745515,21.928813545714593,24.683241641196233,20.993061358216135,18.906730837789826,15.390537550210812,15.935584961065217,19.632174430149792,22.58960069390828,24.1860031533688,25.83695938818464,28.85481363148906,32.41746411600318,34.67297100337425,37.298256388664186,32.924473234476736,34.056156210226426,37.787072143991,34.972393614365856,32.16842527606806,35.9068151828256,39.15087533064912,39.999479560954946,42.23637664585956,43.80401270018674],[27.764093470056224,24.993213381845514,22.11761697014936,22.22416824155567,21.551414816922055,27.2462330677522,28.522098573282378,32.429200178127424,34.45409798087723,34.68304004471132,38.44517390402946,40.65068394057932,37.79459534329183,37.59809226613449,42.30888425371035,42.121545627135376,38.803864401173186,42.368762745591134,42.52489575081914,43.55627764723492,45.81566707747414,47.334349113084215,47.93143735310121,45.49413206337601,43.0443373484818,41.03982759213052,38.98594317610222,37.33429927550863,40.24162176699498,41.14631726369987,46.9522576450457,45.50634635691254,50.02330455438479,52.62593004686553,48.82365446408499,46.1450618248541,44.20405570020093,42.15344363931953,39.53773529968763,42.15920967650295,39.029718816919434,43.07419850203261,46.294181737395775,44.21636719940972,44.704519850909065,42.409285687667904,46.4101940459987,46.8236449874898,42.16929660314189,44.99415691499238,48.33807019453757,48.46499679168205,50.77257932660153,46.8669886927755,51.87382258984306,54.096596285409206,50.84939769027437,51.78279722212484,56.34295477640979,55.159497837847695,52.804012598686064,56.142696350920424,55.563924759329915,56.695119739718145,53.12221410820793,50.34232683346655,49.43915017858663,47.97902078027677,46.292138725095285,46.19407476895077,45.41964800756887,48.581781176170594,50.119701557419326,51.448234661380205,51.03042659320509,56.82045824711869,53.482857926964634,56.849624624700056,54.102542763986634,53.13415524670833,50.635095638372185,47.5472665219037,46.25972170483712,43.64983737619327,40.49477117781615,42.49777809139108,45.41557984425605,47.94233944176248,48.80120875765379,53.70069353762249,52.57025077704979,56.65959549203571,54.29861764855309,52.81954432823635,48.463900689211556,50.427546922867364,46.44669526209493,47.376750614558944,44.768999508528,46.18158676471026,45.27037690224599,42.57277427421238,42.49421626787126,38.76231924963177,37.81279200649652,33.33922661930861,33.31964775319234,29.664272113716194,26.984676518444083,30.488887674885895,27.942858341660873,28.701087707119243,29.538796509814187,28.295894426498048,31.947458759626485,30.132801512340908,33.739248250413866,32.09877655340786,38.02140025815606,38.75589742763414,36.7269280928968,34.98876422103419,30.622451701315114,29.059083889624883,28.055713792396958,24.71229099501009,25.248336480108737,24.453662700645303,24.30952081757652,27.556486318727178,22.212933211407442,25.192352150915223,25.06688671660819,29.51256435915599,24.83536315245085,24.810424932092886,19.1561169303104,21.58272304586961,22.75700334397423,26.252626681942807,27.090204204755473,31.017177324313316,33.28401416072625,31.31815388864595,34.2738331539063,35.469643296895846,32.72361338193352,33.92329829272403,32.93560256864413,33.40038431202117,34.071776187197344,37.01402225601988,40.08048107282527,42.65591291020629,43.97620282073522,42.45853675863854,40.06400449564742,38.05769961925944,38.57662156661223,34.51641081678224,31.66822109831784,35.77913001428966,30.95976944356986,34.51446689167448,30.655577280689872,26.32036184080098,25.996761533156125,24.640173415326633,20.887348025662774,21.09423577160663,22.3902782429422,24.808341379820487,29.29886722741678,32.41141065946171,35.80374418183301,38.22186618277263,39.818024438926955,43.33516731154317,40.47386146229878,39.872049077207215,35.426057547993345,33.25405566804753,33.1283498633503,33.0930251320984,31.396994616715222,35.726540132785836,37.32388148081734,38.705368370765946,35.310021977033045,34.94070262656953,32.50159511919,31.34561641740786,27.883592247587874,25.356820079121857,24.418327716885617,22.19600987501042,19.0731909171866,20.950231096929635,19.245540839169074,22.784168173084346,23.905589927374965,27.05265081279601,24.569768022270804,21.628015501032994,25.667668140141927,26.465835178110527,21.4091660597294,23.63825962548229,29.292567506704614,26.958788951223447,25.60812632236603,28.987523511258534,30.900640482968036,28.02507303490881,28.568893114015726,25.020618528240085,29.30624470919633,22.219686234498436,23.587722453381673,27.490920368507815,28.127189915102473,32.21737424891743,31.66325524949098,33.50071726972838,31.45653134792323,33.464225560235704,32.19086298088576,32.91617875614827,30.571099667220853,26.378975898964313,28.21978053320057,27.657812307557307,23.491315186603355,22.687369320812188,24.413009612429747,21.000325772475815,17.829194409931926,18.70844084640587,19.600241804290818,24.953658922503895,27.43382717222328,29.488206088326628,33.04745379386195,36.93626039607741,35.85629469050559,32.07515847810584,33.88531118510926,37.44265832058991,34.01506382168224,31.91358138318156,36.26935246909895,36.80183932854772,32.955508243966435,35.30438894581873,38.265838252711966,36.24703912392074,34.162451102068665,36.3026940913401,32.94910969724916,33.930133175690855,32.21089376298116,32.63544563008792,31.84329521230406,27.524141453084624,27.60826374411361,27.223805047401065,25.221752076811985,22.061446274517518,24.42756131660662,22.727063738972166,18.784773379355286,18.240462880237057,20.37656442724097,18.584817156298243,15.69744292608417,14.835396994647613,14.281317918002538,14.137313080752852,18.763761563749604,17.85308881461538,19.426933068408317,21.889943027768293,18.681592960827185,16.104325505068733,12.795334567417651,12.411761636152042,16.047609822942487,18.422152418353242,19.770599064236272,21.28665093553322,24.784974585921198,28.170038306426356,30.6373754955161,33.0855293737798,28.780258873738852,30.31627967857428,33.972715469272266,30.96616581774943,28.651192300388253,32.531904619543205,35.67178531008217,36.45706946158601,38.602502349105904,40.07115280432336],[30.899772155135256,28.310565803868077,25.616001480542646,26.511818905243114,25.604424058894935,31.451806142389554,32.92090538957413,36.58404884055298,38.991277282687,39.42316418173036,43.20990559090543,45.16520725933909,42.35153337921714,42.47642930276702,47.07061651611511,46.691179583899824,43.44804944152439,46.98916713613323,47.175567110253844,47.90820568977292,50.16211854373012,51.37727996622165,52.066482397625435,49.58766305419991,47.10025929982882,45.39737705332014,43.237882862569236,41.78031387372749,44.639186829796536,45.43014268553803,51.48121527375971,49.72987458527294,54.25609357316962,56.84744531225304,52.93028148723323,50.35740894972326,48.15745523289659,46.12426429258049,43.36731484416173,45.43312111845485,42.63251827426832,46.973019793976036,49.91645457569955,47.6067252371223,47.99264824388414,45.42729369199417,49.260806931252645,49.88706588958333,45.12422904768017,47.457111359807485,50.940157425155455,50.89225361939371,53.436463889438045,49.794380667267454,54.836579965048635,57.044510561667984,54.04973167183661,55.205202327717046,59.65345314654306,58.42452508698879,56.44074192882047,59.997714866498875,59.578457959161,60.813808782164486,57.123833190536146,54.40780651712407,53.8811255571356,52.502526659322335,51.0664614795991,51.060307683568524,50.39831335568608,53.64609914842776,55.035524924319894,56.225450396891105,55.663452077903365,61.31193850958573,57.74743748832858,61.02285069200848,58.0798623968279,56.87280171012593,54.208687617132796,50.86356102207846,49.44426755818063,46.57333201124235,43.65005068854823,46.00613520327854,49.15286258064118,51.65830899794755,52.859468831513674,57.78074614401113,56.91886285069948,61.14113647401144,58.853747862747376,57.32608974982472,53.047381364215084,55.132163735662346,51.21503284577494,51.801648047933966,49.09629294857413,50.19272875778542,49.22849340121176,46.12043139197151,46.07056715174747,41.985220519984225,40.54601834353081,36.220502202283086,35.56708264220617,31.736634110155514,29.39456558847004,33.26968578131459,31.214900448420035,32.371866846747125,33.704229858327885,32.653184008223384,36.5958434823898,34.894122862635044,38.458598447076554,36.87215411043365,42.78853916483383,43.55504565335217,41.699973347061665,39.97419677035046,35.689577449727665,34.03417688282202,32.893615806978154,29.261276085083644,29.346401088280505,28.27060707820359,27.55080709615993,30.32193365749183,24.692548348074418,26.8823362899455,26.928268692462822,31.62221372518043,27.505158414253568,28.205031066323187,22.587839213751938,25.727057793538762,27.345100489050285,30.60637179523101,31.613150851307076,35.22284236909815,37.65000711874754,35.659617247563766,38.33577538241904,39.66410540095225,37.03638412807575,38.16327152352924,36.93106416566711,37.57140253796874,37.81793310608295,40.98341796280031,43.636579686557454,46.36504464518896,47.9200915367405,46.29533999082488,44.0993955263374,41.75634146067143,42.51238607411794,38.0439677646133,35.3259588582821,39.59426839997797,34.85534638660008,38.05307441208802,33.87838335973038,29.78657856186491,28.75049328713016,27.098753198635936,23.406939337354725,24.442405554071353,25.507300219667766,28.417814330413385,32.49972729049251,35.58541547673837,39.08900648892079,41.398147276566775,43.436178542453476,46.50714555285834,43.59616194969991,42.66629625968541,38.20839461162432,36.04933042196805,35.280104703477214,34.937900864300325,33.70674092209403,38.26343895850681,40.34413384288625,41.23544051340694,38.04103332129606,37.115021089032965,34.317034090935024,33.3794696707226,29.50652125814902,26.985613397311752,25.664853794245477,22.922480333240667,20.595713152647264,22.008518833818076,20.49373350380404,24.60512733453054,24.789100694381272,28.512563947795854,26.701351643787632,23.152051918502806,26.71700931735667,28.383798474724742,23.737974436771722,24.950361825337875,30.607805843961536,29.176089626329155,27.472241394633667,30.394883171292634,32.97310551061411,30.377579524399046,30.170394301821773,26.56349281464508,30.04216732187289,22.467056540959636,23.9445414948184,27.424391632462743,27.12203053237087,30.917898343063506,29.945660881342704,32.16721839340936,30.185108503648465,32.148143379585186,31.52831439924608,31.549590057769077,28.81145315229633,25.596059239194773,27.394843632832185,25.83707557470207,21.86609051068528,21.88346924570993,23.304977460916124,18.881923423783128,16.416163669944833,18.544120913589136,19.89406276361327,25.55327298483513,27.412285130710956,29.68306902502157,33.42301674631395,37.16260434849163,36.75593191315233,33.15311239899643,34.49613923509859,38.432240811840174,35.59334350566025,33.16958098439877,37.48264839810764,38.430878504197764,34.620117259741754,36.27755447183712,39.49934490914399,38.01097130998144,35.35702808227519,36.98001559628627,33.45705158866578,34.09844294415116,32.55703854711113,32.23391671228451,31.45191647745992,27.9048696158675,27.38943144701509,26.373539910036968,24.831012367999506,21.966949641621518,22.998625119235907,21.166945168492,18.36050216887943,17.31060397832143,18.08398774131691,16.470190639873575,14.592944278320743,15.342478530215555,13.311817992775875,14.702380638833802,19.024670640580492,19.626975724622262,21.22866417088732,24.547052871472832,21.618477633250347,19.012364009904335,15.26937676399115,15.18490917091034,17.91375200595444,21.39593516068557,22.26978817236121,24.668007004346908,27.691705596646905,30.888463867189312,32.97391168510172,35.938887818005405,31.993961092115107,33.10609304069151,37.063999494859885,34.65884776137066,32.04422617535052,35.59120075939015,39.074243180331365,40.12723186818316,42.22854632070445,43.71903524008086],[29.224316398569037,26.372880711690247,23.002571718028545,24.15568119582827,22.305876752740694,28.3981284305527,29.6084610245274,33.01862048557477,35.74854849491065,36.14748028698806,39.94730141589199,41.66461894420243,38.739981763269945,39.25665394031566,43.64767977562623,43.034597320023785,39.89526915370304,43.44879862965896,43.86284369287259,44.292449499541625,46.71504639559821,47.7949389828325,48.73196198740314,46.435354800421095,43.70369935247304,42.08206886705436,39.65887037736483,38.20118591314613,40.889912751766964,41.514151790233655,47.76601132521265,45.74592916864872,50.27121061371475,52.84307510098601,48.858769910768444,46.41271564965366,44.00166795944696,42.1153012248791,39.35571470966665,41.25080674779131,38.776711300336174,43.214355869185596,46.04627795874776,43.73131376285729,44.32759606302834,41.804417402238016,45.62931099631772,46.03708361820697,41.21186448642737,43.55670373146468,46.87703614271287,46.67927833476397,49.19546808806638,45.525739135939936,50.49708163497167,52.85101224460929,50.003911762604766,51.07066677292713,55.5027317480909,54.46315257987729,52.58584927763981,56.131798384249244,55.680162257312865,57.16303008055043,53.46102778444744,50.63149062249988,50.41648786803247,48.94896142922917,47.84142554376562,47.81679512208138,47.38843974569375,50.80089636099944,51.875787518927275,52.99178091870054,52.138653227824584,57.663936282146096,53.94121969010822,57.07080662426442,54.02469636217205,52.75701333917232,49.926444130724974,46.54363667476826,44.961815284820624,42.06851288164762,39.28857436766471,41.70064580446327,45.021130638200646,47.395846060823054,48.86275144797378,53.71023430479547,53.062650893421555,57.39086832557984,55.14997915426544,53.56745630262113,49.38518783945897,51.6250093313351,47.819884300764365,48.03758842150017,45.31323844769781,46.301941278182454,45.122240606729996,41.870025809435674,41.71731994514891,37.54061162852736,35.90291836366574,31.664656087492794,30.932344084776755,27.047976812971708,24.872931102960823,28.83543887530152,27.04419565789081,28.178459433395027,29.884384095596157,28.87995032986761,33.079055668985475,31.552554695722733,35.10275381662095,33.79808053229242,39.75463465154787,40.30363051035617,38.69628322812339,36.91653978932629,32.8401420596192,30.988755328773244,29.728065455927833,25.71803756714349,25.647005952526445,24.20054403871603,23.195039546375217,25.721165229027505,20.05160574685403,22.13348818977633,22.21881795821688,26.895383867204913,22.937851784582445,23.859421381092584,18.323942443628972,21.91294567061522,23.989645965259985,27.050909238552244,28.63073418610711,32.13577758655525,34.344828317973814,32.14391353564191,34.5776002286248,35.80776871458361,33.24547374851001,34.23892194850495,32.846733330736406,33.703038334732895,33.79236743919668,37.22248259180548,39.691897536593125,42.74753309728666,44.198121847437754,42.33577726445006,40.15672046145389,37.60656597997792,38.385197892489785,33.70599424107344,31.04059232500287,35.415904798663945,30.864946419650586,33.90459343883878,29.82006189356804,26.055294173492026,24.67685750911111,23.393681449329303,19.493147516253455,20.65710222910711,21.349834205225907,24.363331691144346,28.1882154175169,31.164484530302534,34.658077928883216,36.87678899330229,39.09268497451409,41.97221489299981,39.10134736976757,38.05589345105895,33.69322058907041,31.431473781878317,30.6133966840471,30.35325253292782,29.213874705864587,33.945110403828025,36.16912211654263,37.167554518855525,34.32114359340497,33.16987371421249,30.408481624429157,29.203110461278836,25.264343339450804,22.555569510997522,21.103844711122328,18.32014015900956,15.88015113667417,17.28479263140801,15.95661357043821,20.12806702521226,20.598603303194515,24.344566333316,22.57420320387294,19.369835325320338,23.09192848773103,24.820203286761394,20.634046035357336,22.00054603388377,27.48955735242303,26.359939257258674,25.100552284293165,28.07153704216778,30.45698668579796,28.365891712736072,28.528419905402146,24.937580389428792,28.409840899649314,21.32850187262853,21.97590758855318,25.518443166974972,25.246365897984905,29.484444372655172,28.214438693804794,29.738856929032508,27.35647791905763,29.017743076993092,27.875411588475245,28.060177793323767,25.7887840264129,22.058602846373926,23.543278165128562,22.468844250359407,18.575314821750393,17.962176899544733,19.300311979843116,15.608970467618645,12.884741067739741,14.071598167635134,15.655417160437349,21.010841301595004,23.085196974635622,25.56500249383746,29.125259697246392,33.09206638914757,32.4073969038316,28.80950381711122,30.56222730330327,34.41350280972878,31.50301056922497,29.406939725869417,33.88605255028384,34.86221293079188,31.256850836523007,33.10164089337598,36.38836533400937,35.049674918970474,32.65480474547812,34.3301045932678,30.784965211181262,31.129495361526356,29.1609743771048,29.02657222482717,28.77027997235862,24.93514575523741,24.09707133154009,23.725388858255027,22.34316876853234,18.81443062874863,20.31075975783281,19.338408870802596,16.04651942174772,14.28257676286325,16.118834234053086,15.375237434721582,13.11461574562207,13.733163170772938,13.283214879936152,14.788420091516052,18.670875407416116,18.694437372905877,19.30097569532061,22.46379107386176,20.26874127872606,17.173096011386345,13.707401978383364,12.547760720060822,14.64910863337422,17.74247699203844,18.02988551975723,20.614714989108695,24.03925303496503,26.90339477998695,29.110201488247927,32.01158266695761,28.312789853485697,29.77313568618974,33.70603985216777,31.289204064335063,29.197091346061555,32.769046934487314,36.20504463395814,37.253546719819376,39.211326976283665,40.57833982097974],[32.552599623570366,29.572417444897955,25.954257876809425,26.26710939234563,24.228176310447825,30.307609758173975,30.93004823507469,34.49078163613827,36.87471488650585,36.62037172226415,40.384901914938546,42.44346193604782,38.960033646276585,39.20144162828366,43.53497557239982,42.915850843380625,39.3419731502755,42.515101690507386,42.30388632613342,42.795252841828635,44.81167647301238,45.734412788367834,46.35897099717311,43.77873100283908,41.37084512415977,39.99554719754627,37.945641965269964,36.90549116067869,40.02090755875402,41.17445961715975,47.31651098225367,45.78541703221623,50.38037867745693,52.56729889259661,48.50366124390749,45.69535112285174,43.66303405549467,41.072853134417024,38.10537071427957,39.85026716354733,36.88641360559128,41.374931124244384,44.14889861911907,41.691728495883595,41.87709558345358,39.20913188843296,42.99286162453541,43.79305880595622,39.070873628890105,41.29840596776864,44.91684308594057,45.02214979509075,47.62348598830888,44.14944089798167,49.28129544327817,51.22719999714226,48.18403016041249,49.596946988381006,53.95040360419923,52.467103996031355,50.635815674143466,54.3975628149857,54.236554340892845,55.28330320954289,51.48009009938003,48.98545515914847,48.68887820978525,47.63762815151136,46.37479377935779,46.78770760323278,46.14253811768796,49.48167795327623,50.735980471618376,51.50472237106369,51.04670214478296,56.477861973756795,52.70437577855853,56.10859801572473,53.02451487413366,51.55953092311507,49.117777437717336,45.56079147821004,44.55691066567185,41.46641089000276,38.371854606061085,40.99104085987429,43.95051973243294,46.83567757340898,47.87746198011036,53.08953733680801,52.3088648279344,56.6020711215745,54.60628806183844,53.35710023507518,49.27325273034199,51.63002102656609,47.90559831080753,48.39689870208746,45.97639452244205,47.522366886180116,45.809973409496415,43.07781115896019,42.31085373100307,38.63365754181662,36.73643636223424,32.84251840784459,32.59786755719807,28.618436066671023,26.83427959009589,30.654317963547836,28.872534385542032,29.146299389532487,30.784208044920273,29.05405466365922,32.89950572816365,30.838115269136726,34.04610132253452,32.17835613265607,37.94778625270253,39.09561886640056,37.52599738291881,36.17236071225084,31.89415396202157,30.55676239172543,29.953803194604326,25.8534533388555,26.951256029608707,25.131730363883356,24.44325206602131,26.65861216062206,21.18593897267298,23.460649744176827,22.554410009858834,27.411760016513558,22.880169793617984,23.790593376758324,18.360783215803764,21.263756235129456,22.894575569557745,25.74869761743052,26.444395514395822,29.622168193090314,32.33976474083701,30.56779657647724,33.0577553451109,34.84598479995968,32.46716320804583,34.08369282635187,33.20611496460778,34.48212360483498,35.18991956980536,38.74355299309996,41.56882126294471,44.846894729600734,45.83312089767846,43.747929253671096,41.16850170575591,38.79174352748069,38.9457837923309,34.46906373300971,31.032905837062064,34.91679961046716,29.83302872462247,32.76298809817577,28.20043410274873,23.98065361584601,22.919975427791847,20.866931380619594,17.427563860727215,18.739268041826598,20.122842064838014,23.27237352530851,27.33645421822215,30.683162372496685,34.34715566357613,37.043087095550035,39.1443226741124,42.13769189553101,38.7747967558782,38.02922684574082,33.15028678340347,31.71960370466238,30.53187397943147,29.85354983238399,28.410539135378688,32.60062448826169,34.62899256502969,35.21717422917603,31.796807905275433,30.967616515657333,28.190203836239927,27.520521513148,23.811362691806618,21.643540874496832,20.81063442706816,18.667809214601274,16.612146355821398,19.041549073467426,18.65572847068372,22.680771282397952,23.983315695414007,27.580038910264797,25.560095494342747,23.066465599506035,27.04421764092115,28.471431090893745,24.328847127003055,26.25597557426765,31.64788793176323,30.21504784659878,29.253629667691285,32.44221665489079,34.466577631052026,32.2753818283773,32.85442994884581,29.287001492586263,33.08465222468968,26.114500087486476,26.74329377950848,30.37974073618807,30.17365595922429,34.46285609254459,33.08622041133245,34.389079663842196,31.787826336585383,33.134310295933815,31.668270484627673,31.63405695949839,29.775028182418264,26.048540644058413,26.970841498687,25.841317792197156,22.42521198388496,21.40229734394777,21.97578469869651,18.81185223982115,16.67519639285487,16.3765863663938,19.05953066280333,23.533887171536655,25.935451504442536,28.955936078295267,32.1340638359118,36.475406772083765,35.34015655418916,31.78356483052055,34.20582372132509,37.878940564173675,34.74651991594282,33.13178838781414,37.74297815775809,38.59401972340245,35.129079757782385,37.315162736640865,40.548729655481175,39.070401835081846,37.00653533036285,38.84909223125298,35.34429432051931,35.60721608565544,33.36013000467203,33.3547455345852,33.42863259490787,29.418726490012407,28.42433702861242,28.40222227267309,27.114062701543236,23.296400089716954,24.861807675620827,24.24003201777508,20.895129539270613,18.820096111456152,20.741631467289302,20.292446677873617,18.08496273610823,18.43009037535091,18.005642671535522,19.063411801000992,23.274661908500814,22.801718247012445,23.515915422633164,26.1743551993913,23.728762720849776,20.69186295372938,17.469335997686574,16.056441710108956,18.545863494168216,20.60839257418239,20.58065878653736,22.47796470647459,26.965907898954544,29.63497873406581,32.25043217316813,34.675952632664774,30.922352371306438,33.01389063649196,36.673864712919354,33.64416321545367,32.16509187493036,36.0223858096006,39.130577307128796,39.91310765341674,41.830054405106345,43.089670879662336],[28.49057443279101,25.32068832310246,21.26275337805414,21.45200827258117,18.916499864508182,25.03169935498647,25.497828034479976,29.003255101047067,31.45562954108143,31.257487449632965,35.03389904579365,36.98836871853533,33.59171376986162,33.97757194810817,38.291640064732725,37.654508890086696,34.245388853420316,37.61492851735465,37.79231810816671,38.281681218249474,40.60019903464183,41.7423208240589,42.596718506000634,40.28195909149512,37.58534622406847,35.91556978934385,33.59336955441617,32.221333215908494,35.105022559049075,36.02906907803599,42.19605793382556,40.5167985756948,45.09488553241173,47.440661540682235,43.43711141299474,40.7642107666672,38.62855567019141,36.391356451458265,33.59851538282175,35.7573810517227,32.933933081364316,37.25761380225978,40.22091006814907,37.99766005678456,38.58951141649131,36.22615892283402,40.17746400723124,40.48528341172763,35.744574183554796,38.45107446889821,41.72632828999548,41.74719209015747,44.10825791206414,40.29989548240655,45.31498373294903,47.54673458623877,44.46568955224695,45.50175035796034,49.98694950690008,48.84727299890305,46.75808584529631,50.260713115062124,49.83039375014874,51.14366655348548,47.454668765038235,44.68335893324412,44.33502559059193,42.98183523479391,41.80965746960856,41.96438650639792,41.480042261461854,44.90789623827857,45.99033883460215,46.95961197227695,46.25156428858372,51.76799071226668,48.07181171637306,51.35129133395753,48.355937454636305,47.1160945679845,44.52271281672841,41.20247798588559,39.95811863477435,37.1311590001791,34.04348506229379,36.344570189643264,39.404162100240356,42.0253597440823,43.152663764548144,48.17254499830652,47.37631464452462,51.6690340736047,49.53858208928477,48.15054233810016,44.01989794786979,46.349534363095515,42.613318287935044,43.005810969492025,40.521954639810716,42.02628100778699,40.410734292956256,37.69392282071338,37.067280638290654,33.40560679500929,31.86543717928918,27.76264278303292,27.815270557638907,23.98484066435162,21.89170595079066,25.51120697173348,23.510996033669382,23.72374172625686,25.282297816148482,23.669216953482042,27.642721280689532,25.810116497071913,29.19769907090073,27.708734836668402,33.62723199766261,34.35793775322224,32.81286954579845,31.237354248497905,27.113318095189065,25.49565261661574,24.66798725183948,20.48175561392579,21.447030152297447,19.656937822510688,19.12337937853475,21.68949790464481,16.332792555779406,19.210355223952174,18.518566919024174,23.095461370470346,18.327145669976787,18.763668500477227,13.189289342442654,16.1644725388674,18.022155698526838,21.029805534626995,22.41841774431405,25.942671910010464,28.173963515485724,26.065897548872574,28.606777820956857,30.008465758669963,27.48732915419337,28.843514929852205,27.846219280620417,29.00060614335984,29.712782216707577,33.24238310103353,36.13249372543902,39.4297255852941,40.34021908148178,38.26069823334988,35.68323242102506,33.35307774035744,33.56815603823942,29.168442717395422,25.914197737753284,29.974800344375993,25.11089606321713,28.30473824297407,24.220521783367026,20.158479208770277,19.33492227400177,18.15261432103362,14.229614766841767,14.794178333650288,15.846770595531721,18.652383750388072,22.86305843337824,26.05217152640317,29.586987166807322,32.14594538389864,34.066007639289374,37.26600090937316,34.14743694910746,33.47253049844495,28.840741315696032,26.990030011516122,26.467166193758153,26.283013825289636,24.598387431922728,28.96730899740793,30.774060728658796,32.036467456621125,28.906750186793186,28.26971660989801,25.82975663970096,24.538924794566725,21.052840861133202,18.51472548086734,17.716739689799777,15.840748153343197,12.75276822552813,15.3085838640493,14.608012884297974,18.120659404197234,20.142014145300568,23.2525971318416,20.81826420121699,18.897213550653298,23.163242305004747,24.024253705965243,19.966370205304436,22.513272967776636,27.70395288740348,25.92755197088362,25.418964746331703,28.80929644205308,30.338560983873652,28.334729186028174,29.48774262695191,26.046671596820616,30.177244405788155,23.932279730535026,24.046756354940193,27.873872640163594,28.319722707151055,32.89654898474302,31.760624069446358,32.52928549153482,29.827897510200142,31.157099973698454,29.069307520086245,29.764807239264176,28.31775717158474,23.67595294832856,24.649589085988016,24.63083340086665,21.035684373645584,19.21651116564835,20.26687629043425,18.268340607312723,15.363342336408635,13.931870955338185,15.86175068003118,20.007099888967552,22.915387273833126,25.617882259777783,28.63236117452069,33.03196679027507,31.37469790904021,27.69286546126808,30.46516717149686,33.81711125526938,30.28696014246843,28.97201369345489,33.612141944920204,34.201889655226815,30.82342682208478,33.483163023455035,36.542759529287096,34.83267945264966,33.23578040608717,35.392911845036515,32.03605899672747,32.412829031251555,29.93914652441786,30.553597928458263,30.768578914168554,26.187809488604632,25.55007291761744,26.206380879042733,24.666090849306276,20.51830569582889,23.237747031932997,22.983484880263095,18.78614430150013,16.95880337040583,20.205942542499965,19.86209272861911,16.946247802271667,16.254844158838107,17.438700674014424,17.771443692516,21.63840889531339,20.129632188109955,20.165432051650896,22.204529478073916,20.230437654700836,17.01046933317333,14.41848798441874,12.192237389752528,14.601945539152238,15.65913764309784,15.632499587322858,17.09940299530603,21.9462534916865,24.561289005876628,27.405566140982422,29.532889872589212,25.706138843493118,28.133177292327577,31.60884233798196,28.350521344577757,27.26904584377124,31.241548102846146,34.15227424615636,34.825930086998305,36.68273982274927,37.87931283550289],[27.78843486013701,24.654356735687752,20.898863902690493,20.01775176676366,18.338876109895747,24.019494597288976,24.353992474437685,28.265341263183366,30.044616122351165,29.552649817800297,33.2794261247435,35.693193837422996,32.25349249068374,31.995711324000222,36.552062602000696,36.26897821211712,32.649863178198046,35.969774786248685,35.85726245256315,36.87498318396035,39.01518968238683,40.53254630244791,41.0729627256167,38.63232245267936,36.20000831327233,34.20187614218656,32.239446026000024,30.733301433312473,33.849111866678825,35.083632664002174,40.83174145953971,39.71550255830894,44.27946332708116,46.58818034798438,42.744498920297595,39.83762825397317,38.16814870568967,35.723331331761855,33.06177624871423,35.86379648495276,32.427434564551966,36.363555554346256,39.66143570486606,37.66442794590826,38.1453161751518,36.01759674686932,40.1035366086868,40.410861124711936,35.87377513502205,39.007601892350586,42.27515693919231,42.60498008030018,44.75230561457425,40.76842885289256,45.78366649689285,47.8621001121357,44.430799285942086,45.35573699816511,49.92695015320552,48.648055753147695,46.140624218309775,49.45976708489109,48.93837771156444,49.917441233131825,46.342235586128076,43.64012809979202,42.68973927453493,41.381188578172406,39.70590258076322,39.849969979840296,39.056162835263954,42.28148961697855,43.75553675578596,44.85986411892162,44.55312369579513,50.27336479055529,46.90529213062414,50.40508171039803,47.672329567254195,46.682105579937556,44.42653387355722,41.37797318107739,40.45403664554341,37.89540737673464,34.476170732903306,36.394587353193764,39.0351227567292,41.8241129422361,42.368607098816675,47.45347203463879,46.23234043765596,50.31189412262241,48.11610714982763,46.862535255822515,42.61278987818962,44.733052128768485,40.87498840694474,41.894979513645225,39.57112158949751,41.52290493482477,40.04250676274095,37.902417395686236,37.2478267368944,34.0851080743818,33.13963161343293,28.937842028020707,29.68536840591304,26.126837711228738,23.695823601919063,26.80632967134353,24.194625436598784,23.91105653974142,24.66042931566739,22.70715255228155,26.096981000525687,23.92090546850614,27.30273512329931,25.44597988359263,31.325975941279353,32.27965209744775,30.383158683947165,28.906395011696915,24.496285229784455,23.217702414557383,22.75876671710846,19.163926404685505,20.934109821071633,19.685860265742708,20.02148047521041,23.125181238911996,18.306159001913777,21.87962023913599,20.95946150675427,25.16733974039638,19.844053659155662,19.330000347406315,13.911975013598779,15.432290594111644,16.272268795475995,19.660596713996664,20.247002406737323,24.155283003657132,26.457866537272476,24.61074932663091,27.63304391674502,29.046801786217788,26.395860353188645,28.01723573656845,27.475603591451367,28.34942383247143,29.67524095562979,32.787645664121946,36.21809934726326,39.15591769414635,39.84948948168838,38.01587539170235,35.199422374987066,33.38212955679513,33.263138632685624,29.488409503818882,26.00949266993753,29.710405539280732,24.59458295999266,28.22985538054804,24.400235054820627,19.830372925559182,20.132560529058562,18.91677473300663,15.348905581488683,14.82438701870951,16.51943950213939,18.6046648337282,23.394085697340035,26.676782562730526,30.072252557309042,32.82917256879343,34.15420864243631,37.90529338194153,34.77979689913592,34.54595121182328,29.866765028549224,28.209784512458064,28.308728421766478,28.313225657262947,26.12896814746082,29.99073808398873,31.161892550132684,32.762144903186986,29.147608095218136,29.281147545749867,27.211774070059146,26.002787969639616,23.095359166515443,20.852147109176105,20.596091925575532,19.33345956771016,15.890144464478702,18.7000086300902,17.763150110301925,20.59163195822594,23.143363677870703,25.690717857955203,22.706252588637483,21.15762823486433,25.601913402717777,25.680040685555024,21.08105534165501,24.332474882446775,29.532239877981503,26.82482973434952,26.36649421588241,30.057282186549813,31.111430909266357,28.581507307524305,30.147980623597228,26.80342695437089,31.52952310197153,25.44365233671478,25.97333099811632,30.029418409392676,31.125741449884366,35.61543240767976,34.957112793993886,35.89195376981584,33.404231391641034,34.94810564004249,32.738304683557004,33.82136292123213,32.353492334226274,27.40609276467925,28.602237467073426,28.938977744178978,25.180754773861466,23.271333387440258,24.5645184865499,22.71815388021778,19.55940050713475,18.104626092861988,19.463128915157352,23.45720161764822,26.62504150417755,28.986273942643138,31.92278964962139,36.24785160663043,34.23591389094787,30.463819115667732,33.32808894319301,36.38202800971559,32.44426338099445,31.22648516148565,35.741607198379945,35.95396675141275,32.462143831210774,35.556370568075934,38.330487330852854,36.093418710422036,34.83871846129063,37.36573439355073,34.18708064534989,35.007824685414825,32.68565530327717,33.74125748798511,33.619018091123706,28.686048497880414,28.703417634868778,29.394540446254002,27.443970555394003,23.556475214994702,26.855346655604492,26.14790489353701,21.539294138095062,20.50426388368456,23.899294594076274,22.91771218043414,19.632851698363485,18.020407266236717,19.23551172284106,18.523168849484303,22.726991341355827,20.442218900870706,21.026483146562498,22.34607594269029,19.746781122578575,16.968441498380923,14.773686849447616,13.007870608609315,16.41832579106325,16.64509544671634,17.44118280993318,17.78404516809252,22.778505623412347,25.708451036977948,28.791786823228726,30.417869182787882,26.155321205548532,28.76538022479925,31.908872627988217,28.06700639094601,27.025399287768206,31.26183015982335,33.819499570211924,34.21364207484327,36.185530762268385,37.422922359175914],[26.793599370009527,23.505640570076164,19.252515387042692,17.83280451878235,15.345942132965632,20.806802807728804,20.49280526480408,24.297869571915598,25.97698068426787,25.12728052684191,28.824890044512713,31.25761117138747,27.566520474780948,27.393672417330148,31.83120963030138,31.468898037504452,27.802672157868695,31.111875537308848,31.117462012046882,32.0965698351198,34.367842497569015,35.99359126335601,36.66243373148015,34.40431675329181,31.795362592341586,29.640065062696948,27.539072932074838,25.90377769785828,28.970830589352904,30.227207221720512,35.96727700045423,34.912055133167875,39.48154707709874,41.72997958062077,37.899800420641014,34.97077432553715,33.36920409465143,30.94604769098281,28.37819000257299,31.49353994865998,28.030920565983358,31.794592674011508,35.21635460877103,33.40603455562333,34.12683579788545,32.277949960546295,36.45352196588615,36.41853485995378,31.967290186050548,35.47986901751761,38.479406734190576,38.845153069811936,40.766674685155074,36.594487685883294,41.51104645464205,43.675389496311794,40.16563024699519,40.86946163356314,45.50207148839879,44.38478923002806,41.687220837034445,44.846156609789325,44.20220777052227,45.281774937857875,41.77288186878393,38.94681755621508,37.977926141429755,36.56267823604319,34.982027713255526,35.09307806518413,34.41063496655606,37.73755005055577,39.04161797237697,40.14334576604426,39.71634498909954,45.43351685628452,42.0806398264836,45.556413608396284,42.87250046763413,41.99183543154567,39.76199614530971,36.87505045441313,35.990523145503765,33.62641278093234,30.113877136416313,31.787776883445595,34.34299703158877,37.0934413390238,37.54979398121719,42.603480451818,41.35162610740281,45.4346299178878,43.24877912684036,42.02148700544446,37.810022073476546,40.00417581107311,36.2158726089151,37.189893530042696,34.977452012104976,37.159319972608834,35.44101948317258,33.59781387449975,32.72815474287285,29.89914255733808,29.173398973616024,25.071773751681146,26.387935981725256,23.07998674934906,20.698653151355273,23.349752401448903,20.63878753691048,19.70536839420124,20.322483877355108,18.03134028151745,21.331358701395008,19.10595355629155,22.47497019413584,20.77447426240184,26.72311736628394,27.50825698161682,25.72271154040777,24.24372923586756,19.93868485935531,18.623694254555925,18.341186104601118,14.557535242956071,17.023019022505856,15.567959850506593,16.346127890222117,19.483420405440746,15.342870723586943,19.392810901078633,18.212868278537137,21.906636509607235,16.291179663823062,15.111789993307157,10.082886940227487,10.702711212986458,11.40744191522416,14.844229216992904,15.817915925623254,19.91898940800022,21.875425919530098,19.860858171917638,22.933245347572917,24.20665974721654,21.526210610826773,23.211673324185426,22.8532037860414,23.87867459876165,25.556101155828266,28.71507820611116,32.325930128948116,35.44421332827581,35.77401654898933,33.78334447949912,30.770429093190355,29.08797096594927,28.6647206779427,25.128163854089696,21.44952093414633,24.98989300114305,19.890360634314764,23.712568008905386,20.274877310226586,15.787464309510856,16.649619020328203,16.15652346311091,12.683197252407716,11.090737684631646,12.738087473709156,14.196366241802064,19.172166367157192,22.383982960272757,25.647608226595562,28.471594293147454,29.534678127278042,33.49334414867004,30.401785644154312,30.399969493694968,25.81455243129226,24.21787498130397,24.8343324522749,25.143270166141985,22.624538922832244,26.248957151033043,27.051763186707188,29.140530210019268,25.668830511463135,26.148413555922357,24.510906701953157,22.951018472011715,20.586231044173353,18.41594867605646,18.57165724987645,18.05605130744211,14.266077788844145,17.32501766385605,16.69209512130767,18.60188375454213,22.067349785362598,23.936344808676377,20.627230266637884,20.171570212957747,24.682032837454287,24.134754796698417,20.045659964846216,23.883596751610217,28.558412940654048,25.62576167658492,25.818760843465785,29.59893016872581,30.008239305023405,27.82953690024238,30.056701420805698,26.97275488645403,31.85206645261285,26.693138208525333,26.634240023951655,30.674295317208948,32.1728242730735,36.82410491705996,36.220553115659484,36.54555436353193,33.89431518493487,35.19145040037025,32.38626060292065,33.897547464636716,33.005758291804355,27.557157936439676,28.4510279618221,29.604674633663237,26.103556412003933,23.535197513336236,24.773007413605573,24.101203671380045,20.8825633234356,18.18386275157348,19.26687312873016,22.182726031539083,25.7328613691817,27.97809802727235,30.44600957689116,34.871096307792904,32.23535952084315,28.521886981008272,31.954138716225398,34.54375121494791,30.272689915173217,29.65912918723877,34.13816369574168,34.076232710044806,30.882589027244567,34.45744690443465,37.0092791130121,34.624144780649175,33.991042933483506,36.76450251214714,33.80240925138531,34.571340475913814,31.94532415054383,33.51545411253149,33.75015521515684,28.47491391293302,28.614643082003344,30.01643033948865,28.063749692308193,23.926586575689633,27.905057207506008,27.76270523899863,22.80563575658587,21.746906929366165,25.903395894316464,25.307298149762094,21.81430492082542,19.683870372755845,22.017769855148984,20.949805828639096,24.61774760432207,21.536066116931757,21.356366937334162,21.80834609814067,19.89909061092959,17.15358956716426,15.945080371041133,13.487272785822281,16.34340330998511,14.912290065663834,15.385058861111425,14.668462142445422,20.439736836186082,22.977508652502884,26.394424254882754,27.392308363338106,23.23677032693047,26.503099806320524,29.213199068775523,24.909016675166026,24.787952167242715,29.137443441055673,31.256833921849104,31.401728836043365,33.21527449260501,34.281689056442616],[25.60634029546126,22.280250762705354,17.75491313509461,17.70904524542718,14.479883172381843,20.577615749205428,20.771073900788682,24.19297446755198,26.705357262910944,26.5161936677382,30.29378615665185,32.142819046041026,28.80109297717889,29.34948489333072,33.61579903119778,32.94870709483693,29.708952091482256,33.25780283761719,33.82738720254371,34.3043707925939,36.90938056813469,38.25960428162774,39.33387502828011,37.30475151355623,34.347841020346095,32.399808265154256,29.81843275093261,28.11379733247075,30.740127560556907,31.43360142893476,37.60929564860699,35.79789034032755,40.356125404409454,42.8397901506276,38.90203474958106,36.36223646410057,34.143375738418136,32.262004890343654,29.672122865130028,32.2536506531254,29.589092190939695,33.69050906698903,36.8209477928743,34.860010384106026,35.84592577210955,33.82269906250058,37.8862306669918,37.71007814318854,33.01872097655615,36.17567499860802,39.07785622441664,39.03048882070662,41.12406140277043,37.01731605993577,41.87895899103299,44.36355298011425,41.25120806748252,41.911892528200795,46.50477698845755,45.69498559313211,43.36190518453506,46.59007147444606,45.90181130865984,47.46467110424729,43.9043237801247,40.87849448211984,40.481905724412925,38.84035031507023,37.77333042517041,37.67846452378264,37.36480270860846,40.874186533323666,41.76736586952961,42.91813357210652,41.964538293106045,47.53955270373098,43.931065940164856,47.08387048525676,44.18586366400042,43.17281746828975,40.45393120178352,37.393201066495834,35.93627077831999,33.40282369428731,30.332466594401886,32.27292457356855,35.39926557021298,37.75433189246986,38.94507399890941,43.76671816214953,42.95305414667867,47.23562480333501,44.98679642325079,43.4750920719409,39.31163443052575,41.62276785220884,37.890302173706345,38.18055853461816,35.652104867172845,37.150233743377136,35.59418158044087,32.9388188066374,32.41924024257215,28.831438952722426,27.69415899476774,23.407641164413434,23.867790159525512,20.270965173645724,17.86951180247801,21.160293588522677,18.903283596728055,18.944361382297007,20.398951121833193,18.877353361146877,22.977047465165434,21.403880098695947,24.950744520930513,23.89608772220729,29.89920066945048,30.191777724696365,28.699664625575178,26.911092732574733,23.00407517900502,21.091026696816115,20.036810402017238,15.733920402600038,16.62081614206718,14.826634022498661,14.550502802200834,17.52899611680355,12.510563715276627,16.11033343775959,15.631172323095287,19.698200103544274,14.724624972054935,14.482706331170315,8.861372269536997,11.786307451445515,13.91320137526268,17.029383476681797,19.20901409109518,23.00706484287519,24.667468038919772,22.223535760043045,24.783426921392877,25.757463931872245,23.10237172931659,24.17886659834443,23.076126405635048,24.12209588673518,24.889096674231585,28.403876100718556,31.38875853514835,34.73250756867134,35.51272391681692,33.414170608199946,30.80681435677751,28.544801696973142,28.776489954632638,24.497514658791776,21.420933125885043,25.627354666028467,21.042172027956546,24.497989298241304,21.02214147958449,17.261086261747508,16.7828101378589,16.635186494284167,12.517297531480422,12.063917078538772,12.639121481288802,14.85240457006855,19.156379736361586,22.120278347300587,25.46967392915728,27.884368730784715,29.574903125160763,33.001910778361996,30.140335887721744,29.57729998643736,25.242284834503195,22.989490168830102,23.236151394154483,23.589621458686015,21.650140328893038,26.074856390623435,27.591063415785925,29.53839256056007,26.74876009747233,26.349387598657525,24.336202447309756,22.464588311512234,19.39548221673392,16.62674213653366,15.978253364910982,14.631865839244277,10.63549881096126,13.179673625178419,12.226355285824638,14.792814688824867,17.716012684544577,20.107869475852773,17.202448195627646,16.17171131669782,20.627472561804083,20.76847489193324,16.967686779222113,20.20364292845666,24.993417483392925,22.85391139764948,22.913798960723835,26.453087256548592,27.37490796747636,25.62900732617102,27.414887166594728,24.207859846189546,28.58747511466846,23.298457429070307,22.86929946191172,26.759412447677178,27.83280322887473,32.57341042182003,31.67059712829041,31.88601149884373,29.136889593575983,30.386905015380922,27.70819562418939,29.08919169020009,28.11615207229992,22.753820359218924,23.687759653836135,24.747361596651533,21.19927967459768,18.67967397007023,20.0773668025309,19.332843678286213,16.03579555495574,13.528265960505887,14.494327750043245,17.87914841117186,21.243912585306806,23.547327350432877,26.261681301621977,30.663002761312498,28.431228765598803,24.688122072301937,27.8552160576875,30.782401168910436,26.841624556546304,25.93863733839739,30.546758303498283,30.833069389350904,27.614776527051877,30.782080112229718,33.60962833828452,31.665702763904907,30.628384327669288,33.093445628122936,29.954295198820887,30.427234532628464,27.739684354909485,28.997063548711655,29.384881279829607,24.3262129766259,24.06728039803421,25.426131333391336,23.703552344606372,19.38002087545047,23.1248040588273,23.265425131973608,18.488845672748976,17.01494430662746,21.260747424345322,21.05987093065129,17.734221445226005,16.11108834452337,18.705023742880687,18.35545313820625,21.64917007271544,19.15842073855444,18.43794492034348,19.631295392490447,18.300627372176073,15.056190384135592,13.473075463469291,10.481520914156306,12.506920846557936,11.955439843497668,11.875630118424192,12.550819120923999,17.945064834989186,20.415701051137805,23.543625001504303,25.23877314428994,21.36424393073056,24.24668142259325,27.44230256753155,23.876431332985046,23.368764188096563,27.449835308248566,30.07662695609578,30.602969456036984,32.37064194905883,33.48454718903127],[23.474541423990846,20.26273427292816,16.261557290670545,16.19876954166052,14.170047460296695,20.143734480974743,20.979723368757455,24.713463053595056,26.993365215441727,27.190643619185362,30.985602749192026,32.95814486280197,30.060784949677632,30.261908060891948,34.81397139758881,34.45051402642372,31.34982093280892,35.102912084612235,35.78643245270137,36.61674854677347,39.263479862680356,40.904114862318025,41.87310017674184,39.832761025397254,36.97037995152982,34.74079305258082,32.2694870752889,30.287575424037335,32.84152284859162,33.427473666623946,39.3639092021044,37.63562084381868,42.13716878869529,44.853687188906854,41.0747203556909,38.59616407528317,36.460397978137095,34.8384384810498,32.42655075214032,35.37467679705512,32.583622903167466,36.455571118088926,39.7758898153508,37.962798396855305,38.96955854901239,37.04520301039403,41.15527489731777,40.949318333068675,36.31518751319978,39.604693048170795,42.47355735353073,42.45585883828227,44.473042376604134,40.256122666912,45.06309074316325,47.61265361153501,44.41671089451884,44.92096831637326,49.5757362981665,48.831426622662434,46.29278196716327,49.350057133387324,48.499436663123795,50.02539285734888,46.573055515127436,43.47472571158131,42.717876018020576,40.91882904266297,39.54595611402829,39.195177018989824,38.74206365604294,42.10716827527886,43.24576579235001,44.69813442077778,43.85119258631736,49.62324183663809,46.267743866246704,49.4237201035847,46.71060571264467,45.930581948785445,43.22176526492208,40.37724621955059,38.80743619108539,36.48827678329335,33.420476225054685,35.08617370740493,38.15253444623244,40.34512007756466,41.40950494745466,46.07252099787601,45.05280293284216,49.20101672228634,46.75684293635266,45.12841532756517,40.7989894778798,42.852096862347416,38.94204896095812,39.545065007980604,36.88805079618515,38.26163596692544,37.254892452973316,34.56598930110287,34.5116260122606,30.83653891063365,30.200507758493693,25.606469169607426,26.00563197731958,22.581551360650284,19.663241111031233,22.847258804248053,20.131975287441474,20.6834281017299,21.5771438271591,20.445443790044983,24.3667845095915,22.907390696069474,26.68028923470562,25.641555191701396,31.691495400225715,31.85451764997136,30.032143943255758,28.03772074842374,23.994714454051298,21.99390053699006,20.673122971032797,16.988538381467684,17.362688875291667,16.42916431428899,16.458958640047932,20.02928975605852,15.063006822790497,18.728499232359347,18.79379946048662,22.693189438044566,17.899125098581425,17.28165079220205,11.714976521012412,14.189578080519782,15.807602254144797,19.330704316991383,21.275806885295165,25.43009129845777,26.998522619624705,24.57409896741641,27.41356434235539,28.125758912853733,25.28372543039442,26.132883875165003,24.965165814804454,25.433811825298818,26.105901290053215,29.19273773281661,32.28940923059179,35.13229652013143,36.22746886262912,34.53124947196294,32.0882966868481,30.043954597577034,30.566678331617084,26.53619261603769,23.88811608992514,28.17606800188548,23.744904458378034,27.468882583824335,24.275588051567215,20.40688600323939,20.261561329073636,20.074804281771627,16.016825624472208,15.33127430344805,16.01727005716861,17.876813581841617,22.310560744907292,25.130571671421663,28.315061129447617,30.54577955495986,31.98611277572108,35.63377327098016,33.04771774744588,32.51584809314361,28.422637426148228,25.829417023973043,26.46063220017534,26.99695369484411,25.076620943808706,29.512681375509636,30.87723044233494,32.99719732592713,30.127229580526866,29.884826969781628,27.895773673597112,26.032020043220996,22.964195544105152,20.141963005464802,19.330062221271778,17.659511095156553,13.568313746813574,15.515162413070174,13.653851954775398,16.23309812134577,18.558144095629856,20.929012271211143,17.886863725911887,16.11862641696394,20.569075752858147,20.55155704588784,15.919443385470593,19.189172567039574,24.35391168070019,21.716325116630372,21.32067660497351,24.981374048687005,26.05555478959675,23.76490554501824,25.350467332987634,22.04214169204473,26.68756437524578,21.01964003010563,21.17358461731709,25.233964478474153,26.611443144169975,31.190993626509233,30.68477697439744,31.418214678633294,29.032817582935742,30.727450021455287,28.437018083552516,29.999596560241738,28.51531046049372,23.189165290254195,24.7416051876269,25.662263510504765,21.649384169472306,19.614399223158287,21.593587529959517,20.08737641552954,16.380682090530076,15.255453160480586,15.355931091447736,19.693857422213263,22.833351175972762,24.622751088697328,27.72316326810592,31.788051831630067,29.87277984168818,26.020873651001168,28.56450582492162,31.595882057311787,27.640551017326786,26.212455955387167,30.66899130518736,30.869573209182192,27.312333479980047,30.399530000645417,33.152421938478064,30.940426211960478,29.669331438782898,32.22206695013393,29.083946139398574,29.98028382711014,27.716364093059696,28.995199152819506,28.765371764949183,23.6707009498088,23.975270416909748,24.833327129141736,22.726277874858802,18.875264454982638,22.74545754724514,22.103683099901364,17.140346550007813,16.502959314210916,20.50140792077322,19.51772700443239,15.935759824627132,13.810697301852079,16.13705393505524,15.28321693901006,18.8839440319041,16.291361057060875,16.233450307728912,17.57423752423778,15.553360630946385,12.452899340088662,10.546959061443383,8.149690406724261,11.328422044921941,11.618048769944524,12.775569698668106,13.515426203873858,17.881413243881426,20.991359598640525,23.892566215552318,25.81526531178381,21.532155830818084,23.838818794962975,27.187532046491096,23.753740924937443,22.394764097843133,26.503090244358777,29.302560300626872,29.911978669860645,31.89051240765347,33.198680620115496],[23.594412436038677,20.599994086373965,17.135147440555393,17.856367673681003,16.429256139365542,22.359541097241802,23.74812790832667,27.395299371938965,29.857210601659606,30.45437554749846,34.2457289817132,36.06105997777319,33.474913847436184,33.75238859327949,38.33793291505456,37.988497392294406,35.048144106846024,38.88377112292682,39.665463297131296,40.44981497173253,43.12685605829437,44.700429744071464,45.697362011387824,43.629049873218655,40.76974689442505,38.61032180857637,36.10433002392409,34.12357241207836,36.58717251132331,37.01070585063174,42.99710001494234,41.06498960342142,45.52936263030949,48.3734336264049,44.60073688561011,42.251890492608844,39.94913357189172,38.500565865381674,36.074768827721655,38.8039036972596,36.20264555862947,40.1920884868478,43.416327717503314,41.50699868228551,42.47620163543983,40.40202069185749,44.4486084245008,44.35331523656343,39.63551644321274,42.6768261850701,45.62732840506667,45.48374803545824,47.63177454533064,43.50996664241669,48.327592409203255,50.93294562458949,47.87161494166214,48.436747749817044,53.0580546009589,52.33836095856978,49.947982209652395,53.06561893442921,52.22834207563758,53.83243026925582,50.35530537811786,47.247199134253535,46.582748247603185,44.74738049597458,43.4089897333795,42.97809082651368,42.54414028935898,45.8845295164095,47.035596845615665,48.55704269752668,47.64523245213836,53.413979148520966,50.031191457575275,53.107678462681065,50.351801674314665,49.52975626794128,46.683868640249905,43.766381634661855,42.010036756122766,39.60751695655538,36.71333142865676,38.50375314416577,41.733903313068296,43.80623755108162,45.07881849948248,49.65632846166446,48.7330428765931,52.90221237741783,50.402455782547435,48.66504957971379,44.31330971622161,46.30695421495563,42.36231272320679,42.85870679811846,40.05508892337746,41.088836017962315,40.360819242372294,37.31833523813827,37.55658626456161,33.536163075640346,32.78302252564383,28.10977919029062,27.95143243971706,24.44166857423877,21.486603242825637,24.96577627591813,22.43136740834941,23.62598780089152,24.667861647260263,23.930159467684522,27.977596760073727,26.689031305955215,30.51556876017996,29.534372867363246,35.58527139714862,35.69628090615293,33.84343036179298,31.759860600960906,27.74513275674012,25.650230638772623,24.089752101882116,20.538062695359812,20.206755233410505,19.460552799844475,19.08204223385564,22.547529450001974,17.253184451263543,20.362693803231654,20.86816581804176,24.96631840408381,20.640559607368385,20.48973306207003,14.894735009516994,17.90686876648215,19.68782187995469,23.172481142729364,25.12381236677513,29.20976718874283,30.861923068741586,28.42469534659564,31.17885854363984,31.855915652579906,29.018901320073795,29.679567323569113,28.26643944937303,28.572139321571974,28.81284734707598,31.835727889681714,34.636014973027585,37.30832776863826,38.776116912565726,37.22857506374817,35.05585525669329,32.85581962319052,33.74460032924544,29.507761991941564,27.20229823488064,31.678491437568884,27.393381267953526,30.976045973574625,27.656689127100158,23.890040066117702,23.307636736733976,22.888441580648802,18.751499924237763,18.65685139673507,19.208896664198083,21.389279992956627,25.583343515432897,28.3294718653996,31.536246072129433,33.58095432794548,35.24857168895564,38.66854455328455,36.19707059060448,35.41694278120273,31.427865524500454,28.62027715960393,28.964665183918395,29.393345340687826,27.811194764242657,32.50784878330499,34.17863853023382,36.066613114986644,33.29712608474324,32.71424072565681,30.458824890597285,28.689362231847706,25.248795737736415,22.29696212416642,21.067611100127674,18.770274290284434,15.020083481963205,16.366250938113975,14.068406036547044,17.268055263947154,18.532207219229505,21.414200988255295,18.81348856400373,16.01161835264423,20.19348893322163,20.799026420004758,15.925803331609899,18.394879381553668,23.916461758672686,21.668364708565907,20.672545395392664,24.118130929494004,25.829537590410148,23.393198656749544,24.2763070541669,20.77840575625915,25.106535981356465,18.69072060101166,19.285140376435415,23.289957236439324,24.303199454852113,28.730823548440267,28.204546294881712,29.4530085902285,27.275477171845882,29.2372350165708,27.520861248743596,28.815436566486458,26.79214418894476,21.90999770935305,23.853604102527232,24.18116926440674,19.880271129113915,18.526230910962628,20.770668748827124,18.26882154423154,14.47375349043987,14.87513644694283,14.755368363425431,20.059131577843754,22.723550657810456,24.391153383236713,27.90149712584102,31.724189671709503,30.43552122566293,26.597600384772676,28.475292478660847,31.87504850255154,28.306925311532627,26.30539462866294,30.694838486166933,31.158242358738022,27.392112418093962,29.9491751081236,32.877649951666015,30.88176384661349,29.030077001719352,31.297329867454952,27.995897796430995,28.924001153347938,26.99406441969205,27.814365665473968,27.222693737508006,22.511244475911187,22.752534489290777,22.9380720561107,20.8247012557139,17.31652430400666,20.594700566124672,19.400412670392118,14.743665631370005,14.293647310447037,17.652764819334074,16.256916819870288,12.787792342332503,11.148790915111489,12.640274730679907,12.280957846148668,16.158332537539135,14.477018558915946,14.94341308912242,17.232901236023384,14.886276530423183,11.754275370056593,8.83917882300905,7.247657376051015,10.57255840890611,12.703548147998978,14.080369122509268,15.79486950406761,19.092036694575878,22.41808478969276,24.87218624853108,27.37782124793491,23.17004517173093,24.75460629077475,28.463465683050863,25.64568291263636,23.496186360357058,27.32856969800289,30.530822822672576,31.417700811218914,33.477532179192224,34.91348457973901],[21.3697560482325,18.5223402468766,15.708521859711878,15.896854661687748,15.779100712668352,21.201601109968212,22.94932741078057,26.88487502540795,28.894064748412777,29.67003277077851,33.40645032217063,35.43476414632346,33.19200463984229,33.02881369539615,37.84586504759279,37.83243781076027,34.980698434344625,38.94514720355869,39.7887102254096,40.97924754539024,43.67136070709155,45.60007351707099,46.46563992809946,44.419876919709615,41.66722659945951,39.16978437946399,36.81410930838042,34.55343787248695,36.97049896877208,37.377582326030264,43.013580003203664,41.323254029580575,45.712728981504384,48.718986017588634,45.14301710466116,42.792225033476406,40.70551377209961,39.43277487980143,37.21972218689644,40.471491922839405,37.623730198702,41.27675761329659,44.757626400528316,43.07800132014314,44.10263652701449,42.243721333934495,46.381214025289815,46.1673222290916,41.56994090196028,44.92953379280404,47.781763580313594,47.750929305404895,49.720252290262536,45.41327811728249,50.156488918994604,52.7946190823439,49.556567488731076,49.904865145143766,54.60727638968274,53.95032939460199,51.23551953741814,54.11180776563643,53.08251287788494,54.59516112291768,51.267375769330116,48.0912436038218,46.973534123720825,44.992362681940854,43.30462031690706,42.63642035260116,42.04097106941941,45.20346098153687,46.612574071906884,48.426240611392465,47.6763037459238,53.63863029325528,50.5761735725434,53.694205456122624,51.185938621696565,50.6568415386199,47.92047696603646,45.29876803455862,43.553110617263954,41.44374009383862,38.44250202548996,39.8504002259076,42.893915450026064,44.85884675299855,45.84921317530362,50.283779679921906,49.06929521077418,53.05072092633999,50.376291017055074,48.58615803467576,44.09255738827152,45.8106933961006,41.72117224383928,42.64130750928482,39.8158600630406,40.919340125192015,40.642024549857815,37.83156872501167,38.38530252251621,34.54688867213857,34.41726041030763,29.530643011207804,29.700163622970827,26.484269722670327,23.10301824146874,26.177936122668058,23.11064301257799,24.36584850834206,24.700993571098124,24.135209292865376,27.816710627357214,26.572954257863138,30.52644333356398,29.551488631942682,35.56530369786397,35.5588698652842,33.3921659626745,31.17161427726451,27.08610331643934,25.009375796283827,23.35821136556654,20.51192094598158,20.110657838331345,20.144484903456927,20.3401344995623,24.34484416384469,19.443743549009934,22.939381954711795,23.611754369901753,27.377029241297482,22.911919331690505,22.1101957513513,16.68971013098965,18.911989995362877,20.1008282858207,23.885119278067585,25.589996553810366,30.01115146983193,31.483440297247665,29.09582511881087,32.154222153402465,32.576567102869745,29.578700589142016,30.118149246699858,28.82142126035362,28.617727762075695,29.034558485241124,31.554511500545438,34.632388685552456,36.78503636351126,38.3558094344115,37.1996053491827,35.06507723701955,33.24511935396364,34.19483193730221,30.420396179128716,28.34978668889428,32.73428728782195,28.547151532165472,32.46269669242833,29.52316661891275,25.613594707309172,25.628726590304925,25.362667434903557,21.3284348296703,20.622434952323246,21.341028203135537,22.988912877604466,27.432941677377602,30.077429590695782,33.086043814890466,35.056170725806275,36.29250818973597,40.081122809059885,37.83598985995962,37.26493177901086,33.466554312323765,30.48449072909677,31.41146749641153,32.099380901662244,30.293722051915204,34.8158787557552,36.11868170677289,38.35358209943474,35.438931237442176,35.251536675008786,33.21474005690196,31.371604719760523,28.20577436860325,25.296540137584152,24.231437610270422,22.1392740137713,18.116761265080754,19.35786085763704,16.636204658986777,19.235661854796845,20.537465462975803,22.917049244580568,19.977149048007433,17.179287013523286,21.291511557200064,21.2510768564053,15.74393944263696,18.60747893055028,24.155582560850117,21.0612118731652,19.849839695269733,23.487912658822275,24.93880530713917,21.88655916260022,22.90575764454294,19.482065975783193,24.30590915288939,17.991071964979668,19.186507907610952,23.340636283566724,25.018731852146583,29.216025051453897,29.273189600710488,30.833680086125224,29.039192871407717,31.333207673530218,29.72339147270062,31.403271712639643,29.189207106530034,24.180194922955977,26.518974081202927,27.10766680582493,22.601978805103368,21.39158557253483,24.0157373104321,21.472332741158638,17.46784944852048,18.25856175724934,17.40029754369774,22.775323224836008,25.463581471268103,26.594418512166133,30.17102129491768,33.7040755806422,32.360533249876866,28.466210215404235,30.0443455957292,33.24021446852034,29.456790334221722,27.27181962088617,31.411122990685573,31.575791598041427,27.611965274424367,30.36680729942352,33.01729204706833,30.560196143841825,28.831539571855583,31.36556106612112,28.250797579245837,29.702008246631774,28.136559900515348,29.2860729311362,28.15356995994642,23.2722980697174,24.28920038950882,24.28008872897775,21.721425878448553,18.79787277497289,22.49511928402311,20.65280935117165,15.769441228903249,16.418455865678286,19.67083850199134,17.489979392398595,13.75777905111676,11.074697208308942,12.506239966718411,10.831080478981722,14.97273164359603,12.579687824775215,13.882523307516545,15.683587421685553,12.501004966100409,9.902083532577791,7.191116535904721,6.8381819507447394,11.263129333793376,13.105740006812692,15.532731183525891,16.548718703656085,19.186509108305025,22.96048627968196,25.361128412948016,27.668021842517742,23.06778475842838,24.356907724987963,27.907641267038247,24.938211666362008,22.290161376682235,26.204927399490547,29.291004563845302,30.083088496749667,32.309857615024626,33.88195576817627],[23.29281623877597,20.560368327669554,18.11642182746234,16.993652028438234,17.629859849498303,22.544078361068753,23.936368809241365,28.20743194605305,29.51003866440775,29.786352574005395,33.43976714602543,35.972282851172224,33.4884817772739,32.68203331498897,37.657701580377335,37.92850314913974,34.745343538220325,38.49043894172918,38.8315387117531,40.44891990957787,42.814428717286546,44.936255841361955,45.425817897536874,43.160219094170124,40.76347574182665,38.15055730403669,36.24111641572598,34.08192325883062,36.84719362514541,37.71063407839508,42.96622459362642,41.90948716053245,46.30411262120664,49.11014304344396,45.62245243205967,42.95278854092312,41.363503560625404,39.63432705411927,37.41734895063829,40.99082969401392,37.53562904854172,40.94893706817702,44.61517892213054,43.010323057917574,43.75564058779423,41.967363108699566,46.15528210334911,46.147984417447816,41.72929066221379,45.26358544930307,48.266032165676656,48.561815335632794,50.45497239617749,46.14803745615564,50.96533687723508,53.312405773987656,49.771258082714134,50.22134042565451,54.93211051271108,53.972649006488005,51.01584063399911,53.869198720064794,52.914205195725096,53.983347238468426,50.695691795130564,47.732668362568745,46.14017214503317,44.38545634569012,42.235568171935284,41.74581793648032,40.797512978593055,43.73837932715743,45.56050577770375,47.33542623959384,47.081193767180295,53.14394648214212,50.31128129331919,53.705144130241216,51.36900048884799,50.917510069755465,48.58632885062275,46.05420250483073,44.77419425144721,42.725912524191855,39.38790111964084,40.6665347076061,43.2704367122054,45.57739390611082,45.98096532598603,50.61542226265771,49.03944350664098,52.836328620620996,50.22237846757964,48.6805424993822,44.14859139562743,45.73932632042077,41.594147135322004,43.12563062699571,40.55753504612612,42.214796427971855,41.81540790489328,39.62766316129911,39.889908651113046,36.59637917730762,36.67220697878368,31.90996060029558,32.65945170814502,29.509718631734938,26.193812277003527,28.94669403968576,25.58614916870285,26.12142004829962,25.894550788068585,24.770129300444307,27.82470627121733,26.096449536342643,29.871017920180442,28.369015506365336,34.22586502518799,34.65712965420201,32.21792626853817,30.266654216220093,25.87632266870927,24.32348054896466,23.265133287228014,20.91255917818247,21.626885488482852,21.830712411339295,22.659570679311408,26.737968638251523,22.151862712475168,26.010087846550427,26.082274008214764,29.833187855718762,24.812674856103655,23.563203419316277,18.277764775085426,19.37829550208079,19.66635285995708,23.58025178097131,24.28972345258812,28.801148953393596,30.545586748329885,28.559021734411,31.957891599491205,32.64173595328143,29.65360331753588,30.653850268562447,29.907426416191033,29.699066198734773,30.806035649658174,33.063341252638686,36.64575447324486,38.60796560489232,39.832930919972036,38.77721515808795,36.319451588568334,34.937854399582115,35.38441477877449,32.11819587598137,29.556471135225408,33.471656579825826,28.89290871101444,33.01169515057574,29.992175677120336,25.590791807272375,26.35190223755184,25.696410509301764,22.03319674863025,20.88792379289679,22.256600669673706,23.604616765465742,28.47020135969433,31.34700793024016,34.359350652065444,36.668564522099146,37.496759530270346,41.66059732164796,39.18023492247425,38.99499306109598,34.91717259652085,32.44445048527676,33.479891369629385,34.040405665547716,31.852362837773068,35.86869800216398,36.735461772426454,38.94853551172579,35.49045408797054,35.86958283302413,34.00164345492691,32.45970543653502,29.64584390284872,27.09904636898917,26.523709296417483,24.889215633890696,20.911449234615418,22.79051902695733,20.512267390973967,22.894957858768493,24.75301950347925,26.889931910706906,23.65334259870792,21.37335438353815,25.58363381368013,25.099105259267823,19.48449638884717,22.793918022475093,28.20323599735965,24.534491748730847,23.44343066941167,27.226918939172467,28.25833652048887,24.80809960791409,26.158114244516423,22.90080998557348,28.060693719312432,21.9007229702374,23.432277719540274,27.613963488911725,29.505015615121117,33.560360816855116,33.79645129472788,35.46518273985242,33.695925329720815,35.961730397142446,34.24889621114621,35.89463266491694,33.760985886438995,28.748675435439498,30.921252781792933,31.44837479293018,27.047183238071504,25.725828456674584,28.047216330627226,25.531797020535397,21.719891033125652,21.994979073330384,21.674061637608418,26.669333942219446,29.584993537233245,30.90056798418564,34.302426405481484,37.974856040978274,36.32145503717587,32.414230222297974,34.30395998675008,37.30391229357418,33.27263665450031,31.34003521467911,35.430688296150464,35.35622360119488,31.421712708453583,34.471261363697344,36.92505252339869,34.13804037578783,32.71491835120524,35.4585862503423,32.48183479550076,34.11258882007215,32.553886455572474,33.86755788725109,32.69070321545596,27.712609914354566,28.880007893829518,28.918555140224154,26.29002140411449,23.42673359194635,27.1306765264675,25.181650586673925,20.366180727676344,21.011726334116172,24.08450101011757,21.753639110823137,18.1341432129712,15.40700559287723,16.222588010918848,14.056717423651266,18.467550199392505,15.748653771882452,17.622357171252677,18.69740593420374,14.92555417583823,13.048778546395093,10.948452143275347,10.992683555915274,15.595858838719991,16.512066461160998,19.013634158210927,19.146729956241806,22.335706204271386,26.120403032833902,28.793025160399733,30.581005612197213,25.7598132458839,27.388187750543622,30.554101549763445,26.975956619874967,24.61149027136757,28.746382606668302,31.403519672301083,31.871328103262126,34.15580513463977,35.70726268192712],[19.692637637035457,16.820389225631473,14.234594613659443,11.970749152137078,13.164182543030082,17.394821756592894,18.693100677627626,23.108516085442616,24.013430033524077,24.35578414253336,27.94499873540427,30.56016412821949,28.35869438397162,27.34642511442652,32.41251578522657,32.8949842055843,29.954387749492348,33.89375718428631,34.62990157996294,36.481808321994585,39.0817145942453,41.5783972632984,42.18775281732449,40.23614469059373,37.698389676578294,34.66583992263147,32.659708380039675,30.052648254982774,32.503026321950195,33.15190293442167,38.089399985333635,37.11840061085617,41.39658207178813,44.379923674251195,41.1159326206511,38.58657451521082,37.1147891043048,35.828267118501486,33.981760718080544,38.17197104202562,34.77376856665436,37.698935573529525,41.603404241291784,40.39290116196423,41.49714665112279,40.15968030670009,44.41948511192341,43.926211816723814,39.70654199129277,43.72849074819692,46.30745546017988,46.608778811745424,48.142147477856916,43.549316885474354,48.118629483478635,50.65973041917702,47.037901229706804,47.03050223860254,51.81944182262402,51.19569118036215,47.875416254794594,50.311565428886425,49.025464002260186,50.25612356480453,47.20583175639384,44.01011988161947,42.118596351422426,40.029240863609786,37.779016104917325,36.908032640988296,36.02492938698981,38.92142588531866,40.706741878286145,42.81647666502332,42.433132232440535,48.61815909689837,46.07770236895336,49.352221606408136,47.277133605530025,47.20619307379447,44.87730839855163,42.79474913342737,41.384335740382745,39.812520965148124,36.488258059522146,37.181550167145026,39.651603713330516,41.63167469327369,41.88660838665518,46.206443873900454,44.445150807797056,48.084117536557486,45.28385942236614,43.62271839609219,39.0090165951113,40.4030513484829,36.192385233586705,37.922617367739555,35.35008333635061,37.09923446528212,37.00778435045618,35.130546323857494,35.64301783581191,32.66833851895526,33.50076255982201,28.62671899172259,29.954405377898166,27.309459948233876,23.65519263849338,25.695061237882882,21.845918029111342,22.170168281182324,21.193471294682713,20.288286647750635,22.983846751177957,21.555225097086893,25.48642436424673,24.426395027552655,30.219720002940875,30.144619109068564,27.556160177764948,25.318410489536724,21.12437663200684,19.33146545816159,18.024421497357913,16.39806203714094,17.075673796917254,18.040063035460804,19.590151248073635,24.131036662544297,20.431397643203027,24.767722424692828,25.051390506885486,28.038510178212995,23.061067899589926,20.909095969139276,16.33837027549876,16.42806912112898,16.230778845452605,20.275063750651338,21.412891124578152,26.246381651270447,27.290546558473462,25.11298914838996,28.644935304637933,28.75233645134737,25.618752207454488,26.26755565550477,25.588563569628352,24.888632267206628,26.242854849654023,28.05598331314195,31.93574920877738,33.59946472685826,34.67435314856033,33.850907320792935,31.377104419157103,30.393045654246936,30.825591505098387,28.137043131659468,25.9626602586122,29.750450874459943,25.643249070391093,30.058879642346596,27.912149651187715,23.865043385010296,25.237770720222315,25.429035749657587,21.89939941666518,19.804058207630145,20.863921797000057,21.258500493734186,26.077262151054594,28.5726746576885,31.177707846420553,33.264273205786274,33.55625861859236,38.079843314232214,36.002941111740626,36.069046982397126,32.46543718915943,29.687414674135418,31.650814448887147,32.73860702401923,30.298673429126424,34.09274604747863,34.46631024753627,37.377802125798034,34.20570326490541,34.976285280118525,33.60028192220249,31.635453593877752,29.367435900563237,26.798302095351218,26.4430854693235,25.322469443452093,20.894652276100782,22.615156295212042,20.12896553154623,21.35891442945624,23.895615187625815,25.08367244815452,21.36297354831224,20.037752062530725,24.23829591469634,22.715356515583455,17.227665204028032,21.401427783438937,26.23526100318004,21.77980461371752,21.30829836352812,25.300363047280634,25.420699492819192,21.993088748385635,24.25853461609668,21.401775478172482,26.990374131305007,22.15263261672396,23.177551860183947,27.38274280724783,30.077289651437116,34.210307746925864,34.79362328800875,35.92853946351922,34.19755119297285,36.41237073158249,34.17615060721415,36.50760088479471,34.814926508217646,29.187210637971624,31.351332818891382,32.844531449264885,28.51791867249948,26.637527356563464,29.223441947583023,27.74148743350303,23.664606369026725,23.1219804165119,22.000635679685203,26.22777949728623,29.438514685968926,30.23014431922172,33.28664273652299,36.803067671762044,34.59275722520142,30.70832745418618,32.833072572577024,35.260268271200594,30.79957176738686,29.268534771901603,33.13473487272677,32.59011557980614,28.81439896106472,32.47439816098583,34.51456630322338,31.27292469397327,30.596132093743652,33.770011665420064,31.149508649349357,33.036727176934846,31.395421742370306,33.44091543213,32.32128210255722,26.879832772316302,28.631623163958004,29.320373731648612,26.461101755796616,23.62448449293209,28.29037516860508,26.687927134845456,21.374985396524135,22.45109259002184,26.364981455970373,24.212012398579574,20.273372119285135,16.59925656958423,18.92876160672557,16.025977169471307,19.50628311432286,15.402318837403637,16.53662373420205,16.137217096951968,12.845596327268671,11.417546526130058,11.09413199987638,10.644804163257167,14.956397649075663,14.06088096695726,17.09629315882064,15.957674809780544,18.986850260212094,22.777033028363142,25.642274847907068,26.75528704041929,21.730730141556307,23.68097860260634,26.328303459510682,22.246182504330825,20.312321387524985,24.643058891147582,26.802184737873272,26.98610053376628,29.270857018881696,30.7937242722698],[19.6364103995112,17.2596817650609,15.903612246249645,12.885310588248748,15.755427241922344,18.769031484636656,20.302992712447953,24.817562524876287,24.973936808239728,25.384347765503193,28.724060612984566,31.625819133671197,29.83470323177842,28.18305244027991,33.388279655841856,34.30205720411502,31.46552269439533,35.3557659080028,35.9909463525954,38.319834783460905,40.780339425390736,43.607807509202225,43.976433924408916,42.01350565159509,39.73434176970652,36.434810227843705,34.75660623148214,32.00018144228395,34.41977358210772,35.146930808745644,39.5060988662404,38.95844765679506,43.06895537005202,46.1135260454754,43.12257764867714,40.56834231027229,39.449008267203375,38.244160831263066,36.62465860752892,41.20996235493788,37.54149345285094,40.06381937225995,44.154876235600355,43.16174815107655,44.20091155743171,43.05055420317959,47.32138825754861,46.82374258271425,42.80559074011435,47.01264048919043,49.54132392265818,50.00148422574069,51.382126720661056,46.71355272245661,51.188703245923946,53.65856144325342,49.86719103524612,49.718670924313685,54.517562589979775,53.87089559192125,50.26357083723383,52.45383058066932,51.03287992306729,52.041697084818665,49.17997011342556,46.034218018094535,43.61568164307735,41.487705036767196,38.791716630100076,37.73552200107957,36.585387632995584,39.14486298934036,41.31638916334262,43.69319491087755,43.62952700244123,49.938418928351894,47.813974953173286,51.15103714377741,49.381205545471126,49.59259618908088,47.48937653663627,45.70356673698072,44.42301699713875,43.11258426142133,39.701052829288884,40.05871673042616,42.2222885407857,44.15136990518167,44.00950322589882,48.17000311079912,46.06562464709562,49.410428620509904,46.489106686579916,44.86414151441842,40.179523788202026,41.20871839385007,36.91085606306246,39.22529976618855,36.75157759584566,38.64719927130989,38.997863886200555,37.50433657411176,38.24681550049971,35.593271450112276,36.92653944666885,32.03326684083775,33.598324227161335,31.20203091993296,27.389510248226035,29.069751713949167,24.954970444602125,25.233171745916522,23.574612208444606,22.784406637478547,24.77718802806629,23.351716819738424,27.147922184751838,25.987174945708777,31.448849052955097,31.385088770237687,28.459051401500542,26.240704450654146,22.092184714844006,20.615094162980952,19.482020727379616,18.941053504866947,19.71393175847367,21.316157172819405,23.24406129559209,27.933941176676758,24.57107504485789,28.97207946825255,29.292641818602508,32.08521895538,27.098577728692327,24.626341644412935,20.396370816486524,19.85672909482174,18.993566699919317,23.001056454079254,23.547505018007477,28.452007772769367,29.38462486964726,27.46713163477543,31.209130560340007,31.160270747863546,28.013426315093138,28.629698612402635,28.2061358143855,27.04715751345425,28.635814898911995,29.810233839897673,33.92471136674499,34.95191495504279,36.04956778165535,35.6851274511634,33.26711406260812,32.77331531571546,33.159965343893866,31.07067821952125,29.087646783626255,32.569972280835245,28.605641444955257,33.1627095817379,31.31367695288177,27.187437993021003,29.011898571622773,29.139256324188775,25.828414077464984,23.49125079225361,24.740712618565553,24.786656806119428,29.654765893639365,32.054368855339895,34.44843850960496,36.484853748263035,36.34761907095828,41.14133313222666,39.23962517557797,39.524272906822226,36.07239363626364,33.32555310449327,35.608348410354225,36.789908674659756,34.21810750088033,37.74914986927145,37.790055526999936,40.85356525800057,37.5045205085277,38.627732333505996,37.405907890717714,35.5255447450447,33.461081956750135,31.00516796486586,30.761368772294308,29.708801476781552,25.275354351783122,26.945993089738472,24.30404881665656,25.3245400249892,27.71250412435136,28.637479323000875,24.856165781948008,23.492131423255863,27.46236598819721,25.58121066783462,19.913089586121103,24.054264765827924,28.720771644629398,23.71603611259377,23.03598719913205,26.974913625680966,26.83167844274079,22.87205661130247,25.154044897837686,22.57731456904691,28.343916120188354,23.77770030455556,25.343239050971945,29.477801151180625,32.55207811263118,36.37059434548488,37.396831874445354,38.854058955575894,37.44490817846308,39.89705150015938,37.84323541002137,40.32752641980103,38.43380626738758,32.872669477922535,35.286820518329904,36.771180062622584,32.31190633480402,30.6409091934811,33.39587541003837,31.676165524715728,27.536937317193924,27.394721841347202,26.03805728147187,30.393110355880506,33.53568914579778,34.0326890223796,37.139765027403186,40.41374194907314,38.24496080321428,34.38235671186769,36.21416981219861,38.48201198268777,33.96792778746795,32.29585099444955,35.85707642877743,35.075501581075784,31.222959101898336,34.916893815256344,36.6614444105168,33.06167456760965,32.50244795861062,35.81535085882772,33.419829114321864,35.70567395048459,34.42396640893179,36.605978881264996,35.054365079140645,29.680111383816794,31.913269564545867,32.34059949678611,29.249003369080317,26.922838280691796,31.606464903653503,29.520409561856923,24.313098427723776,25.95356197589788,29.572481022356975,26.92380431873809,23.026686536035367,19.091857035076693,20.941092748041413,17.414172592434127,20.79472859498545,16.53442508672271,18.43153645988873,17.530924703486704,13.650683150036564,13.324186285123242,13.39884114832116,13.935547946187866,18.33894325895124,17.537925505294034,20.979252076388622,19.528668284844198,21.804503106341382,25.754270576577774,28.441564730614733,29.315464581225143,24.156719810697215,25.716306183687326,28.03092948964876,23.917621821562996,21.593351956836464,25.772454435088655,27.617303032158986,27.618546233386347,30.01524212494745,31.639845266264505],[17.575125385688587,14.955254096336535,13.015958634627363,8.965559306993319,11.754174320626191,14.06677916591672,15.281664028090178,19.820897766813335,19.805501134702876,20.23509023755968,23.58555508866811,26.4384826877034,24.773324677629855,23.197770175216412,28.396763266288843,29.32464583672695,26.729936835228337,30.79798396826937,31.885049834753204,34.180395488700064,36.911562272165035,39.898460097899886,40.50296411623542,38.87320438826347,36.35796670664251,32.84119363918258,30.93544827414932,27.85326222460263,29.91774550349072,30.378258841498006,34.64128689719554,33.98509468266019,38.028193493734335,41.19457931436648,38.31258167452099,35.93253032513707,34.775711226254145,33.98223008638014,32.64359608156279,37.53892367779821,34.12645128893157,36.337137425891605,40.49762096528377,39.78167293710146,41.17163001209626,40.355081801185285,44.61911287882037,43.68987641027411,39.810560571271495,44.29361408231403,46.43210874609248,46.81417467573572,47.93299095988903,43.10510114032571,47.34029069088538,50.000803937484356,46.261359827105636,45.762044106068025,50.58482419853705,50.26514572798192,46.50241876006964,48.40780774070055,46.753307452773505,48.023201472679915,45.31377000610891,41.949918537837455,39.53439234749447,37.112326685010245,34.56758235220012,33.218635789016005,32.2838870120151,34.95514722397046,36.870734150852954,39.434797734764345,39.076082535590025,45.40183116619201,43.36539297553215,46.532154561963544,44.87143634483041,45.30142578891822,43.11001666439177,41.6202466924147,40.1766653184599,39.20056341554452,35.898854078553036,35.85964014284171,38.00950321681936,39.62824766876284,39.53604814138618,43.435039612244665,41.335140898777816,44.653692220400536,41.624509538251374,39.871267108970976,35.163168607317324,36.1674873270053,31.8614107591239,34.090908096046455,31.587284510997193,33.515162317605245,33.94914530768097,32.62381170256251,33.48152776000244,31.054642711217674,32.85303165061156,27.99628583439619,29.97240030933757,27.998148755557974,24.11400405310303,25.197972120496036,20.882876734417383,20.911388233295803,18.771577681386706,18.19861411810441,19.992466888246476,18.953986567042236,22.8708442625718,22.27482059226111,27.69120184315416,27.081880469214966,24.205154608298756,21.68824050657194,17.849121174308063,15.983319544776577,14.501239526388648,14.51192241844183,15.196722777930923,17.297907458398438,19.697891184398454,24.507291665409188,21.979428260504772,26.543443646694634,26.991086748762783,29.114503425769353,24.363067598534403,21.33768843939607,17.937490606879585,16.735627161121588,15.699909727896236,19.57225258509184,20.78795790148105,25.76189086817178,26.0267381955996,23.856193214567217,27.514894793575923,26.960132387888393,23.755772447811907,24.001102880536397,23.55873301810499,22.103419822233565,23.84626880512275,24.803980999233737,29.085174168770422,30.101580897913806,30.993928059884272,30.647263921206033,28.198606018900986,27.913406605393625,28.2799862539971,26.567369170380303,24.934034454911007,28.318977925888657,24.873864667003588,29.50928843950719,28.389951204994393,24.78042522497703,26.847259272755174,27.700681337328948,24.53425197905593,21.670192240161516,22.50057813797277,21.84724299454256,26.425996592485813,28.433698028745464,30.472492788779174,32.27842364987009,31.817679632120488,36.75626941013632,35.180718958568626,35.596438311356536,32.580777323411525,29.622844795998944,32.53064089353868,34.09263921488757,31.431782682026604,34.79592926401418,34.55325057373254,38.103186671759005,35.16370630296079,36.4233210685627,35.564031198794275,33.33521809665891,31.686100021946228,29.239145569710352,29.1331141405042,28.49530524330778,23.913409121865044,25.42506515124369,22.85495220757976,22.9685948017757,25.90942029987322,26.106852353705868,22.092020540489656,21.70365614227291,25.580006335097227,23.021019377736923,17.934684716992297,22.607487423670364,26.62333797165756,21.36548031508414,21.443552331204348,25.423099074188094,24.53218216803455,21.044066674233495,24.121918738200723,21.89733098811006,27.697912795584518,24.277162827177275,25.06501007112832,29.099470794243338,32.51555167431421,36.494701508613026,37.519342224172405,38.33083346993791,36.79021819434214,39.01364368353003,36.464995655714674,39.36404063604163,37.97236729016515,32.01675034332068,34.2116948240822,36.41221113570365,32.186059641642245,30.020042240604234,32.78985980845691,31.99896345068095,27.823151795323493,26.870157308336445,25.12972115292002,28.620954056132867,31.9458200820502,32.16873664935301,34.86566273966366,38.07357135120536,35.427439824011834,31.672036480537013,33.838355175097675,35.6200878622829,30.84028804317247,29.67971307667545,33.102517660636096,32.01685513997184,28.468011747515188,32.62507766908714,34.10233899705187,30.338716332792,30.4570273568559,34.01066845654209,31.87243824421404,34.10193061749948,32.57547583960073,35.255182993104704,34.03850125314454,28.390678490596112,30.76833185679908,31.85953355277761,28.81225440045709,26.30280678830328,31.556499610424567,30.067474496005623,24.617683856552084,26.169621553785827,30.437919821277283,28.274492042041018,24.26266914653159,20.049790734893076,23.04666647218517,19.604139953594462,22.223103815398403,17.30992712928711,18.034665612073848,16.08196435086085,13.404682974417389,13.065406593064928,14.31344486185572,13.97679347275159,17.56684424646051,15.241195974526693,18.630502788746487,16.213094703133383,18.50467992005323,22.155844616285837,25.027776994405713,25.276636302266596,20.156628303729462,22.21542621105587,24.038193604864976,19.45501074737795,17.95216480091147,22.28338580802584,23.651827794209343,23.396160860372525,25.700434293160864,27.223378596196824],[22.435930634109152,19.635567062756653,16.886306858255317,13.081457535551024,13.9222123611736,16.958101981029507,17.007712553172226,21.499408566066656,21.427596927579728,20.740265377660474,24.136175621737777,27.336846004559742,24.635893333279995,22.92016290325005,28.008678588494693,28.745748908311146,25.44084123682108,29.07009392453779,29.37103701491874,31.67014764213137,34.00626427717221,36.79787661033415,37.12192555378403,35.16201277832651,32.886989607391676,29.598969035319556,28.013125440045904,25.401830526403142,28.10061447363897,29.249882922989773,33.647790619897144,33.45661229940903,37.68023083576834,40.34449119897405,37.23265485443753,34.384683439555495,33.55238415092406,31.856574313444856,30.183642297850383,34.89977728951511,30.966869288686745,33.34469019724528,37.475820279478015,36.56498288217225,37.58192741095181,36.61940597337302,40.88845983098653,40.30356241390277,36.46752423354916,40.87431622096281,43.29614773312147,43.940175451433,45.17300983395026,40.52085723905753,44.9713937750309,47.25605642767827,43.3289907991479,43.21762903462144,47.993776947830646,47.224088241481965,43.53549839534017,45.75818884173814,44.45029535661614,45.3064710480005,42.3987373635809,39.350538680014274,36.94470907997166,35.00796964340976,32.34973733282933,31.631101753692086,30.461869049666962,33.205240120032045,35.274989354479295,37.33352949155944,37.37273944969064,43.61211927853516,41.3519879023479,44.8567807680097,43.03024540329445,43.14433909538696,41.297551430236766,39.50206429522984,38.63348889779853,37.34120575111576,33.70760155997153,34.00098211190588,35.860212318032254,38.107251700505756,37.65127272759825,42.08536515429766,39.933065176223046,43.34734827227496,40.651557786664924,39.30535529074134,34.73455753242569,36.06207070254552,31.89628117720631,34.24045084017117,32.10736097485986,34.67514198601327,34.18665989854508,33.29432805517232,33.276248529576485,31.258137301459197,32.45283143357921,27.985640876737698,30.261388008145634,27.975333618492407,24.632976407619587,25.916012733943074,21.932105876566578,20.948100585615112,19.194766570752833,17.430762455001965,19.022579851042774,17.047749869400526,20.654655478852963,19.208283749527798,24.73194903000651,24.93751164084317,22.117245548882853,20.18504824705845,15.760998005725073,14.642898122057863,14.346096717997767,13.597574142462005,16.16378963593685,17.188805423894166,19.648040881621895,23.96100102718568,21.339390573613233,25.98591149102688,25.570656025496653,27.992737856690134,22.669400807672776,19.715159248792244,16.25002471534196,14.332310360969911,12.669892292414653,16.562893307518376,16.785826562496098,21.716575131446476,22.56596756425037,20.786125592311524,24.62691583056305,24.790938713593082,21.743854237275528,22.88571081978099,23.037015447616877,22.438589094957713,24.84986697508735,26.36880263478825,30.847510312807973,32.51814657782225,32.80954966704417,31.914276172321348,28.946693702463598,28.5948896337243,28.18238906958631,26.38869915022821,23.689606215535,26.631590556304282,22.41009781708367,27.005615384118567,25.33803318525583,21.22291687400211,23.70922950965733,24.089498993906552,21.296936543658685,18.276305523540845,19.718767515843837,19.140147385420615,24.08309835877317,26.542042561567104,28.868777283217536,31.251515045811264,30.85632915646172,35.823532409221315,33.614629228464956,34.26569581521568,30.630698761049803,28.50738079204279,30.909496955665606,32.0673522034198,29.14647048197175,32.08246473247074,31.68566675022752,34.89499343188467,31.453213106661927,33.023690249348924,32.20469336073192,30.343819160912737,28.911565398937938,26.856134408859667,27.194837861649642,26.965766729219386,22.653430279550296,24.92478563535914,23.151348639448212,23.647519719157163,27.14266927136318,27.71496410437139,23.71901904697897,23.65132224281937,27.868233765155843,25.71751975529534,20.93179999201696,25.618147049547304,29.81979545000862,25.07545612746739,25.331937804498157,29.349872321128007,28.64536281843583,25.506053897835788,28.513498713945612,26.04281746690354,31.72601779483573,27.707833673966167,28.317734100793114,32.449930113744394,35.35361976485433,39.580486158135606,40.13026630235097,40.78209418828412,38.828913875863776,40.72426698997757,37.94976166113707,40.43590256246711,39.29147521813944,33.38402369765662,35.0716916577534,36.99197198963602,33.006495012860405,30.590676852989525,32.76216528833493,32.084729197403256,28.209418106717703,26.445062472235705,25.7692913854273,28.864846228141435,32.431454560862726,33.39926574388626,35.88530732957352,39.60348266107407,36.68390095414837,32.936924764832355,35.79210877719104,37.68164241954232,32.8704522806861,32.13008959526611,35.90932138950726,35.00540867278812,31.642744551395612,35.83834424956427,37.56790412966827,34.09131745368616,34.19910439781854,37.63067133839899,35.27476183937218,37.08225413392851,35.11901647302097,37.57414818063464,36.869465208082396,31.199929848077595,32.90089712147436,34.190519607291975,31.439514532618734,28.307303473532354,33.27152538754775,32.19027045421364,26.763059384852166,27.4619002870546,31.761016419335824,30.01446060157362,26.06413995103155,22.395840234715273,25.053833642516974,22.173053865707914,25.42673228546973,20.949136199380163,21.55638230153847,20.18764424468109,17.58582381424007,16.49726921988078,16.902513133694868,15.87880769245999,19.55324466008826,17.073567566421676,19.539798864116968,17.036170497046996,20.989176400967004,24.1810990996205,27.467122401051327,27.529662120067485,22.66156204754363,25.51007187130548,27.310983850002632,22.327528323050824,21.81941827346693,26.27641368152171,27.5175538935521,27.11244022469,29.193402447721322,30.45325357487639],[25.206107843958133,22.882877598190852,21.060075638972755,16.560796061930432,18.524988732208435,20.175378735896395,19.984461227244278,24.372412762313303,23.16996682688879,22.02035821432119,24.89807752905602,28.625009979102995,26.112220980313715,23.37673236796306,28.44440562470179,29.746651893447776,26.38337523797716,29.597639745692234,29.378258272560245,32.39332959425041,34.28550489264614,37.47956970908862,37.30996620842011,35.26897603418492,33.54667780614667,29.990435488759736,29.118649597567323,26.550206984925886,29.35888202020531,30.904818575712497,34.32674989159415,35.03419968777516,38.996409750566734,41.4572903371588,38.72127762137179,35.6816356311468,35.57597839207207,33.667659065287246,32.2817478006828,37.43364228161342,32.99426670315227,34.69555368638282,39.01911322670702,38.42026057544638,39.199138438482336,38.536804915269386,42.7431577226613,42.24517079148189,38.838160832099746,43.454057249216746,45.82481261710481,46.801953328779156,47.79222735812166,43.16133702801514,47.458578165952154,49.44763988252408,45.244070474973675,45.04662724963907,49.741893406301486,48.783954681834295,44.715667337332114,46.6286704655455,45.2653822586645,45.5901973477267,42.952998720759666,40.15907207430207,36.960259426266944,35.20590744252776,31.839482702996236,31.130409664406734,29.446348137560765,31.635080103042753,34.35184614468613,36.56354116150816,37.28757192142974,43.584219921333215,41.9110040508419,45.610465128981055,44.217916862912716,44.64196317026238,43.33319079192313,41.92140650453232,41.51567965446906,40.537394971347176,36.71998303512236,36.59920888034712,37.80409900259842,40.187275690557065,38.95016373277436,43.28955604448592,40.61125992028999,43.558352682005534,40.87675558892131,39.81311695905672,35.28744927077225,36.1957626090095,32.0555301471006,35.312872644290586,33.57786195683001,36.66424721054001,36.36461401143118,36.29888059982601,36.20065584591798,34.91298113438356,36.56437342972589,32.34122522518015,35.05567390808296,33.04532179668076,29.754829497864748,30.58843116983272,26.47493411285334,25.063688427229522,22.580016696866725,20.623755955535028,20.913921459608794,18.692264368413003,21.671102166716743,19.797034812883872,24.4979412135341,25.06070754051514,21.816187172355093,20.297348167788595,15.992438010672792,15.899682965790905,16.46466886058639,17.161972067890606,20.29607124368989,21.728946699648365,24.58534423428038,28.78732145289986,26.665690021226432,31.34358817784151,30.69159376410601,32.864012724305404,27.481427859091813,24.225873144784305,21.37216180466977,18.6034507090071,15.982203773931147,19.37069075287232,18.26269241119849,22.941543608281993,23.723119218478512,22.623718460379678,26.660705023043736,26.835464354536885,23.990090780106485,25.387734346991525,26.177120440366892,25.29015595737181,28.266629714163468,29.082665323563276,33.90766679661638,34.99302223996381,34.951096635239836,34.44917330393816,31.36284034628202,31.725149276675946,30.882166233091095,30.017448919952745,27.27508343620967,29.44599658796156,25.35565776582502,29.94567233571493,28.64834758028878,24.477192108245948,27.66916456661036,27.855779960216466,25.616702909779622,22.335569039598784,24.118897330494747,23.078486992808966,27.94529266906241,30.312394232580722,32.33979606734034,34.80886047410809,33.787591628772226,39.06443013268698,36.912408081801445,37.98847260935107,34.44382098426942,32.74468192152323,35.39179800562891,36.53698459747522,33.38506550794996,35.677006583111975,34.69620569385261,37.97228970961611,34.20507035799366,36.40712640898081,35.90067266383004,34.30203424052057,33.32582672098332,31.614971063649357,32.26446733142578,32.302906989567774,28.109043996647326,30.52939428669146,28.843995531549282,29.172965530289186,32.7300126581619,33.06700558024049,29.002516015767657,29.08243126321511,33.17925604411418,30.704925647355253,25.897901472266653,30.631637431672402,34.64201457806531,29.46747732102735,29.692047260534952,33.669257933636786,32.6122698686348,29.147557197292024,32.28572931232342,30.08829581770247,35.90760779526838,32.13288384466368,33.10030305631172,37.20047619291537,40.374059011955715,44.413620873076496,45.251833918034386,46.08526287499921,44.29225206023169,46.292265326185436,43.5464787069401,46.1137962415151,44.91464070742056,39.01303303043813,40.76462663984937,42.67462756335477,38.64361414866749,36.289452252503686,38.442351409296215,37.65390204916917,33.78215776966459,32.0875376780538,31.46922192227331,34.49828617287635,38.09331202354862,38.971149863369845,41.376251979183074,45.00188921180935,41.947651869062454,38.25849094051414,41.089781835925685,42.753355940446355,37.8385477438616,37.184493127663075,40.72459982596804,39.56487797923278,36.25803192388779,40.58321930451776,42.0212574257634,38.2269443086177,38.600440958245514,42.18299609120605,40.038373757655094,42.113620007923004,40.333840247740284,42.94077242001834,42.01306845135103,36.34149257315724,38.33516518330823,39.522653399802444,36.62566729110156,33.7477499956941,38.74082106113495,37.38200604692989,31.980437598471344,32.948652248555845,37.08213090590641,35.03102097990327,31.08522363589594,27.273631022171838,29.546379937625208,26.288061117767654,29.581123000031276,25.011831421083503,26.113945843436174,24.327224803249134,21.41049830825083,21.014797001222306,21.5942068348705,21.112361834403835,24.95061643571925,22.45370667734696,25.071080829381035,22.23039043546734,25.796966365597036,28.933615955662567,32.15617564682693,31.756744874044777,26.920257234041774,29.655360529780882,30.93203997447925,25.750748014342477,25.352169952907623,29.637213301490853,30.302982336598156,29.52408797798481,31.580666752215226,32.79762590029785],[28.903303433256166,26.50666778222807,24.438327533564575,20.1354127811491,21.51596728880964,23.578507549618326,23.03513017669798,27.338472047742115,26.153840513286198,24.491967662122587,27.285325666774032,31.149634175763563,28.127470195982166,25.30756486279836,30.166470891590496,31.37270769744905,27.61380330866484,30.37734669208622,29.456372871002838,32.51556888572741,33.96513866435982,36.98896791373314,36.483640927927134,34.12677028029271,32.76795419301716,29.46390542337675,29.01057068675304,26.921011887968387,30.159814374517275,32.19531352436813,35.557997638756234,36.640373268491764,40.645118842726106,42.72790455034641,39.89956447023533,36.557545470029936,36.73663023673325,34.185943004721786,32.5831422627844,37.50134469045899,32.668308942834564,34.42984965369686,38.67179785182939,37.923325432248106,38.307134554019925,37.50763783874238,41.659290458159944,41.53150150606657,38.22303492103406,42.689163256777455,45.3178995995718,46.51523157065843,47.601485400226935,43.17704557213539,47.61051493675496,49.248219067031464,44.91512768467193,45.05459468978859,49.65352674832878,48.29868218810885,44.3083704213126,46.44503977478607,45.37820782804551,45.28259810849556,42.539037574311216,40.08653039204779,36.830389650043784,35.53488715483407,32.02236433790986,31.829597788322356,29.905195154135313,31.98756904816767,34.907480187046936,36.710878602781534,37.85478293180561,44.01264519799324,42.26390149837481,46.20566378704525,44.74660127860042,44.94611893396011,43.95613053322692,42.343269979888355,42.38571781140852,41.18403694666831,37.17333755540253,37.30646717848465,38.23916701493305,41.069705456989155,39.52344590792219,44.195865235984726,41.45870909911854,44.38345147865597,41.97364470890676,41.23500241867192,36.86731818425885,37.9223961449372,33.938041636575896,37.29950866419413,35.82973617574588,39.24565479352971,38.44774958575511,38.630543677508754,38.03396450491795,36.981376807239705,38.22347544451482,34.266056260634755,37.04300443201391,34.82715456134742,31.857227061460105,32.874407318479484,28.990296309471585,27.177709238267635,24.99806445879674,22.49200806517415,22.620223225151747,19.869521326569654,22.394764838593872,19.824994807436056,24.26877209225609,25.584287634057244,22.431762179963183,21.49725480941333,17.026462751987406,17.601838767798277,18.848103600751713,19.10935422369078,22.945558224838127,23.81152112339856,26.55057569662282,30.399258415283484,28.137402781208557,32.736298202548596,31.590676759818383,34.0067865303318,28.371139314258237,25.345828793628165,22.44983238883603,19.50897877447019,16.641719463517497,19.75176131414353,17.595441823642588,21.936300382727683,23.292767294799223,22.69203766356464,26.749357582510996,27.505595985054903,24.889589073260023,26.86833214014757,28.005530985001055,27.615671895625756,30.85068340598827,31.943717166533617,36.79982391037445,38.175549660408265,37.87458086636131,37.11346930542604,33.799045138817974,34.11374328227974,32.86009198239456,31.944621536139564,28.616718110666707,30.43266558096876,25.889992900541973,30.299339775701302,28.562339166371267,24.063716985517893,27.46639140842265,27.129816856605512,25.26711549915678,22.111952390101163,24.34325301704644,23.493223778108202,28.461466223428516,31.111991391330267,33.31411286309422,36.13007338242636,35.18062277340228,40.39212336752096,37.83157474261286,39.04132076976257,35.099041369302746,33.99741020106414,36.19919144961221,37.00172177097628,33.745306079465905,35.69081946210999,34.621716223048146,37.507411063192784,33.314447566497925,35.75081689313138,35.23646791316393,34.02840147558085,33.1743064649918,31.783300720573056,32.68603657983091,32.896594504702094,28.98888591595351,31.801085909113315,30.530473770110127,31.198018179927605,34.880702261280284,35.51788430883388,31.521544077758264,31.568106341677822,35.81840670099122,33.63807250330849,28.843645985707116,33.503751024051816,37.71480924909602,32.77607536757497,32.94656437040584,36.953437666537305,36.09903008808132,32.67373513439464,35.66994802059076,33.299962553408655,39.08539303770157,34.84866445125455,35.8759638623009,40.03794308596685,42.91255364962267,47.037254718327176,47.646160037880215,48.528699813456555,46.56526666653041,48.4421025921815,45.68764060966812,47.952264150279454,46.78541332873725,41.0146202656461,42.543350843597125,44.14900613264,40.227364012391966,37.86467502970525,39.67684163554646,38.76348381834355,35.10660834279542,33.176548944203745,33.18515771815522,36.14721607015089,39.798005709029844,41.09512103342353,43.45909423258121,47.34056105340865,44.24518368282925,40.557071591979536,43.651741402350666,45.45110228403685,40.57495440796063,40.02357202075169,43.75140310026396,42.72560011683798,39.44160580287489,43.71203594389759,45.313533260369226,41.662483725867574,41.91312524791363,45.40950271745624,43.11611839848457,45.01420515550094,43.077326104318864,45.48561304382098,44.73548598313389,39.10350558945043,40.76053257052814,41.91308276071756,39.15014452822862,36.0315669764915,40.75602174092467,39.48180252050294,34.1662717235461,34.747449263337735,38.72765362379082,36.799411717620075,32.943783332758606,29.46581362623966,31.346971068636044,28.371810384417408,32.04261204793196,27.783339655748684,29.014474768830915,27.60561451664583,24.530810869041794,23.85646533900951,23.957696091904502,23.34720804287704,27.30386912406322,25.0145635606113,27.24713694062336,24.57867685478256,28.768336858927576,31.768366966183464,35.12840757163259,34.759074830694644,30.027172071764713,32.997028749418895,34.35987187991401,29.095352287387477,28.92494999756308,33.265244998030155,33.9745082103939,33.18080360854407,35.16393934974739,36.291463201722046],[29.30802441322762,27.092595992788432,25.17157501833596,20.409155794910003,21.85729116697407,22.78483929699071,21.734452555921287,25.740848423718003,23.828535173849566,21.755502402412827,24.13513184829881,28.229951859980336,25.34624913550671,21.99337965037206,26.715689250264592,28.242076176251388,24.62768555119802,27.210741423980906,26.328692571231297,29.787608247717984,31.20475033358534,34.60423044922056,34.0356628210817,31.962046501604416,30.700561989383328,27.041593757441383,26.815601291790752,24.494328272889884,27.491002256870697,29.567726734511425,32.23727890781834,33.791018206830934,37.56007969449373,39.57579578152933,37.06117745936589,33.75432497599338,34.34176730866723,31.99809089907549,30.807571730247137,36.18793076218514,31.341248833463503,32.42964422867822,36.82183857627554,36.49292240664767,37.07010247103526,36.739867173692105,40.82011900332584,40.34464243252307,37.40284754727595,42.19309137533233,44.43572567888237,45.72281273351446,46.46123464500869,41.93122163853945,46.05392840941357,47.69348467467957,43.28002789446546,43.06385842944405,47.62325676538402,46.46083301252316,42.137130061402715,43.84365669196854,42.54342172576031,42.379574671245805,39.92640263613385,37.42963361254951,33.71677085517325,32.28093637275118,28.4713212927993,28.057511621315957,25.987296228260323,27.835168607005016,30.93625027225043,32.97764837162012,34.28684832828518,40.48430346554967,39.146447703791836,43.05156045567931,41.93273167649238,42.48869562340476,41.73240504259554,40.584476434962745,40.75278816369069,39.99512204400405,36.0145834169234,35.59763377682993,36.13533182488687,38.776712568953265,36.82586718396393,41.21750186502331,38.1909652400886,40.81737669455031,38.34886834271503,37.69871607828363,33.38284576594225,34.19002165391201,30.270941323966184,34.07869882047297,32.881327689013695,36.62293572971938,35.92377469308314,36.72891218446164,36.11930417919572,35.68110531645699,37.45819980858595,33.741279522732434,36.98406105331243,35.22672606769734,32.3080650749582,32.69622178992445,28.753511000611944,26.52430328584906,23.742130707159557,21.231209941658232,20.3723269558549,17.7513719753897,19.855147609848764,17.507247016103143,21.31222554791489,22.389369505660692,19.030375117968017,18.207258669636374,14.138510437453037,15.235264570185201,16.964616452380255,18.345478817605514,22.480625149642922,23.709623946817608,26.856926303561504,30.606692109069307,29.195590107080996,33.83362926364248,32.70404514630093,34.483843540653076,29.09202133389378,25.588151631089364,23.6430020353549,19.921341982190096,16.516621590454747,19.095933583015213,16.833295527700617,20.984154842430357,21.61947074187335,21.217347063863702,25.25346778428333,25.58934150259657,23.108937205057366,24.969081968915212,26.493783582696175,25.832315940533682,29.46715254638629,30.050573650406335,35.09781393802237,36.18407845194632,35.493814582498906,34.9225293526537,31.540002125118775,32.395175258975705,30.83777745399148,30.73948771796587,27.65724931163484,28.90041871628678,24.9136682395905,29.306946908517176,28.40709731929725,24.416003854850302,28.27808219137178,28.477610104411983,26.970514060398024,23.362879569933657,25.34425528407576,23.746211109439564,28.339869995230078,30.591329868641264,32.32366701466245,34.981601202728,33.45316869155138,38.87952794358261,36.6212175168032,38.15186674358625,34.641858182247006,33.62239967616907,36.38149993269895,37.46522176623362,34.07677048544504,35.55488484286478,33.96302838601388,37.27712458456558,33.3325926235366,36.15933319619807,36.10574187797037,34.72151078404722,34.402609040848944,33.16257048442664,34.26265238643237,34.84846105628422,30.919672607787447,33.6162850419804,32.40873033493907,32.43454441325442,36.41983578376804,36.496933838567465,32.411299042932725,33.096703595248684,37.17021594323535,34.498929126209056,30.149215023376247,35.01634964887299,38.70211262885527,33.55172077532813,34.12571199856689,38.06270340267942,36.651056983805,33.449279584024495,36.86668572221444,34.83361232525095,40.621871743536424,37.1649003402471,37.90854004910196,41.96623741883827,45.1497138262226,49.305657247525396,50.03171456663703,50.588104584630656,48.64575334942003,50.42650620059261,47.39323516772291,49.963772948545035,49.09337350500872,43.09365748765628,44.524525284758056,46.59695581813981,42.79838259733847,40.17766579439704,42.02246983248046,41.65436190252914,37.95323697437342,35.62384902825816,35.352193034712776,37.73609523750382,41.47353271890554,42.51760553469743,44.55663747280963,48.30468206308218,44.86689722899956,41.32810817704553,44.58601223661626,45.944224775455794,40.92000065218331,40.75033375297123,44.229270207064815,42.912239982474716,39.9083509507208,44.45515285686892,45.73835768479663,41.9059134022774,42.686264312281295,46.34809696791887,44.33128425728766,46.29489339966915,44.31134847099378,47.07863288541073,46.431701110702704,40.68419187846556,42.55079683426327,44.046808225683094,41.254068223453764,38.17847779687567,43.2449150618793,42.19243592276613,36.75273105692063,37.4442977436699,41.73985076797316,39.938394210636574,35.998794072353085,32.26472165487442,34.65568970690186,31.503997539313584,34.76763415675957,30.124237485890003,30.96373606487234,28.911157642560745,26.353083125706334,25.940061483079084,26.64801885102653,25.87501036549835,29.444055060251383,26.404799660409687,28.582222691777197,25.279518155095467,29.25529249176607,31.91384137703961,35.289051986264454,34.30423235349204,29.7925630799033,32.97090357803334,33.73516312583806,28.23812972471979,28.74684796656765,32.921762941562015,33.01532631708862,31.898068421009345,33.718340899215086,34.69280836548977],[25.512568035006513,22.964108379183934,20.457078836485948,15.90713691088989,16.72964972877696,18.246300976299583,17.27240972090708,21.47703318056687,20.284032129757243,18.606140886753188,21.541811366505534,25.29402593033432,22.33474242049991,19.7346476815993,24.724842008362714,25.848921743285675,22.32407558204068,25.527033533383793,25.380286054563264,28.27260891881426,30.288667216504884,33.472620045800404,33.46185522902367,31.565169470473908,29.647536180331066,26.032104612562744,25.007199743996033,22.372109538060723,25.186210193095572,26.80246547066916,30.357255694091656,31.060793580371616,35.088403241867184,37.438009139806084,34.61840640449198,31.5288406530379,31.438208210162635,29.47125587206047,28.1245117362467,33.376353775230264,28.999053989685613,30.61045586746481,34.95433667841527,34.45011215584294,35.39621623323758,34.90251067560982,39.102570575092635,38.38139101335677,35.04849153156819,39.80363990302409,41.97906936311945,42.94533906290497,43.8210269720419,39.14453645309654,43.35607639084144,45.38497503152018,41.1967463261053,40.897750848400904,45.60501935698986,44.75118174337807,40.65310811869143,42.53409985848493,41.14511907524719,41.59612889340721,38.93753327978243,36.054230980568306,32.99113507232613,31.180203349771688,27.996077035837935,27.347363549581736,25.814658309523573,28.266231572774974,30.72451927328265,32.826465022101175,33.3675468535791,39.64629124138328,37.825260164080845,41.51364761895309,40.05199503029668,40.45519602132616,39.13983269294482,37.76696042546845,37.41679162355557,36.52085173323171,32.69092442291722,32.461114667662066,33.612462869123384,36.00916966231859,34.770236351170595,39.1660397065677,36.558694621227275,39.6222928666029,37.00555583534012,35.981560232614285,31.498113966121792,32.6235304835984,28.549051812572117,31.626869136095852,29.996410561637525,33.30563154303221,32.60218269516799,32.74259702709812,32.33657584052029,31.323479945801687,32.967402333839466,28.98537856998872,32.014049091390895,30.177937395780813,27.136373001719424,27.67042047689485,23.701347157322278,21.73055852402949,19.20628102184606,16.869391402606155,16.923999823531172,14.539275985697897,17.494764569380585,15.708307893954533,20.5817050742309,21.026649649601683,17.88487134240942,16.35928832352631,11.92415550867756,11.902190210978581,12.89876678711115,13.611832472669809,17.485429719627383,18.66991440607851,21.741599635409496,25.67952274177316,24.13356673222201,28.80820961679944,27.957043405266738,29.74435269899994,24.44012603064568,20.920157708463847,18.76338686092055,15.322705222523993,12.324025548516921,15.47913829636563,14.561904123564377,19.297224118006486,19.74353563454986,18.544042476264664,22.570233083249562,22.656640027892188,19.83952194437871,21.352677727974484,22.36446696168912,21.723460602458225,25.019690063366156,26.015171033485228,30.911587139720393,32.36907642124492,31.954587246986005,31.149710382317572,27.849752883376706,28.236378580711836,27.06831124576543,26.363334643222302,23.445313030569118,25.36646440875899,21.368300599837372,25.95716468018604,24.993075927264577,21.1128578229588,24.549705459848326,25.141804435016095,23.158289400454375,19.532421896823212,21.145761250084075,19.632106987128925,24.31495520956062,26.539175834003025,28.419373963988654,30.929459342457307,29.775263826495333,35.09133900797292,32.91950389819359,34.13398321684709,30.68511809035219,29.16043942533276,31.991382632002864,33.24175950784899,29.994404525104482,32.029727548991495,30.841213794633084,34.32978871038475,30.765242400585272,33.09168085706745,32.84790088471816,31.110247112254168,30.48775556219183,28.9218187120165,29.785338696276565,30.223991273385757,26.120326013771308,28.614510699260826,27.28770206854442,27.193460349605907,31.191105050389595,31.237661229953602,27.154721429874336,27.9163835458547,31.994381130253927,29.372992200148463,25.150955655915656,30.05012182104838,33.70602720917968,28.757497037955954,29.4670992415791,33.416357050458686,32.090138529797535,29.151218205326963,32.61499306355948,30.493684085036108,36.19558450669236,32.83260503870877,33.24392064117913,37.281713596512624,40.40077932020175,44.624937450041145,45.244419372673065,45.598167043746265,43.57159549156594,45.281861642334505,42.175547063962796,44.81877683734388,44.03705723032543,37.97753110964712,39.3884448720066,41.63050731070154,37.87680120515583,35.16485547946397,37.10135254657846,36.956248932115145,33.21029418988821,30.790968213124764,30.28654052811669,32.58427691292127,36.30847185916359,37.27525909173339,39.317029843866166,43.0539515306725,39.649660533706204,36.08477848558294,39.34441678919085,40.75284277363567,35.74936301915622,35.57606294798174,39.14821205000482,37.93034641072766,34.928205876650544,39.45838214289291,40.86305158061445,37.19158184473487,37.90898502179986,41.51683981702997,39.43044847224448,41.247425823772126,39.15323669872024,41.9242969653287,41.425977382254466,35.6570214859512,37.425222387700806,39.07474902398826,36.360199291437816,33.172333957485904,38.33089684947663,37.51050417730907,32.0332716091854,32.63568574264965,37.131154004725374,35.553318850552685,31.593459143830746,27.85328799263887,30.686831560179222,27.705808804559698,30.770629350913232,26.050638542549255,26.42958030376449,24.420529385470857,22.239773119193693,21.498485498484357,22.33971883638104,21.199671952317082,24.494260255893792,21.216302814764685,23.330366963659852,20.012948068175493,24.12526478137003,26.78484056955877,30.210692112377007,29.407548077440968,24.84337593888825,28.14840969100325,29.156925315916933,23.68379241344744,24.231827096625498,28.55587264660968,28.96235261567949,28.041490112627656,29.89438485291529,30.909420954583496],[28.92939343217076,26.125182698991065,23.03207797929782,19.1071024200121,18.818736862890326,21.537480510744402,20.31503760721466,24.409522968877457,23.813531392174436,21.73079199199951,24.77764335221991,28.419820255118562,24.68625969245424,22.523102785733247,27.19534656937886,27.87405620895112,23.807403454206373,26.56016918292673,25.645017094584553,28.183270000633136,29.79773205625302,32.490820944387586,32.270376531163805,29.9188957166583,28.191329341264517,25.107180623684915,24.286557833038533,22.37611890035224,25.821389530586597,27.960486410897126,31.972796063549755,32.722981551255366,36.945983308942424,38.861198471271635,35.6975805611652,32.26508180343537,32.184503656862525,29.34635719789126,27.473056310051355,32.12691630690161,27.38819005390263,29.538096731597797,33.6716912857655,32.732349791930226,33.217645725880615,32.313116892848186,36.516588473957945,36.309460580329905,32.83086684728738,37.26677356922033,39.889507892013825,41.00454162346846,42.177649466303485,37.78127944151988,42.31785834443066,43.99863621859104,39.75856068723386,40.02802711003721,44.65709734154785,43.30822365721852,39.53972900352264,41.95473121737316,41.037755137012454,41.17750942005696,38.18556704482393,35.65308456169219,32.96718155669905,31.73351593560523,28.739898074102005,28.849701977565232,27.256405107524472,29.86082615965894,32.25263241763674,33.67715916482398,34.44209773588582,40.4911288954997,38.21807069292406,42.15673988666202,40.344277939423705,40.22941882371781,39.07568075850147,37.16472652224003,37.2290326768893,35.7991053046304,31.7565049342417,32.1730818171536,33.29771667258063,36.307477215359434,35.05419288171369,40.0066616626212,37.611040383669206,40.9053284345525,38.67042517549552,37.954384449825376,33.67968675980541,35.224838846590764,31.365743434362052,34.10011573815726,32.633364257172985,36.10094790821314,34.61556390448225,34.656597274923904,33.57678326954831,32.50197968382126,33.26407938411339,29.559641609047894,32.415594352401826,30.114351116917803,27.544575482248653,28.60941609917253,25.084957886664128,22.77728055799133,21.144884448665923,18.094561557158702,18.630400956961854,15.53984403303904,18.128996457883535,15.414273290135869,20.480648589895353,21.900637795808997,19.152661088030367,18.294321888883072,13.555706072220211,14.023600220300136,15.57285907889081,14.797006148349295,19.37935433863249,19.46045679607667,22.0903612151069,25.508715644234616,23.454554096461973,27.97219352910545,26.46782357515313,28.795953515066167,23.09868508237989,20.123775390091502,17.545927636437447,14.24135840647961,11.279771585624607,14.32281389040519,12.309491491534457,16.855652074403373,18.360273732952365,17.541476464750662,21.548596895411826,22.596765790286884,20.018823801398277,22.327421420197275,23.51577264475028,23.788108156170587,27.115100135577467,28.849458862544274,33.5681377901397,35.68077964052547,35.12265369071386,33.782278479957746,30.255041700090704,30.186676031669286,28.667926529167424,27.368529670578734,23.56145284620162,25.36886476724114,20.512077785598798,24.85190430664017,22.914343698421526,18.41202585843981,21.869802113849435,21.724510105002288,20.00638974098368,16.6359801219718,18.8726870177378,17.931106333082212,22.902973900102474,25.6707121662855,28.020471128201923,31.031365740855485,30.35243717763201,35.387836288072,32.54952692664568,33.724471386147464,29.580543924406385,28.755677454681983,30.73975999779094,31.456847352433947,28.153643362032412,30.031826507989642,29.04504174571943,31.903838439832235,27.809599882621143,30.158370779300505,29.70965288520811,28.418825201999255,27.720751072179787,26.458680828665482,27.56305642044809,28.12859804129542,24.40588141357675,27.438165810591332,26.702472019239714,27.235229127993268,31.331895165782846,31.963412168041717,28.05453367368739,28.62750752986341,32.952476699307624,30.94946732489179,26.73035196995138,31.43679654754524,35.48027879799059,31.072257268380344,31.64913223150419,35.6397690637055,34.80030505553946,31.9973158755456,35.14899548565324,32.66728488553538,38.25463054105831,34.11062301536555,34.5000690590901,38.626440862606245,41.193476822539715,45.59174031248151,45.77239817978425,46.147263583129075,43.82544220990036,45.32251850227741,42.22862144879151,44.37613108557556,43.64388720199348,37.80433511902793,38.8737391383967,40.649606693557445,37.07474477226765,34.34851736395147,35.79183932308462,35.49249265418056,32.067377705693715,29.290817061368347,29.704606135096665,31.959724736866143,35.733656764592844,37.359443363695675,39.39761793580205,43.53252296840713,40.17980250469462,36.594817280501566,40.19950283744534,41.934478553342906,37.076828878830014,36.963731977154396,40.89812853852574,40.010515020357126,36.99642186649343,41.335993370606474,43.11034178997602,39.79513616948932,40.16703119585427,43.563525441279914,41.16996676613624,42.626557157347385,40.26109894619021,42.64486423657335,42.47116399741123,36.79850660016903,37.95409225634658,39.55580651479972,37.099436754407165,33.491773691656014,38.21102816691272,37.60849591210739,32.27451582066422,32.21694458384599,36.530549753066786,35.248471902106736,31.431959817254576,28.241131331796648,30.647466583321112,28.20780808293977,31.779896996709617,27.55061608821324,27.983190779854258,26.72160952058916,24.353380461883226,23.004811108353234,23.07012656066437,21.59754650475523,24.998212648563385,22.155824109191663,23.625331152714157,20.822113117318736,25.94112322403445,28.447571127146762,32.05055027667198,31.569877616761612,27.15662277921125,30.74203093061168,32.15024225094364,26.748736405539738,27.40724965658521,31.848470025047273,32.6238711294136,31.881311481252283,33.669686228851596,34.60349590965712],[32.12494647465111,29.467697471976532,26.53262267294172,22.27631882391681,22.031543607301856,23.945608523443607,22.17527490048046,25.947262062417305,24.688242765672715,21.921387207680386,24.495169021833387,28.43087360325878,24.475024331651245,21.752632105286047,26.08854112229127,26.986941737883775,22.72480236432449,24.866232203315903,23.284133936769447,26.270257841507732,27.404843135037474,30.312175135079265,29.678061821059377,27.259266043304713,26.006946953499202,22.807122053741647,22.66366032423101,21.012505237563836,24.63952411325495,27.26834584402259,30.54116686451148,32.07310764289798,36.0915056474479,37.61545010029009,34.67981765418865,31.012211452902417,31.592734493447168,28.369924253936897,26.705714032696182,31.593517945811573,26.44850772850197,27.968593312054573,32.1817450503211,31.52172709062976,31.79308817794391,31.227009109995137,35.310019144850074,35.131382527538655,32.13011958064077,36.734990845638116,39.2290325553781,40.64371256311501,41.56334713268697,37.26022132095472,41.622047277021814,42.968092446594596,38.51561058912094,38.75764004705054,43.2610031656331,41.717422842292585,37.684091247186,39.89664937987624,39.03562072705287,38.69947630733061,35.88024951899564,33.635507492214124,30.435479364893688,29.517159798053452,26.088951235465167,26.500334147099192,24.542935512927883,26.832381033160864,29.57765270429067,30.829182759913472,32.15561527762203,38.114020712613616,36.16564314191356,40.2989190460813,38.75579798605914,38.7803766265255,38.15413974184225,36.5169834738302,37.11259950429163,35.92438624844386,31.747462281081784,31.849668618191306,32.32191908516527,35.55684010257589,33.62003064873532,38.60483645174762,35.875404692253944,38.860161750701316,36.81586984405786,36.471242738318814,32.392191611881486,33.81919578277736,30.164679182910962,33.39950636789396,32.40429683271929,36.40892356769237,34.658777764519144,35.47505464448643,34.01410225214609,33.70696310835527,34.660739005537366,31.402128147953107,34.700238348402145,32.68222950952754,30.385663411715914,31.009489555396684,27.59621785755036,24.69544651259145,22.71235368854588,19.322032046052026,18.740308153438523,15.345509498252149,17.021321440098493,13.773717407218667,17.928813740359942,19.926678219013144,17.0846708835944,16.930126550568303,12.47471607826768,14.08271247897003,16.582894703621488,16.627663423635383,21.811703078716185,21.908742072793366,24.790941164369872,27.83849366478303,26.46680652121,30.897617864348618,29.070393313973295,30.98269287049973,25.392903194789312,22.207894341609965,20.540808089517085,16.48584652009195,12.874327073341975,14.942364633697466,11.610528432755281,15.523700552363202,16.906770531472123,16.87100201410627,20.86451213440779,22.060213061913558,19.860783863220256,22.55715757764904,24.40152336526102,24.77288754956177,28.621334205802658,30.042086349656877,34.93764549942993,36.937317067769335,35.87883975107665,34.558380209393974,30.826162839386136,31.236357832986947,29.13746668844056,28.59190131446409,24.597890130670525,25.50759527902722,20.837754159670766,24.950403106808732,23.460048352448215,19.22635969242862,23.31246824258308,23.19187929533981,22.222816258118314,18.63399471365283,20.968427018737927,19.472511896887802,24.06260050828191,26.653499304111463,28.671661424135603,31.80486122588152,30.625925631743332,35.7916602163212,32.90772097000733,34.50463426710446,30.462988811932778,30.234593242579702,32.362062165189926,33.04564622533369,29.55681049854731,30.640015472033042,29.046591413393248,31.941644632683584,27.687155462056865,30.656618493949406,30.654493534214996,29.588855434305632,29.525996233440807,28.706571216549904,30.182788051103955,31.194254622161537,27.721089228189623,30.874448866083373,30.440465672645125,30.671621302507162,35.020152985067966,35.381029741286895,31.461916502017566,32.46759350913336,36.71143865451745,34.48057257361581,30.557445385879088,35.363470418856764,39.12702397441623,34.62259049624217,35.420868050814995,39.37913813626313,38.218258098200664,35.50694677850692,38.8885376005624,36.578671945449265,42.1902281721659,38.34744851873655,38.66173229706575,42.74885102697446,45.41680599371822,49.82178151027869,50.02151311801482,50.24034411428347,47.86633580943287,49.24167899814604,45.96237440930047,48.15402806493143,47.641101783737156,41.748449981206655,42.6288256505169,44.54458078775934,41.13168512650658,38.25317266854039,39.5087175992396,39.5017673132955,36.19285246250399,33.05646947620116,33.623419872946265,35.40227555940023,39.241925522438336,40.90842716874281,42.66570481530256,46.82534929067013,43.1906164462588,39.74126483856208,43.59829012449643,45.05541006392297,40.11857416442692,40.346271383115734,44.16278428041692,43.10963069557144,40.31588879105401,44.82751627998019,46.425337139239154,43.01610031056825,43.72000483267703,47.2061321098596,44.95400291224079,46.404001816269684,43.956946204818486,46.49457936307578,46.4503883915838,40.731553199823495,41.899317869190575,43.68892316112242,41.25938814703805,37.61530061631534,42.40863488656588,41.94255672563541,36.590166709723874,36.469416301549835,40.85769713960105,39.66388046276391,35.84639306717035,32.6227256377322,35.07714324957381,32.57205782228893,36.08391999501244,31.72916205929941,32.09476681291025,30.5225917733753,28.30839217706493,27.143594408572934,27.410215289455795,25.922566663104284,29.171527226899254,25.96980399759532,27.24710355552632,24.073506780564045,29.23033366178866,31.413779093774338,35.07064503073961,34.101434806209866,29.92737623045199,33.739666187609416,34.69810495562298,29.083782360222663,30.31364454865573,34.64718824911429,34.94808442195412,33.919488578969585,35.54431600342624,36.314335266299466],[28.43677536258235,25.90320017909376,23.104521469941808,18.544099697543803,18.461172948104032,19.27983692940663,17.26844913843123,20.908779646396365,19.23834584636329,16.54075097945766,19.099685063741223,23.080645010612514,19.55897248662396,16.632736374783043,21.28955035702468,22.43123150730124,18.604689653201298,21.372595424241407,20.862965905072127,23.988659157200043,25.822556016898766,29.17376497835029,29.0476759018667,27.273791093914667,25.473886601702475,21.69030346464446,20.961289653237547,18.391345143836634,21.328938831930625,23.363556934170948,26.487146566933102,27.764825513713944,31.697988859496625,33.68073786674089,30.955517439680197,27.65624842302911,28.054886198237767,25.779661445478588,24.630112524351752,30.146170229436073,25.56504454524904,26.650555756134256,31.078029009181957,30.85069402132154,31.81417721972531,31.693708099793756,35.80158964314853,34.898819742404534,31.947524926541437,36.922874840054,38.844194839438146,39.99452484083596,40.60578447287823,35.94900681984089,39.967942737887554,41.81404893037743,37.497759959374726,37.07922654480478,41.720761874472174,40.83824588747504,36.52991128812611,38.227447701442436,36.83296271051579,37.089672970585596,34.53926169375618,31.749171119172676,28.4321082572298,26.74690816406674,23.399873935543685,22.970594057440298,21.31206489908508,23.78992207574413,26.273608111159533,28.205325225640788,28.961847283528293,35.19436053393301,33.48100412685827,37.292239817374714,35.96636727627889,36.46504681247505,35.50002723415419,34.36035193771825,34.418627978630205,33.764640566121166,29.838035202745758,29.286428016653744,29.93710099834614,32.490221049091424,30.768554835458147,35.22759914903855,32.434607708170894,35.38152127390917,32.93476024214933,32.19951341645429,27.88184159027845,29.101507805446822,25.2310431373096,28.533650997987994,27.352353082743644,31.24211836831637,30.000597619639034,30.890093592442902,29.938003223315068,29.72403295889751,31.471122160371596,28.047801338364668,31.60979874253166,30.10898207359001,27.521293490279668,27.524286534528954,23.848950109618404,20.993602000427998,18.265221849371603,15.329647332183017,14.23466763534819,11.427764731691502,13.637098495773007,11.589118171210899,16.01345141628965,16.673527749468914,13.49456398745295,12.46242242845296,8.050998059854075,9.211530490379735,11.568566776867522,12.87911556010439,17.769092481862792,18.628948258931562,21.948434880269964,25.301180645139294,24.684239960124348,29.21934724583449,27.968977882047234,29.1751185701058,24.045718254105804,20.242734210168017,19.312407859432536,14.8916628049607,11.171464610093482,13.28289524444216,11.696425568220526,16.027802804629253,15.979954452120058,15.20075548683816,19.20408912887557,19.283430251604656,16.771384584790354,18.687310746274584,20.408743405981173,20.098865181390494,24.0286255515101,24.939111697191194,29.963186819222468,31.63114437192454,30.541347737601704,29.501377004808027,25.887289455426483,26.648417602218625,24.76303429664354,24.759395379989847,21.55307462807074,22.578877997871086,18.815978864891935,23.22737591437768,22.872114901623476,19.450562965725084,23.46762629810107,24.38394820532835,23.101954733351715,19.12247881889032,20.668004134366086,18.426251091811448,22.64312800663633,24.614789669443464,26.129820868957626,28.757994931741145,27.134764665927477,32.56662623632395,30.348357110871767,31.97116319342254,28.679038971639596,27.73973017532284,30.78134993317867,32.07473070369704,28.641410601946824,29.921360348741466,28.155595583694662,31.843228781201443,28.375651859540497,31.18534196266932,31.440854810022756,29.749635717081443,29.821438396361312,28.67709790699893,29.951276825520264,30.987042516371936,27.18269580742521,29.817636417042134,29.0141969082957,28.453864733353054,32.892392869190545,32.57798356601127,28.55341735658951,30.076336971734438,34.03768659974875,31.235508650794145,27.714415606504758,32.68399119849389,35.87143194961763,31.12676213417313,32.296285296567795,36.143793868513775,34.457494775665964,31.993549693787052,35.75666346056554,33.81367970916165,39.37197735855612,36.46918836762966,36.465605050748806,40.39602394220959,43.48656070543435,47.81739109519617,48.275081017072615,48.19795153071095,45.974630166297125,47.37953098332856,43.91666728138152,46.60185237888968,46.26715409971222,40.11671925349602,41.131056556462084,43.66118613933406,40.24188887844468,37.2017913223456,38.81768936941077,39.30420133745111,35.769895812249324,32.61102229527926,32.35792874648488,33.781684095359296,37.613471704519036,38.69775719794946,40.26476011319859,44.08816254082323,40.260484751568974,36.913693647272886,40.647635320936786,41.67802967453087,36.61033301338628,37.03394823538731,40.52396233922194,39.17544564777478,36.584902436261956,41.31785773706378,42.57778169237919,38.98341917926454,40.15047094348598,43.78950176290238,41.84697414691562,43.44452490655796,41.08014255434586,44.02783687644282,43.93623808217681,38.1316050075189,39.697135996622,41.77318992511213,39.24159960821827,35.827471194210226,41.06943427251739,40.720365109853816,35.24305425583776,35.507272057543275,40.242283581826925,39.062702158082644,35.136276667365266,31.50602164867522,34.65232756475057,31.867170476919867,34.76227992195279,29.967562218475685,29.854272188318493,27.592361009427673,26.008627126933604,25.148325722949135,26.18591662301274,24.628867408829706,27.410754349051597,23.484743970588127,24.991461393815285,21.19669994140075,25.702274621863747,27.70237125193364,31.26479155329784,29.830020500487265,25.75377901516733,29.58704856045653,30.068558838237397,24.34760849000427,26.011207628625158,30.180860825115733,30.057551030260278,28.839090328882705,30.37222360617186,31.085372179515474],[28.318975994918226,25.357078954452817,21.611156646358253,17.922930388671496,16.19085153240717,18.65987328480735,16.557768066347315,20.196238844115328,19.878974116420707,17.360166534144977,20.491588281318993,23.8886483917544,19.679009681019608,18.091250756369952,22.540646762688198,22.825791063519763,18.686453427468653,21.60828048919987,21.15587560929335,23.285393562892793,25.343093881638225,27.9864340618258,28.237938767261596,26.253966557898696,23.967823215879193,20.772767198830653,19.371135374241554,17.195855153168353,20.50822601399162,22.518015190774726,26.948489016304723,27.373865328157212,31.70050123387389,33.61049837122291,30.29205713988665,26.93322631172261,26.62325688984202,23.935378312099537,22.112568655878494,26.94394094601751,22.525955916418706,24.67578674346162,28.8445375017932,28.03628119712217,28.985420994625333,28.33723677020233,32.57384956047683,31.860778875500095,28.362393023555118,33.04807927474578,35.28773248226384,36.245000483498984,37.25177401756643,32.68643495154267,37.089066471653226,39.02331586350938,34.89346927595332,34.90064672093583,39.6116081929712,38.59927209307831,34.82215747208628,37.161868645562464,36.10563369344492,36.685489283598955,33.658852771674056,30.818078905675904,28.531559573673956,27.02296706930704,24.541936657420234,24.57570976338215,23.429121962700968,26.49769249007005,28.278487221398557,29.636426203884568,29.845768410707993,35.86487455054502,33.302808669771096,37.09057772190165,35.12263476707473,34.99868503984554,33.61353756966495,31.753294569419438,31.65567735698515,30.36066902033544,26.37844479877709,26.62597782689736,27.90753973203698,30.765047805581812,29.77672207916694,34.70966283475472,32.549316504563805,36.09012658770314,33.86355899511106,33.04391622295219,28.816627652580785,30.682848421068712,26.934081165929552,29.14594436887597,27.689686996075437,31.216859980787717,29.291437946160165,29.39409347207123,28.032221541392136,27.160216274476706,27.94636396661229,24.502966816182667,27.71955428210385,25.726267038816033,23.460371966397037,24.07281896249105,20.804585499606567,17.84638569788117,16.32017579622848,12.823119406714534,13.369425049580483,10.14833439257304,12.943541167089212,10.677283999848047,16.354714230651485,17.25831349668349,14.879480446868081,13.823016041940678,9.136638469502781,9.287323376348308,11.182126477237615,9.9327471770928,15.338302297872355,14.992407744829801,17.84299295644682,20.883570808922528,19.751829144844955,24.207409028323276,22.621028764696632,24.272850935885085,18.826621453935214,15.396955180728499,14.027689165823654,9.701153595047904,6.119747320139523,8.949714430872916,8.066862588963422,12.995778918043447,13.713218228527463,12.315042624601512,16.312506565344652,17.068325312688618,14.40762431851873,16.75132306708385,18.068638257393573,18.71827657926831,22.27275212524848,24.297695900180518,28.939680294026793,31.52669114406364,30.6200828569743,28.88844250783531,25.201639497008685,25.033633840031797,23.24102890559112,22.0062608069597,18.06901377877531,19.741272529965148,15.061391461688997,19.52057783042152,18.204136122733,14.318468394315945,18.012214901268297,18.8280768848791,17.32724892836275,13.3872022219964,15.049222072168062,13.239977867824308,17.910374531334575,20.387686709798853,22.5222509976311,25.489431578326215,24.714150029203953,29.773593882047088,27.016489472430933,28.2832861560838,24.3882737551025,23.5635571040885,25.950908380138607,26.96521433314488,23.579436278571396,25.298706192218578,24.11370982174613,27.474411947217952,23.928441836975722,26.27184988434051,26.192145640569876,24.46853684842041,24.221257136530337,23.016836533036887,24.302485034788567,25.37312622260958,21.731334282435498,24.634747527475138,24.274878106591807,24.07598027310042,28.65082234699813,28.783747507039354,24.92800874962114,26.41811375191492,30.56061803461915,28.34198637493066,25.020671545972903,29.805708755858152,33.24462030990136,29.190553116229392,30.367822897636255,34.216860055838104,33.02661834631245,30.937515031668067,34.43409200520282,32.14905898082192,37.47753799942369,34.076198173567164,33.74599124249819,37.690222534688395,40.251695703066886,44.79012998899421,44.7777250641759,44.51743550065013,41.986733508752195,43.13519103832621,39.60561039691691,41.94731811496155,41.76027406311073,35.74074866074915,36.42581776815653,38.75193205058367,35.55323625469406,32.39591885146042,33.66689048992887,34.30341626455392,31.01873797326196,27.4126109257693,27.711344988259647,28.92315611513146,32.80065107286394,34.37031354318645,35.9103220965517,40.0646644632998,36.300991013292474,32.920188362588036,36.96753882037017,38.31444439454507,33.397747159873205,33.88638759707916,37.75963209770083,36.79054586165483,34.20810779327007,38.741272526478745,40.41588390605682,37.28840523376183,38.09964826516083,41.4925518583322,39.24583233851883,40.400925237696825,37.71110116523375,40.33757097479149,40.661451736880544,34.94434394674885,35.896167578579146,38.086977049457474,35.85984752165258,32.01081368034752,36.96039177090487,37.02789080033509,31.675669148134325,31.30217221275603,36.06337635040722,35.354963052284354,31.568401578645314,28.418520721016044,31.60891521436849,29.44031624730406,32.49017012501308,28.082603791625274,27.584849106833513,25.99522653340541,24.645152610573945,23.035017847570135,23.583421136438005,21.42320415129251,23.908628078037314,20.08963775346396,20.879317537422487,17.485928809625083,23.050729754644518,24.86068539366323,28.618734745105527,27.651837671826698,23.703764594387067,27.876325095155508,28.93829202245088,23.39016841654005,25.15342482770971,29.487551328656046,29.973526334477626,29.129423162901944,30.628969003590306,31.30735391475101],[32.810341527539634,29.84231083156761,26.12908763288683,22.533890997755744,20.85910439329548,23.650909694684607,21.52951299271703,25.035378079095775,24.617095570997876,21.707679028340326,24.551321593207877,28.074475498988516,23.478675973517753,21.698836569621104,25.728622090429827,25.950143411529467,21.409913365149713,23.48816635272453,21.858938152995908,24.034158793106297,25.28830072549301,27.60901891961414,27.285412104422136,24.740673356321043,23.08637666082663,20.38301281557462,19.78773908340247,18.575565074085546,22.508190599239548,25.23470650277715,29.370137885912325,30.38550397662472,34.64946160698413,35.98323494324628,32.61539670750916,28.86265519080412,29.032617971528722,25.374835149625063,23.22285107442899,27.544262133857494,22.46338714866857,24.71442598868492,28.705369868996613,27.612179013195494,27.854310078479664,26.939479014777266,31.10086016681128,31.037921940387747,27.705213702666,32.11272225376732,34.79869205079426,36.130172462068124,37.30341580676247,33.110537491282855,37.71075274019999,39.06341410889343,34.740932489118215,35.313196100544594,39.84094578846111,38.17812970401849,34.55054058303584,37.24986153272333,36.67753142917073,36.577656544025146,33.38809688453724,31.134984588683277,28.770164176469663,28.03579205459452,25.33827575482142,26.1752393541561,24.65261818976299,27.471377550339326,29.567873119855314,30.295155475831784,31.174488046780343,36.90886544131648,34.27680126323842,38.40058920553437,36.36561949653808,35.8946649304366,35.04320631218471,32.89016711818802,33.52012771521983,31.887558633293033,27.65621089200218,28.328232950936204,29.12264584966146,32.652834729605814,31.170569527647178,36.536374007534484,34.29612283059761,37.730784248401626,35.92730358772518,35.59420388912462,31.666139335829868,33.64141084671168,30.162094410246045,32.56617604561407,31.506633899981665,35.37975510768622,32.92764278770645,33.37627031669902,31.410892378786908,30.882826018282188,31.0750642140155,28.088948986154204,31.24625229479319,28.98286640251825,27.17824248299895,28.08017168256649,25.174405399325195,21.967958684781784,20.881236311506022,17.021045899666206,17.218630269094135,13.531913896132744,15.204620286257327,11.716772054296156,16.614511525225716,18.849200791879536,16.70066282373832,16.665875712175175,12.186004116770873,13.437701670809956,15.936660945714797,14.4934744853349,20.07894754305511,19.176928254170345,21.650705553823197,24.10686545193087,22.688428043515117,26.87677593896013,24.608420174768657,26.654537710244043,20.982471424808665,18.171886556173003,16.66200615828548,12.608085153296473,9.243688325994928,10.985941291151015,7.443674807309646,11.511656774561398,13.587309088365869,13.347489393770543,17.196210525014898,19.02810700220862,16.948950137282075,20.087441589203635,21.84292378982756,23.05177431138764,26.74731423067261,28.94653123730631,33.52943735962074,36.29349472979141,35.1519490901294,33.23108228280568,29.383774272003453,29.20642633428142,26.957939989882064,25.72298198486465,21.12634453974024,22.138901205391054,16.886408714687263,20.798121384531797,18.660428192791336,14.164542173453347,18.21836969223641,18.003499964714965,17.252998663552656,13.672119376761705,16.17118927531793,14.89069884449029,19.523193622534027,22.419907848173896,24.783339819191823,28.205656199843762,27.56423182260912,32.3864894317395,29.05567514824904,30.499705476952162,26.039865711737843,26.20790669640053,27.781448972931553,28.19560952596224,24.711005341997314,25.80157998080532,24.486737953906022,27.098633672972962,22.777313776277676,25.549545437464776,25.460989275232308,24.45340760406865,24.411926472549915,23.775848777343505,25.442705650384475,26.726314786379547,23.597128286712604,27.000438295504026,27.157290915051988,27.518266169495817,32.06075812106763,32.6406218776801,28.944162486398348,30.18084801302586,34.46193267914957,32.64468704121745,29.18324936382627,33.816332272131724,37.55599989653402,33.69851820798747,34.67157336883177,38.56243674671698,37.64907184320539,35.42591799876872,38.70756232895664,36.22126365560013,41.56831282521972,37.562104225610994,37.441160437410126,41.46666438016936,43.69594424884796,48.27599969542292,48.04325627814409,47.93503927300052,45.24751168558176,46.284376856160584,42.83343993782947,44.74723737048853,44.53763831654972,38.76417855574039,39.21194813100228,41.058878595886554,37.989913730805355,34.91340053081809,35.740394637056674,36.11200204002614,33.12626563332332,29.35869160582987,30.488904830633192,31.734866733837066,35.60125454616278,37.69711576959228,39.23007259877945,43.648638228849556,39.94019661782471,36.588054354248506,40.8319425570032,42.38310441937633,37.59462406100256,38.092644199892746,42.14134172856029,41.34475177214163,38.73512687200372,43.130758423905505,44.98671150423831,41.992954873959825,42.58795869190608,45.87364005839176,43.45455282872485,44.46088495638516,41.671277225720466,44.00260247862372,44.449747111380034,38.830531259732176,39.4256551985417,41.461360310223476,39.36474097857837,35.32343762199504,39.87383983139235,39.93992234641274,34.72977053091859,33.969849551661525,38.44026474855223,37.80360465052162,34.139590502611206,31.36104968365616,33.98523960709257,32.062692347932924,35.57584641622128,31.502092070061433,31.35658333362579,30.19874252791812,28.424291927007054,26.66397516530306,26.65370165819801,24.562490041220585,27.335740321781604,24.049768585558414,24.53168942404851,21.607404953999207,27.560054295472288,29.330146603277253,33.12557909876532,32.299263436070845,28.460884230506785,32.65533074143761,33.85271454879525,28.348892992049343,30.018266618092543,34.38427913097903,34.95604803653929,34.124193349567136,35.596380020071535,36.244467009210716],[34.99869593755279,32.20301686068115,28.719207711040006,24.735102869393216,23.286158212041904,25.06255632594796,22.451121697914868,25.57169054660269,24.42050602018465,20.888213225177378,23.180288677277282,26.95186867830112,22.253524011290075,19.89673720227982,23.525693804294573,24.009444927407902,19.368270306222396,20.833392526477,18.626414760167265,21.3741169620969,22.23908643046766,24.955595414154775,24.28336944484098,21.826801193530866,20.566336653433638,17.514129713701745,17.615315329644083,16.499734600033232,20.4856971869137,23.63867348460704,26.89256641473453,28.715827991842048,32.71603005955129,33.71508875326136,30.654899337629747,26.7280722050148,27.61173626099615,23.758160449353788,22.010618020448607,26.78399012144818,21.41007409494829,22.7348291236114,26.893618912369284,26.282444576330565,26.485907586889194,26.1358086120615,30.154764179402452,29.888598289906305,27.162872731087568,31.8569375921944,34.186789594035034,35.78779535384531,36.559055551391324,32.384621688938786,36.660843631025806,37.78256617917674,33.25796144561519,33.60374614677071,38.028090547804034,36.33485693046349,32.30560143328692,34.634533139840485,33.97861936939078,33.49379552548947,30.562359266944995,28.483913569499336,25.4823750134228,24.931152001977683,21.764044471875323,22.805487500917273,20.959615723936363,23.5180596914819,25.899184465798452,26.5493328448519,27.92074142013655,33.62463179066126,31.394210205822453,35.666909989999375,33.98423673942633,33.79503395173712,33.458196055332714,31.762977605863853,32.84541288580068,31.655073532771457,27.370405010563186,27.479010365627506,27.5577265906638,31.15933684020121,28.947606503154482,34.22059344489602,31.596397830444296,34.68808192244826,33.009664445408085,33.00310884091342,29.259460963828587,31.073031185522233,27.808809740226337,30.721747262657036,30.1402506798767,34.523892104915234,31.92160983887496,33.211185921507195,30.98791785966901,31.31000269534289,31.93094975006535,29.383840186898244,33.02593422612148,31.220569310433543,29.580897998048894,29.872149136118644,27.006829874309236,23.310515736338697,21.678694207732487,17.694304840542483,16.560962086223523,12.763940931507562,13.341768222852258,9.410322210225047,13.201917874229283,15.927442425129058,13.674775725225725,14.384940168331362,10.445941421997679,12.857438659594651,16.19272336657556,15.901242056697562,21.79571464561305,21.18658145111514,23.99444574583091,26.188512987000042,25.649034423429146,29.750466771106726,27.409229122449492,28.801800135223242,23.477445294985984,20.31579596767351,19.887428990999993,15.197868142896697,11.35812632009938,11.921631953377018,7.430065176750669,10.489300941012143,11.860301431333312,12.494599618457126,16.264090141846996,17.9439837573005,16.28460826732972,19.624761355811287,22.04439336704423,23.161600958186778,27.354801734573428,29.077391267872596,33.82605549057606,36.36722551545337,34.72402203068149,32.90459210256954,28.90977408361668,29.321305763797763,26.53608042404397,26.26743299950005,21.771375006730853,21.78349555327417,17.117691143951582,20.77187143160087,19.58706491150806,15.849351661768035,20.42466745058078,20.58791894348959,20.50086339329967,16.7352657210757,18.955602429807442,16.90400908363206,20.854593732442847,23.29547549114109,25.09556513283044,28.46362575991582,27.147469747012636,32.14772633246141,28.98587733611824,30.896494316255495,26.831292129920257,27.418630555906912,29.412629266189363,29.9807976734914,26.369065498018156,26.625739040568703,24.562972383605402,27.44862781326944,23.25558018205024,26.664097509284733,27.1494737964282,26.20639140726357,26.888580872181983,26.602096173868258,28.52841848917545,30.194154918160436,27.19681419198169,30.497516146002518,30.752622177342936,30.624094115371925,35.36640027056251,35.50614948192314,31.77454351378689,33.489508445498664,37.61235616954445,35.420730817476645,32.273022975029114,37.045292219842885,40.39599948431358,36.34943978609883,37.584545767406,41.42702165003226,40.08838318120469,37.96717574492055,41.54513916150823,39.30394338441241,44.69214764203423,41.179400265331736,40.95827343258922,44.92144814554861,47.389613086196654,51.926342202730325,51.82896686646675,51.533624243498544,48.86113503981828,49.82115856197675,46.17441774612475,48.27931890125753,48.28889577494889,42.40514939083821,42.758335003201196,44.89566371550027,41.94547934101277,38.72241324593923,39.51749767211233,40.24297286614849,37.27139911569915,33.277938284343875,34.24895034674859,35.024206151326844,38.92085862111785,40.85277451817538,42.08212962878563,46.39641560978315,42.39175158375651,39.20664025926996,43.606424393792174,44.774193127466596,39.8886751087105,40.7316681029676,44.560030391603874,43.522693505832756,41.162872190559845,45.76595970061822,47.355574474818795,44.21322502627651,45.22637675964418,48.640884158922,46.440605069714856,47.509849630408034,44.6978768740796,47.28563831153841,47.79780263885972,42.11294100735319,42.87065696199207,45.121799702199546,42.99139444555803,39.020022017024694,43.770550617684535,43.93105788558936,38.65478784540499,38.0134672543129,42.628999213601936,42.00804245745743,38.29185521340325,35.32089673774839,38.14748099827497,36.019698336863435,39.351608988130074,35.016655095642626,34.75920222719282,33.14014389847318,31.579802349264142,30.093254020434266,30.457786662954373,28.41415534713352,31.028245210727057,27.287697346388935,27.76227585381268,24.36511593793476,30.064086276518406,31.52485162348684,35.31395006729203,33.91855631124924,30.330801586978,34.68400403867955,35.34306117805261,29.653027257805153,31.8899226168141,36.10787869323134,36.13508947628328,35.00040767036366,36.298128193152756,36.769607310262046],[33.972039939748925,31.25107893773759,27.790212211400288,23.74465994616718,22.169987059800036,23.320318336885673,20.388292370293016,23.209664791687366,21.829773132485247,18.072078907311194,20.204155257228674,23.974373524188845,19.267678014380046,16.842864458703193,20.399520795041248,20.932618053957402,16.354044933748995,17.956173537555916,16.150769705611534,19.04879741245896,20.27351881823605,23.303264622802654,22.90449971445716,20.872368690168663,19.289325147862968,15.79846691266399,15.630374860909466,14.00672081204873,17.754526063714934,20.792113672998806,23.894026391405347,25.752071337322224,29.698746205193252,30.805662605796154,27.846155069432417,24.01787453074708,24.95511757711724,21.458817554903263,20.042483798132032,25.26701879356717,20.125255824412278,21.05248005872109,25.394616791921695,25.08155715449184,25.69189865221245,25.69274336294176,29.697752030780332,28.971401791103023,26.369196065496453,31.334073598509516,33.287746152668845,34.77936949893892,35.32138438042168,30.93399615507772,34.9998128002137,36.33605121073168,31.842666867732863,31.80989624973952,36.29979247042906,34.9614678170758,30.72236704069478,32.732440711360155,31.78229889069838,31.584073428789345,28.802180472191882,26.42762683727587,23.295487406193068,22.368194458077348,19.215112435430186,19.94390620096178,18.237012853025284,20.95838766567149,23.170881135051552,24.086723947334633,25.200120254096277,31.054747768243985,28.929630273376684,33.09165124915344,31.534778587922933,31.614451230024198,31.187642852342144,29.81584630919256,30.739170678497125,29.8888823653152,25.710505016075103,25.370602756011845,25.39410911337409,28.70074861132699,26.46096591436159,31.52149868279638,28.81933030264086,31.8948067510377,30.07119768542953,29.961864313483282,26.162932292502116,27.951068533926435,24.67955537305947,27.616202349102657,27.088614045426933,31.57093021347909,29.010743804887056,30.54118761146185,28.381161856467447,28.985358432646926,30.008507326528196,27.55440568124053,31.448693618812776,29.998271948029977,28.34681574917183,28.2042095273442,25.332099623962034,21.44153292779924,19.480356907254706,15.55493350381766,13.819534220125554,10.119095228383191,10.505545703836924,6.8859118077450265,10.878414322147101,13.055972870407611,10.68805300461602,11.310744970431436,7.578238516267066,10.306826428673219,13.932464412002776,14.230957350209591,20.13740124743097,19.75384016962128,22.782209199501708,24.936748880124156,25.02075438855749,29.110709010347076,26.984911225660976,27.851517251869723,22.851621718049202,19.322514603829834,19.608492017241424,14.5876352352093,10.622845030537073,10.724060740304083,7.182666005343087,10.23545324638071,10.373888953501208,10.738673114655093,14.521201980621889,15.606855637895064,13.913650208202617,17.05854850236899,19.66377010970103,20.61900332650388,24.986911648630258,26.47640934582601,31.25681230103943,33.72254345797756,31.899474540221732,30.11329901307122,26.09850981473762,26.75273762077627,23.847565286952342,24.038552891649363,19.840472516412305,19.59724251123162,15.499633926020618,19.247156990587698,18.917710901203368,15.862293669881554,20.48004059982891,21.321092238188278,21.20306774764432,17.20630219790264,18.930880364371003,16.2962512414239,19.84361506163333,21.855306976201348,23.271370145598095,26.418175408455824,24.74118399542404,29.907759318206715,27.065325089527995,29.10731230525659,25.490920944095155,25.880683275091197,28.403784778391923,29.309890630164773,25.69647381191118,25.85062893877516,23.520266574066024,26.91294309205036,23.268110093302646,26.668427476798463,27.453640214884572,26.158339631103072,27.069684457500326,26.703306716063246,28.599724065130715,30.39741112441684,27.307166746206065,30.347754629527707,30.527283823656248,29.910232481500163,34.76292628971332,34.497358310478575,30.75644725567464,32.873326699572154,36.81311329013962,34.33102193224063,31.54795807201529,36.37681493097173,39.34142323065953,35.26140862916699,36.756706787976555,40.50696287532106,38.86144011413739,36.973424687164574,40.7647541781682,38.73392001167669,44.04307633205649,41.06779831483253,40.6174865621138,44.471882474399514,47.128558338352114,51.6265627257679,51.62869528666469,51.1021637395459,48.469362006119155,49.37741449558549,45.571903669085835,47.92587053144357,48.114811740593794,42.106814122217315,42.44247833752764,44.93912266615275,42.064173286865376,38.707860603884036,39.6162247381043,40.710314708564546,37.6781752849163,33.5490397268821,34.1541069209769,34.55709526039237,38.45680473687271,40.11949302647889,41.14028454249961,45.29566739402321,41.11040623076054,38.04179456694829,42.4780942888776,43.34911730550073,38.41073066779119,39.48356858980901,43.12490844310222,41.92776744229717,39.77181513820329,44.4995763711703,45.89663679782484,42.70836252226013,44.026754876259204,47.50387339578745,45.48432564129589,46.568677485466935,43.74469531446242,46.55570566812135,47.13333432219145,41.42239992344971,42.32159993848462,44.79186130190457,42.657208970953924,38.76517956611099,43.731656537687634,44.03907371027409,38.72202233503175,38.20864896802068,43.02204590134849,42.483338368982444,38.72592094819799,35.589029638211024,38.78455331846307,36.56237182647676,39.56793373799682,35.029083670695776,34.466044774450204,32.504808505731056,31.343576474106086,29.976084829025115,30.720538110984084,28.58602051368599,30.880834495307905,26.702186875725886,27.1450265999097,23.390227835791855,28.82577455391861,30.02160779458526,33.76862324045883,32.01299112135969,28.643833402305766,33.09706970615095,33.41750516948136,27.692796316740957,30.365857200869353,34.43080550529276,34.153293380545456,32.8999021688718,34.07895634723495,34.42986201744296],[35.01856134901866,32.493210571487225,29.369321136547924,25.063550229373284,23.985609810935927,24.484897957879756,21.5277867993676,24.18451996864695,22.234448163829917,18.322761907930307,19.996059828297856,23.947379411117456,19.52078006865817,16.525644760527054,19.85794239276251,20.76010863488389,16.369328484530527,17.583526486871737,15.525449665919215,18.965267388370407,19.924504587296667,23.31101593531046,22.65607348476559,20.78362003146283,19.55845018278453,15.80807620175618,16.181292395551726,14.540572020172288,18.024367301419762,21.15273549551419,23.4112145498685,25.840628463631397,29.510984134001845,30.49608305549172,27.87693181918236,24.057166185284476,25.475005248190925,22.112783091019583,21.094937529046465,26.55870774270828,21.406194468539134,21.633452520151447,26.02167532812644,26.07020851294431,26.67093177680846,27.029224735790685,30.87292155357651,30.02836635153941,27.83845020369749,32.88787347844216,34.603523255797235,36.225560652507596,36.51187951138096,32.16573896377274,35.94586444991674,37.17203215133686,32.61285280692412,32.36761849392012,36.739829811635914,35.45140053310443,30.949561421020196,32.59050108079296,31.50401417030644,31.055367855884093,28.561659225030112,26.294702230148516,22.5892969021016,21.69238414399574,18.056356905272082,18.721824087830388,16.68945289143577,19.04415020124693,21.635986116659957,22.704787850450415,24.218706336001283,30.086331294448463,28.42624844925519,32.619885646607834,31.41990693210922,31.804968526216804,31.700245341144157,30.729882702673255,31.836268569517003,31.323458127391564,27.215065861415738,26.462484715439977,26.042884122861317,29.225488937011246,26.514422190413587,31.32959554746639,28.296353020766432,31.012542191188487,29.182864654276603,29.23972566189527,25.53090280840191,27.028161311129438,23.850892067679165,27.30200726127863,27.052362919866813,31.770769175159742,29.392661398058067,31.410881223222052,29.32462688405923,30.367760591257777,31.771585014611848,29.453434581149814,33.51443133864684,32.30581375529281,30.59999792042855,30.172140603635533,27.218603531869498,23.325863945465745,20.95315297522436,17.293332361085433,14.813596428338926,11.497715025512308,11.220841492251063,7.991361334462368,10.34542046655437,12.594586784008929,9.976275857785538,11.049261112934229,8.134387999499463,11.330926674406038,15.066310150268539,16.246907008334986,21.913285044684837,21.91513022116102,25.085023667385673,27.272849644024152,27.631131757712524,31.7189962386309,29.691462073359315,30.3156303492788,25.509599782599466,21.85597140018205,22.36213099619889,17.32457143461532,13.390788090077793,13.312363875396864,9.913971156043624,12.142162874118473,11.716736348891905,12.549307409687689,16.023422174979117,16.781038297555504,15.362195848277969,18.279879307961643,21.102934765700304,21.725985952123754,26.2394551805851,27.250723616951184,32.11583415627417,34.22774366954891,32.21452316670302,30.68172703902338,26.70081338054063,27.799374209214108,24.75571482663652,25.586214303325846,21.72210700291904,21.036073894104117,17.52631375101379,21.055636395991478,21.252751586117597,18.537797874435253,23.220245206676257,24.125962375040253,24.131888761934494,20.14462884412324,21.78966923218856,18.99965985702737,22.236205024214595,23.960998048444843,25.028975314004143,28.0004137865544,25.903319692088047,31.161028410820812,28.567923046742294,30.81107033961683,27.531332138280654,27.970191768171023,30.74259186259728,31.752820171844945,28.145059348607205,27.99112201893939,25.351821912361693,28.852742285967917,25.33120395862765,28.952064827894965,29.940108529483275,28.68482213426984,29.803336899994985,29.508337213299786,31.423659641000853,33.25663289850429,30.146579024427943,33.08902635596452,33.153732637148664,32.362797551832294,37.19541998813246,36.7271471478054,32.94632690445099,35.14588822496048,38.997509287612026,36.289551878581264,33.51763345683691,38.406571787789446,41.21604997927777,36.920123567696024,38.45728966469689,42.18338532207911,40.31360749125654,38.34627250181266,42.26071184587772,40.38696166959036,45.74523704414696,43.01439265464015,42.64218104780716,46.47414188510221,49.31929603042813,53.752936731383045,53.911478329318605,53.40305152264645,50.86407851998062,51.83133740738754,48.008912000332394,50.49365394479633,50.68603168537956,44.62901623075101,45.03916274866215,47.64549991232142,44.73030550437374,41.38608989483651,42.395684480368956,43.496099673358735,40.38841360787167,36.35368076366308,36.77625402283244,37.166494971559175,41.048480398705436,42.53898851999849,43.50650567193105,47.53584635478901,43.28159708716842,40.268023407068505,44.63104604417341,45.327892263138246,40.34464993260131,41.464671894004525,44.93772105048184,43.58184039588641,41.48862929059833,46.30061595888477,47.51366568235274,44.168823276801795,45.67939538737036,49.2463642585632,47.364699200633716,48.58721189154028,45.857315678178,48.80458274211723,49.27618962071901,43.53614976896669,44.641252308932714,47.11504021132245,44.88798105974586,41.13714469781201,46.21917093448479,46.41654915432668,41.0602072838645,40.74961252526061,45.57861912084307,44.90416982714097,41.09799027166928,37.79759746377195,41.008221314725944,38.57681270110939,41.50840980371602,36.8242369018789,36.35694071800593,34.14115182484921,32.95146867187149,31.839740393809922,32.76768527265585,30.81004425761677,33.16986206577796,28.905710734413788,29.546307427031426,25.634528547142814,30.697877456710806,31.87516841091161,35.542323205855,33.54407133003154,30.224765711363016,34.578208942081154,34.60772589633946,28.85571553223442,31.59727861660182,35.541807169490504,34.962291340203244,33.5365682207934,34.67158535493281,34.96683341228744],[34.9929263830328,32.662432641785074,29.915560226559858,25.373292857968366,24.85669066246072,24.705063281560683,21.834671603799464,24.41282228369162,21.924672699586203,18.06270658374507,19.381065772582776,23.5058145287447,19.581969044143282,16.01930839441536,19.3631211150028,20.715606483089644,16.727606384592004,17.918185545981533,16.100243785296083,19.95399219720693,20.862762894426275,24.560005746996875,23.80329747898688,22.182405392662705,21.190233941345532,17.257020156456562,17.857180291331254,15.941216722296456,18.91273986967665,21.806921199965497,23.35087536465196,26.09359811232091,29.505964463115784,30.59275107106921,28.329100902284388,24.687949142691277,26.348207381423254,23.449175237547433,22.834303410807227,28.51354457171623,23.552023102974864,23.2787639186593,27.683922178376516,28.015005593065474,28.70256723061157,29.280421206237833,33.00039866162903,32.020596798182346,30.051132464741656,35.16273265189064,36.67444137968583,38.30829722866102,38.41992782405683,34.03732807332965,37.57242398427107,38.83394554768773,34.288625158913185,33.76826141318303,38.08288852370088,36.961438109467004,32.26143160612401,33.496676826715664,32.180268910540406,31.663780307825157,29.499676602433524,27.22640461770522,23.06434113686703,21.97791060480443,17.964315789686,18.209479132305894,15.943781756675612,17.87458292093047,20.842214732100132,22.320450478832907,24.042579037378406,29.965313966751083,28.808417531109036,32.899165441890396,32.060147563666455,32.80829627566119,32.82791249730327,32.25335726042701,33.29443012397141,33.114794426713125,29.141595070916715,27.998601963870907,27.394597910183155,30.24604245541379,27.30700279684467,31.71740333090813,28.41434459141575,30.780886861889094,28.802938065303128,28.843586521409055,25.111375142887535,26.22320667789701,23.006865042133022,26.959315986549054,26.81139394319837,31.58621164228644,29.644495940797633,31.945388663842746,30.17348105833486,31.4187114535993,33.288664874528685,30.925192912699885,35.06745258172828,34.087714122761604,32.187655926566805,31.509022593514803,28.376594550511037,24.64177821254174,21.80005985955386,18.535347276314898,15.579694088629187,12.799607318394202,12.481824922020973,10.106392820682121,11.411519072723614,13.061740396437346,10.120956248986733,11.017276575098265,8.79076151152511,11.96947910316175,15.536089780115198,17.590908623279738,22.879249173055197,23.384525947726946,26.72588770193241,29.12231527001948,29.64248323551791,33.78703993733865,32.00437991146112,32.452157334547834,27.804725314576338,23.990823133822,24.53795851547422,19.547660995201845,15.664169131058127,15.753741310018027,12.86337084970884,14.960697254330041,14.156430179588913,14.906509470454855,18.187138099310566,18.408091510761366,17.006747156899046,19.439252202070808,22.246486774552498,22.35636193600029,26.905939787938518,27.394619012207976,32.37219536480666,34.0298740743848,31.94723539308378,30.78032807230065,26.922631533254766,28.419865402954496,25.466985856819086,26.800334995868393,23.422743602226067,22.663542407041575,19.71901921248762,23.224042944152007,23.845414660783252,21.33836795354148,25.95132604326792,26.981942772397165,26.879128731314385,22.867338555893262,24.3780591840463,21.492939122167808,24.602981603933728,26.07632440339333,26.871316537956595,29.56712377875432,27.14378398354751,32.49513475413039,30.278197964450886,32.58760082498375,29.680165099390134,29.874388691947495,32.97665549854043,34.16793779528369,30.60124598540469,30.442150484990783,27.681885911783937,31.3493037250344,28.016386911422625,31.64855411581167,32.731285036820395,31.380709898927474,32.509085339514634,32.123645848608575,33.94299782893902,35.691705786084285,32.43511378780707,35.212506047870384,35.02855337969581,34.05734855887761,38.81621392196688,38.13112324881326,34.28504980225964,36.50393495083264,40.25614327045913,37.29318040705124,34.48469471694812,39.42982591652434,42.08661287638355,37.532552467416444,39.08564610514833,42.77771048367775,40.68679422242137,38.6188159830363,42.63554425147334,40.936755367055554,46.34513291735281,43.9075176862789,43.625576534312074,47.425417834777555,50.507884828430136,54.84657979043909,55.228411871967346,54.77064033859074,52.376641456698984,53.45618439545615,49.66560635223899,52.33228840096954,52.46172578115952,46.32596590677406,46.90167782257933,49.63774001700933,46.612179011072925,43.31032127246917,44.51505168506766,45.57766266677854,42.3349109951164,38.506659843055864,38.61569696462099,39.10791971975293,42.97270301078031,44.19952725706426,45.18900830121243,49.033693283981194,44.77098450254979,41.775263388841175,45.96087476335371,46.50622873335703,41.46882779397124,42.5524929553524,45.83219781501022,44.30581019736251,42.22958841964494,47.11417521958294,48.12966920384586,44.596640935652246,46.27765673319662,49.939098741026925,48.21063394190258,49.62109238688054,47.04160988951562,50.14616467400888,50.43550564303445,44.66731363619624,46.05042227042362,48.489921406858194,46.136355501204875,42.58513002461387,47.8180251238429,47.8546921248501,42.448209639721156,42.422101491898694,47.266899949903944,46.409105558315254,42.549156721909824,39.04109251274752,42.29149501325477,39.62752723566842,42.42712344989613,37.58810081316761,37.20673181850802,34.707082525365024,33.51817155547053,32.69907792185822,33.85809848394112,32.11097992170608,34.517283648829164,30.183372698356166,31.11851973841067,27.048592505934757,31.635296165694747,32.88274979427589,36.442898364934905,34.266522978870555,30.90961813046196,35.090746212480504,34.868637046317794,29.107532235950792,31.813513794716624,35.64181041371139,34.79490676842242,33.213735700372915,34.316017268866894,34.6121581950343]],"stdvs":[[0.530675770150892,0.5229676889375879,0.5650418704060551,0.4483881749512795,0.5321378075090105,0.5095530989623535,0.49617605542079696,0.5169349917445,0.562454040273717,0.562709381324859,0.5843863834931732,0.5985684390478949,0.6063907681936899,0.6160803784284913,0.6654794164689757,0.6050800913466614,0.5797065315655225,0.6255826344509299,0.7591513582084221,0.6641382637589935,0.7662341369475348,0.8544108395121467,0.9873749811189028,1.0846382684571787,0.9005745580441581,0.810949966330647,0.6262881685732444,0.5547664078553507,0.6019239838564993,0.5701387568873705,0.6656034187903566,0.5607782768037576,0.5910364261424186,0.6512497751818345,0.6142291891674285,0.6579338711941868,0.5613179347499071,0.6484997792857772,0.567030775802578,0.5642259539638091,0.6739042302415533,0.7355288916796491,0.6914912025347025,0.6785023228307431,1.00948399236592,1.3223415438536568,1.407444661891395,0.8688700647848355,1.375518734729313,1.87810349436426,1.4414384378571052,2.008461726981369,1.8710068645862055,2.183225560590104,1.8004009466627389,1.2244781487759173,1.22137120923734,1.1313985882992785,1.029076152696919,1.5751876913179808,1.0728321233833995,0.8003652009692367,0.7150384424476236,0.9488840839460422,0.8681965270239443,0.716118701061,0.7864193592933152,0.6832783759195845,0.8068321479320614,0.7931530430165159,0.9570442886374214,1.165581652027829,0.8265174806017864,0.8246289528825117,0.7528516539594361,0.8036806974108914,0.7075234364118596,0.6515911906723441,0.6514847896434595,0.6816755826753012,0.5129179575214929,0.5681626913131893,0.8035153114924923,0.8201431859172981,0.5787934511415478,0.5257976871002613,0.5489279052187973,0.6071070438603842,0.6394132222506617,0.651744994690855,0.665692333396735,0.7491608443903764,0.7699215890338011,0.6517418863025165,0.62577461959769,0.6724508710132833,0.7270477558497058,0.6119268797252712,0.5874265204429109,0.5551131565333557,0.5763076282448802,0.5011066100298834,0.5405157504392575,0.483917049156451,0.9448088565891641,0.47677374706058323,0.5593203549752174,0.4929849598663909,0.4353069870602349,0.49008947544036374,0.4312926667524759,0.4848404951556164,0.43713175774086355,0.42832026881565716,0.46953243100352343,0.45475824899112227,0.4898366519126332,0.4508618861720617,0.5801726091417015,0.5294846917056808,0.5221157800046454,0.5225864911690096,0.5620862587191198,0.5566476481104932,0.5698321543810675,0.5963947085694669,0.5716261477192089,0.5417710340647296,0.420403089721478,0.4694524902544446,0.4191254638108608,0.43360067268775593,0.4659537424710462,0.37095502267299846,0.35857512017518994,0.4280618056795738,0.45625853572214675,0.29061616002488083,0.3004044234999206,0.44331761179563994,0.4538942161776572,0.6975842279188789,0.5015113083706774,0.5234046823788152,0.6410301988621655,0.5551502077569364,0.5350510778597408,0.5315594481689945,0.48277583225512966,0.48812574081229126,0.577746254101355,0.5065556290193245,0.6337884845123256,0.9901407086724222,0.7861401066740202,0.5126589194476517,0.54178567310566,0.4747059324309983,0.517229521678009,0.4671200011508524,0.45664449242583827,0.4998718558559039,0.47837295923701034,0.476541821872326,0.4053765533358569,0.3506125627442697,0.5303016626548581,0.7422269033530186,0.6695206838225563,0.5958900254663072,0.4247184417065367,0.36545903076680536,0.3945839967485374,0.42857174299806167,0.44922813474870876,0.48230599484167475,0.5102720398419748,0.48813515074974406,0.4882441769457146,0.5087540527673463,0.4923487990294888,0.44008658517507976,0.4848327134934347,0.4897189182885528,0.443840078604652,0.6529992835801602,0.776550600571278,1.0471619666372458,1.7346662671465014,1.2960152658857955,0.9819460928035307,1.7134706868016956,1.1092716796398736,0.9187808350447056,0.8946263597008982,1.052902078893131,0.5926463937661358,0.6247268478298743,0.5415682885265644,0.5010716733774045,0.5282370346751106,0.4910208179355695,0.45425710490700877,0.4766640245260183,0.4649006313736075,0.4850800901644775,0.5313633496043058,0.5127850619372188,0.48778445601547044,0.5700926772268323,0.5592701487792348,0.5272320935957344,0.6045080374699376,0.7693584527471703,0.6626722504462564,0.7036132007808606,0.7229229242673004,0.699074072004808,0.5657029177769992,0.5802255296533332,0.6913252427868871,1.340769158190754,1.1392462583999654,1.0275736231586203,0.9358101620304929,0.7296037631130993,0.6685042304201452,0.8306476582357422,0.7408203348672432,0.6933087266246093,0.6949540391075091,0.8697277016283419,0.7335146979242413,0.6680229007641396,0.9498989480468755,0.8730386571898786,0.863445043492494,0.8552979426901347,0.5824275441022237,0.6673511817665824,0.6836564494688844,0.6325188046955655,0.6659529894189518,0.6589979147788544,0.7381896725448134,0.6453941416009323,0.7353030995971387,0.6492138562923666,0.6380826129695957,0.5421050387812641,0.5656287802530721,0.6651047425685586,0.5450276152128264,0.5725248802742602,0.5901998143580557,0.7869620822886886,0.5870068999232799,0.5406835063123558,0.5305456559758552,0.5000346515051599,0.5325855209118976,0.6943559860527794,0.5267880938854707,0.5100861009021388,0.5414886469957987,0.5864156190722002,0.5903777254810716,0.5755358263851432,0.6363408873702278,0.8448993038023188,0.7084877201958734,0.7006991264319832,1.1359680863613995,1.3247418954383925,0.995711955009115,0.9367306628478743,1.639653595564881,1.7337727853036895,1.0061827996864985,0.820576709261524,0.6719045862838419,0.851544135898348,0.911526789845914,0.7920846734580994,0.7710411511459723,0.7629709507713863,0.6357405980522768,0.4795441631926552,0.44628249665536684,0.39905032137138396,0.4409585961563377,0.4268150312613711,0.4371123117899085,0.9507329606332384,0.592818141480167,0.5144293049557358,0.8029589948999626,0.7842763403521084,0.822057028926396,0.6963966231028142,0.8671015631770602,1.7310504684876526,2.361836838947987,4.206124457377166],[0.5380115089734491,0.5171439904549382,0.5716930905688761,0.4193791939908597,0.5293758808519436,0.4939342259617931,0.45206676241288746,0.5085425148259313,0.4709972883692692,0.4184261693011621,0.4249357254713239,0.46825803581489844,0.433053374957086,0.40766644300059324,0.4560211457624732,0.4206796728545409,0.4054847953390256,0.4040330523194962,0.4907254481528195,0.4397258035476226,0.5474208954734562,0.7013382874130494,0.7998200126513144,0.8994076707881387,0.7308520652682545,0.5973967855708218,0.4969448894904424,0.33955173909892716,0.40379184507022614,0.3728773790241538,0.44933689991263337,0.38134972253450933,0.4381841783287262,0.4262210436091823,0.4158272090353601,0.4453230996770782,0.4128136842894778,0.4884712365356365,0.3902811085853115,0.5180899448361823,0.6554057983601175,0.6095396649808532,0.5763791436692395,0.5988773854400566,0.9972499256219226,1.332783955274793,1.3716288994101833,0.7861589669785911,1.3861017054223146,1.8686367769031997,1.2715141619381287,1.8659523439650336,1.7268949592017886,1.9605180586974862,1.7083440747745553,1.0912554734211626,1.117807438772536,0.9892277498830969,0.9556190862715603,1.5135495101965677,0.9849947458263258,0.6636533213187611,0.5157331647588468,0.7323162387984643,0.6993550402569111,0.5326894142368208,0.5662633350233146,0.428546826910627,0.5588913454894491,0.5848431586355327,0.7580261562562219,0.9775443802415131,0.6143940631319131,0.6241191092276217,0.5466963320971638,0.6474195048691758,0.4899053789287162,0.43916490548993753,0.466198101367428,0.5119529241646432,0.42620427511558867,0.5010367371445932,0.7645791951969352,0.7037339958521834,0.5649963256464846,0.4211317886656885,0.4109212915561704,0.506565148001472,0.4403657902304841,0.5040675040473965,0.4412655040881426,0.5660722666386232,0.5764179549922079,0.4386437768328814,0.4246918203807157,0.4709249758446794,0.5577630153361912,0.44969307345211035,0.45903017375048666,0.47565307808551494,0.43666483973500886,0.49086053739654995,0.4611329229100388,0.474552896476378,0.8932484969589685,0.4785176465749003,0.5285988339734509,0.48847709440255155,0.41448238628302936,0.4658941675570724,0.4182953992498385,0.44936104996069376,0.41019996132838776,0.34849174223166324,0.34026808522001256,0.349733082779586,0.3885206760932743,0.31363213948820584,0.4397238246337446,0.37141711674076455,0.40080138310787433,0.3891676207411472,0.4466897044078974,0.38774649873891126,0.46204987829582744,0.47113330736734876,0.5339227095039626,0.5169612537043033,0.4014717292790996,0.45452737231469126,0.3844998071305248,0.38617226803900156,0.43960729221151457,0.3694059863686205,0.3614840098383967,0.3934524633876809,0.46795817176179627,0.26441978231927155,0.1998886647324282,0.2846633669476279,0.2663814249679261,0.56716319806271,0.31033322908106964,0.31319509541515955,0.5335256763479985,0.35009367128853947,0.3542730355392032,0.384082162379006,0.3846871761324024,0.43314973024284925,0.4957125074540014,0.46567143624001206,0.6634333449967361,1.0339424537449684,0.7322723374933612,0.42925982449596506,0.4349984279258959,0.39734945294074253,0.4161729169642444,0.44472694741395735,0.3970096807123468,0.3717473800709015,0.3366249761752097,0.38966706904590065,0.38859825929741326,0.43977779939575223,0.543639569287714,0.7387069024603935,0.6968941189909305,0.6367864368053341,0.47720640421437194,0.36343555918203524,0.3624281703986792,0.37547444889215204,0.3691036469159962,0.4009403238553683,0.4298221045064542,0.43147204123146704,0.42709313117346775,0.45028649530876363,0.48896933166016326,0.4190232567282612,0.4604722404568792,0.5139555841568813,0.5012400692561748,0.6595165207859542,0.799757760401684,1.036694634500589,1.6801946409242505,1.1711405153815104,0.9482022603320341,1.4678977735857224,1.006350303512065,0.8566805028903326,0.7739318299206538,0.9193849506466514,0.5125637441829082,0.5754779140835908,0.48901380445132137,0.45567445008819535,0.4770086969977132,0.45516447969240315,0.42285278682567784,0.4396010779375086,0.42947179262787377,0.47569145919113026,0.5083126272708127,0.484569039290783,0.47438943178170284,0.568587887632197,0.5530291595053126,0.5217132092504133,0.6120217384970154,0.7711725370839287,0.6664034861318769,0.6942455073098838,0.7024721410895862,0.6526385505256836,0.5183213584361811,0.5301611473822817,0.629746554354213,1.2748069961151918,1.0641405277852694,1.0351596303902142,0.8849227651908025,0.6511971240135115,0.5918673448813455,0.7404611184992398,0.6888574709753075,0.6138434494565346,0.612494750198193,0.7841728237336789,0.6614439766961062,0.5738671854286563,0.8652031645604616,0.7618571590838538,0.7688363062025807,0.7607074081764447,0.5180178203940042,0.6261741421468097,0.6170130714396762,0.5882228111668489,0.6475712217445113,0.6588730997984807,0.7608124929999586,0.6540292032626687,0.7069996402006237,0.6291750061966613,0.6266998749688973,0.5174696025753491,0.535938281475557,0.637125687152444,0.537451637632619,0.5457413645751213,0.5643368591198417,0.7871396840599543,0.5732468582389694,0.5335111166558675,0.5223274890280913,0.47372991517707697,0.5052178259916116,0.633612868749145,0.4801993549241099,0.46426365763222166,0.4816942247721875,0.5166357749111269,0.5361161266602218,0.5156067739318847,0.5671981541574561,0.8024315238748563,0.6535796744765,0.6224081902705724,1.0696748362691153,1.2563372560628012,0.9272916770949057,0.8448775235187772,1.5436107405064168,1.6901712811093408,0.933760461376414,0.7835834046737111,0.6372166500700827,0.8205471598833346,0.8845189328660908,0.7561414731537669,0.7096741061251189,0.7193807711949127,0.5922849690985099,0.45069149361850125,0.4213210468907484,0.3561832968540918,0.4192560731131297,0.40131823498884306,0.40231614539014376,0.8948139833583993,0.5813742528446887,0.5096480719323094,0.7332333308248334,0.6976921299940739,0.8035584773530228,0.7026811743869359,0.8833373026718082,1.6479327243773303,2.198112029857628,4.039423865163899],[0.7559706710724633,0.7027612541277329,0.69715103945613,0.5883219337301969,0.6469896424715496,0.6812646833343746,0.5649189851751927,0.5870318654925926,0.535124477745188,0.40512324660153576,0.40857331480779463,0.45407976003238715,0.3796240376746779,0.3831045329203237,0.4259713728546446,0.3846237530015315,0.4259975284761824,0.4470630126181207,0.5449721752557802,0.5630341645049629,0.656285256247317,0.8104145034476447,0.9114201181720623,0.9958642056095439,0.8624888935809041,0.708792901895012,0.6580657148439238,0.4586149827694994,0.41700949583231345,0.33409758892780034,0.39856724454721537,0.3369320360254662,0.38638061592809075,0.3863094146375903,0.38860211724593813,0.4518748106031614,0.38031349850336943,0.49190948230645265,0.4684690518011803,0.6354594136178069,0.8420869966111205,0.7610284483713037,0.7713360890748426,0.8020997620411245,1.1850447538346518,1.4360104782956007,1.4916558595047575,0.946253565180549,1.4962783050638122,1.926260844876644,1.2942943259861204,1.8321054467154971,1.6929255086727781,1.8961924704788025,1.7024692115772182,1.1311020066273394,1.1992102448202147,1.022201163466673,1.0297309746880008,1.6044202310297642,1.1067958750453282,0.7981322757255676,0.6051531544356804,0.774377628357766,0.7639716268074367,0.6427826889574046,0.6485068662332978,0.5029451622055235,0.6353373213462213,0.6414492607024022,0.7971711580444582,0.9994316569541577,0.7006964036985066,0.7124196300714111,0.5664407376590097,0.7280277777627852,0.5744700522073132,0.4942157208068696,0.5417270944512675,0.6084477221138137,0.5052726742129142,0.6020642218988823,0.8216797569073432,0.7199112541817009,0.6636216115569428,0.4808597409016473,0.49325273092138366,0.5361476439696796,0.503498886006616,0.5163858662092966,0.44463515458774827,0.567999662334209,0.5282371888530004,0.4148928153796659,0.4026618316868917,0.45673157106340034,0.5501378776045123,0.41228563635769383,0.42053716028557214,0.48194624358184907,0.3811861701030283,0.4709703557541288,0.4046096314952275,0.4587298534886585,0.8277890449460352,0.4747753455782914,0.5252061484560063,0.5680719201339853,0.5435522469630345,0.5771780014674213,0.5139036314286654,0.4582615456730149,0.4290243049884915,0.3440115707046145,0.3825881293094405,0.46063806181370043,0.5593230191595578,0.555629489855656,0.6714783457282454,0.544889067900626,0.5699582007021514,0.556210731644028,0.5923484894381394,0.4206592192274931,0.4736721624564808,0.4201047129348752,0.624127123188247,0.5627589024048787,0.48767568420710106,0.49991138285436587,0.5467142235572944,0.5442095242059222,0.5849180969494302,0.4707145227894373,0.49644408784936567,0.4770331227224639,0.6353187367539461,0.43946067587094717,0.3492685408278465,0.34479706378830527,0.4982924771116181,0.6594148235304877,0.4883267423379772,0.4112290665569261,0.5936838758724307,0.3797895011933658,0.3835941195018412,0.37581464725263475,0.3533747369630223,0.4379723519587146,0.5157180820179439,0.5249051684293679,0.713341831703221,1.1876872387548227,0.8425536654104495,0.4410226696804869,0.4067780571060985,0.410987450119983,0.37382938650527836,0.42029270279312303,0.3708930793409689,0.3859077266800817,0.4046256858578092,0.47643234274374885,0.5412328285827332,0.6688404964587747,0.6912476919324795,0.914718490890263,0.9142359431020345,0.8242527942455727,0.6507872911697209,0.44954708830861195,0.4252143009196865,0.38341322987031334,0.37662412573334003,0.3888773001614286,0.4256048058600716,0.47281527084971464,0.44353230788919157,0.4229336514759146,0.5045911434774543,0.4123687768803831,0.486168017631968,0.6215319481066787,0.6172459866643867,0.7565435568977014,0.9048736628857063,1.1317385493734908,1.716511580186853,1.1756593636628492,0.9824700783175896,1.3934762527971243,1.064085539420377,0.98758510123178,0.9398736150517606,1.0653976496149784,0.7129738519509098,0.7422414160946562,0.6689837557238274,0.6205967112899885,0.665520411453527,0.6302813859558887,0.6184357644403735,0.6704701048381493,0.6620836702287617,0.6771717526816006,0.7037834279059644,0.7031728041269,0.6930113141940774,0.7852481190255387,0.7763047138931412,0.7563668233316426,0.8432269892881938,0.9634455968293906,0.8772491017664916,0.9072427657429728,0.8758691067972881,0.8026864199932087,0.7227751070630798,0.7250847486064738,0.7693403676875331,1.2856375154664421,1.0374355556563797,1.2071679347334936,0.9296666769226395,0.7342548660322636,0.702026950817282,0.8186149648735642,0.8695909614270685,0.7389788222400003,0.7203852536792505,0.9204117073033924,0.8444183654962741,0.7416349307263719,0.9752179132087044,0.911930307504274,0.9114064256921592,0.8695598586699412,0.7116824089882502,0.7444615173176665,0.6805756176266639,0.6805208164359561,0.7585258589786656,0.7797039818835695,0.9152156955377223,0.8187123036122697,0.7860986976966128,0.7532979179636143,0.7792193918064201,0.7072263051641734,0.7253854619391678,0.8171025501587328,0.761784770849565,0.7600501992817833,0.7753113538540214,0.9527897853524367,0.7832262988423384,0.7498544656041135,0.7186729126850885,0.6815840421229594,0.7011502925120968,0.7153419945347136,0.6870936580642352,0.6743771972694754,0.6900987538246531,0.7101887135053073,0.7355546587933569,0.7268252239021196,0.7877435204805412,0.9908202099052591,0.8256124754731907,0.8110119209079536,1.15715333127193,1.3040810965877023,1.0143509661293144,0.9442181249541971,1.5807079046912824,1.679605265342352,0.965120594355588,0.8990258677322369,0.8116256359807797,0.9287634918231251,1.0268210210014452,0.8654670929786338,0.7988487239724315,0.8846256990286402,0.798344952339664,0.6749194786938942,0.6393062281774743,0.5022867839351693,0.6330933754176135,0.5704486274624974,0.5784302352897787,1.0418551315159712,0.756974541531794,0.7468196321377825,0.8699808655352322,0.8051832346184786,0.9458532758660884,0.884560757817061,0.8993724149872234,1.6456379339969878,2.0107450424811186,3.689498609014255],[0.5033691112453234,0.44385825212981744,0.4870394801462697,0.3389487373572885,0.44043899441443657,0.3976326114337233,0.31172561449718794,0.4055510879416825,0.35847714586637713,0.31415233738567994,0.3252928886022676,0.39453512040954175,0.3304057979124184,0.3306861402376461,0.3527938176490402,0.3666134539803414,0.36553732452183213,0.37696905009018833,0.42483000510272034,0.4287323577136843,0.48708381416395136,0.7179192986963897,0.6999527106861607,0.7758945260532207,0.6779374118304214,0.564578579267657,0.5077079591920355,0.38639799490313664,0.3782790346328603,0.3462045542136267,0.3859320216737414,0.33941206525514944,0.4183150814316886,0.3983789381766542,0.3893562887209938,0.418695284401656,0.3785737195735605,0.4172670608848176,0.3937119008001958,0.4722831778872395,0.7293725861646779,0.6090835218663296,0.5466465859934024,0.6424650287960377,1.0245139868436055,1.4860229553281163,1.356974248578591,0.8117999585144858,1.7118515959643923,1.9958046356601051,1.0069623905384437,1.6115834864739815,1.4266741444253375,1.4729190279237443,1.5781367883747393,0.9945693929866964,1.1537625323998044,0.809043087562493,0.9666642643789207,1.3761999625764407,0.9254512691237697,0.6660091906340145,0.5046819811128738,0.6492579056002372,0.6756223027278907,0.5294859075994358,0.5208899874553703,0.38999617331159386,0.5096072852038087,0.5270998830631493,0.6882587111610329,0.8731181608218774,0.5869571917803836,0.5521344432280825,0.5103975878713986,0.6569904580592373,0.4618191757752855,0.3816122408638434,0.4272667618179824,0.4737275738731813,0.4302519689680865,0.5172968761828783,0.8372932711750604,0.5333522530508756,0.5404265717999697,0.43758387110433944,0.43105636059707686,0.46868849558579884,0.42485865215791274,0.4780185325892736,0.4053227932930878,0.47408523039541645,0.4665436107650174,0.38497570242689055,0.36617737538965783,0.39402146406293015,0.51467045705723,0.40324745738099943,0.39294626374863245,0.414258366537696,0.39511014133533995,0.46603376757713666,0.3583603443556843,0.38803800352143764,0.7519534433329098,0.38327731985880903,0.41432443082564685,0.41571824856236417,0.30868176408237985,0.4306578448309597,0.26064279911554517,0.3012823833776588,0.2835462561031783,0.3152632554733571,0.37892205050182237,0.43581769429506495,0.5354026941870476,0.38886565087609964,0.48517329344483906,0.4684592615549984,0.45841631247547804,0.5068997685791496,0.5211666508430542,0.39745993213856734,0.3058863244570054,0.29011194672976925,0.35769484527749135,0.36786677707656246,0.2780589073447019,0.3727994198063413,0.3222857264591999,0.3103064187998858,0.3508500259376952,0.3387755864644214,0.32225648545212504,0.4122287339898729,0.4538433379232143,0.26434330841477127,0.2382713690114595,0.2573535486159413,0.2722268799898992,0.4480540059341075,0.3084608867526401,0.30518934903600753,0.5632768320612389,0.3759956111184053,0.40570862015462733,0.37642154373310116,0.3116302248013652,0.3297687686080138,0.3863520608362544,0.3654490672629827,0.6124769833522035,1.080735146571342,0.7231410621287043,0.33540056686860453,0.3203809971280213,0.306829500835941,0.32467021718880373,0.3573316057544565,0.3235215438995246,0.38632303626420533,0.3287464285612249,0.34740099811968184,0.349036003440652,0.4522753345715597,0.43465439927393784,0.6095586400461575,0.7311740526181575,0.6325530087035998,0.4499931823273182,0.24634736326770124,0.3006510089629193,0.34220440522896134,0.3495800781024079,0.36509828111503795,0.4142589307797306,0.48997811934180574,0.3794891086158563,0.3526655767326152,0.4383946839164754,0.31399562752397114,0.34860379267260255,0.4313931797598811,0.459628130289653,0.6193945628649357,0.7938920339938679,0.9688901282974172,1.5799540131404541,0.9367916454329601,0.9210401104603988,1.1122271684285978,0.807666113117017,0.7037599683487935,0.5790184870047066,0.7551524331960702,0.49361915106949256,0.4303809270260122,0.36327649376294036,0.36675102103157836,0.34806470550738716,0.38892688823499694,0.3542804206298004,0.33481754948132486,0.3465144040810855,0.424062893703454,0.4306454306670889,0.40068541961604554,0.4272851991219373,0.5001787621482648,0.46579641141673084,0.44806954494560536,0.5536282932601134,0.6767033202490982,0.5539355931188789,0.5758044312648205,0.6568468501026431,0.5066896372654525,0.40728538915614504,0.44028796405023657,0.45334261972880596,1.361255818641068,0.910222981424613,1.0777272674135556,0.8241042853850272,0.5673349959844064,0.5076518245324776,0.5687968359997638,0.5570777520454157,0.48165428953648154,0.4697180116004335,0.6044099176529241,0.5361664312048451,0.4110845449963416,0.6994537517905268,0.5880844695029865,0.598534521220438,0.6926495944282097,0.36559027098091007,0.48514524363943246,0.4716707901513484,0.47823814956464444,0.6347313567584099,0.6519395406757328,0.8049432735818628,0.6672239234755963,0.6761629250715244,0.6537277193487928,0.6497543001347261,0.5011026239417814,0.5333026425442278,0.6350293329519521,0.5183712553680795,0.5294160714489998,0.550897718212864,0.7651376732006083,0.5272552629827206,0.48886603650718696,0.45335797336386524,0.4155798919429083,0.4449211512649007,0.5165891229841063,0.3832583788202743,0.3740310924712307,0.36135535005290736,0.3719881752904405,0.4102931606911849,0.3990398763608418,0.4529841410252553,0.6517698280680494,0.5290783729828459,0.5392776957742729,0.8877377402221301,1.0565961671950634,0.852489040347155,0.7322424346849862,1.3290949631895501,1.4899444909305624,0.7197236211360494,0.6138029660151842,0.5248659946050279,0.7366690137474513,0.7734139913126102,0.6048740691975993,0.5744767680813997,0.6555146409374718,0.48519760436927667,0.33274973989534457,0.31832190429303825,0.1480483898434466,0.3286884707277104,0.29130167589518163,0.28489980862441955,0.9017636928751,0.5142281879999266,0.45065704439050497,0.6761890257311357,0.5943767439942776,0.7739186324124591,0.6521965650665743,0.8189003622782275,1.5731410589584578,2.0803361410660766,3.822904886566007],[0.509907962467022,0.468373599874735,0.48711428780225385,0.3244712042853777,0.34711472496074197,0.4167351541251932,0.35728137463447296,0.4056568094827336,0.42143188232550627,0.3326881018793239,0.346162325544029,0.41446090150054476,0.35786867581799797,0.3688367004890684,0.3841116693116026,0.3860856852212531,0.39876165878482495,0.39966901981260106,0.42757712503417755,0.4481808742024693,0.48902638398889625,0.7020448620660584,0.6821437955081987,0.7700971216117581,0.6688648464564776,0.5528275569980818,0.4921501160039199,0.3767401589359424,0.37738414302974094,0.3533344189858302,0.3996201842886446,0.36459556334240245,0.4294883488933324,0.402930581155943,0.3858906731627743,0.4119318504393014,0.38835863456132436,0.41389919318918295,0.39941778628285485,0.4721614814263383,0.7027348180965551,0.6077782674777799,0.5542022011919662,0.6198637346327339,0.922247956782894,1.2860715484189715,1.2099678891011911,0.7439359766517315,1.666560259579175,1.9081234021065643,1.0254447868925587,1.6647736465448828,1.4319477867650559,1.45777064735953,1.556081111973723,0.9612883083201216,1.151831296647628,0.7897845422178646,0.9449817642042427,1.3470805910705754,0.8915951723859843,0.6234691442184537,0.470825998282048,0.6263823861843397,0.5939986505499922,0.507720070514775,0.5418101017232894,0.4224051758860113,0.5269418495225413,0.5679189442800218,0.7203701668342531,0.9281262396868503,0.6404146409298221,0.6215518700515714,0.5257983203508008,0.7191021128249222,0.4629133732608964,0.3968586504909264,0.44046720429665137,0.45629389802292997,0.44865155898736186,0.5239978139239815,0.9190262603840812,0.49665019446009573,0.5569668458805631,0.4347807548870417,0.4190323441571727,0.4887357510239301,0.4206151111681433,0.48607395020088073,0.4112507518028442,0.5108173611819511,0.4757622797860298,0.4097941176884187,0.3989794570711958,0.4324767118394862,0.4939192432718243,0.394427344728695,0.38220631635818636,0.5002308364042526,0.41315803044963684,0.48789786156481746,0.34193882723077446,0.4186842736742483,0.6929913762272251,0.4698181432348209,0.5453118708882421,0.45789629621281897,0.39272480005689775,0.5774765608674828,0.3451041322959753,0.38207221447698586,0.32692525545703,0.3401967290072176,0.382125932602411,0.4113828918174073,0.4980108780685253,0.351689986067965,0.4824467389118657,0.4845669178189099,0.4587101002023281,0.49781042145917165,0.4993295439905669,0.3905688462677934,0.30524375302689266,0.37516275188534787,0.4192238068718798,0.40710833342290725,0.36421758401053594,0.40470110934186804,0.4445829038606302,0.4373817006397848,0.43986787087642704,0.40536616937364267,0.4098557812251812,0.4742787128904167,0.5233026467955506,0.3880444142551004,0.252723755783943,0.2690362619867289,0.31627737095464026,0.4421977329651425,0.3175148482325071,0.3027163730578864,0.5264309623378668,0.35491465927726457,0.3600687109448395,0.380596928726134,0.3533980433948709,0.36389711342927444,0.42046709279438993,0.43753952645851074,0.725994587356501,1.2677672161112452,0.8893683622270961,0.40867727913455576,0.36229639773434497,0.3561758852143903,0.32643828894328036,0.37088689514124484,0.3721467615456081,0.3815534403775028,0.35589052377374947,0.38755610767852106,0.41918235318751923,0.5070017863328559,0.5248154284697893,0.737896803927367,0.8331214223155313,0.7176827992669975,0.5293129682406307,0.37628352053055225,0.38351367928751,0.3909268563304451,0.38115283818744533,0.3837132301254879,0.4251720653721192,0.5094580800149492,0.4041495484752852,0.38752635531429547,0.47823388111632925,0.3688898314452421,0.38809534989902256,0.4905621003026151,0.5283591141846645,0.6685462813683483,0.8216955378599784,1.042699359288749,1.649303679766823,1.027561300838555,0.9570232289371684,1.1483135084150597,0.8449704738058715,0.7630572505997643,0.6830511179283196,0.8991698561240222,0.6308662663022777,0.5403119274484564,0.532462459868683,0.48150679674013463,0.4854069779931567,0.45810887716908366,0.4326778511898293,0.4831274351457168,0.45802361485941856,0.49123478912826596,0.5508720026067826,0.4966047892008179,0.5196862738708046,0.5812565852755445,0.5322063176376409,0.5373534481088464,0.6693083174619053,0.7646520206022003,0.6543854253578131,0.6589392406832614,0.7427507618943348,0.5831085456937782,0.5089662425944339,0.5456101857661094,0.6001803180449106,1.3707456579062554,0.9289726279047948,1.1226294726452166,0.7868453672274616,0.634412990185669,0.6240621178024078,0.6601273969765994,0.7886302706094047,0.6440804773085353,0.5686711520900016,0.7225539640139442,0.7321860954427585,0.5865220358495847,0.7902303451292373,0.8460701782347412,0.8224818931287694,0.9222709920909083,0.5710994179024479,0.5782225834409607,0.5416461628529838,0.5265041891893368,0.7096719073528314,0.7449548490133,0.8743707871677326,0.7415316685222045,0.6951065480787287,0.6709964301936258,0.6722290287264837,0.5540266582443149,0.5964895991808231,0.7183184540344619,0.618755814401037,0.6017582352876228,0.6668835330088342,0.888674287947352,0.6383389424919425,0.6125577697721959,0.5506707920802232,0.5274211067359876,0.520152843484515,0.5607688349705845,0.5253817053913358,0.4967377391681845,0.5121735915467226,0.5445747978881504,0.5590259750249468,0.5794409820787514,0.6754101401609582,0.8471141851028067,0.7057701981027034,0.7967156869874505,1.0347867420546393,1.1593691182948533,0.9961563576369655,0.7978521433335416,1.2828280757923434,1.3430674486930878,0.7321720808133098,0.670515942379766,0.5541215336447067,0.6676946106075426,0.7662430844213497,0.6401187047169206,0.7744100144859541,0.9163784226473429,0.7020041705144697,0.5190035978196681,0.4796407183001275,0.3734130379152691,0.42579108642432656,0.40813349056580056,0.4319897903928804,1.018549195838686,0.5685962714726115,0.5612789305424847,0.7378646439898153,0.6093432097773311,0.763753318668504,0.7445402868561035,0.7516064086546856,1.395989157329988,1.6015834438481351,3.092297631293535],[0.5955756499862603,0.4787965992876676,0.49720125079422517,0.3604462325572931,0.43043859059669043,0.3638844686183341,0.342614397594973,0.42804026385372984,0.4075028281530509,0.35381250275630577,0.3508627921049823,0.4180693104082215,0.3653311290423313,0.3350185725071222,0.38716141516335223,0.36679441582905115,0.36238950756879157,0.3482585945675477,0.36568915286052645,0.3810321543166058,0.4257140471037274,0.628823243778336,0.6266547385707405,0.6950607428070187,0.6004944450676156,0.49300940131451243,0.44097034679752034,0.3290250135515478,0.3289636083525956,0.337498016294646,0.3683938299842568,0.33864980153531177,0.3786043187385897,0.387536361273656,0.3649413515910904,0.38055966446428946,0.37672876133233457,0.4024586893656898,0.37384996789442076,0.4718469015711765,0.6707036836087009,0.5598998688179174,0.5419616592145587,0.58447467819564,0.9105938254948913,1.103855084852554,1.0692895376522695,0.6495041853214294,1.5743878132758313,1.6724269536075134,0.9804999010708253,1.7027478802358396,1.4645455328217467,1.589706770810392,1.5123059241403345,0.8848097443711593,1.1276001212694824,0.814705363198748,0.9178618885728304,1.3494342610575454,0.9274226467539717,0.5805624346942722,0.45690276925325846,0.598501284980995,0.5459705906659309,0.4881046492032006,0.48839285844396496,0.3661297537668659,0.4982396077879884,0.5552956833582089,0.6684924848272106,0.8888002538454359,0.6161220907642192,0.5922555728341544,0.503815462436195,0.7239935147410796,0.42044908915634205,0.3763478441374149,0.4067942779528275,0.4286204764607592,0.447088651896205,0.5004995863449776,0.939161653261245,0.5065705910180063,0.5917888600157394,0.44015266471141257,0.4011703492125548,0.5115329789140273,0.37508394471594675,0.4587347834712061,0.38535233551873105,0.5079242485396355,0.4946855955440898,0.392198628351576,0.37781293394318605,0.44816217341707126,0.5388959733743153,0.3804261932990023,0.3808262407582422,0.4734284037152812,0.3942003598896451,0.49304489380794553,0.38273849687124295,0.4256254884097724,0.6082751378077289,0.4900237658209555,0.5032528893729173,0.4916629189575765,0.38773144613489713,0.5426908875750497,0.33255086039314186,0.33668282979792025,0.3218872613032805,0.29428358582165887,0.34367279790672156,0.36584914206737174,0.4635819708325542,0.300827118082813,0.41046505095082153,0.4211901549531855,0.3996136537420527,0.45309297516254793,0.3936631567228069,0.3027029841941429,0.25147732051296684,0.2606058543739146,0.33380585662506923,0.35708925925862983,0.35729630251528927,0.4287629653856176,0.3977987873247967,0.3814397468145234,0.42785736955611364,0.3978882059196317,0.4330786174433055,0.5148560113229697,0.5191423245921848,0.37981830577281367,0.36527847945151837,0.35016275193510465,0.49847169146292203,0.49739092015003333,0.3695398717529658,0.3198588581238609,0.44655565273451664,0.33661802672615415,0.3323454822947246,0.3502343686956139,0.3119521737376598,0.36761283920229815,0.4153443564223913,0.4543401465853952,0.6396013770762679,1.1983840617950363,0.9956094337924057,0.4109661132155939,0.37283992557751894,0.3524908279036303,0.34246781566283485,0.3915439712794931,0.37709613071385556,0.3723573664277628,0.36147915934913805,0.38978307045349364,0.41422757962207474,0.5016300303214407,0.4929157007405946,0.6251394821735521,0.7002834382422796,0.647076107162456,0.5090217737712194,0.3844485231539082,0.37309275229838756,0.3649184656848305,0.32766843550981156,0.387095296881849,0.4181485980494716,0.4832886450215573,0.39070698458621467,0.35540637983593554,0.4002090526959172,0.35148687233906023,0.4085440334868482,0.4483557484184646,0.43964936604857846,0.6094501216469848,0.8044254151978871,1.038061455195754,1.5784560101171838,0.9964009200576238,1.0304385063230952,1.350508306400026,0.9301593290363452,0.7913331051984377,0.6426279562381337,0.8246458411895212,0.5949568626481043,0.5019031633350916,0.4522084430758265,0.4302669491144163,0.4230039454383099,0.446350056252276,0.4136376352284582,0.41481428656729574,0.43091707651823663,0.49516507215691113,0.5332918385742786,0.4626468309161875,0.523837493075329,0.5660322101473425,0.5226130288979354,0.5372138378443395,0.6639418026298082,0.7788666201006839,0.6582194973235852,0.608631056716105,0.7627826757849139,0.5794047437497416,0.5176510404230701,0.5446734564316132,0.6027047123171623,1.5563034087785026,1.0219068619878273,1.0824338343576605,0.8699812656948892,0.6626808797582987,0.5830003766410341,0.6446051257898521,0.6045887617960761,0.5530110449299052,0.5683828491655294,0.6668496319208549,0.614172798377477,0.49943572262775393,0.7500163109716662,0.7172932384856716,0.7353445203852199,0.7778131702269526,0.47165903934244685,0.5498530966313646,0.5510203419302666,0.5317730950186406,0.7035980729420518,0.6973018783049744,0.8387936114501432,0.692410759146895,0.730896975734526,0.7592923495776286,0.6935079885835935,0.5925050629197794,0.6605396582760155,0.7637619213208972,0.641353247077615,0.6408606954217834,0.6922392042598133,0.8770284344494484,0.6324640956334656,0.6025618226021796,0.5585353787263025,0.5221785755110497,0.518166589012773,0.5905038584888677,0.4919564514137265,0.47027816964806635,0.45396559152065563,0.4835525747382639,0.51052912156795,0.5043176731163694,0.576716000479441,0.7664497828500023,0.6354680027278141,0.6721420283447453,0.9706880930537803,1.1245859282743311,0.951021580013458,0.7766927100102742,1.3087319696575745,1.4069696397366218,0.7329730217135871,0.667715912331923,0.5458249671224343,0.6464971982833306,0.7551546089262102,0.6449552740703667,0.7455685872614649,0.8200245796143376,0.6081295368161859,0.4768273315909698,0.42563886173265775,0.3811230760570627,0.44994713242165524,0.3955521726086491,0.4683679420969887,1.2411890001312373,0.5904004395212573,0.6433115264036358,0.9239732717114936,0.6853602098482204,0.8626503650953454,0.7999174990265989,0.8715817802644674,1.4706468001756805,1.9339917757404534,3.6796346320018767],[0.6907941442832225,0.4558457174355107,0.4287263819973968,0.29457938549887,0.3554966560414495,0.3301102299787663,0.3278891551595845,0.3439443802274693,0.36858471646003493,0.29055326023351313,0.29778776721532346,0.3776098444931816,0.2820216918631665,0.27399939441645343,0.32204569430639335,0.28799439825515416,0.2906806634011339,0.2862238908093939,0.2926705579520046,0.3074204370340798,0.34403171233223884,0.5488041704218314,0.5427297906190065,0.6162861245986181,0.503051381019166,0.4308190154173797,0.3460840407670948,0.2567277121783166,0.28629582745067156,0.2760932981300919,0.31225402433565325,0.29811003949112846,0.3613442290306704,0.3243921972815992,0.29238397573691577,0.29995414394727987,0.29974243956656055,0.3074497482516586,0.2976957071835509,0.3696129937965934,0.5675723483430233,0.47939218446158294,0.44904984361148653,0.5118896800385767,0.8592443919669429,1.0011782364577082,0.9567381695477161,0.5580283105653662,1.6131297964079838,1.6052550194160162,0.8928560511502951,1.6123835884906506,1.3589543265070854,1.4178975470765796,1.4819139852647607,0.7946759959085109,1.060605950001146,0.6917871136086309,0.9045706685967085,1.1968299669319347,0.8643809285042765,0.5473730464794058,0.4022695493346575,0.5460294053658866,0.4745498139344351,0.4191199830906421,0.4863828734982183,0.3212225640622847,0.47579290489959136,0.4946694044224574,0.6592789477058483,0.8629550843394942,0.5979894521569312,0.5848590454894588,0.46652311196423724,0.7499086729972212,0.35259026084703393,0.2936238458540353,0.31666233383029885,0.3327357011553145,0.362824981064877,0.45157936783627717,1.0038051952227667,0.3779905985121249,0.5291303440786378,0.37224835306909576,0.30850945675198027,0.4240848833808811,0.2826243423842769,0.4008648922833561,0.3114145039054723,0.4701445344483058,0.4370421429131406,0.33966660459653564,0.3254031963715155,0.40672866736620805,0.48008386894986116,0.3761897790551653,0.35524650400024455,0.475727944424114,0.3327593431385281,0.47381175796690533,0.31603706594861347,0.33589993441762733,0.5065308935625102,0.4009984479967247,0.44099348350028433,0.3863023697488861,0.34357336895384666,0.5203154937306488,0.2629348858856355,0.2616496350738696,0.2580519554665074,0.2007886015573568,0.21013629082797722,0.2237267969342337,0.36805718616792005,0.2596146969311174,0.32691117314636053,0.3624141229611349,0.3294043405347637,0.3532303589740202,0.24188621675073788,0.15655029421977124,0.13503939080375812,0.22499749914294523,0.23892175687396783,0.25326200347829225,0.24096902894896227,0.3511207827991339,0.325638437884203,0.3127859897400823,0.3561718242140543,0.35432977185279674,0.39223078468122746,0.4865315109521947,0.5226132768300359,0.3429566766009828,0.3994807543989878,0.3496673023717462,0.5470769431255033,0.4934319007001659,0.37595742160547796,0.3006957855585085,0.34296153949393476,0.26429779736435144,0.23939991661185298,0.27113588269305755,0.19937730417589622,0.29723340020924205,0.35211039207106914,0.45323082297671446,0.6779535196700223,1.317823703403188,1.0817420982093577,0.3878261503521785,0.31036054086047343,0.2685123960173592,0.2573136629915855,0.2804518501798469,0.28813774412680443,0.2724213280745903,0.29504337466224945,0.3144154952044687,0.3810362906395608,0.47668384350488285,0.46397534021200143,0.6055435802327479,0.7011286431291324,0.6452205419852636,0.4919092456170505,0.3503955564810072,0.3194393324280789,0.31288060890096453,0.24324205233008833,0.31621713967874254,0.3585167936367559,0.48022440145671147,0.3014507777648782,0.3056409620691495,0.3616957222326364,0.2819875234027459,0.32953398411183044,0.36607803996276655,0.3959889300811329,0.5477545000053898,0.7283748617795275,0.9986982129968838,1.5180859648974525,0.9086339552520714,1.0788964780342805,1.2584462301900539,0.891765107624949,0.7546315897956006,0.5545749383509319,0.712074178031758,0.5762445582542224,0.4015052128836939,0.3770662424179144,0.3612199011164231,0.3546241218168897,0.40976010781121014,0.3673930804701156,0.3843227121489809,0.4191521355973906,0.4993310377587041,0.5290971446664622,0.43847635076800817,0.5364469595630385,0.5496282509215341,0.481791032969003,0.5247167978580237,0.6708035343922685,0.7253427663029514,0.6148763521375528,0.5755182456049188,0.7712605673406993,0.527741377255497,0.47393644138452073,0.5265911486803515,0.5658564754114809,1.66386864708973,0.9383565059112248,1.1182290816557077,0.809546673794768,0.6079158463132622,0.5549054423392225,0.5708716078591328,0.5855972783695751,0.4773751000927201,0.4969058628364738,0.5810270091065355,0.558845413674678,0.42148725886185007,0.6957430374919226,0.6599756666973233,0.6754257646388457,0.748026208219065,0.38166529810465966,0.45404244130718924,0.476670417035491,0.5287501444040824,0.7239753988040597,0.7405916008619058,0.8711520709107128,0.7112252737643514,0.7259012056340334,0.8098441240982608,0.7232994342042027,0.6297982248846066,0.7238131209389922,0.8295942923222549,0.6836036097998368,0.6766238457987777,0.7491572582822648,0.9080234364560846,0.669080072581847,0.6425959069923699,0.5700885615418986,0.5412651500677933,0.5264050338440718,0.5585330729085547,0.4891423390430505,0.4579309276222482,0.4494034745326606,0.4709177036243575,0.507559577818276,0.4896927843176905,0.5498124730459566,0.7552897754096828,0.6424198404690824,0.6517414072216756,0.9057313190482498,1.064886204589693,0.9452087534048214,0.7547471700413066,1.1928698072043287,1.2683056061831348,0.6704735996160552,0.5999612413128934,0.48607275262207983,0.5422343814514672,0.6944981042913801,0.6069273942098077,0.7254341089185783,0.8333662091836576,0.5950257071906108,0.46034743935573164,0.36407077801516263,0.35166668534008777,0.3798154415395492,0.3775544544605512,0.5440076387373851,1.3941698606988688,0.6059591271260472,0.7257471160354845,1.0253811758471798,0.715114063294204,0.8409545381642305,0.877284402821939,0.8810764573987659,1.3986271842937879,1.8435769659468908,3.458701744096541],[0.8127645657366331,0.5664156804005916,0.48025545873873976,0.3986699119685359,0.39299132636566686,0.40186496853130316,0.391986980757106,0.35428079380309085,0.33352972491265975,0.22892795908935334,0.2524989866798695,0.3305858726603636,0.27060403642694275,0.2872391295983583,0.37222514508861,0.33095295674474473,0.3757149005455206,0.39010210443515786,0.44687666954986405,0.42668247421329053,0.47304700052384685,0.6337633973324306,0.6865835440397091,0.775506139852133,0.6231981755860974,0.568225744687766,0.4678020337241455,0.37285281198857917,0.38067011148246654,0.3528543923645204,0.35768522441401573,0.3301129894242464,0.3947401421748614,0.36419665080968755,0.3616037153384371,0.39051451649991215,0.36045566847725596,0.40540794538526154,0.4059035441854885,0.4487911254592168,0.610647122321239,0.5699663087648056,0.5560918646168955,0.5952571447225038,1.0655909161528907,1.1170038356895318,1.1794532062983523,0.7079503672930316,1.5175889566639778,1.5051813993263046,0.9989930833869386,1.6983287350449563,1.4062889747022105,1.5529074249020633,1.4194460027714717,0.7679172947180415,1.0993527339950149,0.7288319992542254,0.8817117212381252,1.294731144667258,0.9634010547164975,0.6274838714924854,0.48097366282350473,0.6777091371300169,0.5600275623286729,0.5183298884707198,0.5794867795069814,0.4367482349179697,0.5889554826539954,0.5407461093253573,0.715225015890148,0.9145601470740528,0.6438063714433767,0.6859493390652815,0.5283921701635202,0.8452787711792114,0.4513131034294871,0.39407474259439274,0.3900632607098519,0.3812472381715888,0.4303151949905729,0.5000175853131325,1.006759782946798,0.4475570631614355,0.6188529575825105,0.423053218288849,0.3865339371630297,0.48684894707301085,0.3794464919240313,0.4516742720361335,0.3960198194913117,0.516855609284066,0.48872022230501494,0.385800931445525,0.3527159473627696,0.44745594122856486,0.4947960205558991,0.37457594003342576,0.34802494172856174,0.5039470218406976,0.3311140706428957,0.46360185437554163,0.3461514371520365,0.3744461484380995,0.47798502298245754,0.4308464137335849,0.44140555937690945,0.4117538030371863,0.358941028090674,0.5342066369887681,0.30213020142996677,0.3129811899630185,0.30754373171255184,0.26019790427984324,0.270893937446639,0.33906086944273495,0.4261751852736767,0.42973752296956286,0.4802714489855188,0.45016143775162004,0.4407011468676597,0.4426120124638288,0.41428206922076055,0.291354509273181,0.22749002430019444,0.27111160794812683,0.2779200592005603,0.28521532656564447,0.27358910692435806,0.3921262188885575,0.35939730589676694,0.34200371872527296,0.41478029645316233,0.3929805287234114,0.4446143429433063,0.5175976723862991,0.5309052280129724,0.3835067537826782,0.43498432931837283,0.45781932259337293,0.6967233317225382,0.6855632203315225,0.5280861815934199,0.4285996913802493,0.40550544358659707,0.36574169896863423,0.3375130379145876,0.33784411990256014,0.2671725968248289,0.3202145319933656,0.36097352324037046,0.5034121902903053,0.7108500865294637,1.4183038999311859,1.20355071009519,0.43415305061902376,0.3340496676471464,0.2969247094407712,0.28035362470868713,0.31946944073417394,0.35489981250126046,0.35366516898447087,0.3750240181823902,0.400439956343149,0.4618792894345963,0.5515313910079724,0.5328441685800671,0.6718377902030664,0.7180585227603598,0.6808810259376253,0.5253816924028426,0.4184122655525541,0.39239128137586726,0.37564321786878574,0.32000344465007546,0.36194883105012826,0.4017453955013027,0.5155672407911042,0.3777574366745981,0.3390803094514271,0.42321258502207465,0.3332682750840727,0.38061493574594285,0.4304879740578191,0.4567471366727943,0.6068556934505881,0.7592355665299144,1.0869037413020328,1.5361440867777134,0.976423186063327,1.1153454241270413,1.417277193968457,0.9837336209798297,0.8262457806651923,0.6369549048655181,0.7835603923153458,0.59414553488194,0.4484578918316851,0.41815461853007163,0.38674407472759853,0.3831347018707634,0.4382683038719698,0.3960358085502736,0.4237115542284908,0.4616158015963114,0.5451508667917097,0.5719034105417845,0.4887287286382884,0.5890871151995596,0.6171062845271088,0.55050462558882,0.6053718284023087,0.7634553336502531,0.7874107230801739,0.6940669868102598,0.6519115165722952,0.8434728896179366,0.602910884305962,0.5435121986035036,0.5937598618834036,0.6213213413554429,1.6620020294024234,0.9396992158800018,1.1308017608839485,0.8134987096331179,0.6261875585205997,0.5861010390648781,0.5975899607207661,0.6393216157831899,0.5289926768956844,0.5205144837135139,0.6124092848434509,0.599557862667588,0.46553584300173084,0.7228481289466325,0.724333507694492,0.7273295922443137,0.7772973714728845,0.430630366495577,0.4773499995074019,0.5014936723199245,0.5451270976266993,0.7397604984465095,0.7622772571733449,0.8878192364479524,0.7274863107611305,0.7448525042395341,0.8560884293067751,0.7519990261864389,0.6736709389521038,0.7792082439293829,0.8873956598539559,0.73844283669788,0.731423291360838,0.8180118875024037,0.9549073995291263,0.7370398577090863,0.714351818141946,0.6324397865854579,0.5906299916884776,0.5676708960685375,0.5912644121945353,0.5382018845372835,0.5101664991600146,0.4934664310720987,0.5199879331135081,0.5570603782270688,0.533440919790781,0.6021092075490669,0.8158745382925896,0.6881396001769787,0.7091302699842543,0.9629360204342228,1.1261173565329743,1.000384471718687,0.8178783604054615,1.2496784789766513,1.2762791451973678,0.7526795122209987,0.6935116162922853,0.5577887348139844,0.5867006816455246,0.7710947163901405,0.672641846527616,0.8026528405036726,0.8653100034984867,0.6308472088117759,0.48981277477455637,0.39748483602787615,0.3731740779193711,0.4156465011740962,0.41381819223238125,0.6167985207623514,1.4780420657496425,0.6446115935995197,0.8326842942735395,1.14889438230536,0.8066389759350215,0.9161996758530901,1.0320404974192574,0.9436756216411257,1.3561755377543514,1.7893886295048957,3.276920459988033],[0.8920770496246813,0.5278349250797681,0.47036604728502035,0.33758672167165876,0.40071497273940443,0.39399827550475036,0.4012662371260936,0.35108643954025565,0.23166073578007895,0.20014392233738001,0.2288130188250684,0.31897686507982276,0.25340099144503436,0.24250651025715791,0.3132827022824431,0.28243170943802903,0.307612450021177,0.31352987509066316,0.34464862751581193,0.34224335170785264,0.3686881870664106,0.5752093189782107,0.5428418180339558,0.6813684700293737,0.49286342085126233,0.4722099226776515,0.36474020451587674,0.27598607055279833,0.29394606540812673,0.30455200462319365,0.2947421894906418,0.3042604874926342,0.3745378542575411,0.3273551273191765,0.3023542033416045,0.3143133285730864,0.3163238139098669,0.33381264736401384,0.3318893227415163,0.3545138529761455,0.5474238193594134,0.4985247127462029,0.4714854686868041,0.5070708887898948,0.9373537945156346,0.9688549082230786,0.9530726047897341,0.5594807225392332,1.6284482163493021,1.4017214878534299,0.8713321382319195,1.5648536962275552,1.2723088436060648,1.3395314675237415,1.4625310333412251,0.7436584299663553,1.065642173016157,0.6502929137994421,0.8988985901785049,1.115481543441451,0.8465663636775199,0.5492869207497917,0.401457937857963,0.6193809806887668,0.47447951473792255,0.43741997328132903,0.5447736806765169,0.36668586107343215,0.5217110149181106,0.4875328569778122,0.703763096219328,0.910274267851157,0.6189938920082605,0.6160732082119674,0.468051675216829,0.8239699836419683,0.36867571446076547,0.30745660599358804,0.31642693528059296,0.32059285082833483,0.3624388968149208,0.4602397110642398,1.076027168401389,0.3593846983153379,0.5422032815955555,0.38486207712124676,0.32198295232672114,0.41170971082825275,0.2986192723015957,0.3870293914242815,0.3228290700949809,0.4549097696083905,0.4119549578744815,0.32648115118274784,0.3055741629961489,0.39925596303656524,0.4748171764410904,0.35744400391228026,0.34414353817742727,0.5000110734830763,0.34035364742259805,0.44751734739748766,0.34784544975101367,0.4026789171837022,0.46218641510068226,0.43640555431690037,0.43439707075025374,0.4245189715561274,0.3866850797319453,0.5709756803627021,0.35852934797773384,0.37515218373066844,0.3643731058014274,0.34568817503614907,0.28837283672132114,0.3085301032681816,0.31153237476138185,0.31563243256446777,0.3485923358017657,0.40793499662270943,0.33798638493588984,0.30530270502931245,0.3386933268763766,0.2653805390151147,0.29794464359521766,0.31297961372135097,0.33248557036434107,0.36065684973694057,0.3548399814359627,0.4224260018540234,0.3682320789059266,0.36082225606782914,0.3894941266161155,0.4264828428326858,0.4448177421435121,0.4789188886910297,0.5038211418531997,0.36743790086308414,0.40784972861422286,0.3861527683298725,0.578475568743661,0.534161925652203,0.42491683681262843,0.34562370372362516,0.31829221993878537,0.3062937039165074,0.2818376159887818,0.3457168112660927,0.3099684750092165,0.3540101467907785,0.4175415593656644,0.5411631921116369,0.7042154018940167,1.3711411502771194,1.2005142723513456,0.4661012568913741,0.3567043614286761,0.33404704058051976,0.291504651888369,0.35130840750015924,0.3544382839324402,0.3183513033934507,0.3409672936602592,0.3288541321030899,0.4026245462671415,0.45340905796748815,0.4624563010543698,0.5378163719795672,0.6297438860821715,0.6091630713892043,0.5051410524067165,0.378533142918723,0.3595731594606112,0.34413263193864974,0.3056230273494313,0.36779012797185645,0.3893916808173076,0.5375452699340322,0.34600832827315914,0.34855451065351417,0.375298494342912,0.32547092632290225,0.35622732437808596,0.36816295185792886,0.43072021397265803,0.5535628378970573,0.6829603666540651,1.0189349222131971,1.4327316559471064,0.8481660437428348,1.1498741628015796,1.3482400790181261,0.8935765345978931,0.7321723216587107,0.5336673851820395,0.6391177002382097,0.6252667054311111,0.4260913923510989,0.39113722085677927,0.3878955804740139,0.3794795938553613,0.461862030594713,0.4001006457424996,0.41627796330888284,0.4683785324041512,0.5300280546619972,0.5760478310740084,0.4791617038663745,0.5900674505119964,0.5739476269779368,0.5101528332527588,0.5705088963584822,0.7174680787126564,0.74316164042952,0.6429039987624035,0.6062007349487644,0.7935863165490991,0.5317819724882231,0.5053521286819449,0.5602256716795362,0.5767334583937567,1.8370364102694927,0.9255001751240105,1.1453296772108583,0.8573399014475604,0.6850663733056753,0.6012923296254,0.6089136309064118,0.5963116191083543,0.5033279748833109,0.5455366877630541,0.6063825753244103,0.5744663496283097,0.45416592788211985,0.7179462414078529,0.617854158203662,0.6440268379505827,0.7439164473116506,0.40756460316496057,0.499195221072341,0.5540361255154486,0.6085649189968937,0.8063761640957003,0.8619686676779242,0.9650597007410782,0.7833618161410322,0.7776734522399061,0.9543859668675914,0.7893317821101213,0.6941728794511561,0.8126326041752358,0.9081782806529984,0.732294283007741,0.7381971230933669,0.8451679316657971,0.9617584079326075,0.7436724657671583,0.7277209188048575,0.6444786030533309,0.6128611133304532,0.5950090349972604,0.6308754421106151,0.5298443723099495,0.5183903348612554,0.49545730487257167,0.49601792601910116,0.5266379113379838,0.5071365766286229,0.5459051949407929,0.7338035049258962,0.6568732409920346,0.6429867240583491,0.8695627514605303,1.0282848038482388,0.9341902827540304,0.7600335539413362,1.1636404880707534,1.2484259670650708,0.6898884446153332,0.6212532463351976,0.5023736391670254,0.5624484196588931,0.7193820810186733,0.6526200237581734,0.7564703032575328,0.8360988568407527,0.6111373117099389,0.5095570628769649,0.4001602095393468,0.4220373593283488,0.42801387286061987,0.44156332612697136,0.6741857968559031,1.5819498691444864,0.6540202850233374,0.8615340250591297,1.2188427774902117,0.8354786255431764,0.914328320274583,1.0799424394132426,1.0091370409419398,1.4707023557514718,2.131770216664959,3.757129924481618],[1.0414372935122371,0.5209494520266774,0.42114247181902215,0.26690328194917695,0.3139053298502601,0.3338875202373233,0.28790670643045135,0.22856119056850568,0.18915240987857912,0.11136581484177199,0.1856953728278358,0.2792921713765375,0.1842122301378427,0.18678829476681932,0.2623321961276415,0.22633964772529516,0.29433427929599487,0.321067677079905,0.36411208804680756,0.3480514245107431,0.359042982411979,0.5510465628394421,0.4958926824912941,0.6532189693017717,0.45095400721863066,0.44721500133496056,0.33769090043167954,0.2718833050943657,0.2814304354653701,0.283507865136618,0.2856249306005097,0.28995277182473306,0.3654633581597842,0.31543082386982885,0.27671698304040615,0.2829135826716053,0.2864561036446708,0.2849796792952013,0.29321563796956995,0.30229700603256626,0.5464433656243619,0.47517644295738937,0.4385326379033599,0.5164017025577833,0.8366894762873314,0.8968775936529804,0.7904638320659466,0.5322651739564619,1.8021769510029784,1.504172375871883,0.90134549146588,1.5468038911943607,1.1915421270869493,1.1147559645018057,1.5362721007065563,0.8078191738440207,1.081008701834379,0.5928085748594398,0.9554033554228077,0.9884743927305162,0.7785529780230962,0.5376036104621668,0.39612642042576085,0.6363688762144547,0.4511740038897229,0.4186908638775919,0.5806673824837921,0.4083604512723522,0.5504066901036064,0.505374574470625,0.7626020467885454,1.0218958207013977,0.6797718195526126,0.662108583891439,0.44405097284609746,0.8449283099534406,0.3300796781527275,0.30713641921841234,0.2993184557325971,0.3314685025264209,0.35248125860123747,0.4333744315499205,1.1229579104327,0.36813078360266205,0.4805761970358602,0.3518518038749665,0.291520431623177,0.39829551396394314,0.26903362933730934,0.4066862541266841,0.31117711743970944,0.4620022496680755,0.3960756451751419,0.2854906823943355,0.2772208716557263,0.3268318371034806,0.38814401595536074,0.32869079209994595,0.3134357466344993,0.5473676994380617,0.320423965014313,0.4743382767550628,0.30209804974424126,0.40035264070847215,0.4312182374198068,0.4273123500197816,0.48414517986594247,0.32651016769469554,0.3163622907964363,0.5422169896457726,0.28208563609958703,0.27612142281237273,0.24387184506631074,0.2980433631622813,0.2349197137131118,0.299824495200789,0.30431729480153463,0.3247308779366385,0.35914665773773674,0.4634849977190289,0.32529710127108347,0.2796643446555182,0.33836349693118545,0.2997851094686097,0.27272972426933456,0.2757773539693096,0.2555269391556222,0.2826936137700831,0.27797136215373064,0.3559206946846518,0.29121265714342714,0.2979999853531375,0.2984980426891738,0.4083336440724733,0.3772318140680496,0.41584661516184296,0.456698544142304,0.33540696962955624,0.4156686452149209,0.35001620897890773,0.5509269367721306,0.48724438256495306,0.3976988919003994,0.31331472926963155,0.28176861627698774,0.2699209295244997,0.23683293699593758,0.2795462422538898,0.25744496321189786,0.30499580429291673,0.3700992595508335,0.51708491026558,0.7684480469717924,1.5118564577005928,1.254433536362764,0.4508332914134317,0.3093601123542528,0.3064650046286202,0.25155514319294786,0.3297184978717137,0.32036192866505087,0.2929945866800235,0.2973285258928135,0.27330119543745807,0.3801349231245876,0.4296406439706097,0.4041699156806186,0.4837661657674876,0.6159554434866686,0.5849310032011871,0.4453111988140359,0.3312987812819952,0.3142791678999633,0.30322157119225335,0.26246864956995897,0.3377644916912428,0.3516211044589144,0.5655761186894049,0.3109103988775589,0.3631442063971295,0.3333386419684907,0.29659865400561153,0.31900715819692466,0.30761988924458716,0.3618947053912196,0.5054516199187938,0.6388225897647539,0.9685096423315569,1.3830894502728321,0.7581822378770827,1.189347934626844,1.1776102277320941,0.7757386498776359,0.6398351639085957,0.4261319498816023,0.5194202016036735,0.6170447743606984,0.32481102213243473,0.32958576360084413,0.34172355447480607,0.3324718235079854,0.43834845914986476,0.352701801879808,0.36757087438967034,0.4442122703986007,0.5132878469428016,0.582644195137554,0.46408073660627003,0.5982392006397833,0.5528129950837122,0.49470013520783357,0.5669670661282933,0.7070417380363276,0.7171821132025263,0.6238263495960177,0.573344689235064,0.7963357232932045,0.5071627401617692,0.49464170773501775,0.5630941464749799,0.5778320232062701,1.961982267894906,0.9093481053697475,1.1912235832485023,0.8453132768291127,0.7170229775150029,0.6428271766073843,0.6087865297989232,0.5838084479822235,0.469318998288324,0.5379700819331478,0.5507393836838502,0.5597920869795869,0.4210775597940774,0.7096594394628537,0.5404798231237975,0.597274986857608,0.7124533419068229,0.35608303512705936,0.46284972790606327,0.5431034253492231,0.6377520680122549,0.8473194641800822,0.9212537701328943,0.9909272673357573,0.8237971275646963,0.8074963626520185,0.999362193906736,0.8114468415543413,0.7229855061967266,0.8537409031962219,0.946633011919656,0.7603736868279295,0.7681010310855059,0.8844741171557955,0.9580224426486927,0.7590700636357867,0.7483916446356207,0.6551865428881422,0.638254131436028,0.6097308310146793,0.6267285560211318,0.5316299712637661,0.5000139588788589,0.48589918785926,0.47162041721697495,0.5064269915840349,0.4716472080177415,0.4976252180804499,0.6682802509834377,0.6174409538371417,0.6047852848492793,0.8040656760793993,0.9540704103026347,0.9178562248117125,0.7373225570353458,1.0405366200611261,1.1219763887146266,0.6849364775660639,0.5923582966464677,0.4926655558334109,0.5139409985878719,0.6696838834601432,0.6507496887369321,0.7480488956133764,0.8256838751263603,0.5940606660187828,0.47575151410924954,0.34640419790107624,0.38544658533401116,0.3927510791322747,0.4180408946923487,0.7371353508767712,1.6566810043337086,0.5995111043669928,0.9118842121509295,1.272150031378774,0.836957976561804,0.9053722529756462,1.1970837583468708,1.0879184824340726,1.3905750618340547,2.0796259339984897,3.5262836144086376],[1.107745878321726,0.5413671232118996,0.44033923597518415,0.275522523276035,0.3188530153801009,0.34335080893707515,0.2963971319077029,0.2639590344485529,0.2089180858389827,0.18830047059762628,0.15593693006312104,0.287830368843122,0.1922574925491933,0.22442023115569193,0.2867864772296944,0.24907216097406962,0.34621820301230694,0.39222647564958785,0.471314856816166,0.43352261631678174,0.456227972219671,0.5900405154896177,0.5714319654081278,0.7585138626872465,0.5121434882909868,0.5255191991728487,0.42402557392749946,0.36440511918178103,0.34484451091846047,0.31885552265240724,0.3219161698574312,0.28950787978037273,0.3829071616849425,0.3473169945679411,0.3021357000466574,0.3358144841308229,0.3032731873970576,0.35365630795608777,0.3672959100484542,0.3581929040827645,0.5748963516973379,0.5424309610498327,0.5040759738280453,0.5500682915783259,0.9546152728692107,0.8961903301103341,0.8622685666636379,0.5751522645656848,1.7570515200725305,1.3493340993808303,0.9439685717462325,1.4874117534666564,1.1777559314359232,1.1027552953389557,1.587151801399558,0.8289232250610825,1.0971394142006392,0.6478655488715088,0.9952577486386932,0.9494835403553955,0.7986382370272466,0.5662346996547365,0.4463481323893297,0.7212154168230157,0.507057418618515,0.4892216373536674,0.6745857270409787,0.49570841251601055,0.647393400717152,0.561311491631895,0.8412284889676654,1.1228619778796376,0.7424886974329048,0.7517845590488629,0.4817932174941721,0.9001305269577988,0.387198583354633,0.36186276283837215,0.3458349761583641,0.37732647708114836,0.3785942109071226,0.46333575496540175,1.172757092010545,0.40995750926798474,0.49946078948904526,0.3911756866102447,0.3557915946248644,0.4019164326190615,0.3353514913297281,0.43064709051098776,0.35979452018498065,0.49684621579766053,0.4336042258552292,0.323834540824198,0.3108854994913281,0.3712466039748386,0.40257701714508914,0.3450815832786384,0.32339294037075783,0.6058651782312142,0.3137531700456539,0.45346761556646015,0.2995017842130947,0.4108215053274466,0.4114333253302847,0.4106626465650816,0.46553510421530964,0.33558446621140015,0.3323672644277947,0.549308753496423,0.2895750708330635,0.2869845417920991,0.25822592529781996,0.3200232508344795,0.315766833135012,0.395772150310676,0.3655462424018096,0.42472176991517524,0.46099612954719865,0.5132254378223968,0.39805984771245656,0.36936335086791794,0.4552753238063392,0.34821382458343353,0.27232765571606815,0.28276309529018906,0.2702628629076138,0.3019081884450295,0.30720169672714975,0.3886168382777959,0.31241192511132015,0.3185367460204632,0.3270771872836807,0.456809176642979,0.40464326492052344,0.42556695505772185,0.4600258192888241,0.35928400361158513,0.4409490146146264,0.4101588671811309,0.5948079878878448,0.5900175041298662,0.4868776031665802,0.3872233419652515,0.3433458845066606,0.35452946888392806,0.3222578477931811,0.3298626951975454,0.29909098757628305,0.31438546728137534,0.38696443263454067,0.5632515993137245,0.7966592394655417,1.5710193513590325,1.3438394623840428,0.5080620863501566,0.3148615284765644,0.3142199001011092,0.26997187628487673,0.3532929308505609,0.3421182536721543,0.3538650323207661,0.36547732605778366,0.3333711570333821,0.4399094041130488,0.46831282421184667,0.43961428040285294,0.4808958743533115,0.5914625348772553,0.5851896558942027,0.46544057449433685,0.3737283649151146,0.3589277026784409,0.33694385231462126,0.2845742702621496,0.33930313513425636,0.3465608240262719,0.5707613517827543,0.3333277794100123,0.3800549776018131,0.3600400776621393,0.33360954440381707,0.36980174267844995,0.3528621267497944,0.4039616993115396,0.535225269024431,0.640835039291063,1.006049735471572,1.3458555590243184,0.7234455358644539,1.2627021141068546,1.2038549283462632,0.7984432091853505,0.6593637575410866,0.44381371019152077,0.5013395161927608,0.6186832429628245,0.3362868160094368,0.33308169577126534,0.35373056282858345,0.3452398782108065,0.4529542777002823,0.3647274056321655,0.3829106692937734,0.46193453643600496,0.5234621340903056,0.5990677762601728,0.4854031997569007,0.6220082656769205,0.572097939838454,0.5226235700960582,0.5996727290138087,0.7295261653560257,0.7346049684618481,0.6474796004288439,0.5916702173992028,0.8157356451541807,0.5229080788676164,0.5152131806642398,0.58817214453432,0.592884841041813,2.01935210456674,0.9124589064091144,1.2304389027318283,0.8675138078533899,0.74824271217318,0.6713112549446616,0.6354917414258533,0.5814011334192286,0.4799069411182037,0.5575669562479117,0.5720232521265205,0.5578785715741122,0.43022517372434105,0.7257951458762791,0.530949839590545,0.5879815472786546,0.6935022284438185,0.3620928299176139,0.4720896720007133,0.5722194638813342,0.6686195810934195,0.8875358833232901,0.9680993908680218,1.0345121331650382,0.8643427447864876,0.8410904531505403,1.0691827154869835,0.8399395558028425,0.7511570136226571,0.8867356146206264,0.9641528537917097,0.7793085574405632,0.7949506194939256,0.9147053346826054,0.9594947820685362,0.7918371136941864,0.7859091787687456,0.6887077408804405,0.6749827071125125,0.6372874113150785,0.6583536072165973,0.5576753549218224,0.5213274489294766,0.49688676838953005,0.4830345612282126,0.5216821885781249,0.48603843035779853,0.5058135475511191,0.6722334097473803,0.624018564027068,0.6022202467329522,0.7908521660968233,0.9388199271166663,0.9094605621962405,0.7358024651836811,1.0393711737059508,1.1030729154694587,0.6867172800198357,0.5939111509642108,0.5119671435550742,0.5324616943533838,0.6699350449041037,0.6483554071537411,0.739263565030861,0.8256281321643488,0.5915325196382141,0.4863543741171758,0.35848282173864127,0.38619252681347094,0.39637010844490234,0.41545251232295555,0.7634066036684996,1.6875764332344598,0.5919045935544849,0.944697028887402,1.319742396081541,0.8389866279525285,0.9018198208902819,1.2955412129975032,1.1756824167400663,1.3740373855189798,2.1860369768401453,3.5407637361724746],[1.1265598096730465,0.6049518091962294,0.5098090065136245,0.4105807878349065,0.44665296082959727,0.4338920531965659,0.39811167231565847,0.34013862882700424,0.29680390992197064,0.31937882617094115,0.3161785114855048,0.41252299319204333,0.3483397725623519,0.35154841576292983,0.3777361655827602,0.37775793602324864,0.44432756740961943,0.5049929361748293,0.6020513627857316,0.5496260131748774,0.589548802257715,0.7143351682118237,0.7328795895674959,0.9131109997776448,0.6793004958464561,0.6879666020650159,0.5642328780112537,0.47487365376693513,0.45549445749903505,0.42084704794101363,0.4540576649295335,0.409554002401186,0.5111396602884037,0.4630858786487961,0.439191815993251,0.4625106616992133,0.4031903712197017,0.485638559889343,0.5055782822833653,0.4926951037479003,0.6734351640850097,0.6522928714685352,0.6389786869670203,0.637489410938815,1.1979591330361585,1.1287668714047956,1.2217200860596042,0.7350718669906499,1.5692150256032815,1.2333600681581522,0.9830528217672078,1.4906791900077345,1.240894468005206,1.304125856225993,1.5874187626473961,0.842746227733988,1.1339889396678706,0.7869765192751912,1.014196417707122,1.127434415094236,0.9439151914698511,0.6884879126155152,0.5780155002753996,0.866839673158268,0.6782791623858486,0.6431408641450858,0.7432837040749062,0.5829922096651997,0.7496212761287724,0.6361712765922745,0.8572190238715928,1.1531739023818677,0.7794233240230682,0.8516147176121887,0.5793710286518687,1.0286617898030799,0.5144144012098664,0.4769038955473259,0.4566562912219671,0.5141313288023335,0.4875582303384684,0.551197231897118,1.1524602929057672,0.48593639686422374,0.6332912777985689,0.49250384338555075,0.4710056889822987,0.50784359989702,0.48069682578886114,0.508569983262405,0.4772051305704197,0.6209571717692198,0.5903849304625092,0.497182449674538,0.4643314434287291,0.5633739816203724,0.5541576059956178,0.4742530060767578,0.4719892791416841,0.6984154267528067,0.4487970175549134,0.5360311419368817,0.4363494140308273,0.5011706861653847,0.5041421077173686,0.47542456686263224,0.485836151149156,0.43408913659577303,0.42757418239875217,0.6036275615832567,0.3808161555368575,0.3881701023642873,0.3692944575993637,0.3970220447688681,0.39760089067503424,0.49530103856066704,0.46885780699047663,0.5209124995511496,0.5647933182342413,0.5866545141754944,0.5258441112580371,0.5020997859397932,0.6034781210938733,0.4747407075511361,0.3920260967244377,0.4079617665308115,0.37637529914488893,0.4104495362943083,0.40324478349992665,0.45828819812539584,0.4051384893385053,0.3991439815058622,0.42641123991021046,0.46519790060701355,0.48768985026845674,0.508818451314572,0.5538068962693778,0.4465248559995611,0.5133592517317823,0.5042991340793006,0.6940663296377593,0.7550982163240331,0.6199143742416998,0.5015386773711227,0.4623749197405933,0.4444241392893049,0.42476150880129365,0.41257675874927824,0.3838386864798114,0.3988811548626016,0.4535974035573166,0.6115503062463737,0.8206960719942411,1.6195594047465969,1.3731546630769924,0.5831874327001372,0.4343840766158149,0.40499436490087437,0.38081771663040326,0.4151623957069956,0.42821156683261524,0.4533296955598235,0.46095552164568215,0.4440453348632453,0.5117046258022471,0.5521062730277262,0.5212354312823941,0.5621510348108919,0.6447057075088036,0.6425553333007393,0.5260475397853235,0.45738891227922884,0.4267307346045499,0.43840687962321057,0.40427765448175024,0.47745664338849203,0.46430557972827013,0.6227529087330934,0.4556223815688412,0.4636161616717657,0.47476028665014464,0.4124637716371182,0.45165831098043907,0.4598209969682696,0.5003230964463476,0.6524060153435769,0.7529826208993381,1.1280270767709517,1.4184711588584489,0.8593173693614934,1.2167956456492257,1.3777676448705476,0.908591172234801,0.7452073334282093,0.5499165000925292,0.6473423545678043,0.6516270875723886,0.4372614178082563,0.435755433526845,0.45545716677607306,0.44754623290311524,0.5120950358505557,0.45156580896162396,0.4583870379266037,0.5161875499709269,0.5768480700677866,0.652044696314708,0.5384796629043467,0.6568779183668961,0.6220485320506525,0.565931985386721,0.6496465766928888,0.7876050250578225,0.7807810505281247,0.7107105531470698,0.6494887822512149,0.8475300100930231,0.6171434280972135,0.587272251440887,0.649721753719534,0.6540318594787985,1.9603027335537604,0.9266693067392737,1.200909864203482,0.872609668387684,0.7551018320669551,0.6958000089031559,0.6598583075320028,0.6482402985389565,0.5634188334598231,0.6072940313687907,0.6463208650345731,0.6527361898614739,0.516379759941166,0.757333880481045,0.6468618258946929,0.7121045116842538,0.7511730825360753,0.45901326189261754,0.5186094686640391,0.605429489827632,0.6800700218149123,0.8994465996970369,0.9729471127520599,1.0454947514681527,0.8773033092277246,0.8725662642471497,1.0678493173963635,0.870856511293945,0.7833614292945151,0.9154219063280796,1.000953879437237,0.8220337062050486,0.8316394655570961,0.9586653314086068,1.018446653118958,0.8482491931238225,0.837807419038968,0.7349617461840207,0.7032825119662025,0.6634460564053904,0.685595332121123,0.6035867037064431,0.5766483632878292,0.5568100426873417,0.5482124892201586,0.5932507713313605,0.5621213910700615,0.5842704667476964,0.7508076145411695,0.7013991793169027,0.6919317625321754,0.8893167008540986,1.0364565589255472,0.9674761762754842,0.8199216018222024,1.13632288263544,1.202359363874436,0.8108083199515259,0.7103391384322411,0.5883894836701404,0.5815607984601915,0.7476000081731229,0.7365564081699711,0.8464805591480165,0.9229176248945878,0.6640744204981299,0.55768730048862,0.46411870169752456,0.48501268476674975,0.45716607214995186,0.4500845155091415,0.7393687187372876,1.6578629800548348,0.6117312257711266,0.9385271374313493,1.314648849013685,0.8569592891772443,0.9145163012335797,1.274658744463552,1.1810390358874057,1.2720751249623703,1.984615235947898,3.2886556913550726],[1.1712260788735713,0.550134019697453,0.46040591999695624,0.29882781274115483,0.33976982008317796,0.345754833522755,0.2746025169774357,0.23119788952303233,0.21522379960574822,0.1854155261749659,0.20025747320103843,0.2957997386562089,0.20351399594576047,0.1996202489149383,0.29046073300152436,0.2475033238426965,0.3411690209712949,0.3887815233485464,0.48146999863363643,0.42359390437639166,0.46663622257541637,0.6091573393354014,0.6156248234161625,0.8032023073169157,0.55798162994587,0.5636771794870308,0.43459869012547986,0.35768665124110727,0.3379070894015635,0.30518143592550345,0.33165026351099147,0.3000537751298717,0.41572792064067116,0.36189644646453073,0.3052110919321216,0.3336479027155344,0.2890752797794761,0.3432261881342471,0.3610991302491021,0.3524504986646666,0.5857203463342817,0.5396105035425898,0.505994019075056,0.5368738877506206,0.9801025545989595,0.9213771616257538,0.926364372469321,0.581094321965548,1.6952624765444053,1.37086005999643,0.9303167001278855,1.5156021646881142,1.1994780438935944,1.1403591358421683,1.5844862632288952,0.828270775633849,1.1005350075997111,0.6538507833655016,0.9750993533777055,0.9900534444572797,0.8214168947679056,0.5711224318823211,0.4542194940235206,0.7516764294866454,0.5332262621712113,0.5001498505731999,0.6581085210465099,0.4878303850908946,0.6802545649280882,0.5614858255978297,0.8414662778542207,1.1664573304651247,0.7473155418387164,0.7946286172547735,0.49909561987494994,0.940808963416253,0.3911475322530788,0.3671987774328039,0.3460772398498533,0.38524942608226875,0.36619630982071016,0.45159550255662406,1.1617156284455568,0.4030525084945384,0.5053840138530687,0.37167361070862714,0.34163427027728954,0.38870700415749343,0.33901354524062105,0.4274666341654094,0.3741320821100529,0.508009144377175,0.4546370577109881,0.36649291979167214,0.3478333676528737,0.4128389713713765,0.4122030807741652,0.3845494512338051,0.3629110643531878,0.6566625829127284,0.3498417002262327,0.4992382975947236,0.30788207084308394,0.4135906111448898,0.4044049382204147,0.4141983233753937,0.5137691766955591,0.32644810212757547,0.32663036881207025,0.553596343445475,0.27233439279481136,0.26795206728808363,0.23977027206106238,0.3109329585638314,0.28992427240585583,0.3567267551958238,0.3634696869882649,0.4195101257129164,0.48866474362995566,0.5108447332656896,0.4365849853928423,0.37847771624438425,0.44038837718907464,0.32646767964419926,0.28365557840002,0.2959593664501277,0.2668127459439029,0.31157851019159444,0.272587539131837,0.35019367830604786,0.30662117276470824,0.29403394127339555,0.3186809160994837,0.41318181757587685,0.3916832386699116,0.438191791419543,0.4895742200861872,0.3645621918613823,0.4349209280632158,0.4067285466525451,0.6303224599404007,0.6262365837718636,0.48566336570790347,0.3820928137131702,0.34733900160684283,0.3422378839093799,0.30229353877766996,0.3051946734050188,0.2547299983823485,0.30361179385850595,0.3717318834826835,0.5042806632611688,0.8519694097872154,1.6885899362082386,1.345844718647842,0.5007674878092807,0.29745249976263943,0.3132575604079379,0.2645092747521644,0.3481501356466029,0.30042744977509045,0.33605219198473085,0.3527978915471299,0.3274080250853582,0.4186645881450269,0.4793553887992285,0.4350839426969486,0.5435693309937331,0.6629728109692183,0.6284608808617682,0.4721225162371866,0.37567970811691836,0.34731670774382006,0.3310605396194252,0.2667184402808984,0.32255475663444066,0.3338683927842721,0.5763442732504204,0.3216455506421383,0.38870529599593057,0.35909637264967836,0.31169469101943964,0.33901067885872216,0.3320453196341385,0.39168263086416,0.5397794440973578,0.6730720872831587,1.028386139874556,1.401737517893051,0.7933923411475164,1.2103161124405373,1.2004841592196733,0.8029471506315041,0.662774533421297,0.4541387516696119,0.5732165831975479,0.6484448351995633,0.3432099706857823,0.37165083791776365,0.36576241607099047,0.37147505078968235,0.45668569143184773,0.37460127662793286,0.4101200293703439,0.4730676996211397,0.532500312944314,0.6451762060112087,0.5148517002545432,0.641385508603517,0.6067441086939023,0.5655835228294064,0.6517082225167742,0.7830273558525601,0.7475354614475522,0.714468409251848,0.6678813424813437,0.8386199684276915,0.6151941901860906,0.5891560702083972,0.6534999136190145,0.6707022066244652,1.9904237455246692,0.9269917577270425,1.1972255953129596,0.8094955329634176,0.7222963513275362,0.6695771675583719,0.6267398483123737,0.631444472101266,0.504718344658766,0.5452225955591488,0.5519493671495405,0.6099424710809978,0.4489978912943556,0.7008172809773502,0.6089047216937313,0.6735821686468458,0.7764135481007755,0.4104211974656242,0.46652888231770584,0.5208000523273383,0.6466426476602688,0.8626183125646815,0.9887502948670349,1.0265119760503307,0.8488290047649526,0.8296641857000177,1.031465818259914,0.8420999940607553,0.7545321304015393,0.901582167907426,0.9983284907996843,0.8069270278029566,0.8103027240901537,0.9588232480999653,1.0197326272079348,0.8214494731582085,0.8206243784998991,0.7113892591136192,0.689639368292193,0.6322946850519062,0.6286736034322884,0.5840658500448076,0.5420771095248568,0.5119997750032246,0.5230774166430567,0.5642855509495588,0.5166887666450029,0.548238617796512,0.7405959695294562,0.6970362962333989,0.6837459781683207,0.8560586764862839,1.0172693571230986,0.9931770846373347,0.8389066281440632,1.0646093109956272,1.064124198945658,0.7995763791211301,0.6769487135405052,0.5780961552562487,0.5587804121161001,0.7334354704245609,0.7338991986758173,0.8527851741072653,0.9100645139872823,0.6762657078994257,0.5221813657148429,0.38041122962130347,0.39250840922628666,0.4046387025204647,0.4407735531477114,0.798812954721029,1.6725388512629427,0.5814083431883942,0.9706497247223616,1.3149619576639773,0.8586832191279916,0.8845503172053606,1.3142677376085612,1.1888020136284094,1.0532379924218511,1.6995122773470965,2.801058074261833],[1.1884085355567173,0.5658219208171736,0.46749484865352525,0.28733528799891994,0.3166593000057986,0.3403296135652067,0.2582505348179556,0.2565808383217893,0.19531315419807085,0.1838465528238349,0.2249819367369532,0.29864654298515686,0.22566545903172283,0.2304481548951152,0.385701086214352,0.3151475361311835,0.37181161723941003,0.40306896449643614,0.4456939738810967,0.4050072666959861,0.4164772097963524,0.5638738246086302,0.5105640646171317,0.6898351764966895,0.45710527726567046,0.4697486443220361,0.3710858385986461,0.34067489440213283,0.3402161236231027,0.3278618589924577,0.3720598005464365,0.35445026036549776,0.4305047115959286,0.3803989324994453,0.3548552565456054,0.3430906872769064,0.3274238220135582,0.3464927544510191,0.34255780053040713,0.3371525638019581,0.5754704036572127,0.48884375025600174,0.4810518346268666,0.5752030309290542,0.8239252239379458,0.8588513001067172,0.7245102181566494,0.5926366865416629,1.9242991651982584,1.5377235596934815,1.0375750198643028,1.5789643797495039,1.2214943812447108,1.0537610575114078,1.6525487942268033,0.9358410067509483,1.1464782213595133,0.6228367080434626,1.0236878866850578,0.8975918292148144,0.7412141058438789,0.5575225237281982,0.44501505251946993,0.7096523375391806,0.4856497906821222,0.47119110915584356,0.6819651195053876,0.5025992614502134,0.6367317010023708,0.5714456289640197,0.8656021370872047,1.2010317402763868,0.7578492688770389,0.7459811218750082,0.48710600675980253,0.8994385732538904,0.3756531717744355,0.39240474393855135,0.36757689304821084,0.39513540687306686,0.40303280984451684,0.4784246385202249,1.2307929498165888,0.4898873748322036,0.46153005303802946,0.4047083096688639,0.3648674029759807,0.42861196253506834,0.3456973949246411,0.4570664366577928,0.39075435723908086,0.5098730335563679,0.4586233066555023,0.36558602721119093,0.3717112769378273,0.40368383006256997,0.4495995776832456,0.4076291946760314,0.39034459789026255,0.6569198323183664,0.3816969228490304,0.5298326860275517,0.35240972432853185,0.44016522116095225,0.4481386802003038,0.4451890784333555,0.5439444785657591,0.33709194380054447,0.35883250031300745,0.5395841675234796,0.2881798012531548,0.2736424558735188,0.2359099424494944,0.32479543059840105,0.3032328800535748,0.3788331159812548,0.3529046590275712,0.40782177050180546,0.43878438076570003,0.5214571241940054,0.3994555841324274,0.3664252768642514,0.41607853623195623,0.35218337999616894,0.3136419782033635,0.2991447753065312,0.27793370973948806,0.32344451042342726,0.2847375159366739,0.3650056818769583,0.3112257413324006,0.318490272580422,0.3121181889254875,0.4441422655002638,0.40156092739121546,0.42292531655565474,0.46568997011196633,0.37658617653913223,0.46032754032698886,0.3939779793582935,0.5774506497181354,0.5087056666324428,0.452344613449344,0.3734134400896665,0.32789644698470144,0.3311010431933731,0.30483717537340616,0.32237439506684235,0.2993281941920881,0.3115740386659494,0.3830114881733406,0.5226925654127889,0.8575458544919579,1.672741171202763,1.3542336709928486,0.515802588288026,0.3259990115978279,0.336638567287482,0.2969909843766696,0.38484958077231746,0.3227893343390376,0.3437209296848428,0.3493749221513051,0.30492094835828265,0.4277979360237124,0.4422737456674817,0.3958433650067713,0.46460519843087283,0.6110595347473929,0.5865210312268079,0.4510981886340521,0.36073094843669096,0.34381834627836994,0.3252993979193423,0.28997890665510984,0.35510489208358526,0.3551764117505901,0.6466983560609932,0.35382517669782093,0.4301132437679028,0.3405312173791319,0.34364518467487487,0.3534009044384888,0.3269708896084508,0.3739524277744474,0.5102417256637067,0.6289047326549151,0.9597810984545859,1.3261410257491197,0.700146079899102,1.259163041785303,1.0767160685437707,0.7228999219017693,0.6104509401401069,0.4097535058090227,0.451478235910628,0.6509380083421608,0.32792792421426153,0.3383077728576177,0.35335463200443945,0.3518384599909319,0.4496466476963345,0.35705178048078906,0.392669971848565,0.46753124874537993,0.5168381211177716,0.6461829445275415,0.5107098748992422,0.6343352049415232,0.5916064863544253,0.5688564479337115,0.6452377059662837,0.7563928849155761,0.7806984775162574,0.7063898045758878,0.656252293454002,0.8543656402102376,0.5946501878922464,0.5750866315060148,0.6505652103272671,0.6572990433249598,2.151047534027686,0.9584515133587551,1.2301461955622888,0.8680755792618166,0.7780528336036906,0.6992917964678329,0.660757279653719,0.6051361828262458,0.4927531804530116,0.5808979455253428,0.5688590829142152,0.5892074863842806,0.44866580512449805,0.7686967084908359,0.5136680925684908,0.5874404856537643,0.6883295614697226,0.3791259683853773,0.4778869358277897,0.5700274767774315,0.6979176439859321,0.9033994215686705,1.0237149279068012,1.0568236373652593,0.8885025289787448,0.8625967920141114,1.0923295639908417,0.8640282184855559,0.7743385325212536,0.9280634182895702,1.0057884492711184,0.8034998668982073,0.8225720998855789,0.9560477612132909,0.9867627720434714,0.8155234270309158,0.8186143734982693,0.7191725276832241,0.7013171031228623,0.6563461249860779,0.6683851360321432,0.5901494163529029,0.5425988622118355,0.5200979039341873,0.5118433006789627,0.5472987596245416,0.4892837515356467,0.5113561046609828,0.663683287415437,0.6475613738870047,0.6228054652831505,0.7824577578376727,0.9399901305541709,0.955315264331724,0.8104223494831652,1.0072195287691013,1.0681819683293943,0.780138424613517,0.6665977400186389,0.5798595654186183,0.5901952457265949,0.7434247258539106,0.7352243415235892,0.8069678193131739,0.8588980112088282,0.6382779775604375,0.5167201639563492,0.37728229562178167,0.403809909127224,0.39327383419584167,0.4328912201251221,0.8217716863006483,1.6933572451626144,0.5626053253272418,0.9716762010941005,1.3247792689797437,0.8408536046075746,0.9044491071828785,1.3476158978485082,1.207515884058957,1.2922953452103274,2.0945118849181767,3.314483160133248],[1.2708106678455797,0.6213382299637206,0.5150176894443507,0.3284629379552054,0.356396826339016,0.40739740534110896,0.3326939300676788,0.3671236777857936,0.3079996112314003,0.27683712261447035,0.3164442829437684,0.38702969109563595,0.33837782159988805,0.41720059390235176,0.5278880425318578,0.4644017728103552,0.5233030364202834,0.602221016741578,0.6912249898628983,0.5998995662696996,0.6285186840998996,0.7427884573765267,0.7418824827080951,0.959497321945077,0.6686466537360553,0.697498962970563,0.5644683323908302,0.5290135742542195,0.5014577945546675,0.4503738169005831,0.5552574780269304,0.47025006158142507,0.5719209898052714,0.5424240876976602,0.5107039854270845,0.5153447842872269,0.4365567958835883,0.5073369629330424,0.4877584452020424,0.4595156931413667,0.6855587818376674,0.6386653670155101,0.6378035790566066,0.6780179052766592,1.0101633139261668,0.897503602514804,0.9304752066668843,0.7232955681228725,1.8533042259684054,1.3995888802099679,1.1173277789738347,1.584509579621393,1.2303484138642837,1.1010123967264556,1.719250439606281,0.9914699411128236,1.2061325140967762,0.757108412247646,1.077403807781693,0.976319638028685,0.8249298197935689,0.6881038184976237,0.621369984297773,0.9432889883420561,0.6849366626964021,0.6484245286064514,0.8293386611540134,0.6947918284174022,0.8685649254202372,0.749981902724771,1.0570097129509402,1.4769308280534503,0.9305789791450165,0.9743869353441416,0.6942620937471508,1.1313485940683177,0.5901212450249816,0.5890970355915973,0.5504490237659693,0.5578694056051453,0.5367455488996629,0.5823065812234828,1.266660084091277,0.6154939683137411,0.54020631490015,0.49009733627055624,0.5092921163312453,0.5461813140481123,0.531628392534381,0.5620925638855417,0.5785803451243884,0.670130869366724,0.6301377945376949,0.5461394688118819,0.5395289726185089,0.5876194782493959,0.6072547645284494,0.5107186341831463,0.4811713917226347,0.8266200287695119,0.48367758911553127,0.5981076250051163,0.45497449022640357,0.5383328459836122,0.5204579408704348,0.5291801141383126,0.6059164333936295,0.43007522493109995,0.44741808670843897,0.5936954305202901,0.39149936893841764,0.3544384472534623,0.31388648128693525,0.360941812835772,0.4047065667732144,0.521989862195758,0.5406361319511379,0.6306729169388091,0.7051710297199744,0.7399421687527492,0.6714377214706893,0.6184050727981169,0.625755609738431,0.4770824467364422,0.3659824618241497,0.35687332958975904,0.34485670101159094,0.3791287017138696,0.3567436977387549,0.43320186306663455,0.3656876453179608,0.3848709149561884,0.37831693646133796,0.5009761969541335,0.4651359120650912,0.47935555471700864,0.5087263882426354,0.4436970293272838,0.534121403247098,0.5161031122856263,0.7275745731484128,0.7225638177313279,0.6336200378035267,0.5431745511404372,0.4907024902577179,0.476665063657803,0.453953135728999,0.42380850534519043,0.38796371896173765,0.3759526955530791,0.4772627179198941,0.6199931355833531,0.9907231068225867,1.8847793642135642,1.4800065344153142,0.6630235363154728,0.43199507453162544,0.4440845437783487,0.4000762953524521,0.4736672277010135,0.4150451984606899,0.452556190550858,0.46316169867013524,0.4236623077457318,0.5245559395864899,0.5699955636911144,0.4947847483882511,0.5671022156072709,0.6594024824449002,0.654161712019833,0.5189456223688661,0.4558412450431169,0.43253600727124936,0.4146349401398563,0.3822623881993631,0.4313306319051535,0.4189113973733746,0.6734519802806471,0.43614879639111287,0.5133709461895747,0.4244289615832233,0.42840444619445067,0.43950077606943644,0.42010406008717693,0.4566902858693594,0.5938401767962921,0.7002933783625391,1.0519148620422578,1.3629074332736149,0.7756996056959068,1.2946626025704322,1.162325540201683,0.7738577759791707,0.6614502130391886,0.47102675233957986,0.5040470221614356,0.6747621044382137,0.37767430064356466,0.3920488090031421,0.4308089193644194,0.44647260363698754,0.5475570229517063,0.45359401069923544,0.4761909539308957,0.5681088269502707,0.6138191773939186,0.7038827090652059,0.5971531696142542,0.7523673464983319,0.6961475158079842,0.6772612160991218,0.7816752010924388,0.8908982320292939,0.8695386007518257,0.8320435844175008,0.7623459725731393,0.9578654799749375,0.6786182143801763,0.6706353664878665,0.7668471186139499,0.7686733667994108,2.2536788435099466,1.052641497469417,1.2782557997468809,0.9377928007006082,0.8565456653959496,0.7913768717898703,0.7400333495236053,0.6826359832235314,0.574190955252437,0.669174634885412,0.6371037750909546,0.6636352943746873,0.5239069852634024,0.8087779789952864,0.5596747430109911,0.6194942889340675,0.7181715340539075,0.4460573795114375,0.5244266810034951,0.6371653732026002,0.8004206983811629,0.9801132154702693,1.104656369447889,1.1225962066018011,0.9685939261062287,0.9604535561947858,1.2049815237338424,0.9569567492420985,0.8873697190726436,1.0735406777376832,1.1532278057263652,0.9468638130280755,0.9738660524277439,1.1280973796639737,1.1227105257193004,0.9682162006552262,0.9832558361247026,0.8709607258388854,0.8409949821054408,0.7820238397674921,0.7805658178312671,0.7220576727640642,0.6577032607157186,0.6310168930886423,0.6196728647665907,0.6450397795505867,0.5662209906128086,0.5908052483399236,0.7218293209005494,0.6984784028555675,0.6758722989878129,0.8121604196863818,0.9753715109975825,0.982602022757849,0.8538187357383284,1.0227257255652216,1.0695131716561104,0.8630898860576097,0.7192613487206014,0.6370205644502261,0.645258631920576,0.7828336002605771,0.7588866467643707,0.8375510585510807,0.881950314135459,0.6793960694077531,0.5410844582579117,0.42823699951374244,0.45658059882336105,0.48898089633569136,0.5546086423043132,0.9532575291356089,1.7228215132538276,0.6573179483154625,1.0935773665047088,1.4098968930301148,0.9331366343703273,1.0006103626436633,1.4930554917642278,1.3488963072252707,1.160351307290171,1.882049473998143,2.83468458257434],[1.2722828423512609,0.6077861539208497,0.4990970020532748,0.3718490533856364,0.3818111640436978,0.3853359457337885,0.29989144261424394,0.31870928447429825,0.2573160264329195,0.24437647509999644,0.27273659377843024,0.35896703822019266,0.2953174217408444,0.3438993015039145,0.45230246617248376,0.4080997311410163,0.4621485833183674,0.5469008326644609,0.6515651192461345,0.5623550730509348,0.6043933201905805,0.7129821245540527,0.7456184916556746,0.96343861632425,0.6677392281617252,0.6907721041383865,0.5395283421672386,0.4813033532238572,0.4560605267188637,0.4094849764498034,0.512008420638815,0.43861937198964374,0.5622966595298312,0.5277202034843641,0.4731817966103622,0.4743498696859622,0.39705282508907086,0.46888567230036643,0.44543720016366045,0.4167882648280625,0.6529859069499431,0.6228805941007255,0.6081408206929989,0.6386542678507824,1.0550222856127427,0.9446428837038426,0.9950258604261215,0.6939480050772142,1.7700539014088816,1.3639298088732439,1.043036778053561,1.539365345756468,1.2135613529655827,1.1115352973628683,1.688814041261333,0.9349228414571662,1.1608723187539574,0.7320689628360029,1.0460319402360274,0.9849326207576539,0.8326567740320326,0.6612469083464043,0.5906979465807395,0.9264258979545601,0.6724046728720289,0.6193718835395114,0.798411223480779,0.6508580779875334,0.84292533807582,0.6980321956409696,1.0119649275228395,1.4215631019244028,0.8980507538818553,0.9698622289861556,0.6586396190353209,1.1441281961056524,0.5632923495954679,0.5662885006485842,0.5146566114864143,0.5204206406053333,0.49733818611729963,0.5485146131935273,1.2539380746100393,0.5496409123260267,0.5294293462752061,0.46333947271130993,0.46507210773022994,0.5010559481304643,0.4940292868035369,0.5353718643440574,0.5478445029644009,0.6581265849522815,0.6145190874883829,0.5410222502903783,0.5140597481735936,0.5868694960140501,0.5701531407543907,0.5001709475317432,0.45999734078777743,0.794395357109265,0.4474425292996328,0.5664635310030371,0.40283171102626397,0.4800383257702184,0.4702329101051128,0.48173035949100507,0.5907461717741644,0.3631584466941882,0.39357695982486607,0.5748610644924582,0.3342153714286629,0.31560803513682445,0.27462337718456387,0.3611488754745262,0.370180042497053,0.4759034642028372,0.47896243966818786,0.576168907852398,0.6315719203824657,0.6601526592751509,0.6037012363412385,0.5488298849862516,0.5977999361018178,0.4563111502608304,0.3577117419919885,0.3465595319329511,0.31920886174097185,0.3659035223135924,0.3191635111114847,0.40468667751981957,0.3497778324163476,0.3581085062860506,0.35354842647350115,0.4677500479349919,0.43959266299518035,0.47475082473047253,0.5152330621652073,0.43016971863331954,0.5176295240182331,0.5001078639178073,0.7261290913664075,0.7327686820629725,0.6102615578982222,0.5073502313358328,0.4483537161565645,0.4294383987493561,0.40152043784545205,0.3730914485410169,0.33152099358511455,0.34369475329701565,0.42535192482276396,0.5501715341723313,0.9631868298810464,1.867753951033497,1.4279223988159364,0.6123028419690746,0.3823399108129703,0.3855699261810451,0.343885664657906,0.4143516416752935,0.36224922481332206,0.4067942611974713,0.4267410841929174,0.38965945808279795,0.48632018860710874,0.5332798838438106,0.4827843618022682,0.5736862438225772,0.6711574898012259,0.6488394153044287,0.5076336922863968,0.4252262734411676,0.3983368496429376,0.37810210196912525,0.33780547064393956,0.3911306583514173,0.3926260757154914,0.6554932616454976,0.40740538738209536,0.4701972190387222,0.3888435461816179,0.3739287077229072,0.39211917006975133,0.3849705209495576,0.4382704210761898,0.5721928230031549,0.692237216690256,1.0664619453047237,1.377875810754299,0.7940984647851977,1.2526801877522766,1.1896549992536243,0.7939777034998061,0.6641272843387603,0.46049442541406,0.5230632385224064,0.6257854508587892,0.36244036776729616,0.3781902727512017,0.40171615104754327,0.4114705499408043,0.5112546008704225,0.41991718823553514,0.44259031227651296,0.5271559206093698,0.5758810997271601,0.6577306551740613,0.5546051095171652,0.7103770752078888,0.6570707510422857,0.641947100313476,0.7441898443827836,0.8629827162366993,0.828759569597034,0.8095941466098704,0.7464854061582143,0.9561961850312716,0.6758985048736339,0.6553184068445774,0.7380691018859349,0.7341819470267625,2.1446961179893345,1.006398789152553,1.2618389359430278,0.8910495718195595,0.8079690464475213,0.7471916060913909,0.6868816188889727,0.647163221237901,0.5433276072481367,0.6229383513884398,0.5921038340955858,0.6593715881144342,0.4985846193480637,0.7539856794622286,0.5875900121065832,0.6594901907564046,0.7253879254467658,0.4304891746562857,0.49985982462861855,0.5931179368900037,0.7418776780601004,0.9352542560992699,1.073889766409656,1.0875970248768503,0.9265844715209932,0.9164302107203539,1.1473039600234587,0.9267233845848679,0.8560577288894894,1.046156508813551,1.1363458709864305,0.9166775844188975,0.9341414333645361,1.1006174527432628,1.1026552452347704,0.9273375365466073,0.9442025366517451,0.819682452678,0.7969730309200037,0.7420769251315419,0.7323720122265494,0.6752093056778659,0.6125446848464395,0.5828848128919704,0.5753161948649324,0.606644010051841,0.5322253746769858,0.5559727732414967,0.7305024248993881,0.7022466556217121,0.6702500434174159,0.8107759983650709,0.9849282904523494,0.9850062744016713,0.8856235485475601,1.06705179306352,1.0790698961613372,0.8828690766075132,0.7316358400629976,0.6417891675388767,0.6192429559877777,0.7987926616806946,0.7775523493869378,0.8790504989332913,0.9430677665889408,0.7134653361678726,0.5479081370257649,0.4062724616890478,0.4369307061399202,0.4591917546123424,0.5368522722353343,0.9559744524661118,1.737939169798985,0.6406392602864618,1.0946005026771708,1.400174961893516,0.8974799743388439,0.9628517638621183,1.4879650809801834,1.3542034642769378,0.9370391842785571,1.6242471323326058,2.477058955731579],[1.3232701881073203,0.6152217520498586,0.5310762383091496,0.3588262943760399,0.3725153462305211,0.3749647603744214,0.29191581709423103,0.36028068150269416,0.2902457424069958,0.30111461458612854,0.3103458075941397,0.3635114798920467,0.31001898600138267,0.3455354493636694,0.4682347191861661,0.3939531687806483,0.4408027757174627,0.4960271814369901,0.5679202771219235,0.494902744482054,0.5314662786383431,0.6563735957543612,0.6494753157360733,0.821157316345098,0.5843916613295508,0.6113895713306492,0.49429175389997215,0.4604890886179149,0.42750576504519894,0.39540335589457193,0.4625238956490743,0.41137350877951073,0.5167404212965818,0.4737630670462569,0.4228801425212768,0.4285047554077837,0.3683616358694728,0.43189788163493287,0.4098746863194279,0.39538657152534823,0.6312420630817935,0.5631328207773869,0.5510278161814174,0.6039966786905051,0.9195127673082331,0.9074597452892665,0.8061328719270285,0.6196717127237655,1.873246138996883,1.5358250351955651,1.0381331499373792,1.619148028867466,1.2629149306152643,1.091777210215321,1.685620006343308,0.98369817155528,1.1701630609595888,0.6835242142498374,1.0759703860579972,0.9120544007023954,0.7972639734569203,0.6158471336600982,0.5327264336465168,0.8209896096972764,0.596238254802939,0.5706799999747638,0.749874241791244,0.5831522340987935,0.7368513383641723,0.6400720633480413,0.9323872992659069,1.3224710291251198,0.821563343128657,0.8634183833293692,0.5722296829094297,1.0312435016337196,0.4786431166584832,0.49557817058828013,0.4452685909686691,0.46214149438251584,0.43781684538591364,0.4953195066144883,1.2576128408660319,0.524292231623546,0.46140398792569814,0.42887102457030957,0.4442757700524281,0.45792421199120553,0.4343220886438341,0.5097654750441214,0.4738968561936151,0.5883430685982264,0.5430176625029138,0.4794879945500463,0.468395119250222,0.5351899265777454,0.5638573740136112,0.47859457180031195,0.45280263148353056,0.7427341078401487,0.4613097484157134,0.6254243578879268,0.4225307843301064,0.5187941867155124,0.5140630713412184,0.5175807692259291,0.678857524911138,0.3853729776475078,0.4019123150304037,0.5900204064285757,0.35558003042847836,0.3175137155436843,0.3010166163663448,0.4042553483588901,0.3845146398544646,0.46158107021306893,0.460828751172304,0.5290510755923175,0.5884304200941122,0.6125487458020203,0.5499834852415212,0.49428784840181,0.5430812082581562,0.4436623704906918,0.38588457192758197,0.3617502866032001,0.3039669209673453,0.3439842477595722,0.3096404423473905,0.41522216228811965,0.36078856415912,0.3973551217856461,0.3530495848134404,0.5195020695024406,0.4060130391826157,0.45429220052924324,0.5205988126756871,0.4267622591683397,0.5095360307686988,0.45646291414693785,0.6839387912544411,0.655328159076075,0.5793727076627403,0.46641608981708277,0.43671982867132614,0.42298845268306645,0.3907152207523665,0.37963565645904945,0.35809238367041674,0.3756477520497622,0.442332832754946,0.5376474405467452,0.9987343843223916,1.7676662606466955,1.2906856069388088,0.608583165909349,0.40530078682282,0.4170805695584113,0.3631907301714268,0.4507358474730369,0.35301930743696075,0.40969813808233163,0.4324822860253064,0.39392195225992227,0.4997709083379563,0.4681016259208534,0.44528584212601807,0.5424674820173055,0.6830208789957285,0.6352559658984168,0.4967062520840451,0.39215712174565137,0.3852072577093682,0.370326938971812,0.34994046111456284,0.3951687028539016,0.4155758018784519,0.7042472194779991,0.4100824200894654,0.4536180728574428,0.389436200754587,0.39944474963306914,0.402744680783627,0.3745464333014428,0.41638572087547854,0.5463303064056164,0.6494974861168272,1.0004238342172678,1.3350697235062507,0.6866645957585779,1.304354690983683,1.003253763402814,0.7012401399885615,0.6080153174385968,0.41997444558762004,0.5010707657589394,0.6673819094661528,0.3891664244503124,0.40557011322110254,0.41313571991742304,0.4402351600415588,0.5223445997703973,0.4320857528488518,0.46936592205314687,0.561117026039903,0.5975771549670612,0.7030002504887328,0.5917373668792579,0.7405685917790226,0.6776912547909479,0.6691879326373399,0.7674927987925108,0.8739857743751861,0.8173305870587692,0.8239662086330887,0.7850973402091916,0.958018957792101,0.7304151254628224,0.6913336820329063,0.7652790736907127,0.7859679875401316,2.157325004465538,0.9924147617238275,1.3153968880478841,0.8864529905051872,0.8339552234560432,0.7833560866275819,0.7390448340695359,0.7117212142497819,0.5569305516725807,0.6364201139569508,0.5784307504175883,0.6468646557309686,0.4996621777546581,0.7316874599340547,0.5989619388461903,0.6990678716663724,0.736195577495027,0.472249460526263,0.5382335531702993,0.6100795579086444,0.7517545706179275,0.9492427846692723,1.1175462713973725,1.1020596216253857,0.9383812257495853,0.9276878111012151,1.1418392695914603,0.9453902675820252,0.8746039108733862,1.0472544565650763,1.1325815998236657,0.9195088954926689,0.9391509631335163,1.1070046633628963,1.117102298854414,0.9447232397180189,0.9647237115815342,0.8459449704119643,0.8256912624807504,0.7658256781028839,0.751653657904722,0.7131043259814029,0.6470293127972414,0.6076663445585961,0.619502265850096,0.6514691181298846,0.5771643833978889,0.59460168532312,0.7695874794625032,0.7453215182137333,0.7197361133836211,0.8407805616319226,0.9833754845178929,1.0210224854615102,0.9140776435740725,0.9967150625161303,1.034174812479569,0.9688509918414432,0.7799421710371612,0.6740351822368127,0.6656884756978736,0.8362406065978882,0.8273521330399978,0.8880464156090667,0.9309323946019019,0.7194421735409455,0.5528405311382222,0.41424370693969104,0.44808877268958336,0.4559861719776263,0.5645297285082376,0.9699661435691209,1.6926262133075505,0.6175141635381269,1.0751613664725186,1.3608544144942945,0.8743179883198862,0.8854777754121013,1.4561769158474045,1.3499087073936276,0.860597735526306,1.5581418684678545,2.3144899707176907],[1.4016301845313366,0.6631129749843929,0.567882506680684,0.388896717108088,0.3899436290424216,0.37642936159006085,0.2972235261957943,0.3715744334794268,0.2863066237596449,0.30098492910051305,0.35324981646249376,0.4187390102872022,0.33815586012363824,0.3681705612349493,0.5429052344787889,0.46724041264419436,0.498102271599754,0.5560344098199927,0.6357092118005437,0.5642522358669073,0.5978195649880392,0.7084642739525009,0.7017504841958047,0.8950517482710149,0.6156462280022357,0.6492442181165049,0.4994249800746911,0.45722219428226313,0.4505523118757564,0.4366540597502532,0.5547162230711861,0.516679227228205,0.6347982009850076,0.6031344967953267,0.5380891210490103,0.49780975263131894,0.44245484130558005,0.44992452306794734,0.4163394191970057,0.3925943352665979,0.6608509567640901,0.6037627666269132,0.5940072366716229,0.6870704814122988,0.9016416563677498,0.8824013834543603,0.8004189116264337,0.7222269681391081,1.9887769749422892,1.60477447962603,1.1703446583223778,1.6889902674723902,1.2674656742122081,1.0943481911279667,1.7763549376654473,1.0698863153451634,1.2291133262951752,0.7009111524026193,1.0829675903204115,0.9384029362431685,0.7951506355575426,0.70424771657752,0.647891934255723,0.9306780531532215,0.6677115768707601,0.6325258489893213,0.8485513818745328,0.6990786185495248,0.8477086039893619,0.737452118179983,1.0626881199282492,1.4787891631248096,0.9316900602322978,0.9450604057918576,0.6954482654525039,1.1882454612511772,0.6155669918941434,0.6301828859162346,0.5682965856794991,0.5649133736814805,0.5157200778448359,0.5391897639467839,1.250716335865211,0.6134198910335638,0.46834645486922905,0.4302387916640043,0.47456714972221786,0.5252794540689361,0.521082175658968,0.6192520955237136,0.620661667275843,0.7244434519371955,0.6831694591938184,0.6443583876773477,0.5989406363748839,0.698860578734199,0.6996671185820288,0.5946735520871503,0.5448211551895619,0.81748527345181,0.5493299512252386,0.6756991079744276,0.4893674754180389,0.5703806980010976,0.562695968716349,0.5480052830977579,0.7350915269630444,0.4381851557855443,0.4456949865908581,0.6081033923168182,0.38940825110952154,0.326821767426355,0.29118239542479823,0.3680353168414006,0.3725128422207545,0.4236424090053861,0.44711915602401064,0.511096792951221,0.5837097121745091,0.6412506999462039,0.5554918618372833,0.504310848562803,0.5086655919706927,0.407076162931485,0.34413042879711925,0.3498887933825225,0.341846762135364,0.37177413010743343,0.32838743746852,0.4025245249337526,0.3595669469400704,0.41337379863089113,0.35575382383449655,0.5445545373404146,0.40459665733342776,0.448853073896039,0.5139085284992992,0.4139236676331755,0.477265162956344,0.433181734070704,0.6464339594621007,0.6318860130190789,0.542142790800348,0.44444143399298386,0.4202967469367169,0.4219349029757552,0.38732432173031495,0.3845581972099448,0.37591962625167297,0.36627411281185107,0.436453890369837,0.49894252625129887,1.036474205334991,1.8250587096162518,1.2541402812788507,0.6532054539613168,0.46265254636680464,0.460425660641101,0.40967428993364446,0.463759613439804,0.3836200048881278,0.3908292293922916,0.4122743757889336,0.3760793111407045,0.473561115730697,0.4751596590727816,0.41908627553523115,0.511471671677337,0.6745379935224773,0.6190482231007093,0.48634981477575373,0.3861156787607984,0.3826274114297571,0.39321045257662357,0.35710887199783514,0.3965949284153428,0.411627483319213,0.7076070996807371,0.4203688749656165,0.5065318758904892,0.4121412781989013,0.4324006700710668,0.430813812342676,0.40449681490141964,0.4166861888979943,0.5476842829907853,0.6647698445244989,0.9821459838946794,1.3602815295540844,0.7269026116931115,1.2743739990408671,1.0170648191293314,0.6984116213680648,0.6024163502100965,0.4226021801285098,0.48736805692789564,0.7320069096636561,0.42791554745951743,0.45395046796981753,0.4647217458785783,0.5146606474910498,0.6001281310758463,0.49332411829356937,0.5472181140709522,0.6422457862097685,0.6548685986240509,0.7550700095346115,0.6628844800458222,0.814358793010002,0.7459555633897116,0.7710687139258482,0.8811505666712096,0.9573058756566711,0.9311090911459542,0.9538169675020554,0.8849252370853421,1.0354868924797749,0.8369933442385246,0.8020762764218208,0.8696284214235898,0.8914166990196436,2.3111717738649147,1.0894866315601401,1.355603913657528,0.970040690053426,0.9310991678621893,0.8661130388124509,0.8111500271404227,0.7853080204920039,0.6410009153867197,0.7403833871852266,0.6644679892449404,0.7199059239009808,0.587296251002034,0.818883839271257,0.6482377479489558,0.7544297051598441,0.7831720880509792,0.5473615365370748,0.5977437591326082,0.6669400819442285,0.8538135410396744,1.0385339744250635,1.2172887422793028,1.183834347234848,1.0353545925837389,1.013775339068201,1.2501864127243383,1.0169161310781312,0.9577119237658545,1.1690757203446416,1.2477183384435144,1.0169670805042101,1.0512931980421347,1.221543915127585,1.1857955687344617,1.0449967020970719,1.0830876312480624,0.9559987339848708,0.9313087357522987,0.8651612479458013,0.8528528005825176,0.8202089210453811,0.747560501814279,0.7174520642183544,0.7280668960811887,0.7576657495931284,0.6738349089348095,0.6901967566264429,0.8709850787178515,0.8412812899541577,0.7949710391170992,0.8987159933554506,1.0276466762925878,1.08651227453039,1.005323566569943,1.062818705971507,1.055608145231664,1.098817169642932,0.8723725201242519,0.7660706016945695,0.7627082191797094,0.9101198468719267,0.9055983899379727,0.9511561119211208,0.9794873036239785,0.7811907209093271,0.597140522645276,0.46795382204821157,0.4809151328630899,0.508622248835273,0.6211911433976374,1.0650881479031333,1.6641737259022182,0.6336957807224366,1.147743377086545,1.3640457442216747,0.8773546883245009,0.9171085459957874,1.5502428465387392,1.4487259179372278,0.7899892339103622,1.5929207610249168,2.3579511152597523],[1.4158912934267824,0.7733184588427777,0.715855846584394,0.4780344286613897,0.4488066700235601,0.4406866659451211,0.3711741389035829,0.4843225489644026,0.3887856087208027,0.3832531164602186,0.4564489966512826,0.5677938556877979,0.4704028928207452,0.45477789504510024,0.666920557725404,0.5955761560314624,0.5879323753016893,0.6381457895967485,0.6642719992632908,0.6322866700345497,0.6462335587484247,0.7742888844594062,0.7090912619389628,0.8601315717535819,0.6133737142238401,0.6446996572559203,0.5223296772845374,0.49707217903889267,0.5495071646881977,0.565771134770473,0.6935541351921074,0.6624666299160714,0.8152011158376347,0.7965753447394758,0.7042212820656681,0.6292445424705835,0.5966589308826812,0.5493117824477574,0.5203059915448042,0.5332047624580273,0.7333470675776599,0.6380269122612641,0.6548036401150443,0.8239971205051208,0.8467726493150813,1.0086155674522734,0.847177320965606,0.9051654399245934,2.2323885767413674,1.9160327984221555,1.3964883152506489,1.8993831280947258,1.4517347131196803,1.2530875306465523,1.9143521064184608,1.2803322244152313,1.3514884417820565,0.8047107908145891,1.210120727369096,0.9851053393241742,0.8049045467718818,0.7862344063156641,0.7638406499853738,0.9872005455119143,0.7199698299036494,0.7040069853498604,0.9382996188273479,0.7903309618371064,0.8688079250454424,0.8040735096329368,1.1087328390550448,1.5507128688480696,1.0032307768529891,0.9859118434194302,0.8105905999907524,1.2676204920737997,0.7586320589359865,0.8022688558365146,0.7291567126606932,0.6972556568753533,0.674872856304374,0.6840759298726147,1.3573653437597906,0.80388013374842,0.5761084056722232,0.575390367052877,0.6068784210752148,0.6725006379275965,0.6665390449584658,0.791740849626437,0.781318943640216,0.877975757970508,0.8439511291644507,0.8205393287373028,0.7600661611946884,0.8704816617673472,0.8602018254206778,0.7637969099548035,0.7116778707558976,0.9224353509309128,0.7057498469008381,0.8190895169786585,0.6660527922155257,0.7085592835277875,0.7229297718496813,0.6529362001567434,0.885650103511725,0.5988958144001363,0.612156263959494,0.6753608178408823,0.5314789919873264,0.45385285448528784,0.3938817532566841,0.41617638004885293,0.42475437707405234,0.4383384018927828,0.468129001618453,0.5065300026030898,0.5970711492115,0.6798213525971698,0.550598047759466,0.5207268729449216,0.4934271952901678,0.4352697456873221,0.3685189871838666,0.39835223386849217,0.4335550122682178,0.46293660075345694,0.44495464705585774,0.5118806473145249,0.48542045268942324,0.5636354046041759,0.48280225861125364,0.6549790134262099,0.5101588118845125,0.5265967264877375,0.5797932247410376,0.4613604990332346,0.505104754170944,0.44750218160866634,0.6224091240070126,0.5868364501463652,0.5320970705907793,0.44436633733219666,0.47451944463775503,0.5078097137699293,0.44428784570551505,0.46528832355100724,0.4658965521489526,0.46960788565658085,0.5766727500672063,0.5673893004439189,1.0800319089486348,1.6390994634417162,1.1100465233897723,0.7596524847866317,0.6270148725145409,0.6032674800442839,0.5552489933020822,0.6028042333683321,0.4952768445317738,0.5065903545374181,0.4672012782587889,0.4583941407435193,0.5385992376193091,0.526174003695238,0.4949501593878651,0.5704710237945902,0.7350096348367271,0.6620311784536682,0.5531927841633656,0.44431789067730443,0.48623722202951347,0.5199465659052319,0.5021018241089418,0.5453470435689609,0.5535802705519399,0.8305399049004325,0.5798126987791695,0.6428602575780517,0.5401700814177988,0.5569773074366976,0.5634354657682226,0.5341300049075233,0.511749935911907,0.6123472351482291,0.7105992984464002,0.9687899857493245,1.3394750323584386,0.7475188693027851,1.3026046351456901,0.9633604214756601,0.7256855501358214,0.6632670567427288,0.5501289591275156,0.5770625974855234,0.840444782253526,0.5672172902808171,0.6096672584017641,0.6100470006311732,0.6880379558565606,0.745297236738149,0.6425232431514654,0.7282923698698842,0.8313463854691777,0.8139103164453364,0.9203052801050756,0.869901228477434,1.005075502088662,0.938470804747826,0.9874159299535545,1.0979938064622663,1.1343426751009218,1.1334801370929872,1.1815015335506807,1.1158168778802813,1.2553927047824243,1.0509164138504299,1.0154259137849486,1.097538197190822,1.1376670976549856,2.5661711781610923,1.2976427931970937,1.4514150326112052,1.1205539487507616,1.1339208007438446,1.07223202788223,1.0025907192992638,0.9898104223857557,0.8459652592913361,0.9229710685438941,0.8449550283257282,0.8795203089114533,0.7699708799495811,0.9894361381259991,0.7966559684293669,0.8704323563459027,0.8523621898865854,0.7086967162344388,0.7489248350593681,0.8250423977923861,1.012108387670824,1.1502578232649934,1.353986675333893,1.263908028084564,1.1447626491164526,1.1557462999629684,1.3808960082115096,1.1186168498263511,1.0935715393249492,1.3096346434693311,1.3702086478432476,1.1506942518619632,1.2157515167440334,1.3811182133333322,1.3259929581728773,1.2365799358646183,1.287626265778835,1.1720213455969537,1.1409545920045363,1.0592869800919256,1.0511288230364377,1.0496358816406248,0.963456206554512,0.9304400442041912,0.947533362769964,0.9566969102341065,0.854854174777458,0.8888221247080886,1.0262423119043713,0.9937426215447308,0.9139748885421041,1.0100633257954992,1.1366141915421697,1.1957806507200373,1.1354686264684577,1.1500585612824799,1.1568545579743164,1.3036471530816485,1.04060319451955,0.9496081893113884,0.9624029658019331,1.0706188968235082,1.0423679348340678,1.0463896500793632,1.0449260600475896,0.892915654736444,0.701034585339954,0.599550278911335,0.5730737418041306,0.6121269901357327,0.719898658240938,1.1625538393934531,1.569384795538442,0.6870561855281858,1.1804724528303079,1.3000851287684305,0.8880582193343413,0.906528848998525,1.5206432179112506,1.445778522286666,0.979253661563629,1.8096502756872868,2.870845489536495],[1.505588131370457,0.7667856032339562,0.6495694609049537,0.4772681873229311,0.4651451740080769,0.40356291469167993,0.35254323393676373,0.473854830660663,0.356499897132454,0.3482378562138864,0.3973126735903176,0.4875676922567796,0.3948538900198097,0.39866700213168604,0.5887998460550552,0.5087111393240022,0.5057033953447875,0.5826850030779542,0.6498697580038425,0.5881548552763181,0.6180077010082426,0.7148492077188837,0.724426029241393,0.9090858805965073,0.624776661310065,0.6596626063637984,0.5154599203001322,0.4751255842873406,0.4787321328350997,0.4704629526040655,0.5999508248100097,0.5700387346641006,0.6985496783087374,0.6807521243542437,0.5914996269915614,0.5380037125598025,0.49514613545122627,0.47947246799511906,0.4473426753561572,0.44130957361558537,0.6956900138360071,0.6095446131912746,0.5943453381650543,0.7229367682234165,0.8641896880167891,0.9437151686749624,0.801028987077403,0.7488005000846875,2.08697600715669,1.7659332719524976,1.2140810256646846,1.7923693248957655,1.3157901217742314,1.1307962984343134,1.803443992249796,1.138219768209231,1.2529381855178223,0.7329537454450384,1.149927608975814,0.9588159278985519,0.8000202959837198,0.7122532033455274,0.6816238657234891,0.9643694620489697,0.6815385584767808,0.6407154456649485,0.8764055225636856,0.7308271104557664,0.888527194215924,0.772650696784177,1.073706673385421,1.4931825003460704,0.9758758532024188,1.0022317624527393,0.7469228180643727,1.2252671513558373,0.6633555365706448,0.694980714434206,0.6282297884054346,0.6086090687857699,0.5600453934785685,0.5740298096203977,1.2807725326173172,0.6559398031958875,0.5023568405490475,0.46621795482316125,0.5047316122670676,0.5584060085308797,0.565370004994658,0.6818865775995814,0.6774115329336552,0.7913549992317824,0.7542007283616792,0.7148526153986928,0.6583724886738512,0.7662147105169583,0.7595930582794803,0.6610277812922093,0.6097348803460807,0.8561877051047457,0.6098137335037664,0.7356920977989067,0.5666396961522616,0.6433656317491472,0.6531304743530236,0.6197454869404635,0.8616882733999701,0.5665931167053537,0.5641013434192609,0.6764819255312678,0.5018222028657714,0.424077386539512,0.38496701941127504,0.42220649436503754,0.40181843260977085,0.41772466601732194,0.4545040441576904,0.49030841049456525,0.5675684509404693,0.6293742298922078,0.5417000683131937,0.48283257142532365,0.48462531869245,0.39261685715592387,0.37621371424111283,0.41517133895047686,0.4105048260087785,0.44222454760288643,0.4249784874150033,0.4774629891610871,0.4491575685448049,0.5190996433632816,0.4491784691104929,0.6046307075678098,0.493853025157743,0.534939068657658,0.5817134835737575,0.4439282881034905,0.5073825654137968,0.4521465879806164,0.63633951647721,0.6051130172648487,0.5167950737788282,0.4488377814936935,0.44015003181636264,0.45782831702575966,0.4113131664655074,0.42181670976910013,0.41786559435472465,0.4203519702815019,0.5317819491310772,0.5220212055216484,1.0451793608396622,1.6278498062682187,1.1085611080309583,0.6920903918691966,0.5344314034502722,0.5204980132022505,0.4673440146441864,0.5344405740698236,0.4275545468994471,0.43641358951332976,0.4396414200269411,0.41628072003157196,0.5213321293617094,0.5067462015096188,0.4799246385685872,0.5972351220098703,0.7764587969203828,0.6828193331333783,0.5578372390456092,0.43823340983855014,0.45908777560944436,0.45542167798660627,0.42184490780209355,0.4582826852993777,0.4772836425473783,0.7755516205970983,0.4845775787026964,0.5718382522146056,0.4696596019249068,0.4820055438069587,0.4994064912385939,0.4635953964518356,0.4496185005381393,0.5442578806943957,0.6760671382002459,0.945270702123997,1.38973555038216,0.7484118976008042,1.2422651112551448,1.0039795395752251,0.738000642273671,0.6527963119216543,0.4916081152133619,0.5791731440361214,0.7862902443088883,0.5173030741034547,0.5605063064818265,0.5561399870958321,0.6298271931245104,0.697772336510903,0.5922583659644872,0.6567999679588763,0.7623099975179398,0.7491468521890079,0.8070392183892658,0.7884049258094359,0.9343212406930503,0.8455694759268156,0.8939336661097917,1.0242869669831138,1.0643799936432103,1.0293108410759184,1.1076499863057316,1.0243631225208751,1.1734984737546625,0.9735531725225387,0.9528364376521283,1.0217547921811951,1.0388420111797925,2.3471387139281363,1.21997273196447,1.4908194050629995,1.0840244755428283,1.0458742669053203,0.9783049219300319,0.9321138881336917,0.9440245427493313,0.7988455608153043,0.8719104434082527,0.7950877892087512,0.8549813823614472,0.7335426521110465,0.933734159568413,0.7711205335453247,0.8629242638618473,0.8160305704077625,0.663716673844495,0.6814431771522671,0.7644280900415353,0.9488048929200197,1.0896368758719142,1.2974999654200285,1.2224739743021094,1.0923582282584121,1.0728647858968345,1.2796134170399291,1.0525341794024643,1.0401220963469944,1.264272272743985,1.3395229095892787,1.1190817867781113,1.171790302044441,1.3382686741970875,1.2857533117470552,1.177136405078876,1.2349528872151567,1.1057769897665763,1.0744833799504914,0.9980432687813146,0.984602483875145,0.9857532027135905,0.9014474820736503,0.8684906734418697,0.8911876022009453,0.9079113488279595,0.8046812484428587,0.8335756152624558,1.0175993600853763,0.9625692883971382,0.8872222150382928,0.9729504069358668,1.0712701983115407,1.1420248082335347,1.110615439751551,1.1444732539629419,1.1158805178115867,1.2594892149064112,0.977757158913212,0.8741134962259346,0.8597896741286251,1.0041255147848482,0.9842691488919104,1.0227748556905039,1.0165314979986537,0.8467098307513462,0.6292146552998189,0.5627773610176041,0.5942886419289602,0.5993513018056447,0.7460815206749948,1.1921115575273773,1.6194122245340106,0.6944991777202439,1.1801597372852415,1.2625596172031115,0.820386817660567,0.9097761912637299,1.5216073263328687,1.5207186543022648,1.0381099876434812,2.029714879164869,3.0516421476096256],[1.5301887960817608,0.8575283208456611,0.7297147105414451,0.5253873496466872,0.5375792542079485,0.4601999473885945,0.41479872566515646,0.5690958755770762,0.4135439298774613,0.38277517243009834,0.433787895255098,0.5513908570790085,0.45612782864777557,0.42970665636663147,0.6401410066480895,0.5668217329466697,0.5685054439431202,0.6254233200514571,0.6771337383210243,0.6245278075080998,0.6508341835982195,0.7512696906842882,0.751459117384949,0.9158299943972338,0.6268800678131486,0.666443254143993,0.5393114598094654,0.5021851630004512,0.531464351107516,0.549735768017638,0.6602076951082323,0.6449277441588207,0.7808493674119013,0.768546590599283,0.6793806836900333,0.6055507814054857,0.593702115244084,0.5400676919792937,0.4979062451306368,0.5139415369895194,0.7252566395754562,0.6325916522237894,0.6373836160655362,0.7925048753741443,0.8410406972474996,0.994737331808453,0.8218172572196034,0.8500445138468957,2.222776578820375,1.9108920595614431,1.3495508287899625,1.9238693979901442,1.4112561755301334,1.2348589936112033,1.8679852599265723,1.2444109639650858,1.3307333654394562,0.756556351123614,1.1799122040943137,0.948661393945004,0.8045772363002774,0.7790090070816359,0.7570704144737014,0.9937058998132817,0.7221665590817563,0.6864835153707964,0.9308266763361052,0.7857834821055566,0.9118908944359254,0.8181126531973186,1.1176061366119912,1.5700504911860413,1.03476213592376,1.0454164571549154,0.8034711264246455,1.2794455144726855,0.72921241993634,0.7885120057395046,0.7084553436949493,0.6665340882556775,0.6436780400106531,0.664674114813051,1.372641770321594,0.8030260968283062,0.5581444669811676,0.5471182869934357,0.5763071563556971,0.6642250200553448,0.6424643397901442,0.7754508378984519,0.7575211612439811,0.8701275019658472,0.8296179866026837,0.7968419673217279,0.7251047566407909,0.8381570105455128,0.8294402889274327,0.7432593668506877,0.7059540423891841,0.9346713533013424,0.7249205624884458,0.8735204333428928,0.7162389089268785,0.7904448623089955,0.8007283365247498,0.7492394831493824,1.0208552917974927,0.7385123558705792,0.7234324558172687,0.7851915466705689,0.6331638041203983,0.5401043799355127,0.47765167125812896,0.47275658370987156,0.42790413758416873,0.4286430749565514,0.4645773800382033,0.49316349053364006,0.5859767968117221,0.6653315718020254,0.5523486578161346,0.49376261426523477,0.4833126451955351,0.39737651352223813,0.39158933158576736,0.4616860221819636,0.495966512895842,0.5173290478207384,0.5502657420387338,0.6092120080182805,0.5696583534797093,0.6604761746951118,0.5740186792955424,0.7053258184301786,0.5971748831637669,0.6006532330633171,0.6564211916635708,0.48608294495636895,0.5135667169068657,0.46710484653785167,0.6200373513994518,0.5928714669155026,0.5072093725094077,0.465205425984764,0.4706494554544204,0.5093649945141662,0.45298170942588084,0.48734156714125443,0.5099598803831484,0.5021166306408968,0.6505395950535244,0.6190804273633556,1.1074855909306098,1.5414128853663205,1.0589961100496623,0.8151823602968182,0.6551540486909802,0.6540137965651405,0.5807021884750689,0.6489475768760024,0.5303989549094852,0.5092559407412229,0.49535332251492553,0.4630840610786964,0.5907279979371367,0.5356835975211578,0.5402886884096021,0.63162808685293,0.819947881303178,0.7168950585784374,0.607268508366601,0.4884402445169913,0.5450031170128754,0.5619136049598539,0.5314030521370363,0.5968090511668352,0.5870326096295204,0.8951878118734639,0.6063665827131396,0.6924189325256332,0.5866601572464644,0.6202369124811383,0.6339470466394233,0.5875092467553356,0.5352450254213343,0.5948804179515816,0.6885654079096073,0.9024441028143123,1.3585366379986012,0.75348450539316,1.2260939641449327,1.0272325941217297,0.7787584737550595,0.7178320174384545,0.5939091199972424,0.646640921389073,0.8689732647650956,0.6501182251621841,0.6833409825691107,0.6958474515369041,0.7991488739714131,0.8676701190317642,0.7412090488544982,0.7903902713703919,0.9225640681442517,0.8883175503266217,0.8749973978876542,0.9142829446266262,1.092076774691632,0.9572701788349515,1.006583985535037,1.1662940364264929,1.1780538754777012,1.1268129816301193,1.2294381940649157,1.1315543247483075,1.2908496690347944,1.066397865461835,1.0650861988214966,1.1619231365953915,1.1955715042952761,2.5157488166799693,1.3774746092121584,1.6224603275992306,1.2507830078350741,1.2335866165413834,1.1610261820940488,1.1217433930277363,1.1106475433021044,0.9909567242768803,1.0609752943638509,0.9735191222111513,1.017401725396997,0.8996630933948426,1.1045189999168257,0.8859599295078072,0.9412241802853945,0.8705514055545215,0.79716245769581,0.8499165432340989,0.9391508412014115,1.1236036594541983,1.2380197315753272,1.4601016230237687,1.35768233208288,1.24225499833321,1.2339922432180555,1.4235859914063353,1.1703877372918197,1.191068803622891,1.426939271070521,1.4844937832561882,1.2636999367072694,1.3518855169867152,1.5059186644311833,1.4230546599388614,1.3369032867330486,1.4217279261807827,1.283613301677394,1.264886553413365,1.1886673277984587,1.1790683678923575,1.1815483029091505,1.0723843223527416,1.0426583759227055,1.064180628131515,1.0598051597326246,0.9458730854301861,0.9974473767990267,1.1276344582392184,1.0526017892905877,0.9568830399937561,1.0348851575213625,1.110110333019173,1.184665885831378,1.1544065980337377,1.1793515606915763,1.1373218944280774,1.346565863530509,1.029504459439628,0.9395077087888736,0.9202941846346456,1.035642262006103,1.0027415774370732,1.0246867914974962,1.0142853311473323,0.8931413572103198,0.6872882319488874,0.668760434124871,0.6998441363534725,0.7282652188145438,0.8772685510625507,1.3169876218820615,1.6355563603931378,0.7855416336770076,1.2456688962984337,1.2375768024274632,0.8749631713556818,0.9801382632430307,1.5430562539107284,1.5019058095185673,1.243140797697986,2.268600943205245,3.6159051675826572],[1.6034298843790191,0.9299145989842349,0.7947613786418605,0.5724243320599007,0.5837633294151261,0.4926503495632899,0.4332415823962113,0.5678970204126874,0.41358219248366357,0.3701613965836252,0.4116636190162345,0.5304534669552584,0.42965693972696606,0.4146402832221183,0.6116914448355415,0.5407275787661227,0.5345045221441336,0.5926900589874533,0.6482211870685483,0.5878867207640519,0.6159774656850459,0.7243619248398738,0.7103524445361609,0.8825281167977304,0.6116412855002351,0.630300021318659,0.5098849990161416,0.46362498438211647,0.48945065232866825,0.5194131702424993,0.6360462722009116,0.6216467985994978,0.7638007939231131,0.7499151086766785,0.6534630248594082,0.5786192675736899,0.5608175037805019,0.4963719548095567,0.45219167002976196,0.47336557979047705,0.702034202922449,0.5817017003607436,0.580505680671681,0.7243069330228281,0.816433862192721,0.9668640813902531,0.7960506123422206,0.7870100423900398,2.1655967534574425,1.8851583607404636,1.2914864623104065,1.9119621446585235,1.3861056717931832,1.2037572811987034,1.8418700161562667,1.204534866762448,1.3012511166707317,0.7450380056678786,1.163379636982892,0.9531504197196875,0.789273569090228,0.7517408883738048,0.7376997737428929,1.0069630097363615,0.7072216282506569,0.6628617051829495,0.8999858465389768,0.7576193306172548,0.9043279535259071,0.7925142023041205,1.1034919888696957,1.549940340388895,1.0152243854270164,1.0392044610698528,0.7884457942757028,1.2945380758422789,0.7103564077208505,0.7735326356601525,0.6817702353404369,0.6460221116621013,0.6204390353428602,0.6308186553227264,1.3555259763629748,0.7699541579581728,0.5420746730629357,0.5211538619097013,0.5341263794278581,0.6302969902278962,0.609234047382169,0.7489503417294675,0.7384780944175056,0.859478042786956,0.8145650249338797,0.7783560946485566,0.7026147061843073,0.816675484979094,0.805371023001767,0.7154027728019323,0.677983655193793,0.9197347275135818,0.7026220432661321,0.8654919449626164,0.6927725353287499,0.7929232126497585,0.8088517481705834,0.7630820657215949,1.0651134836929754,0.7742378943014337,0.7658836720160087,0.8250872152601982,0.6728080514131307,0.554267888605031,0.4775902383023268,0.4602773771215841,0.4126294408157259,0.41864998888913224,0.44410145096937775,0.48238025696659953,0.5952629638746976,0.6727597054457305,0.5655058783327801,0.48928681639606775,0.4810734438988433,0.38796485474843595,0.3681937151974542,0.44791339128605323,0.509597539310319,0.5437193067052088,0.5747426417780794,0.6317979247654846,0.6099224097353835,0.7037823548791763,0.6071217814330724,0.725879320812588,0.6161445901854649,0.6374455889756655,0.6755429226816149,0.49445126960427244,0.5295382571676314,0.46505360494542347,0.6320402058562188,0.615727671096787,0.5137328829252924,0.45077128868599103,0.4522725535220075,0.4746192229901717,0.427447015008565,0.4654413524173783,0.49206893921048345,0.4939977477642852,0.6440465834951675,0.6108505874396212,1.0931416891189305,1.4865073543079834,1.0414819278587357,0.8016409435900409,0.6368957024344335,0.6466244346723553,0.5540045321247092,0.6439712924072896,0.5087633196991087,0.4803296312556802,0.46482066958745255,0.4270378029620275,0.5764637038549513,0.5297450274624937,0.561331612736371,0.6722709883323612,0.8620561214811265,0.752112888276641,0.6322084677259835,0.4950785130582475,0.5343622030268127,0.5443631616875186,0.5075978456998095,0.582960618606747,0.5645477166324011,0.885580762574651,0.5817604133570763,0.6834790077037631,0.5729742074596296,0.6147110975412957,0.6283727810107911,0.5877746983806416,0.5207554945952356,0.5660874568705802,0.6586662434869861,0.8847848112353559,1.3605711176069042,0.7546923574214743,1.1985006910909195,1.0150501466939226,0.8113967884370771,0.7588779755586266,0.618026248482181,0.7025827623383558,0.8951422263389709,0.7020802041343474,0.7462965322559663,0.7475422960007955,0.8699150495341675,0.9309304802479489,0.801142738242953,0.869091799725118,1.0085093750457088,0.9666663818042365,0.9244315288462267,1.0074096753052446,1.1812652652200493,1.035529506762894,1.0915127138905847,1.2719164801773897,1.2688089985950413,1.1705868111445155,1.322205223946531,1.2117384695261948,1.4110156928857127,1.1615192026413845,1.1655836250214393,1.2716847875498223,1.311681091066508,2.470040577970149,1.4676592345740322,1.7219311112604383,1.324242771854779,1.3141657690310693,1.2509119334010554,1.1997601946485708,1.211618729083854,1.075608453093279,1.1334831948515445,1.0577722686204003,1.0992632728308007,0.973494720018736,1.1128851001758158,0.9560684666133928,1.0102335103518036,0.9107415201930262,0.8632486301714262,0.9125852195297003,1.0007952693786808,1.1834299636304733,1.2869897430536927,1.5553037353765655,1.417365166448901,1.2917593710603696,1.3082392509114227,1.472027544757728,1.2410072259197327,1.269046098192421,1.5062013325382573,1.5660216039247348,1.3421239945414796,1.4406627368194644,1.605981624093911,1.5233235493331112,1.4328946672047225,1.5274763931787931,1.3834430734527559,1.3698323327034994,1.2816075463660592,1.278047622279557,1.2936831289246988,1.1774102924832273,1.1371015899416694,1.1722206240617636,1.1670596427595106,1.0329702892779762,1.0989276339178287,1.257828526873907,1.135458429622182,1.042135215857601,1.151972450128042,1.2018956818008713,1.2555284630275154,1.234016618267569,1.2700818043804625,1.2096707790184247,1.4559981798906574,1.1062910173718814,1.0086359376225074,0.9766396127120985,1.0825889716955228,1.0449230381185655,1.073407272089526,1.0611372545350068,0.9574714438469164,0.7292482038201958,0.7152373711890178,0.72119334819706,0.7855461401297232,0.9377097415812022,1.3557088287905124,1.6058891134060693,0.8369621129984642,1.2664227311025362,1.214431048630397,0.8498473432408897,0.9968418685465029,1.5051829219644526,1.5284911430409958,1.473223834777848,2.6059589714294558,4.1084696584431715],[1.552166223324145,1.0256600345049915,0.9190231855208927,0.7230094186664967,0.7507537112848133,0.6304479447259653,0.5657841724543192,0.6949153689573042,0.5384998541733791,0.5084991064122635,0.5350293930790871,0.6353483827466782,0.560971664399321,0.5282993550470524,0.7368343334113728,0.6679190046837853,0.6477195931163993,0.70995757958348,0.7467626638541197,0.6974383857390727,0.7206900737478109,0.8119655156470376,0.8071901824427306,0.9160657332311498,0.691027868103804,0.7201084957945503,0.6044190234579192,0.5781285434019424,0.6233877302089791,0.6523605996879629,0.7560786840182506,0.7283356274421128,0.8661363856729124,0.8767497972195145,0.7720219763559069,0.6969741284491929,0.6919517947034879,0.6391466378852694,0.586017114390815,0.6204842266897767,0.8109857859631441,0.7247466365106152,0.7168372195669576,0.9052105629813596,0.9054944018572028,1.1013839753519437,0.9664308147166095,0.9918994408814475,2.328730763723152,2.079745563018137,1.5027298265987177,2.0215630282523245,1.523270756643239,1.3538031388969678,1.9934377233095428,1.3650966788861014,1.357336635997049,0.8554690170799826,1.2917582603224855,1.0190456955340919,0.8364549688273046,0.8541087985452404,0.8364157334993945,1.0550447904536575,0.8103125078567878,0.7550353785463624,1.0054091171145274,0.8797064831864592,0.9758197923831823,0.8957753358330366,1.1865853726953335,1.6159148653163953,1.110882032863828,1.1070378212159873,0.9009831723844153,1.3414413634690572,0.8409944602226442,0.9062746558121417,0.8158082418951976,0.7878073642574449,0.7537973022146356,0.7498293854593331,1.355004104634457,0.8832748599493752,0.6654342425657873,0.6643221527094147,0.6732398143121566,0.7367871059712143,0.7197726333714443,0.8638883558765857,0.8754888558507955,0.9742572971705199,0.9556647440182625,0.9155978104723005,0.8235458794444479,0.952767587174351,0.91009843206649,0.8286702693177617,0.7832144303196432,0.9502604746090896,0.8058526321008126,0.9238291521205834,0.805442788414855,0.9052132466662932,0.9585605920359352,0.8998325882234591,1.211191919027947,0.9444944106342438,0.9339345324954235,0.9669725469832994,0.8222664593090032,0.6828639235173549,0.6139494148716298,0.6100474976263246,0.5414663654936395,0.538277761929086,0.5614872327630591,0.5786377183259644,0.6435289057236824,0.7070180907827212,0.6330529393732178,0.5867668370190197,0.5484079002948816,0.5065333906036159,0.5137658928796447,0.5963546960900153,0.6468255477404224,0.6812756739609115,0.7440392667096264,0.7828684036587704,0.7811215626918384,0.8884948143506864,0.7793313892092012,0.8895133999062447,0.737416487167622,0.7068215644326775,0.7735634481203921,0.6457894340063624,0.6370336154296998,0.5749952452774992,0.6970367803708644,0.6732451970787314,0.6154629359115681,0.5684604883199659,0.5805905314328254,0.6011764224221353,0.5561997331823363,0.5836317793700396,0.627743444846753,0.6147030401531909,0.7652237247744588,0.7259768971318494,1.159094459683313,1.4064148854856986,0.9999575761996982,0.888717310384795,0.7550872917397805,0.774566870240156,0.6933075419606478,0.7515457545509888,0.6630303716993803,0.6028900185129857,0.5797713815945426,0.574786003391565,0.6666931467716766,0.6461597198043689,0.673519808485207,0.7723937589674866,0.9290038469911013,0.8296272568320302,0.7252426626631007,0.6136937776780131,0.6561092472078329,0.6979698223290901,0.656635476257522,0.7102183933950946,0.688933245420114,0.9601243038820036,0.7009686812568939,0.7791877250693505,0.7345902229098856,0.7834428837871917,0.8074061783235447,0.7822025787066461,0.7026082139735036,0.745335844728915,0.8099020562458089,0.9798124284613413,1.394671179554061,0.8469614816203689,1.3003227387960372,1.0536395660799218,0.853297661629776,0.8385201758219081,0.7912120217498819,0.8543152115765225,1.0280034993122804,0.9078647158291339,0.9606884367420412,0.9583215200224398,1.084197659585699,1.128067052509386,1.003458949697678,1.0833187283548322,1.21229699041685,1.1530979168407496,1.1354167132180266,1.226673929089866,1.3802983087836749,1.2258773763127853,1.2900588313737678,1.4657876863321164,1.4338833812341703,1.3661447073720956,1.5223921333476744,1.4213128458120254,1.5501699204960786,1.3662090826659772,1.3792114739809178,1.4973448547237376,1.51854073686635,2.72105469171754,1.6985157495831533,1.8704512906642414,1.5562484308045426,1.5393903501336987,1.4510305277391606,1.4332719298575998,1.425288569169053,1.3248383745643117,1.3635777300003094,1.3056620911302776,1.3649867673943796,1.2306951043019025,1.3699760554701212,1.1890056669698115,1.218902850253587,1.068303661343297,1.094080157298323,1.1232175266657574,1.2063695887238732,1.3809614837150224,1.4594289635760627,1.709625728937913,1.5542228764088273,1.443651970711817,1.47751555022392,1.6093393792502133,1.3837920198542237,1.4294191077677099,1.6528348904993326,1.6865448586174714,1.5017514922810251,1.6271095602038583,1.7686172752046847,1.675256276843812,1.6118309688864685,1.7164326103791367,1.589349029202619,1.5815735589064082,1.4916780121236477,1.5001291262380982,1.5189920191235138,1.392867369854575,1.3557465092174843,1.4022420038076233,1.3871502333309946,1.2640588348916078,1.3382518515345083,1.42393853352744,1.3391678276757146,1.256142674456588,1.346002156921558,1.398809851423851,1.423987620595515,1.3851124484282655,1.4298643064920162,1.34334470906628,1.604366879461166,1.2575031169274957,1.189587857845871,1.146820650512261,1.2326414690670993,1.1861694834689462,1.2025168795170842,1.1769487128790115,1.136363053100592,0.9182204799915856,0.9152506048979324,0.895488152600843,0.9331164215026846,1.0472384915721415,1.421702627385158,1.6381901817432682,0.9397898622453628,1.3161544870641502,1.2311908242699607,0.9500212521385709,1.0626059564784796,1.5090623201648627,1.4775293729911818,1.679252262523055,2.7595928239222283,4.383018875800349],[1.5603554133777533,1.1455748762117075,1.0552933576252663,0.8344561981310467,0.8724424294240755,0.7368781588127782,0.7062830827918891,0.8131438765737877,0.6888915200645133,0.658055553110735,0.7031170737019159,0.8491194468645011,0.7578061140865037,0.6681395972170174,0.8829107156687088,0.863787609435819,0.8013081843439225,0.8444123738377016,0.8137839706803592,0.8386404103265613,0.8379409435995471,0.9483974477461389,0.8679923260645319,0.9693708200611694,0.797252673712565,0.8044325135710783,0.7297293860076904,0.7260379529147399,0.8034686666928644,0.8527613392433147,0.9464781664184669,0.9774273774944068,1.0930298005262602,1.1091108239709484,1.0066430508284359,0.8914229517269657,0.9138488207164639,0.8179721763051548,0.7792413659732806,0.829534749077035,0.9355404573453291,0.8385724201113424,0.8397019059718973,1.1005121536640559,0.9991919367390346,1.3235879680705849,1.1418528213168528,1.2082939222751523,2.523787739566607,2.3405828689497157,1.629679835447303,2.1911697455457984,1.6265004777141745,1.4743115506090079,2.0616133517777953,1.5341845706149928,1.4751745219218388,1.0199646935670197,1.4825227822319118,1.1750349777208382,0.9400543662018499,0.9912510621615582,0.9768243827026223,1.0979421676959098,0.9224161878376717,0.906457515979778,1.0396507508092054,0.9624688959753548,0.9998079449642124,0.9651337730458648,1.2076355965921333,1.6300031700022477,1.1136482383834054,1.0975454524283466,1.0213696186085441,1.3955574392057675,1.0013186319085527,1.0828563641856512,1.0139392045477236,0.9965459324873343,0.9799835960488243,0.9714586092137952,1.5110666034760893,1.0899621143851579,0.8966928630857954,0.9058614375349935,0.8885612597023884,0.9881556181591503,0.9175712896357594,1.0837135098084527,1.0569821741098806,1.1416741862208593,1.10802541559335,1.1061903003206182,1.02397343061203,1.1526655627642401,1.0894769211601882,1.0459394181791792,1.0153132314666553,1.1464640707543121,1.0373722925768862,1.1260683580474875,1.0172321883355246,1.0819297594688795,1.1076897230667366,1.0533727633164038,1.3319016945401094,1.1179423570740792,1.0991541656359887,1.0888675026400594,0.9765595844374971,0.8582147372501773,0.7748954696076805,0.7472546728854063,0.6775979007911967,0.6337534246138267,0.7160496783241951,0.6327019082302018,0.7095030470525543,0.8055175137291137,0.6763449026568035,0.6630416599475165,0.5907295853518633,0.5993565590342381,0.6172274170078393,0.7407831356160482,0.8125778700532448,0.8419066050172852,0.9091248677256945,0.9541976339303326,0.9531142531639349,1.0602098522111298,0.9582586490929914,1.0526626871176739,0.9270805455188242,0.8888011273943367,0.9477797644043943,0.7957161384390606,0.7834678744863954,0.7031681479945622,0.7539016952699493,0.7237893776069265,0.6606158965906503,0.6748058106457181,0.7334597649522123,0.7667831494533968,0.7118050850635518,0.7664473195942901,0.8025343471975416,0.78208314818525,0.9354790084467107,0.8914738167835802,1.3370075608158496,1.43712309308906,1.1330604328386742,1.0834624187095274,0.9705977475349052,0.972525542502311,0.8956938502456628,0.934838609813017,0.8385667052705191,0.7927051665653418,0.769787542497117,0.7767892821924711,0.8603996055552264,0.8257113390748034,0.8384282962686906,0.9183121990731519,1.0819408842704745,0.957161825879006,0.8858217140629369,0.7869002741772799,0.8403224866000142,0.8828069941062142,0.8520672592764992,0.919336420618943,0.8842154102880987,1.1282787379576285,0.9173230720708819,0.9532448945140902,0.9208895366513938,0.9724607340022897,1.0033742354107575,0.9762302081063037,0.885512330102468,0.8865543231877673,0.9688393418403519,1.0508390446050813,1.515927671274073,0.9966889540843111,1.3031606333866195,1.1382284034417522,1.0320472349660728,1.0073228170967305,0.9577784959445689,1.0167642845860916,1.201179251795118,1.0982154533575246,1.132135171425599,1.121170988214315,1.249695759088738,1.2813065874434948,1.1524785090302545,1.2356038042208761,1.3601267105364463,1.292764993387763,1.2596892784666702,1.3657600291220917,1.50766932896601,1.3506107612851455,1.4176662172941272,1.5957481099942443,1.5411882940175918,1.4846921312948071,1.6503800252852971,1.5510547716336232,1.6879344740047124,1.50357099703073,1.5189566523895597,1.6338416415074688,1.672818454857671,2.8205158533361363,1.8313578990265325,1.9933276983063943,1.6691956216392623,1.6643432075792122,1.598123245442813,1.5713237598099572,1.5871423577414516,1.4859711113329723,1.5222088731037444,1.472147405509063,1.5240722258939623,1.4008030513396623,1.5266516914475075,1.3757486232945955,1.3760922105905493,1.2320959461755079,1.270765614129985,1.2853398110065284,1.3620769833389756,1.5264541444574626,1.5773290030305886,1.8293683838669732,1.6752757550578252,1.5699446903781895,1.5848022302849116,1.685443897416287,1.4930101635209327,1.545731166062741,1.7415247791964126,1.7685073072179196,1.5991119246106,1.7297737621168805,1.8605866915524993,1.7691560021579484,1.7180539520394726,1.8161139386011653,1.7096667341794989,1.7022660254759903,1.6192754853682467,1.6346646259305233,1.6569789853892465,1.5371636483819222,1.5052474390586243,1.5474146082042317,1.5290004263229362,1.418144425998274,1.4970479732910122,1.575135399327479,1.4779268767463303,1.397292431495498,1.4873266758186212,1.522801046871795,1.5334713916605676,1.4990789666269604,1.5617230342131565,1.4714831091530163,1.726625332457487,1.3879049282429075,1.3165602134343735,1.2624669741594967,1.3373959643301172,1.2917102566012448,1.2933011025871994,1.274422837122943,1.2662176895773187,1.0611369982456045,1.0787223658591822,1.033987562477885,1.0716784440799514,1.183986299494332,1.50456615776445,1.6141001112731572,1.063895940200913,1.3772927404909339,1.2697090760581604,1.0458148471774613,1.1386459188019775,1.5029529608010805,1.458208037850005,1.8315880383599665,2.9331042570234964,4.6986041009834185],[1.6213370049711309,1.0608134547839931,0.9528854559279393,0.7930400262960244,0.8404964650559111,0.6869497170544842,0.6291915330741096,0.7436005119849266,0.5632200478450633,0.4973184826179589,0.4976568080094859,0.623723117398889,0.541382755386861,0.4663528997133161,0.6284164791647924,0.5843234718734084,0.5821519134543701,0.5916152819796213,0.6069537843999224,0.6068918071553038,0.5951972002080148,0.7331685648962004,0.665930509162848,0.8260844065322785,0.6218099732934691,0.6274045135056494,0.5641218765297908,0.5303070300139993,0.5435655955125893,0.5946995262703026,0.6315983873999714,0.6761803271891382,0.7727913185110384,0.7507135597706301,0.6984115825746249,0.610437361385756,0.6392399862552357,0.5549030711905425,0.5732255355757073,0.607976294446561,0.7953078941857973,0.6321431785653253,0.5940253623082976,0.868419203842469,0.7850965648951745,1.187642569804988,0.9944966226314421,0.9898921314447119,2.4132924164558767,2.226511783937676,1.4429872652538858,2.1110645926920673,1.4509567184411716,1.292578364265166,1.8118752044226683,1.2538616110124048,1.367197803743464,0.7400537893047197,1.1713047825687044,0.9844979337025693,0.7748204498938898,0.7530097643174753,0.7113917257609556,0.915248895482249,0.650019468697713,0.6421393317643417,0.8581599818117946,0.7278805805360833,0.8071875683392549,0.7378578899593148,1.042481782640575,1.4607564188569158,0.9516220159545568,0.9437450183039976,0.7340002744303943,1.1695125314096404,0.680683333928687,0.7478257408517872,0.6971148453307842,0.6702084669135335,0.6862808673234283,0.6904640596137829,1.3651329553716576,0.8775804868583039,0.6903535589172082,0.6124094971115615,0.5863473373729616,0.7126314303460878,0.6328360199743139,0.7723444052233094,0.7169519373331037,0.811644620116622,0.7800518557889826,0.766598324122098,0.697937011183474,0.7988006814980578,0.7978921844980085,0.7339264567913638,0.7265842369874549,0.9390160574603984,0.7769818726478368,0.9375155454676359,0.8004613959369843,0.9152972480172157,0.9451812965182961,0.9245155022988859,1.2272435187460249,0.9653937247558012,0.9501322417892559,0.9683398403284598,0.857663868966986,0.7429900878224235,0.6729942137191088,0.6697876231521964,0.5514559697074153,0.5295966141572493,0.5532518057945989,0.506288458745608,0.5713324120641999,0.6571919806548467,0.5207227860889384,0.4953330218956313,0.5266627884326937,0.5265983144843162,0.5674148558092396,0.6714824697108454,0.715303515657858,0.7364194876284685,0.8061589491965124,0.8443789353763763,0.8491720882370561,0.9401145158849175,0.8482382288084653,0.9312262969862356,0.8252091372324043,0.8071074635400188,0.879668547353287,0.6947260527247973,0.6680682786965835,0.6001116832688745,0.653895169732369,0.611137689640813,0.5210123567050828,0.5481088977139925,0.5787480826159147,0.596591701376977,0.5570051640090381,0.5867830308015046,0.6451456612827562,0.6404742641665181,0.7700981029072008,0.717913483720458,1.1281233801824777,1.4009775747020095,1.0254240065974762,0.8526070942951386,0.7379626059327115,0.7649843293869882,0.6773344969786087,0.7812965481249847,0.6989226795053368,0.6234984704617864,0.622385695348292,0.5900558702938629,0.7435268374161211,0.7147720881077458,0.7780842802972456,0.8885157332730166,1.0491290963770343,0.9336370553782429,0.8316378277025215,0.6914308236741623,0.7372568445185201,0.7367811890349895,0.6842624352458223,0.7279264107095113,0.6662811434381151,0.9570745381513219,0.7217818829720971,0.8058577585118217,0.7691017196628634,0.8006818441653439,0.8506744788147899,0.8225198959108887,0.7427811239806996,0.7238874080081029,0.7734433544832091,0.905860923203753,1.4334578634616122,0.9316287474298611,1.2104328210653714,1.1251783329613523,0.9671493571833903,0.9372494802871545,0.8519257442025987,0.9188499795212693,1.0761449351631447,0.9436149466219818,0.9846976505790281,0.9716817897689435,1.0649290577332786,1.1097739182531496,1.0066614052350487,1.061048684724984,1.1626816253007073,1.116682677848193,1.0914201425520407,1.1639463736297586,1.2894076603948028,1.1696647055016556,1.2257974547652553,1.3619945709054273,1.3516675804519838,1.3041631250804977,1.425007758293077,1.3491561585739218,1.458894383364641,1.286947013822518,1.2946532335235377,1.375784492594551,1.4086106980915778,2.499585539481609,1.5729639347818603,1.828816699322148,1.4316763672428143,1.41627331991429,1.3641154981750871,1.3264686426284433,1.3384915522621859,1.2448412850288213,1.294776164938225,1.2343282638432953,1.293881918130887,1.1927187077810488,1.32500954741353,1.1549624347280343,1.2127252228758043,1.1000435827602784,1.0893180949233472,1.0969319351536588,1.1683371065133796,1.3265701679353317,1.3982386179111548,1.614758579983868,1.4968415782358282,1.404524045884149,1.3755572911781229,1.5025469028701584,1.3084481602627767,1.352065895582864,1.545024908845938,1.603416290749875,1.426131387953191,1.4886436021138498,1.6094810021675703,1.5665361757586755,1.4783357339268028,1.550688617731006,1.4450552254684075,1.4274598588324992,1.3659134586986281,1.3623933601959153,1.3777082258980349,1.2983245305526316,1.274191722883234,1.3048642526876282,1.304441922620493,1.2115301517250903,1.2633957112995036,1.3744004107292163,1.2906291810139356,1.2257702050281873,1.303101707059266,1.341498472264968,1.3794479721475095,1.3618039911043613,1.4041942169764674,1.3120662754912595,1.5603271699652295,1.2250624343343728,1.163866806943228,1.1285833029474517,1.2080076739589376,1.1821639766160468,1.200025773536755,1.182230711870771,1.1248561635688177,0.9292906542462024,0.9478034289878734,0.9651681221258673,0.9816801608246485,1.104743152238273,1.4511584840219431,1.6837442493682993,0.9864579597145846,1.3244320324654872,1.2011370558085188,0.92147964319551,1.121911250444758,1.5124492066108641,1.4993971060909055,1.75836773498816,3.0038536794285737,4.509354025405354],[1.494286614868823,0.8724042371954702,0.7832757048026374,0.5837871313180955,0.6195288560760399,0.5226071989452942,0.5005478049005344,0.6445669935512385,0.48526852542081933,0.44507558434626526,0.48135260163178506,0.6136236434680372,0.5157003353312373,0.44778445933058586,0.6365975774107292,0.5830671752959874,0.5815389229619525,0.5986929118343389,0.6146777288268065,0.6090470867981157,0.5982266471795743,0.7359615653662475,0.6579280177386622,0.8099731476315587,0.610644750641681,0.6259707212535153,0.5378754248664362,0.5086865753128698,0.5355675547783328,0.5789520165739587,0.6356316307951848,0.6690142600266746,0.7709380868291493,0.752474884274833,0.6904513503917996,0.6065507021515423,0.6218693954838774,0.5409735605775582,0.536279641153691,0.5649496204567932,0.7613276998553891,0.6308827073901994,0.5962862011986187,0.877631488500754,0.8031885094623076,1.1872496249764837,0.9808183608881363,0.9877678936086174,2.3959143281630153,2.185359656539172,1.4391667981824008,2.0590341862767194,1.437592050931995,1.2730551444840927,1.8256227839114492,1.2641435797933116,1.3576835744821278,0.7393515595749088,1.190216125231699,0.9919014517042672,0.7595284983481712,0.7575147245795917,0.7126781117645173,0.9081937778310062,0.6619608740031884,0.650029822955183,0.8607234833052525,0.7347331428685115,0.821382054808057,0.7528493989342133,1.0533049123783529,1.4699751321964067,0.9625829127035058,0.9435312498076386,0.7414857817917293,1.1669897174967152,0.6869082902053726,0.739780126268581,0.6923597130221208,0.6645353769840056,0.6764957735006619,0.6817932877585352,1.3491445078522237,0.8375979485264083,0.6378911776287891,0.593846108001233,0.5837298955012921,0.6939060790761636,0.6290905248266465,0.7662632046692266,0.7191436017306901,0.8111765625348791,0.7771342464890566,0.7638207846794287,0.7036062589467305,0.8040815324385971,0.8002755295193311,0.7347561648756846,0.7221705241418247,0.9387769392054272,0.7530451640612491,0.8939822726018289,0.7539337950260872,0.8483539430488702,0.8641665798558815,0.8267450677980382,1.112885633111272,0.8262601655055595,0.811396742508493,0.8538693569796962,0.7232417290640121,0.6300403772756156,0.5636027545126314,0.5592312290890455,0.4854811475838234,0.4533049938220816,0.5046577675120771,0.46323603340444425,0.5342750442704924,0.6211270803375633,0.4925572537422824,0.4600001332402772,0.44990372535499185,0.43709525394750354,0.4543902062103627,0.5481778154262485,0.5894854771419707,0.624859443295564,0.6549813310514768,0.7025763324499221,0.6766109174403547,0.7672087909944904,0.685903887522776,0.8036898233821996,0.6939729767667691,0.6915440667264734,0.7432420442301494,0.5735945333511917,0.5710577853715115,0.5145825388900401,0.5924161437257283,0.5506690175990925,0.48584365062139023,0.4856648879358481,0.5296126218930496,0.5546570752901915,0.500231003516226,0.5381024692577964,0.5710574641228057,0.5691630182735254,0.699870671382536,0.6621689402475324,1.1016682620981264,1.44579110697145,1.0432002560361995,0.8234167548633035,0.7033860284897165,0.7052226570159342,0.630070061159619,0.7076200263786662,0.6146823653458903,0.5626990628097162,0.5564425786678864,0.5269109900728124,0.6647204132907667,0.6393577959115943,0.6474838932184765,0.7406568938881781,0.9059439728507618,0.7994192564510711,0.7005338650372392,0.5826588000776701,0.6351076365241731,0.6490728477356745,0.6043405575044962,0.6602209126596653,0.6257015587213488,0.9286704106000337,0.6667004426226668,0.7399082780472175,0.6804786721425334,0.7038263220427101,0.7333718000795656,0.6988415625004293,0.6292119342006961,0.6575827305613585,0.7474307906194473,0.9047705464784203,1.425848395720414,0.8479238736491237,1.2123269578977798,1.042715713568239,0.848394526928706,0.8015239596733984,0.6904287551740935,0.7450375528961426,0.9668372740034328,0.7616089971776547,0.7894137957437486,0.7907248302597757,0.8725201600902471,0.9292985992731733,0.8235289779496575,0.8717161950847433,0.9733276487723551,0.9404694528165384,0.9587401850652792,0.9780873629908028,1.1170997818519746,1.0074838997440554,1.0562170623443152,1.1885998667157227,1.199431182142141,1.163337268058857,1.2576086216162483,1.1808526176020935,1.29858968745989,1.1189521142150578,1.1154977670289814,1.1845284663316324,1.2219533255538575,2.4956123091742275,1.3837374444994939,1.638963778301789,1.2486614910369467,1.2369239946095372,1.187251281082843,1.147004659641288,1.1452325688716216,1.0373821104709464,1.1071184773226563,1.028052392469596,1.0812007783204474,0.9740819237649678,1.1467158635832242,0.963373650290131,1.030454808043366,0.9556110811133237,0.8909319981537865,0.9274116047810937,0.993982769959854,1.1617012962292625,1.2727322753365367,1.4787345298093435,1.3883132216083558,1.279325481599896,1.2437738102344607,1.4110673611427629,1.1984120131537446,1.2118649052121382,1.4244605454882904,1.490422653156419,1.2783070364907227,1.3356436592598646,1.4729941026115205,1.4146983531905106,1.3252995026635914,1.389653741971967,1.2751737909361285,1.2556594138607955,1.1973281819173736,1.1850256105386379,1.1812095948339767,1.1017475384937487,1.0757622140095207,1.092922962604586,1.0936679303979089,1.006895121175894,1.0483941356773927,1.167398903370966,1.1203260145731366,1.0420667895107427,1.1143087666978175,1.182386440936808,1.2602199136116912,1.231010883924162,1.2393100068431548,1.199456384493566,1.4012299297745137,1.1022002229920995,1.0155440810238392,0.9997906390718231,1.1190485097670508,1.0881200407893494,1.0945952337924278,1.0810174429066015,0.9891117594279656,0.7797394667907523,0.7728003213181746,0.7967350624443721,0.7926282621620054,0.943833873242171,1.3389558970356104,1.6259917564851534,0.8398665421595165,1.2394247633966151,1.2034507761354485,0.8672578845930524,0.975781679375311,1.4979463582613124,1.4964996232581074,1.4660541583375344,2.577228657376541,3.89207579722753],[1.5400245010504499,0.7739534568534034,0.6340851735211447,0.44956222830427084,0.49171829312627086,0.4096726724269703,0.364399468985487,0.5010978399114687,0.39052061256703524,0.36575412453910616,0.4245275426112311,0.5316374264167306,0.4274954075760484,0.3775007735435272,0.5503983297421793,0.49982211102165214,0.48908832616406384,0.5259642729045874,0.5514994195740928,0.5262705111284511,0.5286423440880587,0.656009575795625,0.6013197880713977,0.7530264829858679,0.5570189500375902,0.5660111485175502,0.4603104085298384,0.43236236889323415,0.45092778183349,0.4777324791806343,0.5586846317191541,0.5784645183810188,0.6696946541505708,0.6408960965500244,0.5830902382970404,0.5095822238396875,0.4992410320421948,0.4324043603607718,0.41541492142764985,0.42092873029772504,0.6915016122452993,0.5582084968434816,0.5326072801548994,0.7204889030543273,0.79546088847361,1.0438890931234774,0.8498418781239274,0.7818444817339499,2.1636317798360793,1.9579422766294663,1.1875998753231862,1.859082694610647,1.28398111672148,1.0921069049378,1.6899611130498753,1.0972281545863274,1.2531185322339697,0.6550001885143878,1.100728110852016,0.9949856284002321,0.7906362060543487,0.6972347496029482,0.6231244440156407,0.8384918200031618,0.5997848030018611,0.6025290920009693,0.7895985044573306,0.6490296857001837,0.7693213153118623,0.6839758937550521,0.9929365622942692,1.3625619905346602,0.8837338571180466,0.8857921178192311,0.6443106352082133,1.1359625891744003,0.5858967845741438,0.6240141886810631,0.5767767513159062,0.5525187245144301,0.5484504960639794,0.5695801959813385,1.2553080116438207,0.654119862190117,0.5212761208113518,0.47732927295551164,0.4774961846919392,0.5837607933415695,0.5297721099978281,0.6651407210340788,0.6087925803767847,0.707261493436257,0.679350695250861,0.6676808470526785,0.6235499720365942,0.7216799132971442,0.7181098310001569,0.649292263535916,0.625540478335347,0.8622671775914583,0.63960488404783,0.802567276069819,0.6083391729859778,0.6873668625681382,0.6910555394648964,0.6682363016315306,0.9283421313711523,0.6293864530193404,0.6208678835344611,0.7504442788806094,0.5542310173492444,0.48093963858736016,0.41728316557521966,0.42856183838423767,0.40200322531736604,0.3861864361413807,0.4383515937883602,0.4079903829780252,0.5048548675653316,0.5808456432319626,0.4625635968640553,0.4148905056033181,0.4245367838426519,0.3711057073554868,0.36855825228792527,0.4325607919649588,0.44300784900977247,0.48032632575406276,0.4750862027689362,0.5335756303048718,0.5049288507099217,0.593194622233044,0.5122387473554398,0.6352631272677698,0.5364297415039916,0.5751123755801624,0.606283011141311,0.4517301974579859,0.48652136000656143,0.4228243237142081,0.574930924209405,0.5252621912694566,0.4298906825827865,0.3890852389145873,0.4306211673623699,0.4487476700144346,0.39634746688094863,0.4297888605523121,0.43690615997791593,0.45342816627500954,0.5595322381962992,0.5484519732802161,1.0452324763948564,1.5455016012219742,1.076951513951848,0.7005007084600489,0.5784253857709618,0.5661231104601658,0.5052477488530676,0.5531083154809088,0.46364491742357616,0.44447501000712375,0.4440544589228467,0.4229164817651302,0.5618821912605722,0.53555462629155,0.5204862908577235,0.6542321959800997,0.8327562752659905,0.7233028935465288,0.5836269732665403,0.45666715973629685,0.4806472290953604,0.49349266042595735,0.4592068328666211,0.5057907221558482,0.5120025943274585,0.8063951555115274,0.5199493691437558,0.5953861878279098,0.515826159656735,0.5285405490551346,0.5517900230223628,0.5273826415021434,0.49273051789484806,0.5554055651441303,0.6647039621235403,0.8728146988625763,1.397373394536216,0.7856749263295659,1.1253173658222215,1.0080008054669798,0.7722285748747335,0.6868952458238179,0.5342375452363524,0.6388415156314795,0.8405510274669391,0.5819218335331167,0.612820285795641,0.6061837131132387,0.6927892525368791,0.7610137190077213,0.6538424799271759,0.7073119902020224,0.8198145139991482,0.803907940574609,0.8239470313540932,0.8291979169820998,0.9812111695148741,0.8787141094146967,0.9125860487975584,1.0435470729764063,1.0965198718737512,1.0172834719616386,1.1166006888769358,1.0493694118013313,1.198279824650881,1.0063015363887686,0.97198682363636,1.0441831619411042,1.0671743558758933,2.182844744836475,1.1758222955976192,1.5716821622822934,1.0811328343572952,1.0587708653422614,1.0153428010590497,0.9587826047712942,1.022747661881767,0.8407848764500445,0.8919235130998305,0.8228172117436632,0.8791731442837323,0.7572392883892544,0.9382462200717872,0.814248900346294,0.9015375149413994,0.8637397818222995,0.7134379930450574,0.74800575416074,0.8028105815975874,0.9698688484560367,1.1090375813173952,1.3176706728377199,1.2534896095402575,1.1292721235581957,1.0815420312676876,1.2526029128157776,1.0762764490916303,1.0710712777783806,1.2827061547694427,1.3712026446051218,1.1467827613561032,1.1890423533258625,1.3571152998386555,1.3304477199642726,1.2076203502601064,1.2594756974987902,1.1305068412861772,1.1035049569990574,1.0282154437077118,1.0141389377795433,1.0244663093745026,0.9511064121148038,0.9220943975503338,0.9358538533961565,0.9534160970539689,0.857495967536327,0.8889753070371619,1.0868901395345054,1.0097071665843693,0.9193159755749996,1.0118219775955528,1.0918943721411707,1.168841598187179,1.1443452004862429,1.1543901121969824,1.1248021994341744,1.3255827715541486,1.0048786305654311,0.9119286446232004,0.8926611853467985,1.0325723180614736,1.014804853100908,1.0407189964253236,1.053607848039653,0.8963396415273719,0.6444487303047497,0.6021668555150492,0.6111040577175819,0.6376407041856175,0.7825411601248995,1.174579669648882,1.5741184242005626,0.7113018029364012,1.1173485695903196,1.145590789591355,0.7575592420967563,0.8792008546682115,1.4024628708437512,1.4886164649712892,1.2842173353945332,2.3924832065873836,3.3443843390484997],[1.4048551182485558,0.6424132846970123,0.5469482279644332,0.3894481040055696,0.4092607157694319,0.3407740632512822,0.2947784675745041,0.40550505742753495,0.31487516720138303,0.30796445070268214,0.3489836939627873,0.4369472422980224,0.3445146869916586,0.34185839678675367,0.4970482562785657,0.42741361122891963,0.44201885331087226,0.4887133814127227,0.5290577015453515,0.4935693929992409,0.5022052908402126,0.6408408373306896,0.5860219307582396,0.7504558610334694,0.5472471505627567,0.5553971991618916,0.4377910885079926,0.3999405374917574,0.39403251373661446,0.40902640845124816,0.49741928035935895,0.4853771106701673,0.5798189050491133,0.5366384105958526,0.4866193980797975,0.44664495123897985,0.4137541708687257,0.3710499527815567,0.3485698236840769,0.3586526953198355,0.653421366166084,0.5352143032869681,0.4927626744215515,0.6714447192080629,0.7697826237361797,0.9952115511834332,0.802278060285639,0.7111394247421305,2.1036851173038835,1.871311177581951,1.1211136545233646,1.768888782191833,1.2498033062951222,1.053142493998641,1.6659786781143047,1.0368030230850769,1.2014417890786353,0.6082064184070934,1.076952371594223,0.9750794710695366,0.7556899676875595,0.6518715476230015,0.5641058814298876,0.8092669616461937,0.5597523318899732,0.5564974547112308,0.7421081601125664,0.5982436436906265,0.7325768096770775,0.6449337645905554,0.949771840836381,1.311436608371593,0.8315536888965719,0.8398296525008756,0.590321190578629,1.060437853796608,0.509412250573314,0.5297874924046764,0.48771721405227997,0.4774675142333876,0.46925069418728077,0.5073938577983083,1.2479482608253711,0.5534285880857817,0.47108261638087123,0.41903854339635976,0.4117057980383045,0.5129474205902006,0.44754132776219424,0.5672649690534215,0.5192521300229271,0.6344234702373852,0.5925866152919763,0.5554116873418947,0.5352845015032284,0.6163278520811245,0.6458486589600858,0.5505168996301337,0.5268556078362643,0.7637430472140052,0.5286238168896632,0.701165394180538,0.5089130591313832,0.5847640764023365,0.5936518501758219,0.5774037589104256,0.8122079301060386,0.48961639745161895,0.5041532753583732,0.6211018667971121,0.4330615786992436,0.3711864394631989,0.32731260059799056,0.37810396725096107,0.3670012437506456,0.3620265888521696,0.428416498003838,0.39763358137876426,0.49337148625230254,0.5593933776882557,0.4463243167931113,0.3959964025532376,0.41202400506301345,0.35999155012293266,0.3507636376824109,0.3983061737956944,0.36538733454948435,0.3947797753321584,0.37028338006151207,0.42748772351186715,0.39491655654372293,0.4664819117768208,0.3983487367239596,0.5425022472656043,0.4430074090748145,0.49401995991951553,0.5462907746962272,0.3974835102105466,0.4505383031771647,0.38181589424404244,0.5566690014290278,0.5216837637913808,0.43062630905299787,0.3738576440041372,0.3952912079765079,0.38617086297447556,0.3404509616153994,0.3598600027222958,0.36218017845406275,0.3662298604248964,0.4530536547939875,0.4724541067949085,1.035041544884196,1.6284020456200017,1.1067581312784647,0.6224403582717064,0.4748094295903514,0.46843985264271876,0.41784945536267865,0.47925784784062464,0.3993698440892245,0.36741574538998223,0.38580574315047844,0.35603879250191794,0.4866770745614547,0.5044716836867281,0.46643525307637757,0.5941019603456263,0.7724647241187166,0.6778496054081048,0.5336762199594968,0.3945031976519793,0.40921960675700664,0.4109465904219689,0.3760665902624896,0.4297597468065571,0.4324419429192924,0.7541509623900468,0.43069779755905446,0.5089418400607187,0.4403868924559851,0.436598491236046,0.45325750795821007,0.4249229618082021,0.40254189028161247,0.5210874499667522,0.6532286623734123,0.8742149850648332,1.4224460532082948,0.7920185560892143,1.1410411401093017,1.0170920912829755,0.7365071810499848,0.6365793368288281,0.4459573960786446,0.560522635496294,0.7710334514234967,0.47396614098120676,0.503891761654592,0.49552272928527535,0.5554275851668043,0.6229047921420101,0.5296922590009197,0.5864936375262048,0.6737841320178503,0.6754904063240512,0.7640499637293543,0.6910334171503784,0.8279128154254409,0.7538976560851915,0.7777430679328917,0.8931445906984967,0.9654309177993928,0.915014768453254,0.9692573534701792,0.908682061610867,1.0442828598213567,0.8509800251605638,0.8350799174203712,0.9000616056018891,0.9186122976858698,2.211954146677928,1.0918465607430001,1.3751872393717073,0.95044701212878,0.9119430339795291,0.863718278985657,0.8156958316156311,0.8431254745555985,0.6883113293982127,0.7707339035367348,0.6973204224114445,0.7682378447292393,0.6376830960438635,0.829196693533933,0.7131845596603836,0.8006168146809226,0.8035025932826004,0.5982844270835542,0.6433862604185532,0.6861384111256316,0.8520554238817013,1.0122170709970382,1.1927144567875094,1.1620679597108592,1.0196037023000406,0.9674673796945921,1.1561349075929186,0.9864821124669829,0.9425248588296169,1.1345523439718086,1.2295163320222366,1.008917426546592,1.0291837191507878,1.1953410581205075,1.1907139688706412,1.0425839628977878,1.0781973014844424,0.9513950907548455,0.9263748806175098,0.8650072910690105,0.8444226124046762,0.8351983069616181,0.7727544610134631,0.748093724979251,0.7601257217426658,0.7883856537754845,0.7078269755785886,0.7285171625865501,0.9092763106146106,0.8736998308256954,0.821226105685989,0.9071901917037204,1.0371747682494257,1.1032830677035554,1.054821525494635,1.0686716686737605,1.037928816143605,1.1390395147237293,0.8811381437799469,0.7864966938816542,0.767808528978403,0.9286820861413435,0.9250557774408996,0.9666298041837773,0.9820574142182231,0.8251294905573474,0.5818666477781367,0.5033526251373348,0.5318761539930379,0.5138827882874628,0.6524636112440708,1.0529462006219283,1.5830539088499214,0.6135776731180284,1.0748865499413482,1.2069362433322033,0.781923617137321,0.8378408875313356,1.4129400264067913,1.4106749334468236,0.8526646862964198,1.7847451231527152,2.3553710659171263],[1.4237941255675848,0.6553944043200978,0.5356066430498074,0.3929637862169001,0.40247301355086706,0.36555264010778543,0.29768380003310035,0.3700938497139699,0.28571664821708526,0.27410540105488845,0.3172669334360714,0.38357077935206096,0.2961209864212338,0.3212108267320517,0.46523165433758035,0.3956249310440619,0.42115425810373236,0.4998329262021364,0.577890993819385,0.5043829469017668,0.5407267395798111,0.6491839336565287,0.6596429563411811,0.8483109280428277,0.5985045453096962,0.616080138252425,0.46811970124255997,0.41112939407860427,0.39795702887144446,0.3827278800323618,0.47868050150596925,0.44908820785478865,0.5594233234921235,0.5258885019047096,0.4570993342707582,0.4291391025105811,0.38641857170416977,0.410339925566092,0.388080402927791,0.37795274306225213,0.6340278833130052,0.5708516244755532,0.5450638351003431,0.6288386781256972,0.9045100143948296,0.8982485291912511,0.8213377827907293,0.6388509780367707,1.8946599291046446,1.5850645187677757,1.0513775089162387,1.6239609030649458,1.2184328703024279,1.0529096546645338,1.6841028569632748,0.9721118245161366,1.1659548811309537,0.6584192498685854,1.0508407155445563,0.9462830237512926,0.7876656197394628,0.634838941004401,0.5637582960012083,0.8615249232174139,0.604826846868785,0.5674385715061653,0.7694396388934402,0.6158839354775738,0.8020490255005405,0.6723399297573186,0.9768881155881778,1.3584636195911983,0.8691844743902121,0.9047035349107048,0.6211381283962424,1.1315678388709778,0.5174442593230011,0.5373209791404243,0.4782296410987383,0.48333512236462334,0.46053119073201015,0.5078260482600335,1.2205345019457128,0.5128436491535746,0.48149396407345096,0.4132496393124201,0.41760269062857536,0.48299588124763426,0.4345036289403542,0.5403690432173488,0.5273165623818257,0.6445094489069462,0.6034975371471448,0.5557807368900081,0.5199758169683544,0.61313109740438,0.6023692910340743,0.5264321782807516,0.48175802236595705,0.7686461022980173,0.48115136574816697,0.6291325247460868,0.4362783983960887,0.5222168515117825,0.5338455124082613,0.5251903991461013,0.7191230663993051,0.4240135506095067,0.4523708986575123,0.6051379296576486,0.385816676297838,0.33268185560031777,0.29652736744993535,0.35806156870557865,0.3348205456854091,0.3886342113253545,0.4080928491317349,0.4683123779860011,0.5454504275202141,0.5915281970886694,0.5081279253972463,0.44880601481347915,0.4692335014216876,0.3779129902055743,0.32159548120191395,0.35158337877670937,0.3421073759967481,0.39084323436777973,0.33841024744895504,0.3857558534836103,0.3767490782352136,0.41435999311198884,0.3502423691674953,0.5002520356357791,0.3941621683185891,0.45450115545300085,0.5321769802759023,0.4179627611245213,0.48095032427900364,0.4329088638291767,0.642955015605882,0.6227330817003447,0.5187294649172062,0.4215362684119362,0.39029406531475413,0.3744837883116042,0.3426171678458486,0.3515565114955779,0.34233070057866133,0.35317853673486443,0.4260384383733048,0.46969635814269345,1.0044642356365565,1.7486889986328191,1.2187984101712663,0.5954711002242076,0.40437726101490234,0.4085461843306144,0.35886422280994,0.44298699746758974,0.34331138021317675,0.3471371665016043,0.37267427841849265,0.3455531238054433,0.44007928415701153,0.5026516804447365,0.4323105436728534,0.5766992642330717,0.7249921489407268,0.6508519689935837,0.5049722272833997,0.3924745802670908,0.36616743941814467,0.3694497734467061,0.32644847602677807,0.37752760548186803,0.39092511353574616,0.6986245444777901,0.3827273221810195,0.4819091544606519,0.3860495520113474,0.3867967838483944,0.39357210395923564,0.37060623899571005,0.39416081965368366,0.5466670859326138,0.6806877535409923,0.9933581421987775,1.4196955083715577,0.7692315652325227,1.211797056027573,1.0389774944703947,0.7035831079937556,0.6080325682259187,0.42926119256961126,0.5621570419910429,0.7155484009002748,0.42628497658761444,0.45964089024052357,0.44604319587736796,0.485111411754445,0.5497027949003104,0.4717270455796432,0.5352784806567348,0.5988516309583165,0.6154245472543269,0.7400646708666265,0.6335340519008491,0.7662292254684313,0.7056587950142801,0.7313778251661314,0.8383855247682883,0.9218907888039702,0.8785317053298329,0.9213019118674797,0.861578019836604,1.0063543970135778,0.8297563426026736,0.7804136295197015,0.8447766777062119,0.8621627705317274,2.159851674723854,1.040638957015328,1.3228271889821743,0.9062311960721778,0.8478475030572081,0.797926393446164,0.7439880585885641,0.7703063667681731,0.6159743248457842,0.6966763313924513,0.638145846079773,0.7164096881578688,0.5739878106139538,0.7736183103387295,0.6859317264429917,0.7707908774559649,0.801711841489127,0.5396418262735121,0.5586032602203619,0.6174213920502204,0.7862342249296439,0.9550307170063307,1.1370114054976233,1.117486967529749,0.9627047077442554,0.9282593686111853,1.1395500377400358,0.9509320670231953,0.8924127929254165,1.0927737894929734,1.1887586132374275,0.9636410380065001,0.9841052568929034,1.1635589644017323,1.156835852861595,0.997289064904796,1.0307965566828539,0.8954394206498565,0.86457685765704,0.7981988750200175,0.7758223526371184,0.7640094435253335,0.6982931037034955,0.6684415233493346,0.69436108145104,0.7386950453051446,0.6533691606147674,0.6726764841838366,0.8924487942065765,0.8499005488845773,0.8021926801381454,0.9143227898560548,1.0513151331021817,1.1102754603615337,1.0438627187760319,1.1032849495460832,1.0692579777965279,1.1158516553707922,0.8837403426378443,0.76432538753019,0.7390229126131884,0.9077435872902255,0.921943956098393,0.9933462317672263,1.0171182256808664,0.8048897258644176,0.591070579742298,0.4719319469024627,0.4899789341408443,0.47510887662464946,0.6140621650657176,1.032170984315891,1.6519304300541164,0.6219492557882939,1.0947717453060595,1.2878380033829815,0.8315123016280939,0.8764984465270237,1.4558422209989694,1.4153001165358743,0.7208982163949431,1.6109479033787164,2.264314060739418],[1.3515480203096994,0.6141022646573714,0.4622706909149219,0.3222867013404817,0.3384283545989168,0.32896847032583953,0.2588000049463624,0.31831884317333015,0.28165528332121903,0.2575493949887316,0.2952808585759256,0.37978555731962194,0.29209670247167746,0.32335045722999345,0.43389212914959085,0.38868917555897714,0.4158334248703765,0.5056737984686216,0.5962075215464256,0.5198130324433822,0.5662522442697093,0.6595812266721295,0.698935632981379,0.9048495869495577,0.6374714379915342,0.6421225396274578,0.4941913018515542,0.4145683954688387,0.4001112911699503,0.3851304333035791,0.4942429935723467,0.4506094482243494,0.5661148204894918,0.5324822165647343,0.46153823881398803,0.4474548454089118,0.38194890900734424,0.41583206852842486,0.3973909395521665,0.3890904345183111,0.6127734285539758,0.5942077156937896,0.5704338226627138,0.5824916106506667,1.0463481813233244,0.9713854872962878,0.9970483704759491,0.6370849154227131,1.7154429641692823,1.406248057183779,0.9857042931665437,1.5639752866702399,1.2406604691128154,1.1310133422295148,1.633033724465064,0.8991184985879432,1.17144569511029,0.7231712261059278,1.0249242417553583,1.0315854701816178,0.8761126125239083,0.6497692037351537,0.5659610328546586,0.896430944288618,0.6515878873984352,0.5967524769966406,0.7763912480633725,0.6174294947238324,0.8218287423116014,0.6712205084893517,0.9467958683618938,1.3090593937525459,0.8624819489827478,0.943998968373251,0.6213521794354183,1.1350732537178814,0.5180927383292978,0.5449033352908842,0.49259074312085616,0.4951607461980341,0.47411642566769,0.5053895419509511,1.2296869075635604,0.4844193864649976,0.5011455564862296,0.415426287717217,0.4287501359352567,0.4938838482631008,0.45280671169195613,0.5366126694411235,0.5363706677517524,0.6501718137941586,0.6158557517441499,0.5489459058747447,0.5185752869596553,0.5898231064169576,0.5664119532115669,0.5169546672755497,0.4805095491832552,0.7818654293009522,0.47803426300089696,0.6058870695975913,0.43280172864792793,0.4878193536890567,0.4790995663212917,0.48680802849092236,0.6362987085065905,0.3572551432153616,0.38806139847231674,0.5778221563530125,0.3228876083638273,0.27999815050336574,0.2515548984293371,0.3229520656740915,0.3251476906563833,0.3941905341545704,0.41193875720477874,0.4851384454329757,0.5705744208847621,0.6078253390915711,0.5409593430862148,0.46516022966780873,0.49569695291719124,0.3900331050761679,0.2834059080952513,0.292766948959468,0.2770260830240543,0.32528462378426204,0.2836849723911424,0.3710248213267471,0.3343031344411679,0.3558993371279023,0.3284474657138402,0.44992626980903694,0.38909116011298295,0.4533844353832737,0.501279087725027,0.3731759035958391,0.4429238814062411,0.43098039685811157,0.6726886894137517,0.6981999523813645,0.5666314647675825,0.43207469551845795,0.3896249718780462,0.3703667671395657,0.34298383729914417,0.3346313653782717,0.3239727370970778,0.3505018584960531,0.39850069699754437,0.5115747995111101,0.98253341868562,1.8087767436443274,1.323945559483016,0.6016759855701822,0.4089837386358656,0.40398313240770073,0.3580766485717544,0.41259268756545553,0.3407182093296103,0.37536215511024684,0.3747966876139492,0.3550430865862703,0.43864633333127945,0.4984284789568289,0.45403717965445434,0.576041414681635,0.6999740028551904,0.6448198350387305,0.4907412095822326,0.38748312263236523,0.36178686775177016,0.3695121748439314,0.32072547770548415,0.37618191385856736,0.3917579180746632,0.6706530768589269,0.3871755912406646,0.4366156086096086,0.38871053276663486,0.3658956070282116,0.37332898409210086,0.35632376051141224,0.3993174944867701,0.5741334189411822,0.6940090842081611,1.0465678796052549,1.4286965272851309,0.8125692524600617,1.1929546058489264,1.1552523483370989,0.7924833738304159,0.6606925971888236,0.438126313125407,0.564911429535968,0.6267361491444067,0.3677981665643683,0.39587805766257184,0.376432426527934,0.38995433701518595,0.46749540694737574,0.3947833030299541,0.4483514654728006,0.5092772766699044,0.5464484454693828,0.6667523871066613,0.5468741954624307,0.6900114785236113,0.6357070443171813,0.6328800824560958,0.7442272403467619,0.8617302740482123,0.790565729951154,0.823476356024458,0.7684520078853169,0.9445223470320828,0.7277370740719861,0.6834063308910481,0.7537028644598246,0.7632710754041061,2.01649527369612,0.9583862373506226,1.2669622728615013,0.8295325876268923,0.7596642534160734,0.725594477561424,0.6661861683643568,0.6981014515850702,0.5336930126869531,0.5891245254786488,0.5557002715745643,0.6446686968958077,0.48685576188393176,0.6986260300601758,0.635501471847321,0.7196035112735338,0.776845268486658,0.45885119161776855,0.5031326381708398,0.5391338836431409,0.694579792922369,0.8859103649915,1.0400171226106314,1.0500021928476588,0.8830065954644785,0.868835646071978,1.0912021322513625,0.8921510062171266,0.8248131146780219,1.0210037991902785,1.1292158510937151,0.9013763718028894,0.9106827644675549,1.096690739130693,1.1077718794551397,0.9195480094380246,0.9440709958917252,0.805025780996385,0.7705351932632559,0.7052434829444095,0.6779034206876268,0.6673004435220727,0.6015509864475116,0.5654100141663939,0.5894998944155172,0.6397317069275978,0.567343197179885,0.6029329917924594,0.8385749701582812,0.7781745091046635,0.7368244364639153,0.8848160006098073,1.0380835394396932,1.0563804306429498,0.9627422935267991,1.1056482028709178,1.065489080385634,0.9990628757497776,0.8022218962221159,0.6749795097546322,0.6286427726052518,0.8291799871565412,0.840026142048696,0.9527614992090001,0.9954430877268123,0.7460660414132179,0.5368980569738822,0.3983348696733973,0.42644860495558834,0.4182234807531367,0.5560480164958657,0.961135629305127,1.6922202283332857,0.6188272074292224,1.065672100931777,1.322003573940269,0.8476985369495194,0.866193834310864,1.4224011174890072,1.3777279456235834,0.7275953220236274,1.49960983446411,2.16430406612316],[1.372553210150193,0.6528534991496459,0.5320125063674027,0.36348511933977745,0.3872109787030613,0.4233058643439658,0.3606850913154022,0.39207297804103525,0.3404219117168246,0.29307357619986635,0.3183846809798393,0.4199809352218403,0.32881203745894183,0.36228824877085963,0.49742419299293117,0.4608364331885434,0.4814138568116205,0.581001679130516,0.6935476849397332,0.6138928679321134,0.6746501428439774,0.7431337324174322,0.8095784823816097,1.0335876831035697,0.6965816224285865,0.7211399504294099,0.5540695923814665,0.491983781241903,0.4925992489377083,0.4607366705315308,0.578829914510386,0.5294670384829335,0.6588302684101562,0.6399077657503809,0.5644009680353645,0.5305304594365995,0.4725328092378457,0.4945199829551335,0.4787226217065579,0.45826226751379323,0.6485363676811189,0.647023340495866,0.6361428463396901,0.6418113734106771,1.1231281263361605,0.9550893086235765,1.0473085114297098,0.7118127943552013,1.7343182176591518,1.280123615437486,1.0933032038574668,1.5400718502746662,1.2129254904552327,1.1002958876109867,1.7643690169939172,1.0015793099415193,1.1707803068474907,0.7903790886782239,1.1268976767405428,0.9889202230171492,0.872812515596863,0.7299017838114946,0.6943618294320166,1.049049936532595,0.7488044641542041,0.6786401159612477,0.8844171546156759,0.718187419429013,0.9172556137904104,0.7443378307112525,1.0587117087804092,1.5156961532394595,0.9478131902748187,1.0361600629602383,0.7096765130535888,1.2445366896327468,0.6409745536854411,0.6598292839645356,0.6036581739359467,0.5984421941737862,0.5601511467655194,0.5926144206742072,1.3291259791440215,0.6097849334700186,0.5154009104196865,0.4847232306588182,0.5235768003807801,0.5614569820237301,0.569554446738923,0.638714307830195,0.6295487429221809,0.7336750996949014,0.6959786621283149,0.6539168386585907,0.6044603592358985,0.6808745355154727,0.6362615580455177,0.5861534859587737,0.541130109137702,0.9110794829256602,0.5661588128014273,0.6674005215018519,0.5160511293283848,0.5561159428539099,0.5507669614102524,0.5379916732271299,0.6602207157885406,0.42084220537667266,0.45462196316747777,0.6021093543372903,0.40197115205008094,0.3526666575169274,0.3198547926880081,0.37574886317389783,0.39229119451930555,0.46631408411818603,0.4851207761342359,0.5528442196399275,0.6732953614394137,0.6732932579398755,0.5988964515761925,0.5396283184278952,0.5694241261467965,0.43050042597267724,0.3347546777408625,0.3298481057318936,0.3460220544866595,0.36980808177020674,0.342346099694813,0.4233968083556059,0.35023520851208206,0.3892675262870142,0.3559102306542407,0.516217922221176,0.43505160465959386,0.45697648841676974,0.5101355364237863,0.4010179501527308,0.4851073077109399,0.4640264851648592,0.6967585921414405,0.7516777385720079,0.5966800904935995,0.4879804284509557,0.4409778895400824,0.44820018620923896,0.41341771156550333,0.4094176557083404,0.38853469165939303,0.3698693580463249,0.467706942356373,0.5839369879812306,1.0525185970974755,1.9352019021495845,1.4273912994092561,0.7250290024383669,0.4829490288634116,0.47771716062932895,0.42672686664489173,0.46680839748237707,0.3945995090023698,0.4513772818748106,0.4382377130135087,0.4243740254331847,0.5025603807735288,0.5314406263977529,0.4795419123009212,0.5302367586496359,0.642676591550074,0.6146038847661536,0.4931772414367573,0.40814573730614995,0.40836912890610116,0.40103974984114954,0.3933433573130979,0.4667657014785355,0.4596236742478343,0.7386374786851158,0.4550685577503606,0.57428693343583,0.4242685784675305,0.42303915208013715,0.428780064365824,0.40592867592086207,0.44028325577583843,0.5912549407895218,0.6908301005593561,1.0606795463335574,1.345462990621557,0.751011142233333,1.2816455327110123,1.1496821228537377,0.7804276446067265,0.6577038848411848,0.4430032996175101,0.5167539647248827,0.6723203234642163,0.38711563931391724,0.40424310121966456,0.4360097944528605,0.47433746336454363,0.5743952789093965,0.47402760221148543,0.512236496659563,0.6145984651371934,0.6403818299714549,0.7203397567746211,0.6330723568864753,0.806454420200961,0.7370319074649654,0.7413959630711113,0.8671786890160167,0.9629557113665274,0.9103714160135026,0.9381927030767658,0.853695583787084,1.0479005375141246,0.7855894314553176,0.7608599236975934,0.848015791065652,0.8480227183594192,2.264610614543335,1.070186526434686,1.325521079676541,0.9468428923341736,0.9023707348593473,0.8424557625277328,0.7791352806844337,0.7356783983088975,0.6146018786119088,0.706066141225719,0.6469233524982638,0.6784062239991443,0.5427740743473304,0.7952442766195069,0.5875198038744588,0.6903789548182095,0.710000060353754,0.49089589853712867,0.5487379103482755,0.6541745427397531,0.8372019928981885,1.0399385582016873,1.1865714838185917,1.1908318590699807,1.0316532864814483,1.0167092325007474,1.2754939027900656,1.0253214145186063,0.9504271528278592,1.1720068738149634,1.2519792891855623,1.0144085659241193,1.0516899148762429,1.2241998090380761,1.1976057670538525,1.0458032741394527,1.0795921977246743,0.9482889874559364,0.9188032409488774,0.8507736257250251,0.8333896394068158,0.7966049936592988,0.7155420169778667,0.6753030568506893,0.6768842324202198,0.714532035572127,0.6203428007341921,0.6450375119065386,0.8263217553493369,0.7883564237354697,0.7334666778944909,0.8461377887073777,1.016797380626862,1.0409731121457246,0.9514756414719787,1.065993203220596,1.0790911024367038,1.0064216649325826,0.8222728427259358,0.7090123471312845,0.6962075927117684,0.8457653021473467,0.8444796174644902,0.9282443157937111,0.9591771596643366,0.7389745398148643,0.5696529875568164,0.44074675828641385,0.46799263769850036,0.4878153065670845,0.5985714723212758,1.0303800781815275,1.726572021941197,0.6575024265632111,1.1388324924153543,1.4011635674348342,0.9050793435473151,0.9472029591501109,1.5323378589607666,1.4269378403063044,0.8266298764482681,1.5622917296503818,2.346738393416732],[1.3024119109425245,0.5893742959161054,0.42006851997230427,0.3117219565050493,0.35868056759380484,0.3288140947226261,0.28839733237651105,0.3027606368763949,0.27577817273670463,0.28238436438468084,0.3093298424788709,0.393822182936967,0.33964866485099676,0.38924301300979486,0.4641025647095435,0.4461417049842494,0.48585681852013574,0.6126819015296254,0.7293742916070695,0.6393342676638859,0.7093510407624866,0.7890792023501232,0.8766727573294955,1.0882619186171163,0.7843911160149483,0.7881577907555888,0.6254624530262936,0.5369367540295336,0.5129150860342161,0.4720616718715361,0.5765245815810145,0.49457315641832617,0.6162764830965903,0.6060013244692949,0.5319825430650951,0.5455080360520818,0.46509133803786695,0.5468768380784955,0.5314209122832746,0.5099517637220352,0.7005188329779702,0.7157848521941502,0.7061869692285179,0.6820418390784115,1.3061293290300233,1.1875640862830374,1.3397182457368646,0.8374894078858969,1.5641038875118014,1.2276568332274966,1.0495797270710776,1.483579482050549,1.2686298666848288,1.2409420628758419,1.6841055853095783,0.9328940850439639,1.192830861463357,0.8285524198553234,1.0646274894236005,1.1002363077320152,0.9611665453467407,0.7501785060537893,0.6813036401678546,1.0560068801931162,0.789599434070656,0.6974767335832531,0.8504541448868383,0.7116692312223787,0.9212417962094929,0.7349056203596698,1.00453782588829,1.3849454250555706,0.9144301696599584,1.0509458657555495,0.7038056261371017,1.22296006686866,0.6347548596103758,0.646375267932575,0.5939976627812779,0.6024180324534072,0.5575430214673532,0.6100951000105809,1.2529067362770296,0.5476958295962414,0.6041354280937283,0.5224102840081991,0.5485678202373523,0.5631022155852391,0.5732943961872431,0.6085713552863692,0.6137397040103828,0.7429718044609644,0.6929844520401197,0.622132480950998,0.5815006950459226,0.6477526267579299,0.5886891932185674,0.5488974202705077,0.5006790583382845,0.8332752674510638,0.49340389919097527,0.5857255659193534,0.44511869955982947,0.5112954987828826,0.48846569423029834,0.4788679912174511,0.5604910133009567,0.3721006673352617,0.37907361578485355,0.5679472776056322,0.3206442460930636,0.3161673848862641,0.2976704712311425,0.3770196384642987,0.4055346147329654,0.512457467736239,0.5292309014111222,0.6148141679841074,0.6966906602960489,0.7153416853487313,0.6584904501900017,0.5795240081524261,0.6175042308082187,0.4786520437460345,0.3528256429473864,0.3543115339004937,0.3107876284631024,0.34956700748972225,0.331178844132002,0.4119403362536013,0.3589111671957552,0.36718596907102763,0.3749773557141362,0.4474428614492172,0.44622887389684923,0.4828797290639774,0.5145518286100441,0.41871631873789994,0.4947863211266147,0.5226826166748566,0.7773830739695784,0.8787735897595002,0.7006381464787785,0.5521102402442241,0.5062547593459993,0.46991891976379035,0.43891662563969763,0.3992048279278772,0.3577354926977221,0.3656970226000179,0.43665540495967486,0.564956580967463,0.9817829080907973,1.876202156580419,1.4317441152829198,0.6414313883746507,0.41694364265469763,0.4147029871130454,0.39471864425959347,0.43711027206906244,0.405533519912497,0.4635902578143844,0.44604791863380117,0.44025206792626864,0.5044630393914912,0.587917317695635,0.5158856152578202,0.6318233195456973,0.7025898364860762,0.6686481668449218,0.5200048656899223,0.4487963360990248,0.4208314696123236,0.39317349681476604,0.38376773533115244,0.43930170183771344,0.4450063143096928,0.6719961110449075,0.446052946662371,0.4956894846725705,0.43300690394075153,0.39825590564421315,0.42484371457920234,0.42531624263289963,0.46948435216421885,0.64785413754614,0.7684981543510574,1.1560880204175634,1.433187751615007,0.870191384351166,1.220367695024401,1.2909823578563024,0.8353972866227111,0.7056069289979686,0.5171916652740056,0.616904998665603,0.6193162113201014,0.4026324137984678,0.41382835008943714,0.3844998296631165,0.38354654685738004,0.4683165892438628,0.39142740400996556,0.44930743406141277,0.5009033645690599,0.5450712640211959,0.6730992581683257,0.5472565320478603,0.6793964302286135,0.6334631608949967,0.6305922640109326,0.740421613470825,0.8590309181916358,0.8034774658617279,0.8273398980279653,0.7788905675185382,0.93506563085038,0.733849604971141,0.6878457970108548,0.7559970211166823,0.7526396282811073,2.016413263403615,0.9600415014235045,1.2264784543475966,0.8266536591848394,0.750005257782099,0.7015663342765276,0.6491022103969207,0.7003640754088428,0.5394864176689653,0.558287626588662,0.5518105533613494,0.6439327597425473,0.47341180130683935,0.7116643254108539,0.6538665322848348,0.7374277078803422,0.8087712624906438,0.4571242437819187,0.4923240916298726,0.5344344831735856,0.6616496175306124,0.8603803101474397,1.0164013869565138,1.0296242199636276,0.8605867626171786,0.8643745119194373,1.114909084050676,0.8923634355068161,0.8185369542396593,1.0237461254369742,1.1278125075801175,0.8910015983672035,0.9073523660847356,1.0929601236236912,1.1058834885752022,0.9085879374973901,0.9336976615737743,0.8015853394191674,0.757857455331048,0.6929793838035511,0.6690263282802396,0.6653502884966929,0.6030583113194645,0.5689017875199242,0.5924512681690056,0.6459646166019205,0.5739800933934459,0.6117652352175729,0.8517326009199042,0.7825844337211626,0.7462963653990455,0.9042674406931163,1.055644752891767,1.0538605173385165,0.947960306147947,1.1403383064757369,1.0812207448788118,0.9798467699491139,0.8013699503747721,0.6670245359751072,0.6180961512620696,0.8129588710498901,0.8236057013666016,0.9632420854346861,0.9925660244518258,0.7403421878652384,0.540779071243375,0.40861339615808656,0.4418236461550419,0.41264355927850144,0.5076979887330287,0.9157138585345785,1.6890482597536418,0.6134009656680615,1.0426560348603204,1.3306785939423438,0.8695021292231675,0.8840868230959278,1.4071125881290387,1.3431264295826293,0.7497868663590884,1.5037331180473215,2.268425619160187],[1.3327775410067904,0.6193573478968077,0.4776062380071042,0.35038068805944367,0.4009837041346519,0.40933071760337764,0.3786446253154204,0.3827741778388884,0.370385054611401,0.3571686001642645,0.4188502144121109,0.5483773251740739,0.44404496317067493,0.44903698450818297,0.5555957583297815,0.5523480427002668,0.5441160611492808,0.6783980999013873,0.8320781575928674,0.7469439389150438,0.8279244714029356,0.8595921487010366,0.9853139410594183,1.2084274470232164,0.8796076403276746,0.8841045838454974,0.7089618535750924,0.6029352790821729,0.5904530136438372,0.5625673676749204,0.7042303068520357,0.626419800802847,0.7771426587123845,0.7754431303730399,0.6765990684488854,0.6666346744584123,0.5849222568266661,0.6523056197179162,0.6406087934803696,0.6132950937670641,0.7632613922364785,0.819524870839824,0.8012397587901186,0.7864930468218427,1.5174267845888403,1.4071861413001305,1.603104551922644,0.9967846213285964,1.5039424834914537,1.1600200425899023,1.1587677324004966,1.5001823723880998,1.2780235019746076,1.2929453658146173,1.756935012928456,0.998310529717667,1.2501182681808054,0.9564210957931137,1.157913722567961,1.18868927106109,1.081198589320002,0.8350064073370735,0.7760322305645833,1.1990128188363964,0.9298193251150573,0.8320549203414096,0.967822688167522,0.817253819256012,1.0320983263350914,0.8289988531886198,1.0874482408634396,1.4914269607125457,1.0094780754623343,1.1774711312551944,0.8074667007740981,1.338810285041761,0.7665398934973113,0.7912877133942662,0.7345898764831867,0.7364358979268002,0.6874253411569659,0.697002686911763,1.3219542804327726,0.6398911807318653,0.6727199990970165,0.5995514216723317,0.6536076375892225,0.6788366386532736,0.7013846688342403,0.7656230658524901,0.7492116499907259,0.8738221234836607,0.8462250845036529,0.7921622892892265,0.7249916659430089,0.7941920702268538,0.7012507156750828,0.7157213743991885,0.6705639651091799,1.0373805302198305,0.6839509016402925,0.7441758436854194,0.5987710553149738,0.6045133234266827,0.5705296503191783,0.5468479398268216,0.603314941799684,0.4322335435584209,0.43761039806800356,0.6199390426964753,0.4019393414470108,0.3862023269554262,0.37626376749562374,0.4182346268139059,0.45343229389387435,0.5484876501343022,0.5797356200688497,0.6585533492123234,0.7817762590761043,0.7641136058806219,0.6943718788003437,0.6171543340620216,0.6608790810919762,0.5136250005641501,0.3876296341556731,0.39657227349369933,0.35626871634273144,0.3994103407374778,0.37441942810395273,0.4675892366137807,0.3944700940096258,0.408970149509269,0.4160093852552635,0.516775886235175,0.47087014404282135,0.5018612505651425,0.5484735778615107,0.460632011437443,0.52629393909957,0.560618011118328,0.8279184996833097,0.9703232163987007,0.7794028180964673,0.594356794275643,0.5647109644536443,0.5409107740228601,0.5007223698703214,0.4869050363995359,0.4653549561408643,0.4569780395235411,0.5253322466896309,0.6890076877123794,1.0736832056794723,1.9763649142010116,1.5641125710044965,0.8411131502954075,0.5963981690920864,0.5578952484975701,0.519429655250517,0.5213942279022431,0.4597194519176299,0.5376626854447129,0.5194369054937955,0.5409148066678342,0.5726005107029305,0.6618120009823241,0.5787523878946164,0.6756157968949231,0.7186725970236285,0.7073184474729319,0.5663281709674284,0.5077058154159719,0.4923940239201133,0.4769822561743087,0.4884797404452901,0.5316555001380551,0.5419534418915259,0.7711218064568995,0.5311099991214786,0.6204681566878021,0.5131980075413195,0.46546054136419535,0.4868333621418175,0.4986428079113542,0.5389927331823753,0.7299367314776778,0.8254616176210434,1.2339961240317403,1.4681068274613078,0.9250952463351032,1.2895429350841299,1.3370239538861168,0.8783509306218311,0.731477784213384,0.5397106372995464,0.6338076792061552,0.6728797136557415,0.4352106163078953,0.4357599662975681,0.4200356746841942,0.42594101983209137,0.5220256203355903,0.4405619711204504,0.485202882261313,0.5548078986630754,0.5969728160912331,0.7114344601962015,0.584364407920043,0.7365575245367626,0.6765017879179482,0.6650703336745649,0.7847397399112993,0.8987384594204753,0.8221728498575538,0.8550475978678141,0.7972565747659643,0.9621329266921821,0.756391084465534,0.7049120806757216,0.7822902435870258,0.7865074402316401,2.088445437857694,0.9916866768655077,1.2489325827395275,0.8621935683707282,0.802913545893632,0.7665500573638799,0.713797535639243,0.6979393917200556,0.5547751614157389,0.6062054885978859,0.5810956011194585,0.623765567497439,0.4812278818588261,0.7329969386476346,0.662251882169483,0.731398754573247,0.8218541234263669,0.4849275976278078,0.5300697906737417,0.5915508238995725,0.7301611274617631,0.9471614354321658,1.109281474321139,1.1258551395886565,0.9358227560413759,0.945042601354714,1.2145647163768112,0.9816480661816949,0.8838724090086605,1.1018823523708767,1.2004407549859364,0.9485946312210771,0.9692893010803305,1.1545367834324007,1.1542824308651978,0.9648758352758379,0.994251530245448,0.862431839509855,0.8200145723705669,0.7553738578435348,0.7319346320967197,0.7064196099107755,0.6423682766645482,0.6097501925786961,0.6150781223796092,0.6598861927312586,0.5879079296603383,0.6277266371370942,0.8432552513333348,0.7824328389115555,0.7664707463777263,0.9115006105764853,1.0660964302577833,1.0601332988710477,0.9576353919068233,1.1460169950250179,1.1062645095832355,0.9942953945772195,0.8248123553142424,0.6836650698665259,0.6452883447701904,0.8382224410568813,0.8428764233933449,0.9812312464066868,0.9977453017930823,0.7500187229642155,0.576078179862296,0.44448498831148764,0.4642062347694875,0.4527109488519617,0.5455594076328532,0.9446095488418329,1.710989036038077,0.6437273582743632,1.0787867087537517,1.3772140525937742,0.909446524503661,0.9185350463600455,1.4534643028840573,1.3787009640106855,0.7999074119286849,1.5365871233641129,2.327016964316378],[1.402698837584948,0.6464296844625027,0.5340715324738612,0.3986695770911772,0.41219883834354487,0.414314573618606,0.38454976068960295,0.4218378091209454,0.37493267669364366,0.3470208726665412,0.3870521419909833,0.5054586076401414,0.4300740339374659,0.4437513212356504,0.564709034974716,0.550035438767136,0.5331528313139707,0.6765598904941097,0.8209213567145486,0.7335636152942261,0.8295138235967675,0.8630702992784821,0.9925707055604507,1.2200806114381089,0.8584382430161651,0.8639370234638609,0.686294598425733,0.5917492327822442,0.5739489302466392,0.5604425962615849,0.6942985840391749,0.6253923620913854,0.7656250812653124,0.7612975652270518,0.6869138150769019,0.6590259281601969,0.5826449082542716,0.626236372290923,0.6074010286277132,0.5837740776258741,0.7442904520043185,0.7936665097245879,0.7926120009867219,0.7627726759852914,1.460899585316733,1.3168890651963232,1.5117283896358888,0.9609062764389288,1.564047874848836,1.1833289146575536,1.1865671096469077,1.5094195061270155,1.3021608058475613,1.2432063296891742,1.8062130495914177,1.035974155431596,1.257620636314973,0.9517919796123342,1.168785711558921,1.1311439565005639,1.0480178503036333,0.8652767895412451,0.811900918493206,1.2334694999298739,0.9360835215681943,0.8290551093407469,1.0005237562707487,0.8279856374741106,1.0343668773718162,0.8387587559690518,1.1206501395644761,1.558345214960469,1.0293920155741405,1.1916132411837608,0.8182824897086884,1.3584925224600484,0.7690330320796852,0.8109619346864703,0.741060340812228,0.7446796763724338,0.688249905193061,0.6795002166514272,1.3205441434535001,0.6579802958183919,0.6344325765420298,0.5779261880653366,0.6510696139410799,0.6865978700892695,0.6978723372075748,0.758841584154001,0.750809820500696,0.8735055726961695,0.8208292630937046,0.7797889369911793,0.7107535969051494,0.7623459221507352,0.706967103107763,0.6786676472245898,0.6192774257614302,0.9832315597011926,0.6456313996050971,0.7349493527191663,0.5869310567416023,0.5914310665207885,0.5681712626866992,0.5710894430607044,0.6581713154121276,0.4477065080003997,0.470622538430995,0.6006543019794083,0.42605704075559325,0.4021691094439324,0.3717914174513534,0.42570436556917385,0.44701869733298083,0.5358155334848975,0.5721714328725447,0.6531251057617956,0.7640340003240509,0.7654220237493171,0.6904767753009408,0.6080802628661648,0.6297185644920514,0.5052012583112064,0.39597507708951785,0.4024324470047016,0.3797143956614549,0.41845898265161874,0.37862186757409905,0.46286549405707195,0.4029912948109509,0.4190504769104442,0.4215897757242381,0.5337127714444545,0.47959672615960397,0.5075076288101135,0.542431380837257,0.4524825683376376,0.5107775464123737,0.5466586352568662,0.8078376184164461,0.9397758852370199,0.7626820911705371,0.5889932235752389,0.5471641626989678,0.5166399505658666,0.4870537830439514,0.47927345977085173,0.4600082949258626,0.45806344518636877,0.5326876982319648,0.6523034166746126,1.0881443574152734,1.9582158740640285,1.4556319485025764,0.7946128416130659,0.5429498667937963,0.5309344542163875,0.5018235521722649,0.5250202382589956,0.47766558929800773,0.542257481265278,0.5090701588621045,0.5140964299104078,0.5632650449042147,0.6394146998094804,0.5634807647577353,0.6586323446347142,0.7150963250745932,0.6963027677362507,0.5548050751003178,0.4900148324382643,0.48650007710480925,0.480544113779278,0.4864555038312202,0.5232856839016995,0.5347738747526998,0.7646453407864802,0.5298906437690795,0.616017390674997,0.5095259247476196,0.46318474365100104,0.4817789766848193,0.4789576802532907,0.5309784557966588,0.6937095630794776,0.782689689618242,1.1873636750858492,1.4000300284977565,0.8634111608572511,1.2940101632833845,1.2646042937705173,0.8396595422505618,0.707135759507358,0.5276606658178029,0.6160770766203808,0.6860855452139256,0.43152083017826703,0.45753342736661573,0.4538644046946521,0.47948579888582177,0.5640787134478078,0.48546560075943485,0.5398142505853286,0.607631537336209,0.6355916752750028,0.7675457500215086,0.6604827645059314,0.8173022028996643,0.7594556460756227,0.7793551528592555,0.9063398023092349,0.9935939803406332,0.9391463764876503,0.9942542770111432,0.9084146242093247,1.0863913790666213,0.8713575761474508,0.8232644829481304,0.9033621035880838,0.8936136463626282,2.1863168806893554,1.0666537664131206,1.2955361171360433,0.9393429033404199,0.8921792680785234,0.8429782175587125,0.7648691700477458,0.7741994227405927,0.632074960618142,0.6808567365579128,0.6228806203865154,0.7001758584179089,0.5403979256366458,0.7441913196245866,0.6558993287713395,0.7699612261123874,0.8176162085435149,0.5233144690431779,0.5525347390743267,0.6292184731610182,0.8034281230902135,0.9996935230535138,1.165189326453154,1.1622127575741041,0.987089624426884,0.9969646031652586,1.2624065582715067,1.0137496281373957,0.942257237358041,1.1693948906228189,1.2580825385378527,1.0133000181504834,1.0565726333234622,1.2476783903315773,1.2264152394315004,1.0709759685570086,1.1120923116312829,0.9694744095247091,0.9287067109950659,0.8557304673300468,0.826179969102904,0.8147593311198258,0.7364096242614343,0.6932872765146953,0.7149635523341228,0.7650167964310569,0.6537765882156827,0.6795135442454672,0.903738491286804,0.8595793772713249,0.8072852777988084,0.9624800358864027,1.1243563257118314,1.1338383794599982,1.0456020408440536,1.1666334280940058,1.1266512336077483,1.1022154192676075,0.9078101742802295,0.780007505773883,0.7444947655537841,0.8994145735009008,0.9108367298777812,1.0343871655903139,1.045151729144947,0.7996553280849836,0.5966081536165767,0.45857164302816045,0.4859433725961696,0.5072274600715698,0.606081713758712,1.0365062544950228,1.7309640256672594,0.6707907840071401,1.1243006098403838,1.37129721878644,0.9254369311395492,0.9359159323707981,1.4905343955671624,1.4364010803199871,0.7956881634122913,1.6089159508296123,2.4086435844763083],[1.383867990659517,0.6182609274489532,0.48473882306756144,0.3781162088696203,0.3951033072220433,0.36201375369336436,0.32329940049608774,0.3269906966107715,0.29208474308088755,0.28596623620733974,0.3088391232523976,0.3963424590855033,0.335302340404059,0.39108076559101385,0.49398968400971377,0.4663847735264689,0.4961296554419142,0.6326989765968182,0.770593640212593,0.6737213235534487,0.7538027300291601,0.8071803929130419,0.9050672881557673,1.1309225919480517,0.8085142066014097,0.8157460983650345,0.6426040024302263,0.5411682087761612,0.5192015928317653,0.47101446401413954,0.6093204375362777,0.5252553068394523,0.6548139646406043,0.647368235185724,0.5738920931786095,0.5664837288510851,0.48443667062989454,0.5530409926300713,0.5307161769557913,0.5043476943656647,0.6971376909890641,0.7338396974325464,0.7187433097486599,0.6984827811847485,1.3514702785843014,1.2030862136462153,1.3597746815046772,0.8563063158703159,1.5813286249156924,1.2321116291661083,1.0827920221333747,1.5000191115662813,1.257905826382108,1.1980734660275287,1.708621959411076,0.9581058527259428,1.210263608533895,0.8434879478217358,1.095978502029642,1.1005613924330815,0.9937578503230958,0.7901900285821799,0.7261304224591812,1.1259405199633585,0.8471819049525726,0.7533419828854613,0.9116626739376386,0.7667101401966384,0.9918361332874301,0.7992135754815911,1.056161606195594,1.4751406967333718,0.9890954343771028,1.1320901549392883,0.7526104611217086,1.2793112830424767,0.6817807724293017,0.6991892015191079,0.6344219237485135,0.6369684676757947,0.5823244271548831,0.6122184198083408,1.2939442437545632,0.5630244137314417,0.5908481986419939,0.5165743839508187,0.557986143469456,0.5860193539609494,0.6037342129429262,0.6486822486535575,0.6573703276155984,0.7926745745041396,0.7409524725904627,0.670544249838237,0.6131183583625679,0.6780941080359417,0.6382578051660941,0.5823478129044759,0.5240634513390977,0.865921536057544,0.5359752092458678,0.6232055869060489,0.4780756129555264,0.5192998052058014,0.5077234626950801,0.5112100140833647,0.6286318117464771,0.3797184226611887,0.3986398755548317,0.5555328483227101,0.3482394631261635,0.3166686248176069,0.2914976216986595,0.38363433851223416,0.40761060432692575,0.5008295749224587,0.529255922662898,0.6153568961731397,0.7157321431024146,0.7263889263999049,0.6689916760267739,0.5740985669412298,0.6105797509180494,0.47547781163376696,0.3669385675727158,0.3710594507599124,0.3399726958857016,0.3756460719424385,0.3265125681965016,0.39465372792531167,0.36964727218148036,0.3816883679749836,0.36928889920409225,0.4586652244863752,0.42750249630299314,0.47312916736707966,0.5103757539671393,0.4161648796405123,0.49346313386335516,0.5082729561315016,0.7755385977690518,0.8695659404120695,0.7084664416774856,0.550410907059262,0.4965049115384457,0.4597821566864386,0.4295484449690168,0.40872296174641964,0.3777876587875699,0.3723870165641323,0.43761705041664906,0.5459261829804878,1.0228165128968345,1.8558680097197302,1.36858096938981,0.665342764156387,0.43974277714732163,0.4403978561713549,0.406429391850464,0.4387153184326365,0.40682629973461293,0.4552612154433186,0.4521192746999407,0.44395573268029087,0.5055910019359787,0.6033081327443972,0.5047647903424939,0.6252676733751902,0.6998975851599926,0.6653694927403672,0.5168635763940997,0.4518485626601195,0.4310924423542146,0.40849778634414236,0.3819664957583153,0.42797031525629153,0.4428679053986996,0.7000292795428291,0.44136059841652564,0.505034474478116,0.43208712241527375,0.4073611659298174,0.4206979169176556,0.40839008768894186,0.46058662665002065,0.6426674282418692,0.7748091145023127,1.1715535587729524,1.454340394759156,0.8858438669860589,1.2377337634962007,1.2304117705624928,0.803766793879158,0.6735158064649907,0.48750030550845797,0.6104698408304299,0.6622022166675303,0.4276163190691618,0.45151907987643725,0.42005335590382553,0.44440086178829075,0.5167982446294648,0.4374690063594631,0.521815606146653,0.5718893251863647,0.5938588017515952,0.7518019375274072,0.6353744053414786,0.7554903271117868,0.7076583540089764,0.7345672416505719,0.8514678185429707,0.9370394812079593,0.8881777124265371,0.9506381942805486,0.8876691174800988,1.042836232088828,0.8709152688238387,0.8068613781883834,0.8740887593525154,0.8669537245754597,2.0919321328658262,1.0422157889907864,1.2962121012862535,0.8768694580267613,0.8158306141472789,0.7705114241320307,0.7072842216290088,0.7674201639230656,0.6023563220709742,0.6394708532139213,0.6043055739381898,0.7028756955473348,0.5360165652170279,0.7246180161439212,0.6860381383781805,0.7909059757942685,0.8276708286552886,0.5216412436386526,0.5388658020546396,0.5763835205834451,0.735048755138686,0.9273836622052704,1.0837842400677618,1.0931248446300736,0.9281282330780474,0.912463025137183,1.1664037383691699,0.9395092948956705,0.8764988011106347,1.0957290227526642,1.1941700518730818,0.9527751575166875,0.9845614247768183,1.1751726966155942,1.162044517743496,0.9998174190624507,1.0387786680929354,0.9008395484272714,0.8557297882085825,0.7814712745632754,0.753373340414146,0.7680293198390614,0.6957708675103965,0.651705948992837,0.6932241907080388,0.7529662410675098,0.6571183682355636,0.6931528039261458,0.9441810139216248,0.889295429494982,0.8354637837189695,0.9885893969270904,1.1399461599154084,1.16566968472809,1.0825491385338553,1.2014747840094282,1.1233110011761829,1.153024533826155,0.9229639865032777,0.7849776128637295,0.7331452494911448,0.9112720179714763,0.9319721689558076,1.0604717273061737,1.0681658917581003,0.8238382359910262,0.5934072296866763,0.45140484356049876,0.46732813427618003,0.4513551219808313,0.5622405373480464,0.9841771856835811,1.6836950844495722,0.6145013307422078,1.069925537468094,1.3093108847051922,0.8678779083907724,0.852323401544804,1.4301164411756722,1.4198275242944522,0.7257454388783888,1.590855557092955,2.3748024097384044],[1.4281210789333818,0.6567744773826021,0.5091145154524898,0.37619636819548996,0.39808998599319484,0.38032519242851426,0.31171531735655267,0.38166088220504607,0.3092451746953577,0.2642923373713474,0.29293934205899214,0.3813488662745601,0.29811263670232624,0.3336575864790599,0.47357678806120473,0.42557337183472693,0.4370288942637369,0.552767587730739,0.6690752387528036,0.5728434586706816,0.6431914795332074,0.7184274054427142,0.7791634609851724,0.9913736187348032,0.6914643101177835,0.7052729993456573,0.5357586685691509,0.4540203093597547,0.4373068092938853,0.41489302664222455,0.5397747385084931,0.4900656155171912,0.6210663608518586,0.5920320494394927,0.5147230149184725,0.49097849398992005,0.4222559516629927,0.44715338702723456,0.4236973957606675,0.3959152600937273,0.6353712737647179,0.6178549478260552,0.5958392119905003,0.602675264405973,1.0834863063905598,0.9730692525710014,1.0256589751477352,0.6647575926233338,1.7474148551693467,1.3746503729230735,1.0308262935814847,1.5694848735945581,1.214546685364218,1.0841310173551515,1.708263111565802,0.9524831684394518,1.1729910256173743,0.7407173371490915,1.0757109995459087,1.0045617231789123,0.879183988838414,0.7113720787592805,0.6574246446459918,1.0269391706314592,0.7268267831641732,0.6573617510140727,0.8393487671857947,0.6840894422427867,0.8990935042882481,0.73418820814665,1.0282706445807592,1.4538833669557139,0.9398456172156449,1.0369602316862652,0.7003423464335798,1.2172020829462247,0.6124103499513683,0.6270385898296813,0.5607192802611067,0.5558379009898192,0.5101699982255528,0.5291436468889262,1.2745799798709667,0.5323325274354788,0.493748678133574,0.4262002143594781,0.4623142345152921,0.5248141059706913,0.5160214298504893,0.5928208650414296,0.599911158691141,0.7131744056567869,0.6745266006135918,0.6230718791749168,0.5720004141436389,0.6478844399709259,0.6243156993671952,0.5581490043442618,0.510714732928068,0.8479220095641771,0.5234646999437135,0.6466868988293699,0.4611185419765598,0.5244519804659541,0.5165080129673806,0.5307428636296534,0.7033231995911229,0.423429064030012,0.4507160918827612,0.6105794808422991,0.3906105996925495,0.32046819126041537,0.287494597261766,0.3479735563566041,0.35067543963792447,0.4196488144720491,0.44269137322433005,0.521052908682018,0.6396642784902836,0.648226270252969,0.5839100687185665,0.48978859962834614,0.5215583352068971,0.398761681171096,0.3144430336672487,0.3199734729082374,0.33505771911211296,0.367265037793952,0.3207297629133443,0.39496163097798154,0.3595602404017463,0.4046889773641526,0.3521113937871243,0.48065558979497514,0.4158895828099901,0.4662706390196395,0.5162692350769094,0.3781987361242265,0.44783601986471744,0.4347392303272283,0.6855738744046411,0.735863982220247,0.5930653862383221,0.44961099072631944,0.41649579533511516,0.4030212764227608,0.36787410608149324,0.3738274125713861,0.33890885315942976,0.340928796182984,0.44304590905061647,0.5277274142174851,1.0396266403368715,1.8221088177505937,1.3065541908785625,0.6601559011673962,0.4344252213685918,0.4360705204248809,0.3842537248551176,0.4274285074337751,0.36225208871900366,0.38755820341663627,0.4003755665907113,0.3650882790940207,0.45950076372847276,0.5000130793069529,0.4549328802140331,0.5694517753083689,0.7028400977255655,0.6472524366638324,0.49734675401433776,0.3877258934607579,0.3829458659629261,0.37401040622092113,0.3310444320486958,0.3876897992771134,0.40248453876646634,0.6900810770887236,0.3935622146483263,0.470725349095361,0.3899381349752554,0.3868361925970578,0.3960070561129244,0.3673898817157286,0.40695154264629946,0.5358984626002162,0.6623177668807597,1.0234079855742042,1.402969210583447,0.7872799843204762,1.196417721927315,1.1452485567849222,0.7773129438001921,0.6483471930387462,0.44047156165271034,0.548248180766315,0.6593254018023919,0.41270519026912805,0.452184018022081,0.44586082189335313,0.4868408856321368,0.5624429080557115,0.4758009806528674,0.5438561431180742,0.6164888457354634,0.6293825677798283,0.7521759521949681,0.6667462006958222,0.8026759534442256,0.7425820435995604,0.7741615452285722,0.8972945116841202,0.9741069095940377,0.9208076401325885,0.9884636709123189,0.9228892478780634,1.078503101167542,0.8960170084397228,0.8374130555005744,0.9088311329338765,0.9050475949314349,2.145151941480416,1.077431521058929,1.356903296658306,0.9211082109377391,0.8672683208886905,0.8199862764935381,0.7563693978121769,0.7889541607636954,0.6309028318456957,0.6891228543596499,0.6349065103091591,0.7242245609396833,0.5649218079439612,0.7539559701172781,0.6650551877469911,0.7778761774785792,0.7789261015492295,0.5401342051828828,0.5593431838155423,0.6111255731713865,0.7889412804857052,0.9726517889075839,1.154646328653897,1.1318044004188978,0.9714208886277327,0.9563289671860514,1.1960248432168148,0.9691874334251792,0.9250677378735349,1.1510155439265002,1.243263789473494,1.004583249164569,1.0381361884911873,1.2171912485824985,1.1921543459760369,1.0478929351826558,1.089867156741414,0.9552544336730086,0.9132857584627714,0.8384212451442206,0.8126130730706882,0.8179374218079676,0.7436150468187858,0.6997191744156874,0.7300047218929786,0.7814790142248592,0.6796233255544165,0.7118041598298427,0.9488837237428756,0.8955218470532847,0.830567549228985,0.9670429393373149,1.112706631846047,1.1625281769436526,1.0929094514297086,1.1859240750918174,1.1339372761913458,1.1958574007632332,0.9427770104836766,0.80718201208154,0.7697528946736918,0.953711270515755,0.9514649560700648,1.048822729059341,1.0547175928502213,0.8255095550280356,0.5897362999883257,0.46521729458710726,0.5050681190430553,0.49528225032531675,0.6229745638090334,1.045865518592152,1.673211234109856,0.6409791108692808,1.1042970749906735,1.3068814444838885,0.8446567977758423,0.8639592717405656,1.4578025332553006,1.4486832024337923,0.7653145720511084,1.6749278439455364,2.4696189662535715],[1.366923170591983,0.6411174444147938,0.505681973456782,0.40980158944909806,0.42665730878633323,0.4075317567904988,0.3269979917283272,0.339757702584469,0.314079638091355,0.2791601797461336,0.3107716006682197,0.37255674083585766,0.31379011293950265,0.3605683556997,0.46614908744124695,0.4309966425189628,0.44804431649441306,0.5625795275945354,0.6854191899126743,0.5955945980018448,0.6614267690343045,0.7350144928053125,0.8318341038627562,1.0335952527613972,0.7455030303089698,0.7412142547328007,0.5755714694463743,0.47889116134727394,0.4553887349259575,0.43002889062582234,0.5415720182222725,0.4867876011512889,0.6069180891044939,0.5908150059182143,0.49468881633470424,0.49307516148713965,0.42439197047805577,0.4792939110056857,0.4684961072357432,0.4536221031534078,0.6740726372125863,0.6711789610577289,0.6545529693744407,0.63943084303312,1.2028814241280967,1.107947021884654,1.2035792838759818,0.7305340382792825,1.600245312229805,1.3292117622557922,0.9871789360609049,1.5217289037999142,1.2302983070220141,1.1830797307420262,1.6512346356083114,0.8807306956599639,1.1660489342372171,0.774406851347788,1.032572895540363,1.087003904833905,0.9449993051520049,0.7140549641947146,0.6424453107180584,1.0152217643252692,0.7535797363723016,0.6567729130985713,0.8215806453957548,0.6861017501860766,0.9180555223478103,0.7248936295586053,0.9981229764687338,1.347808052981739,0.9094094187758581,1.0341422428177867,0.689014490726138,1.1917195592313135,0.6111463584959207,0.6262932694069393,0.5554263408613512,0.5532741143403619,0.49948286032620387,0.5338830325727415,1.195043520751218,0.48844198191168053,0.5511679059865654,0.45314026440233346,0.4771077869068101,0.5305806498139208,0.5138711094672718,0.5854513992221032,0.5977941484286621,0.7168222719746944,0.6836659631890534,0.618437264049292,0.5685475652057953,0.6528343997581157,0.5890905810760804,0.5420920509800052,0.4918599604698184,0.8020491674971554,0.49448377379608804,0.6087075656377648,0.43193269376208815,0.5130664379447257,0.4971417908435702,0.4826260972010393,0.6296670489753793,0.4032328548172486,0.45030458547835117,0.596387937968473,0.38371581682375194,0.30169176466252007,0.29107742990281327,0.36030867832277286,0.3710778162159127,0.43844826621509997,0.46595506171624257,0.5380646145086808,0.6466674992238037,0.6656624626777954,0.6110403268730774,0.5227003338455687,0.541454452609684,0.42599367924905834,0.33585811017891304,0.3549261178720741,0.35387670270033833,0.37433974974945383,0.34141844139597555,0.38846260122288484,0.3894510565750519,0.4033316743664538,0.3613252716246902,0.44730364102481146,0.4144627164913868,0.47221161279806895,0.5080559520811442,0.4007068395546811,0.4647100420875761,0.46615770775673004,0.7148542086109969,0.7743268912765865,0.6310918050092407,0.48499915002282606,0.45171509548231786,0.4164711022550909,0.3793679616568636,0.36595228588856815,0.32919487059859825,0.3558225781900463,0.4353011621703002,0.5338839954566805,1.0028225819219865,1.7973417979047546,1.310940604212446,0.6058071459531463,0.41666050625223644,0.41681211173317584,0.3688626418580359,0.43039609330855033,0.35062992729143766,0.390113303644191,0.39597760854769903,0.39341825587756796,0.43852115874991354,0.5459253720182637,0.4611622255232484,0.6286716784559625,0.7224443917535287,0.6610538614435548,0.5021633343816408,0.41639456189822716,0.3791698650955344,0.36437234060028123,0.33710910612044803,0.39687983567759233,0.41093389881379594,0.6850420818562494,0.4103938991109023,0.44612824645236593,0.40512751269127845,0.3692107587761123,0.37496252994039303,0.3730668420121879,0.4281818829786161,0.6164950981310394,0.7576414967664526,1.1229001003044219,1.502216001770383,0.8939394352968184,1.1873919422247199,1.202125782399949,0.7969504652818751,0.6770825801396622,0.4904051431427153,0.6524619164451417,0.6492581379882857,0.464542786497855,0.5045693803406185,0.46259974447528457,0.49459497591315843,0.5315275958109215,0.47843850005019556,0.5699962999166269,0.5966177166236928,0.612867906470191,0.7784028472758315,0.6673636408382607,0.7574248246862775,0.7257210907472958,0.7599726208463778,0.8666893707773216,0.9486049823483285,0.9062825314974143,0.9641485031772773,0.9193041741008651,1.0285938741215925,0.919483856395298,0.8420788317083102,0.8928791234843705,0.8931128129989425,1.9846173371588545,1.051298551212091,1.3026674215864336,0.8842369901351053,0.8066468458884918,0.7697899821983761,0.7161033028786367,0.8130793296590364,0.6307861563666186,0.6419302769890834,0.6342256287732635,0.7427104504886844,0.5778755444394587,0.7307161890723713,0.7530242446887967,0.8566933748164657,0.8559592189804383,0.5788163735894588,0.5699073987065435,0.5764426242929541,0.7195603064826119,0.8865817386438616,1.0533305639285955,1.058685114512957,0.8886426635759932,0.8837195650825763,1.0788718190608324,0.9130256618253647,0.8605360585965088,1.0505234842386677,1.1630702431700088,0.9361348011441785,0.9461361302014273,1.1387453808925294,1.1677806864320972,0.9782667357751506,1.0147223613832748,0.8871569694254225,0.8359455015371179,0.7625464097238704,0.7467590678512553,0.7767611832461789,0.7203991238657019,0.6771131372062431,0.7368577171395287,0.8044312122156752,0.7171674896614925,0.7695187934005726,1.03192487041216,0.9501799889923127,0.8983606191039643,1.0594835482912084,1.203779993372014,1.2225754334904566,1.1428946694087294,1.2525005302970933,1.167957499620188,1.199609690857481,0.9659481365520188,0.8157754525117934,0.7636043958896508,0.9407882567247557,0.9663454613370759,1.1059761350199508,1.0932148431357285,0.8695086223675867,0.6185281580756827,0.4966905222006582,0.5086559898646033,0.46979588768997405,0.5784862664401603,0.9491122045174649,1.6377792930606605,0.6237507898115897,1.0333228550025115,1.253905278401039,0.8485107211339287,0.8151492929275326,1.3464539277907952,1.368358488483514,0.7503066322068203,1.5919688600654347,2.2745933444735114],[1.4732611649648637,0.7186240021742918,0.5704954890293047,0.43411156052067784,0.44749117677267614,0.43818389221066095,0.32416245726839443,0.40769223441947133,0.3187347701643805,0.28269910487130984,0.3307709558949598,0.4252451422654828,0.3182015951113345,0.34624888049242425,0.48774938832188525,0.4285330443023955,0.4376023721857689,0.5311783254700014,0.6289989694563962,0.5478329482414341,0.5932034687096925,0.6767783357196505,0.7386531428673974,0.915003504212415,0.6576601498073833,0.6652230214448133,0.5058257201542449,0.433697905079972,0.4292270029445859,0.41164986533632286,0.5371587321122366,0.5025001021624128,0.622589192507178,0.5934027769561692,0.5052433612088485,0.4668922882376551,0.4159841686044114,0.42242499795066185,0.39008427788784994,0.3801138286034812,0.6285911381086968,0.59870305193363,0.5647931921389724,0.6134645959088405,0.9710607817946388,0.9414194756182862,0.9072755148546828,0.6326756400446562,1.8022382965811414,1.5398863190658136,1.006324094766818,1.6119630078774365,1.233528804653286,1.107564925265835,1.6960734211320327,0.9582367874184708,1.1559401490620733,0.7142122141832269,1.0630685001327633,1.0166539003864228,0.8506266765073581,0.6852057695035777,0.6199157113215034,0.9649686397666639,0.6769790479398633,0.611619151621697,0.8096984397438033,0.6736836183015237,0.8715108877362032,0.7324782362664384,1.0282838283198301,1.3960492048515896,0.9403512388752352,1.0014901512454013,0.6925601317389457,1.1794744482705553,0.5895018951172061,0.6131745825841197,0.5377494929079908,0.5158397947583903,0.49213027413513477,0.5164875951507741,1.2364029499194713,0.5152994899744677,0.4871328208197926,0.4197195060156829,0.4421339475718262,0.49617200642501474,0.47974763992550146,0.5792659699530118,0.5939289079325158,0.7028606358540224,0.6819285951315264,0.6253710221272059,0.5762248449860345,0.6726974025170556,0.6429826677814504,0.583327110791655,0.5398377030530888,0.8105235325615018,0.5377881378205662,0.6895713202428241,0.5050356509971168,0.579404786948486,0.5766216550077345,0.5643063633833203,0.7918843373182161,0.49538183628123694,0.539468806248103,0.6602582942448175,0.4648224156668616,0.3553907719773448,0.3187296421088816,0.3495183948473588,0.3336767225735425,0.37761200082565055,0.42935607019427147,0.48220662525716157,0.5826080889791712,0.6174994006966789,0.5475398483183046,0.4731105764433738,0.4809865807205838,0.3685839388848437,0.31321747123729315,0.36290199019046765,0.3686754255541409,0.3973338464721569,0.37788596507113215,0.4240382906538975,0.4176876187921335,0.470808209436897,0.38958440903720254,0.5074162164023602,0.41105565323504617,0.4740219663867161,0.5268405165062532,0.39235032970964195,0.44483401656709926,0.4085232435531534,0.6555942405384035,0.6625236542692488,0.5364331795482408,0.40690643917951047,0.3949022223901034,0.37420463405373416,0.336640407157969,0.33947911638928485,0.3474954129706319,0.38761092684150233,0.4801949224752298,0.5298136155041777,1.0508851775746892,1.6741819407075629,1.1818377062072656,0.646454643344429,0.4745795243276662,0.47856663260051074,0.4029556666363004,0.48060383138038804,0.3789528051455013,0.3667560209485242,0.35815762581849775,0.3456096740554972,0.43130298191981487,0.5110845457345295,0.43583623011057226,0.5901911263959795,0.7278857797502526,0.6485830130175997,0.479805786135011,0.37696137485057585,0.3683229593150386,0.38575536389151893,0.3519293871484037,0.42518097918554165,0.4293457480524324,0.7230406716840583,0.41670815969487474,0.4732548620783417,0.4206786867193911,0.4330309768641848,0.41907389182564125,0.3953736616444225,0.4144903635421851,0.5664079733132319,0.7133727363180973,1.0145853991443088,1.4679572215236931,0.8147924511878994,1.1762962660179879,1.055316466806869,0.7361023519948722,0.6383934254183291,0.45713653769061746,0.6198188330243145,0.6998299704672097,0.49894672516257993,0.5665943212727317,0.5390845043951857,0.6187222270366842,0.6529421462384165,0.5872129517149529,0.6786457763559,0.7338092807403548,0.7331892573972367,0.8631228943467087,0.7956208032508345,0.8934858775568372,0.8392245054401075,0.8925534011513122,0.9965966614404127,1.0476768549018922,1.0083039675563759,1.0904502802922906,1.0409511537487801,1.1294657710510212,1.037791214866461,0.9509404557142459,1.0234394744177628,1.032212833984858,2.0913545250258396,1.1635028166135462,1.4043646428005079,1.0069138554575847,0.9683895366606726,0.931894281548961,0.8779896304977024,0.9683873011853088,0.7669652138449267,0.7736606585227405,0.7221764602213258,0.8231121939819683,0.6721783269414164,0.8048021489339663,0.8218334074989363,0.9092863901050936,0.8780043281365273,0.6652540847664061,0.6630116241175937,0.6886412465838924,0.8435128887000698,0.9683197193436406,1.1877155842630416,1.1219785802765947,0.9830946788262402,1.0112818815913596,1.1601554602176751,1.0103327051246986,0.9826076598346983,1.1595507147034192,1.2562410210892019,1.047196061951245,1.0764331561602662,1.2538061010681492,1.2721216984874315,1.1089852418652124,1.1611604748597146,1.028749210905413,0.992857187073111,0.9232349339748038,0.9059741430956737,0.9407268731587993,0.8719044237835212,0.8275448528082636,0.8813387549658266,0.9259257047613126,0.8273975352897931,0.877238392275812,1.0993445030943048,1.0183010252055162,0.9620145340521176,1.0698234145794356,1.2320628037706944,1.2675326947428038,1.2155364183342177,1.260363976113631,1.1742742429519633,1.3314278843562175,1.0548125589198014,0.9303798190435275,0.8894104138013507,1.0464614856309713,1.0430850966339427,1.1289354576984376,1.1142859037191952,0.9566661535540739,0.6681607658948564,0.5506497545132438,0.5387562648501086,0.5526435223499907,0.6737277633225314,1.0435198523670044,1.5963538514135553,0.6549593756160428,1.055877526307273,1.1820750190193472,0.8283416864585265,0.8281241072690223,1.3319006415109647,1.431801416680581,0.9981456926382909,1.9917892930327037,2.760635221306745],[1.3929873718957997,0.6273439529865056,0.5045295313513463,0.4031431345802044,0.4353284386315441,0.3720981423656652,0.28523305209129074,0.39350810199088626,0.3199530400088331,0.3054987543305638,0.37141639378858105,0.46818960605876725,0.3527688669807416,0.3488413400689962,0.5034010514985265,0.4518851755805593,0.4263824470304591,0.507662874294466,0.5746807783821424,0.5150254549949103,0.5481414018456028,0.6589025049043263,0.6948576524832231,0.8444394937082751,0.6171377879565828,0.6136819516167018,0.4797858554408571,0.41549532066548184,0.41716050412667993,0.42171711814420626,0.5273796574904571,0.5152607801273456,0.6379627425550419,0.582380724271035,0.5140437447072418,0.46346724192986377,0.42728195328005797,0.4192767139105029,0.39316991437281007,0.38751092963903094,0.6595255522241642,0.5931760247061096,0.5641745672513662,0.6147825182846616,0.9220807969589325,0.954501312610188,0.8875054814175641,0.6210119699621014,1.836003522519364,1.649087925097982,1.0018237288679555,1.6611972198433027,1.2298654015204584,1.0743941155415944,1.661785491153386,0.9626757927624491,1.165781156368918,0.6814464514409819,1.0458614462925073,1.0198879339792575,0.8359733548116404,0.6504756359576358,0.5842946106165908,0.881508956388957,0.6279305682381532,0.5868135359379184,0.762115149375271,0.6185687854712539,0.79304899451462,0.6808480154823883,0.9672867916728124,1.3224818496028057,0.8800170919908734,0.9434715760939695,0.6490780375584209,1.144579853244099,0.552269202868616,0.5892843660517407,0.5161819111696335,0.49731429676273725,0.49541790198893804,0.5217774730936937,1.179366022002383,0.5007641019594202,0.5177859294464133,0.4439398172896874,0.43548651896618673,0.5171521814467375,0.4613956341041418,0.5813288863257523,0.5689918853414945,0.6866930599378478,0.6691392578078821,0.6243977411743448,0.5832811164659035,0.6780008311752391,0.6470108420767575,0.6002668740429363,0.566056160040407,0.7984001669160985,0.5639592280961518,0.7068862931745566,0.49518892591754643,0.5765958173466549,0.5679168772420982,0.5697540517129877,0.796564260598081,0.5016081016378949,0.5237440619911352,0.6540649355425567,0.4452910059306545,0.36264633647896805,0.31995528722091227,0.35679298176674507,0.34668168241020514,0.3631296506032228,0.4342444957861966,0.43710118739871007,0.5309972164016873,0.5736690089138472,0.4996226771086161,0.43634706246509525,0.44779437316669496,0.35365060213487065,0.3331738528862875,0.38621749141727363,0.34274881973471927,0.38243496624784323,0.35824424109228015,0.4028015776140218,0.41262056410982473,0.4592311380107316,0.4019434260285215,0.5168205637627333,0.41450534094173636,0.48917160651865904,0.5421032359004991,0.37524442871367863,0.4217636497759426,0.3756668377719458,0.625808690375201,0.6122118519672214,0.47721076912161586,0.371319372020368,0.39404410228090986,0.37546450758309874,0.32839870510906255,0.353957787963267,0.35636378590267037,0.40330644723544756,0.46112303952551253,0.5154323187654427,1.0527679185554994,1.61209850325218,1.123400073646744,0.6422883476509063,0.4858198062947117,0.4705526447262543,0.42331600560231847,0.463204142698537,0.3747928257779149,0.36486768028444927,0.3458928171799171,0.3497713457042888,0.4298258920304246,0.5194051889244291,0.4519507532702218,0.6319505960922773,0.7859848301348362,0.6870734655874108,0.5068781043551825,0.3779966349597461,0.37104314517425996,0.375501520140247,0.3754355224702687,0.42214176413773313,0.4430053405687857,0.7171457294134134,0.41426231263638214,0.47645630187182075,0.4193106822074022,0.4192811693865614,0.417959986440039,0.41211405088979,0.4174157020288766,0.5637685094169615,0.7244938454586497,0.9833011531281923,1.4913211837116187,0.8604233007980513,1.1122735237991634,1.052966606939655,0.7440743264717656,0.6585439045513657,0.4990153493700918,0.6849597034244506,0.7486452086465254,0.5071110641228991,0.5539585706229319,0.5164259423222541,0.5893631392550167,0.6410808049665562,0.5588347090597392,0.6436487495458646,0.7038106410455993,0.694500666856624,0.8027678830766608,0.7520078383513205,0.8535222096571875,0.7926594716558468,0.8344156528134472,0.9567506633239828,1.0169625974447254,0.9451932078262116,1.051690298480699,0.9973373266475741,1.1148724886760768,0.9964111245900392,0.9353090864506336,0.9880317448944328,1.0223637188819736,2.037013470096861,1.1419509511602712,1.3861142729514622,0.920457015575911,0.8918742031734362,0.893542628986442,0.8246375432535766,0.9355810361463672,0.7344573675154127,0.7596854855834916,0.7261872820457055,0.8336938758429758,0.6707222705836065,0.7753146593081355,0.8256557169479511,0.8948704401152386,0.8731419532602338,0.6572896621061743,0.6408326052305037,0.6559507175119007,0.8152111453620486,0.9505537343981335,1.1832303515493323,1.130160708804915,0.9854104914138744,0.9378167416058156,1.0862213187546619,0.9666382599988554,0.9291303265636626,1.1238783399883778,1.2339694543828978,1.0161913599035333,1.0400816108065534,1.2213320168145412,1.2406308817261906,1.0662592287178023,1.1156182865914799,0.9875179142794479,0.9474072224309642,0.8704039110852877,0.8510541370281988,0.8876619835366527,0.823701851916473,0.7993921669245422,0.8390007644708141,0.8766856394758652,0.7939487178568578,0.8371353836504628,1.0834501239208283,0.9922347990354161,0.9472838953631877,1.0563471131202031,1.1752126357668347,1.2262719354913594,1.1902177160800318,1.2306788441252037,1.1749894841098993,1.3210586137088631,1.0225090626766193,0.8928776194579935,0.8532479221338549,1.0239752712295178,1.0264565595664,1.1162781828321837,1.1002544130444307,0.9298630825719714,0.6221426877301502,0.5294863730702455,0.5343606142944712,0.5411627244072426,0.6563096202111244,1.0052600643297294,1.48985104721008,0.6164873794838553,0.9936650077705604,1.0812320384837002,0.7406148460453134,0.7416026728175028,1.2105034954777536,1.3291797643429701,1.1504521191376993,2.2395247860215006,3.0226373162461533],[1.2858021607271317,0.5622344827821164,0.4551097019355496,0.3780708723092676,0.4573216682889339,0.397359113250492,0.29708765346711113,0.3977455490049157,0.31693814930690384,0.29465081924619685,0.33991309566997535,0.43573753846463137,0.3237619855304879,0.33154970551858953,0.4591141172741256,0.4138686964748851,0.402161304873816,0.48039839153466657,0.5625743987667734,0.49160070640703335,0.5568394285186493,0.6650236040026386,0.7336279621158787,0.910898355575518,0.6455737599844102,0.6343203470055112,0.489532940037574,0.408794508711826,0.3991215092941373,0.3976116831117684,0.49253784773463616,0.47357504026602393,0.6123790600328183,0.5462231310409073,0.47635174894913945,0.43426884117170816,0.39630795520036766,0.40254402979059295,0.3909422058068908,0.3876580923483653,0.660363153186503,0.586328662477154,0.5566434574724098,0.5852356859610898,0.9774146526505636,0.9857719054434333,0.957457241083158,0.5960222063324576,1.725913067911437,1.5783495882871978,0.9591328132420872,1.6034910295964198,1.238734486046817,1.1108108362998048,1.6662517812774433,0.9372300653336493,1.1311774371912695,0.6887649901384298,1.0374991396418203,0.9958516257098265,0.8322341970046346,0.624278518165524,0.5578519019855313,0.882116134435289,0.6230864846176307,0.5660753995128851,0.7172848366053046,0.5834827899095387,0.7897610339931395,0.6617087969090887,0.9229287111949754,1.2816159889521155,0.855256243835963,0.9561886414746384,0.6265609957381801,1.1348735249820616,0.5204321188704868,0.5551782894441345,0.4782398584628931,0.46653606191642444,0.47327519896074227,0.5096387168659782,1.203190880529534,0.48342198269114345,0.5044899052965172,0.44111210574265636,0.4252109254888758,0.487901990569046,0.4289399919247815,0.536893186698075,0.5387310192512067,0.6643321379724932,0.6370784699376798,0.589858358218102,0.5412075322655056,0.6404069895742595,0.6072015516228753,0.5616606458386725,0.5307326737640694,0.7972396353897192,0.5352617376979619,0.7004360257365868,0.4712339036445462,0.5636706356482033,0.5671845933224845,0.5634638442846029,0.8001913404173987,0.5042973680245332,0.5218922341415622,0.6617109692193521,0.4314810448884009,0.3517193867607694,0.3259020482253189,0.3678242486104092,0.3218928794211699,0.37380047949386813,0.43353806424633523,0.46019258528574897,0.5740398464631477,0.5743486462726527,0.5182158249342875,0.4445735030790031,0.47412887018905264,0.36861882191894507,0.35787554640780417,0.40826068095929835,0.34383084728841756,0.37430512102792873,0.3529090273076208,0.3992160151991702,0.4210059203794937,0.49215750129743246,0.39012328184211603,0.5046235793497089,0.37479245147316786,0.44012566258888036,0.5133581455345895,0.3726651013144215,0.41613408249817574,0.3806060343737859,0.6584595511364036,0.6706701879709569,0.5068461053811779,0.39246018743700745,0.3981721514550069,0.3707079509610891,0.32794159024410185,0.342427321980886,0.3468744619114729,0.3948080527067715,0.45876917687857366,0.5042392615592005,1.0499594202163753,1.5692269603718274,1.109811558784828,0.6429305188529949,0.46747696831925123,0.46218397308525166,0.39319348690335654,0.459014937158529,0.3694614648651907,0.3505961020560638,0.33949210140174463,0.3494833158419272,0.4195285919094428,0.506201217466856,0.46208591221219214,0.678181549428804,0.818296542930094,0.7006157701964876,0.49510999223840774,0.35636212449988625,0.32871829551547393,0.340800859645659,0.3615409347272287,0.42097519868268546,0.4226705754449159,0.7182491222560327,0.4142443911893118,0.4631338945978143,0.3943346377765383,0.40442230738410406,0.3982410576320391,0.4109735133235607,0.42451496232617286,0.5876839833330518,0.7419884778202421,1.0330612567825184,1.5370393095701609,0.8901300508308037,1.1180040051007096,1.0513721572266597,0.7251367329924969,0.6391481236959774,0.5042512784696355,0.7446535540299407,0.7223068193444203,0.5469608355130642,0.6077516560449051,0.543703387958868,0.6299555669742701,0.6676505953260917,0.5870323794778173,0.6808277529227541,0.7351513870800022,0.7143295110983537,0.815464966068332,0.7837478300019636,0.8864936217122349,0.8042181528039768,0.8403157696020197,0.9770156931373866,1.0211013934558084,0.929640108884979,1.054917620290626,1.020039888225943,1.1507619754774574,1.0427594545984868,0.9800691123283135,1.0296155658659971,1.07593280714601,1.927978559685212,1.1876742007391394,1.3664576996350803,0.960742089104446,0.9391643044777265,0.9354837924222068,0.875117593693013,1.0211500825641948,0.7879024862452944,0.7809933461162416,0.774670540364242,0.8754378307028805,0.7163631976166526,0.8017476018809387,0.9191637318001427,0.960812194134596,0.9344685765972612,0.7055429393866216,0.667589827709957,0.6788869622634076,0.8103576512785093,0.937269170120236,1.2122797750501029,1.1229977692956852,0.983571790001675,0.970018968627554,1.0831047746173912,0.9877363256956595,0.9496290065840545,1.158122434406933,1.2701696923544905,1.0548851337387821,1.0913967001212244,1.278427027360458,1.2951631850294403,1.1048445028634777,1.1735728640128231,1.0243834360219581,0.9942517759867048,0.9100895935942259,0.8914626798259231,0.9526974613933722,0.8680085752658159,0.8454432668885032,0.8947597206648742,0.9171841717250153,0.8232236679402881,0.8849001772353132,1.1311185053295763,1.0274090730473604,0.9851276909471832,1.1220673141312663,1.2647840223488025,1.2813766486164058,1.2509271261120851,1.2875651067811933,1.2263728572278585,1.3734080777289437,1.038917488320586,0.9166934069265754,0.891523143584065,1.0097439028465551,1.0306383684472138,1.1325281981075885,1.1151831061810245,0.9693238926345722,0.6340025678735454,0.5507950472380039,0.5220474793891087,0.5632247274694357,0.647752024437903,0.9695878243522477,1.4280937328385508,0.5804672438943052,0.8997538589583244,0.9266607250905798,0.6941009422223554,0.6858953159134811,1.0257420604370828,1.2749459408936958,1.3475260917032756,2.5756892758594563,3.510025009047043],[1.5779765681109272,0.8537888131752465,0.7722935976394812,0.5893894549183475,0.6244454846416958,0.574539786580866,0.5234550351262026,0.6259418314881698,0.5409490324299575,0.5227320811704474,0.5610069340254745,0.6029510838335869,0.5493289040567207,0.5537118559211958,0.6676719207234659,0.6246970034180488,0.622633539871401,0.6553077216014337,0.7073901084959433,0.6743058527505598,0.6696557025200992,0.7833086247298067,0.7604731165324535,0.8979178865445566,0.7208538294169444,0.7219877024474105,0.6210540638394482,0.596832767263008,0.5986235568694029,0.6129862277203803,0.6683822547594036,0.6537344660600197,0.7005519669364464,0.6852926819965702,0.6486499263556282,0.6220377207542244,0.6050611735825046,0.5636978989373923,0.5497755142611314,0.5497428380602766,0.78679521210774,0.6642093267470668,0.5955528564766266,0.7393703653173628,0.8660296470632314,1.0838645146954458,0.9595218547913134,0.787023250467356,2.066314910740415,1.9609240290765986,1.127592443344515,1.8698410972352675,1.3225778546032116,1.1558889636841703,1.6454027564285774,1.038835791900788,1.2410403658775275,0.742810225810844,1.1344519132481228,1.056917936688459,0.8522185782554099,0.7815193846206014,0.7098428583155045,0.9273747445815754,0.729685852382478,0.7137938053628171,0.9041419010860273,0.7677812574217509,0.9032660624735649,0.8079399709016232,1.0720750714399876,1.4118016534539162,0.9635587453081781,0.9936346654274573,0.7452815265961791,1.1642841423661876,0.6915478938618194,0.7058857892080295,0.6554876077591849,0.5979683353918563,0.6136109228316843,0.6738253905823003,1.3607286718927665,0.701909100576419,0.5943882138740852,0.5930414464724483,0.5899339347017067,0.6647568432941773,0.6343708638605625,0.6987236296776138,0.68306397968381,0.7924108562257487,0.7596950290184149,0.7232648929303951,0.6969166224353196,0.7749442057163757,0.8056191705941484,0.6896571910455388,0.667742222441026,0.8983931678826661,0.6835568001861461,0.8578829383314466,0.6909991577204367,0.7652303742892322,0.7856009309040214,0.8119191326668543,1.0993376133264974,0.7435263997385748,0.726740082448508,0.8617955492074212,0.6863441105378333,0.6097196719693909,0.5666606923737862,0.6098354151265778,0.5710034748912005,0.5957836273759143,0.6126160276016323,0.6259473864234344,0.7067402172582185,0.750458666756163,0.6766385848175638,0.6194293842760661,0.6462037733879087,0.581053339988008,0.5706466667243493,0.5774990557126913,0.5686033941610048,0.6199536203102904,0.6237461178279898,0.6858539770734516,0.6545997962031967,0.7373087122027056,0.6687298728039037,0.7615582461892475,0.6685739301698439,0.7371769367237879,0.7406191150988927,0.6176517098266352,0.6422548209755005,0.605000984421456,0.7420861071147873,0.7314149047152603,0.6490581954318907,0.5951579127763267,0.6010653812102587,0.5893054841354826,0.5602844852389207,0.5696252518821309,0.5728936327195581,0.5914929469690332,0.6715325670262197,0.6527817956469981,0.9883936216919675,1.5120457767216229,1.137775260947381,0.7545017475278214,0.6599967332442729,0.6558122500618362,0.6130334874155104,0.6614217212702065,0.5720442420474924,0.5686773572960369,0.5773711197714436,0.5381464451394986,0.7195710952614637,0.6554587206790781,0.699551361339147,0.8559404329883387,0.998370371847511,0.9020594116064425,0.7374222986370104,0.6250091807469038,0.6074306691213657,0.590980017612156,0.5705609773115377,0.6365868051126137,0.669179600085106,0.9263048513128253,0.6423000413617111,0.7082289907497684,0.6079842664992638,0.6407246276014216,0.6481708121341522,0.6287334442528315,0.582173990791802,0.6108453099288224,0.6988654404889002,0.9194744435806995,1.4420238828297849,0.9284993147371925,1.1433165849038578,1.108304069699985,0.9000977228473774,0.8299617544952855,0.6856534389232173,0.8198578093899489,0.8997773053048835,0.731132691836291,0.7762863370555806,0.7528160615776279,0.8645771215240754,0.9205521960896361,0.8114429218465672,0.870277359776856,0.9996847740800864,0.9790424280955323,0.9328415588060857,1.0042794377448412,1.178830062602779,1.0535000753058328,1.0908145541157215,1.260316919107383,1.3040853988212726,1.1834719150616018,1.3227968336177278,1.2251972891150424,1.4162614514556562,1.183939719304901,1.1800581974852495,1.2556881478133932,1.263881178598864,2.1847419515045807,1.4065783912948433,1.5610352826203633,1.2780960402369383,1.2496284833016362,1.2058753299744551,1.1341192342862028,1.2003013869785977,1.026351278613318,1.054752186411961,1.0042779905784012,1.0588537643781712,0.9307925272854423,1.0032885899045527,1.0008826725717,1.0410830879016724,0.9634440113040841,0.8666281771633949,0.8902175826908695,0.9535974350092602,1.1030742924423207,1.2278414629021448,1.487380717763347,1.3433577522717994,1.2256876236679657,1.3031081201602202,1.4117529722187663,1.2715604656186925,1.266525627632119,1.480563133067904,1.5751410445121583,1.3672667501287243,1.419156509098124,1.5954470820893127,1.5843299326644977,1.4257116973020998,1.4820845631506243,1.3416190613490468,1.3230202891195684,1.246592417423992,1.2253863128122615,1.2258856217086975,1.1398895063077723,1.1002243246936256,1.1337921171224445,1.1334667631068114,1.010086994335225,1.0565406315354682,1.239893047142945,1.1447913228561462,1.0772484370838038,1.2172620739433977,1.304280176037221,1.3210318436072244,1.3073912991149215,1.3131773265305393,1.2544269553060032,1.4917335967936531,1.1356193681756237,1.0366871829899822,1.0011641483619043,1.1143545519598492,1.0946895455363024,1.1410654940194558,1.1469380781232945,1.0201126354528578,0.7564649323530275,0.7259398215118158,0.7080255404037936,0.815384684757104,0.9492799096067357,1.3095377523064753,1.6033386410966506,0.8594195265006433,1.2454926403958215,1.2159983706443829,0.8436306278978511,0.916643255602802,1.3504516835472415,1.6376125156535262,1.6107127807023058,2.9178276943673804,3.9725690904757],[1.6145496137341708,0.8646433462577785,0.7003051788581041,0.5431081245833078,0.5550864383738687,0.5082606587809599,0.4557464262494842,0.545252723905926,0.460727573333219,0.4722485736001412,0.5258647118974945,0.5864431731031486,0.5109855828214684,0.501316684236519,0.6518366708050832,0.6001919156023304,0.5865453674549659,0.6472399388482178,0.6993709134514431,0.6340525837104197,0.6537980334117105,0.7545395297684816,0.7637547998193025,0.9130919448493935,0.7099676110790764,0.7177507665339543,0.5874584007825637,0.5564887504414289,0.5683839391723312,0.566179196096483,0.6607029947308676,0.6518482578503221,0.7599125007035449,0.7376262878041046,0.6579243620464981,0.599582867477807,0.5753465762532056,0.5568320932472925,0.5246901266630165,0.5075801156079471,0.7720802126225863,0.6899407042564297,0.6632039323911161,0.7850400063625965,0.925610339017098,1.0139498292300209,0.879938163708895,0.7984033837179005,2.062752863668875,1.8458257497499195,1.2116564969881443,1.7823541006087749,1.315017995888101,1.114912389147574,1.8559006771530944,1.1789725520589618,1.2376154636916745,0.7632943456464201,1.1950403940925969,1.028778103951241,0.8208834656785385,0.7774873445787783,0.7235517099264754,0.9862073910678746,0.7431159604854831,0.6959511547012884,0.8486651510017351,0.7420990227235195,0.9293422527595052,0.8153731197381717,1.1022883088696585,1.4965093534873917,1.005765605312973,1.03163572365019,0.8139920707580994,1.280565062107175,0.7186015843350861,0.747451153226958,0.6678667317833248,0.6515945046368086,0.640321433123791,0.6760467077357541,1.2651589813147326,0.7049467391409827,0.5849653736420556,0.5749807069128235,0.5900373302650714,0.6102572701792862,0.6029553915945224,0.6996510135444487,0.7364414715869525,0.8510029547328241,0.8150071125147713,0.77741933106277,0.7222875373625552,0.8212559371745368,0.8017959159065836,0.7310548105663734,0.6897498823505207,0.8528093568547048,0.6803512052937163,0.8016242555586681,0.6290923881323862,0.7020358653539399,0.7097426168795257,0.6817831025334408,0.9337405398322617,0.6733627002948798,0.6721201409649038,0.7765331123647927,0.5931115290620557,0.5230341546738394,0.4843111922016483,0.5065059327626422,0.5060651256134814,0.526468324560449,0.5615377919602292,0.5863507356513931,0.6341510691237853,0.6752683800694336,0.6284288381537864,0.576419455892804,0.5609643876448446,0.5230284868040067,0.4671560996198819,0.4964916477417974,0.505186486118301,0.5466827164373385,0.5313508511353879,0.5742475893772789,0.581909339136608,0.6503826924847823,0.5790586151443236,0.6652715334750371,0.5861947105888146,0.6256103694870196,0.6435247915873188,0.5539074159452062,0.5909561980529001,0.5417576492541416,0.7358017139199007,0.7279934794572177,0.6198085847591108,0.5351787533760337,0.5450535509023081,0.5367987250332612,0.5056393096646207,0.5221744342521939,0.49867771649742143,0.5214486857918373,0.6085055406933809,0.6099170225156253,1.1039673849907936,1.5035643299164732,1.0263393536862264,0.7396808757858804,0.6258517913293332,0.618495684139429,0.5605422234296181,0.5972740865658884,0.5244109343804577,0.526333694322225,0.5174829890745501,0.5034537237972191,0.607056667203537,0.6017471240138402,0.5820237089382801,0.7277180875814684,0.896144889001751,0.7970794426497282,0.6398857307864798,0.5533997443464936,0.5213426449087252,0.5247700088368079,0.5166011411629131,0.5578219638550946,0.5607322472494262,0.8283190931057733,0.5799853384911758,0.6162440618469542,0.5546492686734209,0.5652443937975308,0.5684299013135462,0.5733137282157175,0.5626311678563691,0.64754012969048,0.7701174965879999,1.0159856950982653,1.4807102223006994,0.8333308877798586,1.213000396939635,1.0589744739280875,0.8054967573987941,0.739222313493471,0.6079963353455533,0.7425756944972149,0.8862971629675841,0.6594169436337011,0.698787006124962,0.6767967883641722,0.7670534384432519,0.8128060989987355,0.7233466244254672,0.7899574054766797,0.8840309943448058,0.8537353525641318,0.8814560667434395,0.9138155917925307,1.0369077713474986,0.9368303546261982,0.9927459884578106,1.1272654776195523,1.1450625191898964,1.0888858397620123,1.213544290997614,1.1423913346957053,1.2871099349600343,1.1242869789705243,1.0719530167556515,1.1438077305181618,1.190712779724125,2.1691334109600997,1.3070971344194267,1.6571949029793511,1.1347616174767032,1.127798152021513,1.10157530891282,1.0367704395263653,1.1141515035633016,0.9097001009006386,0.9324163398620259,0.8791271744935912,0.9372416563080427,0.8121816377229965,0.9543533388637039,0.8985814292402666,0.9950857524130288,0.9364810270985331,0.7937266039740223,0.7965915311592101,0.8401866309371364,1.0035156448161953,1.1226924697296483,1.39340631814329,1.2686644235272866,1.137853431822204,1.1202871476215104,1.2492465935066162,1.09953732508704,1.1062906848647527,1.3024339267885057,1.3806218232591918,1.1830917189787604,1.236718308544544,1.389437676220345,1.365440289963226,1.2492519836899034,1.317487373084102,1.1894920571898528,1.1645960381828884,1.0809802032719735,1.076267363162604,1.1136609442531678,1.0301412151038774,0.999918994612407,1.0339933569283768,1.0524842954387703,0.9504809214966323,0.9980015860205032,1.208647862075192,1.111416837704256,1.0151449653185873,1.1210916060188654,1.2041074108181766,1.2688187155863284,1.2580828194952995,1.2868127213550222,1.2419194057189635,1.4767137744709156,1.116980401341629,1.0049198696810302,0.9797225668372738,1.1195684398579078,1.0986096927727504,1.1371915691505823,1.14067562492169,0.9735562782087259,0.725002315507321,0.6716241489129644,0.6464314327532075,0.6988913426224976,0.81630344110202,1.1700445485879314,1.528644225487032,0.7252912454069452,1.0775791433232187,1.0564314883667631,0.7370600220668898,0.8936549013464541,1.3164996040044477,1.4270257124331984,1.4587617267186612,2.6359379289083735,3.8641788689196392],[1.5078852930081361,0.7812583084067406,0.6158082658309644,0.4837027163954901,0.5497911450038495,0.4900392638968088,0.4263721414221902,0.5530276821999042,0.43123061006716024,0.42898794830098824,0.47412977785894295,0.5475835059397903,0.46676180294510383,0.460639036124558,0.600493250671938,0.5479305525009486,0.5281397400820392,0.6051635953208957,0.6952194106401021,0.6102260125352076,0.6522824136476004,0.7123643619865053,0.8035430165057885,0.9842738480673424,0.698212387579968,0.7171588569934771,0.5679089575756552,0.5110398659485625,0.5213757702200134,0.5228332489627291,0.6115500320654069,0.6217200564382238,0.7214229938184573,0.699550704603195,0.6252015076484106,0.5564044566487696,0.5519291208717104,0.5183925666200482,0.4873682460037814,0.47448431717783945,0.7302069805261238,0.6764113603570251,0.6398960792757806,0.741409359850943,0.982236660359855,0.9953572610344275,0.892852152884015,0.7393884016954106,1.9559540251583067,1.7434934288695125,1.1467798253748083,1.701106503300645,1.2720162859260498,1.0776127516395464,1.8480624988560759,1.1357113740150433,1.1824563869771665,0.7504320298747205,1.1845714229797177,1.0037430113590489,0.8481923358909332,0.7592146562194593,0.7093426191531679,1.01256865474277,0.7367709357504236,0.6731250785137,0.8444039162646502,0.7181786929432965,0.9417933955355433,0.8086404119100394,1.101250192790877,1.5291869965465412,1.0191414373731909,1.0729350703432232,0.7838396077744697,1.245256096979151,0.6830302167309694,0.713414814720632,0.640048927795752,0.6291560562940923,0.6096991896964987,0.646335483627704,1.2769955658405652,0.6852522072091243,0.5530562990550961,0.5448294180101079,0.5440000301134269,0.5975900344368558,0.566551274611651,0.6707648562107508,0.6963609122535729,0.8181307782171056,0.7814068352282522,0.7318142972004372,0.6715713221395931,0.7685030244327474,0.7385180050999046,0.6909081712170774,0.6654920086562651,0.8764680090875556,0.6836068233947998,0.8292171572898627,0.6430686378365759,0.7361023236463694,0.7350619284387149,0.6965282429391956,0.956995518520658,0.6951008036402987,0.6852300012385454,0.7995732072562663,0.597718519875614,0.5121292429688551,0.4662562529618195,0.4741875849482766,0.4516964232499492,0.4706651012141654,0.5128574749626031,0.5449355860453892,0.6212266465392078,0.6319771450418993,0.5789813246723247,0.5272422407231028,0.5339831444793852,0.48300718773097373,0.4463633258106509,0.474600173825184,0.4807408739658709,0.5231689357040561,0.5157133029556504,0.5651095502808727,0.565371342861872,0.6580912340893624,0.5551692313334808,0.6611252721868874,0.5414679306312199,0.5739726661064624,0.591991689674259,0.4867229322378117,0.511926068797024,0.4683998861919937,0.6999681003870339,0.6948947714681382,0.5675134169004934,0.46807340350358634,0.4869554949551038,0.4934564203977272,0.4521790214329053,0.48865407543023953,0.4784233231384784,0.5111463833916023,0.6320018226117561,0.6415093082188663,1.175065766849327,1.537163951481757,1.0411053268218196,0.784813419681068,0.6333556907237802,0.6422191284904695,0.5556234223543847,0.6044738188769653,0.4941181804171623,0.48736793991156624,0.4468018654996238,0.4489070773320237,0.5270180962038671,0.5756177206188483,0.5424468994154142,0.7000420413790637,0.8626460819617279,0.7579067617765414,0.5875756648978908,0.4837733702469939,0.4661842512161906,0.4824424873616236,0.4952729952203764,0.5596483748070679,0.5496524770244889,0.8468581588691614,0.568416598146479,0.6290882278555034,0.5285645564499992,0.5582582145000525,0.5602179382215422,0.5610259395973746,0.5381469182011052,0.6465951903470911,0.7678365304734686,1.0143533455637426,1.4904498224499092,0.8438700679503165,1.1632767637877008,1.0768752505740593,0.7725158948450512,0.7079766336634005,0.5882680318009054,0.7477595950305044,0.8419720954551848,0.6642960506917678,0.7177852254877142,0.6978090229124867,0.7932714286060069,0.8436799153176685,0.7514272243792016,0.8119091336363026,0.9006727922253246,0.8658629697559244,0.9003561968509131,0.9340586412774745,1.0426463206168834,0.9389801121919145,1.0014227367775597,1.1309941008073012,1.1309802724873328,1.0900184248448945,1.2128138332156244,1.1559679879433282,1.2845374320943346,1.1501627882373069,1.0946865137453725,1.160879298613121,1.2306248864268166,2.088383716681384,1.3511515581203724,1.7229777609626722,1.1372176502187232,1.153832197452035,1.154810266915426,1.0876072610986471,1.1822009499438655,0.9440202712261795,0.950122522467566,0.9027185477026409,0.958381918081105,0.8340081394423902,0.9567715652254114,0.9328265649864305,1.0183385707839907,0.9682708113475832,0.818504410690631,0.8130192119635914,0.8448067358397764,1.0138927287285002,1.1183254440716774,1.413866452250465,1.281682730222864,1.146771320233273,1.1198850595430967,1.2303003210899515,1.1073472422745005,1.0995114779876045,1.2890971416309145,1.3602055102976431,1.1713037631899947,1.241222886250984,1.3907607077497843,1.3560778647944667,1.2455454636678278,1.3277765385605012,1.1987962047198726,1.1815419810524506,1.0917656305689147,1.0948538143419624,1.1531903084054642,1.0602858615389559,1.037706531935079,1.0708701301369838,1.0846085569128845,0.9710808619968003,1.0345542294654728,1.2541993548580581,1.1250312870249566,1.0272844893923112,1.1510934375488193,1.2377736463661755,1.2785244266763998,1.2698020516121409,1.3154950251203132,1.2436405175892882,1.5119494497718986,1.111196469365958,1.0274181980161403,1.0120577481766722,1.0945067788116338,1.0973217700952531,1.1449334499204487,1.1257418738277638,1.00913426282633,0.7222522821652114,0.6797471554498324,0.6425677725596819,0.7164352196338231,0.8093138513631781,1.132102747135366,1.4841556587717861,0.715021258407015,0.9927799503538132,0.9721140078503634,0.7066699106686104,0.8780701250453846,1.205126871226408,1.3538127604358328,1.5684031472728073,2.7730892212239193,4.104649599753996],[1.6693669548411398,1.0280977761008316,0.8677107082618364,0.7229678761343061,0.8177121901200878,0.7340378066717081,0.6808840802434611,0.7804094786578984,0.6606302711275415,0.6073976760703774,0.6330286620083909,0.7600698862601116,0.6567061763721136,0.5768136048619883,0.736816545698118,0.7210236772753825,0.6711028798438692,0.7071750868384008,0.7154842562260372,0.70145798209877,0.6955589531996021,0.8509253690862654,0.7915623647927256,0.9117848454551418,0.7570160074537037,0.7523634815750715,0.6705008639096371,0.6509657372202943,0.6766175771708431,0.7258301227943194,0.7623214801421698,0.8230761481667953,0.9388605656806805,0.8977489402968668,0.823234047331018,0.7441278133289787,0.7621799099399006,0.6938627242412719,0.6661935838427179,0.6856230073697911,0.8976361289024982,0.7767891865211968,0.7567325536339681,0.9233415687187407,0.9550816498856561,1.1733529578643753,1.0079472767893627,0.9545156139153805,2.232082251636807,2.1062286239771537,1.4031465731385666,2.0000496761537394,1.4588690070555035,1.2366508369415001,1.9593567333197726,1.3369856845659942,1.3524878128072304,0.8709758507989056,1.3167956636685583,1.1033397464845496,0.8180827628202295,0.8078214388532649,0.7827881000229887,0.9990784440342008,0.7932816492234388,0.7551385511881188,0.8576085903085093,0.7791983925474316,0.8999227725042047,0.8222511069646353,1.0526918897962403,1.4376213788007264,1.0088076762551872,1.0348232689530623,0.8504297064859027,1.3153337471092341,0.8065278908992838,0.8682927957871405,0.8060390032591549,0.7848322721611466,0.8370812200113754,0.8580084309922257,1.352890933781865,0.9143631295920917,0.7594820567331788,0.7569518643830893,0.7561326342605109,0.8112747541898767,0.7469753755451352,0.8532632204856465,0.8525833566118393,0.939056117438512,0.9005317215237927,0.8954264136477385,0.8290687446232422,0.9089285364318997,0.8887901461961416,0.88885019397182,0.8762068462883402,1.0015539647420764,0.9198917860079934,1.0294526224219134,0.8780531697360786,0.958008519165701,0.9439048616727317,0.9200347884270306,1.140300943172787,0.9529964251609699,0.9262865411632974,1.0340968138110862,0.8542404737978627,0.7646235327752647,0.7057231293968449,0.684530373975365,0.6170847464570661,0.6114542520940005,0.6333892821453093,0.6135097692858251,0.6388089009290019,0.7244514410747046,0.6450867558192982,0.6068231898902822,0.5957926186739101,0.5998663629898378,0.623454802207743,0.6872905345470117,0.7317142085957394,0.7611720212703491,0.7889746530596913,0.8385583385753964,0.8507432434297213,0.937400993282875,0.8434714337086987,0.9244304366685688,0.8215821555899024,0.8192278151624132,0.8178679528601595,0.7201417267000966,0.6652346765056747,0.6397443444986585,0.7536363060149203,0.7463504612561407,0.6715835398590638,0.625934467282808,0.6846174057141012,0.6756207927244836,0.6459571854197032,0.694133313658066,0.7286764369992231,0.7526170026750931,0.8728504893725185,0.8722066214131914,1.4197863499585528,1.6122790224162535,1.1015897882909198,0.997911473761948,0.8854800632318494,0.8958960909381161,0.8047048611896782,0.8705407051452416,0.7685578397415449,0.716030284674292,0.6643860551294568,0.6811740448874053,0.7726343852675684,0.6748665288754017,0.7709808885612071,0.9037570799630672,1.0589360881908119,0.9358857752923532,0.8138346997059401,0.7133668088770803,0.7275093571667295,0.7496544077385476,0.7661364049546121,0.812309610239309,0.7713031932210214,0.9947447249649578,0.8025944355506521,0.8149366979912624,0.8001230362767151,0.8297031563939675,0.8507537630579414,0.8495889551298086,0.8187616716929992,0.8387563297085796,0.9237331575974582,1.1122933992696955,1.586517367943029,0.9973466727223774,1.2602039156691138,1.1447102942916516,0.9542508251535247,0.9210877584478463,0.8395203132431518,0.9524248523817159,1.0028834050559887,0.9379327908649273,0.9820459793789839,0.9751791052823888,1.0432999754900936,1.0835755359856203,1.0116272043879329,1.0520124788733447,1.116909407580065,1.0773450655639545,1.111182259557812,1.1557031568879153,1.2144792611663835,1.1339233363545334,1.2080724205816955,1.3041211075248764,1.2855141795005165,1.2832282028538018,1.375808702583968,1.3384536677613583,1.4436341688677339,1.3409484729728107,1.2852802348091166,1.325242942162022,1.4210367507251302,2.1176201631399696,1.5380756136972196,1.9000368397564715,1.3041905743950537,1.3470713372661236,1.3860147900433362,1.31986145718672,1.4231403444877913,1.1734090332100513,1.1757656525112261,1.1277016663813604,1.151128014070568,1.066209401619152,1.1531128361206517,1.1515133790628345,1.226807891890446,1.1751060499677792,1.066073459360601,1.046267999440581,1.069504457085855,1.213192926752162,1.2742387278638831,1.5813526074272777,1.4332250172096852,1.3183945691012697,1.2611220314572325,1.327711701356673,1.2598398860142568,1.2463882587521198,1.3862433504196965,1.4483719542738411,1.2941933092927178,1.3573572276157413,1.48051724546463,1.4631678146481675,1.3686622133605992,1.4414291756940938,1.3430720623589016,1.3267556266818843,1.2416432983782872,1.2616277017339348,1.3340540531351661,1.2585376471229628,1.2454542551358472,1.2736657750149327,1.286504184282257,1.2020625239190625,1.2518970956796813,1.445673443550998,1.324252269621773,1.2266993430610185,1.352930983652401,1.4013661655519423,1.4513605872241209,1.4555430967333027,1.4886545962580504,1.4234315319154554,1.7417414822755342,1.3104081678143313,1.2373755234729142,1.2438819518806028,1.276836021834031,1.2760601525163064,1.2956565091011103,1.2726242083895103,1.1969671053626958,0.968509166641503,0.9464220747854422,0.9156162903273399,0.972344843075509,1.0242602669187602,1.2581675610178547,1.524210819459852,0.9363757518733122,1.087605045037665,1.052098585859649,0.8825586583001693,1.1020941985565857,1.2441387016598866,1.4021762011211978,1.928228326215497,3.1355007968504247,4.536133915871278],[1.9333288446774561,1.3842844357997108,1.239317333488878,0.9791852007604642,0.8845525060554781,0.7964491772082114,0.7335254635987565,0.7900318582216729,0.7708801755443607,0.796813363999038,0.9079048118610364,1.0234576243147204,0.8980001713555499,0.8716826264207698,1.08295101930073,1.0163509127761106,0.948890762134656,1.064943629454287,1.0750547774756547,1.033309805233355,1.0492089320316342,1.0587182107006403,1.0797224162396986,1.154872823068929,0.9691378256500233,0.9838068833061011,0.8699244625864746,0.8380534109569369,0.941930951963547,0.9457696474797117,1.132416483853648,1.0895812804653637,1.249656311937165,1.2717049882098803,1.1208643717016773,1.0309712334412902,0.9796410808199747,0.8821040639039318,0.8234656321766922,0.8170004422243461,0.9599915713299003,1.0029568165258267,0.9705018361015793,1.1089719412742725,1.1305396872264417,1.3037667208593586,1.1761177542302912,1.1375560783296668,2.363238189489492,2.2381933817388098,1.533368404871187,2.068995416131394,1.4995229568509514,1.323079833942803,2.0318997828015566,1.504427816733167,1.411506438386262,1.094282287494457,1.5797266001711456,1.3694982620141705,1.1691155687467587,1.1883782745487053,1.1874891047793104,1.37747858436979,1.1306852044137348,1.0811597253663026,1.262890352548892,1.2118489905804233,1.3286561999168647,1.3003733953352117,1.43768532072979,1.8419782397236337,1.506393947370527,1.4847238196598629,1.2794734335698565,1.6503490364563855,1.1837090407722644,1.2640703335520107,1.1520850445273585,1.1129766132408994,1.0549019247028617,0.9751643067000926,1.3399271644489597,0.9542439676315718,0.8965525405381064,0.8954585139294536,0.9161794457837983,1.0016976319458513,1.0536049700168972,1.248827622400803,1.243014420141391,1.4103707631350422,1.4063318452590918,1.355377978237144,1.24864441445746,1.3885253667396085,1.2666716909140041,1.2389420932079913,1.1527471450822884,1.2098749168583105,1.1029199669265186,1.1130821158103994,0.985090276949458,0.9790163014395132,0.9678641343767027,0.9168327968253118,1.1918273304598879,0.9444980838735226,0.9313876390810539,0.9687943820773298,0.8589407625531675,0.7823521557637207,0.7449836324647041,0.7536371898830597,0.7772403900798496,0.7278204115087942,0.8134910801376758,0.7810116995157539,0.8595645013276888,0.9303196961394457,0.8637519436904,0.8075447758943226,0.7631586239825873,0.7531885455094379,0.7320099627361116,0.7677602942513627,0.7690403935378556,0.8298207613894829,0.8602148731553405,0.8763028668295474,0.9209897569528862,0.9835462561461834,0.9082396262121794,0.9431678442016378,0.9025509890244465,0.9576355328010011,1.0023659240883698,0.8620470195902354,0.8497858668047823,0.79297077534265,0.9267241975466448,0.8535610738166393,0.7892808943003785,0.7406936999722831,0.7519161074514027,0.8043458055542698,0.7567399811916241,0.7936467637745391,0.7510012259089042,0.7834452174737316,0.8488327413659046,0.8658638519888202,1.2552169437000615,1.345673822827839,1.156961192038129,1.0661803384668784,0.9941386390344588,0.9209714044647499,0.8848647906240625,0.859567941981296,0.7802604604165231,0.7856250178384877,0.7913866839695667,0.7724346120206821,0.892957452291997,0.8650186804303193,0.9008134157091118,1.0501581221057128,1.199899024269894,1.0894802015783702,0.9684128942024097,0.8577298840563622,0.8367389084775472,0.8255508625014905,0.8063411628997845,0.8379014393280416,0.8746543127178781,1.0693551813570854,0.8371338684283841,0.9304154187101972,0.8328803549048783,0.8520954225360071,0.8763537789658106,0.8674364445962511,0.8304579868277776,0.8994871442623297,1.0373514797502645,1.2204188337479047,1.605103858073128,1.0713567551420315,1.4249525487639456,1.1047713941443518,1.0407913851444257,1.0168988431775967,0.922111115181826,1.0297499329230766,1.1517592278504833,1.0491009025785032,1.0913272716413147,1.0239661092159849,1.1557257844344724,1.1447023464340078,1.0426945965062755,1.1469656206972685,1.2436869793035592,1.1760764080838202,1.149638341377107,1.2742425800868162,1.3525236765529003,1.231845793633751,1.344608822678809,1.4640143711155904,1.3943383233646018,1.3915050703432639,1.525631192399462,1.504222297170032,1.627947194755727,1.5209778604243456,1.4517058364052038,1.5119986351203971,1.5360267722679584,2.4346725722871176,1.7192994264564772,1.953373042780323,1.583709902421346,1.5487254439569131,1.4707300291927075,1.4165441910081407,1.502209346695133,1.3609132357410751,1.371794259335309,1.3496069313809262,1.4075839557097594,1.275572553807729,1.3617117460369608,1.3203829947148904,1.2848252493027505,1.175741934149164,1.1487424358185645,1.1860370064425012,1.2524212811911577,1.369100813112737,1.4091266691619158,1.6587219911647975,1.473320371024542,1.4133038407030212,1.4563011902157514,1.5274662449813075,1.353032699546104,1.4028111441072342,1.5561443110216702,1.5924213320776814,1.4812210851397845,1.5435008498770968,1.6476242450787677,1.5920707808110182,1.5473645751393734,1.6352123190740568,1.5352757647721627,1.5178633880662096,1.4394457761347794,1.4556328564755439,1.513011017984942,1.4047099424636194,1.3795604208291747,1.454146629988366,1.454404942096367,1.3152978300993652,1.4027310824480472,1.5534592992711682,1.4133945001656538,1.3127984019759804,1.459676461078115,1.587411978874979,1.5610065374909547,1.5660624620624128,1.6637947308555343,1.6515857554334004,1.9209056861504599,1.5340240992937701,1.3422199050181038,1.2629228209055514,1.4224259462077922,1.3214143529996685,1.370963817949685,1.3643658139780173,1.2155791907711622,1.0645657583217676,1.0034032321438688,0.9423768103127135,1.0599305746664818,1.1457208520723172,1.4979260105370973,1.5035668112780047,0.9867447944461493,1.3735671350937964,1.1461497109476142,0.9839692463602598,1.146482992180383,1.4662849648151788,1.6167001805398005,1.9344437474277694,3.1699357372948165,4.8204413803906725],[3.0074438650442477,2.6436155077271253,2.4593119794424076,2.1806473971011604,2.0897698924482326,1.813601111252415,1.587720990686941,1.4828154499003754,1.2344637774712133,1.1668788595704305,1.0392678360414287,1.1012112516713528,1.1174117875373482,1.051909610376094,1.0787655664654459,1.0844132691504376,1.132896366258268,1.0796905154484786,1.0773873221010024,1.1212738210891615,1.0864777390167308,1.1803787691262404,1.0964374213409833,1.1922424895908335,1.1564401009153449,1.1273719702220228,1.2129961100898872,1.2045375552131965,1.153706963394002,1.1825231929632163,1.0917227235797093,1.1555656065923559,1.2566736759167279,1.2433537338504244,1.1783404029623832,1.124853264017999,1.1823212104520684,1.164122328914188,1.2895774548208112,1.3343443058452173,1.41115431342686,1.1508779014583002,1.1837081037451307,1.2189232255733302,1.2950630357780961,1.520657762989497,1.4846011934967969,1.388002002667988,2.3977969506440298,2.4382258763130804,1.8963580904309887,2.562551582882103,2.079065253565077,1.9159547406998452,2.098448142361652,1.6622021525036517,1.77640180331993,1.2913034717640066,1.5356312536273078,1.3181571234588765,1.2537519406403015,1.144760515610721,1.1257411329971847,1.2657527749720159,1.0983784467568454,1.0859891807679254,1.2387924333797455,1.1445672982867707,1.1629728998987432,1.128126306662673,1.2947718612043224,1.5685344772838343,1.2637552600015578,1.2547142575842407,1.1076064202475027,1.4323925184442283,1.1286804246554318,1.1957051172496225,1.162289718265602,1.1954797344106272,1.2392214526091463,1.2761495363029458,1.8354789770617448,1.5577934326977485,1.3243397430691195,1.2526992997870219,1.1875645586294918,1.23832920389047,1.1582752885507828,1.2415209622239676,1.1783852520366593,1.272323508634695,1.244286626612057,1.2531473098654622,1.1583628289924892,1.2776364791621195,1.186971523341367,1.207054335094688,1.1945325569334104,1.3873734828101034,1.2618108635616727,1.4055643488705714,1.3313242404927648,1.4884013499244617,1.5576811318389128,1.7082455248805477,2.0189792081803244,1.8784410792577122,1.8700723227736327,1.8476396637733479,1.7731887277014495,1.6159086125735964,1.5466301061970338,1.5818708173223317,1.3330265748440915,1.4206877157198008,1.283537758777157,1.3792359174417042,1.2235316106966543,1.2104431161910827,1.1628595547639435,1.1675503676563521,1.3880740208370688,1.4464820043270417,1.4991430515408486,1.6118878152507714,1.6776283656296544,1.7002269472787452,1.8444991770907102,1.8451078839267638,1.9869929414659357,2.051414664942569,1.9736937963482954,1.8921737997905503,1.8697651451336226,1.8239074842540888,2.04440808904787,1.8569151517927949,1.8277638884428185,1.6780713622545513,1.754996168309268,1.6082669133924383,1.4408883507209265,1.4619373970630438,1.3522174881875457,1.3173607738923452,1.365884885888344,1.3238875447250162,1.4062200033717926,1.3801703537449173,1.4602509883875934,1.3183250554133683,1.4809377758110671,1.5941315802915241,1.3966500213757282,1.341748945570758,1.2597966998151529,1.3612371928219265,1.2667665843304063,1.499406689025618,1.5068390004064585,1.3807554358537066,1.5406714251422378,1.4137279082051875,1.8143301704355397,1.5864176797969125,1.863208436042341,2.0236895371134307,2.1776974830072957,2.062633285409139,1.9577892354843087,1.7557961805937858,1.64926933301719,1.5342506456522849,1.4479090411951534,1.4579725329382873,1.3375957734927524,1.5112378940923061,1.432813509637651,1.4616766541980402,1.5190509842479796,1.629598177140054,1.7338895824695955,1.7365462390727513,1.6563553300626996,1.453452954150117,1.3146855133092366,1.524813718324908,1.775779079054516,1.560557394980001,2.3755868911405593,1.721336748262067,1.9629800793847958,2.0076842557123555,2.0107640310075845,2.0620302308616916,1.9908087911542247,2.1101136487243837,2.1875025280288996,2.060558296344547,2.1728784066467437,2.0962987474720802,2.041942735409058,2.2049870988101357,2.206169679587641,2.134012103893386,2.1812170308780074,2.3143999269209896,2.251913842856989,2.2145383390586844,2.3842325397939064,2.405585156199789,2.2816955172240734,2.4224312074001313,2.5136977175799338,2.5588994524340802,2.566105054185925,2.6326114177402697,2.504874366010702,2.4844741717881984,2.389715571653789,2.947226207472339,2.554938839634952,2.757278355818432,2.53642699382205,2.4211261042863494,2.2555376455708243,2.281705192792071,2.3771399075149082,2.3754015753066624,2.337146051585865,2.3966786274534817,2.518374272062686,2.3884974501402176,2.4397391787347895,2.441512129491335,2.3490237440078907,2.121162208419384,2.223091734444717,2.1233090904380005,2.2238476122853332,2.2455012468997833,2.199271817537368,2.277322015781126,2.142838236938499,2.1679065455688895,2.238818645077589,2.2248414658803863,2.0733678690811197,2.2016099407899503,2.2484242486383885,2.245521448588857,2.2976155107133214,2.275668111374499,2.2514265132186475,2.2555974423804397,2.31558702799787,2.3357240236341257,2.360066185608092,2.3024200953850005,2.2759370101343657,2.3011084420691925,2.385846428660904,2.3526488205615803,2.3276937855359425,2.443652181385712,2.4741703883589725,2.362098421328157,2.44801790584097,2.5777062580728725,2.475150345559353,2.368365553998733,2.4955726476425752,2.66369105120808,2.6044132703658756,2.626757419325857,2.7676670485278083,2.8001462865141176,2.999574500043371,2.7055088910023573,2.4747633959181132,2.3645552516768027,2.5326222357242787,2.4163846693574125,2.4960494428536535,2.4428365616043184,2.2617829964392766,2.1765081516440046,2.0813432551628557,2.0533051973322918,2.151659600662545,2.1749244946511457,2.4925587854915388,2.26835835050791,1.9426648282085028,2.3371248065027186,1.809381504946599,1.6315220173593763,2.218033133007524,2.378509249666205,2.294298903051668,2.0002602934844247,3.2398318168773788,5.083498797816767],[2.609848395515332,2.2544725890057515,2.109968909479591,1.7936491554997398,1.7463252962422886,1.5265757597282221,1.3358297747743781,1.3212637150948405,1.0830307825621386,1.0149121694837677,0.9516695694076932,1.0750086830447325,1.0280677697499478,0.9349529059722206,1.046281519317262,1.03177794167523,1.0298547304347325,0.9988964517135952,0.9703884199904053,1.0002403475472736,0.9714750090029585,1.060787345034173,1.0105029445731066,1.0551449249862919,0.9876769654839165,0.968185671078479,1.040851738490904,1.0307168903333115,1.0458978605498326,1.0995833813462987,1.0766240507739508,1.1308537749078529,1.256342812459339,1.2440347780626722,1.1722535357547725,1.0721539115387393,1.140111267706381,1.069693483560917,1.1457753048041384,1.1996705460959098,1.2139695321985828,1.0420736340132395,1.100047064106691,1.0712616191492352,1.1870424054962412,1.3489325100282232,1.3062958629453154,1.2185438307849128,2.2498587283909375,2.2719389314374787,1.7900984303875127,2.418437917908566,2.0546645591877213,1.8455479283054446,2.1132891336856674,1.6198767933629712,1.7162120204469147,1.2314973357095347,1.4483742314764885,1.2939997443497224,1.2371579304415337,1.1480062336833357,1.1316338327610018,1.2609914655818824,1.0634941967926337,1.0537152041906004,1.190904971972428,1.1041957702320573,1.1365351516713034,1.1239125620876123,1.274045012981059,1.6682359196651197,1.3164103011869264,1.2988475650346223,1.1235951449103772,1.484942301155142,1.111663475871066,1.2086149199622238,1.1532490885731892,1.1699823633014135,1.2097981837382599,1.2238109271427675,1.7784646149517116,1.4657116605044664,1.2091509901971105,1.1831195388712263,1.121148662888292,1.202884222236111,1.1225851925388077,1.2535913013365116,1.1771877370748356,1.3206831277257804,1.2612954332832507,1.2590147368171352,1.1603537859991244,1.2790606717203588,1.1756700140180676,1.2074668332047347,1.1844200077179956,1.4127821366556668,1.2462645823568055,1.398446933196416,1.3075444672913412,1.4276236733970933,1.4657663784172599,1.563553278654315,1.912465124809175,1.7050665142690973,1.6864069533761075,1.6838480513299465,1.5731770907697493,1.4057870317923329,1.3366352078344057,1.3502861192724167,1.1248459552210663,1.1681609039807037,1.0801052240438982,1.1380496575587922,1.0485780712016235,1.0736382362510082,1.0024213150740988,0.9845319962850536,1.1334679912745194,1.1799132868550077,1.234065627459635,1.3261606960512125,1.4152120016983436,1.4613464196963364,1.6106066976088964,1.6406593550767223,1.7404474820002152,1.8392845849462085,1.7398668590988873,1.6969732902596233,1.6234716608367943,1.5753012172580503,1.7451035365719614,1.5599952256586331,1.5081550176167287,1.389078242181933,1.468600481388937,1.3448988849966146,1.2081429464127142,1.2154477642692867,1.1457808707494217,1.1415620093655965,1.1636162064957403,1.1651238620093984,1.2474476553532283,1.2375713816787979,1.3532974646033942,1.2515603722487498,1.50455829157858,1.6001955963967869,1.4330170673978218,1.3503975728019049,1.2288402328454584,1.3137945115060177,1.2032720858841623,1.3911869510977082,1.318646547464776,1.230679570079942,1.3134215277270633,1.214721705644671,1.553063276701743,1.319191349076567,1.5813533176875858,1.721085876772776,1.8773862665452459,1.7481133102165654,1.6596567699742637,1.4883803444829964,1.423224122446365,1.3447020256111588,1.2969143782313022,1.350316854862237,1.2721753068048838,1.4928878084213224,1.3378344780609963,1.3562640847282537,1.365175233923165,1.478476959812514,1.5629216264383743,1.54928518242331,1.4396388151720696,1.2826436633249154,1.1955795613142728,1.4373412384921034,1.6829622006678633,1.3704600615046663,2.1386051888198976,1.4886551601893034,1.7239727874570347,1.7740003126307728,1.755829526299762,1.8282219812228886,1.7608719552062149,1.887573406848608,1.9616842715798888,1.8613661438212066,1.9903829075510886,1.9391596675336011,1.851464110136674,1.9988050255980558,2.045686961679693,1.9561377453187736,1.9516948694910083,2.133273981545447,2.1205622701314844,2.0143659278356996,2.172839976407706,2.255459400822872,2.127730114172306,2.179911816448079,2.32517603064312,2.3422799423681027,2.456710973002804,2.427533512091043,2.329642757067715,2.3576457027332984,2.3374305277669705,2.900111300356006,2.5501914505106598,2.694231036090426,2.4183057796431684,2.345288568551578,2.184948393075937,2.1951285430117435,2.2951596386469806,2.2238651932104214,2.1939590873314545,2.242790617208206,2.326136620952903,2.1902365360040474,2.2298890253865236,2.235344966709674,2.1449189191040205,1.8988640034429947,2.006321323939348,1.9554166686605063,2.0514703118156676,2.1287271140725386,2.116567207661895,2.27657097771769,2.0751157050066613,2.0644563520951493,2.1861900052501153,2.2108368334121886,2.003643254887351,2.109852713011799,2.2124767554950235,2.2168442824266243,2.1948255353514488,2.2185548855974258,2.2413118163985377,2.2128875440907096,2.232701575334655,2.2797841897241224,2.2722259018554287,2.234990475315388,2.183264062647094,2.2210272193901655,2.3155687139361674,2.2216783050211406,2.1994106229044257,2.318415695063152,2.3272231130437984,2.1854645884057358,2.3044189935493224,2.4649414868820245,2.2794325598557204,2.164155457945877,2.3361653876293977,2.4387278803049797,2.3893571385805195,2.3858540502928376,2.596571450316691,2.556013281715199,2.8034283197090386,2.450864425463982,2.2208758888114617,2.1013872721807183,2.229667033015167,2.133509657787976,2.219755472673545,2.1531475318926563,1.9951953246900465,1.9033837956419886,1.8396489729673542,1.7808698036829547,1.9039744298671637,1.9823457576683314,2.326643185768673,2.102497576145309,1.7336861708615623,2.1249743498545617,1.7074506221599741,1.4600659992067508,1.8995080618029634,2.1207781219156097,2.1885270560333403,2.0634327980031046,3.326443988698416,5.123604332553194],[1.9836788522508295,1.4915418573207913,1.3336961592939591,1.1258367967518972,1.1000091689236007,0.9598532527733957,0.8503902990703204,0.8641722940248809,0.7903195331590176,0.8088450120183232,0.839655089767239,0.8495167588633256,0.8218592944017987,0.8386456896920838,0.9202268861361106,0.8762529819006507,0.8711745649724031,0.912494450438809,0.9389832589276937,0.8973697062057137,0.9042462178088189,0.8112855052166552,0.9463268192300431,0.9752341548829913,0.8851933583026096,0.8800878736992346,0.8470565167878007,0.8472155372519607,0.8610663195451064,0.8429713608458698,0.9480375738247935,0.9170107879721162,0.9772842681329731,1.0122475680874998,0.9334182609960349,0.87119019770724,0.8361355513205676,0.7852956237858134,0.8125715431452212,0.8103329613624377,0.9246958699148335,0.8602362126228214,0.8795742708843215,0.8451353865939666,1.09045961395006,1.1013217094009444,1.036646448171047,0.8979222244159245,2.028319532127112,1.9642397138293113,1.3151811252172922,1.9970942641293288,1.5701373531864673,1.3569612696173226,1.7672218468341432,1.211965534490354,1.3898683394434543,0.9645497465900579,1.2708517012533689,1.2059119995509404,1.1545475775133183,1.0853056477242107,1.0197333037121101,1.154812349597018,0.9623808442704433,0.93748113655447,1.1129109707444944,1.0153845722306318,1.165073231808014,1.0978251001182124,1.279927930592819,1.6095734590289787,1.3110766933846998,1.305777229532852,1.0583984735219412,1.3693218622240744,0.954290309326811,0.9972451357348304,0.9313814778215687,0.9185690842000998,0.8668549362118018,0.8607432814615127,1.4128896656366383,0.9938464236150647,0.8100057539037719,0.8232190960310876,0.8293196204634603,0.8901040852198471,0.876636936223641,1.0148611046800324,0.9767935756251633,1.128652469318332,1.1306457877869407,1.0734403062870561,1.010399774272636,1.1265528794701374,1.0906628867076384,0.9834328387574769,0.9404876728117992,1.0348182932045693,0.9124864923204937,0.9884217674148599,0.8910399048958941,0.9545685909899259,0.9767010502586202,1.03006913009706,1.326136250217826,1.0830991044322014,1.0529430286330985,1.093785364624335,0.9814971823472542,0.8850596211293338,0.8404150251122557,0.8926802811233188,0.8403075939874932,0.8711632671378718,0.9085094177161832,0.9565248206731701,0.9293814932289971,0.958636551344196,0.9506915239819729,0.9052310677532921,0.9272927180808103,0.8958583149879729,0.8551892859328013,0.8677407338643426,0.8759102410303933,0.9154359695080563,0.9881586148962715,1.0350152700017485,1.0746688604760282,1.1553205169026972,1.0771590841461167,1.0830056855338757,1.0208346327887186,1.044580524817962,1.0956157413218974,1.041180997333187,1.0744973140474945,1.0006811941567557,1.1696191385233505,1.105827763623399,0.9980094901364754,0.9329845852606315,0.8385332330180952,0.833889547121473,0.8432367228579848,0.8150867803782035,0.8270491824784524,0.8249714926759943,0.9069981417659376,0.8612178259410274,1.1904695866875747,1.420406276391625,1.058653190912587,0.9336591829785299,0.8760674620037622,0.8864557575328865,0.8340326524763674,0.9222186288661924,0.8767799537177903,0.8606522104704631,0.9066733252898428,0.8293363012938297,1.0684568589044439,0.9094671626856405,1.0269222506285067,1.1916410226570022,1.3246652569752966,1.2330195114889642,1.0885985375129974,0.9947972403043108,0.9252756123422489,0.88311346631845,0.8494043595878327,0.8646248709986335,0.8570882246604069,1.0413486110429089,0.8758212991344899,0.8844826194248606,0.8860848569821885,0.9383006830284222,0.9796854618985333,0.9638115926218837,0.9117487132026547,0.8461107124566729,0.8720734158380649,1.1102757098929723,1.4892225805232817,0.9712756336753717,1.5910227362210152,1.1220542200036259,1.1518376193232323,1.1334649509653505,1.0659788590069825,1.1354551678089808,1.13723516781819,1.1695033669324062,1.2224423683177974,1.1637835896563067,1.2598247527912325,1.2732800137189986,1.1805898239794121,1.2534309058703772,1.3304146596318787,1.2698695159474698,1.2309905213643977,1.3741816629521473,1.4395234974513167,1.3157639938142507,1.4119022801818877,1.5227807333799794,1.4668021880977038,1.4478182986116284,1.5699349644278382,1.5550996393529688,1.7084437966805202,1.5619404640343983,1.5270940881926147,1.5700178949688723,1.5573977091724283,2.2140863738529095,1.8251792269319298,2.141563665306364,1.6580145213956516,1.629028174691871,1.522837837250953,1.503240596317726,1.5772135072287667,1.4485517597381892,1.4443025741956077,1.4586493989305624,1.5324526230159097,1.3983065963929682,1.4356450444154039,1.4133283102983432,1.385721333919241,1.2304503142982806,1.2633373766060694,1.26749728507014,1.327613674293739,1.4402423361296577,1.48207835336259,1.731245388102793,1.5530598347335345,1.4744303577769609,1.5253045293314964,1.5948339162927267,1.4260922239611649,1.4754088891709771,1.6351018663070416,1.6772945009904279,1.5709458632469044,1.6231159779548312,1.7217792981538258,1.6807212014214759,1.6112640658530655,1.6935097830754227,1.6038362866029887,1.5840373884152847,1.514048626599933,1.5310807933920993,1.5980410435873724,1.4884162189777623,1.46979564910369,1.5412180844673815,1.5436236355334372,1.4065841312996912,1.4930860195176994,1.6524951612265149,1.479295906110238,1.3721966361993443,1.5275014083878722,1.593815367753524,1.5938837923517157,1.6076017390163853,1.7333209918827561,1.6788921545988764,1.9625942884322227,1.5655436118434378,1.428198516075629,1.3886987574518928,1.4636073985918228,1.4114763405677482,1.4596365430017635,1.4477914550559026,1.3005925903223567,1.185715865342918,1.1413901230582972,1.132375139278393,1.2234804100476953,1.3141703931145599,1.6448329206604366,1.6983432289841673,1.1420793856572746,1.465495010988904,1.205975362001751,1.0155064734165393,1.3042371770879448,1.5556432346745237,1.7034483159367728,1.8745945510533002,3.2201557985019362,4.780566758330406],[2.218046340552391,1.8890011953869088,1.812728311225819,1.7791522803692348,1.8140208573758934,1.7198129430379623,1.6919688872896055,1.735898860001706,1.6740035635038406,1.6421061805427715,1.6626567359994031,1.7378307672761268,1.6700799436141882,1.6417901286827068,1.7105359295823273,1.7148996045051919,1.6950756685138628,1.6971462665329136,1.6693114309011694,1.7049755963235178,1.6838036470070938,1.7651272284607635,1.691056818826238,1.7381046959690776,1.6693032149088702,1.6679150851833953,1.6853641775172363,1.6894419687825295,1.6947431985017956,1.746308837896293,1.7236160617955174,1.8020139913958262,1.8760553583360755,1.846532975296735,1.7873639715282048,1.747144569946595,1.7684202135027982,1.6789180090791527,1.680781380102683,1.6709317702659827,1.8288832393346934,1.7046610724246205,1.6720236873088892,1.8084247338709403,1.7072102157369646,2.072863556300701,1.9981721837439141,1.9345536556662013,3.0651668515544364,3.1074714631733804,2.26825490084494,2.9490165456214794,2.047073167650697,1.9703006065661823,2.329900097166493,2.007614705716088,2.0556093491254637,1.7722230447599288,2.081414638132542,1.8822815290777255,1.6744690849538173,1.730164183994973,1.7193906628480458,1.809905529545803,1.7409357002760075,1.6927475111101575,1.7147664935977578,1.7122632802011688,1.7403101428909502,1.709133105249025,1.8533793290147653,1.9776649605807741,1.7598771482343334,1.7950968705886494,1.7128904601185229,1.8988598996622124,1.7362317989938005,1.7936659060074045,1.7910645798549585,1.7797162788655045,1.842369270769607,1.7482975747408187,1.9627692797591614,1.7813813186405676,1.725788021872668,1.7105361101977583,1.713315220130814,1.8126690404707537,1.745829763275387,1.822189169426258,1.7750238856627494,1.757209135056096,1.7827449424678035,1.8118987376473543,1.7621296286853938,1.7983066273899722,1.7868595992284997,1.8138190182590146,1.8114440103524279,1.9510267626222755,1.8859635556723287,1.9621115296548663,1.8202758279201672,1.9004842416034493,1.8885579566151633,1.8555702941945134,2.0412771939351555,1.8440437614069174,1.7842081087236488,1.8454611789146247,1.7691923479891725,1.7356127905342118,1.7084704610521533,1.725004510228702,1.700636053106634,1.7091509051469977,1.712375162832567,1.74519396828151,1.7268521920959934,1.714606929833701,1.6675302124643394,1.6517809494877298,1.7364036100769193,1.728098402100539,1.7183256360216304,1.7145122279580998,1.6795223680467504,1.706472973373283,1.7299661551869414,1.7783735001280794,1.748737753292315,1.7968825107102728,1.7788774426094751,1.8246637477232373,1.7932376871592166,1.8376678734818097,1.7975813257048303,1.7763240266404798,1.790659586039338,1.7605765934613347,1.8618500091349754,1.8505691171869627,1.7401707457387405,1.7325770906364526,1.7136626253283345,1.710518230834712,1.6970345706786227,1.7058227784731275,1.712963632855966,1.7215240604396218,1.7645525174345857,1.7800585296551827,2.059655058967991,2.2378277858383204,2.009458489941585,1.9148903114867406,1.8169805859068697,1.8237187628493425,1.7546262874421272,1.768586299879471,1.7434592389922023,1.7015154618648238,1.7309186789446995,1.697406128795871,1.8672593754906093,1.6651117646057727,1.8275672667283704,1.9476275763567021,2.020753159577578,1.9727292638587572,1.8399661340067626,1.7689176995780385,1.7691840946058597,1.7433140447546622,1.7295624400296838,1.7485989139344102,1.7288042303350746,1.8628836057694467,1.725347927706645,1.8297257211913776,1.7472254095346316,1.7675381219973498,1.7921397900103762,1.7735177196341911,1.7193288149517791,1.6567234170703815,1.65634098766546,1.683442810436945,1.9436575906911893,1.7955238082690659,1.9335945620858377,1.9350683099533044,1.899957728133801,1.8432835303574955,1.753182772118968,1.7658545413959408,1.7629915055899785,1.7206009856424411,1.728794913586227,1.7523928432661413,1.7403186844637408,1.841823727387577,1.7847369286262047,1.7055450134653711,1.7643248040572774,1.785239423760104,1.6632125569870675,1.715446550213081,1.8340668291400641,1.7487218778155655,1.707980996181755,1.775556187570051,1.8680591102383386,1.7542813625502347,1.721662230585291,1.7092268775118944,1.817463155897416,1.652937157186622,1.6873360989464639,1.701807500635605,1.7128708371455752,2.250028802541969,1.9580537475212343,2.3154645316433027,1.8213036898742359,1.8946406757067147,1.9169705998564055,1.870462520416753,1.8953908894041325,1.7780141653336625,1.8279446049464434,1.7650305047215469,1.783041062631419,1.7489731122884629,1.797881912345287,1.697894479644467,1.696372743025473,1.681828559217953,1.6901985133233288,1.8011094287292653,1.7999724856839951,1.899929100405766,2.0012765463454443,2.2802098140909712,2.1735542244297132,2.0615444865581996,1.9730903106609958,2.0840521498578237,2.0146533166047,1.9471220460164864,2.093943343305198,2.1838674606853057,2.0001467970159137,1.9961820575911555,2.146505933498874,2.1409257042933687,1.933374687580853,1.9760327780681624,1.85070784356097,1.879283841482164,1.8664633459016036,1.8323849561226815,1.8223486591167497,1.782784841640457,1.7927646301192455,1.7457644191263169,1.7356892687762437,1.6992054554899563,1.7016198005675434,1.7794587245585876,1.6873530871415294,1.6374210879796196,1.7086936301450748,1.7255858718041448,1.771865856842047,1.8095145770634984,1.8578431938104618,1.8531812549265707,2.0802860481569674,1.7628176443302097,1.6629201610062803,1.705808657486287,1.7484754435918988,1.7224879260836645,1.7384844704283613,1.7546538397336893,1.6508275776255223,1.6994239683405232,1.7298051866364874,1.784150414038317,1.8206639285873099,1.90328818731208,2.051480367707518,2.234985994106986,1.839987601605148,1.875126548002611,1.8135308778579153,1.6587759314402264,1.9194428176056497,1.9438621161843526,1.9180152193377311,2.9222535931462095,4.2933100337427845,5.768776256038868],[3.0797624605996985,2.8148287913224186,2.724186638025041,2.5222276962114782,2.661773633920849,2.4880190325159948,2.4047596381853125,2.410124075219346,2.228084637895789,2.132399370652975,2.0719426264902494,2.1570304992001863,2.1536535379026693,2.018076877386453,2.0302678800362597,2.0976130506863355,2.098774856511538,2.0691375502107645,2.0280046021494114,2.1073387907188343,2.050474873622359,2.232546545852435,2.066858745001983,2.2189296422736584,2.172151376073406,2.1402121576300956,2.1641922560599682,2.1356620585559347,2.1452924842597265,2.202515155466473,2.0174910590919564,2.1729605665883085,2.18232957943443,2.119906762923169,2.1412786610484513,2.136464655567112,2.2262942602175984,2.1801391019169283,2.2264604204642096,2.2767733045139034,2.4355270132911624,2.235380707929385,2.1619039975531167,2.4653158800786796,2.2234198381297685,2.776107936372118,2.637602186403727,2.585345561767819,3.8024484253249353,3.8722739263355255,2.919203202118965,3.490513374823545,2.3875311978101674,2.403904540752615,2.8780159223395625,2.518341388679759,2.3848506955618567,2.2450567387454923,2.5703107932581912,2.3540034131993433,1.9342329436266497,2.0116305770653793,2.0152869049822315,2.1240847884682696,2.0760933617149946,2.032305717431648,1.9844612981177359,2.0250564866401572,2.0110229756331677,1.943237043164463,2.0775592262325655,2.1411264266010894,1.9355624242360754,2.0016319950844306,1.9644095489661846,2.0919152157267575,2.03508918081606,2.048307749866141,2.129325431854592,2.1853072182438673,2.3074897705510677,2.288865973896693,2.2979413392757837,2.378690058196812,2.421601894581322,2.285032927704784,2.1988790295832183,2.2279978831708775,2.123471938939022,2.1143033337784503,2.0648992946152136,1.9408050280784364,1.9722428375067798,2.0072778454995333,2.0049664762356945,1.9415470428379722,1.943863109808896,2.1034902603994534,2.1644185644110903,2.31934909429371,2.30172725833683,2.4664098825229637,2.3494264410886436,2.5422726262358983,2.5958972273423666,2.6162942597314216,2.8155221881762373,2.727446265529307,2.707545116656745,2.6838460595624323,2.620868474161236,2.5113621563428,2.413851772821717,2.3764704176387665,2.215038949562482,2.1954119824711493,2.153861105063295,2.0858266423380503,2.00480538899772,2.025890663694408,1.9622264391189326,2.0126112248819066,2.0638341454983546,2.1803564245584206,2.281032608902021,2.4307306731911256,2.5067157847503494,2.5528470151524147,2.606105656335728,2.6178408674918403,2.679424009661248,2.7434441554282207,2.6842524690280287,2.6696164037390813,2.645384704822426,2.60504393598467,2.604266103227411,2.4644856573686424,2.3236824668859652,2.298557224798807,2.2015740958924526,2.204926367496271,2.1144925930733662,2.208273065928843,2.284102598709105,2.251685907908277,2.2587062007963845,2.29118661419676,2.354609125927651,2.3478439591494507,2.4168126537786665,2.3456092659463006,2.5111787005323283,2.6418556092867846,2.3875228044489902,2.3618026575783384,2.320948829039349,2.4132061412589954,2.3067112818840516,2.428355317474502,2.4487051951406205,2.3015675835250433,2.345998148093957,2.355461681871953,2.4551499768772658,2.38901898635677,2.5920580695888438,2.7037146748864433,2.820708981402696,2.681986411089111,2.6081635512505557,2.484846955844081,2.514152691842221,2.495870753431814,2.420415231576311,2.4110539548495895,2.2926151976861617,2.3689237492922777,2.3581575064113665,2.5305186261665944,2.504737052269212,2.5324347621736814,2.6139937042290313,2.6308686977487947,2.5808305188058083,2.497839675028988,2.4601532724513104,2.4700757318085227,2.7020384433480866,2.654543378898533,2.436766183557422,2.7998015288591054,2.763511529682908,2.7481914294683403,2.7103239585802497,2.7959152944152126,2.762494578034274,2.7249079875053406,2.766493615252884,2.763149766415764,2.7960208675989406,2.841597035328593,2.796766931069972,2.7831635330979823,2.8324325309437115,2.8184113126400265,2.754333281542613,2.8294472129743866,2.8589121299335845,2.8233118509461637,2.828470951294825,2.8549947408930865,2.8920859184872363,2.882272995476432,2.8667816195892155,2.8133953373483407,2.9260659857201423,2.7100565907310656,2.825504375564048,2.7995796626847023,2.774046606438661,2.992915093722834,3.0215907544328044,3.283218658802487,2.854822442371196,2.906492236055579,2.8957353444567184,2.885133319853556,2.914724726940481,2.856668730878422,2.879344747031351,2.862285336926919,2.8608454775664587,2.8419627040680258,2.8277856042301766,2.762059060401182,2.814707349503167,2.7658222541583504,2.7826541144480954,2.8248333663451124,2.8262037280593386,2.9037543499660106,2.9406694439301635,3.1095486370491963,3.0095879825831187,2.97217632600943,2.8812907723244887,2.8845680151278796,2.8548706288727264,2.8586237444225246,2.9050144057675227,2.949591038353971,2.8817999831966983,2.871657054837557,2.9050442630105158,2.946585625005093,2.8622155390606268,2.8547207940994492,2.8294632355515232,2.8359081174553955,2.8470324695056424,2.841576800843065,2.8376068939759653,2.853185681661743,2.8620874463098014,2.842138415734112,2.847498673073224,2.8171293795459222,2.8098400031026793,2.882103635330243,2.7662473459489507,2.7522909947324807,2.820378430359534,2.700216367406529,2.7390692211703414,2.7461189837288815,2.7863452831700064,2.6499339349618394,2.843812748206273,2.6733123570219295,2.7517615616290976,2.825898065660823,2.6625431738376966,2.70453166352736,2.682089281204621,2.67388064220502,2.737601925022297,2.7058101209572833,2.749002134533462,2.6833346995911964,2.7793349841405592,2.7603543687500505,2.844381614959047,2.9724900998840016,2.705911981083006,2.70577583370463,2.563600211145534,2.4083935101728398,2.8445633606463843,2.746470606519332,2.5119783878837842,3.7657027190441794,4.996567900948034,6.299280501259911],[2.2702687310183745,1.863198191854009,1.7151235673958865,1.5296846049811137,1.670683762810259,1.5358523071561858,1.483536670253843,1.5452071429520822,1.4186490927023925,1.3524257084082576,1.3834576682039286,1.5213526065043572,1.3999337572895645,1.2971507523413217,1.382414129494907,1.4073548966486318,1.354629564036449,1.3763792987754624,1.3562014211324143,1.3703220614665719,1.3585870423459765,1.521379125916837,1.4130169734180438,1.568552915389199,1.4296661431126474,1.4239548254936598,1.351214093399388,1.303878921006835,1.3634963731398313,1.426325643099092,1.4042621163449756,1.49314611063588,1.5948842502445937,1.5336029159282214,1.470691819583781,1.4234847265276456,1.4542764221184095,1.3829615896222012,1.3767446269212429,1.4057836108189135,1.5856547203934683,1.4803757480104331,1.4151986664762324,1.6192830311032365,1.4346023158741605,1.801970645583245,1.6252367254782274,1.6302952287249834,2.8225672284695795,2.7772151697675125,1.9873438991454977,2.4951469605775776,1.6721181183766758,1.6246015431470522,2.4027260593862025,1.832620285722169,1.6959225743096646,1.469818372441794,1.837988133128044,1.679674167282989,1.2812190728998634,1.366810376894924,1.3772980047901158,1.558288876586881,1.394924980971926,1.368806474891252,1.3784773490661488,1.404718786505578,1.4706803204820504,1.400193459214666,1.5793675741647535,1.7749280922268185,1.5235867805493146,1.5476510313290661,1.456609568321666,1.8193243184895334,1.4305429687705913,1.469808329570974,1.4529892384680678,1.4691606843974474,1.539697846995918,1.5047545140408753,1.5592508956847915,1.5054335611976184,1.5449656707311392,1.4592953579789874,1.4080580746270142,1.4302459954905056,1.4071100947898947,1.493300395159933,1.4872147962095048,1.5028305358977871,1.4874313016331917,1.5076052278912966,1.4559068202326728,1.5021664749282484,1.4211789190106496,1.5574891818722596,1.5687340948878834,1.7462783176257972,1.6274565234817018,1.726051099408541,1.569192174952151,1.7070249980078935,1.7019608442595313,1.6710479556867048,1.8713847305001992,1.7593916702443597,1.7460469451016862,1.7589002888957839,1.6518450060832695,1.550865868495168,1.4946819448192183,1.461270065823333,1.3497327340932679,1.3093189734092272,1.3085534506343641,1.2176710336454462,1.23030348707239,1.272859121356071,1.2116352039660918,1.2489550206925562,1.222376466064259,1.3111299603446522,1.3979598711692167,1.4933404678004925,1.550143450983899,1.5746255768131079,1.6084361049918454,1.6166820016479944,1.6746517255003177,1.760977967872086,1.6740101434908745,1.662730943774496,1.6249235789050187,1.5740149528711018,1.5776974987263048,1.4748059667270745,1.348691130401236,1.3280333447780837,1.2613649327592265,1.2859692324678451,1.2112141479753629,1.278936338920924,1.376195716904057,1.3755084467025376,1.3576138803838986,1.4193675868639233,1.469230420124968,1.4835074043489969,1.5652196424818532,1.5774215537615033,1.8949388777939449,2.1048598066580513,1.827670589748969,1.7009239215050882,1.603339825434381,1.615510389064925,1.5082742901117336,1.5645671583119503,1.5284553677564578,1.4107989737783497,1.3804651994441963,1.4106839755683505,1.432607993238736,1.4141213885804231,1.5396286033485578,1.6595976432908301,1.8013055253917725,1.655864840371977,1.5725172192160484,1.4791932736971503,1.509009999337286,1.5221140993725744,1.5085664341211587,1.530724428187434,1.4366652376019278,1.5407700455812814,1.4810418440155564,1.6005714488002274,1.560185845369034,1.5857944013134215,1.633339602205545,1.6403948527911723,1.589689663364856,1.5899962279155395,1.6427227812900154,1.6654390187346848,2.1049373388353807,1.7470143698405465,1.5622012027240217,1.8842456552094597,1.750627786682243,1.7299996284365622,1.692598591065186,1.8012225358043215,1.762604550228067,1.754297952778605,1.803162674057776,1.7916574405922228,1.8553182262166166,1.9050395293596813,1.8381099629214492,1.8447880330858202,1.9178331425381048,1.8867204095217056,1.83467676284404,1.9380526532785352,1.9962793113443777,1.9196684527862087,1.9478117865468103,2.0309365406162567,2.0483450799708756,2.002550603260512,2.0665127475260743,2.008993749466644,2.2019037144205007,1.9915903737077079,2.0188586651065106,2.0531210667893802,2.0471075049105503,2.4286140551269964,2.3278098204633273,2.6659735760022785,2.0939392779880874,2.1083434900646596,2.0600106918205463,2.052746927896507,2.1378352039026813,1.9816428879804084,1.9802090292043188,1.9910931442047797,2.010124246300166,1.9258321384518668,1.9212694689968208,1.8693505126273304,1.9221466242904148,1.8428975636747247,1.853543283406513,1.873476231933123,1.8902076574899975,1.9889767263759783,2.032953308516972,2.2788275195122507,2.1514787130280832,2.064435248574384,2.0061501944132436,2.041649666048422,1.9854715830330736,1.9871590207900791,2.1078091034115034,2.160572831253104,2.0445741334158734,2.1001030234856803,2.1856332538800816,2.183851183164648,2.1011679441922975,2.1533118446164954,2.0764792409578283,2.0695131632234927,2.0167786969682155,2.0401963091678916,2.08547029795739,2.017579984809891,2.013274943865489,2.039746125293351,2.0423961716848686,1.9512384808546688,1.9949485627340986,2.1524788366228016,1.9718585353667455,1.913220010664457,2.023923277191728,1.967930408364882,2.0051606060287948,2.000948317342852,2.1007197437589324,1.9751077074487802,2.254320177857253,1.9022167770681266,1.9064804713182133,1.9577939178224584,1.8274015595610622,1.8493532419712069,1.8599044341634052,1.8224849538422758,1.8405485521715443,1.7360483607798285,1.766136271085259,1.7048676952190331,1.8141486024529316,1.79516967932414,1.911694480917086,2.1379230460399823,1.7407086985697153,1.7538094459161533,1.6167983952710472,1.500042797465032,1.8971504074574586,1.8204152037428882,1.7097004319572215,2.9633874328342236,4.286744253792303,5.5449232140269755],[2.602584366681503,2.3038652923076417,2.155140358460723,1.9782673922165641,2.110739292967906,2.0410402722900076,1.9500733679187583,1.9464995070516158,1.866478845134857,1.7698863027239942,1.7344785866633066,1.7720161038804523,1.780526698429266,1.6908190969503998,1.7156740372731711,1.7427305923304948,1.759776345129367,1.7179290699871872,1.6952004498219893,1.7267826010091865,1.6970409073177362,1.827082672153401,1.7344352736397393,1.859487334912794,1.8000422056812477,1.7687142928182664,1.7857806425907963,1.7665174051848995,1.757774087573913,1.8056726312683546,1.7122108215865766,1.7676543250386683,1.7850198271198743,1.751471488954959,1.781872267480269,1.7559922884728296,1.7946749237780608,1.7744155772077086,1.792917432956527,1.781604682936941,1.943715432528943,1.752073909506316,1.7100208381481166,1.8624192471565704,1.6247361221719538,2.064119951063033,1.925004944726017,1.91475151609975,3.184309610321068,3.132094271809246,2.171316877804958,2.996829407954961,1.959745878431868,1.8899434689821963,2.301578358785493,1.957204907057709,1.9602819051631337,1.8273556231099832,2.1350723158551737,1.8997912818110056,1.6277678618745548,1.6679186158704682,1.687074043466459,1.8205392542457557,1.7256438190588532,1.7002807835647584,1.6776565800187684,1.689895665194214,1.7429383452822524,1.6783995423854954,1.8067212669664672,1.9495174140481195,1.6980961977061462,1.7675119322933521,1.6688885694051634,1.833395272278171,1.7157402339788619,1.7173254007640408,1.7513420837690978,1.7550351208343333,1.842218292866384,1.7982973836569582,2.157650573531207,1.9701010766508364,1.8649155069823715,1.7852445744455905,1.7695719504917382,1.861170667708572,1.769404448675565,1.773786140532167,1.6990610193817248,1.6660805860840753,1.6925155038984552,1.7006915594190177,1.7092379554442703,1.6968305549359666,1.72544691716243,1.7395350016091227,1.7792947213065307,1.8995047966251162,1.8567405790869749,2.0227961970320854,1.8890037006297113,2.0218681562448224,2.0451476252551077,2.0928227496226266,2.256087541402306,2.1732295376342616,2.165098644386657,2.160100086067274,2.105723123506864,2.0036780077052962,1.942709507164399,1.8872454427426317,1.8229455676901467,1.7992034112775972,1.7746617686618908,1.7254352685031722,1.72933355180059,1.74581832639555,1.6864752977035398,1.7014836026981504,1.7500581955681842,1.7710836995250283,1.8534780821715273,1.9351640238635237,1.9852730389269002,1.9982448746771464,2.037475309304166,2.0602986212642884,2.099491715779415,2.114504470195432,2.100891332209513,2.0864154085692577,2.0861240010864806,2.118847018503072,2.0665722216597575,1.908776078352898,1.825794281938652,1.8282091632709971,1.8057650325167014,1.8238915037089876,1.7307034415118216,1.7834605465580065,1.8445384205377475,1.8546809665165072,1.8408009954428477,1.86829925477428,1.8873174770139491,1.896373081512762,1.9492989179524405,1.9175685327549226,2.1189234944798363,2.2569806773359846,1.985530206934404,1.9185696525685854,1.8628930322380228,1.9295904062765803,1.8580169129949695,1.934639980455121,1.9114115570978232,1.8584480561521257,1.86931498022397,1.8356310500935744,1.9571761272300905,1.9014957982075158,2.024158254940036,2.1226845069505695,2.2436645451637425,2.133627038685542,2.043629458433725,1.9455054435760202,1.9688780513261517,1.9410481660168766,1.8930374675954458,1.9342874978165852,1.8567338730620246,1.9964117618364465,1.8935021475459093,1.9736114207182984,1.9240248335530552,1.9788608039373825,2.0388620493183436,2.0775971754186227,2.0240551917410383,1.9016139629574684,1.8439660108260196,1.8372733312365566,2.104458455305354,2.072485384850062,1.9110916758276446,2.299016233820682,2.24436793222674,2.198474371410694,2.125164302092541,2.1745318873156996,2.1510849900525177,2.091637713879995,2.1013032095462787,2.1160644617992643,2.1744216311949986,2.2260260449281053,2.1679040338981106,2.1557108393356863,2.2257007755069806,2.2099552890993626,2.1456290420646495,2.218401190025349,2.274544807003264,2.223678747983163,2.2239682594099457,2.284191778720298,2.328226512132119,2.2987791555380865,2.306181960654476,2.239999737082351,2.4206808038398835,2.243493102383217,2.261859114649352,2.2955128240268476,2.2847753566261013,2.6268684010007313,2.5269549216211376,2.935647908148446,2.3297238594920016,2.3577095292896963,2.34291096805535,2.3356551166303507,2.4090867041068442,2.2750122703451767,2.281160184655003,2.258316392558558,2.2529374757476406,2.1989839375406506,2.191437227501358,2.1347062563894577,2.1468503106365264,2.120379661065816,2.1419201400104417,2.2323758853572877,2.2347516217297914,2.3309808797375595,2.3828066133457066,2.5340924861343854,2.4685697858162583,2.4357425633662855,2.3057936988516143,2.3965362991145462,2.2956628582190675,2.3043918229162528,2.4115439543220343,2.49782733590653,2.3586018865014546,2.374364006801382,2.4512799110348262,2.463148226256611,2.3515424840452765,2.3718975840482663,2.315179704344271,2.3085459042907046,2.273284339711888,2.2968677571109017,2.3356370260207147,2.284642372576898,2.2717566131103606,2.2918843358082315,2.3015501286698643,2.2353042766267333,2.2573753960238645,2.4363903286865183,2.2465256373458247,2.1878474198915594,2.313137818073333,2.2036305774562206,2.2811342920111723,2.2660019921011436,2.3393024986263837,2.2050378122966365,2.459387814167242,2.124520795613712,2.189554892231688,2.2774347768221492,2.11837211644447,2.1455405267696985,2.144821158901183,2.1113554586754697,2.127226148413753,2.0696517225956566,2.1130001948666752,2.1037643543297793,2.215271864309616,2.3259597510353216,2.52734489510277,2.756869412400358,2.2477509258582824,2.360142605908799,2.236010354109799,1.907632531675269,2.334452740253213,2.423473345750809,2.50645435199755,2.9138740117057407,3.9535169661682983,5.2494552732078645],[1.8352950670744765,1.400127680952584,1.2190654016575533,1.0603445416045205,1.180311922436075,1.0351656355092018,0.9264833516966552,0.9612037569937486,0.8009646575511234,0.7247772905264952,0.6922719724592208,0.78128343398874,0.7395101834179564,0.6709180993802942,0.7256521064947,0.7170278354212379,0.7591365069031081,0.7780419836022036,0.821538266517143,0.7715819135908025,0.8299366327534653,0.9411117704949181,0.9609164306946962,1.149081272774655,0.929883228946082,0.9180273999743328,0.8154895691787271,0.76317928096207,0.7438210481890797,0.7669999414935322,0.7426511188322071,0.7582597489515548,0.8327652025980006,0.7904014504616365,0.7690525895473408,0.7476681002346971,0.7541063160796382,0.7604818472506385,0.7947316356441254,0.7825601239735299,1.0150061198607248,0.8642356103895678,0.8233681709926849,0.9359478781532642,1.0653746947878902,1.2149662966270252,1.1304077365648104,0.9175186487347475,2.0862542434214664,1.9889261641172706,1.26819781481747,1.901821845013427,1.3434018392695353,1.1957538704236221,1.9227582661236877,1.2399247570991974,1.2764517728320084,0.9115444068278761,1.2908261621339372,1.133305869013407,0.9305249419070207,0.8461595061236593,0.7929278697668767,1.079096400884641,0.8465341641039377,0.807181058051074,0.8942928710955929,0.8212235624452207,1.0073085811725557,0.89649303391661,1.1084773015266436,1.4148874911020772,1.0744112609663996,1.1591124628308702,0.8467299876578476,1.2670238247203416,0.7717074465700586,0.8126611798830508,0.766106483264507,0.7797875884139766,0.8241283279860414,0.8365221163575984,1.3556981540310533,0.9580385943105327,0.8800839080745378,0.796137725796446,0.7601427446959116,0.7990415747351681,0.7518442825070001,0.8286630077049915,0.7669437505279406,0.8748724822849787,0.8453847994689416,0.7972330613141895,0.7629193297321963,0.8501140018393711,0.8041205870445269,0.7935768761971871,0.802539426581231,1.0286614134815557,0.8704289604273401,1.0994270704191456,0.9049886174473917,1.0811675459462202,1.1131862898798446,1.1176473709421435,1.3574356833485473,1.238382806279046,1.2569599159335292,1.2511052983257975,1.1341358678943756,0.9874190159845786,0.925886343843429,0.9154751914124833,0.789797203265697,0.8105977163927496,0.7932276084641828,0.7973146722383282,0.8556080038255942,0.805028074502256,0.7737309362887129,0.7601873251674437,0.8093597858138584,0.7965047206425202,0.8572021597784663,0.9904525394626387,1.023703496272133,1.0242650804005702,1.0639376249965617,1.0562564348233783,1.1665094053539866,1.2315117932514674,1.1307723581450797,1.1218074067961297,1.0690366925675618,1.0257841901071334,1.0800780321267478,0.9552417281728585,0.865299977497383,0.8282300423596325,0.9157350132611931,0.9384084212782667,0.8063768750297103,0.7935551628798694,0.8300161087744692,0.8145500987043114,0.8028227751928744,0.8207456996061306,0.859977042498341,0.8759390412924127,0.9737890118606111,0.9434991297185147,1.372489412037154,1.642916529467931,1.2184087760823756,1.0116293633657552,0.8915999008001704,0.9559824870946889,0.8429981680934697,0.9420177653382198,0.9075592436942009,0.8127631148804005,0.817211918155908,0.8007301097192895,0.8532371178972766,0.9370494672168005,0.9951318165219757,1.1209480066579929,1.272325497862932,1.1274976432815516,1.0419935710927049,0.9288989164933564,0.9068774471382666,0.9052384776475748,0.8778485216170474,0.9303476892382754,0.8147562639026028,1.0449701463589915,0.8733755807801064,0.9546972367914908,0.9401410268157195,0.9973570053270142,1.0516638555469768,1.1022962244381427,1.0657956241362345,1.0686457736480355,1.0842271476546925,1.2674943582569638,1.7616245718613617,1.2555587914193973,1.2146773325554918,1.4483535681445165,1.2438116205931997,1.230706061738497,1.1878021692174041,1.3386227846689993,1.304311683552278,1.2890183654264011,1.3579552095797316,1.3123949424324866,1.4335422964826674,1.4452566562307423,1.36451007616648,1.4632679876443193,1.5329569113986061,1.46482384401022,1.5291418800270666,1.6087960906533592,1.633462692341919,1.554602457251507,1.6400421482272785,1.7445081140008845,1.7068980268322178,1.7198878049633421,1.8502285575461175,1.8013996793094555,1.9905947880709647,1.8789638607605885,1.7999422441922048,1.8639754805455686,1.8931581697327278,2.3797207837234944,2.1067298170577407,2.4211081340525915,1.7880304658291404,1.7707862272486257,1.7145792265507942,1.7039464179912431,1.869917772563167,1.638444802406247,1.583253803486505,1.632767464011708,1.6687350024381513,1.5369634165184385,1.5211568637947608,1.5542844605240858,1.6583015337023932,1.5522155307239816,1.502208409066248,1.4306176725964606,1.4472746091426116,1.5766966959320563,1.6061164833876391,1.8896089110289678,1.7453776403663261,1.660164723867627,1.590504983028606,1.6546781836072852,1.5527911916860087,1.5788825222618728,1.7397786585950357,1.8109739246212015,1.6480555013309406,1.769374254658722,1.8869932459752008,1.8622665687178965,1.8060051960822794,1.8920426127964225,1.8003011901186798,1.7675930189961913,1.6523354861692165,1.711765412507325,1.8246262925010797,1.705863441559544,1.6790384527830458,1.7742358626491168,1.7946582380112797,1.6692734103247575,1.7571823708253702,2.015608983712793,1.8112915668796628,1.720387747475423,1.9050485071966803,1.8927773995718742,1.9213782356382665,1.8932124095328722,2.0333355861940356,1.8972006944061202,2.1684858357090926,1.7222168556026984,1.702540491142385,1.7335452329259682,1.6545750859641977,1.678383220151845,1.730671227664034,1.639663773506843,1.6202176204577614,1.3258027568137345,1.3131084753568694,1.2173806395085662,1.326029958173705,1.353929885221369,1.564336592896064,1.8933229750054683,1.2753949807059335,1.3898275430768277,1.2742436227385108,0.9916760370782212,1.4338442663602222,1.4981641094393832,1.6611189498975472,2.297971324505705,3.512845956934665,4.817272811736033],[1.659930551514346,1.2152593940673981,1.0648371081665593,0.965373137443375,1.0859819900224497,0.9442126876224959,0.8412425261125953,0.8669269389521057,0.7242235577642859,0.6392313467910536,0.6093543012189193,0.7007589396015963,0.650767739659863,0.5720183176884924,0.6481849141865763,0.6393159791643193,0.6621282415333979,0.688516283834554,0.7387352651326868,0.6927429854776568,0.7321771527634467,0.8648908098198795,0.8633673202308123,1.0710073597605128,0.8455882094413881,0.8322924158852667,0.7300650481224292,0.6691804457929481,0.6609028587426898,0.6755852818175468,0.6541267728962826,0.679938355420541,0.7443695522062965,0.6972399234063731,0.6844206434277806,0.6496063943012699,0.6760658398369881,0.6850813630921261,0.7101452344329279,0.7041097512156285,0.9443854534060843,0.8125713619902429,0.7580240959689192,0.8803210548071312,0.9671991736727353,1.134395327031153,1.028594296247017,0.8525329214484308,2.106586256521297,1.962753044190401,1.1997147815873526,1.8263401920687203,1.2341647185793074,1.0909339214527785,1.8763002245312446,1.1806333608815744,1.1961935464044195,0.8445218779844422,1.2589721539151415,1.106082845898252,0.8471565998702221,0.7518088822996779,0.7094796036935211,1.0190967818694714,0.765435566926921,0.7186514140964959,0.8270383690340555,0.738535257326467,0.9362440690512008,0.812538135247429,1.0420193741432193,1.388380515714542,0.9971457832583209,1.0913736629425452,0.7679129442773246,1.1962637191624235,0.6990161687019817,0.7156919636027638,0.6787993763329996,0.6860674665558888,0.7473370671023324,0.7758954884070596,1.2872763309343687,0.853372259260081,0.8336617047570899,0.7302145014371496,0.6818285635270491,0.7137824714246663,0.6513018968865704,0.7234280224741987,0.6909389367514958,0.7903342249531147,0.7596897247422569,0.7102013195659673,0.6817986774810959,0.7541958250915864,0.7252772557648662,0.7207495516850767,0.735259780993353,0.9717602273895762,0.7875170006843903,1.0072276109959535,0.8066472587150831,0.9908708103587659,1.0163792323315635,0.9981645753392434,1.216709918055302,1.0961506670337728,1.124340682986799,1.1410453072526028,1.017913439882816,0.8906623051970627,0.8340550969897597,0.8048188775698822,0.6912020206496408,0.6973734766017196,0.686226473190999,0.6587196920946763,0.7350950633919139,0.7045779351983674,0.6547313089892061,0.6335197441666032,0.682464956858954,0.6820349552287305,0.76102658021452,0.8988759357438831,0.935746373074078,0.9371317960458531,0.9580259738399169,0.9363986271460841,1.0415189581822217,1.0957655221227816,1.0016213460812116,1.006540567754183,0.9646586626750236,0.930543244312479,0.9843856493695929,0.8441692402178018,0.7412867162567528,0.7017423768172066,0.793629024994772,0.8072235644849323,0.6564721580044052,0.6600427771365495,0.7253827127346499,0.7203546576477667,0.7007917180648219,0.7342265131842275,0.7673584565057053,0.790809409362886,0.8849898121874186,0.85895506349881,1.3181383135488087,1.6232241886491048,1.1811494078484397,0.9271100502928552,0.8043253173656602,0.864225768692174,0.7577912307158732,0.8438401328713527,0.8168148235826056,0.7241953232147381,0.7144844508792806,0.7203673702184601,0.7550111798849317,0.8576418623366375,0.9005406415587661,1.0175833416354418,1.1772089904317864,1.037838941640372,0.9417133813124127,0.8181055198617457,0.8150867309549157,0.8166282351625935,0.7872426886378501,0.8217956189694262,0.7256392676964566,0.9435392959863567,0.7833469049540783,0.8709192340822337,0.8564828075874381,0.8973363214014708,0.9436292967211125,0.9969873812956225,0.9651012296000067,0.9915095451638324,1.046124855169969,1.2237583815006055,1.7048713548896013,1.2050024331961047,1.1232905697510005,1.4149320222005053,1.1416868806102742,1.1187396548030848,1.072840040301206,1.2346838143326533,1.205713114957892,1.157666253850175,1.2288209797326821,1.1908171213908505,1.2916670873442453,1.3028284814773525,1.2373744110257163,1.3346816619597481,1.3786723856739425,1.3327447658900007,1.4284595409898637,1.4579965644845008,1.466683247266704,1.4208052461306204,1.4887885420068079,1.5573168837286568,1.5408084943920415,1.5596325423857367,1.6690043179152716,1.6500408971969427,1.736968685709326,1.6915373994272356,1.6100995653039136,1.6576488091434556,1.697028053266649,2.249321985725985,1.8142745022445668,2.1743166027561407,1.5621611893133538,1.5601819596379174,1.5493194524471516,1.5240375251760288,1.6945640579387942,1.462699220014192,1.4009624237210507,1.4462459858497336,1.4888453446528773,1.3719704723251944,1.4013830181363638,1.432497419009395,1.5349165213262126,1.46439034398529,1.372971597384337,1.26720547392764,1.2784435260352003,1.404660729906533,1.4486969414056026,1.7156805655590872,1.6022363153057326,1.5115518697620394,1.4114762811127037,1.4485011967026704,1.4065467013896218,1.4157070724616059,1.5569561281296815,1.6291690544687252,1.4728451490219228,1.5639609494730118,1.6784753439539382,1.6860501865687836,1.607601746176512,1.6737475976270209,1.5927922140763533,1.5592319158947792,1.467878129312575,1.5059681284746207,1.6074191742447432,1.524425348620253,1.5045637793210618,1.5680887998513708,1.5950249084666779,1.5099029951687868,1.5725340294604417,1.8045037933012573,1.654401318988495,1.5980867599830382,1.7287553150080324,1.7457185314250312,1.7792365023346215,1.7567776657290861,1.8342937810467574,1.6898065152685857,1.9713599576131218,1.5804176928026896,1.56243248474661,1.5964487082103562,1.5319849907973841,1.5640223681019894,1.6179498446917895,1.5357266530110703,1.5189308354378201,1.226891666150119,1.198945844387599,1.1093937465640547,1.1812924510804013,1.149934000573229,1.286825671748378,1.6877861740346036,1.1031315268261992,1.1412902432210157,1.0927444858284379,0.9127868460543597,1.2584309624282384,1.2514458227559146,1.4115775822753542,2.072216536394963,3.2384723399426036,4.361603516663753],[1.824398326490929,1.4361721059709969,1.2936035837972404,1.2688108090567702,1.365653105996752,1.2218198115565533,1.1710072322592158,1.144246120847623,1.0961294475412373,1.0927986428835539,1.0612804700386935,1.1058387010282829,1.069653338732612,1.0789837807742821,1.120510739051376,1.1031055220896255,1.1305608504276907,1.1626590921674098,1.2565100574768113,1.1921414766241312,1.272805631621233,1.371484198647014,1.381544606796777,1.5347103143561918,1.3545572501856278,1.3419818801446655,1.2057733625215903,1.1351498451093414,1.119164316453796,1.0967294111627528,1.115769592050212,1.0976918147068002,1.1277887479322397,1.1118849939096593,1.087542780817253,1.1018952407140525,1.0907342400719828,1.138711878024434,1.1506381428460777,1.1339873980888422,1.345150357595707,1.2996048101351247,1.2460889637098498,1.2663857442006874,1.446802353087191,1.4344187026456166,1.4130319431984986,1.1937186915251587,2.0758245049995527,1.8952079301998823,1.404882944552071,1.732025159596921,1.4645991059525592,1.3425195964339534,2.1554912982488452,1.5171877482275145,1.5407974267835047,1.2110607075269106,1.5114575416498772,1.5314292417130073,1.2887362511345983,1.1996315139031815,1.161688122806391,1.448141823755035,1.2555236151468046,1.2328364377672687,1.2965968626787199,1.2227581490597044,1.3381685720167398,1.2622586449648403,1.4161687588699798,1.7241834838557313,1.3948291438962166,1.4802219563846715,1.255184438331175,1.6902343581035861,1.1672130692364473,1.1712948515274046,1.1226461818262359,1.1252856996176466,1.1203099188882373,1.1805170789166342,1.4697038379891425,1.149040687849623,1.1950453425868517,1.1343375506641156,1.1388713488508326,1.0781196654724803,1.1055009760823231,1.136354573160253,1.1430810471569415,1.2324703713807215,1.1892026152293897,1.1286866668297169,1.111756396853449,1.1603304206079996,1.0957745033804058,1.1172084509267484,1.115534083137799,1.2047897568461858,1.1129768139081593,1.197598507547874,1.1098862358132149,1.2176672730962488,1.2241352538048713,1.1767802768527555,1.3244885994746418,1.2900804374887207,1.3301053640079594,1.3228907484931884,1.2322566755335613,1.1671769675422419,1.1551792442764446,1.1636869540854005,1.126315835350905,1.1426469003761237,1.1204442075382937,1.145584425624954,1.187166286622108,1.179962587169288,1.1323945603876455,1.0969353893601308,1.167802530377512,1.1355007329847322,1.167720735479446,1.2686902450547914,1.2416241787562723,1.2423724516887344,1.236783460090027,1.1844023278013656,1.303392859024643,1.3152763137023162,1.2630750605426377,1.2268514862978974,1.2587051084167735,1.2176560707919686,1.27702540753308,1.2219809707542997,1.1391739204568925,1.1175011243511512,1.1929757902581177,1.252862611542536,1.1363023480836818,1.1120968830312472,1.1608280683466878,1.1267633332496405,1.1118216049788145,1.1076869325478653,1.1108796871167272,1.1248450032284711,1.1481992115572663,1.1395199169341126,1.5447745108085429,1.7590945495129773,1.3782167293567302,1.1782986850545754,1.1221185380768344,1.1225261060074705,1.0967872306925117,1.1338089047357491,1.1581698257303974,1.0965760020088906,1.0817075016987707,1.1097726134132564,1.0723540623835566,1.2436571811628383,1.2541106237612853,1.3515615059670625,1.4546606144819356,1.3543753820927729,1.270831949525316,1.183192824774558,1.1409061352313266,1.1316643903018195,1.1268545184384529,1.1112501207247814,1.0537539074737212,1.184455166640798,1.1079537871993332,1.1622389058118354,1.180137037423546,1.1594437107547753,1.1881724154621383,1.2800358401796468,1.2845086917044144,1.3740717678011778,1.4387315821811442,1.6075627698119452,2.0725373966436167,1.6032750536646545,1.332580968527427,1.7868392017920056,1.407315710472472,1.385882119946549,1.3566313457393249,1.514656648241165,1.4799739018340303,1.408843756062076,1.4695573611127313,1.4138112259531053,1.4928104458816274,1.464868224345678,1.4343878801286807,1.5529604086291913,1.545477360318244,1.4948188641753344,1.6551830250379884,1.6490884572138038,1.5967188079151842,1.5805069316325948,1.6598229920286212,1.7022352864601935,1.6534690497098214,1.7241807707654888,1.8392189536389674,1.8365244000364616,1.9069800020375818,1.9247658861061674,1.8174229718808461,1.8427687733824172,1.8743029989382698,2.353013072595516,1.9769936853291674,2.295093486946516,1.7124260774472044,1.7093220919574243,1.6846158219695346,1.6720811972825778,1.896082082847175,1.6420499989749182,1.5367796749456293,1.6338868416774137,1.6797789746843672,1.5600503560237633,1.6035758830494746,1.6851867335423554,1.789158561467063,1.7604454444016755,1.6092655659571786,1.4705822493164558,1.431708495114289,1.512840222743686,1.542714635994572,1.7997152244264882,1.698246701788599,1.609188194777366,1.491019203485081,1.49832324954945,1.5023003552637688,1.500537407721457,1.6147857219639898,1.674941822444814,1.5328988148374032,1.6353585531770742,1.7339754797772329,1.7472748938130844,1.6954476090283561,1.762946559957178,1.7088717883968434,1.671905291513132,1.574114958200796,1.630527451439203,1.7465524811769673,1.6792092669767744,1.6616210227108217,1.7537036989949395,1.7964314102083376,1.716038766182293,1.7863613726513028,2.0493772292988663,1.902170372300854,1.8542203065179639,1.9966636998456486,2.030322789364873,2.05043485245261,2.019237982797245,2.1332840021260315,1.993425880073833,2.1852624112766827,1.846251905143562,1.804454406319123,1.8318487989761167,1.798410841751023,1.83886164497053,1.9161673619468214,1.8109907209279505,1.7793348726571887,1.4895637293554933,1.4441451233142544,1.3592917156385884,1.358715622446166,1.2447663110882585,1.2871538797591524,1.7158447205605025,1.2249270000792318,1.156725759575097,1.1453549362377005,1.1523356868466055,1.370470186513906,1.2677655591409263,1.4106343712240532,2.199813767188584,3.2788950572158613,4.338302015024267],[1.617991622722897,1.1320983233350754,0.9612548875801973,0.8886600968501053,1.0012879662319387,0.8594630475552758,0.773133358876038,0.774175171885889,0.6676566867504842,0.6360651465828413,0.6153527024910421,0.6823871163201939,0.6288533584404463,0.6305262795106675,0.7060606868079535,0.6594514376636013,0.7150887972187234,0.7683871836449092,0.8810186703942848,0.7805742488587806,0.8669943382977109,0.9793530009889848,1.0213331957702332,1.2046872800449229,0.9467461682790813,0.9513624676112568,0.7907643124567142,0.7173004804726489,0.6990367530407434,0.6624159533541905,0.715220006758473,0.6814992721669166,0.7700088491677693,0.7367327611835651,0.6954777315911291,0.6757839797295535,0.6651820504133699,0.6953924899059628,0.7117884776798585,0.6784179869980158,0.954779816057029,0.8625245421281739,0.8103986464046514,0.8980658727085513,1.0705741074226849,1.1391014845930918,1.0608850186860739,0.8665104045640353,2.052929807599585,1.8457323106212133,1.2058431161415726,1.7614039912040282,1.2835708171207798,1.1128192792100768,1.9026792959996346,1.1984223066698108,1.243715439593552,0.8608226012945819,1.2693531777767422,1.1271774861525787,0.9164062330944922,0.8215992633187272,0.7946026783408074,1.1593302453167502,0.8856397397161762,0.8172117351349274,0.9782922053449655,0.8678450851221896,1.0651522449878215,0.9342398220557747,1.176046435345045,1.5887803085728154,1.1212576287717493,1.234985231537689,0.8942158742278702,1.3542848374451482,0.7968862166625235,0.8076622356964861,0.735549730560729,0.7272371174424823,0.7326106275307727,0.7649495518970644,1.3136292255514312,0.815679168874705,0.7546464991207226,0.690260512341063,0.6943918563929571,0.6968224415390455,0.7073693220520657,0.7658914348826654,0.7706116004262128,0.8911799793905946,0.8449972542765094,0.7708751656551818,0.7279178984838917,0.8058963783447931,0.7634079887517708,0.7332069522980285,0.7191088286172665,0.9934458544774735,0.7566414537745095,0.9483444515160037,0.7616306435079394,0.9029650809455455,0.9260387568686212,0.9046878663895772,1.1473701532153187,0.9975698463215993,1.0282609851506839,1.0634962197428743,0.9165479659477578,0.7971639857070135,0.7557451966240321,0.7580700587092545,0.6887076895932434,0.7406605301810076,0.7210861297114988,0.7865501768837978,0.8840438071411385,0.8216517714306817,0.7877640800275022,0.7331445058914418,0.8173089298360247,0.7432449807635746,0.7602652944203356,0.8638777788089619,0.8473837993176171,0.8469640835728557,0.8564215338102138,0.8358373814739543,0.9384934552533108,0.9901335815348554,0.8942138093446576,0.8983908154676126,0.8724066988421216,0.8512516729209914,0.9163998576567294,0.8090168249412786,0.7703160860861427,0.7319510730122263,0.9177502167488442,0.9403144900290955,0.7817007373194427,0.7214350006143594,0.7425609169065215,0.7233487611129887,0.6988412258120937,0.6982814636966586,0.6943515452817138,0.7216599196148329,0.8128270865737941,0.8099733892948473,1.318684254388294,1.6237736564592868,1.1804407570949078,0.911583401597934,0.7506414935186635,0.7887127937727618,0.6993403890919561,0.7726292093603834,0.7305665964108045,0.6729214626608784,0.675257605792126,0.6658050633282605,0.6982911466699465,0.8612743895221813,0.8459863674961854,0.9686135150885379,1.1216435162947986,0.9983804082319447,0.8739365213899384,0.7698079286573294,0.7332961005548425,0.7352355897957534,0.7065802485913953,0.7453850237882873,0.6672049726164982,0.9043569227696069,0.7139187163766753,0.7744970777885593,0.7728395701116534,0.8035099034946497,0.8395953863269865,0.8797862017340988,0.8596105685347135,0.9242064298139583,1.0092042833722068,1.196993588430586,1.6866493986433762,1.119646303026357,1.114089086106245,1.3370858006277058,1.0565183744677071,1.0396996215024987,0.9624826291424966,1.1090107546328636,1.0963555872924857,1.0583040607638403,1.1358628135178603,1.0912792876119277,1.1939826621029546,1.2141245649318304,1.1365916616482798,1.241336613714768,1.292237549877375,1.2292977883021348,1.3327910850518019,1.3776036756958054,1.3953190099272343,1.3221330691485262,1.4142464566750403,1.515587455630261,1.4707186072865621,1.4731422439325954,1.6260861131620097,1.5993623729119195,1.7345805248541442,1.6799455378634072,1.5758594025922321,1.637996975269002,1.6798471546393383,2.2585733233721506,1.8520878141806834,2.136726629096277,1.5267604076213885,1.501396246785573,1.4775184883514376,1.4476325339675165,1.5959482607988515,1.3941351160099005,1.3562870528206474,1.3897653186179377,1.4524960928735562,1.3093889837047779,1.3175001790649752,1.3478459426321112,1.4596547859599263,1.3610058778671055,1.2791601639355674,1.1709842539495563,1.197596801143169,1.3434510654546592,1.3841022799432463,1.6735899941661925,1.548839454040498,1.4283009367967372,1.3796101997269006,1.4740928300073513,1.3604390225769352,1.3633408063574957,1.5401563120375383,1.6070291522584927,1.4321383242313328,1.5417446432177146,1.672312529931172,1.6511597944885787,1.5794783150247456,1.6797354982395563,1.571399879552582,1.5361350970412782,1.4302751340333102,1.4703388004690505,1.576470209142846,1.4704016888575857,1.4464903368865094,1.5335781183667643,1.5586048071225365,1.4424224530475844,1.530964126307174,1.7822744504374666,1.6049499292110048,1.5123987425350311,1.6824856615505,1.7087504531279314,1.75564159822017,1.7361838347541663,1.8596928492645888,1.7266285635149772,2.0059735749263634,1.556263668105801,1.5046631581591066,1.5202433240312883,1.4839153344767835,1.5104530863371126,1.5866156341336362,1.4912549426871815,1.4410988372986608,1.132466581196147,1.0984784519877495,1.034183341102624,1.0797616861208683,1.083004936904123,1.2865551314321093,1.6261384535213077,1.0124139169820048,1.1193097531873273,1.0526950208764052,0.8297269680623213,1.187393598074722,1.2635171571094552,1.330199477650327,1.951138700277159,3.167024544722122,4.4783470588167145],[1.619128975406716,1.0399207755192694,0.8808752433384669,0.7842538861514068,0.9014677999097944,0.7558931071831799,0.6516671839689595,0.698331002323759,0.5552391539604984,0.4888417112348085,0.48912215406404647,0.5694698568640286,0.503011191392743,0.4579347470983727,0.5519740762303215,0.5246687679113823,0.5313976845948016,0.5762114467375097,0.6548375310037533,0.5799370019483505,0.624328058508956,0.740786552087438,0.7758155593375055,0.9570818954863562,0.7154551477938451,0.7231304233319198,0.5906927435216196,0.5333217886851455,0.523697450891104,0.5246336658402924,0.5776024311000932,0.5943510220511238,0.7115654375429015,0.6671228021827967,0.6125700686806884,0.5353548752225619,0.549579394452824,0.54573908362721,0.549225206142247,0.5438614513173443,0.7881575966184542,0.6622787180025231,0.6291660461445454,0.748575125286252,0.9470143263444809,1.0436571025322698,0.9299220457000926,0.7522805680421114,2.0455086679759984,1.8422302846929721,1.1780034334198135,1.789774406755259,1.2752416313216828,1.103837673596005,1.8272114317627814,1.1072456398511281,1.1817793026665822,0.7320974822500307,1.146102266925278,0.982330550512002,0.8249242346581782,0.7185041799355248,0.6832419565361836,1.024512159332749,0.721443647570649,0.6404754514464027,0.8164749653826733,0.6961599536245898,0.8904048763151461,0.7663037270925581,1.0299278828508098,1.4578277019546992,0.9917796190240332,1.0686690762748907,0.7526469005758182,1.2291483327216821,0.6625937931279304,0.7023572101581345,0.6259225321151135,0.6183603952824462,0.6252370455013063,0.6736181848673679,1.2788908634621134,0.7546654958722088,0.6597946114306179,0.5943950902193849,0.5628223259049648,0.5933739281191355,0.5594345272977095,0.6623086591000921,0.6711540740571444,0.7824302535036229,0.7469879169216536,0.6990331018675061,0.626340044198828,0.7242061559509138,0.6867601007421137,0.6816637709806699,0.6608952893227951,0.9311246803226625,0.6998008906612537,0.8826282634870858,0.7027292889551582,0.8418526238379074,0.8726321379903902,0.8666172936216252,1.113217080270652,0.9374158418757739,0.9454391172128471,1.0091350823534118,0.8452892730510297,0.7206942486345336,0.6505539253301946,0.6223646853205853,0.5146679140785376,0.545866652390358,0.5481026155501727,0.5648332512284183,0.6581379132560827,0.6596748792007373,0.6015115950827145,0.5540027739779959,0.5673921579152876,0.5299968954624422,0.5824934347515304,0.6883487394622431,0.7412818858293719,0.7435885153055944,0.7681759846879209,0.7763600010931858,0.8605394279366667,0.9364778499066263,0.8100689971749628,0.8715993421728762,0.7642751631079164,0.7313203377560923,0.8187919739798618,0.6825037684485656,0.6255173552750402,0.5727238792414127,0.740183995593165,0.7429401269123558,0.5983939530002474,0.5482647120875423,0.562401417433912,0.5507359456327884,0.5415059047684193,0.5827105679210343,0.6023693639686096,0.6198083862538042,0.7570638200270267,0.7313602204471877,1.2466478786031792,1.5533264668082811,1.1030333051541874,0.8439171266828426,0.6722215203945494,0.7234537773995183,0.6064773051191219,0.7288680366768072,0.6522914300663082,0.580545379856835,0.5616420515726374,0.5613386367981998,0.6138023102574458,0.6880782723090534,0.690588206415714,0.8273286726773017,0.9947535900611947,0.8701817391141309,0.7424968774874564,0.6245546636413399,0.622867391014537,0.6579174086149717,0.6302458785791059,0.6678237637526643,0.5902583513477416,0.8473558246257104,0.6450816552153771,0.70836644645121,0.6987377365757216,0.741044222203155,0.7680674181786478,0.7596961326963809,0.7313972806327553,0.7803866948452975,0.8759043295952446,1.0891165683787027,1.580015966076953,0.9545782276052327,1.1491516656837106,1.1674148419886183,0.9010559968400343,0.8890453326285446,0.8443475855199254,1.0124245640263734,1.0257577176699793,0.9860751400894566,1.0656694201468462,1.0306268513788657,1.125490576918859,1.1570357193772998,1.0754002252376744,1.176560465240508,1.2305099441789011,1.169884603056132,1.277518820347353,1.3094469786679068,1.3358822926431244,1.267450821882677,1.3722464258860867,1.467166167834396,1.4103276505846578,1.445493740396192,1.5908580501316594,1.561808192619482,1.6538517055533466,1.5995237513390228,1.5037421685196164,1.5597801746968316,1.6010177707214088,2.270481867013466,1.743805757847041,2.0465213597332363,1.4533376668267006,1.4376313920504629,1.4109167644143192,1.3783519996201643,1.4934493696326292,1.323182596134502,1.298889638739348,1.2974064654702548,1.3686785002865096,1.2285480008450878,1.2649399048195404,1.2720630665279584,1.3804255979957738,1.2713356667848472,1.2028891666036345,1.1065607808918352,1.139398194084369,1.294065297261875,1.341849963767084,1.6379747511098979,1.5077818074857432,1.3735525649440445,1.3302734162644494,1.4124287126135149,1.308504551023239,1.3114257939692002,1.4804584906980338,1.5423228293893279,1.3826568948706954,1.4703474329010016,1.5945983063398643,1.5858860415781106,1.5043375884271004,1.5972456472515395,1.4944494127885404,1.462339719553226,1.3691033091625902,1.4000103802898662,1.495741306072843,1.4062872170576957,1.3826142255898957,1.460196519365398,1.4891884026826254,1.3794997153660857,1.4558567490938739,1.684672459683495,1.5294424803146562,1.4200714979269569,1.571721465576347,1.5931480815032133,1.6690384254359374,1.6591601556894344,1.7527302354719876,1.6283441119390532,1.9692209008247126,1.4994409026643096,1.4359398321810692,1.4445323464764075,1.4275472542242804,1.4466660386613595,1.512681960985389,1.4176717553427405,1.3770020387596615,1.0760870862914544,1.0329928954764092,0.986332611414311,1.0151614270197775,1.0140861862243848,1.2436362215039132,1.5681159493248114,0.9375618152946612,1.0838783352037134,1.024480364163581,0.8213091695406562,1.137738766596907,1.2386034324390214,1.2947791575722574,1.8634444556800875,3.086804137435323,4.465908265960946],[1.5540673316053204,0.9220551757851286,0.7151158696738683,0.6496807450397881,0.7499685002421542,0.6793067980169639,0.6176279340608345,0.6744290441002969,0.600910421862946,0.5584682696425399,0.582397667735394,0.7015345583697825,0.5986232038814132,0.5674057421312497,0.7126312558240154,0.6711494296402558,0.6726687961852754,0.7324354588659902,0.816091194537779,0.7417410350606175,0.8110136923693909,0.8971905300086022,0.9470287176654504,1.138856173630104,0.8415497826443721,0.8483062634304644,0.7006924244605615,0.6286622724925537,0.6752585350401914,0.6728285156296413,0.7537181958043112,0.7467555262110602,0.8295098517500146,0.80802255106561,0.7551834071316548,0.702025461280879,0.7092032319146649,0.6684146757798403,0.6428345480461667,0.6201734916336505,0.8268113979789539,0.8032421053342889,0.7636099236500372,0.8084213859544441,1.1024725719640298,1.0519887651784865,1.0220164243591319,0.7658235769503781,1.8890050776045346,1.6177607809172183,1.071970725379433,1.6573613598045867,1.2402069159889946,1.066921265754837,1.8412101430239338,1.1513553501859675,1.198603441200608,0.8355506423342319,1.275342761167363,1.0731549697998213,0.9311765463100061,0.8299527038520358,0.81130943674717,1.1549129975324364,0.8700461157061954,0.8169069354330808,0.9644708986869214,0.8534635996516188,1.0450351109695684,0.9009376130054705,1.1250935403212776,1.535810367906258,1.0935819830716844,1.2063800338161474,0.8854082047635057,1.361754255219249,0.8099187383271784,0.8439403480567246,0.7765929220597773,0.7499981369450895,0.750492565850549,0.773866901742794,1.383861053004391,0.7705673287959401,0.684686362159784,0.6779829118699509,0.6924476070226688,0.7621709993826519,0.7349215018611492,0.8245803682998706,0.8018260322716793,0.9206610006124909,0.8817762808897641,0.830186500146731,0.7854512459018738,0.8532774604504587,0.7989655700436928,0.8020987955564782,0.7858791228993446,1.0302436345325097,0.823881596094997,0.9613059786756941,0.7889667750178352,0.862275349653828,0.825338398741579,0.7772683316934027,0.9922466131447217,0.7857680941486509,0.8000716479158755,0.8846933783846803,0.7255510394435389,0.6456816953805726,0.620123067567077,0.6069983800353848,0.5857813394071091,0.5891953083036473,0.5800939290078244,0.6407072762215824,0.7828657608500644,0.7522479595541068,0.6800769755833331,0.6165289114237653,0.6620745000125623,0.5883337072128327,0.5873115677991694,0.6351766430747319,0.6528357884913722,0.6666561168108884,0.6611191631959211,0.6821770150323091,0.6979504406535803,0.7512236235136424,0.6678607260214625,0.7369411369634501,0.6835801262684131,0.7086632722368434,0.7041792656254114,0.6118340148788292,0.5918759855051573,0.580661354201672,0.7647395395663653,0.8034878182875316,0.6614307003144638,0.5868799715491995,0.6092704230589687,0.6318729488076248,0.5906126413512648,0.6261852101525273,0.6217377653151271,0.659033834368059,0.7575622638574533,0.7869660210026974,1.3397150190215947,1.7192639288537253,1.2244639300548048,0.9377976570448842,0.7778413460178885,0.7786723613580461,0.7127989607327251,0.7227878750577734,0.6243744500596395,0.6228203732673574,0.5600757762014986,0.5695726057773935,0.5814266049831373,0.6602620551844878,0.6564780354963738,0.783342955028104,0.9363175847508307,0.8264988413732368,0.6796078629786183,0.6104975343094186,0.5948982533390759,0.6100721175978349,0.6331395714472134,0.6931661676218016,0.6902671653675294,0.9457782141311818,0.6831209988544958,0.7386833085723239,0.6592408645707672,0.6773698353492525,0.6765019506357107,0.6799288432881702,0.6550024773684652,0.7488339713818774,0.8535904702728268,1.0726399440835888,1.5855660710010562,0.9896696054927233,1.0618197384397847,1.3107134103402056,0.9233363696061858,0.8521500878991461,0.7077255371150024,0.8400227803234519,0.86046342979004,0.7775906172776953,0.8365037151189714,0.8269511203387832,0.896633835002901,0.9457582635897351,0.8687793366398728,0.9312429877571978,0.9876232038762799,0.9620279599465271,1.0337053948986656,1.0407806893187035,1.1245410109126601,1.0457002987327964,1.1081784130482697,1.2156558443602725,1.2111579845998828,1.1945350160385306,1.3144986342837535,1.2775736718995938,1.3667098250804446,1.2919560574721913,1.2004439641353235,1.2589309111132179,1.303878558564684,2.0918961700984786,1.4040478262478593,1.783605360683406,1.186215181813149,1.19514051078565,1.199819715830524,1.1487190283923332,1.2719054095980302,1.0533369422190917,1.037492615317119,1.012121765683207,1.0814282679847105,0.9546103654784606,1.0507609057177885,1.0675936778515394,1.1321800915395606,1.0833266046319223,0.9380933634056356,0.8918733385131915,0.91452045147531,1.071760789910003,1.1528782952302428,1.4472840885839733,1.364262201319544,1.208485683873111,1.162869498123356,1.2770613710449104,1.1644373607763054,1.157100194226185,1.355622444150355,1.4373988084517548,1.2327276833351466,1.3085562088255502,1.464655512462776,1.446014047142415,1.3103621826607081,1.3935572758030965,1.2635355983412901,1.2384128481016934,1.1553655621189332,1.145392984440533,1.2266016950434306,1.1382349889147148,1.1093898537332831,1.1553997085838132,1.1842011463041564,1.0809770551596498,1.1490035077787162,1.406219412990788,1.242781975017917,1.1520814321916035,1.274041948945615,1.3594943112372186,1.422183907781441,1.398034904005174,1.4921040670954109,1.3830216751155402,1.6601541128398982,1.2514720910673731,1.16441432632878,1.1645088890380364,1.1830688021610778,1.2045844772582832,1.2845526892235626,1.191954997037427,1.1120562889880947,0.8588054770779925,0.8109426537267346,0.8006954784466486,0.8509825817364353,0.8707399912960442,1.1441646103906475,1.567660448164774,0.8110164065311714,1.0300984715533887,1.0545466458204873,0.8436860621965514,0.9899579498558174,1.2520143785429154,1.3377740841985644,1.5414022987535267,2.6190302080902073,3.834937933626165],[1.6220634297397312,0.9865460596980075,0.7982674246502215,0.7446493821943231,0.8305345325254354,0.7431439169791515,0.6671491640598307,0.7039714700534843,0.6332956131683863,0.6227053027470386,0.6353637924788228,0.6794515722337404,0.6411252702872787,0.6689064505355782,0.7805418014198128,0.7158920997207213,0.7526334694119935,0.8390365093366956,0.9673422099523465,0.860801483108005,0.9751149231952533,1.0251025719699995,1.10850206796141,1.2929970327635598,0.9975035820332131,1.0074372378037695,0.8314813885950202,0.751656778400646,0.7665278478476645,0.7051812080944153,0.8041780541474319,0.7295402590281805,0.7902058628263412,0.8023557116601963,0.7503195954781272,0.7382076941143375,0.7175211454209037,0.7288202581478482,0.7260365818237579,0.6948989639173474,0.8956311420848099,0.9114937773670461,0.8646607014765445,0.91482668545479,1.2397871201756325,1.1765187459456057,1.143898982188473,0.8719326636729315,1.9362521014224041,1.6589574209172413,1.1343219397949655,1.6711768354089183,1.2475809249053122,1.105208004209507,1.8135000471657692,1.1210797007193973,1.1708176436178226,0.8585647710701635,1.3004243125005066,1.0805747963493804,1.0303432123972251,0.9200310935382857,0.9007600124081794,1.2454555003978616,1.0070898764982472,0.9099880849808091,1.1260968696537654,0.9817607877482284,1.1888371066847019,1.0315070870357257,1.2364152538729885,1.6195918170794465,1.211544160987095,1.348798187790274,0.9809056716572317,1.379724733947216,0.8938430467758783,0.880517585826574,0.8018787872909714,0.7816832844094709,0.7531882990190876,0.7655009320182841,1.3823850811749119,0.7711269498330027,0.7204622684675841,0.7031405624969904,0.7276754352298894,0.7696543860634154,0.7800277011228891,0.8283472803730801,0.8463357925992921,0.9556812630713573,0.9093815879466598,0.842680804643649,0.8053563910825051,0.872133429599974,0.8245230511575842,0.7536170911069582,0.7138087942478251,0.9699412522622409,0.7479018149835042,0.9044999847573685,0.7257002218488633,0.8282148485942382,0.8278186355699441,0.7887504975748139,1.0101391444372652,0.818177745864876,0.8483845107750969,0.890516958891458,0.7644400261480171,0.678414521523854,0.6594423096984128,0.679263479200634,0.6648851742582462,0.7184825243804377,0.7182008337795469,0.8201129806186226,0.9928901821875897,0.8813800710372246,0.8506555247930717,0.7746777292669283,0.840187251596989,0.7325312125983684,0.6799383253583388,0.7251229632931439,0.7108131001125256,0.7216377077773705,0.7084560262314432,0.7099991231110387,0.760234868561795,0.8013076772312605,0.7159950316144715,0.7703688319219559,0.737391396814541,0.7660650837271031,0.7912811343689313,0.7204322446945459,0.731448745840024,0.7294711675121098,0.9263849642816737,0.9755062048455059,0.8312343917131488,0.7393598565249605,0.7193361478204576,0.709791334023135,0.6802158640620226,0.6825555152622059,0.6393043118717044,0.67136436233299,0.7545506637918054,0.7539776398750669,1.2428670580941439,1.6571575661118467,1.1689161379402182,0.8634938911456809,0.7114262327835835,0.7328909127573775,0.6807208200308285,0.736277476303586,0.6378365154810175,0.6587984361345671,0.6592451676389054,0.6547784322277139,0.6711084676147528,0.7839608196077998,0.7514418007692142,0.8863482530508546,1.0284998858650332,0.928166087810224,0.7687154867499372,0.7086658325935882,0.6527826663984309,0.651181176932523,0.6598795847756841,0.6854572854465277,0.7019830513381614,0.9362665091288861,0.6991501409325058,0.7374566926732431,0.6869575365407949,0.6843429459672599,0.7007094424390342,0.7011859971323257,0.7009863060737075,0.7885405278691776,0.9131106085558047,1.1483257758264216,1.6173479560472477,1.0351299543233723,1.1227778680731801,1.3354565508172103,0.9566015513572955,0.8898066481915102,0.7702642929684311,0.9315431854304806,0.9572326342205391,0.8412491033304499,0.9134631649192312,0.8845725088092249,0.9698373778041153,1.0075855474237252,0.9300193492972992,1.0235405954795527,1.0805238616160788,1.0371856553024628,1.1361855535801666,1.1552180287787772,1.223963831742471,1.142628573802466,1.2286726913274393,1.3431043814907857,1.3147852645349483,1.3099435693745842,1.4602701258890116,1.4119047286536652,1.5393663571010008,1.4495246578275505,1.3522194842780726,1.4217502193079696,1.4549678109858883,2.2078155943182765,1.5940879751165193,1.9116857919574721,1.3274902987107635,1.3215288634663025,1.2898028908054797,1.2379289128495616,1.3654267005168217,1.1655484882572409,1.1404130631855043,1.1297036258197268,1.2010625302551692,1.0522874843231482,1.1111169296164043,1.1544709861296518,1.2441996170295988,1.1594514784251102,1.0327503351568947,0.943301509342991,0.9926755948042575,1.1630328545932507,1.2388244532976722,1.531547535978963,1.4152057011387973,1.2691568673766405,1.262476425091392,1.3923229027729755,1.2390221239220314,1.230831166410326,1.4499855899414094,1.525764186322254,1.3181703935687357,1.4113607158539696,1.5731501760518851,1.5491126525362158,1.4346121593265664,1.5390950449284337,1.4013467788126581,1.3684616293342096,1.2640186373009625,1.2784285088651686,1.3781368721524945,1.2649759193553165,1.229559060230444,1.3075822046298018,1.3358958227205155,1.202715821744577,1.2836599142355,1.5524276073227194,1.3750556799713087,1.2799335523511424,1.430711490194958,1.499008470805102,1.5503487297536709,1.5249805251060957,1.636432499841256,1.5114803691389698,1.7996934397452713,1.3665451635243269,1.2762015980159138,1.2794422117789004,1.2807924398004025,1.308459587215699,1.3958602189817433,1.300058918802355,1.2224750493418213,0.9439896054253702,0.8893769593738886,0.8606999077401147,0.9008093865086767,0.9285661521715043,1.2238492851637492,1.61251928507884,0.8634316509969587,1.08506632146839,1.0790537268031593,0.8394564268140773,1.0568861446116757,1.2886466900489977,1.355898277140698,1.6373979030221484,2.788860267619083,4.090196671925129],[1.9201305961771207,1.3352899843941477,1.227679861767995,1.0864717562077955,1.192145162365127,1.0684715722710876,0.9322781061801855,1.0462561530924566,0.8496790462200988,0.7322655346121731,0.7001531827504223,0.8570051959890868,0.7560555955132144,0.6438420984510131,0.7575259719029472,0.7657046506539074,0.718320973512046,0.7173093647623241,0.7750462504923036,0.7375453198827121,0.7435576508312993,0.844022647910628,0.8939484255891764,1.0420029596247655,0.8012605126310314,0.8185736016806013,0.7207128614971399,0.6930626187126524,0.6855123712775537,0.7738870046028373,0.8044474477186654,0.8746359170440163,0.974383377420449,0.9363653069796565,0.8887474706977605,0.7761821798755281,0.8299036859853101,0.76858421785473,0.757342909539209,0.8057091880666682,0.9148956282282171,0.8163020100297418,0.8029857315726288,0.9029328768583041,1.0683006394966865,1.124688690508025,1.0531797496106308,0.9546867133721751,2.115184112873849,1.8868344982774157,1.3795011972275963,1.9383921211169077,1.5196066202439784,1.3403476486428028,1.9681453047801687,1.3001358223649275,1.4240351822367223,0.924880213481322,1.204783067023188,1.1308459762196796,0.9777659790811623,0.8976265405383361,0.8837597891484726,1.1496413329839952,0.8583397412722796,0.8189637182695978,0.9741213598636996,0.8378961105752427,1.007863393262823,0.8480187037728004,1.1328882980822608,1.565092084929135,1.039030342109887,1.1371032088907114,0.8628714454841034,1.3811628602354444,0.8224571071682244,0.9177805405704087,0.8489319723781019,0.8513573006129336,0.8616544983572706,0.9019971452264391,1.5089536499217078,1.0415677791752858,0.9068430563942927,0.8549056178874667,0.7930964635197079,0.8685515250946462,0.7822738317246568,0.9112489596937831,0.8760936753455307,0.9694268636378097,0.9253468363842882,0.9083763118059217,0.8422115988938295,0.9130010012655493,0.9180425412749212,0.9438302301155393,0.9655377492736735,1.2393025686275383,1.0273240653371427,1.225341287676213,1.0628614531009208,1.2041671920986863,1.2178160207955744,1.2492888641086202,1.4937035816246491,1.319778051238413,1.2975907507136504,1.3596386092783346,1.2122578767817738,1.0301117045323949,0.9503491500945502,0.8982276159478634,0.7432664552515366,0.729665062347553,0.6880198413787991,0.6923627339866143,0.7270964224401294,0.7723378314851804,0.6971583645464465,0.686836525475649,0.7044030925605449,0.7266441679204622,0.8175148880448796,0.923210466126012,1.0453149794365375,1.0349857082897558,1.1070109850444718,1.1296286872098138,1.169966847360967,1.280096989250241,1.1241293442298221,1.2339626387264693,1.0303368127600132,0.955579544554471,1.0537724503229464,0.9060077113437981,0.8139993562983004,0.7772434691727845,0.8442647858708275,0.8534659772962614,0.7410140778399484,0.7272947399488089,0.7423462148984821,0.7679171112630813,0.7545204559879328,0.8320129296978315,0.9178276974196804,0.9313876515579995,1.132642831707676,1.1144685049397707,1.558891062770676,1.8307173609903002,1.4252397693753278,1.2296266471210249,1.0226219508015177,1.0924707478249245,0.9413062015083855,1.1044777097434282,0.95311654831404,0.8628822012406373,0.8040030093018924,0.8118935100976173,0.865025610583518,0.8552881581533047,0.8817613421647219,0.9392513069323006,1.069869996911244,0.9875182430736732,0.9332776956615702,0.8554662766296411,0.8981730999511108,0.960044018543659,0.9328650544027018,0.9795703512230622,0.906451246948752,1.1170099760225005,0.9529492981819804,1.0019725888013415,1.0132536029594792,1.0969140482371829,1.109554515488981,1.0493784104855453,0.9806283730585492,0.974316685860946,1.0518459279646033,1.238300923254802,1.6946892361871781,1.0976955121100305,1.3628429270359936,1.2939567485143544,1.064324207378476,1.0697467168922457,1.100269853888417,1.2670422118264657,1.2679999986699648,1.3132451693870881,1.3928568603034082,1.3923640148975942,1.5146453838979634,1.560426378965293,1.4550742355614195,1.5497146089926754,1.6399610960342204,1.5813105855987142,1.6267633356193558,1.6964177924184514,1.7834075375757006,1.6723721240347638,1.7661221947296613,1.8985918358227873,1.8410204551225933,1.8236458726421745,1.9853598043233531,1.9179992619742507,2.048677173563513,1.93990105971712,1.8838043209764006,1.9752150205817365,2.008252135963939,2.6158642892728334,2.1443148348089736,2.4102558309856383,1.911580906653534,1.9110080087422174,1.834493727132385,1.8121563538186163,1.8952165669195675,1.7444308075460337,1.7155561682048952,1.6955955671041232,1.7561682415659974,1.598775287437613,1.6225075588422437,1.60241076557696,1.6673806296578029,1.5515105710833907,1.5601342297361986,1.4529800324947129,1.5247119621978866,1.7120101744960525,1.7573403954916924,2.0818255363771443,1.9140286357792142,1.7423077740466684,1.7999539942629974,1.8796489349381202,1.7519658430115976,1.7605086875582365,1.9547786166985113,2.0000149831959315,1.8501995139628264,1.95065150656459,2.0704054679180484,2.046427549029105,1.976158174646681,2.08058715795385,1.9691488990601276,1.9456813603678398,1.84280386868683,1.8752711232227417,1.9626215741671131,1.8490165628386863,1.8128774913622117,1.8864171969751808,1.8931813545225133,1.7607771300112836,1.8512546117054691,2.0252269114346273,1.8543235764835353,1.7449361907584235,1.8809719241844935,1.8683578137841166,1.9411688796054294,1.9285671813428842,1.9959008686692081,1.8570333179525762,2.240971837108133,1.7726535883039,1.7392557691486512,1.7377622561195751,1.688179048250179,1.6948569198707288,1.7458822236449625,1.6717018800315318,1.6729469588859078,1.3853936582173878,1.3584277897052803,1.3051539530085536,1.3907705952458154,1.4091195308207038,1.663267639739123,1.833648101602108,1.33535651406622,1.547299748439599,1.49533822699964,1.2536672027263775,1.518459074906963,1.6507882603607842,1.630242779785724,2.044616394142511,3.1884587939319227,4.624128766562172],[1.560452757359271,0.9148926386644858,0.8193616212763518,0.7051615245400459,0.7858146785832072,0.7055325894843293,0.6212986553716723,0.7333024039180065,0.6136201699895913,0.5424875712070392,0.5620699338449197,0.6908164020517452,0.5787261687896422,0.5322547386424064,0.6653512440413551,0.6287452847137251,0.6340428546714085,0.6746580404558014,0.7425208190361363,0.6853216006883275,0.719569440832961,0.8102964725754527,0.8544627625128137,1.0538914100482937,0.7208470151808933,0.758061457001844,0.6264255571875667,0.5774260756147757,0.5992363358754281,0.6469804142020474,0.7162974105916139,0.7171638069210212,0.8318613008597331,0.8039705190985946,0.7485394455208287,0.6749679239980672,0.6810102061783642,0.6435979079971695,0.6149319153937136,0.6348504962927362,0.7990830832339894,0.7521423436255638,0.7522225975110165,0.803421563253189,1.0274474201057333,0.9822205074216395,0.9347755100733603,0.8638435798350149,2.0294726378351964,1.731609274817104,1.3226558256153729,1.8020855568798253,1.4511372876312951,1.2689068322001997,1.915914957887801,1.257777234582038,1.3745804821319054,0.8527722435494747,1.1684658102135566,1.026914339395527,0.9172317487638895,0.8314450204032524,0.8091604448366686,1.1198598147207586,0.7952379242458314,0.7552782335669376,0.9685415770912755,0.8060990348614981,0.9762423645303904,0.819554328589608,1.1140355335202583,1.572958773426764,1.0379028891609408,1.109345390212088,0.8354564307182931,1.3413493845337412,0.7717589431723771,0.8253374560412443,0.7579559201553265,0.7537949598445467,0.7154229790267432,0.7583546943291197,1.4022198482827037,0.8395868258664814,0.7127907455218325,0.6683797487064832,0.66623994131883,0.7647811600554788,0.7027703902489066,0.8175148024707442,0.7940476650660697,0.8961008021607998,0.8451420806912668,0.8104749945484757,0.7511984494881506,0.8369987354675156,0.8399144551120608,0.7984758417137641,0.7807100937666609,1.068891152980419,0.8241107531757305,0.9922578558386453,0.8177755045336482,0.9095310806191457,0.9161307832731048,0.8816597734211579,1.1207880301869775,0.8931802092525145,0.9009923728880282,0.9489875398131469,0.8256316363583672,0.6965279948757576,0.6445902459897231,0.6062816561645498,0.5529304779061965,0.5406774040204197,0.5364441472193267,0.5604938254518331,0.6741106217572164,0.7491415719216504,0.6283825583085844,0.573392613154154,0.577881424989425,0.5397939808111019,0.5794010578851728,0.6383277449247795,0.6927649925517706,0.7134606116252966,0.7262492740527211,0.750925867032729,0.7676288961678766,0.8570310354910577,0.7211375597121892,0.8424517176153276,0.701640313634468,0.6928045154891737,0.768384234636708,0.5933948161423286,0.5606270227614851,0.5504306538282082,0.6847122081232403,0.7098665007580723,0.5927480791234798,0.540849522278715,0.5637069924798341,0.6078174767245778,0.5606999462552376,0.6200560494918336,0.6673019184109762,0.6697082334753319,0.8149246474443724,0.7945604016892771,1.262031478358279,1.6132448739441876,1.203828548220007,0.9676138408949179,0.7783124901794124,0.7976326795480597,0.708629445491575,0.7942630885408981,0.6703225556447154,0.6255883454426436,0.588182643807193,0.5927100980599903,0.64353771595369,0.6805867741420569,0.6316314714519266,0.7283115497048993,0.8829595001417064,0.7803248189192716,0.6720193894743324,0.5827165338207554,0.6599510837698711,0.6876397499706235,0.6691162293289119,0.7148422592494756,0.7008437891351093,0.9600632951547872,0.7075885005168698,0.7796643226413018,0.7195183145574853,0.7606373399280132,0.7739990588756357,0.7399024309713962,0.6930890903847395,0.7776970452210474,0.9009918399392293,1.0993767235107776,1.5379308275186272,0.9225477233181609,1.2263063083563919,1.1133372964933759,0.8024842479886936,0.7753949651201121,0.731308502558546,0.8698527807416397,0.9549349789948774,0.8781294205693496,0.9380328029085944,0.9212692237094232,1.0215800223898146,1.0779084253861357,0.9731068065108609,1.0487537756361127,1.1425916113808279,1.111076799249296,1.1447483429486849,1.1679624508712123,1.2965734858047213,1.1790749846302078,1.2343045929721532,1.372666342499547,1.3627411369334443,1.2991721437234025,1.4370744486898224,1.357004301000604,1.5085817316389192,1.3593061221874825,1.3231350639095711,1.4161808773899263,1.470587401262249,2.451844500528837,1.5824870384742444,1.7909343678705536,1.4059154866401413,1.411210064839288,1.3782570778897136,1.3211634351988064,1.3721237271466726,1.2124600354360477,1.227606560236866,1.1722709198630517,1.2236462745272758,1.0888647970883647,1.1769388894982549,1.1313286939196185,1.190198153767991,1.1400061176636083,1.0501461143639472,1.0362570774158295,1.0800870879964999,1.2539312144033252,1.3389740406653663,1.6389281248592962,1.480347080354428,1.343893546392795,1.4003645362565282,1.5434685234312662,1.3544003241523457,1.3375710439246775,1.566733071792097,1.6318519778689957,1.4159379463859154,1.5132872223430918,1.6771124982632404,1.61753806403451,1.5087213399785357,1.622529789099176,1.4735647786875523,1.4595524642827138,1.3680710036603985,1.3720951548223779,1.4301518228634078,1.32182714210654,1.2856213022583949,1.3309044506784373,1.3301149181600893,1.1901784917281295,1.2627066744402209,1.444443400487496,1.3162715578990356,1.2189719191402038,1.3379823828284245,1.4078900103640792,1.4763006470895292,1.4549656702305909,1.4843870520472584,1.3606432191956115,1.6536738631634236,1.2673881775471427,1.2016416366656222,1.181993720688636,1.2194683596872862,1.2229752634866455,1.278251236912849,1.2179835822874667,1.1959601292093534,0.9483686300217286,0.9079825052687474,0.9096266581825013,0.9286836166688446,0.9971968312865026,1.3339608405287218,1.5637800573547598,0.931558909361036,1.234625213224965,1.2050403559232457,0.9976386644410253,1.0598208721343714,1.3674609220769531,1.4394691676563955,1.6269351385412956,2.792993875731784,4.22396300199282],[1.6006601271053138,0.8555696190950614,0.7192174715521563,0.6003987133130163,0.6326908859390628,0.5763694856277983,0.5224354602088895,0.6414614892627795,0.5376421492382227,0.49110940347355725,0.5251116052261027,0.5982354258495681,0.5172403282738715,0.5349416199770333,0.682983943267667,0.6195595275210309,0.624873385875443,0.7049561825017397,0.7859983563499774,0.7127814320420095,0.7707406411820424,0.8096221592947416,0.9180324739377257,1.1085911151576704,0.7577950536995035,0.7976175673541244,0.6497905482301828,0.6086441394038653,0.6147174762982055,0.6360339074708122,0.7426493988762417,0.7067058736085493,0.8160218842725647,0.8274260700042567,0.7424551238597895,0.6966793623655096,0.6584462235875522,0.6221330829372186,0.5860888163407997,0.6037415847515465,0.7319274748334811,0.7254906831172643,0.7377746283275327,0.727131174338183,1.1092291575568232,0.9559508802483772,0.9848302078487626,0.7925119869023892,1.9053711663294637,1.5314368199491672,1.2351903005870366,1.7447375816311936,1.4394256732417003,1.2621116596252486,1.879142971120485,1.2103171534519879,1.331322905475271,0.8850269016763715,1.1983152612909729,1.0034627974813222,0.9588383923563727,0.8933672484884598,0.8647873287574859,1.188163676177309,0.8702098636136768,0.7999586512796126,1.0474086788366546,0.8485713225847532,1.0149953380023742,0.8625196112431599,1.1450234780288022,1.6237261807095758,1.0920335621601613,1.1850962394460125,0.8777620947251299,1.3528395443307504,0.8100655999885599,0.8624677653233113,0.787019892335003,0.7600445375217996,0.6951638255486952,0.7230715757383946,1.4683711194290756,0.8227954407809581,0.6253666687888956,0.6188666376176106,0.6669817182083639,0.7773230383443362,0.7363139625036169,0.836824993842257,0.8081569193999159,0.9495124579009179,0.9033761870564601,0.8568838171866155,0.7813328528162828,0.8765431175554645,0.8533813089495822,0.7680937266736891,0.7251715990276971,1.005048302006305,0.7698440376498359,0.8949730497699369,0.7456828716300578,0.7814505471060441,0.7970326667777635,0.7489681713512021,1.007727652080366,0.7222978140646364,0.7306790583057715,0.7947388205901524,0.6589354177797468,0.5516174622675587,0.5369311525144231,0.5646274682829263,0.5315728797845893,0.5572018080109513,0.5856433539172377,0.6250344169081501,0.7424267881342586,0.7908745739284733,0.6851246188040191,0.6236673137493806,0.6138652117041095,0.5559955412969265,0.5433170594241336,0.5524467098434965,0.560958627740401,0.5757280457195312,0.5822100875333022,0.6345301314660731,0.6026836930439706,0.6844168380770645,0.585810260235796,0.7095838341544731,0.6063891094222446,0.6268035359821025,0.6785339908353354,0.5305148744974724,0.5684824654738658,0.5593222044866263,0.7489396394224828,0.8101795692457023,0.6780428293443392,0.5604234496491146,0.5566440059916703,0.5727233586879447,0.537504519676798,0.551049761618453,0.5870803378399707,0.5628443865274224,0.6742719797722452,0.6589208033618789,1.1098069067768246,1.606868226286882,1.1331809743742542,0.8549639979815578,0.685785584786226,0.6866909627812564,0.6474569262558786,0.6788803725128186,0.579992215181654,0.5817974372311532,0.5574747026519855,0.5268744116631968,0.6345288204569138,0.6392285536381261,0.6013629095450641,0.6759433088554333,0.8243860530897892,0.7501390665011058,0.6309194253560386,0.5440052797855848,0.593882426354158,0.5890403562278252,0.5844807858422164,0.6636315706519389,0.6794386817674974,0.9750206783063333,0.6784570563582555,0.7231366683012472,0.61368358707325,0.6381250569460836,0.6473067781551995,0.6141693368801172,0.587668420236072,0.6615982201554689,0.7458359057381532,1.0384728736305913,1.4114004947510723,0.828534678939652,1.2852087655076894,1.0870380019725001,0.8005455205858605,0.7296663246971348,0.6044908648278483,0.69612022691289,0.8243895716065777,0.6746833155251486,0.7238688765791635,0.7065223509681516,0.8058760347594625,0.8683843216571389,0.7595074255927443,0.8334523368277207,0.9338893889815089,0.9054124408718218,0.9390003106506036,0.9611487965525878,1.1113341834694541,0.9875651596220576,1.0559692835662786,1.1975192389619806,1.2015774762991784,1.14833553756706,1.2881144071056518,1.1941344030644978,1.3493461456892126,1.1976363504713308,1.1391075152699297,1.2345585042231095,1.2779714504417017,2.3758099249353077,1.415862843624527,1.6747647576116855,1.2581702676499902,1.2524710026727814,1.1849736071235595,1.1307869151445602,1.1749015201048016,1.0092407944604842,1.049879866697616,0.9664324810218765,1.0151376383323845,0.8911503939073854,1.0321520243184996,0.9393013417456938,1.00296801769953,0.9247282197943182,0.8256631373077603,0.8530230026618285,0.9214289346389124,1.1049653916363116,1.2288606485406086,1.4619822529178617,1.3541770329931602,1.2394179698840555,1.250892768735352,1.4439072401581161,1.1947328528641714,1.1862184139521363,1.4431061067612077,1.5064583310318205,1.265169264468587,1.3659975227001084,1.5456737369436062,1.4572186962951708,1.3576188152508673,1.466407747298294,1.3072413004117716,1.2863323989485753,1.186374833994034,1.1810014475472235,1.2336067888695144,1.1092328593499092,1.065243862554309,1.117800084582113,1.1327812573732772,0.9905693320412626,1.0549561648345784,1.2753283652158625,1.1527155704357428,1.0374362059006217,1.1656901000336506,1.27438865274387,1.3514629305706365,1.323167053393787,1.3596638326919646,1.25130606707596,1.526878977559203,1.1533299968321855,1.0415054418203251,1.0213920627767743,1.1066454482834873,1.1137230499749629,1.1831545022545176,1.1370199587673553,1.0138507622358688,0.7719307359026102,0.6991517710804345,0.7332648953307784,0.7549561233508695,0.88232937022254,1.3036738538088608,1.6527123363695637,0.8165220000363699,1.2223728199445998,1.2247816881673144,0.9167884457878759,0.9900497948394033,1.4522538203546713,1.5167904834800958,1.3181878421474822,2.4243313467826626,3.8185655635679687],[1.535012143779539,0.7771119467155455,0.6588092624199803,0.5066703011227893,0.5201422313569907,0.47872117392987223,0.44237401877876326,0.5855867944028212,0.45789534485003563,0.4093306790887638,0.45339498909047854,0.5465215529870768,0.46037902791306323,0.46618727342968497,0.6341712247064678,0.5768453396614969,0.564444750843074,0.6687793829246446,0.7786467827124963,0.6997407658416797,0.7827136628134246,0.8053213120289076,0.9382928479786479,1.1484832403310001,0.7604572391172053,0.7970590058953444,0.6289249682174155,0.5698664438960974,0.5708486857760791,0.5816021369531399,0.718782153517464,0.673954110788766,0.7811241334023876,0.7958707160055464,0.7094915589462667,0.6648077760381242,0.6052609421736771,0.5836320017956842,0.5553684337853103,0.5534994973500198,0.6823148297553316,0.708304193830415,0.7239481695457705,0.6852148951501701,1.1939297305940908,1.0137443717766277,1.0984476316289131,0.7933068804828661,1.8025546026182933,1.3995938414519864,1.1761061769636125,1.679360963986714,1.3748803557834384,1.2145708627391465,1.835153072784213,1.11617614220202,1.3108887778549205,0.8675342942674222,1.1436066459355452,1.0191160936562853,0.9853135976870532,0.8758634073490223,0.8483014313634903,1.1884054374692952,0.8804171083344443,0.7922661843550418,1.038905679715007,0.8420987894271739,1.007800576861384,0.8510890117926917,1.1525393043432086,1.624115366427903,1.0887287881385566,1.2042163694580308,0.856534233903979,1.3427284163337352,0.7891858164200212,0.8396790994060933,0.7630435770271863,0.7528815471793037,0.6559382887829315,0.6411645511745762,1.3757759213492045,0.7576451523822403,0.5645331025899397,0.5456178048885626,0.618337483921033,0.7416833794616684,0.704189193996006,0.8091516156735807,0.7769087092977638,0.9168381702337732,0.873278016334215,0.8177580298552396,0.7476938850088531,0.8274550305324866,0.8118053524300439,0.72795362671918,0.686082342364423,1.0175935943399295,0.7481669262420779,0.8716871213351256,0.7082521299796436,0.7301116992296627,0.7395928337456276,0.7060901724111022,0.9670661648339441,0.630935456857861,0.6344207197289731,0.7476511823309213,0.567710034151673,0.48657060909489674,0.45823820406969445,0.4853377416987456,0.4665729412254034,0.48290469262650043,0.5270569638293664,0.5843342868636106,0.7299531818369145,0.756548685379868,0.6557816210153522,0.5786741160803585,0.5643282500036279,0.477731217327921,0.4372481188154846,0.43385861733878267,0.46708528061887467,0.4811012411614991,0.48338620664076987,0.557351402198681,0.5014079093041869,0.595961856066766,0.4954546336953124,0.649737913242572,0.5203305345833334,0.5399320049793817,0.6060019266271365,0.44470476792628477,0.4895043102961594,0.4856745414237295,0.7163097387077797,0.7833854794156977,0.6448067783472741,0.5095911568806383,0.510453011858112,0.5201312017824937,0.47393792743331453,0.49173830814964287,0.5198519363581773,0.5059859131321621,0.612870532416732,0.6336191918802073,1.084118498693161,1.7380446676278474,1.2189275804797295,0.8285298972284175,0.6340181469026142,0.6341805669308892,0.5860543905627478,0.6040253736361619,0.5090761432900078,0.5507782634303854,0.5141062573946813,0.4873363435692663,0.5830121277579263,0.5633051265401658,0.5348367103730279,0.6079003928610254,0.7527143083825656,0.6913571258997483,0.5727603908876033,0.45948204251799063,0.5214438478432729,0.5183943050314264,0.5181085516473981,0.5863162599857673,0.6004611724828108,0.8830408900481199,0.606867678695673,0.6765760050264066,0.535854376676035,0.5648359684606865,0.569714021128075,0.5278191370583357,0.5044072381218044,0.5985085447306117,0.68100861401338,1.0124646089868627,1.3695260826598745,0.7758089857462356,1.2968550400508234,1.1019757314688514,0.779400083240837,0.6758929182686897,0.5225414273579635,0.6161163790095344,0.764669585021092,0.5735264008201354,0.6173767675906522,0.6201368012580302,0.7168497380522213,0.7998843159723432,0.6764394357075434,0.7462098974149932,0.870637428440522,0.8524359866599307,0.8698042787268188,0.8792866936533039,1.0638377544139956,0.9381766219891343,0.9918940413330117,1.1477995397488336,1.1735933361293942,1.1064104599710038,1.228258969292438,1.124020453552662,1.3056852237375616,1.0902372042082844,1.054222389082161,1.160252063758554,1.1732193589259008,2.3528012865998678,1.3524808566365873,1.6175858248526735,1.221844340280334,1.2007449802945624,1.1092028949510253,1.0486736311796525,1.0590469608845243,0.9088639921299441,0.9683605162838368,0.8712626674418588,0.9201803916530389,0.7961609413090375,0.9604266092503759,0.8433602671780225,0.9155700981477948,0.8471331973463161,0.7252006385660972,0.7648229660618452,0.8652429981522952,1.0655155530965654,1.2128787685514595,1.4128132449288684,1.3362723118397932,1.2142127422351339,1.2197753525726593,1.4512676927323598,1.1756037250724563,1.177724680707306,1.4389296482668723,1.5049855998056856,1.2561647126954036,1.3439039557033583,1.5195690206825836,1.4371453967891532,1.334006601584485,1.42220494339285,1.2638967603232492,1.243255636624991,1.1508212000967588,1.1296981122053886,1.1505359942227849,1.032010763641228,0.9878809597483893,1.0256840005587193,1.0382582973687025,0.8961527762792572,0.9514679654523402,1.1533340905198495,1.0443560622952055,0.9502314611915923,1.0742506102029634,1.1984635755578374,1.2483814323137816,1.2104348203108704,1.2786963154265214,1.186664921887407,1.396898306601333,1.0648561223018425,0.9582865244526005,0.9336459783865931,1.0442925579021103,1.0508502172160485,1.1173427921410153,1.0919101749720705,0.9274983706883203,0.690064999410348,0.6144533970522388,0.639156285596888,0.6808789203384912,0.8218619915087312,1.2889062712251456,1.6969466723855189,0.7828605835025654,1.242920449146242,1.3161789263494654,0.9120336761460649,0.9611386502456767,1.5244509886103206,1.5561912178640696,1.1368333444186194,2.195100354972866,3.433460559303307],[1.7091145233054446,0.9775106792813009,0.8191054878622261,0.6072850115632062,0.595969847159747,0.5503843386180443,0.5360744102423565,0.7083670721890113,0.5887126365928612,0.6034480097079665,0.6976888956598012,0.7920488268109382,0.7106150938491985,0.7006566871431441,0.9255114707468256,0.8761031255842405,0.8429007381700132,0.9721318026429938,1.057159921114772,1.002025684629503,1.0732991341550304,1.0792555121824898,1.175038657243695,1.3206180553990692,0.983066487611159,1.0182573641370394,0.8698449412211736,0.8039438340029976,0.8490042200804204,0.8669558689301338,1.052162190092661,0.9845472298357393,1.0802676579996102,1.144949455015953,1.0348114924279062,0.9728599406280599,0.9028714278645208,0.8614384566138618,0.8028888069860212,0.8276200274293662,0.9157587661249399,0.9729779573006747,0.9801016084309275,0.9809594882622951,1.2154775752811762,1.0474247001646124,1.0798657202889108,1.0220863976200163,2.0555527550656034,1.6337000425946737,1.407143128413272,1.8697173257166528,1.570438066284652,1.3680687023139182,2.0176683975388503,1.4482037301750637,1.5210793493848438,1.13252503267052,1.4582927279045912,1.1611710838516598,1.149731335993798,1.228589792057235,1.2107265427495622,1.4579347071764674,1.1817780757280423,1.0955715077185664,1.3146790098213756,1.1671674851884295,1.3082663600902227,1.1755215580770666,1.4412027068823297,1.8824467741638762,1.4103731991503536,1.456186628060143,1.2355717011090104,1.6783682922649377,1.1485178886086054,1.22684260932955,1.1165868264428007,1.057253514091799,0.9966384802955115,0.9826746148565259,1.5476411496281255,1.0488618816957294,0.8059906572268173,0.8546575975209639,0.9189022394550013,1.0289055294723934,1.0295687714623636,1.1783068132061754,1.1491473448207867,1.3159078101867097,1.2516778587371673,1.1992527058320657,1.0957740756055676,1.2263363819213309,1.1537759189255696,1.035514878655981,0.9578168964491326,1.150223399221453,0.9924030369074003,1.0703654812012118,0.9422417364108475,0.8922248915130854,0.9142969549798188,0.8282474074712558,1.0894744726735022,0.8030535581725678,0.7911404525870247,0.8939631783968585,0.7217047387408387,0.6414142585598234,0.5946369081557515,0.6124855686941425,0.6428852026490288,0.6351509828662527,0.6982366388705044,0.7438840739413719,0.9475912951682882,1.0000685342472184,0.8718793745780974,0.7640752282369704,0.698444007243105,0.5766555873075341,0.5261276316450113,0.5381973953414774,0.5771902490456692,0.591951970480083,0.6309937962554683,0.6973227648657923,0.6184636938581086,0.752904177918139,0.6480252284979081,0.8072732640295109,0.6682147233561317,0.6636385902813858,0.6903056958173289,0.559465854701936,0.5999844989358062,0.6133621917048511,0.7700594994300847,0.8221271372560428,0.7737389955329149,0.6920529482256409,0.7186932794008843,0.7530031448594375,0.6849814522775431,0.7074280330049582,0.6901152355372336,0.6662140955551618,0.7968712001564611,0.7811900066249534,1.176285579057154,1.6769867748359972,1.191084450449175,0.9884080477662309,0.8677055823767903,0.8361126103661882,0.8291991701171741,0.8088177337440546,0.6564666395753437,0.7666180721328402,0.6875816910944289,0.6941093294941554,0.741307212162679,0.6739019948150375,0.6677044060517383,0.7092105336667207,0.8515420064723012,0.775598119345362,0.6832170049870478,0.6096862296771741,0.696853579308748,0.7125651313243389,0.7332061322002453,0.813669383915916,0.8813406411418555,1.1442743322382334,0.871795787913247,0.9172232248843559,0.7444075708273057,0.730202154490197,0.7395421966451573,0.7049494101076718,0.6569372593834285,0.753021867715797,0.8264452558144071,1.0692575857764994,1.4086982760919424,0.8464520270371803,1.3551112884393826,1.135527495554234,0.8742866547949192,0.8014716558528594,0.6549902980462462,0.6824646297911655,0.8865567334810364,0.7097369455132742,0.7432072187476215,0.7628966998496685,0.8943705273789345,0.9746502415186102,0.8244633016770264,0.8830534732899071,1.038007201462047,0.9907667786531968,0.962813996867562,1.0540977962433369,1.2416175938420895,1.0915606219467093,1.1670528841016885,1.3466501387648848,1.3356129556318872,1.2715617410508344,1.4213238371457007,1.311553824220819,1.4752119570257436,1.2684763642479142,1.2342395962758965,1.3561472225247457,1.4018940891458114,2.5427286201601422,1.6025544340189988,1.8486732399367638,1.4401550885775447,1.4299798581126544,1.3275842758528285,1.2881699974494953,1.254687909450092,1.105499386309504,1.1733273759279814,1.076065523333385,1.0826487697010991,0.9763721933273701,1.1481476521002043,0.9335902150483743,1.0123988984197843,0.8854373337289563,0.8563947937410208,0.911841464433876,1.0358190587566645,1.2616874616930167,1.3962983255842094,1.6362148901498899,1.523948502070414,1.3919998879510305,1.405911808171006,1.63639571189597,1.347291738952718,1.3380381208947982,1.6060284240750213,1.6424871445311608,1.4098624436815865,1.5290934648619057,1.6982799625872893,1.5782005353294948,1.5262685794608228,1.632002262490242,1.477162073181358,1.4682838430468428,1.3549397676489827,1.3609111594890753,1.3918140453346701,1.2357277478553672,1.1857530593921888,1.2375818759607269,1.2288499733308644,1.0688163410044151,1.1450713985155023,1.2744365471335923,1.1762829950338107,1.0608019317369979,1.168481958813134,1.248634714522923,1.3038926906694634,1.2849574217511532,1.3271370094746635,1.282875504552711,1.5474173145404415,1.191979116421841,1.0941082960610857,1.0629245400306082,1.1498590533534334,1.116411678104184,1.1555732946781485,1.1084633952028602,0.9775525626531051,0.7375457639569115,0.7140161128036847,0.7255816445094033,0.821555566739074,0.984752991892809,1.4613884511868953,1.723136675589324,0.8847670205837201,1.3652419484311866,1.365799111676236,0.9798393947832079,1.0693728434158192,1.6470762342630347,1.634816508672142,1.3119917828459409,2.29313348729811,3.688048709665175],[1.6267984957906958,0.8802232883251346,0.7423566761567549,0.5632959413378742,0.5711785067625714,0.47822341518932127,0.43093870748826146,0.5849503405648538,0.4404642650939697,0.4074732089223524,0.4480427806333957,0.5655727597799489,0.46276549785235976,0.44130567088294315,0.6280355721508764,0.5762123699062879,0.5735165707463012,0.6374010071744378,0.7112493544736702,0.6358135185551304,0.6833460117370573,0.7638545349790355,0.7949818255575462,0.972296043876172,0.6730162279485511,0.698992174549419,0.5425042191684205,0.505616807650051,0.5326642009671027,0.563339634276731,0.7088951887373419,0.6837360682111762,0.8227676911519869,0.8278644922973412,0.7343677267402701,0.6471322870245281,0.6191344237979883,0.557191823777724,0.5027844366460077,0.5371237974824474,0.7178076137776934,0.6595992090058183,0.691681039801092,0.7421393358220252,0.9396936280904731,0.8967297408663998,0.8243847076713482,0.7895351011287499,2.0643789712723906,1.7097508896083065,1.3347172333538417,1.8380553853628907,1.4635290570837522,1.2668939973093536,1.933388095532907,1.2773321500148496,1.3639329762111307,0.8460302803731764,1.1875478467321872,0.9613077309464938,0.8671271185161911,0.829515344546065,0.817635800595926,1.1037394058848826,0.784889197355254,0.7401128672195102,0.9698340588339652,0.8032420577188484,0.9809744323600484,0.8300767096573072,1.148025263707492,1.614089126264704,1.0570928654391842,1.0959287778366946,0.8468789939296826,1.406375094440294,0.7805861581777822,0.8639245581523246,0.7693244117338459,0.7454441221830914,0.6901772410659812,0.7037531922388897,1.3809753021841196,0.8190028710496802,0.5755173516487945,0.5888338452546639,0.6174870460191089,0.7078197108082307,0.6829481438695667,0.82819015242276,0.8047036989826023,0.9381513693500956,0.8856889791134962,0.843073031763568,0.7579745061962078,0.8615616639024782,0.8313292342906333,0.7684183317293125,0.7121882070225793,0.984187239857902,0.7634733995010495,0.9188003181543456,0.7514053960860712,0.8062475436662844,0.8249237160050102,0.7452361007454893,1.0118851952194523,0.7209481208315557,0.7155393507126706,0.7993591341225486,0.6307940338563253,0.52369204551117,0.46304001236766046,0.47406958654713316,0.4602209974696711,0.48021980374692363,0.46234829277138284,0.5350767157245253,0.655805624452054,0.7189803301304127,0.6126652461106653,0.5513865029832795,0.5494278704902567,0.4594425643755241,0.41500983633257055,0.477255429357816,0.513750961449344,0.5387043610508768,0.5540716745781828,0.6022004795386532,0.5655234480770905,0.6682006968029203,0.5590112159051843,0.6935591857453192,0.5668088586888583,0.5646037730797866,0.6224028231416204,0.4922034150068665,0.5220136312568633,0.5006537912018025,0.6624226622482283,0.6662676366952676,0.589078757817558,0.4931434897137393,0.4839277036916659,0.4996048327340346,0.4629592735776065,0.4858093847792153,0.5334353459251839,0.5248651432256274,0.6838211311924052,0.6573617036371624,1.1273382200300472,1.5432065044077492,1.070622509014901,0.8552746776860974,0.6803341128010819,0.6968566626430474,0.6098660839134553,0.6739326202078686,0.5485344540688597,0.5365145537401909,0.48934138376164843,0.48259086791393024,0.5660302053098919,0.5698840442556671,0.513839751583991,0.594495332437569,0.7708460863179897,0.6733562525549549,0.5684597854442375,0.48728701870093905,0.5297607277536611,0.5579070642389671,0.5540178078170912,0.627225772808529,0.6188245306123588,0.9261183483028517,0.6424480263598559,0.7289912997799601,0.591684909693392,0.6273788543384679,0.6317717549231843,0.5822150702526389,0.5293938792500785,0.6049296818780154,0.7256302004504489,0.9929180637921213,1.3982694027959972,0.7616429654872222,1.2404208961397067,1.0062619979057035,0.7357259531482351,0.6883547883229026,0.5785018383659422,0.661120911289443,0.8511830352058906,0.6647432818592498,0.7087730664069172,0.7034797196939021,0.8173000880006077,0.8740026334056019,0.7544305418228953,0.8432928909123106,0.9589934077186452,0.915522042111164,0.9445031034625408,0.9841475060708684,1.1285572228615945,1.0055488709727813,1.0863140666841737,1.228012062835199,1.2146290243623954,1.181783230675906,1.3153634715679487,1.2288068839466413,1.3956761222561989,1.2085243889638868,1.1523521768843874,1.2614758472360332,1.314260847948916,2.463140172638789,1.4670514281470823,1.716594867273526,1.307121768798127,1.2861650805291904,1.208311523314171,1.1531648533740573,1.1901054171003003,1.0347790455814287,1.076761173290065,0.9998765483568711,1.0492337659064954,0.9171006494774636,1.0904123542644197,0.9569062813441641,1.0097917985611575,0.9176657792367012,0.8380603806793937,0.8411964883716755,0.935288072691036,1.1310685231544975,1.2292788474784524,1.4940264976976523,1.3542263292943924,1.2366785491502392,1.257398904418934,1.4365719868403024,1.1898503631902255,1.1943347492730862,1.4400104360894357,1.4865783525637832,1.2650293450021333,1.384133768277715,1.5539224578443291,1.4559926509227672,1.3865443284057986,1.493648496046866,1.3462254482383935,1.3274558137647021,1.225826545492876,1.2236073501597344,1.2617278725381542,1.1368780201346158,1.099764059118327,1.1481129224766409,1.1548473023787986,1.0146854408956107,1.0772304552172445,1.2446878570881845,1.1534837380799996,1.0566352249663693,1.1521292725440517,1.2222224869550418,1.3061003191609775,1.29077835604137,1.3316631709216202,1.2508953865875378,1.5321434473381927,1.162572618025371,1.0550758981636168,1.0254073002857331,1.1392976651343218,1.1171623519061835,1.1589841601709279,1.1382551745616458,1.0004661526888181,0.7465181927194278,0.6887834995147744,0.7015137569574876,0.7234326916220095,0.8557666363678714,1.2908603731405692,1.5617442908123542,0.774198333264178,1.2034637327539583,1.1698956491642998,0.8701840290179021,0.9517304263970702,1.4471587593320452,1.471327485640157,1.3695582403752427,2.4838746496498945,3.95944346772935],[1.4976761759835457,0.7793358583672582,0.6576336351448537,0.4862117761778049,0.530103987335211,0.4769080302092931,0.42832227445559357,0.5569162093926305,0.4487684268576155,0.4112620392826545,0.474451340106513,0.5649426380745776,0.4692105954268378,0.4573895812656622,0.6346338618737808,0.583299404991664,0.5823853012473087,0.6358551076871504,0.7040113617900421,0.6315092699573251,0.6706103467257052,0.7696683397954174,0.7956586123809575,0.9964030722963563,0.6739478570292713,0.711669852395542,0.5621168285138736,0.5349451082072306,0.5458564618545838,0.5771125118294416,0.704042616487334,0.6770377919213375,0.8311904839782625,0.8186567822321659,0.7206403645408885,0.6495573967892896,0.6117087593685023,0.5672656829661471,0.5189972423546273,0.5264136432681568,0.7183108540763422,0.6491021350049866,0.6825550243252047,0.7167343091182741,0.9367716029184684,0.8913473424196663,0.8547737647169951,0.7690290871643931,2.0250169104971136,1.6719849118964192,1.2617624742027314,1.8296359706157672,1.4005078279797625,1.2304659453556033,1.8799384019591117,1.2033644926652973,1.3311854757524895,0.8308237458506212,1.1693310047314946,1.0012935785822488,0.8546642191988846,0.8110067112847386,0.7991305744022453,1.0994452409981792,0.7878194780555725,0.7376532581772489,0.928588532460529,0.7722092647906998,0.9514157771234372,0.8053300186136226,1.1303511306182445,1.6010028448746265,1.0327315422818923,1.0881272530365844,0.8340035226109412,1.3468662183390463,0.7707553783218007,0.8319194445811643,0.7513393458050737,0.7180969713908295,0.6768383823897235,0.6897697246554689,1.397193525789237,0.7759309357424914,0.5740228156171159,0.5656242275716987,0.6158803493309855,0.7158982466682405,0.6812159224467982,0.7958242398847395,0.7825700744261734,0.8953835075673071,0.8645435771626361,0.8304798712124455,0.7561460492696219,0.843781339928523,0.8493467822563152,0.7749862010252002,0.7278580127208508,0.9985016229999213,0.7545821369576406,0.8708376512148596,0.7178441880866617,0.7679143441344247,0.7684017712514142,0.7292071433754705,0.9876435655718475,0.6813899809786748,0.6754175453695824,0.7512159459682892,0.5948709382112521,0.5008602055548835,0.4555328097190153,0.4611884266575696,0.45799234974596076,0.48341209347788905,0.4974258950652646,0.5465472705987425,0.6800164746199581,0.7296808897631257,0.6313504702236061,0.5659883140035429,0.5484938172467981,0.46913064224407686,0.4223169639492048,0.44686318336153125,0.4931827558174177,0.5129182624784661,0.5143999374477232,0.5711662021124128,0.5278638497447792,0.6153445807325709,0.5249050319057844,0.6581604920981309,0.5467574626266166,0.5620577918473796,0.60542120278518,0.44425652954325173,0.4849115734008948,0.4742373215223828,0.6627736352261921,0.7027138073940467,0.6065644441451508,0.5054288483347753,0.5082755249970861,0.5232187347819737,0.4787200919221615,0.4988433596677744,0.5250717252870108,0.507785988847735,0.627847592029597,0.6292576170896624,1.1380768867174222,1.6596394244826178,1.1757290487115446,0.8379959359344072,0.6502106233295658,0.6580300403017864,0.5920737543606861,0.6297640367092,0.5343953597579064,0.5332501430265412,0.5080046983094654,0.4775954490722472,0.5812663006724605,0.5586053878635813,0.5174063703774917,0.6067089610448273,0.7698935889316366,0.6940820689815794,0.5613808393245802,0.4626372898743491,0.5335388243105275,0.5485296211407773,0.5226246591195431,0.5946582676657062,0.5948345186073778,0.9038344532153385,0.6085766967211631,0.6745947020378462,0.574049820401437,0.5979493822804275,0.5950255646846557,0.5593327031851713,0.522550632916797,0.5872088116475597,0.6978088113275978,0.9500188656041043,1.3855073408443088,0.7701015500431233,1.1871862376506075,1.0645643253035335,0.7480246285330232,0.6711915905690575,0.5490018851915756,0.6391642481978931,0.7984002643433333,0.5939458091334721,0.640490321835227,0.6468742680537342,0.7385499249553311,0.8045224405147785,0.6954496544118244,0.757343220220967,0.87606357181182,0.8518307891314927,0.8818594270967466,0.8892259984593349,1.053836476017697,0.9353580159504238,0.9926688435235111,1.1511704686377622,1.1645126406577042,1.1091444329837736,1.2337937603548035,1.1231515331820847,1.2983686630943811,1.0880836762849506,1.063739622044419,1.1638813856243562,1.1936017864974433,2.4103544993777652,1.3600315613326304,1.5860482814520276,1.190732917778477,1.180925725025414,1.1073218538562686,1.057998296048857,1.0710699240764716,0.921935325311784,0.9777396495850135,0.8912369589415726,0.9489920544822225,0.8152614738565805,0.9756303764486984,0.8582710014006423,0.9324982591813697,0.8627756555423512,0.744414428728629,0.7868150618302385,0.8556587644951821,1.0535014944350798,1.1733633276407853,1.400329118778749,1.2842729538554931,1.1725809525110267,1.1869433648953127,1.378850947179437,1.12885334022669,1.1450204966826236,1.3894928179934836,1.4568027876949483,1.2230815898616139,1.3131302207196072,1.4835419277301172,1.4154571543572168,1.3102128271585591,1.398637960665368,1.2463547016542589,1.2235808786876916,1.1297950147012963,1.113236432554789,1.1456568322745841,1.0326681983191144,0.9929330784830858,1.0318435623647744,1.0434667754079148,0.9142377717591026,0.9728636558807022,1.1679723646996774,1.0679094952107957,0.9653921877926339,1.082130294614778,1.192845428610127,1.2466931174604692,1.2143418731154711,1.2493430387206523,1.1652589200540424,1.3891406575285123,1.054775927313709,0.9487956948743611,0.9207647988348628,1.036862056663647,1.0293012186591783,1.0848178132977897,1.0605671249589224,0.9307742351109269,0.6957272701638477,0.6364288390525689,0.6723174091355545,0.6882610783117384,0.8161679031525937,1.2435756834300191,1.6104075623475749,0.7585939924926667,1.1976380567181684,1.2397193796424326,0.880274177395297,0.9478737925245154,1.463226124207839,1.4918240672783807,1.2160896682170765,2.2829029581182,3.592440236671921],[1.562516445645243,0.9218355498107279,0.8230685184517575,0.6323469432569986,0.6424607083560244,0.5895623011451506,0.6021023385451862,0.7484248061796211,0.6195612431991577,0.6007971560299364,0.6430954366402752,0.7217230101241556,0.6604775049349562,0.6485946903612703,0.7961667386651534,0.7526227268936833,0.733841424164688,0.8015554816603883,0.8570575039908419,0.8031844021607061,0.855906613655325,0.8986253485807021,0.9343349711224586,1.0797809474640694,0.8144208467313104,0.8503479444255057,0.7587072732465165,0.7346753092340448,0.7228600873747459,0.746973036528761,0.8346904917766275,0.8265028286454287,0.9425648008655697,0.938649972157315,0.8450776992518513,0.7955434157844068,0.7996797367760636,0.7673995792666194,0.7209886177440951,0.7269959868474916,0.8458368240421098,0.8080673448538426,0.8364176472635985,0.8971920829578238,1.0737582860716088,1.0656892038922923,1.029488858551217,0.9698952460764652,2.150700863147097,1.7938656881038295,1.428123135037035,1.9417803130407618,1.5084727735029047,1.3575592143203286,1.9686749480453274,1.3438128824659135,1.4123028643989677,0.9513542333428475,1.3064030767281958,1.043445036234992,0.9744395548379217,0.9608981352050319,0.969229357477843,1.205439654137081,0.9317062332369895,0.8687092812338768,1.082165782563322,0.9486243577927703,1.0625225521960033,0.9754217750804529,1.2271629176496226,1.7211845559420504,1.1917105045745242,1.2021368447052478,0.9869138878032682,1.4189737916104375,0.9215792084601436,0.9712737399450723,0.8923562996813297,0.864743793004455,0.8234596802407501,0.8462080045767465,1.4539595373002259,0.9256273036898568,0.7176252426688264,0.7477091557359373,0.7811817931648416,0.8394599076529826,0.8342441402318808,0.9151932107542486,0.9306390846168315,1.03915382134152,1.0084498366136676,0.96375910315708,0.8888708742657535,0.9749609762816023,0.965484629607078,0.8835722679232145,0.8561356448532361,1.0535773915696618,0.8921522346447845,1.014845608995297,0.897599271139415,0.9402246580954196,0.9537251784923544,0.9103830844471172,1.1399247105204227,0.8650748986608936,0.8200165583610294,0.8995951062104129,0.7686455759895116,0.7210671422340063,0.6672087572273602,0.6885902627872426,0.6531957953149703,0.6644972216486528,0.697600575891881,0.7384147176601695,0.8425390101335171,0.8974599253847647,0.7969646681326166,0.7333710247383217,0.6930794679545083,0.5963717013881472,0.568630235170459,0.5987078911053555,0.6501318279672215,0.6813990028056954,0.7094430930759178,0.7649317525433037,0.7184089190800607,0.8019354454701112,0.7356716503883216,0.8724142145642473,0.746295284385626,0.7572565610767443,0.7708557413100561,0.6763440691648757,0.7051041235640617,0.6934321138044057,0.8188662399359494,0.8128946842165217,0.7847975268051195,0.708348706616427,0.7147166444033364,0.7139225580254652,0.6912164459138772,0.7114318587668238,0.7411674409136838,0.7233956674080446,0.8045427943451561,0.8050303628918825,1.2331691988597253,1.735948345368982,1.195932627131361,0.9577691006965683,0.8233231045090657,0.8317048166471467,0.784382142406501,0.7971852537109569,0.7347429309784514,0.7527784606089388,0.7192698080126686,0.6940597126007322,0.7817881078210239,0.7089399682913089,0.7199882341046936,0.779974990783207,0.9186056051077988,0.8479099472677791,0.7823980149114337,0.6803287608367118,0.7338562343712285,0.7485139505040236,0.7250381585024573,0.7761187421344093,0.7833408042248013,1.0379968951561531,0.7800533837688957,0.8634328848997745,0.7573474524211661,0.7863300066510723,0.7947549955304303,0.74803869757808,0.7055281240169549,0.7405916809803526,0.7881562871654956,1.019516646053127,1.3809898791039137,0.8147803027621491,1.3995328259385922,1.1049523637694714,0.8792915212157646,0.8388697913172547,0.7623581467427855,0.7606171317037161,0.9278973731748529,0.7576040961814083,0.7779949681783559,0.8142589908654567,0.8925707028846579,0.971992666749774,0.8504702047045718,0.8776893246305284,1.0040677647417864,0.9762757304023075,0.9402623738762064,0.9794667916001158,1.176493619399054,1.036145284050997,1.0707518587249725,1.2291075947006582,1.2449917180004308,1.2027906148013332,1.2769003589817784,1.1683965964465686,1.343030247284064,1.1022624721488095,1.110444964890011,1.2144101830145904,1.2549416519250614,2.6075881840658606,1.4631074655657665,1.7056735147442028,1.3539865056124731,1.3326584945540207,1.2561379858949528,1.2304967362423613,1.1790979051891977,1.0665472586818785,1.1713221617314582,1.0656776129059753,1.0711449456147146,0.9870921479923176,1.199813487193895,0.9556035560016863,0.983278770833004,0.9196178497381894,0.8794207312635488,0.9112570158991834,1.0429526458616816,1.2290291717794761,1.345314579677069,1.5393910481215969,1.4559910976844013,1.3464979094588743,1.3353266165412432,1.5187935028642983,1.259394787726091,1.2837694785211264,1.5203691453137844,1.5631260255569213,1.3507391241882623,1.4482944082669156,1.5908249915471335,1.4963235066527156,1.4306384958015155,1.5131202084621602,1.3708735126147915,1.361360481311726,1.290689889739021,1.2752983824865707,1.2599790001596773,1.1405477615510617,1.1290083146566194,1.1331594698483867,1.1162893670112286,1.0147901537498465,1.0594809348985128,1.1487378382392286,1.0826939101179378,1.0136805780183895,1.0784918674034538,1.157978993576912,1.2239175588058633,1.1769078736375531,1.2080180826396634,1.1731089725432928,1.362466940889764,1.0558919647081026,0.98930660331189,0.975347611184249,1.0698961978751398,1.0556259266826282,1.0725255438661319,1.0846127396394147,0.9428824855750367,0.7883013369274348,0.7671500628835766,0.7882777576735517,0.8373954021989294,1.0010057768860838,1.4491059831669302,1.7436042877423097,0.9367066211358853,1.385482832141081,1.4271650279512136,1.0097015695166955,1.1040363584518131,1.6901462880753992,1.6144617247610866,1.1402806121447857,2.0015246165225005,3.325268749686258],[1.4677675300705322,0.7235737874642433,0.6298836593551945,0.4276268033363127,0.4288289242246122,0.4129853974793579,0.3599548636316275,0.46701723191833205,0.37794021382569243,0.38264315875361604,0.42758807945709804,0.4857499476526782,0.4233833362584972,0.4656135775969641,0.6346846591037406,0.5620347302454756,0.5765218644409972,0.6657213614565582,0.7581973025688592,0.6694793901673518,0.7346012256945014,0.7873596668120203,0.8413371143676341,1.027201908337773,0.7085129867063574,0.7516879066328549,0.5955436304571868,0.550543091465797,0.5572538810669496,0.532880165976339,0.6691988840179698,0.6016791803518591,0.7374653538303165,0.7350324137078705,0.6391629667250464,0.6064042033237186,0.5520854569270125,0.5761939866795978,0.5349960810815081,0.5096577763556528,0.6987886526532076,0.6872829808838548,0.7147191001383154,0.7501673058993988,1.0261065743042692,0.9191378386403811,0.9100291551267489,0.8130195971719334,1.974231952013173,1.5638749366825748,1.3169116441579232,1.7492930594832967,1.3920179766688061,1.2124088579943224,1.914300597878664,1.1971317032190887,1.2900833900878077,0.8340791206007822,1.1879585049565409,0.9665692919029241,0.8811578777458193,0.7976078397290239,0.7816860828179858,1.0785814982868167,0.798181429264168,0.7242662697842229,0.9830034708026814,0.8234835124983362,0.9706140813362939,0.8667338368329672,1.1368401421022392,1.607217792367182,1.0743080112840961,1.1060658557629663,0.8344970324576778,1.3199868538947057,0.7538294904475379,0.7876814361966032,0.7054574476987284,0.6958016428155626,0.6180079975385678,0.6431282377663582,1.3315126081764121,0.7143265693393941,0.5278551510963367,0.5346454511356259,0.5967472431020889,0.6119601627952406,0.6501813648346761,0.727323855751665,0.7575335672685412,0.8535977511378641,0.8256900157681608,0.7659816180170044,0.7061385701194658,0.8063401838207763,0.798069771181076,0.680303976172909,0.6100535360728798,0.861631110247003,0.6199913436945423,0.7393312885172896,0.5938227308827602,0.6250246801418782,0.6570314126471605,0.5930641858598221,0.8024898808536901,0.519190670934037,0.5232102837411893,0.6614908122819608,0.465585375501749,0.4008968966286352,0.372936752588894,0.41339736042789926,0.4356033401228521,0.49695155530574897,0.5153420989315549,0.6077534348929751,0.7032349661631049,0.7481582417735719,0.6685936069654634,0.600057756945834,0.5740008094584431,0.4627851118490944,0.3871262442075178,0.40386716723712535,0.4032767072040833,0.4287362141745661,0.4002464416006138,0.4590068066076627,0.4223362986831743,0.4816040813229972,0.4195775189504069,0.6054150631681293,0.465773725711366,0.4937023070093528,0.5512157899931146,0.46441707576810926,0.5254486175451665,0.5102890273460983,0.7279636902667059,0.7333801486189495,0.6479498658892089,0.5326286208823472,0.5098322321936842,0.5111770410963035,0.47251320905529065,0.47400958955597805,0.4462394138608611,0.4402395902628986,0.521061073357548,0.5381953113034126,1.0371392523821887,1.7293052828322513,1.1238482513712544,0.7015453646270058,0.5340729048596335,0.5347048117649683,0.4854715492731199,0.5248843804060036,0.4517573375614066,0.48770613431441456,0.4968101038174734,0.4713693572973225,0.5416871975384437,0.5374682375090425,0.4640008975577115,0.5406059899165206,0.6894666823185528,0.6312110440435866,0.5282261142128134,0.4441597926664085,0.4685943964819132,0.48091686410044465,0.4456269267807735,0.4770811172592659,0.5070811115556144,0.7764186506804053,0.5014704842927156,0.5997472819745141,0.4773317812864386,0.49456057326651137,0.49428849551098036,0.44781589727151927,0.4751568147206066,0.5861612186739308,0.7076583378167298,1.044633789805506,1.3365844128618765,0.7288909748017045,1.3573093785950707,0.9864724210385314,0.691678262526032,0.6126145277383426,0.47809378487161297,0.52212604061413,0.7674079218060316,0.48766485152800343,0.5208150495644556,0.5332119263781303,0.6082359272879668,0.6792533366448237,0.5705410190540947,0.6366956333498036,0.7512822308036251,0.7437759843962365,0.8231629141939408,0.7741143892417561,0.9458368925272288,0.8480838827354676,0.8879678207264892,1.0297834982393506,1.0779566038247332,1.0389482364281328,1.1016571860752884,1.0078048351828242,1.170847080315664,0.9510880690068013,0.9280338499231436,1.011855852010837,1.0351089416806782,2.4531015769070943,1.2218187718441331,1.465501478042813,1.0998639817183467,1.0885599619764061,1.0054153746088734,0.9517835841228751,0.9359345768079074,0.7816355731339091,0.858316834992871,0.7768540657501724,0.820148959300111,0.6856833733745902,0.9076622290492302,0.726791404042737,0.8101677921483952,0.7805309568633582,0.6241980623616654,0.6686712624393214,0.7624762661531101,0.9498218615813987,1.1078797117524515,1.3266039905463083,1.236728038164762,1.10778194050695,1.1228710012685235,1.355689891035166,1.0863320685579483,1.0660905238371294,1.3013499821865568,1.3616597956892087,1.1310566430334956,1.2127540787445974,1.386476153551111,1.3086406972621358,1.2132524777275158,1.2747806301011495,1.131957671828891,1.1084245451449883,1.0229135629547184,1.0086588021785325,1.002424936217937,0.8970414949764451,0.8533975073565019,0.8757337877255642,0.8911030127914713,0.774488005512679,0.8020133953751655,0.9737885248913205,0.9317958012433933,0.8559036368344456,0.947164201889249,1.0602778928700625,1.1388800880937875,1.0772396932036288,1.1054314188976884,1.0889735954471977,1.2185586591738402,0.9515945708559681,0.8468471105930254,0.8430312068097685,0.9756898262802943,0.966802739184469,1.002864996461893,1.0075603263425743,0.8186658223437014,0.6305048702461318,0.5275208257470286,0.5414217497089594,0.5719506370966921,0.6997620968813194,1.1742532441958249,1.640828886082317,0.6771819185598075,1.190881483017144,1.3234326992964596,0.8763072986973696,0.9269109293278749,1.562457755367422,1.4891712212758585,0.9070870127645763,1.7696332943872908,2.8166612958854453],[1.402157316469338,0.750274475906987,0.7007672564882307,0.5176253275589968,0.5525510614766097,0.5356766909004446,0.520542220655228,0.6470504132474384,0.554563381614519,0.5772945075574543,0.6605752789747065,0.7821654190316387,0.708139716177683,0.6608291677048742,0.8544715338518544,0.8173804435960096,0.8135483497674435,0.8236651834075236,0.8498740967791901,0.8197787639865148,0.837001384889874,0.9545912668144179,0.9019884778189036,1.0529101323084369,0.7926080248071828,0.8380569617710135,0.7419049423328684,0.733319172214911,0.7641881087209558,0.7927938482626851,0.9140313751935426,0.9046687533560402,1.0339632114113504,1.0425910504989848,0.9564358550930117,0.8642804748649976,0.8307831316243189,0.7776512021982628,0.7478402040378695,0.7682017894437122,0.8905820348515573,0.8038288675936315,0.8511383297562823,0.959897038630825,0.9303350755364099,0.9898508677432962,0.9081236924382037,1.0563603748638744,2.2754771155978686,1.8989034379153886,1.627792173899105,2.0628086873089537,1.6983822922755671,1.5045435327339496,2.1377777034531538,1.5128677318595245,1.5275078149809178,1.0603521448759246,1.341731846520471,1.1244774681001988,0.9542437825251298,1.01320300916824,1.0226996826169605,1.183055796833377,0.9655892894584288,0.9376210636015229,1.1178782463666572,0.9741442267110086,1.0354918515010127,0.9809555425389379,1.2495955366891531,1.6845961393077842,1.1514661820473713,1.1301233372343844,1.0188215633009683,1.4734347922230246,1.0244817282730017,1.0526781310597533,0.9925520256174166,0.9572012959468645,0.9140697490847005,0.9272855359397607,1.5468156103433142,1.0427155719409673,0.7488821014801136,0.7923876654802393,0.8509506656066913,0.8996784101954464,0.9206636756380977,1.019287666456116,1.031918737110483,1.100378369450477,1.075630380817278,1.0455856779754826,0.9769867882838925,1.0545285012996053,1.0803074538128272,0.9885723933843883,0.9372326275423346,1.1291656957950331,0.9501745296979706,1.0084495043884318,0.9032397055856043,0.8854419334135898,0.8839799185445096,0.7996177989093224,0.9686225786669349,0.6821612802063258,0.6504184871138996,0.7838326792496484,0.6136821258946721,0.5930977181937688,0.5880239590446847,0.6311717635267834,0.6407625256317571,0.6732001986455365,0.6943584653859242,0.7237884085647754,0.8287342336658853,0.8817087301788568,0.7792577044688954,0.7462734317695935,0.6942182489106997,0.6242581731677012,0.5511738614427202,0.5603020285390684,0.5545186745217239,0.6019766559405186,0.5762570093255501,0.6606881494864542,0.6002706302780468,0.6691812885527356,0.6195691429368618,0.7898847522453807,0.6260786989077819,0.629267270786915,0.6855592412905569,0.6572190297296222,0.7115932343600678,0.669011995714458,0.792736679874346,0.7764824653456948,0.7298801745315538,0.7079197351155903,0.7195791382989314,0.7497472538238652,0.6993802385462212,0.7094411083090368,0.7114287146750188,0.6812730062749289,0.724738768652643,0.7538894215917517,1.200028623856637,1.7707187831403102,1.2388728805477025,0.9528233825520243,0.8389234806354983,0.8072561322248107,0.7818552227184488,0.7715119699936415,0.7174744049611622,0.7436573293605179,0.7161849697216549,0.7062478165992314,0.7629553092899881,0.6705200230053295,0.6176953494947162,0.6431261086683749,0.7816725726128131,0.7307664266276382,0.6522853135367392,0.6175729218251287,0.67664715160277,0.72419691749301,0.7275760253916854,0.7595555048600032,0.7914973465488754,1.0043503146472856,0.813222081807057,0.8414904381811695,0.7472379661363568,0.762831409267273,0.7494079324144893,0.7131238719959521,0.6928349268356613,0.7453976671053867,0.8340453522209085,1.0885244594725791,1.3342754702451787,0.8288983725021803,1.4552762208907204,1.0314422454319576,0.8042811709997714,0.7503498618950283,0.6836458584356798,0.612165115830838,0.842449471760426,0.6374488949822007,0.6416780285573079,0.6652273933844478,0.7111279825464131,0.769610383432087,0.6762026030538211,0.7194399071194406,0.8225251408559001,0.8083236935486319,0.8946596499922886,0.8447050180714565,0.9942975388924628,0.9103567173119114,0.9519030531039052,1.0778411913601968,1.1148189854158557,1.0906322681386718,1.1409455591821767,1.0592764491897337,1.22342696823544,1.0022967004653334,0.979618109979451,1.0595384376120476,1.0850241953979565,2.627707373197561,1.2793086189824878,1.4577850791459277,1.140883114846959,1.152897570458661,1.0807207984950544,1.0513127378978315,0.9825828594114719,0.8531952206728183,0.9543208719673183,0.8825084254065633,0.8959637646687237,0.790314672128502,1.0418796224968272,0.7789470977676936,0.8485257616656904,0.8240874490034092,0.7259309013999145,0.7844525917165794,0.8638983344587905,1.0288234640331562,1.1683987388605679,1.367225813094739,1.2765966834483777,1.1620751359307813,1.1710535970887483,1.408990487198201,1.1302740193393117,1.1061040281651098,1.3287823773717424,1.3693902475820656,1.1607645428069087,1.252899394073625,1.409850575190452,1.328983482500225,1.2583203270830814,1.3089774936190528,1.1817489628695421,1.1561267709541003,1.073057116424392,1.0685326616691493,1.0481695468284846,0.9458360517842891,0.9150578552319879,0.9204477212347998,0.9231126704347655,0.8307931253313448,0.8480632699876324,0.9836742970701214,0.9756485666699819,0.9053268825219852,0.9909079074677495,1.0929395522388632,1.1875317112822175,1.1144593466655017,1.1090407959800819,1.095519286175812,1.244401307990246,0.9848377817955596,0.9110997980105793,0.9249828299916181,1.0189619263828154,0.9939947226049748,0.9980664869088679,1.0419156647826608,0.8761096940804705,0.7285597795196394,0.6501493965477363,0.6639548359378755,0.6625307937807947,0.7616167525021506,1.1865584613185565,1.6482192561029758,0.7263489877759849,1.2055400886411936,1.3252034458373376,0.9117858976384478,0.9660887067441527,1.5841079669685372,1.4300702871286997,1.0013063774771225,1.7453075107190101,2.8302440241745686],[1.3436587493025607,0.7376043060602112,0.7082407309394503,0.5150223886318358,0.5347623777166505,0.524779224698849,0.5077583096397058,0.6022812021517,0.5055921616773618,0.47547650528917607,0.5035815588773885,0.5522353295103016,0.5145346443192137,0.5351342018657675,0.6802714855105649,0.5975321496625868,0.6476188095350381,0.6768058661791919,0.7531023557687311,0.6815859513307351,0.7194357295559819,0.8127973339005334,0.8176048305263998,1.0104445951611165,0.6852779025022082,0.7414381761921485,0.6197433745589667,0.6011341361878804,0.593799159065196,0.5772741962047024,0.6906229764654658,0.6264869418762516,0.7448680239363706,0.7425973347426161,0.6652293996686598,0.6313018258325274,0.5966077400177198,0.6117115370176294,0.5705999537465307,0.5655989712818251,0.7386932129186407,0.6747019037432049,0.7165707621845058,0.7953320660035584,0.9315804988958767,0.9092440349416452,0.8550201931602449,0.8755330278840997,2.1185017190641107,1.6685665608494882,1.4010599447375107,1.8002228769845388,1.4269582194355073,1.244515588905979,1.9485602233601111,1.2637799442158582,1.328428254319975,0.8486574018749808,1.217119573633801,0.9370760088425156,0.8286404009202056,0.7957137106885135,0.7850094671942875,1.0484845778538052,0.7824761473994601,0.7377217790850412,0.990058113108793,0.8172729102148638,0.9412256263141852,0.8691559838816366,1.1722303413085629,1.6838474927015072,1.0731900718752803,1.0647006239065773,0.8363961852467958,1.2974179470634388,0.7715722783426833,0.7856012925556515,0.7252918682681426,0.7107162368596179,0.6518567759363041,0.6843909305844473,1.3936007804857833,0.8003403180167875,0.5685436058153425,0.5706962034770465,0.6315453285561641,0.6561850459616089,0.6797990287348,0.7412228313542009,0.7666831560177954,0.8555533661435281,0.8252479612290473,0.7726044655911966,0.7320199032453916,0.8294480785911952,0.871110843660111,0.7027496042245502,0.6422923033531394,0.9112235368634413,0.6525668588600249,0.7915901809348639,0.6588931317599092,0.6885557654007113,0.7177673915907729,0.683094067673795,0.8476710436919268,0.6418278753807456,0.6655220173645319,0.7775315419511081,0.6077403449057569,0.545774292448551,0.5216564827713913,0.5161790106945554,0.5241317872266394,0.5918521560851463,0.600388011124544,0.6742003904418391,0.7546885842220017,0.7787660387141431,0.7095130952201555,0.6768580843467661,0.667792566231575,0.5758704208828627,0.49293565208859275,0.5078331999723016,0.5541025394649289,0.5535456683129895,0.5657610249611736,0.5920173383171331,0.5576386057754509,0.6111069275235528,0.5544115778941336,0.6889405390177072,0.5757198223854242,0.578102708158695,0.6401497842546103,0.5796895050558653,0.6338178544396524,0.5995293030064948,0.767208891122064,0.7633634630175383,0.6699300538754597,0.6105800734888203,0.5732145667054086,0.5797481163037813,0.5577827436460958,0.5641711624105562,0.5562468589375233,0.5426644553731288,0.6285562434062609,0.6615710610129124,1.1015764037934805,1.9426327354144097,1.2749016567406246,0.7890016429964826,0.5885863728660663,0.6180056894266565,0.5607171036096521,0.6066857488817874,0.5529556591309541,0.5592234243210643,0.5766924361573423,0.5366618581080708,0.6270698769482231,0.6143205581314881,0.5616149808086054,0.5857108388971394,0.7152471752452463,0.6647823565129378,0.6036945108069136,0.5384974775578993,0.5612891196386918,0.5681737125181684,0.5392294744990626,0.5684143907950164,0.5819049181708889,0.8410547794663801,0.5790685627953996,0.6834545419764803,0.5626757410979547,0.5953686989695601,0.5945467355313687,0.5597460122360222,0.5818071638254169,0.6453057825239875,0.707017598749984,1.0319658461124268,1.2760391636500024,0.716322172499124,1.4204238407107155,1.0189260168053416,0.7633433398191318,0.7175768267621959,0.6348927536729204,0.6084841873738486,0.8571007962126859,0.6057198751896153,0.6146193662074257,0.6613242285411974,0.7263211804629902,0.8016248977008857,0.7037908560554982,0.738017038056869,0.8547666709500911,0.8562896362721201,0.8895314466299828,0.8422243843922659,1.017110174355299,0.9265762050980452,0.9388976122751601,1.0643782406583642,1.1276473367323898,1.095597717266318,1.0900346425917031,0.9869126395593647,1.1651102529779833,0.9203372949671272,0.9398323852025349,1.0266006493585849,1.055845260002434,2.6497308613987745,1.280472379994561,1.4089459943018634,1.184019037235136,1.187078887907509,1.1011938956856058,1.045174848487377,0.9906600355992441,0.8672444320139375,0.9713504415460755,0.894147882130492,0.8743404447349318,0.7825276594636699,1.0660248438982538,0.7591819371341016,0.8260527006372544,0.8374775249270345,0.7093503846786665,0.780979335282162,0.8938184260592301,1.070210365717317,1.2327000999933797,1.3900385570443579,1.361405125920715,1.2320470579449034,1.2360763254917781,1.4944147482914443,1.2023935837659854,1.1564649831400948,1.377552950856178,1.424809942999536,1.2024312667428747,1.2814599274495848,1.4336562325504196,1.3552310785614354,1.258078832351898,1.2999755739452743,1.165737408815304,1.1684169012152559,1.0964216755035245,1.0929518478976423,1.0361898194360835,0.9496861265850403,0.9186125744247318,0.9205378512237767,0.92012536550021,0.8336579427057207,0.8537479753276428,0.9579866304572587,0.9394023659533748,0.8813052735111712,0.9479593441442329,1.057468696002836,1.1158244908130348,1.0340512968227944,1.0741425144084653,1.1314361672347115,1.1310278396828575,0.908330844589894,0.8458525784646695,0.8708656463480646,0.9492608337654536,0.9489633639771677,0.9691928751058672,1.0230641198106634,0.8454813353691154,0.7245762591855466,0.6359822513230943,0.6530338894102139,0.7141202665163732,0.797890589419122,1.2097720205411615,1.6873029193598623,0.8153094792609863,1.289698539070981,1.4989983147785784,1.016358646540392,1.0578084845296936,1.6606805828031241,1.4718902324076462,1.0508138360141215,1.7565100501347877,2.6085820648694935],[1.3540840488961412,0.9186737421954917,0.9128116188291722,0.7738977626579437,0.7615920351727734,0.7404305556324138,0.7255581225034214,0.7790460820911843,0.7159773466625322,0.7488710101663014,0.7875521879549767,0.779679382612098,0.7728579239940822,0.8069235204870631,0.9393162347760188,0.8645965235064351,0.900166272771894,0.9038384370062466,0.9448441516383043,0.88668527961984,0.9104881027314371,1.0130521371851866,0.9751580695086284,1.1063367883811088,0.8843314277544989,0.9349062730799425,0.8748037777792499,0.8623349862982878,0.854215467387666,0.8331469522000307,0.9315197168519814,0.8662229049403859,0.9233170916026228,0.9605611556981267,0.8860533860782303,0.8702638370888568,0.8336104492872672,0.8544542892617444,0.8230551965667537,0.8158856146531307,0.9584501738035224,0.892989988643456,0.948212334867309,1.0429535859953678,1.0189319506612606,1.1068731488032242,0.9962480224873878,1.1022780776156513,2.25816051638555,1.8841631568085062,1.6659170832490846,1.9990252122987333,1.6584191106287063,1.4860974403644078,2.1490786557463224,1.5000845154640068,1.453577401210271,1.055580581393734,1.4193579082631675,1.0926280877318137,0.9657161383383659,0.9882123383798131,0.981995700469031,1.1739262307440859,0.9780505679872684,0.9529376993121453,1.1610278994070002,1.0000706821174892,1.0796680571212833,1.0539193910298752,1.311681627115157,1.7298413415531249,1.1870067271844065,1.1416449454351782,1.0715316980675071,1.4601622140383084,1.04284186680875,1.0137848457769276,0.9452346755055792,0.9251435972330957,0.8723638800499072,0.9455448416980035,1.5935218675230802,1.0433598621788034,0.8043252546487671,0.856577842777474,0.8892964162404632,0.8702277476530371,0.9117395639267847,0.9507266473282617,1.0252635736865674,1.090237176264113,1.0636780242158153,1.0258589817500814,0.9795045156496656,1.080428421834796,1.1159297035306075,0.9419245167293101,0.8613276075580837,0.9717522296921555,0.83835419878293,0.888275972552704,0.8214745323169393,0.8187458998324173,0.838851523769454,0.8159359917555781,0.985437673760211,0.7776067137716977,0.7801750318192523,0.8620682547664393,0.7569950860217595,0.7196331122191556,0.735507877597049,0.7677710062612964,0.7629867915027329,0.8348236123543334,0.8522244849478449,0.8979102922300292,0.966415992829614,0.9794635050661029,0.9241179285768465,0.89776354278773,0.8646764602293975,0.8034401843444248,0.7359915312631318,0.7276815268934024,0.7440828729058481,0.7376037499866118,0.7395155458649849,0.7621481976074063,0.757541318592048,0.7925401119712495,0.7340527362692867,0.8920947914580636,0.7433963069256598,0.7375548798682026,0.8197138090111334,0.8140397995467469,0.8723517557234103,0.8191675203810752,0.9530286560496626,0.9116319807633138,0.8756433464348777,0.820220288759829,0.8254013475968343,0.8289760188348938,0.8088565015654755,0.7907993185908464,0.7739194123143314,0.7435851539861363,0.7503472647629036,0.7708787087777971,1.16397137214743,1.8955070099970344,1.2259491254511368,0.8523888489774021,0.7684448160414897,0.7749810406595844,0.7619509326519254,0.7594429286006578,0.7703358637755352,0.7940742703133665,0.8281220393137202,0.7870104299052761,0.8619358263085092,0.8064977722284418,0.7496333199344175,0.751019115522956,0.8668545758909687,0.8239717750249734,0.7820036162975119,0.750103251247111,0.7417222173753538,0.757756383480099,0.7522387933344383,0.7563027513944413,0.7838249588471263,0.9884146178043505,0.8250274107718474,0.8378969783421482,0.761438047515007,0.7718990408993677,0.7729645502044977,0.7430985467695721,0.766250881020167,0.8057242494552093,0.870105158593073,1.1751175383763985,1.3657273113115076,0.8544728257883736,1.6113330774080914,1.028333305614353,0.8376212835715928,0.8370077532047885,0.7996782819434325,0.7741335842176406,0.992356168054507,0.795082992372362,0.8041792308871283,0.8302114677847086,0.8846702150384278,0.9380686962404875,0.8604849874013063,0.8980091368177572,1.0207347210535171,1.010445943177518,1.0319245482713133,1.0127771633192897,1.176775485097927,1.0904829949941124,1.1054787680989848,1.2403730339433992,1.287268399129543,1.2745940290899702,1.2629556143398426,1.1716756005049045,1.3485019577462813,1.0934457541989564,1.1189145776071776,1.201665408141027,1.2006656670558866,2.867276672334344,1.4656887514998707,1.5227798483082275,1.3479218377009465,1.3380421446133894,1.232982492725626,1.205991144186466,1.12112199723131,1.004900370098844,1.1130787787781595,1.0515379692675904,1.0062580993540102,0.9319040570489725,1.2117005673461996,0.921544934251894,0.9794168683441431,0.9309506499659769,0.8782412582397215,0.9221368365063621,1.0203222330169217,1.1928314291301654,1.3099901331150952,1.4471159456164564,1.3999870458580406,1.3101876737243394,1.328122659483991,1.5585666176916078,1.2709294157826694,1.266162419822514,1.4776354871476272,1.511629193687251,1.3365479800238176,1.4221619350769767,1.5589149258219892,1.485212720123282,1.4067256554209073,1.4476661451233734,1.335929746312577,1.3297931563922205,1.2490939468431088,1.263014227245848,1.2197062115865234,1.1245953233735975,1.0950931141553553,1.1087859885093,1.0979973993351166,1.018085834405994,1.0446729791471152,1.0960098804628549,1.082075332032356,1.028977932349723,1.0707223416801717,1.195948500363727,1.258541613427893,1.1732694443145695,1.1835340575829807,1.2645412596190957,1.2678685718787945,1.061694724596703,1.019423742705693,1.052111164794676,1.1102694626843437,1.0851819403328795,1.0851932810077058,1.139338987975156,1.0071558181699487,0.9094447146451573,0.8133678298442144,0.8215065573157396,0.8737153970500997,0.9170151498672187,1.2908633554619642,1.7185371949236958,0.9314256490757254,1.381422630400247,1.5361493918545408,1.1289511252207756,1.2248522962732304,1.7333309279829847,1.5313204531167732,1.2401138948981902,1.9095779887801927,2.7434798438743537],[1.530324092274626,1.1672712925531339,1.1328024679599484,0.9668618020218147,0.9785199727979401,0.9695780287382859,0.9614983259595021,1.0184467402816069,0.9602984618900386,1.0512837418192007,1.1396541270057652,1.1272302459749028,1.1514943511671776,1.2106287212165345,1.4141473161642446,1.3084196039063358,1.3095603023158795,1.392388985394421,1.4614088035851869,1.3785105539987246,1.4158765505875304,1.4702057297005526,1.471319565175945,1.550579544225948,1.3546434159902794,1.401413031799551,1.3124913898576034,1.2632653759257757,1.281478441791626,1.2198052762251475,1.4168412464008147,1.2619374850111125,1.3151985573265332,1.396498514888288,1.274965383488274,1.3076042855953092,1.1880704969300073,1.2504980755199198,1.2073278210436373,1.1719706790636621,1.2577131508073887,1.33480843438623,1.3478577511585625,1.4414292001038842,1.3993103218672351,1.494405198347223,1.3842301784191051,1.4792430786256254,2.5078302537857433,2.154660393023369,2.0095202668651764,2.2360883012662924,1.9280461295849822,1.767462909998464,2.4660967072601787,1.8565086133690891,1.69802793774048,1.431196162467608,1.8358461492374272,1.4949419934307815,1.3778477441804016,1.4843281937610793,1.4618437351878337,1.6327496281545817,1.485350444135427,1.4456720202176343,1.6342898199720024,1.5053281692079707,1.607868508989922,1.5907330317479293,1.7519021057918465,2.1326354829684204,1.7466651220208353,1.708144299793499,1.5937203510639353,1.8837944848506938,1.5336409401529507,1.5190030047444196,1.4136164774354776,1.3447903621640718,1.257330398889144,1.2699519254023013,1.726091844797868,1.313308086485631,1.1143085618544097,1.1707294408808255,1.278780267626435,1.2157326862411877,1.3522192025697526,1.3799345803372285,1.5210878393880198,1.6130955639075704,1.6180273660078908,1.5321627991639306,1.4676259849158964,1.591072465691733,1.5581008222387127,1.3548614629095663,1.2066740975647987,1.2099337188149428,1.1535433734715193,1.1460636951340677,1.1190332209977414,1.0937465632429055,1.1416683383829567,1.0601796028427284,1.2432228938692835,1.0623435841798075,1.0686137654302608,1.1136764016844254,1.0409383587875025,1.009232751088101,1.003941710276822,1.0164038231066208,1.0979260397907298,1.1478857889713352,1.2096631523833201,1.2350160232448146,1.3251604483574113,1.329046547250946,1.327495541964038,1.2630095835141288,1.1893286117650166,1.0970438891640621,0.9786892371236842,0.9715146327090352,0.9903443216986975,0.9876206917997798,1.0003858276285384,1.0239810237802118,0.99869035974089,1.0300418751862206,1.0035031377541603,1.1192178376800601,1.016112005276538,1.0234198808717354,1.0513694896445118,1.0559808284199532,1.1022599252635967,1.08729263758397,1.2203982171803331,1.2660279973756723,1.2374421274705996,1.1556421681958255,1.1716374996239771,1.1651019045775757,1.120512037687125,1.0980423581637806,1.052667585893122,1.038450032246241,1.02524093338764,1.0258605440168482,1.3217102310412354,1.9360547759330264,1.290259207826841,1.088459367543836,1.0848598555359532,1.0540481832641206,1.0706130939698284,1.0342018496577765,1.054162222232584,1.1043399948421808,1.116334363729046,1.1088782845629113,1.1393701389846986,1.0788601918966305,1.0527663679055,1.0530630404689982,1.125130378886028,1.0941108754675732,1.0492455079334575,1.0384202568312233,1.0438614872832825,1.0559212637528232,1.0551457793650534,1.0460576809258137,1.1058155055902041,1.2116446521524138,1.1127336569001955,1.105502794410583,1.0567751022821985,1.04396096015464,1.051897743908891,1.0483870378564863,1.0761721602751653,1.1362367945636493,1.1912111010407276,1.4590036401441415,1.5690171729394167,1.154074447611582,1.8386857374264816,1.2940814477917224,1.0861894001202101,1.0883125984646262,1.052109157103341,1.001672509146358,1.2019962593268176,1.0268619333004603,1.057890184162559,1.0960227231936026,1.1800997466629926,1.237477004958987,1.1382616048727554,1.1667949205320687,1.333903419003511,1.3151992585123609,1.2430169797699684,1.3104888478804724,1.5171233019389045,1.384989333178551,1.3872744593225168,1.5641955774174494,1.5960848608392961,1.517760377803946,1.5648513285673225,1.4358153977248174,1.6657855926476675,1.3553149194481358,1.4145432988026347,1.5239833098318036,1.5033139937792606,3.1836282345900893,1.7999012704368416,1.8070323554869845,1.6619816457104601,1.6622147676379138,1.539487247231236,1.537067135816489,1.4449766326431426,1.3259524503838198,1.3968385102352348,1.3555590585545467,1.2992465354036609,1.2186174501343123,1.4883147377527672,1.1791021960558892,1.212504780538467,1.142320110845926,1.1347686780382849,1.1889776996234873,1.2908694575388007,1.4688223408826084,1.5930989827082616,1.7374114899726973,1.6670866529617683,1.5930080233373218,1.6307063130569355,1.8715990171474188,1.5490381564455578,1.5878776909737946,1.8284860927336983,1.8473790734098519,1.6638617012687924,1.797777601275873,1.9383455609055646,1.8418211168394363,1.7641160086128866,1.8373183201007948,1.7162507492443262,1.7108719653832214,1.6114298031374221,1.628413263476183,1.6002498981341853,1.4648114331728312,1.4354994808561032,1.4441225012988705,1.4057692650028326,1.3024338695249322,1.3465301804965184,1.3727415753250447,1.3351076909922266,1.2636036250952838,1.2865941564816605,1.4015600260298824,1.4524493820506876,1.3797255178004764,1.366802892994913,1.441861483071608,1.4066691350181628,1.243962501931712,1.2518164754595864,1.2791442224756897,1.2793867050606156,1.2269498159623666,1.212111564407312,1.2728257807706727,1.1913647465473154,1.108258851490147,1.0635140655940076,1.0460310662706855,1.1436760677173474,1.1895582562354505,1.5586052047286245,1.9252875473924163,1.1972903408391704,1.612455441683877,1.7357483743172133,1.3334692139213076,1.4643724541698162,1.9646061019258398,1.7736006122691623,1.579347167154504,2.15886885222958,2.9272613025011136],[1.3334302406032652,0.7766137840105162,0.7677814633424347,0.5735524112086448,0.6076575169640722,0.6071481025536515,0.5985014436428409,0.6847099291508332,0.6142133294447951,0.6260820800861502,0.6682155861837967,0.684979629474496,0.6690861038439857,0.7083992610862295,0.8369556703751263,0.743588525264062,0.8049461891543173,0.8424340013199826,0.932398446760324,0.852315117738044,0.8922006011964654,0.9617128106166384,1.0009683642964378,1.162370621097326,0.8379526258794212,0.8989374586487212,0.785216920391671,0.7612825338955329,0.7511085762889506,0.6992874306606566,0.8428394867614892,0.7498083501855103,0.8504177886032985,0.8713228023011282,0.7970053095686709,0.7649320391174084,0.7065264667055742,0.7537203497362797,0.7122472699569803,0.7049532801633906,0.8239913459478554,0.8211995766015764,0.8667646408730877,0.9350922460349069,1.039322918782777,0.9779906933659764,0.9746144453098504,1.0226743220705514,2.169023699852717,1.694987152882402,1.5623593679664909,1.8871343161917378,1.5394517689452683,1.3542165983645573,2.0997012336510292,1.4181233792023877,1.3858537998537233,1.0028178466396478,1.3710180697329852,1.0287308280343204,0.9300766644375364,0.9467705423318189,0.9352706399511617,1.1967691298344874,0.9312083136275586,0.8926139137087332,1.1452689545778163,0.9644644878986267,1.1014188874577195,1.0362846859005859,1.3206741897279688,1.8502548530921787,1.220218130535827,1.2318351093919786,0.9908980445376233,1.4171836862759406,0.9276008543366904,0.9440885574449676,0.8788939430725525,0.8650445862692175,0.7821081640900239,0.823935512303427,1.4607276970036254,0.9233264102594415,0.6663075225364626,0.6996554006045215,0.7796462038094469,0.7830575401240645,0.8281088785183235,0.8676276911670496,0.9129535713418514,0.9916514783760572,0.9753023200635077,0.8999473756626277,0.8661123333073427,0.9677524202405204,1.005563705592608,0.814954606458265,0.7466870123004256,1.0143275075957985,0.7717903179335706,0.8884187335587255,0.7708493295624121,0.8004269583981704,0.8377863918309708,0.7762969894850099,0.931817514240157,0.7420727076945013,0.7537430810655353,0.8484731968237286,0.697244805620147,0.6463237251509161,0.6282799422248075,0.6273588978801569,0.6519407275384305,0.7223765523058143,0.75135347972261,0.8157655281392866,0.9261910423597862,0.9233529766730647,0.8739117516315936,0.8486484537858904,0.8154214244826374,0.7112520436048115,0.6189189710343461,0.6238528412464294,0.6425455667513085,0.628055733344446,0.6520590371033488,0.6951496124730699,0.6549811091746047,0.7187617451936241,0.6522895554436372,0.7945263516639322,0.662893433209214,0.6469079174474052,0.713045989284192,0.6868984431138059,0.7454389778813867,0.7074177310985719,0.8708303466460121,0.8938825136164189,0.7961845339428351,0.7447204396990926,0.7116385986854812,0.7175557730008237,0.6896057332739446,0.6799126536197404,0.6657330942976898,0.6489612280616498,0.7091987361375385,0.7389009223256577,1.1741563538854138,1.9091302329517554,1.222710007444497,0.8794509404890646,0.7013973552031144,0.7262570222156978,0.6661734408011583,0.6970970632870374,0.6614763518058273,0.6922749854079635,0.7025198739142434,0.6783487151753025,0.7434956327767008,0.7379093211902527,0.6594490584848244,0.6625910609762818,0.7537645706701575,0.725952701358335,0.6642808880662979,0.6360931764753823,0.6717902095813494,0.6806329079580354,0.6697460403365643,0.6977721601138585,0.7043495105384102,0.9354989805272422,0.7312048060723658,0.7969557182647906,0.682051011122947,0.6980751595813433,0.6977365069183528,0.6812262860191777,0.692702858107846,0.7690931718699137,0.8010166369158247,1.1175165125499262,1.2830946444434561,0.7827021985876014,1.4976462717524786,1.0411681991876498,0.7960766787193604,0.7758055567068841,0.7184074578890667,0.6869110797348783,0.9289537891923344,0.7044231175994209,0.6960409511134278,0.7426367270619235,0.809089141395586,0.892043077896322,0.7831262385353492,0.8019490093859951,0.9439431649260492,0.9336506802480043,0.9443503099299987,0.9144631303696367,1.1112817874683494,0.9914259283327218,0.9980096736385576,1.1480579850311194,1.1979592543194957,1.1460219090076194,1.1635203779000993,1.060906795695836,1.2505010267375438,0.9934492797628167,1.0160731477924823,1.1064542548105845,1.1261432801272047,2.822313272088794,1.396677105946238,1.471458974280675,1.2894655243939772,1.3151304899558216,1.2277141681343562,1.1932487966875438,1.09321532686956,0.9630215153419229,1.0834774610110063,1.0037630382573104,0.9464976772931107,0.8635440036813327,1.1545511649912497,0.8265516578079859,0.8816025679934226,0.846377575768847,0.7882765667102614,0.8770310368730964,0.9958976300843193,1.1841704120707046,1.3436693644635755,1.5044038619233004,1.4580831365273128,1.3419732477412567,1.3446913966739338,1.6086661417460633,1.2857630187596325,1.248774684805016,1.4897774673978557,1.5222054895701804,1.2971994890386944,1.4053754322685932,1.5650360503741998,1.4556178395310315,1.3667360941626345,1.4257171229446521,1.2889183530494228,1.3008291747387457,1.228121876938534,1.2334159471774648,1.1705951364904532,1.0526094311982637,1.0363829503177842,1.0279841908144167,1.0018985135634846,0.9193674833378997,0.9470575770614835,1.006140976475586,0.9906269241703296,0.933764660040186,0.9887252620175837,1.1006314824782506,1.1758766347508334,1.083021589929979,1.1029264023981171,1.1559199311756365,1.1980965017538654,0.9651757791972754,0.9068452645069219,0.933500842139748,1.0003316187850282,0.9921975807306256,1.002410706699942,1.0632441492856668,0.8925913070100886,0.7876222080593623,0.7172179505296659,0.7182945192556125,0.780444802398495,0.8575258021078748,1.2644277349738606,1.6976581471740233,0.8638597698084475,1.3335630029560857,1.508984862997722,1.0603761688831195,1.0868767706744744,1.6819396559724868,1.489519866887203,1.1284351671540573,1.797372472302817,2.666496707532672],[1.524814736009366,0.8961144416539716,0.8429018081482295,0.6468133797008868,0.7376843992775435,0.7255412973833678,0.7021560873553586,0.8164534428429177,0.7042918425526804,0.7146838640184332,0.7706644054534173,0.8596700400132006,0.8148727652190588,0.7734809573301572,0.9281648574495249,0.8898248889191998,0.9173248855018901,0.9534404173640253,1.0120467569353182,0.959920634230573,0.9866521470138834,1.0737066801514688,1.0785580120542235,1.2231358187629144,0.9296071498480208,0.9817658718146749,0.8720895053657309,0.8622878740567761,0.8885224060131522,0.8779369051306463,1.0065782599905246,0.9536551484523473,1.041071710433509,1.0841810931591294,1.0029372788010493,0.9482936929215982,0.9263259768509071,0.9247596371246457,0.888024737273032,0.8919614312729475,0.9550861210371887,0.9647614125719707,1.0058106854784115,1.1141005109657929,1.1454929210454052,1.1008845436295274,1.0960508759105467,1.2018524732164548,2.310172540213695,1.8975082019241576,1.78567811451413,2.070162379878678,1.7370731449880559,1.5612178565899675,2.369838018603565,1.680673184635493,1.5003769145552293,1.1780175845947913,1.5669635805942863,1.2074804415314104,1.0640540523192281,1.0930348802230199,1.0903623707795005,1.315827288880032,1.0781594096029092,1.0376670988254961,1.2127191023281647,1.0709221659121981,1.1944889875864106,1.1161747208755204,1.3520215981165273,1.8857443088458345,1.312910661820243,1.3311692217213884,1.1247498025546943,1.5624054485612582,1.0853868210048807,1.1305953494911822,1.0683862573262537,1.0586505393518124,0.9949138564261026,1.0246188189923662,1.5585938141999647,1.1087986548486175,0.889294927993307,0.9085333094753563,0.9764634453042897,0.9461027926954814,1.0064275701869947,1.0656503791349883,1.0949431114799717,1.1616411797815274,1.1490208132667872,1.0905164937343836,1.0352656673201235,1.1071901916912257,1.1256725323599157,1.0357473964924808,0.9489483083530239,1.138079844187389,0.9814385527479635,1.075647809643299,0.9782529618346286,0.9946403476120631,1.056181359587209,0.9436205605024349,1.1106552853923766,0.8981315163200099,0.88182550270587,0.9783431655806106,0.8313607101171911,0.7934689936033197,0.769495455293547,0.7722543503168336,0.7679681188305011,0.7945752778726207,0.8054462955776449,0.8477321450234485,0.9211718873923209,0.944204394124998,0.8852556114927315,0.8590145768521746,0.8225409228513101,0.7623910816592502,0.7058549569355721,0.7383120782208081,0.7640384015892627,0.811292365931982,0.7968534013456064,0.8433852105846533,0.8196087927718226,0.8733082492408706,0.8336306444489668,0.9502717836760529,0.8223362649778873,0.8086837278048666,0.8207984926960775,0.8175174088920729,0.8249676122604922,0.8078699815422732,0.9028330858554967,0.9318367849076256,0.8514403153448529,0.8303990559987804,0.8303691023388488,0.8611589765535178,0.8195763078873913,0.8423695936901662,0.8496791660535007,0.8244130011254208,0.8889296253008558,0.9087764492919315,1.3304468730665557,1.8743477137661377,1.228504691472051,1.036612814325581,0.9097782215362821,0.9298811974001935,0.8841331838352624,0.9098959012977037,0.8646188986037414,0.8636156197557713,0.8460371219916167,0.855641603931918,0.8809691218636919,0.8594021534764127,0.7779230682217764,0.7883934983980155,0.8947683522406031,0.8550734808073996,0.7956839558928668,0.7983688114943607,0.8398758985424208,0.8791208985434676,0.858171464490692,0.8806701973252814,0.9105156395955722,1.099654938493505,0.9193801598716459,0.9735798992724553,0.8892617196956838,0.9024829961223183,0.8964745719431779,0.8768369233959916,0.870438585186132,0.9205781330557381,1.0033483710484339,1.274804324205161,1.427625866575379,0.9494862539370895,1.5680091019951452,1.1226501253803547,0.9289803186603608,0.9067019072856073,0.8899338549695076,0.8511144059179425,0.9910522440611131,0.8529331279736824,0.8537714119214195,0.876708719190875,0.919514668136633,0.9682578242081724,0.9023881565369734,0.924158427421508,1.0061107690223847,0.9899687628367909,1.060840818601103,1.014438187408587,1.1543988046844993,1.067877434337551,1.106298301786776,1.218146316955016,1.2391129790236786,1.2213355925927296,1.2476874159247087,1.1728334897347392,1.324485942408296,1.1353190772285016,1.1355822989342108,1.2166520526767444,1.2484621762856867,2.7195985265220237,1.4019258626668494,1.5870438863749017,1.3118310264536948,1.3611304988923472,1.270849962660633,1.2282834783411514,1.1937087615831317,1.0498712285456517,1.1325525391721136,1.0586867879295967,1.0605316535021172,0.9608211694784861,1.1718242101201455,0.9326999612179698,1.0023473198826238,0.9836164050828557,0.9134340040612957,0.9467055411928103,1.0448945630445032,1.205766296950994,1.3288060597959546,1.5415483081258456,1.4061943657274125,1.3321499565823849,1.3678479896351583,1.5820800076833357,1.3067081828053815,1.280677654618784,1.4810649536779243,1.5050362319875568,1.3108941708710922,1.41696776573297,1.5670966564906774,1.4659567084213319,1.4033834837857992,1.4621692306565286,1.3390877456766135,1.3265075714114918,1.252572560535169,1.2503349959532404,1.2337178901234507,1.129363867284433,1.0917196341895268,1.114484779231745,1.1210119231697153,1.0101903748905787,1.0188710547917554,1.1414206929830981,1.1183373001392556,1.075342964559191,1.1769734324393695,1.2004909083024617,1.3082961150347376,1.2368252749721715,1.2179532967672138,1.1634415737443047,1.3483950731314802,1.0989521220102407,1.0551679097804065,1.0573352507998068,1.1151675768350722,1.1216875554718961,1.120734436374404,1.1412024857477596,1.035489076376618,0.8999824458163823,0.858227050146201,0.8443256004420636,0.8668250030115535,0.9652622924383454,1.3545853116238822,1.7136228470222785,0.9182921275534259,1.332651303632885,1.4245365089520616,1.0399261130980804,1.1030383274775415,1.701798709472557,1.5412185206918492,1.2045908538552617,1.8257697203168282,2.904066531255562],[1.4614187041568343,0.7879317445864406,0.7020761463359881,0.519464722475479,0.5116069608064256,0.5163813340102225,0.5084581318872698,0.582523813915702,0.5039941375025562,0.4685546014798715,0.49192149780527883,0.5532068200893825,0.49639178351124236,0.49090749533520994,0.6268889112490968,0.5918643693466651,0.5944786654326295,0.6473022014107344,0.7468662396988717,0.6859631080445664,0.7402294066039266,0.7766621395853792,0.8721345074294744,1.066965167804387,0.707167535295681,0.7354771806263054,0.6157193530042698,0.5741963281450577,0.5779744960197966,0.5701903321664504,0.6755337717406603,0.6556040650687991,0.7584809824415396,0.7527170694901432,0.6925090516941432,0.6268162808414591,0.6011592354055849,0.5946686283707011,0.5575154139950338,0.5659445734714841,0.6949299232829517,0.6774632740738872,0.7133965589437634,0.7097974389036659,1.0726560154381015,0.8918412490319955,0.9699587287964955,0.8072835010085261,1.9226766934348427,1.469028467291412,1.29309705492206,1.7292557928664656,1.355248387876977,1.2009577320381308,1.8839225105462998,1.1631638138284193,1.2772306285690256,0.8698255378417289,1.1984347465276004,0.9453827670626065,0.9129451669935909,0.8335463230900386,0.8263802982147928,1.1351131077230407,0.8156106103082391,0.7590495851267779,0.9836068284034555,0.8071329745346978,0.9774116281079794,0.8392173258693826,1.1388002743657213,1.6734161685849018,1.0494713330418166,1.1011433861141997,0.8068347792086077,1.3160905537859522,0.7452410964951754,0.7943317058265876,0.7309435666545626,0.733011935796576,0.6676889494290915,0.6851192101837446,1.3951705276455921,0.8196264072227958,0.5625362400215671,0.5777206617231667,0.6274354443489063,0.7200471478119059,0.6817765898181941,0.7472257873009265,0.740961540707113,0.8298844495479567,0.8034980221560811,0.7565682454798289,0.7012857805077479,0.7847614971576139,0.7837045690542965,0.6940360259958925,0.6614838877374957,1.0001853278030122,0.7148081443777188,0.8353065835635778,0.6918007542849339,0.728768004200427,0.7518629280610316,0.7215104316501095,0.8955229951176205,0.6405395544658148,0.6581310384233618,0.7582488709702327,0.5942862548167942,0.5532846730513292,0.5037420515277188,0.5047036831928483,0.5100235632568278,0.558352326544492,0.5690555211377412,0.6327116755510425,0.7378713621888378,0.7547254572354299,0.6692231099392405,0.6329126760057536,0.6552597621584674,0.5298967951043408,0.447863727472275,0.471381283637056,0.5233364651551866,0.5302983111619797,0.5262137074663148,0.5951284129796198,0.5192117718110182,0.5784079672151978,0.5382507589894214,0.7004247814687813,0.5848409845407052,0.580047473770628,0.6492156138530686,0.5503882612985779,0.6097295193965743,0.5868812847847286,0.7512638062051878,0.7708405538712844,0.658159467402598,0.586440141559512,0.5438279285952048,0.5437138586372184,0.5335867657484955,0.5365875726131174,0.5515034418952998,0.5310363530848,0.6344530436903945,0.6555072299932742,1.1131559768437707,1.886057293601215,1.2603879083488287,0.8277196739273356,0.6211436170282453,0.6387393551429664,0.5741343544264202,0.6303019026019829,0.5479234501075989,0.5846936572593271,0.5611855349832221,0.5380053114707058,0.635673549042027,0.6358217461023419,0.5830411667801112,0.6111476670915799,0.7266863092873387,0.6917341074273782,0.6019120731032901,0.5494463680144169,0.5692353390969043,0.5707663711442523,0.5631979276856216,0.6089377238534516,0.6158902724014145,0.910882343759983,0.6295608599885877,0.7289355167555671,0.5794706129669966,0.5909909425251693,0.5912530112549639,0.5617933755270299,0.5663437225195338,0.6394837277616712,0.6931645012085915,1.0381707853218565,1.3071642325425157,0.728479208316569,1.3854561712802178,1.071123908405778,0.7721513739018045,0.7281199153373232,0.5879991468505485,0.5780388289798705,0.817358192626242,0.5637380966685108,0.570686104468319,0.6174202212192306,0.6860226065526885,0.7681835760298266,0.6612302312067676,0.6902966742204284,0.8064279111068547,0.8028804567020597,0.8345534255684932,0.7937335916527937,0.9826677733245538,0.8755135864160435,0.9000558017859218,1.0439940013102735,1.0999922518533842,1.070600487057072,1.0980527819713632,1.0001217349117932,1.1682007104347232,0.9311677863417025,0.921689360799125,1.0204588710386175,1.0415912090727304,2.543730585222464,1.2676126829530479,1.4586139266574405,1.1541528526114515,1.1471151490892075,1.0729260549595527,1.0358216358993737,0.9463050183344667,0.8367677804483414,0.9564805757022211,0.871377070076609,0.8814767103601163,0.7624812906803909,1.0257506018189761,0.7599786545658969,0.7989248555825536,0.789066131411346,0.6711259544155703,0.7690271063946698,0.8750165275420995,1.0631589709691063,1.2209092767985257,1.376792487900877,1.3365827446034089,1.2164717814538877,1.2101030212083748,1.4570776894533857,1.1713988616165372,1.136747930134984,1.3698944720557107,1.4213455217488082,1.1761412837777299,1.2619028314694858,1.4302746616741484,1.332960638809275,1.2349719187892694,1.291835581857108,1.1507365648491692,1.1510061662839306,1.0836885652868034,1.0702691971136697,1.0250459829610703,0.918248832502208,0.8945822998568487,0.8937402702299246,0.8997017186840499,0.7952822232817228,0.8195536838280604,0.9533341692789046,0.9219514191959645,0.8460968268417736,0.9290930696246202,1.0577225990016104,1.1199658967374935,1.0468985573318388,1.099473459551782,1.121005833679689,1.184840948900383,0.931788057202755,0.8324135450169289,0.8396202460894224,0.9481704488505576,0.9358624604525145,0.9759093386898734,1.019316065807387,0.8131856016581244,0.6515364860725789,0.5866243890547612,0.619454915532797,0.6616481867900449,0.7985041996472997,1.2460428316995922,1.7256524244886717,0.7937680015496072,1.2762393729387047,1.4459784423001543,0.9955963210099178,1.0146766793806528,1.6405880957167602,1.5208293430840072,0.9409051945397412,1.662831637338645,2.643463733946128],[1.6761786978809958,1.0517698304625573,1.0068692126254764,0.8234493872909465,0.9412380455005478,0.9919927530333875,0.9928292696190492,1.0764944446342608,1.0284837068572479,0.9997525285923693,1.0757492246718465,1.164127738846071,1.102734282037213,1.033804071157886,1.172818457074043,1.1834918426854273,1.1429258248079726,1.2016870884780597,1.2192059132973905,1.1999494775447404,1.2221814601024903,1.2718346465785353,1.3117913777260128,1.4578964720457852,1.2070005372756876,1.2137461031227617,1.1462433057249608,1.1241788490507199,1.166120143458077,1.1968857942646514,1.239278262858843,1.250150341767052,1.3437449867286242,1.3253617113330944,1.2764354289330118,1.2382217503433683,1.2250493242490539,1.2011456849079885,1.1471962493067727,1.171825744953289,1.2146240860848856,1.2181824315115204,1.2497729537828628,1.2343837211024196,1.3831683840808682,1.2672930405889942,1.3407108378493875,1.2499370453270549,2.235890148514777,1.827548166273851,1.7255831251853144,2.0950659307923725,1.7600819482992232,1.6027501739868548,2.256206704893767,1.7201271217344112,1.619822163100368,1.3978154593883498,1.7101564020725375,1.4299233999483665,1.3511170969130268,1.3576153324193132,1.351450221169364,1.562015185975299,1.3019112678045908,1.2927986540370537,1.3674440217627049,1.2805674810124112,1.3635132415466387,1.2545710891345905,1.4580000332936947,1.8640676558676974,1.3723673392416436,1.4343512945362222,1.274430401201463,1.6774644253040454,1.2686746283828214,1.329099005175406,1.3030790180501135,1.2885887506866762,1.2974199731320988,1.3066480000849199,1.8459683501615867,1.3645778558810264,1.204136020726811,1.228535595644148,1.2398740195170974,1.3212061786884794,1.269058313663928,1.332478807857125,1.2867657220062036,1.3019060745873252,1.3300768859231062,1.3257277716131959,1.2885322880801158,1.3348973109218556,1.2853089915214262,1.2893036282083237,1.2865877990881327,1.5444610138736652,1.3294788370146784,1.3968303086797234,1.3052855044461673,1.3201259687544518,1.4197498237429989,1.2545574004126936,1.3647165452106176,1.1574693276575367,1.1579236111370812,1.2283214903681,1.0929100644805319,1.0966546697702126,1.0421698642605652,0.9903960761389621,1.0203678661583544,1.0026930884196859,1.0366741517924707,1.0180081280837585,1.1755658433274212,1.2123350093010214,1.0920240133374026,1.042976546625762,0.9882084447668209,0.9599475446049403,0.935135281576204,0.966254070225028,1.0102230622612614,1.0449636042848713,1.024905493813,1.098909994130982,1.009391367725468,1.083368090362491,1.0552119492011096,1.1876605908280862,1.1040067403304323,1.0887120141281617,1.0637599228815888,0.9643036057469758,0.9453997083164946,0.9893961644562874,1.0243229812380525,1.1141300198512807,1.0586634794012184,1.045754312218788,1.082996793303005,1.1141582889223236,1.0680050246744623,1.114765255150381,1.1256486289648566,1.104411764109594,1.171235072723256,1.193009289083477,1.5796368363932674,2.2374951872248547,1.6924058206340782,1.3942884969303937,1.2204375517561208,1.2464973979874117,1.2100506742270927,1.2015825664220408,1.1002568873988992,1.1336973383434668,1.0870234665638443,1.1277047562942322,1.1238223438766997,1.0661415895508168,1.0480116642365054,1.0348912054320298,1.1182376933821432,1.0719537306732192,1.0539341881703603,1.0370275995672331,1.0924370081048695,1.131285776944225,1.1524848446003353,1.2534063567727773,1.2530943770682925,1.486456615018432,1.231478172126831,1.352770610643754,1.1520471684891957,1.1782492945083916,1.1720320197224616,1.139638860533524,1.1314755117517827,1.1762805430488819,1.1953695450618822,1.3969237069902973,1.5855709186651004,1.218605541035894,1.5758071790246257,1.4574144968314222,1.2083732754493306,1.1473609545962271,1.0272536741808727,1.0686470992594193,1.193882740055194,1.0377943250408472,1.0154735056367057,1.0777920182448062,1.114182231037812,1.1928773091686886,1.1058601648471298,1.074370869488422,1.1934463411829055,1.1847688950440909,1.1565543961532991,1.1335726193903921,1.3006834279704875,1.1891814010129846,1.1932627387536363,1.3298912649982966,1.3627351026858137,1.3319495382062398,1.364986630379998,1.2361722848923697,1.4638386407441846,1.180279439666001,1.201993101199308,1.3030462334593667,1.3032154092450252,2.6871381705438964,1.5471566139121653,1.6984929319786626,1.514206119779358,1.5206972997510608,1.419374505749787,1.3824267137552895,1.318993718362497,1.2196144575909322,1.3252989846896834,1.2345664960565852,1.198060763564457,1.1461171491260298,1.3473737957371354,1.14619207713679,1.1545043066555933,1.108818831512035,1.073256988402959,1.2143926113823729,1.3047298408717771,1.4321532389517202,1.6034636123784671,1.7619393788612703,1.722038425653581,1.6064794603183414,1.574267021520363,1.7608652634383344,1.5647848678316625,1.5034096646546502,1.7101845791011334,1.746595610395329,1.500338357890797,1.5780628975772566,1.7352138631677665,1.626405204505208,1.516295770101439,1.5807556535884424,1.4436564532081362,1.4828904820971078,1.4271262424514657,1.423134204873335,1.3475426296007789,1.244823290811712,1.225094621415906,1.2138635942550788,1.2064947463654507,1.1205535476955608,1.158796704831313,1.2215970650082149,1.1534159597877793,1.1505248078069428,1.252564952861239,1.339282047130196,1.3839255865624462,1.3216503026953628,1.3614261568338972,1.2495961017070918,1.3312946621508315,1.149906795340556,1.085858189414867,1.0944348633181835,1.1480932048643613,1.1669139075741393,1.2131692735001176,1.2216420573389961,1.1113384407693896,1.0347232508186377,1.0268561070003217,1.0294361745092158,1.0651026793204286,1.1741369348190067,1.4867345503109939,1.8231378338183908,1.1520474290264529,1.4754884739861411,1.6248902787003046,1.2409119503237722,1.2006289492181885,1.7778560973787856,1.7235262390517747,1.355120995833715,1.8492043923806067,2.9121387180430816],[1.5259053802497191,0.7461253254909865,0.6176611217360474,0.4259297194952004,0.4483602417221821,0.41711882271411377,0.3786816929338896,0.49976697621189625,0.40271011447369554,0.35542844698556847,0.39559439914251115,0.5020829764927939,0.4102624893698577,0.40035245360323796,0.5770374779160904,0.5431927236673444,0.5210646694050606,0.6138464246274252,0.7278030965368697,0.6427602270169668,0.7198689029596711,0.7568695376826542,0.8576248600525198,1.0569445869497174,0.7097121715360083,0.7280466312359115,0.5759630942563873,0.5088242733564062,0.5200404480563358,0.5172902774677569,0.6564340443031865,0.6209058044292272,0.7614568009074004,0.7480648656202324,0.6691243761477158,0.6008725595123282,0.5523626539027698,0.5448378759571594,0.4996048553548203,0.4983456954727387,0.6476777235542381,0.6542573735363539,0.6814012742670085,0.6593198514318672,1.1405272283030214,0.9600350271218664,1.0569699797766439,0.7787320820147138,1.813938651548178,1.3906581730156682,1.2073158988526858,1.6777782229225857,1.3356722471099194,1.1823835899832058,1.8039128843868275,1.071761744657952,1.2808619254348423,0.8506093237020261,1.132868676443263,0.955530495539926,0.9227296088541583,0.8212301216362541,0.8019988157649949,1.1453453090952153,0.8240887858081213,0.748244230679295,0.9826542465303696,0.7966137530577637,0.9763924791620954,0.8147261097220283,1.1155465901976094,1.605952733824274,1.0257250439736219,1.1183660328435545,0.7933863718376328,1.3340337696219327,0.7398100895794896,0.8007262710058166,0.7164249141690217,0.709255714372762,0.6280661830264384,0.6162491550872553,1.3672530773641582,0.7217203408258005,0.5097790381962436,0.515150788734507,0.5759699123870453,0.6945375904731242,0.6476567696257441,0.7457810279757923,0.7314256648546522,0.8476483272906957,0.8127625842019965,0.7642730727785882,0.6901957265166891,0.7720628176702158,0.7455235008671705,0.6782328490465661,0.6255217277975794,0.9468844600036485,0.6812627469086571,0.7968232958456246,0.6455474775359961,0.6744289226818777,0.6688150083535076,0.6574627510340276,0.8659772808986013,0.5737754009231962,0.5821857520431293,0.71768190643041,0.5184754847694996,0.4419757752058552,0.3900582875120121,0.407218572368314,0.4085581785809089,0.46591239367553244,0.47698104044135753,0.5602499010633248,0.6873517451516317,0.718915958871272,0.6202191480743344,0.547600402195403,0.5589692106978911,0.43735239053539515,0.3355113859882187,0.3541473885032111,0.41538226759659025,0.43130013277472035,0.4317494385938703,0.509602059264579,0.4491612308584297,0.5142879853980078,0.43099200721218,0.6165592680726174,0.468849881711669,0.4871498556032247,0.5635634504985843,0.42544432475175387,0.4923668857844538,0.48372251854686626,0.7096953167048348,0.7432474409235839,0.6290038131422743,0.5000690100023635,0.47099668972515063,0.4663810732222695,0.43781071705678465,0.4484611946368123,0.45977854839273924,0.4489694451271356,0.5603780781549403,0.5858986712405463,1.0740267918610338,1.7647550951430075,1.1860447077494858,0.763302604838717,0.5690309022353454,0.5753144836161083,0.5096801420378471,0.551623694062691,0.46140001216013016,0.4967112691530672,0.4588476007364226,0.43245521298028994,0.5216488958182071,0.514403134427556,0.4655496962553387,0.5488355012796141,0.682506275321794,0.6259603698871886,0.5092230801123869,0.411458234635415,0.44951734437821406,0.4784211533990792,0.46530329396437775,0.5257523598851894,0.5272210722044093,0.8271222462555382,0.5404762382522755,0.6180440448581651,0.4944741705319028,0.517332646145372,0.5190483735795441,0.4738413594001517,0.47399420087387933,0.5708278208910401,0.6451076234802935,1.0136040819373435,1.3217412518748388,0.70436726564249,1.2988873157899317,1.05147506721813,0.7205781685772414,0.6337736374617263,0.47313052065145816,0.5328029740243786,0.7238164747778872,0.5010936233650359,0.543171148221439,0.5677018437498507,0.6449146302445419,0.723894840280747,0.6141777032406812,0.6756957697710598,0.7789829641892322,0.7738392423512446,0.8500625980136852,0.8096351638480596,0.9766287294933936,0.8749506607194594,0.9258871221752315,1.0661818017249602,1.1044124737900984,1.0506118973014522,1.140366376999117,1.0620871970388266,1.1963424287605768,1.0285835392723481,0.9736392553516872,1.0593529903668817,1.0750058505146147,2.335318995560562,1.2477168053076555,1.5461956272331498,1.1049049454267408,1.0938699246016543,1.032884567484647,0.9766593449402966,0.964672343983535,0.8062198577073039,0.8842583517417031,0.7881967387474289,0.8481869315608824,0.7126699208413034,0.906812061768477,0.7484882516372652,0.8204421349149351,0.8115871593039402,0.6512263614584319,0.6904517535153466,0.7736814380060816,0.9794282379376001,1.1357452827829824,1.3500692802195633,1.2842135983180178,1.1391670924383412,1.146122059375448,1.384045609348445,1.120050858325484,1.0994154509871508,1.347265755853882,1.4096886697809692,1.1684033493716004,1.2571290091123863,1.4421087071524878,1.3518686400708224,1.2433692999821053,1.3180952086940996,1.1697533812371312,1.147953461684317,1.0582755787810603,1.0413153611571704,1.0432785558936337,0.9358515696406432,0.8927526185820714,0.9104290046443969,0.9348713348310584,0.8078329644338693,0.83955593628304,1.057400611429032,0.988614653492743,0.8825192339417213,1.0166146587481664,1.1270746804042142,1.2127914368067116,1.1556419296063818,1.2110711524539433,1.1406537042411733,1.3388218921988468,1.017733708414994,0.899263871490575,0.8783017798869065,1.0017468678627095,1.001786719882066,1.0612523204028328,1.0601637839556337,0.8809469996224901,0.6512331422919442,0.5523436941057586,0.5807170317723794,0.6012759107820421,0.7627133206970036,1.2137150868125932,1.696984388657255,0.7279630366110104,1.2068734337821825,1.3345036098361671,0.9009567397670389,0.9150620223212773,1.5368461880106428,1.541464507497567,1.0061342478806914,1.894339070463082,3.0231449372947785],[1.5107471911990666,0.7136575620915019,0.5613293039256181,0.4062258037421281,0.41756438258361656,0.4146593406912977,0.354798863028524,0.4448372050760748,0.3705160607397333,0.33393272026779425,0.3735972171143355,0.48199182738536306,0.400121991326617,0.4240872135650855,0.5801795180207633,0.5442334137742257,0.5519916544117238,0.6623181824455725,0.8084086415743839,0.7206015177968803,0.8210019049967904,0.8487563580698513,0.9773902947741774,1.1869734398940401,0.8145609492159331,0.8237522797790867,0.6519785949412523,0.5607877598624995,0.5647305797343071,0.531570314218501,0.6903694075941587,0.6164615805156465,0.7571272747691521,0.7583177653159611,0.6806595762608308,0.6379657974734873,0.5568276675860575,0.5804952431081759,0.545066564543179,0.523455843525385,0.7187133656164656,0.7503233076428679,0.7498037116699692,0.7009198460289788,1.3236310471181134,1.1367979693357713,1.3120569223974985,0.8682316887683559,1.6950284975045005,1.2567309230039423,1.2165161928825405,1.5945482218232598,1.296641282731563,1.1739478204695497,1.8531395848122678,1.090847854875573,1.2665791692740014,0.930126494095557,1.1916218443210174,1.0535876866746798,1.0082510401682478,0.8885423657044723,0.8535351541031873,1.2604743628584845,0.9204454132629404,0.8220972912202323,1.0645274132102873,0.8638757636313795,1.0223853229556819,0.8603295858199724,1.1380879548758105,1.6054216699689494,1.0756143280087864,1.2171329858796538,0.867542373777911,1.4120308670177864,0.806708232111889,0.846398339981662,0.765797955940382,0.7579500126759372,0.6691887469970034,0.6595652915183253,1.3564449093489594,0.7019568211296551,0.5302586287961568,0.529691404405853,0.6082604436806849,0.6860341941262271,0.6928158394332589,0.766721498260466,0.7662701969512463,0.8797074365186155,0.8352736402513417,0.7793388829691232,0.706494889622415,0.7709666873905593,0.7168952335154382,0.6540032049590058,0.591312373139547,0.9491928732366647,0.6473531005192631,0.7461679850554678,0.5964791525383881,0.6146394512442926,0.6163700065819274,0.5992893493490536,0.7846381073728601,0.5038603089491002,0.5292464440000909,0.6468305838827364,0.46533689123671657,0.40188390933586166,0.3557265706160581,0.3944225880199714,0.4124194966551992,0.4959082452825644,0.5304163586617607,0.6262399468000107,0.7710193904546389,0.776096864621399,0.6859107588534951,0.5890905882025659,0.5960482023625743,0.4664018990629422,0.35001254305415636,0.37471532781273786,0.3820753763403235,0.3978021724666115,0.3776298185613027,0.4628807818973899,0.40057246091738125,0.4349255893048742,0.37992313132146954,0.5760794431335216,0.4473588463861444,0.47823326114254916,0.5249905431371021,0.422402253836631,0.495770040647095,0.5015892913900647,0.7684082228051343,0.8693773128548038,0.6865541315850503,0.5191087868600942,0.4998183392786018,0.49111896103659536,0.4464092332144213,0.4358799037547911,0.4309747563370355,0.41629915185877786,0.5196480856091042,0.5692145298712536,1.0681173443234708,1.8091471192817195,1.2269034948588984,0.7429701411960336,0.5308275141484964,0.5263974056556617,0.47903441369767874,0.5061932013700624,0.44424190363682753,0.49285271864637786,0.4702601623607791,0.45549037236349216,0.5442251872028425,0.576085614092885,0.5076785359985833,0.5785367272720713,0.6759588456796504,0.6415911889063073,0.49898130636059135,0.4333656718733598,0.44951682236846063,0.4510577493610949,0.4455168363135966,0.49604163504089654,0.5091806318769222,0.7661549705872688,0.5083155869302711,0.6153064312421913,0.47584622906378143,0.46070905476867374,0.46609533856998675,0.4505487711045747,0.4949148595264874,0.6122020530188538,0.6947976528753693,1.101365870834661,1.3408754981533024,0.7662164178751552,1.3172108307060408,1.1189684440593235,0.7513885701264301,0.6352073971305,0.4481741253679164,0.5288890168653155,0.6711905891995905,0.43455224030256423,0.4896303038669746,0.5077203838596358,0.577101893878351,0.6571850927221612,0.5533502517969784,0.622005565414416,0.7222089585576198,0.7232723522177887,0.8166143405080273,0.7640624954280562,0.9248074596886674,0.8329498511093537,0.8786973408935652,1.0176010891134712,1.067088792983412,1.009838994875817,1.0993168033202465,1.0234427097114052,1.1681363840411385,1.0008662863988254,0.9286920453127888,1.015730312701354,1.0263227943505506,2.25871974670535,1.2030675401488564,1.5094600218970542,1.0450090588786467,1.0270469718268793,0.9687376462104808,0.9016608796940041,0.9038074859731662,0.7387866495951578,0.8023598905664746,0.7131888205102387,0.7865870903871057,0.6330444400574918,0.8162869589834426,0.6946527974538066,0.7944191359708095,0.7813050276348221,0.5871924068740063,0.6229523791891335,0.7115292728579029,0.9201370828921146,1.0915052308596591,1.3101637784615723,1.2565859390899652,1.0981333945738445,1.096488038293695,1.3530553628132984,1.078354803871012,1.0448371192123775,1.3022069662726972,1.3715564089613197,1.1222830955474052,1.2054689084814254,1.4020832062605024,1.3195393874677275,1.1976182449241246,1.2699920309214356,1.1160744660217206,1.0883418714618551,0.9968162709034017,0.9773424176940652,0.9856828938620411,0.8813875394839896,0.837446195344669,0.8584127060566201,0.8909395836663356,0.7676170689554107,0.8027838284040832,1.0376407534235326,0.9657541846176129,0.8516983396444647,1.001017502966505,1.138733130566811,1.2094132428809563,1.1458286818645165,1.2202443459257473,1.1471346750738851,1.3268639300252159,1.0042662805495337,0.8737338517548153,0.8443127763677543,0.9815315886104523,0.9899786918978394,1.0751491505442234,1.070254969205732,0.8571381265245145,0.6293583120209533,0.5144760639032334,0.5431867501438377,0.5537063367239087,0.6993786366035082,1.157273405156462,1.6934824567599875,0.6850344498327229,1.1766277469904523,1.3429979092005342,0.8913049489569713,0.8890043248829674,1.5212322879444071,1.5258545313342937,0.9523074031498867,1.8415639915854418,2.8825335535091985],[1.5505498886071731,0.7702951401070854,0.5874957061598614,0.4514173420757204,0.46529038295495306,0.44283800356020775,0.3590243103318054,0.4636571026585505,0.37377379352207074,0.3040473818764981,0.32413928469506786,0.4230897932226199,0.32872446663217325,0.34887633183473166,0.5049025942667931,0.46403007971816057,0.4651003924713942,0.5835683079942121,0.7253564546000307,0.6261498862897844,0.729871868968397,0.7683560269158956,0.8876131453398002,1.0907985106723401,0.7455142232085528,0.7525888047254803,0.582002734802982,0.48956044717659913,0.4774080811573233,0.44822887880591405,0.5989474927524928,0.5392395400059699,0.6737896561940419,0.6680237388864345,0.5863447629062357,0.544427324538473,0.4666427544775288,0.4860132378965382,0.45983183305439473,0.43720109129488327,0.6525559172903207,0.6642122444045716,0.6590059878972876,0.6278152197982372,1.2464628811652423,1.0882711376661682,1.2242401642670326,0.7637826305043521,1.6711495957527658,1.2892700024899868,1.0999214431888311,1.5922906678119197,1.270845306445052,1.1452371505000292,1.7565778088407826,0.997178274433219,1.220387811859935,0.8289623521953182,1.1094295732858401,1.019869133633566,0.9551235272879778,0.7948928156512534,0.7522197702521621,1.1595082107796124,0.8393781996558145,0.7344544753041028,0.9573346266032098,0.7665914760365069,0.9654624316509015,0.7936562914318933,1.0664430938800125,1.4976134404382115,1.0058385845725883,1.150496549757521,0.7717692943145147,1.3121207743865144,0.7007877273743067,0.738205691329429,0.6508911891491059,0.6411443290634087,0.5636009909678198,0.5571270575168259,1.322598482627946,0.6133644469245964,0.46560076694966906,0.44401408408175835,0.5182052303268608,0.5983279488882928,0.5829052870665239,0.6740958499494419,0.6684764458461183,0.7894241913670469,0.7515885149254924,0.6976831223524534,0.6237903234182902,0.6998972791575094,0.6698524065397676,0.5894461591416844,0.5282355717122929,0.8783025308817523,0.5733442086784452,0.7066911221513987,0.5269207837493487,0.579291083131618,0.5665780724688613,0.5912101699854571,0.7877451790624591,0.5250636824684081,0.559934715432658,0.652256598792952,0.4870045127711741,0.4034622323902282,0.34213137327356163,0.3847415439094543,0.3724796403195431,0.4578843313439956,0.4757717436721462,0.5665731014757656,0.6926109865567587,0.7061877870419072,0.6212380711265227,0.5299809341270426,0.5505801171478664,0.4209002929216572,0.3150080827752944,0.35660374087693464,0.4011669998077206,0.41654571825432224,0.39895890661025796,0.4708183766064359,0.44718407545168126,0.47795084419606976,0.40864291572100137,0.5481757421886153,0.457943541957948,0.49541086226971986,0.5391941631995354,0.4177271097487449,0.48242855462455536,0.47269732975019985,0.7373154239994694,0.825726505730279,0.6502017047559634,0.4882055414010292,0.4441981006317245,0.42445371347298255,0.3952709090398122,0.3904107114298425,0.39087853964138297,0.39480240008621487,0.5232136939369006,0.5723903532572067,1.0905363305250446,1.7805172397062026,1.2054094501190418,0.7058816181766155,0.47889259553575414,0.49121046643510025,0.4235542444327046,0.49259222571106814,0.4112958940434498,0.4354981261436688,0.4275998792989593,0.3894139474618878,0.49788641096370717,0.5270031775235948,0.4887450766734761,0.5831401013343134,0.7093511463142159,0.6575757141944198,0.5123303162308734,0.4143078542103548,0.4128665907153636,0.40681194016091765,0.3841576681864541,0.4373719916672579,0.44646662139962395,0.7365517257017804,0.446644807897892,0.5093350253906653,0.437347602210979,0.4371365455628711,0.4360505909447555,0.4084467630719684,0.4491351825095377,0.5509629345182642,0.6560487146560366,1.0606876815914705,1.3563916329474555,0.7500839295413418,1.256915116411397,1.099864451649693,0.7616112347825053,0.6512773386960763,0.46418904815499773,0.5592915556240001,0.6568796340614026,0.4958464978153397,0.5498278384100985,0.5447081228373766,0.6049895939948194,0.6597180549622548,0.5823770061531521,0.6692724317042621,0.734699519629185,0.7275697159030299,0.84215245512762,0.7972807013056276,0.9216215428985124,0.8476731488541672,0.9065332772955673,1.0343425923144418,1.0725572860723718,1.0334605016512741,1.1298414178663763,1.0679888651414737,1.199625592227236,1.0678608278758839,0.9759136744096278,1.0569981532118398,1.0736898674414754,2.1534857935339042,1.2344462966960836,1.5404143615158503,1.0213239895867352,0.9834904435718428,0.9440680260473923,0.8680530163548345,0.9240132358325148,0.7520377753313683,0.7930134253911242,0.718045129363869,0.8190804185014875,0.6641851956088936,0.8046804268412034,0.7647070413573828,0.864785514632348,0.8274725467830476,0.6384168131791242,0.6323599897117523,0.6901346058708723,0.89393762046059,1.0429468429140483,1.26066012615368,1.1970135563655195,1.0517676275903527,1.049511091073615,1.28176298487704,1.032616916972925,1.0196924856989151,1.252195386087891,1.3318979493942693,1.101469715468846,1.1614196140666406,1.3476019504090253,1.2907338965878148,1.1656198758922622,1.2322050722179105,1.0917106462462292,1.0528260192208043,0.9636186341724006,0.9417402270492654,0.9793040155240333,0.8913238369922376,0.851866813557283,0.895519147823892,0.9396910273052511,0.8236277803307794,0.8646901277890342,1.1337867527910317,1.044041799415309,0.9184708842406726,1.0834893360726392,1.2092504116652194,1.279519978339012,1.227123401158342,1.305468451933895,1.213565698168629,1.431110148868788,1.082092286189026,0.9444903493385478,0.904976058803051,1.0527326918170925,1.0568170287844998,1.1484342029903982,1.1400743064511987,0.9220777549651766,0.6790581896942935,0.5587376266177843,0.5877861145978756,0.5825276981358084,0.7375473899803799,1.171005231366559,1.6926175015149723,0.7115527708729648,1.1680683241029308,1.3172523493947794,0.8867491839012749,0.8888690490846741,1.4843466761287003,1.5274560228312521,0.980613409033698,1.9553119668693826,2.999693875137866],[1.5916943259385796,0.8331008739358969,0.6374560060219707,0.47657158095924723,0.5059134193326025,0.4872806158720672,0.3979687506732161,0.4948479589639482,0.39456471589683617,0.34174607890186687,0.37871714119861155,0.47552306139296774,0.3886322299070911,0.4133298510307714,0.5780079391063533,0.5255382666526959,0.5107890449766019,0.6358994088560449,0.7656463108024798,0.6625895518067395,0.7746392864858016,0.807629985500349,0.915119075603529,1.1275466959938885,0.7796303891158118,0.7889503340328787,0.6114154372481094,0.5256714872408336,0.5130424868656832,0.5066188351280437,0.6505249251434484,0.5849109824728707,0.6984929523964851,0.7042855931677456,0.6253425719239979,0.5857668006845969,0.5184009383844786,0.5156996839558623,0.49167002102376556,0.4611432842528997,0.6937938949333884,0.6996629273302755,0.6764656274367564,0.6577084856241162,1.2074040658032485,1.0776952842851046,1.168574116185998,0.7399198190710129,1.7285230249713923,1.3865300050945881,1.0331937100919075,1.6087105098324554,1.2362100497359518,1.1071403829550481,1.7172325614912018,0.9972636805527082,1.2018510050185283,0.8131067742458716,1.1454611527865572,1.0194594987760084,0.9782925383826868,0.834208485342475,0.7812100516716208,1.1805825238925631,0.8618475389335393,0.7712724527611069,0.9482560769974315,0.7969470546765963,1.0210052400501968,0.8498470197809793,1.1203192629491177,1.5675769894748652,1.0591524197521167,1.1917288770726466,0.8187210700458408,1.310481987980461,0.728910639557233,0.7582746594037393,0.6818261117009989,0.6591787676589871,0.5882260507605899,0.5810917020052534,1.3275237397052337,0.6267233065341437,0.5140886830031245,0.4817778472926253,0.5333961233472334,0.6280577058873489,0.6147244973420734,0.7312486167157577,0.7008323065077751,0.8380352350567222,0.7949623101298776,0.7412627645668606,0.6812524714423059,0.7609928033107763,0.7316182620343251,0.626868222835812,0.5665402187461431,0.8712652849978243,0.6050001829028894,0.7643984423514262,0.5621308783958991,0.623330471295084,0.6098733774599187,0.6289665765925913,0.8452089486952676,0.59754794324408,0.6192236967646237,0.7075048321696685,0.5539461059405053,0.4528558597764927,0.3924832610087291,0.3963304120893995,0.38890246155564734,0.44727072698886106,0.4974925892822506,0.5717271308249691,0.7350834385599558,0.7260023133644925,0.6472811716510813,0.5386523504864043,0.5592808827377527,0.42236897035220233,0.3510924733020625,0.39008659132720913,0.4315118174445149,0.4642307034610609,0.4455388978450311,0.5144551754606969,0.49179778228128657,0.5423951514433238,0.4689078984984006,0.5791300972310643,0.5185718799032455,0.5754733144850628,0.5977461915051766,0.430158006790354,0.47456476205146636,0.46629179944230975,0.7179071063446795,0.7761506693186028,0.6350871590499944,0.4935759418519649,0.4659520179120063,0.4632264160469925,0.4185263962368047,0.4305508821355638,0.4118137242632909,0.44009097582533163,0.591291760245029,0.5990749084808262,1.104906585821758,1.7019663689198274,1.1790504448907444,0.7344935243973041,0.526720410447774,0.5466214162243637,0.47894331711145477,0.5477584796859588,0.40816738439578343,0.4668413266398944,0.4492892084930514,0.4179859355950483,0.5306202962587266,0.5369393981505534,0.5223964615014667,0.660657316711098,0.8173894699754825,0.7343310502982933,0.5803273661922819,0.45340335627855977,0.46943167458258883,0.4539962447599667,0.4111960431061924,0.460528315023444,0.505460209900683,0.7918946472957713,0.49040783917465836,0.5479920531151143,0.46118059778400744,0.471164979353827,0.4759269168913121,0.452463014094958,0.4555149198042016,0.5448194994102166,0.6630473750795004,1.019236691646581,1.4129794395203474,0.7951853576301999,1.179218080950366,1.1356718083894635,0.8250096080491225,0.7247342794394438,0.5408009713439353,0.6570183267634582,0.7131708570358808,0.5565663073862416,0.6128630397249512,0.6039279275436168,0.6797006085326797,0.7425704297460575,0.6491004429134746,0.7308779916960089,0.8135770284009181,0.7965936801371886,0.8677694555663498,0.86083970768896,0.9890020734787474,0.9008848218190314,0.9640606029621704,1.0997939561490633,1.1268351920691078,1.0691801147764957,1.187874968899118,1.1300565564153382,1.2796716257379694,1.1322042676488295,1.046298817832392,1.1290813537677375,1.1544376403249788,2.1378841230245325,1.312324313132766,1.6102037988544695,1.087482703103026,1.0636388459450388,1.0363891919839519,0.9449224110752961,1.0303019962106783,0.8482362059981112,0.8855905981360566,0.8022458719508014,0.8999339197222558,0.7505721552574767,0.8693846179636125,0.8348737428984504,0.9237807893701478,0.8730948663569238,0.7011021599429713,0.6910280528093493,0.7571682834905956,0.958521479877366,1.0872709732187993,1.3300839785402738,1.2323911307170017,1.090167567813931,1.113672321539869,1.3191679662657714,1.0812192069369473,1.0816567662962888,1.311528536364464,1.3945098870626307,1.1792384178494493,1.2254860545644197,1.4007061631685702,1.3526884735372844,1.227759374537057,1.3059570519100252,1.1687721202028098,1.1345348643556723,1.0396734345243126,1.0228085729606038,1.0765970842252979,0.9738609929439515,0.9430051086510128,0.9821332803303601,1.0120251319311377,0.8884018200232863,0.9455567408830005,1.2183149679079799,1.0856773933856194,0.9727108145214586,1.1268334097707122,1.2600690076539973,1.302811039609951,1.2577841894241375,1.3485605891324493,1.257176856013067,1.4949786087768127,1.1217859194173259,0.9966335265979163,0.9612276832751419,1.0858288015837632,1.0730492511220397,1.1612533899528759,1.1348779530200614,0.9567517603205996,0.6877522442719239,0.600828721065542,0.6176419423907691,0.6649514089004391,0.8226505110547938,1.2615064003192116,1.6592813234836388,0.7864801482966991,1.2382127786157875,1.340509376196046,0.9176316022095753,0.9471342351046541,1.5070270227953002,1.5828370102941094,1.1015521780192388,2.1608955698189907,3.2969963627914862],[1.3692751351393377,0.607738854034142,0.4848324650527267,0.4422009488084171,0.49737307409711523,0.46454752491962825,0.400257013299422,0.42806084558076707,0.38714936659378196,0.3936536019023224,0.41735201739159655,0.4870765361540308,0.4275737894839878,0.45711067882416473,0.5508725129270022,0.5168643899185195,0.5583093687905567,0.6381790212219707,0.7853680957000571,0.6762201360246956,0.7830510733540782,0.8443995470889601,0.9425255827298606,1.1924955747570518,0.8487964361862067,0.8499980049445236,0.665551896856359,0.5696449779570049,0.5483145404475099,0.5034762951091154,0.6101424449949908,0.5417231405019363,0.6451234230737838,0.6437278233197712,0.5722646893536077,0.5600751619361601,0.505281342117606,0.5731124147424814,0.5687448370037189,0.5480475052032391,0.7463415341514028,0.7544658828011342,0.7299701691793423,0.7170972247194873,1.283058639404203,1.168373896633295,1.2964389893261168,0.8057653491324562,1.6044739337862766,1.317388636303657,1.0281619026385647,1.5234612567186554,1.2418581488860774,1.1602144477432723,1.7459643691688507,0.9662938405268242,1.133262011266016,0.8418618653313286,1.1355367316147453,1.1095174866564634,0.9812678173968823,0.8022639018243395,0.7455650446690042,1.1547924432527754,0.8669971365297463,0.7510591925250324,0.905169231049362,0.775027976144472,0.9930223208164002,0.822469051113581,1.046762456898943,1.4557288509635382,1.0021117088834843,1.1712572553176082,0.80039610910413,1.2704980632820142,0.7203124692543417,0.7207430575655505,0.6503934734186008,0.6429382662574163,0.61130306614134,0.6339062195820302,1.2906714358063853,0.577853613674142,0.632315992334437,0.5474267098846358,0.571260310206686,0.5959890846299167,0.5973281770953253,0.6505282182051965,0.6829886451740388,0.776814838530089,0.751174813619166,0.6636523717244535,0.614494746625565,0.6782300828918886,0.6575046080005427,0.6100249687781704,0.5726914667866643,0.9010657025534402,0.5884873269369035,0.7093822958491274,0.535166112241424,0.600656674383844,0.5864386274827521,0.5800442678080989,0.77016004043122,0.5034212217771407,0.538920683160587,0.6604535655913154,0.47667895203583616,0.4123378431858438,0.40414241534851075,0.43819510923211596,0.46132697332633826,0.5057508435134335,0.5464692417657642,0.6442705661009401,0.7796670367254528,0.7342294511639128,0.6891293794297911,0.5987870546560982,0.6268917280719792,0.5019258605400794,0.43972988131943963,0.47190306606702165,0.429697801721797,0.47744520982161104,0.41232959267362607,0.4480689786535997,0.4655003240220085,0.47811816686292985,0.4348068242505943,0.5402803526017885,0.47966787680469913,0.5484067139854171,0.6111617993019474,0.48218893910378285,0.5440978985962417,0.5495448741054123,0.8026698272987565,0.8746751814080456,0.7163250833731963,0.5742436195097755,0.5456297649213285,0.5194948328740143,0.48325836024607843,0.4718657276732389,0.4296126704783056,0.4416999194502057,0.4925217037600395,0.5691543174243293,1.0767169188462016,1.7597951004993535,1.2681532840350265,0.694791856383011,0.4949413475242873,0.5060990076930778,0.4520558915844719,0.48150870243783483,0.4326776576727572,0.47370589763590576,0.48777361117138185,0.49435535492983035,0.5180865032713268,0.6516244005070209,0.5848996281306139,0.7682326403045516,0.8455689199947298,0.7833605246548011,0.6004731367818144,0.4916639814361752,0.46588405706216424,0.46376710688924555,0.4323440593108088,0.4713249534460929,0.47982569110810147,0.7471337967557405,0.47072959475549225,0.5267621407045018,0.48574016071530973,0.4600523483561668,0.46168832397789406,0.4948035579585796,0.5384732275681074,0.6981592705142262,0.8237965114735586,1.1685233952460827,1.5827761840182224,0.9822648549688088,1.2085287282468746,1.2690900628451587,0.872158514352127,0.7527941715148874,0.567375675764033,0.7327809705424189,0.7414973717625392,0.5247870511227217,0.5759212268965792,0.5428339777195037,0.602314936247052,0.652304324491525,0.5792376994583165,0.6659056731432501,0.7184012673037423,0.7145865134247579,0.8271381922010957,0.7637632832978245,0.8821282956246242,0.8144824256364792,0.8543920798727803,0.9759786728076525,1.0327043689737148,0.9567719698667547,1.0714233429024784,1.020763965166599,1.1351229091955328,1.0327093667171543,0.9616388832952355,1.0201115419230948,1.0525681472681212,2.033651847493457,1.1635483473236043,1.4212225679253765,0.9309352328814277,0.913218936323238,0.9066062905782598,0.8309840635584962,0.9393729602913803,0.7421525417193939,0.7519399623363164,0.7228821270817469,0.8226633240377698,0.6642450521440133,0.8098175201103611,0.8509148466856687,0.915530045658275,0.9345763839001593,0.6810434597331771,0.6339748459316594,0.6671557684537032,0.8261392287316444,0.9918587955534653,1.2108097064935985,1.1831027397324634,1.019311709560736,0.9765564807414968,1.1588117864235423,1.0010183157547843,0.969054215573684,1.190675571079324,1.2954936246436257,1.0539506202358866,1.0946794389421077,1.2876045055821836,1.286568015562157,1.1192601069529675,1.1849338192806493,1.0308026963699382,0.9926390037757498,0.9046029046927535,0.8824852841328988,0.9316916372835581,0.8463623987357634,0.8139912054959094,0.8581599826257679,0.9002129184262718,0.8121039413959387,0.8615568370817128,1.124860092424892,1.018906950190112,0.9825231360344983,1.1222256296309046,1.2722906459899317,1.2898345512071285,1.2301894840354988,1.3301067240262499,1.233238193478336,1.343894319988902,1.0471649603760274,0.9222725406489272,0.884907792504576,1.0213861554312758,1.0512524118199327,1.1740375480633711,1.1445861724259616,0.9666685075811821,0.6713892890388004,0.5622092570878802,0.5397319482662324,0.550123460507501,0.6596490081376905,1.0364034931833621,1.5981495572384872,0.6524587763307469,1.0316698421950024,1.1954354437521286,0.8092444646367195,0.7844861525044862,1.2814247649516395,1.410597534493844,1.0406425827888954,2.096409402323949,3.03858517721436],[1.3239539624630514,0.5862711686774912,0.4975070955485736,0.4567840574204403,0.5098238246800475,0.4687977439146271,0.42932748834294165,0.4931465164991944,0.44112696488481806,0.47257721981240164,0.5139271904718897,0.5686564674183562,0.5053075206089201,0.5341876633717126,0.5970493443070032,0.5642313624288285,0.5639817682920277,0.6649124303607438,0.7839786829087877,0.6980104256587517,0.7737135227205212,0.8363837768271446,0.9541912278987643,1.1641111367898798,0.8400092267077346,0.839464239228133,0.681796363538371,0.5890745122567199,0.5741715127520484,0.5544692806075973,0.6464892216002579,0.6158906384090065,0.6856293906966681,0.6763869302848962,0.6095592577408119,0.6010334691055415,0.568218468153728,0.5962231133233437,0.5953737310969691,0.5868433295092821,0.7472672400688953,0.75705339893217,0.7430926543039474,0.7162082379746644,1.2117341644520057,1.1309376198021999,1.2185107653250147,0.7386633312175301,1.5879242116972239,1.396211817749636,0.9960859441309207,1.5465965750754578,1.237433810385552,1.1891183046870037,1.7176473483984274,0.9470688855773514,1.1346718886872726,0.8347919678901954,1.1384924112842987,1.143453864362286,1.0153641325522624,0.8340263158471857,0.7778133826168837,1.1332663214740695,0.8610957530961554,0.7635738600531449,0.8871522126432303,0.7891332595243579,1.025058863107793,0.8336689030406327,1.0556109907011337,1.419059551572145,1.0112376744895788,1.1665193115210348,0.813440060479525,1.2516725766963566,0.7251854403878369,0.7159259958746121,0.6613187289676653,0.6451448503189882,0.6179304636074284,0.6602022980446259,1.2835565925034926,0.5943576668011045,0.6524085122668289,0.5860742420336523,0.5985055388773616,0.6446017873183928,0.6249143912191194,0.6695506003695091,0.6936261721245232,0.785378568554993,0.7575565761850681,0.6962217307248979,0.6604310118235165,0.7166629404236088,0.6867562228955794,0.6659355938951758,0.6392264866034697,0.8938040258182836,0.6588457626896038,0.8019618207644692,0.6093560774569511,0.6675785336238348,0.6560623842172163,0.6324606551769604,0.8472744106475917,0.5390901575596321,0.5601906440051175,0.734099597749082,0.5004973646451585,0.46733247742619305,0.4628722160093363,0.492185109661382,0.5047536935505035,0.5388685635101508,0.5598097248572654,0.6241943386677606,0.7687457889206953,0.7038983509779483,0.6701626436220751,0.5999377621051536,0.6064811078535225,0.5329729185892025,0.4889217886186013,0.504925272941235,0.4599152887548306,0.4855526094448783,0.4549338294951144,0.4831898807855814,0.4790792713794974,0.5331365255062984,0.46144820459441527,0.5656977443803045,0.47033159290565685,0.5304798899820261,0.5938321097266641,0.49391549068176305,0.5463947763515642,0.537970097159303,0.7753296077295212,0.8251408599251412,0.6829067440014475,0.57385588308061,0.5686645990622202,0.5495014163459563,0.5175038049688038,0.5086659509267752,0.4839929981106732,0.5091755459088814,0.5585320590843448,0.605654680750934,1.057343678174329,1.6545275934584684,1.2264698778928118,0.7154169660636279,0.5933771086316949,0.5787262948205987,0.5259312483498136,0.5452884289698154,0.4921564577967006,0.516640943778691,0.4929786158968224,0.5100409736382617,0.523765588914633,0.6513893422341825,0.5671620073137544,0.7468101503582802,0.8222295196568605,0.7519632292806905,0.5784914803013946,0.48488060946521605,0.46131393159774003,0.47795018728142646,0.4906290326934368,0.5517467576221308,0.5667574570515537,0.8331150748737465,0.5479786892539337,0.615633764704156,0.5160979650494243,0.5146921219521257,0.5076167980741273,0.5064230380753552,0.5337410141781824,0.7210130679078843,0.861214520737986,1.1781289339883863,1.6336963232617197,1.023608032408766,1.1912811929409586,1.2434319534181983,0.8322234477241888,0.728185790456043,0.5982730945734367,0.7887606402392794,0.7545801153109815,0.5615235047821863,0.6201295755428865,0.5740672422761299,0.6409315533740354,0.685051274581782,0.6179633933474352,0.6983856714094402,0.7463613415299588,0.7434595356174009,0.8502940123608045,0.7928207746299003,0.8896829881276287,0.8230731437060342,0.8529565886030813,0.9804162589672485,1.042580128615177,0.9474669641462798,1.0657025048403193,1.0312027298830064,1.1589290988259793,1.0644657888299653,0.9784554986939275,1.04073031319648,1.073720255270762,1.941956624436998,1.1967058546479294,1.4107992490600887,0.9541107226189487,0.9357248356375681,0.9316163869751475,0.8760772448593578,1.015608325415947,0.7799775889186398,0.7690637199893284,0.7598680416113222,0.8486525585769783,0.7004558203439829,0.8155300269615692,0.914251318843012,0.9552045638294339,0.9736397263233947,0.7169201563888568,0.6857212973406046,0.6782906031216687,0.8096980391665243,0.9660988975045032,1.2039460861575169,1.1438777299339973,1.007781644306876,0.9708535062883416,1.123803872117918,1.0093018947831254,0.9587264915924902,1.1630550696665467,1.2770323789963813,1.0507739242995742,1.0881607906890125,1.276685668710377,1.288413552902457,1.110185152044378,1.1740553573392407,1.0288524372838594,0.9905265029873723,0.9018101812302303,0.881335286668453,0.9481207247881762,0.8675442670702015,0.8402893663255555,0.9013973555624625,0.9341594644059483,0.8415786771203265,0.9060132653962844,1.1838195567341137,1.0553312373892574,1.0132430335781075,1.1688287151180798,1.2979438793202647,1.3231631863221267,1.2776265250727947,1.357252099997147,1.2299483289116704,1.4082832506727527,1.0568245141989314,0.9313122995756056,0.9064749546218628,1.0065935378454258,1.0465314177295955,1.1679745134921682,1.1418985120472123,0.9868333267024998,0.6764176074637865,0.5817999037583939,0.5540496109766069,0.5781461796608012,0.6430286633134399,0.9549302860094813,1.5217435290574264,0.6169296692030609,0.9174364448663169,1.0182584028422466,0.7667680090824045,0.7082892168045214,1.089849964043185,1.3029952868945585,1.2390927192574377,2.372493755151497,3.2689244406747657],[1.333232221657675,0.7857394202616713,0.7825873524063605,0.8031407809358292,0.8301770234045065,0.8580987515193066,0.8647772782807857,0.844185366802498,0.8602448584451425,0.9386588094769072,0.9645282030123564,0.9763211999930875,0.9494123628374161,0.9747546862171375,1.0220983495154077,1.0162191747008031,1.0212268778082827,1.0399925273345818,1.0923842003767488,1.0605206696637395,1.1196695238775651,1.1185653528544262,1.2359697980597781,1.3485081245318369,1.1608175442673476,1.1402785234004584,1.083998311949971,1.0453093320502986,1.0449464171434681,1.0099201502020754,1.0470109407313697,1.0079087210478397,1.0788280868888938,1.0792284882252945,1.0171130690540386,1.0164834322030978,0.9954121840753503,1.0060270615225138,1.0202856369476325,1.0000555718597222,1.078709357787707,1.0751415929027048,1.0472324365564072,1.0738303530654996,1.5876766555281594,1.5603355114121715,1.6867785953018308,1.183709463270932,1.7052104613476868,1.623734384079233,1.2288329731901781,1.8689974969311085,1.537612091257256,1.522111262573998,1.6918880416107545,1.1512021468368634,1.4318216035428002,1.196641397445412,1.4028857601723363,1.418721829813129,1.3359799272829955,1.1425135355983291,1.0939854037696222,1.3095733519519839,1.1790938988073654,1.117668699523602,1.1590194323737215,1.1179903579709074,1.2705621131296796,1.1598374375932734,1.2625250553249006,1.4973466901262606,1.2569166433423689,1.3466051497817664,1.1563598368122212,1.4969211880817757,1.0999003603950144,1.0977217764068676,1.0704624318989577,1.0529139494368192,1.0344114530106432,1.0152297370267054,1.585752868651278,0.9973617989750456,1.0203153176107622,0.9875618880888761,0.9987740319686149,1.0835217532465862,1.0407176563355174,1.0635260137814055,1.0799855373538056,1.1220463705670747,1.1411694417114322,1.0773640010428682,1.0557473389561354,1.0882237030234807,1.0863657533471576,1.0380665949735606,1.0089906711995138,1.1533121791483383,1.0106772268091613,1.0725807036753243,0.9660271880001354,0.9663640300363414,0.9327334940288337,0.9672422979016992,1.0548357771509218,0.8768907994714307,0.8639969225107899,1.0110790936963823,0.8606760835008345,0.9139858487908503,0.8900530103923965,0.9464317196100391,0.9830367623561951,0.9800655139805363,1.0387480548763912,1.0826094312995793,1.2106827642745404,1.1384426112971517,1.1115510170059613,1.059116751690955,1.0528086864942494,0.9369703558095932,0.9114095855073078,0.90470207837717,0.8636323824509925,0.8989572211207858,0.856623669283805,0.917128459682147,0.8525519235274818,0.8676327018060238,0.8855437279147804,0.9616292605437898,0.9111878464204377,0.9943281235402162,0.9420034458550323,0.9195886047510069,0.9972621888174777,1.0005803470312586,1.1739827731220438,1.2392374571890932,1.124186170851287,1.0341778357131064,1.0449539476105305,1.030222068574647,0.999920263257624,0.9882539630896726,0.941629931797301,0.9387420439003256,0.9378481973368135,0.9690666413728167,1.2805710132380648,1.8194148523314804,1.4597058186117748,1.0010764381871384,0.9477381408980283,0.9415650991616745,0.946540893856035,0.951930887311668,0.9288478830447922,1.0082194146820918,0.9864290870002468,0.992748689877565,1.000348088748535,1.0025702725359453,0.9944912184983523,1.0989417483427542,1.100481874963703,1.068883509166459,0.9692993357645215,0.9470508373003228,0.9491339218229652,0.9477676210991819,0.9397975864252026,0.9398472932408951,0.9896411972101408,1.1294944249662837,0.9543028638685371,0.9965858475656612,0.9354174187684459,0.9289424714466163,0.9146062872236395,0.9293672043341609,0.9339963566549125,0.9957326848917714,1.0665916249814038,1.335858826093042,1.758002491998102,1.2474909058744474,1.4385844192726467,1.5167817554917533,1.2246135420351114,1.1326420517594091,0.9929308681859691,1.0895853395769228,1.0083969803725958,0.8419401176219217,0.8368469367056492,0.8398904506016247,0.8299152655968175,0.867208294561536,0.8247718323877098,0.8456404165180428,0.8669838502358067,0.8890830240433161,0.941243343283415,0.8831890351694286,0.9488917507594944,0.9239553725490983,0.9157398165596454,0.9947786103907279,1.0849034507946806,1.0114187426051995,1.0617418738071842,1.038351234968343,1.1126153600027608,1.0717939300113135,0.9973509097939381,1.0259655985452676,1.0807766121282472,1.8333762611711633,1.1917973945380664,1.4559017790075786,0.9649136209104194,0.9517345994237908,1.0298444545254875,0.9657649365395055,1.0470715642832613,0.8680003743492662,0.9179650424717652,0.9265820113553943,0.9769500881761659,0.8764450265901815,0.9638931207188653,1.0530338607304521,1.0662618217157964,1.1270821818538475,0.8649621366883591,0.8697073961085583,0.8854060576871768,0.9718067848886381,1.1278093936359856,1.2616878914005458,1.2575112893509206,1.1417163564233355,1.0766888055103898,1.2260755672893127,1.1395485854846896,1.0599757976740711,1.2254825720557987,1.3376642408050985,1.1369343870917785,1.1132102991533896,1.303643848339855,1.3379815041419778,1.1106548766153366,1.1581243150730782,1.0271304153041907,1.012934758301479,0.9477356843741975,0.9163292318544176,0.940082004827741,0.8932697599913009,0.8957289405059562,0.9072612552405733,0.9405348261264883,0.9212829911170278,0.9791395289994231,1.2307487609412395,1.118949316164859,1.11341980547094,1.2333204554627415,1.3384154440781182,1.3291012600081762,1.2688869928115398,1.3898193080152936,1.2767808208138847,1.4149952064036213,1.1009026224238951,0.9873836221606557,0.9408258942883548,1.0677834948451819,1.1132234007652375,1.2497762529788312,1.254331293319376,1.0798388208229575,0.8811461907359633,0.842622701056583,0.8614676408631902,0.8399487752205869,0.9393442951375377,1.187623256091385,1.6224685442360214,0.9576795045801382,1.2312938756255685,1.44706739444401,1.1532287160541088,0.9731743281301397,1.3958450157066884,1.5397547790964756,1.0785812946014046,1.9475049184293416,2.7170362481946633],[1.1728005689315335,0.5879733073004162,0.5253011247033608,0.44979622024347615,0.4981764297792631,0.4400261843303751,0.33998352035561885,0.39165155749846725,0.3735610296469186,0.3933630303376464,0.44777802349731166,0.4806379486614495,0.42534476494378576,0.4938750904949017,0.5827775548418036,0.533290158545063,0.548863374550553,0.6291975347647969,0.715318707082767,0.6596502138679162,0.7378651267984508,0.8144398361992354,0.9216880172218043,1.0786745534325624,0.8315392389462396,0.8019546195131423,0.6593163063706197,0.5686005412823251,0.5450842448835703,0.5154686904602765,0.6448233381440756,0.5377399537692208,0.6594204400251895,0.6512765590895786,0.5709658569301234,0.5803589183356349,0.4812195559099643,0.5249933345345262,0.5207225805446793,0.5028760266891994,0.7074027017398614,0.6968161662217393,0.6952206796988113,0.6972577487475093,1.1937593203163481,1.2076564170147395,1.282224624903238,0.7934190128586609,1.5783062307084053,1.4741525074766928,1.012400657640052,1.6365238150967938,1.3432038267074657,1.3277320606094907,1.6389396373104634,0.9063406527719291,1.136453954016215,0.843299967352486,1.080474770549523,1.1350331706315977,0.9551466744226478,0.792035344956835,0.7140142086566628,1.0536063686951695,0.824320468502479,0.7301983307011415,0.861756916910543,0.7351068605960953,0.9630409022808168,0.8074104051562878,1.0123751705726904,1.3045381548026427,1.0005320877162724,1.1438255504978463,0.7671203559778723,1.1447073790199822,0.6945629117814668,0.6964447840853106,0.6396291713293839,0.5906557232658903,0.5462593123542775,0.5689400121252043,1.2244120290617826,0.48549273127673614,0.5607664877765454,0.4877332694272689,0.546234048045173,0.5746784614907248,0.6077664133771742,0.6589957061028077,0.6658801780558801,0.8210302231249381,0.777940632565308,0.7103132357938436,0.6535996997337897,0.7444657077712685,0.7104183523884349,0.6059398221813377,0.5496424095584673,0.7732161350859824,0.5391430796491541,0.6588713140627354,0.4648992987705712,0.5537576636479783,0.5491524495454663,0.5407163778592052,0.7125422151643813,0.49474971782841803,0.5186677982751358,0.660955057154404,0.44091427885700646,0.37619503758471534,0.34616066022053815,0.3983544958549018,0.44042248266205186,0.4938178466760434,0.5821195710283646,0.6300460680126752,0.7944937284694974,0.7499125782722474,0.7131301312679486,0.630846485646082,0.6202230139373383,0.4635883827620719,0.404566442819112,0.4114466703102909,0.38543321534054314,0.4278159924332945,0.3965134566001458,0.4141426309959196,0.4617843021193941,0.49372904004436463,0.46091521057517243,0.45050731666494714,0.45659318029064755,0.5301809817306565,0.585034277655195,0.455930315936869,0.4995512441010659,0.5140862752454225,0.7718740781243641,0.831042890849963,0.696851195541377,0.5666328691855427,0.5424069139221642,0.5056967907588149,0.46753489045912744,0.4582067403808128,0.40535149528547615,0.45005509986584835,0.4679905555254307,0.5501910164220297,1.0699623968030498,1.6454004046243234,1.2057909178411286,0.6340236178112567,0.4744135369545929,0.4651310382881983,0.42425535947779774,0.48254607521651277,0.43808959545394643,0.4583144463760126,0.4580152462765419,0.4358416002623097,0.5004641963990165,0.5917692024053892,0.5546388746001554,0.7954486411546802,0.8978627125253832,0.7825925052332829,0.584540203029047,0.4574941979634205,0.421420845436815,0.40413647492472243,0.3986403568984466,0.4632222889780768,0.47468125306083925,0.6871823796204746,0.4555302072549301,0.4390785777541801,0.4402653157663496,0.43486368619972976,0.42263250955193515,0.43686858200246215,0.4587364448327978,0.6144954914180178,0.7619376938479955,1.0802219020950323,1.5782625963234107,0.997176426453089,1.0984524303737897,1.258685207859728,0.9020773697616454,0.7910935101761928,0.6532376723511694,0.8576579039874141,0.73665025528948,0.5963857498868391,0.659976436920957,0.5741727520741381,0.6793726031437555,0.6841010466985823,0.611187175713539,0.7435416590793482,0.7789071964721713,0.7611770206601998,0.9011562242656023,0.869597915246065,0.9163325495018262,0.880666738526811,0.9330215227514549,1.055514284353391,1.0932138662361575,1.0683128555733243,1.1862940270732765,1.152796701732999,1.2249248500948604,1.2089682919349534,1.1059301410736808,1.1541033633803983,1.227480413995354,1.9484031103973138,1.3262637248585192,1.3942590961094152,0.9121997655869306,0.9347091452326847,0.9958877091136427,0.9416887051752562,1.118214514788971,0.8591547618144978,0.7921546319569142,0.8452145792861169,0.9293829898447253,0.763545247942938,0.8488972626299797,1.018897296509255,1.0505057111518519,1.0516527414710957,0.7792142944100391,0.7118135144152018,0.6732902622317682,0.7885442387801345,0.9137663659287956,1.1233081174852964,1.0978499373625028,0.9631694518895118,0.8957524385571523,1.004377845283348,0.9434092434533349,0.8943337419180489,1.0785005826561407,1.195252929843523,1.001451611520408,1.0534974397445867,1.2357862252175285,1.2835204066722303,1.1221321614982476,1.1925007248054065,1.0696488515112215,1.0136309574911535,0.8973292263387705,0.9031453432171942,1.0048191024110555,0.9178009657308946,0.8968029350288428,0.975973965500292,1.0117024559819912,0.9325061552001944,1.0258614509682982,1.297507868387125,1.169217423698503,1.1322228251675295,1.3322182932937208,1.4714892144117806,1.4652814285134999,1.4036617491366703,1.500100931366763,1.3687182212792088,1.5383769744571103,1.1831135288868924,1.0438911312466885,0.9886469989487685,1.0988897322746551,1.1144160476411473,1.254955156086723,1.1917350937962692,1.059075591477032,0.7005984278216462,0.6044561936755748,0.5635951416970157,0.5621711985685032,0.5665622165325477,0.8090524628685716,1.3983430813742475,0.5475206850237675,0.8120946863618765,0.9538067634552887,0.7247902470662646,0.6034240745416061,0.9518086614528837,1.1949069708282214,1.2201052190249273,2.22184907549248,2.9380802833288886],[1.2542855359174812,0.5997678719565724,0.5090615294231924,0.4420567827086045,0.5956517100507717,0.5420636278242645,0.4826171198593612,0.5701197447514272,0.49044770481420064,0.4518262360095268,0.4817043784104561,0.5678361000735963,0.46699114193518065,0.44674653095216504,0.5313414744292895,0.5121300463802805,0.5063880992785429,0.5585439021829646,0.6277736572751615,0.5713883068244362,0.6286908202736969,0.7711670443547738,0.8070259038370927,0.9770843070164522,0.7480217354943056,0.7214095539317842,0.5912727898013455,0.4956522473747438,0.4885823376169259,0.5206765987469797,0.5435513882087465,0.5691559291790648,0.6899852708799097,0.6018246232026768,0.5522182786062336,0.5387719199447748,0.5377917694677794,0.5259726160008569,0.5288887895277462,0.5346978850477724,0.7533897776423123,0.6738030398431066,0.6482299351704983,0.677227223063795,1.0007774821318396,1.0132293157735734,1.0187708082745806,0.679178887686589,1.699666955259263,1.5945692726576155,1.0042086814297646,1.6357108015629085,1.274503886524189,1.1759693038102,1.690892163645409,0.9738062421769069,1.1733820243383504,0.7666483993706349,1.0300498406680978,1.1343576477619401,0.8677555482187221,0.6837720867295373,0.6076238417110531,0.9440239870343202,0.6984537009281598,0.6346272715422463,0.7185099829891743,0.6370627316055162,0.8369345250004604,0.7092034599186481,0.9343376426346677,1.2525110467062373,0.8701696823233341,0.9776669084323536,0.6825768259375518,1.1495570052288986,0.603411978228426,0.5929362933896424,0.5580340361215689,0.5412015994096925,0.575010282135008,0.6393428006608719,1.1996647757762748,0.5853515989187138,0.6616888553650856,0.5647138101893951,0.5480452859479784,0.5896650811278693,0.5242502717496713,0.5785357118419407,0.5939108278439822,0.6791579420692323,0.6382777290932178,0.6109478800637397,0.5796488640024156,0.6497883952423301,0.6420024347737268,0.6408661378857448,0.6388429640065411,0.854162602924487,0.6316110544303339,0.8133335071898534,0.5852876590888914,0.7035617949365659,0.6878140715281341,0.665402429372716,0.8363630262585555,0.6280474377388533,0.6401825755040079,0.784579575407956,0.5826644622041675,0.5133148425059316,0.4975361445938954,0.48337900358013414,0.45420865188146137,0.4651578995589382,0.49985043016438224,0.5017939188510807,0.6186257144756877,0.6200479203304088,0.5698862387857241,0.5094660368968255,0.4999843480922641,0.43544493120659433,0.45219818368831405,0.5059946325528268,0.5072440833737566,0.530381253955035,0.49944952851978364,0.5170285514912439,0.5470206814171945,0.5951307165415627,0.5141325993015178,0.5815606917436957,0.5014309439322209,0.5369441393461952,0.6013777415841006,0.4711489914224193,0.4642634631528763,0.4569332122745691,0.6613083619952195,0.7103371719595556,0.558994170396908,0.4762997318226373,0.5339431646614451,0.510636593360744,0.47215104245031064,0.49862024192667326,0.5177946023788192,0.5851397011643269,0.6319626760844153,0.6860895036016107,1.1561921146242315,1.6549366611856864,1.2113863434385634,0.7497869825891637,0.614121395985453,0.625252728204062,0.5417892980257664,0.5842365894879468,0.5339642318950503,0.5015913346190839,0.4471126225279577,0.47167723425985125,0.4713303363283748,0.5726059869823505,0.5533021022334383,0.7686705379399797,0.8874834447142788,0.7740503552504375,0.5817518902162371,0.44894815687428447,0.4439316213093002,0.5057175169970604,0.5222623335479543,0.5654507885324788,0.5448993507147937,0.7446267194032843,0.5489299558263293,0.5654330967693242,0.5671771664423946,0.5568124040023035,0.5343971826042363,0.5389287345032711,0.5619284551598153,0.7072423965724952,0.8556792985783042,1.1174199016423996,1.6256491773799089,1.0258238830434123,1.041850076183506,1.226190244454174,0.8450314597420269,0.7524724274783566,0.6363755928896698,0.8454802189255197,0.7717965814980177,0.6493476503498865,0.7014888726126445,0.6479991140596504,0.718494775347421,0.7523399615558877,0.6893260823098583,0.7715123163299226,0.7869816733468941,0.7820416657156317,0.8944188947208843,0.8422419964991872,0.8972239598930625,0.8623680247979464,0.8843996785240649,0.9802910085469897,1.0377854337526657,0.9845724366283845,1.070293401857909,1.0658027514495474,1.137900936788915,1.1024989883482772,1.0174584420133697,1.0430672759755772,1.0904735390636426,1.8314324678800724,1.164296664302998,1.4318973733089586,0.9213094918710512,0.9398586108928613,0.9986097284579547,0.9338509609769542,1.1101626577023336,0.8631787885715715,0.8168188904160473,0.8516477706146939,0.9332569034623258,0.7685676948446043,0.84733215334136,0.9888782609062758,1.0539127571020306,1.0631408561955338,0.8068068353018967,0.7347611958532393,0.7189924488430267,0.8320612909558607,0.9588454476729529,1.1848049243822962,1.1595015524912877,1.0217581676168241,0.9338900609162817,1.0219051443560352,0.9975850158702938,0.905529278456799,1.0827757481955407,1.1996606012814843,0.9974763974834341,1.028404031783557,1.208487509639867,1.2732161710119219,1.0754184343598465,1.1356145057068905,1.0056621556486351,0.9672439745648013,0.8796359845785284,0.8751614723174561,0.9544834004865443,0.8846287741531937,0.8757922123141184,0.9331618735033108,0.9724652289564344,0.9095210912364303,0.9759507462715098,1.2548712743199053,1.1231251683631696,1.0957846193905771,1.2223999823096419,1.325084980532942,1.3549606126542086,1.3105252109134147,1.3629570263753523,1.2690204128534843,1.4293885218786397,1.0922329662588028,0.9846348275498316,0.9747360588442935,1.0545342957554666,1.0994328450456474,1.2120221306506964,1.1825739170426335,1.0578531714978607,0.7353880273180046,0.6633896373968808,0.6467704417520739,0.6536571632798304,0.6640271786891881,0.8695390989068813,1.4128976013103833,0.6441909850071227,0.799234213648691,0.8851601878798521,0.7052519871031449,0.6697409681280393,0.9084643137560956,1.1792585335240016,1.4103772489970032,2.448091916648152,3.167891720255918],[1.2903135364078782,0.5459736109427767,0.4164971606181199,0.36086280470049775,0.43487112045716975,0.3852608066749935,0.29493696667905167,0.35309734755120736,0.3103246322250485,0.32444770797485695,0.36015969790796326,0.42109972787165306,0.3438787802962663,0.38060850624081016,0.4773293261314392,0.44076816940686914,0.455270032889912,0.5286726751698717,0.6479175007859883,0.5620703330981054,0.6390316877150273,0.7488380037767942,0.820786483427601,1.029771951856914,0.7388805177036016,0.7260191700065484,0.571553366326984,0.4685497928822536,0.44588126871913597,0.4327343003449459,0.5119642773477096,0.4792101843216267,0.5908800353650955,0.5482591055468299,0.4756870335864228,0.4655502617558575,0.4214095506652559,0.4633284613289556,0.46334310172678295,0.4552260018263121,0.6946174657575871,0.6613968417036635,0.6330759801281143,0.6249611132721173,1.0684253243934714,1.0071501300428596,1.0698428288773152,0.6377138582145028,1.6367420434724866,1.4470036102795725,0.927756960532123,1.550036536863024,1.1966810112416235,1.1192266095658174,1.6543186765389146,0.8941282084981409,1.101081250401437,0.7319466495354487,1.0516186202682427,1.0779831035458463,0.866174407750821,0.6630454842648172,0.5919401814849571,0.9693340597519362,0.7011153816651283,0.6198036738512436,0.7671179832049512,0.6396926613154926,0.8671073855840358,0.7097687384527807,0.9552496979700369,1.2980275975432,0.8934724589607159,1.020181127928107,0.6711924001178858,1.1594201744343777,0.5845948302093905,0.578339609727909,0.5227043747409146,0.5010284795449422,0.48805928890372047,0.5339299984703013,1.2024337020233742,0.47782425260521194,0.558064769944323,0.4546503724863774,0.4625516556980915,0.5057761063603963,0.4773759588677094,0.5344619931332597,0.5638730469643431,0.6763058555536166,0.6429331193825816,0.5775951427304697,0.5386119445348729,0.6175180851938992,0.5951484306063803,0.5482504403742154,0.518425872643534,0.787166983681771,0.5187043252644714,0.6495150173637877,0.44934249770407114,0.531307814813346,0.5290391123324075,0.512247430926186,0.7207674522510504,0.4198360942830321,0.44081297560793464,0.6202945960870958,0.3716243446840405,0.3211412097824328,0.30486227636623764,0.36858112943653776,0.383610765462882,0.42448228675661204,0.4585612281352036,0.532583337563312,0.6583242110029465,0.6245386435306665,0.5800632544168064,0.49884497558920987,0.5235521157624502,0.4094190798010241,0.36805042971285556,0.3999890001368055,0.3514369078422821,0.3948564486278658,0.34143219483691556,0.37095628221400573,0.39929618992603766,0.43407796765680234,0.371826686969793,0.44815624536736687,0.3987989225500403,0.4809795787209411,0.525268249689495,0.42096596514224915,0.4685626938192696,0.4531046875475964,0.7192784391344015,0.7635887107319734,0.5880472637380242,0.4694514516631141,0.4730348756908876,0.4382103309516887,0.39603361200343334,0.39583828618143996,0.35689372944990083,0.3940356585817164,0.43701148243823323,0.5176361128171565,1.02996999966775,1.679932250153927,1.2092299362071544,0.6137692950276646,0.4489758286113038,0.43796844659271633,0.38329903846327906,0.42200587252164934,0.3840276797349681,0.4015442898742321,0.3828259705617154,0.3974667120824247,0.4319641111791195,0.5617328452985809,0.5164416814960393,0.7242034358591687,0.8155265718677616,0.7316788608961446,0.5316483030297209,0.4151108927690252,0.37242577572673186,0.3810489096523098,0.36866199892228346,0.42034766251032235,0.4389329007793272,0.6919660718779134,0.42102087794080034,0.4747672790198157,0.4083709738863982,0.38752478174975635,0.3765058357112126,0.41363775833628147,0.4529185120969978,0.6340155981017371,0.7769026555944142,1.0845137913440475,1.5704471167073544,0.9702264985074346,1.1002834534162536,1.232505696513146,0.8239967761133556,0.7029575410119415,0.5461385815135485,0.7383515411799044,0.6877403500587274,0.4861917506034257,0.5333381113064894,0.47910054869510904,0.524271905042274,0.5575663786154451,0.4990136325273817,0.5970717981612551,0.6132711572513462,0.6145699727512777,0.7734465923718368,0.6868176982183017,0.7568102901169065,0.7139589744525409,0.7473810815320666,0.852704569923635,0.9209079634793634,0.8569219205626166,0.9573377508441384,0.9438552546553924,1.0300673454721618,0.9665618728822876,0.8849091183039834,0.9197805267048565,0.9518369993245488,1.86652558303773,1.079878207740073,1.3289753468097982,0.8366046481680361,0.7991806787930947,0.809717433708087,0.7551620114911703,0.9018159247712675,0.674294896189949,0.6672894531992531,0.6790632383524149,0.7978775091761667,0.6252737699311673,0.7370358056193332,0.8463471475378235,0.9065208948299005,0.9222771828568156,0.631166050280785,0.5927304546041336,0.5680625630670673,0.7054579269014112,0.8661571168824967,1.0561955240356904,1.0415406262496956,0.8976223820979691,0.8379761175423642,0.9820699227145454,0.8723201461303571,0.8195833680859061,1.017997041076935,1.1420316064945488,0.9227344488704413,0.9322377850916947,1.1270729899773753,1.173320137885939,0.9669522674752598,1.0202621931944575,0.8803466270672655,0.8393709677652156,0.753400871812387,0.7361829081016102,0.7943747655185857,0.730626020067555,0.703630190174225,0.7740851105263731,0.8264318148849044,0.7504263019054018,0.8162979158006821,1.1082885025526772,0.9937956392081272,0.9549218905912538,1.1014130174028889,1.2413434574981606,1.269791098931807,1.208606977472213,1.3042743148763962,1.1882956312741737,1.3073076254915312,1.0088733736186268,0.8590719085850921,0.8038602582844294,0.9727624001907789,1.0061177072225975,1.1492893578927963,1.112394875943108,0.939979819168647,0.6121530885224906,0.5047118107211532,0.4925788617536368,0.4748346285663655,0.5577603714253522,0.892125393646754,1.510512407816352,0.5524997926394531,0.9046869641868209,1.0589964314739697,0.7090156444641371,0.6667448665208909,1.137801953755902,1.2982931452983517,1.037850850286104,2.027523956363573,2.7337521603408024],[1.4084819504270731,0.6210863516579187,0.48663253869920264,0.3908071027502594,0.44048189399961624,0.39556951610630625,0.3281383023881973,0.4140581202181094,0.34728913073921264,0.33202402514117785,0.3659112957484612,0.45543026376935364,0.37047347742629644,0.37513257112271997,0.4978069117429009,0.4519801289850867,0.46312212435505345,0.5444676153398098,0.6442101952237272,0.5609448701287825,0.6207207414728608,0.7042382115722428,0.7752619460298504,0.9799588790890004,0.6878688130163477,0.693032873294142,0.5296107452662032,0.4545682099802091,0.45168454995132484,0.45543134827592535,0.5511723828531805,0.5260882591978514,0.6267279729199017,0.6006432117358638,0.5201203157101546,0.49456426498491707,0.4654144746003097,0.46096537643999613,0.4333334585375369,0.4185270064349962,0.6582597088681069,0.6307107687487052,0.6094691969131855,0.6200236363061771,1.0575371384897663,0.9746311933600151,1.00768969790994,0.6380379155818127,1.7166914110788591,1.4605662447208274,0.9797774783428331,1.574291884887093,1.2111354132574632,1.0875778317334868,1.6809296623317025,0.9329398353410605,1.1467592444881498,0.7208417350924968,1.0668651809395129,1.032989104074843,0.887930722578349,0.6996370555675628,0.6452821888207955,0.9971198473676262,0.712588473655087,0.6453042512653734,0.8226298150642893,0.676831462865294,0.8944707633747339,0.7308576407133762,0.9960597085012926,1.3682475751556729,0.9265212940319801,1.0390930908739409,0.686661725551883,1.1971360812459186,0.6069949772476187,0.6395777769847532,0.5701042727599612,0.5424574807615109,0.5247449991916969,0.5382608410394556,1.2396260117123987,0.5164566246100568,0.5214485946697425,0.45467443158078974,0.4841165552725987,0.5354506646875022,0.5154042962980834,0.5956954666197756,0.6103694776048927,0.7224803061698079,0.6907997060893631,0.6282503497986308,0.5803640664044262,0.6561219171917932,0.6210259266505507,0.5865151964644209,0.549330882002293,0.8195025886099443,0.572913027268171,0.7284202638770565,0.5251544551919203,0.5996006480351739,0.5818937948714205,0.5730599281432353,0.7870238994342965,0.49879800666196794,0.5207331404011207,0.6638850696995722,0.45167218872068854,0.38038097179546404,0.34448819231184336,0.37906862332648666,0.3776921570918224,0.40574208400949063,0.42022828046594096,0.5020586628991291,0.6106274535116284,0.6110743517440069,0.5543321218551089,0.4753224914996703,0.5083089966723144,0.4011441020353702,0.3459141268899785,0.38088992019914775,0.3779988954060014,0.4119005578200222,0.3752873318303567,0.42719934102791873,0.4212115163536356,0.4716916858331209,0.3931669757885568,0.5250017470553018,0.425835946208626,0.498662116960135,0.5414551114470084,0.39639052618526455,0.4432506859138135,0.43000265714614333,0.6954805889698599,0.7164845532176999,0.5586496008678048,0.4353122522896961,0.4291077400429824,0.4143979067136335,0.37596135623970856,0.3808017797542725,0.3682970707092409,0.39736562795080094,0.4717345931012036,0.535948885089758,1.0514142993422688,1.6756531592025492,1.170134900875927,0.6583332416611833,0.5029302461837053,0.49273601307348164,0.4389464673250313,0.45130524955274604,0.3757078980094307,0.38883097280316975,0.3684117541557501,0.3739468828737197,0.41671678716189503,0.5349396146116656,0.4773916758202126,0.6397577894554939,0.7704571902083969,0.6860648645754023,0.5117872278102884,0.3900421392296217,0.37990460843231844,0.3988323741863464,0.37731133691321317,0.4420685752283939,0.4554407416316653,0.7572411531567599,0.43457619175955947,0.5134547772462751,0.4329288272498361,0.43231624196343366,0.4237468343008343,0.41680314800409757,0.44204488532620123,0.6037339688485404,0.7366604510931899,1.0472043674558547,1.4924385278374286,0.8736104010180074,1.1269832799186055,1.154261078808384,0.7801658350508123,0.6712051315751347,0.4863333128390768,0.6552158052836722,0.7074048404015714,0.48747367398887326,0.5453870899967268,0.5154273704915564,0.585316344888143,0.6451012925036975,0.5603538488817478,0.6391107773993377,0.7078752620198125,0.7049831073598885,0.801723185358641,0.7477084282226178,0.8788793070694514,0.8017865697104317,0.839059232175761,0.9674977247532549,1.0265169574166115,0.947688324049123,1.065195322535227,1.012135724539428,1.1255135788537443,1.0168019045326906,0.9392157878324908,1.004135126613322,1.0368335452207005,2.0509223331185824,1.157425207278091,1.4202595648990017,0.9301519760688138,0.9157814197393283,0.9124348543754517,0.8376472462619492,0.9435071232920135,0.7306405700635341,0.7554948451949335,0.705964912007609,0.7983162215761772,0.6456641895857114,0.7901196294879255,0.8173467345574671,0.8893844417912742,0.8923094109039104,0.6472009681316253,0.625648916460464,0.6523047717382595,0.8233384312913855,0.9884287179908553,1.226414406526787,1.1797854823467602,1.018989978297595,0.9852379016737455,1.155517211400943,1.0042061818479464,0.9701982395399095,1.189775808778291,1.2946375463515467,1.0595328319335047,1.0966973970941347,1.288433119821183,1.286743830559527,1.1093949267665677,1.1695376254454777,1.021376398919978,0.9867671625738053,0.9032692923873907,0.8770663615813588,0.9209721626595893,0.8353925112009153,0.8063436867556344,0.8439981260604255,0.8810211578170674,0.7888792626047011,0.8360053126613168,1.0956294046527448,0.9975560634311647,0.9417087909971394,1.0779331239540562,1.2156690975540123,1.2564883041744652,1.205114403330104,1.275093758040378,1.1952814895143518,1.3481134857830082,1.0269570163755237,0.8925851228781186,0.8559470674491931,1.0019934544277702,1.0221265706954572,1.1288342756619183,1.1054065461469507,0.9231422607210967,0.6268973926850655,0.5246815942952097,0.5131409526283646,0.5334348638216617,0.6503334028193857,1.0175768342307923,1.5515355626052385,0.6206218610937293,1.0041986498716893,1.1339178660436022,0.7766550749193973,0.7561037812981681,1.2521627187983562,1.3848431437221382,1.0807919744001304,2.1698798296895165,3.0769830698299008],[1.389094924185738,0.6670633119017663,0.5920375459631246,0.5138113543397732,0.5299425912423253,0.49222474092102014,0.4589872899248062,0.4790684625757747,0.46703217780809436,0.44303901978392696,0.43325746611976335,0.4978064563894241,0.44328539546260876,0.4655369403577909,0.5306695416116742,0.5169128304795673,0.5309550519358335,0.6267858098109486,0.7604173044613828,0.6843360512255923,0.7558760920586203,0.7994396010692317,0.9125483841117807,1.124355311044678,0.8363849287169423,0.8322811503714461,0.681188764316771,0.583815308355166,0.5464754162707999,0.5074523692018635,0.6078052367521153,0.5520454277966238,0.6413079022780437,0.6314258913696756,0.5791275934796054,0.5627581888780134,0.5135775609699259,0.5649096656261063,0.5663148842055845,0.5620829552364988,0.761279135346128,0.7523979218444445,0.7414429439140898,0.7494800978341398,1.3459453261594858,1.260386345683684,1.360744274938197,0.8417804521421006,1.6070476250608723,1.3548014698662414,1.0445824528116971,1.5423690612023646,1.2379996679316498,1.2162250434006854,1.6574302744984577,0.8938799560595204,1.1970168671118289,0.840372603139145,1.0786705252334943,1.1096274572332625,1.0418215781104667,0.7775051024262083,0.7007791800409484,1.0676048408653656,0.855092757390883,0.7751230583224699,0.925493709384509,0.7505886612261052,0.9888629414465916,0.8017340181334464,1.0272469011357563,1.3551823241386654,0.9700003592553158,1.0910020436765044,0.747457446020497,1.2599707076740057,0.6725190834676967,0.6792239213054708,0.6133620368561253,0.632500501935042,0.5695350839620492,0.6087882405381562,1.2967164309890362,0.5864591908907781,0.6337850683514343,0.5527523174103338,0.5535272167998561,0.6203190528222188,0.5927398200181929,0.6343096613698815,0.6425596040702252,0.7814138086063018,0.721765928140261,0.6512665367534771,0.6035293662971686,0.6698727662851206,0.6451320443097067,0.5913585256556876,0.5628859799873026,0.9106837349410152,0.5873097375488422,0.695800020486956,0.5526523302088581,0.6111769676773834,0.6092481999316874,0.6034180760247796,0.720639712883966,0.534963327821087,0.5715448459266478,0.6941066782553232,0.5169866513016745,0.4658230856619689,0.4435264737918737,0.5022434461266776,0.5010514378783666,0.5670149514820197,0.5880570104124558,0.6406550053216948,0.7523909655864496,0.7712690550956203,0.7072812268962413,0.6298304025156153,0.6499244025593648,0.5580740155501555,0.48815063206595394,0.5111586892807343,0.4901282106508261,0.5224320959892642,0.48566606308610966,0.5000846777861581,0.5296445220708097,0.5379649755110172,0.5147832488004268,0.5686933782667469,0.5624083059299463,0.612952094098875,0.6613241052701114,0.5382364087900702,0.5914821099716939,0.5930373558326577,0.8231937541264838,0.8625804826437867,0.7313872130364272,0.6155447668150621,0.5628224059297502,0.5271637439847648,0.5091631630156023,0.5114075770986235,0.47194913574736413,0.4832223738591862,0.5303758014050648,0.6151368507822019,1.075913354027046,1.8470229786895052,1.3558345299830306,0.7247866928082332,0.5393493418100797,0.5307735900589607,0.491898976847433,0.5431960606014665,0.46839695674132026,0.5044216757876092,0.5352955762468281,0.5277583870343413,0.5681766910412105,0.6709494583357356,0.598819715821075,0.7532925948881944,0.8688973577831735,0.7968372871664572,0.6600121505685457,0.5629114474280178,0.5235902993788466,0.4936735780484103,0.4766445841800035,0.5274157401804699,0.5102968888482876,0.7708690986485649,0.5216906994456089,0.5708476719159867,0.5148037744200583,0.49037754970088154,0.5039340043834686,0.514689166206327,0.565118283267437,0.7346497152646699,0.8482977473135427,1.2038593910605204,1.53261708406827,0.9657979311135723,1.2285847557408969,1.263635658100112,0.8992165128570084,0.7947021422635916,0.6181942893158116,0.7761321092877513,0.7799215925938211,0.5811849452645056,0.6153666598861193,0.5841856962121968,0.6280499035932952,0.6854506700002418,0.623984653472856,0.6852620378384009,0.7526376522303837,0.763605410354462,0.8525305716345728,0.7792919540721926,0.914137199138664,0.8526733437878629,0.8638075590239359,0.9929161490066353,1.0742636619549049,0.9791646976917938,1.0694183405538256,0.9900166733057353,1.1539555182245664,0.9844557664960193,0.9401631135753079,1.0012162640093827,1.0170875969961881,2.05345586717254,1.1268772228653179,1.3434542477991922,0.9544719418854664,0.9263023960302998,0.9159813516159284,0.8401714004941562,0.9165677737384234,0.7340769023138103,0.7416197363737052,0.7069320849095122,0.7911159886699398,0.6616308798486648,0.8436868744802928,0.8261070125627356,0.9033878580405217,0.9436345789123657,0.6889001087613221,0.6936658863844728,0.700511787980125,0.8478921284087793,1.0432599613970344,1.2009995576521697,1.2145546485324406,1.0593880676602072,1.020046513935159,1.2196699605419592,1.0577562152995814,1.0061808118158886,1.2086145712868186,1.3160690373490904,1.084810105277757,1.118446709464798,1.3082178526897121,1.3137126510390917,1.14725649785383,1.1943564613599396,1.0476156327661634,1.0009625065966026,0.9274851473154629,0.8915537177008666,0.9116686736779315,0.8540752879764187,0.814763184110467,0.8477363303306868,0.8858124447312263,0.7980161747501663,0.8440835780183642,1.0984499544729993,1.0057998028839157,0.9499884334085041,1.1125921557385068,1.2444696805164281,1.2696195147540021,1.2059292498518441,1.3237246286388349,1.1606062449550176,1.2878531812577692,1.0101018927267464,0.8891416253765343,0.8551307094622809,0.9785092405232441,1.0291536364526144,1.1539900683431215,1.1353484659488577,0.9450133134810933,0.7081882049860553,0.6085922357264377,0.6027111522454733,0.6053378152256484,0.6734109314611264,1.005522839854423,1.6321376599411643,0.6795057765741772,1.0466206171106898,1.2172285447904991,0.8638082407857374,0.8217563258685457,1.302583726863222,1.3888475752207443,0.9771586899068372,1.9014813405644735,2.7065933397253366],[1.5006668210915808,0.7145918196457571,0.5503542258832999,0.40612580981557106,0.43121023760980876,0.39865304569487137,0.32448306558446866,0.4121780677338959,0.32703851564146724,0.2771450553386845,0.3238914494246194,0.41346257711132695,0.3249648937825257,0.34779885871997984,0.49949949562404,0.45229645454551387,0.45278930523670047,0.5764703392291024,0.6789309917026705,0.5913141434301872,0.6582445174109112,0.7170296902398597,0.7909738957519622,0.9943206427073873,0.6933072936652617,0.7041176709904842,0.5439480709054995,0.4691990655251933,0.452018122656745,0.45034848489377566,0.5754028059468247,0.5200955384385562,0.6535486034770729,0.6306678747927686,0.5544423284172604,0.5244946432925506,0.45886424203930926,0.46328858195237393,0.43516306896118795,0.413604466698385,0.6488979313515719,0.6297285075380895,0.6114698108194477,0.600564663897188,1.112252167485776,0.9870525233753901,1.0467970845698864,0.6740525027365644,1.7543310489863497,1.3847211412850302,1.0447476265862046,1.6002700900897813,1.233279002660988,1.1033417943097281,1.7124576148693946,0.9798737817864798,1.2015419371576366,0.7581407440852432,1.08240908470826,0.9929097219184725,0.8970542487447444,0.7511015370339025,0.6927974290692686,1.0711204000660566,0.7550288809698606,0.6802638668997839,0.8680320541810734,0.7179836496120802,0.9244303986749686,0.7537172377861461,1.0512751742719753,1.489400191571786,0.9718002011003066,1.070968681147647,0.7256516956281229,1.2452899289188086,0.6421415651766263,0.6690396143652397,0.5922533431244222,0.5809320003933262,0.5468807705989897,0.5628086363964487,1.3052186765588674,0.5785524125095085,0.49293944503043136,0.45011509266730315,0.49200786824690784,0.562611558753329,0.5497738556689429,0.6398133652920591,0.6310051924349039,0.7494552472846299,0.7136091931135965,0.6645310543727568,0.6049673761763444,0.6872072128810909,0.6635729608894917,0.5834830866690383,0.5294910648557282,0.8519535665725403,0.560878383529083,0.6874204540565412,0.49386592256427203,0.556142046160011,0.5521161360916242,0.5665845942176266,0.7635134317843323,0.4798192223257032,0.5051855829101441,0.6391586501325502,0.4394911803804445,0.362231976956463,0.30853095524171525,0.34762771245350643,0.3574670600699329,0.4266665876995373,0.4572519106465681,0.5267308832426246,0.6546782786312094,0.6821427760282524,0.6065796868958911,0.507716477998711,0.5160762905518523,0.39748420157693487,0.30729343819860216,0.33388284305928617,0.35762219309562115,0.37931111404616186,0.3508254030369963,0.4250872809971827,0.39386102290452923,0.44538327073088896,0.3810055880281088,0.5090984612733507,0.4357411543314805,0.48577346892233436,0.5269933226600736,0.39351432173804757,0.4599470504407339,0.43689170412640016,0.6924715596322211,0.7422925399193642,0.603950435074756,0.45746582525666935,0.4229558307839916,0.4078637322251816,0.3720208158493012,0.37763265445729943,0.35714462924250356,0.3622124947311777,0.4800566369501789,0.5273708895357025,1.0519572957722847,1.7872383188790402,1.2404388424636479,0.6729650873377319,0.4646647459843918,0.46873509258121754,0.40779076105770223,0.46201050377023223,0.3757865792034381,0.41063674304396,0.41162262207586,0.3708571047359579,0.4816213695079471,0.5005906880224563,0.4568504687908982,0.5712884853573953,0.7149060853137857,0.6482494533501687,0.5026271344697806,0.39129099437390263,0.40894886916442585,0.3904623627658873,0.3529686885521602,0.40491070059564266,0.4420002978240745,0.7326767832120004,0.42529992704760283,0.5067377953210062,0.4087627522484785,0.4007809366191615,0.40499507030862597,0.37960971553380557,0.41464939595787725,0.5207457873564502,0.6420742317753312,1.0027406205387694,1.367636200164916,0.7506100913392343,1.1974769551817583,1.0957853571218708,0.7574956860492672,0.6456351154849299,0.4551687864289363,0.5582798988640383,0.6600212170544942,0.45303958683149226,0.5028333515887863,0.4949967342064265,0.5498431136246884,0.6181671929773074,0.5298414313228852,0.6060942070537908,0.6853540255898289,0.6830498841222609,0.795911377235049,0.7416505288783816,0.8733643215990315,0.7977831056882945,0.8447948758194953,0.9774781418178964,1.0374305857320478,0.9731929402422729,1.0701072791795798,1.0082743304694128,1.1471192609670533,0.9947462792092632,0.9230310572322471,1.0003135640620278,1.0053052572019987,2.1670589226983936,1.1713937180364364,1.4538117822301948,0.978283776393584,0.9378329434103649,0.9054652038708565,0.835247485650972,0.8792865087650698,0.7102326990175973,0.7574425452390925,0.690927887670156,0.7834251870216854,0.6286161917814465,0.7939434838286669,0.7213047970770357,0.8358248479436904,0.8018098642423099,0.5895617514359278,0.5950450017075598,0.6522873517113698,0.850046767028528,1.0122219911960595,1.2284921007140261,1.173028249170167,1.0116893531904148,1.0110544583692194,1.2449906893493792,1.0044375535698435,0.9810432894454928,1.2185701080744584,1.305580635897273,1.0712987663683584,1.1175162695331133,1.3033653149481959,1.2614252330209264,1.127612769337477,1.1860337133587466,1.0442036080617423,1.0048391326545345,0.9156298001843102,0.8939631036654523,0.9229461044117215,0.8349676419234827,0.7933806593519014,0.83175472343797,0.8745901425015936,0.7637883699380078,0.800138625808007,1.0444157782216923,0.9725858806600887,0.8815285956443734,1.0263673716323773,1.1636339581279371,1.2180521783315714,1.163324566032764,1.2475509837247434,1.173648964817548,1.3253985117862288,1.0198255757855055,0.8841820306452669,0.8451896470152799,1.01343592800131,1.0092450728822864,1.1049342867443528,1.0964806474548283,0.8755853055741764,0.6201725611199804,0.5092624348906788,0.5451136137525595,0.5424452703041014,0.6867796541541881,1.1223539717299382,1.6578766988026883,0.6749977243798195,1.142376759888587,1.3014982271593822,0.8515811965453048,0.8569839851349612,1.4666196332275465,1.5125219910938026,0.9283850991341566,1.8970238248475444,2.8500135597446294],[1.4881531840861397,0.7577140446342068,0.5999726688076854,0.49367982311919506,0.5104004538843475,0.494442296046166,0.43518029090042337,0.47111800146280164,0.4244602866650419,0.4065838063941033,0.42409455021067766,0.5136996608656222,0.4496710993830417,0.48525627259546084,0.5880508182312683,0.5488957867470594,0.5669688034299506,0.700147264257201,0.8347971125948822,0.7516237586913967,0.8491458525182574,0.8947982669563367,1.0027551513618773,1.1959349422950853,0.862252101207792,0.867036347270851,0.7159000299028263,0.6180312233710308,0.5931271755536885,0.5720868185502378,0.6944308699344199,0.6083688723164175,0.7408404767185444,0.7311281177446917,0.6642264260309547,0.6590520858937827,0.5841209115323645,0.6266372414705176,0.607566368846423,0.5789442882923863,0.7600804236138184,0.7878024333222672,0.7936708427245023,0.7551847176650375,1.4211737617474955,1.263737746941075,1.4426620851293703,0.923217269591147,1.6230228024647566,1.2517904313880384,1.18513642412688,1.5740134764711502,1.3124991556951213,1.2501558056394888,1.8091757133136854,1.0554642755701495,1.2706629077631015,0.9349261050031201,1.1674307276096925,1.1141357519646473,1.0597170287991693,0.8781431360046417,0.8358606821282759,1.2336891725101673,0.9395068987161307,0.8371490229583967,1.0349935638865275,0.8607351514247708,1.0622468472275153,0.8817422952260245,1.125092566141163,1.5484068815541239,1.0748449848828552,1.2333578422531009,0.8526343012840859,1.3545506556819797,0.7950435562606543,0.8101124494472446,0.7422539182364345,0.755199096708025,0.6770661699803734,0.6568137512654247,1.3445626900646517,0.6695096425254439,0.6052865736166079,0.5552376397529523,0.647162212411627,0.6957768628922542,0.7002314224769637,0.739440412096125,0.7524855331759991,0.8655933208090618,0.8098547298401811,0.7532581214325974,0.6971517681643963,0.744693028893854,0.7371316419178904,0.65583461747781,0.5931596982532327,0.9520112016564933,0.6371561239292474,0.7262700834890319,0.580300721936998,0.6027326871916978,0.5999596027394831,0.6189099662526532,0.7346022053467021,0.5055481260318092,0.5215190024433614,0.6369488221538162,0.4877588193526575,0.4588443590058056,0.42293045030836773,0.4922087998433051,0.5066640776891151,0.5870662723990324,0.5943494099385749,0.6817707456737523,0.7999053830606667,0.7953947273444099,0.7336278576792947,0.6354902816195451,0.6614935173247684,0.5398331924845396,0.47346860274632835,0.4665517061518408,0.4639695312751957,0.4881235685658058,0.44865114200185935,0.5100861126395182,0.4909815814926499,0.4931957026636951,0.47748975579214437,0.5748784292478778,0.5325194008513618,0.5699696003602894,0.5812380608804527,0.5089886792692101,0.5662114441666692,0.5700953198252565,0.8317248441899785,0.946152272497667,0.7836143004314128,0.6222611920789215,0.5828056110550347,0.5590351956367492,0.523100920567612,0.5122653598108865,0.484938193849368,0.47183684568398426,0.5597007414179228,0.6432177416496878,1.101492254657376,1.8719324650151252,1.3527612456164695,0.7647996914641357,0.5292322506224212,0.5319685896781239,0.5057332140486896,0.537495871313552,0.5097691021398294,0.5485665483650471,0.540080234336236,0.5243973125271453,0.5937858175162415,0.6377478130249384,0.5756220032171774,0.6502993924923638,0.7420796220676107,0.7059414990798358,0.5753939159056763,0.5290787181913764,0.5236473930566634,0.5013589429659082,0.4865908414319752,0.5237389075521021,0.5492484047945807,0.8051658925432602,0.5349877415373488,0.6183778884825062,0.5203167479744444,0.4889225753565894,0.5035862127134526,0.4969685678233721,0.5392865312994005,0.6742790068721353,0.7718954806842252,1.1734716316077562,1.3783342483299286,0.8112076086966556,1.3191645133264165,1.1687940620469488,0.847855197127745,0.7520159966871841,0.5833661373334056,0.6646739575863022,0.7060252854366864,0.5180326224542599,0.5542102920863567,0.541166342561733,0.5739130962444857,0.633832728482742,0.5572410356677987,0.6266624145832215,0.6921683687141766,0.6976611142604557,0.8251958302231469,0.7499022378802871,0.875019498559201,0.8131545443822193,0.8522947029152679,0.9657806881090797,1.0363612758182599,0.9726650126293053,1.0600371354874536,1.015943195580646,1.1390629180897975,0.9948827243182424,0.9183455107487174,1.0013093728217795,0.9978309768055369,2.1856244051950666,1.1800291172408708,1.4551559325583303,0.9825249607712083,0.9290589376873669,0.8988959581721739,0.837049778730781,0.8560390158579793,0.7205758252411067,0.7703242929886394,0.7101760131778817,0.8040554762509732,0.6449063237572126,0.8010567316700877,0.7264797840889177,0.8335886215257698,0.8317042608329493,0.6127466584276181,0.6221501449969784,0.6862421961910078,0.8721204476978688,1.0485031721200901,1.2258160359284958,1.2048476922893174,1.0423975877861482,1.0287011451180208,1.2807466680167734,1.0228619109912365,0.9831293326680369,1.2137490339057448,1.2998283056803508,1.0634063459679712,1.1137094580094875,1.2980111171012974,1.261426591868582,1.1231925573467227,1.1762863246053858,1.028842082609121,0.9922055774671399,0.912098737780711,0.8942093702223148,0.9181889463754399,0.8325149611633516,0.784424208838009,0.8217797829170298,0.8697048491022715,0.769854764371104,0.7939631499514955,1.0233649451009417,0.9689406705375114,0.8977746478346267,1.046492164514903,1.1949830272700892,1.2309029246293477,1.1621133842941056,1.274180826033576,1.1939523148015678,1.2770235314669285,1.0311856961402888,0.9016030594570027,0.8593933235964274,1.030776708051274,1.0234062575989151,1.1457011881831907,1.1252476267940414,0.9071224570137619,0.6697603142823939,0.5513536528234478,0.5845704328527336,0.564279172686728,0.6851153628213822,1.1231024666156597,1.7184653481564558,0.7047484068028429,1.1601051055687328,1.3664367662630108,0.9075498519236016,0.9029892749915442,1.5097214497946803,1.516447808631954,0.8951174034333946,1.767876217203135,2.646633767814517],[1.4499224144316172,0.6714539960821617,0.5443311422732557,0.3622506668116108,0.4163972028665571,0.42904254531295377,0.3547796439293712,0.4444549551210317,0.35635936601546364,0.30418014544379973,0.3504007561783455,0.47355421421347865,0.38612397522848646,0.39896001484062227,0.5589895357376262,0.5252528258414557,0.5108682696697443,0.6318957693582224,0.7550806646251002,0.6671481214514603,0.7568694307864184,0.7991453854202126,0.9147487695935644,1.1359865617859044,0.7595883203498853,0.7760638117761678,0.6098796121073714,0.5357295144955415,0.5263727202517902,0.5149795765568962,0.6554873280876727,0.5995100561919214,0.730919875447993,0.7186400225930033,0.6514996786621858,0.6133467440535858,0.5393443890521817,0.5637180038116552,0.5333976836974978,0.5242129139840759,0.6835107624291755,0.6963868365902393,0.7092035608284196,0.671424085338893,1.2498885878444557,1.0549406793622964,1.2189357578136881,0.8151859520364824,1.7055054216378738,1.2629517156975847,1.180870258431991,1.5911698380687955,1.3006778538800319,1.1772270327435541,1.8062929309661304,1.0532616165255966,1.2578284478940658,0.86868617000112,1.122694584169246,1.0290259389810563,0.97300564938411,0.8364301920796614,0.798925006183816,1.1867261725823448,0.8576443762396595,0.7699454716099038,0.9726785264764352,0.8004102899251703,0.9802312977427613,0.8153503564886727,1.1096077457727327,1.5915757295150639,1.0216096626691584,1.1339173107480276,0.7944190444464532,1.3219434544987816,0.7379695243086198,0.7791815180460364,0.7031539653981431,0.7020579243928471,0.6416473090807947,0.6322807756570197,1.3557163594058153,0.6808794840798327,0.544053791754155,0.5254558832858574,0.5902539236327401,0.6597763711871453,0.6517316296696711,0.7222795005898407,0.7148820075311542,0.8185809430072465,0.7883530443848732,0.7344959577319186,0.6710324400006041,0.7320404249035871,0.7151638525871157,0.6495521878748787,0.5887419520791499,0.9577629968196334,0.6398816914369612,0.743332981222527,0.5870015110379633,0.5998192147959864,0.6042182735515184,0.5868279742751227,0.725370667615734,0.48427997468389117,0.5004824299085002,0.6190572949381069,0.44837910120302693,0.38648086499897444,0.35956930913483026,0.3970620176307144,0.4065853936876311,0.4883765464948925,0.5111199690962291,0.5937432636268594,0.7210683089930755,0.7337993895001851,0.6456167986882306,0.5741867080881842,0.5821546171748845,0.44222225642404217,0.3510669267022641,0.3546712574411769,0.3726998116668454,0.39562801196577657,0.3707257951040479,0.4610139869190631,0.40759762281796796,0.4459228426533893,0.3978455512250291,0.5700042983720373,0.46074888666895464,0.4788872287270537,0.5120576269934753,0.4078641879342247,0.4810577909651748,0.489948942130079,0.721698813623364,0.8106409509572438,0.6658848414880755,0.5228544771888765,0.49030068295990953,0.4819307677480242,0.44377264662574983,0.4373327161788302,0.44555584965185696,0.43297336414839244,0.5334112836533712,0.6134906235575092,1.0943338330563015,1.88076258063026,1.337172912553036,0.7654013510592482,0.5315388499045587,0.535424753678622,0.4876486604057392,0.5227143043785835,0.4521416418504975,0.49822271010189845,0.4647067856309226,0.4536806690234585,0.5287888167891353,0.558676548023028,0.4842167557526208,0.5577639765548618,0.6575209903567343,0.6304571167922998,0.4974840452154928,0.4269917813313027,0.442326869225324,0.44678500718676467,0.45117423220331815,0.4973448528645822,0.5123317723711058,0.7894108264189778,0.5192644850931715,0.5986546567531457,0.47483183569653126,0.4631420653595313,0.4681421850947271,0.44100489991613295,0.4745557337190116,0.5966917123943111,0.690174679328995,1.0876599983008386,1.3394215008140962,0.7472329122511905,1.2980552983374984,1.1222681218209567,0.7499497563031634,0.6355832959663968,0.4652523569240612,0.542504247735447,0.6833383378602749,0.43888595955915105,0.4802774204297765,0.4950036708985966,0.5360240230639831,0.6214268250515725,0.5295487487427661,0.5901075092980396,0.6803409098887244,0.6922207941090347,0.8076212445521924,0.7282839078817485,0.8823112717154549,0.8098997825347365,0.8413553489489354,0.9710493819242485,1.0353943136070578,0.9774073746685142,1.0486792783519565,0.9743839503449557,1.1397746078776616,0.9344032932240132,0.8815090677526269,0.9753054314504077,0.9809178688577809,2.290930610348698,1.1456538398818592,1.4357533233921835,1.0048072903489842,0.9795019904212984,0.9154374501912018,0.8520208231568968,0.8452908540560097,0.6925587080483175,0.7600159902593335,0.6821280481084401,0.739428491096,0.5932217322503589,0.8101258475803381,0.6513297663319076,0.7652602009004948,0.789070502439095,0.5698196286123619,0.5734100960611622,0.6887502018653061,0.8831231158135715,1.068275195324966,1.2598762495958764,1.2215691278317966,1.0643070628290774,1.0611698291896683,1.3266409178072194,1.0564624942682828,0.9999943520989192,1.2384567200819634,1.3123144477056765,1.0772269654858122,1.138213368555055,1.3282458733973213,1.2773375214331917,1.1459810178707428,1.2005413212735994,1.058536788423053,1.024519887184082,0.940530922079412,0.9167983286337889,0.9213352445708829,0.826194710061235,0.7656701055116905,0.7955004218231743,0.8353297886260777,0.718975032753446,0.7470540937450834,0.9453136864762116,0.9053457469197761,0.839962617105932,0.961887469517648,1.1008174203940033,1.1568148328978975,1.0804346500640019,1.1544474361502648,1.1163167618818202,1.2069571976915319,0.9533370305193418,0.8376066294108186,0.8120532929363204,0.9534037862610297,0.9577337582713211,1.0444464870840873,1.0415284774019669,0.8348558474665526,0.6242537502256587,0.496130886886018,0.5153951316129078,0.5227562740965618,0.6504845660364378,1.1039261111105236,1.7086007316365925,0.6647825806179952,1.1544151950153205,1.359369402123572,0.889303290297428,0.9130444916812515,1.5289420260356772,1.4914278521687931,0.9033832789513491,1.7143390121363173,2.6038369924805655],[1.5660488024787536,0.8933018413115659,0.7932776345022884,0.6239162040488695,0.6729265788318685,0.70634730879858,0.6856607661319005,0.7403626076296069,0.6972557533271999,0.6324413407349214,0.669542670689264,0.7903285566141862,0.6934084312552157,0.6508806727030721,0.7683123328957959,0.7675970663553929,0.7488837243729232,0.8075098229231874,0.8972633857493657,0.8439833355585922,0.9244036354739013,0.9564393519353147,1.0682736253767688,1.2902851392992376,0.9036624312743469,0.9122228750504715,0.7818215839344894,0.7366930815860031,0.7573131139025002,0.7624063859100951,0.8366827629094147,0.8383636922203802,0.9295497153744068,0.900056411191043,0.8606138607539626,0.8024400285175974,0.7806278024371881,0.770815129912376,0.7452794254621655,0.7499543210710568,0.8496014107146667,0.8580902002796775,0.8766108305933422,0.8443913493317352,1.305152305103254,1.1138610989307671,1.3061807647639117,0.9327730911678727,1.8249858277289388,1.3201142424183678,1.3275386384896288,1.65623463846031,1.3758598581214259,1.2400925342424158,1.9812741770398152,1.2768250256795093,1.2452611414531976,1.010406274804303,1.3653972040789875,1.0919723930631136,1.0436976159158422,1.0094932464475994,0.9842760997304424,1.352339372888266,1.0045126249470522,0.933573122285426,1.113525681692976,0.9557217611389603,1.0908772789408654,0.9470710842959136,1.1951989601690278,1.7077404265105587,1.1275359371524176,1.2436361935504998,0.9444997378037101,1.3945630394932884,0.9011786624844735,0.929231115151447,0.8862093210505874,0.8633711142070306,0.8616005758814613,0.8758346994652565,1.516774514674184,0.912743825183858,0.7819495004571696,0.7845035551583273,0.8140658368810918,0.8783882829670512,0.8357608747747968,0.8977187798452603,0.8791811871960324,0.9186894140187467,0.9079572008065534,0.8985338203519226,0.8614921579087005,0.8958631624840996,0.8908721547117533,0.8691129079454011,0.8583328324406762,1.1877901609160417,0.8979380142057108,0.9981270531124269,0.870347725606263,0.8806825296875943,0.929184022446196,0.8547164787124882,0.9496129163934378,0.7757082919425022,0.7996630058947618,0.911473239271908,0.7508764842346508,0.715716388308888,0.6637062149880268,0.6301124965574043,0.6645015703172003,0.6881243241131986,0.6952214186571064,0.7614515292670183,0.8979369912936047,0.8604580218043942,0.7948253560473274,0.7327739104723988,0.757912202473623,0.6518590028865933,0.5848559243764023,0.5903623374177849,0.6717794410884852,0.7117476714614528,0.6755460438731725,0.7539796859436563,0.6926716877680766,0.7340557038021499,0.7006693811450162,0.8371755687577744,0.7598205769074867,0.752016723588652,0.7526322439736293,0.6516836266796182,0.6785326138111701,0.6965851399066731,0.8462688718806464,0.9258539831323587,0.7934730508756661,0.7224030188176553,0.705608569729728,0.7023238337143636,0.680784783317037,0.6997915377890283,0.7066024278689229,0.7165097043479215,0.8306374658108412,0.8978383753341757,1.3463905657518769,2.1118827451372644,1.4968911492713868,1.038759860945055,0.8146437537457234,0.8330941470608112,0.7636049991405108,0.7672931790971396,0.7009301858538148,0.724648206879275,0.6996935643566935,0.7003757617110413,0.7768367807734152,0.7440221889860931,0.7238805058501153,0.742113260475233,0.8306115179347803,0.7950774419813983,0.7310301296572232,0.6844398405814411,0.7111040129989398,0.7135081437766179,0.7170490804575422,0.7817548941724476,0.7895310208870653,0.9961619521265762,0.7759885398580051,0.9023556165934803,0.7191482301507602,0.7407085702458741,0.7443709490953445,0.7203082515074178,0.7389644037993163,0.7710776863220901,0.816483963604235,1.1443015172051034,1.3531207067376005,0.880504447489502,1.403283739420562,1.2683165932721407,0.9425430701692488,0.8703375899250453,0.7459629683555276,0.7881060864961105,0.9035749354493384,0.7074882298076174,0.731932153597555,0.7812392456055487,0.8261625936815499,0.9069736428644296,0.8205733427083705,0.841606940611732,0.9503026886152652,0.9581883745013721,0.9883478598477259,0.955709272842673,1.1104302191602835,1.0388142297644447,1.0627182432116953,1.1876439965824004,1.2395608723472966,1.215440211664606,1.2546683425017058,1.1516809412824316,1.3656137078108106,1.078557280827355,1.0760646757700925,1.1745033308054917,1.1652497824965777,2.537670291369814,1.381987856965382,1.5909588476040026,1.2716951993240562,1.2643429265908026,1.188090976970177,1.1149793522985838,1.0727361705719667,0.9715702003209027,1.0537122720659788,0.9727240875151082,0.9747488709839969,0.8841779480965141,1.0958475009267128,0.8784539975672903,0.9312368768547894,0.8948977872542099,0.8120961941817416,0.8428317688044554,0.9895578805025937,1.1621697757658118,1.3442506568710073,1.5006272674648082,1.4778929767974371,1.3367206683964314,1.3351442770003783,1.5526295272131632,1.305240200903751,1.2546851050523058,1.489632473619665,1.546316472993576,1.313162874686316,1.3783697099737735,1.5480850534458954,1.4744228512621602,1.3572386564476773,1.4121671710733705,1.2761302329772084,1.274229887966463,1.2042009788397585,1.193999073726726,1.1566631659582858,1.0637328392350964,1.0319967613264704,1.024955305608318,1.0352236396734544,0.9293656730875602,0.965024333734531,1.0745783343896023,1.0271613895825706,0.9755101936458194,1.0784052865268192,1.1845994821735697,1.2332829774948726,1.165649689932012,1.2600113922987983,1.2565526916688057,1.3073396662264358,1.0783832304728562,0.98333529741513,0.9805261376734881,1.089673122514562,1.0797480462468505,1.1406085034549647,1.1291669672743205,0.970469115069411,0.8355675928591465,0.7592265638433279,0.7566544389126447,0.7990611652433726,0.9013232491313827,1.2738618947492213,1.7109330533239249,0.9102385983510072,1.324822204294357,1.529224215309281,1.0207205440934082,1.0718100453736157,1.6508641698935718,1.5899560283468244,1.1089900954276717,1.6631440108844981,2.5564487014551784],[1.444365614527575,0.7613734341816487,0.6450355433929865,0.46130309023696986,0.5125104059178417,0.5745667899991467,0.4873728649621525,0.5423519623887666,0.48350040968329705,0.4210143158561413,0.4566920492461482,0.5969214739630291,0.4895271562620579,0.48148171471211054,0.6222819085681129,0.608323377131606,0.614211695144069,0.7273112057734081,0.8665005747124713,0.779497552764647,0.8706110136643747,0.9001771513215994,1.015487533262056,1.2447969915520272,0.865045043912886,0.8802671271489474,0.7099893751850336,0.647360200849483,0.6418640307046413,0.607894939350085,0.7376796524106635,0.684105716555957,0.8267863546863439,0.7988615931005479,0.7404421956623816,0.6933229199269397,0.6290074714670999,0.650673991405243,0.6285973550807371,0.6104075270238354,0.7676087402586563,0.7941584538245198,0.8112682929856787,0.7780391207097748,1.3260907121401464,1.1244781692790862,1.3266834003246404,0.918609680226366,1.724917658029091,1.2191797953078558,1.2913617979656884,1.5665768223925647,1.3193514098481616,1.1922250349038435,1.9276743034656354,1.1639234240278231,1.2784383961929568,0.9691182059331266,1.2328370973568232,1.0747475742222894,1.0025170000393502,0.9105562373015218,0.8811169453178261,1.2809787277700426,0.9523051104735533,0.8594705180959089,1.0910099656063195,0.897750925136731,1.072870111273078,0.9056587733277501,1.2199469883792515,1.7298682732566326,1.1119370902132735,1.2266199916040745,0.8961498450413189,1.4054718967434114,0.843796525538959,0.8605690517699393,0.7994754057728362,0.7886853842923554,0.730923581095813,0.7342067250822788,1.3961637335095252,0.7749998009219758,0.6155390725119949,0.6070698999922102,0.6906689169417315,0.7431870433668594,0.7454865231755894,0.799740337949155,0.8007489526183947,0.886361998909946,0.8494582165139233,0.808345060958928,0.7477997131273948,0.7944195631679516,0.7536858701858704,0.7203975416434553,0.6802224349305722,1.0682479591973206,0.7362883280856017,0.8415242403634684,0.6892985177431379,0.6975872202073108,0.718761025105678,0.6686247162928642,0.7735366153506095,0.5708129525066132,0.6037817921302507,0.7340917132069857,0.5600469498186647,0.51102323383428,0.46303073512074683,0.46866241785349194,0.5122071744105996,0.5888200507105379,0.6197234764352336,0.7016132609837082,0.8285179335503539,0.8134683128003739,0.738701239192784,0.6707428995653942,0.6966404596784034,0.5309325412157967,0.4269669411020256,0.43652517295028803,0.4758843523966622,0.5017240236613638,0.47482975118804,0.5704654457579527,0.4930931855206294,0.5292605107801147,0.4875884112672927,0.655375482860714,0.5523416722546423,0.5562128126797015,0.6111738393591583,0.5193545956187827,0.5890129552879079,0.5853719685414916,0.8113484613153451,0.8981556690282293,0.733973452107688,0.6214173120135887,0.591730097799732,0.5815305671738888,0.5495830537126946,0.5367152827262448,0.531725344195513,0.5183820062188877,0.6153024617470245,0.7189242779091894,1.19603711637215,2.0253319391576956,1.4653642935079232,0.8947817514362523,0.6367924914738128,0.6413600603832432,0.5821127525938824,0.5907167394106296,0.5374117296993505,0.5899253958554611,0.5642467110218518,0.5634667901193124,0.639393025512574,0.6453458217832259,0.5825045235272743,0.6053959482896553,0.6853300570042922,0.6764245760174622,0.571758911499322,0.522800668510014,0.544330677297161,0.5524126336866227,0.5505578375907988,0.6046809962831963,0.6046196109778134,0.8274732649091414,0.595472194402252,0.7101961207240388,0.5764677133158504,0.5637446456789268,0.5684818110233665,0.5667660062024288,0.6064842819265396,0.7009658208003142,0.7478165829709436,1.1388554396240804,1.3081873355551488,0.7704043601934466,1.3914895251824724,1.1868600736969772,0.8350342238263728,0.713250329438204,0.5590731009182675,0.569277160950063,0.7302694907436352,0.5095001279892081,0.5367347838952002,0.5895303379281692,0.6436071355711556,0.7346003353554232,0.6395204504932241,0.6630632643279816,0.7977606076290401,0.8130687283306465,0.8409419690331743,0.797782848186901,0.9872248766671822,0.8956691197257969,0.900742602779677,1.0378914923340588,1.117073431755774,1.0595158011307997,1.1016250273213555,0.9827298660212175,1.2287424521522707,0.9098069442959154,0.8940100708970425,1.0057322911171247,0.9943784322404898,2.4154373276471777,1.2348968699092577,1.4895315168724426,1.1362351916140785,1.105351826000477,1.0174478917008645,0.9570757564622674,0.8953047323179159,0.77090790616402,0.8608994538686869,0.7898796074565767,0.799416599382107,0.6809935155996112,0.9203551964487395,0.6809080630782107,0.7733173984737545,0.7374658446620265,0.615228711827751,0.6901855978971403,0.8239095410808724,1.000511015069624,1.2060742318969038,1.3512526079239984,1.3564356154479247,1.194722356535162,1.199492398753319,1.4584805646343162,1.1852798286156323,1.127038343290674,1.3622867489705766,1.425238345158188,1.1942070834055114,1.2609690444866766,1.4462490256466871,1.3773578196404759,1.2457517949315562,1.291344649000464,1.1552358465471562,1.1424756462247363,1.0617737610332523,1.0465520953491037,1.0113606068133654,0.9073841548928224,0.8633428916035276,0.8526842533884453,0.8629216314751549,0.7659886361758653,0.7914642777533575,0.9135485132422857,0.8844408216269419,0.8162764016611163,0.9156685482376452,1.066696351932925,1.0877805342834295,1.0183630358790994,1.1466892159580901,1.1677507000428469,1.1369264238137282,0.9225480698859853,0.8402589236130149,0.8342635278764486,0.9587802928929815,0.9434939427537271,1.009045222733765,1.0393644442444863,0.8426793690155908,0.6929720889704826,0.5810979872033386,0.5789098196659868,0.6079276243273134,0.7320519186050326,1.1513296242196267,1.7843548767598598,0.7615118420180772,1.2236733854103394,1.4690797113699905,0.9372999610422589,0.9872509798926828,1.616232036280776,1.5408886863118643,1.0238965296081104,1.6304001523789973,2.4901805197161133],[1.3524574882179823,0.6144189740581493,0.5101375760562417,0.3415431060705573,0.388206763631081,0.4298813249578736,0.372429181173328,0.42113156540528346,0.3754617928039448,0.32017043748378493,0.3636935675997075,0.5323916850240292,0.42086661567488665,0.42317550796142206,0.5599797926791668,0.5689532191135191,0.5590803206614603,0.6773531761025839,0.8290709034663876,0.7433555738381873,0.834461167612619,0.8639165552585372,0.9878395506716969,1.2298318450211474,0.8465644295579063,0.8597179072169395,0.6830870496271427,0.6116900983055221,0.5957311619972806,0.5685721550970881,0.6979570876822766,0.6474660057735602,0.7973768528441105,0.7772966416552273,0.7101822145727748,0.659202350987225,0.6058959137640226,0.6297187683429488,0.6088604885345721,0.5821943029579297,0.7347745544091435,0.7794062747189828,0.7888007455771759,0.7564770396444879,1.4155352482348496,1.2386108604978567,1.4448698254523769,0.9476141458156985,1.6236208391113598,1.1567468190652828,1.2354930700503497,1.5001521183955604,1.2836560804994386,1.2014083268223954,1.8489095867321286,1.0740944475859138,1.2540940592169314,0.9443884201511155,1.1909612905114193,1.0807611465081883,1.0070656878443425,0.8629007908374215,0.8220616768611418,1.242560409734898,0.9273440477610015,0.8258205229104258,1.02997120530668,0.8410684543593892,1.0422425824760122,0.8481100291839409,1.1538544817477452,1.650775192045818,1.0454903486788925,1.18333548437555,0.8245259476901111,1.35515965893204,0.7811100739604449,0.8067211191416026,0.7477038270973242,0.7475360116088654,0.6940423040272239,0.7054137843884427,1.360714862300413,0.7200705469316647,0.6144340015389498,0.5875007238071394,0.6633082956154097,0.7056563812782038,0.705827838006157,0.7645859967949141,0.7489426899323571,0.8443005000492598,0.8040154510303053,0.7766418580740185,0.710976502686998,0.7511818629315438,0.6998287054130866,0.6926033007456533,0.6499800324448525,1.0329095349725177,0.6829671155806613,0.747856754826819,0.6228139056666196,0.6412699970477426,0.6131475035330323,0.5903869194124808,0.6576231156897557,0.47363856554880956,0.4722410259825918,0.630736565181738,0.4327872342569597,0.4104398494923159,0.36392149380304034,0.4220067330106598,0.46189480184974224,0.5652439054355071,0.600165139410802,0.6952332825340276,0.8205920094633499,0.7812441815096512,0.7199735369410956,0.6524759648811134,0.7020890629912019,0.5111764213252795,0.367321612782122,0.3658398347821896,0.3614999061605504,0.409396099471869,0.392591000123552,0.5010238271764411,0.40611447095020364,0.43302362106033865,0.4157410018287929,0.5890633727968099,0.48393828170185493,0.4894101008934456,0.5342997505026991,0.46344842059580216,0.5570425992765936,0.569965806741861,0.8218700761389759,0.9287871710946665,0.7509134799900611,0.6158119853248445,0.5727052238614233,0.539141435121091,0.5103162738376885,0.49480302268992377,0.46669124131897916,0.44054796087012277,0.5408606919359764,0.6749279238781347,1.1056632976001222,2.000431291567137,1.4804522972617657,0.8352090213088028,0.5762444037510501,0.5682784244407225,0.5248220443678927,0.5467766206275853,0.48309439126493325,0.5515540582995375,0.5220145468027961,0.5270152700539295,0.593028923119989,0.6405039299818165,0.5591395989516746,0.6178506679093307,0.6571043398716389,0.6535688233164081,0.5335821997022167,0.4930194344625164,0.5018228166950985,0.4953683583499451,0.5052848441150511,0.5540600466344583,0.560034541834788,0.8133869040026908,0.5712507595191655,0.6601963169764052,0.5285188543173627,0.5067635866920043,0.5206962521481262,0.5113104785567387,0.5422539313064535,0.6911393293867995,0.7507595097560941,1.165127852969987,1.3402876850671765,0.7888409143787298,1.3643895796401693,1.2181032279052477,0.811921832736555,0.6833053636548584,0.5032959289551305,0.5457943895985371,0.6717162813339685,0.41909741091455815,0.42396748426541786,0.45975097266071224,0.4901734739098878,0.6027030952819671,0.4976876267792996,0.5246072664515761,0.6458445020090695,0.6794469874867294,0.7420566115229073,0.6538431729098768,0.8467099385395158,0.7669783439681352,0.7560900481386316,0.8848191331147545,0.9851169317854697,0.9147051254694959,0.9374023945498762,0.8592419595687227,1.0727206790317343,0.7787600186193265,0.7499192757172941,0.8560122243695855,0.849757602339382,2.271290037265793,1.0898069480345143,1.3452690035370842,0.9898773681536795,0.946125635557756,0.8871527564320792,0.8222310676042577,0.7503993924965542,0.6325643144466251,0.7258308864097389,0.6673178173674245,0.6877491962980875,0.5591023274418108,0.8304483631470263,0.6052473117601124,0.6720228884965902,0.7301394515807235,0.486093380052462,0.5656777418608173,0.6927864771295804,0.8739489019813799,1.0779511171970324,1.2275015442224813,1.2341957072848342,1.0705684190649631,1.0720837779815597,1.3414705692627145,1.0702197818788342,0.9934907376949565,1.2119323611226995,1.282675755287943,1.0453074293609586,1.096101207872565,1.2759052525654015,1.2366925938371096,1.0830696656774979,1.1200569330273837,0.9859676083615644,0.9687322584451028,0.9037842566002992,0.8813900612802016,0.836088636599578,0.7494351666930492,0.7104161792929004,0.6951560290481551,0.7182666637497276,0.6255632248475356,0.6551147889780482,0.8277151277545783,0.782423539565118,0.7177934696626507,0.8524148412666466,1.0154631459965406,1.0329816438706547,0.9379972537240131,1.08619749914664,1.0722287492185492,1.0001356172706652,0.8200845735283822,0.713652396891984,0.6983790016004279,0.8512983826773216,0.840334876936937,0.9346151799908926,0.9673899276203441,0.7499046354221995,0.5872940772653783,0.46272560981430333,0.47369495793119093,0.48794847100750716,0.6011945866929468,1.0299814217726444,1.7571671343801307,0.6687205353360314,1.1303989156885959,1.4045903248330271,0.9229025392715039,0.9497236635861215,1.5387250854268253,1.4445422298024055,0.9033099633700433,1.586872684944141,2.3943294249340323],[1.3089934705605457,0.6141258799278847,0.49490558866998535,0.3290163934966715,0.37809968767974295,0.4036008370502052,0.35764379970314014,0.3759616727181904,0.342673885536721,0.30874748543916497,0.3413962967793687,0.4742864340398568,0.38615364156369386,0.4074635254159956,0.5243070280292093,0.5193128984322998,0.5304493563368737,0.6371483312937527,0.7659221859213153,0.679607142083332,0.7503001820652595,0.8047708981796828,0.8916197956853399,1.1296614497300437,0.7773486894448945,0.8007579874719231,0.631733837095696,0.5678779831960374,0.5518606395838489,0.5205952684833488,0.6301748103370648,0.5756724315536837,0.6931102750686358,0.6724753340389797,0.6195065402712598,0.5896046907351331,0.5361101822695543,0.577189889961351,0.5612815821562787,0.529617377074154,0.7020090999464245,0.7303542197652999,0.7322130874057768,0.7113509238941819,1.287671164060074,1.104418332276641,1.2663160028989002,0.847353899300193,1.6550533698465941,1.1813312054360452,1.1699606772753706,1.488643601369266,1.2517180356201827,1.1571825393234116,1.792257618139788,1.0260088630718727,1.2132109907685698,0.8707709867134326,1.1435730565701672,1.0426678344477136,0.9342769624521403,0.7737314578700479,0.7262427860203947,1.1137351268142837,0.8181156611799011,0.7388269252959208,0.9388284562025124,0.7673004352459042,0.9629306104621799,0.7859080494970013,1.0951225886504319,1.58401947052018,0.9777984796134582,1.0800177058212077,0.7511164078821636,1.2845315426655322,0.6893842783581586,0.7041533610556554,0.6518504046434599,0.6615807215763619,0.6206776177836562,0.6517004562493629,1.3088416784319583,0.6525861903158143,0.5916449750047101,0.5435834907845236,0.5961223798606177,0.6284251000467108,0.6206526140430506,0.6656612701051334,0.6662066211699856,0.759592591243136,0.7215551645833769,0.6742517076665743,0.6352523815859381,0.6815825849053659,0.6504308230343834,0.6173766241236663,0.5818250140302303,0.9407137773076315,0.5971255032276371,0.6677809081144603,0.5533083929242618,0.5847934765142618,0.5604193554341267,0.5509150504566107,0.6068214398289922,0.4416388678924181,0.44182315098371666,0.602048863915498,0.40164943449274326,0.3914738667813498,0.3433468840125852,0.40374349420265865,0.4429506969736255,0.5402288549505554,0.5633602283626713,0.6480266996642443,0.7511504075855948,0.7405570128690084,0.6697149456550988,0.6187636544928232,0.6644518005423586,0.494033289285207,0.35779553747441684,0.35650279734975515,0.3505111130978853,0.3997200910501751,0.3796508079359251,0.4811129908163057,0.39891660433449133,0.4152686065953649,0.40191233230552664,0.5526785179109756,0.4731272306166039,0.4829295307627846,0.5318107094132727,0.4520230781939142,0.5396912075465351,0.5446976737838246,0.7826524860904693,0.8533368264110709,0.6923087024396203,0.5780955008521017,0.5276710365017476,0.5026308391313612,0.48261106717938845,0.4661661612392171,0.4366273789025698,0.4172981705368108,0.5036648956467012,0.6386293567187813,1.0346305095036497,1.9354212121290293,1.4688310748894846,0.7442520656896733,0.5130249254353078,0.5054183084869438,0.4776558266931284,0.5028411526409523,0.4581471084373582,0.5122670426946389,0.49506521764137734,0.4954261314140598,0.558678160907327,0.6119070250325677,0.5312524386491723,0.5873150287655597,0.6394153130153197,0.634547099285511,0.5190339425092262,0.47198991113530353,0.47702461043005356,0.46720310864079634,0.4616004234736885,0.5032447016897242,0.5028819982832725,0.7453253294096942,0.5094742136091599,0.6011676818759989,0.49153510664994066,0.4719032620855093,0.4919484405876275,0.48531350966913583,0.5191460503867653,0.6687964041529478,0.7485159035914419,1.1509369089157615,1.3425206730894697,0.7863816327587729,1.3381277972014636,1.2071187568293715,0.7997158190475485,0.6705494358092356,0.49423430251904565,0.5500667422734852,0.6720775163845611,0.4142739143889751,0.4088119634703445,0.4384402528544487,0.4563667032094455,0.5676244972724153,0.46598670796905195,0.48768685621220237,0.5978114449019198,0.638095871624279,0.7000833835294793,0.6016624276374701,0.7842892167306978,0.7130973559481916,0.6948612641104132,0.8114639035164506,0.921973639635657,0.8744525114594801,0.8639163502954976,0.7958935035197894,0.9956309800403026,0.7176822742111924,0.6962050248167745,0.7927751127635528,0.8009813514343369,2.2636412158041463,1.051304352414768,1.2740766181742886,0.9361517771008238,0.8918110330125864,0.8395485208632719,0.7782447323847763,0.7140826144516896,0.5999253700282488,0.6867414626273068,0.6322530472705122,0.6570014657685452,0.5277891073496116,0.814708981871998,0.5922424876999319,0.6548449135511472,0.7353315126403716,0.4621854967154666,0.5349024700253391,0.6616714099888027,0.8281272899988608,1.0259335889447587,1.1608016640154535,1.1766543020478253,1.0183539022757049,1.0170464671367931,1.2773187624660411,1.0131271383027893,0.9398455546686971,1.1417988768697982,1.2161932194190497,0.9844857945060193,1.0199900702064562,1.1833854258269845,1.1610426847159534,1.003331594931088,1.0329188614850089,0.9043144017953704,0.8853876067531232,0.8323322606089582,0.8143310283419586,0.7588277815000639,0.6871063021525309,0.6582026422392167,0.6391864065218349,0.6651266261811745,0.5834169769116538,0.6100137686921923,0.7807361186933894,0.7421556976942886,0.6934799227115783,0.84034898818518,0.9947240654062008,1.0053516101652094,0.8895103342833758,1.0591152917692335,1.0626804672519812,0.9312694518773146,0.7624780312822071,0.6600870977216942,0.6496484997468993,0.8020966538839719,0.8010031529330467,0.8971384417745768,0.940513933685606,0.7171932799986976,0.5684505077144684,0.445633794105252,0.4632193377486633,0.4690734740212131,0.5559220887087769,0.9768090697145939,1.7095836337148789,0.6497250350635603,1.1117936074957477,1.416788971908941,0.9343144601111804,0.9566069883971656,1.5067713200354549,1.3685926629755205,0.9515285129999714,1.6897610396437788,2.512951879144201],[1.3056585461081749,0.6479340353779698,0.5452649675036267,0.38516112141468745,0.435746225685102,0.4706762195234609,0.44836920518498874,0.4966739232573983,0.4612343424747256,0.3894669179522038,0.4297145627828123,0.5967268978139434,0.47056714580662284,0.44786844471905884,0.5745358938817058,0.5874082090331205,0.5736427944989102,0.6880843287909061,0.8307300309387111,0.7410580687592284,0.8284375518105319,0.860646117277283,0.9630423065328877,1.2065092166512914,0.8375119027503175,0.8538834420903932,0.6920598305477569,0.6275163504170729,0.6067495987124645,0.5894989620877525,0.6876651918041489,0.6513211793952194,0.7837879906957619,0.7437667379326754,0.68854318951598,0.6516890704261258,0.6158883022013315,0.6411295118920484,0.6267776464451995,0.6009653250545,0.7552332958633518,0.775064121263888,0.7816449141885276,0.764303745496867,1.3746005692245933,1.1844416680938366,1.37334012826361,0.9357662486535064,1.6581976203223812,1.1537582196062557,1.2725153072774977,1.529041474668745,1.299235439288051,1.227896953821491,1.8353535071078455,1.0745019553398931,1.2784752495701914,0.9333491885067745,1.1592231775093893,1.0715274964153292,0.9779621159559393,0.822356412475366,0.7847805324079024,1.189325613051839,0.8837143506135354,0.7962310174665407,1.0313751003600498,0.841444135894811,1.0325765930447304,0.8539941276205026,1.177098225225062,1.7016672251825629,1.052271698815674,1.150975625330504,0.8063672521683102,1.3084592521442542,0.7469741271810669,0.7612411262843277,0.7097575591040992,0.7175979160726581,0.69187978598822,0.7148970568345423,1.3443750443839069,0.7323139930011291,0.6268604477379547,0.5941555477631303,0.66142766231682,0.6981621806123771,0.6859899643814525,0.7301238343808734,0.7181529581862229,0.7989303437559973,0.7647745675549322,0.7394956373545387,0.6982749207911146,0.7296008191928273,0.6903014826623093,0.7079837930653183,0.6999926442415795,1.0824881052337345,0.7221868217043854,0.7847549773777237,0.6580358571953127,0.6873902894229388,0.6422279610870344,0.6483311897243605,0.716837764795016,0.543657612299326,0.5251180956559673,0.675540639404535,0.5015747855940792,0.48170147437618194,0.43211228151613956,0.47258738623219915,0.5014188111269997,0.5966273734561356,0.625970038570492,0.6952796535703363,0.8097918747913512,0.8043757067490616,0.7185382952760438,0.657437448541119,0.6876527653242999,0.5298685288924472,0.4099900827692596,0.4174338641142099,0.4202333171042079,0.4570539755443567,0.4592693115306789,0.5633030810820601,0.46699996512059516,0.4973442160762362,0.47362228049018623,0.634972594732832,0.524038354032575,0.5202234455649868,0.5663166800297719,0.4919484899119455,0.5554867612664033,0.5782341397655253,0.7819223879574421,0.8884031333878595,0.7474252554450188,0.6323712300322067,0.5968819264397304,0.568349617827834,0.5473426640249778,0.5393351353510363,0.535291983202244,0.5072895577741118,0.6197012277127506,0.7513938838129007,1.0990772455022548,1.996986762249595,1.5438177524701486,0.8897617687751311,0.6348715356952543,0.6184052826901629,0.5727016877559029,0.6029791451626912,0.5391204858009389,0.593752404383426,0.5584791549778296,0.5592315227752406,0.6163113988067856,0.6650601479977922,0.5853409964075286,0.6302324545993845,0.6519897973361279,0.6694589623908294,0.5531090393465053,0.518907763758986,0.5472194887479586,0.5478673105697568,0.5592247566977496,0.599771246605579,0.6026574260233291,0.8341162544126562,0.5984234140360233,0.6897646914345086,0.5849436318820399,0.5638012959092753,0.5792429102860112,0.57248331851201,0.5963764867683926,0.6965195302631187,0.7486528506484224,1.1469727097598534,1.3313192485816256,0.788230024808291,1.3823139187331144,1.2520969938988549,0.8360332895313145,0.6996401810359254,0.547058876176243,0.5553998909313413,0.7178285913020142,0.4821111157368015,0.4685140593339023,0.5153902092706485,0.5370107699179196,0.6543556287692783,0.5420596710852916,0.5351904035423778,0.6533856150168508,0.6922851984395498,0.7189160377271282,0.6383026106081598,0.838647233860712,0.7551792069309213,0.7252428776354632,0.8407524625278798,0.9549298266970064,0.9154855190666755,0.8765039507783654,0.8079165092829528,1.0306532541610713,0.7244983246947416,0.7013989983966852,0.8105103194497464,0.813257441060788,2.3064174337316814,1.1044721397745065,1.331740811561775,1.0359186773275255,0.9810767043575709,0.9258426471079764,0.8801337479940528,0.7410770961373719,0.6499071324829528,0.7835683110616187,0.7233046356354799,0.6801651552125844,0.5802275844802043,0.8692525459836992,0.6038707207777593,0.6602580724658507,0.7346694290103036,0.5086614213025135,0.6061427925278344,0.7587756928537853,0.9306271985206305,1.1220515493599,1.2249628533655275,1.2481679324559805,1.1075446248629637,1.0968930105574375,1.3486096631107798,1.0800934890556795,1.0071505647522858,1.2125003491853665,1.2729767884726069,1.0387139065749231,1.0841959255774496,1.2443176095319384,1.2012668156409243,1.0534507826991393,1.0803994841079245,0.9524057699898434,0.9488632168237348,0.9052567442835916,0.8868774370235675,0.8098723882056095,0.7351825089771843,0.713059198160311,0.6828243035424123,0.6984462055964071,0.6224319709028431,0.6432655319095076,0.7782405534578253,0.7521884582222147,0.7121571383322705,0.8652063735174048,1.0302736707025366,1.025767035229456,0.8894174868145442,1.0607691171914733,1.089036838131253,0.8944155716946537,0.7573256148964631,0.6718989007299417,0.6764370270430231,0.8055025309469052,0.7882305551041794,0.8807992490905401,0.9250996889813633,0.7223522450462971,0.5969400059591099,0.49777938288664,0.5214943819631372,0.5503004926769823,0.62789657514136,1.0216981203442832,1.754551355965626,0.7182109978451722,1.1466119850483005,1.4569652307296406,0.9770714209952286,1.020150937622381,1.5450325505981963,1.4027112438939269,1.148071068804087,1.8829693027942906,2.7166738474295986],[1.289883615130357,0.7111928571314912,0.6398866371203502,0.4921208462793203,0.516982863875386,0.556804114286434,0.5219179346578484,0.5451754027636447,0.5274096140464869,0.4438509980912159,0.45029225889806856,0.5438242175275624,0.45565059139213954,0.4851272652291164,0.5909867616193564,0.5732000623392247,0.6002428271333132,0.6976080478087759,0.8234436541938126,0.7391457448409742,0.7982923834813703,0.8469318509718344,0.9118793856618416,1.1240258826735527,0.819852248660025,0.8472719680300651,0.6974445477674995,0.6429144802390473,0.6203197644572798,0.567268865004887,0.6453162699298446,0.5865199172983713,0.662844216798038,0.639175289016286,0.6048701157610656,0.6056820729583028,0.577866347544742,0.6313935032683484,0.6194756882703739,0.5954204369725443,0.7596644273467451,0.780155641035992,0.7593890138804668,0.770507699501055,1.2374270620705472,1.0502208548260636,1.1811990799445777,0.8434739203283563,1.733564316794967,1.2313436991575915,1.1846205249261677,1.5020699658010916,1.2375652238741552,1.1278476198242489,1.7781341354044333,1.0332890526893834,1.197407326642475,0.8750067951457816,1.2044147835994787,1.0311066327912173,0.9211900369842643,0.7490506550884442,0.7262467982965622,1.079882533180941,0.8104927488798852,0.7354748304352566,0.9533949559599963,0.8052199013399997,0.9747813029194122,0.8340504264586509,1.1183637348655315,1.5932299180818827,0.9882705243517164,1.070373737114284,0.7790163589399517,1.2580226573945583,0.7127298097344702,0.6880215933092353,0.6538818280319607,0.6598756953015136,0.6303535571585098,0.6857571010318552,1.3310570558431496,0.6933494850092242,0.6366566528015123,0.595747456937,0.6434079598977981,0.6335900687219562,0.641131793504049,0.6607382981187907,0.6729825916693187,0.7430556141095209,0.710996708698264,0.6303219556473499,0.6202276781350404,0.6427443271777535,0.6438221709960005,0.6086340973413603,0.5986055924133119,0.9700045550148532,0.6112421040002238,0.6788901362701213,0.5879423853506984,0.6293909861206036,0.6053001906237091,0.6203165211099442,0.6853427147058639,0.553780763074411,0.5455191781485599,0.6587279510945645,0.5381577250543976,0.5036608057770461,0.45745331703871117,0.48328060828390723,0.5285779783453491,0.5907349754218236,0.6290246445108312,0.694523533688764,0.810703054701685,0.7879228986765054,0.7281333890921229,0.6776928864064217,0.7171337137758832,0.5348950687076383,0.44589541109416264,0.444770468815077,0.4766081443618295,0.49999418643094967,0.4977436463277044,0.5761196118504582,0.5033192619684334,0.5343041191601176,0.5219167628690349,0.6285809341907526,0.5852224953602518,0.5784384456341258,0.6021900146793252,0.5235134844772149,0.5888829739019866,0.5907343240862808,0.789607978077456,0.8271360040676885,0.7162597208821958,0.6381680512333205,0.600063632845841,0.5786570796960829,0.5575935722600863,0.5475456668951968,0.5283533874476288,0.5273642796093408,0.628793162144326,0.7687588797673895,1.0497217142588477,1.8720941979330268,1.552675610964883,0.8081004794208424,0.5733677682995987,0.5718747430312042,0.5285986646131711,0.5805500009483866,0.5318866981482536,0.5820260367451008,0.5608035069903271,0.5638167780934764,0.6164398033540596,0.6623692228663582,0.6058861357394146,0.642348796197607,0.6754869395540873,0.688177961718037,0.604322647866177,0.5447705510338715,0.5517983007035954,0.5401295017521082,0.5318833637286784,0.569505660961783,0.5638829754868228,0.7951052895256097,0.5673224080872882,0.6591370747496269,0.5635340493978288,0.5551703526307094,0.5771638304508706,0.5819786012897794,0.6109124276802081,0.7189471317133626,0.7847664012247955,1.1509255800512534,1.3657947477224817,0.8260975217493879,1.3798281945991246,1.2633639936601115,0.8648293418704597,0.7412577320302604,0.5977299921101088,0.6129504264728675,0.7638551942993329,0.536540012673392,0.5260012001991716,0.5711976899694209,0.6042840165147425,0.7255419891528647,0.6196890193052249,0.6159483070685471,0.722372340551481,0.766635912998782,0.7638302806721349,0.7097954022766086,0.896141553543136,0.8250473348494115,0.7928247707774416,0.894884608634878,1.0039479590230949,0.9830916805740801,0.9237456544832787,0.8687575983024196,1.0703627274233356,0.7788248020063573,0.780248974802959,0.8750011495627602,0.8823738082215875,2.363058763042314,1.172278047877804,1.3164344235212693,1.0775767116417467,1.0338206374416865,0.970991639032675,0.9005963726948301,0.7978237400508738,0.709705571909652,0.8022791394602381,0.7279025817117761,0.7106720709414386,0.6178827364117823,0.9041575952487073,0.6478157008926128,0.6875691728748697,0.7790793616782451,0.5672700705585724,0.6602761271491749,0.7930916345786856,0.9528273762498248,1.1370567389971036,1.2088649260616975,1.23691474000464,1.1238600371340886,1.1334023289473236,1.3909549666355725,1.1146454266691588,1.0391958210994852,1.214653810935006,1.2720358543872128,1.0675630753788588,1.1026816190114113,1.231019398789627,1.2083571074657236,1.0850151712300549,1.0987957584058867,0.9958863532949335,0.9784091512944371,0.9344207133248427,0.9351310338605939,0.8589329295778441,0.8026014057889539,0.762798081040663,0.75744708341882,0.7857178199998609,0.6912254694156644,0.6978387263159362,0.8122460146965276,0.7952271788677122,0.7564519249447671,0.9283040147317693,1.069838948891261,1.0524305392800222,0.9055311021666517,1.078175678271193,1.0870721201396454,0.8879870315267981,0.7561407772380776,0.7118572562611968,0.736064799746879,0.8339939003424209,0.7966344544505601,0.8755623329358824,0.9433168806628632,0.7658590935866988,0.6566291224893849,0.5508251376075631,0.5691083674151132,0.6341827379309782,0.6851860174577189,1.0345811349684049,1.7316928387145047,0.794079922353602,1.194552380010709,1.5246150524460083,1.0675823526019745,1.0901744541530316,1.5585207274784256,1.3657879060621725,1.3415222807543994,2.10076501630325,3.076812598358116],[1.2648640596964782,0.6201058617398687,0.5082783607021387,0.40149629875127324,0.4163048315394972,0.4297691959687314,0.4043788885925262,0.3941362055295821,0.38051440536998127,0.3338644290213929,0.37128503505648713,0.48771832953857464,0.39671963046355224,0.4213666292301483,0.4989549645700726,0.5015171233368256,0.5104356129486716,0.6403089174194974,0.776007005009278,0.6975359919409021,0.7664189795903759,0.8222726099668534,0.9232115425150356,1.1469816362277006,0.8142482037913161,0.8240165487367476,0.65985084172432,0.5638432727646397,0.543050390957559,0.5296661650976012,0.6247840024358398,0.5646259462655916,0.6633450133127633,0.664973792358242,0.591932848528391,0.6037485508983761,0.5420292676351512,0.6005179422616437,0.583850555105988,0.5567855935557712,0.7158336107251712,0.7627822138749363,0.7590691932211745,0.7248162728221013,1.4231475989996605,1.3123533989320753,1.4979586738273265,0.9335857733336531,1.5161158506819183,1.1501867089724616,1.1346779691296365,1.4857841645221088,1.278109245861441,1.2754289113722082,1.7237686514225101,0.9654011621610019,1.2289434785746296,0.9190394911395829,1.125048719483132,1.1396377154513466,1.0270071674744101,0.8160381130584874,0.7328200504301366,1.148577073721602,0.8674052192590518,0.7641927183253507,0.9154626572883671,0.7628784079551911,0.9860908974290037,0.7858997840426749,1.0516541015836285,1.4546175635312262,0.9648287657539515,1.0990574517378404,0.7640999821597839,1.289725912269148,0.7085868928192042,0.7046693109764164,0.6565565335236552,0.6735907815244685,0.6287537372418831,0.6689254030615949,1.2562845306634527,0.5941904996733106,0.6446442090878974,0.5617710762940925,0.609570658087607,0.625695221764093,0.6409554866587666,0.6675807521544322,0.6792056024842429,0.7844643533541732,0.7393710664061233,0.6652224394646956,0.6264454842298627,0.6792288030244038,0.6179636350038152,0.6082207900843027,0.5694604137397441,0.9170183597262832,0.5762908420378574,0.6271552181391965,0.5270089234488979,0.5531427600443616,0.5231955315452688,0.522344625725955,0.5872537208226792,0.4284237389858195,0.4288394353640437,0.6022816019163745,0.39939076064038787,0.38920076997571823,0.37140614187139714,0.4079051155626796,0.4241555834568167,0.5372077919840915,0.5565213608674896,0.6269998969924105,0.7427226426480226,0.7311930908208051,0.6576031689842121,0.594637880264864,0.6464939522181374,0.4921913624134207,0.3725126078523009,0.3864447302722193,0.36476607898167296,0.3992480327987476,0.39591387319438903,0.47002565997819934,0.4058708516573582,0.4229462081891501,0.4280668527925118,0.5066029578654435,0.49337951135816904,0.5097219467432152,0.5445730904668227,0.45573820835836115,0.5181552526966463,0.5443781910863599,0.7718264865893545,0.9057089353862129,0.7231604533082102,0.5701617852252853,0.5353845782794698,0.49517771577470976,0.4666883102936712,0.4623609950027623,0.43008864954563486,0.4187504691870081,0.49739968485222086,0.67160593202739,0.9907806856049769,1.86794147175598,1.5139258417264674,0.7377809953756416,0.5153184334594499,0.48840906149562396,0.47013449630734955,0.4860156777918631,0.4556313632287123,0.5040000866421744,0.4850538113106754,0.4859824607645831,0.548836545332194,0.635631084994618,0.5672877022523599,0.6283161014037985,0.6726716915282124,0.6732040111325235,0.5446615517828162,0.4890321977020084,0.4730861589197729,0.4510999187239067,0.4593554038519281,0.5030543492811498,0.5156546863597942,0.7348642457838451,0.5061673634555004,0.5644767189294451,0.4932570011404661,0.44394643895073643,0.4790435812933154,0.48216870563005776,0.525408739965404,0.686183512802934,0.7664001827202558,1.1838372062580367,1.4151429852006225,0.876078791456367,1.2707539595839332,1.3698462358316146,0.9031768536667956,0.7490968209805836,0.5534247409474524,0.6187204191102862,0.6760831729151134,0.4450235528899884,0.4362143288345391,0.4405078319528843,0.4344845050292863,0.5316183491394748,0.4587812382272159,0.4768326296072427,0.5490186623874538,0.6027731587684245,0.6859192206440814,0.574629080076665,0.7166682597971982,0.6697632133711559,0.6561867442471836,0.7533726688580051,0.871754775264576,0.8405336557187092,0.822465869326102,0.7722603282726413,0.9351731101126428,0.7110735241526456,0.690421442172015,0.7582076557084684,0.7495393226906925,2.1322015844139743,1.0073021397321598,1.20092790877601,0.9058890914599727,0.8076888802848137,0.7546686287398254,0.7117023035342377,0.655516938385151,0.5453895676329715,0.6149785379523418,0.5943538123288667,0.6158435953111473,0.49101928799727046,0.762832375404734,0.6363020378347817,0.7002319465624592,0.7751497822463196,0.4570940109805504,0.5440750643451417,0.6140842752823371,0.7291748334204096,0.9383980005308638,1.0339846653150038,1.0848061481923366,0.919181559366652,0.923509934619199,1.1832292770986668,0.9381352596357169,0.8679364901875222,1.047356456934884,1.1337932401008612,0.910329794123081,0.9230819537775773,1.0709112945966286,1.0883394775226911,0.9260126492294484,0.9391105726035784,0.8225227634246881,0.7783315393024075,0.7307559442630741,0.7258217319022444,0.6715866375641728,0.6289852563278764,0.591686972799277,0.6051304397151723,0.6573585054716541,0.5808417725744094,0.6067296089003854,0.7906474202699494,0.7453465023026694,0.7195629225944884,0.9080733733044726,1.0741417310775612,1.0434869353659242,0.904512353126676,1.145208091802669,1.1231659203518665,0.8844899004498354,0.762693834730142,0.6429173422717736,0.6278258241065854,0.7895768042038876,0.7853625136999547,0.9195134528134519,0.954870094876554,0.7226167237411084,0.5709663436148977,0.4426626562587664,0.467222368837565,0.49049683640659875,0.5377116563050619,0.9002865915392504,1.6940970053509998,0.6607520103034892,1.0746049403741043,1.394173876604423,0.9517299278946659,0.9916573647533199,1.4451750859282941,1.3105367419176535,0.9842417465559928,1.697177600906249,2.6080075146482176],[1.1882439525322885,0.5855971110458811,0.45421409245754024,0.359848960355796,0.37433152453588237,0.3891193506796665,0.36621438640649884,0.35344340243998407,0.3437361255204581,0.30528542368006134,0.3418436479168636,0.45390494069990495,0.366200529291807,0.40498772925108084,0.47101571371351,0.47031814002742967,0.5302748088949139,0.6473875155665941,0.787842902883193,0.705730019334303,0.7734868981474707,0.8477363789115047,0.9371314067516782,1.1468953127521002,0.8506558339687421,0.8514948695717451,0.6937474862954505,0.575007105710595,0.5491389100329422,0.5180273935293184,0.5962092192785383,0.518667914388094,0.5995437589666192,0.6182173711043919,0.5524991996999061,0.5945052695379903,0.5208675297936709,0.6163107088090892,0.6047736016290802,0.5859733663073121,0.751767131688988,0.7919529082788961,0.7847481102923464,0.7559849526401513,1.4176853459042555,1.349991084841055,1.52325690107855,0.949978816940774,1.5257375477593218,1.225538934846298,1.0919554100357107,1.503674975949867,1.2721085219841044,1.3309915007538093,1.6360891856317188,0.9046242170659835,1.1826241307409338,0.9026505673726818,1.1013574065208476,1.1748029061447731,1.0234899479684973,0.8025251305851137,0.7053081165418295,1.0856606850235546,0.8481013524983014,0.7690333156721227,0.868276642383109,0.7368201547731398,0.9662825249076799,0.7749098134385353,1.0163501452042267,1.3350500428388785,0.9230717835213385,1.0653611245505237,0.7447948018720362,1.2196096326289223,0.6852693689474622,0.6677797919228434,0.6362702796738878,0.6504961167722034,0.6250153174000131,0.6650264356167611,1.2020732203787834,0.5684326867180773,0.7007797904647639,0.5799625864243451,0.6043679805471501,0.6156376505667699,0.6229094831925059,0.625937706951037,0.6486037069540813,0.7665496522874922,0.7175123431491491,0.613393848336142,0.5850796163761545,0.65195309014844,0.5912928796820992,0.5540728704476536,0.5235766402795063,0.8338230877447191,0.5247193617915448,0.5702892850632828,0.4854207935676267,0.5251227971974112,0.49301423470185346,0.48336373662790894,0.5349148728421004,0.40468533310067867,0.3864079344726981,0.5819942421324779,0.3408848476517993,0.3612561754382053,0.34175396003853004,0.38042299839256954,0.40771940196768003,0.5295354308027714,0.5553721124604736,0.6320237128873928,0.7417613306096255,0.7221960842884361,0.6697360437984508,0.5917238438037999,0.6602747482496101,0.4770636628879957,0.34790351772355566,0.37799068624517573,0.33027538822897323,0.3672230287811202,0.3668346141243683,0.4493030692649727,0.3790276569316006,0.38320444274956655,0.4364605907537142,0.473941651262311,0.5046307969510941,0.5287723464938062,0.5418073525808818,0.4532685740719289,0.5238188358296555,0.5578640749001628,0.7901649293145998,0.921897358171849,0.7262451335427645,0.5814822877118268,0.5448815285583698,0.5071448430465724,0.46567384570508913,0.4462309093957263,0.3926749407817735,0.3986968669167708,0.4571785396362632,0.6340842981072814,0.9166936515567032,1.8068475890249078,1.479070914787522,0.6726781264032949,0.47161242863825503,0.44110589187298876,0.43064126697099536,0.445458420406549,0.4262600546398956,0.4920089707996824,0.49152726018289394,0.4954876737144462,0.5604216944479057,0.6511527815680797,0.593875982939521,0.6635719541978646,0.6936712634202565,0.6901263894363682,0.5624798222186231,0.497280088721144,0.47420321362407825,0.4509674316913652,0.44234320224315493,0.49374264013570573,0.503744666134455,0.6975369199016722,0.4940435337877934,0.5360290752134608,0.4934856128695709,0.4273226740275929,0.47678918768769557,0.4892978341116233,0.5381961837115807,0.7060018573779552,0.8103156493077879,1.2170320359815836,1.4842056270949178,0.9568004044123376,1.2401083755581868,1.461481211790732,0.9691770819400408,0.8016906962136677,0.5999813460438075,0.6782692874806805,0.6512881960296607,0.4166158353391633,0.3906293937922794,0.39873416077401286,0.37875126077297516,0.47862961156714395,0.4042171311371066,0.40676146783867256,0.4816757231623757,0.5494227201176882,0.6142240889507221,0.5026252311389321,0.6439105413469535,0.6035379490262595,0.5699804613794706,0.6680447966817123,0.8071226289649177,0.7666935520768773,0.7370130219846291,0.6743994619743742,0.880345314760941,0.6142755238242081,0.5975288123135181,0.6646060328761015,0.6571039052352257,1.9821204973576187,0.9535455843869729,1.198607990272504,0.8688221506948042,0.7356408812402069,0.6833721233359136,0.6443407615812855,0.6081269531483338,0.4996594867076858,0.5649414937672528,0.575298240278165,0.588891132422646,0.4531638605806008,0.7241958392471541,0.6358146653243152,0.69144609255562,0.7493255136556062,0.4065102045386574,0.49543099609263985,0.5714967999244603,0.6651715306642842,0.8866737506645115,0.9673206442707339,1.044634659646666,0.8655826815954974,0.8598548504784088,1.1014364352000061,0.885649855691081,0.8021791643031445,0.9711542224952826,1.068765643768169,0.8565519742399591,0.8579484893184501,1.0081525954578,1.0501678333392104,0.8643025011603954,0.8693582378058112,0.7485511529861593,0.7055455780130424,0.6550627122368241,0.6647496870597812,0.5892002024264226,0.5463627969295224,0.5189002741881349,0.5240621715806157,0.5770679941152312,0.5242735232916129,0.5610003111786313,0.7551258009250217,0.6836363623453381,0.6752376762545012,0.8702536909213275,1.0373202043759244,0.9756590874808883,0.8275933130751484,1.1308481847603102,1.1328056135992015,0.7969510494803476,0.675785890865315,0.5558989407925887,0.5323850217395777,0.7090951163180419,0.7009872067941192,0.8548022229464217,0.9316188097374924,0.6684681855316711,0.5151250612713342,0.39364507836897417,0.408775475911894,0.4481208171592059,0.48516119430670507,0.8431876036565666,1.702230219753419,0.6476862476810868,1.0451219845571154,1.3871569564015855,0.9211621639638693,0.9724602176415926,1.4095228378009121,1.3038893691096651,1.0734428595181134,1.6883933776603899,2.715521265261731],[1.1065818391243516,0.605153082511074,0.4537106344359097,0.39022773019446366,0.4921508632870394,0.43741114123018665,0.4873630002294312,0.4986280874163244,0.4934306808347349,0.5571187679415887,0.6124910766905447,0.6873902658574403,0.6784880665100167,0.6915814673377172,0.7975577139041755,0.8018493110486273,0.8557644895160486,0.9121002118808831,1.018319258354559,0.9727530776917668,1.0485388221663579,1.1066748574920888,1.176176238471794,1.3817112790521655,1.142677370757397,1.1118890232694219,0.9964874613938176,0.8662825626049387,0.8648066116521739,0.840184837435694,0.8889448973105559,0.837446908753312,0.8682583169768753,0.9274613904394562,0.8634781728962098,0.89194972235212,0.8489992688672259,0.9217597579331521,0.9241193424415004,0.9264674942223531,1.0100770218380335,1.0635208994099592,1.065840411635662,1.0313315681874264,1.7438052074787718,1.7862133791254973,2.0072783980076623,1.3092387140131942,1.516201560160499,1.4442450016832495,1.3296398076482947,1.70003006328417,1.4964989359963934,1.6650240749324026,1.6489523480309973,1.0513074269343292,1.2757237933205532,1.1552278262398032,1.2879872999055397,1.4313181226579106,1.2371122183831853,1.004078985650574,0.929557233039779,1.2585615409177975,1.0929690682815811,1.0115864167411721,1.0380212268219016,0.9729608127405494,1.1366380610140583,0.9807018083043278,1.0744035754502432,1.21819961532757,1.0485747115992416,1.1852936637807354,0.9771862328934011,1.3395454831154185,0.9567676117611745,0.9420651002460265,0.9236544469657962,0.9295843190194767,0.9264554660458282,0.9753530213132565,1.3114199478160078,0.8488663267750802,1.0164570947049585,0.8996932520248843,0.9145398736897736,0.9453320889160971,0.9149306768222438,0.9173374798751031,0.9273016540563888,1.009248043701438,0.9990315163826803,0.9124603893725655,0.8942143997378783,0.9369367567809049,0.8840758395430094,0.8581245589037412,0.8080331361659656,0.9938669466089823,0.8302538563074108,0.7577240445020881,0.7935709006593022,0.7552611860824978,0.731632863031365,0.6811152787916392,0.7080479369346918,0.6289512702735099,0.5583704014672135,0.7163681555113843,0.5001876602062129,0.5777481537530718,0.5538314245081566,0.6036554045053208,0.6720922547493656,0.7276623025581185,0.8037770410948467,0.8394852962234548,0.9716986085143668,0.9280749791205083,0.8720408404291828,0.7874399626257608,0.8273488127173222,0.6498701964093997,0.5391601638943906,0.5831853920059026,0.4923919693411065,0.5664409031270803,0.5739035339943792,0.6791475722193397,0.6186655788884735,0.6291644974083921,0.7084824768750243,0.7081084400754605,0.7507305574345826,0.7628665085798867,0.7401327652667783,0.6823293805504239,0.735011511085907,0.7972124922705413,0.9925895852355909,1.1662900969139873,0.9457408703991724,0.8235834377747955,0.8337156094278952,0.8111921863645201,0.7392905804327079,0.7188409563566512,0.6525486478998596,0.6079070408852186,0.6127553395207403,0.7659044954155525,0.9884770307169949,1.807279582793212,1.5408768622565117,0.8315818247207823,0.7213520243906066,0.6736413228037308,0.7185721947464325,0.677327954483618,0.7031959220098618,0.7866011776481208,0.7644035609367785,0.805916049568759,0.8321212846006016,0.8985323821511216,0.8575680146593033,0.9568823995360385,0.9109888094087055,0.9175061970323254,0.7955900704677303,0.742035279500276,0.7519949871901754,0.7378653745077118,0.7541163076762979,0.808538368679881,0.8206464133477414,0.9611941045227579,0.8108415541430016,0.8265727544851308,0.7720446328594411,0.7121237465244558,0.7663626262796877,0.7847565910446609,0.8092484163160146,0.9544615344134377,1.0496402301996794,1.4096438981793769,1.6977684472655725,1.2801719295249414,1.3685535516839882,1.769954155519336,1.238431398398819,1.0476029325061167,0.8741503414766859,0.9563261026256628,0.8054684967106798,0.6603457302031144,0.5837976280609684,0.5771475326119576,0.5301046028178769,0.57114968384277,0.527543526810549,0.5090487072113306,0.5384701200016659,0.5861099440448425,0.6274893243503487,0.52687908315599,0.6206892299481062,0.5843555049583811,0.5375878437563981,0.6126007849094666,0.7617895692764205,0.7264842040575961,0.6922189811955431,0.6213121057597727,0.81788404502633,0.6193204863720203,0.5923169960895995,0.6388879341886871,0.6507197005123609,1.797681055142516,0.9438654365642631,1.1934535029468878,0.8842204405787323,0.7396062432294168,0.69316463371775,0.7048898096327483,0.7295807332679275,0.6282132565812557,0.6548231087158015,0.7255004842188497,0.6945312325022024,0.6142256098867345,0.8708049344121132,0.8731125642429534,0.8794880619269873,0.918895040237877,0.578606607369243,0.6614855880567428,0.6763992564323534,0.674219441847995,0.8877460508792603,0.911489702603018,1.0176453462999346,0.8660725300742406,0.8706953393433025,1.0551057608180527,0.8844895173113873,0.791329427775586,0.9321325701667623,1.027165114248322,0.8204458101631089,0.815179660740686,0.9488520639520078,1.011939156120953,0.811661892825973,0.8029435089028623,0.6842859998169593,0.6586845049393982,0.6415544287019879,0.652445051544929,0.5860595716009956,0.5549697692667613,0.5684068245928273,0.5780202098022861,0.6126822462301587,0.6197386384055825,0.6827349195794251,0.8538132323673927,0.7678546421343415,0.8116355049757981,0.9976160219571717,1.1624299826902313,1.0573348727875884,0.8932043210343162,1.2898833629328765,1.216574093051665,0.829475945143889,0.7185924550884255,0.5792971616652107,0.5140147841330508,0.720561740871231,0.7199515485794709,0.9047196109605138,0.9939726727717427,0.7271786807555058,0.6005399983772618,0.5698156373855734,0.5535204134992394,0.5139501780850733,0.5429397453662647,0.8133760532584985,1.6833856707620705,0.6947332941963671,1.0047461521037757,1.3752436449505983,0.9220261332126859,0.9333278848119685,1.3309790372946033,1.2687982417840051,1.1083614723532453,1.6509338360595647,2.7971552046153216],[1.2300550092321698,0.6304034768258169,0.41627099526510847,0.32527685047173843,0.3871746853753776,0.3805005415831913,0.3530006350315921,0.34934995991808837,0.35854261563262035,0.346198575102422,0.3562641129421301,0.4438804651902416,0.3875032178083376,0.4381040255160082,0.49252859889793565,0.4920703942446368,0.56350013351922,0.6606365239005015,0.8126743436648176,0.733829374610737,0.8209670407727018,0.8862205706435123,1.0131710731800079,1.197726464224218,0.92641048686571,0.9039997741272294,0.756093280753311,0.6119326236990388,0.5784007189453656,0.5388560605088819,0.6108503442096477,0.5275073808136079,0.6051621218749521,0.6334170326635469,0.5612835225052283,0.6124370304477338,0.531233470320536,0.6485916765973904,0.6448258781101515,0.6403054454196505,0.7947646263430506,0.8354420080217593,0.8296561930922722,0.8093594529375294,1.5231842009526455,1.5124952584953442,1.7003748429626662,1.053643285880186,1.4619067767315694,1.2987173329347879,1.1116282871724685,1.578574377971133,1.3265630571052,1.4220722479279295,1.591185278551343,0.9013180285122233,1.2194095212444434,0.9396068487165851,1.0999893929509335,1.2732559211764187,1.0977527253319648,0.8395036885592311,0.7327469644446982,1.118641124967465,0.9147525621764914,0.8105467399144118,0.8691362689664546,0.7542599566419337,0.9970129501488906,0.7926180185516375,0.9866438416868102,1.2385411875450423,0.9223749605315026,1.0985610304720945,0.7743913446451768,1.27221713471806,0.7342594379381265,0.702387185846326,0.669120896831607,0.6775376945208073,0.6530984012445145,0.6918343743898111,1.1612181363362326,0.5752313273625272,0.7236992412008771,0.5961904242266262,0.6372589194657429,0.6510000593028725,0.6475963034405093,0.6574745458490922,0.6775917366005952,0.7862271674632078,0.7438543547422946,0.6213902225666662,0.5874910876091824,0.6501496500961089,0.5830962812204465,0.5563796560791562,0.5250768156359465,0.8112179001876437,0.5200090871496004,0.5870765183398289,0.487200582070768,0.5208199931521209,0.5093688607554411,0.46987432444203164,0.5449994092696027,0.4454877245062556,0.41022327840614065,0.6208144294150599,0.359801063842416,0.3768178158300868,0.37427896822838086,0.4143410179827799,0.44022435761289735,0.5306832156884066,0.567697736252978,0.6414930378652838,0.7717714508861457,0.7190350535048657,0.6817844997509279,0.5960727602103495,0.6568722935699342,0.4878617512852135,0.38597778017447815,0.43035060105393225,0.3387296903861514,0.4059127344487278,0.37524119553152063,0.4875692193127874,0.42785182476727746,0.41466174152880936,0.48035048163883837,0.490702887315216,0.5461056456838796,0.5865507527232001,0.6035385008082074,0.4932946941204442,0.5640111419557001,0.6062332043290984,0.8441295808222377,0.965514841126008,0.7526448120383962,0.6116543026289116,0.5900061854687771,0.5618758549278594,0.5094703584780574,0.4719067517037712,0.40737391156016745,0.4184764291431193,0.45138700596883297,0.6038143760204979,0.9386504370412715,1.820087976233105,1.4248584578910162,0.6376916564610148,0.44969980378123536,0.4259076423961154,0.432049625700852,0.4478096648106576,0.4546523002317181,0.5164133931286355,0.5341889025879022,0.5446643048822197,0.6164967962245378,0.6986976039320765,0.652742634473926,0.763665836673376,0.7805041084689565,0.763559288878114,0.621243966523804,0.5367710672515975,0.5137559686520115,0.48350398182915705,0.4686615492125349,0.5112245184897775,0.5079920500974372,0.6876174834358253,0.5129480774626558,0.5333272662211825,0.518598141287021,0.4594967156738983,0.5134442677063649,0.5433691474564472,0.5679850041993966,0.7405187058281446,0.8581363565304355,1.2592945572907082,1.575413340628445,1.049080500775617,1.248592519860656,1.5006752090858426,1.055336299080919,0.8889393341103411,0.6630526237589343,0.7798719103976944,0.6562315984259794,0.46636816763143074,0.42654809002105515,0.4031249852237057,0.3866502273877173,0.47104989993252616,0.3987822600653625,0.42446397197346186,0.48312496455312537,0.5509763264210644,0.5892243137437316,0.5002192724004972,0.6358176657340678,0.5968726953962226,0.5486512715274626,0.658322491159473,0.8156644890684843,0.727841397884407,0.7241900481333038,0.6692501951634037,0.8663038779502998,0.6245227771856955,0.5870113155134506,0.6528236103941095,0.6549415298638197,1.7692004509316361,0.9154587600921108,1.2821500132511408,0.8120824894308036,0.6838456627850239,0.6496879108971145,0.6228333168718105,0.6676207739542007,0.5226564186102204,0.5416630619745929,0.5958067912938836,0.6409947015309647,0.4744601423946211,0.7110170871079842,0.7404858239838821,0.7478973828601131,0.8249818639106649,0.4554514948292684,0.48961267269114817,0.530207557832084,0.6106908080119852,0.8321668952571191,0.9421728733624597,0.996789499363397,0.8302106445009387,0.8272435983104942,1.0570692059629963,0.8739580185642056,0.7827726069338696,0.9651141702473779,1.0804621320446102,0.8695294339856565,0.864601771914133,1.0270680197737523,1.078217500557595,0.8575779479383882,0.8659611705283878,0.7352986711523185,0.691839119082277,0.6322496753221468,0.6113624987290703,0.5983302618005858,0.5389089518147391,0.5231087121202798,0.5330403787793283,0.5801797094311544,0.5489888607893053,0.6034470734635417,0.8470354219830596,0.7327804736947628,0.7471938295353243,0.9249994268741889,1.069598125231708,1.0164429896337364,0.8590399590620235,1.1493604592200086,1.0841031813557396,0.8826704734156703,0.6991380436471702,0.5738097369111727,0.5183829116845813,0.7147109637750761,0.7131228586027112,0.8884882082462119,0.97378957681303,0.6920830544862214,0.5143971656734524,0.42096621722761596,0.4243664839292813,0.47559744536304344,0.5248000543748991,0.8785757191928121,1.7119513587490345,0.6749869489914254,1.050854973272569,1.3465362223716875,0.8828237443822567,0.9128383371823073,1.3887879522019242,1.3306398615734967,0.8537014600957911,1.487094589211124,2.345069671771498],[1.080465056353913,0.6722729288343139,0.4995583429201882,0.4469553022882283,0.5211218748416515,0.49528442563824965,0.49176068006646334,0.46208806026326676,0.48683651517576215,0.4841536339894673,0.46501501864950046,0.5135337566943359,0.499111845198149,0.5438363898490877,0.555357916016891,0.5718427554862588,0.6758258578379126,0.7409614538103844,0.8874097938895844,0.8393275330297008,0.9074016856420669,0.9724054968757294,1.1033559149939227,1.2573366913573996,1.0401000097558237,1.0047781294417997,0.8964567892200349,0.7277782074852035,0.7033477389484026,0.6329942420125017,0.6616563605855635,0.599883236296472,0.6265891987768378,0.6937367441119451,0.6165550747385208,0.6881044961513656,0.6554519654094336,0.7606811982372876,0.7900725404272628,0.8110984796764954,0.9286071725780133,0.950135499707834,0.9465925287394215,0.9621324974239726,1.6705544904806278,1.7287530456660616,1.9345966550726277,1.22272363729907,1.4577163432447091,1.4952574185510132,1.2797279252627995,1.758696459035746,1.5092064375221508,1.7215900043022458,1.574189885617111,0.9795574398427114,1.2732946495912612,1.0469196952734925,1.1419907988285736,1.4691549343731753,1.2321040460728194,0.8986554266443382,0.7840314782015723,1.107834470277592,0.9803025182992782,0.8844714914247,0.9249323858010865,0.8217515818243287,0.9999936003855133,0.8691587443343147,0.9633901217041976,1.1378781250680883,0.955565783147951,1.1198652910937485,0.8144068606763245,1.2177304303151089,0.7896037572880034,0.73988552487128,0.7334777414800636,0.761694095846215,0.7471531554340117,0.826616811142622,1.1962249997681405,0.7034859464334602,0.9101399756411446,0.7346474570448401,0.7536583259905989,0.776369497254812,0.736893791500873,0.7233781781168613,0.7351597015303716,0.8283353809281101,0.806188177617365,0.6663049050594149,0.6318360763324048,0.6743099988956167,0.6303587749841227,0.5907804866877278,0.5590666192671058,0.7480871219994509,0.5638795710373714,0.6024185906798036,0.5754558766222271,0.5748901308730452,0.6064294665126496,0.5783481466949789,0.6313673865251845,0.5910516409896774,0.5526724317875823,0.6871206918725125,0.4923302098375025,0.5195470124369256,0.5145949088993081,0.5574717705134464,0.5750519039980349,0.6308157569383787,0.6685448514125475,0.7234572106868584,0.8336999657665164,0.787291209573716,0.7567262980060178,0.6727261061393852,0.6767642085386875,0.5903771780356999,0.5160042731229291,0.5512409269482171,0.5036813187343774,0.5606285348339837,0.5400953954618902,0.6207341407682477,0.6134222930879908,0.5964929409165384,0.655198164843745,0.6136276431265065,0.6886700083839737,0.7307003064936077,0.712399410872923,0.638376416844002,0.6712178643680531,0.7104599867880563,0.8974568129686789,1.0338939552710606,0.8404072948945012,0.7254865148492583,0.71489804489651,0.6819353912878902,0.6338575738014749,0.6026807407784017,0.5141541356388898,0.5137652289287895,0.49785890071951266,0.6567935356649038,0.9409848873154365,1.7210886791806688,1.3908921199977509,0.6311002366026962,0.5068994800796032,0.5070554029570998,0.5130557665291657,0.5276651829480301,0.6196344317904231,0.6444828618766784,0.6785989064556153,0.7049814026746547,0.7410320824210774,0.8120042649468027,0.7749572313801604,0.899809248961296,0.8903574622904002,0.8600031032530037,0.7511760774116183,0.6786315906636217,0.6736395476689703,0.6237169392396278,0.5959421952693159,0.6285601563958881,0.6374543024309681,0.7924889136184573,0.640115916848955,0.6440776280125217,0.6590883646236059,0.5776622692721699,0.6283340883304711,0.6718574853843606,0.6838800295749281,0.8619910545775469,1.0131847752007703,1.381752749674677,1.6842309425594755,1.22205291289565,1.2594131027831894,1.6203728369809351,1.152610254988098,0.9983784231747349,0.8419628830072685,0.971657400410346,0.7921914859731363,0.6761542690588256,0.6245184847669626,0.6002762719560617,0.5795601574244109,0.6056873036585257,0.5666867801502582,0.585538983528881,0.5919254737197389,0.637796142257321,0.6594263786874667,0.5908987132589596,0.6776403012320716,0.6666234687119175,0.6059689751753069,0.6839826307377173,0.8377799056754304,0.7874399319318726,0.7532723006190334,0.7155785915630367,0.8594576969072827,0.6971873400650987,0.6587001997445472,0.7020210223757714,0.7342419469742505,1.6487436249737122,0.9890260383067824,1.2353065848297513,0.8671566892575275,0.763956479876613,0.7635271149248455,0.7220527492836109,0.7986682664687126,0.6769936292690931,0.65467761353023,0.7062749233924314,0.7467046173077069,0.6333423422468835,0.853016355655217,0.9342957368891646,0.9251355174575466,0.969469019254098,0.6292488967404177,0.6842097731703918,0.6694190238932821,0.6826573759347796,0.8840079386987487,0.9437876354681426,1.0152373873928096,0.8683014085723362,0.9126873421457685,1.0536268067913874,0.9219253679830604,0.8171538956585298,0.9435383760152715,1.059358661467475,0.8753882095716603,0.8501939191194625,0.992067363507469,1.0924213268862186,0.8496501783717076,0.8438995920503891,0.7286607473672755,0.6966480042731658,0.6676644240067415,0.6539402215063349,0.6495322100031284,0.6100670022858471,0.6046989864606661,0.6321510476744369,0.6686616346299834,0.6664080682469382,0.7411010860974812,0.9459113017219144,0.8354848868938954,0.8995585527520428,1.1143332898778462,1.2390879428062076,1.126088882229812,0.9591659217698116,1.2929485190641872,1.1579250727627957,0.9323941637876516,0.7719766606215277,0.6444229719716709,0.5785575976211035,0.7440016846346091,0.7724809795735471,1.0012996623672865,1.0696060463119226,0.8179895888275392,0.6483131771305094,0.6006328127726372,0.5556355673741725,0.5749474684774603,0.5729236195480878,0.8248030397362559,1.5804536764489183,0.7159915579886985,1.0253305457199422,1.3170576193383916,0.9429563988992733,0.9359863678761474,1.2816431036534675,1.2185642666115792,0.9464044682906654,1.3631212816460425,2.3286794468529175],[1.1807250802677038,0.6277607813833813,0.3820164631183462,0.32579214518015115,0.3724993974247056,0.3273119627288978,0.2874884984337082,0.325989750775633,0.3679721202998443,0.31172900445872787,0.3105553958709289,0.37791351725859407,0.3270066325281247,0.37613098883850005,0.42285727680207114,0.4181132983122246,0.5168022241678191,0.6018991517244653,0.755569724814157,0.6782134401567517,0.7648637220747895,0.8371188880600287,0.9948800380435964,1.1590259769228841,0.897221336173615,0.8651640528137995,0.7276596111103597,0.5605529000295237,0.5151824470776718,0.4592642191740035,0.5364690391253878,0.4395925053679201,0.5557191927508616,0.5462420145571653,0.4706995690914238,0.5293147184103604,0.43580666483182917,0.5749063998534616,0.5873795202892209,0.5939737915724134,0.7779950776780091,0.7982987450110812,0.7912962850898797,0.7839555171750531,1.4660958106868938,1.4587425635647138,1.6408458643834456,0.986719012063725,1.4254041387602698,1.3532413402368226,1.0637533474741252,1.5770861856752212,1.3414834389341788,1.4544724389740564,1.5444108001028967,0.863429916327604,1.194166309128173,0.8778490760164424,1.0296105412562828,1.3114789770530986,1.1065389054721302,0.7766234131902426,0.6577405752201085,1.011959148073169,0.8533706452504791,0.758610100315457,0.8243727912773758,0.6923439240105984,0.9137753271139338,0.747599853431632,0.9211720378637823,1.1507774630396035,0.8768418352425255,1.0482331028982874,0.7118785706633255,1.2048442966297614,0.648928959013742,0.6115372676446184,0.5796744017314881,0.6002405982711877,0.5569645133113447,0.6231086996904952,1.1262349142889077,0.48829610814738433,0.6937411327436235,0.5345940701102588,0.5530396725553606,0.5712641973199738,0.5634992447494274,0.5608558800033624,0.5945093249237616,0.7233025673476164,0.6821625843546362,0.5526619927024117,0.517319667295718,0.5896507910484455,0.5416818311008461,0.5143663750866613,0.4811156365776397,0.7589460152485289,0.4525386698563794,0.5575473279348191,0.39388467250220954,0.4501206995538944,0.4623443529738618,0.4617938282387821,0.5425625430321231,0.39371387320534773,0.3508116339880745,0.5750566277021076,0.2924346188647675,0.31415033633698114,0.29515628625947615,0.35513911338117,0.39532861457658885,0.47220554418884725,0.5136694880263656,0.587300284458944,0.7096324880747282,0.6649832186061247,0.6424139157074262,0.5402123434126436,0.5758044506578783,0.44121441827250935,0.34159092464783286,0.37760788653755434,0.3033866835784074,0.35353439200323306,0.3250126059982132,0.4117828928895201,0.3872915538902163,0.38622703357538396,0.41760833382947715,0.4226146332924536,0.4561265593460445,0.523205723516185,0.5365111161191138,0.44432133880458485,0.49543322299405324,0.541552615456443,0.8067224452513534,0.8983450824856127,0.7050911829633248,0.5529660121008285,0.5284254130383321,0.4912800080247415,0.4416727619812581,0.40927474834193883,0.33341557438412683,0.36589267384370494,0.39237890951827664,0.5320461608602987,0.9374302139356083,1.781068887849032,1.3686675908919572,0.5832270608555231,0.388138525394875,0.36972419259390354,0.35498019518435525,0.37100915002302587,0.39548650515765676,0.4484760214252009,0.46844334783396946,0.49593155655742865,0.5467481391518213,0.6482004147431825,0.5898276963688464,0.7667830629369674,0.7882678548592693,0.7306103992422891,0.576484422982566,0.47606637988050254,0.4422165532796308,0.3972248983512343,0.3733225516022761,0.41922664596915055,0.43581255010920456,0.6095864387130991,0.41719489716989555,0.44601822035003025,0.4424870551703233,0.37486685611742226,0.4075580478405296,0.45947281756051267,0.5072658990427054,0.7176124645468741,0.8750648461906261,1.2678409284067713,1.641661690642151,1.0935747236620936,1.1924431118308767,1.4286704867536038,0.945707352964982,0.8146151771243098,0.6555036257893628,0.8248075583079847,0.6291958168097384,0.4375717073806345,0.4388199950191886,0.3701493841358127,0.3733442744015277,0.43811739035878405,0.37748311576057275,0.43091813073952406,0.4606135201642179,0.5248307497787322,0.5704624860544878,0.4903176165767121,0.6402831711414674,0.6104613932849228,0.5565493827290212,0.6757167117428609,0.845109635042439,0.7630150233867418,0.7757505229319193,0.7097390748639605,0.8928461003552955,0.6815716026286787,0.644649684600572,0.6685848962058306,0.6973960691233846,1.6713131021962104,0.9515489736106435,1.2169707950490012,0.7955527871351965,0.6673539738128097,0.6287369711923504,0.5871606995394936,0.7074762560759126,0.5185343697380708,0.5029239299237972,0.5763868075688179,0.66730519857961,0.48432623776684663,0.7003254009029978,0.8079562751619986,0.8246256079168414,0.8650806240906908,0.4725816749954746,0.48987839238981823,0.4814586055923718,0.5749080574954196,0.8049915418734102,0.900706516942036,0.972297983458667,0.8108905808443313,0.7782571012373284,0.9648446760585191,0.8209508611913232,0.7420202253185509,0.9429983403140606,1.0845043277782482,0.873121676253675,0.8552606411443731,1.048203803636034,1.1240464581635043,0.8787331386074962,0.883110141122782,0.7299068285521891,0.684171787774793,0.614187899477474,0.5900916635098952,0.6101336210884941,0.5348883848514042,0.5070365373378354,0.569515693730624,0.6139501735713601,0.5727833465127106,0.6440816833533641,0.924789377515144,0.791852640673156,0.7980168111554606,0.9921990403727435,1.1355588996980224,1.0794656491774606,0.9406298051755523,1.1759001118251478,1.0865798675434086,0.950974751265397,0.7480083149096483,0.604630090294181,0.5326881862607072,0.7299619492126258,0.7756012016727686,0.9812175612271622,1.0472320512964957,0.7614012565530667,0.511059617610407,0.40774802896409273,0.40116823090491815,0.4575263862918747,0.5185022762752135,0.8668741338032486,1.6585126589341421,0.6564039191441993,1.022011043450228,1.2728904276869486,0.8360371136439223,0.8493330632319168,1.3165841120032036,1.3155686432737685,0.7828573277603005,1.4184380094997089,2.123762667544269],[1.0307164547370802,0.5800207397659018,0.4092498771151436,0.3492437265098611,0.37562585028920215,0.37242396332536787,0.35631164474640165,0.33084436568571857,0.4115611195359688,0.41179907385233355,0.40271234438632847,0.4597653757284425,0.4287148400160991,0.4703591594506667,0.5231148553563983,0.5114994733581354,0.5767513719974783,0.6463374349031146,0.7895043025739106,0.734741764256422,0.8190790434887449,0.8842710703178911,1.0363265173206884,1.1466426345285885,0.9651946178688903,0.9058215546752,0.8103297919536377,0.6263702646980641,0.5927798554817899,0.5275907306561807,0.5794731798518427,0.5280608373981295,0.5317593423710988,0.574188362102968,0.531368396502595,0.5892668975149725,0.5233230680099357,0.6519559208339202,0.6741037711356774,0.7303399767650278,0.8715785226805319,0.8664596351771247,0.8558775736985541,0.9000101704541502,1.5289822995799252,1.5605454831902783,1.7411364059991388,1.1057680036421367,1.4461086218317627,1.5221009779622734,1.1830016787313429,1.7004402537642471,1.4765268652488375,1.647146588055213,1.5419088955334417,0.904647497297038,1.1864353966702395,0.963615940821186,1.106558796848492,1.4393606321904493,1.19687236226739,0.815467273001848,0.7066630871602173,1.0022513948243672,0.8784266202218921,0.811182027783329,0.8102496870208854,0.7194357742025159,0.9017916686526952,0.8103999332812242,0.8909819394197183,1.1035843738850508,0.9068329647927447,1.0397789348038908,0.7512963270886984,1.1535439955334297,0.7020204748997232,0.6597837437520108,0.639759147080794,0.6633582790819421,0.6491861812608383,0.6975052259787469,1.0636930435710912,0.6088423277160161,0.8179746773977281,0.6174403678632082,0.6455563175271658,0.684053899878527,0.6190839944186829,0.6361438876710037,0.6379569833325013,0.7759660162049801,0.7344537212344107,0.5966844343854205,0.567442843055673,0.6263365248877658,0.601711893670896,0.5183598206174094,0.48398719275979807,0.6633436026049266,0.48237809487049776,0.5448547495988953,0.4750604455480001,0.4557784847086942,0.45868906338744775,0.4803305894669661,0.5172995808647616,0.46880534482894726,0.4206195489566264,0.5744735366129057,0.34532113746783866,0.3853109469434626,0.3806339358538195,0.4345692083769459,0.47422458646271914,0.5127207451626439,0.5968815013161193,0.6394740379793298,0.763999516190295,0.684066399663953,0.6806206161386176,0.6144947706800732,0.6147360656251042,0.5008158440450831,0.39729857075325886,0.4287859894733923,0.34556712068903267,0.3879287303028452,0.36604787733413785,0.4503889534850008,0.46350723828632784,0.4490092280255375,0.5227235227503287,0.4983154278545284,0.5455453463743191,0.6111014004110872,0.6191808867902998,0.5480579664161577,0.5732416830527008,0.6231498189922734,0.8599832425748378,0.9461270335577658,0.7480795539965688,0.6133328229568281,0.5874350235734483,0.5679438135975964,0.5216372259288422,0.4817441045070931,0.38844850342916154,0.4136646415008288,0.3930344323207863,0.5254140169708276,0.8707699838009345,1.670528949742834,1.2768835674251953,0.5305891397553125,0.40700905562984874,0.37709867525830104,0.43104189643462876,0.43826587008408313,0.4853786963956035,0.5257596911125587,0.5518563327908139,0.6133380678487446,0.6374279484472712,0.7496360004655016,0.6984041053636373,0.8838927372623521,0.8735531382660954,0.809040951423836,0.6637399777418693,0.5845286359581653,0.5425471599799276,0.5060460690405753,0.47630029115007494,0.4846036820231397,0.5343786590913314,0.6612560487815258,0.5396578186816581,0.5309663384196681,0.5414127015972843,0.4465047063614786,0.5051760672137441,0.5805143706402485,0.6173979446773633,0.8371386813136829,1.002027583486549,1.3542361346305547,1.7396772794265638,1.2272629414648462,1.2292449300297565,1.4702950160843422,1.0620455463036909,0.9216849313617803,0.8134938853880923,1.0189533404727222,0.7138128414374093,0.5217556748164195,0.5290706183631847,0.4356523789403233,0.45378395409741507,0.44936443528411507,0.419964708432621,0.470641783385047,0.4805066425264022,0.5337879404275002,0.5917375531484352,0.5178683417343216,0.6206740214993621,0.6352808649388739,0.5767871002594649,0.6689921362041502,0.8344436094999513,0.7926107671255689,0.7812812572757399,0.7226917683589931,0.9103590964668666,0.7158568014824335,0.6675688450276739,0.6835706353015318,0.7500911666722265,1.5194567128911778,1.0048245889387075,1.1518423951922583,0.8044597251187667,0.6791655793103757,0.6728786839051052,0.6406324920342837,0.7973702467379772,0.6067046624702669,0.5601369808010406,0.673935431070471,0.743033241755576,0.5749496987632204,0.7626857088455642,0.8976468219432177,0.9078825444404677,0.9356504422269002,0.5644922987837003,0.5588357924114378,0.5425618021540868,0.5826791136643389,0.7891335932173339,0.8396422461032088,0.9278421619985059,0.7699779737540197,0.7557845019128306,0.8664856679084462,0.7810089986870091,0.700637284306695,0.8564270148765863,1.0057357205515935,0.8184740590873237,0.7889904192192628,0.9628181168206931,1.086415056385387,0.8194805210309666,0.812948882670146,0.697684074128899,0.6425474223744567,0.5792649222216308,0.5771700980922543,0.6105359921076188,0.5423505349879199,0.5243102330287959,0.5990634303040622,0.6417707025391428,0.6174646296393129,0.7294631785960286,0.9988197226331531,0.8391440482184743,0.8842762239293435,1.119609519697161,1.2506507528619262,1.1435938179815512,0.9795145817800005,1.2651779033942128,1.1632559989422513,0.9378119424556329,0.7745486955030267,0.619300255593538,0.5464515478876723,0.716243150585927,0.7705894682333295,1.0119667728104609,1.0661456424401472,0.8002176878208003,0.5369581515681913,0.4752667414670233,0.4269101827900399,0.45536767981554604,0.4949484596532556,0.7455165468079924,1.5201876635254477,0.6317935910971426,0.921151483162766,1.1630719740073128,0.8159736746657427,0.7851783919213273,1.1496312470889725,1.148171845397775,0.8740315653173993,1.2844758524804227,2.0590395601214198],[1.1562591178838362,0.9872565117172617,0.7625997976475348,0.7187116263919946,0.6659155616482304,0.625199448921321,0.46755655657719125,0.4690920437045419,0.48618367607297397,0.4731522996541288,0.49483394548003573,0.5148319829019529,0.4944457698150156,0.5675945426064392,0.6309628313006985,0.590529370323618,0.6510942824978921,0.7728641489434306,0.9518584760394857,0.8743209438511783,0.9853447052373985,1.0390255526700358,1.209555373614095,1.3446136279597503,1.0976915052722471,1.0423916689202866,0.895199564940363,0.7083399006239234,0.6824044363813692,0.5768728747257981,0.693774305382841,0.5944654753318314,0.6280949177380556,0.6907361534165212,0.6295540481723719,0.684447704240324,0.5725160832057079,0.7058489272237468,0.7265059201613526,0.7630542713417531,0.9376175003490816,0.9529761612468907,0.945641038420213,0.9271545937690633,1.4513285696290599,1.4876643354584111,1.6246281311866326,1.0724724730383521,1.4839411331360937,1.5924842883817176,1.1524670725616923,1.7101914413332457,1.4572980013734385,1.597459490424285,1.5335480813391893,0.8955228481487507,1.1974039535261811,0.9739593125297797,1.13713355768598,1.544185939529243,1.23945814165193,0.9334023105389124,0.8445831552814772,1.1440028472290609,1.0197015979258368,0.9255700556532563,0.9525646947828277,0.906041837020211,1.1099052189581162,0.9936639615958612,1.1465719550929296,1.4208494012338946,1.1524642530527263,1.2656029977831562,0.9499421801788105,1.239290864581778,0.8674786533224002,0.8128542664509016,0.76160703838518,0.7760667312263572,0.7209334523486264,0.7521952910047297,1.015031599762544,0.6063627485251006,0.801445588942561,0.6388469376793399,0.7014849075040062,0.7476705225629209,0.73342860891391,0.7666981804079012,0.7935609509949549,0.9377877393382577,0.8811852772108095,0.7228773906634833,0.6831469627601295,0.7541456203671063,0.710119548214703,0.6070119218314618,0.5551941715843762,0.7863140358579788,0.5652053020671808,0.6100122982516001,0.5236727717839983,0.5275531038117951,0.5989664506488812,0.5682277031839964,0.7034292140327005,0.5827641538729252,0.5808958770975444,0.73860848314514,0.54251538652318,0.48715885860950253,0.4530299927751117,0.4713134323898223,0.5059800552830906,0.5519500622163052,0.6795608969893331,0.7115717748833088,0.8959473313655367,0.7931517381841998,0.797102632395913,0.7196241426289338,0.6617511693337738,0.5236123742286672,0.46066983991302757,0.48701179308030773,0.5132681615634164,0.5038849610495204,0.5263901174158934,0.5503086250599474,0.5481399730875552,0.5652023630786221,0.5372335446177032,0.5488465374819003,0.5268893714422955,0.6121188105005501,0.6813686053707296,0.5287084546918428,0.5391101974618723,0.5909619708721254,0.8119843470697962,0.922805755119665,0.7690289780350807,0.6367161508554602,0.6539148515929768,0.6261147182229501,0.5644873552434793,0.5208770095152145,0.4528444566850923,0.49439192195517373,0.5161139044326838,0.5850085236465563,0.9353908453974793,1.7182052221942923,1.3431166399532644,0.6272154555455266,0.48179628993479306,0.46753387689905984,0.48453839620828415,0.5155904897723808,0.49757982137599616,0.5494209560468489,0.5441599619237337,0.5955500608638862,0.6169719323662334,0.7115878826729609,0.6820043847274445,0.8895040916997522,0.9207149511610292,0.8212639488142737,0.6671481948287864,0.5534018051422316,0.5214603909746639,0.48985220161447635,0.48910384472688045,0.49545538200211403,0.5413241930632817,0.6638052593663413,0.5445098917788358,0.5112900114299836,0.5469163419813631,0.4866883072095371,0.5043675797963659,0.534999839381389,0.5756797610131911,0.8124661289217728,1.007873263991728,1.3010348703448829,1.79456004682611,1.2299915952585592,1.17769094318088,1.3846450579537448,0.9861802976596524,0.8513285263011063,0.7193293068639411,0.925037840755131,0.6997044969801695,0.6875623813158296,0.7277571289587018,0.6535493839129715,0.7133665603823413,0.7391153050617175,0.6931755972908206,0.7501407405479477,0.7737149561197937,0.8090755884775463,0.8225481427576457,0.8308396911431777,0.8974866666807461,0.9097882893115982,0.9270208644122113,1.0192912947151687,1.0966323795026152,1.0650981094400322,1.1268901410620942,1.0829057407944402,1.170408606974835,1.0429636802663524,0.9964801233952814,1.0021589591691935,1.127732673421271,1.6909887653560418,1.3282577044971062,1.2662648868318251,1.090577648859782,0.9229767748948712,0.8392083825455409,0.8247904689399094,0.8811866285797387,0.7799108154583837,0.8149870863850316,0.899662541113139,0.9721504294697519,0.8089345835954915,0.8688474439007714,1.0280731917419619,1.0229066089182233,0.9420534513377151,0.7510338369563522,0.770074355713127,0.7554649769743291,0.8128012483353763,0.8939808410348694,0.9839574295911492,1.037262712050625,0.9227967249631508,0.9730287870331175,1.0611210781401548,0.9914858272296238,0.9613205678732737,1.1202207381479774,1.2735218312131213,1.1283299174300485,1.0788401569562518,1.220907046630697,1.3176488172577674,1.0878402963823046,1.0905054174138793,0.9736063885182512,0.9152683857352558,0.8736363737528838,0.8616440611714976,0.9041450219171208,0.8391663171286435,0.8021318054593896,0.9004023519512869,0.936486539844322,0.8545969836046375,0.9394832602605979,1.122965278390138,0.9967329697704735,1.0118149901491758,1.207805872315314,1.3767313259571228,1.3007434062068328,1.1771893260720634,1.3808691635092258,1.355937495119647,1.282103312718855,1.0559895379741624,0.9275335731361597,0.9077096091656567,0.9855640560946874,0.9579996545525824,1.1333592554017795,1.1392367489101287,0.9308614224717408,0.7281416890371589,0.666608760761342,0.695533649432865,0.8147751205310747,0.8071383620907424,1.0517412494077287,1.5808985680045686,0.8824684045694278,1.2135123853552943,1.258227517049028,0.9726573109126493,1.0922033274831555,1.3959368122707152,1.1990346841482085,0.9962197210767405,1.4167672242587013,1.9099577131580943],[0.9028987108704896,0.5789214991549821,0.5090515421650122,0.46706628702868164,0.47432072197906494,0.4553010794992822,0.4607683251134437,0.43647680745366046,0.44675873852538855,0.41782931591207967,0.3951295466560773,0.48117589751538176,0.4051263698049133,0.42336940759751834,0.4546951683521311,0.4350133749289547,0.5092647923088212,0.5382752449087906,0.6466175535761604,0.6101358569134008,0.6927294449681647,0.8026873809569014,0.9327221789774229,1.0123070399131198,0.8633549085985163,0.7798111147839283,0.7046692398869595,0.5497251205903783,0.5118274885725235,0.46198493839652105,0.48461793526926683,0.45316103761917953,0.48502053288997093,0.5168464293431437,0.4573555580746819,0.5102129713984582,0.45514875794644666,0.558000776832512,0.587608409709714,0.6707590443940656,0.8269897215263852,0.7760975071475432,0.7664734046654066,0.7848421223763976,1.318313115200239,1.378013019320499,1.5050898084685014,0.9343483572057745,1.4523249538222933,1.6270099892663974,1.1206161142061126,1.686889211649984,1.4654456634304511,1.6032266298369422,1.5385355263078544,0.8945855779041104,1.1527831734573664,0.912297768262439,1.0405339666738593,1.3873504504045724,1.0972419920070167,0.7350942771690175,0.6100207724095743,0.8705652611940502,0.7635349918788903,0.7133401916486483,0.6887785342976986,0.5834877392584328,0.7668837787180219,0.7269446357774941,0.8166193427015779,1.0388108696346423,0.8264662749988072,0.9156472320383379,0.6417010996133408,1.0542309301159478,0.5942340921168845,0.5512687318875255,0.5327655730209668,0.5673661052452884,0.5812103806597316,0.6485246049534192,0.9914121066046064,0.5850135509271424,0.7701622162194711,0.5871113626646156,0.5590943459627923,0.6229359082549156,0.527382353479361,0.5813171211520612,0.5553096699728921,0.677287840858027,0.6370878775346587,0.5093893500497589,0.48889523340693936,0.5617946190670131,0.5536298523588233,0.47553104594547063,0.46020869113405893,0.6548264881800786,0.4667445016033965,0.5980517847878608,0.46375582938910453,0.49259133856342113,0.5185455930047066,0.49466655439978935,0.5886023420961061,0.5393166654910924,0.49157888402478167,0.6104212278913721,0.4275563084350661,0.41381399023521553,0.4293266198045377,0.43199107183482693,0.4745230013552871,0.4841471249304577,0.5561645904336142,0.5572891175223628,0.7103452222282101,0.6038083472103422,0.6160410089406765,0.5741435333427777,0.5615944938096845,0.46436562460532615,0.4283758892656059,0.4794421725980781,0.4086260161016114,0.445981098679672,0.4354301743172014,0.4348849245918687,0.5022928963049278,0.49351749807363987,0.5258820394125476,0.48645080626430515,0.5439786629686774,0.6011328795015674,0.6470219012720365,0.5523975748083454,0.5349112881309585,0.5632563357101091,0.7595101967389157,0.8326389146498252,0.6572025438006532,0.5480907658867783,0.5637386291639046,0.5272239102883242,0.49120815205884905,0.4742425392705953,0.3988146585642632,0.4516511627335859,0.44047046269203405,0.5933822443467438,0.9454419567365693,1.5995657442756022,1.2079552859843898,0.536610580275401,0.4136902566206121,0.41557655700307017,0.43361701455057816,0.4779381723323714,0.47549628669410243,0.49328247178447526,0.5289884979644944,0.5849158405576599,0.6063413118988248,0.7174167068157219,0.6899328015118423,0.8951367341559175,0.9290117825127122,0.8146248296489647,0.6689162180588635,0.5629102472021472,0.5286923458472823,0.4988145330380227,0.4701141471036263,0.4659981576314649,0.5005012117909837,0.602309308111292,0.5155282077753457,0.48363433462336286,0.56243178695349,0.4571366945182281,0.5043437303946279,0.582690841189132,0.623330452730843,0.8273838680837676,0.9885635174466305,1.2843705808458032,1.775063036750793,1.2211078012121324,1.1628991076008155,1.4082196445299728,1.0629405797433307,0.9331684981719123,0.8388849799365181,1.0644217715572772,0.7137012479360061,0.5818088393879374,0.6051963984077497,0.517717259980793,0.5623968506953788,0.5304315097281522,0.49836362492889974,0.5919572090118357,0.5786188301830486,0.5983965083680333,0.6914451878444683,0.6286581076080973,0.6738712433160136,0.7132469459735681,0.6694201521953042,0.753037515494557,0.9008631759240512,0.9051303002679495,0.8692515646068005,0.8413707400419028,0.9958156513708031,0.8481599816246289,0.7659357799430917,0.792401367827889,0.8809975998355959,1.5037251135687677,1.0390114939699648,1.129472551586092,0.7804514809312944,0.7119146256821384,0.7691603086283948,0.7498203891416141,0.9888228066391449,0.7371047642372074,0.6301141794829028,0.7872376864543201,0.8508661742640863,0.6701149495443308,0.843313350968651,1.030405148770494,1.0120062795233251,1.0374090613041496,0.6828042189836822,0.6019699674450174,0.584825946750415,0.6145613450537776,0.782914291104933,0.8754229044275571,0.9360652269203286,0.7998482992930572,0.7583821768985984,0.8265477833459588,0.7711183926376786,0.6961130974060159,0.8254607247068466,0.9747220755710314,0.8048205261689759,0.7894731431809584,0.9582145241985657,1.1347168091740814,0.8767745412026796,0.8772422795053125,0.765355853957524,0.7090048893086438,0.6314263342517055,0.636021853654216,0.7261609889455823,0.6477717292564175,0.650409400172969,0.7368620441672912,0.7617790991403646,0.751271316585272,0.8864621491192225,1.1397560770922048,0.9708582767562566,1.0524803336495652,1.2531714375914755,1.350545938878593,1.256744031709116,1.0984554017613233,1.3700955220511677,1.2105957291578793,1.058345422744155,0.8902943917354865,0.7142154325576499,0.6527791904224657,0.7936641197802919,0.8349857345359454,1.0666031687578983,1.0718658734166764,0.8584521364406066,0.5998872477446355,0.5498076092232425,0.5249650565140783,0.4829268509229242,0.5090689766065494,0.6556064379045303,1.2751666782064808,0.6161328913668604,0.804588425564034,1.0417867677015535,0.7992940373920424,0.7105921315519474,1.024562660303725,1.0094230380229838,1.0564027259187097,1.3429852038836319,1.9504549465651297],[0.9090077612109858,0.7023650719439131,0.5398644549412601,0.4710180965074946,0.5308963570095983,0.49271770628451267,0.49848357088467665,0.49717800432592874,0.4899804824928418,0.5033582280204044,0.4975377910309428,0.560621286418641,0.5268863217359283,0.5583537676571246,0.5741254816624427,0.5747271641190326,0.6794257247721365,0.7427460837824951,0.8743435033188813,0.8278933977073423,0.9400051160237738,0.9981336578591259,1.1294528838909967,1.149632306902994,1.0677849542401305,0.98037972981592,0.9125659937038576,0.7565411952012121,0.6972100621698504,0.638131009449192,0.6398533317778681,0.588790574614278,0.5998878162714751,0.66689453474306,0.6336268857716254,0.696793712957089,0.6360101191884533,0.7510660745361203,0.7749706621727651,0.844571865915569,0.9644475032998363,0.9425790158363845,0.9307291675951146,0.9665789234685332,1.442693353968707,1.523807377340161,1.7361751837979427,1.1432997611510338,1.5345794322159318,1.819644769376418,1.3235900790492572,1.8405649692518227,1.6298856334368352,1.7834299718838722,1.528660799880009,1.0322510546945376,1.3185162928798442,1.027618329288564,1.1220832518411856,1.5806372639508899,1.297055547961719,0.9423638638242524,0.8468910035296139,1.0270294508850062,0.9660613544035104,0.924770181477563,0.8999378346361422,0.794774682828097,0.9465572843366196,0.9354960918540147,0.9666125212248357,1.1471238196881146,1.00304481059507,1.0442900252286407,0.8475123427095164,1.1759274158538568,0.798719370589442,0.7475726584919505,0.7476405181864396,0.7853228072179986,0.7672503428461741,0.8310383582788607,1.0567484052816125,0.7534968682973685,0.91266371764046,0.7553058114678064,0.7459506998322113,0.789772447308947,0.7330255257553407,0.7612775768254612,0.729563519848727,0.8331464829643197,0.7647747392399559,0.6367365341750593,0.6190962247067964,0.6656367271211985,0.6785208529324525,0.586823264090131,0.55718948117043,0.6920688447330228,0.5589736021337375,0.684559945558082,0.5644636546346197,0.5626456970482195,0.6694539449125807,0.5540743767343316,0.63050075543496,0.6049108259837344,0.5413141457884473,0.6581407059481578,0.5004050354019854,0.4992615695944835,0.5129447243793778,0.5566392166881264,0.6074686475224998,0.6617138979752493,0.7326836645428894,0.8011986303707742,0.9903497629488086,0.785674326884123,0.8190587118099564,0.7221187351026975,0.7445143633511152,0.6155710367435246,0.5318760779004514,0.591351048644447,0.47697140079262845,0.5285073926365781,0.5342326631734202,0.5860387093830655,0.5997468907390494,0.5917269306607659,0.6758251030251012,0.6154065059501638,0.6954502294203793,0.7484448783914055,0.7989428017369292,0.7211136232578472,0.7293386447670509,0.7468340540436902,0.9265068676252048,1.056025850278954,0.8842539142853653,0.7800280887659775,0.8004966697192469,0.7176099200283254,0.6808416813844674,0.6123428174439834,0.5047287866707544,0.5070218807936865,0.5174913848516703,0.6155747389236557,0.9441989925157324,1.5734404757317548,1.1766054446677658,0.562524150512316,0.4828851372258938,0.48882903267381994,0.5496020045665221,0.5463155818745855,0.5958456386423753,0.6524187443528768,0.7165820322464703,0.7547732194948776,0.7960121343022402,0.8857221642095832,0.896975962739389,1.1114137534604978,1.0835425344788538,0.9796727576207179,0.8389918938097313,0.7374460712055539,0.7056530736801838,0.6640060580594692,0.6286549636002355,0.6085116998495731,0.6315699575211803,0.7150111191676275,0.6643168397539642,0.6222991985292046,0.7236122198817078,0.5901560641159302,0.6629556718800491,0.7316104746075144,0.7650412675008281,0.9501534547009995,1.0918607574295882,1.3732696243161608,1.9095692853994095,1.4231173932730035,1.234364801301041,1.5684805960898334,1.2327283303968395,1.0841945391343808,0.9763795300061472,1.1551360024868575,0.788136185323343,0.6993303213095702,0.6542086478721423,0.5720202769591449,0.607989140846415,0.5592322777638921,0.5351303463224905,0.6084471095091376,0.5988438147026927,0.629940938908625,0.6478761554556334,0.6555320978581827,0.6995161867807627,0.7518572817685605,0.7272207218773212,0.7995337364542158,0.9376089995125712,0.9687099219561464,0.9363642050033998,0.8921110546444985,1.0610586707593215,0.9107401171198749,0.8231252200895915,0.837148100677774,0.8615946713922592,1.4265242347615847,1.0741986191516106,1.2765535902872933,0.8695059050353408,0.7926423283477729,0.8342764718456522,0.853134786083248,1.1498486282934959,0.8411541953925541,0.7096119011887227,0.9321584323304369,0.9691105769622584,0.7781232615822611,0.9444610360138588,1.182987612323422,1.1127653563077022,1.0663912778808524,0.7325592861587853,0.6746819245128833,0.6251959497338871,0.6159013475598666,0.7545775942987576,0.837843248609009,0.881057491713497,0.7742236897253273,0.7727836100519236,0.8010455965452548,0.7690252483284726,0.713454526201626,0.8277907722153356,0.9769932119736396,0.8361487474473531,0.8133855430293914,0.969853047443447,1.1582738568543205,0.8958193215977108,0.8942469551119762,0.8043368554758622,0.7387066585864721,0.6557664545864222,0.6865223952620211,0.8009252532243486,0.6851604637539641,0.7073483653923123,0.8158176335589078,0.83492132928998,0.8047328843344836,0.976020170576044,1.3040705625602036,1.023498484777062,1.0952160768997796,1.3188106093881329,1.3985298480745896,1.2627435316567228,1.1022243774531655,1.4456389301641284,1.2490169247709764,1.1243560643393007,0.9453364026378545,0.7658975031319255,0.7208440927635678,0.8373521490461254,0.8045898334647579,1.0385291959373164,1.0271383949737174,0.8117772258469071,0.6005822147294357,0.6017048448913405,0.5941311532111043,0.5753916696172733,0.5987656984067194,0.7274193927829854,1.2813723596216404,0.7189231965447925,0.8618024257668011,1.0579342672051595,0.8159701351164952,0.7915517027223413,1.0784432067187602,1.0666943366181214,1.1469983482202906,1.3301848858088872,1.946573665448895],[0.7816825006503753,0.7584111535500332,0.6384733118126285,0.5087104399603762,0.5665314342127183,0.5282520442831332,0.47453486638212894,0.5027813514304239,0.5146990120443905,0.4082429449509886,0.37741625698336795,0.4469588095665366,0.3923216566054026,0.3965183404067541,0.4270214728477357,0.40791290984312567,0.4549642577964625,0.46029138762987265,0.5441589813340628,0.5178231079557677,0.6118411714099236,0.7132244265795238,0.8439055460915763,0.9284456240061738,0.7831387782851088,0.6658956214395441,0.5638201968669802,0.4755422966543285,0.44441062695957456,0.4337554983331987,0.454876957273319,0.4151577311327939,0.47147620382456173,0.4624401613604734,0.42789807388133216,0.47177990650543883,0.4587937548358956,0.5150953947125814,0.5048908379652363,0.5848225677079204,0.6881491120881659,0.6424102995327051,0.6709939829180595,0.7917201207414298,1.2276889207722603,1.3838989954378391,1.5217406628238428,0.9782623276357484,1.5380264795983778,1.8473474546981066,1.328167987250289,1.9251598798603906,1.6398616066765672,1.7608476761413134,1.5231262214174999,0.9266691139256051,1.1330482151891996,0.9465719073967152,1.018620629550322,1.3877485102745588,1.0717059137012248,0.7158191256717549,0.5767185977652017,0.7708091096742054,0.6973615742530942,0.6452665465689258,0.6494979538123051,0.4971884897709803,0.7029036445445742,0.673446700219073,0.7473248561056457,0.9876015245126966,0.7723101048133656,0.8416662396463459,0.5731572429205671,0.8794461247613873,0.5398163447762419,0.4893436279243877,0.5151938338720391,0.5191690329576483,0.4991515527235328,0.5770393665543695,1.0699945344022417,0.5732031360237853,0.6606693776632931,0.5485597453689633,0.48383742309079475,0.5450323442789919,0.46958839904828276,0.5152220369621175,0.47604633068166574,0.6048221458841119,0.5989549354715977,0.4804731284555017,0.4512739974009698,0.5281194477034378,0.5070652130790845,0.4429856867919211,0.432256720229039,0.6162068853071361,0.46865296276248253,0.6429096019112771,0.4673394430584487,0.5403097797127808,0.7570597451562339,0.5764000658557418,0.6478936705895698,0.6209850937098508,0.5894193608632636,0.6602213999096277,0.5553494718339818,0.47267556158456314,0.4543078128849622,0.42723183329442366,0.4327249830587957,0.4508045995396329,0.5185652788314705,0.48869424429605246,0.679935281805983,0.5160084402218817,0.5278575818502894,0.49921768843391406,0.4998468240096716,0.4110211023431355,0.4198990470615047,0.43699709406168813,0.5191912632844088,0.5049652663568672,0.5243537643843328,0.5809164537773411,0.6050909923562349,0.6053124867460532,0.6252556032290391,0.5657621508673081,0.5866013435908232,0.6906963076717431,0.7148340822941344,0.5760462772192438,0.5481702230698532,0.5571204745174504,0.6851178734362458,0.7514009711899398,0.6207349080503298,0.5233679566020913,0.5269237774995575,0.49253693485737554,0.4744920993777349,0.4694180497403065,0.44875683182472575,0.47345281719166765,0.5094097713348279,0.5694877922438699,0.9404803298327218,1.5576746580627088,1.0767824245396527,0.5236052343248372,0.431634712012519,0.47790544666658286,0.44616318948021083,0.49669033941732393,0.48419202944866413,0.483880935491851,0.5427980010064071,0.568077090606811,0.6220326361968991,0.7306858267320311,0.7191349737070686,0.9862908447012573,1.010699189305228,0.8734217760298965,0.6968019447726882,0.5968239028920896,0.5619492392137838,0.5106452257119838,0.47278216718159133,0.5382181072766591,0.5411775122186504,0.6624876008110172,0.5221212637762245,0.4863400339431344,0.5405463251947048,0.5226284367793278,0.5716415915916786,0.6356790358600591,0.6170052829903925,0.7108555641196201,0.8485800307208452,1.1293168230136608,1.6810399997716665,1.187002632554396,1.1408513154211302,1.3623581719816953,1.1020240429397627,0.9883463936566771,0.9374114452862982,1.1463198472814047,0.7718076056606946,0.7042077900790673,0.6833815611210614,0.6103944875960138,0.6759590590235555,0.6274046995863655,0.6116878258286644,0.6601215153069006,0.6738902291307486,0.6980622065555004,0.681032391086683,0.7275622316519399,0.7825002809649387,0.8333946874378099,0.801146784742754,0.8594865867700348,0.9887032169272612,1.0255486642528215,0.9955744509580624,0.943914297057497,1.1077387447960798,0.9504375638880971,0.8861946683095115,0.8888722697419097,0.8721940999816771,1.4042912122457476,1.091415495767784,1.3550063175549483,0.963233607015309,0.8928171262893884,0.9296559597368248,0.9201233815922272,1.2071081109126869,0.9029655603127033,0.7824169860228274,0.9735052924584372,1.0124099419609938,0.8386142386351928,0.9925686534392533,1.1618470384431714,1.1187798352362284,1.0286345570887288,0.7707598516055392,0.7495752550705094,0.7002061702886223,0.6935592608049168,0.7944658519186522,0.8743901125651307,0.8950011979677912,0.8022065538358676,0.8374319267640665,0.8236354412975592,0.8246484308075193,0.7914371821532856,0.8867669205438767,1.0339972530983477,0.9143369560220902,0.880468935029691,1.0000155267806825,1.177010600033272,0.9446746100035646,0.9362220579901176,0.8708695342563003,0.8089529858602271,0.7484233333252108,0.7881533906344869,0.8704403190373905,0.7633097451156277,0.7819948186749626,0.8755782701989829,0.8918466773772951,0.8437798530427587,1.0030891681860408,1.3267491247500196,1.0291215244278449,1.0876848417933733,1.2527564299563168,1.324844900742409,1.2140288129539676,1.0855016045343087,1.4084205838150996,1.2564368424768213,1.1267199712928155,0.9742263715184917,0.8201768043878633,0.7940713853236855,0.8745576203969752,0.8329739022276804,1.0293246921387806,1.0111939873991054,0.8139958703485995,0.6110880217710322,0.6211512728993093,0.6106906782462167,0.7288706418073487,0.7797063265211346,0.8923024615845095,1.3826797126235457,0.8935343517250111,0.9700538105994044,1.0713886337045027,0.8029704625953681,0.8398319417732881,1.0666757329472636,1.0999452591438714,1.108791306277715,1.3146640111677697,1.8147880197982138],[0.5484453501196249,0.574876343183414,0.5098227833297826,0.39483669887389616,0.48940102022759496,0.46007614684514786,0.4564927561495109,0.47887739057841366,0.5297226518681283,0.46951324730948807,0.45457694741623633,0.5207122544626259,0.48700409287312346,0.5001676687577203,0.5239838436693659,0.508636075566276,0.5549527669031855,0.5665222942470699,0.6108125124164892,0.5972900330291376,0.6669850027238217,0.7512088873777502,0.8650885928427048,0.9550649697590347,0.8086096344795174,0.7038235039425025,0.6152436050493736,0.5742574530864618,0.556325182242134,0.5325226705091172,0.5507342726215344,0.5106854221938221,0.5203254504574828,0.5400834572883321,0.534512251639166,0.5792080793072394,0.5640600241321864,0.5938139096129686,0.5738264031561131,0.64039476124528,0.7119040805198287,0.6795015726632344,0.712778025115018,0.8584748901668524,1.2240541540137477,1.398073103378087,1.5243541853973095,1.033644260386365,1.5941400711274176,1.9226973226825514,1.4144867637019118,1.988068615696905,1.7009665360748245,1.8320630119957393,1.5552448272677286,0.9584068795844266,1.149193866127858,1.0126929693157198,1.0856445538754227,1.426776171497848,1.1141776368037977,0.8096699170237055,0.6683641392665282,0.7867776155957767,0.7516642179382216,0.7158297270483522,0.7262520294688267,0.5814956648032895,0.759730342701787,0.735334053931428,0.7928184508971088,1.0259538039131098,0.8148894006687766,0.8591060963104789,0.6346251326203838,0.8774235918141944,0.6292403083654595,0.5867060373757431,0.6229006243060244,0.6137009615149195,0.5768244337753233,0.6359870440184028,1.1041414885374767,0.6533738025448768,0.7115768668931688,0.6187188012746474,0.5518795145603711,0.6276509097698094,0.5793765999902002,0.6170511904204548,0.5647909072035875,0.6908283526483524,0.6758934529858512,0.5625054263680371,0.5368234855347992,0.5755807158543167,0.5655942424037419,0.5196357002871165,0.5116315560941579,0.6713662259105594,0.5285523405792799,0.6578960167338768,0.5313081578286256,0.5619938516069912,0.7583520318959497,0.5761325928341285,0.6153774134691747,0.593138660614834,0.5294866693545814,0.6411217419965247,0.5120852982401498,0.47447874969786064,0.4671874171953344,0.4663418483003164,0.5277256302269833,0.5568197844456696,0.634952437513002,0.5778582880268209,0.7320834123341734,0.6218308537312763,0.6267569739296883,0.6243635463247493,0.6030154807005282,0.5256567593059843,0.48240567412860796,0.45868606902594894,0.5000710614952912,0.4955112805232676,0.5039163862981816,0.5611035277333716,0.557984464247052,0.5535271485293661,0.6005871123307732,0.5420106526150335,0.583580890604341,0.7049503702643495,0.7044007439846803,0.5916564277834936,0.600116181592214,0.6232910022011533,0.7373356293273531,0.7881676957998656,0.6992853035811175,0.607441629321506,0.5916567671010826,0.5722958245459493,0.5548437205477408,0.5469460190102716,0.49987021146927735,0.4832983022861212,0.5151014946636763,0.5356209867626268,0.83283717116822,1.4639876494939563,1.1358425778113634,0.5406710944317972,0.4985723364115822,0.49311636198264125,0.5176667080477136,0.5333022904214177,0.5175339115741867,0.5489016653675746,0.6062656948478619,0.6330483953392383,0.6708578467298739,0.7837787684770707,0.7470547996145189,1.00758551378863,1.015427913728819,0.8919375473452421,0.7139046861681565,0.6293981838965798,0.6017122768019028,0.5501131086253889,0.5202904042293773,0.5797215487010033,0.5969287736976789,0.6966204638543227,0.5628346577853294,0.5373098249514328,0.5720574675820946,0.5322971289784446,0.5830204483582342,0.6548841641560444,0.6354115194922729,0.743301439547935,0.8713293784954013,1.133725046884967,1.6956961614503596,1.2189223596372774,1.1612467080982545,1.3948511068887746,1.127275365071813,1.005733978744372,0.9539150964149512,1.1638050698671127,0.7280599621464982,0.6312020881884787,0.5933350548623412,0.5207945404060258,0.553249404224658,0.5088592012429329,0.503601019119338,0.5288065473861541,0.5237941206828128,0.5785441265119105,0.5482297555174803,0.5674323289928611,0.6242524984921303,0.7055139185126628,0.640711763661268,0.6900564607572799,0.853784134915348,0.9137974148245552,0.8526888838479453,0.7673646370278971,0.9320488485285481,0.7747832303636966,0.6989193517128859,0.7080379968903254,0.8162207411042359,1.333597484383085,1.0485563164923433,1.1900935451735029,0.8405746947692276,0.7352810865183507,0.7513958037726386,0.7846745150433614,1.0464847025474293,0.7689434813818441,0.6635124210611487,0.8826333539139598,0.9056168788839055,0.7320792239562788,0.9287625131979621,1.092442100703261,1.0534503574567469,0.989045774017207,0.6728624845992195,0.6454411053985487,0.5927487084980282,0.5527441761377273,0.6780202443114383,0.7482134021762267,0.7972074981316306,0.701061143801816,0.7182175560332958,0.7164850769821911,0.7407820908413828,0.651338107127425,0.7601793005457965,0.9233221881330598,0.792910129707754,0.740843779684403,0.85294043091792,1.0540205665385312,0.803192322055947,0.7846225539800419,0.6938173533524625,0.63393208950802,0.5754685743316406,0.6174790444297856,0.6742110639034659,0.5906390365691387,0.6226362805254522,0.7146411424394844,0.7232376184030527,0.7137798373138768,0.8799935224684267,1.1589934363127044,0.9070155400527578,1.0224422230225716,1.225093961229865,1.3053790013907238,1.1537722190855713,0.9724089165592559,1.3995099886676563,1.250543951859221,0.9818937468889649,0.8379405619321455,0.6519297102625417,0.6329255192262876,0.7396651682794584,0.7006038501331362,0.9669586070711053,0.949643638683132,0.7402570586778826,0.5044730516862452,0.5297180504792681,0.5515195781152691,0.6428523648290523,0.6771871370032468,0.7560890609546764,1.2883796708921877,0.8154823480656359,0.8513148271037579,0.9648856852130953,0.7415878178876082,0.7786692643038464,0.9793262218602584,0.8983264278618673,1.137319175066948,1.1815987849912457,1.9202596523819897],[0.6390688885594052,0.5740042163115151,0.48790846354960815,0.39515658112054625,0.48729161984092456,0.5166507280154078,0.5248371593474731,0.5464021713275998,0.6167599634301886,0.5777487766199763,0.5963506312696919,0.628876844986552,0.595993950508088,0.6102673055539851,0.6496292470990694,0.6303682133361797,0.6651782377806364,0.6885289934920088,0.7437731573147618,0.7011173956659151,0.7755137464940166,0.8649037553511767,0.98451317048181,1.0011740577980814,0.9039860235297879,0.8082290024412445,0.7466160889414677,0.6729144859329855,0.6492271832249165,0.6492095932000994,0.6888834778490941,0.6288091279820683,0.6981870553913703,0.7170770450826836,0.6654966626535641,0.688827759628285,0.6633482329005245,0.712591810035239,0.6713026541718321,0.708311731024559,0.8178783939883743,0.7672183139614811,0.7753726177346534,0.8335119761682662,1.2879513397640578,1.4278268222155852,1.5970940711986883,1.0169990301665928,1.4805457826103345,1.7607467119476055,1.295132318753035,1.875972609097033,1.675747315414838,1.8314506489361786,1.5507611612688987,1.0055161085089956,1.2349869157876452,0.9771097483259353,1.0142904656635516,1.4860062014283772,1.1689581044888693,0.8388643171086343,0.7734059974707601,0.9214053254838233,0.8350438514598366,0.8238574916759536,0.7963076819030144,0.7024292559666969,0.8428709136685629,0.8838577337067338,0.8859884252802157,1.119717817525428,0.9550362529495793,0.9514447967516251,0.8223334609696955,1.0637767525460626,0.75414434079149,0.7266928416767855,0.719658844637786,0.7079367594799326,0.7020930370064495,0.7314434698700638,1.096603368486368,0.655509206532183,0.7675873705354053,0.6778266999313136,0.6765038340861196,0.7660185430443304,0.6880053147486549,0.746899742836373,0.7215334025137553,0.8329816814056888,0.8080612819001521,0.717787407393403,0.6874601560470613,0.7364444765114471,0.7535206471355654,0.6894620381112195,0.6542824385665131,0.7520145513836806,0.6134726512053778,0.6857649982440398,0.5746425479943769,0.5879938005997669,0.7415580431412375,0.564653808916371,0.614586262757826,0.6043202069680504,0.5449342005474395,0.6662853800925834,0.5145255601072236,0.5199535014851515,0.5459810715618851,0.5405903183552241,0.5820869588117487,0.6182663975936378,0.6672102340122328,0.6703125860324892,0.8346147253948568,0.738215543846504,0.7462877107325433,0.7067518675549846,0.6631117521847654,0.5820296548859057,0.5361264893461546,0.5797572564495866,0.5049686058545352,0.5267759013633299,0.5018396529254218,0.5702369441665288,0.5567952466629441,0.5524067002539845,0.6107734363261452,0.5620320984296334,0.6282531184194636,0.6930154826844324,0.7092923234252274,0.6441233500043436,0.6352612168902396,0.6443649773090143,0.8015567997457537,0.9008971403060961,0.7561859672485453,0.6642521458977649,0.6901840509447351,0.6642617469616775,0.6370071907623894,0.6186415563001333,0.5371950783296172,0.5813621148109793,0.5466375820984534,0.6564714066267783,0.9461994000350801,1.5924593286333861,1.2675262709714457,0.6429282907135314,0.5805137122514461,0.5365080693038451,0.5657650825041762,0.5507023288475111,0.5881853884798475,0.6260746805100256,0.6475407818125224,0.6647129258524577,0.7057515924149246,0.7848924397517665,0.7828827276751764,0.9711818857226532,0.9590535329842561,0.8648997618940059,0.732839494579226,0.6511971443351491,0.6442930250478092,0.606787713395027,0.5732288868689894,0.5989079968907672,0.6043324647477227,0.6837270042373249,0.6042526018558412,0.5835715131613546,0.6358054883011152,0.5580524954602111,0.6086202175076193,0.7017040229154474,0.7251646935917068,0.8451570258564174,0.949893478077772,1.2454122076232519,1.6957191151713966,1.205617022714013,1.1677409255677842,1.4295241352959862,1.1467463258098127,1.0282217363590205,0.9444288214331523,1.1303303615217513,0.7279878387507807,0.6334541277315069,0.6015562036075358,0.549853227810702,0.5516148784542899,0.5525219125783515,0.5352334933112712,0.555483078122548,0.5448704210564972,0.5989342655395331,0.6226601627448622,0.588050110539426,0.6188423007777027,0.6718776525565603,0.6092030347839389,0.6572477074659303,0.8209228444360334,0.8558478845654008,0.8055665143332099,0.7764284229043729,0.9020298137560332,0.7743000410027546,0.6817798337497724,0.7057817354532246,0.7937933570823651,1.380980009175134,1.013203504406533,1.1924283637909505,0.800762507142198,0.6886169295649806,0.6910992983220884,0.7371461372496703,0.9842434035865235,0.7321186170415322,0.631812343507896,0.8402519432214594,0.8595019972340417,0.6762882684673752,0.8958859381952166,1.0794112745094488,1.0028243415911466,0.9905128034820706,0.6522145501714602,0.6515875900850863,0.5779177062972406,0.554152756890227,0.7424663155591131,0.8099659587896778,0.9148299450790519,0.8021792593311069,0.7361520549686157,0.8127660107162684,0.8194738833210152,0.6859284120854974,0.8075938816038184,0.9761513175298865,0.8202496703680835,0.7625383772582303,0.8978648412227871,1.10788324866938,0.7915549842802312,0.7723107191257945,0.655746483815467,0.6215810134881664,0.5729505166263512,0.5955655031983154,0.6538687856660615,0.588035837960905,0.6058190039960263,0.686085809454711,0.7022419155860266,0.7005905114664247,0.8495423886124222,1.080616731110778,0.8850241849557777,1.006834750439601,1.210461529230623,1.2826779294835409,1.144805907255746,0.9616215297948997,1.391171033605513,1.2587400494431427,0.9864395773709378,0.8476383026007637,0.6547407099927351,0.6019577564195372,0.74279811779347,0.722325007768813,1.0012877146241772,0.9792122144161944,0.7651264164185078,0.5570308937535309,0.5548116454075229,0.5369660500415308,0.5895949302076763,0.6191080826439865,0.7211888596434691,1.364460536172784,0.7536505401124958,0.823985383120478,1.0018968585033277,0.7727532056580416,0.7322561989207179,0.935616072260861,0.9291311283077837,1.0609593756879552,1.20802128608115,2.074802994807012],[0.5867699694444328,0.5013993048364753,0.4247885047782504,0.3094011625103927,0.38932492738499885,0.335252348510002,0.33167805222379165,0.35931409958951865,0.39700784510598375,0.32840520817841073,0.32108461224857743,0.3788114584944304,0.35354692076193195,0.35255576005436806,0.3939770567582095,0.3742195439721228,0.42201677352969824,0.434733705720103,0.4792388211384193,0.47102658733268304,0.5441077754846848,0.6560567066585141,0.7479008258297773,0.82407492446734,0.6970099362569092,0.5926999738192029,0.5207159413583466,0.4409683606194318,0.42433074002082705,0.40674082890592306,0.4172856262821017,0.3788604738487055,0.4017713173264423,0.4302151063126485,0.4046100298997415,0.4513293966197823,0.43420267390325923,0.47728017265620654,0.46617114511095586,0.5358935711145666,0.6425016765121351,0.5916842219586705,0.601732904645309,0.7176617370192299,1.1234796255700354,1.2734434281481386,1.3758810062242437,0.8740650587482349,1.5485564040683422,1.767060476887317,1.2166526534559818,1.8729374417032179,1.589354802748516,1.7157596702519609,1.4730194891922093,0.8672695548844565,1.1157415757042726,0.8908863913056156,0.9870203370864731,1.355878488238621,1.0211692589258228,0.680015444336128,0.5447890813777674,0.6951501596672077,0.6292387148114672,0.5932105316004599,0.6007726124900327,0.4528762159143412,0.6442730146809303,0.6384008770058667,0.7172161680761684,0.9524438522680589,0.7202144373434225,0.7577111501164306,0.5453047110488333,0.824502817174029,0.5122445474174941,0.4601157948710247,0.49390523658571556,0.5014765547949818,0.48783941911561784,0.5496523418488106,1.0142073936451896,0.5182953555654,0.6376442255566117,0.5118105692192467,0.44499957095677234,0.5493155789462493,0.45696126176519464,0.5170237128090195,0.44739105240999294,0.5852238826212455,0.5624951875684103,0.43319929923312184,0.4052972185493309,0.4583245465430164,0.4819700610781368,0.40726629752142707,0.39487753080657745,0.5725672454102044,0.40720141895090844,0.5519555703215654,0.40146188330085125,0.44935138164495986,0.6432058881559269,0.4797438418427546,0.5265106544267157,0.5132614924428267,0.44772451563033067,0.5738336741341789,0.3989744634903587,0.3720379150756809,0.35758873003475067,0.3672573903687212,0.3947655633186999,0.4156321739814112,0.4958398425266708,0.4382382938570319,0.5906869856157201,0.4932633381273333,0.4964583034591963,0.4955150755574317,0.4619551547747033,0.376989977917137,0.3518471059838477,0.4082332745460849,0.3935815485041408,0.4196764592809406,0.41430145858233974,0.5029155109350341,0.4905666740203291,0.48288439403224687,0.5491799189197756,0.48453856076925717,0.5461560109927568,0.6345413042328111,0.6778287399271017,0.5239371509124418,0.5150975156659057,0.5229659317347088,0.6823451811459781,0.7198887445799999,0.5799966108414933,0.4836610047322736,0.48566383211202613,0.4546268198670737,0.4315010009894921,0.4277934613950734,0.35511213205024106,0.36652367852314244,0.3857141922655171,0.47051645064380887,0.7822745417852918,1.441437549648079,1.123915400993933,0.4446221488048865,0.3660640682281208,0.3459597693090683,0.3770207958176497,0.4135727162813516,0.4196113962256571,0.435198495369168,0.5007352140111955,0.5240018918872608,0.5824595707326095,0.6841640295408092,0.6803512319964189,0.8835235434132623,0.9320930720947118,0.8236435939574225,0.672873518718664,0.5412583649755941,0.5169842980348457,0.46051871677195827,0.40970747097291416,0.45889816913449416,0.47500367820497663,0.5878979760471186,0.45439735212866034,0.43106135160034675,0.49464961851989425,0.44600094322815204,0.5203876038160798,0.6026207029144136,0.5906103398947319,0.6815637367433722,0.8145259904476393,1.1036956512145462,1.6426722427747709,1.1190932590446425,1.1175084129045327,1.374567188980534,1.0935972729945163,0.9613473995883577,0.8583463043832266,1.043372458158691,0.6769852531640741,0.5542606796702757,0.5172793313250444,0.460020459120929,0.47216082834461826,0.46927320534877226,0.4451091104792406,0.47759914540043874,0.474736816147369,0.5340736808685904,0.5410256016831368,0.5054630339893982,0.5660449257315865,0.6194595996889803,0.5486190348323139,0.5976237580028877,0.774820484228781,0.8222306622147335,0.7529427173257052,0.6907264484789671,0.8206212095626194,0.6555879778109956,0.5839247105232066,0.6189927574905164,0.6946352175393693,1.3727153321887262,0.9426762837051589,1.167015178984083,0.7758110182014655,0.6293556047015944,0.6470500130427096,0.6603161431083528,0.8878580274242432,0.6596198053363794,0.5595390902507269,0.7221013592922734,0.739822598182874,0.5878926185433067,0.8477033632576862,0.9315420331589331,0.8771039136429456,0.9149375121896062,0.5691763341525558,0.570562420669798,0.5285231453565117,0.5287432017672067,0.7172199654185386,0.7405241206722059,0.8501153334836143,0.7278302061488141,0.7093050757862885,0.769385759568342,0.7574667459072498,0.6412823897302892,0.74179474673251,0.8948658012063614,0.7487111196062014,0.7045857117226928,0.806496881522148,1.001721616346545,0.738080865383644,0.7110941770289537,0.6159965622169135,0.5684673871659691,0.5265483700029259,0.5570854105611875,0.5806929317862389,0.5210211692019322,0.5330103994323323,0.5931904291366035,0.6156613148482389,0.6219005657505247,0.7569515823408849,0.9770721962993658,0.7881950582595383,0.8923782223507991,1.0990513715251713,1.2029366426267085,1.0491592732036727,0.8535340864340328,1.2839400112114865,1.2068030257298348,0.8400008214931636,0.7429319281973317,0.575489072161162,0.5356876517481585,0.7108820135385849,0.6630861951238476,0.9060757172406709,0.9431948215238842,0.6947051839107293,0.4789718135291297,0.47787266863756894,0.45568552968821313,0.5251314890084227,0.5449318561284503,0.6540194813017862,1.339041707995818,0.7109422630685825,0.7890651519624897,0.9749989677824489,0.7098391062384439,0.7555273265968683,0.9080771451032386,0.865492211496246,1.1417200390913715,1.2057706347234454,2.310994283097298],[0.7469453489346753,0.49570534313917003,0.3634121014296344,0.28999861591826515,0.3599938398967786,0.3357612893550186,0.26548680405885355,0.29758910684683676,0.3671697037769646,0.26688616974394963,0.2828314418847338,0.3553200591700487,0.2647578107082681,0.27784671606044326,0.3191915246043693,0.2944878824255791,0.32780996698262355,0.35423332432241744,0.411965494177066,0.3818275159540642,0.43529565551303767,0.5900982888791602,0.6713356431153167,0.7656488133277378,0.6199783353337113,0.5354597181830945,0.4417819874938954,0.32841854328964926,0.3298823768003076,0.2920602033435906,0.33569264383266023,0.32221763055039393,0.3812059347067506,0.3524531402263316,0.31357736837226186,0.3325876856874834,0.30577387243363735,0.36251824059779214,0.36209520264689343,0.42221354804136835,0.6224221956868602,0.5322287074801225,0.5108858218510532,0.5836274674125351,1.0123784368440476,1.1048060506933914,1.1349754245806198,0.6648961214753187,1.5333219049617006,1.616551651967974,0.9598753806309044,1.6688304060479515,1.3769639947300365,1.4256627581638002,1.4712570645068916,0.8032163699886296,1.080481535131009,0.7510700628435626,0.9443217470114448,1.2712451607104034,0.9439094381181773,0.5794272144683413,0.43775893904829954,0.6540462387659168,0.5410005558802216,0.4881200721958559,0.5462834007282934,0.3833606873732018,0.5832087736995789,0.5504606010821451,0.6883532244399879,0.9489395322474956,0.6624732160195946,0.7120377043777985,0.49432893186196286,0.8832320192971554,0.3998530353139849,0.3383261402837504,0.3335593141174162,0.37853170047731544,0.3900083714343795,0.45953953639460227,1.018469252752066,0.3769879442195814,0.553545309498942,0.39290707998618035,0.3334065364094789,0.4440695247616431,0.3282524840068403,0.4375152671275116,0.35580053592440447,0.5007311697965385,0.4749118956342601,0.36716249021906816,0.3532895354515464,0.42567175650389083,0.4617893442254487,0.39554183052130953,0.3839520427216191,0.5979254091588405,0.34235252564196683,0.5110883538336127,0.31505743133548747,0.38625316178699376,0.5077664647471798,0.4287693728279063,0.5343845956576371,0.3774917207530188,0.35939767167222375,0.5740901818702133,0.29430961120502275,0.2817070833051442,0.25095116875737816,0.2842449140568839,0.2787689804916235,0.29072607690780766,0.4007845429306828,0.3302484170069702,0.45472008359210203,0.4314341554292847,0.4107349574622215,0.41039371588296203,0.3478380943909523,0.2606585475056461,0.2532603353509611,0.32835567570705,0.27607478866494023,0.2860609915799557,0.2834149932533805,0.3436467980136063,0.3532015925398673,0.3555276849087981,0.36486732201670097,0.365299779513263,0.37693267922527185,0.47854244054129363,0.5428203632813999,0.38344778031282706,0.39358337790072273,0.3895995019521723,0.6200406619228547,0.6228910262663531,0.4653667919083018,0.3588634256905156,0.3979498589971834,0.32931135588466276,0.2973703300394,0.30087463645029444,0.23493542650548063,0.28908300120694586,0.3272042100509003,0.45202465045751206,0.8179287089445109,1.494703343891713,1.156774513713027,0.4377496882043693,0.32115472712437937,0.27759110183421026,0.26892464680884565,0.3201947828541233,0.31980608848367714,0.31375255872484936,0.3441524275888154,0.37196051537101676,0.42610709724799634,0.549629527962869,0.49925753306101084,0.7055083791575647,0.7918806216544165,0.6852153221291019,0.509562514902673,0.37352497933088824,0.34829911671418307,0.32066331455169317,0.2707425498406639,0.32725170704686973,0.3486624888721039,0.5308820314354241,0.3225737509751207,0.30987783504232547,0.3791133536007535,0.3058703537818375,0.35037706589003453,0.4188988935042581,0.4335149799690554,0.6014108439045839,0.7854606340971712,1.0693765460717686,1.6123506622529067,1.012864870083551,1.0621377950500068,1.2346963742005803,0.8962448225187094,0.7608054115593715,0.6173819049876241,0.8421515016554016,0.5966062465048347,0.45088281325474994,0.4527817399205895,0.3810982199158696,0.3967975858237439,0.42063657692571876,0.37960545824751885,0.43730563722562643,0.4377276938690116,0.49766603305338153,0.5566963914596659,0.47551805984650336,0.5637221027661579,0.5964643990307386,0.5275534328469429,0.6041388695201055,0.7813125875305111,0.7749285654748739,0.7258052114553346,0.6664800342303058,0.8214158982300892,0.6330051272404211,0.5847710560549821,0.6149756237629903,0.678037183211482,1.5119735389774436,0.9271805597007358,1.1536988583924752,0.7568495288779404,0.6090828736842595,0.5967666273104296,0.6049811798708014,0.7626898938331375,0.5559206959209824,0.5286147725091184,0.6431333683457547,0.6957765939331617,0.5207697203723491,0.7058213714544616,0.8198430528628521,0.8266952358853107,0.8560136485556896,0.5009449166942676,0.4819370024257981,0.4603548449223238,0.5254664558074301,0.7176413540381129,0.7893505507140418,0.8786487333633658,0.7363351346765119,0.6998135200791803,0.7911872893986259,0.7430542838208672,0.6451402214227419,0.7814097050274259,0.9299651322691578,0.758163958480023,0.719517448517723,0.8498075589555432,1.0216719210555074,0.7522925414202497,0.7361026774321224,0.6171823513875156,0.5680168400468283,0.5274673938397618,0.528802470360367,0.5470839062245917,0.4943762923512237,0.48691242837515836,0.5514053265629281,0.5894613450503782,0.576151270385651,0.681067383038908,0.9242544846402605,0.782823714172064,0.8391212924700875,1.0252784322762785,1.1396488072927962,1.06751023786692,0.9060924755694606,1.2016626872904794,1.0925329319228505,0.8333258219449812,0.7007108880890714,0.555127862931414,0.488890394978879,0.6788555241750344,0.6978303857012977,0.9235049073537095,0.9876297191634964,0.7263558372958282,0.4830729000674011,0.41284510092582,0.4195453967095542,0.42855147989750564,0.4696935842565215,0.655090680120511,1.365753316411374,0.6108054888139318,0.7980710332979187,0.9823135194345817,0.6745268020103178,0.7375639696374525,0.9668287074499158,0.8918306521659317,1.0552543325396577,1.1897022289551475,2.0912211578086293],[0.8282387062010511,0.48059635500479064,0.37129822422382097,0.2587862094135266,0.30887486777716366,0.3180364978249964,0.27475147561238755,0.2998259282228108,0.37446605055099585,0.2529102123369001,0.27789202320024625,0.35009402368246934,0.2545238352009373,0.2643604418006556,0.30118794662731235,0.28323919674104026,0.3051613071886875,0.32895367063715064,0.3740167854626256,0.3559211749670931,0.3909991020559691,0.5710593235645919,0.6133937142003661,0.708762595219989,0.5680690902161403,0.4999284737355221,0.3935332637463358,0.30033495339481564,0.3055316460980131,0.28762240818057216,0.3279145116411239,0.3191152377375396,0.37788246071934356,0.3407576682274887,0.3109580908120125,0.3237605634079425,0.31073770277089974,0.3319939790044695,0.32656664116141937,0.36441209881493086,0.5822827230166,0.5047124970340453,0.47092455862740845,0.5359749237159501,0.9239594484043891,1.0024954884040436,0.9970200095115138,0.5848113447591611,1.5779822649504405,1.5632483936890065,0.8963837080814364,1.6175832146500086,1.3317913831242367,1.369163924689401,1.4674719794311837,0.7843144936056071,1.0758090820702049,0.6992912184882487,0.9316441629763066,1.187765492257599,0.8893630416739006,0.5825773697341589,0.4310086033814809,0.6193356637436183,0.5126528341879788,0.4628803292557519,0.5411987396727034,0.37217591264564226,0.5699153379559428,0.5160497241348999,0.7000076380483525,0.9397190291434075,0.6341582974620422,0.6708346146085133,0.475972304133178,0.8486505509491711,0.38938024846272506,0.33099948789921263,0.344526762654361,0.34608772694310697,0.36681393580563404,0.4378120398115393,1.0498137031588595,0.3464063914846169,0.5089621721699679,0.36995756857506146,0.3144238894073398,0.43190219842790245,0.3120455919221409,0.4334085004699801,0.3392288332693777,0.48377041885887156,0.45786905559702046,0.35273390192220017,0.33560466636416686,0.3978710152343653,0.4318907896793367,0.37742521881140206,0.36862052598994605,0.5757246629006214,0.33890368595097603,0.5188277652097657,0.3344876046206862,0.37661574142597287,0.4937214888790055,0.41045902391964734,0.4915742754838933,0.32797530348675724,0.3174378432702073,0.5433948067511856,0.25249553071760916,0.2527612193994479,0.22441620200081983,0.25692612121512104,0.22678848678559654,0.26502776691446644,0.3655970778498344,0.3173094443542212,0.3895755458787206,0.40186272934980277,0.3754877884342233,0.36064492927574726,0.30959747557645606,0.2142303719810831,0.21303167761926714,0.26565281960834275,0.24915772403448586,0.25864999691405194,0.22713990347897559,0.3284148850099973,0.30713771995441114,0.2985806287107337,0.3337134509454975,0.33324380920182195,0.36440200959432917,0.46666457391754196,0.5080532198523228,0.36027795713198374,0.39999295351222425,0.3683279170114584,0.5924999743358075,0.5499014332011695,0.4152303517604246,0.3394316707838958,0.35969135428291354,0.29855474448771036,0.27040958147988076,0.29476190061817215,0.2222326489268356,0.290882333916434,0.34492057389364383,0.4680802712634418,0.7861931097259443,1.5037087822796584,1.169017260036058,0.43923416993778996,0.3200967558191478,0.28375961850927023,0.28242731653786385,0.2972155330286269,0.3011651502477228,0.29585720410377725,0.30900725954890784,0.3239294180208045,0.3901275580700034,0.48609714820616284,0.4588147781540941,0.6484826035046164,0.7486702278467395,0.6673317031751572,0.4800599009700549,0.3569732953208026,0.3126983775081233,0.3088304604971061,0.2523203589294791,0.3398691695824752,0.37880773079862884,0.5573295839019567,0.31517579600007517,0.30016821881007594,0.3466464701864466,0.2915051274409907,0.31380319655305283,0.35662407381582156,0.38164360575264794,0.5533770186240692,0.7248304056252495,1.0222917287028364,1.5418010383470784,0.9416720274880336,1.072874366348695,1.232310433449611,0.8579529547763369,0.7281065337127537,0.5449483807221077,0.7291826112679854,0.5747223731596232,0.3891374627095367,0.38526220534592315,0.3455621369609446,0.3438444932224839,0.40265907398282863,0.3504960014615484,0.38700605711492964,0.4220055622797117,0.4996181833733927,0.5627457650229427,0.45438666118259063,0.5702136523529729,0.5838912145394405,0.501657726461398,0.5762889572805006,0.7580339628746983,0.7301810191434333,0.6555264172529782,0.6108044303549514,0.8093764537705009,0.5675316786214814,0.5167982327459696,0.5631712328382684,0.600428114080065,1.6250093586647651,0.8858996426806443,1.1559089285316226,0.7679304620520564,0.605494835532822,0.5762359838375348,0.5630381784019303,0.657213210502514,0.4924038194588452,0.4874896173931594,0.5624703700116852,0.6089076123088176,0.4390450147412358,0.6659733327207398,0.7264672199795401,0.740916620052174,0.8057669214063503,0.4199298991345917,0.45046581964929566,0.4505873996528432,0.5240828684118785,0.7372467951480429,0.8032471316036273,0.9034609341913957,0.7423250986428833,0.7381811222377652,0.8426115416725023,0.7661433831432337,0.675528640670413,0.7971755274453051,0.9252280107294673,0.7558933860657228,0.7304912511183079,0.8470312543339359,0.9921597985461481,0.7475125738471028,0.7294890548419872,0.6225308712811574,0.5818543601215503,0.5471134453134984,0.5484140372490579,0.5146759555033319,0.47493219568216294,0.45945651784426594,0.48608007826119726,0.5256966895544786,0.508614338423888,0.5815422045887164,0.8088916872657851,0.6952748865387591,0.7307499004218371,0.944877972556364,1.0806031748894032,1.0054988753342051,0.828448331642232,1.1657972845911002,1.1175425908723662,0.740334266241468,0.6487084684608176,0.5103415492812684,0.4754226259913961,0.6895283480428434,0.6719155414514806,0.8515188561631507,0.9414754586260695,0.6698878462678474,0.47163973009447796,0.360199880132128,0.3602518817008718,0.38887996758060106,0.4403420928769871,0.6808262537884052,1.4876243128939712,0.640321773875136,0.8580198701081806,1.1266978454370904,0.7736231074773663,0.8417956776565896,1.0484576102291399,0.9596460991322646,1.1890306486271802,1.4093672175628595,2.602214981019447],[0.9510275201140372,0.5197636108281007,0.374597577994452,0.2893185151050249,0.34508612694722546,0.306034658444834,0.19664922291586495,0.2690594219964181,0.35420379870995444,0.29773185680230374,0.3399155720306876,0.3948819199816727,0.31520364100620135,0.3181275651161222,0.3656149660341977,0.34767260499500824,0.36328435259813857,0.3899697759895237,0.4225394477546127,0.3952579759335736,0.40409663557327175,0.6039530183281201,0.6008947762865186,0.7005864560268936,0.5591615773869463,0.5124360128273601,0.40350697112551265,0.33682356503258254,0.36134286536101445,0.340639617138576,0.38405535103688143,0.37934025195876026,0.4467566448505418,0.3948752943561261,0.36515367027228757,0.36469750745226104,0.32874427817268526,0.35456171427322347,0.3488957909305591,0.37321932328092794,0.6549080446085574,0.5298577163490342,0.4959208438065656,0.5771870112554153,0.829876134152265,1.0112658156713092,0.9017595008548189,0.6130772936758988,1.767921575261809,1.7264827987637554,0.9361391011675528,1.6151445019203292,1.2741593923001366,1.1921398307882458,1.534020934659084,0.880212297096523,1.1191790529235817,0.6602259529376339,0.9675427917939728,1.14411716603235,0.8309646658107739,0.5687840389977667,0.4285227947224029,0.6396374734331407,0.515236879455999,0.45412139093951215,0.57854521348292,0.4506133964792692,0.6021827097459954,0.5380252401860433,0.7947674762429514,1.0049767811932497,0.6875265031902519,0.7164134428365938,0.5210450494171504,0.8876142253360012,0.4260244349291599,0.372542268121812,0.3642271512969593,0.38963942680716207,0.3882617487279025,0.43966461672093604,1.0487372050736237,0.37848517760663125,0.494716923151342,0.3742756677458902,0.34414351271921595,0.4016538682231494,0.3515667349643145,0.47307067644163464,0.39035352785456606,0.5202595712253364,0.4772521693998974,0.3869715204815428,0.37862375208515303,0.44629994881976215,0.4866342165625233,0.43830796858162246,0.4244902012963739,0.5977045887419515,0.39539247691369134,0.5340391761021929,0.3707838178830349,0.40429095985915486,0.5103170968518735,0.44733452848822325,0.5900488879798921,0.3196818254652774,0.3245483251765014,0.5792970121179664,0.2585406215593546,0.2796022619616366,0.24057220434690363,0.3418792554581009,0.2897466128586285,0.31252847437376563,0.40103378822169566,0.35793289371289594,0.3778216728609954,0.46142042768839264,0.4103367366724779,0.40261453136689096,0.34946766186486355,0.290193137898269,0.3082509804652793,0.34288381955603325,0.27306062534158104,0.2867129814754646,0.25120526904224844,0.3371830489049777,0.31931009487353024,0.33295404149032254,0.32157374935575456,0.37824653601017993,0.3606561531279391,0.45135606521769056,0.4972468861651142,0.3901353880894654,0.4288121430399519,0.3817151409711486,0.5760044899721377,0.5322540112777868,0.3978742672279265,0.35815504381448826,0.3986830682035348,0.3417606011573235,0.30569299406028183,0.3232290955585296,0.27795850395628763,0.32625971867222686,0.3667465485112701,0.4381729787079455,0.8514460301256718,1.5112329045348012,1.1190780667512847,0.4573761042243164,0.35269797471160086,0.31282413602854714,0.3175447316146905,0.3470433378099424,0.3330164137785055,0.33682177041914485,0.32642925414354856,0.33635600785213754,0.40522381077550895,0.47925797305023465,0.4551798668666277,0.6302947419951569,0.765139340803262,0.6631315232749219,0.47726748608356295,0.36912956212285025,0.3422180203396288,0.35050562200792607,0.3140033632703778,0.3587092928329188,0.3956521556158451,0.6096595137911119,0.348254902647236,0.3522233804004879,0.3936606656182823,0.31745027327842623,0.3218003031759437,0.36071826170486776,0.41209207684365873,0.5886200673413099,0.7481663754627059,1.0045141743197594,1.5340158548913017,0.8997799502294577,1.100646351149678,1.08598371006412,0.7642658056155845,0.6505382404546827,0.4573062333440679,0.6379215385166374,0.6173096708934315,0.38385261389031905,0.40113891357752574,0.3633180183374046,0.35393983210764307,0.4033926926960079,0.35140508031429213,0.4083868060661223,0.4352366397227016,0.49533307587513065,0.5851257007535513,0.4629427767245505,0.582465437612716,0.5778693351458779,0.5186652541859168,0.6053515074606709,0.7752052650599462,0.7379355318588644,0.673186103014029,0.605833210957853,0.8249332262147386,0.5842858541340573,0.5581755377172116,0.6050271989184172,0.6408315040508279,1.7271074390660466,0.9038104132103002,1.1774068183370336,0.7750579231587119,0.642140655119449,0.6144395564191448,0.5777309627177606,0.6805676143738124,0.48633073482430383,0.5044945399948654,0.5316189304968787,0.6064833926210575,0.4432347641842994,0.6523298135714385,0.7038498185546109,0.7453975335610019,0.8113053563413785,0.43537670468504314,0.4450011728811778,0.453368825836592,0.5567524656993036,0.7665910181072125,0.8736584050403031,0.9370878506109063,0.7759980249908897,0.7598716681628446,0.8617898508375759,0.7818790747762866,0.703563369748509,0.834616890536948,0.9634506825242364,0.7820622430706018,0.7553947976915326,0.8825823629419878,1.007039587247754,0.7697359943223144,0.7599688112160327,0.6451555576394749,0.6055288505555199,0.5675070714708036,0.5529885063480376,0.5347333420533816,0.49357596962026595,0.48193827470947637,0.5118092932134247,0.5524030340732139,0.5214010533134817,0.5904378378530839,0.815580690117698,0.7236274274206029,0.7267782801098824,0.8995331206299993,1.0253987335958072,1.0145313113158312,0.8674589765568497,1.0604850415328668,1.0608756612879775,0.8255470452130167,0.6802398759798811,0.5550373121129613,0.4968656125491773,0.7222769930117233,0.7528361651883658,0.8941990111315304,0.9892257828540871,0.713690076682919,0.5003179559104791,0.3832080231034801,0.4149352258268942,0.4068339093503279,0.47550157295591283,0.7370178029213204,1.4620021208993583,0.5941574821221962,0.8776635636921168,1.0605468865904988,0.6900412496127127,0.818733604571795,1.063157572904196,0.9360924136979094,1.0931364440418216,1.2761935910345645,2.200417624492642],[1.1164364065878143,0.5411951632034803,0.4930695106286421,0.3367632585512275,0.35316391104911027,0.3511781566379452,0.218554172100482,0.25593011683709715,0.28511933942482903,0.24875902132566047,0.3184594626933413,0.379627705050098,0.2858461525888687,0.27905495427573923,0.37475047462836725,0.34106032890492993,0.35579404906169004,0.3954567784927836,0.4099090456613344,0.39033524341125386,0.39729075882142784,0.5712683929957753,0.5294630317330059,0.6552921904057104,0.4888249673654256,0.47547137889085456,0.3789373316696946,0.33601100640624343,0.33774628278584606,0.3336060120336459,0.3920135864802159,0.38819136869018206,0.45080026129174006,0.4049085521787956,0.36653101388398424,0.36325020649870055,0.33032310343436133,0.33063357225234496,0.3153318527042783,0.31551022036494736,0.6113524214085853,0.48707227543747494,0.4557935239271887,0.5655535446843031,0.795801613324146,0.9720032136451351,0.8326831735295712,0.6033499875562613,1.8961533828549135,1.7143437938036072,0.9643918240439106,1.633903779146366,1.2427518624689153,1.101923602137961,1.5615756709410915,0.8872309188035891,1.1315786893561945,0.6119536192648315,0.9916708478673865,1.0184040629038684,0.7817824888569861,0.5808613587137548,0.4453997177928676,0.6644773359207339,0.4978419259499297,0.4637421820566614,0.6104349567709328,0.47503300062074844,0.5909408885319756,0.5387733063848321,0.7982160881326642,1.0618917894548066,0.694223089777423,0.7039969735335135,0.5035267061153618,0.9170220134663118,0.40405110901150343,0.3816984668994804,0.36707113264256414,0.39945949812964193,0.3798195112690891,0.44096268384202514,1.1275241943681042,0.3994127790282633,0.458435113505435,0.3836968132683689,0.33266605080245915,0.4193982064666048,0.3425970221097956,0.47273944821889524,0.38439672551850895,0.5210347956578838,0.4741528640913425,0.3951334995449541,0.39215695006833584,0.45224016013663826,0.4799400915803938,0.430741350187101,0.4193053951211636,0.6305686508840367,0.40072678279378576,0.5579786640942987,0.37907768703427236,0.4256069546324201,0.48680754645910074,0.45519230102560154,0.6158737036984434,0.34885491932286244,0.35955775425159536,0.5684268980014598,0.28866311464740335,0.27086674797479904,0.22742306039373808,0.32348766303899784,0.2839424703876219,0.3136289427761903,0.37382167210736894,0.3547481741627753,0.37745018457521234,0.4785891696074782,0.36757982281838764,0.33613824718819846,0.3400393158250578,0.29066586019506324,0.2965097798453057,0.3132430579865571,0.26401007153943146,0.3059096325678673,0.2585386805063397,0.36134607819075115,0.3232270829780623,0.3436198132748825,0.3298365909732089,0.4185246981685013,0.3882910753158777,0.45940192696081505,0.4983150780340144,0.38137593754303145,0.4483685377214781,0.3751427336894746,0.5840969136034234,0.5102320937560542,0.42233006465150236,0.35710287528059725,0.3398497678032269,0.32160965569735434,0.2807257452021325,0.3025255871120287,0.2712622573976662,0.32413437892930813,0.3806653027821211,0.4664553574279735,0.8868750072747338,1.6001361582329086,1.1953284202741816,0.4846192574393164,0.35049753355587754,0.3376746124340651,0.31578710267499505,0.356050905465501,0.32367483033005345,0.3249295900438124,0.3446716102476802,0.31366814362458606,0.4478643319437445,0.4568285537153205,0.436817215100842,0.5733883913177393,0.708267806675815,0.6435839196271194,0.484991594497338,0.363640448230665,0.35255086359266014,0.332936968867629,0.2863717895712304,0.3603290534386204,0.38719399973011864,0.6343242328202381,0.3414329875772902,0.3838289831928051,0.34248758013768965,0.3288289779410423,0.3345090711619163,0.3441300008437236,0.38394906531448625,0.5250259889885198,0.6625260475858337,0.9528209522132922,1.40371624564125,0.7885664789910518,1.184489919733968,1.0359486746372726,0.7267606346266877,0.6187036603146294,0.4213561681691725,0.5451795149769275,0.6631318801933328,0.3631968620805449,0.385285507209083,0.3669354372844151,0.3831432823925403,0.46822168316654583,0.3848839729394947,0.4413021463287857,0.5014772969653152,0.5528234980674605,0.6749342371892569,0.5379929014457714,0.6554642388376509,0.6119966996216317,0.570222339299058,0.6491141713618019,0.782315373449488,0.7317398534395686,0.6917959332691358,0.6580063148917284,0.8292182551685837,0.6239181226774909,0.6121044603902949,0.6648396072648762,0.6843936069378516,1.962010224041218,0.9388009586816998,1.2231767886398008,0.8460351650947782,0.7601248548760556,0.6944810712080831,0.6449210305796236,0.6792315198882122,0.5168826598775128,0.5512969669082206,0.5195414060308978,0.6141546707980449,0.4450957583873902,0.6813440186594524,0.6309968024173571,0.6978275829813573,0.7695774652799808,0.42749552155346615,0.5029016375734401,0.5345260871341596,0.6477678566300883,0.8730064528025133,0.986731835909087,1.0195470255304153,0.8594573623913877,0.8516803027399499,1.0044978053777085,0.8584243514069699,0.7854247637159836,0.9185575302867584,1.026375138045967,0.8393539904089982,0.827309336584456,0.9626691916214324,1.0262808285282412,0.8191927621790157,0.8226342806304179,0.719421196221055,0.7041611189780209,0.6597976300708789,0.6602306336418474,0.6095418893234921,0.5726461332394366,0.5414722232416567,0.559144433090379,0.5877308649048222,0.5416864211095447,0.5810282576670537,0.7585109767982525,0.7165219909413599,0.6998282316410477,0.8584856392003627,1.0041115763027946,1.0120385321052239,0.8671943638838748,1.0183345191735798,1.0176212607744541,0.8438296544537187,0.6897286405107613,0.5904985960127259,0.5784978131159662,0.749460877595787,0.7678879710140337,0.864279679752599,0.9450853383735676,0.7017543979780354,0.5300807090947467,0.3796063458262737,0.40323401517001123,0.4202944201046604,0.49246489471555527,0.8377573767714082,1.6136700070695655,0.6097454990695572,0.993665656791175,1.2695801677233052,0.8526009078209755,0.9016270195817018,1.2702024735600295,1.0961736738689134,1.0627414678726,1.5001950291988406,2.4985202569978013],[1.1326016289223944,0.559077045650719,0.5549529110713783,0.35669591152802865,0.3674138499623936,0.32277258413485876,0.2216989305632524,0.3382930720404234,0.3416515288769795,0.2933494133377866,0.3732603541973021,0.4637864183379991,0.3553613965955513,0.3180838178171808,0.4471522930965117,0.39598967796448586,0.3824492707185044,0.4094811700405623,0.4015061548648589,0.4049329229670344,0.4033813955008504,0.6060024662550171,0.4962248357530607,0.6118539516102166,0.4892332451949164,0.4737144139353382,0.3698192852540771,0.3545640159651831,0.3839985343301931,0.3840865516975896,0.44502547846702856,0.4561989292871975,0.525559388637651,0.47442437271673316,0.446476861735699,0.3983055726915527,0.40302688552919824,0.34738131365792235,0.34198967777225614,0.3356552060389211,0.6547580846928632,0.4875612105102562,0.45013791390329627,0.6661252501496019,0.7551485238082402,1.1582785951487105,0.9341076414011581,0.7593355136151373,2.108845684880684,1.9822193823263745,1.0788357543902842,1.7316681786284296,1.2456939542721237,1.0495608798732732,1.6008365088528154,0.9880233243764802,1.1659393319971447,0.6093798641141881,1.059664567045595,0.9914870655537352,0.7348647384632887,0.591297800396452,0.47230918356747453,0.6438210495957422,0.5004557902228596,0.47276332151935974,0.6501114375543932,0.48740837120886044,0.5738073639105019,0.5263524090763483,0.7974235747293217,1.0520070505978407,0.6699367436153817,0.6657676744585381,0.5357462057590827,0.9030488156466844,0.45147396978603194,0.4515152859380477,0.42831376250569775,0.4398599971287516,0.4454220242290828,0.49847634379881334,1.1775239419113193,0.4535663144306611,0.46823826250764883,0.41607746540321633,0.37663718712945077,0.47801500598857444,0.39849490964204043,0.5253711481567973,0.4610514482134901,0.5517353524195201,0.5099522315915951,0.4726556031090898,0.4634978752317176,0.5144526555693312,0.5436224688216104,0.5026463204323551,0.49020105808509373,0.6775289896015747,0.48189204769517113,0.6378053786861052,0.4412087962911164,0.4984421564990149,0.5217964547315282,0.5163611855841963,0.713244340524269,0.38073686698002973,0.4021113826813995,0.5868113018469331,0.3331153996406278,0.32285525715111824,0.2791247645784017,0.3640994842028858,0.32351310479312306,0.29271701781334425,0.40303028098864513,0.31972606127166875,0.36212051856404326,0.4830211472720081,0.370208792457066,0.3508854697246238,0.3279379539354266,0.28281727159978165,0.30611964114370643,0.3601837024583163,0.3073213723995905,0.3560848916219328,0.29526792298947935,0.3533591178573311,0.3349663006623423,0.37700248276236215,0.33221096253105054,0.4569111210667371,0.384584974037817,0.45365049212302266,0.5199119325535853,0.38925248410440266,0.4509629647327454,0.36740217669935693,0.5173994647211263,0.4602316841091453,0.36490445805005634,0.32663672935949706,0.3745201020333042,0.33400756975629203,0.28828920647105605,0.3278864808872626,0.3245229688143434,0.3457155332169799,0.40533795964451097,0.4596906508424544,0.9402665930003309,1.5568680116752627,1.0832351128150175,0.5304144379072447,0.4296104048061758,0.4068741420445829,0.38237351065264924,0.4002105755568296,0.36099911890454695,0.328617236997849,0.3425952473253411,0.32581830065264217,0.45203678295114386,0.47468377803488365,0.4375682829349962,0.580787269626017,0.753975445270479,0.6593001852564636,0.5043329396730821,0.35906047924168205,0.3744555200951275,0.3880737898460182,0.35506836255714036,0.40184251932888065,0.42683964327841134,0.6928728944788304,0.38660815572564766,0.44197551641352417,0.421773443424094,0.37689672000597846,0.3756945019249065,0.3705313165100699,0.3865056356206627,0.5176989263029473,0.6558278746172105,0.8635753377206166,1.429469788187193,0.7911070980720932,1.103021964714916,0.98410711624466,0.7042685152111833,0.6102430216094564,0.4198772033051791,0.5372989020990807,0.7487989381750435,0.4000973381779778,0.4400583426285181,0.41684151862569657,0.4541356768213968,0.5263926680801015,0.442744216814416,0.5104334691464635,0.5762998942129297,0.6117794521907012,0.7457399060856886,0.6136389242660623,0.7221265174583261,0.684326511986984,0.6646272352619207,0.7317524750498565,0.8430920259451664,0.8020920845183507,0.7762523740658662,0.7673849325045189,0.8832629601390819,0.711173178674135,0.700142509254815,0.7540066338110174,0.7780586402693767,2.086900415360685,0.9891711873942065,1.254342173806196,0.8553405318252219,0.7923231284614576,0.7511949971739662,0.7212229823437112,0.7381245866547222,0.5890090412366514,0.6435373746740227,0.6040746670849126,0.6836556094473439,0.5385397783780973,0.7625052290422742,0.6699044360497812,0.7447220460250187,0.7979049424990032,0.519748945960344,0.5525977200254695,0.5839701887389871,0.7168770779671081,0.9174188713436816,1.0441296655417154,1.0669647576105172,0.9144456651478672,0.8745712601283273,1.011211264615183,0.8898503572004158,0.8241617872739216,0.9639934235914259,1.0711270788941343,0.8784179126153492,0.874908853157453,1.009398640558474,1.069572644556243,0.8838410914893885,0.8922824224170565,0.7925842740969912,0.7720958556010024,0.7227969616345521,0.720352230823691,0.6873884092765166,0.6508498262502325,0.6223271900177149,0.6270150989323345,0.6552366261557468,0.6158401918298172,0.6388537251609582,0.8052591386116178,0.7933010236336405,0.7703896758922579,0.8747050519397183,1.01069799160261,1.0517291976900398,0.9477342649009277,1.035551656175092,1.0215889085962653,0.9427193423965865,0.7606611199293675,0.681814734059937,0.6875499318871369,0.8466552476375656,0.8574893643174041,0.9079929354499627,0.9573504500907078,0.7825856554651136,0.5765287385733446,0.44094245251753833,0.46421324130511227,0.42269261303825917,0.5178214566570212,0.8597216880303833,1.5514565115313987,0.5659117010763646,0.9899050220971322,1.2175494290554258,0.7916007849257806,0.8639038445832137,1.270649260078785,1.0651798450813768,1.0600434869916233,1.406824640686939,2.1240378495057204],[1.275031851156772,0.6163420048603069,0.638353469343264,0.5434735271208959,0.5434374209577706,0.46854097981271636,0.4309057111887953,0.42936692935003185,0.3636166672247084,0.36120246352649943,0.3797928787730658,0.4611116495945016,0.37692721428658876,0.37249299179070255,0.49144043000433907,0.4336135003372863,0.45281465475747545,0.4738783859326568,0.4976809291315473,0.49993663431137686,0.4931011525749878,0.6627657412689124,0.5653062028248746,0.7023224314059184,0.5613139605659755,0.5516542460462118,0.45422586626114786,0.4449315186926013,0.4132278924164716,0.42448786641633146,0.4897441076689263,0.5001220310143382,0.5712400844489571,0.5294005569063881,0.48474451904295013,0.45470078741571857,0.4365542463772539,0.4078088021794953,0.3931156771595109,0.4002957118500679,0.7425259254637789,0.5644093568775554,0.4969909280219731,0.76815488964793,0.8054244545167666,1.172602140763002,0.943882840107875,0.8431034666669455,2.233091021636359,2.0308186548928253,1.168900735577394,1.7854227804643479,1.2525716147677597,1.05350505496466,1.66796472582171,1.0719511048913188,1.2337554309317693,0.5974890064807198,1.0845384329555425,1.011990876727637,0.7340914342356328,0.645357784928027,0.5363429583549909,0.7297653176429874,0.5462545094511796,0.5408397853591878,0.6928571829769014,0.552829476916706,0.6501903270957281,0.5754613179177583,0.8814295745560278,1.1878417007860327,0.736405931635182,0.7292070399299618,0.5724203303964298,0.9883346427291617,0.4959895617920871,0.5076099968083131,0.4859983260257675,0.4818822728475782,0.4886563526488395,0.538254420797102,1.2229633193359781,0.5505494746324261,0.5210819704098772,0.46642083674206003,0.4397255422682025,0.517614037443724,0.4524705098507981,0.5661352057556304,0.5027830153093861,0.5954917152542587,0.5651850775141818,0.5282074205142891,0.5153273152889265,0.5812046994445645,0.6170664311951306,0.549971921596311,0.5410825796660905,0.7485911977589033,0.5246240417131737,0.6900924290610352,0.5167589521516066,0.5963879595835381,0.6172377320873128,0.6039297089277355,0.8099603051692416,0.5242929429278766,0.5441770369508484,0.6479415616459896,0.4757955290039446,0.45203314606343686,0.4138899625879184,0.46338929932955614,0.44297670575720455,0.4583719728726808,0.49867305015829183,0.4460929329566424,0.4930356257375597,0.5701522537162186,0.456606780070047,0.43522054635737495,0.47223161067177843,0.48257631166116804,0.49689729350545403,0.5324257657411482,0.4964068745230025,0.5301123179678082,0.466283860590788,0.47285022038754987,0.48683851753118174,0.5146821918874477,0.49334090807462666,0.5818127981028882,0.5394824682278824,0.5918160249788136,0.6500100125026943,0.5349195426212179,0.5605636632163565,0.4701253304063334,0.5814418375058399,0.5356230961037669,0.4543504689571165,0.4413560015207225,0.4805011593948838,0.4346419461765407,0.4126441612557701,0.4080591683035512,0.43079991262815687,0.42905092790735705,0.4848486722043686,0.5016900902255407,1.0304906395250446,1.675403027074394,1.1421530682750032,0.6155211352810346,0.4864736472952509,0.4776356371097003,0.44621638545307807,0.5025862150985608,0.4804474467256806,0.409580618231278,0.44268212903424825,0.4225609841673522,0.5527386261651275,0.6195798257760107,0.5731733849086973,0.689012246381971,0.8477994153816484,0.7761778555259674,0.6444735432407396,0.509886527929062,0.4995763555273456,0.491587919661886,0.4375291741668727,0.46745087050874795,0.4622999557656999,0.765352089722696,0.4584912060301248,0.5498064964289286,0.5061469851195323,0.48596604654864045,0.503438214564619,0.5004744036652806,0.4803384523182378,0.5791547521716659,0.7053340337493692,0.8677056007384378,1.4531066981966065,0.8666026549569525,1.0983460453642186,1.0996188093180537,0.8138427943802611,0.7229155256039,0.5543980647315169,0.637507503932851,0.87244198149838,0.55266094945093,0.588937190924048,0.55533944849504,0.5878752402336408,0.6287671592737859,0.5678159929108465,0.6345169132657715,0.6755494117700152,0.6860798663486819,0.8442675814342142,0.7098017133219475,0.7854495140410842,0.7533607763070631,0.7634093574217159,0.8223146605989214,0.9007448649334935,0.8718838255818636,0.8808114089694328,0.8873720062456303,0.9702919504370889,0.8352610962711677,0.8168803039931665,0.8566218351764439,0.8783015080708564,2.1923535549320565,1.0550220270934068,1.3535789756862244,0.9079809396816865,0.863146886736671,0.8241342737306069,0.8101340899513,0.8143970141761975,0.6954555076658792,0.7669269248694046,0.7327221789807457,0.7991496050186312,0.6812766171113809,0.8962895394039292,0.7734863214317955,0.8518575650194469,0.8971568999206133,0.6677794167294561,0.6845486473918377,0.6899183585438055,0.8211812914122307,0.9831999975902187,1.1353403136538895,1.1233379804110741,0.9848376883529519,0.9222745043865052,1.09167323950256,0.9376778290520198,0.885664528093521,1.043001069354373,1.135471674093592,0.9309682608802442,0.9373159583001002,1.0831390555196965,1.096291293167536,0.9466800040483206,0.9618209696502551,0.8650682243543961,0.8443362827087056,0.7950690143492724,0.7880950000917717,0.7693474804707406,0.7397043854073663,0.7258190630314847,0.7299714458702783,0.7626787397744701,0.728441811672724,0.7379526783633004,0.9062399186947782,0.9090836774038547,0.865527260349436,0.9485039374571532,1.0780157623383628,1.14188600865904,1.0774678554358086,1.1521575093016116,1.0944207746436743,1.103573976241657,0.8897453305134322,0.8142963669457629,0.8087400401750431,0.9692193331752813,0.9824172180154577,1.0201248279327324,1.05046718056784,0.9017561394140007,0.7009920519990724,0.5993368077145204,0.6061608139105037,0.5358534432533695,0.6162561105692695,0.978794435003992,1.5764493895549145,0.611422239248729,1.05296465935891,1.270100840652669,0.8075810166333184,0.8638732619607328,1.4272868093362614,1.320926689866415,0.7641718716644844,1.4046480592678194,1.8001484915312818],[1.3125024298945616,0.6369167255448303,0.5942019602132619,0.37939316667005485,0.42502799741372715,0.34009248017497784,0.3127815493429504,0.4676394831228272,0.34292296021850044,0.33592813511541286,0.3876226100690724,0.5009224604661229,0.4026584847300466,0.35911183720436324,0.528355434693027,0.46760856637701226,0.44094504537125134,0.4601263090675422,0.45225783624175414,0.46856944858226546,0.45409427108946676,0.5986933805673691,0.5017334266694666,0.6017290133841929,0.4775574821414403,0.47430731600005477,0.40499410529523655,0.39010423052467197,0.42859580316641627,0.45620878895126155,0.5258722631439368,0.541708468450784,0.6187716600270531,0.580944930124317,0.540784851508844,0.4862058333949699,0.48318479618507715,0.41870078011172623,0.38684623422630837,0.40618157595384724,0.6935605967872197,0.5151269958227171,0.5157522098123201,0.767895390266019,0.8270258264336694,1.3161430142091421,1.064001092608915,0.9070054554861021,2.2999368056995846,2.1897309603917794,1.2536491100560792,1.848505585531959,1.3306868177666376,1.1016777868538064,1.701982353612946,1.1677093363999942,1.2474815076418642,0.6496329456896507,1.194928297422191,0.9638530190818572,0.767984788564556,0.6869845041446984,0.5726738925403762,0.7166929695565423,0.5419052376733131,0.5521696638458478,0.7051706447563572,0.5557551740799243,0.6119253577975104,0.5974888358332859,0.8505735558042937,1.1640053224652156,0.7641499442619055,0.7230749361032017,0.5777970899783655,0.9462269789771546,0.5187330023921501,0.5630168713317939,0.5321787872163704,0.5260056484908902,0.5404878760794798,0.589828214477914,1.2740386232719463,0.6004906658976176,0.48612565854275164,0.5103773754999864,0.4776556668316515,0.5666655868788419,0.4918101624191616,0.6181997271384323,0.5559307876407141,0.634047046214538,0.6116025978621846,0.5787419302019229,0.5540899437813225,0.6239721659918529,0.6521237628720326,0.5959696986885132,0.5860909714862494,0.7525317079714361,0.5797261456744379,0.7506964990265609,0.5824993890297899,0.6157797063010048,0.6407162888167865,0.5937677175631737,0.8740313529029511,0.5500014208952582,0.5559440240114801,0.6365759252799892,0.469136378904852,0.4330980298729831,0.38051772335947637,0.41058183243890484,0.36425051227233446,0.33179549905427747,0.41302654374402403,0.3636714789866785,0.415436925155276,0.5267037523952801,0.4085680649890489,0.3842842450025839,0.37244192798752573,0.3251051142882786,0.341886776296977,0.4282915367295516,0.40585168233874036,0.4291269951005391,0.41994035470976804,0.4742197482194635,0.4607665398972032,0.550286401214743,0.44888461003934266,0.598974098216173,0.47673486255622016,0.4902482073293055,0.5728163926038199,0.4504397830538437,0.508030982788251,0.4065446399922382,0.5297249711013972,0.46456522386047233,0.4022096097073831,0.3701578594534002,0.4100038957974573,0.3884610363267603,0.3407721826731013,0.3858959297712884,0.39568519040560296,0.393973987778698,0.5095284655919163,0.5106474571269823,1.0581411240142233,1.4500618554386284,0.9247395946052198,0.6334456026891727,0.5287121009524487,0.5090190704829363,0.4806979470381736,0.5261788335400834,0.4380229289391141,0.4157977222249414,0.4077313528776884,0.4049502795237537,0.5311065539544438,0.5186959985745382,0.48856998830363807,0.600409743111162,0.7817633304419643,0.6635177004852009,0.5411000704061153,0.4192010882365837,0.4594232537272557,0.47586929289551616,0.44934649325078585,0.5032048784062612,0.5253321804413862,0.860123599767007,0.5045014009858124,0.5603945019022689,0.4974465365353084,0.47262481713675464,0.4947153805499233,0.4781526076460218,0.45397759188091946,0.5579392326776579,0.6423975291997911,0.8380012063895659,1.388294225298732,0.7661616457535265,1.1598400161544233,0.8782727343268776,0.6820634436434226,0.6175140276743631,0.4833998142476835,0.5664248013224944,0.8362206374052419,0.5446178111603288,0.5628936677057085,0.5558352861785132,0.6079952268960286,0.6494060723961991,0.5744574328394461,0.6430653529997888,0.7113968783614902,0.7007690815716554,0.8271406247696949,0.7390669626299144,0.8360967247542556,0.7892389840273537,0.8277607700526985,0.8989686073911555,0.9565645946929792,0.9677778643023103,0.9661016173425446,0.9397066746597794,1.0290656136146246,0.8786475957542603,0.8599110434094523,0.9112031277343597,0.939682737476415,2.3194027614226367,1.111570234217414,1.383247399874152,0.9621771426392122,0.9301817788114926,0.8796989111574107,0.8424610794600009,0.8688038029448785,0.7423280453800961,0.8211474331520454,0.758851807146091,0.8370074683802632,0.7096279120303333,0.9023411709554408,0.7703367206501994,0.8425591050725246,0.8314521657431014,0.6670075144417766,0.680300157510548,0.7258273775775365,0.875760915075011,1.0005821327877105,1.1759068300483249,1.1291072360426793,1.0087904166926651,0.960224759004007,1.1194961984596574,0.9595482656497638,0.9423587370013081,1.1121316873436693,1.2013157999703445,0.994926137462604,1.0052932248214863,1.1411143341934735,1.1424323779961258,1.0102053830037467,1.0314998938494742,0.9363280548071405,0.9159028807345375,0.8671424466364279,0.8541214514553979,0.8327085560866128,0.7963661248143697,0.7830294501698914,0.7899515120514259,0.8161769158342913,0.7630016792646666,0.772833740776702,0.9220399328695899,0.9136260684732793,0.8554435226203948,0.9279304186463758,1.0295838630435319,1.1180186798600205,1.066602995100547,1.065323589583832,1.0299068042000938,1.1485548168498623,0.9126182623449586,0.8378968442446084,0.8511191032670861,0.9791849555602156,0.9886965042616217,0.9781252883154669,1.0074727775777703,0.8693156077677312,0.6496592063505201,0.5653924285516166,0.5730581339791875,0.5465034969488728,0.682232873875802,1.0795925869128835,1.4734029349478168,0.6022524258428044,1.088080881276555,1.1699528239674748,0.7410084326069867,0.8558760244978213,1.460013263760288,1.3543547217930567,0.8693644709162703,1.5223197293529775,1.5172288348203669],[1.4446107164118909,0.7884119472292909,0.7137403661850885,0.5158911675341911,0.5444274854024795,0.4596983233257828,0.4318864920395243,0.6551563726869798,0.44892512876289786,0.42052221996120254,0.5082176727442526,0.6731290285700143,0.5894545186829906,0.4580296920610641,0.7004523529055818,0.6623176190039863,0.5855333870535796,0.6217428413712134,0.5890346283055459,0.6297228012637643,0.6177814112909519,0.7231925395021518,0.6576745810801047,0.7140236953016328,0.6081163813807283,0.5967387458372088,0.5759057464961466,0.561321717829525,0.6229232802748028,0.6769790695853957,0.7553110839095414,0.7989799230515242,0.9178825554170369,0.87828936954636,0.8188080209506267,0.7309022506822241,0.767525035937664,0.6821466843872399,0.6459102175557551,0.6710752731369902,0.7567856043680147,0.6740221712635869,0.7748401412833988,0.8415915858482226,0.9039370473512501,1.2119155650877547,0.979914460789848,0.9167180661968632,2.2643377659288224,2.05873760768313,1.3528210864010217,1.8727650415161337,1.5071829501965732,1.2803073557557485,1.9170294979176528,1.3654891416853856,1.3417938907922418,0.8986618728762849,1.3828737890909943,0.997404197231181,0.9587802722815876,0.8796891432459452,0.8309838519922514,0.9936171125968977,0.7578348207319304,0.783912279556052,0.8756537615396621,0.7344037171414077,0.770745196363035,0.7628011851108506,0.9836293851824227,1.336976735877533,0.9519144032539053,0.9071722030120211,0.8028473657480959,1.1720060341170286,0.7822259606957532,0.8541795680462694,0.8217821127236646,0.8276629886050075,0.8307320383857113,0.8596368445691943,1.5169328405381821,0.9275143801027733,0.6979600038168495,0.7620796563719499,0.7635879758677279,0.871799475436104,0.7538653427687899,0.8788690788774238,0.8321708778210757,0.9013687722662374,0.8677397635434395,0.8601609793347542,0.8038287043953253,0.8519042696894034,0.8784678657743388,0.8661409329970501,0.8485669616530903,1.0655784857327923,0.908942304780311,1.0602795723458798,0.8929199938288618,0.8950785181640238,0.877410881010706,0.8393222779038563,1.0370045686745208,0.7997372210400117,0.7688703477343745,0.8396440667469137,0.692052614184243,0.6405759444904523,0.5626044613683893,0.5368376934011272,0.47495522654361527,0.44516797568278704,0.5015964045914971,0.45246854511850976,0.5325082738345526,0.6550994042575305,0.5044068171182483,0.47291858769892825,0.4054818156129012,0.3665157781790528,0.3720498859354072,0.4762034632693673,0.5314067060434636,0.5845340752168102,0.602505687800459,0.6880471475051118,0.6542715279006912,0.7693162913668876,0.6388569189950678,0.8264004240751998,0.6264870763012889,0.6014090561213956,0.6639879277947123,0.5443653367366857,0.5701981909777477,0.49529251450258166,0.5914027333069543,0.5407596986879796,0.546099285905402,0.49509265867612356,0.5388256505215873,0.5677064814181372,0.5183816372321951,0.6008376859142557,0.6372645666838128,0.6427236609799969,0.7894573046489064,0.8087619047327725,1.318234043220904,1.7208618302752836,1.1759981098858856,0.9877311020866145,0.8132880278839468,0.8260507971705258,0.7683684880998698,0.8086706674919426,0.6449086592798734,0.6587727315071126,0.5816264951177186,0.6103005314865536,0.6698189875737623,0.5621113480452353,0.5808105334541286,0.6337023666112321,0.7938402532267076,0.7011365540975931,0.6186933608202522,0.5340608682069445,0.607549805575908,0.6683168300505791,0.7014786209484429,0.7831549092779034,0.8033385576422521,1.1187091210507034,0.799316405883125,0.8189360675588595,0.6953583478094958,0.711050317620282,0.7088745296024664,0.6669671244358216,0.6521980292154753,0.7298818797518336,0.7779888057641253,1.0031951399378582,1.3885105324936347,0.7502842374974025,1.4116551583501467,0.8737397942793367,0.7657263202374796,0.7150733301616509,0.6453323694528097,0.6946033769089768,0.8983668964723103,0.7074693029300465,0.7157612146144521,0.7481694994772816,0.814404800800944,0.8684704566349252,0.7713721870236714,0.8139964489593018,0.9169902426980183,0.8891768870134742,0.9366832958075432,0.9079918656703312,1.040339399410803,0.9532041342652641,0.9951570360115176,1.0972730673513496,1.1308786808328721,1.1409455087690565,1.1798874883463502,1.1048231012352665,1.2354457929093896,1.041228552660843,1.027189338861037,1.103059981640816,1.1477962373145412,2.536397310812411,1.3058922266371151,1.5409952619176064,1.1634557721900471,1.1613523914600103,1.1057593095827558,1.0461805389589465,1.052299574508525,0.9507005926110219,1.0451607302789276,0.9574079428473499,0.9957419177955893,0.8908519972053845,1.0701370830210888,0.8974487920125861,0.9396449316549788,0.8944670339662623,0.8230448250921762,0.8488315277682157,0.9628148457820329,1.126172106635809,1.2516264824309193,1.437445903628079,1.3831540562492877,1.2581384893680339,1.2273104973105047,1.426104372910525,1.2152792506624535,1.1829628365975704,1.3782076141036326,1.4450380715878137,1.2190663980527352,1.2605646928655523,1.3853775233860317,1.326136841304215,1.2299790142503924,1.2729179917827305,1.1673843206630181,1.1712181475471506,1.1242966412673114,1.1092165007977242,1.069260658874552,1.010011229670933,0.9968468700899573,0.9963806192668083,0.9974815217853751,0.9244147811966106,0.9450412453104666,1.0552258224539308,1.0284517576101553,0.954175141329441,1.0332295666069482,1.1042883593290709,1.1960174036973874,1.137293943346537,1.1442326425008587,1.1000223968361318,1.2790762415168486,1.0151524922222384,0.9473619720307523,0.9594153383144932,1.0634868855484283,1.0496840841912,1.0341096715091436,1.058693739390066,0.9556138172543632,0.7745883146045247,0.713104674725662,0.6891254038189303,0.7192936768399908,0.8782202317592857,1.295311965751162,1.6017025186321459,0.7880115112561875,1.2252256712720282,1.3270232902901897,0.8732060564949541,0.9400524635337578,1.542170222074052,1.4434771023868036,1.1984945965722593,1.7603977037677698,2.7054665422698445],[1.3335072832043078,0.6386076543015532,0.6184560327463324,0.4087266037392675,0.40016029421546623,0.39291384416026076,0.3595494263686559,0.4627972092077698,0.3881286821874081,0.39594330470520117,0.44105094777195897,0.4951178318499671,0.44137440768585895,0.44255092561906534,0.5953836959893813,0.5264412284428815,0.5077777251743392,0.5501036200504703,0.5703187178150606,0.5473338306475894,0.5482921690638913,0.6326924698292281,0.608628269612735,0.7382176061355826,0.5520881408549468,0.5660548389087582,0.49955904048364025,0.47899893619220496,0.4846607826823322,0.5011751173759111,0.5867666099002281,0.5741248727366068,0.6464579188022017,0.620237073572094,0.5682923519194197,0.5360803883383896,0.5053149118389602,0.4875566243016351,0.46459647755834593,0.4613624425072511,0.6993304421282552,0.5905335860919151,0.6059204462388204,0.6702746336055849,0.8539111542611508,1.0232670359479201,0.7972561290686156,0.7110528469519399,2.1175592987626413,1.8261148733514574,1.227951769419477,1.7860597322432252,1.3644544525499183,1.152454204900841,1.7578873842839737,1.1521214656903513,1.2694256918516351,0.7126023007429089,1.1656193260943983,0.9532019395676853,0.8238362884302594,0.7154904221502946,0.6240545611182392,0.8552589131352129,0.6019132430204935,0.6037128276641643,0.8156145383243608,0.6681493909133133,0.7520736085300171,0.7023245890211987,0.9723437044202073,1.3410614187416974,0.8961263469248038,0.8608303419574205,0.6697283506729076,1.0580603792324028,0.6059394258938476,0.6378768948013577,0.5933904618653725,0.5802151899138739,0.5633611508721303,0.572841935417562,1.3309308235117967,0.683411021379141,0.48710649873020445,0.5032292121520524,0.5351401553719978,0.5779608817106482,0.5358725381115843,0.6421731680953223,0.6239402945756304,0.6909471302401798,0.6808998946052036,0.6334844657905525,0.6018797145637605,0.6805710455081372,0.7203197831370717,0.6202988182648598,0.6019885440354116,0.8113756934395088,0.605862312309719,0.7305961445349005,0.588894855298964,0.6372865837544497,0.6529992909167422,0.5987015266835082,0.787966764466606,0.5000845945859181,0.49565471509196996,0.6032615725574586,0.44023843893393166,0.4151236648454025,0.38667212406883,0.4491808481319124,0.44374259368812863,0.44859920941078335,0.4668386494954645,0.4911275244157087,0.5349492127659669,0.6192739052923478,0.525018448791998,0.4822287581280297,0.4870134109198081,0.45133016341104265,0.3978432956235236,0.41369294149036534,0.4246507725571889,0.43491566851464425,0.40461067988211036,0.47052237590001383,0.4189337471880719,0.48938211793226594,0.4377310077889175,0.6014004441349866,0.4851750493754588,0.5176322492371566,0.5542247064250401,0.4795150622853965,0.517816915129383,0.4692074340347199,0.6253491373720641,0.5797677689400834,0.5449456648000618,0.4633496580218241,0.43979595256770004,0.45144874660418216,0.432652900002383,0.43599198955397295,0.44624513703415053,0.4484324935538691,0.5380434480326851,0.5440868640298409,1.0636998460895595,1.7392751761033183,1.136270710755708,0.6787666400623023,0.5438078703047983,0.5291512800548469,0.5091726070791354,0.5417546594492734,0.46676792922150134,0.5046520736312703,0.478865496720932,0.45896962591391216,0.5644745099456442,0.48406253196012616,0.5120486897319703,0.5679722277775381,0.7413322177122441,0.6626276269153935,0.5641596167883479,0.45830340260318053,0.4605787723609852,0.466279060350387,0.4660660390773616,0.5204516738598075,0.5539261805341595,0.8453413938086229,0.5525187590285842,0.5749199841027959,0.49866481679102637,0.4906312569583036,0.49735603105368376,0.46358276324003533,0.46839753457904065,0.5798285213244437,0.6494913005822994,0.9591494048954057,1.3459392341997525,0.7184026645151194,1.3584079495506425,0.9449715319555125,0.7032818692412041,0.6369882166950167,0.4849671949046306,0.5238832674382756,0.8035149705291508,0.4792874422158828,0.5020286023952841,0.5049021462539719,0.5563345116942168,0.6268859694684326,0.5293513721796961,0.5853094291232089,0.685864212528615,0.6854894336353,0.8087476489816743,0.7139260786540613,0.8451698511164708,0.7885859156034284,0.8148114079486196,0.9140308446930705,0.979842724366857,0.9661727803654331,0.9857034001845745,0.9310206522131603,1.0515516401012837,0.8552742543140199,0.8372417334957544,0.9023248336367429,0.9193821478908668,2.3737009245075082,1.1042952911243344,1.3663617122104883,0.9935983398933804,0.9680900292627582,0.8981189606655051,0.8559519364753625,0.8297431846945013,0.7001917406418113,0.7932593248613805,0.722483067854463,0.7733506318841925,0.6508499758486749,0.8971237694762824,0.6914379799562879,0.7768125938187554,0.7915247591902251,0.5940748392544951,0.6382209835935136,0.7132364755528745,0.8857889801416627,1.0471361168200661,1.2128137475497436,1.169883931134672,1.0379115770527465,1.0129637142131172,1.2230381120844376,1.0024035317227846,0.9651773042550648,1.1534037114429359,1.2223235354099231,1.008362787025272,1.0465747560965717,1.194014301538148,1.163718155359548,1.056787722031441,1.0858381017738326,0.9736227151327823,0.9503196943228346,0.8870529648559607,0.8790205649005497,0.8432562647824876,0.7847169424346858,0.7612644528737461,0.7649847255715186,0.78902274024457,0.7147579427711667,0.7328678251965368,0.879935096726436,0.8736435905359495,0.8143467814612925,0.9005967208996417,1.0252120551259523,1.0998257439622554,1.019471404277071,1.0525730742088093,1.0476081807846476,1.1035528434710822,0.8862051197129176,0.7987608460684047,0.8097658320093253,0.9449731371948833,0.9396239590197335,0.952267850407992,0.9964984626236216,0.8111170650234987,0.6193861284374429,0.5091050090717638,0.521333476577548,0.5337792593673085,0.6451486248133413,1.0841321680163298,1.6167894171354396,0.637777426451052,1.130934344872352,1.3364924121070167,0.8835815538797968,0.9016518456955032,1.5158518391848717,1.388468807517661,0.8128447139157609,1.565170888073129,2.318677601324846],[1.294201961418248,0.6516323107918331,0.6487816454600028,0.40676590770477855,0.41582163053226207,0.4119968173358656,0.3481769250075034,0.4965347332965774,0.3601983778984707,0.3480925501772624,0.41364161270937755,0.48668148060871885,0.42635478515067693,0.3798524606290233,0.5772357526048766,0.49700112902546284,0.4682709117951058,0.5071306405799414,0.5023337549088176,0.5175188801675846,0.5153763296227981,0.6141750142821524,0.5668626391588937,0.6425457106596959,0.4924962006788815,0.5036733927898805,0.47077816750147117,0.4512605190417734,0.48511020162322627,0.5023912119331033,0.5585561078993695,0.5701054893619958,0.6514156234507058,0.6134146768241531,0.5748133459677983,0.5230442619380868,0.5241839683551353,0.4891746731800367,0.47044802653536044,0.4663686248352713,0.6655341448100105,0.5325123400382643,0.5852621136562166,0.6822313005148359,0.773821005673284,1.0864614214464883,0.8261987681227819,0.7634640741628868,2.1952871150654976,1.930947040093066,1.2464239924924498,1.8156343452715713,1.3732849963685687,1.147463242572258,1.7433793673847204,1.1631496107258148,1.2467105217651997,0.6974351918923437,1.192589843120935,0.8863357666488391,0.800040082988549,0.7157691573863965,0.6265602167162253,0.8152827557999375,0.5779345235582661,0.5946245065010437,0.8101512196231982,0.632623084538571,0.6927130666575372,0.6790513006097341,0.9301947882879618,1.2820800953561091,0.8532017798727811,0.7979402569528617,0.637994670199148,0.9985624172874978,0.5735090542316602,0.6242930526829231,0.5865990119480781,0.5729713988370402,0.5660633078945307,0.6059832779161354,1.3478905517728932,0.683891356296832,0.485192806178979,0.5185506604373377,0.5409518184804566,0.6130717097973953,0.5388855874601655,0.6541544304910455,0.6045154413796198,0.6871714084358704,0.6526439834099681,0.6183441282239481,0.591736149384895,0.6648216983053256,0.7057115218035759,0.6250107364889701,0.6035391629769253,0.805416264660665,0.6052900189442816,0.742841523648901,0.598975627456349,0.6404010647568807,0.6453056710406531,0.5935744800869968,0.7871406940016757,0.5211022784135549,0.5287305038136371,0.6143870933745916,0.4668072758389569,0.43503705978947715,0.4010257855094509,0.4351657371521995,0.3897233916237652,0.39037351537232057,0.4471989254163235,0.44409952607906567,0.5026960046519134,0.6022669637537292,0.45100325168065475,0.41231921592619886,0.39233380434688625,0.3440875918632915,0.33185908278290716,0.37007834309022997,0.4186987131538318,0.4483709234776626,0.4273340284992835,0.49165460152142093,0.44249841491365244,0.517055200326992,0.45645090146730743,0.6154814937947507,0.5017968877014358,0.5169367308206216,0.5613994436976381,0.46563537535836763,0.5354378107626168,0.4605207712313203,0.5986780449272816,0.5225846024792585,0.5157575922056528,0.4364278787137208,0.423824755239652,0.4285453684631784,0.4067641967816039,0.4340760888836591,0.4406521858324922,0.4402421006982501,0.5571709443497163,0.5493649441666244,1.0574999860845236,1.7393040891549074,1.133031306744317,0.6767196163916467,0.5476283720746875,0.5416856519243054,0.5158754747828588,0.5574482361399745,0.45390202715583233,0.49038657448734874,0.46236392531064185,0.43538640770529596,0.5596295407938352,0.47604923147585865,0.5029774379512788,0.5518309270969695,0.7296977962296122,0.643235501095041,0.5560319582078762,0.44054852572057185,0.4673155088220337,0.47536228142648207,0.4791588790343226,0.5356902195186346,0.5681029457330987,0.8714748409067103,0.5613445373941315,0.5888511797513758,0.49934015379141816,0.4974292697229225,0.5076270938039772,0.46936711483673865,0.4697601490799285,0.5582608859086989,0.6126879839825682,0.901997137161397,1.3015770000256288,0.6698208007923351,1.378018386126816,0.8884379004275831,0.7124908797757677,0.6502081055510023,0.5203146839801271,0.5102193539361215,0.8313419819080154,0.4983519694909665,0.513023926370167,0.5223922568642956,0.5797689575433225,0.6512233338828352,0.5434863212468185,0.6016640609529849,0.7028206884155158,0.706937284730356,0.8176836467500102,0.7360671714672378,0.8568771286011375,0.8105290820088852,0.8208002306051245,0.899401577646213,0.9676676228617825,0.9795943803193076,0.9554617569108086,0.9044542317315007,1.0243354106253357,0.8365992319753167,0.8180525110389135,0.8854854859571775,0.9182883554379564,2.414120483790893,1.0966909003614547,1.362931631190542,1.0105421485412203,0.994543281214942,0.9254145235621246,0.8872600492540587,0.8451128827243367,0.7192428724350033,0.8123946286826493,0.7387706439768756,0.7618382532619239,0.6570912996869097,0.9246912745785304,0.6751966685920274,0.7672606351757472,0.7805097095099544,0.6007243460482746,0.6583599828263196,0.7441637860193798,0.907416490402403,1.0805887736263322,1.2218880449887848,1.188262202437399,1.0662209698466572,1.0399761811834558,1.2524108610609213,1.0264243697015194,0.9760292020370287,1.1415629711067306,1.2022060362788842,1.0065889660651846,1.0344895559140677,1.16399842055395,1.1496623739226537,1.048084292471536,1.0666457457962863,0.971932045839138,0.944164518515283,0.8887152121729333,0.8891602695400826,0.8362552317683245,0.7875813138406453,0.7689123317681699,0.7608120860338252,0.7783436811940628,0.7126272382718036,0.7272486370928521,0.8594323013153022,0.8602748050982026,0.7981683870958476,0.8901728773589141,1.0089530737278731,1.0823150979932183,0.9785638191973066,1.0157883797783074,1.0094654090334596,1.030999997225715,0.8396504194851897,0.7786686508936543,0.8068839684781115,0.8970438437348616,0.8977300433835227,0.899011579125238,0.9315889420801219,0.7777009253992725,0.6345620872599209,0.5169707850674268,0.5256119176805474,0.5662645495297005,0.663930863841244,1.0841225450786607,1.6330655218037426,0.6711285402556496,1.1485101754381857,1.3972372146259187,0.9212887637293175,0.9242630907575768,1.51925723520335,1.3212289159101345,1.0388339681693428,1.8511319600249765,2.5753985949394735],[1.161972645888738,0.602083205368956,0.6715680086242329,0.43590474955429376,0.4363486475149906,0.4512601552345006,0.35417432594507253,0.39042101940503526,0.30027187972853936,0.28593054078426644,0.35688513169149705,0.4511686867079538,0.3476642933029498,0.31910758959172814,0.5048307349592244,0.4243245826395574,0.4020897645509238,0.4297534226254439,0.43140503411239345,0.4387878004690412,0.43912733618192457,0.585233382196659,0.5000978659177612,0.5993738382216116,0.4520818777190545,0.45860011751439267,0.39977919283166113,0.38532962962073253,0.39485570174175666,0.4073317282086662,0.4854374811962296,0.5022430476440618,0.5702014401959837,0.5327535867215923,0.48588796187977656,0.43798877210302584,0.4210794011059248,0.39434876694282783,0.3715973223456035,0.37441987978526203,0.6416735596583786,0.49964704091543705,0.5061706312748337,0.675889252223163,0.7790536620144549,1.0717742011150282,0.8165791744316381,0.7470684878096495,2.1482748736186204,1.8808298703285453,1.1778274557863015,1.7266189524228437,1.3087046244534801,1.0826309204587345,1.7296545044016993,1.0989017599723547,1.20499729629706,0.6199869547301793,1.1363999154521134,0.9247079254751159,0.7289526831396501,0.6346633569192252,0.54706597880537,0.7351835160691823,0.5123761609038756,0.5120946170378322,0.7164014168970245,0.5432080472454764,0.6103473932981393,0.5985337803950732,0.8638084077999698,1.1763067465484067,0.7691071317189797,0.7185991822229132,0.5723619304353872,0.9500699665022688,0.5008488519161011,0.5359476540423905,0.49513548213011765,0.474310718649888,0.4821394783813243,0.527867545526602,1.247872984781939,0.5746011125670636,0.4496186584411294,0.45386222797706305,0.4416735388034641,0.5107362884663113,0.44565523607449026,0.5774387909780296,0.5272266051504929,0.6288227796136328,0.5939354929541208,0.5479656005903892,0.5231361043676327,0.5943394562162801,0.6337604331316747,0.5495221166403682,0.5437936993308123,0.731815562910907,0.5122315676377117,0.6642931755806945,0.5018563767159548,0.5685377908168189,0.574977894235801,0.5456771428162392,0.7151085421806234,0.45804869514773777,0.4931565904483512,0.5686195921594651,0.43473849941320786,0.3844197556928626,0.3463858138946509,0.3963542760135349,0.34286992400686694,0.35493758196719327,0.40689500609743096,0.38955718575351334,0.4388392648012706,0.5360307819886094,0.40318694665201116,0.36397795904318314,0.37364591067307057,0.32771779810790425,0.32613953164122983,0.3664681619146121,0.41196336549270285,0.43822219654673183,0.3930192409036198,0.4296298419467589,0.42068177762731357,0.448557580053411,0.41209391976938115,0.5539855974954845,0.45173994823851504,0.4754538708479438,0.5360470106897339,0.45379966391482957,0.4952458265496911,0.4053893832270139,0.5651300513452094,0.4906043271244388,0.46189235147559954,0.37648975380743643,0.3732790805295711,0.3644607138244786,0.3392253533686687,0.35161005245375426,0.3915735794479093,0.40407927434780955,0.5017883451171546,0.5324918530162844,1.0205783861060043,1.719230500564155,1.2333690890065567,0.614912858685086,0.4778316668594155,0.47210838599489385,0.4328474600683868,0.510096729221062,0.4170821478422166,0.4083151589904196,0.3874944760395918,0.3755486284003301,0.47534857033288774,0.45599479352472827,0.45426533439343136,0.5126734366152967,0.6822491127554933,0.6250080828759218,0.5206840048916063,0.40435560925711156,0.3981359596937279,0.4117404261007841,0.40738066007946644,0.45198995647220863,0.466910765108485,0.7585072630142816,0.46127358613004965,0.5104968162508874,0.45167565826063927,0.44308052137644816,0.4346746711541272,0.4240735599190473,0.4272853401296709,0.54357019884978,0.629374335586874,0.9004101402646401,1.338391265149368,0.70290235598625,1.2985956877816114,0.9632985427426559,0.6961586010489851,0.6217131193285995,0.492734418968522,0.5491636315157078,0.8208746087328553,0.48606107499845014,0.5314870847725857,0.5264458514752243,0.5547906269982891,0.6206446434212186,0.5461401452728198,0.6040561457546327,0.6730581627960883,0.696686102867516,0.8568759943003856,0.7165333887160145,0.8166185686087715,0.7846855104244145,0.7805579838630029,0.83260450817169,0.9079484867403352,0.9138258021623697,0.8708066088776839,0.8664619000051127,0.9737517042676541,0.8072089244913828,0.7880539135235237,0.8489030664121857,0.8835119658335213,2.344284803808964,1.0799582907284557,1.2868944052363183,0.9441387324528281,0.9167000778762987,0.8510406983946173,0.8312219514718172,0.7862359186746732,0.675254653969832,0.7367622255524799,0.700819692290524,0.7513751848944216,0.6367997568185898,0.8635566188337477,0.6797486689942159,0.7789689949262735,0.8361053393714379,0.6049839518557832,0.6414058066044453,0.6825134289903506,0.8372655311832619,1.0063116094005278,1.1380619287604914,1.1273813881536858,0.9906619881700504,0.9576183318114099,1.1417360867916473,0.9635239180111342,0.9035343692024833,1.0339581382748777,1.1025355097942413,0.9256612615426869,0.9496131892695174,1.0769304150904433,1.096703869298569,0.9571664408246033,0.9636434523921853,0.882055085080315,0.8670645918911589,0.8210596708396855,0.8253685798896347,0.773034440875832,0.7391803707388166,0.7203686765623539,0.7131351558331608,0.7351828039318025,0.6985339241427724,0.7092831357167778,0.8329997816787149,0.8623653152032502,0.8215244221994585,0.9152974473106522,1.0531866203091778,1.0984188239988824,0.9849740943569174,1.0399761703428667,1.0419449151165197,0.9737500436256876,0.8255328652772504,0.7772789380885445,0.8000174141124595,0.8965855398480657,0.906056242875293,0.9331159372363382,0.9742374336844052,0.8341684552619445,0.6902916761421617,0.550470046373768,0.5268027455039805,0.5373964932504195,0.5738154068568949,0.9140978317199705,1.6329931235714827,0.6204611509671685,1.0403834048273426,1.3324751738125633,0.9421198825739978,0.9251787740277324,1.3914298655580286,1.198916863330618,1.211744371867389,2.0000639407155485,3.035280831625563],[1.09059910715052,0.6122088274020503,0.7114033402274906,0.44758343008250634,0.4231669247714122,0.41090379338351096,0.23317707949942573,0.4007261960178409,0.3459732446172358,0.3281678346712338,0.41666429280794154,0.5476384687314836,0.4219754352207295,0.35884502150727743,0.5458804741497382,0.5085910870923409,0.46548488534626786,0.4740441898131208,0.43258743581755993,0.48295260019845987,0.45352542691100245,0.5801510200964796,0.47507075067223287,0.5572298045014515,0.44487263148774775,0.4389782794513392,0.3931839104927575,0.3880069838303534,0.45278629701987005,0.4781847462253025,0.544832730868509,0.5672232945496197,0.6245671466312662,0.583548493520799,0.5500184038442322,0.49119637855559334,0.5168259352017984,0.43042274618768633,0.37358710514515175,0.3895818174071235,0.6812137427194356,0.505037819657955,0.5225643131129044,0.7465815435323405,0.7906929982131228,1.284235287711868,1.018959343954131,0.8699075455690847,2.2660057911834146,2.1213697700354652,1.1882337128988414,1.7831728385595917,1.3148245772046439,1.0736860089769822,1.6779087741319967,1.116287436412835,1.2182375266439671,0.6273798469232599,1.1552948909517544,0.9676880611505729,0.7715741153751686,0.7128797957959563,0.5871063662991484,0.6829547966679281,0.5307815236444425,0.5337708568743075,0.7171236095769087,0.5695311804166108,0.6011221095353444,0.612410279309974,0.835099330123541,1.0897875287002285,0.7498439866489254,0.7012792653509101,0.572938936653656,0.8826294779327013,0.5360242714474469,0.5819707262453916,0.5568362053882892,0.5064039604121979,0.5414352378733983,0.5766988768383734,1.2351334943388441,0.5518500866004665,0.4741993638870346,0.48862041008906976,0.48480718723575744,0.5929248862810842,0.5044992022288267,0.6500271190604184,0.5636193211608824,0.6526028391911028,0.628815750284845,0.5925934308065466,0.5793715054098052,0.6306116313583146,0.6545251995177622,0.6089941641088759,0.6069590328850926,0.7409163541434087,0.5745013494140566,0.7387719850580574,0.5542676025619039,0.5593190743097828,0.5524100509315358,0.5335655036373159,0.7292824734832011,0.4409027038121415,0.47716878299588483,0.5725820032092177,0.4065900881757396,0.3767775161182993,0.3094321759628035,0.34987738818037944,0.3421325247606654,0.2984340830119684,0.40610194745992195,0.3465748429809702,0.3804049223452869,0.5037366285516938,0.3768065790456322,0.35718745104161315,0.32169493345877365,0.2796197492903193,0.28657988181470706,0.37164768755743033,0.3963636431844062,0.4052101252650147,0.37550429213310055,0.41253188654591494,0.4136664850243303,0.4417625283583407,0.3970481456508404,0.5545059881948625,0.43066870072111424,0.4757234389261628,0.5501889882292821,0.4336724108044665,0.48080237821760463,0.38138177245695,0.5111048927131346,0.42685553452187286,0.3993255889794477,0.34648577779512585,0.3806882988300338,0.3714851285366792,0.3139173567187279,0.36507054390351074,0.36121729481429954,0.39498372339476506,0.4742884787845167,0.5414932608359351,0.9891111691149855,1.5304068728811435,1.0222949712746914,0.6223917710528761,0.5296405306386183,0.4819935013290718,0.4807686446824974,0.4584152508225552,0.37643094411187145,0.3840984769331274,0.36323190426112184,0.36831363521989313,0.4878651930377021,0.4873936272661036,0.4605570648834212,0.5556155954984833,0.7236734363038513,0.6450057746235124,0.5268623800406382,0.3951870788932752,0.4117638039250232,0.4240028795137823,0.4079690156604338,0.46386861511512806,0.5247315852765354,0.793666604540167,0.46720279983860336,0.5331465624686863,0.44841700363085135,0.4127598113867554,0.41445221909953234,0.42841303956163035,0.44432956266256685,0.5550780851298344,0.6418071099051995,0.8845494328803263,1.3246074477299137,0.7401777440266735,1.2101877717862448,0.8981335199570339,0.6721975060072204,0.6037231689338479,0.4965845698594936,0.5710475312972166,0.8969394496063205,0.5063256356347847,0.5349428645665114,0.5136166268029566,0.5579189533287917,0.6177632832974282,0.5396690854010004,0.6141370342423821,0.6718998612937438,0.6932322157260982,0.8749875921200057,0.728706726348312,0.7956158637350648,0.7863632242421771,0.7905746939922038,0.8151126556102449,0.8786158772836207,0.9289452975657208,0.8549148226484174,0.8683685011249024,0.9670942308308907,0.8183694828682202,0.8020504839960708,0.8503977998813698,0.8791289198351775,2.3307369049528264,1.0829929170776738,1.2722055793773372,0.9263206491576436,0.9001271582169741,0.8486219245208375,0.8235690756201605,0.7971236322349288,0.6803135919523244,0.7267639224897983,0.680564186099888,0.7493899011799291,0.6374312541299538,0.8591056599178987,0.6984127650112926,0.7995998400955289,0.8788040587635066,0.615851623665867,0.653938702231365,0.666556874050539,0.8178260648233446,1.0010707364120024,1.1377955030298854,1.143267425494601,0.9923789596658475,0.9349862584055844,1.0868571553900799,0.9518151879057135,0.8787404586825519,0.9793369414048616,1.0519335617279795,0.8852025137903949,0.8932259618554963,0.9954600218774806,1.0440531661766266,0.9068201698453827,0.9052950266007289,0.8435059502328732,0.8308626146110507,0.7902536907182389,0.7969269556523516,0.7485600120605547,0.7261015938908301,0.7095454118080473,0.7085191487874604,0.734426834620915,0.7042917246649211,0.71315964437712,0.8352845973167988,0.8740963606777171,0.8333697435451936,0.915145352872764,1.0524738861065097,1.1066809322329518,0.9985968156912945,1.0394187643968933,1.05674856833412,0.9758114237575776,0.841571704573464,0.8014434349636235,0.8343225117759875,0.9093467461616523,0.9236900203978509,0.929623775846062,0.9740116609378933,0.8533969523936439,0.7028033583137197,0.5460515333573442,0.5165417941333581,0.5376604928369281,0.5467170947431517,0.879602918150553,1.5865808161167032,0.5799324661066227,1.0216794634505604,1.2939530046959038,0.9463402463254592,0.9298202803146214,1.3023673658991022,1.0602435413206137,1.3897332581116537,2.043197946234995,3.0836277116329893],[1.0346205930403565,0.5318904349912872,0.532881565240538,0.34099439160017697,0.31109101872282113,0.30358314624677224,0.14817591271617148,0.2699253289863716,0.28626411175054906,0.28378121043951543,0.3176999269194018,0.44512265173822296,0.31975122981665627,0.2910122927607428,0.41104384450601783,0.38051588865856234,0.36227902719678207,0.38120543909819865,0.3728571881136992,0.3905672565437266,0.37366558245582576,0.5564707807420382,0.43973142105425395,0.5281772440261925,0.4579814946966572,0.4261893600783175,0.34845277468720626,0.32171233581166675,0.37134027578166573,0.36654067372975946,0.4093053852581064,0.4063583119712041,0.4650289733045857,0.42621762837827093,0.4049870434373584,0.36020035590459665,0.37974560760455683,0.31341631373384743,0.31094291457385786,0.31619762878398106,0.643902334881813,0.4639678200206733,0.4313647867017761,0.6785750644907895,0.7881781663829938,1.2236774190511757,0.9751313524618869,0.7841287018624254,2.139430909886604,2.0173037755166385,1.0843495077125183,1.716441919685778,1.255562774988855,1.03782669634407,1.5849361112145297,0.9737281303996523,1.1485000113587376,0.5755775507261701,1.0638947812259931,1.0045894902893096,0.7347105908365104,0.5919547879494753,0.4403602559547583,0.5510517499235252,0.4741957849233899,0.44784704776006007,0.6179862922053309,0.46282996560013645,0.5378506697058952,0.5010114037698853,0.7450689041846695,0.9867768190995944,0.6440923173501432,0.6090989799541274,0.4603156284044127,0.8149408603754293,0.40706691676205764,0.4098548911452751,0.38904093309873455,0.3869179484540181,0.40216373559869817,0.46958344374816086,1.12734829890226,0.42248735974623985,0.45024505735805675,0.40142587050855394,0.3576232833305677,0.4519746109521728,0.36172190536009846,0.5075224616966075,0.4086231075714618,0.5017968652842083,0.45987010696395025,0.4095361190692539,0.4023776119786701,0.44719381653593215,0.4778818459773488,0.44053844980337964,0.43712495225388437,0.6064294380254979,0.4287748430842675,0.5848898191744962,0.38811497846336196,0.43508401849597983,0.4833041847046874,0.45906273903810174,0.634746231480045,0.3127989278234623,0.34341189121057986,0.5486282513395223,0.2630524300475891,0.2663891291478201,0.2211882364697092,0.3076332146717758,0.2809799729639638,0.2629625151743163,0.4010134567930971,0.30535829549811583,0.3339633896043623,0.4668026491443691,0.34430108705555174,0.32918277163177295,0.29070523864424674,0.24979409587749155,0.24653827203402914,0.31733137585720494,0.24400374146881665,0.2864941340200889,0.22777889747555596,0.31826187224321856,0.2928972639945398,0.3203637961790164,0.2767462654322443,0.42307535468652335,0.3454789034608757,0.4191809252343043,0.47754484811038544,0.38281924658521777,0.461420787059074,0.3573105160920897,0.5065656093164128,0.4405591054162994,0.3803432725061926,0.31809759349697697,0.33982686699848585,0.2933220512525988,0.2540479907680608,0.28285882479013036,0.272648684776572,0.317896237174203,0.352749382928954,0.42150346980973374,0.8572324724029926,1.4689867405690993,1.039129076376066,0.45961520209895546,0.36971768664854676,0.34409792718426696,0.3405966987421997,0.3701063996152632,0.30530255078330376,0.29957385649374463,0.31491012717406514,0.3031320218938405,0.4241875239377782,0.45385031233868733,0.40741397491012116,0.5327181965660499,0.6963419172834886,0.6202245214195953,0.46695545122276866,0.3416396354944844,0.32996966912689873,0.3437071713215813,0.31948983289660415,0.3767742840983733,0.40963642975237824,0.6583229416072548,0.35927738378569046,0.4040580805283769,0.3776965387644867,0.3164121288315292,0.3128471492213803,0.3237336316232628,0.3661847035089016,0.5103610377367198,0.6485932796201964,0.8792893542095883,1.3908429498666688,0.7559420936248744,1.161380898433921,0.9311652681976296,0.6690822970254378,0.5759811875302996,0.38293780533190475,0.47397238754319926,0.7114097854309557,0.34257339100113543,0.3632303057970962,0.352731706940787,0.36764608817331185,0.4508530162567831,0.36332772628187426,0.41608881523873653,0.4830130299829008,0.5287558478882377,0.6644517958840854,0.5194610300069373,0.6266303754957312,0.579162025999343,0.5457512846877853,0.6056127749126133,0.7170081955599037,0.7366573693691086,0.642778624677634,0.6337564281506093,0.8118271601468334,0.6051812865969949,0.5886493744440072,0.6502351590098229,0.6575440336083956,2.054645968643263,0.9615060797347172,1.2374392075800853,0.8689044578690861,0.7670734076482008,0.6804842275511688,0.6465775510268199,0.6480375741630167,0.49982696898017087,0.5610080332561019,0.5214971716456862,0.5905465197851095,0.44496314859630964,0.7245603056780769,0.5718738385036071,0.67203140032563,0.7542474044623739,0.4239170631628059,0.48923446305146284,0.529887538127382,0.6580347273184988,0.8713084043811694,0.9834245625318002,1.0220654621204375,0.8614396046199149,0.8297741344619654,0.9835165386697209,0.8421924968060068,0.7596673274732246,0.8824360738663135,0.9781247296715855,0.7916635975155427,0.7862502320851489,0.903498207420245,0.9802088184450942,0.7683163088901578,0.7645812522203781,0.6752805493793121,0.6717737590974853,0.6422434380753154,0.6574654858707991,0.5809966104042151,0.5515726518198797,0.5299580783527483,0.5334161072638576,0.5598622848845242,0.5183299086478824,0.5480008360234163,0.6886526761019681,0.6883751631294468,0.6754353585404067,0.8058935000982659,0.9454345329797865,0.9750259507391733,0.8297130583245126,0.9610370758450948,1.024289164094158,0.78267920723692,0.6682679029559031,0.5952894120218062,0.6269354024623267,0.7736527711673371,0.7618253288155217,0.8102893781899349,0.8923163622780635,0.6794026515865806,0.5307038183614852,0.37294558031053543,0.40225058463769026,0.3943962468822282,0.46389453247937124,0.8091046814293765,1.6138490195202984,0.577031660891361,0.9535160950564022,1.21788916526327,0.8117969424394793,0.9116762282284242,1.172697728520286,0.9836888980130284,1.366143366201317,1.8684456447291466,3.1319454712075188],[0.8856505802507839,0.4636747432431092,0.42554912741783874,0.2894383082154992,0.29682616638009074,0.2594670048434664,0.16638702342645015,0.2585261466462226,0.34476552998552407,0.27792241506838095,0.29218336452024674,0.3855374353170048,0.30607085057934913,0.29416930541223746,0.34237084229635034,0.33535929198458486,0.35971222508346756,0.3757231993468759,0.3780519561109363,0.3796261510385789,0.37488613816442956,0.557345686512958,0.4796174330153185,0.5587060342534178,0.4767400715741562,0.43569842297616884,0.35177197387493697,0.3118194652653245,0.3571773836877982,0.33050252040034445,0.3611733645451642,0.3606883498041978,0.4165845032547756,0.37061999306852167,0.36186175772227086,0.3413285177931917,0.34022312602143434,0.32572004062727045,0.3292162396632387,0.3288036348083129,0.6370665358332883,0.4769213673055003,0.4422510658601209,0.6106946199625377,0.7953563471491201,1.1232255319000752,0.9222526053887284,0.6855534562664646,1.962996551861323,1.859080155798943,0.9825561712034061,1.6611379618395337,1.250667652961519,1.1159495160926949,1.521784684834528,0.8836490961772694,1.1226353602257504,0.5985414048895247,0.9866337333977384,1.06916195187427,0.781613648145054,0.5715750854375712,0.41995878415093074,0.5295567518667242,0.46678966395073723,0.43773872776440914,0.5744119932175665,0.4319544979302597,0.5452128660471721,0.5085409137656405,0.7367467103342616,0.9410245850400427,0.6395328836730279,0.6160654662965802,0.4940369524176278,0.7790684152348875,0.393720047364215,0.3616137077396724,0.35332183402734857,0.35544927295391104,0.37119868988177673,0.44560017064975194,1.05103855610479,0.36271269615990437,0.45459629325515516,0.36689676539179117,0.32736330745270464,0.4178968084182587,0.329713813336808,0.4702859943567322,0.34794175017754786,0.4746135006547805,0.43825763915371424,0.353789335190572,0.350631591290612,0.38330180258058016,0.44574404760106767,0.3946486655798565,0.38516051546860636,0.5445743213954107,0.39136431540571104,0.4966168006824434,0.34553785332225495,0.3953318894674838,0.4999168184399542,0.4508690585269212,0.5863589906210217,0.3273786370271424,0.32341149053694723,0.5882485045284008,0.2575772901698477,0.2692587790456157,0.2346002689997517,0.31855128958157763,0.28281250683326936,0.2603461304991942,0.4103536803705896,0.30669282016245464,0.3446293780413259,0.4553037717034077,0.34688914385909647,0.3530353894895581,0.3042431249479924,0.257061121529788,0.255690438801876,0.3046281639031819,0.22544953330926226,0.2530266425194656,0.23450790907922558,0.34097747607576184,0.29337781768710763,0.3167977549923359,0.2838013804593236,0.3868378466884116,0.3440500425402548,0.42515395544611434,0.45015453821948387,0.363773044280153,0.4394187395489875,0.3508901347315924,0.5092248596505826,0.45380395486324115,0.3633378109322051,0.31683878668038884,0.3470711918917277,0.3068321068626864,0.2671414525660395,0.30360597886854274,0.2707477334811817,0.32630018907139346,0.3730853384216399,0.42191669660400183,0.7627868116946128,1.3872249180212033,1.0542370335388371,0.418141872440428,0.3229869636019998,0.297187924041594,0.3067680492143652,0.3424618384338744,0.3198669246504436,0.31158060546237065,0.3089435720937644,0.30091494203099256,0.41336263948871427,0.4372317107288865,0.4024560088269791,0.5359781929925701,0.681048526165106,0.6097934126475923,0.44194494642500276,0.33303016417860754,0.31996905451263574,0.32134594691978285,0.3014638104774348,0.35592762018807855,0.40100994978585197,0.6025224445971027,0.33629431488901024,0.3551109448054758,0.3587176342296701,0.3048988092435073,0.3065127969806413,0.3177984039184436,0.36262459017800974,0.5253076324378717,0.6809711817308475,0.9174767923614259,1.448424185808416,0.8110369493888935,1.1250576078896266,1.0347396987656974,0.7073940111474895,0.5942696808217929,0.38169186978944514,0.508230729212733,0.6025063984046535,0.33056994084886787,0.33835336290897294,0.3438691266531251,0.3337214600168946,0.4185272545269271,0.3473083350148166,0.36456255963677775,0.419844890751689,0.4866988161588141,0.5700889564084358,0.4390689480492751,0.5579180461846694,0.5279144351786489,0.470548274939699,0.5293444459153466,0.6670286653533953,0.695356533509091,0.5855827550382386,0.5480602890354276,0.7758216844391199,0.5003173148615955,0.5021282831428064,0.561977744862895,0.5468885224310861,1.8442865741872936,0.8900615526194089,1.2267085207759452,0.846254986696469,0.680955828346095,0.5883771073357181,0.5654403298823371,0.5666349448114121,0.4525965389006131,0.5170267142978346,0.5391882490836389,0.5845433904385667,0.4176851036953832,0.6628848043511592,0.5554790887608746,0.6228734587036477,0.6997439206493958,0.3681926035365928,0.46232659399811693,0.5007623295243178,0.5922267905053289,0.8080614959333425,0.8892405460883389,0.9672701858259773,0.7977871972950263,0.7776352218438051,0.9128817385800201,0.786321222841066,0.6902065931479824,0.8022673416327862,0.9081231318335148,0.7287376606914865,0.7170713922449071,0.8229337624335629,0.9418691667435637,0.7009527250396009,0.6878006800402434,0.6012178666908886,0.5901019699908486,0.5791954937788543,0.6078661170845862,0.5081933879042717,0.4817161627620338,0.4694990279578961,0.4702658509974001,0.5048509512682494,0.45821457476398453,0.48203962199988915,0.6673292986501256,0.6058567366447948,0.6014255579422194,0.796065930856231,0.9181095660850986,0.9107391766328621,0.76140574753316,1.0181150591734978,1.1022379786657914,0.6665497918425974,0.5814594283412537,0.48881669975498204,0.5103995600297007,0.6800984520914136,0.6543677278343016,0.7417130700649717,0.8432755851117057,0.6059367762690354,0.4772768616992782,0.347124169966676,0.38216416550226684,0.4074579910037208,0.46030795093322896,0.7284494963722997,1.5795642796724032,0.6321201856349274,0.8583625319916686,1.1148521518867496,0.7395403431434985,0.8794301893829966,1.0131267156069115,0.9393545661558342,1.380362909619472,1.8621200843045287,3.321062347449067],[0.7663530099454634,0.44591349720696305,0.3484854128711434,0.20985822160184628,0.3313169284252745,0.26777525907579935,0.24213036411657982,0.29015057413079826,0.3406846232794417,0.2807638904329897,0.2995378459400031,0.3765883471406293,0.3135606624826694,0.2815141592979795,0.33630625265220676,0.3355409833050981,0.3566391550604602,0.36671052483753824,0.36058933579261754,0.3722925934855936,0.3746771974679721,0.5853377927132445,0.5174357867627302,0.6253699298495891,0.5272761008299908,0.4593525531915428,0.3742787246336298,0.3158695626233807,0.35002279176730267,0.34072286711983935,0.3578976424655007,0.36497755654638125,0.41825959929636775,0.3669254504222181,0.3675802790296984,0.35539922253320305,0.3616014684961081,0.3396812253686159,0.3326713683003088,0.36793682214650836,0.6444104406103818,0.5065636431039094,0.4636389093976936,0.6020018528931129,0.8455259086375511,1.1708195096713334,1.021579004576881,0.684612544093885,1.8602496825743837,1.9112295100044692,0.9726610532375602,1.6476973941344517,1.2769606208112896,1.158383052695334,1.5179281988355375,0.9003062646826159,1.1215766623947587,0.6507427816913628,0.9999154632106907,1.144074644654092,0.8163413338791958,0.5922474791439123,0.4243231216463305,0.5535286629437352,0.49616845317491437,0.4444723154360674,0.5321136977266471,0.4135813455246845,0.5499677574163817,0.5138190129673882,0.7503368483742816,0.9600458224234645,0.6478797717773449,0.6382359366750355,0.4819909104992351,0.7720878303908187,0.400790782561893,0.3665666500439665,0.3727080193728874,0.3684743506294606,0.40869081270532115,0.48287147686122295,1.0382180040447482,0.41805387297233737,0.496352065279681,0.41320704583639234,0.35478620933932453,0.43126280271315154,0.3456940683807707,0.4699375895628466,0.3607867336601476,0.4744213104618275,0.4322335283961379,0.34667812691054156,0.34230279375283457,0.37708151228710585,0.4330191206329161,0.3858739472791035,0.38955950292043895,0.5536478177888583,0.3992882372390316,0.5288406674597896,0.37716245362640305,0.4283849094941291,0.5300144399248976,0.4505262272678743,0.5772538359185203,0.3489058943559395,0.33762621513123586,0.5711861126188067,0.28299695698443267,0.2844974239843132,0.2671914585226099,0.34091757541295736,0.30644028943403995,0.29896779207107765,0.43803713561198115,0.3260055479472604,0.37108633927828966,0.4390759500735839,0.36466900951578857,0.36854696415606564,0.31937999067078465,0.2746880342488635,0.28961549271266723,0.38793396744371916,0.2968817332784348,0.3289782764096662,0.28527884184573155,0.3311199161681838,0.3397926817691712,0.35589729220309296,0.355245543218573,0.37410166222386354,0.40204055798558486,0.5004552285344395,0.5325798625687257,0.4208001736623159,0.4369565549111651,0.36383739920349023,0.508333547314647,0.4710755576015399,0.37558836091192804,0.33865861498331795,0.40961402424003857,0.3205483170954418,0.30573984062859627,0.3202437582572542,0.29834924168550064,0.3436249865942398,0.34763527815396406,0.4105458853345222,0.8371558515954899,1.4018437364591447,0.9641038900119018,0.42121791344202963,0.32478152973062346,0.30584610478515134,0.34545237053880495,0.3689820837922036,0.3356310655725111,0.34038297605150447,0.3512424559322941,0.3638173157502007,0.4496304740276228,0.5214368899681421,0.4919437059614473,0.6663485365652296,0.8011222741553623,0.691182818626262,0.5195554122221239,0.39623337418005516,0.36954947214432304,0.3688101062743677,0.34375913997912083,0.40075955158775295,0.4330705063875927,0.6486978194333068,0.38441578625230616,0.41455876998377084,0.43642901286752706,0.3447847187152287,0.34101822513529323,0.4026645599650514,0.42827480549178476,0.590011703379711,0.7461382585719187,0.9702942087300305,1.5397334145604467,0.8995117494109001,1.0426758273806198,1.0438028095703424,0.7594188454766921,0.6589614999285848,0.46842184416818733,0.6425866705079487,0.6342866609904491,0.38947139671813397,0.400934443524688,0.3703284242827962,0.35570160400614903,0.4121173185708629,0.3620783845008658,0.4004851848600485,0.42622803637051015,0.49254498701726895,0.574547167736284,0.43344148093275014,0.5629941841853064,0.562311786215722,0.4763754439756228,0.5501877529729191,0.7258626027131458,0.709163299025017,0.6169016668747436,0.5603053870720592,0.7694402538445906,0.5265638023329393,0.5154384793886669,0.5616759706428212,0.6112061246838376,1.7193480430868657,0.8900792679333188,1.1195894785326517,0.7179556422585115,0.6035758925550399,0.6145491208757807,0.5722791436450358,0.6831298210279094,0.4964389715766738,0.5140168330635414,0.5417182780241713,0.6114133337838283,0.4482382277237622,0.6495311777046264,0.6831554391018916,0.7113364370727735,0.8120511758647824,0.4480657602409894,0.46113286465045417,0.4553354214393959,0.5568922964552397,0.7635687220940356,0.8423527264146298,0.9129889377584209,0.7737070550956602,0.7300239460009283,0.7969076940705662,0.7464303004513995,0.6595831211611692,0.7749751297198096,0.9071983115967789,0.7373773460974467,0.7124944884104496,0.821153003640266,0.9856465146249812,0.7317349586245001,0.7149933720842743,0.6142711877025075,0.5766297532330463,0.5465718203671035,0.5374354612489952,0.5011647727782791,0.46985238624774084,0.46941194383025825,0.47558683679538105,0.5142216611778012,0.5027160945943863,0.5636159980803217,0.7763012948569911,0.6860725592179383,0.7102531875764315,0.8956380844500017,1.0047455868219268,0.9968589518245382,0.8378242184102143,1.0493205426127121,1.0659211792944037,0.7415483560549009,0.6210529752038227,0.49580390950152026,0.4590429650569513,0.6910156256588303,0.7165701627917255,0.8507232716035615,0.9685188177312193,0.7194158023787814,0.5035217859333321,0.380568451337156,0.41908707501131576,0.4013535251197806,0.4523936348741885,0.6433076887735277,1.3001527859382322,0.5770196309823472,0.7751101925901238,0.9308112889411555,0.5981270454070344,0.7840017133015531,0.8945379567774542,0.8324223687717787,1.218626389130821,1.3585152169238386,2.4297851780864774],[0.6311427559126417,0.46548048772037576,0.45195914768823,0.32923946040813495,0.3510030874400267,0.2593395234088741,0.24363588504572845,0.29771786185907684,0.3696575280774006,0.3081806526931903,0.320340952058472,0.387092000287021,0.30000606446069805,0.32723619418385747,0.3563221184363978,0.3379189967598161,0.319585657468827,0.3343372381072689,0.3574279230033233,0.350475562542255,0.40368655124959474,0.5984481889072574,0.6038845656969574,0.6871945680807945,0.5834005973911738,0.4846129946532195,0.3949573996033336,0.29397268731657644,0.30477808407254775,0.30796294536157337,0.36215260771687313,0.3318129260307749,0.3883198007520422,0.37106095971422504,0.3371635779334368,0.35051258573848226,0.3243175191247171,0.35495191159054873,0.3398107197358598,0.40460693062634623,0.6049232664570938,0.5097652488960965,0.4805205810368382,0.5436521452139982,0.8681679425495282,1.065809145159243,1.0463916031605909,0.610780796962312,1.5812166592828565,1.6967175281720857,0.9645445924268287,1.6691255736431543,1.3936616597335165,1.4354685986866431,1.4851935182158376,0.8329796668878101,1.0885772510823775,0.7435732218436417,0.9270661997160838,1.2491175414338318,0.8832132195060881,0.5688978278456495,0.4224687699871886,0.5948067476007574,0.5170800348143295,0.460241187005206,0.5154929063198025,0.3601416047857638,0.5199759544425768,0.5433945268799951,0.6769605393459021,0.8984456189727366,0.6239757594203862,0.6171870284507082,0.5030160484197664,0.7889118473525283,0.40222059062124454,0.3483452092220167,0.36936977609662464,0.37194956891470193,0.3878463259770973,0.4742347989644227,0.968376047703768,0.40039193608676465,0.5274504879826868,0.39034649110278474,0.33477156857109586,0.43567846016177425,0.3300371208432765,0.43693809641103953,0.359992722662643,0.5238206195168533,0.48435718484217666,0.37467425923432035,0.36614801383856305,0.4241502652847186,0.4906197584323928,0.4071007831503365,0.3951992174759659,0.5362989465841891,0.37416492582909877,0.47943396733424914,0.3212665476260265,0.38063191202593905,0.5471560977507804,0.4271893767881342,0.5068400042381622,0.4162078334646154,0.3733285810235999,0.5623589818211492,0.3032623532474224,0.2990211196083486,0.2685229939198745,0.2926639130619855,0.2789972586804045,0.28467714559098634,0.412463967929749,0.2701200804961561,0.4041564356171135,0.4167662489021954,0.3961817953344815,0.42385140622247547,0.3400897142211281,0.2507334667341021,0.24091815651808535,0.33651100930641636,0.3292183690439613,0.3316568961999523,0.3091896514628818,0.36730262705740446,0.3844981011679627,0.36780711901521407,0.4076543102643425,0.37115014847927363,0.40121052395202217,0.4925492075844987,0.5385077552764895,0.4006101841931457,0.3828919955071575,0.3502301607977185,0.5150195813206749,0.506251007268716,0.37911832188759786,0.3211872545098295,0.4187264003036637,0.31620207254178256,0.30110551291900156,0.33762882268240724,0.27584117972129957,0.3224408597523761,0.35263136552390983,0.4217184885935546,0.7322006030879532,1.3768803246487311,1.0698310695131776,0.4136417820994113,0.3312155696027396,0.28476206568255946,0.29376870581444775,0.34372237641640463,0.3172858847456726,0.32933229649094126,0.34184985622399944,0.3615405087982271,0.41679027307706695,0.5242150945358094,0.5111920753673876,0.7104727553171895,0.8073654271201384,0.7070158103257825,0.5253581882975601,0.38620415457668666,0.3659073962863908,0.3584980007360711,0.3098957334914489,0.35155502536563193,0.3852901394261767,0.5155867185857724,0.3514105486964277,0.3280590318334509,0.40940806626193543,0.32170775426423376,0.364387327889629,0.4400365614208026,0.45807335532693116,0.6086552908143724,0.7716675322735888,1.034315085155638,1.5960673811367112,0.9817114526083948,1.0527900795804843,1.2005453681226572,0.8944933307643349,0.7810562485046634,0.6475258686492773,0.8445589156513873,0.6130774756824221,0.4807223724499359,0.490453393949993,0.4386044385929743,0.45820440902635773,0.4653352299097039,0.4317824277499068,0.4845066972771577,0.48204154652383896,0.5307882149470683,0.5872587616159025,0.5235074853546743,0.5820888839544875,0.615267076876871,0.5560299071332326,0.5964535340249283,0.7501950287379368,0.7946933329436793,0.7077870039398574,0.6626219270284194,0.8152696652482523,0.6203858246670939,0.5744071722472002,0.617255590186198,0.6668690143447616,1.5126585116187925,0.9647979089106481,1.1585308003224837,0.819220165977842,0.6593845380831931,0.6293738493821922,0.6420359042166578,0.7482779313603585,0.5991702716988301,0.5745990207523539,0.6739528953647949,0.6947923937113751,0.5429966745535298,0.7322192572234708,0.8030128107565784,0.8101532061039093,0.8856438885729666,0.5267831685099674,0.5454317502226502,0.5370133005233241,0.5612251946475528,0.7602007925661145,0.7902165485295904,0.9147789745834319,0.7782425403317946,0.7398500822831867,0.7842656874237197,0.7471729034521429,0.6482324706207112,0.733630836025624,0.8605950591473048,0.7265776919465478,0.7050590101654745,0.7890798166718618,0.9686034356712495,0.7352322055113614,0.7079905204957871,0.6195013958652125,0.5890602097001305,0.5597505213536512,0.5960971339664275,0.5574919088661882,0.5288948760212999,0.5176082288362429,0.5636023446731484,0.5967756824607552,0.5890406272860568,0.6789058448828524,0.8983378663587547,0.7598231574255946,0.8068377506858881,1.0701132491567598,1.203276234605809,1.0767346784009306,0.8749429900865731,1.2832807600556906,1.1997266515545568,0.7507926318185074,0.6811422436641206,0.5538109076387936,0.5618147997697761,0.7168211105551858,0.6811880195579544,0.8783545928235428,0.9971522884389318,0.7322286058927429,0.5290277977394896,0.4489784268477165,0.39252570911696444,0.45793033605628347,0.4549091593138365,0.5685054957541923,1.2951649505901255,0.6154780357226205,0.7145966556899016,0.9139421357772252,0.6294249671645963,0.770610724956188,0.844793190550311,0.8028312665331936,1.2422029332515574,1.4144338566216563,2.7402837356869494],[0.6675562817097462,0.5411842539609113,0.403982818032936,0.3231074691459256,0.40620570331091027,0.3238082850234483,0.27956756344424416,0.3321823985275028,0.40899334758178424,0.3573649160484641,0.36956884176493876,0.4342888308660153,0.3616156863078693,0.3620881242761451,0.39013315830209655,0.3754551971453521,0.3725638520761472,0.39088676884437407,0.41674621954866964,0.40508293697545095,0.47200165104451425,0.6660079521459754,0.7027921761955683,0.7732615691066452,0.6623430213012458,0.562071710157482,0.4772149271412559,0.3676607058046745,0.3726796827383785,0.36817991488477453,0.39056314051343516,0.3994560351851868,0.4590554962297522,0.3966802063069203,0.384256131409196,0.38223301324804787,0.38367271545776727,0.4145763313028772,0.3855386723979969,0.43548664151484767,0.6890719188002878,0.5863571489302447,0.5483488567418987,0.5896177973195119,0.8910593823906489,1.0925228713344353,1.0531290821577202,0.6361461815068187,1.61005170773447,1.7438855251077519,0.9507617390801919,1.6454664601143827,1.3546259849011968,1.3702281399193916,1.4991620665201764,0.8588755033967942,1.101829388900831,0.725658577975399,0.9320613819024934,1.2486374994379281,0.8830492846749144,0.5930948687119677,0.4751073576910833,0.6290015843770825,0.5792738369970696,0.5121745815790072,0.5892664987797803,0.41930767601077995,0.5730586603755943,0.5558565088770088,0.7408739234119808,0.9444493618227204,0.6565987651099996,0.6796811133412065,0.5291418458066056,0.8349057333528817,0.43638361901428696,0.37436373126895567,0.404919402333433,0.4200057411430874,0.4215699963517083,0.5111980276858031,0.979641202773336,0.4492999485037967,0.5598422439247122,0.43933372451581537,0.4019568855862909,0.451182227332684,0.3734577859000029,0.48687042519554097,0.3816152346765707,0.5333642214822151,0.4993481151318567,0.4222275853515081,0.4095281126066788,0.4606487008626561,0.4986520053372404,0.4453805751894911,0.4361857544198026,0.5991414307731999,0.4344151869268563,0.5448506531194244,0.37923824350295066,0.43446874810069847,0.5779361036159,0.458885717708684,0.578764298886018,0.4289469673579535,0.4064426174828062,0.6150348067963658,0.3523135555335144,0.33060434486600965,0.3162037376500131,0.3415123695293739,0.34302776592332185,0.3572526830392698,0.4693221382932588,0.3492255331310675,0.45248296746176414,0.4294575010489762,0.4179755806277377,0.4223037869269845,0.36518702492602406,0.30434322212229564,0.295251422517852,0.389855156951353,0.36089963741287456,0.36484540133308924,0.343924165647268,0.388163206478,0.41698344644946544,0.4155067908181813,0.4302539417370794,0.3838311817232173,0.4290686395854753,0.5086636523577971,0.5550868351247722,0.4117935974508511,0.39029337784050055,0.36933822150216034,0.5444729220539725,0.5571038535616567,0.40912979859905224,0.3656866795672208,0.46090461218156276,0.3754078564461121,0.3573012653007784,0.3771589984818703,0.33022811484889025,0.36799527448806263,0.38680793883141107,0.452622825027356,0.8247755235299566,1.4217873752717018,1.0495563602787543,0.46857170157714506,0.3704066814632449,0.33601136261797104,0.3616737122103899,0.3784380489358367,0.3575665777376782,0.3720925416624876,0.35664208645140194,0.38259347108902103,0.4171229387919471,0.5404451704119089,0.5396142716175119,0.7679282128154338,0.8698408518170718,0.7440654583581912,0.5453936164212185,0.4006961298076994,0.3768318372741073,0.37448056332804236,0.3571269780285012,0.41363295250988374,0.4416454440056155,0.6000388393788796,0.4041650035110183,0.3884939674317851,0.4362189240644176,0.3561137001278008,0.36769614123137756,0.4612028401177187,0.4966634297366615,0.6391449065910845,0.798633457826352,1.0255724206145815,1.5913052654818054,1.0021135386291304,0.9932148160147214,1.1648696864534607,0.8795767780288806,0.7915112427382309,0.6578301787254742,0.8673629813514863,0.6349739655667315,0.5062962223334077,0.5138424691234552,0.4525171339059164,0.4645786272403158,0.4698494509044228,0.4396109685912219,0.49155167420748475,0.47907973142418253,0.5244253362888731,0.5663577173408137,0.5023900424613136,0.5777255452517357,0.6213080208634788,0.5501928327343957,0.6046723407535997,0.7812068838604627,0.7979808002495459,0.7281544149785398,0.6530701969755212,0.8303230468260521,0.6392178659907382,0.5991199743484418,0.6186438487356622,0.6909988058392559,1.4694736720192594,0.9465255126941454,1.162160557444279,0.7718362335470383,0.6461226249183084,0.6622004299161287,0.6502079495561303,0.8238710446387589,0.6266149890841274,0.5746674297268586,0.6984506676405516,0.725738962091481,0.5775061611921061,0.7460924724977315,0.8691227295106038,0.8776128249501713,0.9031249293303423,0.5640315588404882,0.5355691373220818,0.499446769700261,0.5551574461134188,0.7361905593651421,0.7900679545521537,0.8905192664063405,0.7694667366359631,0.7214064941838588,0.7731324596590831,0.7626011092299486,0.6454155785769421,0.7649388522937437,0.9161377751487632,0.7558755965144397,0.7124630642421321,0.8256019039199913,1.0216990437171094,0.7476985284906044,0.7244022239131942,0.6195058963977601,0.5800602766473734,0.5405777090401953,0.559671215869005,0.5689218855670485,0.5230756685986143,0.5410659838670309,0.5877350832366687,0.6160729931538811,0.6279595542799934,0.724261103721192,0.934263369450736,0.8036831859474411,0.8784471481927495,1.0448826598068712,1.1590021347876518,1.0860001080521278,0.9228054464833751,1.2305073133470699,1.1475620305555136,0.8276158805645897,0.7254005421531261,0.584459810360306,0.5129234579291853,0.7175711237914418,0.7411134618436864,0.9708415802323062,1.0370517060592233,0.7675827588637064,0.5199236473897177,0.4689751674793193,0.4559595907809687,0.5068575916730688,0.5312707212164272,0.6669427085629612,1.2610179066941898,0.6468821458812819,0.78218889157432,0.9037343923167758,0.6002137389856037,0.7575304977615306,0.9339279633418599,0.8408881172457161,1.1659460026268313,1.2172382811954052,2.1189788599673918],[0.549501567820368,0.49728149375335845,0.4405441269640227,0.2983857315813582,0.42206666135148857,0.3321632722587651,0.25889254171620235,0.3063358089791435,0.3777040795722808,0.2776469646289259,0.3036663151592534,0.38477549223914215,0.28017574019940716,0.286451320829701,0.3223279774237739,0.29011063190696856,0.324346977306473,0.33694473478683684,0.39323523716806813,0.3836591441219179,0.4630271924522009,0.6622515468271233,0.7132881917485382,0.8081210188358594,0.6962986121779697,0.5707448168270041,0.4932082976600686,0.3445255375183841,0.32424324574137975,0.30922858789308627,0.3261704652624228,0.3217280405408125,0.38115472668799455,0.34135863240849273,0.32267555624882327,0.3443540773862331,0.33040972705725713,0.40119725911256837,0.40411306782311796,0.5239036065953995,0.7226170086766873,0.6135590280582616,0.599663572546508,0.6442266304124958,0.991011846793817,1.130958815202594,1.1634420589623324,0.6956659794664839,1.490431363243003,1.711743623537647,1.0066557703387122,1.6288852624490553,1.414983779147674,1.4681566586904709,1.5330362735871428,0.8861799263511526,1.0951723692682729,0.7908079690321075,0.9433656197962272,1.310824671476972,0.9348273368041512,0.6021356922833085,0.4485762165443282,0.6462563316402584,0.5827435922497848,0.5052562978829301,0.5293540890337974,0.3704159857544066,0.5719859534296796,0.5645408728093687,0.6883357527882566,0.9290526694360975,0.6667962695964857,0.692952298470533,0.48456937334802275,0.8042775076667148,0.4024925365189611,0.33285165822146123,0.36048984599531697,0.40303652426413744,0.42546100695890576,0.5416154600041171,0.9348407757090824,0.48711112773882664,0.6188147471557539,0.4486583547602272,0.39090572532245316,0.4621465967416228,0.3392909303002697,0.4434319412744439,0.33916817229535706,0.5017622300683723,0.47460634059486223,0.3557836420318251,0.34579193582036505,0.4187940554951561,0.4551182679973883,0.37939367720892847,0.3706343308387536,0.5675769486140619,0.3746762278242826,0.5308908320723122,0.34234534305562114,0.4209599314013348,0.5888106969614326,0.4423671792037791,0.5660211855919907,0.4755300308483413,0.4305292836122678,0.6020402670258667,0.3602763557825738,0.3420263662318413,0.2942698347289875,0.32169453093898187,0.30221595426404785,0.3365018613090178,0.43437424023610677,0.3466720922866489,0.47034746220478296,0.41122560367782124,0.4086930638481168,0.4076038524997459,0.35339725484846074,0.2702683617170362,0.24592963802322698,0.4017103948832058,0.37160378043288034,0.39862083521998926,0.3849208948813903,0.4029979227044024,0.49818578344558534,0.5054942009990155,0.49939493024430337,0.4291961186385084,0.4779137118379857,0.5054535544793326,0.5780480926700554,0.4847237298335174,0.4198184081276567,0.4110515371081212,0.5543772789119028,0.5965706363873892,0.43605113720726674,0.37871232030001256,0.48432342510147136,0.36121285381414053,0.3562914029059314,0.34528336035615637,0.30477082522636306,0.33652024755534,0.393537932416781,0.42302255586593857,0.8013794065291977,1.410288080605798,1.0382853836090702,0.42888204791582135,0.32554662839207543,0.32630021181030117,0.30842574581319326,0.36586448648870135,0.377602260785285,0.3728482704730963,0.40411775579175413,0.4479242532616477,0.47032841115976604,0.6333788373932966,0.6189096338381892,0.87324822179569,0.9302196634510532,0.7886587514754322,0.6018131987427601,0.47145514278597006,0.4260105789426627,0.4195186320696709,0.3900480147649542,0.3982682544547637,0.41199952980999716,0.5571206975089817,0.4154627784114411,0.3997302591907077,0.49570725718180714,0.37685543469392896,0.4224735003241241,0.5406189477341409,0.5847686461815771,0.7530509915881827,0.9094341671934867,1.1580388655910745,1.7333368960294484,1.1356688588055155,1.0352199363831487,1.2219881641070094,0.9197767910697423,0.8385503846861891,0.7899183736775862,1.0294729843139645,0.7082395305209364,0.6268060734868459,0.6378095685288846,0.5315511365054242,0.5659572602635354,0.49774907096090404,0.472861690592696,0.5664736389338157,0.5260478665605444,0.5261299421791522,0.6030302207221477,0.5687607121368445,0.5818065696873383,0.64004157013598,0.575876907643816,0.6275262652198605,0.7983959034649792,0.8503580566972431,0.7823978363873473,0.7252139163574263,0.8679606356535783,0.7408717841409093,0.6710149220341605,0.6870779819796424,0.7663512370854851,1.3738304860402484,0.9841463168811254,1.198555129249249,0.8008300233090362,0.7068350314303148,0.7347811078770026,0.7593356764459006,1.0125515856968899,0.762625743373344,0.6459176265193436,0.8484790155153947,0.8872518719164588,0.7201389745987639,0.8928758220778906,1.0712885506087142,1.058089927976429,1.067462520012679,0.7145252566101178,0.6173003017832834,0.5813752272410557,0.5530888821353518,0.710624409834513,0.8007301865954395,0.874644766263255,0.7666539530445502,0.6947849489472555,0.6939668138226257,0.7122981248825395,0.6026382344585013,0.7091476915676435,0.8693108424603313,0.7305869311311372,0.6923259336150843,0.8225426284044143,1.0309361054266635,0.7632265717537223,0.7473585698807125,0.6435154638810354,0.606303634187267,0.5376312212177773,0.5843513222516308,0.6433439093095129,0.5769901226432236,0.6140065728329785,0.6819563041325781,0.6991469139770881,0.730767373739238,0.861094651808228,1.073829500732838,0.920989994747708,1.0465434384735015,1.1872723962304188,1.2669616944480344,1.1843012956598113,1.0209567741678538,1.329668862660047,1.2191227572910732,0.9480947755843031,0.821927387243773,0.6587789088210886,0.5629383681754387,0.7494509551165417,0.7930861681371295,1.08673962545668,1.106973485488863,0.870669221315588,0.573257527263441,0.5539556065608853,0.4841806730807712,0.5010031841232166,0.4927457892382037,0.5966894912611714,1.1451144126642192,0.6020566881050049,0.7122896635634993,0.8291681390170857,0.56614301628368,0.6743413724557564,0.9058631378638047,0.8229855195223459,1.1421557958781898,1.192341209618347,1.929517791652522],[0.6820889651664518,0.5496924517053965,0.45441828466500056,0.3723710363564081,0.4746876015942561,0.4178835290138845,0.34999437139263295,0.3757704117649094,0.395031164586787,0.3440601114535094,0.33882030133691465,0.42310614520059114,0.34778061841943664,0.35148076964882563,0.38303796444645466,0.3716265441492439,0.41303212279916773,0.44929979853776175,0.5369560594075394,0.5011193551655854,0.589907120734627,0.7545369969769311,0.8499653139447988,0.9226294068264659,0.7921597055757591,0.6883312862983387,0.6173879579061342,0.45929397241182984,0.423695633559204,0.3934027823260145,0.4064760009975295,0.3865021592707494,0.45317279262311067,0.42555465975506357,0.3945526502628259,0.4173864186750181,0.38396672967336604,0.4962437882976595,0.5027036075832294,0.6101720194993157,0.8052264330542135,0.7176706669078955,0.7048362612409199,0.714762632691933,1.128746353477244,1.181681012495543,1.2529398124818747,0.7539662305787636,1.421957382723878,1.6174500079105991,0.9927733962371299,1.5885868735231545,1.4202981796692669,1.494629180881533,1.5748516734168745,0.9380226756412202,1.1413301359108137,0.8373043941308195,0.98145905299126,1.3450417038842308,1.0138836605904322,0.6350957749102405,0.5193331999690316,0.7723611202888077,0.677611353420451,0.600159142947955,0.6226296133400877,0.47547625511797964,0.6584116580927751,0.6418165903846612,0.7523992793019284,0.9816509212468159,0.7417887194460919,0.7990763124678802,0.5704855683930905,0.9482133820728027,0.47351383654030466,0.4192150949136728,0.4079774578374276,0.479255702551159,0.5006582253684395,0.5919924416624136,0.973421531877765,0.5184021629241293,0.6891625676104255,0.5191345279607334,0.4889688419194152,0.5145648250872247,0.4131261551726232,0.49409099854010935,0.4301928036664305,0.5959135417583512,0.5353598826961942,0.4323742346124962,0.4228123372418913,0.5066411019349393,0.5433956226024409,0.4708741413155002,0.4629891404961509,0.6462246832364688,0.43015437374814913,0.5407021553782997,0.3852158812636909,0.4643696959715201,0.6038503698826936,0.4807027107273724,0.6026389454815155,0.46455469340073885,0.4278374390974391,0.6335785780604032,0.3888621009481602,0.37145851954537756,0.3536222655094454,0.3904355912296067,0.3714694756081977,0.4319578103207486,0.5153923387737357,0.4743466116609069,0.6027608414041352,0.5116500227828898,0.5161132277574633,0.4919553432873008,0.46267322166906,0.37990782686647534,0.35072972957794185,0.4725134464148422,0.3891513077979688,0.4149290894237705,0.38162533576914803,0.391412236685602,0.46962806194221285,0.4807897181109378,0.4743763394770125,0.41676396992098896,0.46307808886655966,0.49461909764178486,0.5560328668597955,0.49939031019246355,0.4573614922166413,0.4623707187019777,0.6552704787289267,0.7197069164665436,0.539049445794958,0.46443017826666116,0.5394544398122921,0.44947086982242446,0.432118646666456,0.41602652828072256,0.3572844869105411,0.400788601704238,0.4190217939699239,0.49821328497180933,0.8966868129612957,1.5226087369342496,1.1351401453400918,0.5094868747963258,0.3910916264402536,0.3750150027412893,0.3536588385189792,0.41265577867984277,0.42116405753665986,0.44175880244502513,0.45473710656539357,0.506783400426774,0.4917230709680691,0.6515302086988698,0.6114618284978739,0.8639839856614262,0.9106710868319305,0.7707359768407634,0.5934165895704264,0.4796800326004657,0.4414240381468458,0.4421123595575389,0.4332581028295794,0.4331785401101574,0.44762555438128027,0.5761511212806063,0.4457400905786812,0.429955356457793,0.5240170342795284,0.39412848595614314,0.42063389476955315,0.5212648300539109,0.582828743954311,0.7991500656732906,0.9869454603873317,1.2410754964803743,1.7925664187270633,1.179756094251748,1.0719681717335607,1.2431484926152343,0.9218625684229805,0.8313846508673834,0.7724982294014595,1.0184933639418552,0.6750071846473341,0.5913785127685609,0.5982662085537409,0.5082455383154502,0.5418287132613785,0.5043208486584217,0.47457791618014067,0.5555405416490826,0.5293792065809209,0.5455877972922274,0.6015067518499846,0.5647781559478315,0.6127158187957283,0.6670215771582839,0.6059784412108579,0.6896126180007142,0.859707493595913,0.8703818572592422,0.8401372410175881,0.7666343512315389,0.9308964129280802,0.7772853644156383,0.7219263978831713,0.7235977341612128,0.8129456705571328,1.3871818774796327,1.0227803322801967,1.182321325707903,0.804239993908336,0.7057553023151545,0.7229954288205276,0.7327156847640004,0.9881721180225596,0.7213661456602174,0.6414235298251456,0.8359386572120625,0.885443283962212,0.6984577612764483,0.8372754998742233,1.054610137166611,1.0376672591871343,1.0203728523228635,0.6774416578034111,0.585731540436179,0.5475758282684849,0.5575368103067574,0.699079866617626,0.8315990258340258,0.8768877496018096,0.7670314657926909,0.7003268124337717,0.7341421551956923,0.7406431895317542,0.6403035872435661,0.7749782480147698,0.9340429604920478,0.786195092911178,0.7447813847520792,0.8968528327936689,1.0808009864658699,0.8251248609780476,0.8205213488996342,0.6903365486342552,0.6376987536450086,0.5593593656611271,0.5923163092805738,0.6622501174207777,0.5903395408250796,0.6122634831002687,0.6962663825196801,0.7178755811700221,0.7167397673055086,0.8483931561244702,1.1086455710872212,0.9293877566743813,1.0292433639967475,1.174917823390681,1.2621968711970128,1.192073184431414,1.0573786708343331,1.31024334193672,1.1776305757676004,1.0267764275081797,0.8348688877265459,0.6814494559056623,0.6147318247400494,0.7591189965630107,0.7992458590712638,1.0623388353521441,1.073636960012619,0.8593180610653142,0.5540192800370058,0.5268643726928252,0.5150312616999633,0.5262139317782301,0.5207413939122013,0.6704034657867239,1.2037320611070739,0.6039401021977453,0.7801910689788022,0.8606515974884682,0.6039963835888199,0.6499506270592574,0.979177538742315,0.9037936639386059,1.1122355346555708,1.3409152196346557,1.8063262159211537],[0.5251951519320596,0.5689122364725898,0.5794776846899634,0.35592488736906047,0.5026386052339916,0.40712845975643946,0.350474798211086,0.3915323103362678,0.41345103851422893,0.3285023485043614,0.34387382033673725,0.42339108805026704,0.3368171514137968,0.32419035738376406,0.35744045094335236,0.3488852597891492,0.37143289941324775,0.37245376014452825,0.42816373265573826,0.41617354870927536,0.4920578005441435,0.6906341486344483,0.7716994575070381,0.8372320255483349,0.7169395629835538,0.5811575897216957,0.5282264820715217,0.36868735898692245,0.3539775625717528,0.34631526833449344,0.35937517544725855,0.37553531417392166,0.43520841255294146,0.3773205892845947,0.3544448730564896,0.3660320801883556,0.36973432579380455,0.4238192646217264,0.4141323347240206,0.5440830855992109,0.757608931500486,0.6509520279593639,0.6350832101303231,0.6789608906940946,1.006725688054591,1.1873598682405322,1.2199354738739028,0.7447739550861034,1.5116997489078976,1.824448883445806,1.0693208033234969,1.6493004153999526,1.4302755008174197,1.4679256046695905,1.5489052945248085,0.9207846832033895,1.1298989732818456,0.777450421536521,0.9251980851056354,1.3806091799687608,0.9586503092783019,0.6028227704120875,0.46282368290150316,0.6719537096883547,0.6015798581974858,0.52114563685093,0.5500979100731695,0.40785442466981253,0.5717528053680073,0.5882084473953887,0.7076213645726354,0.955368190160301,0.6872487585998642,0.7217658521552985,0.5101323064531085,0.8370668365870602,0.41729371496682094,0.34561027468892147,0.38850449467221837,0.4446670005866716,0.4569234955778744,0.5695315070049727,0.9122441472985209,0.5410789154663822,0.639433495252482,0.46902043393748544,0.4233324055167688,0.4792015108204133,0.3764496104320571,0.4454819672874448,0.358753751537209,0.5189093312244838,0.4681421574586836,0.3943570396442314,0.3893711361629828,0.4522919446624145,0.4938606626834346,0.4420331381159033,0.4287592317561947,0.5970307861468289,0.43280313608892795,0.5948757629979946,0.4252997375416635,0.5225750275672005,0.6847394627110988,0.5336616890624936,0.6866615411426341,0.5686377602947067,0.524449577030035,0.6835106917259424,0.46451818539001927,0.4292130888829736,0.3725898809144326,0.3739050401413124,0.3682043819224953,0.3743065320141466,0.47003550715329234,0.3703347545302813,0.5036979747877114,0.4430059929670788,0.4369424266210658,0.44149020811198847,0.38126420501236824,0.3338023839798775,0.3116490576106667,0.44030886620682763,0.43980795129447636,0.4607106958050739,0.4685940385985067,0.45576587064702756,0.5506111859074861,0.5803555196102418,0.542674476323586,0.4850116733171421,0.5079101621964822,0.528450105926404,0.5811215826827361,0.48922271782422033,0.37255605063786157,0.37324613767026554,0.49224794747404416,0.592327570458209,0.41037943742801347,0.3587655661050276,0.5156189622147662,0.38197083836006634,0.3783528289293129,0.39850200228679555,0.3923913726891608,0.4169018146403625,0.4857669402822771,0.4985899657954822,0.8867558163533571,1.4422363436932994,0.9935293069669321,0.5002510444188706,0.4064865336485171,0.429678926164586,0.37380018045744917,0.4590330532871909,0.421043759502641,0.4044022772134712,0.405775392422392,0.4556686103928009,0.46354331330900456,0.6341919519071744,0.628075004320165,0.9173514519916129,0.9794660169957637,0.7934424676004573,0.6046315121116683,0.463984490772638,0.43678755583018886,0.45630520751821335,0.44637263230392826,0.4360437635931295,0.4566400509745418,0.5844571485640302,0.4696707141089967,0.45979944908757997,0.5422216839229008,0.4455688501009021,0.4606237254134823,0.5605490193826159,0.594726064077552,0.7491504228546283,0.9171130630384692,1.1274265570119788,1.760496601926585,1.1873730016052424,0.9612479750712914,1.206719179170652,0.9019717643135595,0.8479452382836196,0.8494276030118066,1.0899551440320931,0.7284873833282061,0.7021438699719041,0.7053230231490106,0.6008924619478311,0.6651114343961203,0.6006671922598723,0.5593488699484233,0.6418003961062413,0.6123751869481219,0.601016733863627,0.6427373671203797,0.6697669227557546,0.6697667077012259,0.7344072455568856,0.6950079659068042,0.7481002115398258,0.8703663671550724,0.950911955839137,0.91247020006446,0.852757824937106,1.0089625806703022,0.876153906447808,0.8141639112147843,0.8153915477061305,0.9130633418112759,1.3836523423499245,1.0923244116705968,1.2472171941534185,0.8804173386627601,0.8211122702692826,0.8780074100750302,0.8978057853844734,1.1646559764709503,0.8748289963500638,0.7814829160078394,0.9711673308059879,0.9944550125683932,0.83866355880462,0.9795936669134275,1.1503254891641346,1.1422362106508335,1.1238734122324472,0.8074387567875775,0.7127821404250942,0.6746789961344362,0.663596854834246,0.7659348087051513,0.8629791247492654,0.9135864718945196,0.8466660507541856,0.7374016772033389,0.6849110296821891,0.7123825196296072,0.64644026218709,0.7501648200883976,0.8986041591370431,0.7808690509415392,0.7554189861912853,0.8774018127063865,1.0785720549024294,0.8466490908514137,0.8446610691744991,0.74800810467578,0.7010641252238706,0.6312907863480702,0.6965276775336572,0.7661037274685338,0.6833694310684019,0.7255055628491333,0.8135531001851567,0.8185032533055254,0.8244987593760484,0.9800885065603772,1.2416821904740534,1.025263893382787,1.1430384239838325,1.2637010088806528,1.3266625196946793,1.2510618934531408,1.1246750819675697,1.3847723884190897,1.2416696081622856,1.0813661865202113,0.9219706520288826,0.7726163285097656,0.7313778147149397,0.8220399228944242,0.8388951368863352,1.1115656772743048,1.0562211127383123,0.9037081018398264,0.6005773892475011,0.6054931578324076,0.5699762506390287,0.5995495666534002,0.5666893722971268,0.6371482268113575,0.9705118104418452,0.5904664314598629,0.6651797742792909,0.653477198913287,0.4839159102677818,0.5747316587597229,0.8815614387964741,0.8360381167509855,1.2028469450636303,1.4166123567134739,1.8072569805061187],[0.5856516350711727,0.5997736854778886,0.5964842662924328,0.35579926157650343,0.525255112561881,0.417433785863846,0.358552096360951,0.40458651781558497,0.4215966955038491,0.3534208487454665,0.368595846925605,0.44156205900723844,0.3607425998492754,0.3527036025079574,0.3741173793449454,0.3878155458259179,0.4320537812120722,0.4561163193680013,0.5364101386051723,0.5177417820736129,0.6003620092078913,0.7651262589743002,0.8659719251289639,0.9222576009726029,0.8047923092509051,0.6793809639982511,0.6352611858091574,0.45278444463695744,0.42838688287396404,0.40458316600751904,0.41637445780133536,0.3986020140728365,0.4758276394117271,0.4285734691847626,0.39471101136426406,0.43162868602299403,0.39907207247650484,0.4801698593441125,0.4940233037442615,0.6143194011634379,0.8224103082256644,0.7193399552489955,0.7053860465320092,0.7246597056119781,1.0775930697657896,1.2092144728649474,1.311288531401491,0.7957184257613401,1.430832074750595,1.7716137949892612,1.0833660975192423,1.6604738731598057,1.4655955325445436,1.5289583722445328,1.5199499992257426,0.949581799974671,1.1827607726361065,0.8116879595255413,0.9169914581514278,1.4832407328531407,1.0425646219702625,0.6819668864100485,0.5396608881697686,0.779400307381012,0.6863244195919583,0.6073696265690725,0.6156869882472003,0.4855701132199978,0.646657185428236,0.6661306274351086,0.7620519571639536,0.9948728200590619,0.7595389590245053,0.8047530779971042,0.5927826958996069,0.9345490719262352,0.5072174246438944,0.43257305051324907,0.44249351239148155,0.5052672356641067,0.5152399645387093,0.6217657230485887,0.8971210791576657,0.5922807723270916,0.7099063395590338,0.5159155468958796,0.48697416601503474,0.5209149123243423,0.44460126759093527,0.49962704973032424,0.42562987564915056,0.5855206136986542,0.5415529931765455,0.43679500881917444,0.4252386873834433,0.51028849267628,0.5394314682654566,0.47991335221329795,0.46252710214362897,0.6279386597808021,0.44711957619213705,0.5989510014653946,0.4280483143515844,0.5335268585127452,0.6879926231583925,0.5502783245327371,0.6953175354327755,0.585325572667904,0.5407363832632551,0.6878194512798873,0.4775657670810843,0.4500807060022283,0.3908720142472551,0.42097835397654837,0.4186748162068698,0.43888638094991994,0.5191012672703404,0.46921350067930273,0.6206973445142732,0.5148529214254038,0.5227092751363469,0.48875922575660763,0.4550008034936826,0.39285221313285384,0.3615117615891703,0.4872763196096774,0.46489369984075773,0.49247688453116084,0.5003899039234342,0.4853318925587269,0.5896155773755645,0.6224306243822021,0.5867068935337606,0.5218491013262635,0.5527296329291037,0.5499923028639028,0.6354682103809588,0.5302838180964917,0.43118453199753376,0.42643495393132175,0.5417011500702484,0.6573164952679581,0.4736476403746983,0.4397755729585202,0.5896210879750833,0.44782034185596153,0.4457960946503797,0.4415337409449199,0.40911814302501515,0.4235225577963045,0.49133093553141644,0.5039688691632033,0.9065458706084282,1.4687066824585129,1.0364402522777911,0.5101874780147696,0.4229935343792469,0.4365512674090214,0.3873854970036683,0.4634278188975643,0.4638312990748369,0.45412537078001475,0.45596654873796455,0.5093797219680818,0.5139926141281206,0.6804805914603234,0.6987255041169544,0.979165279786587,1.0221315982208048,0.8265047679465569,0.6621472667908718,0.5152420341851358,0.4946658916578796,0.4987206660171661,0.4808252683924744,0.4565190184410768,0.46650807980028186,0.59259535637224,0.4972418132372076,0.4891858228286328,0.6018395687571578,0.4759063771320079,0.5098376846398709,0.6130134279751288,0.6481142150633993,0.8201373743510708,0.973799541856261,1.1959635089471101,1.8272882789349658,1.2823623091258243,1.0031382701388933,1.313216496225509,0.9904425777418296,0.9221556251828862,0.9279994365582273,1.169494332050754,0.7751631996190392,0.750224270332742,0.74698243563738,0.6295443190150576,0.7018736939591361,0.6277438146078995,0.5851986788552321,0.6785021165568224,0.6526461979299087,0.6375373475784217,0.6676539959305553,0.7153887948207911,0.7221081774054328,0.771977325285639,0.7517737297934963,0.8235282779106795,0.9325974850058315,1.0052523199928713,0.983769057294278,0.9239436300078382,1.1210950244180387,0.9796141416028947,0.9002980976220216,0.9021693454785294,0.9802659003112373,1.4571835797599615,1.1737936240001545,1.3026479418036625,0.9657312615982732,0.9144696341600266,0.9476661780631488,0.9880682598292335,1.2748889916556676,0.9487235839661396,0.8415026123306044,1.0668379036484341,1.0811591596829788,0.9085881972905566,1.0719108701912365,1.246813603712465,1.2191673983582256,1.164946862729717,0.8655129339135255,0.7496051855518994,0.7231252939211424,0.7030536113324312,0.7874342425101875,0.9033754084644464,0.9295255688552893,0.8737211332937274,0.7753925387415188,0.714352749477262,0.7418592661981075,0.6881510025692769,0.8019328149839555,0.9498441895101996,0.8289879190417689,0.8154587499356651,0.9477035885827529,1.147203633355717,0.914822273023094,0.9252411746145058,0.8261994395305112,0.7737055732998827,0.6894564308585405,0.7598087578558699,0.8541260458349081,0.7462860950906134,0.7859101692180713,0.9003366214710811,0.9009401374436754,0.8793788554605642,1.0653440727104169,1.3541890956808489,1.0901022841607504,1.2097249204572325,1.3471751351629293,1.3910593553617476,1.310033449665683,1.1842005357715397,1.4613516837550766,1.2892271646204423,1.1876459226258376,0.9916783155986962,0.8330122612327202,0.804779022863379,0.8556400756718184,0.851728051106334,1.1146482635489996,1.0404280114010551,0.9159794831272695,0.620695637544005,0.6332624084608856,0.5920132436245471,0.6189180380755476,0.5817074248933347,0.6637205824844299,0.9997732953540649,0.6002143101829936,0.6878228491822831,0.6870674383204359,0.5108293782145946,0.5639853991668533,0.8897158134848219,0.8766292616893319,1.2064832334232183,1.5397617123753509,1.8375952630023797],[0.6618629532904002,0.6339983642128006,0.6335527579544659,0.34752660284355313,0.5480760186741057,0.432190814496516,0.3843693032993804,0.4240642342652732,0.41612829650729494,0.3143022294908773,0.32196915539805876,0.40454938217191466,0.32482839789543405,0.3039337012307476,0.34711737351733735,0.3390411804078471,0.36188813028087835,0.3727524882436569,0.43198345437942437,0.4128060234817145,0.4949270460539029,0.6788665694258308,0.7582820724319109,0.8351902641902581,0.715720938884545,0.5896592979873991,0.5159695591580361,0.3671980927088552,0.3363800792798322,0.36289707697271184,0.36769572728407623,0.37506304269420715,0.4459893221022693,0.37385150383676263,0.36437389013982563,0.37264270002663047,0.3786550250938582,0.41844860618076385,0.39667439604745186,0.4984654977312242,0.7289211633093542,0.6244742330318602,0.6063371417338204,0.6486820467664399,0.9813567348336902,1.157972006324643,1.1900378698587852,0.713733688250601,1.527249429655745,1.8197625885892315,1.0542547483063704,1.6546821357304466,1.4165748843265042,1.4262808591718628,1.549134716902734,0.9200083507553596,1.1404480802567976,0.7536995537300327,0.9196996355566411,1.3253661010826878,0.9479106177419193,0.6123943434306451,0.47487394989773274,0.691658690298212,0.6030742776788321,0.5278059374286522,0.5513281009095343,0.4059831846524743,0.5947102175704443,0.5875742427556347,0.7175000813170742,0.9592113259453425,0.7029061229765291,0.7585355845978371,0.5071334183166285,0.8746585403659478,0.4085810059334672,0.3496202547582529,0.38009081703035313,0.41816261126973303,0.4391852944810082,0.536557644612424,0.9614793809579865,0.4904875321499673,0.5863541576220554,0.45315102066518087,0.413272551997988,0.46943322420561057,0.35859336136057707,0.4309634416386047,0.35666771322582713,0.5342154393017342,0.4709610637275593,0.3898328147358436,0.38533820077985154,0.45970342841934925,0.4785309029645906,0.4374709007669559,0.4368200125646657,0.6387950494540567,0.4429355682661132,0.646379508803572,0.4419090800440442,0.5491813943335846,0.7346902139272962,0.5785244209367834,0.7396874008717634,0.5775203008294089,0.5588872897166746,0.7026213470683803,0.5124278786188794,0.45635391720172397,0.38448162578705347,0.3869488053251206,0.34240683828907426,0.3667366629913057,0.4610221749800851,0.3760719362936343,0.5174968570717083,0.4553078136417484,0.4470304266646459,0.4179373231683752,0.36790319397795085,0.311868875005281,0.31352941115704197,0.4469051744493957,0.4494714351861934,0.46009588327635925,0.4778111638094485,0.47956771207043675,0.550857641268772,0.6018506012054073,0.5325342818648283,0.5026388688373711,0.5003194012075789,0.5050127834062842,0.5648007143937442,0.45740828944350376,0.3611538720478886,0.36593624925183493,0.4945129066060155,0.5979997660437527,0.41034251751683903,0.36285772002202576,0.5011630481453894,0.371337062249657,0.36569096722964606,0.3916919841709627,0.389378664038198,0.4250787143959327,0.48281479822482143,0.5129940681847943,0.9160838654520406,1.4687630173733834,0.9887326241019087,0.5308244618264,0.4297444273183924,0.4495862303821191,0.39469090153839026,0.4554383147951353,0.4263503375965883,0.39478125152395216,0.3927778172395602,0.43281892139304345,0.46067999198172327,0.6231291909943306,0.6148134493804696,0.8964876742167579,0.9737711157055161,0.7798273732951022,0.5928678407534674,0.45179819817698147,0.43225477034858517,0.4500660501141432,0.4362614448484424,0.46638443298291943,0.45167335570661815,0.6290768187149829,0.4476051154878172,0.4573281982228061,0.5413039468629487,0.46396411118366965,0.47062227590810923,0.5578215565780119,0.5865619823339843,0.7181563613496618,0.8749625350292272,1.093574531378164,1.7337336944564299,1.1375456066921452,0.9412755038588976,1.1588798559691504,0.866535096447289,0.8143603040685882,0.8104238645753752,1.0510916334449778,0.7197686637996397,0.6969653072413914,0.7075895905714549,0.6152303353152477,0.7001164683077531,0.6668559467614517,0.6178644557730809,0.6906439479035033,0.6961855022080121,0.6994627961926766,0.7005078248037946,0.7507023823788974,0.7985406860462017,0.8313657564627769,0.8084708252490175,0.901466717492942,1.0117935984345787,1.0490646370356738,1.0320892235699912,0.9562473894157327,1.1767927751785994,0.9965768107948001,0.9383935564084461,0.9362804266351837,0.9946204467280861,1.4653865173917475,1.1757769812941368,1.3391862398222307,0.9739244353948555,0.9164982217344423,0.9463795196722906,0.9420812063866559,1.2205261892073742,0.899962796426191,0.8274407909832601,1.015899233934558,1.0465611335364113,0.8681521305452099,0.9666492010964999,1.1670628627432884,1.1707507442402094,1.106413978011819,0.8274573123597423,0.7404830539074003,0.7098985871922011,0.7348217635085018,0.8254429014286531,0.9758660335770721,0.9808651941663432,0.9185508948502924,0.8376989975439407,0.8035676605442201,0.8292511431572083,0.7834293539140175,0.9181692135645269,1.0683601439409083,0.937746540735632,0.9208750086416723,1.0648606020620734,1.2480885586575112,1.0047755027611645,1.0138918576151936,0.8904699622891116,0.8411660174942933,0.7576945716711081,0.7991718360301219,0.886690147970269,0.787119788843292,0.8095117611615623,0.9053533874600009,0.9161888839520813,0.8814635973694099,1.0402690933548528,1.3245329429746293,1.0952367746637246,1.1768765903040443,1.2917685854972059,1.3482816252186476,1.314313803459098,1.2304246384663904,1.412696056110589,1.2916214628332918,1.2642536823752748,1.0033618427404756,0.8721899171801452,0.8848589195246996,0.9034905232658945,0.9263426946503955,1.1307811859228114,1.0751322916074042,0.9456465183369072,0.6223629425937196,0.6282116622097701,0.6030022845340842,0.6798024805427955,0.6775212659245353,0.790715404953396,1.0891692951607932,0.6846480079886152,0.7736660738908426,0.7083477108486752,0.5256312368393021,0.5628713695098146,0.8902230208744627,0.9144946089229915,1.248193394149873,1.7715286460467898,1.9399732929609583],[0.7042462218763196,0.5920874798811117,0.5393182780859997,0.36813194721339626,0.5375802243501303,0.449056470461782,0.41453004664931636,0.4332577090701011,0.46767882051966997,0.41803670666188186,0.4209249078017718,0.46476980799267326,0.43588161448427765,0.4399166677339788,0.4614801820690991,0.45128920617719837,0.4808707934407607,0.5359445523516156,0.6154440694590692,0.5638563999909965,0.683184842150928,0.8148180097590645,0.9209227815479232,0.998535532630553,0.855477123350467,0.7584547716880156,0.6752251295552093,0.5272126100482769,0.4827888102591764,0.46463708924431474,0.4865133864126419,0.45152243685391164,0.5103436017335525,0.4825292996095431,0.4685761709088973,0.4981023625251536,0.44416572137246435,0.5447806923618013,0.5379878368024835,0.615526600698109,0.8316375074674717,0.7509753385983944,0.741122433378063,0.7172254273038944,1.1368747104387562,1.187903525420771,1.2767155236151573,0.7657220659943738,1.4393974207458282,1.650116089921129,1.0019855207547803,1.5752670237859836,1.3933473088122343,1.4410731456770338,1.5605931822218002,0.9159260272709131,1.1500854488021954,0.8305964198454143,0.9908173327905456,1.3463505570158525,1.0309876438065813,0.6996463993363655,0.5961857616784005,0.8457112335420018,0.7367096219902923,0.6630336704058674,0.6819345925538747,0.5554464739920764,0.7314226701866612,0.7072085023930405,0.8250008077207749,1.0431701193967078,0.8190949306877853,0.8666452862930878,0.6839720729610628,1.0439959304847946,0.5552662542803908,0.5173961988290672,0.4790858022350654,0.5178562705079695,0.5422713864791974,0.6175718667785088,0.9807796248431746,0.524437122948226,0.6688863129855134,0.538496144579796,0.5380541715984287,0.5477644473030536,0.47146378783622794,0.5447875462248809,0.5173985608400835,0.6660272527474765,0.5945149454947068,0.5204045448026748,0.5089075609653799,0.5751912323716012,0.5827446957609934,0.5234864664667281,0.4999184454101272,0.658373837624824,0.48603951444488247,0.6154031499091397,0.42807394416076633,0.508542040378597,0.6428856682771481,0.5177441791713875,0.6514738938287334,0.5337046877163928,0.5144146494414442,0.6830347464145008,0.46040728747378346,0.42655568188018106,0.41450613506288564,0.44221469702344,0.44623112663326514,0.505730840149313,0.5773304761638999,0.5347641470251372,0.6855551258364413,0.5987059775867145,0.6028575125275045,0.5696282221861816,0.5278365309000213,0.4570679092859924,0.42362461478331614,0.5188694927273465,0.43761368774505144,0.44645065490444197,0.4332428301023737,0.4216813973485298,0.5236783936932873,0.5483101787663124,0.5190573935731019,0.4630348568462828,0.5047862785870791,0.5130485227684837,0.5841955405093059,0.5037173060022602,0.4905181517752547,0.5046200944013731,0.6691842387196243,0.7553992898030036,0.5856984921226844,0.517162326684594,0.5891204740726813,0.5063327840213886,0.4876769211635232,0.4672156035463674,0.4206017412526493,0.4471287034376087,0.47838844191232993,0.5275592186448159,0.9482220705692203,1.5620706155775796,1.104956615583142,0.5388354962078903,0.43790438012270116,0.42571783878592434,0.42320909502944565,0.47249773033472287,0.45308831153314755,0.478521924068453,0.4848118372239429,0.526058498607539,0.5073963277464197,0.666986724202467,0.6467866678024596,0.9174722622365448,0.9756301702047858,0.8051519089909905,0.6229271618451515,0.4900064923149881,0.45739216015018896,0.46581828239246337,0.462616033168877,0.4698565673796726,0.4736655656692022,0.623869533945029,0.47585707719021,0.4582581065881601,0.5577656489620045,0.42772072603619476,0.47282230866538627,0.5798269788282672,0.6167429172051119,0.806718022625659,0.9786567246504397,1.1976993402357976,1.7809453436428377,1.1921116015006379,1.0377986049293668,1.252221954729479,0.9339080317724794,0.8541568012917916,0.8258784585433109,1.0673675553061988,0.7266661078599431,0.6539521761850714,0.6540297479095457,0.56458642239473,0.6102696855226336,0.580296588512258,0.5444097946261435,0.6206483143007762,0.6096000339758344,0.6138188596840239,0.6559187184190168,0.6657802136806925,0.7117797152890577,0.740707571086806,0.7130961087807517,0.8138619572453375,0.9317600511085654,0.9348471727068851,0.9566147041943144,0.8752557795450839,1.094362130442403,0.9254678503685722,0.8585127688639511,0.8649646156866805,0.93961191221694,1.4442988983573004,1.1356522214474036,1.2830377692809363,0.8792589762533541,0.8048055409760817,0.8248825825268555,0.827508442513491,1.1056898485725917,0.7982403485792661,0.7278264376423091,0.9175177688344957,0.9624359036551143,0.7822879513992649,0.8962642999144615,1.099944558604615,1.1065341220174099,1.0625458427680528,0.7570508238699446,0.6641061512958403,0.610951845204895,0.6441318141660181,0.7574600651352831,0.9068650178804666,0.9412363235225634,0.8462332222427423,0.7516687177167801,0.7617767457608862,0.7884983675540631,0.7120142397861663,0.8636538208079305,1.0237465079601304,0.8720177166323773,0.8490642138521692,1.0103606120560378,1.1832371987357118,0.9291058254241713,0.9392032715199589,0.8055672114762915,0.7498364584881331,0.660221335306603,0.6929559730884398,0.7892445312413159,0.694564899661243,0.717180202183575,0.8097794803260334,0.8286261744140255,0.8038319783159851,0.9556016366306623,1.242745366646369,1.027178670160859,1.1027096112925128,1.2380109665762449,1.316705450881879,1.269719758200899,1.1746447863430638,1.3774607374072991,1.2338477421045526,1.200846910400395,0.944602381746892,0.8008557940503107,0.7870140674709531,0.8470653228253191,0.8841083040458667,1.1102801390876704,1.0775427308442593,0.9192771327033942,0.5915737424330807,0.5811287432916853,0.5729153692373948,0.6043765358561306,0.594489478417817,0.7261352267568539,1.1885821856596313,0.6251284051691649,0.7443666694223654,0.760832847484839,0.5409280704907552,0.5252733235999123,0.8619705828452193,0.9329284764452467,1.1531167029635574,1.7073373062029669,1.970522631614787],[0.6680419829305894,0.5832112266893854,0.563121464206743,0.3329735525336815,0.553274331503307,0.4432343038919114,0.4111789679655182,0.44912943453190446,0.4423515881912947,0.35982136001388954,0.3706873658277093,0.439924571706901,0.3691637950263239,0.35649049916052444,0.39849943316014064,0.3970689661503019,0.3975826674365912,0.4067043934212461,0.44223750899917924,0.42929014799899756,0.49286519037700904,0.7033447202641427,0.7370803710378722,0.8224890462852052,0.7042689253495573,0.5984191520736164,0.5227948177893097,0.40253131516677587,0.38378519780171216,0.4082022758070421,0.41428186432917363,0.4245945908635461,0.5077910815884623,0.4225515030242198,0.4278359076292974,0.4066723787344399,0.4184313568465113,0.4577991416523512,0.4270485269596726,0.49458256443826387,0.7279183284065877,0.6383578741491109,0.6083861118780973,0.6564945550580127,0.9471096924085362,1.1254059377702816,1.0915278677346434,0.6844176858620461,1.6114369171761747,1.8275592712475408,1.0035180813706681,1.63021811106826,1.3742030110784447,1.3604820187227855,1.578490853560345,0.9380398877727048,1.14092047550458,0.7572403407356051,0.9646403145048821,1.2441976033542537,0.9157096213902135,0.6305329381639067,0.49230819742346105,0.6916343023639794,0.6210667558092096,0.5513297087320087,0.5677036450430757,0.4206439277262506,0.6002075566642275,0.5735290766405523,0.729549096733917,0.9632796699711531,0.6899780444664733,0.737910145531663,0.5043290349334378,0.8977930420349214,0.4227597570595466,0.3817153128191057,0.4057443077668598,0.4295992917605572,0.47858105371703147,0.5658981439252468,1.0328581917117847,0.4985205242357476,0.5774184526068163,0.48982703558879587,0.4519458455749336,0.5101518558674523,0.38988830621841225,0.4585134257354285,0.3953143793095754,0.5417685308633268,0.47826273187258167,0.42603482333422177,0.4236688356328844,0.4896509058111601,0.5061719206108632,0.4831774158702414,0.48618405963508243,0.6747789884565405,0.4902707208158135,0.6614774252076469,0.4644667266229858,0.5548746044655599,0.7166718873432111,0.5826411681689768,0.7142772337350212,0.5551965002772725,0.541737228417189,0.6963552642927358,0.5059196682793246,0.46365735009308495,0.4145413326001367,0.41686040081359566,0.36695787188009804,0.4066425642496392,0.4929538380301618,0.40103334933124707,0.49305683378767473,0.49416595342369124,0.46984369782551305,0.4430854850236727,0.38717754973936264,0.34108552423025423,0.35231112239982726,0.48365056776439097,0.4503095186055746,0.4557863107105424,0.45944388794986946,0.46738963490144453,0.5305830529436908,0.5676514091724555,0.5133234271695447,0.49927941270816634,0.4908224317743281,0.5051896233212955,0.5483011929122094,0.46769473151786206,0.4038858973914684,0.397950871550441,0.5479977390793577,0.5931705305773569,0.4490615495660556,0.40133097761545844,0.5034535708792199,0.3958690030445217,0.38853280195274964,0.432378896533366,0.4193270476245036,0.46166191295881703,0.49621361105617245,0.5262930698656078,0.9311880971809149,1.4935901461645456,1.0117317568116126,0.5575677800078722,0.4643035442627848,0.47590779007981493,0.42405971943590304,0.47574955694145116,0.45057394376363613,0.4296102911068941,0.4119494449326789,0.4425591592322468,0.47012539278889515,0.5973927925377045,0.597142559746284,0.8687389741936691,0.9672834716737969,0.7853403368461125,0.5903894768400741,0.43983678671086074,0.4265640373444349,0.45869115173962827,0.45402861589897964,0.48852332957615163,0.47009576066609154,0.6438819042506261,0.4730198388047695,0.46697123213053104,0.5276307866413984,0.47060876747977515,0.465086942598882,0.5579791160837626,0.5884466023852565,0.7161117870212753,0.8670409071990772,1.0808103829327194,1.6904490060132014,1.0897119680437204,0.9574280042097704,1.1212673052814297,0.8379586302807598,0.7841909095315983,0.7424736002009279,0.97323716142721,0.7051949889381827,0.6550294582971625,0.6652383567656036,0.5815728604391073,0.6339347584875863,0.6141026238266597,0.5774529019329407,0.64409364354232,0.629559636477416,0.6372916261856685,0.6797463012481999,0.6751881914839666,0.7186327900127907,0.749533401146661,0.701708053596247,0.7881573196053007,0.9260684769045494,0.9266531873127849,0.9075929550691588,0.8454419494850183,1.0339741267508022,0.9003285338931356,0.8438625942516707,0.8388008903296803,0.9054497945965975,1.4532365629696091,1.0877758533072701,1.2929178583155454,0.8645190056386443,0.8054504490733932,0.8514169054285611,0.8358735730738943,1.0983399773980655,0.8016017353339795,0.7341939242089375,0.8901473274308095,0.9430334168890384,0.7720642758250303,0.8604881431094038,1.065865593860021,1.0827018106698376,1.0527297236449935,0.7684154438209624,0.6864677093757842,0.6334276997788327,0.676626049115049,0.7965982322251889,0.9444780639892468,0.9726751118104373,0.8885028150641189,0.7698473494419678,0.7724141513652271,0.8039662178949256,0.7305931481585559,0.8702239133418528,1.0302470264391272,0.8781845371677429,0.8436927028060751,0.996184956962522,1.1761538061306722,0.9121025664595006,0.9157441007177581,0.7873430174552292,0.7459772500665293,0.6693955537956273,0.6985586988804062,0.7749069856646684,0.6961703760669322,0.7265042870947662,0.7967219709310027,0.8175390168096057,0.8128232455982514,0.9372467285118792,1.2125375050706013,1.0358253862173041,1.0918117924685646,1.2074743057546002,1.2967108056887395,1.2823633844550648,1.2077053455890328,1.3350268153748535,1.2086380997119475,1.2035978279875177,0.9578784395061667,0.8203339389388542,0.7989620708444822,0.8956960651552859,0.9539672264555032,1.1579395554795309,1.1207130428681968,0.9572186827270072,0.6146279511449486,0.5996432659228024,0.5913670586807441,0.6391556335777357,0.6455071825850858,0.7651773310138856,1.1528385413488842,0.6612709440453924,0.7566122571117786,0.7264883889304952,0.5271259577600925,0.5310833563668679,0.8683854900854918,0.8938511044419547,1.2061425967519182,1.6807205833043244,1.836293496730265],[0.7415597890433012,0.5311072732781459,0.47763888179453323,0.39168083091904266,0.5590309517583837,0.4862570004211073,0.4194212057410817,0.45069456103485145,0.446507494934719,0.37021529377108076,0.37579208163366845,0.43563949969183713,0.3864640373513051,0.3736149256160948,0.41531955942246473,0.40620926080172204,0.4143227898201539,0.41772091791722527,0.44404271788305305,0.4389629673517713,0.49936636017533087,0.6832743526866217,0.7232493625700592,0.8046394117170099,0.697953718237546,0.6081796064196895,0.5083028285452957,0.43035238853702334,0.41072169579336454,0.4274206504180905,0.4303059380668013,0.4293097788329976,0.49580336550446835,0.4267315825701858,0.44407657883918716,0.4206903661930725,0.4346762106998578,0.47201538087658484,0.4514650555093794,0.49423531753784133,0.6956593251495627,0.6086178434114923,0.5826837604433914,0.6473359205498512,0.9181355617840639,1.1132388547259853,1.054248277311747,0.6703889512134419,1.6628912334884896,1.8104936846851774,1.0112682427351578,1.672950884729193,1.4150203181674605,1.3786274381916932,1.5778209817048772,0.9391473331557297,1.1391132743398178,0.7461676437952729,0.9795410078397274,1.17955567236189,0.9123288908275528,0.6532740770698406,0.5183232086255968,0.6792839502677965,0.63355526844734,0.5698658311973372,0.5911841978424541,0.4357509244687354,0.6078720067912498,0.5683048693937208,0.7553464376996569,0.9764719209313742,0.6856864365394972,0.719413589308449,0.5093835955430219,0.8735393632608165,0.43613859327251137,0.4039736843032927,0.42761002070342674,0.44500281153456234,0.4659588230545598,0.557845908176224,1.0974477957955338,0.4958868193699334,0.5441246877608861,0.49652572313113014,0.45679692324911847,0.5230925913663843,0.41168396374381844,0.4763138792292438,0.40346833283691247,0.5328306236230045,0.48135648419073196,0.42397884351712084,0.4244567325808493,0.4832837112952553,0.49776722735964857,0.47178890355098957,0.4784509730125664,0.6644066934756347,0.4850994917525709,0.6513748940610675,0.48289836840060857,0.5504677723376495,0.7500356495923729,0.6063943820668738,0.7329316160577702,0.5066019717271634,0.5082950532755274,0.7136513476866725,0.5058663511937415,0.4860570766564248,0.4274133426668388,0.4529997852272511,0.38861938976230936,0.4321905141203352,0.5202447452888388,0.4274585083549805,0.488453040091582,0.5127362598545746,0.4694867113698123,0.45203300717734535,0.39525800583113185,0.36263338464771067,0.3806436458919312,0.4814679314110278,0.4589097213531612,0.45756168763064314,0.44819979593627746,0.48212225696833333,0.4791352523931508,0.5189269943261112,0.48325312627116207,0.4934412035769993,0.4693859165992199,0.5240486369597043,0.5766465798050459,0.49786885396269365,0.4962463046140847,0.4698379488575478,0.6110183248021843,0.6159048901248242,0.5020052973452632,0.45710112371390155,0.4958165146623925,0.42159987942097615,0.4133998002048907,0.45096016911300635,0.44164081032028474,0.46880247790667673,0.5215231695536762,0.5103336863793626,0.8957231830456454,1.4903503089810217,1.024963875942079,0.5444026781392651,0.461016266278505,0.4858809250479955,0.44365044105306817,0.4943220926538536,0.46893147689741815,0.44966124921963396,0.45732367086074255,0.4645585590908014,0.5189875514056862,0.608012741781442,0.571542517789336,0.8169418589649857,0.9232183650079153,0.7869851772215561,0.5904524240021136,0.46669590916320075,0.4405447552509815,0.46586731676291293,0.46806581166534206,0.5204401835923522,0.5016628025361516,0.6681326658003669,0.4869711167892696,0.47405919181232525,0.5078381996382586,0.49746666578270304,0.4793151864040737,0.5133199020091956,0.5480503670126083,0.6568884272658135,0.8195792693975206,1.0499987411248395,1.6351273636249515,0.9926901437203753,1.0351966082579818,1.0578241222611975,0.7978604651821931,0.7238560074449071,0.6215327456609386,0.8156460212519259,0.6390357493213035,0.5806943082450962,0.5926277838026233,0.5340888262986198,0.5488813870117684,0.560040386599704,0.5355348023928994,0.573417185881059,0.5492292421966447,0.5806527312952201,0.6398905063032296,0.580694337557925,0.6427709499402133,0.670139186609044,0.6010367890800908,0.6827474820194281,0.8592896976215295,0.8179913049331348,0.7751946648683983,0.7441308809563548,0.8797616356537423,0.766715222465929,0.7149886485951114,0.7132877854696026,0.7670677695997584,1.4656572659433036,0.9865541787872545,1.2461730641844848,0.8128031566337784,0.7230075508667704,0.7406552889762031,0.7174143252717666,0.9563010006519507,0.69486091196627,0.6568093523915758,0.7675691898740735,0.8538257646517641,0.6750626745739089,0.7576833941404789,0.9311642038403868,0.9714414464371144,0.9418912790148528,0.6605230057483764,0.6140310027928704,0.5623019834611501,0.6167572183871164,0.7599829622990406,0.8912262835728686,0.947069282504854,0.8308128311369419,0.766795320903756,0.8168551513972726,0.8230418048486838,0.7248826361158074,0.8617256722569699,1.0207509721530286,0.8651311339840929,0.7966555623409425,0.9558074944046052,1.1194188764267996,0.8384341338228006,0.8296684363526262,0.6962033425533353,0.6619296862648348,0.6049952918442112,0.603493144315424,0.6558960839306454,0.5940167017342509,0.6115549722859068,0.6786078333587614,0.7127009298992621,0.7070239329558169,0.795700487473033,1.0676013902566677,0.933273889023097,0.9759349262020683,1.084273849857557,1.1766995618495588,1.1745656901676944,1.0944857113461202,1.2486641650252646,1.1097417728649601,1.1064554297753482,0.8664974628335061,0.7171501452276681,0.6281666477022156,0.8416459719803743,0.9097026618516778,1.1096923872930275,1.114040589362848,0.9113319734767382,0.5964755412748634,0.5454768136085433,0.5901462873101806,0.6014678671326797,0.6656558017503775,0.8183343557585339,1.289994786916301,0.7097066162547807,0.8517935990578219,0.8620649378074796,0.6133543661983185,0.6361898956917706,0.9665666200964015,0.8937212756129094,1.1300597209587366,1.3959808819529163,1.6289397178628284],[0.5194854633583156,0.5782027972999456,0.6599222436691007,0.4939468462389107,0.7527308728571952,0.6267034593056107,0.6574681065895224,0.652337206426466,0.6345250227522976,0.614301319481011,0.6063190820884019,0.6313907146197556,0.6312015058463188,0.61272483469409,0.6291738215622235,0.6540624525956092,0.6317295151504465,0.6398014279207414,0.6536324003364379,0.6529511456376834,0.6858361723031025,0.8914496246601737,0.8397965663581265,0.9477971621726109,0.8316927593062063,0.7528046044770855,0.7053293441734206,0.6731013824552426,0.6472266415031815,0.647932323596949,0.6596584311645183,0.6659785473005647,0.7119044057976266,0.6840625656473298,0.705371414942814,0.6783222210951385,0.6860787605372347,0.7266351031543032,0.6834855268603228,0.6785076685817009,0.8803255917219542,0.812305764138603,0.7790578680679872,0.829849423506596,1.0461904623003118,1.3634345495156697,1.2559287853719798,0.9074402644788621,1.8063772130849265,2.070255041201349,1.1772867953434087,1.7162462250007329,1.508788838656656,1.4605728262522306,1.7038716292858365,1.1459119903492287,1.272855897972473,0.9590307097042898,1.1658038508755295,1.2639642614570041,1.0207489143497686,0.8381588023484637,0.7015152110168744,0.8089549769264045,0.8325970712028685,0.7663950664058257,0.7365476741737027,0.6244254356627991,0.7214858752221948,0.6877307969448844,0.8456039324202352,1.0461107335743767,0.7560283819567641,0.7682899011640387,0.7201597367812892,0.9726785646782643,0.6915120138851145,0.6687963877443696,0.6984111003314862,0.7037731824164417,0.7105740681056156,0.7757907345259808,1.188216927411651,0.7354028214603164,0.7172878783745203,0.7341801680122982,0.6944283744387972,0.7453965013584016,0.6885426154171557,0.7390264569952948,0.6584525701948533,0.7292986928049482,0.6791878573141197,0.6425326999173538,0.6394984409476285,0.6485108018404836,0.6896238472866691,0.6838243000265549,0.6804086147735562,0.7643120766036755,0.7019633334141883,0.7493572914125969,0.67943781981504,0.7500197350082067,0.9607333559061142,0.7365682880028716,0.858228585480333,0.7131893429435053,0.6969564526277672,0.8441783247774766,0.7021774799463586,0.7031357931755194,0.673248249054765,0.6917238253745795,0.6627352832457664,0.6791767376362602,0.7500826233270054,0.6340808547790282,0.6897623068525841,0.7386032150602818,0.6780268270982135,0.6807313078471873,0.6651513830201718,0.642360710432656,0.638567783291361,0.7078490168020364,0.6868194703894538,0.664071921465479,0.6669237384250282,0.6883973214836095,0.6820777542197567,0.7221186750543672,0.6621702947585001,0.6938598375691616,0.6599086615184507,0.6528155481874548,0.6583253340875236,0.6302905425635682,0.6015207114727738,0.6122178683000932,0.6620650850621843,0.6598812763402521,0.6455659487733657,0.6243222824365977,0.7237871781592301,0.6591493571840288,0.657099058835086,0.6842376192836632,0.6876997439504717,0.6874024650499111,0.6941979534721738,0.6724843084942124,0.9957174090250381,1.4491107790227764,0.9610271933215052,0.6889993327739938,0.6650085625031119,0.6845303013909085,0.6598022082793055,0.7042834805306177,0.6901055988168336,0.6747107038357691,0.6344089812077719,0.6592293457046852,0.6980586959623175,0.7045855587231851,0.7044784013021187,0.9144283026772804,1.0010947381369841,0.8803773246602672,0.7046153159053951,0.6241155952842611,0.6464683975604953,0.6536387035642957,0.6883492932193512,0.7221388617175133,0.7010602441731819,0.8516258204993343,0.7040380068060879,0.6911466047149921,0.700013417661189,0.6852282516980447,0.6674964878325691,0.7316293948700192,0.7367301008455124,0.7879681133351778,0.9006429704205896,1.0678339442701663,1.6693213868438845,1.0816456431324954,1.043954821632556,1.0749842381479677,0.846430528032789,0.8084866319976577,0.76716723269345,0.9748076211575359,0.7704145886815068,0.7371285172843227,0.7256904488396388,0.6795801931545372,0.682131551457474,0.6818521703459924,0.6709064222034538,0.6788382082814773,0.6485355755508332,0.671326716530495,0.6769145857819553,0.6508791144742387,0.6769826251785082,0.7427787372786997,0.6522609647911728,0.6999584711073261,0.8550737799355866,0.8937114102819247,0.8141182709098309,0.7589569988481052,0.9066045039373573,0.7681064790443483,0.7194872066353222,0.7201525636749984,0.7879166642422759,1.366657769421646,0.9767554560989065,1.2688179912654682,0.8604164482085624,0.7923037220004586,0.8300137140130679,0.8172170384548895,1.063919234242363,0.7999504246621254,0.7330506381603237,0.8561673920181062,0.8972220327828297,0.7636068529525747,0.8632098351050934,0.9819923187636537,1.0224351460827283,1.0222298949141233,0.7645635925224873,0.7638408438620048,0.6813779736388015,0.7003634728524802,0.8047684859914842,0.9243994786318174,0.9549007463292909,0.8909064993135015,0.7884257376661304,0.7671487580411688,0.8233476866214083,0.7316329175953717,0.7996941103412375,0.933539551706721,0.8252261300599634,0.7742767397891206,0.8846768532741377,1.0694479055757597,0.8242212879306163,0.8057058850859136,0.7084824222997032,0.6793040545075083,0.6386647720788361,0.6674867022142853,0.7056884400365947,0.6618486082413437,0.7026191855128552,0.7522342853156673,0.7726839209136142,0.7882963973390732,0.8825774829154401,1.1163726285514441,0.9692665521442643,1.0347634866690356,1.110406836829507,1.1802761920009446,1.172280301638644,1.0913173990283036,1.2418696528720077,1.151660142443651,1.0479591866417108,0.8778971011333531,0.7349492568367565,0.658413867940337,0.8391325933093744,0.916385849864512,1.1177259502049903,1.1194453607790533,0.9538763020200116,0.7013543521011686,0.7011195043724902,0.7678148574704872,0.7574908659810019,0.7806532958488501,0.8108344462631192,1.1112199922807457,0.8100659916416034,0.7855809355970588,0.7354767099904741,0.6480405913443417,0.6786973089317537,0.9380923229409827,0.8429152310225348,1.2161385779622071,1.3426564240295846,1.7013152920082972],[0.5475413505476077,0.39616984882629785,0.4414320421543464,0.2427127362297067,0.48332736899697876,0.4256276389500038,0.41604284907828853,0.44083838617238585,0.4390060568966974,0.4154871836150243,0.4367360276768455,0.4772230595756162,0.43402818355131617,0.4478168038516611,0.4944607765366164,0.46747013715023805,0.4517094211295806,0.47341059360743354,0.4983623340045579,0.4772030813712589,0.4922410581981242,0.6956849057717495,0.6255239501541326,0.7394563693285314,0.6435239186783043,0.5738222637803878,0.49331316075651,0.44861424414548934,0.4448778988266491,0.4606909262131032,0.4698921203330118,0.4625738213208319,0.519130546241377,0.4752642267405995,0.4771909378450554,0.4648338861869811,0.4618889388117948,0.47748710181636067,0.45474353535482653,0.45928971244665007,0.7736077382905072,0.6113617946203749,0.5712795471274592,0.7212052109829026,0.9360196828658978,1.3660539866941728,1.2056092544695343,0.8402241914353324,1.9524377727982503,2.116616314643483,1.0703587836839128,1.6547263036021784,1.3253821185555155,1.2147307168923622,1.649292840509438,1.0373608845738183,1.1624140472417666,0.7176874775924538,1.0804160462538706,1.1015027647277844,0.8353649516250159,0.657751167473881,0.5137803766717611,0.62644112251693,0.6210769165952442,0.542074448160033,0.6148109366718312,0.49307369780966026,0.6356923251962442,0.6040500892650122,0.81171830219144,1.0146640539296103,0.7424325887605853,0.727299906955098,0.5636939244043271,0.7865906151991932,0.4961274127635776,0.46345596814924833,0.48781908306546834,0.4756161541581781,0.4899418211699164,0.5727257861208673,1.062693649200363,0.5164430890286692,0.5445973107998221,0.5206785828643089,0.4811979969999055,0.5245127975767712,0.470398624224783,0.5482253488029395,0.4467298013012785,0.532706194342514,0.5166238123807948,0.45603086642089335,0.46014383564016165,0.5051119231858118,0.5388971058031167,0.5070046084860597,0.5065887356966806,0.6465712158491487,0.5154947355079248,0.6660798349082963,0.48374023173347586,0.5429143848176173,0.6757949216596528,0.5279811512457134,0.7469196539205107,0.5291236328955243,0.5294387076294986,0.674752608565475,0.4640183891282912,0.4375815114461421,0.4166488295525315,0.42525606737998234,0.418982033363019,0.4470604863424731,0.5437571237776829,0.46016222065359424,0.5410351785188173,0.5755560282377666,0.5180376702601325,0.5245702385897554,0.4991036251657899,0.44358224747590763,0.4121673401768402,0.5052669104709127,0.42764944513275016,0.42978336407366485,0.4158079208936968,0.4281695989448962,0.4777260004796707,0.5434680113638309,0.4590408278922351,0.4827589321965006,0.44555197000825775,0.4730642601201135,0.5150706202924552,0.429995591297674,0.4306548196499398,0.38843433746934136,0.5016750665781714,0.5287829802200363,0.4359866257055514,0.4016243945931837,0.49061104353442514,0.44156909318151055,0.4267660424877281,0.4479822705932662,0.42189412419486083,0.44598048778141985,0.48533869794460693,0.500304148770562,0.9287067102543619,1.409458717796986,0.8647209806539013,0.5376832389718963,0.4703328228678293,0.47504402535829887,0.4473008795809424,0.4858434384096191,0.44021306170768576,0.4325474384528326,0.410026272465922,0.4323016757216509,0.48837831057161396,0.5866017367472449,0.5229548008238127,0.752309069743726,0.8796037000750977,0.7466924913544364,0.5382386320803262,0.4257575925094529,0.4168278491603402,0.43891333767149326,0.45328231150544684,0.4982762574960634,0.5046937081888022,0.7223490937205378,0.4804539046894174,0.4944319281838616,0.5089010588232069,0.449170767358697,0.44324123571802726,0.5226534019085773,0.5434841081416417,0.641768293187226,0.7758461124660369,0.9715805646606837,1.5438415427866579,0.9439189579241847,0.955739274731823,0.9454685061304998,0.6905265081675351,0.6374544267816721,0.5669498423974134,0.7960481143100971,0.737304005187662,0.6036576698495095,0.6402171203925008,0.5729724549328586,0.627347410266212,0.6287687640089712,0.579653568043128,0.681163398706091,0.6705373379276883,0.6740371816715008,0.8243056743545879,0.7230083413024863,0.7278631984165281,0.7477983616212034,0.703811975023645,0.7388700615056657,0.8682600154695153,0.8337947421572897,0.7748768375221171,0.8129158574456112,0.8835238425123261,0.8322758826218237,0.8355430539751024,0.8307708152815764,0.9141489110798553,1.738450417430482,1.0866947864747405,1.2168578768657254,0.827278634146914,0.7753093910964631,0.8386516764431519,0.7929531532921155,0.9704476698112053,0.7553690291457124,0.7133593738852453,0.7803985406912538,0.8794160439364311,0.7215439525807641,0.7816402702752785,0.9162902563885822,0.9762778633147071,0.9754168470298163,0.7309861538006027,0.6712126514637958,0.6284931907850446,0.709123099941241,0.8170061934641113,0.9732297998159337,0.9741756681813926,0.8755961527070714,0.8046361079675397,0.7988332602258575,0.8106309229514046,0.7648136289422958,0.8684312874861295,0.9983938632303533,0.8552965067432559,0.8182969794600159,0.9542107927259175,1.1251722260932215,0.8594955073596666,0.8640968923225472,0.7552460131747585,0.7498304313103191,0.7021599334410117,0.7092163778996676,0.748067002112977,0.723536672686591,0.7376491586261165,0.7690626389045623,0.7945254636623964,0.7988988309551933,0.8530304782787068,1.0309970827874688,0.973399499971867,0.9887033615763533,1.0826045328609137,1.1613521397781736,1.2012260080354367,1.1372428625422604,1.1639859414081948,1.0876480902528014,1.0991940781797296,0.9056913096618635,0.8460011020288554,0.7548644563139055,0.9741603926277276,1.0605270062955876,1.131874001101318,1.1576387729914466,1.0399074167170925,0.6505852369749446,0.5836576365960588,0.5520271251478427,0.5788078445676208,0.5666471675997121,0.6934703561697582,1.0759233792218883,0.5836128545000159,0.7018307204679782,0.6899454119354456,0.5238835393993323,0.5436745039682469,0.8880118028522228,0.830205540971554,1.2123202331445049,1.3897921483294922,1.5657073211067865],[0.8213278974792569,0.28145818220905117,0.3525554550772901,0.26621744987355483,0.33693921715349784,0.3886043876915525,0.399296076797598,0.41705537459340714,0.4481862955893387,0.4621159928005395,0.4838599598059602,0.5241458929186983,0.48023642239734593,0.5049637339407654,0.5816438273943734,0.5278625043952607,0.4936924177531718,0.5262219233524837,0.5323369310005522,0.5095736056564893,0.5032776955944913,0.6175817847911604,0.5455859282202593,0.6644217377089084,0.5702222485457118,0.5367399400437046,0.4632996073152051,0.451585140907162,0.48736790843049466,0.4958969245363797,0.5465385079157095,0.5142506614537892,0.5615492197250084,0.5224384458095388,0.5074218950090809,0.492545974024869,0.4835846275145829,0.4503421291862768,0.4227016249500164,0.3818641086088026,0.7145774280743723,0.5422167432272748,0.5049465371366649,0.7217305641232363,0.9065235175842816,1.4546235294634593,1.2660613076673117,0.9185169176992147,2.1308712228228948,2.2640554019842924,1.1335817649463718,1.7414661803434692,1.2911430958212686,1.1050430619296243,1.6326113526543515,1.0361714903312969,1.1384372836767944,0.6996639929084513,1.1637524970280502,1.0573512061134036,0.8069339664074034,0.6863741657835113,0.5491760545422096,0.6171265723458288,0.5806260457106855,0.5467163704438507,0.6463163651570734,0.5444724334330646,0.674688746360116,0.6722411774661852,0.8574795889067848,1.0574747953570458,0.8107353321634646,0.7652980409762619,0.5924030222055452,0.7822386215737296,0.5181675434498093,0.5167082994518296,0.5304309017374367,0.491623566314207,0.49385649766020223,0.5676384857718715,1.13850166884931,0.4807156027521383,0.4653627720575951,0.5024538059437891,0.480935785658892,0.5372953487324859,0.5047047811546881,0.5743030189631084,0.5076244958658247,0.6030290959288152,0.6058952200464883,0.5347914447452885,0.5354977694446005,0.5806919051431579,0.6033473128370042,0.556675826950394,0.5513118744609105,0.6743258151377535,0.5315933227818738,0.6819063000078202,0.4897853863804304,0.5232653221800232,0.5972264138168498,0.48437348480731934,0.7396393115937626,0.44625083196137744,0.45121347167061676,0.595628297811762,0.37125481048263503,0.3645715373583259,0.37636278435859755,0.39390479834276604,0.43818460859823977,0.45551053941450703,0.5669062523188133,0.4812895729477524,0.5401764087568902,0.6095755099745329,0.5554877639079395,0.5646929917793223,0.5497756096603904,0.48393565239190967,0.44731897992730824,0.49582496421859545,0.3518629149723284,0.3724419651399706,0.3337199772672184,0.353858920796501,0.3772793553289266,0.4554366666023228,0.3639442156377227,0.4139335509658245,0.40168548282485217,0.49724847219026436,0.5083914746469743,0.4421937098916931,0.515264167824413,0.4445252379455222,0.5502067961906214,0.5469517724094888,0.4561782740789902,0.42202484205234203,0.4471987267223766,0.4307236998632149,0.4106108390652187,0.4290821673626306,0.3884153953862536,0.41519369958932484,0.4568029570506154,0.5081245792608705,0.9575416041913256,1.3686047019789107,0.805724693783081,0.5553167627808521,0.48767780429880586,0.46135073706210733,0.45384873488025623,0.44798787724413214,0.38268768548301,0.3928666346638669,0.42038879062306,0.40461461351406425,0.5244707444618754,0.5929512560837873,0.4840344657196207,0.6995205533015534,0.8463458755915727,0.7262442874714815,0.5223698655835877,0.4311677164927962,0.4106021523894914,0.3985971808943955,0.37822637826090005,0.45365834630582497,0.4790365403759081,0.7622736640682406,0.4309333614700348,0.46282504921105533,0.44126635669485953,0.38242530513894624,0.38865406785557355,0.45001526689750043,0.4511976959395751,0.5464023242488965,0.6763080707443891,0.8983839036780115,1.4548520666841167,0.8258578645101945,1.0077728894183158,0.8307579921012475,0.6321008173965783,0.5798812005517433,0.4248714775291173,0.6188272170074998,0.7063044994111232,0.4853529358945987,0.5151584251373338,0.4566528791114831,0.5390020862217287,0.5642684837796047,0.49209535374870206,0.5998620751634753,0.6316958322679656,0.6429167831115118,0.8086790559433291,0.6842138072859758,0.7249847603048143,0.7186802575609348,0.7066054199791489,0.7348947791058484,0.8437616022038386,0.8099405503864601,0.7612576612015347,0.7949061355127902,0.8580543063288579,0.7939473471980895,0.8071396533336114,0.8150270167263718,0.8435533966823073,1.9225024377564495,1.0409360145243383,1.2668733367463347,0.84397182382224,0.7807192488516901,0.7849621819111787,0.7414128672764191,0.8775887733490879,0.6790188332402064,0.6706116231146986,0.6791397853938078,0.8080054278975035,0.634739188059609,0.7488771373514593,0.7890754431939432,0.8427954623708143,0.8512669970596448,0.6293800469549247,0.6102936391549287,0.573936995574854,0.6883388617673144,0.8204739283959008,0.9894197959164635,0.9762513623485605,0.8639946883399814,0.8079464763319634,0.8323437020794882,0.8232473276443305,0.7884980278392393,0.9036189956159119,1.0243295746217496,0.8722165296238288,0.8392264230806327,0.9683651768051691,1.1110402760769786,0.8558110944545152,0.8631444633439539,0.759193986295717,0.7650434812804732,0.7167338054983098,0.7022192192332473,0.7216042381927252,0.7005691388160636,0.6896316839850027,0.7166959701443434,0.754159356670965,0.7215064654800736,0.7591184169562117,0.9251446662724445,0.8927909116948896,0.8719890534473211,0.9861609129133342,1.0754881925445685,1.1347036287470964,1.0671503476599644,1.0401657818558736,1.0075968396098267,1.0345620007024687,0.8457349083541256,0.7999065755280308,0.7483352751315971,0.9239931970474182,0.9990972757002167,1.0141992246962785,1.0557131946613043,0.9464852257274956,0.5661356505002035,0.468894676685401,0.4294959851834254,0.46631373086351346,0.5452002359568209,0.7401164309608879,1.1194872033027514,0.5282926706164571,0.7340070953002884,0.6913554358704166,0.501755966790396,0.4958821609039987,0.8480053218267921,0.82199591036872,1.2345742440309753,1.3755749152892711,1.4702573128920389],[1.222843708102948,0.5046017381254531,0.3625545620503891,0.29114769685417013,0.3972332732400111,0.3577559875875165,0.3647335767360636,0.434594861132669,0.3805615998443798,0.34710818914606106,0.3839551413947871,0.4734453327790003,0.3829540672552189,0.35273705867333266,0.46139650824020373,0.4381032310453803,0.4011734019595788,0.41682211698253946,0.4314289772206019,0.42260434497953503,0.42299284248808344,0.638038946048629,0.5544705643489587,0.6709502124658588,0.5664174212859954,0.5152996790252392,0.4245585105177994,0.3735675615831793,0.3865254259199295,0.422358193387947,0.46621636525061144,0.4850510509781693,0.5626975680313998,0.5050220675839583,0.47770170473976015,0.4351565912970299,0.45472009589135093,0.4153233879557407,0.3644862551130505,0.3876521280499244,0.71272997908595,0.5643549518501673,0.5130189029722717,0.710986445328838,0.8805508486649726,1.2870941308082415,1.074776894232124,0.8044894742283247,2.05115673187845,2.08883666820581,1.0907245754097739,1.6941119785840713,1.2981623459041909,1.1181623464477684,1.6794628500762974,1.0807713376966475,1.1848703951137605,0.6660972305332189,1.1104052766540653,1.0597705679535097,0.7654037954441658,0.6051349350006399,0.48857436788356184,0.630251463483806,0.5396985693541031,0.5080863443518776,0.6029283535470974,0.45854970631874603,0.5632064981701443,0.5275638855633051,0.7809754960526966,1.0437953388630314,0.6714005277259975,0.671827104091442,0.5191330865463419,0.8736643738674486,0.4465432463655177,0.4577135351412428,0.4548514853594385,0.44714798402757683,0.4843246334816786,0.5512022171607154,1.161603342086925,0.5002473772365555,0.48751181069687904,0.4934214362043197,0.4577400979664839,0.5124010040302581,0.41794212461720315,0.5303975690495606,0.4585310568640751,0.5432321006652583,0.5113116539168447,0.4804566926179224,0.48048030898629673,0.5326951047442071,0.5621960843637888,0.5360235498453986,0.5336197306103437,0.7114221701378098,0.5309663638419041,0.7094785196843328,0.5080762042653726,0.5596636449045281,0.635699827613984,0.5413022299491748,0.7617484095840235,0.46202150175532436,0.46799439052015895,0.6272902987784285,0.4012359880286219,0.37319300763473384,0.35782896383604734,0.371037935751919,0.34726388988796925,0.3578792258050155,0.4333297185284323,0.38208989340697735,0.41379219038213255,0.48097188687649556,0.4224138560260328,0.4062440875700616,0.3872637190360817,0.34724694754632807,0.34703092970344673,0.4739464636205999,0.3561223426540124,0.37450229080101327,0.3342520191569204,0.3636617454249315,0.4041149905107991,0.4678945260013361,0.3766094419687637,0.45576764171038453,0.40219099767681776,0.4470246325892649,0.4988864599454901,0.4274968662619285,0.45642885733511734,0.3582212009213229,0.5198593868251687,0.5051865930816187,0.4063701099814671,0.3561752375127708,0.450444958232167,0.37555780093127183,0.33769561802850745,0.3734971726047701,0.3755946257861756,0.4199672402895486,0.4801557614368121,0.5188975980913676,0.9603299118540144,1.4792947444052102,0.9380770166584463,0.5994907254529109,0.4942754787670129,0.4750361033072778,0.43829082276054293,0.46374408789008853,0.40420795732028747,0.3858332877938927,0.344208849600041,0.38080085698402305,0.4317512201991581,0.5573219998668344,0.44124409348696,0.6506096745858473,0.8048160589800583,0.6762662594728825,0.4858733024566638,0.37870934022102365,0.37846732304484587,0.40738849921824505,0.40969541639647583,0.4762815966855524,0.4806948808697644,0.7701304017345219,0.4515167593898488,0.46747250865347273,0.4623614813009171,0.41196538652620907,0.4056440993287472,0.4624938187901751,0.47513814926296455,0.5978886440940441,0.7451490510716484,0.9619380593091408,1.5068503845742984,0.8610718069438463,1.0096703702672427,0.9065056618693295,0.6470564981396643,0.590236455991573,0.4503263208564764,0.6505403470060425,0.717579434729029,0.48807779922488764,0.511107843381612,0.45203534872289125,0.483368034058603,0.5271844978151659,0.46518222007285676,0.5470188059537728,0.5655089373639007,0.5823843335989415,0.7476286698638871,0.6113391037443832,0.6989386105108715,0.6559526022109199,0.6483420002727112,0.7342804961001672,0.8627036352998412,0.7827122840588746,0.8000656846846415,0.784942350905399,0.900833204171399,0.7919998591159523,0.7652843520537266,0.7747306948074932,0.8088019626324088,1.8918977792439768,0.9896860188171126,1.2690933251354357,0.8194369567270168,0.7618284868825829,0.746186265840107,0.6961909077939294,0.8369015519340418,0.6247942101816418,0.6354493645434399,0.632050082567916,0.7571730290991427,0.5972525076293996,0.7294781501976568,0.7778811641501201,0.8457188507587339,0.8733555045769257,0.6027175716945165,0.5895608054741982,0.5523378300011959,0.6749036988433561,0.8400432475103033,1.0307798888979898,1.0124986644366925,0.8812312246505769,0.8265253438426325,0.9135315040460199,0.8709396565277074,0.8112516300331782,0.9824460203105728,1.13185323323311,0.9186004781848685,0.8857045622680598,1.050975366520282,1.1535552619288978,0.8863983254644346,0.8961758523598234,0.7735455313692692,0.7508303072499241,0.7047835545399077,0.682995262083925,0.6782439372366921,0.640900799474562,0.6258558365192993,0.6593392472931333,0.6992869031586858,0.6690900534356613,0.703869380638406,0.9157076627222547,0.8776646685182137,0.8614464731109022,0.9639904930249729,1.067295721723268,1.1503931087294557,1.1002205746282514,1.1203122803666796,1.046910892514651,1.1220552689502274,0.9146421226704446,0.7927541537132644,0.7508919393340378,0.9979722679388837,1.0326151664874657,1.081151072813376,1.095132573282872,0.9232399132497768,0.5853521375443056,0.48829131614829424,0.48277044947307873,0.4599813493288279,0.5946363173176001,0.8847563799450455,1.3381316147739393,0.5581202353116838,0.8826873864040788,0.865907199631334,0.525310066436884,0.5900105547068218,1.0304290202426338,0.9817798537142559,1.1536401205784363,1.59274312460907,1.518127086659698],[1.2995074320558946,0.5410726878210765,0.4731161602250618,0.37231882345338235,0.43881400063773146,0.47290681510854443,0.5201072491452869,0.5607277378239838,0.5144006581661476,0.5143964839609174,0.5191700191447948,0.6308113055016441,0.5412827928516445,0.5176703735962133,0.6128037489911846,0.5916693961093589,0.5454832728565013,0.5548669389475688,0.5648404985737567,0.5598233334494969,0.5502630203647185,0.7352058691956157,0.6383741983383392,0.7261324923888536,0.6531631283955818,0.6151416709871433,0.5420920044740586,0.5165187095056143,0.5288229040853352,0.5763618827702759,0.620301239640826,0.6516186155055067,0.7106747276701665,0.6794454689269919,0.6402038079434802,0.5920049658959765,0.6061426474840487,0.5461046087733794,0.5013842085042012,0.5248610903147899,0.8371224920299319,0.6831659067534328,0.6378361540039597,0.9121141460964809,1.0440329796349268,1.5667369845311216,1.3162417218689568,1.052702653995945,2.298099591482994,2.344716199312518,1.3074633758506309,1.790768777239431,1.4226837519957134,1.2066159496545519,1.8450018634026364,1.3157642837784562,1.3255943957763494,0.7367369853216601,1.26090732096413,1.1218420981010468,0.8420883589228354,0.7521967038433046,0.638569572839479,0.7455702448937549,0.6705405876514873,0.6544213588730703,0.7129389243882752,0.6119952077260623,0.6687984952088136,0.6425296553720363,0.8649634736284546,1.1388604322771152,0.7717537796085517,0.7570998033055849,0.6612578607327761,0.9953479710664579,0.613573900612694,0.6328014018091729,0.6121293272763644,0.6033740382603674,0.6356852162952118,0.7157657407483692,1.2226093954496957,0.6821902087394397,0.5906591903995669,0.6482508123121081,0.6141336653685594,0.6388997933460971,0.5873774925860532,0.6911715238097913,0.6448635137334926,0.6979556326761763,0.6735983323956042,0.6550048662961281,0.6406186346636619,0.6952503743798895,0.7168803779003879,0.7042220289765779,0.7003207928998264,0.8359030077292533,0.6979597740770317,0.8326980794120998,0.6614022296515932,0.6659375231637645,0.6852084907125346,0.578536407569951,0.8609117108788675,0.5363861328313176,0.5439984629882813,0.6889586916905956,0.47258383723352115,0.4996606291370795,0.49956335853131956,0.5032501879097437,0.5025251639330058,0.49368222895791697,0.5382518728348833,0.507943130717448,0.5173139735632819,0.5763431860637274,0.5350059824230076,0.5297240359659171,0.5125502059518292,0.504591159707396,0.5127591731236357,0.6046529094064323,0.5061012624099716,0.5141337541396077,0.4631961719332055,0.47349769861871027,0.4918105488309536,0.5639410143860096,0.4806612155076871,0.5449839570621252,0.5136368300388856,0.5315696726768498,0.5779495406780925,0.5391844370193173,0.564591634886155,0.4798336456281497,0.5727203425248137,0.5711089410941755,0.5079702702311097,0.48517328513919655,0.5946190968627549,0.5383993476854625,0.49903546918006,0.5430335705760317,0.5220793534657542,0.5340711916078736,0.60201369550591,0.6601036194037048,1.063018038671231,1.3226883642827612,0.8919735250110168,0.739480515270569,0.6564644970948658,0.5994996254236231,0.5972388860691291,0.5900798239719235,0.5383894336301575,0.5383833429817899,0.47902790138589885,0.5257743707736492,0.5542742457665724,0.6348858118475925,0.5425956899037082,0.7087987463880354,0.8692418234250641,0.7366647122031162,0.5684260208308415,0.5026031281198446,0.5049979563120727,0.5330807277486758,0.5580652664703338,0.5993512031425393,0.6193086318816128,0.9015426362169644,0.6055126797394176,0.6188091772128825,0.5677510415479453,0.5171672180779651,0.5196614648180377,0.5550298375228974,0.5814029549554321,0.7049463464361144,0.8182813174590594,1.006819198868731,1.493823855446305,0.9086548250257032,1.0880434794519782,0.8728476274182566,0.6647309911660477,0.6299507265390076,0.5257010303999191,0.6548032863437077,0.8370129769898755,0.5932989512934943,0.6034174018616502,0.5524688116797429,0.6105752322219218,0.633303629402503,0.5659409347805798,0.6655585206597813,0.7108798961629632,0.6831493652161709,0.8604116800846483,0.7733048895375232,0.8260226544717447,0.7685004403937632,0.8498882275645475,0.9156153108655639,0.9636535064204222,0.9654274662388994,1.0093567752674675,1.007735132825077,1.047732663961666,0.9799682559281587,0.9247413676321,0.9409852184581657,0.9517548399620628,2.156179184062417,1.0983202418916465,1.3753177700310852,0.9506195041713618,0.9162411569972513,0.8780811338865857,0.8337033023108242,0.9595384394691404,0.7628651350880835,0.7796896961491838,0.7684406909384862,0.8935759956242807,0.7318796207703906,0.8670930061755785,0.8570632371721424,0.9044671570664121,0.8938905542611553,0.7089238207191026,0.703185064383363,0.6749866529127536,0.7879893531632013,0.9191461713800287,1.1443900940170733,1.0533576143912413,0.9448300417572971,0.9082076745039155,0.9919213938946367,0.9137244136208263,0.9030356719584025,1.0893054771908746,1.2124859049652161,0.9985241393367162,1.0023148441487484,1.156767788061222,1.2132007977930346,1.0033151182039481,1.032221106190195,0.9379437321555782,0.9122872567189878,0.8559554161331125,0.8361316754721734,0.8430699789333674,0.8091587419699147,0.7945502328322013,0.825013342060832,0.8608748272897353,0.804896950296622,0.8306467255986714,1.0075638257697754,0.9895674660916438,0.9215382783210465,1.0038317067749416,1.099719728067665,1.207034798943355,1.2017453620604337,1.1681986100892923,1.1233553355775978,1.307803003520033,1.065143449127777,0.9608143827169427,0.9760756638805534,1.1328142707254252,1.1214079387183582,1.0991566197615055,1.0944213165407801,0.9848170704393333,0.6479434875816893,0.5799768793147233,0.5598876791777049,0.4836718873191866,0.597877099652374,0.9141870548341856,1.1429860881416078,0.4829194732029158,0.7807366028383055,0.6629833189037125,0.6388339666935238,0.6017277180070424,0.8381082562359433,0.9123826937816223,1.5339811078199233,2.1740039307639845,2.0393976359725823],[1.2008559312082712,0.5369090743727876,0.5267118381002023,0.3831920107973136,0.4984250480072308,0.43287445228154364,0.4601024197503037,0.597071485706639,0.5007074406296501,0.45679220678714494,0.5047254362092412,0.677004687479081,0.5176704178229509,0.46198921293844636,0.6080112541098648,0.5899033796612823,0.5444247362786109,0.5574728786758736,0.5372567108032008,0.547675191198023,0.5235532643051671,0.6657311908424584,0.5749158358517328,0.6793570443619389,0.5648373848726207,0.5542387512367596,0.4832982025902215,0.4702037468180008,0.541916813596547,0.588340244279547,0.6543524653906455,0.711949208058045,0.8106995064015975,0.7781017133564906,0.7277181818582389,0.6172758354235599,0.6558823531466825,0.5303829390446586,0.4943027889574075,0.5282661479890842,0.7766635982572766,0.6021531291468724,0.586263465145793,0.8462286891751122,0.9151926582537105,1.4498661191851012,1.2067398135130518,0.9972068214452454,2.337706411672833,2.337156694578497,1.316225154250057,1.9327573150982003,1.3959029870524935,1.1697066724704266,1.7291032052435518,1.2501513657755428,1.318287552339138,0.7861309571432477,1.2753789103695052,1.0877643215312627,0.832020469010543,0.7764209204080356,0.6812739365260291,0.7505348447486677,0.6328296796214777,0.6533191856468157,0.7635122786679754,0.6242377353047522,0.6846477960116337,0.6656693518339065,0.884386505472714,1.2068227379283978,0.8202188677779795,0.7771581635167725,0.676676607558942,1.0170507493630536,0.6540241762400496,0.7249905037494774,0.6885319752542235,0.6551663368445674,0.716689743805906,0.7273005576551409,1.332586983004493,0.7407614155691075,0.6183289072118414,0.6455606707173988,0.6083156352201174,0.7285767406666515,0.6370077088776622,0.8161946911455784,0.708133838206843,0.7699556475258398,0.7562072660358586,0.7462713323437327,0.7034175979107138,0.7814726102839169,0.7850669925947912,0.7809212623857956,0.7822279906376445,0.9668093992858113,0.7819229136635376,0.9399724583277734,0.7781338043508901,0.8052578353882077,0.8026371566295832,0.7069564530463386,0.9912979017405084,0.7255988092213453,0.7297392685434305,0.7703076801056029,0.6253212531540293,0.582497805962636,0.5076308278782881,0.4826271159561123,0.4596600762712338,0.40602013021726197,0.4838758729192707,0.4203924191179074,0.45308817367505194,0.5529331738633341,0.46181687602015803,0.440770352964775,0.4262247735770402,0.3970316696541356,0.42258155238176537,0.5355809291853398,0.5037286495338476,0.5569465131579436,0.564286775043064,0.6046475340959481,0.5884004357220669,0.6746276244974705,0.5929294968875589,0.6881290578879118,0.603151074070835,0.6056938262355576,0.6276003719139064,0.5211915245667248,0.5415535282894435,0.45602600529502285,0.5415387485395334,0.49726197932041255,0.44631024407410647,0.4436611510269996,0.514922141023032,0.5034207499424012,0.4514297980432701,0.5228829934682517,0.5466561089692042,0.5360476098517504,0.6742961232783987,0.7021113020975909,1.192102684811484,1.370158585560178,0.9788382671917403,0.8467435942978608,0.7351573760208792,0.6958355640327676,0.6539034427163265,0.6764246900683711,0.57113850406994,0.5436853985144346,0.4960467106451683,0.5285811116188872,0.6237799050115489,0.622505931366733,0.5937790644145009,0.7342969052432566,0.899628015179299,0.7421997232798185,0.616260934051694,0.5084125916148139,0.5865271996240115,0.6137221224740488,0.5959341173941335,0.6425684059417384,0.6678263409444153,0.9491398883279164,0.6503696561553624,0.711063472402743,0.643022330441691,0.6246042910939635,0.6618663734244699,0.658588268775412,0.6201202210811936,0.7018585133854717,0.7552324285307197,0.9137565972743507,1.4320910600790884,0.913098194550488,1.090906574338372,0.9173934152759502,0.7673295824906947,0.735665547406414,0.6361618475542814,0.7142424425205086,0.8848575011780605,0.6942238390490202,0.705162797482381,0.6803966695772711,0.7650537566985103,0.8049757899189726,0.7049850047551267,0.7810230755573259,0.8701105171759117,0.8372497215402863,0.9124606733748262,0.8911200905993292,0.9937188251719186,0.8944281274207898,0.9617335015951642,1.0742754716956542,1.0895515347388853,1.0754703893864384,1.1780856583030035,1.1583466165985916,1.1772888592070905,1.145545961015253,1.0630828045202774,1.1011737815247635,1.161788109542075,2.29815332064213,1.2181291989048892,1.4084219427900329,1.0430387757642061,1.0466355167927073,1.0777586291470584,1.0305250043396363,1.0965736969173607,0.9202230789032732,0.9486923304113555,0.9079468161463861,0.9859716927431543,0.8665266403638231,1.0101279161709624,0.9741354725400808,0.9964502144476602,0.9682152023027308,0.8142473283938282,0.8204614734935903,0.8332324369120073,0.9449490075814744,1.0591721078975607,1.3495292075577385,1.2015968695385146,1.0773543191034838,1.0809155956844378,1.2108491892720648,1.0790618929489117,1.0643195349783412,1.2664854714429958,1.367004587451922,1.1459310257749922,1.187619526406104,1.344634799786145,1.3414976039916948,1.1715412183916034,1.2283635991775887,1.1277000532713166,1.1049509469168408,1.057104761547847,1.030962676153526,1.0370440183126954,0.9813266578236444,0.9762451376066585,0.9865002093623358,0.9967018220317704,0.9137538832973441,0.9478871976748867,1.0748613390604485,1.0772402522485798,1.0261075251595513,1.1114121378711057,1.2151182681215003,1.2985972868238518,1.2941817996621443,1.2616950786074375,1.221170195174519,1.4503627059174444,1.153413989315166,1.0443055799476795,1.022958329057006,1.1716667323981707,1.143506597172822,1.1462081203702064,1.0901363083213795,0.9941118909327626,0.6813940972040075,0.6610944902232446,0.6370872834974746,0.6191507431719185,0.7769304704245912,1.09866610493257,1.2572541448531191,0.6596723022929378,0.9488441393513428,0.9806199109125244,0.7735519592330832,0.6821308603876644,0.9809578809936484,1.2444636743388144,1.8103926832651005,3.0710281806143254,3.7321186207128374],[1.302110143162451,0.49389141301660777,0.4708492946584725,0.29456187949535634,0.4432194024825914,0.4081399093843585,0.41634922243088063,0.5681661132061001,0.48750926909780307,0.45430597879186735,0.503116041103065,0.6357674596799858,0.4928851679516878,0.45213848911815124,0.5971601015238595,0.5688550426119483,0.5390437251434761,0.5671754520097012,0.5529973447874009,0.5620532709310434,0.5445621203348219,0.6634579214376437,0.5901856869277475,0.7177916728185842,0.5579669948704605,0.5648600635901082,0.4767258682708491,0.472556609319512,0.5373036268016658,0.5598880289560182,0.6344851337373509,0.6745226506455165,0.7473580092645565,0.7240748219433623,0.6834759504485546,0.5894113248561781,0.5898131699887065,0.5006253529319435,0.4732271816472228,0.5214947782963445,0.7443026711227612,0.5945148924433438,0.5953866015118161,0.8112167802996402,0.8783778753511345,1.3012328741841486,1.0641270061256847,0.9216897074257439,2.263304051338195,2.1734486641364086,1.277107239856009,1.8642059688843235,1.364477466998494,1.1407534047353676,1.6996002041986327,1.1767810873361957,1.2739518421823959,0.7348134964563942,1.1928900980807589,1.059127894096526,0.8224324621791157,0.7561942992342254,0.6712735720157632,0.7650009321827728,0.6199796075297426,0.6313052151654802,0.7859443712011226,0.6412462410703416,0.7206210703799265,0.6575665191098187,0.9326127453675823,1.244849240089798,0.8171743662034674,0.7969973232802524,0.6643180641959194,1.0223309789344954,0.603353587931572,0.6937043137404935,0.6460054821574363,0.6273020389665253,0.6560283914333456,0.6640134444459597,1.2849188759785837,0.6580000352433791,0.6024083321022883,0.600552665282155,0.5552554435354295,0.66800297086534,0.5995044679229212,0.7660520639999251,0.6576947078084067,0.7239209755400634,0.7272963449589247,0.7017484689107742,0.6700838795886022,0.7482280243762206,0.7478906064459125,0.7391322191420205,0.7460358853899492,0.9416534161396704,0.7318566466749556,0.8614284038469495,0.7204357137423862,0.7071520567777254,0.7325148050607179,0.6556933037470821,0.920022546344926,0.6043580591293986,0.6039367858215897,0.690409210641088,0.5167557015970894,0.498568438248818,0.46563084197992016,0.4712206644112307,0.45296784458773726,0.3991760349006347,0.5074482215394682,0.4266671472951716,0.47216171009242514,0.6019630969776432,0.4695528125362462,0.4497132973080111,0.4188710308159192,0.3957114959554142,0.4171470556463668,0.49644269194768953,0.4485495860376052,0.47577850512775954,0.46858906725909405,0.5154267994542854,0.4884754995154459,0.5854057954132662,0.48971250886213563,0.6276026260018281,0.5188120698364476,0.5373303299055519,0.564525460981442,0.48130734572792583,0.5258851372228079,0.45290050372998375,0.5757388279472933,0.5172640714629096,0.44894624832160973,0.43656286388607346,0.4688739990189624,0.47166357758330807,0.4212165495710248,0.46081149873384447,0.5021413527254769,0.5000459465334726,0.6000059689865235,0.6367540179318265,1.0992132460946837,1.4643012349782034,1.036774286897235,0.7736311720936033,0.6887477582391094,0.6271862639296221,0.5961845831047485,0.6343232154410753,0.5326531750002402,0.5065088770122299,0.4709394390958209,0.49638331967585647,0.5677900105052924,0.588939851727176,0.5242670979603692,0.6435331811945495,0.7990205220532921,0.6859309737542022,0.5596373631631151,0.46385242392698844,0.5320296991060343,0.5593137726796235,0.5419013619264145,0.5867292887550192,0.5942049022141586,0.8842290567280559,0.5863230948569542,0.6761389593626415,0.5996706976239112,0.5642081640819206,0.5746061016354872,0.5639493036522214,0.5300485395377793,0.6443485797053189,0.7599212833351411,0.9286666220231196,1.437424822766586,0.8636459720953622,1.1321077184172927,0.9351816882845073,0.6841543398321008,0.6177281814636068,0.5067107647469861,0.6382080649243307,0.8253582388633482,0.5767377511164892,0.5948728814632839,0.5776208808787074,0.6403051382755895,0.6818219446737577,0.6034963533317417,0.6845552845680803,0.757255032903549,0.7330600768465978,0.8601198880681108,0.7970295755741911,0.8950045531881612,0.8198440246190611,0.8737434526683693,0.9807164894328577,1.0137911337002241,0.9828745209767005,1.0658480603089089,1.0246019096571406,1.0961342902648812,0.9916674784457209,0.9522282219455206,1.0010964263390125,1.0270486158008993,2.304514827047504,1.1488694577176435,1.3232426749898292,0.9925281652216479,0.982703867953394,0.9311761281258872,0.8833086528189209,0.9731063834842626,0.7926815143746487,0.8157017358571664,0.7748932721469652,0.881464853495925,0.7307086151210884,0.892163826722943,0.8299350194757404,0.8867048856889926,0.8745512998202561,0.7017750600277728,0.7233175912263182,0.7304891262576749,0.8591887686132443,0.9879331480325942,1.2380678670044494,1.1434711169534442,1.0058841443091773,0.9921541022270609,1.1337296794613434,1.0000047182553482,0.9829122770234727,1.1646925649079598,1.2613980495980024,1.050663796536473,1.073251489051547,1.2299934117498235,1.2323267221637917,1.0704799706178936,1.1142124593684253,1.0157223842403524,0.9947943539060478,0.933811561776933,0.910551550371224,0.9129621609016065,0.8627285533378937,0.8445399586380432,0.8685398668977676,0.8904401391990225,0.8106638878856257,0.8451925123747528,0.9891345563021848,0.9674226753953055,0.9107020225714015,0.9958482327552591,1.1006528998664962,1.1776356064550575,1.1513627093900667,1.1282077781515263,1.0750099183164314,1.287920708863393,1.007392449434258,0.9093476842172468,0.90174678503236,1.049206723711639,1.0400730460995764,1.0537001078509662,1.052851187372556,0.9423039368219673,0.6499711619602759,0.578090179668037,0.5737480725819907,0.5344474398693725,0.6669631067840956,1.0162637305404718,1.396113835708457,0.5757285544576102,0.952641086673728,0.9681946600559658,0.755293781555414,0.7240041313484868,1.1401410203184057,1.2875352108058435,1.5494413609910191,2.6927477147292724,3.160571968190232],[1.3420655942454796,0.5261604023512153,0.42854488441832966,0.2680363640139618,0.3987161663743772,0.3512713888412709,0.3301040202455816,0.4354896329166394,0.3520388905637053,0.3196482560425153,0.3677077245093629,0.48229587701786747,0.38167674736667967,0.3307158917165243,0.47142434243744963,0.4194338311083367,0.40523572072887376,0.4368843184606485,0.4519579855348336,0.4436861441430248,0.4287189784961005,0.6180918497927093,0.5244739278349411,0.668471047332785,0.5257123265131887,0.5062383675977586,0.3995578871479055,0.3800579048036851,0.40659136238800114,0.41873482905802356,0.4746114956954971,0.5003030148357435,0.5816673473550337,0.5308339478340609,0.4930914827101482,0.4425265199682333,0.4507103837797671,0.3883569981921759,0.35194564635622505,0.38126144735963896,0.6806636488261554,0.526920844108593,0.4831890347232447,0.6991441562077012,0.8212660466087147,1.2063165041372181,0.9821102559532938,0.7759059487056905,2.125401990830725,2.0576937863241214,1.145554791016694,1.7473506509769519,1.2639437622907954,1.0646237405334058,1.6870986499994673,1.0769129839960425,1.1606938821233714,0.6347632200706175,1.1310878876477013,1.0019937354916038,0.7410132841847555,0.5994209464560134,0.5042797512040771,0.6905634606232518,0.5184390091038731,0.5000051798210736,0.6749140638842517,0.5263096872396894,0.6269653316151884,0.5734144807757092,0.844549207334529,1.1550225188836631,0.7262329029756331,0.723103154849527,0.5330780777367669,0.9425610604898672,0.45813249572695225,0.4939674656090328,0.4744925045852464,0.4771074226662616,0.512194977490435,0.5644867136510091,1.2428202447241206,0.5356021097831529,0.5030570290288248,0.4962964075013592,0.43673910736790533,0.5193569678766455,0.437551448978779,0.5632303405363241,0.49288651047001253,0.5744220754395993,0.5502092749940761,0.5161304648115743,0.4988310159218686,0.5666652890698297,0.5756223380265465,0.5561562849015618,0.5610305637465481,0.7653289412289035,0.5626799729675751,0.738331537336591,0.541531677815152,0.5924764248995121,0.6198397226377339,0.5697822465925242,0.8312915557394048,0.49848196447581244,0.5138135624348253,0.6218178240181859,0.4259847826363407,0.3883044159705313,0.3513848129332593,0.38749618684392856,0.3422540390312422,0.33816899660452954,0.4419854424753891,0.3560578501155072,0.41673503877041185,0.5151609450008331,0.40862740369640715,0.38253313141622003,0.3581116115494472,0.33532397197720787,0.34932474586180046,0.44911106945877965,0.37125885981077833,0.3980858218070487,0.3624473544605056,0.4109896965262232,0.40171004382708386,0.4831201654057075,0.38783666874384365,0.5087762610486694,0.4179812011318941,0.4662918071848237,0.5060289112569943,0.4052321190661872,0.4511138916781978,0.35993763828801423,0.5282188490733165,0.47903981663382966,0.3918834799393891,0.3441401786020196,0.4093997210703223,0.3625490149844309,0.3191223536634586,0.3635558487593934,0.37548426908759347,0.3991933298991625,0.48256316658379367,0.512370064357334,1.0277751488029683,1.4944971177962685,0.9971841031841104,0.6251982139197513,0.5086228486775198,0.49269503332572684,0.44035039787574226,0.49517846859952747,0.41083689297256076,0.3774793839343615,0.36420935764721457,0.38148940171656337,0.47274275056893206,0.522338339513285,0.4394719724821092,0.5973978320603167,0.7663473417673262,0.6473946478594194,0.4835507424089089,0.3784652909728652,0.4096118623613834,0.42458524986255086,0.4148629477187122,0.4818910427514171,0.48753397120149583,0.8000341797242846,0.46291530436488515,0.5305939864459742,0.4756905261073028,0.4365556998986856,0.43808430400453396,0.4439405288940596,0.4489994423298098,0.5651269028662491,0.6977576900765864,0.905216880115501,1.4496350072457056,0.8186918494053027,1.085438113467925,0.925358521926797,0.671847845397407,0.5981022931088945,0.437118954256988,0.6007948822635675,0.7394248971219463,0.48498334451372094,0.5150491557552468,0.48753196808816013,0.540128765644926,0.5878886643042777,0.5151722982439498,0.5903442401800378,0.6508810642065498,0.6458487554179342,0.7812540221943914,0.6897148061302049,0.7862569208696536,0.7232424331724951,0.7490336467565368,0.8516537805576949,0.928714438593225,0.866758208155159,0.9232371618512433,0.8888715808644241,0.9904908221976871,0.8650286636426425,0.8344587208452239,0.8776908430690481,0.9073314554003994,2.131249170513718,1.0701601865171533,1.2910020829813187,0.8984159420653294,0.861022217241211,0.8261484980866658,0.775297300275991,0.8695101240998381,0.6770786210484946,0.7181916242138611,0.6737333821209336,0.7887794219689388,0.6348511182017825,0.7850311143898622,0.7608344216933234,0.8303446967158845,0.8195422624029235,0.6127980929347271,0.6216291706927385,0.6328392724572393,0.776995920327124,0.9183317165296144,1.1250128689480468,1.0743085884634052,0.9412827247056234,0.8965802523904556,1.025540696498196,0.9129029157223625,0.8840108708837144,1.063553498811461,1.1802564731065073,0.9689218593733033,0.9702238452578198,1.1358465927941452,1.1746402973835204,0.9709085558141528,1.000452218377889,0.8898352906541885,0.8644002771581254,0.8070755949055913,0.7836741619102945,0.7893595691707381,0.7431712943929101,0.7287611340936654,0.7484055921443185,0.7753373426522371,0.7158388788975473,0.7484795621183453,0.9214207548490511,0.8899319234112344,0.8490368605990589,0.9314123860398997,1.0471834862682237,1.1241717379603378,1.0815878665851086,1.0729375185555405,1.0175951008697746,1.1672902530216889,0.9151747983454804,0.8089625094559451,0.7895610232621537,0.9681488676944355,0.9793594918025696,1.0166714039574878,1.0371038380957887,0.8862670123999625,0.5935667912119114,0.5035397469585691,0.5206395607522558,0.47749720686342256,0.6089114397232268,0.9484132643939641,1.39844826132642,0.5386790681744201,0.9357169961497395,0.9688233152893712,0.6449439725149467,0.6968180753467847,1.1702999310735414,1.1958892907822936,1.1710554046172839,2.041184142880268,2.191491594427541],[1.493834201495578,0.7314544808876973,0.5417075707488056,0.3917159476891602,0.4858617700654967,0.41756977617996455,0.3551744701630866,0.4632475610001264,0.36473971076709316,0.30065272553901223,0.34460857301163184,0.4614526763414842,0.35284859010694797,0.3052751841278098,0.44513387229834805,0.3981344053130369,0.39814398255463507,0.426285522716721,0.44521573182397656,0.41894594930474083,0.4220445396873808,0.5991004096777881,0.5384735322299954,0.6872068517239788,0.5173795768887537,0.4958330337959775,0.405557191906482,0.36552435849734694,0.3747023562269618,0.39921822137958357,0.4596384581388545,0.4755904387535367,0.5840195602070674,0.5195979840521787,0.47812842393151483,0.42281802448822753,0.42826304963191414,0.3675222021704341,0.3370701961019816,0.34868674018296625,0.6364119539465233,0.4896184831827587,0.43902355455509684,0.6098895739364507,0.7396907525018268,1.0402331139352308,0.8495497036470568,0.6801392897784352,2.0556814152171587,1.9550677853179392,1.0926656870523137,1.7999206418114249,1.2688925856602153,1.0688881200696752,1.6213844017749222,1.0193190593901746,1.1722529475162387,0.6326761988724923,1.075371396105854,0.9907454438010238,0.7470522724004588,0.600673049530267,0.5151409945878583,0.7462297908767552,0.5104469993933951,0.5088526731856576,0.6773192744394148,0.5221605401495526,0.6439487055251897,0.5790237782121492,0.8734149400756084,1.215186198789003,0.7632080205685955,0.7821733951696588,0.5325975282936495,0.9922373476462326,0.4598957966165663,0.4827112430876725,0.4563903048540052,0.46278282464623127,0.4853624726810418,0.5196624072671578,1.2733160146937104,0.5437889322407035,0.47524968542192036,0.45112945815331085,0.4070187705451617,0.5236278279507807,0.42148527445846234,0.5396080985805188,0.48101683589970723,0.5764158756409236,0.5467252063027945,0.5153917593269803,0.4947195408205032,0.5694921663275915,0.5854244651430286,0.5444630452323084,0.5394404053439674,0.7605178453682633,0.5507239167628137,0.7537416313913672,0.5328354452860502,0.6188444762045588,0.6407035342751263,0.6184739857688241,0.8570709083489987,0.585020494676358,0.6025051492193771,0.6455455470954855,0.5277785077317512,0.4408383329573764,0.37640269096713735,0.40453740306340086,0.347512361576433,0.35037656831438985,0.415012911565058,0.35998788199936016,0.4393101875858255,0.5310177505543118,0.41714433916815435,0.3664591148928606,0.36273982763187135,0.3206976390294122,0.33208303924639,0.41655567779141406,0.4127179295645242,0.4422477860938673,0.4419674923794331,0.5009385546403561,0.48770566233282364,0.5481699839110984,0.4843187272147606,0.5812485925433999,0.5081036853774616,0.5523219887156543,0.5809695672429247,0.4304066549401992,0.4648103082933459,0.38828426352492346,0.5487850592861659,0.5070799749814605,0.4084995219561704,0.3534808749445065,0.40739175406084865,0.35993612379192547,0.3212832680099437,0.36776606507913917,0.3914666510352995,0.4100378013703564,0.5251448375157675,0.5489069223124459,1.1188711222065613,1.5456420586772242,1.0450959512607798,0.6493604033871541,0.5062207867732728,0.5070535244340063,0.44004254928401126,0.5104565134974253,0.4335400209332629,0.3921728186793561,0.39493687727479776,0.3668324219554156,0.5241114530443902,0.520592837749711,0.5090977639270345,0.6522230968434876,0.8380575867117478,0.7121712732199988,0.5509717097161024,0.4276316606613543,0.458634470450316,0.45050833658111455,0.4155552470628714,0.4851692729356731,0.48667540664987746,0.7937008063697306,0.46527662643387696,0.5097680265851036,0.49082124856388554,0.48769096978872445,0.4959383462245292,0.4814948685346292,0.45748480154981763,0.4982825774665478,0.6308125865878248,0.8575224522435345,1.4348825476232157,0.8085881996490046,1.0654976223056998,0.9950633151077165,0.7829566647582863,0.7004870471076331,0.5233329620015827,0.6498676462744105,0.7419950301064147,0.5454165549756452,0.5668673881174235,0.5497808044873094,0.610462837513281,0.6560179010127531,0.5818014585637743,0.6525932256335106,0.6995541137053816,0.6927358560341442,0.777016735150864,0.741685092129397,0.8353415506233011,0.7780902468058861,0.8146471791439374,0.9240436623457436,0.9834999184686689,0.9338777195893186,1.0051312032493058,0.964994404241311,1.063420241528748,0.9564400529586013,0.899817796348504,0.9452565966423396,0.9890903161908761,2.039508795429045,1.1043864157055003,1.4140957946091977,0.8840423137309612,0.8766111406575485,0.9167132523690342,0.8418540369796247,0.9645407878503619,0.7450383218497235,0.7757356961950913,0.7156240670154205,0.8109385581609768,0.673893685575876,0.805612153136465,0.8154975084822951,0.8863762408970699,0.8563067382941696,0.6623352550146788,0.6521498496886289,0.6630106601321024,0.8323395244565385,0.9463102355888814,1.146486855635198,1.0931612845829142,0.9717418046480971,0.9243322895586938,1.0650098791747464,0.9380798985234013,0.9192036711188556,1.0916585120210338,1.2072028572212121,1.0039812013598104,1.005329634901416,1.1622315336123916,1.1916492133952479,1.0192538782210419,1.0566580010578994,0.9544161610391562,0.9118587406707314,0.8483426089321758,0.8281751957244897,0.8764669509664436,0.8133623783931723,0.7915504476758951,0.8243827610616584,0.8616058724399577,0.793565539471454,0.8340081199705405,1.0741878264186608,0.9727894884964161,0.9069304626538408,0.9889355546569913,1.0981008468077353,1.1889173423202015,1.1593691936230128,1.1652682542716484,1.0966695782618947,1.2939938314038324,0.9844537364176887,0.8757605411138646,0.8484761460355928,0.9968404231217564,0.9977081685097625,1.0501506443534137,1.0404408946740358,0.8834765007271842,0.6147196240355394,0.5560005017065525,0.6074563370045117,0.5906025340815194,0.7527850682776855,1.0843376063998396,1.4502982353660518,0.6915595304843969,1.0652414774138994,1.1437219837629036,0.7634921784977468,0.7766004284840774,1.282129996080281,1.3501510292586603,1.1567488418409912,2.148225180742236,2.67994864056677],[1.28523080721468,0.49857293332882574,0.4165101916976316,0.3274385270229073,0.4057500007619786,0.35136307677202167,0.271363904167191,0.383292081221572,0.3451128364165577,0.2998418165165569,0.3481740514194793,0.43058945143045085,0.3471654934775565,0.3229948872058146,0.4437298916383981,0.38736926047490516,0.408921663418267,0.44309073656914205,0.47873467094890026,0.43579959535764967,0.44950035479852996,0.5971994374831778,0.5778536236837273,0.7153932869184293,0.5315298103885951,0.5229259979820545,0.4247500333831629,0.3796433189624648,0.3799440996086436,0.38093330124941704,0.46634283794760556,0.44452944430787295,0.5644351207098769,0.5040783015282221,0.4581143087239397,0.4166485229707909,0.38710685739063544,0.3755785211125201,0.34966597215311895,0.35400960088036226,0.6198053326706487,0.5121424860438165,0.48233434330275865,0.572891910100317,0.8119500131265476,0.9402878582935985,0.8100753091054906,0.5970458672589689,1.902402572742728,1.7283236443392358,1.0096528351939194,1.699401505009548,1.2514627735721784,1.0860856416578522,1.612175681690248,0.9539468970888767,1.1696471661992298,0.6550395007378844,1.0295499738697182,1.008637413938504,0.8066601612828692,0.6109201981066669,0.5129827121471828,0.7641530481288755,0.5366807496574342,0.5245424464455911,0.7044286326046252,0.5359922571164116,0.6903412510403265,0.6057992639704691,0.878418405156576,1.2067641560817475,0.7753800768395208,0.8162707321043847,0.548157760079853,1.0023020923339954,0.47614614904743224,0.48169415886376127,0.4497185648991351,0.4567680910171917,0.44693209032173975,0.485960420168113,1.223793373281397,0.4943769104032675,0.4748436213728836,0.41568645517224917,0.3871713924371193,0.4918129986725809,0.4185511716843636,0.5316459591940761,0.48350689434498695,0.5965222723881161,0.5617348410615404,0.5231197560161064,0.5018642698628945,0.5743341297382208,0.5965643696756323,0.5269347320339924,0.5067352374703138,0.7428912035857517,0.5052028802549119,0.6804041689182639,0.46563388853440923,0.5366165981199221,0.5408589742345455,0.5471830937349443,0.7434416089603266,0.4304829710955639,0.4474914633487557,0.609667013586324,0.38182237144062464,0.3338981676205677,0.30445909917335584,0.37109255344285075,0.35218630137256346,0.3581767406700177,0.4045809107360022,0.4039332705569297,0.4867615531128231,0.5508847876773779,0.4626046776037047,0.40452485852476183,0.41441852806562973,0.3433463508681818,0.349837221674384,0.387398805735417,0.308927779185455,0.352179723369344,0.31872929165681685,0.3844009605742905,0.36251510601067743,0.41179180726652137,0.35788209828633544,0.48819911776579344,0.3852518654323118,0.4567466632813225,0.5109403949638796,0.392938869166838,0.4574913068744079,0.39173210262117486,0.6105700902777513,0.5656545429834745,0.4601909124933055,0.37706893669751523,0.3895845180181618,0.3666715015498378,0.32509525246254345,0.35871525889822065,0.3528975580907862,0.38244546684531766,0.4367820300325616,0.5033095022660615,1.0238176348063233,1.6332070176873377,1.1506341434817295,0.6094465024833953,0.44191015949485085,0.43706725148102393,0.39498025916127577,0.4534977671853868,0.3891802960839228,0.3761338385071267,0.3719463417784493,0.34725468526854303,0.4670212662653703,0.4899615375984873,0.4361992333657551,0.5975363123570311,0.7442651488894126,0.6581742393627771,0.47952618827376475,0.3645178389560734,0.38154043069514976,0.3913734698601027,0.3693395501147246,0.41832048596372134,0.43826305259404874,0.7131797948917341,0.40962798263253974,0.43344170605486837,0.42708838788326847,0.40818178762426266,0.40831774724039305,0.40343967069500514,0.41422957533022364,0.5434401450502473,0.6718231226468819,0.9316074440214724,1.429110981585577,0.8151521609965666,1.1163100872523906,1.0310960632642485,0.7197665721265587,0.6165061349114435,0.43888217817051295,0.592324295557729,0.6864965093488263,0.4369623321590227,0.4663656505853884,0.434986511863661,0.4688350887611254,0.5318069193577535,0.4573090985624066,0.5317292388795326,0.586571905953913,0.5991255217609756,0.7314533570137728,0.6309857949651714,0.7395988097610733,0.686638027390282,0.6985382463941948,0.809928242285467,0.902787171425409,0.8386934389421751,0.8961245295898361,0.8416303086665776,0.9742726884906547,0.8111170715140757,0.7830188219969076,0.8315699026515373,0.858194254269446,2.0435461641558645,1.037203672996283,1.260899993258603,0.8488852149120113,0.7940101978349001,0.7611210387179723,0.7090183005625108,0.7958383383657377,0.6118957690984366,0.6517067087072189,0.6224526828896808,0.7430934428350908,0.5679745921943848,0.7200006286026619,0.7269327511382874,0.7833671596578914,0.80595277720353,0.5522796792831193,0.5669164783633145,0.5854053448998503,0.7342515684196304,0.9028308885092163,1.0817679550842603,1.0690329669760958,0.925070597362387,0.8643417977381161,1.0421629224214364,0.9029841765725598,0.8480203142738657,1.0309112054959833,1.1524497160130902,0.9321392221164259,0.9349358282367131,1.1146248264376977,1.1527353047611515,0.9467789597902441,0.9770475794957315,0.850477970944012,0.8186426406243864,0.7547353744631892,0.7275121258094787,0.7309509328036811,0.6818236585138754,0.6569246260571476,0.6838442393745154,0.7159376407898038,0.6564677855321075,0.6925402259939413,0.8938445973736787,0.8469897870002976,0.815485809949066,0.9305244614788892,1.0535456696641388,1.1029311418903265,1.0371325497745216,1.0862586290347156,1.0165391544378823,1.097916954370092,0.8538506266256841,0.7441391656674082,0.7028153353995871,0.8957372598554737,0.9232123847777325,1.0083852895815482,1.0435350029062451,0.8492411844675715,0.5727090605719559,0.4552188444492804,0.49099475435434237,0.4498900256301862,0.5704311894573852,0.9334721791492221,1.5324240666287061,0.5660827368914392,0.9777719732722983,1.1396160562557673,0.7605230908143303,0.7330996994392334,1.253426736612115,1.277334230594254,0.8846108088604537,1.715847447622207,2.1309239912494298],[1.2337606921350714,0.5139412496449193,0.43048526451240743,0.34689815926110773,0.40485207429426007,0.33849603062635436,0.24598106406660095,0.33716024232673136,0.3101649129975637,0.2525697947490273,0.2963967899703831,0.383335290765306,0.2921939897821506,0.2763652409835372,0.39230331794120926,0.33290152308750925,0.3514098215175597,0.3927585784931994,0.42660584738357354,0.39422529168763243,0.4093608318512629,0.5793187862176349,0.5530219951560372,0.6865095886477072,0.5210149967891948,0.5038005738939605,0.38947766532917166,0.3398772488523524,0.333257508393216,0.3314270573884607,0.40769920023606004,0.38913436677332636,0.488786305251839,0.4307815540134035,0.38604606230674937,0.35964804789416244,0.3363146608910981,0.326846388653918,0.30928596643179473,0.32137606842192235,0.6229798108998746,0.4920363003841317,0.4571882481159584,0.5761625713527495,0.8023226973368212,0.9902904303876965,0.8379374987311495,0.6026329627071181,1.9068163437860237,1.7702525854724112,0.9805290781063553,1.6641531349600889,1.237575751944616,1.0797743496945342,1.5857834214784672,0.9263259493007163,1.1429145866829407,0.6137747615630471,1.0041615924221747,1.0192178319978047,0.7829039328176733,0.5678701592396784,0.4503167783091235,0.6868776889514585,0.4957587509144373,0.4730112348513389,0.6366695277148545,0.4721685187619593,0.6211900035867134,0.5547709237178363,0.8266787509491825,1.1299140035601616,0.7224566409962114,0.7477824502267925,0.5013406091664431,0.9350226364631244,0.407123507467854,0.40744842833149025,0.38382055168179985,0.3977422186596774,0.3942220575054567,0.4544552974288766,1.181318298925594,0.4246903870914632,0.4598625931009131,0.3904357393479422,0.3456692717973829,0.4377895778414132,0.3511580768990396,0.47918357720530924,0.4135617484835583,0.5333247431062121,0.49928375988251067,0.4366545123676546,0.4256812857525635,0.4968027888854192,0.5143307962292691,0.4593724817911142,0.45129221442445705,0.7022853848971471,0.44587358224598694,0.6280795238403787,0.41426165800950093,0.4923337935637325,0.5266066811174596,0.5186814644198796,0.7127777172297747,0.40664651253246886,0.42688694434874186,0.590210301834391,0.35361899343778785,0.30665249513989107,0.2671111395098624,0.35051578040677234,0.3067719509052835,0.31841474341386394,0.3879404573470157,0.3547553329771078,0.41970666731900946,0.5003215503526286,0.398016105118354,0.36042261636803613,0.3604528796417482,0.3052109536060532,0.3267698447915858,0.386580603849091,0.2916441955819638,0.33828939146594666,0.30320481431829094,0.358653106825031,0.35778493065578465,0.3979852502085203,0.34089958946193394,0.45887372202969673,0.3722505228339755,0.4460263120918397,0.5082209399233442,0.3938173441728544,0.4544579375720181,0.3691157113638428,0.5766582277942836,0.524364825054697,0.40746768155684526,0.3362453334631176,0.35897731220852525,0.3148529699927689,0.27489052811872833,0.30407154198440656,0.305788462023253,0.34150642156249017,0.3934320056215873,0.46707339562711697,0.9832442671057611,1.6168127840624025,1.1402834748736623,0.5620031488445851,0.39244855432734566,0.3844158395168213,0.3416525338123095,0.4135116670546075,0.35274596222399557,0.3258091491740544,0.3260758929053722,0.3132665182988199,0.43226308441643,0.48830815701028135,0.42285521906121576,0.5972660475417293,0.7457862351058177,0.6545977323373262,0.473787826626162,0.3490476619605376,0.3560362841358009,0.3553290688899719,0.33059608539517243,0.3874285639523065,0.39944602545125235,0.6869663424837996,0.3676017418014572,0.40858156033918414,0.39828012687957326,0.3708458604376382,0.37700518733662836,0.3837769545882223,0.39221726119929023,0.5326418686768671,0.6760394734296258,0.9208974446934478,1.4443852140541504,0.8178320939406201,1.0943964966888828,1.0210963704599554,0.716912378387968,0.6171916549017487,0.4364553076324218,0.6013992084629717,0.6832498128391951,0.43700701762256494,0.46598335287171794,0.4269189381629318,0.45329006928291043,0.5093927216247885,0.44074886485993375,0.5157426311235728,0.5603843053717766,0.5819582786823747,0.7128646652566899,0.6017364696696071,0.7072467155610278,0.6629511557788023,0.650328614299252,0.7480160139645641,0.8653193235802877,0.7928095184720485,0.8169003398300768,0.7795673583318423,0.9200558116152673,0.7508420413303458,0.7312364446611218,0.7746758771772022,0.8022311551828724,1.9880626903569925,1.0046453575367162,1.2542240622940737,0.8274845994693149,0.757223053114734,0.7295267972140919,0.6803507404557183,0.7713420593636277,0.5921736048444475,0.6347981367608425,0.6158032584307715,0.7332991945214766,0.5605222597801012,0.7098848749163662,0.7234842641120539,0.7706862817268538,0.8077747893288553,0.542841352964357,0.5554208412253334,0.5723058506602612,0.7113270667947702,0.8787706206169825,1.0338645180395933,1.0370413962877147,0.8950192503093422,0.8336125264661165,0.9930848684149562,0.8615036819098814,0.8110076655358995,0.9759188403190212,1.1006102114524152,0.8936301306451345,0.8828026535949589,1.0525470752193513,1.1110319144229863,0.8955142192862069,0.9133601831440288,0.7941130075003047,0.7666943512595402,0.7107647006092651,0.6860477092567663,0.6856026984063314,0.6428220539524448,0.6230628588050645,0.6466737204773794,0.6768182383350243,0.6316169309488624,0.6672370245382235,0.8676525010312244,0.8214418641419572,0.7944892728679873,0.920911526635164,1.0326387070241958,1.080849194506546,0.9989235104383166,1.0707341209368566,0.9978556288782168,1.0338908413535257,0.8063173409735492,0.7041203182721533,0.6575827154296113,0.8614858355426276,0.8989329122396967,0.9865897489725939,1.0398215982208008,0.8374364443015644,0.5727182070264489,0.4523756326112457,0.48502082834098253,0.4405845890714734,0.5560517883070625,0.9043544314793471,1.5232055996036722,0.5751093421975517,0.9754323574119553,1.1502459621915573,0.7547989810104331,0.7521933753787463,1.2508679768236761,1.191933267002787,0.8507745847420713,1.4553859940164005,1.7671607657338901],[1.2274806137560057,0.5987838862124805,0.4260056212075321,0.3391972666672472,0.38420907427543033,0.36446972500568914,0.2559747311512751,0.30985122341607557,0.3401952200845777,0.28753767533872,0.3027535166975502,0.3544029396220929,0.28650097902286353,0.3040550009031879,0.3784093634448133,0.332834838849635,0.3617050981330049,0.4186276652547052,0.4833298747894108,0.42585514488508014,0.46946390428050383,0.6003012811539796,0.641459006935124,0.769141480601727,0.5765835168837052,0.5563595473249003,0.44031585464844186,0.3645792326441402,0.34961707686287014,0.336040835991027,0.4079888201950689,0.3714662246768542,0.46523831824466566,0.4192432469361568,0.37309829641889447,0.37067290661211016,0.3315089677143386,0.36024782855557425,0.368154833488499,0.3735944713385839,0.6178205966056212,0.535217042742226,0.5243729152059486,0.5534743722552733,0.9170862475241726,0.9383859971168548,0.9088447330662414,0.5831225789208411,1.7145360149068405,1.5556565404502214,0.9296671679233751,1.6262579250420557,1.2808863703865845,1.187805667524195,1.547646117963262,0.862818332602598,1.1480883136627555,0.6688733428243655,0.9631527577825351,1.0941916029098167,0.8798817680358737,0.5902850742064876,0.4769283962498024,0.731692663110563,0.5419098722065351,0.5116351011237048,0.6527590024370757,0.4930515143275746,0.6775088662268812,0.5927430231923515,0.8283863676422736,1.1026962534782472,0.7505531650774949,0.7982939654982156,0.5175505084663617,0.98008097259184,0.41765812484660003,0.4084577329656259,0.37658071873623084,0.41981620829186916,0.38621587491431886,0.4308105179402799,1.1195416602398527,0.40006441295495615,0.485271276831544,0.3684098402861261,0.3585702578753541,0.45564820894596075,0.35375244125799177,0.46799952697156466,0.41198501570912266,0.5554229789506824,0.5190112807259806,0.4303605438685399,0.4182718841120162,0.49559108495295445,0.5000586866732241,0.43105120205435055,0.4062757978564853,0.6543161945127469,0.3942375758784497,0.5614476465763832,0.37923748732421914,0.43262220858143746,0.4887852123723716,0.47107541029703964,0.6176799750168608,0.37933085098301217,0.3964531341188971,0.5990130143354379,0.3209422205759047,0.3130439551214113,0.28165442357217174,0.349913270559703,0.30762590453057753,0.3526023820845687,0.39541400057159243,0.4135562872873953,0.47484339383257984,0.5159493188194221,0.4395191471057969,0.39148233097650087,0.4164069376618755,0.3403959886341593,0.31824136663037983,0.3416864832763719,0.29314984283896023,0.3226578805066688,0.28733832358714945,0.38182797864343737,0.34757747656866783,0.35622564662006917,0.35799739799357905,0.44012932964137125,0.3979360180964092,0.4849045783443421,0.5260607056681967,0.4115594482969107,0.47530718175474446,0.4298990874890068,0.6503959130829228,0.6110353725937852,0.47585721444139456,0.3981961832491423,0.3764913549457769,0.35739806982882594,0.31518714086674454,0.3275793031948109,0.3028133683091618,0.3558326754895016,0.37111889325570724,0.45796330040621713,0.9147168038686521,1.650096708144081,1.20318980329271,0.5005795529739876,0.3375941694510961,0.32988058012511995,0.3263204382442549,0.3874878427960624,0.3460105023683235,0.3570227860875988,0.3689328257136156,0.3534127392374145,0.46137991733545314,0.5060724301456124,0.4819244330382845,0.6341175782667782,0.755130589469611,0.6835835963662891,0.5085972412537534,0.40090434899317984,0.37333846683299565,0.3584500227005404,0.32705256961688967,0.37666024532604436,0.39371198669883933,0.6280424597803278,0.3488431554721987,0.37988031742479955,0.3783921407055492,0.3637508547613142,0.3720215016609436,0.37700435848960273,0.4142769928363528,0.567178295027543,0.7184100926151574,1.013648704232762,1.4631812116475977,0.8575115427324624,1.1684402626245773,1.1050724306079796,0.790548590675159,0.6735772929463149,0.45850545132086595,0.5964712462158208,0.6189268193034707,0.3984405025983611,0.41258615149336597,0.37944693348060277,0.3827730635454108,0.46164728587770315,0.3912995005863197,0.44027723126434765,0.4797577084428946,0.519623043568226,0.6302365376533293,0.5227626107316818,0.6289439830904936,0.5952586837618247,0.563004827346967,0.6609245861981904,0.8052906338309207,0.7367164534221726,0.7329440273033591,0.68401756378929,0.8667822430404963,0.6529296539742752,0.6223800583756816,0.6768982761197083,0.6945416507328427,1.8316469920936334,0.9356354558396736,1.2467564717947996,0.7976412735803873,0.7060289877656605,0.6781262532994808,0.6161676833865748,0.7012832193838643,0.5162075954878124,0.554590793183943,0.5501615224751364,0.6526086854226945,0.47708674834343795,0.652696387317581,0.6912036020501551,0.7272792320302036,0.7806320445742305,0.4451491752067129,0.49694920729188574,0.5176474334940047,0.6473662721979057,0.8527160247272472,0.9740694195559874,1.0206903525103277,0.8597387144710071,0.8182590506465722,0.9970936108326605,0.8548982309024403,0.7763416865017609,0.9309788750422806,1.056367706267178,0.8539973438379129,0.8298958751608179,0.9922683214641406,1.0604350560728502,0.8302988669271135,0.8397757296651899,0.713347602593098,0.6893540624128299,0.637995614514985,0.6102769002195279,0.604199289782414,0.5497925655696366,0.5279821317239267,0.558705830038772,0.5973585832431081,0.5474833844996408,0.5988816373852448,0.8334546362545459,0.7372954165585974,0.7151098582942998,0.8754715164609164,1.006313407593096,1.011573157489534,0.8916493157112539,1.0599651804733372,1.019691872210507,0.9178111736214474,0.7205671010773627,0.6068628485720646,0.5490986857536221,0.7456476265570633,0.7811185569830257,0.9075228906525575,0.9902042385185897,0.7172627117284539,0.5136438054965357,0.3875262681808643,0.42934541761781886,0.4509686206571637,0.5556399692597129,0.8987401732736969,1.602929391975005,0.6438327157305498,1.0190300550664564,1.2503713882854661,0.8319514639537067,0.848321059899635,1.292316864752876,1.192116748529261,0.8554487289397755,1.337824738724666,1.9574461835770898],[1.0736124647805625,0.5451374657775148,0.35221958287236826,0.284062745015829,0.31927472863112183,0.31980054903968785,0.21727581562419587,0.2461247247328984,0.32247527314959656,0.26215382440075535,0.29306329964995825,0.36294781750825744,0.27319360183185853,0.30487192440706434,0.36730397701875783,0.329863284416262,0.3598331217411972,0.4024476236208516,0.4747152985422545,0.4289365044999926,0.4705927611263162,0.6082788234028136,0.6651492526385918,0.7836538474948435,0.6086553763643121,0.5653246283298506,0.46600582986743777,0.35031648975467505,0.3388566662161051,0.31434417341711435,0.3824218997548825,0.3682011515151619,0.43260239166350273,0.3954711353573717,0.3387432043369876,0.35242002203006234,0.3103174174693032,0.36124238034917505,0.36663151665544874,0.38898142657348267,0.6098260081618645,0.5637756557964827,0.5349985191254008,0.5622660553347465,1.013895599371192,1.0224149762691548,1.0514223571980863,0.61482693237936,1.5921216910882876,1.5084764728836846,0.8942026138576228,1.5859467502563227,1.2805382895203166,1.2848414069411702,1.4980139915395232,0.7841439726922799,1.096122666922106,0.690300973619881,0.952594672802918,1.1629802209706852,0.9215249753166016,0.5958449126992253,0.4637719224916377,0.7212314361124201,0.5715092541277,0.5293843658889698,0.6110469466839891,0.46106854367102007,0.6537361761528723,0.5854882568470278,0.7886919943705205,1.0648437078885762,0.7312815179807706,0.7982825831157861,0.5206285109497149,0.9626367641520377,0.4270426168539176,0.3819339603024142,0.3733859523765732,0.4050615211778699,0.38481683439745445,0.44381244220568605,1.0563833061215928,0.3608269415878619,0.5189904358559608,0.38561696023736597,0.35396191143484235,0.4601290495754155,0.353191571637479,0.4567154392334301,0.39618852903709617,0.5342994633426408,0.5089855815824937,0.42104178977148154,0.40873070508605047,0.4683561695143143,0.48059944118701775,0.4246167849747407,0.40458711966672956,0.6405264884142616,0.3822644813990554,0.5343340515454681,0.3408013563407618,0.38639448978949115,0.45592746236565523,0.41802409504042565,0.5407101446012602,0.3091494387449714,0.30795281736289637,0.5532848418414096,0.24632505029278398,0.25068495077832437,0.21500655844963937,0.27524686351641836,0.2793950637146419,0.3088896099041907,0.37947019605314347,0.38166386542371383,0.4730617769535401,0.49910802799036896,0.44920359050850533,0.40211547674679127,0.38716533548134946,0.2763312291870472,0.24685442719509873,0.2881648958737453,0.23980718555589964,0.26264001004048554,0.22952672583147427,0.3366018969608336,0.30135959517742655,0.3088403954366358,0.3239804634217429,0.3536178319084551,0.3651097788486311,0.47135133289896647,0.5100223900228282,0.3603270395079237,0.4156369915157289,0.39720708505008234,0.6421837611219551,0.6258859479102802,0.47442269215948074,0.37129704838065875,0.36908319773924253,0.33862490945808393,0.2950955380475903,0.3050695706188513,0.23466342581332755,0.3083767268923251,0.33828792239334904,0.48110799073034327,0.8761022832750691,1.6245533695043712,1.2277131621065227,0.49381327069581704,0.323619464741613,0.2993879201991488,0.28952248736196134,0.3194898202678889,0.2945232921863566,0.31479738863457424,0.34172521592708355,0.3456130287060419,0.41823107735886383,0.5074530970575872,0.4715136380713341,0.6633938239825589,0.7700420154610261,0.6858807614339484,0.4924523322264577,0.37597780118238466,0.33380963117638024,0.3095044404885106,0.2605841522814269,0.3263171770712046,0.3675915248666683,0.5722461915967538,0.32488811377689203,0.3273007058095979,0.34525154812951514,0.2860872986632095,0.310071528145135,0.35016160769501414,0.39252076631795363,0.5611152534740735,0.7323215070504222,1.0415527380808327,1.5193211370461408,0.9239212490642807,1.1039555532727838,1.19779065429756,0.8432378814471857,0.7069697521990057,0.5123597568132049,0.6937040316058777,0.576089363199067,0.37308335155513345,0.3792110397381346,0.3418304434903967,0.337653024047375,0.4131626388464734,0.3499611484331438,0.3852643727168441,0.4234479772712452,0.4964447558127212,0.5462604526594214,0.45013957562770424,0.5893599880902782,0.5742104424495036,0.5026473012013524,0.6113972459453639,0.7889701728250967,0.7176183969361032,0.6951125927071684,0.6269350010153533,0.8405640691880556,0.5958466803644193,0.558159463254305,0.6066270085023477,0.6314585299434278,1.6959005148135198,0.9145286651996718,1.1849153843696252,0.7735716632063244,0.6483056659403463,0.6132165653564959,0.5654151085538037,0.672155907613167,0.47428752969139715,0.5074958023073182,0.5457533990822491,0.628386288383248,0.4433811348771891,0.6339678278324629,0.7043438626321904,0.7471392913119338,0.7722714341122774,0.4087548587141683,0.4610845424738699,0.45779679958400554,0.5659575173598974,0.7864267584786295,0.8892256591853623,0.9500467084696391,0.7935990634223743,0.7749503302034622,0.9214998963786116,0.8093992907825667,0.725926979890759,0.8828786702272653,1.0233617273503672,0.82497034314022,0.7893394629046891,0.9528379940873957,1.055389289255239,0.79779319467004,0.7928814571204437,0.6605890038234914,0.6231283925430656,0.5780450451713856,0.5562183971659708,0.5410787407932207,0.48530120070317806,0.46545379762381256,0.5031817762656124,0.5435754906065748,0.5084255472731567,0.5739941726253431,0.8262803607527786,0.7107609707446808,0.7274044434715587,0.9063141324369177,1.0410165374146714,1.0087890226966976,0.875686653151679,1.1199334045907339,1.0511924779019166,0.8488929247655104,0.670472947573384,0.5340798236885124,0.461484531448182,0.6910893327718556,0.7092152364698335,0.8858314742601956,0.9756984120057381,0.6880359399367986,0.45710937454005285,0.35004415142207834,0.39188023090138857,0.40914109994722403,0.5013378865546972,0.802692303518068,1.5468005553189512,0.6276525382714648,0.9498273873663139,1.178635239807644,0.794468613932958,0.8167585596705834,1.1771331751994127,1.0863781318372827,0.9096659600557411,1.2581024146868012,2.0183500198230218],[0.9933586937765619,0.5258125706097599,0.41274699878209303,0.2958166110837897,0.3473082321045168,0.3682864980537496,0.30437339489142384,0.3142063475797985,0.3638261568485017,0.3026649644671412,0.29018074249978515,0.358327509827605,0.3019993874424791,0.30444380094905704,0.34722229354084333,0.33181649083532677,0.3674826012393205,0.40199292218647426,0.4623802941649055,0.4386219117102144,0.46768713825834096,0.611361133446653,0.6565860137928237,0.7864025472705589,0.6136804207724494,0.5725137040507107,0.489775962839955,0.3781257440716099,0.35481230215179055,0.3506507981435004,0.376042367004918,0.3748985908936793,0.4018292823899997,0.38076499203359676,0.3564274417131114,0.3760533630717169,0.3482736782822896,0.4038048445524264,0.416287957438305,0.45212512991109083,0.641637143657015,0.5872655509289368,0.5687345192073062,0.5961745415843475,1.0566754285546578,1.0570580611873672,1.1009153863225063,0.6574647488411962,1.5813693205028676,1.4672837431724373,0.9193931127776248,1.5971022191498485,1.297955957586055,1.3511452459738489,1.475364003647349,0.7686661644049565,1.0987913692070597,0.7234753978607227,0.9516999890113111,1.1894463837002116,0.9407141157596047,0.6059402945693493,0.48239542820298875,0.7031191272351642,0.577365090766361,0.5385576407974407,0.6036289928803031,0.4395587492761708,0.6209353033499297,0.5591721311000453,0.7340780514922238,1.0125955540235243,0.687448634042297,0.7512394941884274,0.5103546296074698,0.9281150804067456,0.43431802124308283,0.3952875859773925,0.39318411932848824,0.41069024731644416,0.4285074473435399,0.5111183343129097,1.0502513183943907,0.43861816959018834,0.5971217049809928,0.44176012099643885,0.38806488822940205,0.5018043923109043,0.3664347870818079,0.4569379244159026,0.3960436031715786,0.5204039916908189,0.5096724112058576,0.39557126313800783,0.3807961689295673,0.43227251322711213,0.4487837872736966,0.39522972761715025,0.3860975653916387,0.6010768029102568,0.3835962900595527,0.5346486435878104,0.3914297126673771,0.41145022009353666,0.44372283906182053,0.4565013193993377,0.5307425008059437,0.4030327825641447,0.36916500688572024,0.5455727662188472,0.3107363023209044,0.3284995948383178,0.302604116411208,0.32415410811650197,0.3222390272785435,0.33423596255020144,0.4018303183908424,0.4048274198671086,0.4735952946637724,0.4915900419269022,0.44521173006883225,0.40651820860349086,0.40992497202260086,0.32384331831190205,0.3059433330412855,0.3390951826942561,0.296551920064559,0.3352445044460396,0.30140918484971346,0.3865048842567763,0.36875777689713185,0.33921050790427243,0.40895158382002683,0.4050559741508887,0.45043674937124034,0.5292283271459197,0.5465540020784098,0.41301408373592796,0.44251678866024946,0.4539054917876868,0.6685430421110755,0.6505002903660427,0.494245771917538,0.4022940095888408,0.38848504032586634,0.3726075856052245,0.3368034026216028,0.34377294212442344,0.28540465638985785,0.36304145409294813,0.38905595258892567,0.5093062699895583,0.8179925810820747,1.5773196472052036,1.2340287723751355,0.4791821312163209,0.35643142056703286,0.3491290759146708,0.3402943887583652,0.36624760543369156,0.3735041088489049,0.3762437104318601,0.39329083489975386,0.4022161154158623,0.4764201362860477,0.5656422251324466,0.5218184913764028,0.6834207563304584,0.7661584953469117,0.7079968942903533,0.5362222018948559,0.44331638271580415,0.4031188968428836,0.36958486865533163,0.3333904781806021,0.38550118386559673,0.4146974840651192,0.5810074084792266,0.39114558968167545,0.4167533565997314,0.40598655222497,0.3513780546037975,0.38322320015357575,0.4140407578181951,0.44854121250711965,0.6225896052523503,0.7855011258397527,1.0960140978518023,1.52233817559954,0.9663721809875198,1.1421387603489448,1.3037819284684165,0.8943056046499364,0.7641754452013867,0.5908185982784376,0.7582829393644662,0.6360389999733818,0.4092581784061277,0.41735975644698464,0.40168765368213094,0.40262544486756685,0.4556332802082249,0.40717991905011014,0.422866160595103,0.46134518851554684,0.5265010950823993,0.5932483177422505,0.47849689175286875,0.6010144663687901,0.5897221360395171,0.5147664656772941,0.5901160060433117,0.7557057317177133,0.7085787462344844,0.6650231791987365,0.6085479491385861,0.8082298690482905,0.5654621130825918,0.5388753373238635,0.5810461132057265,0.613694506993538,1.7240528228042553,0.9123684090909783,1.1585671512389455,0.7785347360895547,0.6677052654759194,0.6333407481863159,0.6090659517338393,0.6620858957553456,0.5189166740471363,0.5336249591749666,0.5909860358550036,0.6398976300657124,0.4756001615128407,0.7019996510874447,0.724002521332512,0.7503288521114707,0.8211099263481914,0.44538296806521455,0.49260312124175043,0.49904107295723865,0.5952337059250964,0.8132362984882164,0.8912751292846119,0.9719870766207381,0.8020744782130763,0.7863637343628156,0.911610470513182,0.8029455652656786,0.707181457635693,0.8364841905115717,0.9596174011227104,0.7824577137229229,0.7626691088037617,0.9071906714305865,1.0220011402653593,0.7653018539879358,0.7538595579821588,0.6460048143954228,0.6158025493808433,0.5802039298622047,0.5709401987233151,0.5357393904483404,0.4989494924649629,0.4877435635286469,0.5057031521984284,0.5395131037195486,0.5164073292420609,0.5782087965868423,0.8047032760596983,0.7048655432346318,0.7140168193103094,0.9202729367428387,1.0631405978132464,0.9962818243205606,0.8215066118657737,1.1351662595699694,1.086026261853999,0.7384990830837699,0.642151963369094,0.5137357561834915,0.4708560526696238,0.6687683844760177,0.6688212407414676,0.8419599548793089,0.9281070720958148,0.6814203190223004,0.507142740466228,0.39731070769862004,0.3974760432675381,0.4460581278307544,0.4787547555130019,0.7401412170176297,1.5691888144027146,0.641691637597774,0.9118950323297905,1.2102164049330981,0.8264370167428537,0.8580287555214084,1.1466634225675316,1.048743302950968,1.0567739390200475,1.413359688432069,2.582384365668548],[0.7999800899536187,0.47062026285782926,0.44909255117044283,0.3428298430799405,0.4676751146296934,0.4239496355995189,0.4079975474525016,0.4270911787946475,0.4454296659698568,0.42749135394678156,0.40514388040300675,0.4611132239133409,0.4391794151807842,0.4286301356035266,0.48231524644414175,0.4619823508844468,0.4858416776439645,0.4985478655555497,0.5491082966853834,0.544559154621427,0.5891010592696796,0.7236061174552514,0.791493696284248,0.8762241490966212,0.7529168707741295,0.6824201477616153,0.6321114198951734,0.49718116752189884,0.49212417086915544,0.5027750919877518,0.482972876533922,0.4749773628510974,0.5126847946206765,0.4950298265975498,0.4844805223594976,0.5130780396291473,0.4984241285709439,0.5534528173947368,0.5596823971885851,0.6009493349930264,0.7400687417676456,0.6975849075255494,0.7016970263157849,0.7092392356881532,1.2192804238733301,1.2680476667343292,1.3758916186173786,0.8502852861691482,1.4771577323671172,1.5137300836062852,1.0922064642112528,1.7414380548832913,1.4456545794038664,1.610573220256161,1.4799526266285412,0.8247507817816699,1.1501159127263023,0.833578773609452,0.9325767643887132,1.3572495243833715,1.0324136306738942,0.6707616140360808,0.5669363315637607,0.7729582499704283,0.6618739909603545,0.6204078856164463,0.6493809042184329,0.5388822099638889,0.6806780934862601,0.6498657826528009,0.7357798076793743,0.9557282391432992,0.7355495979851939,0.812078920869838,0.564107421411164,0.9395595204036059,0.525427350265019,0.5046309059744218,0.5061823481065153,0.5249176494556985,0.5829780521208368,0.6251425484401125,1.0135038690795302,0.5893376690385065,0.7450522891716803,0.5576861774551548,0.5441232814299986,0.6354889452483722,0.5207486922003728,0.5656170262990707,0.5205010793032177,0.6071971888574775,0.6261759556324561,0.5148529898624091,0.4832854890141316,0.5492812404921075,0.5557015080847161,0.4773658323355709,0.4849111960795117,0.6488829882239688,0.4853010827474935,0.5742439821237377,0.4923414394572285,0.5160426544605125,0.5239478240106761,0.5260833193620517,0.5619735427974598,0.5337307904332531,0.4727699473767201,0.6134137255029013,0.42285587268342334,0.44795390921595274,0.4415499567472115,0.46053105915180165,0.448877840769495,0.47844698802510705,0.512844402969564,0.5087725437038193,0.5680478209376351,0.5392960680699329,0.5302607416630266,0.5217174747058358,0.5142263310967204,0.46435454389883446,0.4380670031515901,0.4813140087006397,0.4331642929859736,0.4716151334729512,0.4386863366847973,0.484340922902416,0.4878573475016688,0.46484813543355424,0.5262474860022403,0.47770583094857466,0.5439128197293351,0.5994694746746193,0.6136021346453622,0.5269325378600722,0.5421659417263148,0.5846223137976179,0.7706561811789638,0.8011642396214869,0.6072219942767161,0.5410928290509162,0.5332216687943667,0.5094270010668218,0.4833988680574994,0.4769531853941029,0.4227333194284884,0.4826060754981152,0.46889159311978845,0.6034695464201317,0.865911015072707,1.601460118981517,1.2998924933778355,0.576002451378695,0.4601809194585,0.42913729763447744,0.43747382564042964,0.4794387691633089,0.5066109189786888,0.5066489185325203,0.5122761697318887,0.533250603098662,0.5737389631209886,0.6598763824087481,0.6375505293891168,0.8008931318120478,0.8424976560849271,0.7786502113921422,0.6134388915315219,0.5552691519625014,0.5246289430050373,0.5156496043232227,0.47900938775598156,0.5083514937133309,0.53704255622975,0.6279258700423559,0.5267328125857876,0.5031651506969007,0.5697647621684657,0.49183283785683235,0.5194881140038629,0.5702152535315435,0.5851993537154653,0.7510910572443527,0.8745449027862688,1.190822710080539,1.5930863065882102,1.0909008263362965,1.1386299053162219,1.4716557484806458,1.068462925099592,0.9333613171275664,0.7713439439360381,0.9159736270679085,0.6702753481571622,0.5496192640757811,0.5325662450559242,0.5096952023972636,0.502437196541776,0.5303990546420151,0.48662838617979176,0.5234672734328305,0.5189335992980415,0.5555438810673963,0.6453381939952485,0.5466970126516006,0.6025466783237556,0.6067088251814653,0.5444077699530055,0.5966424818769644,0.7497849908495272,0.7420013406121048,0.7025838393435468,0.664367047230899,0.8122436391808567,0.6483181258245578,0.5900880575170286,0.6194476626585174,0.6849364654009442,1.5700035981974443,0.9485492031965435,1.1675060124162946,0.8065723508902749,0.6609455097872525,0.6392552257704084,0.6520510713544548,0.7432257372463869,0.6027761243935581,0.5992966945356352,0.693877514161239,0.7134002104158768,0.5731135291499838,0.7863859873791907,0.8568454713453589,0.8482082566820902,0.8975149707879962,0.5537564907414623,0.5793161532446356,0.5818546124126471,0.6208012150240402,0.8392261596999112,0.8707098948521503,1.0150676833775463,0.8434959044591445,0.7879322522658483,0.8812159216914741,0.8192418581750419,0.69612259569223,0.7998893309701505,0.9232565112638913,0.7619067037001906,0.7365235002206243,0.8619090960666255,1.014694997916879,0.756345699015874,0.7430509925035181,0.6314698785594652,0.6238095107089967,0.5989171373247621,0.6167933199753352,0.569949437444962,0.5476587224183328,0.5494937221752971,0.5778170108968266,0.6061268670006549,0.622510138471127,0.7025282766320083,0.8923575931582244,0.7651447308795648,0.8454464309521956,1.0782766349513995,1.1990013185284376,1.074346635224558,0.8876532412398539,1.282538348262405,1.170322355105185,0.8298341551753864,0.7255053027771161,0.580351025859238,0.5071187213034744,0.7110298367475272,0.7084922901687917,0.9181002114388773,1.0010305222672755,0.7540687694008251,0.5919566150984658,0.5139194519615826,0.4742488148069917,0.4722593324777473,0.47479503754583974,0.6234732522498346,1.4699966167857144,0.5989868033005975,0.7854606498909409,1.0798486773952636,0.7507423745184186,0.7577015642244782,0.9985010877832952,0.9779194153162869,1.0577890246590589,1.3728138941325994,2.5994787570236677],[0.9119111646071725,0.5440957019063781,0.4414839365448103,0.34964106387004246,0.41640548468498073,0.42765000283299764,0.464017882817731,0.4515132945748788,0.45731631508744197,0.505451326454945,0.5399432088485817,0.5915165105574354,0.5568745124350887,0.5527963581088573,0.6243878966769342,0.5801740105050333,0.5859439230716564,0.5850323230360213,0.630936154819684,0.6204797714148498,0.6546505546015546,0.7733584402830143,0.8417656706117913,0.9248917086873956,0.8019610584519676,0.7479262601705675,0.6969501690816691,0.5689737885997466,0.5799270508015797,0.6064286202655121,0.5804107166394461,0.5952237853477412,0.6199403769803883,0.6147068916939474,0.5964322232990646,0.6126774535857746,0.6024987606586604,0.6371093559410099,0.6263045023832287,0.6537072059435841,0.7800718971468147,0.7542509200662488,0.7563401739874402,0.7670401937548393,1.344557819383184,1.387510491225119,1.509478978294891,0.9492659531633402,1.4579722678422327,1.4390288638623074,1.1158501033926707,1.7236254640977466,1.4595257052437784,1.6598992998076818,1.5112813488195929,0.8502024934794733,1.17472242079353,0.9012276606826436,0.9845556784024283,1.371547521622036,1.067517264296441,0.690710923271976,0.6145131299187344,0.8279172192980273,0.7191770789454419,0.6919612786362336,0.6826875685205097,0.6050451887625504,0.7114514386750124,0.7214529890506474,0.7662754506288316,0.9738703065283858,0.7728650043811597,0.8460290834650867,0.6447207062699953,1.0058100191322932,0.6090324846409487,0.5846118010907495,0.5957808855124376,0.6102558741583984,0.6583546229234776,0.7048227707548356,1.0557635969162258,0.618597934503342,0.798335099191014,0.63070482741064,0.6291713584733862,0.725137944781748,0.6204551629660598,0.648636419056893,0.6076119085440276,0.6765161799127237,0.7065714498978453,0.6370170492572866,0.6140364191999024,0.6904491542249472,0.6970218636846306,0.6170316054927358,0.6088248747280091,0.7394285056388621,0.6098853710148985,0.6413924847376892,0.6025539548243859,0.5999516500491011,0.556277666057947,0.5615210366595004,0.5659142235555307,0.5268239446116865,0.46470094736933143,0.6563084250344595,0.44216126412310375,0.5009150474605002,0.4929146092816859,0.4751979080300776,0.5179758478653326,0.5173054024365428,0.5612699268303984,0.5550921810777489,0.6094278571171716,0.6032352153741624,0.5932850903143964,0.5924983686396037,0.5881529637010097,0.48853181432986237,0.4135051097352962,0.4389932813921027,0.40570322186658464,0.4385670270421923,0.42611018370144005,0.5343321765745171,0.47363675785768367,0.46908585730446173,0.5605678211904259,0.542568321330497,0.5938349480838092,0.6342731366010085,0.6130633306082307,0.520760643682932,0.5561188777119901,0.610378075084669,0.8175348278151954,0.8871661800102465,0.6702400886268955,0.5697692138822448,0.5744808038063374,0.572043414639075,0.5322530953152506,0.5376157073527312,0.4924658327325729,0.5494154409615843,0.5518572525827813,0.7036787862910483,0.8837378883010684,1.6110594206342643,1.3773676440513802,0.680841406102034,0.5894433431760674,0.5378589364844375,0.5578462334087746,0.535280466534018,0.5394052037410064,0.5599406521715621,0.5484247309061101,0.5745485865738247,0.6045590804890603,0.6839470322728688,0.6589838908198051,0.770915864616121,0.7704427672077143,0.7522177354112966,0.6382646147860855,0.5631652081708356,0.5322124691179159,0.5352623868968927,0.5272210895949466,0.5751756511506824,0.6051564116848187,0.6763705042458135,0.5718158064510579,0.5661869500080142,0.5711747508114677,0.5240080813664839,0.5672046286522927,0.58768856159406,0.613016945838121,0.7619039892261824,0.8927234646018546,1.240762109555116,1.5659408332310178,1.0858484673509088,1.186508098614919,1.5548845647243905,1.097577954615039,0.9364937014258307,0.7675153337479272,0.8903366260704347,0.6721575478907856,0.5323942326323029,0.48299467800616774,0.4652508008267194,0.45283672367327366,0.5107412359749858,0.4609421451936663,0.46239187109540525,0.5047444674818597,0.5749800326824586,0.586003830547195,0.5062666437844635,0.6097521571575003,0.6123290256122198,0.5387457210935975,0.6043263097600895,0.7686559916035239,0.7660199975632415,0.6971291387757244,0.6351633194480608,0.8288807402108064,0.5782954899068755,0.5322699131571449,0.5847429761377333,0.6098906787643886,1.6320514762168974,0.9273757143225012,1.1755288835803477,0.8513010762436274,0.6737971881897805,0.6308674756347764,0.649095583424036,0.6747580205189043,0.5655898134773009,0.5778695963547613,0.6664730167668718,0.6498613713487977,0.5253739096202833,0.7595329279316214,0.7814841339962545,0.7772274969726792,0.8311728672568846,0.4817612102456288,0.5688832545061635,0.5813697928625173,0.6031254310245969,0.8110909662635156,0.852144353362192,0.9750561266142103,0.7957995131801693,0.7949467150776122,0.9102129203052046,0.8167686054181225,0.7187721834907783,0.8305366788427858,0.9394587521003168,0.7748256160645732,0.7589191150751952,0.8664151043463901,1.001976689135596,0.7524975744994937,0.737531774567575,0.651262318409486,0.6239575368657739,0.6143364317608627,0.642096970446189,0.5533816606458924,0.5309710274274875,0.5355001591767796,0.5383765762231956,0.5689892430607194,0.5641837252477451,0.6417692149433833,0.8342892014974795,0.6998863843966369,0.7437890314886848,0.9842367483973126,1.12842884158617,0.9871802633682487,0.7992090039503965,1.2564925825511266,1.2212711451842158,0.7512225956518389,0.6557966273165964,0.5194171405489677,0.5149872351988367,0.6990307806536559,0.6354046841352884,0.7965307676861829,0.8965538809017536,0.6522824869633783,0.52127890013435,0.4613704615556446,0.44493073601005245,0.45012213001768625,0.4863233935474871,0.6701681234098257,1.5080487027044909,0.6527489121270893,0.866970480210972,1.2152014865957677,0.8345438786711799,0.8765726125424275,1.0985415038343984,1.018825612722522,1.2059082101008503,1.6376589610688188,3.0485517221775287],[0.9514342078634348,0.7096278043650152,0.5884829136676415,0.5721162479662242,0.6422816566143423,0.5778450020502988,0.5793349819343612,0.5609431470088502,0.529099189125287,0.6355686623725396,0.6624474106049717,0.6997656934973031,0.7973132168401417,0.7798096033953107,0.8993820855934888,0.8954231555988905,0.973120866908036,1.0355171116627262,1.1492507659501712,1.127063876597998,1.2084298936540323,1.2497129916543743,1.3393107643097668,1.3505514494380282,1.3124112293017118,1.2512131552123522,1.199041097999449,1.0333958553247957,1.0187369075343262,0.9741094252072163,0.9518550687649862,0.9084399220901566,0.8938618716578113,0.9877837988490836,0.9832639471616176,1.0334547822568982,0.9774818007675483,1.0723645624601383,1.090736975655792,1.1278231334347362,1.2212625410848363,1.2267222039767076,1.2424407088258957,1.2621976458268085,1.849541692792127,1.967438449496318,2.142541093179972,1.510078273875961,1.6279214409174143,1.7417424680819797,1.58572232314111,2.0080828827640484,1.8070503985080417,2.0471458266785953,1.7935166959758355,1.2488498214057564,1.440268474159424,1.3509378077689194,1.4044775156499654,1.7364675571721624,1.465090907504547,1.1420789438469863,1.0877471189663752,1.2679544297776644,1.2066743259177826,1.1514562711402787,1.1435232702630105,1.0936264370292361,1.1928658205562208,1.1716182713492396,1.137659862789982,1.2677879897662228,1.183782067214715,1.2937248114415028,1.1006674108679928,1.3284831666025805,1.0934059940435417,1.0594623241960637,1.0776040182447266,1.1003286674017037,1.1013947002718765,1.1481647519011027,1.2952887382394382,1.0292156455427204,1.1697336192724683,1.0317347438336029,1.0889367800441245,1.1180111065397158,1.084783252553987,1.0539283147488934,1.0557667878678887,1.0894208956091875,1.073046701645904,0.9591000594088664,0.9318440539499689,0.9680913122025673,0.9139979799611015,0.8547707592339733,0.7964442629342013,0.878014377122242,0.8451599011336184,0.7999482927963395,0.8672282215022048,0.8063196859783007,0.8238801778444202,0.76402422502698,0.742153176478578,0.73425873555084,0.6664922228536112,0.8281246779442063,0.6344133194374306,0.7150737067897253,0.6702519333160832,0.7314353208952853,0.7977302136007655,0.8393037677749707,0.9669819179428708,0.9671066525593192,1.1401647153578365,1.070081414780761,1.0600008348747305,0.964574284919798,0.8861072393118975,0.7631403631519447,0.6330742282399348,0.698095034426425,0.6167116920459776,0.6733505743656475,0.6673246409900073,0.7761662920643398,0.7024796255949486,0.7096015150199826,0.8083190202181734,0.8095705342599131,0.8368099606985675,0.8490082875353436,0.7915692436489316,0.7957199956557585,0.808685097088497,0.9156258767485579,1.0862077292984376,1.281331251609471,1.0850077790632053,0.9493599821155007,0.9887655301715845,0.9713660870976947,0.8930671876340288,0.8354635476014645,0.7622511095984417,0.7255746124437517,0.6930782203182021,0.7732599803115873,0.940791087284391,1.6611385247129877,1.4308803026816477,0.7942309146058045,0.768733639229722,0.7271088046884983,0.8069523541986208,0.7717394637631958,0.8389792675502481,0.9285480860005891,0.9096047355849295,0.9773172107650203,0.9792057216488397,0.9943550542393311,0.9632275702247927,1.060587017102634,0.9607613166078016,0.9513328319053604,0.8773235450406281,0.8686945913598082,0.8701979505194859,0.8788406374754598,0.8914379898637902,0.9001094832727132,0.9271406807858222,0.9636047159553132,0.9230886784229169,0.9151050296890471,0.9266610532849022,0.8268344067622332,0.8791399305036004,0.9114037160159602,0.9419762869587289,1.1307612288521427,1.2527518506262323,1.5546874862759728,1.8041563166877186,1.418747662314033,1.4161809735403674,1.786803716939029,1.3047121631085374,1.138932961564646,0.989231700160108,1.0767808560257826,0.838997330693515,0.7911820914461095,0.7417373087120271,0.70824080093025,0.6874938704426,0.6822786436985241,0.6583071690357507,0.6799563816724186,0.6617975741987192,0.6765661808016701,0.7268107500425377,0.686385115676582,0.678919354304319,0.6960691924024556,0.6873630554993678,0.7130545791148554,0.8181692903872575,0.8910709639876416,0.8583174445685872,0.8117207848372578,0.9003192241496175,0.8054787041193231,0.7498215686672256,0.7496720730655355,0.8035926808810129,1.5948902755914782,1.0526002598336466,1.2893885888975796,1.021937657551729,0.8615983280036056,0.794604093385167,0.8334011190325538,0.8822236796882886,0.7885129922768681,0.7923306674424224,0.9220676038522664,0.8891342131722135,0.7936371946161863,0.9308758077816912,1.01657610367438,1.0353913139471618,1.0054862359824341,0.7460004406604611,0.7989296451996207,0.7759574215700732,0.7436203480071212,0.8762699867954402,0.8812089883376143,1.0122890499273347,0.8620835744540349,0.8772977608457523,0.958375214115321,0.9023244278213277,0.7950566259149977,0.8860528215209978,0.9959050350985319,0.8402678931382581,0.8160881871190555,0.9250881565444236,1.039794100373021,0.79467727567137,0.7822890451160555,0.7074225007375253,0.7020303656047836,0.7185255001396401,0.7745442926822893,0.7183429333416236,0.6969294669620216,0.7170199381263034,0.761385801896863,0.7912258308274898,0.7978398555764276,0.8677894428221263,1.0351882881727188,0.8882174346717436,0.966844407128113,1.1777388008661474,1.2997721864122496,1.139753231876799,0.9837725601561964,1.4703606388078958,1.3977887179708504,0.9967545968805026,0.8887864328903516,0.7396797820034365,0.6654253825668668,0.8614875292968812,0.8340037667827014,1.022267821527926,1.0989505164936113,0.8594312067933959,0.7324487911206863,0.7003952385947401,0.683968279762116,0.6282611355653327,0.6269464412936362,0.7484272587906887,1.550707771933429,0.7377271889626354,0.9106800730683957,1.208710824735485,0.8537679315116403,0.9389552261677798,1.1500733671791672,1.103162128306255,1.1517142124049633,1.5238107415202025,2.844581176369033],[1.198624586741975,0.922560243718115,0.9582599994646117,0.8866406579599334,1.0391196436216665,1.0021259779080296,1.1320384990843821,1.2674784098305865,1.2289130918288458,1.4451238410651304,1.602621398144548,1.6545382209263022,1.7943346381630112,1.753604690070011,2.0051441114444946,2.0127832915278128,2.0269112458599983,2.0899249278353844,2.0252435071908885,2.0109415690642245,1.9658607198350433,1.9839485070648941,1.854467106477038,1.8165875052004965,1.8459847313565538,1.87351776251106,1.9131226728436428,1.8427826170962172,2.0148902132906135,2.046776079997296,2.091379981196946,2.048187535671643,2.070227659719078,2.1550320276140797,2.1074730475936563,2.097461578494358,2.0425653141350217,2.007416532330667,1.9089034342490563,1.859940802681028,1.8071568536983236,1.949424835076567,1.978290555667731,1.7140438034538945,2.0299867685330284,2.111658049967881,2.2892632512081765,1.7906137416927528,1.872582672156247,1.917217418819416,1.8085081805926824,2.203888758745087,1.948002531898897,2.1783723964070405,2.245227742521341,1.7190841554808283,1.7219409875759053,2.0457351671354216,2.101655201601396,2.0468747075290876,1.8612478591465684,1.865361821484506,1.9669059191376534,2.034763786701705,1.895659123193086,1.94646108288531,1.9341682343852207,2.0769396358610717,2.1073467566294095,2.1853677794660538,2.0872723424673034,2.059263598563275,2.1071536106085036,2.07856911048493,2.1098179377893334,2.2478537162501087,2.0683526162072505,2.099989152171039,2.0961560744761574,2.0454300884073477,2.1111618358648387,2.061257059899909,2.119720528405251,1.8953385263420188,1.9569271373308683,1.9586252085157267,2.0168655081710365,2.120186452074082,2.0912161241425786,2.149583578451073,2.141515463720414,2.0953596020147764,2.1275488563194336,2.102330328245427,2.094757353493442,2.050099115497387,2.0115362324209634,2.012629486019888,1.888332498471774,1.8669107929800273,1.9654032921247624,1.7896605154056389,1.8832369023176445,1.7254840649912555,1.602869436087238,1.5256938898792773,1.4847493008069548,1.3537149355655704,1.2443996648371407,1.42411852118625,1.2263670039171537,1.3681236791686509,1.318681209892283,1.3605588237595982,1.550802450804371,1.4277519579952211,1.6782538396645776,1.4326923822092132,1.7473827262718065,1.9774600902481239,1.9316273388630074,1.7854509320641827,1.3496464466324882,1.2499891460071229,1.1801027121165302,1.184396609153072,1.1243479157271434,1.1860942093523652,1.21692498038711,1.3552288382750912,1.207799318302263,1.2506369044736045,1.278701438901959,1.3916287853467235,1.3055461140944051,1.3212067970487251,1.1524211099415747,1.170149906879639,1.1492743880332834,1.3018662742590843,1.2844221718091193,1.4821965815639382,1.472795480922195,1.4479197362952496,1.593467824481985,1.7552011845638646,1.6212860560058107,1.6917652183439256,1.5883093290969315,1.5112794814006874,1.4585509258556437,1.5644377186952643,1.6911546367432435,2.0570884763691972,2.033680199984249,1.72098113653151,1.747423752088153,1.6407510283699973,1.7907089566062668,1.6075508034721828,1.555454716097791,1.7476359324818422,1.49471162624545,1.6200990320459978,1.4169137774519005,1.2697231162748037,1.290368430157111,1.2730806967262438,1.1539334746065486,1.1649448540612721,1.192930083724873,1.250342820150197,1.391376950368545,1.528429548720106,1.6798002060663144,1.7785490356224176,1.8729857004303156,1.9264368461474308,1.7836837536473926,1.7651336708082948,1.5885258200005552,1.5403249252215723,1.5021272710844045,1.4651361447074887,1.4511767774087825,1.6564344080562492,1.7722139326403572,1.8490635901848338,2.043838898501848,1.7703278535527895,1.6148484419490072,2.172200340753394,1.5832633613327631,1.4568570820323439,1.3688433638805317,1.4460589675096263,1.236773512831713,1.2225965856128385,1.1627871688661453,1.1932427708591595,1.1530433139766427,1.1899582247605744,1.1417443319161158,1.0914283600721935,1.0960983077337172,1.091640240015124,1.0753360461774335,1.0485896589822077,1.074778908913785,1.0238720923464213,0.9866439575124499,1.0082492311841396,1.083579983173593,1.049222561596085,1.0288461156430435,1.038900401875024,1.1496071241172792,1.0892303210963827,1.0303125314657207,1.0429657789370455,1.094236943171799,1.8020601650710124,1.3765655470095037,1.5368019881936057,1.3677615779678385,1.2751052877409643,1.2655783821455218,1.2591995958423912,1.302305489222477,1.2150196813026053,1.2426026396818937,1.2981773284608773,1.2298704673459762,1.2046280349900458,1.3812416027247332,1.3792912691149664,1.3722580871886874,1.3569250014904222,1.1549318299328593,1.2335342826931173,1.2591852849349878,1.2602910634527582,1.4037436998836168,1.4441126260769426,1.5404961187653814,1.4052993147088375,1.3768007898055934,1.4232183362034694,1.399202793850439,1.2696392155940488,1.3217698273639027,1.372392586097044,1.2148789476631827,1.208880044655697,1.2574400737049893,1.3289113301645945,1.1297954581044345,1.1271277280164242,1.0881745793194992,1.1079209908394139,1.160375321779335,1.189346373495002,1.0912048328423376,1.0632369145641967,1.1504606888384121,1.1175609932583328,1.1090456088734229,1.1633796711002713,1.2319176345113219,1.2770724525105033,1.2108972222366003,1.286224056372016,1.481259312439044,1.6015140078348513,1.441537844026681,1.2491076571691457,1.621215856692353,1.6348213668776936,1.2645725287020104,1.159472784293692,1.0092613291961534,0.9641468436523306,1.0950071809948578,1.099262795345819,1.2548050241803443,1.3520368910603255,1.1748865821064676,1.0927592794021488,1.1317526774465647,1.1174850226632596,1.041064360930045,1.1566361304840806,1.2036512337776337,1.7961454343607108,1.178944769125855,1.2220039727755354,1.520662797288076,1.2484266002233935,1.1734783369502584,1.361722220456266,1.3740397300451677,1.510248314112417,1.9246158582831712,3.3967597022784224],[1.1526014006456913,0.785020763700264,0.7121425898378971,0.6291531996998309,0.7796615447943274,0.8384613774533063,0.9328398292365031,1.018984060092803,1.0280921109985774,1.088985276987142,1.1871665554689605,1.2332252493131601,1.227506170943405,1.2165948363265584,1.3308782179922554,1.2886821804183903,1.233107412481486,1.1477944186129496,1.0660641344233874,1.0805255121826665,1.0414953290614968,1.095226800396156,1.105598123890558,1.2704531655345406,1.1130670097963087,1.0958518302746147,1.1015835944727426,1.044044906704074,1.1539192678228019,1.2539916204768824,1.2167710182691316,1.2845484450434883,1.2745991255127578,1.2658211444057348,1.2200879977614072,1.1735381292334672,1.223599049855525,1.1732705446262677,1.133518107610259,1.1223789377842102,1.1159741971879393,1.1493413072400953,1.156214750456578,1.1519607957641675,1.8125389214483214,1.8991671103028718,2.099909472383101,1.4093335082652056,1.550171625976292,1.5613155729696668,1.4616436534504968,1.8679030688531677,1.6476816497012945,1.8914530430343204,1.7520973509973528,1.147937316231308,1.3202864902483704,1.297999306358192,1.3863088065457283,1.4862219904550673,1.2833894731675646,1.0209866271190429,1.014328957080059,1.1694459083763176,1.0647000045592547,1.0585683909768906,0.9985997138375526,1.0732124117157549,1.1337812327128352,1.1842682611136717,1.0494787681315503,1.1153382102395786,1.1290980246445237,1.1970540943916825,1.105221083683617,1.3544823201916723,1.075410594566684,1.1164243531189513,1.141141101558517,1.112230014392452,1.2095745819119428,1.2139009898765114,1.5807615850809875,1.1673594602129913,1.2699702174420142,1.1957585247479234,1.157511693202953,1.2574247399962408,1.1447494223032464,1.194720521866545,1.1838897917764575,1.179390734468748,1.2281488874972155,1.2530000701605084,1.3028787861755315,1.3375224006430604,1.3638874363844768,1.3464864558026002,1.3377011457550108,1.4405191662961812,1.3419824666314684,1.2639814248521195,1.2832411066097495,1.252833433710417,1.1331665503652728,1.1044242434872198,1.0951545473681215,0.9928112691954719,0.9307382709299704,1.0949009715553977,0.9237805569691848,0.9890892330803712,0.9740052401708958,0.9654250950165747,1.0526441362935064,0.953189052044918,1.011733611409189,0.9206434358702223,0.9814767791990469,1.1006027826294227,1.051928603228392,1.0809156041706218,0.9513840309197923,0.8969473848591376,0.8988478163678311,0.8805311306921387,0.8861575665599314,0.8973453076812538,0.917982024014247,1.0137460840244195,0.9054856105592908,0.9331517511303246,0.950687705191505,1.0095304608290612,0.9750941063100729,0.9868957697429623,0.874167376135939,0.8546587981076441,0.8495922736597245,0.9325732514864893,1.0360306517649331,1.1867383120720145,1.013616040058819,0.9471204166264928,0.9729694001147927,1.0577213846942164,1.018497106763248,1.1107769216164687,1.0968777081246721,1.0990998861875867,1.1214756940569124,1.268237029228265,1.4127046959209302,1.9800575948019012,1.8185935575197627,1.3426832128464121,1.2874726470686346,1.2115938711741567,1.2273096668021672,1.141531657157698,1.0666948431737007,1.1192669263621184,0.9787216722604059,1.0322497747482335,0.9773343682005593,0.9800719939633864,0.9623408587604388,1.0202659624912942,0.9555027796661565,0.9598616556252747,0.9091007064912613,0.9078816117121724,0.9604165392616262,1.0184965397883128,1.0930845554072675,1.1962226256325477,1.2288614467997732,1.284726928380947,1.1312797590579688,1.1711958671607312,1.0409786360360918,1.0751667732977515,1.0566317490020392,1.0156330882176727,1.01124258232268,1.1434759130828689,1.220512145170864,1.540301797554727,1.7796659324215822,1.3790243375818292,1.444640768190122,1.8279786573750199,1.294053891866974,1.1768674229268261,1.0656458533334217,1.1596126085962946,0.9693256851289024,0.9164098641762521,0.8665110478453253,0.9039640194694072,0.8830626652220531,0.9285309474919213,0.8960954863379246,0.8387761691440575,0.8760382880965273,0.9129110353641674,0.859830353103454,0.810751253191564,0.9041915734428192,0.8573411482709232,0.800949071477769,0.8552561621466424,0.9758276749502335,0.9016064373771782,0.8354094180472778,0.7828159599448442,0.9873939676479846,0.7443697608314599,0.7701944899398043,0.8183116015342317,0.8653021533331843,1.8145978207572009,1.121084780060973,1.3367957357919356,1.1188051907908114,1.0338509032543706,1.0155851091924601,1.0003299844397757,0.9973540970327357,0.9208892255562211,0.9502686356767395,0.9914489165980854,0.9346820004540978,0.895137544809325,1.0973456863104951,1.0664456699382867,1.031260330511392,1.0803115797369114,0.8675019762227143,0.9619438293031718,0.9774637936332048,0.9881675503751288,1.1369163150048383,1.1900699560074972,1.274646627545808,1.1490244033189092,1.1673220513718878,1.2490675944587177,1.1768755769010635,1.0896024382826601,1.1932069194156958,1.264499363145893,1.0876696824048357,1.0817308401690682,1.1796275541057053,1.2715866035960826,1.037121152239425,1.027546470912283,0.9415921263794805,0.9355515092092958,0.9519732107211847,0.9495471364644972,0.8724715493500809,0.8526059760591099,0.8952135798264589,0.865036081536999,0.8757673584658315,0.8823169637296355,0.9262931168787047,1.0324431419293059,0.9220089873614974,0.9612792627573035,1.1469406334672825,1.2722696277421373,1.1339343477546397,0.9495796507377143,1.3531484334853656,1.3005674587441323,0.8847239956610732,0.8062103149178347,0.7263493235996554,0.7073373518881979,0.8177813173446066,0.8187941092312027,0.9766028927632607,1.079728727088487,0.8966096768744609,0.8487516203095296,0.8533377585540515,0.8713507400167593,0.8736590149501106,0.9596069994456637,1.0899551009300532,1.8243829015063828,1.050785859652528,1.1922431940817866,1.5395208854694806,1.193908474086802,1.152963692439496,1.4060106738803746,1.389001940542655,1.4433557434128106,1.9029472206205498,3.2532757952929425],[1.0295062488738307,0.577449722026956,0.394553034023712,0.3160457333013933,0.40466961532294704,0.389523283582134,0.4221810444109472,0.41768371879092775,0.4205374518636401,0.4685920306619873,0.5077761299153584,0.5823707784034486,0.578156163527023,0.5859330151548167,0.6833459324591883,0.6739580704199498,0.72211496147163,0.7707131172778439,0.8728289106191848,0.837866296731283,0.8958985526090095,0.9623987797987824,1.061117809213237,1.2022760029749922,1.014083048326796,0.9778416969466927,0.8955880478243496,0.7404643614555918,0.7377172842890498,0.7255103733431427,0.7161285253179418,0.695447024620471,0.6998677525088558,0.771531493252851,0.7126323614770101,0.752032281239628,0.7071920075298509,0.8033210172412293,0.8137673918377308,0.8273923620845592,0.9287029316967621,0.9542711240188443,0.9515446171748606,0.9716785485865217,1.6836769309885495,1.7362747891093633,1.942632338796335,1.2495113781223017,1.4574124806508912,1.4686942510871877,1.2891741699639991,1.7380967808787824,1.5086444810995376,1.7107911447312696,1.5770800566750127,0.9642410386135343,1.247971152903089,1.058261398717842,1.1760008436344283,1.4432992836227332,1.2153105815656455,0.8702842805098239,0.7801495479963266,1.0605261896151281,0.9458054867047079,0.8689400371365673,0.8639160438278588,0.8148252762133826,0.965775083016085,0.9084619191348093,0.9094174563477172,1.062241929212752,0.9605550625394645,1.0896509143878488,0.8361089749023758,1.2017762853503033,0.8048301775719865,0.7837477110165831,0.7875418996076844,0.7988824062898024,0.8155261717607699,0.8516829405235028,1.2063634497789482,0.7554547316310815,0.9382638744675943,0.7678774596781973,0.7982479578525652,0.8394226125935013,0.7841721416796253,0.7921012333385254,0.7960149898023083,0.8673475646128818,0.8362569153594366,0.7475314739133716,0.7376394972633327,0.7983507273157473,0.7606782309015181,0.7048346868585952,0.6681637805234282,0.8274755470204426,0.6738762371649818,0.6336959403899153,0.6582179971792433,0.6506631886025361,0.5957524075648563,0.5781464678134246,0.5921434358314633,0.5342552419586689,0.44915375405630154,0.6305403870718296,0.41368012789685454,0.48505649620733376,0.46265925605739255,0.4972435002048769,0.5680128750487554,0.6012952939219738,0.6894110230800639,0.7165753731037644,0.8327637745246694,0.8040270796453454,0.7705970016325502,0.7008755583233381,0.6765811125397894,0.5387075620583661,0.4195196449791313,0.47105216706217884,0.38631676594195163,0.4535993485907592,0.43878556939864777,0.5751268952116556,0.5083721014264951,0.5019232492528878,0.6036211855934182,0.5935534070013109,0.6496932278711343,0.6748594226880295,0.646959708791921,0.5686177000866641,0.61186776951321,0.6864942853362737,0.9049657043095353,1.0798312214698917,0.8400699083223111,0.7055034898924059,0.7071262134772424,0.6981068997499288,0.6355013720610029,0.6000579155832978,0.5290893581238328,0.5337309048912952,0.5303331791307594,0.686173835301983,0.9107311094625852,1.7084771672128016,1.445613480352169,0.7062786874854846,0.598609160829977,0.5572617383328116,0.5946933567969368,0.5739532233268179,0.5904981280219133,0.6735210287761305,0.6540098617405421,0.7046426837750228,0.7343022331896277,0.7890999407536518,0.7501077747205963,0.8589841632913562,0.822006616278174,0.8110574735850246,0.6996754917359234,0.6421194875220158,0.6371431457430681,0.6236882344700863,0.6285914855106549,0.669789661413504,0.6905466104378758,0.7870247103629688,0.6741791192319305,0.6931503780314862,0.6610110797240488,0.5942788250390884,0.6495807635630364,0.6797301381066977,0.7059164677540385,0.8810312619276554,1.0037561284147236,1.3870914687325984,1.644491283715094,1.1959879428453453,1.3000483175658721,1.640593970242996,1.1541668216082634,0.9909617354651622,0.8258302380628165,0.9363276835104655,0.713415580230121,0.5630311125813876,0.504364395413088,0.46963901463137375,0.4471416703643764,0.5109011258570644,0.449629904644308,0.45929324198418453,0.48892970375616734,0.5503985377899298,0.5717563114584365,0.49189579014453916,0.5913638752388486,0.5796709572242147,0.5266521744849967,0.603027887886244,0.7689785818416917,0.7395705158554633,0.6951443851459087,0.6389668693669056,0.8040290000209385,0.6015249183612607,0.5483300708891368,0.597788505189977,0.6177169034271518,1.6695850849061304,0.9165177285112852,1.2000553735527066,0.8391119484955063,0.6838228993073754,0.6446618691816994,0.6477491997727175,0.6845611604753982,0.5779251307391208,0.5782584850735643,0.6651647826217458,0.6707059489689092,0.5403856482497149,0.7792668055268667,0.8330498680799928,0.8199223876093895,0.8579735182450419,0.5055334937596146,0.5841213006284602,0.5985709937869211,0.619425194645815,0.8428500039656263,0.8899699652901167,1.0010854552826858,0.833875028530017,0.817618937448824,0.9839584175195133,0.8523333152290059,0.7496075988813776,0.8824438385569807,0.9916444096595672,0.7979922374384711,0.7825255793500071,0.9152494011676544,1.0144045648725506,0.783136041209132,0.7703190824673372,0.6509906582843417,0.6187537632683456,0.5971607318514142,0.6068361669865522,0.5501496665479794,0.5147027998480176,0.5137483951364152,0.5346597517722547,0.5734448406722299,0.5749124937726579,0.6487822271523545,0.866869080339877,0.7290040814395018,0.773176060504995,0.9993323891837854,1.146954045158833,1.017455850344091,0.8382784405342453,1.277660082390409,1.1797084667404343,0.814588744966491,0.6882839241865857,0.5442847000245892,0.48827982232939254,0.6954878737425594,0.6775548455611017,0.8728754942028905,0.9669488582612629,0.6790254455050295,0.5309066210176159,0.4749957646992497,0.4529459147773651,0.456805014297818,0.4880455351474491,0.7439362241427366,1.6184840990857354,0.6717791914889298,0.953030116956848,1.320054176646459,0.8898531117008842,0.8822201911153844,1.2416950203337866,1.167350837478259,1.0611865575336208,1.5475836841073725,2.7664191287952504],[1.0744870020053081,0.5589719435932484,0.3748537672759044,0.28143499320994747,0.3498998140386609,0.33685993908525874,0.31544889901215256,0.2947833094757441,0.3181104897301568,0.30678938888072244,0.3053251456955616,0.3791198356881726,0.3335751400442266,0.3583259959382069,0.41129903790482963,0.4035115348645942,0.47461975893679015,0.5463190560246884,0.667752634127045,0.6156453217951734,0.6746001187374971,0.769925519438934,0.8739222802651516,1.0314496792835894,0.8070616319435292,0.7786388289162735,0.6649670164985351,0.5206972065342818,0.4790927804394125,0.4548156315718217,0.47736665643851217,0.4305207819326302,0.506757469451097,0.505682111900519,0.44737024177313855,0.49842265231667987,0.4296375354673022,0.546566786531118,0.5660361272010918,0.5741357876249391,0.7353907893372721,0.7333236468926979,0.7265204731384127,0.7167508115949857,1.3661273303994563,1.3566673762208046,1.5171170356365147,0.9212176838654631,1.4566185843947828,1.3307526147751416,1.0578059379465572,1.59785561085417,1.3474829838106273,1.465533630284711,1.5131385779355455,0.81935137799413,1.1737981255259862,0.8414742989713502,0.9871158715210481,1.2924368450539956,1.0479798541438616,0.7254806227534516,0.5992857487317406,0.9200786311195396,0.7532329441154718,0.6832451429539246,0.7370776516236232,0.6199247616925708,0.8048940371245789,0.6941745903428959,0.8515789009065716,1.0793992685266647,0.820875246412312,0.9432364104687228,0.6409786282605292,1.0897774050644804,0.5848264630857721,0.542545041687967,0.5291658978209587,0.5472599290555553,0.5360934811187151,0.6070586822718669,1.1074604062694213,0.511156767228816,0.704890631467055,0.5296147691039186,0.5336043530867338,0.5832374082849263,0.5277781894010998,0.5387565958438428,0.5390818495871661,0.6600447250165812,0.6276843333009912,0.5135104207854851,0.48383765282386937,0.5730952889903815,0.5407517928270369,0.4824504411958368,0.4620667237753278,0.6840737231347108,0.44994226070629245,0.49854422331739034,0.42225522995042697,0.4747810293625272,0.45818883550014083,0.45698928370632685,0.502386245014661,0.4031995087480655,0.3664083442926724,0.5708632436273382,0.30850771130519256,0.33887974115066716,0.32227387562345494,0.35651791286688367,0.3815864262709351,0.4713122794447237,0.5026670694866568,0.5660334429679565,0.6410581299955893,0.6196363627933409,0.5980733489810115,0.5290230850287704,0.5746293961249164,0.43463516821215786,0.3235883842885621,0.3705049317704835,0.30453053714675715,0.3610472538629639,0.3412813370262996,0.4356730615215018,0.3930738833069474,0.3807593207970895,0.44755221986925386,0.43959706956642347,0.5012701575091081,0.5468948624366454,0.5542861023308636,0.43995936164638616,0.5101224900087451,0.5462557621252655,0.7801761658279456,0.8838599961412573,0.6660552403364308,0.535650578029812,0.5138524293677813,0.484212298767122,0.4394204339071736,0.40783825698843246,0.3461810547681694,0.3694921398181311,0.3913520016351451,0.5726639951763044,0.8650221070548416,1.6865577483256562,1.3757951860239743,0.5552197571196245,0.37441624192725714,0.3585753114443237,0.3592865772078852,0.39547594587938745,0.42232581924997625,0.46171264456364913,0.4672920898133387,0.47917003094176464,0.5409446998176687,0.6341968325523809,0.5902629176547607,0.7175307741071028,0.7434142504934786,0.7180260600564955,0.573939022954258,0.49091447131486304,0.45305396350422716,0.4243569390396485,0.40031132153915894,0.4469411005451273,0.45153969388820125,0.6097972883780256,0.45032542912937,0.4552557845302159,0.4650325125906154,0.39945400412453635,0.4568454324832673,0.4851568118636607,0.5197485007276103,0.6978262396221381,0.8283525365938434,1.2196304240269795,1.5576371845687291,1.0270384365939067,1.2008044603242292,1.4812839605165082,1.0051792833562345,0.8519446685161092,0.6649039481625476,0.7917566927670245,0.6353289117437272,0.4532357897640805,0.41540976345877545,0.39146230513176283,0.3729521093435581,0.4530078254775963,0.38859246148501175,0.4080619710222884,0.44806731540155326,0.515249601482492,0.5610170071186423,0.46388747516405404,0.5807001681755581,0.5615363321590521,0.512600361154198,0.6021495588925742,0.76718360793305,0.7274141714334986,0.6892935778078095,0.6248599533760518,0.8071044731878902,0.5849923139406905,0.5475018792220353,0.5986902604293752,0.6085499290358731,1.7498310364385,0.9046506677209205,1.1908102091008141,0.8088507250303759,0.6579641089545688,0.6137269345656683,0.5973627727328777,0.6463893569491453,0.5110486065284158,0.5246384207306928,0.5887267704254986,0.6090952975519752,0.4665260992942491,0.7311888153376124,0.7322476262166705,0.752645832292359,0.8033929746731496,0.4313045403177883,0.4991524449113616,0.5213872170252076,0.5884192296212148,0.8164103766486832,0.8797376544697428,0.9814132718088066,0.8085303558514304,0.7925705449990383,0.9658212308145865,0.8178290748469145,0.7282268440953207,0.8766388618130745,0.9883341316100684,0.7915958077941199,0.7782511794748609,0.918772647958181,1.0056241756942228,0.7889764906375107,0.7806638054487594,0.6518605442660841,0.6193605096052875,0.5765235009512716,0.5856548446790583,0.5350988697673191,0.49544577989558986,0.4815764375100054,0.5072697896024728,0.5567005655989274,0.5369310401410101,0.6007753890589378,0.81921329986429,0.7034118864439606,0.7280467012045505,0.935506933472022,1.093447585066437,1.0008369707821476,0.828245239594928,1.1981914329975216,1.0987226120234954,0.7814101588374284,0.6522487068503224,0.5211755003950143,0.4662772820220735,0.6782384030295912,0.665018592503599,0.8496358651691481,0.936216272380098,0.6667385512159417,0.501802726567171,0.40044337750930686,0.394588031795072,0.4309417335417167,0.4625430244697467,0.7579815357330839,1.635366925520962,0.6384878038972227,0.9599221247319695,1.3021909301581425,0.8559974953972388,0.8820599052965075,1.2622805649402689,1.1886872093226666,1.0207453112683753,1.496716610402596,2.627073089415308],[0.9981417741286593,0.547962755449947,0.3751052445160686,0.2887268864940866,0.3473275477868112,0.3443470753266235,0.30489642590165006,0.29109572539360057,0.34566898534580215,0.3274064971330884,0.31718456722519317,0.38576661237807375,0.3569745790043327,0.38196594181180366,0.4415358649220676,0.428741778446727,0.49642472059416026,0.5685246934815897,0.6980447325497242,0.6552446191474135,0.7283003769494468,0.8184065989380165,0.9311262872639418,1.0488870554223912,0.86931751285319,0.8191623072165688,0.7201192496590806,0.5474739935684287,0.5152924847924777,0.475132169460166,0.4929441202586769,0.4545266097473954,0.4890830701360369,0.518477772947239,0.4628757841981096,0.5250315158768116,0.46004715392750856,0.5725640740260897,0.6047816612149107,0.6350346169371517,0.7862356956977183,0.7856230345350169,0.77917414690819,0.7933464167970953,1.3929301024400795,1.4304114124622123,1.5841308430821588,0.9775057111363042,1.4712070873165262,1.459985056799616,1.1043829380487153,1.6852781002385726,1.412698944617212,1.5819016549218967,1.5054012761486388,0.8289614760870334,1.1588617026875032,0.8867327712914337,1.012898487124657,1.361882585470277,1.1012118235908794,0.7487339453562927,0.6324377332469442,0.9152897707705628,0.7920925866614885,0.7225597049214434,0.7487016190132222,0.6520600021284301,0.8242743555394568,0.7406557798921592,0.8486598649302021,1.056044442154503,0.8402661180511741,0.963365087711611,0.6663230189577252,1.057350339916344,0.6190871247763237,0.571355481030073,0.5722506047065485,0.5931366426197103,0.58227792288784,0.6342932789805105,1.0507223795835445,0.5370986266675718,0.7478724835292502,0.5485910643368427,0.5712303460642436,0.6271202682803644,0.5645465466784417,0.5809189502615183,0.5611557939250603,0.6649834899657535,0.6431895858000525,0.5173125139619256,0.48718044082272377,0.5607153718647362,0.536989607072235,0.46432570620384367,0.4382388686926152,0.6435363372204291,0.4374997409610637,0.4961972773619851,0.4273055772077747,0.4298163430437394,0.44761100811362,0.4510069894018183,0.4995107674811851,0.4203724826786743,0.37853367980079683,0.5636258631645581,0.31476187276529977,0.35243109405454254,0.33112598398512527,0.371338627346955,0.39750196914584224,0.4543848854027299,0.5172320957288179,0.570169633983102,0.6746095052887529,0.6246373177096719,0.6128465913521329,0.5458788716174796,0.5537376117692109,0.4196640877819677,0.3298826449086043,0.3731707301065049,0.3194341852315247,0.3686943905362838,0.3307375403327723,0.4355281559906945,0.41137044340080714,0.3827114454599568,0.47617656261026636,0.44620000831469336,0.5145511563546838,0.5808228864382798,0.5834902813290852,0.4679702091659419,0.5072039605213133,0.5656110552960657,0.8032612516260728,0.8917403597834371,0.6736418141442089,0.5514527108768971,0.5323942497026254,0.5081503442695899,0.45981847945585896,0.42125965565446727,0.32792130016898025,0.36766279174955757,0.37988659343382486,0.5289776551702545,0.8314570788228232,1.6409642290916842,1.3198870215739729,0.5072704560363344,0.36428789663449884,0.3293609406257778,0.3595919646677388,0.38455230844682353,0.42255310975772004,0.4673256666831781,0.48794606999994045,0.5198133096877992,0.5785502994253354,0.6768588590478073,0.6397953417513851,0.7986092301100136,0.8134642371367266,0.7642146749579432,0.6127095501575716,0.5243887045663473,0.4912205936231586,0.45542524158610803,0.4099200191718523,0.4415509164448782,0.4691223449136416,0.6013049469541031,0.46760433133781854,0.45759842622132824,0.495563520171596,0.4050304150636092,0.4707892706301747,0.5264343868041269,0.5538059898850991,0.7398087422776258,0.8846191570039753,1.258460890948802,1.6114744264788712,1.109647294433283,1.1851116365263799,1.4757989734712678,1.0576437201159092,0.9058769124542428,0.7326043377259207,0.8892140067719233,0.640340186490177,0.4663891879591745,0.4300836138663708,0.40755430593355324,0.39227912246715135,0.44383999733057466,0.3972588250507611,0.41483728730297675,0.4324039203594184,0.4999735991838868,0.5438670001870283,0.45605944869509074,0.5682730462396146,0.5700005379296431,0.49610472051867804,0.5819393831917766,0.7616054893716344,0.7249173265070531,0.6866241092912964,0.6171830999496258,0.8044384453290002,0.5835110733796545,0.5307324735957623,0.5877787585711758,0.6049642920325651,1.5867394740121015,0.8969888710275112,1.2004899328402032,0.8005291185331977,0.6355188030630368,0.5996502575967865,0.5773132809652962,0.6739949737171254,0.5229349475138391,0.5143934577402055,0.6120455186114806,0.6507048282857454,0.48296194282356325,0.7131354336264171,0.7897417227384979,0.7871041603107687,0.8420392896381221,0.45734436958563196,0.4983619789674449,0.5027846207985122,0.5561733314355983,0.7931728439561208,0.8543690242046479,0.9555206695570264,0.788074782293839,0.7721436188802807,0.9115422361320921,0.8033200481196898,0.6969546586559736,0.8348168228505024,0.963942510254472,0.7795769623102762,0.7507311016463494,0.8944065156260372,1.0080311787338523,0.756173325023377,0.7452597883419296,0.6147597917810206,0.5895580921870076,0.5522158470292168,0.5466038788745886,0.5177546676641058,0.47888830182663844,0.4718779079193466,0.5067706435028647,0.5556180877036304,0.5366843851398907,0.6219135293345999,0.8643084249550428,0.7225604498351711,0.778544296766827,1.0086503952711896,1.1433626064006723,1.0267482375356578,0.8382563042084897,1.2183100134231697,1.1066068743595943,0.8131546813611849,0.6640964107342833,0.5101438256887848,0.4439062116149481,0.6476047939613017,0.6571735528456388,0.8764141797488418,0.9563121669888857,0.6815010428485554,0.48081032532627804,0.4075904511343994,0.3836243827846308,0.4408025511685281,0.48059271605943155,0.7472705799644718,1.5756041922475317,0.6552777026293748,0.9331908522634889,1.2295825257039374,0.8223511295304855,0.8559875138560735,1.1864036082909015,1.0987185935287707,0.9612599013174912,1.3361600156105613,2.373357902264566],[1.1786277925935342,0.6238263275750042,0.379836303671682,0.3160259526389851,0.377850899504866,0.33616308475889867,0.25682059778799327,0.2658769674893469,0.30708058856819137,0.2709306275937783,0.27381825179434327,0.3429248213023215,0.282728547307186,0.3272546680656109,0.3803830817702185,0.36089253569122304,0.425063178246073,0.5212950571445777,0.6343028859882565,0.5634280594013671,0.6274123650084559,0.7108135795320857,0.8090998819757272,0.955867775817534,0.7523346891132084,0.7215716885926096,0.5950549873783847,0.4514699477536962,0.4293426600029936,0.3877891627816795,0.4531784955257471,0.3910724853186757,0.4719931723881613,0.4693716311784968,0.39828862375352586,0.45133773308508934,0.36459782539732627,0.46631579142883023,0.4767469316450265,0.48890149398034716,0.6873723888875912,0.6755628204964264,0.6488216806725974,0.6425515345380653,1.2356412010998354,1.199040469845203,1.3185125967982294,0.7762947902086075,1.5072234036466499,1.3616603149970101,0.9559823470738609,1.5680360302445433,1.2928281608096623,1.3379862899187467,1.512206143614766,0.8027837728652845,1.1451887360418784,0.7740703132078308,0.98024826579699,1.2424065125446913,1.0055054449405816,0.67836510297823,0.55408631781323,0.8770731870186036,0.7053922130421354,0.6420712141534873,0.7248280824991478,0.5990175869303851,0.7879492871378463,0.6928389000941577,0.8584692532848568,1.1216986013106844,0.830630368383865,0.9419577192715788,0.6342753737235952,1.1098175040845408,0.5431829967692869,0.5142665312526238,0.4831519249534771,0.5112669285365505,0.47669912072695175,0.5314264849387754,1.0986170106676345,0.4336743523106611,0.6200922970669889,0.4540952877989559,0.45782440032088123,0.5116007275039534,0.462620380527016,0.5147582435135039,0.5112731350569591,0.6352305057068371,0.6030378353559016,0.48648251779963625,0.4576228005520203,0.5382988808695979,0.49577600765521695,0.4400999763457964,0.4027401754451462,0.6689434479142905,0.3924876198176772,0.4890206782454197,0.3505529126177247,0.4224220728823773,0.44106174275459076,0.4207934111583671,0.5088651234141605,0.37842112747945333,0.35419770698480735,0.5450463608213103,0.28409040853309053,0.2798360683276549,0.2682488060901339,0.3203794005849845,0.3458253133932121,0.4169662216566063,0.4455048966948053,0.5121265209108911,0.5970897181877703,0.5990675496518831,0.5655735446785194,0.4906772688076086,0.5177366020191702,0.3946755359782823,0.30587374322557953,0.3319292166196578,0.2879349560034877,0.3378042932785171,0.29983952222332527,0.3919356867985771,0.3809849210124878,0.3622489876529924,0.40237682653781925,0.3938746667753884,0.44532237746814146,0.5193073955997496,0.5517234174432737,0.4123839343140842,0.46964136217256824,0.49055624873223946,0.7405245059302668,0.8148334658975314,0.6223017791583644,0.47183696668071373,0.44991865445033646,0.41636275772484643,0.37595978154515275,0.34270202130753047,0.28524943823973165,0.34445185654710764,0.3662063725801604,0.5186820585355982,0.9089041552406883,1.716606746818448,1.3240556268759969,0.5164515673935897,0.321183288640064,0.32551438492950535,0.2939458322652355,0.35274240017795366,0.36301313684869396,0.39604829341341274,0.40726767349858517,0.4080941945979732,0.4742227090814612,0.5725390709940653,0.5359336582226267,0.6959322065942715,0.7577142240901535,0.7010708342345827,0.5402340549080535,0.4451948264310859,0.4035802299552936,0.35596951000278415,0.3219818070200667,0.3706699281053186,0.38995532750802925,0.572780946861518,0.3810425547410784,0.39740342932756606,0.40563270817299374,0.3364020867612566,0.36633398426766617,0.404442583445925,0.45384751848601035,0.6326413302740999,0.7835196772531418,1.1479234184614149,1.5341714679103602,0.9763482385249467,1.1651984023127993,1.3589158484607529,0.9339581429661424,0.7887980089389196,0.5897370798476386,0.7331316400094198,0.6174012072206109,0.44992465837770496,0.4292675097610085,0.3754996475865937,0.3673945489213737,0.42647374483693834,0.36967164555539195,0.4203956067460975,0.4348950816767798,0.48922283344893674,0.5749762131113836,0.4749811304097588,0.587471851447438,0.557469729117999,0.5181906860794265,0.6125469693549799,0.7670215208191409,0.7085076565206394,0.6960049505518761,0.6626220451967438,0.8245051176173653,0.6353674150322121,0.5952588371483064,0.6285143331407623,0.6360695638360809,1.724093686511424,0.913741542505111,1.219505426084885,0.7976000129314451,0.6484020076418381,0.600413887330151,0.5834567259987458,0.6754984018043277,0.503427258709987,0.5145928288194981,0.5770684109652329,0.6615058178611478,0.48935776690137983,0.698376452207798,0.740071174981802,0.7716336182807202,0.815884314139015,0.4589728524394063,0.5129438215926603,0.49542437987377685,0.5663745950112526,0.7842780547019454,0.8777873287293515,0.9594457101721786,0.7821833697785814,0.7613723053314274,0.9430977039609106,0.7895107808839782,0.7094406860921404,0.8784482429831529,1.0073547068093378,0.8089993643360818,0.7870416670391139,0.9573688052083518,1.0379336862332602,0.801675325462366,0.8018670674275845,0.6723440266227969,0.6287937399176404,0.5670275195838365,0.558401263253094,0.5682993468139957,0.5068724514322474,0.48353427586359204,0.5377175246027861,0.5945075460029807,0.5458823196720655,0.6013510172196616,0.8639011458809173,0.7451915206609312,0.7432734058011925,0.9355867888135151,1.0763504482031998,1.0397245959031285,0.8903858213789583,1.1561014911084206,1.0480526269749582,0.8812879043181253,0.7160515625843461,0.5695219594585204,0.49761935910954447,0.7075823354986821,0.7276445553033063,0.9153080261652636,0.9870926268514059,0.7046372869764406,0.5025343367604865,0.396516275319008,0.41535602945096844,0.4394628061418434,0.5025909372246845,0.834007896653053,1.6333754495240345,0.6498485943552359,0.9978540923440858,1.274244503062508,0.8375868482767099,0.8748849022325593,1.2886168776809197,1.211151480669823,0.8737506928763982,1.3675731483487987,2.202435844561516],[1.0250173236817717,0.5990507916880797,0.39296356786830683,0.32533971561534225,0.33894068698294444,0.34154530531193866,0.2895918003925858,0.2858946289528176,0.36256745796648693,0.32989670775585267,0.3342391606460842,0.38515493176071264,0.34355128311870603,0.37798077677459424,0.42863541024507734,0.4044634196767024,0.47748295567749466,0.537523365873595,0.6345811601813042,0.5821258969262963,0.6649163036756525,0.7681990106755219,0.8642995478549533,0.9883700754023342,0.8035656379080426,0.7407112903874181,0.6404048549897803,0.4930697047563576,0.47259224070300404,0.42205809593885557,0.45045837280513157,0.4305284844371631,0.4482689541487052,0.4679079600616505,0.4290111011632322,0.47338730135178403,0.425402804204402,0.49061629613426483,0.5233643855467094,0.5610138861250289,0.7345758567537397,0.719110830148314,0.7019804900936534,0.7275378937802475,1.2270430537608095,1.235738674036713,1.346867791033195,0.8309341920931459,1.5085534873561657,1.518996739246987,1.009987389606254,1.6381732101635282,1.3661010380964718,1.4694252760547852,1.5045801118082456,0.8003627848520837,1.08465673696266,0.8135153222875636,1.0160677387933368,1.2755248563406902,1.0422558287615717,0.6982964107048608,0.5835915488696084,0.8245003668819061,0.7270515096064907,0.6640949646489529,0.7124295393268253,0.5775601765369169,0.7669885700375512,0.6788928796806116,0.8251319284949999,1.0453879068358558,0.7921350371535043,0.8983524102219117,0.6207212805386799,1.022535323841475,0.5352920423377704,0.4991899583167826,0.4983041254724764,0.5229976972309266,0.5054149051176287,0.5672173471671054,1.0666264617175905,0.46670885781192256,0.6595958013103242,0.496645724452681,0.49643780475324734,0.5713954899322419,0.4860591507414712,0.5331978677472765,0.5055536549155596,0.6134442651491673,0.5831982521987731,0.47912206140277014,0.46281340109070584,0.5199502054065134,0.5134015823179379,0.43614494360427275,0.40970768393088314,0.6355648566404712,0.4034076477629328,0.5418862704916388,0.3739390243883336,0.39707827353573216,0.45682814373162633,0.4327457193149756,0.5186040600306868,0.3888059456788493,0.36035013718618525,0.5444405285238222,0.27949335009741233,0.29724469228397826,0.29660595621845126,0.32603058846557925,0.36960409274921563,0.4210092631093927,0.49787861367876857,0.526886819188717,0.6477100441328705,0.5931420350739836,0.583626462308262,0.5197860755330588,0.5269386128212651,0.3992482095212592,0.30227558436594115,0.3499822043134959,0.27732411945926766,0.3211164999910053,0.290714547191318,0.3702237394097427,0.3746348414989774,0.35293355790992903,0.42275317270371127,0.37825259972746555,0.4519630317816809,0.5510265841836139,0.5775342529824736,0.4455970692461177,0.4855722214315079,0.5168402315711934,0.7671690809763465,0.7998865045488854,0.6207815858878712,0.49067290904168365,0.4716295251282779,0.452205527327731,0.40483560548628456,0.38363746965679224,0.29142185141993676,0.3551564295448594,0.35013580829323887,0.5039915380785656,0.8877840392258489,1.6436174283892042,1.2408404479609987,0.4955030737706754,0.34714914647782646,0.3168626333802593,0.3368460261679724,0.3430280680876948,0.3687625078057407,0.4020253371662378,0.4497026110281805,0.4857580349291556,0.5410892157947214,0.6468351399071641,0.5910918704849298,0.8087198803969723,0.8606870135474749,0.7793857240088455,0.5789287286599983,0.4861634142152309,0.43464511944471357,0.39880571086712097,0.347339929480361,0.3783075778256695,0.4263104597522221,0.5848149093864017,0.3982437905243181,0.4134609768050905,0.4179298522747869,0.33712678316958733,0.37392725078722466,0.45220239070791896,0.5029840677563455,0.6785874922616353,0.8525850728648762,1.1617651786699223,1.6307130755525283,1.0865146061535327,1.1301500334468861,1.3705297384018877,0.9877537443715722,0.8384247168526171,0.6859493193225217,0.8738545896750313,0.634284318328231,0.44297381763223975,0.4448293685059785,0.3647908955542902,0.3831549067832858,0.4102510463621869,0.36798162636911746,0.426764188224938,0.4483028792353132,0.5113800785183699,0.5748439022992533,0.4875632079775341,0.604899490154803,0.6100852121583312,0.547871345236142,0.651315831571943,0.8233836855031494,0.7646934244707628,0.7491626765932935,0.6983676867847197,0.8798123039148025,0.6647275102237046,0.6198062217454283,0.6554170511381968,0.6804511464225048,1.5742565411128044,0.9140684237053832,1.1765189165396555,0.7643014913008255,0.626381228098859,0.6162315608259081,0.5906880077988139,0.7508353794472511,0.5398530460422555,0.5270642975657455,0.6232893951812866,0.7012479050291667,0.5208700895230453,0.7086234371519496,0.8477434057648592,0.8295242068748483,0.8720160936706036,0.4872761950814978,0.4978518453026574,0.4734819835840853,0.543512137397531,0.7454341122422493,0.821334715298452,0.8851808006763505,0.7393459214958729,0.7207735065584379,0.8497326819809369,0.749650194614089,0.6791419456543314,0.8352907556621016,0.982514995838804,0.8047247399249895,0.7784641962850801,0.9377985939300394,1.062740064837559,0.8109534431873563,0.8072117839055646,0.6865939540679018,0.6232574758487108,0.5551736415399545,0.5472477788526079,0.5870518415817263,0.5173256841693038,0.48810058563463005,0.5730330268687368,0.620649383399709,0.5709554881797811,0.6662861195611353,0.9453737504764348,0.7941071406704512,0.8103248684056376,0.9928657256494834,1.1284105619893257,1.071649100837968,0.9225828764723257,1.176122043968962,1.0762824627762686,0.9023849729988341,0.7343269093427908,0.5829326966528825,0.5231707801116598,0.6893933077931309,0.7247465566960215,0.9358282161455034,1.0077413600590908,0.7400742198880924,0.46880878628202927,0.3911507548396718,0.39753785771504946,0.4424321486239026,0.4997485473606821,0.764760647166056,1.4972014640441815,0.6332868057532337,0.9205818620181594,1.1405708490244368,0.7973476620448321,0.7903021053135005,1.1367857113313107,1.0775612148741727,0.9306704627402318,1.2656511102916772,1.9943743327903058],[1.0832873445012468,0.5469804199505011,0.36879843093291886,0.2962323251832493,0.3777774595253079,0.41482245425793995,0.35820863815506493,0.38927120375626745,0.4355298988493802,0.3909042864599232,0.40846369165380125,0.4596221716082985,0.4100399654204857,0.4044513324743311,0.4614254381554137,0.42573328413988437,0.43472672127891876,0.4874987642062681,0.5390906342541332,0.5025228893703103,0.5494665143241788,0.6819643419287567,0.7532288023655329,0.8605106606245665,0.697349573939259,0.6418799300471824,0.5503029975932124,0.4226592895719035,0.41816785456451,0.4056941814170955,0.4662741476191833,0.4584766249748709,0.4988613619385667,0.48022325571884145,0.43787320774963234,0.44752833593770264,0.406815073961131,0.44593434802956344,0.4431429489893536,0.4781761009492363,0.7037140992501241,0.6464685538256678,0.6193321556304117,0.6298291591645536,1.0203322889110469,1.0648598334238326,1.0594305027131785,0.6456904956196962,1.6142791644967773,1.5894721714081406,0.8949735525718363,1.564991422306818,1.2877434202556786,1.2649080262683077,1.5715409575839234,0.8706083270024129,1.1138294544539038,0.7495805134673502,1.0165839844536453,1.209292996550631,0.9392485167761222,0.6233481025430243,0.5203888341680233,0.7511173414963017,0.629082190470083,0.5803285502678095,0.6380592815228684,0.5166382683714474,0.7033209322090128,0.6560756248785422,0.8303513356861228,1.0791466778541345,0.8044657947841715,0.8612539507256383,0.6113974465805039,1.0220196670126998,0.5118996201379797,0.47471805704605263,0.4680835723809557,0.4989149813077767,0.4839628604549876,0.5296746825459291,1.0642203622245763,0.42720126624574994,0.5821316383843904,0.47480111573879646,0.45628587064660403,0.5353339787390231,0.43753893302169306,0.5514568665229301,0.49628473321484406,0.6131902895999299,0.5794083960115319,0.5017609602243822,0.49492665563215976,0.5623773931910842,0.5670556768648031,0.5212058457026345,0.5160006826503912,0.7259795489133055,0.4748628362978018,0.6210496791001585,0.42662693933834367,0.4785644748865547,0.5243834231158563,0.4569949405778823,0.6035566075042295,0.4043906442683108,0.3966998313757379,0.5996022264531559,0.3429440367766156,0.3351948766771548,0.3446406356643852,0.33408334721557864,0.36513293718809703,0.3729939877838219,0.45205312802754444,0.41371510140581946,0.5116219608206102,0.5338205046878142,0.5029542844968333,0.4696195707557619,0.4185493428593254,0.3486210949703553,0.335369645109703,0.39784316367003514,0.33863684778518616,0.35036948907533005,0.30411995106859596,0.3354241867012628,0.35812949244134057,0.38255523662387564,0.3375477348217138,0.36719941736280215,0.36521637261704004,0.45719773514063383,0.4953821501063281,0.370084022885434,0.38758443567407524,0.37911209188358613,0.611278981620788,0.6270833436676355,0.49026146953657107,0.3907097849723441,0.43945719384027027,0.4056427391560049,0.37315549551223043,0.3911400131402667,0.35044612965291244,0.4393376407595022,0.42528901754721105,0.5692749517964524,0.9910018677701591,1.6230945621111723,1.2070960649500124,0.5860939782349457,0.4316940857129353,0.40870159803458994,0.407391459438511,0.4265026182736128,0.36146810304244165,0.38833468041620195,0.3688441864530516,0.39989879625786856,0.40844037578201453,0.5483363637943264,0.4801997579614138,0.7029104260287723,0.8121530417808912,0.6994274058994493,0.49977360631299,0.37591447219785695,0.34566089243590886,0.34630358175340675,0.35284407431070536,0.40556492598765165,0.44370703165958686,0.6192433985342106,0.38185121835977287,0.40637809298195743,0.39601071895799816,0.34125228241154143,0.344153701063165,0.39417186726240233,0.45256682399141124,0.6361687615301417,0.8268210444236411,1.0953638142313606,1.6043614302375697,0.9888470057912736,1.0551326669834782,1.1661230120369055,0.814066768839958,0.6981347482606018,0.552482279605561,0.7868850376981781,0.6209046511505562,0.4438274329474876,0.4691693738506785,0.39452611321343495,0.415063948515336,0.4409666163003709,0.3950021311604176,0.467810385233526,0.4711169570208078,0.49616174845925226,0.6274400628045161,0.5247980981578787,0.5953701937268704,0.5926251285478709,0.5526489236616483,0.6533371937357956,0.8061704934491534,0.7385252753811603,0.750123821527401,0.7162236039834281,0.88100616004732,0.7010989870941404,0.6593535335888717,0.6806259079544338,0.7260774526075617,1.6255505411291968,0.9488702799956352,1.1730227153554358,0.7571721287363405,0.6583381091137587,0.6488889122750289,0.6117573743775114,0.7974853118683446,0.5627122504076878,0.5558418741523306,0.6340350536240053,0.730286703803292,0.5432574620435223,0.6744806532493809,0.8304338906656208,0.8511371670263639,0.8658936841948587,0.5242700674350258,0.5173926468237933,0.4812374933560063,0.5736273902779876,0.7594818270736198,0.8908232434014383,0.9186165386105507,0.7835696723391353,0.7332207101133554,0.8638063544555531,0.786536197994919,0.6884650272187881,0.8420766704815268,0.9983085439292712,0.8038480420742324,0.7689491255483688,0.9412176443864382,1.0698014157473503,0.8012135269748589,0.8089681429845518,0.6800998928242888,0.6319417123237093,0.5762121298992688,0.5670536083461448,0.6067304451169018,0.5456614450568728,0.5282638452060516,0.600068313388222,0.641633278885656,0.6045035977268877,0.6834572049107077,0.9547691002178642,0.8202324242518363,0.8450007780904119,0.9765865982586162,1.098923216888665,1.0923877529363497,0.9945911933147936,1.1421989342100205,1.0340316936466036,0.9928621532119234,0.7663630058006983,0.6214398541579033,0.5481658620763603,0.7547460380495916,0.7999584954138261,0.9835866985353406,1.036045132336226,0.7941379127618793,0.5026658120347599,0.42144291940228396,0.4749977230093769,0.44078353587995767,0.526910813899952,0.7971330743081021,1.3942492591489526,0.602330333213694,0.8968996560674528,1.069012306276418,0.747401066222352,0.7014223089365221,1.0950213681456678,1.0919957624216607,1.0220411438952912,1.4684353288018313,1.8758333451070164],[1.215616039539738,0.5139536641546876,0.3656192260691748,0.3086952032629071,0.4114610005888237,0.33091340344789605,0.2678853935382176,0.3537080305898686,0.3516780046419115,0.31201567737528174,0.3212584427639808,0.3768983812873453,0.3185284756765169,0.3314602919816878,0.4256828400940653,0.36862562786637726,0.3950984110301082,0.4500444608605626,0.5210869913608498,0.4605229046344446,0.5018677506368718,0.6242648275519784,0.6809465224866909,0.827658478834168,0.6288799725138707,0.5953610890796923,0.48117982308632545,0.3927892794949191,0.3748836605205628,0.3576032008213116,0.4503049131371821,0.4157765318294645,0.49585421034615557,0.456818784485754,0.4171528171791778,0.3988165496399807,0.35395032290158823,0.3705572491737382,0.37745200813456825,0.3984813649105655,0.6347634595496516,0.564575305952837,0.5461049087409436,0.567577095935592,0.9711800669633726,0.9633309461803106,0.9458748680935617,0.5807763196110772,1.6735218946888164,1.5389522651544245,0.9160378289030353,1.590346439821853,1.2763920369516664,1.1949777877906276,1.5819557892553,0.8732377567975743,1.1310255491762216,0.7048082263313111,1.0016433392519029,1.0948442137778052,0.8836606851370451,0.6129998437693237,0.511575216776187,0.7722123166830845,0.5924431740294687,0.5491678788185016,0.6748607544919598,0.5263097825645403,0.722950030869783,0.6321247341584817,0.8782949585555421,1.1675781803032523,0.8093541225789355,0.882640052249264,0.5612703240519152,0.9967830736397836,0.4571236879929116,0.4501610229944719,0.42357757616087405,0.43662792463162897,0.40883191606978403,0.4814515560080202,1.1552488868707869,0.41845562318248486,0.5047529050873958,0.4235843747892629,0.39983381442890775,0.4783954486747542,0.39594524915869733,0.4924153306162579,0.4605862871472347,0.6116457160952078,0.5715725918178209,0.5015604220902495,0.4830317357953103,0.5570376874269277,0.5614463367152563,0.4804216562532046,0.4592320691110447,0.7313119245293919,0.45179591264108127,0.6196635599445529,0.40712682432548797,0.47844675347727006,0.5276997930225417,0.4945133423838372,0.6647879736588143,0.3810737086099749,0.3889847616703533,0.5829959863861015,0.333994721417097,0.2965224488172262,0.2708796700511905,0.35623087174736495,0.34827758368573103,0.36510890889173264,0.41882125158032174,0.43090454530682093,0.5133427803170244,0.5496959176074682,0.4933000306284968,0.4408147246885869,0.42740886302540393,0.3430921317661664,0.3289285453093834,0.3749692311318492,0.3076766133478875,0.33984413321170687,0.3031906320350249,0.35370718658892103,0.3354593176023423,0.3838438585111182,0.3248673465669341,0.4221276834640429,0.3589073797880116,0.4448355239797224,0.48552997234579187,0.38189356791955537,0.4431038970064558,0.4083492328734828,0.6415748354941316,0.6398417105900046,0.5165654601209624,0.41256686635456513,0.39536305784340536,0.36819067779841036,0.33039148821166925,0.33967919121064605,0.328321793675562,0.37741947218156696,0.4020783184481515,0.48875589515604356,0.99047669541152,1.6607395804611944,1.1959050207860442,0.567770756484164,0.38661895453085,0.3834805943036248,0.3619678640737285,0.4073457634538794,0.3561225074193828,0.3545314613083896,0.3554047827951181,0.3580296901376669,0.4342738381457491,0.5218433298047858,0.4532314010570384,0.6544338595708034,0.7771486353657004,0.6860175134448881,0.48249209808861193,0.36957501159602046,0.34944808819123996,0.3363546110754672,0.32316445592516796,0.38791436712119187,0.4067442104087429,0.6607407021106977,0.37392652054020764,0.3901541310236479,0.38644575815957405,0.3631458697879332,0.3624725028647868,0.3763561054834098,0.4136141280916414,0.5721008699083073,0.7272724423804429,1.024140958121261,1.4965618122655302,0.8690078155711667,1.0811033026641323,1.1112570496170457,0.7674205447159006,0.6513727479680805,0.4695592781648191,0.6664674190712518,0.6265585588083379,0.43220916389425623,0.4699556532014805,0.4257875035176485,0.4546761934655216,0.5067452394834525,0.44448063447357977,0.5215413053830426,0.5479706782456213,0.5752308387294857,0.6827477032929662,0.5994976656817833,0.7039827264484942,0.664135300804558,0.6507440523142338,0.7648040417232583,0.8798673275065947,0.8101322722588407,0.85688766017099,0.8098837093787795,0.9403882041380581,0.7966472666431184,0.7566100683612893,0.7940611437191577,0.8167753233322801,1.8288057516216332,1.0000575917527308,1.2619074038773725,0.8152710150062691,0.7384849702931909,0.7217909449181154,0.6616704156058315,0.8087080578979831,0.5845235754187497,0.5938224822759759,0.6048830150725287,0.7310251206149659,0.553810347355814,0.6986838316415956,0.7958699445493221,0.831813587921946,0.8504390573592117,0.5455363948874636,0.5283481376772655,0.5199145626932055,0.6590823555188651,0.8298439247611864,0.9919914607870776,1.0095502441723236,0.8537162379150813,0.8107977842017584,0.9520705116542982,0.8463686505047381,0.790280964481194,0.9720900167597702,1.11045112368066,0.8942565489061514,0.8784265311476752,1.0689305987107072,1.1458856504741277,0.9066528340107547,0.9331393345708748,0.8010552257815866,0.7631614766631746,0.6940751619507808,0.6697060882720065,0.6973200812515206,0.6397305760960643,0.626851337184168,0.6632911618976972,0.7057543832806644,0.6547928259943947,0.7090410015778894,0.9612127544466836,0.8567082428825266,0.8392970993268835,0.9680163769664573,1.1021948453578605,1.1161282709846925,1.0444283874223383,1.1442480386637288,1.049303490523672,1.1104868813402302,0.8450494651117673,0.7174439911023436,0.6613376266552896,0.8535659413839287,0.9029366900887192,1.0367170222129396,1.071098419990414,0.8431086927886365,0.5536593774242491,0.4465519575464504,0.4847736444481841,0.4621744293474621,0.5473809901351963,0.8744120617290193,1.520260669178349,0.5767805513432527,0.9266824178156259,1.0932607827877072,0.7397480858713804,0.7016061422463915,1.1541257288288098,1.1961640782431082,0.9019733457924033,1.6586583351078679,2.0881351266743686],[1.2196999065640355,0.4859978177726878,0.3606563296932609,0.316476819973672,0.47477752699306225,0.3958681161187896,0.35238865630774874,0.4127126114322977,0.3662238693432883,0.3148582939083,0.33734301277606077,0.41207173824198334,0.34759304737379976,0.3255227646594791,0.4179716568538464,0.37926904809690726,0.39649276799022526,0.42707201476818046,0.47446561923122266,0.4354024908105985,0.46747038740330554,0.6407101856231829,0.6473480795555178,0.7592810734917278,0.6100186595413508,0.5759908631589439,0.4585419857310694,0.3971571415145163,0.37491522360748575,0.3797884825857642,0.42839029439909054,0.4185568408241996,0.4996823110094731,0.4457000022757609,0.4152516762357263,0.4020519757485089,0.38695603889265523,0.39042800319873755,0.36720175888870504,0.3864905740888036,0.7015014526959217,0.5682289184981735,0.5250656641692076,0.6372787314127596,0.8561999667901125,1.0676670981386671,0.9165761029028738,0.6569590175661001,1.8784467188547578,1.8335598315793733,0.9950585103243365,1.6550150819955953,1.2637729130141209,1.1265777577575846,1.6274301384157552,0.9774155955987959,1.1650539436637286,0.637324959188585,1.006630056690155,1.0777735875266774,0.8108819074643133,0.5793442519139067,0.4694314177713078,0.6987508668311837,0.5533268099529064,0.5127897941707077,0.6494266011506418,0.49622717408773437,0.6543375313838391,0.5949167282339066,0.8484527382320185,1.1259722353968484,0.7546337615683597,0.787660946722816,0.5336822300854226,0.9533598266012304,0.444686325414623,0.4298388133527789,0.4035110326126054,0.4182724579615545,0.43156526797461603,0.4912522384214952,1.1520644034700256,0.45983322064424814,0.4936325557389544,0.4299232530185063,0.40891203696449724,0.46357577997427235,0.3822718014880808,0.4870699567031512,0.4422856028590436,0.5501453388771046,0.5137101917397268,0.4501804097488995,0.43984531578482994,0.5014107796361291,0.5281205445321855,0.4728439314999271,0.46869072874243606,0.6960362607762787,0.4740177205605205,0.6789453941606005,0.44867943263498333,0.5446386407555831,0.6010227343921468,0.5460530470903943,0.7510149296108178,0.4769912611120495,0.48462892404280333,0.6478109331007601,0.4217005784335568,0.37796180026888226,0.3625043944023738,0.4132644456629782,0.3592535385196145,0.383626898816307,0.43257049715493295,0.39761872759945605,0.4519999453253391,0.5066289897116181,0.4379285849346057,0.4124669503194326,0.3981655426552965,0.365227048846201,0.3894520831841524,0.473504171120526,0.3847808300799232,0.39946026445165045,0.365162034309649,0.3992834376574912,0.41161182759079934,0.47326875215102265,0.39064804630336614,0.4819456037683823,0.4016877809161754,0.4506265510306334,0.48859689458199046,0.420810898497792,0.44562683076687093,0.38521005396979596,0.5766629113703329,0.5547957745511863,0.42899284578041974,0.37950064212666496,0.4492736386549426,0.38844308592838334,0.3543562875247416,0.3795510849801005,0.3808720146818278,0.4234810378405763,0.4711666547857521,0.5081237974046129,0.9964757010178125,1.548280216705997,1.0506565876589156,0.5747899581157563,0.4386066521948341,0.44256062751149094,0.3966348448041405,0.47277220031636863,0.4098934409139037,0.37369142552866463,0.34906600065612775,0.37023354462184416,0.43083166479723717,0.5086405285363612,0.4525761035816955,0.658570336599854,0.7996502120763003,0.6848803947903559,0.4874705307727165,0.3655487263993458,0.3713129788812337,0.39957980285243966,0.4021794199495472,0.43742923729035055,0.45139316049082595,0.7125565079552677,0.42355066318963086,0.4355216420109989,0.4615160103042209,0.426108449529981,0.4257050749488301,0.45721512107114504,0.4800004290040188,0.6056245921904636,0.753606080753078,0.9852974059706967,1.5247752571193434,0.8795236760025359,1.0132403122465958,1.0227270149143763,0.6910659099895323,0.6177722867374988,0.4806502523334488,0.6690406947225144,0.6539433841446766,0.5043979202001055,0.5366435127360821,0.4864348779963496,0.5132670130328535,0.5439464947101813,0.4946786319538198,0.5728667205303768,0.5859108670962017,0.598141619537375,0.7380404444932743,0.6389792790666585,0.7160846759973362,0.6766697798468757,0.6732400505698287,0.7766743276825988,0.8819946257794676,0.8102976770772989,0.8624865747772851,0.8358222684177646,0.9503641295331107,0.835312978992436,0.7927657864314477,0.8176978148500414,0.844944543459956,1.8370660263140781,1.0228570198879618,1.2637211202006247,0.8296120085151609,0.7634206998423334,0.7490831747040043,0.7080709365231912,0.8577782856926081,0.6372700379165371,0.6416459014035387,0.6688687778174911,0.79907855014517,0.6242118191313983,0.7310063105409926,0.8230280119215678,0.8748130141169674,0.8894395802395665,0.6255181655301669,0.5924319889834284,0.5646613326314526,0.671207599037268,0.8147667183891848,1.0049568631134285,0.9992539801965833,0.8577815782097802,0.7985380625395648,0.9034792779968458,0.83601593370012,0.7925634405465134,0.9684771808480576,1.1092025015737794,0.9037008218563561,0.8845105174921563,1.0654538931215338,1.156069129398256,0.9075053912920978,0.9328033470435518,0.8071786053830583,0.7727652464911494,0.7087734053507326,0.6875415611704139,0.7156540841774899,0.668492630068477,0.6654304773535974,0.6980809220424291,0.7367605545205435,0.6960321897892383,0.747072165049841,0.9714286156997223,0.8985433423562799,0.8882782372078052,0.9913850570321588,1.1116469279486307,1.1552326702712326,1.1027134464317327,1.1472450189027164,1.0595253813576009,1.1676974554672372,0.9015014589159096,0.7815279592746123,0.7328773746682109,0.9358627514638812,0.9890916437997974,1.0873096724978784,1.107036901844226,0.9223822532888805,0.5997559652976462,0.5099309143631009,0.5372793038576433,0.4960986273309328,0.5782351848810369,0.8596252001739757,1.3943827556283532,0.5588593360144265,0.8545904860208346,0.9141614231067455,0.6102376221344342,0.6109216223300606,1.0329216284595857,1.0912264281130184,1.1124704896117945,1.862296754720021,2.0666854982863527],[1.235893110477624,0.5166890062063166,0.40868260398496353,0.34483377780176483,0.5208023503579097,0.4622923475409444,0.40977074681180775,0.48390838350665816,0.4099650204890396,0.36115906856111696,0.37759674324694636,0.4688434227509143,0.3902217506707067,0.3598131538728161,0.45904009842615767,0.42704547573247037,0.43372035955766397,0.46766755587857645,0.5216376543388168,0.481763814585841,0.5152078230123504,0.6864983383373044,0.6890411367236126,0.8255520699751652,0.6538732524215388,0.6208105522169863,0.5020065783488444,0.427591503701684,0.40494047477902406,0.43410384475500574,0.4775476924553394,0.47824381406190847,0.5731429147190258,0.5068979719411918,0.4661384679476016,0.448085885185693,0.43858903339755534,0.43560200814728905,0.41075840466249236,0.4289128715507531,0.7291490913025453,0.6088963085956578,0.5683984533230242,0.6594094256637559,0.8810478812573392,1.0280381401934642,0.9038689958992401,0.6601384895704816,1.851000881871391,1.7814188550787624,0.9955850370992291,1.6548045158016402,1.2621453586677989,1.1269762966941081,1.6430533093732977,0.9880414949939053,1.1867049464088526,0.6589087556032179,1.0033931592002734,1.1135504460893448,0.8173767897149053,0.6024223292015736,0.5069001565714919,0.7702392365531583,0.593417979716406,0.5545617696238131,0.676288576154419,0.5475612792922137,0.7147511470857015,0.6356315449292428,0.8709427252462727,1.1686124766203088,0.7897835927159691,0.8553031700677,0.5767102965610459,1.0267487515853764,0.4905531435995231,0.49355643242877734,0.454515852394005,0.4504978776513188,0.478062037716764,0.5260948864074222,1.1479544484069295,0.5053034299790066,0.5419885505819206,0.46685031991026704,0.4602528369364004,0.5021946893853421,0.42427086403740816,0.523770957210104,0.5010734686280734,0.6036154784505852,0.573883792837549,0.5201098684132073,0.5004368685994778,0.5656780985882071,0.5788435342616756,0.5460903419231709,0.5347451698600054,0.7567274265848234,0.5462628635996934,0.7321737385421797,0.5109850671280954,0.6075753984492958,0.6312409216091895,0.5917562582681587,0.7802641917155622,0.5414033120030596,0.5440786004471971,0.6880452627892684,0.484069170909918,0.4259213100412631,0.41497437249984986,0.4329024534716168,0.39589820802893344,0.40123952981643657,0.4438268247636988,0.42097722387740955,0.48919807096208795,0.5410870277872876,0.47059887935644246,0.42833143436720417,0.4236282994917255,0.378895933770225,0.40964975019882194,0.482100399937945,0.4331608673721275,0.44495286432387354,0.415257606665604,0.44417467653799575,0.4576238681474588,0.5123501626831919,0.4367628989051184,0.517444740125496,0.43924149984057936,0.48174900142988686,0.5198189999862675,0.43257008875871206,0.4309432022318035,0.3913510482778163,0.5979608742755579,0.5917081705503301,0.4567060723167179,0.402422650501281,0.4833071997251756,0.4332799922098322,0.39231321268287317,0.41928173125454643,0.4339118373586516,0.4906684547352302,0.5383653202039859,0.5855979796607241,1.0730074597519705,1.570861134286152,1.1062329495895376,0.6497565942355052,0.5098080978019794,0.5143899276409339,0.46390369501849416,0.5305423468202246,0.4505055493508821,0.4243734825034688,0.36783586746292607,0.40301698675397707,0.43191432750068887,0.5323731398691609,0.48374136530203604,0.6984843704977054,0.8436000275207076,0.7167813750810288,0.5157636207655222,0.39052368651244335,0.3944274953071079,0.4384676379855996,0.45139112328583536,0.48901732369813355,0.4893607738746609,0.7238477047348201,0.47573462873434513,0.47529523175638944,0.5085801577803979,0.4883650443024176,0.4792436615402822,0.5142408966755985,0.5290380517616557,0.6597213178457288,0.7971959528525703,1.0294791236861078,1.542334084654288,0.9158352338541372,0.9954448469680734,1.0791114983750438,0.7306035837301478,0.6582755405705778,0.5342854473563325,0.7314330178418063,0.6961373463426893,0.5585966475035,0.6011157274624148,0.5442419208020375,0.5920520043036116,0.6154205608834077,0.5609510370064396,0.6457694922308547,0.6509223881352666,0.6485306847942798,0.8015379638953214,0.7120571560728896,0.7762328030534055,0.7291967259898259,0.736017293495419,0.8357954980256803,0.9084299472851454,0.8353608479836154,0.9257370989244108,0.9163262058750087,1.009138079419826,0.9553193221130083,0.8757639554595807,0.9001082550915451,0.9307571078419338,1.815473198748565,1.0747013600556674,1.294825244106228,0.8764778240735009,0.8341931457323586,0.8300786833862852,0.7950707629961384,0.9606477138798236,0.7177284513819607,0.7011588161491165,0.7341512129647773,0.8527200237682472,0.6802967869815806,0.7716250504484278,0.8863367727956081,0.9494820729528897,0.9489180480958949,0.6978405342206191,0.6572050416558882,0.6248087149086653,0.7333628661950351,0.8694139602017437,1.0747503902478062,1.0626896131723054,0.9242606371467456,0.8421098997522739,0.9577289082617139,0.8938176670862388,0.8355056461868173,1.0183788759844523,1.155511368759795,0.9408920694061848,0.9414279358760704,1.138160918321946,1.2029549941354565,0.965074413991295,1.0027080653071652,0.8736434090763665,0.8443262234382424,0.7735873891763226,0.7491664427722532,0.8088174758560716,0.7466274106125625,0.7367071090458839,0.7923106479296378,0.8310706901127034,0.7776812551471048,0.8399819543934433,1.085767661180227,0.9920679513656773,0.9720564022495419,1.0824260089930822,1.2097631177676282,1.2412716582499375,1.1962192549626873,1.232964429986379,1.1459932359340077,1.296070722275586,0.9936636584207779,0.872779768847921,0.840934954222269,0.9982760945013431,1.0478964778455742,1.1494570820155596,1.148029649136136,0.9818286248497309,0.6413149984384141,0.5629149380139433,0.5733353341214841,0.5471325981184368,0.6076271881382985,0.8773645790881699,1.3972601328612813,0.5846567920386145,0.8305132059185529,0.9016574109521936,0.6675727056205791,0.6248373544499598,0.9904856954246409,1.1806147394342044,1.3124983722951284,2.2574597690581544,2.713611244239017],[1.185152962090745,0.5825827575499191,0.48532049266465443,0.3433656106929699,0.5431204184444995,0.4829963104180396,0.4329186604102425,0.4838447079553355,0.4389333449802663,0.3656870514965513,0.39915061696011206,0.49012580502267855,0.4046691433025454,0.3699531660361235,0.44470399056435805,0.4308700387012283,0.4203261059597579,0.44802877497465715,0.48458341931997384,0.45171502570304933,0.4839448642988727,0.6432371893288493,0.6531762083022811,0.7806292208591991,0.6248993030113538,0.5767716064867441,0.46134891697711744,0.4060040521462282,0.3931351824924458,0.4262080078079789,0.47538815153029795,0.48686176476120296,0.5776352903984002,0.49856236048682223,0.47486606743454296,0.4438633034864119,0.4272075584144974,0.422121792476647,0.39208730980000195,0.4119699698397274,0.7150144822566721,0.5687564836002679,0.5496453055350025,0.6322981814417504,0.8663752020078678,1.1025011894080183,0.9591904099431292,0.6686596443378585,1.8262613639655583,1.8700912300932628,0.9898448253486155,1.6588572154588352,1.326035030118764,1.2057254605425056,1.6562367906342004,1.0349515875819484,1.2134585322245706,0.6683748714997317,1.0014330388778376,1.1262686449266424,0.8732485229226382,0.6353522069770376,0.5258728767025223,0.7407807212194882,0.5729123368306933,0.5488972540523365,0.6595191379972732,0.5096069549763736,0.6644078085251204,0.6153843946217655,0.8613394348415565,1.127706719545471,0.7761699848566119,0.7993296508878908,0.5682118660122677,0.9705501247709742,0.4780229281761579,0.4696362895436011,0.4464431935534783,0.4778702284695588,0.4853961265119081,0.5332561137109298,1.1393853229919202,0.5298463354559276,0.5007406570753858,0.4688594421398315,0.44006179637586695,0.48760384251250327,0.42783102685251784,0.5279172389094741,0.4887388858449077,0.5906723916841384,0.5533977645723557,0.5116013243756693,0.5004438281844855,0.5734449738278025,0.5842639715978485,0.5571418995951822,0.5594934912772986,0.7878853926217637,0.5543603486267767,0.7552838051419812,0.5298821994664431,0.5993795595385514,0.6794191189476513,0.6053047449128839,0.8336091362625174,0.5548405717241658,0.5586425086430362,0.717810129391714,0.49737654866983505,0.44678679303093227,0.4229923207244922,0.4371838081857986,0.38106297786350596,0.3933934702282877,0.45938669917391667,0.4095439315048504,0.47105917393666963,0.5166875194844625,0.4663583454792956,0.43921516368886354,0.41830318922961335,0.38823492887470623,0.4130973005385926,0.49190312060544206,0.4396334273076292,0.44384790160949994,0.43152781676626717,0.4628071735702682,0.4789953048579289,0.5552703809577801,0.46257434027835226,0.5015267756434544,0.43949123959666975,0.4847515026128395,0.5291136526821103,0.42822879333920505,0.42508352764588797,0.3738655734648779,0.5538385716123364,0.5647949129655441,0.4240857976963906,0.3758643593723806,0.46708675671400174,0.40729802885514826,0.37319710482587426,0.419335625651022,0.43535779865251006,0.4776593246026562,0.5344259332563909,0.5649704296491453,0.9875839859826211,1.5032538989113817,1.0515165410030327,0.6466034498623918,0.534633878518984,0.5170355396105628,0.47260768063762776,0.5334394440156812,0.4578402936882084,0.4225168325001449,0.363248471609412,0.38259498481302967,0.46555537389031815,0.5270920666880843,0.512235595548329,0.7625891099248335,0.9065367197561867,0.7570820602964407,0.5426947439972709,0.40409680776820034,0.40648324775075484,0.4320316862772378,0.456325971297912,0.5152585759706932,0.5072012631946132,0.7597743621918965,0.48891088362066587,0.500897154047508,0.5004928761166034,0.47519757247474653,0.4658794829597267,0.5171261395570377,0.5278390310624768,0.6293869319322479,0.7643365929380039,0.966284060370498,1.530172780838626,0.9002509116498604,0.9802000011929064,0.9813760601358129,0.723790341768927,0.6675977540440085,0.5460634744221011,0.7463606257405458,0.6777403832660607,0.5945808391764789,0.6290451118109115,0.5608835563309388,0.6267674935763832,0.6359571347815649,0.578972648278726,0.6594312960682314,0.6754281612871883,0.6703452000259184,0.7705870891677259,0.738904989526874,0.7864018355476511,0.7401288228984435,0.7539314271309014,0.863808172109622,0.9365063823911921,0.8572946328893591,0.9464871991620808,0.9407736571560544,1.0737439136647902,0.9981326617423822,0.9023010915595716,0.919555359029252,0.9449931543917356,1.7013053639690343,1.1013306827683746,1.2973207692820405,0.9032934790215474,0.8537445153040764,0.8491406773763766,0.8304477116187022,1.0300783718394821,0.7681375902338192,0.7424561505013225,0.8263356206711329,0.934352271472932,0.7462495861100952,0.7849788748237245,0.9557577594979937,0.9855309345669195,0.9503956864789831,0.7283491829622178,0.7089788974649418,0.657456640993194,0.7293148580298938,0.8316643265679976,1.039738793966421,1.0177690253182232,0.903009776999331,0.8377276031364917,0.9153566595177373,0.8853435301815921,0.8315942252867699,1.0064083401680133,1.1468033716815005,0.9514462190491731,0.9455265759638455,1.1300258423260652,1.2283738114789056,0.9766159583091291,1.0160855550983445,0.8893727875084806,0.8572795244010757,0.7834631042473434,0.7662213051069372,0.836865695320318,0.7708316551457421,0.7695956860310683,0.8386844052048611,0.87261584379437,0.8140118743630882,0.8947048992095072,1.1482455727376861,1.029037716302063,1.000454035986477,1.0997046367566663,1.2394003680277272,1.2761766360687274,1.2527350701639128,1.2942878736717063,1.2218915613301435,1.3964597425509664,1.0490434334539671,0.9099449653917502,0.8906914749769199,1.0291295907672662,1.0451175610237156,1.1390480190086658,1.1125301254722806,0.9777941071376237,0.6051189776986596,0.5713458423061967,0.588129243463859,0.5888206629857596,0.6676847379632981,0.8964372637501473,1.2795347072003744,0.6099772923647319,0.8022169035012612,0.7617680660331481,0.6005190860999096,0.5797311287069467,0.8668018210005994,1.0793444116903546,1.47291461190364,2.4599573641556516,2.8467763080209765],[1.102117034823247,0.5344929483688221,0.49354984099252214,0.4186534248508135,0.6071223473566421,0.5099235419959719,0.5095886221838964,0.5318395805595095,0.45471273818548175,0.4294676626920482,0.42695252413360224,0.5210584270275699,0.4610004816939611,0.4274179992937735,0.513108531537424,0.48746605385583663,0.4653087037199922,0.48506007268470025,0.4994001974514249,0.49464586897816937,0.5111637090519913,0.7220241348442531,0.6494787588330916,0.7580682347658606,0.6825662094729564,0.6030410711765654,0.5305643567904794,0.4729524620509207,0.4663945262092002,0.5056231149654348,0.4911041889230101,0.5229029201234705,0.5920232402027775,0.5287097219272265,0.5232152929973154,0.5023362871063987,0.5241730277929723,0.5371421460434506,0.5141540789982195,0.5513328408163877,0.830008066148181,0.6691914730854519,0.6276393603763643,0.7968570790069268,0.9694156268247118,1.3639517757337174,1.1903770955267776,0.8856865853355687,1.9966179358199594,2.1219134364291223,1.1492602438505986,1.6880133232243981,1.39790993094071,1.2535087484279388,1.756606623111399,1.1787371726758862,1.2618805605830672,0.7365647956378967,1.1253711113862137,1.0756636972345113,0.8320902756096737,0.6651749047324198,0.5513490338311496,0.7049912514425986,0.617290116426501,0.5784569796840404,0.6318216665342226,0.5086368482023871,0.6092622575832617,0.5979420113922588,0.8035483411727309,1.0564055454962678,0.7410121174430042,0.7432437648199163,0.5570523826998373,0.8933142639723262,0.49335180337199985,0.4869893310590344,0.5048508552076664,0.5387027586962174,0.5805144568741445,0.6662311127970417,1.1568005299014095,0.6515352744076099,0.6321137257298076,0.6147687521990564,0.5507402950055701,0.5778459998723775,0.48536764601598875,0.5522214341723753,0.5068487859641562,0.5678429032771432,0.5301622959116226,0.49629639418465626,0.49110446747462316,0.54658088715925,0.5657876373288897,0.5580476297644013,0.5576624071930047,0.7506518444402975,0.5886067980780363,0.7775866740154417,0.5694617544252536,0.6383913676837649,0.76578079577931,0.6511291082152302,0.9087485979420239,0.6140463048204086,0.6197400739979161,0.7880128486051607,0.5583249689641321,0.5350777372862205,0.5130866598920404,0.525489277047897,0.4444818149067011,0.47625476776239095,0.5088154921688798,0.48002660961065846,0.517817719383498,0.5371952508201306,0.5121300132275742,0.48333486137549664,0.4689637256674311,0.4539327397961426,0.47436965291918937,0.6191034847553046,0.5376440475896435,0.5127706946320622,0.5132565246352188,0.5406514112194704,0.5838469526129683,0.6849566299590389,0.5801329498415209,0.6236145725842813,0.5429389885563428,0.4880365313550395,0.5834129247466638,0.5153554530674428,0.49821453649813763,0.459004263427255,0.587612973103557,0.5712348304064941,0.4978675066065977,0.4496756236576543,0.5791606151006632,0.4966080495213585,0.4778834146101326,0.5123515977627073,0.5172340624028757,0.531352886756202,0.575671482081346,0.5760132902719178,0.953817336282285,1.3787345516842653,0.868968666725115,0.629649277882443,0.5498646229155971,0.5615885481121928,0.5221043131066132,0.5552586943978377,0.555147099105479,0.5245735312580487,0.48002148437874453,0.5139263706030693,0.5308194328614552,0.6091416051698382,0.5810856508947297,0.7708167884924296,0.8908312308583535,0.7550511438690741,0.5832978013895127,0.4784166695082418,0.49344712519769385,0.562336964055783,0.5735290676949497,0.5966859759423926,0.5590449244160626,0.8057532482055251,0.5882296796182706,0.6088491662904815,0.6215239187434389,0.5824755936652022,0.5880838194062604,0.6623320431047981,0.6877090325681678,0.7616844954586443,0.8748516957147477,1.0832221884198352,1.6079031679977687,0.9675147344950501,1.0353629321447808,0.9488801745358184,0.6937632641568006,0.6796728742877169,0.6396413014365581,0.8370937985546681,0.7920979434443146,0.7057680331029613,0.7338281384796211,0.6684275343117541,0.7308012318650288,0.7358674518381207,0.6765898399915503,0.7668723633236868,0.7721930237933518,0.7536328003847264,0.8729821795775615,0.8218547268392884,0.8420734074294397,0.8080290918514962,0.825535764308366,0.9010007354778353,0.9768794493380668,0.9097454167514648,0.9786700226514311,0.9989854253771515,1.070580105827567,1.0599365880493594,0.9876937012579026,0.975933384533461,1.0077821047945963,1.7561612143297254,1.1448234382489453,1.305025485312106,0.9646958008704378,0.9321963011171318,0.9217918703449652,0.897289182400696,1.096368211145741,0.8448194484180483,0.8154549500371034,0.8923505330158684,1.0007053749974177,0.8343721825434653,0.8741115003049197,1.0365340191872303,1.0773899039117285,1.0331838290789221,0.8401414704615131,0.8013528465444945,0.7364915364440102,0.8051658765627575,0.907200615955262,1.105845001584031,1.0524534992243548,0.9665566595152406,0.896031837843419,0.9242483966807034,0.9289466009796112,0.8791979584143562,1.0353589206422704,1.1620766020611635,0.9836373244094311,0.9835787194974606,1.1463578182167256,1.2606887977893046,1.0143044576976483,1.0472465784910612,0.9316108330697049,0.9134990324532344,0.8454288278157062,0.8413384029037534,0.892548063335076,0.8444966241044212,0.8465955438238834,0.904017962889453,0.9362620144684384,0.8967379846700422,0.9534083371979872,1.1535157583290183,1.0952811923633372,1.0905711865705399,1.1863735215065454,1.3101359859059314,1.3403483766592927,1.3405921996041545,1.326731479579496,1.2681514935650187,1.4251841445110711,1.131465995804922,1.034292187374394,1.0478422169214099,1.1836475092504852,1.1988864929011287,1.2351687070762625,1.212754488462453,1.1197716117538181,0.6955665673842041,0.672498449924816,0.6422932074368469,0.6423135687062729,0.6623303916075912,0.824252409946271,1.131932296171913,0.6214397034717749,0.7086779249163976,0.6326050565689852,0.5740365148096032,0.594639400856509,0.7557989440129107,1.000963891404363,1.5419033648369447,2.4509935460124264,2.6735171435157463],[1.046723348832932,0.7396109892516596,0.6968885589143969,0.40745934005480816,0.6609648641922252,0.5171924422762013,0.4918802013587051,0.5206797347663502,0.4631668177041316,0.40372038922846,0.399455767417143,0.49582924303280523,0.42665067113608013,0.3916105804347665,0.4550866301999354,0.44856349378776955,0.43809140417480286,0.46191748494963253,0.4836390905683143,0.47605112464129795,0.500761848989603,0.7035597192501719,0.6694228808728093,0.7936035897350887,0.671879265915192,0.5947391407654168,0.5235358905800298,0.45140829545670097,0.4279313185162478,0.46987763720249287,0.46962266699767813,0.5034410443778711,0.5734219082954548,0.5012871890900756,0.5137078041693147,0.48092040099222405,0.5023869185460829,0.4991812028703796,0.4679112042191584,0.4907450531008153,0.7572187327858085,0.63729815125934,0.5880553064762299,0.741857616912071,0.9288042735274391,1.2820986229756524,1.1463434403504817,0.8406149437297618,1.9145942871345125,2.1112739255038067,1.124524792141477,1.7333248034975342,1.3159398190418945,1.2280747579254734,1.632724763719933,1.023732107408383,1.1659954637229084,0.7447679269125681,1.0874330664441498,1.0804757456005307,0.839125847670948,0.6374296676475402,0.5233319082047521,0.6811027652607852,0.6244388975278877,0.5801692500324391,0.6082299313652887,0.4797050005938461,0.6273461691211016,0.5901403964064059,0.7803437896072444,1.0317196458521074,0.7201583948170434,0.7366031220398811,0.5386151064080331,0.8892497767154904,0.4889040646756111,0.4647411368397183,0.47290569496333174,0.49943275919545493,0.5475465116207895,0.6036649408741045,1.1474015502175647,0.5898334002124642,0.581213954238615,0.5355347747973606,0.4935570223626539,0.5742213002193778,0.47165237043805885,0.5339936475113547,0.4698255359479299,0.570974643640556,0.5143977026998027,0.4716937952994939,0.4647533714944668,0.5146350352857463,0.5381754508110566,0.5319506981954789,0.5456662987535483,0.7481207870810791,0.5827706648185909,0.7689615980456207,0.5620978527119246,0.6405874042243493,0.7736095375863394,0.6726144860409093,0.895807204287229,0.6821273185440111,0.6759306018332405,0.7873485835594308,0.6274979044943891,0.5636263135116417,0.5037155871736817,0.49975999375147895,0.43179031319885386,0.460300554249183,0.5411903897810286,0.4270856894125144,0.5041410361662837,0.5462252499227155,0.49131214819633534,0.4639146430231199,0.4387509018697982,0.41170074192998873,0.43259304900969614,0.5523274125485538,0.5295731715837385,0.533948922147407,0.5716464083523655,0.5987774529828244,0.6425989170637054,0.7111719184186991,0.623263404028391,0.6479504873287184,0.5855741528027466,0.6037387701553438,0.6292520228804607,0.5356081055227441,0.480586769522984,0.4468648299757935,0.5380239710130679,0.5579945262205075,0.4568138899399832,0.43135587743997794,0.5284587114232633,0.4567615659489626,0.43912094468874324,0.49410995099162264,0.5042924398434936,0.5176624670828668,0.5694151852457009,0.5758633106214495,0.9829597221170763,1.4200449627253864,0.9213062526480156,0.6349362845404734,0.5451507913077855,0.54950487859471,0.5134185357004742,0.5717691541540605,0.5229875724505864,0.49112764117846386,0.4690312118062917,0.4777809507324042,0.5692388273429932,0.6378432767493852,0.6455808448176071,0.8861262642778233,1.0188847744582457,0.8386729296964148,0.6524192299856835,0.5192275216818493,0.5261939794735699,0.5393471903074588,0.5337690283385023,0.561406321709991,0.5391733028210856,0.7775573343527907,0.5575955076994469,0.5705866427128687,0.5936914766213098,0.5650213946711425,0.5950988895490662,0.6663248998963195,0.660275053107368,0.7101185952566333,0.8083564435307575,0.9784296064833314,1.5919416171978473,0.9882804503264847,0.9594129078626104,0.981840750154222,0.8069620438284894,0.7846228478001249,0.7350428097009112,0.927554677109246,0.7781439812770475,0.7383272181769033,0.7507414403697407,0.6850796548602599,0.7483181190452913,0.7498655001780595,0.7026589269715723,0.7507187626983082,0.7776700453246532,0.7701496027622101,0.786341259901269,0.8137354212640519,0.8666662731895045,0.8480113580662287,0.8235144680820994,0.9278029397378533,1.0500543807487184,1.001253466666891,1.0097618920266203,0.9613539790447536,1.186965225233764,1.0454314223427168,0.9575567568986976,0.9733818956086948,0.9776320188149685,1.5635044373372327,1.1709613921311166,1.4510277490162593,1.0105512799700924,0.9696914030284207,0.9856155082069764,0.9590264941613479,1.172579359261458,0.8829946732129877,0.8546813861784642,0.9493232965372521,1.0083642695493622,0.8688482268600313,0.8956428330869628,1.0571791115735456,1.0940237550067107,1.0674248454534438,0.8436184319097145,0.8347735007484538,0.769798651712409,0.8408595489237818,0.9382333148212877,1.1292420112488595,1.0570523456526957,0.9926130569441312,0.9055688124283007,0.9253535205403437,0.9397118338762143,0.8842886781299826,1.0317146304211333,1.1693189854398682,1.0124468576594903,1.008312846442549,1.158177233242398,1.2869003539802581,1.0522845324301306,1.0812958990303903,0.951718877379875,0.9234308779353043,0.8460422810999023,0.8625107195649353,0.9211150256158559,0.8488587192204198,0.8635483733010507,0.9324028827295735,0.9543746883016617,0.9109941935817739,1.0084580622132882,1.2645528100239511,1.1027656847411678,1.1013663494601973,1.2003345967195216,1.2870992594141342,1.321424184242858,1.3183619921255896,1.3604859303669803,1.295716129340778,1.450204056181029,1.0816724682743433,0.9648643225930716,0.9984368423933158,1.045518352209783,1.0634161142959915,1.1525922956481072,1.1149964322614223,1.0200711921741064,0.6886181380543385,0.6957412316310122,0.7005336840851946,0.7574899224233103,0.8267685719461438,0.9568824864841162,1.1911220470972144,0.7656583944047273,0.8266072046812617,0.6950101197703711,0.5415783658096335,0.6367328973250657,0.8237594162660483,0.9518919434953054,1.4430478614889954,2.3629612361703276,2.595607882142217],[0.9859641159996242,0.8687599290456428,0.9157170402007542,0.546611402992177,0.8261018176150046,0.672364594710189,0.6340912142407051,0.6530688529392652,0.5624722658290023,0.5032363810145659,0.4839554255830599,0.5775836589613754,0.5439324360521044,0.47810164982228226,0.5343942094989239,0.5492097417041785,0.5266299452118557,0.5361437244369778,0.528591634313384,0.5609077081043459,0.5754929870148633,0.7880167527086308,0.724430409840038,0.8401966438564931,0.7423990926244796,0.6572142310486736,0.6095477786443116,0.5682281400476161,0.5388967448938785,0.604791815236604,0.5611013641239468,0.6236941216334544,0.659271240928614,0.605659236548507,0.6366951371802839,0.6089277494581921,0.6634567016423837,0.653333938807349,0.6402085977004062,0.6382444247320488,0.8684831213168852,0.7076204914309361,0.6856311215883674,0.8413591720401907,0.9899732134622146,1.4317671046287803,1.2987106243627662,0.9994686928218093,2.013019703002352,2.2938256615856667,1.2991055150638953,1.8833353462753468,1.4316931724595379,1.3495156222300644,1.708233138508262,1.1518664793933426,1.256998759953993,0.8486636557019458,1.1809252580557106,1.0997870955635225,0.9002714893671441,0.7393171972735839,0.622681797913028,0.720514532063667,0.7108643255362901,0.6615296545886807,0.6682975992600135,0.5427130552052397,0.6444497873759543,0.621827165876965,0.7922273673727098,1.0157144742046116,0.7396214301476494,0.7430529165022041,0.6012483998044214,0.8815808678358047,0.5940489441196222,0.5811256964065246,0.6187849614560718,0.6299398615569484,0.682200578601445,0.7435356919097661,1.2544455320817616,0.7752616759579509,0.6930761016036512,0.678654190692024,0.6516784624907938,0.7249802715200334,0.6131967921776215,0.6440019989507072,0.5738379778002506,0.6312918114265506,0.5822980047092876,0.5634936645116779,0.5543906014327918,0.5723746231336911,0.6079399754425012,0.6105280483238429,0.6297152938254217,0.8332764306089879,0.6988395588802379,0.8929456016733874,0.7398850902825679,0.8168113948423272,0.9718265816525836,0.855435610637211,1.0657244955079137,0.9010098961186876,0.8840391382642406,0.9561235775022254,0.8340317456537581,0.752398092015683,0.6709834889138365,0.6454018099153901,0.5472164723264114,0.5707531829910198,0.6284266092698846,0.5300077950191687,0.5642029437871579,0.5965752238073266,0.5320278025599444,0.5217345580624817,0.5227796311404506,0.5096135407052386,0.5317889009816784,0.6609332158205586,0.691251351786661,0.7026066662867909,0.7731814753070673,0.8152717952826969,0.8549571698938867,0.9249573941455537,0.8547954722061629,0.8742246159540223,0.7901330469017999,0.7824036092935169,0.7820401294718891,0.7000184457215013,0.6412645369731532,0.6167062288939444,0.6511209483419705,0.6684027440999355,0.5798625788764704,0.5731516001773207,0.6450126261803156,0.6081674098997637,0.5951137224920403,0.6417208986289429,0.6700440902789021,0.6623024570678318,0.7237773039596982,0.6920426458482608,1.0607413273391453,1.3531460197285121,0.8868927404430861,0.7434211333600635,0.6669673356961965,0.7110477840586875,0.6770069328803355,0.7368996062765762,0.7002619174470306,0.6618082036867675,0.6419004751102744,0.6455315265688691,0.7723122078239596,0.7564632426209492,0.8245379569292066,1.0508222825672782,1.1732953431593662,0.9997943505127224,0.8299944607306867,0.7018150899707557,0.7055794623808257,0.7192843783713144,0.7145489587578624,0.7581235161609847,0.717109839192448,0.9581343857699729,0.7431451420264518,0.7531274034958864,0.7563331836433244,0.7696354857225428,0.8100946436872812,0.8688143118649272,0.8383993271895793,0.8100488717989717,0.8431114080197563,0.9920463893041837,1.5365502981363555,1.0043712560774936,1.0482530933555378,0.9954298487173378,0.9379481305160774,0.9503389476911343,0.9188970728286611,1.0542868669196785,0.9278029138386815,0.9336110430378899,0.934003249869784,0.8841582805028163,0.9427197554994549,0.9467098315734374,0.8986212502397305,0.9270088472387893,0.9645612064360174,0.9503482332209569,0.9203132686427691,0.9826805906749073,1.0355659312063101,1.0024836928485266,0.9847514481993607,1.0776411915982824,1.1866844420085463,1.1442068729548986,1.1321964499078387,1.085063384662848,1.3243944997668349,1.2017271105222531,1.0947968280878129,1.0972905332185594,1.0775532713189169,1.5913104473038642,1.2931315554042686,1.606182885869013,1.1749468082177128,1.1493415297270413,1.1631683432234627,1.1308446421156115,1.3171707702125264,1.0541486362567387,1.0366975683150512,1.116839710315849,1.154483623891335,1.0557641104020439,1.0608454259299367,1.223674833495808,1.2279811338722781,1.1948227379096148,1.0025269412206368,1.0345171731510492,0.9689180772714061,1.024846547086789,1.0922976247424458,1.3074960994236746,1.1926594483410193,1.1442949462917427,1.087334481060104,1.093076049545236,1.125015774748352,1.0597120693688613,1.183957759562344,1.2999651587142977,1.1667007024556069,1.1696253005878257,1.2907980898465443,1.4183916498208289,1.1917431730616281,1.2164301695674569,1.1045777737661848,1.0860022039914594,1.0292079002816217,1.042592644568697,1.0840150615147113,1.0186788684267838,1.0380180201674363,1.1021955781982562,1.1133054245248417,1.069202293221133,1.1715592803334391,1.3948255860331162,1.2168884178472306,1.2199533791672335,1.3110021024500236,1.394841566225896,1.425660705215855,1.4468441878748302,1.5301773785224648,1.5149809875251632,1.6330886852387418,1.2298469331182542,1.114432301789403,1.1526857982072436,1.1687581514930603,1.1725229098145646,1.229972806747269,1.1878879315213708,1.1210056773828059,0.8693133627071137,0.8835574511593622,0.8746180832135871,0.949469078489108,1.0515959377861068,1.1585292136112666,1.2160285438882152,0.9519696001146584,0.9842025740523163,0.8474290467235821,0.6952178852330776,0.8511510478492759,0.9744145052604809,1.0763539132105597,1.517673538754281,2.4769084110730906,2.7915736995572558],[0.7834255319343935,0.9068240173367249,1.0221038865005003,0.6562890292168071,0.9390076344160618,0.7674751975143262,0.7555777808554722,0.7493524586822327,0.6607897628107714,0.6282989755323161,0.594817875714299,0.6537687518915581,0.6689316416497262,0.5874192547764275,0.6360412975996719,0.6642835931763853,0.66295471522614,0.6737573686634297,0.6594487766201437,0.7046940410554906,0.7141468264576242,0.9394984125100111,0.8535924272694775,0.9767870524004149,0.881581830944672,0.7975031216765933,0.7552417719468798,0.7059984711605053,0.6774641238772623,0.7431623916427316,0.6739462818278134,0.7296156493104681,0.7596786867976224,0.7266071369102455,0.755503103349461,0.7599560464126917,0.7901533606052024,0.7999704937822,0.7873220433653294,0.768438081025616,0.9939801087914352,0.8582444405166183,0.8299459587572191,0.9555912576962997,1.0813327692710875,1.522924004021609,1.4046668112845706,1.1163482756416043,2.027937504223169,2.3515733791486135,1.4039565390488573,1.9279715912973117,1.5271461521215979,1.465178254744324,1.782049430089016,1.251683391039229,1.3152812404676963,0.9814696614006776,1.2496966287474343,1.1987414696322212,0.9720916642713321,0.8396673922502148,0.7299686602709738,0.8426443370991015,0.8533641556794344,0.7702828058181773,0.7644552417784773,0.662711408108771,0.7398602913548697,0.7044285738016739,0.8670225234541642,1.0668085378689094,0.7858136094049415,0.8243935123939045,0.7199865426749993,0.8987501072101379,0.719965269552681,0.6942446675981127,0.7564901572224034,0.7584104529220982,0.7927605039866464,0.8527119179493274,1.3017123040271257,0.8696552904002991,0.8126293441622774,0.7927058801201802,0.7846697381433932,0.843291930044363,0.7564866827860758,0.7563469503411872,0.6958037709744894,0.7114414714589044,0.6667859527127801,0.6408850472199066,0.6396593816184725,0.63811883022825,0.6598528446469109,0.7040033722752136,0.7177258453798518,0.8558091341383897,0.7730042139266924,0.944833920779624,0.8259979421104443,0.9049206269312652,1.0890562176426795,0.9400285390992383,1.1114019430228557,0.998909854534132,0.9841086204548573,1.0367867233504695,0.9310884058633218,0.8606689040434743,0.7946211987866179,0.7802343871436006,0.6849706750792732,0.7035034404332531,0.7506209963054243,0.6677882460701867,0.6858329144516342,0.716527891741903,0.6525997771337311,0.662049735075914,0.6499990734823758,0.6408625799676115,0.6549109714684812,0.7875590138357138,0.824928138596771,0.8251687592760528,0.8892803212601916,0.9186790356055622,0.9509960425793612,1.0105164509801148,0.9539117569854751,0.9559023958964579,0.897970578146513,0.8749027841724151,0.8739213185254701,0.8097005557490927,0.7475950092057909,0.7438779017226198,0.7481823543182975,0.7800468552624524,0.7076251341660401,0.7100404223184896,0.7894699673272805,0.7464043611812474,0.7369135599280883,0.7746160280474308,0.7923029067905557,0.7735880551396587,0.8209748543869707,0.7568487106241962,1.1022411590127164,1.4545627239688785,0.9450384674180722,0.8024213986449881,0.7525895754694909,0.8094563332549614,0.7727035052775592,0.8319371568613114,0.8230118719836205,0.7846395102061632,0.7679557901297543,0.7649375947411793,0.8819140293993645,0.8612584890441123,0.926693613354696,1.1391593860804938,1.2458588412608957,1.0855341284492583,0.9213074894183089,0.8213594053641697,0.8299100463785797,0.8327434016096599,0.8296549940303084,0.8645610358340773,0.7973547315470756,1.012323325213165,0.8512385034761137,0.8610102059597088,0.88561291939283,0.8817115111434399,0.910329564461126,0.9754177756212343,0.9557215025283728,0.9259371073302496,0.9556392608671856,1.0807105393478371,1.5969114177229626,1.109434640372724,1.0875358793900796,1.1036643380060647,1.0299001334013764,1.0446225963546483,1.0129544239396142,1.128666655588288,0.9964002120127052,1.0040878090161887,0.991686471077531,0.9540617321038024,0.9790539892368099,0.9877865961602428,0.965465920268717,0.9732859783556975,0.9738108252505943,0.9845547642436288,0.9676895430630867,0.9882477731592004,1.0144267585547846,1.035235407604935,0.9921123489029262,1.0413495800232013,1.1704201676317918,1.1882673994632755,1.102117795145237,1.0417275793262182,1.2342468281108292,1.09333375305647,1.040546588433751,1.0109371591379264,0.9860833556516004,1.4818140105874014,1.1924795587031687,1.5513714611266134,1.1394765558475868,1.1194125953178011,1.1453769361761228,1.1230146766478095,1.3273740672272307,1.0591803718565982,1.034831470123301,1.1177356160499639,1.1431621099594689,1.0622155828320483,1.083486700917838,1.228954569398454,1.2515128089453391,1.2475690821832763,1.0409740409659376,1.0772788455157765,0.9901779368297084,1.03181892515309,1.0999953560321996,1.2512689752910728,1.20572290175791,1.1791267081597077,1.0647166187472603,1.0532037202865314,1.103841897566428,1.0321270297539915,1.123109950040722,1.2431080605622342,1.1290803033645342,1.098064692361807,1.1940663246134426,1.3421392357482322,1.130520155749938,1.1255346589321127,1.0254482173180912,1.0157197988635107,0.9754023136129658,0.9918848126229443,1.027218021761956,0.9798742251004322,1.017943025765093,1.0639955997098907,1.076846760317953,1.0713975974262206,1.160744671007109,1.3770657641498447,1.2126246341406133,1.2448319445091232,1.3057874559722107,1.3754630871518032,1.4065361356423145,1.4209779665669615,1.4413736944899036,1.4182969064729676,1.5018772009763979,1.1939869214201926,1.1097427077644568,1.2014774047903252,1.1981205525619578,1.2131967053729222,1.2572584753562126,1.2339764399522377,1.1592722309126926,0.9564093611504896,0.9708495350585641,0.9848481129211615,1.0413956285083537,1.1032791948108558,1.151762373067702,1.2246459842716362,1.0477199704168847,1.0238987000445874,0.8956744560441162,0.7755212828138054,0.9013962092146173,1.0287507797673712,1.011155358951307,1.4043375387843142,2.1276064889429853,2.240894618696428],[0.8022287053234225,0.8618705320764954,0.9002350231026557,0.6080390352644081,0.8665121542933408,0.7629239618242939,0.7453881356441373,0.7472343022289686,0.6913596519309921,0.6495192265004333,0.6376497966239638,0.6886426987335585,0.6916279975130541,0.6256178275693012,0.6824484802910268,0.6980669725193669,0.6742838155181263,0.6833720857266424,0.6588936740994669,0.69433205449778,0.6953107585862262,0.8946312588316121,0.7871475109844416,0.8933678124386112,0.8163275609368836,0.75552494443175,0.7124203049323089,0.6848541566460407,0.6727750726313557,0.7410195095279389,0.7070045731210923,0.7455104801287585,0.7834158032623023,0.7465764928059531,0.7658481021496688,0.7537127943745113,0.7790260739215128,0.7719181136059692,0.7460432568463798,0.7117501462296074,0.9415501659634478,0.8056476542763397,0.7745828581540753,0.9155118785453441,1.0263123442856599,1.5001181169703135,1.3523781200260905,1.080379583002108,2.0809148628587297,2.33959857157072,1.357432353686884,1.9168588084154494,1.4762172662739705,1.3989085371529577,1.7561226592010235,1.2223524674369786,1.3085759841810418,0.932735742182491,1.2370608103029324,1.1381199635947525,0.945902443401343,0.8313420675577038,0.7324493535608027,0.8212851556336386,0.8274196308709325,0.7684124101464392,0.788330359372333,0.6836760843317722,0.7536914574680216,0.7340633126413734,0.9076608750914296,1.1029240669041631,0.8199102310677344,0.8306888724245767,0.7410554052646812,0.9181412745121498,0.7342954235379594,0.7138767804404889,0.7547061542885279,0.7439056366951682,0.774744530514283,0.8190665938077012,1.2805290110194694,0.8137478805363171,0.7463673694349513,0.7462086037241555,0.7545290365915667,0.8309726041196854,0.7503100639284057,0.7626784414439317,0.722193007737506,0.7448452109245367,0.7048624579735283,0.6884025486654162,0.6867748707100788,0.6930753063800709,0.7142908316685687,0.7356473155137326,0.7441677055394204,0.873815173950371,0.7919347881639429,0.935954604745261,0.801466948349129,0.8518185024103991,0.9989333199753431,0.8667038901147222,1.028638566087758,0.8640994889995263,0.8549462282479082,0.9570727412545574,0.8453744058478536,0.7946883763144056,0.7603500087947638,0.7318966782440781,0.669765312981753,0.6723887252360158,0.7198722523477364,0.6333164508865151,0.6488586981092682,0.714270340990786,0.6477296529920723,0.6542137758395093,0.6332951728024032,0.620688458191684,0.6390778466945484,0.7373799609917335,0.7543277065801611,0.7303848231311448,0.7761505592406599,0.8064330570161624,0.8080710190899534,0.8614449005151671,0.7969542511825118,0.8405834311859289,0.7706120650171046,0.7893896027720092,0.7799047072467534,0.7135309398616788,0.6870195307620205,0.6726318862658461,0.6931672730851264,0.7194598886692769,0.664898765395135,0.6623207741503386,0.7444483095074262,0.7178145149197158,0.7009177098237843,0.7506367522914469,0.7574591523091594,0.7645552227133193,0.7914757622922157,0.7649416148288547,1.0977047403587477,1.4686585090364421,0.9550469681056452,0.8102322911069174,0.76218196715397,0.7853932387149213,0.7581288097080572,0.7886839386029929,0.7606988103479057,0.7459033129577316,0.708880620950873,0.6992329499698468,0.8101472793266106,0.7775810445388741,0.8150541244028813,1.0143829215440867,1.1298651396405872,0.9880933356783931,0.8185794203438084,0.719563388735276,0.7407783244275099,0.7552644342692335,0.763806237847184,0.8018091069183122,0.767039962917694,0.9766775018999767,0.7911383715115671,0.7831732785060824,0.7969902160063037,0.7857366870975946,0.795818143368744,0.8492146937321208,0.845988663575982,0.8377093913794136,0.8819794220826477,1.0020173467821623,1.5294705444407752,0.9970772370818102,1.0438680434380423,0.9924606687441029,0.9008488928683699,0.898156744170973,0.840249171221087,0.960342790855742,0.8657168573119092,0.8265389755885921,0.8216613761851945,0.8027245169418683,0.8138185284172941,0.8421700363303696,0.8232211525928476,0.8079717924401104,0.8045109530457802,0.8348384133414571,0.8401924030765208,0.8087435463513045,0.8576084047170265,0.8869908721208583,0.8015149716843073,0.8575902297840001,1.0245494718046149,1.015100620121157,0.9017949241157619,0.8855812906412152,1.0389204139001045,0.9538603230020276,0.8923251954066275,0.8755632830777386,0.902302608234866,1.5329471730058069,1.0839480136411161,1.3819503412202225,0.9689750014379319,0.9296290582361783,0.9559311201136413,0.913190922878049,1.105453516608421,0.8611766833905421,0.8572427429520554,0.9183424351595103,0.9881078938792757,0.8758717067671998,0.9136783765870122,1.0394939565764045,1.057376524822766,1.0901591139678284,0.870087160244132,0.9228588378087046,0.8223799249613132,0.8734972254454331,0.9771048858160627,1.142080343474566,1.1210015130873088,1.0642093726694628,0.9401334322555454,0.9498247320383816,1.0075620495061104,0.9040944800660784,1.012750855344315,1.1562950125269003,1.0108177889239247,0.9552322601911347,1.0846052807217723,1.251009809754464,0.9863720226869512,0.9863920532839748,0.867637885727401,0.8551780537675078,0.818111409150056,0.8165336112692636,0.8422949598940059,0.8040983973177883,0.8384157452557068,0.866066195365048,0.8866281299058641,0.8844365324998383,0.9441023419013767,1.133587946294542,1.0356248949423599,1.0557290078232082,1.1224971068119651,1.2233580990338864,1.2711043046725559,1.264486074222528,1.2341038815781809,1.170339552748855,1.3292259503471495,1.0497492946698377,0.9429518822350634,1.0159328288034402,1.0791355671745035,1.0889095410642422,1.1251012281408177,1.1164822292530419,1.0447227179748286,0.7978194801827868,0.8167622679547538,0.8764577106346282,0.921864691328727,1.002183767330099,1.0586157236828193,1.21346272102771,0.9703704975002361,0.9339211903856691,0.8245174290029895,0.741045541583807,0.8334857659868122,0.9509364615642193,0.9654882393482355,1.3839885838419608,2.0199886385370016,2.0523333207148453],[0.8045918250370884,0.7074000209568992,0.7124433144087833,0.4364646576391922,0.6932367621303838,0.5635049332606488,0.553790045545845,0.5579207627161522,0.5203305271884713,0.47382249037770996,0.4722348259132436,0.52663565826539,0.49649520709747325,0.45601680153761404,0.5008815742217044,0.50701422928718,0.48998970181183094,0.5042219225117973,0.514271262334826,0.5254952826210394,0.5413421049422169,0.7722884615203747,0.7149191479554509,0.8355372115835483,0.7271922269716,0.6442408351896248,0.5800692620967838,0.5175515166925281,0.48830932893212187,0.5399029060558737,0.5156648999005179,0.5483053599646898,0.607889861883803,0.5531561636558242,0.5637764007713915,0.554634426471621,0.5727677566672368,0.5680478033134344,0.5419206007944751,0.5556486479036721,0.8166851336381964,0.6932812147327853,0.6584675021468538,0.7813653753442331,0.955149482235575,1.337276688914085,1.1880656514396635,0.8865386813565238,1.9166572683258531,2.145582102843968,1.180400363002394,1.759334634438735,1.3650067706726416,1.2986878976277603,1.6540557873386936,1.0520904198120378,1.1677858674808062,0.811938664698563,1.116113124006045,1.1185275645978061,0.8598273197893773,0.6828393132961935,0.5641057745878777,0.7191478469006282,0.690624632917732,0.6231218572640507,0.6315993398403841,0.5166094434114059,0.6313551618367225,0.6124484522290016,0.7754418937061491,1.012049001582005,0.7216925262443052,0.7347809365738625,0.5828175971310376,0.8646456947179635,0.5514543418386267,0.5142194939151251,0.5527706269196514,0.5570903738722005,0.5940403187118394,0.6488964116161638,1.1599829791532312,0.6158338688576862,0.6302757507875816,0.580222919674584,0.56254751003475,0.6332094473477694,0.5500023435221548,0.5800644817421213,0.5294635737554753,0.6030792639326344,0.5447617166388872,0.5115339291843223,0.5104900311812515,0.5407799763012644,0.5644777639937655,0.5705184974477998,0.5799871999498337,0.7511276758825423,0.6040182972154563,0.7709581815373168,0.5990147359425021,0.6887594013908379,0.8336165094780886,0.7084857923386735,0.8738984287606791,0.7006619747156145,0.6899076800670082,0.7994873742441698,0.6610251159779059,0.6122685900286324,0.5601844845231126,0.5579066680816799,0.49904655952877186,0.5182989907498325,0.5980934134276905,0.47811834862812636,0.546891369709752,0.5841286219759488,0.5252260809130564,0.5247736913382125,0.48234710252879726,0.4645852489961424,0.47905107279973735,0.5960622043569207,0.5870378754805194,0.5798417252424841,0.609974128436194,0.6299806282552669,0.6600476753699624,0.717203240705967,0.6371213308347798,0.6664967699288229,0.6064308099671333,0.6261018936179017,0.6334381265634076,0.5615637432485745,0.5094833943692109,0.4941046691369104,0.5512693041419848,0.557895000258565,0.5027724149180935,0.4874315915589483,0.5762718099285117,0.520598641797006,0.5093991537878287,0.5612827929504471,0.5606712563641573,0.5678487258850348,0.6063314645371872,0.5878630588437161,0.9590252354533939,1.4415325375699735,0.9470571810663009,0.6476794663837928,0.5755093638175743,0.5925209169236038,0.5545632566270526,0.6104259338962864,0.5715080468313339,0.5496663633674945,0.5223114991002239,0.5314016709363336,0.6105490979682511,0.6587336330571252,0.657844412686113,0.8983159587508166,1.015768244553051,0.8538538452594608,0.6610168991165977,0.5474859933492721,0.5662163937787159,0.5768734218271333,0.5732434904798931,0.6102586547197857,0.5828181455244923,0.8051917505759691,0.5972860725507139,0.6037669982746827,0.6315966080199737,0.6019924792240261,0.619694587638567,0.6877104356636093,0.6918981124340651,0.7433480749117648,0.8500692925108299,1.022734363422225,1.6061555593548034,1.0248073515868703,0.96950249231883,0.9908371461535789,0.809437299483093,0.7912606747749729,0.745423186603361,0.9385102166120147,0.7819841751749169,0.7390567767140872,0.7467202130747554,0.6880344287050415,0.730377841612907,0.727625001493897,0.6960108560353954,0.7335909446305482,0.7270502865788123,0.7401305505659224,0.7762815412961639,0.7568970637646105,0.8036402845643464,0.8234278696472089,0.7640771744454684,0.8386677023425576,0.9826399887944152,0.9779399697533612,0.9128122062894661,0.8743054219749362,1.0565764616205824,0.9383820018269844,0.8792021417754867,0.8707879400491941,0.8951365804879213,1.486566811575348,1.0719940091176607,1.3588922623467363,0.9333524152404755,0.8922402040869547,0.9158907332592391,0.8948886905081673,1.125895921605162,0.8362671401774219,0.7930683407601941,0.8932363880604489,0.9590761975708009,0.8107391988649456,0.8621903234266592,1.029996007232994,1.0690916342556478,1.0739264911413695,0.8267205399223547,0.8169646852461974,0.7349327945516647,0.7789651509778017,0.8916982434356321,1.0675229147381007,1.0477760948992736,0.9762817615389311,0.8659552140112384,0.8677363286329336,0.907480589369619,0.8225009398262085,0.9514865798627687,1.1009382288211274,0.9468465643198644,0.9133422530548351,1.0554288975095578,1.2232866105861167,0.9660734417079637,0.9719488295008256,0.84635368743298,0.8201266076098723,0.7601496088358851,0.772743536081023,0.82333197986641,0.7634427480427396,0.7943239539541957,0.8490201805378486,0.8718452289544558,0.8628806756342189,0.9471583679254768,1.1983007584589653,1.0642269524253836,1.0830827184700698,1.1757892204621436,1.264898090233203,1.2985092054058327,1.2769992889241495,1.285973488659699,1.1936097497082543,1.3067530334260156,1.0248298985073099,0.9118089371287333,0.9391506206682574,1.0247422740026275,1.0620379781260856,1.1700448834535582,1.1355639307714962,1.027166792070881,0.6969586695237644,0.7014500587299732,0.7182996188948213,0.7696033512143186,0.8152569627913199,0.9108257493992392,1.161586019053167,0.793842116610537,0.8098047640734249,0.6939878188095392,0.5456527309000876,0.6101177923171835,0.8517499613497447,0.8710487005021863,1.284868231973357,1.9088089707052787,1.9551633083944864],[0.9878813521517483,0.5425152138548606,0.46348728092225966,0.303171833456691,0.5522149732131291,0.4590349659290841,0.43306251677609825,0.47481802864507716,0.4331698619797041,0.3754563892446954,0.38908591812135496,0.4571457262164252,0.39563836145966236,0.38083818331697034,0.43926406852448135,0.4296354529207997,0.41429058025704407,0.42178336867251615,0.4301473688067033,0.4269940991578321,0.4442628376945159,0.6551009499453135,0.6141432417904216,0.7197506321482956,0.6113130524666149,0.5341890860755015,0.45807000966176964,0.40461114315001284,0.40084680331725586,0.4458552002107486,0.45048762994001257,0.46617788991443093,0.5384062442960741,0.47464257499422396,0.47408517177950626,0.44809916916002435,0.47005615176200083,0.46039972358793924,0.41914759824921843,0.4330368670498014,0.7196243750341769,0.5767229496322027,0.5415905954245509,0.6553214339705931,0.8679110704539501,1.2016580559051155,1.0551211287669593,0.7374583944707781,1.8612356640547827,1.9918920272342113,1.054383817540792,1.6910146151979433,1.364281954795275,1.2509711501788456,1.6321355542617826,1.0267419025495956,1.1868594115216438,0.7070502523745505,1.0380367609428995,1.098963627268695,0.8339414272010969,0.6185942940217642,0.4943152292978447,0.6377537008271639,0.5715771473244989,0.5273766333015266,0.5951221415051652,0.4441164323670993,0.5761911641808366,0.5496312835882583,0.7552586310513582,1.003671246523162,0.6918436160731227,0.7047645529125767,0.5086000172239694,0.8509819225054371,0.4518100733480274,0.43968884950204007,0.4518994775807012,0.45735451144334677,0.484802679818209,0.5558993192599018,1.1198742367825036,0.5218576131763205,0.5092242285222291,0.506679666455523,0.4657881758442388,0.5254705089217465,0.43837093827519646,0.5143055006287203,0.44167263994349487,0.5413196357238096,0.49042663914679635,0.44895957874079967,0.4518499152425297,0.49950756377949745,0.5230661382887173,0.5103989659185098,0.5133354911015546,0.7026571102940814,0.5238140010633804,0.7117147063997884,0.5184124345795307,0.5906660729679604,0.7399950385617288,0.6027943127588975,0.8027867943890943,0.5432277378566303,0.5439715995203133,0.7003375499588965,0.5089377400029933,0.4676528727119412,0.4274987281514473,0.44039147865970785,0.38226113159738756,0.3983818503727975,0.4707088675842068,0.3901334228615924,0.4712891453864027,0.5112988565375748,0.45634637019545,0.4337004985303398,0.3948882740434938,0.36132004083619285,0.3753872016943692,0.4896107325955315,0.4379764946513541,0.4202619196623206,0.4384439372647443,0.47211258987029864,0.47977316490986727,0.5513564210000882,0.4521874979384376,0.5185897532390161,0.44544460902558175,0.46336366788935796,0.5240171851616819,0.4234737634473305,0.4174197120743363,0.37963907431030686,0.5154758993317028,0.5156607738866991,0.4289544344246852,0.3796890437506385,0.47947018208793024,0.41114628378355506,0.3901459094627521,0.436063675612871,0.4379835553757307,0.46784302693426494,0.5195641314824602,0.5386146765685706,0.9518155383102015,1.4751631364158124,0.9458823034023927,0.590158847692968,0.499041133991177,0.4960354027685246,0.4656170716913053,0.5064823172644016,0.46005853767813853,0.4434225437390816,0.40090845260550084,0.4195918211283472,0.479467449576148,0.5477497659571464,0.5146329485732392,0.7460183230439398,0.8811085937112246,0.7339034698879022,0.5381203740626053,0.3976885092778148,0.40990224049490587,0.4507974468899083,0.4707653742131113,0.5275043386956583,0.5115403968929509,0.7437562624494256,0.4951119679507233,0.49140681674759007,0.5124285370164047,0.48664199040132566,0.4742513694099743,0.5346787942883883,0.5410244878195126,0.6236658665704612,0.7574650575479002,0.9736443670144188,1.5561726158839266,0.9187521386783166,0.9712743722244412,0.940214115028192,0.6922987744565681,0.6354484038432641,0.53385119063235,0.7564507557071553,0.6644916498872834,0.5730318235241431,0.6044018471758694,0.5468042349989121,0.5921216077884061,0.6019772461424496,0.5596436209362025,0.6282496932913902,0.6183432823984312,0.628138719920914,0.733248638956333,0.6654851119252788,0.7177827998399517,0.7082397898018737,0.6785350217219407,0.7624135055207636,0.8933535862018737,0.8350003981335301,0.8387609016361882,0.8264442044285278,0.9485830994826483,0.8719438758158822,0.8203247619175177,0.8173641194468689,0.8563229741321347,1.6361506283232858,1.0268999219951012,1.266062249405269,0.8491506266041241,0.7956758085503038,0.8021255443121467,0.7699628091728037,0.9898219826128195,0.7212914293387586,0.6898841267015497,0.7634007511423012,0.8637308488432662,0.6871963521532651,0.7432334638498856,0.910637575772253,0.958256794799217,0.9457253117254582,0.7011727373503117,0.6661557568923151,0.6052424047172924,0.6767163737345757,0.7912251912223971,1.002065133793007,0.9798419834792848,0.8731595483213954,0.7986816361088007,0.8340839088198237,0.8456330049778699,0.769268352240755,0.9143541731832272,1.062754291245765,0.8901084515484738,0.8575464734480079,1.0225464032680314,1.1580313967857294,0.9005846254333207,0.9102067715500767,0.7813496457127179,0.7549796988032851,0.6898850529766949,0.6793945283941243,0.7368575083914328,0.6831171306380037,0.6908335553562326,0.7411842171017131,0.7770458535378878,0.7549725678271619,0.8226111413029769,1.0573700248557458,0.9672181251945291,0.9795787470076376,1.0797477155295676,1.1876083697718172,1.225707507447495,1.1839469017191158,1.195247773772838,1.099604219836151,1.2180886008312872,0.9553969011122768,0.8343801112982817,0.8076974748413832,0.9784376502733986,1.0277789855612596,1.1269158413227998,1.1099065191910735,0.9715780887179347,0.5998186158292842,0.560598779258834,0.5938832631455782,0.5958552554439231,0.665458926565106,0.8303443683155747,1.2193113739367651,0.6477552717948659,0.7704025972031974,0.7191625449932552,0.5277238657267244,0.5290029491421264,0.8516423323222531,0.910120465543393,1.2621170850413208,1.8337378205699748,1.8751664128746213],[1.0474184047939665,0.5466544178545578,0.4406656219117029,0.3202126916874761,0.5179404700540079,0.433126330721081,0.38690191201438723,0.4349497577402465,0.4086577816782121,0.3423978766425522,0.35672374684536934,0.427869779954767,0.3630401745933636,0.35849597687073853,0.4177795191165436,0.388533204007148,0.4010689716311823,0.4242041108725744,0.4714034599215087,0.43738561218343647,0.4839578808215594,0.6500200633529005,0.6858928876941699,0.7998743449063501,0.66073275689483,0.5963810438955549,0.4859425092924538,0.40539309289769737,0.3868556731989259,0.39951236498771153,0.42879960343051654,0.4217198146633033,0.5047245811468828,0.42891263188443013,0.42669219466310765,0.4019095356723109,0.3996183031185722,0.4149047097300858,0.39020023117590935,0.40718088777569356,0.6970435790149302,0.5824509523177575,0.542296565522313,0.6240687802463692,0.8984370021550885,1.0906059300710935,1.002310030291182,0.6584820236243352,1.7569293838109967,1.826246205869163,0.9772221176905102,1.6448716607560736,1.3138223716057649,1.22939222362052,1.5884359063835602,0.9350403682491233,1.1326377466579156,0.706107182820224,1.0141687816282299,1.121502725142591,0.8550609803860798,0.6021311010682907,0.4891787767526292,0.6950861392369782,0.5821599785708207,0.551459003808093,0.6224550512645605,0.4697990888192851,0.6626027336016131,0.5996979685858798,0.8047958761214347,1.0547832590218682,0.7373636182850503,0.7758317690042339,0.5267533495645775,0.9276785481982955,0.4437160860833208,0.4166885387320652,0.4043422854694524,0.4280672310692247,0.4477520489722591,0.5177378359032881,1.1060192399109328,0.4648736575534515,0.5076092327229821,0.46056505246007073,0.4177644107755915,0.4707146719181718,0.3881146060177881,0.4798892650100239,0.42650386633485426,0.569337261393792,0.5139637891011816,0.44618220633360556,0.44282207959095127,0.5074638380069261,0.5126675904164655,0.4840454652380949,0.47860556084725786,0.7105492326239761,0.48930441857868406,0.6777690427093904,0.459001707172311,0.5329574080749405,0.643124794287198,0.5531034050728743,0.7467594140001697,0.5068385367249775,0.5121531217082635,0.6695747149716199,0.45993684092747233,0.40927485184558804,0.3785022651696936,0.4003175607867664,0.36768313674289393,0.398302483425646,0.47253456858965964,0.4076321617300918,0.4972710347156113,0.5118664874920552,0.4731860447992991,0.4391924165859473,0.4029382736337085,0.35030474664846317,0.3696046919247914,0.46455361333963296,0.40685655778392454,0.4158525556444894,0.40275452017933505,0.4218703667174127,0.4501673766913947,0.5006553618575771,0.4232967147973914,0.4690648826641333,0.43465185994568417,0.4910609164914011,0.5415563860468715,0.42135484493992303,0.4272551066979282,0.39169532523476513,0.5704340064441291,0.5783217653706496,0.45133366846147405,0.3995878469112797,0.46924453138583655,0.397324601993497,0.3735130538064784,0.40008651090847036,0.3894266970519063,0.4274214162026105,0.4842877952925249,0.5226656701792457,0.9651994613965725,1.5179122346349698,1.0415868817641791,0.5830205761444852,0.45211939937040113,0.44832543367769556,0.4190474891531184,0.47186287341942595,0.409875944915787,0.3986938102551114,0.3782414101428578,0.3930908852812326,0.4500535744762581,0.564510586389096,0.521360634039498,0.771412479270116,0.8989852507297206,0.7529566734902836,0.5388157494393122,0.4042523725708403,0.3918764057282114,0.4002320436689303,0.41258654539056905,0.46644355311138114,0.46898705525180673,0.6879320634708309,0.446715065392384,0.4394552542721146,0.46086788261326617,0.4301325760059452,0.43228239589503625,0.5037552154455803,0.5191014630644056,0.6239103403175923,0.774372314564922,1.000518213764688,1.5693414933053553,0.9528834281171983,0.9597868717573962,1.0569334597391076,0.7706783079887607,0.6916832843050075,0.568669830924298,0.7937134158916471,0.6599187455226099,0.5570234242420916,0.5918717207265377,0.5216559923281848,0.5759942165653459,0.5775197976516186,0.5317287414124026,0.6161055274619867,0.6150000006030253,0.6191383752834778,0.7212507854129503,0.6706476817405597,0.7295893017476948,0.7097088413407869,0.6953321574263414,0.7981783729544105,0.9048993940764196,0.8456546832346228,0.8932338390245885,0.8598850226407929,1.017038546498456,0.9206666402488949,0.8489119394265712,0.8574359888739201,0.8915540638224526,1.617244161557425,1.0596754121944778,1.2726772471751238,0.8673129705225299,0.8042491696282776,0.7990949304820256,0.7729463501020352,1.0064831242212415,0.7273896714937983,0.6834830743551042,0.7808700865226583,0.8787216067036624,0.6911063860705148,0.7528265948125307,0.9445786382727798,0.9851907071114032,0.9590092958632969,0.6966591533014022,0.6406649108601851,0.5887834956252548,0.6660465413338498,0.7906711728120835,0.9972593467095049,0.9808515746423434,0.8654579480289125,0.7933578231732311,0.8510561844668827,0.8420470652965344,0.7712180092759434,0.9379271605692658,1.0912019731401257,0.9007571940752839,0.8842622337299298,1.0669546674512578,1.1881143097316245,0.9314288227686323,0.9539543943503993,0.8149538791766748,0.7794452136813312,0.7025747233818161,0.6921623986099381,0.7648264634887524,0.6992022796165284,0.6991011493449317,0.7690500363567145,0.805274179291081,0.7670750940101235,0.8522395269226836,1.1198508359730384,0.9973856303950639,1.006295267157095,1.1218965864389565,1.2381281950229617,1.2536598251806843,1.2078093180615124,1.2613265990133253,1.159104082949328,1.271496238349588,0.9721679831769513,0.8432776623272952,0.8188070205159628,0.952265926981332,1.001888787305082,1.1432337928997247,1.122189552643156,0.9634653882787552,0.5922797172623224,0.5435724046833694,0.5625362173130868,0.5609960550240162,0.6297417623676667,0.8347640152146435,1.3040398429888587,0.6162711059077858,0.7908744286197619,0.8020762007424047,0.5630614414804183,0.5423043715495914,0.8935489139230373,1.0226691831190864,1.2486129286653904,2.002804934777999,2.216789421183001],[1.0713888956426139,0.5159112754216911,0.3931941608068763,0.316886917241431,0.47463526161096414,0.37314803452859235,0.32291927548094984,0.3365226279790094,0.34079131617910907,0.3034362420708026,0.3132135394095629,0.37600742510954177,0.3268451336316758,0.33848021260124783,0.3946584634319879,0.358109601599972,0.3964827649509745,0.4498184661207207,0.5335190583278933,0.4883239618062223,0.5624290865985078,0.7008356621206056,0.7623462152106424,0.8931619016322719,0.7351737502933222,0.6735437962922072,0.5606165883611693,0.4295023109057055,0.39358635760478583,0.3517676729718237,0.4019673400333207,0.38675498391111773,0.45144244765098973,0.40185495295009876,0.3653479263279819,0.3820476880686265,0.34273805220711545,0.4136235592433469,0.4038802464845694,0.45073178817369414,0.7344369166032927,0.6521379415688197,0.6126026576827672,0.6520057746164817,1.0123893670395943,1.0740383035955778,1.048098134714917,0.6468210294836614,1.6509755854447705,1.6661285585111412,0.8900371127167908,1.5477051934901254,1.2433237940254962,1.1894196596132414,1.5726704617957519,0.8755098393363926,1.1029758809589665,0.7249484198080475,1.017369564810375,1.179126120829353,0.9081952154557724,0.5960079717174783,0.48218646179758007,0.7398675326741205,0.6169149440274144,0.5680050940120224,0.621402212800398,0.4876773191798265,0.6940987008171473,0.6258995709736034,0.8177168966073312,1.0661859773554867,0.7678269367066338,0.8321881499841605,0.553468968642505,0.9880938508036213,0.43237045621660974,0.3908801728982914,0.37609701200302614,0.4377631913520938,0.43599306458488996,0.503299859101695,1.0481104765579823,0.40293598910158934,0.5613708972203104,0.44781336497361457,0.4200884613237572,0.4633391052791503,0.37536393829866715,0.46691745608813734,0.41598849009731204,0.5632564724715793,0.5200240860942335,0.44040570687807445,0.42996358680595453,0.5052738304061641,0.49720984353726183,0.4470757296093386,0.42797068367955693,0.6828260861478321,0.4313008214548411,0.6048532349687084,0.37437925717490317,0.45713752154025744,0.525211709335742,0.47612313322955047,0.6598891804579873,0.4573597887169925,0.45733328944384216,0.6111676673577149,0.3714564513996545,0.3394462481592474,0.3205037391738771,0.3618219692486653,0.3580394087211446,0.4006579476358459,0.4830469842538498,0.4397434786013793,0.5287335785478268,0.5346115400601306,0.5007912459504015,0.4612993680178255,0.4491125059206276,0.37256196375346723,0.35329272473620305,0.4759405342634264,0.36216682751087625,0.3968676300820158,0.358334656385959,0.34467857609643116,0.44836138214904625,0.4697585719303025,0.4195806018198235,0.4021289642228495,0.4373158731608199,0.48890292087524634,0.5583445301700216,0.44453022295127764,0.4327913826140866,0.40715033279357005,0.6373314291980193,0.6653413414324272,0.4991814813409154,0.4220322759195053,0.4811927071693148,0.3947604502692176,0.36680927918502904,0.3625634856741992,0.32753872812814894,0.3829233117678714,0.39597677902750267,0.48169394345812167,0.9645049988520883,1.5536232194088069,1.0973938769053488,0.5300227674808317,0.36920570510518547,0.36165889039124105,0.34308953901199724,0.41594062225949197,0.37902605781713816,0.3581473742693804,0.36594599340567213,0.4129572988391366,0.41921773870647366,0.6181681415766214,0.5487761430398366,0.7951093067239621,0.8972398616305385,0.7646865731523634,0.5619506975415433,0.4284594480458702,0.38573648475486705,0.3842142862487371,0.3615215336724366,0.37589601973644077,0.3972299153266997,0.5992885024171862,0.3743729335500457,0.3846458531765656,0.4443842891686306,0.35868902772330546,0.39184082683137106,0.47269349469999855,0.520575704422114,0.6862327872801107,0.855002649715095,1.0917872598499558,1.6316435450821891,1.0372565638074,0.9959493575461357,1.1854004167978873,0.8398904174664391,0.7440642279756462,0.6374994821977401,0.8780762990257286,0.7069656352809668,0.5659436004966111,0.5990685492378363,0.504239922769844,0.5552043784094363,0.5418702567608467,0.49552981560466997,0.6088700921248952,0.5944282407638878,0.5910054180367856,0.7340494384929873,0.660888625249707,0.7089410186267718,0.6903598407155256,0.6816023834377355,0.7854870458545186,0.8879585373004094,0.8334406214558155,0.8891204179674358,0.8536384819361932,1.0172146488824172,0.9132408435327846,0.8389650577795615,0.8504435193038128,0.8887586839558579,1.6243159616482221,1.0566883155178026,1.2555681865652049,0.8401919044717576,0.7751714456974574,0.7733369691052574,0.7480318261802416,0.9848619338289938,0.717730870129418,0.6656975960024653,0.7679477051027305,0.8661302233864622,0.6863341509357475,0.7752088195702582,0.970291976374142,1.0120376218949503,1.0044424680571202,0.699177408575502,0.6104701319341006,0.5707586279821638,0.6468490590525946,0.7840234867130923,0.9729823031937286,0.9695496350405348,0.8417613177323092,0.7649979560585339,0.8417663013924725,0.8088934644611224,0.7462693634302522,0.9189166420169042,1.0729954259389929,0.8747662420095763,0.8602320270590662,1.0528246106705095,1.1717740459196626,0.91226911199462,0.9349384506929292,0.8012082900702897,0.7587806818372151,0.6770085053723108,0.6731392418118528,0.7446193016277294,0.6829164549201527,0.6861263970188236,0.7566756124835983,0.794546671604909,0.7681915203665827,0.854592766896406,1.1204869161109534,1.0029400093345595,1.0272802466624347,1.150581303731455,1.2611737096785418,1.2693945313880912,1.2064005756951175,1.2986389239426235,1.1756393404083463,1.2440460197463905,0.9682411512704744,0.8293509354421946,0.7814105048213744,0.9403445601920972,1.0035225881567509,1.1720626372556635,1.1518807007342613,0.9750060672632148,0.6094570602315024,0.5408884387227796,0.5369322992067143,0.4887272016727361,0.5343650392740452,0.7799885894992029,1.3263648163667392,0.5356242256855909,0.781943992926411,0.8715156020476023,0.5940576562568586,0.534847996103873,0.9421755351002786,1.074470733990857,1.1407182539994436,1.892432621637828,2.193698980704235],[1.122562685352897,0.5094842634385042,0.36782510174605576,0.2943608070750539,0.402411354815493,0.3254467585930074,0.2469297283582937,0.29545841088529645,0.31858747680220484,0.26451475155200804,0.2846087959278956,0.3494514720811178,0.28248565062055453,0.3186528169285176,0.39298192703845913,0.3355001979797365,0.36910620112530956,0.4449795496605677,0.537156122243788,0.47070562491066703,0.5470897844473803,0.6460529866801457,0.7457156455211282,0.8801578766735951,0.6922538608843175,0.6422694088603763,0.5186997151609656,0.3920158438469187,0.3686909572456391,0.3283736876063381,0.4150442612018048,0.37984284022172177,0.46416426761123614,0.4242031296798257,0.3688239602870314,0.3849759069082607,0.3287810595060316,0.3635907675691473,0.3783637948553122,0.4064463771311441,0.6543509664857475,0.6000377171565897,0.5675273447054577,0.6003028845492934,1.0670140643612576,1.074747559905065,1.1011590756937033,0.6431156171948659,1.5856037309075253,1.5430407827468904,0.8880467923839601,1.5656096156589439,1.2637609831458108,1.2373008645822368,1.537387737799179,0.810432257907886,1.087862225413557,0.716277550816044,0.985638348307644,1.1465045544275387,0.9298907123231267,0.6121375879752633,0.49939641592054673,0.7852571217337111,0.6244515767702984,0.5653607044379824,0.6425804175848508,0.5117546530516276,0.7214467888593359,0.6367853569454985,0.8217845491197927,1.100112437977437,0.7899857228543673,0.8818099671818367,0.55867094346259,1.0036690814016278,0.4575120125293362,0.4223580428089645,0.39626391188547866,0.43206400451413707,0.388651423697614,0.45522343075081223,1.1033747997958554,0.3700274089786351,0.5360621095248584,0.40755725733853904,0.3785938907500963,0.44996954721728943,0.38118854652433604,0.46821848324984283,0.4301936827737422,0.5756408161307299,0.5534081706025422,0.47089893724460574,0.44826838740299335,0.5271492441139097,0.516717746487784,0.44081706276878524,0.416572685184033,0.7034378638375953,0.4103666468681946,0.5849448677401015,0.35408010683169505,0.4377832493028037,0.4948415632338737,0.45320537332880023,0.6291834613460454,0.3800273635404044,0.38655180505354264,0.5737083585623415,0.3086601688371143,0.26177566610749275,0.23613699317368522,0.3000896101677494,0.30707165041346113,0.33787197391409696,0.423993477449829,0.4375347007727422,0.5533402826750321,0.5437985925836903,0.5037983891616058,0.4481973333660778,0.4430635439486801,0.32677192421646145,0.2876538357540044,0.36897659610715716,0.28486928030094477,0.31853690771203086,0.2767964433331199,0.32365914112487937,0.36911257661129976,0.39479961502204436,0.35001477536265463,0.3702479033436608,0.36333592069964543,0.4566112215802806,0.5062183363588699,0.3985556779881746,0.41431362168517333,0.3988790955028526,0.6611132715447791,0.6983412511865396,0.5292615256617751,0.4044201093885233,0.3999949032672194,0.35317624728151936,0.3163712709938276,0.3161148219181415,0.27850489701080994,0.3456391277550195,0.36216977905784414,0.4693199681006659,0.9652667345483249,1.6323611039291144,1.1868261574242636,0.5333596577911152,0.3481442002759821,0.3388586175842141,0.30657112858228697,0.3735795092587089,0.3276883694733814,0.3272128712936545,0.34013952384238594,0.3642799081502296,0.4063373727283379,0.5516662997881822,0.5094741445367136,0.7503948719334224,0.8489642359369112,0.7339326931673079,0.5246744275010953,0.388507715505285,0.3357398465851744,0.3227030633453352,0.2981002313845805,0.3429053438997701,0.3767481164949141,0.6124801870059795,0.3319369736026916,0.3432568722571516,0.3814210726704742,0.31297074441196815,0.32375558368241447,0.3872633007469918,0.43548984950961295,0.610384204845678,0.7715241355390359,1.0687051793408917,1.5975154218592817,0.996407987100921,1.0509257074520424,1.201335648421921,0.8436474189336007,0.7217779695072684,0.579697999014178,0.8116831413428289,0.6525841185372517,0.4841481264186374,0.5235847667926091,0.43791280054836224,0.4867734419377432,0.49767083516373495,0.4436844133000227,0.5515348863839997,0.5566675086005253,0.5671678991025497,0.701204407506843,0.6244818180773679,0.6950315576408268,0.6697659938839479,0.6629701614996346,0.7740842076513852,0.8816590920707621,0.8175511384621068,0.8843512177164341,0.8426328714551041,0.9996671992764444,0.8853212596082073,0.8101847148595401,0.8352369691731703,0.8622103268262155,1.6734685641360714,1.0419143089473055,1.2486771889815194,0.8236682611752741,0.7542165946731222,0.7358231280980893,0.7002044991672023,0.920635139309496,0.6567047985862078,0.6077021293882399,0.6920377581698945,0.7997024558837383,0.613143573336778,0.726359797505534,0.9150806888821064,0.9441900229618314,0.944656268206531,0.6182796082207562,0.5607018914414018,0.5269306049046468,0.6220620899707985,0.7827893421066915,0.9584606050391979,0.9676096209229899,0.8235690849795172,0.7631556750989786,0.8747550866614766,0.8123945985544733,0.7473761022461672,0.9294756857504742,1.0786571387125639,0.8720190835680821,0.8614877988277277,1.0583321966578585,1.153476922110955,0.9070417179662272,0.9314223407068224,0.7953378315755142,0.7500520368022572,0.6679493895368345,0.6550719163441534,0.7237159726713098,0.6566009956622444,0.6474505286855946,0.7207875841661386,0.7636395820462608,0.7171688238892403,0.8005260041867477,1.0746296827342414,0.9512703337183176,0.959974025568598,1.096922614261576,1.2195361469878236,1.2254739173783205,1.1559377051261512,1.263645565282662,1.1393059551873108,1.2085503013178125,0.9341750938241452,0.7880642434739581,0.7318667028042799,0.8980195467933006,0.9508077037913458,1.1220094258941724,1.1097984193710797,0.9078364764612159,0.5598928048389248,0.4744045554746792,0.4673811189098151,0.454407760555216,0.5196056440591962,0.8086121412028817,1.4426885244869005,0.545583392300586,0.8398716939450209,0.9779102551416002,0.6653383759511121,0.5972528754112137,1.0336285690409195,1.160610337452696,1.0340446256299511,1.8212411830410034,2.224998974888668],[1.087892361270598,0.5636471449621462,0.40808367552605995,0.367685799061315,0.42643514094024626,0.39954921729405884,0.33780886034237795,0.3730761345907819,0.4053127222207374,0.35322411045453833,0.3640461145285554,0.4153609951891826,0.3678056068684276,0.40127203734498124,0.4514633901746588,0.41830064062732353,0.44241062717962465,0.5127542474494118,0.6213965991356887,0.5616926527693179,0.6332125753618295,0.6946539274312917,0.8212037266878724,0.9718807775199936,0.7536577451713672,0.7038686813302205,0.6050060465801448,0.45984976435447233,0.44221210891662566,0.40875503208405317,0.4959968008547382,0.446000568289237,0.504498608836443,0.4905901101755215,0.4376620227389225,0.46748602225668134,0.413707145883898,0.44560634258309634,0.47440667156990785,0.4962275243864329,0.6825276843424068,0.6624563080888433,0.6351233151624907,0.6892235692728149,1.248033631346686,1.2619861517515902,1.3652017458774293,0.8151621351689988,1.518509694371656,1.500673584638909,0.993443418377014,1.6448379179268509,1.371060742146982,1.4270030332762467,1.4968797538865397,0.8085616593520119,1.1556744841506097,0.7768648811625489,0.9615563622583436,1.2596938073848063,1.0449571673790075,0.6826177949974941,0.5739539109944295,0.8626608074270944,0.7203460269258666,0.6613749985275732,0.7061750900434373,0.6046825588970074,0.7895232540855872,0.6987459608915773,0.84241298328257,1.1072844184303108,0.8423941605250626,0.9748246021042632,0.6204785483385807,1.053003234304942,0.5455297507553836,0.5158963548546988,0.4949869216002877,0.5150342844694574,0.47636052292228626,0.5069687497152939,1.1071985013839718,0.4579697290629954,0.614663369133598,0.4744209702327974,0.4533687687405413,0.5333145043835134,0.471200038856847,0.5306884396554238,0.5175152655220829,0.6331334528509425,0.6195797837194057,0.531974915461913,0.5082371669421454,0.5798793633833371,0.5517110108473552,0.49350100973850625,0.47963769805292156,0.7575869629101223,0.48890724835435323,0.6191580990594407,0.4496362702184807,0.5031241151298399,0.5423427864448968,0.5226003633771464,0.6462066457120051,0.4252892732479014,0.4194830727396807,0.6084474931134338,0.3729653531778517,0.3488780392593683,0.32598913020813536,0.37211375358040516,0.38967469545341,0.39734910091791853,0.47402140858669334,0.5167944493239041,0.6597609888422821,0.6088285381466507,0.5841900559380301,0.5153434833049785,0.5206230897227969,0.3993526556683408,0.3575639869383178,0.38089684149562464,0.35264951535321587,0.3596384657710105,0.34222478704441817,0.41670551570253817,0.3994268923387107,0.41082051015956184,0.41012053057090575,0.42941184548341765,0.4198608367238562,0.526135133360237,0.554331853361392,0.4455608876843671,0.4601413093649889,0.47716936114958136,0.7210076897790731,0.7893707379226321,0.6299356807079989,0.48606539137386723,0.4661191260325824,0.42999164716380134,0.39833714417048893,0.4001153204647381,0.36348835612799985,0.41886651626253285,0.426861390101059,0.5340293503292377,0.9570170212537651,1.6989772161865277,1.285730201000962,0.583117919094852,0.42818143729032804,0.4234244257649145,0.39984907978383866,0.4473202977927655,0.3818471877299728,0.4282789849370621,0.4371042570948716,0.45160565543006714,0.4902546498900816,0.5821468106511781,0.5619910921468131,0.7914451885689284,0.8509790875822296,0.7507338805440245,0.5656495006416088,0.45758598331011086,0.4222669276065583,0.3957488825530786,0.37220356197508514,0.41773899754961497,0.4563631539906434,0.6492547960019579,0.408192761037454,0.42697113576350026,0.4431174570011368,0.39750841548616306,0.3941091574432214,0.4262297647436192,0.4581471700518514,0.6326542016271289,0.7904039384759157,1.1165672721232152,1.603909580363412,1.0483004057285377,1.119884451887717,1.2935477486609757,0.9297576972309721,0.794824952851538,0.6444301439139081,0.8530872367012063,0.6465496833928348,0.4798845777317321,0.49854495294900864,0.43719258724849697,0.46216264150707353,0.49934193812517413,0.44686668392519807,0.5075181475773783,0.5224153283515756,0.5621035218016592,0.6452395165306846,0.57574552834157,0.6767642562387576,0.6602401908292486,0.6327427344664959,0.753032754716194,0.876280441140029,0.8069112630894714,0.8602630540050784,0.7892241018666545,0.9799408722099707,0.8034920921016818,0.7486941644814973,0.7763727346373621,0.8094503563297464,1.6125919227461858,1.0252394080093155,1.2003233436073015,0.8286316769919961,0.7210340693723859,0.6758374750772931,0.6477194149179136,0.8259325770154308,0.5950481884218677,0.5822713563631909,0.6693757675609013,0.7704032933678159,0.5882049962303598,0.7066486526353715,0.8779966441899539,0.892697923790153,0.8825854292126601,0.5581341107974329,0.5640225951075217,0.5268347917220615,0.6120822637658986,0.7806677554432988,0.9421799805600609,0.9775814239678879,0.818098787997193,0.7801783738022782,0.9074834168207645,0.8351020936920969,0.7596615516286375,0.9310642069530334,1.0819625432510733,0.8804507671132418,0.8521482481107954,1.0429554443871514,1.142666822423717,0.885704616190011,0.8990842237343964,0.7616952037690641,0.7130659499458928,0.647171175705774,0.625983054788896,0.6720760459309424,0.606691733883163,0.5912137227549144,0.6634658482392933,0.7043536571360921,0.6555494107994148,0.7440356443260115,1.0092773914791218,0.8697563585977552,0.8984780858799064,1.0591247180771688,1.1897676475193555,1.161163804130751,1.0658590779689352,1.223619384078068,1.0959558060607517,1.1014759816719608,0.8477320214094453,0.6995965977758261,0.645683946020869,0.7956966134069832,0.8389574717419371,1.0350144418978013,1.0464058584092037,0.8196462559966333,0.5141250552415969,0.45099730397120114,0.49550473367821735,0.5023205345752084,0.571825387012956,0.8559337401424243,1.533808747854718,0.6378730564136692,0.9336153031977122,1.087171974637058,0.776180251962105,0.7275178370426347,1.1347182334953043,1.194212387455927,0.9635832090174666,1.6521420639733186,2.08760322194646],[1.1820577948398037,0.5597074148955302,0.42612646882745486,0.3821554963161217,0.44038945393020357,0.42428020332356703,0.3502874938455678,0.37412732173952173,0.42008752385011716,0.37317455420791934,0.39110418687779697,0.43202139535216666,0.3754966638044716,0.41458944937271247,0.4813507042722987,0.45082113180596967,0.4648905430197041,0.545465792245806,0.6379358543796111,0.5729702660089617,0.6311374651882373,0.6873417525161901,0.7885727981726194,0.9436104200137879,0.7402110045616682,0.704327883986865,0.5978736189278454,0.495117024315027,0.47266141143990087,0.45842310584543994,0.5310988107836323,0.48472222487373157,0.5627807189477243,0.5440431295834383,0.48425066826878094,0.49598064397715674,0.450268757562593,0.4963676179374359,0.5124855762022382,0.515484635707052,0.6836934414722889,0.6650244118324098,0.6456098121751505,0.6709138701963873,1.2403316731273604,1.2006782604677535,1.3208887759556815,0.7856883362077777,1.5417325524703764,1.4121213671407657,0.9552910402248632,1.6199063696531513,1.3373012320220699,1.3629903084325365,1.5570201019612995,0.8520895164773742,1.168784243881166,0.7897766214525337,0.9907764340014896,1.1964918796330712,1.0191171693761514,0.7005991013549994,0.5924967284842888,0.9002696306359402,0.717851935456709,0.6585374277580824,0.7573636241239903,0.6217221177138171,0.8150212039112014,0.6934596668208586,0.872932202208872,1.1591515528557053,0.849469028811356,0.9887132667037781,0.6253574641666416,1.098993427924082,0.5600940707855981,0.5581947503747084,0.5242625599785383,0.5329758977816959,0.5058556006139098,0.5504682236241529,1.1815915389579448,0.5007550015153034,0.6221685350992351,0.5035687251119179,0.5040243403947724,0.5582493440241123,0.5062852302570017,0.5742052444774146,0.5434815160943117,0.6545624130859964,0.6510345477437427,0.5792088160119737,0.5502423109445282,0.6175553499755377,0.5872548348970583,0.5318448577844289,0.5166786364966259,0.7716762751293869,0.5117705000148102,0.6167857555841605,0.48090740240260377,0.523853644163049,0.5356364046960878,0.5250327353562603,0.6383871374700817,0.4329365226148345,0.42222375540359364,0.6296817672134364,0.37093072093981005,0.3624744595597231,0.35363990636377934,0.4051940088691695,0.41135780975509345,0.461799715924174,0.5060824710132362,0.5540793439368101,0.6783300029149935,0.6589910210569402,0.6204624821275609,0.5535570026715158,0.5677691367076045,0.4483610691086782,0.3901953936509811,0.4023703576474514,0.3471929200434239,0.3742022192176338,0.35642649820325784,0.44381126808621635,0.40788814661470935,0.4196679914222071,0.42870654005930864,0.4692415450839201,0.45086436618425213,0.5517878629793483,0.5577693125025694,0.4736431359274508,0.5143710665604745,0.5189657218191562,0.7539978803139646,0.8066330138794677,0.6454212390263585,0.5151525442527973,0.4887908045237665,0.4634923453739277,0.430943645084147,0.41639389704822005,0.3946658622692579,0.44012409936789987,0.43726506043978075,0.5349904404764562,0.9602850720042028,1.7206045211659846,1.3058105140437635,0.580241575231095,0.44974423441638484,0.43551833554752767,0.42382410861592007,0.4647319377465505,0.408668847771782,0.4576974943113898,0.46078236191671873,0.46233474363920973,0.5176359843972611,0.5992973584500578,0.5716526355533998,0.7550441209229423,0.8053120237634518,0.7334590498108959,0.5718025594999784,0.48316086186466684,0.44481590726754044,0.4241867374972989,0.3956039003165551,0.4680164020878782,0.4926131103803357,0.696339279358,0.44364164215064467,0.4655875307300437,0.46513662492310603,0.42807963993188175,0.427721859356683,0.4538387391813038,0.4837201201535451,0.6380807039809216,0.7825552053998439,1.1313347861617566,1.5567730559280533,0.9998616532199228,1.1807263359491387,1.2784703526739165,0.9112892774381361,0.7706303796279279,0.5909365115806297,0.7822770008970639,0.6470804957894862,0.466918180349682,0.4785082142014416,0.43462249980933076,0.46001254595528235,0.5281263725086299,0.4565952770631003,0.5090085506197128,0.5483641988487725,0.5919050875407803,0.6591946895188174,0.5832581102999963,0.6973669729448722,0.6602283653383229,0.6207804537620492,0.7456860591927483,0.8821159068074605,0.7899738079506726,0.8273774678878609,0.777463805572638,0.933257496609643,0.7656528934578898,0.7210863448838534,0.7707607067995637,0.7880100410550879,1.7479158643625057,1.0038298492777031,1.2797876488968782,0.821623339534581,0.7450558426792694,0.719467649418347,0.6725263661402886,0.7976897456208569,0.5914259144072501,0.5983825714134459,0.6309920209016686,0.7354544920235483,0.5641674430361981,0.6952996736890595,0.8186914631974301,0.8335081096173073,0.8397384354900124,0.5313645703281098,0.5717320077555449,0.5571377095743335,0.6668306619361021,0.8621689605009916,1.0158086927555736,1.0484769652273374,0.890767033750205,0.8235020118359069,0.999140881270304,0.8856022669007255,0.8132191628791968,0.9880449128460804,1.1229666970296357,0.9119388367240162,0.8925031585863594,1.085942871521615,1.1548740172380292,0.9064842765074638,0.9283892692521248,0.7858533632129338,0.7501449083137632,0.6853566450494077,0.657789460216619,0.6838696899469258,0.622138173795444,0.6105505039562141,0.6566969582311951,0.696961694291673,0.6503919784541543,0.7138828146995082,0.9609930982390448,0.8353869434544559,0.8383100678157243,1.002670510170602,1.1392544927330952,1.1163381763062505,1.0143299615226984,1.168290591145929,1.0476349616517833,1.0366668265609478,0.8111984860001037,0.6804317088561738,0.6225174283974643,0.7904337587017,0.8372642343104861,1.0111101381260328,1.051743952624829,0.8104204897858247,0.5440479925884113,0.4500510254660238,0.4709615930478547,0.4941578064284968,0.5685941476640461,0.8844524891822388,1.6367794209789117,0.6369930374210949,0.9726192250678366,1.176219616051574,0.814044350144547,0.769289495967825,1.2131755277081284,1.2606747586182692,0.8515950455438325,1.554702955009484,2.1139067446868176],[1.1500114402528523,0.5776787723669697,0.4464226226493219,0.42563994765903423,0.4975827158699689,0.46162016814747314,0.4451523301538939,0.47141877113601544,0.5309463480856749,0.5699724909773219,0.5967560270706506,0.5966859603483124,0.5977445798553978,0.6608897607190765,0.739174171354157,0.7073969384519747,0.7163254195083848,0.7967980742553532,0.9157678332160784,0.8496596646252252,0.9339486436703835,0.9459929090316648,1.0932562162930843,1.2127698322720617,0.9940111610120943,0.9550530001099453,0.8656702389343396,0.7799752480683283,0.7450631772034926,0.711152340748659,0.7728842239378767,0.7032958484265316,0.772239129818123,0.7972770260542438,0.727540176608043,0.745586015853371,0.6799327295351001,0.7561240900989697,0.7713911300584131,0.7636373898776012,0.8872414715508145,0.9097148235259875,0.8885362188821762,0.950360779775792,1.5738567359575601,1.5608045638774615,1.7121331047993436,1.1192515375129597,1.5538748552081878,1.5310200879473512,1.150906768802592,1.7400603970090953,1.5020794209294628,1.5654152913634405,1.6279188933391642,1.0086002540520995,1.3314539078760321,1.0017863684372441,1.1634835132554207,1.4223178421303517,1.2778185202786723,0.9684393711792567,0.8615667788897647,1.1309291364524887,1.0093324166046909,0.9365752796375963,1.0076274963095793,0.8973832670915671,1.0635401884366136,0.9826367234105104,1.0602280142243397,1.3506621063956346,1.1199356985907507,1.2542056793716385,0.8916320640880676,1.2781962340793631,0.8640950383211347,0.8509561291369153,0.8027767189474531,0.7815913781141544,0.7384670851175116,0.7548273917917373,1.2441730261805066,0.6864374065178095,0.7924691584135669,0.7053241764785232,0.7433320648310517,0.770738052326246,0.7692261003730523,0.836871387126044,0.8236878026843654,0.901860438436658,0.9000810345119563,0.8343348878447503,0.791441096565368,0.8550997591922685,0.7954462793128324,0.7314420756680795,0.6926813543699277,0.8368892038046708,0.6594391544770082,0.6881901315062131,0.6193904777716442,0.6113003966069998,0.6161845208037026,0.5908997304073109,0.6713803768732609,0.49629998326623154,0.4723271416522539,0.6632439251837784,0.43707524917442203,0.4805406135548585,0.4842644948523909,0.5625389311234174,0.6341178883486333,0.6839703870332134,0.772883047557241,0.8494346031785952,1.0054149987267813,0.908060715181882,0.8904812757645721,0.8107542199237704,0.8121087534889981,0.6553808049514407,0.5574328748219525,0.53790670467812,0.42745711550026927,0.4685290956023011,0.43798550292654936,0.5605440149097646,0.5131321176288719,0.5082557609369559,0.553950034423389,0.5716349707797317,0.5867925288795341,0.6835181974259059,0.6791194321100226,0.6377738151309456,0.69736665418303,0.7361785853191611,0.9874244790139576,1.114357786204683,0.9370232901838662,0.770996798672793,0.7441600974997208,0.7197170747297343,0.6704851061713912,0.6249556343037411,0.5516140345583826,0.5617760848636381,0.519895450832706,0.6035849303728741,0.9929153868269164,1.6983331847344383,1.262120830502904,0.631740676678174,0.5783499945627163,0.5427163043061074,0.5915363927561789,0.5781368402774018,0.5705621505593703,0.6484368788820412,0.6908154887414092,0.7012705373608239,0.755362199724108,0.7912230762074348,0.7763502410736658,0.9482695804405405,0.9289842189346762,0.8826685752085122,0.7325655111714048,0.6773155558040833,0.6478313355117349,0.6012304909258244,0.589558098767459,0.6098002762548911,0.6645679280898571,0.8093625941368209,0.6387215500748064,0.6126978052639108,0.6294129437415995,0.5560451504731571,0.5536688185324461,0.6118850916843157,0.6688804011242245,0.81918410582739,0.922547655084964,1.2655260803813657,1.6274207355528811,1.1319991166899686,1.3180052224927494,1.3757083239836143,1.0429736006127124,0.9047081453327804,0.7310976061571786,0.9014790210456587,0.7369834725006811,0.560960960497977,0.5656473124298445,0.49330761923899996,0.4958390515553622,0.5456442025765927,0.48948737042272383,0.5505225500900385,0.5619840752906993,0.5985270260941654,0.6837954439271448,0.6090594277831969,0.7020426383707818,0.6734761319060033,0.6569095768680078,0.7743144869593098,0.8865677948123991,0.8119022470043462,0.8823110596148488,0.8328641429861597,1.001912859092078,0.861586768874023,0.7834896154859455,0.8117226764669421,0.8271030211734517,1.656926338036697,1.008864798241931,1.250821853696801,0.8506807648815542,0.7557003528260168,0.7270435891014052,0.6906318203928706,0.8520283675218923,0.6308242548677961,0.6168790322333133,0.700845712969457,0.786526105362429,0.6323864670445787,0.759636639663632,0.9382994177880483,0.9157613149900217,0.9075692720464921,0.6068852357936246,0.6180158031742848,0.5888548379726275,0.663996333246924,0.8508005952955239,1.0149194103695214,1.0401925502671856,0.8900096533968306,0.8251647200699236,0.9733318007026717,0.8919055780312415,0.7994581363425767,0.971749805546409,1.1150008511445757,0.9014120716283921,0.8801566465146613,1.080390798465733,1.148701406438676,0.9069355175918845,0.9322690196228827,0.7916850483875925,0.7472483723781128,0.6806015193900298,0.6553235685235335,0.7116167143837678,0.6474371230536371,0.62971335802441,0.6999831897806005,0.7430159447509321,0.6955089303400487,0.7845417423382914,1.0432233466983698,0.9032174681453544,0.9215594672343497,1.0775861536952682,1.206656663727934,1.1820254940854595,1.0806039913553758,1.2472097912435112,1.1387464579843287,1.1597753330702758,0.8977362700890031,0.7391625171025701,0.6866275985960809,0.8319983501386269,0.8834252376442192,1.0680632084970771,1.0862415073710971,0.8490528444552945,0.5899137658174907,0.5220035665520779,0.5376493048158554,0.5129804259561198,0.597227271273342,0.8833806478492972,1.6216540445694125,0.6603465895991631,0.9406107764621581,1.1309121565205311,0.8137252775415446,0.7273051893520656,1.134439175780054,1.2645432843414515,0.9601048185835926,1.736404416470478,2.312845737470688],[1.2345209429881503,0.6446988215783047,0.4649348105181982,0.360149844106782,0.47221938184527523,0.43111759774995073,0.3408781732625416,0.3967612352147038,0.3966207182448329,0.34964904253041507,0.39213842044651614,0.4387995567084125,0.37232469699045284,0.40674852731466987,0.49284596565662075,0.44612313359615996,0.4620162226335877,0.5340021222544306,0.629667569212172,0.5578006871682177,0.6308621907228374,0.7019121684304662,0.8072740211428795,0.9566903106358466,0.7479977952742887,0.7029400834533183,0.5858498866988012,0.4741626413459863,0.4567124713807379,0.4463657627645979,0.5304397185767277,0.471769574569052,0.5724957314864123,0.5451682565425535,0.4762679211790013,0.49158526354560367,0.4291633512359828,0.4524833232102838,0.46765719255199645,0.4710687865104048,0.6637328320505785,0.6437443873606001,0.62419007309795,0.6513496494174452,1.1805370231398076,1.186013171996284,1.25378749196088,0.7452086139600909,1.5760347707324542,1.4980055620394186,0.9679968497536262,1.6412034037280026,1.3413493296717436,1.3342353704395,1.5588592019939254,0.8361048365749844,1.1564113439835855,0.7734318095030507,0.9784600847424382,1.1907822016395617,0.9945570755707106,0.7091276494341965,0.5994225028477432,0.9063419294078214,0.7198990710057144,0.6555470687469321,0.7469690200796487,0.6257590775546805,0.8139161631546948,0.7132316843643226,0.8987779105452282,1.1857269994098092,0.8813002425705656,0.9993557318937879,0.6399246664856094,1.0944052270816198,0.5713592379396957,0.5602669703369282,0.5196324947093208,0.5063126505756083,0.4784668730905002,0.5232953563759962,1.1808563154999818,0.462019259604668,0.5802766299040734,0.4676445831420848,0.46636546180618726,0.530219233227233,0.4982856135753967,0.5798952131998395,0.5441150023339963,0.6658352431437132,0.6563221040896685,0.5893524683627025,0.5552884686946145,0.6280659128659055,0.5984011931076608,0.5294336520754094,0.4971074841026794,0.7476723195951027,0.485471758437402,0.6301042684517739,0.44648834279483424,0.527101612403767,0.5621260602371454,0.5374229372392644,0.6807750002620019,0.45658014749404735,0.4707861977647948,0.6299073257281276,0.40334820242618363,0.3587222846240674,0.3418613852335386,0.371003676473613,0.3914745493280306,0.41496414427753203,0.49092624293580567,0.5282221943835632,0.6784601698612599,0.6605148616510795,0.6159810162451035,0.5475821758274223,0.5310791365738408,0.4111653217300374,0.36629025904127666,0.392605514098773,0.370792683965055,0.38354295423886176,0.3638834237718555,0.42261081409548656,0.42684092585666056,0.45661426106059927,0.4172686493477525,0.43332147662758497,0.42293834376854483,0.5172122170800899,0.5536226927690147,0.44128926662639273,0.4643760650157184,0.47385072027484926,0.7187324300109238,0.7791243959112414,0.6163046527910572,0.48162307122305315,0.4623904750907242,0.43555444422454487,0.4019757562531881,0.4179312006518349,0.39399629177364753,0.44319377841820545,0.4667302854507044,0.5462887402012757,1.0376158976964913,1.708389487855428,1.2259832240223874,0.5981938908193176,0.4496032753631516,0.44874886069042247,0.400311721942848,0.47774832009379764,0.4238918743897471,0.42246111510697293,0.43464619875718474,0.4260382313591706,0.4882138274394906,0.5732885321712077,0.5512453687921895,0.7869633809083998,0.876651750500069,0.7688120940016477,0.5729223724312854,0.4487002213878647,0.4181450072991973,0.4045945199537734,0.38361487313033427,0.44726610054266436,0.46422023179529287,0.6671613179799051,0.4244863084233134,0.4206756173967059,0.4432060843045078,0.4263442074516811,0.4093800312554371,0.43215087656221773,0.45885231153165273,0.6049816643543634,0.7505914717465,1.0796644541801026,1.5777805243844067,0.9977322675370223,1.1101052607888213,1.245251894544215,0.8934241880845933,0.7688227962052181,0.6198080510155122,0.8218900559664359,0.6656864093413302,0.5266154396294389,0.5713011131488419,0.5007480377215564,0.5471856144554503,0.5583745959592498,0.5149031242007883,0.6117529490867215,0.6096552947486904,0.6115685227916804,0.7563853574053295,0.7027715611399273,0.7467294542705828,0.7171558127091365,0.7393089123957525,0.8373283766728193,0.9045835557450916,0.8623995881785183,0.9580918092406221,0.9437110665916271,1.0853127358315056,0.988982983811725,0.8889097662459082,0.9163352550890579,0.9134955034399851,1.668031167986899,1.072245702331262,1.3424514386795119,0.8813823526765224,0.8087027947908964,0.7894055808807744,0.749541503074122,0.9874743405093529,0.7159291041265557,0.6470223447234981,0.7361530337132798,0.8490243555522236,0.667304126837219,0.7532178866390912,0.948359286362404,0.9748114536573593,0.9602334747716225,0.6627951068277478,0.6148060645608335,0.5740673725257629,0.6460005639269567,0.8003360667134636,1.0023874119806797,1.0013850283847454,0.8533317580949628,0.7985530862067135,0.893777667543084,0.8391920481020301,0.7724703072227185,0.9448734995768736,1.0829631417090049,0.8855050273375683,0.8871032298961218,1.0687204168217797,1.1453300952780043,0.9381588256934396,0.9737879535262025,0.8493916119468129,0.8000088756190596,0.7185653440738565,0.7145055633157875,0.80294541315989,0.7282011727845867,0.7140764111894524,0.8010482997699302,0.8477601766846036,0.780526712523219,0.8641393526206937,1.1553989849325639,1.010182479705244,0.9999814419587647,1.1331572961216694,1.2693356629634087,1.2700226275531437,1.1979081597872805,1.3234515831519262,1.1953975135741937,1.3028879581724762,1.0085953745556804,0.8647985271150836,0.8271644282899986,0.9450693965562611,0.9892360016907669,1.1470015363114476,1.117960869556271,0.945101886092011,0.6096185227585312,0.5249476430448088,0.5188645487343803,0.527247116056458,0.5843597453300975,0.8633840451027013,1.531544683878092,0.6022464773277515,0.8568834904315354,0.9735382136419408,0.6854261635474922,0.6492626702529363,1.0310252532610489,1.242588138961152,1.0934920987000054,1.9908179727527107,2.520909273386968],[1.0882295223215495,0.5603143685951644,0.4232214250187293,0.3460497047747608,0.4509532046464196,0.36518860841476636,0.31197735611922134,0.3339808057329277,0.359172874217737,0.34494594871392364,0.380542163592055,0.41723925367549686,0.36949215188682344,0.42441726815481046,0.4882101787271233,0.4558892558431027,0.48126554285765744,0.5770785870982786,0.6867021308085165,0.6154795904471468,0.7065580573585863,0.760207413024724,0.8913657474339133,1.0256895012600824,0.8301153843186981,0.7713276437800652,0.6566533968446985,0.5204563059080827,0.4848026617160121,0.43936644675237113,0.5417674963159007,0.4549090137055615,0.5382247943432554,0.537125944581121,0.46816028977651,0.49208499500264363,0.42729111877326265,0.5003284295990081,0.5103207059510189,0.5212518785941217,0.7236929697977433,0.7136051544479818,0.6901498517413982,0.7154786868147759,1.267144950839229,1.294534099862605,1.392568669741889,0.8284432614161609,1.5100563527660873,1.514290361559243,0.9803400388632001,1.5941447669735598,1.3411040965081156,1.3851298544685338,1.548939136947056,0.8407948984665761,1.135927591400443,0.7919267259561213,1.0085438264670032,1.2376830686728337,1.0498045218526304,0.7215917111653355,0.6075294427069904,0.8928848187098051,0.7759614823564532,0.710466512876257,0.7891608016153691,0.6577220618136702,0.8807219718737382,0.758619622973918,0.8774610302333012,1.168549808227771,0.9138023839248345,1.0502750266522496,0.6925583163835762,1.1283769391479386,0.6017393322315399,0.5753987100027145,0.5249625120121018,0.5295279213243982,0.498745557370444,0.5547660163991972,1.1443461157466615,0.4389246278272664,0.622484398916113,0.49756899925369535,0.49713343771720825,0.5374022682423217,0.5051406307255463,0.5800153793166573,0.5669674632567031,0.7049497754268899,0.6873048548141,0.5931063459672882,0.5524765740128101,0.6253782953273036,0.5917317988383987,0.5086494923886201,0.4778019730407027,0.7230123579326827,0.466171016639977,0.5912271128483589,0.4183255155862778,0.46580384566571753,0.5184158694264236,0.47520005038818103,0.6269923255938904,0.4232383737236573,0.43783981442971565,0.6241616585576447,0.3516613096246464,0.3153355787318572,0.31372736995838196,0.36229403845965186,0.40125110848437406,0.4510580957245257,0.5232521035415951,0.5594164802179259,0.724585269929814,0.651775136383017,0.6335631796201221,0.5720591575692878,0.5538779982173204,0.4411822384850279,0.3653541419002179,0.4143161583980339,0.3473688870601749,0.3816536001030144,0.34940289767886945,0.3756433567164403,0.4228724724218973,0.4282997742491589,0.43436424928316597,0.3900200620487405,0.43676852764515184,0.52060245823994,0.5755702653796215,0.4586769526648993,0.48005816422564596,0.5013000834539286,0.737045870551896,0.8353603973866509,0.6758592136066014,0.5242159161241376,0.5118689010939192,0.4664847259067891,0.42730303712260287,0.40635425160602673,0.3498980259691192,0.39602073823797607,0.40556996951083885,0.5099244533521147,0.994861056416677,1.6564962986335912,1.2134408086256925,0.5479541250525961,0.4017323919553533,0.3839829488583736,0.36977133472378443,0.4287267858975817,0.39444176907927964,0.40820237756600003,0.4524314741128284,0.467955046592456,0.5186243272127289,0.6299908997984843,0.5995328276679452,0.8543171956890317,0.9100988427420164,0.7992883233333129,0.6056224774735864,0.47461873818483696,0.422621160250527,0.38370628143212643,0.36418247361405154,0.4084331628576299,0.4457863955674841,0.6424953769288576,0.4140108518918464,0.4115047719986863,0.4305713899143262,0.36220584102013953,0.3648315647589496,0.4517314854924645,0.5030581828780649,0.6754297412720996,0.8255585647657286,1.1398748315076237,1.6529869405431334,1.0952902067811483,1.124967107699453,1.3152986744515691,0.9421165983257337,0.8156563394016972,0.694216237248035,0.9251860957839633,0.6962383664922978,0.543511198256255,0.5800404756747687,0.48238552798139567,0.5335521945010397,0.5129678813199999,0.47604600101172473,0.5966100417044942,0.5798869876668523,0.5797870163937003,0.7182630827060121,0.6626709675979996,0.7008271674055278,0.6816524280736671,0.6925706185305556,0.799450600774095,0.8837127031903668,0.8359630681971145,0.917717516152853,0.8903947717144166,1.0598459271431167,0.9738041780433193,0.8729761487615659,0.8816003835609303,0.9088133206573702,1.5962148247671712,1.0852654870446905,1.2517069339782971,0.8586031791800197,0.7815056553821637,0.7618661923689904,0.7397945928319083,0.9925651546882082,0.7144902016965669,0.6301723297609159,0.7678300437322474,0.8684687595968305,0.6741448196602932,0.7946142207698744,1.038783305697105,1.0392446778415068,1.0078651399813499,0.6790857263544493,0.5979748236892366,0.5470429433763562,0.6144137148424904,0.7666888917384573,0.9573114307898819,0.9432905708137784,0.8019028051524071,0.7634248843785525,0.8481269242738492,0.793643872976841,0.7320757582088173,0.907698469188206,1.0561063261748598,0.8590183994315049,0.8491375335902068,1.041408193003525,1.139810386758348,0.9051812771389794,0.9408263770375133,0.8146522052944566,0.7655122086306773,0.6621573351105572,0.6680188365016928,0.760137925695403,0.6887884805038739,0.6876700260925735,0.7840241698507703,0.8225049155309911,0.7744047057081699,0.884603030859196,1.1669681884068834,1.025797744499373,1.0522366851726188,1.1918995889931872,1.3303163366327506,1.3052981821030556,1.2224154391608173,1.384042336347449,1.2549988878299032,1.2891116347768439,1.00285738081538,0.8444099481672993,0.7891300264374119,0.9149116878700132,0.9708680935003918,1.1686226558871504,1.1310919194644127,0.9482472278093966,0.5942329680822561,0.52238772745672,0.5158115565772159,0.49126994621479414,0.5247514422079058,0.7852028513758714,1.4384962382933657,0.5552204271305637,0.8041790178364326,0.9328728226362821,0.6513945572556996,0.5771380783050841,0.9698582516712173,1.1515682026415166,1.053681060816077,1.899390519091741,2.393342921951759],[1.0588919113354844,0.5778599288345293,0.4511348998678864,0.39709365566378085,0.5320942932549199,0.4320016295548592,0.3837145645376278,0.39975434476621124,0.3892938072432629,0.344918104748687,0.3371111111245135,0.401528899852669,0.36186014552101947,0.3697860615057707,0.4352454670447778,0.3908146232290767,0.4197397757444754,0.47489907770275713,0.5678424603697599,0.5004810215853027,0.5798555245432099,0.700829977186006,0.7860187115293752,0.9131292059958334,0.7341632734662051,0.6734056490083454,0.5699841294202738,0.4335364292033184,0.4141849855074871,0.3847000812547016,0.45546793531861424,0.4187752994012446,0.4969819345375828,0.46401641865511395,0.4129173060048373,0.42320463605718434,0.38897159344614995,0.43124843178175626,0.4230461283789392,0.46050895513619167,0.7090193594056513,0.6585567036590139,0.6269716929270529,0.6481889762118463,1.0774498707314748,1.1280324044245178,1.1429223389284646,0.6728949265297892,1.6018916011231874,1.6260833685394496,0.9298597207524101,1.5622352897321006,1.286615478764169,1.264782521298789,1.5559091723447496,0.8686537230825568,1.134986018017189,0.7326460345426028,0.989141443172207,1.1902521161456108,0.9576987496918168,0.6174720470931211,0.5088686657706715,0.7905574154839627,0.6465702808022712,0.5948634666211183,0.649792367782995,0.5372368036551353,0.7331313244464084,0.6650280883157111,0.8340505415296539,1.0973160138900548,0.8168106623194826,0.8995705799379713,0.5852859659534556,1.0274874283086182,0.4763031695659851,0.4554820195569741,0.4317381482392349,0.46690008446084447,0.46423466350326076,0.5158706444112158,1.0995857195952505,0.4349351834392388,0.565167797132133,0.47610748730859137,0.4475373763963181,0.504447116172878,0.41932407796999,0.5098532113428412,0.4712356019508556,0.6067193737254507,0.5762483868908426,0.501234564648825,0.48364622624455483,0.5649100559291319,0.5487609780994739,0.4849101063261741,0.46876452161601817,0.7280664209289492,0.4707767583551613,0.64605410052226,0.433679532363118,0.5182369911445086,0.5955123809977572,0.5362864546806715,0.7049406181156526,0.5074286747786877,0.5117799726131793,0.6735584137361801,0.44101434615890867,0.3978514407659041,0.3773919419896785,0.4021617231472163,0.3795332145467468,0.40271006294422007,0.46051273836054196,0.4486419121370263,0.5825562297537207,0.5525335852801804,0.5287614012084423,0.4710833500605216,0.46965128798205447,0.3879772408063895,0.3874134728802891,0.4820684649935357,0.4249086635414073,0.4223454956182871,0.41482334846274477,0.41906137919896996,0.4851895202695872,0.5167444502129124,0.4484354589138945,0.4678708627574098,0.4493430508110011,0.4938066710204456,0.5677055375404737,0.44017880023627437,0.4086556944631361,0.4042170184680394,0.6238717776134761,0.6661677935413532,0.5273082195349917,0.43743564914629657,0.4725406676993657,0.410521008892467,0.38373322620906125,0.40127858481672307,0.380815495322274,0.43526527404339493,0.4614987836050919,0.5348908142354843,1.0282723863124785,1.5998155757982255,1.15692078760838,0.5976676958361269,0.42395913654042117,0.43668547386991474,0.39470910995607045,0.4740496957734362,0.40091445399510395,0.39162169787920753,0.39862010282966914,0.4409392968941512,0.45095453606971825,0.5787469205185546,0.5689315101178078,0.8165047812819362,0.9127761872621248,0.7682717149705965,0.581742446099987,0.4224505108112581,0.40593873563368854,0.41278590582898445,0.3931711853937557,0.4338851036211241,0.43957959735555024,0.660389768298615,0.40536638400405756,0.41857800980257404,0.4658381556721842,0.40611958073797066,0.4260558561924712,0.4867043283200179,0.5344288473204433,0.681256053069112,0.8276213621394525,1.0851235525201366,1.6536042452869881,1.0472239372737728,1.0404527924230704,1.1831694811559739,0.8503378935588771,0.751961134230994,0.6511175641718951,0.8954648932777731,0.7068324190771909,0.6131469806929936,0.6497349184437038,0.5603523998725183,0.598030237986577,0.5773858536435659,0.5410060502210042,0.6506955022741064,0.6264948782111874,0.6200002643445333,0.7518688911838735,0.7032833970234545,0.7345958355014414,0.707636958877761,0.7222766410799285,0.8307671217710457,0.8998506204013887,0.8500959389941063,0.9371494027322138,0.9079816398798698,1.0989858181782448,0.9864082039553662,0.8923658725454201,0.8945211926550352,0.9399343263651946,1.6156425279410207,1.1021545673956947,1.2643239295961213,0.867580054975933,0.7993044753388511,0.7962049120186738,0.7904290577752707,1.0362267601483948,0.7551618406350824,0.7064080187077169,0.8373049326613313,0.9213807537157531,0.7472311208322622,0.8214406919695767,1.0485046305307326,1.0719798579731008,1.0308347298258134,0.7428736520139225,0.6488731809637601,0.6115658278028805,0.6658973789067458,0.775781195513087,0.9727197612369017,0.9529999379742586,0.8371971892404844,0.7658342456102545,0.8538466766541996,0.8072031167265753,0.759735033234598,0.943636307150196,1.0949365636240722,0.8967264404407242,0.8862617406551523,1.0757106077758618,1.1860529374241016,0.9375215817315957,0.9684437657070112,0.8448903092274318,0.7992625439531521,0.7052113407737132,0.7099310303415681,0.7967794614456692,0.7310521476511639,0.7355224399399864,0.8207477933438464,0.8516749251461303,0.8159329376078355,0.9113210159335512,1.1851122546886355,1.0558773701994943,1.0784286816421265,1.1963974063846983,1.316657698446605,1.3158727387428566,1.2612321738563825,1.378296124107415,1.277239724723042,1.3564159900471955,1.03396176153201,0.8856122367926165,0.8500984219921784,0.9779622803736822,1.0284578720105892,1.195197786856032,1.1475569677632576,0.9944768005262904,0.6353868714305133,0.5922284812382185,0.6016611606534866,0.5506943139200953,0.60445759062969,0.8406529923222844,1.3435906766984504,0.6032852713166394,0.8134456859407665,0.8773573170898139,0.6476002221694808,0.5956953839106192,0.9508839586408172,1.1255677331464902,1.2374327564661007,2.1528888234009225,2.5662004309871973],[0.9609060388677372,0.59204070980082,0.43224359686513325,0.34757668995905056,0.4490602555456652,0.38515651219084696,0.32017798778483614,0.33424014250385475,0.3729663085317519,0.3160833095460641,0.31306134324177004,0.37627275235908547,0.3234400742312336,0.34375877914965686,0.38113426542814927,0.36848676508502365,0.40887898725226135,0.4647547950325232,0.5794097514939857,0.5209726077733949,0.6146354991967314,0.7507644147184388,0.8542504461435372,0.9680794355362408,0.7973612393708694,0.7170494530361903,0.6179816319240271,0.4422201480273169,0.3965210152889969,0.3618029300016744,0.40723819878378714,0.39510879683560607,0.4440339235988439,0.4137649117196863,0.3722544050531989,0.41489566204012757,0.36064682564009076,0.45835369226815725,0.460282898129321,0.5199129096856674,0.7526305762294722,0.7070428428468656,0.6836973616619964,0.6799595625541393,1.151405521927855,1.1790094160308637,1.2644009712656639,0.7372306389224474,1.4914759997658817,1.580651156594218,0.9485584540610864,1.5626205186993596,1.3213922654315395,1.3704584243793532,1.5427031032883152,0.8534242554284863,1.1129060461223026,0.7769898754928638,0.9891126003364346,1.2815195417933818,0.996072117266657,0.6349345782633645,0.5035926952542505,0.8090840786932487,0.6815732607979281,0.6114212270581015,0.6383046161540337,0.5044082639128153,0.7076057260544956,0.6440776364113026,0.7847457130237648,1.033588207197321,0.7773419242870885,0.8768076996462254,0.5804012256765431,1.03430731538263,0.4806701056594909,0.43313620088918636,0.4158111196541918,0.4618216300040991,0.4568438289808423,0.5215121816995079,1.0193880753210416,0.4457653330425395,0.631722642307688,0.4674362346978936,0.4496336197258774,0.48142996943922695,0.4075951203981668,0.47110680935983146,0.4469339155646993,0.5901808308777481,0.5390564894472774,0.44707808642818225,0.4313453017137852,0.5023134251986829,0.4924231815385253,0.43890737066075003,0.42959626488443725,0.6708287613385031,0.4104265738173079,0.5579598642353715,0.36731019005081517,0.4444796892704646,0.553645735862509,0.4720927535042598,0.6185689196083959,0.44189477552566697,0.42770255504533466,0.6113362326053782,0.3623461849392221,0.3153038743393672,0.31488721680065035,0.35262555459236417,0.35818342427559147,0.4035911290498718,0.4783501024728325,0.45932279170455054,0.5947031793467802,0.5259082277034771,0.5249919979530695,0.473447783657933,0.4582534253695941,0.3742632120230083,0.3401556679767003,0.4281967265073008,0.35475611300709775,0.361270522210543,0.34373780767547857,0.36541009370953353,0.4226768480009484,0.4416583044443079,0.42244934804912343,0.3956941398907285,0.42870254387343576,0.49090961637627345,0.5430571824389236,0.43243529371246386,0.4017654548936952,0.4122194632946882,0.6325253494983524,0.7023577821828333,0.5331529718734963,0.43057343664191916,0.48368981051655763,0.40742517653021393,0.37424866565252246,0.37409811926449593,0.323411569345625,0.3775238366014802,0.390560521053344,0.4904377217891923,0.925493807949471,1.6005714564706093,1.1742457547372902,0.5236770636000397,0.37185943177441566,0.35332668205522183,0.34144835934751844,0.40041948646388004,0.3710290826599702,0.38245001640813997,0.39588543954458316,0.44369875985944895,0.4402753902387466,0.5991657950492778,0.5829084072184774,0.8324791236833804,0.8983689328977645,0.7659776705494188,0.5782124265537342,0.4408708190158505,0.40088106161822934,0.3809477896305165,0.3662595555326009,0.3913694641711123,0.4220846121020477,0.6051780255709555,0.39986453223685026,0.391314458449428,0.44652227099518593,0.3436661623829871,0.36928742775033224,0.4602935716455461,0.5205870539109987,0.7150897188152812,0.8913452134299068,1.1583363999316145,1.706664046521061,1.1369211696428017,1.0515399661194367,1.2791703333310218,0.9108645244438087,0.7960920447911605,0.6968475529345073,0.9371425460316918,0.6554006360756985,0.5419172689423567,0.5630502276454158,0.472493066091215,0.5051731372076441,0.5045059390509,0.46317676091070803,0.5368248877168799,0.5274283018589526,0.5552324154022392,0.6275775840490548,0.5820808843694513,0.6560383412011286,0.6604922831879457,0.628810613212784,0.7447979381904973,0.8792208437925542,0.8334111055305786,0.8564354075927475,0.7964563994833752,1.0013795188827828,0.8130709189367151,0.7503399514962106,0.7671298401514605,0.8355139150417441,1.493540191930159,1.0404361721342774,1.1791791485848766,0.8264973954583479,0.7184914297717945,0.6913844709029907,0.6885745596902084,0.9160101805825298,0.6530091965597318,0.6179576208232809,0.761911863634824,0.831679003365336,0.6565415957193932,0.7685938067043551,0.96573574280986,0.9667803221812322,0.9543568424582145,0.6327391173746838,0.5930953948958215,0.5299146257507505,0.5876666164374036,0.7394677301839327,0.8912415990125531,0.9223744125458853,0.7961611241661906,0.7399677756646484,0.8228364859689471,0.7876489481202352,0.710671070214115,0.8848302186345062,1.0550919660298297,0.8614448085961847,0.8242554754204151,1.0166815135285217,1.1563813744504048,0.8720056649899652,0.8792285670041234,0.7374564073589736,0.6846950868347259,0.612373453919881,0.607456182776256,0.6796776454779243,0.6048311626678612,0.6022637140470269,0.6914325227560305,0.7240084951330567,0.6874131428563521,0.7958415742313345,1.0678787608925835,0.9086139071824503,0.9715095466295222,1.1208474289431216,1.2333929241272263,1.1994195120854156,1.1002145876342966,1.2755710086076104,1.1238005464809486,1.1122650463022736,0.853201972681484,0.7048802290184678,0.662812120757147,0.7869174020055103,0.8340361355669462,1.052114876319962,1.0471467292490444,0.848163584251568,0.5351359161185684,0.4949200248877674,0.5200471299814898,0.5283718581758972,0.570679751853937,0.7971296903331265,1.3547181637552885,0.6146720861511953,0.8616979072665617,0.9463036081612809,0.6518382301014746,0.6386458584656087,1.0218772325438867,1.0646488388863184,1.032689692341126,1.6260010732113876,1.9574336982380098],[0.9856328283994356,0.6716110856010813,0.5916812733195621,0.4183437439839283,0.552950348654572,0.4672935039594968,0.4030773012436564,0.4161836932087861,0.39734177631829226,0.3264977107899109,0.33594048539889626,0.4026476269738134,0.35013280839988814,0.3527537902675871,0.39225281803370876,0.38145748096504084,0.41011605286691283,0.4641155008273067,0.5719140269955695,0.5179613528988147,0.6040955402308289,0.7606467336719235,0.853401324932392,0.9684526126364518,0.7995406646654263,0.7111034475748544,0.6147094281540351,0.4435463178681472,0.39995264839043115,0.3800097701528942,0.41632317353184145,0.413224581353052,0.4816271963463851,0.42955143347203656,0.38867518691083475,0.42019138282138785,0.37666621338202927,0.4600307076328782,0.460672444395478,0.5389052046910582,0.7841925690355703,0.7110543911544243,0.6939318790656488,0.6862614284152171,1.1060637803663558,1.1622719145385827,1.2244196949664257,0.7237116074133949,1.5086822732614709,1.652971231497797,0.9668497857640808,1.5730942621291728,1.3377154715511075,1.3579517932015233,1.5703989318905887,0.8966713423461398,1.1253912416191147,0.794200525680479,1.0028773369421635,1.2997321098369803,0.9912464607956543,0.6331830502946679,0.4921383688300604,0.8070632589200616,0.6771485144556423,0.6019374923433882,0.6379765157367362,0.49936321274708734,0.6996904346020535,0.6379589067820643,0.7865452928011372,1.0375371995355662,0.7779313244871106,0.8765275938020364,0.5827629718875209,1.0321876732741864,0.4747637572115826,0.4280948032654809,0.4174865465767547,0.4579058992668478,0.473910361023032,0.5524321445737819,1.0166381643442388,0.48777093526367843,0.6337352442754869,0.4788523241673758,0.46038636635399255,0.481980180166351,0.4065568946340435,0.48058214365308227,0.45407763819369734,0.5776468876898266,0.5318572109458584,0.45451573981751353,0.44223136205357544,0.5157071186269223,0.5006492123300174,0.47009999161114707,0.4673164452166163,0.7026718615733998,0.45576360819923645,0.6429005072307402,0.40814147648415416,0.5163063553240317,0.617970021697242,0.5550743444889172,0.7371463811797793,0.5583204964844641,0.5615658637622373,0.7116200095038457,0.4902999023226368,0.41824359294022795,0.3952889772498725,0.4019333537276614,0.38155661991441625,0.4210599354564635,0.49527734926010547,0.45528373072391465,0.584240137025319,0.5289006791940536,0.5277971568520584,0.4845564192401727,0.4611213879977271,0.39337779314691224,0.3822077407738488,0.4997360118583928,0.44627133052158335,0.4589607315533406,0.4556053889145748,0.4543005560244131,0.5342083306750965,0.5698293677332189,0.5144493731552097,0.4917335413976767,0.5010035445745206,0.5206818930961966,0.5995454788234778,0.4777245919055311,0.41217384380731104,0.4119743273566761,0.611251113455719,0.6802813491384323,0.5034865175963599,0.4106601748347595,0.4964785205998174,0.4152221133168306,0.394943845717013,0.404831257215826,0.392332574546041,0.44297075268862746,0.46963427409858616,0.5231180388390283,0.9516813342226552,1.5689161710828876,1.1179931771065694,0.5653491358398406,0.42923649278625586,0.42234181026456596,0.38833123999479635,0.4835326453144013,0.43886569796059705,0.4068835837962535,0.4066569685362765,0.45655509621397095,0.4691201418781648,0.6336129910483979,0.6276037813500621,0.898171348320365,0.9705670063044262,0.8059223430671074,0.6237524042716622,0.4736929984035057,0.4370682103141491,0.4370315902747221,0.4317821093323717,0.4441861274294917,0.46342321680133014,0.6378503821748042,0.4417957999933939,0.45673491630855184,0.5008706200699043,0.4281018155744352,0.4522879197565335,0.5474197101599817,0.6009441259154928,0.7689515917633354,0.9298355675624913,1.1663971279667218,1.7529843342675782,1.1700203846262784,1.0357766795519763,1.2377423415799271,0.8964690244221777,0.8227788423315743,0.7868607149620457,1.0191021610762123,0.7156622706866798,0.6684831974786071,0.7041277075191716,0.6052717526228869,0.6673327786169427,0.6457872053093443,0.6055510793678188,0.6899788774876726,0.677821664682645,0.6839913487196659,0.7407483330036212,0.7373943139635825,0.7917945307412019,0.7875136902717749,0.7780494481398691,0.8963049706581864,0.9997533409528842,0.9673161087678533,1.0036328521073565,0.9396100448681105,1.1665338343984326,1.001602203556274,0.9296178894373929,0.9366838673669773,0.9986868346671076,1.515624308078959,1.1767113544080547,1.3083914211040186,0.9805195391236834,0.9010996238124868,0.8904866853595782,0.8896281738691839,1.1470656082235917,0.8409943149440584,0.7726255110636586,0.9468968484639338,0.9991515460682084,0.8230626789259498,0.904922574607192,1.102177534202404,1.1292892168480946,1.0964671498932177,0.8014474914472209,0.7310297773607685,0.6712523813009708,0.7082586522613897,0.8083854733723753,1.0023849490418593,0.966277512040031,0.8756981319205344,0.8313601180625055,0.8701120272865756,0.8727027061803485,0.8057015635297304,0.9754821732566161,1.1283963719304215,0.9558739959543693,0.935775296543543,1.1242734997854031,1.2503986445430342,0.9997328501746385,1.019857219279378,0.8905126751535406,0.845011470399839,0.7484493729503494,0.771603780552246,0.8521413490488641,0.7645700008323204,0.7770972174865631,0.8728895103162436,0.8914273125364397,0.8497567494031031,0.9793796903957165,1.2618154053059067,1.0723965937126962,1.1299810305564257,1.2485744212109542,1.3369343073632518,1.3148627187304023,1.2396613021610776,1.3957123277188541,1.2690266086991824,1.2885917468161174,0.9960887392827791,0.8728759543474999,0.8750127976673051,0.9155877904177719,0.9627367604314298,1.1553933311928752,1.1096174209758554,0.980847952316071,0.6448885689172084,0.6213176318481525,0.6058712714136053,0.6553592515771068,0.6713245749712101,0.8576150377988007,1.2727965437998718,0.668070836408188,0.8497269872117273,0.8470929467366687,0.6202608992155658,0.6142207675592695,0.9499940903341929,1.0753445642064992,1.2482124873870992,2.023367553102889,2.3274924674095594],[0.9957520738233139,0.7449480710096599,0.6780670813673513,0.4910073689537574,0.6374749198553576,0.5005083253190181,0.416116697039725,0.42497855421397723,0.39526765926276275,0.3279398047741325,0.32483649210596116,0.3894655655401008,0.3393347727939917,0.33924041503456753,0.38200233038230175,0.3602360551285443,0.38694914402913416,0.43510965289384124,0.5426116117352473,0.4901596335788809,0.5748572551270326,0.7478398275790292,0.8307827542250297,0.9641308828281054,0.7938553809739282,0.7009751776602213,0.5970508192600055,0.43875850117731047,0.38606805200046657,0.37895673279223185,0.39058337326509485,0.3911836737697375,0.46049092338213576,0.4003488026484961,0.3635928955978708,0.40165054451203663,0.36125104223971766,0.44485134777136764,0.4644106510596373,0.5440003189331167,0.795047852888112,0.6938691121651103,0.6788718717885396,0.6835777986434748,1.0477996140588892,1.1292981964249509,1.160211129010962,0.7055011452996065,1.5459390846929641,1.7228631458379735,1.0017674674424994,1.6038202912029722,1.3557863448037866,1.3357714970947516,1.5979565695660838,0.9263906898955615,1.1395880451304494,0.7836912625003828,0.9902592442274376,1.294194525165617,0.968811116283251,0.6190475461985565,0.47495218658972344,0.7830960715583049,0.6456324098989595,0.5801230794757891,0.618204841742995,0.4826026206356098,0.6783444506514915,0.6231047147744273,0.7777946823171366,1.0411588757718768,0.7647240571170791,0.8531555809973008,0.5607046118572532,0.9992038812523742,0.44568587636996504,0.39344640319453456,0.39049403051429393,0.440944406507732,0.46167029467612736,0.555274098346313,1.0562204029984925,0.5179482820657786,0.6098092487661924,0.48715979359515116,0.4545801721687994,0.4488480866703182,0.38595444662429945,0.4468216562238137,0.43504291092070196,0.5548315576746051,0.506435667412575,0.43468454533920753,0.41880057268973164,0.50959256657399,0.49376309380116756,0.4462597044621207,0.43982931866943314,0.6793614149852117,0.45616480836773454,0.6416306994476136,0.428120490437474,0.5344340842914829,0.6831509717305981,0.6142150014361148,0.816838561013266,0.6460663521599885,0.6551809287990924,0.7778679829265567,0.5559650355936708,0.4811856806749263,0.4226099967031845,0.454433126384731,0.36832881686696595,0.429374306133422,0.500474804970022,0.46737400131635637,0.5575606273989048,0.5173844634987084,0.5160871915485109,0.4775471616975294,0.4486464708010571,0.39163025190756734,0.3990621617777761,0.5463713039321874,0.4959923117418447,0.516934894088749,0.5381262055606966,0.5363447892715612,0.6304800689673554,0.6768617844269545,0.6109549118020421,0.5866962689993406,0.575921693632834,0.5576108637702529,0.6564499337187945,0.52995268951868,0.47553451763994437,0.46187479461124853,0.6338964731966854,0.6927267675911856,0.5115413679713252,0.43546914121769437,0.5260299154146326,0.4284113311207116,0.4148360050619016,0.417747710508344,0.41732197082164274,0.45262065801986395,0.5114299820047968,0.5039549714111001,0.9436180781032047,1.5233705750856448,1.0535348063843581,0.5469076318648718,0.43068562633921587,0.4609983194709526,0.40120918023741603,0.523289675574623,0.48500554922806743,0.4448755410108649,0.4515831284700091,0.48509154907886176,0.5201113587766892,0.6782524287121429,0.6873533819484131,0.9506134976654318,1.0277492290508037,0.8498149866011927,0.665464253385136,0.5296196547744287,0.4787358757170747,0.4880475686781585,0.48058293783962314,0.5129750374390316,0.4816019900405362,0.686208126481469,0.4936899803060762,0.48908302321760344,0.5638255613807248,0.5153865545990385,0.5283009890584417,0.6193659247945653,0.6705156619725812,0.791867484614636,0.9261213253746655,1.1731115629159985,1.7790844849439338,1.1723799053260275,1.0640726592582979,1.204391916896937,0.9126406808519889,0.8676604075429311,0.8509182367811129,1.0858213447524472,0.8154322260987005,0.8035755010966724,0.8409024907277504,0.7255833227896705,0.8177564404617733,0.7680986062616991,0.7246895861219466,0.828246130983864,0.8277172210592775,0.7980319422052655,0.8596475388235504,0.8975516488515416,0.9253496589003911,0.8976887770026909,0.9119737504744536,1.0289394166933616,1.0980182987673224,1.0538440764462818,1.120779799286132,1.080243398300186,1.2924869301269608,1.1838035654338215,1.1090012590585974,1.0992924067524352,1.1522053496570122,1.6194102339066836,1.3304139218005744,1.4692246957120068,1.153194805085931,1.084894021338645,1.0643863746295146,1.0724777747546748,1.31878818815703,1.0166814611996755,0.9571787187193193,1.1341398275730774,1.1725563770212641,1.0121077850135478,1.0561517019121187,1.2356513544304213,1.2997743289880301,1.2067639550832152,0.9602555824644664,0.8747179047411596,0.8334857513345871,0.8725345936911991,0.9393105271517324,1.1163103717266945,1.0608252202222008,0.9870474138625501,0.9525197916937168,0.9606605919224809,0.951651849791236,0.9202975841501839,1.0894502149695888,1.2194425497949384,1.0677484085664875,1.0680737657361272,1.2330870390763817,1.3487945634738312,1.1323570632770723,1.1643251411133841,1.0431249174052255,1.0018771860695894,0.9121986879717516,0.9483010332665075,1.0264266279295182,0.9319148624230876,0.9505200920883312,1.0620582196444124,1.0726260684078848,1.0269022460114527,1.1820698124294529,1.4593345292020496,1.2587435066915744,1.2949883949666399,1.4052033994388038,1.480203945538579,1.465587227811253,1.402927982556857,1.5734138895390053,1.4843807330720509,1.4835522439723061,1.171887739486591,1.0353430186314734,1.0338592440300525,1.0778604266010592,1.1141302939646958,1.2796882624606112,1.2274624903529703,1.1034192887219858,0.7566563767579266,0.7406742277440267,0.7080545288064933,0.7523174395742099,0.7828108142257927,0.9476811394548051,1.2924708737678081,0.7313479850288024,0.8804332310192783,0.8061676994405323,0.5857584161884378,0.64123589820417,0.9238971938733905,1.101844584322927,1.3053710214695147,2.2291956862893962,2.593727488016761],[1.0227661774900094,0.6775595320268265,0.5756767255280297,0.4024676094680536,0.5738088575631303,0.4730748557910221,0.4009445418429802,0.42292746064100717,0.4123497491141422,0.34516484261488795,0.34558797740877667,0.40805227933630234,0.35307432385149984,0.366428057089972,0.41016657174813037,0.38159256900314514,0.3897643645578025,0.4431838524492444,0.5312759596976606,0.4856453929271847,0.5620663374576974,0.723591511291587,0.7918776772752013,0.9114571882706543,0.7484514238293004,0.6747293866185723,0.5679904735047641,0.44198008715776427,0.39993004820130984,0.3933574923841129,0.41350145027615604,0.41100077218181746,0.4773049994359717,0.4188497228173217,0.39262118597566353,0.41536893153026694,0.38156643061026835,0.42767188384999155,0.42958813757946607,0.4800893854512237,0.7635412521823989,0.6594418057567549,0.6371656600495189,0.6626123480835825,0.9970554264805129,1.1191423710074608,1.096941500833756,0.6796448789135033,1.6395641575965145,1.7930596084126373,0.9975334890231379,1.6112243356987281,1.3016575211958685,1.2614929149843555,1.5862564293973378,0.9123781196127869,1.126247041863525,0.7452068988879208,1.002194463252179,1.1987505957200033,0.9344032930948856,0.6191966276509092,0.503333567376557,0.7744644002082137,0.6349398184299092,0.5781424122384253,0.6196088950432742,0.511898070900215,0.6938973231349843,0.6530678216751842,0.8045050142321662,1.0698507738302963,0.7962993684611233,0.8522621457839211,0.581571157584023,1.002589412063133,0.4659755435974725,0.4214530833907343,0.40673718389984115,0.45459611606373757,0.47197328490818513,0.5266120749429716,1.0893344919344399,0.4884456487562884,0.5434994634977854,0.4621459030676114,0.4350680683534321,0.4887878930413631,0.3940710487525528,0.45767431437297906,0.4580568719441503,0.5827704003028392,0.5199682131210653,0.44882555682109254,0.43394332535037045,0.51515772009104,0.5048143233245526,0.4566052971524216,0.45277099500722573,0.6869815172267296,0.4678630497526714,0.6611505112104571,0.4407101662444675,0.5215489406853878,0.6545904232611751,0.5780450227812081,0.7756041878964832,0.5695122348684146,0.5772013558930398,0.7060157854821351,0.5024465246610653,0.4472828376626631,0.3997112297239939,0.4402991773811968,0.3749892924485131,0.42355596047545296,0.505917615708287,0.44307613390144107,0.5392183423301544,0.5204980539585724,0.5015838860700287,0.47526016392776405,0.43825680512638265,0.3897609533325296,0.40130529103850116,0.5169092707310652,0.4437960047273716,0.4466811883397912,0.4583712223862456,0.4840451060679112,0.544241719022212,0.6112563651350784,0.5074632709788313,0.5242723167417435,0.48650877071013154,0.5114404175430028,0.5568625184845326,0.462856864884475,0.4382818988736681,0.41816323953562595,0.5838257575378137,0.6328250759597343,0.4820760320967686,0.42181458105646497,0.5019974128745466,0.4126694471186317,0.3946430152730231,0.41286742492814343,0.3999456827546899,0.4400401218992045,0.4917420325690761,0.4941413048871816,0.9391834205534414,1.4993103461775352,1.0199536859391178,0.5538609295541109,0.43367972332908117,0.4579259735719336,0.4034725224145901,0.4925834419984037,0.4518021093030772,0.4106125421863513,0.40273931014188286,0.43399595069564334,0.46031612803169897,0.5814206802994507,0.5972372602592166,0.8484893659009684,0.9428978257313069,0.7703018294528886,0.5750501892778892,0.4446268481353873,0.40818343781406324,0.4267354546478007,0.43638230519447807,0.4810472123985189,0.4627191448738526,0.696316919439099,0.4634440268450249,0.4669127317533179,0.494372675335577,0.4503944864863618,0.454603893247617,0.528178598550874,0.5688028637441404,0.6918745812083087,0.8374165944996094,1.0704250723051554,1.6909384014639324,1.0433774732758325,1.0126025040771032,1.0888474125354533,0.8053353466287757,0.7539075671853481,0.7098833893983911,0.9498593926649771,0.7139589367305968,0.6781961653166569,0.7053679562683957,0.6166417895460767,0.668437313687864,0.6533621739698053,0.6133638132179642,0.6823478331769992,0.691208776126433,0.696245024238206,0.7324408137213272,0.7464510331978562,0.8126043249331095,0.7899076074932363,0.77458695187606,0.9007501187772556,1.009951062342205,0.92008106725377,0.9866240481092048,0.9270944901791787,1.1617521821255867,0.9933976623010873,0.931941606703823,0.9341089338593404,0.9762649735573379,1.5453431544691456,1.1716726592010145,1.3515032477779612,0.9799258364836623,0.9079687624171621,0.9051395700862259,0.8859071757218299,1.1099456225087287,0.8203236131931081,0.7927680923313227,0.9212937490901982,0.9814820576075787,0.8358781535811763,0.8817634016396583,1.077867554489714,1.11130600399637,1.0531766739786923,0.7827525387922143,0.73593031750652,0.6913102817578057,0.7524812004836188,0.8462154698567789,1.0359911925391718,0.9784881935443976,0.8964146541805339,0.8590774006023285,0.9001869639260515,0.880880963877931,0.8387340799326266,1.027044868431433,1.1779810221293388,1.0033064623981818,0.9843805792869847,1.1661074777434777,1.2852002085208023,1.0299553394054901,1.0560479096779265,0.9065332229179938,0.8627747729118738,0.7802403404426318,0.787220199495924,0.8653365318799725,0.7788110554553093,0.7844712707422073,0.8816626411076078,0.9006829471214399,0.8443959684387077,0.967737443184094,1.2497559763335615,1.0702451539475446,1.0890750681593746,1.2092506557387128,1.3049800918261936,1.312653420327112,1.2638404830258978,1.3882391181689528,1.2989081992360256,1.3572260846669433,1.0148611558073897,0.8849471261870187,0.9159137425769874,0.9511906510353244,0.9973025739366282,1.15419518363012,1.1150559282414378,0.9716622727745227,0.6462005814171873,0.6294098101015487,0.6369436907163908,0.6773720758108702,0.7463897078220662,0.9361944512040679,1.2956713737432277,0.6927775398977106,0.8586255909267241,0.7840765285059054,0.5470153115294174,0.5939500289387057,0.8993645495727574,1.0699507392101926,1.3033329995029097,2.259803108318324,2.648592961089887],[1.2258356592925141,0.7134594627107482,0.5916185238278536,0.49033464374843844,0.6089071377016039,0.6065461857455242,0.53907842549697,0.5860003382633876,0.6102038220772144,0.5702390519798881,0.5974487928902783,0.6484915696159853,0.5686305094980126,0.5857675220361525,0.6326616270213701,0.5981496012795049,0.5745982632078263,0.6100718111875234,0.6759915292522775,0.6124192322257433,0.6526651716068451,0.7075459116473614,0.8396507590739961,0.9413350415535212,0.7234202780309154,0.6970256601761561,0.620544369295051,0.5698041207156608,0.5874806760705487,0.5661759258384763,0.6298899803197928,0.6276411654373033,0.6765001044489585,0.6593168569071833,0.6030010096004733,0.5885118771030415,0.558205472272708,0.5524502591750192,0.5507127615619307,0.586129155628992,0.7741574114031882,0.7001131151016855,0.7235929391109169,0.6859324469401775,1.1083218694854473,1.104174568271817,1.0720388424493532,0.6793395015093204,1.5666944215396403,1.6296937498379807,1.0095808865960503,1.561216310495363,1.4485381625643812,1.3867432982963248,1.7117886061569403,1.0601538823908156,1.258885045114599,0.8785363339936479,1.096139077084838,1.23946935244465,1.1448048587560289,0.808792238094849,0.7247480817784243,0.9330852344848551,0.7371314444419422,0.7170901780166579,0.809033022046337,0.6919951014992385,0.8563081555807872,0.8050100249550093,0.935498431832985,1.2313336417832432,0.9603617762090793,1.0036421212726583,0.7560195908833727,1.118937344141378,0.6457390454823762,0.6546482991061972,0.6036257940956847,0.6695680403158938,0.6045308335139797,0.6389838942483452,1.3055463524728717,0.6082462155078203,0.6093845363828726,0.5989771141860912,0.5690063205268696,0.6311735449418385,0.5825060978520178,0.6580178346739443,0.6846883567020708,0.8149564389757835,0.7628346814145596,0.721910674315174,0.6936551763673948,0.7831091529595844,0.7816604993931406,0.7112990132847794,0.7071289642201272,0.9472897202453111,0.6664350460736579,0.7791969164621578,0.6295194330211429,0.6812532472817259,0.7519146588649893,0.7095278345872232,0.9128537278009036,0.5974164853098037,0.6047164895864245,0.7955965696171184,0.5709215092204932,0.5384586211230497,0.5322819835762661,0.5616924164539101,0.5325365270728312,0.5325436289109982,0.6020179591080274,0.5839500151427709,0.7130702521586881,0.6755092115602809,0.6700934530632335,0.6327260571324306,0.5853494885677604,0.5363686774053315,0.5408276005826808,0.5563270294046871,0.5120399998823767,0.5180845641486619,0.5027764110426107,0.5594885953847749,0.5301524514236277,0.6294066693090461,0.5115189595153484,0.5986403503698415,0.48011243447191626,0.5306574604085273,0.5605369819760345,0.4943792051410652,0.5186979750220009,0.502656334076474,0.682890704141023,0.7173437954748658,0.6270848188613217,0.5471785195681796,0.5358376319522354,0.5328001784707401,0.5121653103356356,0.5480623498536988,0.5462005849527936,0.5796321317794909,0.6323886115202172,0.6447182762383226,1.0004666371901496,1.579422480779863,1.2307845047761385,0.7627072458232241,0.6380692528160837,0.6375471023656092,0.5952220955567272,0.6467456641653875,0.5318677377863895,0.5282826813171568,0.5031401976553921,0.5334804170549741,0.5391347369545446,0.5497583634809086,0.5701598621513971,0.7844272832055503,0.8876333628916023,0.7335066358705257,0.5630650423354876,0.4628525513789128,0.47699006834746627,0.4950978875114116,0.5437185686557636,0.6258015175318722,0.6636404868628789,0.909777879813032,0.5957688391537775,0.6185071503709034,0.5567701866342694,0.5645588929578378,0.5291026148032055,0.5434119268717659,0.5723394039299944,0.7077999263843622,0.8518190089536608,1.0987021126715446,1.6319811546782907,0.950301432416233,1.1378761495124945,0.9832063164742234,0.7392538056666289,0.6938433777090545,0.6063161288506671,0.8366858332437432,0.6836290472812044,0.6349881196289072,0.6752395759917443,0.6126865797933453,0.6690235256680013,0.6906090845341445,0.6330307804192292,0.683773419239623,0.7281085989822821,0.7364998687890291,0.7377785016472269,0.7570638574342388,0.8665353692345364,0.7966042594167075,0.7966848882600566,0.9515902945785024,1.0460277828253464,0.8953465819845794,1.0152851998203118,0.9651542628425482,1.172501286255472,1.0375444373529648,0.9621027177576686,0.982414525866073,1.0065510491523402,1.6400154414502008,1.2108556967333186,1.3897809955581093,1.0038899628362539,0.9448673681462955,0.9245490438064309,0.8982894419065137,1.0795966817930718,0.8098152049622035,0.792885232863651,0.8683291495905454,0.9503023806026358,0.7953195800998447,0.8402799363687463,1.0083581706990385,1.0359189273517793,0.9730684529624514,0.7386117934817216,0.7178363032253761,0.7066830028978242,0.7886919365863203,0.8946228610211506,1.1265439887765216,1.048525820742071,0.9415090670698478,0.9563672847010729,1.0526013951204771,0.9931670548884862,0.9361861353474519,1.1512491098224884,1.295056355033799,1.1066237608483758,1.085547395557912,1.2800161186369943,1.3449368799368115,1.1022716642247328,1.1611629388773221,0.9813578686094012,0.9420711449433474,0.861868257484369,0.8415007060003749,0.9196679302762705,0.8242258379511544,0.8105363634885657,0.9033186538050267,0.925343248095243,0.8250304111811428,0.9354124647136066,1.2464932421869757,1.053362477529178,1.0260198484614174,1.179642862337679,1.3033318524269897,1.3172625146157237,1.2855445120950604,1.4045392024429901,1.325406212069936,1.453740218763148,1.0403204559035966,0.9010773111593114,0.9227510437251443,0.9717509040562083,1.0044377742174309,1.1376616804695459,1.1048005542107864,0.9561808619381786,0.6425148335679625,0.6074144713799844,0.6387951454169091,0.703540041863174,0.8286178800539226,1.080015827069582,1.406762513546872,0.7483191354669704,0.9924305512885752,0.9458175614356035,0.7417884623323868,0.7076339190390047,1.0317251499338096,1.3169010003164385,1.369087486764979,2.528703972316245,3.2050738471766627],[1.2572982036696947,0.6870716859246856,0.6522276561269759,0.6251043605100007,0.6819317517818657,0.692136193362699,0.6428824186701253,0.6828832591928466,0.6783856340373631,0.6346669704999873,0.6530177105322468,0.7067131956319128,0.6482577605071707,0.6392477561474038,0.691486679510326,0.6685023697186141,0.6495242957868901,0.6856179701526928,0.7421145043070154,0.691460613711964,0.723239601192474,0.7470609431126012,0.8576239535202219,0.9761045835633796,0.7601745031859023,0.7437762507337145,0.6903455402933969,0.6527669085312333,0.680651678489034,0.6676887008348696,0.677754967977067,0.7038607454368146,0.7098189597319898,0.7015425115895411,0.6823293042906677,0.6595205829867984,0.6757254460324651,0.6534893626668413,0.6654061766664745,0.7050948014234005,0.8263636796613688,0.7737297697403954,0.7881974294901058,0.7705412994411557,1.2041433313737904,1.172098592774778,1.1225417022036401,0.775783754327839,1.6292173217227293,1.6053431418039539,1.0589809108405221,1.5365342000503293,1.4624821846173393,1.3886577035186949,1.7569487602740013,1.0986844904308841,1.2690961858159961,0.9259533801513573,1.176043740105724,1.162608690767025,1.1588476475868226,0.8681862537392233,0.777142078262709,0.9753614154766341,0.7874181241718757,0.7703350737115486,0.8838536541910504,0.7689222352621965,0.9170950359810613,0.8519438790325194,0.9956105055612835,1.3177075824653732,1.0049393951971128,1.0666286884841687,0.7801423579625494,1.1040328788387708,0.7031858534656208,0.7085291395800718,0.6721704542689674,0.7349201918314708,0.7020690460942554,0.7588278397384454,1.402845450076956,0.7419075237217526,0.7444232567208884,0.7315492690583361,0.6725832464316663,0.742709187734329,0.6631441114169102,0.7286071453339805,0.7299147937078024,0.8315359767876531,0.7827247433430103,0.7440660720276209,0.7208588086062069,0.7909935486692657,0.7878030477856978,0.7403420548503921,0.7463289599924182,1.0143576013652214,0.745409297949017,0.8600751470765081,0.7297587619683986,0.7732134012590155,0.8190674866067269,0.8105741181255213,1.0242205044327874,0.6942829888474411,0.7025689795007782,0.8966449470919041,0.6774850942925532,0.6602614984859512,0.6530512530419301,0.6632898218622896,0.627993451627401,0.6266311793639687,0.6731229738247316,0.6560692244727566,0.7612392888128062,0.7390720981650127,0.7107601683738471,0.6772536121104755,0.6660255779043905,0.6313202719504217,0.647306181528468,0.6459091800143226,0.6288945140548993,0.6507535942504962,0.6199427482877414,0.6747172107527369,0.6425072154083958,0.724423944870358,0.6319951043857747,0.7349640288957836,0.5995507533837607,0.656960550656906,0.6822438380924276,0.6151096560412455,0.6320122041098644,0.6084453512049567,0.7682459415841512,0.7652692221501738,0.6969435319126531,0.637231143130738,0.6138655068932658,0.6419069550405863,0.6232306016133347,0.6637314070506919,0.6544355517498955,0.6760205391947358,0.7146214066828428,0.7230633786374071,1.069883245950845,1.6023423797500536,1.2727620158566308,0.8426053497761583,0.708546309878486,0.7201455948755148,0.6905334424223187,0.7410149388352804,0.6336034262981459,0.6354879731178017,0.6340177585260613,0.6595650179101676,0.682436800298478,0.6517927517295707,0.6808231259207472,0.8391809199169391,0.9433001760948287,0.8264381264861663,0.6827459835804222,0.5899160030365926,0.6099006403581005,0.6172201803060532,0.65516997809581,0.7283555598108646,0.7848681778742691,1.0154684162420147,0.7177003082689699,0.7553879470522707,0.6519269717006718,0.6745406910914069,0.6517561267423249,0.6570222271181878,0.6679828633439596,0.8006072609506375,0.9179077466345694,1.1749300004159493,1.6350723445158315,0.9941182076807932,1.3181398765348358,1.0076115201442686,0.8082694405445482,0.773295709716116,0.6784583448182939,0.873142846990415,0.8052151519572089,0.7311262425119336,0.7764245974856238,0.7268488782833867,0.7800514985092951,0.8121258406904874,0.7494244412184633,0.8044481110813797,0.846565410670929,0.843819687452451,0.8917179555932868,0.8618158212479027,0.9679735341802274,0.8879204919424243,0.893456255455932,1.0292615099489306,1.0968736830551153,0.9585132969920801,1.0662535446640111,1.0541672576313375,1.1805858809861662,1.092896254804064,1.0297392839018407,1.067849096136569,1.1171094127555108,1.8372620156827788,1.2318086968461164,1.323959169866488,1.0384031814803423,1.004838598828015,1.0016086590227564,0.9644842609586238,1.0844495387806234,0.8890989786031482,0.8960155974826126,0.8939095821336653,0.9876588469952118,0.8624599381204869,0.9181077248997519,1.044516390873569,1.0402457294711016,1.009732374007565,0.8214846231275513,0.8289168885364762,0.8281271558250315,0.9108358899067394,1.0331784518616278,1.2783707997142784,1.182529929488151,1.0675173679576857,1.10051689677066,1.1958603807721406,1.1280589973986686,1.0700326810902,1.2639670579865063,1.3834935758728197,1.186130662485665,1.1811392824581195,1.3656659328276575,1.3957722142127822,1.1687418170869435,1.2306222999867822,1.068311532896826,1.0488402147020468,0.9977996955710011,0.9565636350415118,1.0058179894755712,0.9356145975821473,0.9191094391260289,0.963517446599925,0.9766700875959267,0.8953189674957056,0.9539212309432292,1.1706584122650534,1.0702061034482693,1.0403507087719643,1.2030558534729159,1.3497398616234095,1.3546526764496412,1.3280647527409037,1.373915729969421,1.3067970723250224,1.4482832179159504,1.0905375722436943,0.9847315852961069,0.9851780783146291,1.05552321795426,1.081859088056013,1.1713743558929082,1.1666049578088618,1.0432951312196583,0.761146910364935,0.7095916140064005,0.7020962595534409,0.7587252332094021,0.8648712629382365,1.1271483931345556,1.4398056671851416,0.7917990208259255,1.053775361351246,1.0393606674463958,0.8970454121174348,0.8051192162550004,1.1013412905436728,1.4290024810758686,1.4250096821757,2.639966073624853,3.461498467323869],[1.8737672982212665,1.3760876775821385,1.233979094270952,0.967692526568689,0.9967707249910576,0.9486296103112876,0.820353158431583,0.8564941913320223,0.7816310483620652,0.7280250521661235,0.7418347328485846,0.8336467823899498,0.7331678742227992,0.7412628388042328,0.8291339969716084,0.7847725731491341,0.7647813421711063,0.8216479461265668,0.908972794819711,0.8224025428006133,0.8845015745627576,0.9753848454202236,1.0458523148666037,1.1918596379570425,0.9497073118144209,0.9475292409936004,0.8171664384305738,0.7483285569178146,0.7674603508093758,0.7476435139518347,0.8193477978385464,0.8207780480105209,0.8636338275066244,0.8492146556672167,0.790250531758288,0.750048211714896,0.7737449329330498,0.7585591925868209,0.7350873277417357,0.7953404943549602,0.9121721810451212,0.9095801017570143,0.8874282883145879,0.9045821013492323,1.2020753135836444,1.1959836489495443,1.1073745690318257,0.8605869936989508,1.6729964507104278,1.6647581545333585,1.0948663268677574,1.5880116771169193,1.5177075148730752,1.4211043742886846,1.872155465911872,1.2224981442250829,1.3089210573825274,0.9792645458309589,1.260728890303823,1.2140843059755433,1.0903308166840195,0.8779216759371797,0.8589136848475201,1.1153858261335219,0.9355825943510366,0.8776179805884553,1.0200052383414397,0.9202045644926992,1.1271443460507797,1.041155758168606,1.2593381307669198,1.6311236824476343,1.2189248586190604,1.267873422058608,1.0048633571020447,1.441088707167565,0.8667692875546776,0.8581154037731513,0.7910584622452506,0.8071823405336985,0.7889193004989113,0.8254570837114186,1.4646277224008284,0.8534349192218902,0.8124939465768306,0.8102101694566303,0.7708959144462334,0.8025556230925758,0.7573865369665376,0.8341431328613468,0.8854086171582211,1.0514472660650813,0.9804103110593102,0.9184474992444963,0.8865358286404063,0.9679081914279087,0.9310150646608526,0.9208000717696747,0.9024336703650148,1.1063371627736895,0.8694842234120275,1.0390047520502286,0.8636144295058632,0.9458715960389295,1.0528258138533435,1.0468594760705268,1.3439585719069735,1.0649886079293545,1.0820952228109468,1.172364874142761,1.0039100691019538,0.8786981341642541,0.8208171084515123,0.7892905668295255,0.7215956716927548,0.7127389952319395,0.7549079145306878,0.7403059073998315,0.810322284520772,0.8269446442420668,0.8160560533478345,0.7748003291570418,0.7492969878159758,0.7040918551322795,0.7437590544905252,0.7915328584487156,0.8580526497273417,0.875750518600218,0.9345750387703734,0.991487276757081,1.0070984846354523,1.0883461306980575,0.9919903773850636,1.0239522902061524,0.8897230648581808,0.9015772465796716,0.9893892746404926,0.7923830185706289,0.7997868605256145,0.7508111662120927,0.8749316180442513,0.8579918845962557,0.7755343933935606,0.724050971965828,0.7497138034605655,0.7386884583676262,0.7186798151069879,0.7732488499036589,0.7903852981318391,0.8222575266493761,0.9066493787186847,0.9014188365345468,1.2215573958091521,1.6210632950978552,1.3120802284131396,1.0072484571024025,0.8539663533492698,0.8757550059073035,0.8077996873783303,0.906103277248329,0.7880465895259959,0.7369965707279802,0.7385963647487915,0.7559693075882119,0.8197182168133085,0.8685183163272834,0.872635474506297,0.993256054508803,1.1254722471699345,0.9934938684052579,0.8970256516541476,0.7844073163948552,0.7905409541391852,0.7831326461473986,0.7987221812177199,0.8796314944043856,0.8705086736559561,1.0863958437322514,0.8482372061471654,0.8917747891953689,0.8145363807407247,0.9035036949523557,0.9178163268308271,0.9160516205395696,0.8770082992209276,0.9086208718531994,1.0111059474466675,1.1917373595273666,1.6736992493497274,0.9836027690704303,1.4212579519748187,0.969219474587875,1.0027260503340358,1.0150385215670037,0.9743658353643403,1.0955071709834987,1.0781940589850474,1.142332099484385,1.201784667100387,1.146591456164989,1.29850714889276,1.3068154319491965,1.1948802745206932,1.2874560570586213,1.407533465888968,1.3614994428731473,1.2574198077779297,1.40634825735036,1.58259661298225,1.424796329403532,1.474638167349072,1.67025865305466,1.6836577859554493,1.4710710365170392,1.645936039548961,1.5676849647152944,1.832334309950751,1.5854623923393232,1.5624274439198131,1.6656162321419594,1.6534694613713805,2.1128378339055063,1.7500502340323059,1.9208997062148314,1.739177182386495,1.6418229336185155,1.5576777466322338,1.5327304028967035,1.543938522066359,1.4781312619745535,1.4886810134975552,1.48168885223557,1.5645352240818122,1.420942556733615,1.4147699581961113,1.492641195861419,1.3862358063972609,1.260687274777682,1.2416570483428413,1.2931178053761365,1.3773864014855235,1.4626111288531543,1.5111957346439264,1.722467698078669,1.5578683875907162,1.4729372813188657,1.6902902074266686,1.7473575154665777,1.5981392598712219,1.6412035489989676,1.8299877944454486,1.895607156296227,1.7799536977303958,1.836036874255841,1.9744783680852878,1.9539226336327764,1.8447839852628098,1.9269690377072834,1.7649460800516859,1.7331184252926028,1.6602182084325152,1.6365606970544588,1.6915277278574619,1.5631910259145025,1.5122956841329056,1.582910996204315,1.567046579621352,1.422138829268192,1.5108397633152655,1.6393693275425891,1.491365421775266,1.4333775237755573,1.5847361664436714,1.7022862747870169,1.6935048616285135,1.6676446140013073,1.736026960238764,1.706305760797572,1.9056295555857632,1.4922392622161136,1.377355812370984,1.3107375269064634,1.3329798862106008,1.314792918637481,1.4040791979331912,1.4230452354588623,1.2871843895510524,1.127653594769117,1.1004372023162403,1.0391914528747623,1.2282753540744424,1.389847360328983,1.7336544613530493,1.757675544264417,1.2224677702014861,1.6266677886107277,1.4235031113946226,1.1659412028852707,1.2338582336584165,1.5956878179501721,1.7392457498166656,1.5829939074667765,2.7988306917833428,3.7777549722272217],[1.8179737449311337,1.4481739150406414,1.4100800561622773,1.1871256301003723,1.3033262094820213,1.2467269792295115,1.2030080023014655,1.249156483508416,1.2281674389209232,1.174104732746005,1.220238309869627,1.2795357318613867,1.2165718470843974,1.1902730355974178,1.2708590809436098,1.2550832566035566,1.1967415952682476,1.249414515339175,1.2430780463601214,1.2022114918174613,1.2007413635590525,1.3133377059394475,1.2476758042393223,1.3724106006653094,1.2249242087480843,1.2187191664728547,1.1659688648228637,1.1419066875086423,1.1985430106094002,1.220525444334526,1.248138665842349,1.252382818075495,1.3479444606099438,1.2971528667953731,1.248225812322916,1.215156942581926,1.20941763027115,1.1892188438236722,1.1656616036182768,1.1896755724710704,1.257487110927705,1.2191882746671214,1.1723826945713829,1.2755141797677656,1.2895306799473587,1.5483918130259884,1.4407945970303373,1.3549434591347547,2.32722493486733,2.3451197606599243,1.5937575787744558,2.1167052608835673,1.7028128700540253,1.5978935431417247,1.9910565975507464,1.4805583129959592,1.5101522605657363,1.3108110702062397,1.618179630512736,1.3566981044911695,1.2262721460226462,1.209149758008376,1.224594042818498,1.4474991464974025,1.2318829484181086,1.1873635397160596,1.304837221933065,1.3057900032482346,1.3724490970654164,1.3786415491019899,1.5188845003479858,1.854366833008313,1.5135416007454428,1.5268693472840085,1.3274329760921977,1.4991671883363358,1.2817916563406504,1.2991179794156438,1.2494804836903535,1.234274730710086,1.2789024292241435,1.2593460653413853,1.7122723056298723,1.3079921062148432,1.2769449068329153,1.2126364884723535,1.1734252117549215,1.242791872870958,1.2182432727487702,1.2703411028960265,1.3259436822028012,1.4074983572788975,1.377161305866028,1.3379264894324716,1.2974263910279151,1.3396642967728425,1.3378685260578318,1.3185012823941173,1.3038004767298916,1.465226123618929,1.328489496614467,1.3898105425932943,1.2864917859132046,1.3499549237698016,1.4070889525191637,1.4279538066762254,1.720782230794498,1.344570280679576,1.3189451342385747,1.492281134045039,1.3298235323887277,1.2367709278844774,1.219413405285004,1.1875055467855162,1.146444440142907,1.1087239457695783,1.147120902734648,1.0670342409574705,1.1316903962362843,1.2225662510790465,1.1858880830859988,1.1728843618920304,1.0760855844120953,1.0843727335527125,1.1361203189316385,1.135937831532533,1.1929138517929097,1.2142128589160304,1.2446132360324613,1.3050826557888056,1.267035931756812,1.3545681150332256,1.2817002166981217,1.337356684036398,1.2219846126049156,1.2785839643625696,1.276385981756697,1.1070351914095957,1.0870750660782995,1.0816171468249167,1.082028383695889,1.0804268869212517,1.0710405475190812,1.0873016500369086,1.1482867222307553,1.1620757001913251,1.1414445873830683,1.204223946824472,1.209792217083834,1.2439165127273875,1.2556728448741208,1.2539503233677716,1.423809415399344,1.8075670641876225,1.5554509986304592,1.3519584263070732,1.2706538459148073,1.290632451744715,1.2318124753559856,1.3104416450076126,1.195328812691286,1.1896853144786121,1.1463533509598325,1.161634464565487,1.2005160666438832,1.0806270690546809,1.2032897981736346,1.3113883189926876,1.434146629841299,1.3042400686016649,1.2302000111165787,1.1265962114410089,1.201234272115616,1.2240185749212489,1.23155710272666,1.2832587054677147,1.2891259075074548,1.4084412799419734,1.2677255756950383,1.2863806182717614,1.2489106451682894,1.2922570319140314,1.292281519212662,1.257596118980167,1.2132640045084804,1.2354068311414517,1.2870832248701323,1.372057312529047,1.8098481830486213,1.324601937380833,1.5524108762885926,1.328160534497402,1.3170401358616108,1.3093826026563808,1.2281422117747276,1.2616872759398663,1.2865061985284196,1.328256412252665,1.3571655175561905,1.3403124349593354,1.4262271133980589,1.4649349095723523,1.381798019175315,1.4061438241369486,1.4718027685910813,1.4499753832770852,1.3641448418247428,1.463808920824843,1.5700892353284173,1.443227898583238,1.4845935621031194,1.6157870925087758,1.6316458034814052,1.4575035951200677,1.586434822402032,1.5731732448793176,1.732176697217487,1.5770592083351938,1.5745594830150786,1.6402807763575544,1.6368390555091814,2.125544017743717,1.6933077260192362,1.911967113959994,1.7174598670487655,1.6474665580747525,1.5996768276936826,1.6100075596091603,1.6006019931952036,1.5623586506213976,1.5817942120901212,1.586893431927959,1.6731902611056317,1.543318240806258,1.5316578118455626,1.5998975008172396,1.4738810420580069,1.3763692068335285,1.3864365178734728,1.465522175708287,1.5064452474636156,1.5549266670983375,1.6145552167298258,1.8027501952434726,1.686217884985839,1.622468638723449,1.6849745777429568,1.7648098061372202,1.6641389116018166,1.6465104425921544,1.7844718369751014,1.85900632146792,1.7526605560552515,1.7543449302455942,1.8641216047176579,1.8555201550000882,1.7463844643916158,1.8139969313508846,1.6918422395087385,1.675868023602464,1.6336311232330838,1.6080917566075927,1.6385691033374976,1.5717945654578869,1.5491138593956817,1.5968562011382272,1.5917998593614187,1.49493703177727,1.5489107416309216,1.6975634733738543,1.547334494512076,1.4862963534247002,1.6319865733801373,1.7057311443751701,1.6896098367672303,1.6761581127617031,1.756638405078498,1.6836044548593292,1.9492370149370106,1.554333873754647,1.4637123754129269,1.4580147184201036,1.4669341391140582,1.4737754799516785,1.5100516787333549,1.5515042562964596,1.411832225990057,1.3186675255073148,1.3081466059522606,1.316609187955416,1.4286825046096119,1.603294147969312,1.8837873403797096,1.9551874643390483,1.4598178119342209,1.6921318683406597,1.4662996573084435,1.245797157014674,1.4434310426285237,1.5964573319224038,1.8380012429529997,2.176461961454802,3.439210929311528,4.625956162884982],[1.4805076562619883,1.0564208170268585,0.9958440152070761,0.7418428019638555,0.9149382907663643,0.8011670298967052,0.7501644882595709,0.8345533844286128,0.7492176389458933,0.6669403984851383,0.6704092388684257,0.7679139723652935,0.7061805188675316,0.6363282513903462,0.7150434814043451,0.7241681143101453,0.6794219930387578,0.7110873990838085,0.7162913994557991,0.7154703618135578,0.7157859445653737,0.8606149780271913,0.8085313315713643,0.9448524610915264,0.7907179654234985,0.752899960033744,0.7076043898803049,0.644178916777505,0.6867357191070015,0.7206430667099492,0.704166649556196,0.7647272149774318,0.8173373219072687,0.754223587300572,0.7439071023507811,0.7168292687057385,0.741864746668734,0.693615044844271,0.6837424585883998,0.7447455173672262,0.9019595201572999,0.8179802693497069,0.7644527677411893,0.8954976826367266,1.0260742820520667,1.3032436507178748,1.1985554340732996,0.9808979827128572,2.018236844023314,2.1367451172322713,1.2811742707760383,1.833134751883547,1.3867004242735175,1.2916547490897008,1.7473263067617182,1.11522741194883,1.1902047223662908,0.8942130499511576,1.2538351099210305,1.0860813318334668,0.916393899358455,0.7708481060432323,0.7170868588603003,0.9310736226261506,0.7923959871726655,0.7488959011181368,0.8203173751873856,0.7719810505083531,0.8870220400240891,0.8432447059031107,0.9799279624088238,1.2907442539546168,0.992312073650938,1.026934364148383,0.8056359213378766,1.0814220714096123,0.7336381202687601,0.7401985058303486,0.7209775927149459,0.7388245198913889,0.800349516151916,0.844522625408752,1.4035003430339519,0.8709170201774226,0.8821491246022104,0.7960086772901335,0.6949641446821445,0.8100306078018756,0.7051536346484488,0.7293108537580513,0.7601110637244375,0.8391621785257383,0.784643292353286,0.7540842088192947,0.7320830911574198,0.7626887866566933,0.7776745965732392,0.795976775112728,0.8144624214296698,1.076931893605485,0.8772895412588037,1.0447628463751824,0.8875331593757899,0.9713055513864167,1.0689667494284276,1.0402875234898359,1.3129536894166856,0.9980185715640826,0.9845842147318883,1.0852855912235284,0.9513511818756611,0.8456593389921367,0.7805547379078805,0.7524552018995976,0.6924043354510905,0.6554902718868442,0.7098909820943913,0.6045279316899208,0.685098437683784,0.7377155370438663,0.6801864860661199,0.6699007010212242,0.616676757791675,0.6318192204959275,0.6726218756007081,0.7160790683908239,0.8078771321581583,0.8320080167133121,0.8759636564040952,0.9310769405178413,0.9151671570086054,1.0058898636548395,0.9136645123418263,0.9573396435519802,0.8539968769661409,0.8959735721560705,0.8997281445809222,0.7820518210865436,0.6913662842200148,0.6732240360757602,0.6569254572553146,0.7136315400805863,0.614636615200932,0.6435465348318281,0.7089273524555886,0.6736349636195214,0.6660753413982127,0.7411717255619621,0.7787967767567205,0.7984101256658274,0.8581819569038485,0.847812525869096,1.1411036059698425,1.569238657821502,1.2151226719202306,0.9602745584954271,0.854988072487567,0.8991590500813866,0.8065783359128759,0.8872302625239396,0.8058852698781527,0.7427106583300639,0.7121257961297143,0.7304003860491061,0.792879168421103,0.7785612046220013,0.8672304467468127,1.044128646082205,1.166708679426901,1.0007939653229556,0.8820554777401796,0.7895182180672539,0.8118928076155838,0.8231980604609747,0.8239366716395121,0.8708266353859903,0.847907049434673,1.0393727486689726,0.8439894277224042,0.9271022265986129,0.879750146118965,0.8886564783556075,0.8953857213242027,0.8744017320583728,0.8470764045201213,0.8692886154102043,0.9450513106496141,1.1049667396964085,1.7119773545689387,1.1845734122773077,1.174149485212909,1.1733406366612802,0.9964794635415748,0.9846072602470977,0.9248803649367537,1.033843436421516,0.950977077573999,0.9900057653534766,1.0162212833498316,0.9924373578677437,1.0813224260163596,1.1253979381735661,1.0418301497418685,1.065900315649675,1.1561161540181897,1.1382058648051674,1.0453753485177522,1.1436913338257575,1.278759577326154,1.1613314542951578,1.1735977126924702,1.3388502260108839,1.401598469167289,1.2504560740533106,1.3450462203067048,1.2587518489152714,1.5713555866463662,1.3034296908982361,1.2662851546144578,1.331575966880859,1.2848011160638815,1.7437374048928003,1.4651550454349636,1.714774987133137,1.3983841409593718,1.3383371149234689,1.2675793669984206,1.2640818908782396,1.3869020396799752,1.2257383611145485,1.2248091984285812,1.2768104299567504,1.335471711500222,1.2136892484071755,1.199392482082333,1.3101353772812625,1.2664789251829227,1.190486786636422,1.0891862315101015,1.1236857824509472,1.1201587027237772,1.1969086299248048,1.291625554128977,1.5198692479761895,1.4273663780503025,1.3488170315587311,1.3733899057833572,1.4222524109544816,1.3694419923873953,1.3246295281432656,1.5191137950804883,1.6144664019107156,1.4522370147041408,1.4950141224523235,1.6622548439138156,1.704878041387742,1.5069573574326225,1.5753919502579172,1.404329861237242,1.387071993750628,1.325705400209201,1.2954963773782593,1.3322681392861642,1.2491517855856722,1.2402136728802962,1.2920045844732013,1.293077783808395,1.1836502213079443,1.2589815123704782,1.4766199473628427,1.2868971512948642,1.2661912572002125,1.3823893815431276,1.44174878881901,1.4794455414539776,1.482559750790204,1.5829689333657855,1.5170141745028836,1.7002620684429899,1.2500863869299084,1.1526571845564326,1.1760428643759135,1.15264047061202,1.1678782462034432,1.2260999365068208,1.2166328588978785,1.1441311188459016,0.9544962929210451,0.967815226049614,0.9667917713172951,1.0711702132092682,1.2288275127428656,1.4566334165029136,1.6280213529816319,1.114982967338748,1.25983951347325,1.0323632966192897,0.813799404672623,1.0333721161541145,1.1400432531194167,1.4202092668385287,1.934210224842195,3.3017121937377722,4.2186691257116316],[1.6883765619643116,1.3509188681707234,1.2812749867006,1.0568453952677996,1.1825269898299768,1.2259667200527222,1.2191942898674548,1.3032289809102302,1.255478422380094,1.1755814605600026,1.1827071935407791,1.2686810006691154,1.215596795778652,1.1404496105896287,1.2263722439729785,1.224740809557569,1.1429681987610611,1.1831416106489436,1.149586769859806,1.1469973174895056,1.1509964018408303,1.2415316384610526,1.2469053803965924,1.2936979628503276,1.2054940852097267,1.1798540254878789,1.135167647601564,1.106775096088767,1.157180386565378,1.1936833737172245,1.2034610289657184,1.2419780523132742,1.3139928097206912,1.2462308714768904,1.232395504399879,1.1972468949384432,1.213268822424899,1.1875508446697778,1.1360602217924038,1.1854289367610757,1.219459096772933,1.2215368704845924,1.206183508229915,1.2864559958324397,1.3857589980113576,1.6063977943003918,1.519449230613572,1.3183605305379265,2.1691060124451473,2.331488855932934,1.5216743552389393,1.9681191460960517,1.558229364475135,1.5167285489002382,2.082343651508231,1.4454738918368928,1.3002243387575954,1.3709612269468998,1.69654662426581,1.2920163575770447,1.2201292884830015,1.1543163356595871,1.177834910943451,1.318873453518385,1.2024490875494036,1.1785633450075417,1.1574879232839137,1.1758107681137422,1.2727496090349961,1.3001597236571703,1.3620308810963382,1.6679325615174503,1.399760923816663,1.434196455066288,1.2567766465978665,1.4494656719519485,1.1921207140875871,1.2161007394062089,1.1861809297973651,1.2082459292573569,1.2974240322623216,1.2665193201110752,1.6191140761073766,1.273157859725571,1.2855000489391515,1.2365706347272671,1.1766017643249487,1.281031322270502,1.1715765329235175,1.2143799142385305,1.2430683811284131,1.3270781514121048,1.2867652563476222,1.256224603509837,1.2364655393921045,1.2574820468501622,1.2453622239030269,1.2959999289186286,1.3119966193371242,1.4884988057188997,1.3613637161231693,1.4658498164227727,1.3006240102804967,1.329905513731746,1.3737190741813692,1.360695147542504,1.562892216707539,1.329993335838651,1.3252848738351826,1.4116087202593146,1.3141227947703478,1.226383637149809,1.2287646010301865,1.1473864685960795,1.1233004123550991,1.0751741080001302,1.1403818271102217,1.0021724401586531,1.0381935044502533,1.1135137994279694,1.087980975574243,1.1130294212502296,1.0060821403834928,1.031021476623954,1.0889395769979842,1.1108259662110327,1.2012082111331817,1.1810809285007287,1.191558190883789,1.2291480988898196,1.2088455519933399,1.2693593607626692,1.177445285626413,1.2508028690213857,1.1452648969712793,1.2110306415352154,1.1192754808745489,1.086005361035883,1.0250431664513482,1.032902236487961,1.0208443044345945,1.0057363032954194,1.0390663508125348,1.0434654786739461,1.0962028373106674,1.1239664108476186,1.1106092304666428,1.2029700814418147,1.2102980954313618,1.2655700552929834,1.2995736309609776,1.3346567865022831,1.5395046279205142,1.86038348256049,1.5153993189785242,1.4091477480183425,1.3251623169448656,1.3418802078988963,1.2510622703259557,1.2795705425833144,1.1987718691218023,1.1946564764335954,1.1117133711998028,1.1302414748249032,1.0798832503929932,1.1457453895422531,1.1117781937721476,1.2233233062534337,1.3267618612423462,1.1877465373722664,1.1081915922356433,1.0943268314647951,1.1377383423410938,1.1921291282179294,1.22249841291946,1.2542737738715206,1.240188435262402,1.3586261760429337,1.251379226842533,1.2948399342215655,1.2093021890350935,1.2275981208426534,1.224827567893637,1.225113205749483,1.217284583062334,1.2933691997416887,1.4070179633156423,1.5176876686600083,2.003034063682013,1.3953229737401704,1.4357723166770426,1.3315667867968202,1.232877396621053,1.245830113071939,1.212554268074136,1.3009344549091566,1.1800500682267379,1.2206368903375018,1.2346544177252765,1.2723989650667202,1.3398596002932397,1.406046772441972,1.3471206611089996,1.3260090873676422,1.4231514730520591,1.4311686132967325,1.3349751508593437,1.397780164564893,1.5269157746779607,1.4704174474123601,1.423326804728545,1.5530091153428982,1.6828807794081226,1.6098713343337012,1.5514945737014616,1.4172107504499658,1.7623269318680856,1.4410850068043306,1.4311143644921211,1.4939061452776954,1.4042776277728866,1.826589462459426,1.6512238460131445,1.94748084721034,1.5687461304794368,1.5349415725702844,1.4964241781084155,1.4836713324395339,1.6108073936012264,1.4362194788132148,1.4347203966913562,1.4782656195873043,1.503549265923451,1.40744670995579,1.3765817438850183,1.472660556508992,1.441289015542996,1.3841445971436854,1.311154131127412,1.3751719904508921,1.3597609284054069,1.4507658766795588,1.5517446096975958,1.7179236132279507,1.688027300578848,1.6361694388039856,1.583366073728651,1.62752895357923,1.6412970697971703,1.5603394656953486,1.7075990474454978,1.7928741108106518,1.6490996249103747,1.681008871099871,1.8165717497433485,1.8970831718797785,1.6910334539097345,1.7240613421085442,1.5944009910315284,1.581476485392747,1.540124650480038,1.5097841704012438,1.5319905983077917,1.4713124141922151,1.4686514342211885,1.4846853231051735,1.4849093930472865,1.4034074832841086,1.459304006349367,1.6525312471121911,1.4630367224279417,1.4692435403019433,1.5198624553840259,1.5302773979491544,1.574875754445144,1.5900652707194654,1.6543425596534467,1.6053905788260177,1.75033356143361,1.342389259877132,1.339986976912298,1.4255894900814328,1.2860856762143873,1.3004750469848934,1.314283606936717,1.3360652392002084,1.349457646033606,1.2013145091932689,1.24018586861493,1.2067919521528232,1.374248292612439,1.5198179490875618,1.6509747444281517,1.8679296302075612,1.4857769797943285,1.5000247543134082,1.3840214762548602,1.2471645074011468,1.4919413096044682,1.3780372475939417,1.7120345781099722,2.4145006283374064,3.6507311986541118,4.3838219658777104],[1.1503380402898011,0.862588112229241,0.7845455202678957,0.5419101803450027,0.7437222041009214,0.6870023976680597,0.6618120136134296,0.7375440814046286,0.6955171806336582,0.607610774866966,0.6419589715887541,0.7322105749063558,0.6358009320239408,0.5867674022723572,0.6636049071847173,0.6652377836472064,0.6270401538018897,0.633559512932983,0.6433637195367893,0.6269465281521843,0.6473714439859931,0.8236880276631933,0.8023235044530815,0.9030996191286166,0.7913007398504526,0.7272254849124261,0.6454355389176383,0.568578332040263,0.5890761612821527,0.6489927724751893,0.6723625250323922,0.7339249976080507,0.8062630721670472,0.7153996022955648,0.6973989061992336,0.6528493784415806,0.673502214113046,0.6244552275200956,0.5793749242631371,0.6096349857253327,0.8525581827277181,0.7643756861453445,0.7104582262174938,0.7923530125944508,0.9780472074345584,1.2279307809008728,1.132146212141452,0.8386914853453077,1.8668945844376919,2.025546346130321,1.1126363619189856,1.7635058378902322,1.2855261379747849,1.2310963857199548,1.698690240179242,1.0663622734795946,1.1746309154186236,0.8225670472674643,1.1376761659166015,1.150832872474591,0.8832942761369588,0.7436633710291067,0.655319999986223,0.8571404299297932,0.7355338456085626,0.7010399768347677,0.7255156125078087,0.6588350128811198,0.828840991472087,0.7490051712677203,0.9488285216479162,1.2077211641035952,0.8525566926768703,0.8917239331032529,0.7351328082369781,1.09630560784012,0.659227268386276,0.6583658214147887,0.6601906632962001,0.6581264286284692,0.7254107488637693,0.7295750069117057,1.2134210000848322,0.7350534774591007,0.7254053441976048,0.6629425738746454,0.627087673179101,0.7373371014401479,0.6125806575531645,0.6852155498399464,0.6890505227641536,0.7663667758022159,0.743135520517428,0.7354269608735934,0.7184944248591861,0.7679009581368867,0.7611345366554035,0.7925107528459646,0.8095415650918262,0.9940590965396483,0.8397769851773783,1.0202487689407853,0.7910885276060267,0.8487977204202587,0.882797036478417,0.8354357744797274,1.0378155885508606,0.7907207707057168,0.7827864564635147,0.9371295526578336,0.7666684889982505,0.6951019057739043,0.6607898109393018,0.6089500460562516,0.5881843424116575,0.5633629564092781,0.6308818882044341,0.5098604935787415,0.5873646334961211,0.6171452319152199,0.6051308721347693,0.5884602457823441,0.5311272825123129,0.5175679790289073,0.5533537483399955,0.6375811798164157,0.6709510449865755,0.6507715341306797,0.6603463608988484,0.6966963943361619,0.7197837564015465,0.7918774152621848,0.6971579333230357,0.7454216962488808,0.6439285932107061,0.6809861843044787,0.6417535543584939,0.5753310398325113,0.49978744380967377,0.4967056998993617,0.5905586944046939,0.620230482448297,0.5268224665003322,0.4976241362775312,0.6249844007166372,0.578468017612405,0.5567699623707418,0.6390214412345984,0.6624667450970415,0.7126202048098232,0.7632095606207128,0.8062724347153957,1.108858705453872,1.569993853566541,1.1259778242752398,0.8840755138867059,0.7972269981236296,0.803328033821649,0.7239368249075234,0.7152418059900879,0.657292097319774,0.6281648527928816,0.5571665643567267,0.590261932813826,0.601606735704429,0.6517117126649138,0.6715917094857443,0.8770707024872583,1.0020533761446317,0.8265700517274066,0.6719889210338714,0.573847914966383,0.5939624759171634,0.6510946596636219,0.6745406421352167,0.7198265985678527,0.71251135252854,0.884587011894884,0.7044111822734977,0.728531347714731,0.6948609721892922,0.6989102473628581,0.6869497129310035,0.7380931456651367,0.7367535389362101,0.7955334171856537,0.9093993283713747,1.0629749383600184,1.6622257307096813,1.0814819502615587,0.9729129531437495,1.0953759917994235,0.8576190693639557,0.8301904284692337,0.7830455761071471,0.9483468631583324,0.7871591018663759,0.7970449032697849,0.8130878443387013,0.7870617725338146,0.8470467374829374,0.8823432178160302,0.8242372281355133,0.85302333581293,0.9048556328875078,0.9097750448968699,0.8692984332072162,0.9222179706535869,1.0199600237790063,0.9719509641140306,0.9503209615244366,1.0775954506609773,1.1720956905126179,1.0792569767705107,1.1269691552178869,1.0359179053340162,1.3408784143801475,1.1230459473959837,1.0770768301175808,1.0940609078146477,1.093769302679403,1.6188279111302164,1.324384493746575,1.578615165217762,1.1508506542720882,1.1168269906971295,1.1043780141810557,1.073266905207262,1.2609065480108836,0.9836685557104714,0.9439425211881347,1.0466728350448338,1.0926543780546025,0.9528387681123549,0.9827386155796908,1.1534190020117574,1.1648663802115562,1.097990177828446,0.9033821490182419,0.9031734127824692,0.8649629683578473,0.9449391118686834,1.0399570606323458,1.278164197978864,1.1903396569787392,1.1096892326917613,1.064244155859847,1.0995843105763428,1.0934847070100868,1.0454348013607675,1.2023513987327947,1.3298117630605433,1.1680458733354275,1.1873986514112875,1.3509306780270924,1.4471144044514421,1.2155938757210019,1.254950088523745,1.1091576585473422,1.0752833300457856,1.012468575171662,1.007685122171801,1.071814216914644,0.988569307177781,0.9895343043824447,1.0569794379292385,1.0666471542228244,0.9923580262804819,1.1092461657913337,1.364478449419812,1.1683817442190787,1.1777134997633076,1.301648998597896,1.3652661102545012,1.3838700496414182,1.3681046416272582,1.4934119521325284,1.4393088470852042,1.5299574070135344,1.0995994732128886,1.0231644089668221,1.1023839868761973,1.0650253763429758,1.094981950829894,1.1815821717179171,1.165027641611745,1.063558960285915,0.7806390176092437,0.7821855006469312,0.7590222698525282,0.8787268970648329,0.9516165251340158,1.1238692665876568,1.3882447578074255,0.9082216288528352,0.9908632280665738,0.9010773527052759,0.7432239668876446,0.840896501640389,0.9877521014311804,1.1636056757026878,1.7759104980703309,2.8999373444179684,3.4825270092623066],[1.0512817809135653,1.0173700466519646,0.9805737879039019,0.6547719581252018,0.8747081955939705,0.7781132646538033,0.7561044327699038,0.7951337842347914,0.711653281628759,0.6358307235105117,0.6262553437586276,0.6950134962781854,0.6719834782102714,0.6084825669953072,0.6633721623360257,0.6654129883871375,0.6646248859469011,0.6483038923155949,0.6469026048925841,0.6375299802456765,0.649361037768233,0.8222938833269093,0.806347438298851,0.8878231414527934,0.7979474798887508,0.7176693970908677,0.6657479167913187,0.606939854066021,0.625244882205015,0.698236636703036,0.6807961022628937,0.7293987163791023,0.793991180964303,0.7168769426214427,0.7320486066941857,0.6941487415633862,0.7250596893071055,0.7088174015791463,0.6554930269678358,0.6598189522418075,0.8579624760848822,0.7784192176319407,0.7393304152372437,0.8313646351242131,1.0392987149794914,1.311941223025818,1.2310899565954658,0.9154235363961869,1.8197582465287365,2.078703825280765,1.2174184319253272,1.8032928014699618,1.4645503685968193,1.4387777983372296,1.7132440934392976,1.1503627195763628,1.281976137064484,0.914009883588322,1.1567833802198608,1.2754726589476082,0.9881326244303796,0.8100497538448852,0.691387030974256,0.8298197218262339,0.7653112561912456,0.7369449530643325,0.7320093495584507,0.6497263201308962,0.7967003875178321,0.7342582052311355,0.8784589419905178,1.0982573740803514,0.8321195947158522,0.8764144945922666,0.7229028732005881,1.0513206114799996,0.6700847160226228,0.6604985882192934,0.7001165567770326,0.682362422819238,0.7320014754679013,0.7596512188443126,1.2228949497715231,0.7805689228996958,0.746935207686698,0.7245446583332742,0.6879143276871901,0.7731019803562472,0.6675088254403585,0.7134733195521714,0.682974205545267,0.7361186024285097,0.7025174054462101,0.6703637217995768,0.6712176525737514,0.7171838912404939,0.7131460094443217,0.765368361646808,0.7951176718741818,0.9804139026191168,0.8216914173454379,1.0047090022610172,0.827189967688929,0.9098012543812871,1.0345279215772971,0.9137031593069421,1.0741603278393332,0.931638687330485,0.9272425513774278,1.046941655957783,0.903983513504694,0.807717385864612,0.7544289479699882,0.6944396620628799,0.6365327132739459,0.61265482987379,0.6640523967626332,0.5557309488948418,0.6180519671568775,0.668602613809757,0.6440494422514716,0.6315007022052554,0.5901096842781446,0.579855565235434,0.6200588494455702,0.7313566236142632,0.7836277326763175,0.7575849833964035,0.8123678241553172,0.8391633722018809,0.8459003323756581,0.9274066116406199,0.8033879387013728,0.8494358871236195,0.7548778817713134,0.7507556029263925,0.7271432381688511,0.6436319974714604,0.5543675840060202,0.5655614002490981,0.6240740523544257,0.6666078272335133,0.5818378759594114,0.5596593579984156,0.6812253472882692,0.6491858535122769,0.6436021861860346,0.7062794926902572,0.7338412206867104,0.7743331210679435,0.8338535729537012,0.8411254259644176,1.154523779920075,1.5714914964893876,1.1287681800209133,0.8895798516309926,0.8072675257536123,0.8469896193678641,0.7648578641790621,0.7929305236268969,0.7335684069994742,0.7117260344823959,0.6455996559306988,0.6603663370247767,0.6849741225074848,0.7099227919470977,0.7326666064835494,0.9146542135835083,1.0356615401030893,0.8476318423896085,0.7403358849152718,0.6508430876034139,0.684542980519626,0.731595924928967,0.7456801461015611,0.8119721402388455,0.756836546317758,0.922671371672444,0.7702225217223148,0.7960055103661074,0.8000933574501277,0.797634776903164,0.782488089486278,0.8296247911390952,0.8139062542274667,0.8402238735648759,0.9201446169403282,1.082099970162899,1.6779948510955218,1.0852504137925219,1.0160242914256077,1.1136864782463287,0.9259929594870153,0.9060344087960104,0.8788586597763405,1.0458096195562978,0.8728202450046576,0.906401202056887,0.9129596132822566,0.9047748438326899,0.9710431530009468,1.0135775112198497,0.9612347247404117,0.9766812445648717,1.034076693877946,1.0461788064343787,0.9662125643879379,1.0390370864997345,1.1470404447235645,1.1240589409305557,1.0990172326206515,1.2146273157062386,1.3111996835046977,1.2551936323862394,1.282811848200593,1.1825905131403176,1.4717827438615456,1.1892872019903373,1.1568556133415457,1.1729228708507469,1.1442816874809967,1.6347423634810894,1.3554649041491975,1.607457896112466,1.2511508991401334,1.1944472577622864,1.1609608072377982,1.1369660258982255,1.3281114699594398,1.0778320227992244,1.0382944175648523,1.1542954745212881,1.1897201618577848,1.057216686573544,1.0926694772000816,1.2679440269836202,1.257983565585598,1.1590606588414554,0.9913238180248105,0.9859504298078415,0.9708294014404205,1.0571170929902527,1.140127227219843,1.3024963786301704,1.2722686834289043,1.2173644572492388,1.1768678055613682,1.211454311794054,1.2004431943323688,1.1625274207761953,1.3136400590583894,1.4458901646043474,1.308336944310237,1.2975808245210718,1.4260676801114411,1.5485188389726854,1.3306877329250204,1.3443545949976858,1.2180046284960784,1.183094698642335,1.1151444654953162,1.1141206453744583,1.1872575161026726,1.1006099986813347,1.0923643341663394,1.153314732412888,1.1591316706743116,1.092235410546752,1.1998781079251568,1.4026429864696035,1.2286930475123752,1.285155267417253,1.358113651831161,1.4185936526810023,1.4097083273640738,1.3884309756380968,1.520152709124488,1.4941330622598177,1.5426863402380084,1.1392230675237438,1.0890394580286484,1.2035385630106263,1.1093097274837782,1.1154173926894293,1.1998836464445526,1.1900212694269643,1.1134493833950445,0.8939750527631153,0.9026349911509053,0.9106130584265116,1.0439373610728595,1.1034213151354493,1.2229589009357995,1.3789332511397905,1.065523706316436,1.1215729976649096,1.0050569745740479,0.8448902634296812,0.9674322237889664,1.0746071801209474,1.1481149362152099,1.6014310933001945,2.594015271360237,2.9178452837790316],[0.9020743171959963,0.8781043501339499,0.8800806670016105,0.5664225398015237,0.7818489296087004,0.6781702675893008,0.6462311405819796,0.6842563061557092,0.6040781926723359,0.5415327430269977,0.5356808698439494,0.5849024456642802,0.5697382230552603,0.5342196000716944,0.5682923694601946,0.5651278894986423,0.5650690810345926,0.537501339112111,0.5476473010403923,0.5559365102338089,0.5765193396393206,0.748431015694854,0.7513472448019288,0.8425600289482728,0.7306691949715515,0.6468865906010582,0.574466608980059,0.5208380770774916,0.5219895747999974,0.5991539242490884,0.594047061690897,0.6228684484879404,0.6879117558614789,0.6170642322518803,0.6294109372860542,0.608210439255198,0.6248768073734499,0.6217622628528741,0.5845049492218224,0.5956191074452519,0.7924833761547061,0.6899011035510797,0.677734367189754,0.7563258606054145,1.0089182951855746,1.2683151910746253,1.2235293278066337,0.8355777456539089,1.7001271922231656,2.0003379439436135,1.1908302380592573,1.7770206931416361,1.5167855859404005,1.4797564762105018,1.6563566805616838,1.1083147658692183,1.299231446638341,0.8608046919536055,1.049536404150663,1.3367514515754069,0.9953878093592554,0.7647142975359659,0.6338945549889832,0.7659337539270173,0.7001079753694718,0.6599710654451386,0.6863560840074857,0.5512985409861042,0.7242971640203466,0.665518748124451,0.8018096116868455,1.018662078196703,0.77781235203328,0.8217212330597781,0.6427805636335933,0.9654019330118112,0.5862311485849151,0.5809180836939523,0.6220503831254182,0.6022904705183341,0.6125895815836826,0.6779539473872999,1.1278814025324893,0.6860573856406409,0.6680674191054251,0.6340479526145795,0.5918813619880239,0.6614004736447144,0.5833284733833309,0.6373374589982391,0.5878121412250229,0.6766586055118156,0.636179543938367,0.5913114301148056,0.590793746764075,0.6452669769123582,0.6490114510597578,0.6676386995053425,0.6844149021250512,0.860425131566242,0.6894515551011703,0.8911579354795575,0.7065579153439072,0.803152782639143,0.964801295799456,0.7959727738627418,0.9651193462812535,0.8178978079043971,0.8105837689523036,0.9426444101555221,0.7851300515667764,0.7115134035571512,0.6536787483280282,0.6142110856578581,0.5471811749648363,0.5302140404425983,0.5762604024723965,0.4829268554576065,0.5545258736757821,0.5838747629626162,0.5522823645059081,0.54456921191453,0.5045545006252481,0.49562648525207953,0.5317187731813365,0.6416279601304199,0.689646099656835,0.6673970231084687,0.7239018118706205,0.7392133771459386,0.7512168338717012,0.8288392811588247,0.7171588952210506,0.7343151132313035,0.6761632885350387,0.6661951546071604,0.682622314288143,0.5895506884075845,0.49532598442309245,0.5058821507985425,0.5779864475504564,0.6535316368919467,0.5251206526401377,0.4946198416427589,0.6234479074880287,0.5706248338081352,0.5674918880634396,0.6143196342333762,0.6410461956290812,0.6704042297348735,0.7432055150972994,0.7344805956997398,1.061403886472096,1.5181336074315979,1.0653572671541447,0.7606495211995429,0.7007100205742198,0.7300615851178347,0.6570526022111478,0.6921216342610369,0.6406495388701731,0.6115031804709795,0.5608104685306113,0.5760909488277913,0.608381822823974,0.6743691714853074,0.6809562773633726,0.9049034146481613,1.0164575557646207,0.8198915998915685,0.6800414037133954,0.5840768234684508,0.6002677099734993,0.6347183141494364,0.6539591953162884,0.7111727693471407,0.6695931711479258,0.847263695973402,0.6745082136511957,0.6787920422301603,0.7181856710971157,0.691960778640273,0.6724451139282642,0.7213181551151958,0.7143952831560124,0.753733628295697,0.8680632217878943,1.038460660480641,1.684504265124955,1.0811449153483923,0.9840341094439948,1.1010871666329418,0.8678611254655458,0.842230497846979,0.8322903553613548,1.0298039770089145,0.828965604552642,0.8431775009610385,0.8429883974546385,0.8050580128624468,0.871364225712877,0.8827385885987014,0.8373778308687464,0.8623933167482821,0.9116927343620554,0.9298701536447422,0.8658870358190525,0.9538870446014747,1.0353412255449712,1.0332978676037843,1.0210586145467302,1.1309305751593244,1.2086649320262446,1.1848005597978937,1.238925001101829,1.1551515056015043,1.408911550856904,1.1677094369740015,1.10933558048937,1.1290654690705768,1.1305738891528523,1.6263884282163072,1.300201375093186,1.4878376702540181,1.1802251091062046,1.1251866599146518,1.106277997913998,1.092758942872049,1.3369484680351278,1.0268790857006094,0.9598315684788591,1.1069235582613945,1.1270898006253443,0.9744055594402189,1.0462853342672136,1.224094170008537,1.2297870824087334,1.1442408695693371,0.9170170826704225,0.9049930894351714,0.8794123912358159,0.9494904832826567,1.0282719952774404,1.1644140102369371,1.1404993735845494,1.0933304111322313,1.056798300619136,1.0579361467263226,1.0494812958449682,1.0244016541567458,1.1688022159241114,1.3034520429957388,1.1809698484186784,1.169539337147306,1.2906945371988916,1.4243023717195018,1.2326054652167853,1.245657479884977,1.1221387186312723,1.0806298079728156,1.00130268167495,1.0286580602067725,1.1197194426567612,1.0021414082809046,0.9988071338010359,1.0954830111013643,1.1014289922048097,1.0244706768932694,1.1718765664785156,1.4459265043690692,1.2002669114651048,1.2496719525876117,1.349026921264623,1.4130839791747551,1.385156354998886,1.3382860443253084,1.4659959661633037,1.413846184355048,1.480114963785917,1.0902236003239492,1.0160399096803352,1.0985942636069188,1.0373985218383157,1.0441520970203104,1.1575780691120447,1.137279145608684,1.031151779950368,0.799289103043342,0.8020126004227706,0.8303418566929953,0.9252759262533483,0.955321541242672,1.0623783497404131,1.2171594809533712,0.9294546587692565,0.996224869672135,0.8961000606051241,0.7480315873170762,0.8044681178756949,1.0315092071251355,1.0349689680885676,1.4192465410381456,2.209017991706202,2.3927899809317705],[0.8613853677725133,0.7703202875664311,0.7754087986378307,0.43858788277609356,0.6328577924381119,0.5381433583879364,0.49076286337430963,0.5161145246451362,0.4771364730854041,0.3804110287607867,0.3867878112153239,0.4598051864713623,0.41360593822847447,0.37695165838669303,0.4087596284892239,0.4040844471244989,0.41096864437196634,0.41857431408893947,0.45508765587549843,0.4451402020408079,0.5143001499409586,0.6817480371358732,0.7603837749102685,0.8472406553541597,0.717232574238796,0.5988727657833305,0.5167078146376477,0.42055512764752384,0.40430764420068266,0.4339738452808958,0.42775255323689176,0.4433964006841889,0.5050808992689501,0.43118373539967314,0.4393565781113744,0.4469539975760722,0.4701678755967869,0.48345618741986773,0.45554483609288887,0.5264738827543236,0.727822916941951,0.6221615540565495,0.615408425403851,0.6870515700785261,0.9777225746688893,1.2102444936253243,1.2176100048311285,0.7629238329095535,1.5727191298747367,1.928703601137721,1.1379809319802678,1.6953626635099357,1.448442050220393,1.431619986524499,1.5848824137519701,0.9718036680021317,1.1749719818663393,0.7827708127070035,0.9667009805654806,1.3320265582864126,0.9631025091953934,0.6594901564437762,0.5256262436902842,0.6755813295077493,0.6123707156586934,0.5604379230678725,0.5959203069832668,0.4488882917258484,0.636420363768443,0.6167273183884352,0.7342108956012051,0.9606611573242375,0.735281657882057,0.7813989412306845,0.5484131667916047,0.8862231717872303,0.4617807807484585,0.4223032321429552,0.4680335538555713,0.4799431006584305,0.49454824652726154,0.5863465272559285,1.0326508838884803,0.5729322132715802,0.597254610721775,0.5151647097007107,0.4657426194703894,0.5238710563305913,0.44336829058501936,0.4938939222278287,0.427185617802375,0.5738526719749063,0.4972537768524349,0.42906685058481114,0.4255407418162806,0.48810155599429567,0.48994261290236435,0.4935673668654484,0.5053788934256473,0.7134800481323286,0.5196288361266665,0.757355855440807,0.5475382335174411,0.6528961278197766,0.8356647280586198,0.6895260749466644,0.8822710547047581,0.7189588513414079,0.7059704074668315,0.8556943002218904,0.6555764292466616,0.5810934590359631,0.500049994320795,0.4774912267116359,0.4154185477425062,0.42757144261518704,0.4977259388626675,0.39975316389509613,0.5206132665196946,0.5047875729715013,0.4842354451268573,0.4709718944536687,0.39740914539470057,0.37855216427572086,0.3923669839387841,0.5111256462418056,0.5577462227487799,0.5617852155064336,0.6178596638156936,0.6187449376306431,0.6479603417936002,0.7219278574971216,0.6214430615637,0.6219029582653639,0.5793048274586728,0.5775134386041298,0.6211974188268818,0.49846046707929326,0.38952878664377116,0.40189487025335807,0.4917974682931966,0.5728696147370678,0.4350968733968963,0.3856750699838075,0.5283225133544915,0.4376462106746006,0.436569334341109,0.4774693024031823,0.5009510243571377,0.5137927613380753,0.6062404281655687,0.5914214714432985,0.9727240157358464,1.454791541555209,0.9768033459075898,0.6014005399338279,0.5328792352613614,0.5742049824078925,0.4977706227513374,0.5582589841043968,0.5088540578835932,0.4664092933435493,0.44374645030004317,0.4768398738895835,0.5023076363418484,0.6410722601316471,0.6218023081156432,0.9052139364679958,0.9890754912721201,0.7810095978566102,0.6033946750792758,0.5010264915111254,0.4923531100276343,0.525673988361878,0.5235341573648279,0.5638451010507137,0.5446986426660847,0.7146915122838561,0.5370680756789473,0.5560294724621808,0.6005847175932278,0.5678539181531966,0.5563902126537923,0.6035388177938149,0.6349493537405559,0.7130608135815101,0.855657733331416,1.0720849674233104,1.74224198521112,1.1160046478954702,0.9517922413383667,1.1031409575453561,0.8391424306294665,0.8166461128155696,0.8458624038800207,1.0733278390487815,0.7714052600448219,0.7984544286439281,0.8072946061988945,0.7334340585639386,0.8454329468549846,0.8285582425485034,0.7606721551317215,0.8245339030750198,0.8808275977028145,0.8698281991299317,0.8270293755154429,0.9365610104755941,0.991518289356755,0.9890483066055209,1.004400641906963,1.1136501735765505,1.1591884400827634,1.1896411866836356,1.2437439771979117,1.1530184124052176,1.435431031019033,1.2183936173398362,1.1500890997415578,1.1732234916212751,1.2271476785560274,1.6485791033540105,1.3998278760437095,1.4684255013832634,1.190655403986953,1.1318717752381298,1.1070403402374207,1.1178104351744278,1.3806115099336511,1.054150864610331,0.9960221029686912,1.1630830085533723,1.1751820642705884,1.0151739931505153,1.0986613094187412,1.2868432934375638,1.2691259461798148,1.1690956166274127,0.9189044846012298,0.8760271386099551,0.8633293222257002,0.9229965273860546,0.985185113421355,1.1118670005401154,1.0843186743762612,1.0514623067114293,1.0067377423794355,0.9596581973719638,0.9469615148653738,0.9479317163952694,1.0939724950606555,1.2154813073190172,1.1080732439634615,1.119844296592664,1.23383829007262,1.3657405078278522,1.2030659851828784,1.2271017188090767,1.1143911392705155,1.065377677272739,0.9801682761731688,1.041853476087988,1.1170834265742828,0.9974394649805177,1.0120468542222392,1.1258416383935848,1.1255952295810407,1.0456561593694575,1.2128122459914654,1.5105444696977155,1.2384882781652449,1.3073677817654672,1.4447752195382169,1.4627566641473586,1.4238144699342776,1.341294041718675,1.5425932374118498,1.4467566143480808,1.47036000235388,1.1289872264156657,1.0265388496279015,1.0426270012989527,0.9989210997695213,0.9946597595215739,1.1503138596001994,1.0918658444169904,1.0011999191621619,0.721434228916051,0.7257869681802849,0.7229638899348718,0.815457299728969,0.8263380984579002,0.9304838822800586,1.0993494284950085,0.8027063619155917,0.879646926185011,0.7581469077671721,0.6141833377267526,0.6801777261817369,0.9592417850871664,0.978141470884064,1.366149347585496,2.0621523669975637,2.2198555643430566],[1.091657868748784,0.8913770421129978,0.8926577127855521,0.5825255805721833,0.7089534893763008,0.6066556028589761,0.5451196938405615,0.5708515482445217,0.5189595421852055,0.41767933708128396,0.4119630708646279,0.5022706741668329,0.4556937520594799,0.40354640705836564,0.4347563265632134,0.42584556265212303,0.4348690535336467,0.4439009200097774,0.47941424818062506,0.46469421321421756,0.536501971160044,0.7113373375169367,0.8054057193820123,0.8748188377990159,0.7494807537644709,0.615738758544063,0.5456755097498847,0.444843505299927,0.4461430503631769,0.4334092599775235,0.4385933835039266,0.4728012432836199,0.5070956407847458,0.4500593415622922,0.4445148988453006,0.4537981812227819,0.4791740856732856,0.4979661262289265,0.49328376697261067,0.6211757946023823,0.7836195329927708,0.6687438224427419,0.6778649927750708,0.7443857133040853,1.0541290325285293,1.2861912608278454,1.328707787016498,0.8441002492588849,1.539785850360234,1.9697362073623141,1.2236608310553707,1.7251493061643923,1.5017525792536208,1.4881785166521733,1.6214780278677259,0.9797902031393938,1.1444195502604293,0.8561273191798868,1.0131254794508733,1.3870631927498565,0.9978086227486489,0.6488596175086387,0.5239519626784156,0.6951627155479686,0.6542034438708865,0.5694015892755481,0.6053450820692128,0.4788650604378962,0.6539513533925544,0.6512318523784822,0.7652088727639925,0.9971946380471093,0.7572166469513212,0.8004292969838835,0.5724416013938963,0.8578816177906409,0.4917719585808215,0.4200842228632814,0.4758884446718353,0.5244129119730294,0.5336341152813299,0.6433278441609438,1.0176323071174254,0.6621167435185431,0.6820004867834278,0.5673496223537483,0.4969968066739178,0.555711697034753,0.47201632464521265,0.5027492893435279,0.4423530415111085,0.5794331081203921,0.5151634204460724,0.4579405434297862,0.454268235208858,0.488411785880993,0.4950395803044434,0.49666377647319293,0.5099130818941412,0.7156771063788493,0.5470451826218263,0.7941589880985135,0.5951845630212188,0.7207151687163462,0.8966660835280201,0.7988397162107871,0.9987397514084526,0.839629976882972,0.8324936193438093,0.9627910414590631,0.7605685804177343,0.6424652581044579,0.5568700309881289,0.5197689700024342,0.47544645894151405,0.4467886187431515,0.5254209555897348,0.44802973392759937,0.5675034106396767,0.5057299655046552,0.5016232326171378,0.5018108801734754,0.4373552526696191,0.4276721881841531,0.42980751579002757,0.5414918538201973,0.6375863877180602,0.6500122832724035,0.7409074327114337,0.7168396834977864,0.7891365901099341,0.8698137976501804,0.7749225163487606,0.750740801320695,0.7001911634895206,0.7033409350770217,0.7385867507345776,0.6080786561778664,0.47829038388286377,0.4815442737304686,0.5636567335251361,0.6500540560074441,0.5190787276544835,0.4591381183109315,0.560787357405503,0.4814329512975052,0.4822908443783652,0.522930887358391,0.5664442154127708,0.5721649149741611,0.6897577526847539,0.6665700939055114,1.0393841511217339,1.484810684555345,1.0129755562367897,0.672566426091894,0.5727626524954345,0.6475815391236062,0.5499830042889,0.6469026568578807,0.5708200690178844,0.522185906785381,0.5322029992050604,0.558782784843631,0.5819118393966506,0.7297534917080505,0.7356046484529626,1.0137996363617852,1.0666277502936132,0.8580898811023656,0.7053802025350819,0.6046342056380496,0.5931273868589991,0.6292374289152173,0.6105013437689657,0.6183178330464252,0.6069203472365223,0.7538987595208967,0.6291065849622939,0.6618506020550744,0.680994067228326,0.6826241451534116,0.692741198929424,0.7232683870195643,0.7538688569735432,0.8268267204848063,0.9403345083195599,1.1540747839229775,1.8012365417851406,1.2343677741043184,1.0458200743339214,1.1831406498194084,0.9600113156089706,0.9478708815358546,1.0319896945852445,1.2621368241242579,0.9034327952127661,0.9821696120130379,1.0042536561964908,0.9223571864080992,1.0669041000108084,1.0283088302414303,0.9412389613506583,1.050399710233658,1.1067211268547394,1.0464948868654997,1.0318715656866229,1.1525316468684412,1.1670544428200684,1.1430513703078475,1.1959020994243883,1.287335388166122,1.2777779919963306,1.3710377736925916,1.418523716341269,1.3536632354603522,1.6315528230994598,1.4739882136033133,1.396893164606596,1.4373036330924058,1.578482661304096,1.807572812729865,1.7197639014796489,1.6240067964568947,1.417117023380089,1.359446529214839,1.3038956780088735,1.3680135847933013,1.5874951695203676,1.295986544303684,1.2566336940169258,1.410848003422928,1.406027936887835,1.2558560628317263,1.334957056433653,1.5133442137587219,1.4599949629015498,1.3312718562437682,1.1382135883819062,1.0713948946206673,1.0875284788023214,1.1429427772006377,1.1692887527025662,1.2876886300177928,1.220769776842482,1.2181241646321377,1.1901279464952836,1.1047035517017185,1.063214318291547,1.0988949793685214,1.2108124425442557,1.2756697877030823,1.2117786979720793,1.2594572158822595,1.332486487729819,1.41482694966967,1.3414104716059556,1.3780412243923754,1.3046720960221367,1.2666457710314005,1.2050529379423403,1.2990716028606397,1.340251128151422,1.2324239890195063,1.2638250744595632,1.380425681802607,1.3712381924923012,1.2843167052974156,1.447995490946892,1.7056709914268278,1.4512241589202581,1.5222158308680038,1.7064802684906037,1.686227581095708,1.6278256068118533,1.5262460716743709,1.7625964377107952,1.6509361364975506,1.632031358518758,1.3507460100144486,1.2425158510332808,1.1635732428427699,1.144057505408464,1.1294660628255095,1.2888688672417967,1.1841716709656025,1.1679056144003737,0.8834624921696694,0.8960024624424033,0.8340956405158371,0.9261653173875443,0.9259685193500821,1.003807906399295,1.0775326956772047,0.8804323068115106,0.9601681325863521,0.8321110830737312,0.7181528904344294,0.8258887565632054,1.1117545279305785,1.078546011656034,1.428550113250093,1.995594060324682,2.1144744714790886],[0.8497462409829123,0.7296383638463833,0.7444201603842185,0.4599258790090171,0.6077105669312886,0.5180732115919939,0.5008585046597823,0.520103707977904,0.5327730105965435,0.47207409617952556,0.4910514328538123,0.5252755895271399,0.47877235192368656,0.4771113633000321,0.5027443317088938,0.486986426133937,0.4843528839977088,0.4993252502988951,0.5327815533311864,0.5041541008435543,0.5839517807110064,0.7633605977123433,0.8416818001626001,0.9148054168765283,0.7650016357269586,0.6499150091443182,0.5791000813978541,0.48642142716214265,0.47961311084728225,0.4499229947972762,0.5003720078640354,0.49339643908928493,0.5500468694088386,0.4923230746620538,0.4809767091014263,0.4878520045545643,0.4992145243590179,0.5343815086699178,0.5103033491458953,0.609766794393209,0.7761416443591739,0.7091112608348318,0.7085818142491664,0.735292289071058,1.03904156569972,1.2780388920773122,1.3077809706547199,0.8310220053558972,1.5406312676997131,1.9587983579206727,1.214279492166233,1.7171820319718123,1.5093429245794547,1.5178969610507396,1.6492790105382389,1.0057075604592034,1.1415052018532055,0.9005779511330273,1.0478693756641728,1.3429283567219648,0.9956582351398714,0.6693109003879735,0.5547157166329443,0.7297169421729734,0.6973236415036437,0.6090726042598296,0.6570704210162321,0.5098500434430977,0.6536280889970847,0.6753545176856209,0.7758120849184619,1.0159928131324638,0.7610459215912706,0.8120186493270066,0.5990553489008268,0.8963892452804739,0.5215694425786966,0.476474580970135,0.5059415057559437,0.5474890214334572,0.5531264754781895,0.6488557610358542,1.0147194432826458,0.6404680133396421,0.6481888909471893,0.5674169783057261,0.5145899180005009,0.5722428982588318,0.5071096444347014,0.5363488500621718,0.49235318813235457,0.6345996267125922,0.5758062941514458,0.5312057201451461,0.5228688869286294,0.5574084620592596,0.5669817954259413,0.5387080177296951,0.5329750061365099,0.6774280717676793,0.552543438703587,0.6900225190008762,0.5440851934917789,0.6478846561292287,0.8205956226472934,0.6613029306246214,0.8237331614510541,0.6989442334239606,0.6691838290264687,0.7811340369288845,0.6117056415565011,0.5560318548623878,0.5065922061972901,0.5067522324658035,0.4842420426620096,0.49184060459715856,0.5714212836484536,0.48883446708976686,0.6018719488685152,0.5672693707621336,0.559270071986003,0.5633210613893092,0.5203255360135647,0.47681978672365855,0.4618715570372251,0.5347868511489406,0.5595913853288154,0.5670992945333424,0.6098852840599768,0.5922954021774409,0.6709835641073205,0.7245785769382342,0.6368004226234344,0.6131720079438714,0.58847366962808,0.6087368909180656,0.6217554500669681,0.5565920682808092,0.45766613141707047,0.4744087363101781,0.5681132505204365,0.6349028794165713,0.5299274858223728,0.4765240668773918,0.5593073754805739,0.48301657791485186,0.4831886972176811,0.5239789513398504,0.5318174551367049,0.5431205951663476,0.6009381903267117,0.6092213983091912,0.9757763946314039,1.4381243681208846,0.9633495696870625,0.6077462840654775,0.5429216903832674,0.5661721871216203,0.5035935016341557,0.5842875732025857,0.5129455811708217,0.5056289724065718,0.5061525616779009,0.5348978105399385,0.5390380183135256,0.6750470598175329,0.652473156758456,0.9433074728490909,1.0051791347804606,0.80056424108386,0.6208065034817866,0.5421779613156703,0.5158823131089814,0.5382528468403316,0.5518361516692426,0.5574456199359805,0.567679456599815,0.7072975034011153,0.5656589273780134,0.5770124327047633,0.6038649117912959,0.5716554451827651,0.5717745234816588,0.6128430108475195,0.6507634870710208,0.7667858223595465,0.9200195393284591,1.1239556774219615,1.780525735088581,1.1925134437526705,0.9905755145056965,1.1240843024647462,0.879302828992172,0.8571872345858912,0.9238451232368593,1.177131003364117,0.8147459066295387,0.8416472820477036,0.8580192686963051,0.7536585308953954,0.8756223576632638,0.80484686472174,0.731325710205446,0.8335157649138057,0.8531396705063324,0.8038157569188847,0.8261251356507602,0.9077871523573007,0.9063160010584386,0.9298071315642567,0.939782946481433,1.0013362584340797,1.0411570614975219,1.1779786748859535,1.1553057044704105,1.115899944508316,1.3149931690194019,1.196025212670793,1.1039957398988356,1.1266113757318932,1.2062727394196562,1.5806904841649156,1.277776355818411,1.3923666831731973,1.1595299803608936,1.10979190766598,1.1425414804028855,1.180009219977666,1.4176463226092753,1.109531812016375,1.0263847894615048,1.227518962662159,1.2282259540060758,1.0490732746160842,1.146365945333468,1.338773145574026,1.3130783956644263,1.2130538030218279,0.9883836168408296,0.8969747448782809,0.9058611544247733,0.8913219518076271,0.9334954060051195,1.0695521602342086,1.031452403279954,1.0180601939918956,0.9337871314533104,0.8495165285543836,0.8375000873652413,0.8305533261613282,0.9266270314563757,1.0215223829102098,0.9357712807383977,0.9665067367320742,1.048817372776299,1.2089214226568925,1.0662191411237774,1.1010358022961209,1.0310683587607035,0.9932091544592374,0.9118449631892531,0.9914636656794831,1.0557511510851705,0.9558341180446951,0.9866626960576229,1.0871283490732038,1.0865518680048996,1.0380405704833826,1.2122949004528119,1.5002023185253137,1.2422466100658738,1.3431712056690557,1.449890087822836,1.4640160591217395,1.4181437931753682,1.327437335376397,1.525066501346514,1.4233202535935154,1.3589291611172538,1.175826552499726,1.0260951381346115,0.9773104512525989,0.9981359332588478,0.9586123808004848,1.1748137277757877,1.053362878897872,1.0081839564925983,0.7164431627256698,0.73131177441722,0.7021139050127664,0.7502717946441705,0.7213270666587153,0.7838334169341801,0.9062687146477298,0.7078577859543362,0.7645387890695176,0.6899770786609425,0.5818135154507761,0.707125495744134,1.0589549903792466,0.9322446426757964,1.3351874679673525,1.6708945637719061,1.8638102262399745],[0.8182997210084727,0.7059114092989126,0.7226736650683041,0.4213070535102692,0.5388685631206601,0.4574838591174119,0.404525343420553,0.44982661885865205,0.43514310097696673,0.3438079851145447,0.3562264042103936,0.45625477193866654,0.35020501512796376,0.3343848451951182,0.35806628570932836,0.3493040707920632,0.36430489025911766,0.36813995221302404,0.4413956321553027,0.40970162867412624,0.5192100615675967,0.6840326095173674,0.8210287365883858,0.8910589958823284,0.7187695913685359,0.5819819607564144,0.5333359297037391,0.38233014893898976,0.36509747978755297,0.34186048241486183,0.36340203459487813,0.37534430829088444,0.4252256789188433,0.37128201489107926,0.3587724256073941,0.36905832189251614,0.390131724613373,0.4437260470307534,0.43056565470131747,0.5986915589654837,0.7512421696918815,0.6406853970842085,0.6538017770651043,0.6995651746598867,1.0435507296832633,1.2164073012596717,1.3152956005873915,0.791784752870781,1.376102197406508,1.8536755807525447,1.2015064980839139,1.692062694770587,1.5475004279091356,1.6162935935116334,1.606345935083747,0.9817166668116528,1.1225213869087718,0.8526998497174373,0.9561790118514891,1.4462854349343208,1.0183839710533948,0.6441552371284107,0.5040609421635411,0.6877696410257351,0.6361755877664855,0.549714507718158,0.5638333802233593,0.40755781071707387,0.5828056374918124,0.6188233974901138,0.7170380673670337,0.9745508539649429,0.7185230729860784,0.736884576326307,0.5405517821156193,0.8446700223278848,0.44124329333002343,0.36419335036406547,0.4023765098983401,0.46749703277561416,0.47678547416886524,0.6113405261224755,0.9132459908905305,0.6394818846504421,0.6607834811109802,0.4988405088399267,0.4409692306180012,0.48999732315097366,0.3931989981466651,0.44957690925550037,0.36754006132201866,0.5445449877951335,0.49027403197504693,0.39372680578189007,0.38684976725222886,0.46568130460574475,0.5245498897981222,0.4563096016027024,0.45435171256938933,0.6122794369939838,0.4658793162918452,0.6313608373032455,0.4685172446635391,0.5748233986752994,0.7371215606358302,0.5743975309668745,0.7383752683684678,0.7109157200193705,0.6400167382488992,0.7271419448661269,0.5405817593674758,0.48813378998156176,0.42761365862899225,0.39907908241226997,0.381509254665172,0.38970409704149034,0.4716689033394294,0.40234010046715457,0.5446487108771252,0.44234275687641955,0.4599107595302739,0.4467790658594574,0.4114516868985206,0.353900532694329,0.32279781288488757,0.4357011945962704,0.5013969153126413,0.5304970764806659,0.5602877784775551,0.5448711910137947,0.6657737504694731,0.7168918618821258,0.6484196480540984,0.5829545159733079,0.5833143708479661,0.5625851133562426,0.6156600634987007,0.5133684063003374,0.40229011448819474,0.4053200299602806,0.5042421469476244,0.6190615527108027,0.4527613346089775,0.3889829377670587,0.5407089099216152,0.4052195456727222,0.41317950373075596,0.431917299276881,0.43688190063259935,0.4665609598463153,0.5299795467402281,0.5345092723636261,0.9197256116263498,1.404595209841706,0.9793157537294827,0.5309921742132012,0.4292921827469012,0.47460662334636095,0.4068123554454436,0.5112991320210821,0.45444318559734764,0.4388904843499374,0.4296280648336776,0.48360596455998545,0.5127099163774349,0.6640103411205567,0.6801631156626707,0.9689390700085303,1.0046699225915465,0.7821255293923641,0.6317283668432205,0.5063466525820578,0.482613098458833,0.48954875102242207,0.489489910535562,0.4823315617299428,0.49189688442101476,0.6109327837945255,0.5096986387322211,0.5270428997503486,0.584236286819662,0.5053334684761943,0.5445938827800222,0.6464169204018845,0.6636375562567839,0.7993558654307291,0.9511331389763774,1.1630413632378533,1.800960670398996,1.2689857372586613,1.0333808402029485,1.2234326123507313,0.9613848037683163,0.9244307695236262,0.9956308908051354,1.257061769853968,0.8414824996516008,0.8619940189797621,0.8592912738088098,0.7330071317738825,0.865014772969112,0.7596993427878371,0.6835368837610768,0.8053902044829566,0.8161165436978426,0.7540469193317222,0.7842634112445518,0.8769418525334202,0.8645429877422953,0.9021715920057011,0.9068333958125522,0.9623692335738573,1.0109178636391336,1.1611395063723529,1.125567181111264,1.0860683410468044,1.2709889452981773,1.167066019655833,1.0732793541494405,1.0907310045478773,1.1713429326141818,1.6126266627113732,1.3031216482668604,1.3759911582079334,1.1613287191084902,1.141878130216682,1.1905849573036114,1.241760819729645,1.5404574297724105,1.1794195478533835,1.0475347774972248,1.283581049213845,1.2718403975782626,1.0989396800072346,1.2747011919502291,1.451098771352755,1.3822336240116864,1.2796766295437083,1.0197187134984744,0.8923253596145874,0.9246168415726252,0.8845365628986525,0.9176467203600728,1.0410307741699654,0.9994306945301742,0.9797924415163671,0.9058350963877441,0.7870824454839339,0.7781089470058702,0.7673797021206052,0.8543707061391383,0.9441656061962796,0.8667798911826197,0.9092763348317046,0.9864320317636208,1.1641592794651578,1.0171990194832299,1.060709304870257,0.9989801268903308,0.9608495615661186,0.8727224030939439,0.9719624057041502,1.0531548344896422,0.9315964761565213,0.9841539078283895,1.102157879481174,1.082993254969328,1.044977726682578,1.2674981657995925,1.5393647575520646,1.240484418591689,1.3863796872240965,1.5110321426993423,1.523206367407122,1.4258947477342407,1.2847097461912385,1.5761282545422068,1.4201510609000594,1.2907713883559624,1.141227176900855,0.9828169315650135,0.9360228717951442,0.9688438984701515,0.9033725465497564,1.1131607007435909,1.000599037165158,0.9663264291466024,0.6789343620208285,0.705305252054698,0.6226568428999795,0.7047335343850023,0.6481451756023181,0.7152136183177739,0.8387311395995253,0.6379973561525811,0.7235499061716282,0.6726328619874455,0.5405865397052002,0.7092609520367398,1.051992615676755,0.9081722900979929,1.3046095538391063,1.5716811108064157,1.8756320819975616],[0.8012466858883952,0.6495523081617642,0.675689744646751,0.41140472017004837,0.5275870009822199,0.4916995633719026,0.4483616996928837,0.48213924932517965,0.49403235841994175,0.3897375544162691,0.39441726604341126,0.5019995574931927,0.38723188195824876,0.3695798050406345,0.3994532641998833,0.38753540895580973,0.40908148161653185,0.39107255738434765,0.4305254760982612,0.43842910267810914,0.5287060024487901,0.7030513421311915,0.8357661856333278,0.9042752447424228,0.7438952106817102,0.5832135010325242,0.5613581897936953,0.4005392660218294,0.39386167127323984,0.3787305087452278,0.3713255851263446,0.420302625692478,0.45778035331118205,0.4057339363242674,0.41006447863220036,0.4174904411294231,0.4441331729891474,0.4888957404597526,0.4590579636067429,0.6276239650403175,0.7753980355854594,0.6759169770119318,0.6839450266282475,0.7243674755548432,1.0355714370589322,1.2477639560333758,1.356902332051914,0.8393222576403382,1.393566598189098,1.9005648812261233,1.2957144729600532,1.7471440864021102,1.6193341335914595,1.7252609524633293,1.6496459175352842,1.0373819670369666,1.1447679533043489,0.9076114068129855,0.9697899041085097,1.4955644095793075,1.0200437646728047,0.6615764764982115,0.5174962185490962,0.6840436294703994,0.6239064001030353,0.5437567671241441,0.5811290670446273,0.4220817548662114,0.5436098794748205,0.6045602955791755,0.701501887443941,0.9477962152951764,0.684449544931983,0.692971582872621,0.5364665464976514,0.7928225057708342,0.46369553933369156,0.39923529076463454,0.46638273354368887,0.5310334430727176,0.5138301793372717,0.6434080105063011,0.9180709450445367,0.7038473942417321,0.6831406410034231,0.5186026823052469,0.4702523166942767,0.5391624527721974,0.4447501336954652,0.5129061720040163,0.38293846567221473,0.5318763271378083,0.48161977369134246,0.41707884787550803,0.41235998279178954,0.4619276651248814,0.537193707673602,0.4802729137328152,0.47948992111873645,0.6115753774926674,0.4749985765888415,0.6064428071076382,0.5045512783146634,0.5760797224004129,0.783177799165544,0.5818690257356995,0.7425642673700997,0.6856163489422632,0.6212780026314497,0.7282629518291662,0.5406200550731984,0.5091163820649675,0.4569945288178374,0.4264614375346776,0.4251705678801497,0.4230862534406488,0.48876553895203945,0.4091779356773184,0.5267358371652067,0.44842932152554554,0.461477476194077,0.4737190226581672,0.43198269338870676,0.377512833225647,0.3627646271776748,0.4417870830976469,0.5400017419548111,0.546887504808863,0.5709536725538963,0.5595141257623432,0.6604124719058821,0.6886894079229344,0.6361215751609929,0.5728676508853872,0.5797655755482507,0.5684343461547948,0.623218013285196,0.5235821943944743,0.417944446472117,0.4206028696290872,0.47355345764044116,0.6090045189551692,0.446319983272483,0.40138196628260797,0.5621742409600636,0.42604706809910864,0.43600717963353836,0.4670337799348825,0.47164811162918385,0.4845058454501903,0.5617550818050108,0.5391254031583728,0.8483790664316191,1.3780994037287395,0.9853541224501241,0.5484231639848404,0.45417898690085,0.4923413589864298,0.44996777137716815,0.541165975121595,0.48853616145842915,0.4603426483920597,0.45252930868299573,0.5049124703514806,0.5394940626583082,0.6845500436881837,0.693842999121539,0.9903621519654398,1.0056962094887432,0.7877578007845211,0.6319977120072583,0.5194739301604478,0.5042386186902555,0.5184820478748805,0.5157334358387019,0.5115080723605621,0.5263068513554128,0.6110931064736234,0.5533663104068429,0.5379349930530176,0.607825280220162,0.5179652474323597,0.5341543242301289,0.6334510509357649,0.6648804551147145,0.8078852999086109,0.9438865183498588,1.1507408661208345,1.7958434809312391,1.288131178162037,1.023960313229468,1.242329096266244,0.9567006666389102,0.9334334766828454,1.0190979613772104,1.277316264887821,0.8322986283568661,0.827434355392298,0.8174280318882939,0.6989900889540467,0.801435941326752,0.6833513617960552,0.6338165431085505,0.722942047981486,0.7083351467425612,0.6502427628209982,0.6702520553774421,0.7402140546847401,0.7165254990562699,0.7814249329390016,0.769003470938015,0.8000892094191513,0.8789947446366911,1.0437151781333196,0.98339356356716,0.9376412479027779,1.0627177727034276,0.9707998229485454,0.8923335139555019,0.9165439633705158,1.0780500611294275,1.4584695017483633,1.2299173510378558,1.2462126452787963,1.0578544437392388,1.013092148591835,1.0223374411844297,1.126901541507511,1.3755153780458866,1.0654757560798944,0.9868516734295203,1.2181600509469006,1.2060219152515346,1.0352404757480722,1.2327369876409922,1.3930627504676465,1.3122820878859982,1.2317924314775948,0.9549216705386477,0.835104297761156,0.8747635853543217,0.8082936485876303,0.8301494653889924,0.9298228356049283,0.9100892553211473,0.8899385647497979,0.8431994671418911,0.6826368292025347,0.6885923190540004,0.6556021428916478,0.7171263321748099,0.8141760729956101,0.7509349268741768,0.7522717410042954,0.8201884747035483,1.034740136646176,0.8571450595644167,0.8849512985510531,0.8191641847366252,0.7922476683111284,0.7445170322374297,0.8586267464619158,0.8783344842443525,0.7880094020138848,0.8651403523952645,0.9666472158009765,0.9338712094384978,0.9295978284686505,1.146143479653334,1.3609342956117236,1.084229341220898,1.2858678027794463,1.4356127066108526,1.455806502421133,1.2900061377034084,1.0936791470971061,1.5132969790071127,1.3647410142227236,1.116466967258873,0.9777310334530905,0.807292775326863,0.8002139473005269,0.8658295310777469,0.7791503405272571,0.9930192404332966,0.9232850900531914,0.8782337740105735,0.6257089671724605,0.6749439936594637,0.6174413985011873,0.6453482133299643,0.6033060666351197,0.657067130597285,0.7723305701876664,0.6098492919096363,0.6504519929635482,0.611562446488584,0.527070920807493,0.7069447302893548,1.0073505072150981,0.8774128113002901,1.2943937428254397,1.419792360021818,1.9812083608986226],[0.6598823552364752,0.6817448168489549,0.7083175604467512,0.5127759885364397,0.5627040424148425,0.5161618937356833,0.46832902355114686,0.5023930337939573,0.5242236306390109,0.44781650546338253,0.45503557912408193,0.5172931736586532,0.43450747084679586,0.41920474525446566,0.4404352077767053,0.4542750853782979,0.47509760394587575,0.46202406289283293,0.5170158906800965,0.5247505272985555,0.6132512991490677,0.7692783289541302,0.8870855513553008,0.921427473466992,0.7982245873577012,0.6549548784183217,0.6339082464466976,0.4695838771635774,0.45532580239561515,0.4678249677829487,0.4548767709573086,0.46683833438858274,0.510610388518651,0.48892535210761645,0.4541102483603928,0.4853012201136033,0.4830708208449719,0.5248854564310096,0.5208193894485348,0.6338617510575729,0.8065418286456763,0.7146510419147372,0.7184280380718934,0.7418572885675343,1.0981205512404368,1.2546893841396975,1.3980711398673367,0.8691380425252935,1.3834471893789395,1.8224348124288259,1.258178172594743,1.7726251714930237,1.6062157722414296,1.758867445981894,1.5902676346445925,1.0282469897521878,1.171895548095169,0.9077165495491308,0.9503423355469384,1.5288589851459302,1.0665127524182323,0.7087119861147048,0.5853551796204652,0.7735025589840472,0.6947181711195994,0.621497302457339,0.6249204083940426,0.5044727163992347,0.6177773583192777,0.6708926671994134,0.7603143933963296,0.9998888347769933,0.7403249818398032,0.7561806214520516,0.6084314822189815,0.8955262724420965,0.5582374147469237,0.47657421264552413,0.5178721155539593,0.5693690442313892,0.5591887596051034,0.6704090437727775,0.8722707703833456,0.7092172921313454,0.7474375535179271,0.5558960035336687,0.5287265475512991,0.5947476529355228,0.5081088451618856,0.5738100004234532,0.46898735253290225,0.6017069147170587,0.5688090252324786,0.4884720809292081,0.47943660796651677,0.5416306028340191,0.6107844815490989,0.516519157013646,0.5142020849313644,0.6736966531292266,0.523735171249647,0.6614724856310479,0.5155733986650135,0.575915499994956,0.7439692064239786,0.5854905517036488,0.7263458405895417,0.6528607991269276,0.6004155042954504,0.7628786285109092,0.5572464788145916,0.5295574554044828,0.4840629876082865,0.4807735801644087,0.47842248188754627,0.4736093384078154,0.5425013448477262,0.4597322810936217,0.6061533041514539,0.5015878860845109,0.5149669941978675,0.5185961801367984,0.47188594938062767,0.43237489603124074,0.4204725839100704,0.5081459518926786,0.5584790240320607,0.5611844305526725,0.5640582166287776,0.5637198215522572,0.6396006774024842,0.6514106084116903,0.6337919670624822,0.5628198155801671,0.5923945141161616,0.5817606486004282,0.6414138039168668,0.5579882718534922,0.45324105326666275,0.45181334132346235,0.5092099581478956,0.6218659965083071,0.46207657916552936,0.43779900760445006,0.5949353810399497,0.47974045139265725,0.4868208681062478,0.5158135553831578,0.48736448252769743,0.5000531223890846,0.5883763666665368,0.5756176732707741,0.8778007463789641,1.4801199074521045,1.107705308710805,0.5875266740894942,0.5080385380200712,0.5036431292961843,0.4769066690841533,0.5378673787440827,0.5085960911598397,0.48558531619599826,0.486093551569509,0.5398422532153274,0.5568598578112198,0.6681358708988046,0.7288903005319481,1.0017225023690874,1.0155441879615905,0.8279398077757296,0.6885637177854973,0.5317372810965622,0.5288424462434002,0.5322130199889282,0.5223108418055316,0.5174852738279069,0.5446663649696165,0.619269678774284,0.5713079288818527,0.5553062794640775,0.6218819393759624,0.5152442472028461,0.5396977496004238,0.6594403653720085,0.6914287173263065,0.8365277080383816,0.948713434333349,1.1729839746447506,1.7914405561747446,1.2761076167300127,1.0323322725215915,1.3497227965308527,1.055277796283348,1.0028303211674992,1.035611315427234,1.2719879014566997,0.8051554771317581,0.7661766768539041,0.7646959494680737,0.6717518409977764,0.7372789376847003,0.6640173265436907,0.6354504262847641,0.7008884450152577,0.6756172756250629,0.6534311094160572,0.6665561882504021,0.7085883644176301,0.7048930875883768,0.7901449600709682,0.7516794714310696,0.7820056442205857,0.8885043186149844,1.0212157841302514,0.971286594332703,0.9069619990652911,1.0329924622185402,0.9215184165440802,0.8361390035339499,0.8585952425440666,1.0062359269776022,1.3956027681634187,1.1774354959812001,1.2235574151833903,0.9742716152918036,0.8930710670727777,0.9085573791711645,0.9914053256943804,1.242133656148642,0.9551111690906303,0.8646798559641801,1.0935481654491597,1.078689825140498,0.9182368101402685,1.127717699756893,1.2740261881012804,1.2042698383467358,1.158276558582284,0.8732347340240444,0.7659079337065843,0.7726280505657803,0.7335175235934648,0.8177504222858837,0.8539367022366469,0.9231711739042849,0.879180596960111,0.787532832235363,0.7049142496705745,0.7422914471085151,0.6680058182320405,0.737553013969666,0.8706734229772052,0.7821433982400222,0.7512792294168414,0.8401151788853438,1.0567043992855565,0.8548098913862493,0.8504431739870136,0.7816865570143232,0.7366175981520494,0.6916939781494311,0.784699661306221,0.8034811569875927,0.7387911354586444,0.7984930589934315,0.8873012891229985,0.8637792424422787,0.877079133071194,1.0617135049185242,1.2702489658714564,1.0252166195569494,1.2079365696397897,1.387705206081174,1.4272431292209151,1.2384316352327613,1.0449789347801963,1.4813087447752151,1.3502154563128212,1.0638944261526593,0.9514869281960829,0.7832044423455166,0.7878250435035565,0.875297512513978,0.8030958942452597,1.022382330790902,0.9951241583404524,0.8969980062984864,0.6530750726911636,0.6727509763441072,0.6177207485517316,0.6808088024484747,0.6326856587266897,0.6804371246627623,0.9436179159941408,0.6673377470334547,0.7210683721217497,0.7266409127963644,0.5816222739635868,0.7332214064173282,0.9614789379143964,0.8583310610393556,1.2003053585531713,1.2799034847847168,2.013368598357749],[0.7155191569746738,0.6583435006383757,0.6579202176580328,0.4131107856326737,0.45650070380241026,0.44744113346770636,0.37732699411352677,0.4209360323951006,0.46242262827316255,0.37034658699897577,0.3837356038349019,0.4333145764855783,0.3558122478015104,0.3649668806179906,0.4066803460583082,0.3844195909626138,0.4164033248316162,0.4131190914768579,0.49184180406033773,0.4610610572951921,0.600914435599338,0.7290490750405005,0.9195856210215578,0.9686163064854468,0.7799838743287716,0.6164149240643376,0.576178949593723,0.4003223188099098,0.3829401069977585,0.37145019422816705,0.39995801500692646,0.36766964772971766,0.40910122348076283,0.4155258736086241,0.3872160714651034,0.4183022570200472,0.4098093281433226,0.4926025541457283,0.43941195784795534,0.611055655933551,0.7366808728069089,0.6604387727944907,0.6960342638260364,0.7829697118746174,1.1116258616731043,1.2957604130426847,1.5247678893792354,0.9688961642452542,1.3582947667363983,1.8903596444759527,1.4835656841173552,1.932066780121384,1.8048267640307278,1.996940878769465,1.6762817606328275,1.1106478813681377,1.166750049292394,0.9795190502431437,0.9723072606690332,1.5866392377718215,1.0885946860980518,0.6769436012586817,0.5551971654900055,0.7613184112581924,0.6703157278395069,0.5862557434963162,0.626721499674568,0.45848079003208536,0.6213647049732227,0.6690082938111666,0.7495274134030634,1.022384811033343,0.7358462483944544,0.7611008877000167,0.5703902522811776,0.8321448732609962,0.5053286775395859,0.43291400178152467,0.47811215938290214,0.5370334482432607,0.45931849600479924,0.5893178293353059,0.8551500843007134,0.7058662904184727,0.6628349066250249,0.4793528372126311,0.44630593903363175,0.5156587701447367,0.44789000265572465,0.5077523231455202,0.4087339903951282,0.5941145584465399,0.5581532570818437,0.44166922490034505,0.42814967734310727,0.4958701175311783,0.5744716649628037,0.43483523374529887,0.4263931394615726,0.5718191020941038,0.4109808573113697,0.5426980979424856,0.4044634652691945,0.47159154526463143,0.7487213644879551,0.48212162913772616,0.624372539512737,0.5966781862363708,0.5183427383658455,0.6323593888239349,0.4324518784115171,0.4084795953782134,0.3582793412005054,0.3404182648765714,0.36631155064987925,0.39247255295785255,0.4674019713536411,0.4245491951659589,0.6020448017241086,0.45923165810132394,0.4935272594375311,0.48277698081928627,0.4370384302825304,0.34828237577733845,0.31741977798625853,0.34803113952425,0.4569984426820216,0.44933325291167975,0.4428770248304597,0.45636526673952515,0.5636897129585169,0.5840665821597223,0.5734476093034357,0.475404682048031,0.4990468848238048,0.46507464357447503,0.5323101811737996,0.4394770942458656,0.36180753144514394,0.38287193341186243,0.47018325751589113,0.6455523033844817,0.4622194381746655,0.38405991910032217,0.5308298722293463,0.38269003164099247,0.3792077666851775,0.3996958454545684,0.36485348493202807,0.3951206994605451,0.4803848124051812,0.47746476846694913,0.7727463393971414,1.3874160963638107,1.0300168244597243,0.4745868236887263,0.39665285929403477,0.3873081114578622,0.37426467806671265,0.4354435830640466,0.3774076773878351,0.38379949933252583,0.39569493994327903,0.4662288285143801,0.5090593829763929,0.6380907182034095,0.6592307128248395,0.9668708865650708,0.9211551925538094,0.7137708038933729,0.5752924995128348,0.44794936554920145,0.4321076889170084,0.4205482547478628,0.4071226828611189,0.4123066674622854,0.4413380046884904,0.5029301123689924,0.46710367067194974,0.45480091066452977,0.5471939724173267,0.40839646974680816,0.4725916578889998,0.6076732306072902,0.6152081657063698,0.7937215273235881,0.9261405368608537,1.1831524191330636,1.7903765822451445,1.3023711437609085,1.0897280164780103,1.324219300241617,1.0213933425846875,0.9573557630957561,1.0437654070035076,1.3091989952871932,0.8288211329618836,0.7720596362147427,0.7483530755781673,0.6191511502997662,0.7290379378035767,0.595931282216239,0.5472185147321239,0.6576964438732493,0.6386547242703731,0.5801669875456422,0.6066344535121835,0.6745854111841098,0.6468455256450787,0.7306756604182716,0.7234185550688412,0.751460229379778,0.8345708657654003,1.000333366441948,0.9595658948116887,0.914484261046111,1.0228251582375059,0.9440724382970844,0.8343397835961794,0.8594474162879796,1.0643373052378697,1.4329277457710003,1.2360515911886392,1.1961983029665566,1.0255561294754987,0.972676253327542,0.9561395839202723,1.0830077095873702,1.3529116136943753,1.0293056402360314,0.944576497334557,1.2399086799142658,1.1876783745732542,1.0108103559968784,1.274618434802331,1.4131113202083345,1.3025768030693003,1.1814973252271126,0.8985715131624095,0.7735321903300102,0.8254466956763797,0.745675405123946,0.7598156613008281,0.8216874096438469,0.8226191551230558,0.7948055415470882,0.7815585343479657,0.6406134679911673,0.6711272269528579,0.60559355712606,0.6568237651269168,0.7705045789668108,0.7029675323136345,0.690179570157749,0.7662978914729427,0.9921089077326274,0.8053539276248346,0.8144003478156163,0.763225037658837,0.7236904446202715,0.6826072539589639,0.810139046934632,0.822963216280156,0.7364947419395835,0.8126808750906707,0.9291980805313289,0.8830674883695524,0.878602990138588,1.1298190611515373,1.303889873394279,1.0222261423867838,1.2505461126292934,1.4755328734628503,1.4869112616818358,1.238774056867083,1.0154151982887503,1.5920894887234887,1.4146295722908182,1.1078080946401914,0.9540405695233778,0.7608296502441501,0.7651973744036221,0.872011276823671,0.7558629979892458,0.9048710464917237,0.8707965938670618,0.8170392674846578,0.553138414012698,0.6009506263582404,0.4915540096561466,0.5862104197796414,0.5347929138479658,0.5863174151367593,0.8407727717715868,0.6011486722986895,0.6501829377656377,0.6602769922385631,0.5401761472597396,0.7294222728238379,0.9619793279454146,0.8282968997386578,1.2379648939289316,1.261305143010959,2.1440522815146856],[0.5778431610643959,0.5814331491940007,0.5749474772397758,0.3513187295791281,0.4189529937404573,0.4023766053358866,0.3741079530187136,0.4253709288918793,0.4728234908517792,0.39710148001144185,0.41301935700478576,0.4367867718833019,0.39697660467590756,0.4036182373758755,0.45509579647381454,0.4235754289314821,0.4618136538980381,0.46338740056532446,0.5467542473187942,0.5125822004302002,0.6567376540609899,0.7626622156712671,0.9658525438056951,0.9907783789926073,0.8138338376455889,0.672715443235734,0.6226532370850374,0.45831137516871223,0.4268260068459968,0.4220847803123596,0.4532635882927432,0.39943941882633965,0.44978906641401695,0.4685185484152214,0.4277290242873829,0.4679639602304235,0.4315790592309161,0.5420066746160945,0.4918920717595109,0.6803176272703774,0.7865793452802409,0.6806154178831074,0.7339884844466715,0.8536608154856348,1.2200027077388662,1.408572655973203,1.62221226912622,1.0660290734252234,1.3750021183089016,1.8545529611423173,1.5164377897795036,1.9973519340597345,1.8794655550565085,2.1248329011660227,1.6705375935579694,1.1610887789906312,1.246433629783912,1.0117069991256527,0.9851686066962908,1.6367706566799693,1.1744766513883222,0.7253525599370907,0.6190962564903687,0.8226825884087926,0.7294037268753428,0.6628946960160728,0.6653925674697712,0.5148139719554153,0.6721562302734312,0.7308120195436965,0.7838513386949063,1.0624311022800654,0.7887217660852145,0.8147965956512094,0.6300811542869142,0.8889886095068199,0.5661858550763964,0.4961791306432951,0.5197068569968634,0.5738533881671726,0.4980287631895943,0.6238901279199922,0.8545354310916523,0.6934757018560154,0.7154818676062304,0.5167537946096301,0.49705767028510495,0.5670342631214995,0.495999111748748,0.5381392930986632,0.4732282452533522,0.6483000772273285,0.6138787178102889,0.4967798890106199,0.47514300520955394,0.5533939316981427,0.6084913188982845,0.4569490319703008,0.4436677610602074,0.5674087384501967,0.42581062119457513,0.5287427112116856,0.4167845776037436,0.4592295320306743,0.7083441525721019,0.4346849410471001,0.556501020159252,0.5687288040035277,0.46296532406164215,0.5853637299164808,0.39130460352964525,0.3805484661306538,0.36887875625418426,0.3593804154525167,0.39786088658379254,0.4177800339771206,0.4895681545936651,0.4720377788801615,0.6466814433518794,0.5035053776792536,0.5290372326819797,0.512778733168951,0.46295645633871746,0.39380980789847614,0.3491260381343599,0.3655110432802029,0.44018448489235124,0.43805177816988755,0.3958005520170612,0.44734376427793443,0.5276776669559461,0.5339801138626884,0.5740571104648208,0.48138464110815243,0.5158957824495936,0.4919394703944368,0.5873250390859494,0.48843106641103395,0.4231387416683291,0.4619282008120378,0.5853443519414157,0.7293313117251654,0.5586035665721315,0.4674763432375655,0.5638869905816517,0.4561172741487544,0.44077475935852034,0.4238574147036714,0.36479481186513896,0.4181338841485708,0.44895946799701153,0.48679571311083275,0.7664335629327506,1.393354585479613,1.0838344719303703,0.47864908542888335,0.40682702784826424,0.37949081155855646,0.38023774024096774,0.4253685600300996,0.4169634589374684,0.44242138512757606,0.4638251075183838,0.5280540540067126,0.5888456966357436,0.6601976102647075,0.7095976557137458,0.9961542547371657,0.9556472434329057,0.7657086368604608,0.6359886632868736,0.5036730658849433,0.48471890405077184,0.453900246837356,0.4439380233916782,0.43968594806505773,0.4779130034980475,0.5124192074688649,0.5063949221261747,0.4720824942463633,0.5774284829662624,0.42338282539226196,0.5047102074158227,0.653915244759749,0.6532453629281332,0.8603450133825625,0.9979177283510402,1.2934198626848497,1.8351798367347179,1.332227295249255,1.169142252451866,1.4135447398166328,1.107989570731416,1.009226425130798,1.0368805781835275,1.277494987914038,0.787053500195246,0.7224075090408414,0.685558109251224,0.5571892364196034,0.6367907865130985,0.5168185569714684,0.4837592657578928,0.5759590146697964,0.5467713783088222,0.5208335442541566,0.546093795872127,0.5899795154507003,0.5774231136550011,0.6830361606970936,0.6546874742384822,0.6777489899350964,0.8077340447866184,0.9645374581872432,0.8991239428328495,0.8447266319909698,0.9437139347853604,0.840236365173683,0.7241657021498179,0.7542027156199285,0.9172929508454013,1.3367899174294757,1.1240513008768631,1.1631743646986588,0.9152246007019368,0.8303248625857093,0.826489180867165,0.9579186856247677,1.2111913730826112,0.9161199833834923,0.8099803575279896,1.1036323063730333,1.0589730051478194,0.8918618032600201,1.1765176378260906,1.3018813595104168,1.1924417645681493,1.1087516070605683,0.8012866632972071,0.6997837083975835,0.7238012896231305,0.6361339287310719,0.7130463684130038,0.7526201985533305,0.8258704339553631,0.7626101638078613,0.696759491148272,0.5976911833000337,0.6508912717836328,0.5434068340960185,0.5945894819795571,0.7339104789249337,0.6533871511758008,0.6340704271747617,0.7118538311568839,0.9582822478461216,0.7424816860779891,0.7345282077154968,0.6724142871328228,0.6193985006569064,0.5814031045032103,0.691800540042627,0.7060644166054949,0.62740691790244,0.6978160371601608,0.8062877618054468,0.7719344979122872,0.7805938612911236,1.0144677908553361,1.2025571935538684,0.9299401319586584,1.1316722255530622,1.3929670300406605,1.4251415922858572,1.1590909447142945,0.9282616793256301,1.5336330423601452,1.3765052289580477,1.0168272738757538,0.8880369866261304,0.6824699158373454,0.691491517129233,0.8231925375121931,0.6969770608098478,0.8667720161769156,0.8467962669130711,0.7454613977565901,0.5059938419708331,0.5526027391908946,0.43492351754412223,0.5336814222023424,0.48758032946335933,0.5234325985215444,0.967304772156328,0.608913230865602,0.6359340187596184,0.7443478381937827,0.5926536550459505,0.7058311515615118,0.8786970278787647,0.8078797393993797,1.1946940708206975,1.2207053671052723,2.262834437354568],[0.5002270283066163,0.5338794219948787,0.5404180744935048,0.32682608239582883,0.39816999988930457,0.4005674205924732,0.3557329575629826,0.40810184637795544,0.4440304499759146,0.3553331956419636,0.36652607728350484,0.4204797099737175,0.34704708695375464,0.354171239143097,0.39377914226663674,0.3710989279320364,0.40628828690936697,0.39816603679980106,0.46537546537587265,0.4544049512640157,0.5677859136406835,0.7150645736388465,0.8591956600571722,0.9053706083174095,0.7616112573160712,0.6033058557201265,0.5632643556977529,0.3892936379180339,0.3722598740834132,0.36404635459777573,0.38925125018415113,0.3550340601432477,0.39527166619976634,0.4005174607156753,0.37182038477291557,0.4078699521612064,0.39512983358654713,0.4775987854591586,0.441599893164491,0.6073453003311766,0.7477735596354658,0.6473928611152656,0.6785637557062915,0.756989757819248,1.1136430315148045,1.2815540907748972,1.4493070787578748,0.91516361754351,1.3760706877961395,1.8140561318549837,1.3587288865803206,1.8773209415763674,1.7349521512755284,1.929231420554416,1.6159848893226283,1.0557863478838,1.1770893845993167,0.9342576695911023,0.9451891246746217,1.5464637641034658,1.0780898726164427,0.6791606746996763,0.5493653260626645,0.7323340029734703,0.6598135351760394,0.5908288781264731,0.5931609453412462,0.44807288046874855,0.5965637214680224,0.6435757689523229,0.7231292160252131,0.9810233850766563,0.7072926417743743,0.7389662549691606,0.5523804557417603,0.8199886002998454,0.5023667577487748,0.42112039906325344,0.46678811801391185,0.5237324837082518,0.45236379533574045,0.5855205130362345,0.8534535018983318,0.635998094911106,0.6653337562714352,0.47667180176707735,0.4436730266750202,0.5192317361563521,0.4329488233270599,0.49819077405655326,0.39494749361271114,0.5746846776283993,0.5389076106532437,0.4279510133289038,0.4101973133800075,0.4847652739679963,0.5528097742103383,0.41312725674238526,0.403763896542169,0.5474005967133512,0.4059521877697517,0.5381803019752346,0.39840600403187243,0.4452052892131282,0.6961876445118084,0.43511658570483447,0.5476138164647653,0.5448475045259805,0.4496027655938395,0.5960317581167233,0.39449442060012624,0.37418540387145005,0.356659294417277,0.3341750966789045,0.3656856524613262,0.3908710953953146,0.46304944774583545,0.4043701372062797,0.5799383903951433,0.4510645477856305,0.47912445961616085,0.47930921334724297,0.4295457624213426,0.3547473533949062,0.32136945899969704,0.3489055900260076,0.4354642469634524,0.4243491720052065,0.3920179749238476,0.4390113370614088,0.5086348703416675,0.5137197939767685,0.5444480124307686,0.4525463936260784,0.48785790724709444,0.48657881001357256,0.5804449457911407,0.4649330393774434,0.3832911982746196,0.40457721171703254,0.4922856210523651,0.6241697746033168,0.45227837686841205,0.3890305471709108,0.511706498816031,0.39898987164592103,0.3948672722678507,0.3997015021646644,0.35456389986137876,0.39312175997878857,0.4493138807371267,0.4649240616232968,0.7517087038992251,1.367042666427667,1.0347949704255623,0.4628708527844402,0.38979875513076895,0.3748117758315153,0.36059194963181984,0.4187786588091315,0.3889700172350867,0.3937543254769567,0.4211359646295313,0.4826815169367704,0.5194981891746546,0.6271821910542973,0.6694251126723534,0.953106243236713,0.9462104865387579,0.7714136221141883,0.6168789905771324,0.4640964766342045,0.4414293132178482,0.42133946642896464,0.4112611775974011,0.4176115333570185,0.4544708697455915,0.5117906019131931,0.47266153266015265,0.4333918430087071,0.5240785856298907,0.3956933023927044,0.46866498790880196,0.6061692206664197,0.6151402977428941,0.793252549550972,0.9303944169183284,1.1956406148796064,1.7711525798759753,1.2477843317974153,1.0763676749449766,1.3459460761389297,1.0415028527844727,0.9572267035260626,0.9782767270728913,1.2241903219144394,0.7400953502645871,0.6755178602615775,0.6503910350858122,0.5365946846847158,0.6005271875698586,0.5005540273273231,0.4745777917433658,0.5455595421493764,0.5181764721970589,0.5140074050345155,0.5251673116972961,0.5534310959816047,0.5573127218529061,0.6652203192742883,0.6213377252441872,0.6381137200699217,0.7844271593529569,0.9297566238985243,0.845064372346836,0.7939859077361461,0.873607263048672,0.7541473572569829,0.6551504539377366,0.684971339490478,0.8219509948007189,1.2787698246680537,1.0553402626377764,1.158419170445292,0.8733156899507204,0.7624303344373071,0.7663330724657026,0.8734359268404074,1.1124599991719142,0.8471074887106992,0.72926308835237,0.9896037869939154,0.968397133412673,0.8077800506326487,1.0733621068597328,1.201659016585685,1.1070464172762435,1.0536862958588014,0.746913104359285,0.6581700235763257,0.6605847963891179,0.5898409130397956,0.6980606750314574,0.7398091427897314,0.8145492738839293,0.7456872917271009,0.6916813270001467,0.617063642556402,0.6652128362447582,0.5473780455625471,0.6034621983344066,0.7557472298307705,0.6612186946656812,0.6246516658628698,0.7056431918389878,0.9482650282394903,0.7097632800737874,0.6902457088852856,0.6319962773468367,0.5839766251156827,0.5513780492907113,0.6434388454274597,0.6559547736762416,0.5834945416104909,0.6424750179816133,0.7375516993393814,0.7133034180614981,0.7326603375401102,0.9351029384449411,1.1278844014301264,0.8767717157312275,1.0617049751448695,1.3084550862430522,1.3582147538754152,1.1164147016530868,0.8848857427120971,1.470716331102698,1.3612481109288885,0.9369998200582148,0.8196880002923852,0.632933346082158,0.6523277537638119,0.7808080680874329,0.6631851028992024,0.8619187579986496,0.8702088967074234,0.7299568379054823,0.4968385042252607,0.5377739574420135,0.43386687183344685,0.5433321205212863,0.5048304940062494,0.5348335358696092,0.9883478745100045,0.6289849678995667,0.6455124794373865,0.752490132146815,0.5966152619855531,0.7187227661990427,0.8656050480975059,0.7886547165164953,1.213338558792477,1.223086006904477,2.33641361867999],[0.6384175379692002,0.5325408695563063,0.5384074203730483,0.3127986017880588,0.40330269467523233,0.4339165343588816,0.37637973793364393,0.4207942885834015,0.4526579338089167,0.3649607271852108,0.37638283023616625,0.43488524129765627,0.3649659080262864,0.3868891284316397,0.43585402447365934,0.4065058636755798,0.4520483659692234,0.4479822430423024,0.5130172500832099,0.5128933442260984,0.6201704517883155,0.7562511975621447,0.9019095630506397,0.9733987293987726,0.8029387910428578,0.6387181686156526,0.614383110137354,0.44592317698621375,0.43828855481415546,0.40475433108514774,0.4321482647154612,0.3926427003763681,0.41956065048527846,0.44460441630164516,0.43798226376332805,0.46819532336710695,0.45470302169144244,0.517217686503434,0.47209904824776083,0.6435441610504543,0.767112160965701,0.7096244293042718,0.7222670060052757,0.790870801441705,1.0890065666432545,1.2961678497410543,1.4755478249181118,0.9678148137872513,1.4041910252633565,1.9440389602027224,1.4800606960847946,1.9233042993013327,1.7879103505933993,1.9560047252318928,1.6869817897360744,1.1030522781850447,1.1634202703789867,0.977244696276325,0.9947537948201975,1.6059874301795547,1.0733008117392087,0.7167429116189691,0.5821673527773892,0.7593780857983915,0.6941441583533007,0.6077802634088318,0.6496889730079253,0.5025782924510074,0.6215742169959022,0.6610608827632033,0.7493048808923962,0.9931015257079733,0.7139085440387963,0.7465305027406931,0.5820398715687636,0.8055518000827228,0.5481641266293893,0.4745969146878257,0.52511504549803,0.5846324535310857,0.5094882373997021,0.6265573941481644,0.8640452726976745,0.7445122542693501,0.6851847075584224,0.5087484473517191,0.4862378777740754,0.5551186407653852,0.4982948187428005,0.5518222560290805,0.4442505292831054,0.5986741477353736,0.5580193428205136,0.4567254942195874,0.44079831910869666,0.4902516712552035,0.5502780828853615,0.42578916884714474,0.4075899021696058,0.5144299914135179,0.4229855877806269,0.5139317270083746,0.4271528712773522,0.47730797346349635,0.7776354118083935,0.4695098361943046,0.5897855251457745,0.5823985827103184,0.4766029276226115,0.5729318476269892,0.3964315631042979,0.3961507455458271,0.3634945369571534,0.36252261274888337,0.40948703772921313,0.45571863273257673,0.5299512603080863,0.4758168439602926,0.6246714008516338,0.508131075604954,0.5297384023790507,0.5361734182837117,0.5048210374831201,0.4102273605945838,0.36224995217964523,0.36081989755676847,0.4436103157606924,0.436899241805668,0.4177677149731372,0.45729192577957484,0.5486613223692879,0.5595272687316875,0.5739627510328517,0.48205054263527347,0.5133845333091839,0.4987544576062311,0.5505790666736466,0.4755418112483354,0.41093490440574376,0.4098015632951378,0.44908612462368364,0.6218456744777615,0.466934929898208,0.41418385953137804,0.5640134055775152,0.41877303866274257,0.42311914330680817,0.440255091013403,0.399119364168494,0.38832312450831347,0.4600378948407515,0.4566528561877466,0.7322686100071678,1.295274412442022,0.9254082218031944,0.44980721921707634,0.38929033780454003,0.3853917973831361,0.39777855932791334,0.4489418642644189,0.4149306872088861,0.41559340589537563,0.4370621057232199,0.5134378501826004,0.5480337273774303,0.6759700587087417,0.6934715863704592,0.9993503834012458,0.9637632783312766,0.7628591813549522,0.6044899287081735,0.4989576267838778,0.4804105578337952,0.46982342096668567,0.4550877050405031,0.445911244805947,0.4653874277151022,0.5144115245306555,0.5143617141806925,0.4951088677967737,0.5842500039634115,0.4393745846530459,0.5063703588445722,0.6300696994517899,0.6457895592335987,0.8258697683737198,0.9401221330705828,1.1766199191464497,1.810062806593178,1.3128112629131412,1.0805451054410384,1.3143901322076361,1.0288302115025914,0.97471145650361,1.0459967441234224,1.2915568884071296,0.8044485608684925,0.7332108834868336,0.6873251809912666,0.5639837189928057,0.648888627771733,0.5157412021901718,0.4728249739757923,0.5552637482671776,0.5345892804861361,0.4949957824866222,0.5029383792929079,0.5530256905032318,0.5335718883016375,0.6490096666515034,0.6223557702133815,0.6254140020249824,0.7457059418585097,0.9290245750754011,0.8469088317663471,0.7995540786450003,0.8573720935421774,0.7629324523604811,0.6533626710217716,0.6885025111063223,0.8827102031249978,1.2888970387436394,1.1048124282062184,1.1376773363509682,0.9119772855964138,0.8410398725681448,0.8503260609733357,0.98316208663865,1.2176202309083866,0.9292969358203683,0.8350979105703031,1.1211023696907791,1.0621011315758193,0.9044733306240379,1.1952853264143843,1.310664619930599,1.182982845429261,1.1159120320016584,0.8088068819412317,0.7161384046812248,0.7595443257719989,0.6587842005069353,0.7139253814514724,0.7641687403349178,0.8088787375298269,0.7729077489274648,0.7061905754975423,0.575419090204836,0.6208070510040062,0.5153466326796055,0.547302145015937,0.664672936737463,0.6037538854230274,0.586283924925729,0.6442840152766235,0.9010594349087326,0.6750745490300998,0.6718112361786339,0.6230540032832844,0.6014610699487979,0.593177989558296,0.7023454406504733,0.6913853363046975,0.6081515889100619,0.7001145878044309,0.7882225421471812,0.7350776904435583,0.761102748046945,1.0073857852716595,1.1558468309073533,0.8738925829127906,1.1116410222930075,1.392314365413848,1.4074959703615968,1.1014470991519156,0.8534619869544187,1.561640791095929,1.4202635007553004,0.9790157739857097,0.8193154078875573,0.6297947854190318,0.6866117865648154,0.815261081355638,0.6560449746598842,0.7317267473278772,0.7457965760360269,0.6925915462529556,0.46510463419688597,0.5458539514958156,0.42746666383165743,0.493824527221814,0.46666500522410276,0.4852040351596183,0.7699577998714747,0.5623345698442068,0.5509430508655513,0.6206049763049167,0.5537189472678611,0.7257497912568696,0.8813373538482983,0.7821519295312503,1.266463706137418,1.2715730102715512,2.442705876691826],[0.5910790979103926,0.504802410921628,0.5059075663760841,0.27316255783170357,0.3654503733170598,0.4072304227638013,0.3632704530143566,0.41672552068791596,0.44853326203772026,0.37802641898289807,0.4012633023027966,0.40809288463491433,0.3822962705627572,0.42177298028423493,0.48057353880607356,0.43021727675297267,0.4577848052459133,0.4746954929879952,0.5604189893482106,0.5179749204761228,0.6750189712883206,0.7674120200278937,0.9837765826953506,1.0406349929306353,0.8173978463535099,0.6650849158223492,0.6054191638274029,0.45275231118206893,0.4364128725583966,0.4067804851341143,0.46454873958661286,0.3839089437956291,0.4088869638386516,0.45933888604510215,0.4281237059019166,0.4669913828847507,0.4255283282940359,0.5158916789365776,0.45312509776275184,0.670105290460714,0.7486766501169242,0.6833854773402662,0.7342313987732052,0.8583795747992574,1.1521786440382662,1.3581226742711985,1.6178469881948179,1.0834796827935573,1.4039261411340374,1.9591845261162038,1.6537974336627845,2.0837225683831178,1.956927677613876,2.2077978552830535,1.7527299736480229,1.1941056400454595,1.184645546244778,1.0629172728715108,1.0182754428447196,1.6585259706332376,1.128750141730624,0.7184894270006247,0.6147363126840887,0.8301942937299787,0.729969804570535,0.6405325887823132,0.7068040863397426,0.5316722292489292,0.6884507886060325,0.7434100440873728,0.8112726776270156,1.1005388252153512,0.7964138509243854,0.8167336409447759,0.6389457425067747,0.8318664120950349,0.5820736718168186,0.5132047657798392,0.5450501479459995,0.5942556488863512,0.4894945342047212,0.6120776575266144,0.806456964392768,0.7511248104994189,0.6870263761231195,0.4943817681220693,0.46623520475331054,0.543164698786529,0.5003818628142231,0.5473183564010732,0.481755233074617,0.6515121607046658,0.6334371133466479,0.4926631544456468,0.4741692383569469,0.5453597845893113,0.6068199737206432,0.4400614935157268,0.40254302496446875,0.49710755529523465,0.40050561307187105,0.49242231307788603,0.3983903738166417,0.4342242112258972,0.767073941610525,0.4187689993174887,0.5384472297606065,0.5636233097246128,0.4444048677683598,0.5232874306976156,0.35856456551274973,0.3607979403104932,0.33700382930511846,0.317377987465613,0.38061482464469004,0.42169390061272566,0.501470421835207,0.4827124866558464,0.6621898526644666,0.5173262085326451,0.5597980435715636,0.548103071286311,0.5152927469125433,0.4049202452158299,0.34963678007546906,0.3125116032344206,0.41363210714790527,0.4161873238933907,0.369151404359919,0.4348249173297064,0.5188063033143712,0.5408806745643195,0.5942790294960797,0.48890054139171285,0.5080777351586134,0.4764559229555893,0.5464306494988753,0.4524979860497373,0.37650732750555543,0.3931872042373509,0.4767828572596584,0.6936466555303249,0.5089038730348449,0.41994737518782105,0.5411111225918929,0.40965776483411326,0.4070633151851439,0.4001109467320329,0.3391339804160866,0.36872999768673353,0.4146671498393921,0.44388250260265727,0.7056357525452286,1.279749132816928,0.9667890990676267,0.43099872654499494,0.3904057581381654,0.3466418144372029,0.37140232559435227,0.4079957382389039,0.386268986261261,0.40375246839043993,0.4187304881352327,0.5105587545229862,0.5693563110757576,0.6585275876295106,0.6978928147112562,0.9985476208061934,0.9145606196861734,0.708194109596307,0.5904210351408353,0.47187681321272584,0.4628107860627769,0.44195068544485655,0.41642365692119826,0.4123231518555191,0.44425557009392025,0.4673577309396905,0.4886736620443125,0.4818355271061015,0.5729446963349066,0.41143426850153614,0.5157083877373063,0.6654496569088058,0.6474246960289974,0.8389914398511078,0.9618265853134801,1.2381436670935253,1.8061895032999227,1.3507164035603203,1.1745226987204043,1.391200179369078,1.1110604955520311,1.040014631812248,1.11940129094834,1.346511281935596,0.833866646093184,0.7426354267383993,0.6841842126992801,0.549580520953133,0.6431043773406423,0.5029331843397795,0.4540322540119935,0.547436232935962,0.5262658363148315,0.4891321529594333,0.4958066418380413,0.5437383063602971,0.517722454054579,0.6339355264706253,0.6076430300409057,0.6102493999786102,0.7336932880632437,0.9264042867259548,0.839935729224642,0.7932985779593957,0.850539510851846,0.7661383625527255,0.6486916553237093,0.6867458972168644,0.9099845824686921,1.3248463927900878,1.1306093707721177,1.1364832582566797,0.9171729874093739,0.8583426159028116,0.8646036296907701,1.0230907712751458,1.2476949245955635,0.9530402271924241,0.8665796584681462,1.1854449773673463,1.098676954085541,0.934750763702599,1.2695931613086548,1.3710342398456212,1.2155023242995304,1.1182449697302586,0.8092947155739765,0.721668602147523,0.7812876289099838,0.6668761197933217,0.7325493432010594,0.7610692991452347,0.8207039433608659,0.7725414212641708,0.6913341112169097,0.5707425519823678,0.6168598828875922,0.4977177586214574,0.5227912552350734,0.6438065778989126,0.5794354425837102,0.5652559362722925,0.6201661920521782,0.881048877348053,0.6584723726895954,0.65846832666379,0.6095085327486516,0.6006180525556651,0.5982064010590036,0.7122074731320017,0.6905104175263751,0.6052840996386382,0.7091721077216803,0.8026938569422855,0.7420356687805374,0.7637923381036843,1.036196845749701,1.1766240259052019,0.8714293899986592,1.114140360820121,1.4405164809404927,1.4405847905009852,1.088959815402072,0.8431441091447807,1.6015716448481883,1.4206683059108225,0.9967013787944813,0.8242409108617559,0.6241947674791496,0.6764399367650983,0.8106561268684483,0.656036633706166,0.7062368267383597,0.708176456367107,0.6733442058688988,0.4405856541171443,0.5251285183749216,0.3718276077189618,0.46190374952755336,0.43139688830774114,0.44725176076901957,0.8221117319044304,0.5573504660484986,0.5395561555494837,0.6560460871481337,0.5775287066583635,0.7141929362564532,0.8496427672522242,0.7472128195313111,1.250799958164307,1.277568802318498,2.5368597930313896],[0.5192624842057383,0.49908874697462485,0.49192199221998695,0.3103150317587625,0.40437249441260253,0.4425367677127468,0.4073746742367172,0.4548482689201844,0.4858830919568658,0.41701914533752943,0.43994205579996554,0.4429779240461167,0.4204306860058815,0.448605215558865,0.5068764337985344,0.455515620626846,0.471700597254408,0.47913241726969164,0.5427920109218424,0.502802263473347,0.642295768606311,0.744463088541966,0.9350253654278168,0.9835523368367497,0.789929612546584,0.6386532052258539,0.5930989320083145,0.44175998143106077,0.43714088699155873,0.42137536928811625,0.4808903756642157,0.4040408718284378,0.4328787296766109,0.4711442389051933,0.43823759366569004,0.47277541732700745,0.4330231169066271,0.5078068035864742,0.43964966887796547,0.6495748106962533,0.7392802546699575,0.6639338812499092,0.7072696713276663,0.8282480595874124,1.1358978637797381,1.3382796194090594,1.5624810426089126,1.0326146308676931,1.3893996030483537,1.893435141561349,1.565005945664217,2.0470421847352407,1.9189682167735103,2.184153316543845,1.7165162779804841,1.1577869231181759,1.1908959129230896,1.03193443145406,0.9872678776821674,1.6310453979432853,1.1161418552290618,0.7040477948002093,0.5986687689352034,0.7950754428553074,0.7016348220483782,0.6228287818294331,0.6846960543823489,0.5207951549295633,0.6747031797019228,0.7406554747431211,0.8060497218479273,1.0850803812272012,0.788272685148313,0.7966760282765782,0.6304919748837772,0.8266577349540619,0.5672558042527837,0.5041078647267649,0.5374152765765864,0.5783115025081484,0.4813564701146162,0.6005164833351888,0.817924612166572,0.7248573365051055,0.681652003796012,0.49155285900687573,0.4562236160796025,0.5390762425291119,0.49596401456967903,0.5511064006168185,0.48600913735634615,0.6487053797484931,0.640521481028753,0.5115134487106955,0.4966166236290167,0.5688279912316352,0.6255996292649443,0.46937150415804535,0.4386767873058398,0.5191128816813915,0.41648116482279035,0.510528957714232,0.4015937971678792,0.44598002452763436,0.7536716504148152,0.43247298366705605,0.5124322355667874,0.5547066682131967,0.44111208808787516,0.527512457903924,0.3811569062398301,0.3836554575687038,0.3651090495988965,0.3336996002573859,0.39815633245394805,0.4282327030153325,0.5031866257983487,0.47185403931554964,0.6427119525657256,0.521336270048536,0.5660835478259548,0.5676952243867467,0.5358279318759673,0.4312562551312832,0.39292660074619273,0.33485421618194433,0.4435713469950629,0.4375678475686038,0.3740427346832441,0.45859673501273235,0.5114149983275318,0.5256257337698634,0.5969658936136887,0.49846576714246243,0.5183093306853064,0.4976990249722604,0.5816531814894449,0.46525183413806154,0.3808884430896196,0.3996407277291734,0.4686059511393109,0.6607900908107691,0.4813659639591286,0.4042764044001963,0.5210683433192173,0.4060577556614401,0.4055501432832087,0.4109478605132532,0.3478982045460393,0.4034844754087283,0.43987992315651536,0.4766412523456613,0.7104400877753109,1.2671734560454877,0.9871448869208579,0.4602642913449754,0.4315267632256684,0.372820196405315,0.3921314484423388,0.42176521760371916,0.39968767175091524,0.40841061886427527,0.41710848988046934,0.5038797035555846,0.5639364664752456,0.6456463006887655,0.7013754987731818,0.9803446333792405,0.9261654327027673,0.7368646818661798,0.6180617108373387,0.4764347811539514,0.46452840877583745,0.43846062893269844,0.4082178305921339,0.41357656671245147,0.4501778941730544,0.4665278417759936,0.479121802242799,0.46438312650465474,0.5592883789657643,0.41610012138716257,0.5273671786875018,0.6757564340752863,0.6474042705067466,0.8306264620289432,0.9579642208820599,1.2418935681281211,1.791642411095496,1.3109443031876566,1.1612804227425684,1.4203513073700578,1.1259434592467332,1.0414354564426451,1.0808913418459565,1.2999232411686035,0.79895469323019,0.7211876239489589,0.6695667796185891,0.5528788738784894,0.6197976460187095,0.5102610694945459,0.47433007879169425,0.5505459281880273,0.5297356638596774,0.527823384976904,0.5198291074714451,0.5427311767042367,0.5407504467934003,0.6495372252978938,0.6128577720068611,0.605243190130298,0.7421402418588807,0.9043468042890805,0.8053522944920369,0.7574408955912921,0.825121717715619,0.7224181412577068,0.616791978652495,0.6507698545680185,0.8007915045893069,1.251709426424153,1.0668336559519853,1.1474576844348627,0.8782076586913903,0.7840178043865508,0.7926180736336047,0.928126114605853,1.1111891209458071,0.8855652697953008,0.7797298793538906,1.063614161251232,0.9956163402651683,0.8572325643346296,1.1717521838551743,1.2641182250967193,1.1307762759507718,1.0625493525942356,0.7603301307341821,0.6957001790754362,0.7155292868141473,0.6218353165207363,0.7227208110971862,0.7389875987708902,0.8373041347828732,0.7643507467571344,0.7065853285551867,0.6271147586937955,0.6720928907805221,0.5327250815679472,0.5611090404057248,0.6892208662612177,0.6129421886122276,0.5955919531807129,0.6358092025810677,0.8866653547144898,0.6579072094990309,0.6467192098204997,0.6039053883481649,0.590358210384415,0.5820320975076033,0.6627536514452194,0.652389804171948,0.5831049452098591,0.66364835250597,0.7367178744571571,0.7001619292837751,0.7316851669550254,0.9519910215670933,1.1044176927137146,0.8333809128743563,1.0343844780725633,1.3600668404090737,1.3932305240323697,1.0598590637741496,0.841722760950924,1.5816430102267938,1.4688179582680905,0.946216550437516,0.805532439669623,0.6365865622439605,0.6810624833609724,0.8160332072263611,0.6691306284779608,0.7412634335617897,0.7829644272140457,0.6956118080642789,0.47343321288384194,0.5427678215957851,0.37318213303630726,0.4916096507203764,0.4546815090363227,0.45503872344642815,0.965141522579121,0.6238371313257688,0.6004045331715491,0.7731228151297082,0.6681991892386566,0.7674848711992088,0.8309924814661342,0.7727284808519213,1.3117871038625055,1.4140266120804879,2.809533547461293],[0.6536410896095376,0.5379800929312927,0.544751057477729,0.36289071219028396,0.47836669568384466,0.5684654710575119,0.5105026333421758,0.5358129319178174,0.5662264883305264,0.5034911172936171,0.517772485529687,0.5622707611211509,0.5225804521490346,0.5476008343753431,0.5955562585273922,0.5634355436340522,0.5955952589950794,0.5868108113600259,0.6247403580697131,0.6374504827590117,0.7206774234033694,0.8384829197174033,0.9533305341807861,1.023290125113011,0.8642465341611588,0.7308794040382433,0.7090780062919612,0.5885476030471463,0.5842428686767417,0.5355634860045085,0.5792029372532467,0.523874352041175,0.5421079856606641,0.5730184903452891,0.5629728818481606,0.5826874011835773,0.5668704484917141,0.5998573888389832,0.5571259709054842,0.6539747915660109,0.8126639576687692,0.7873773323396908,0.7510332755597983,0.8116753252141624,1.109547008399056,1.3727477625342333,1.4992961344264435,0.9950928966574705,1.4774017214223556,2.026237713215551,1.4714291199109295,1.9250069454458063,1.7577048905153771,1.9261699610373169,1.677605916633534,1.1092518401388305,1.2002540693488064,0.953774233219804,0.9852084263466002,1.6624921311566923,1.1076417185340748,0.8163906293749399,0.6724693531890181,0.8252349649584741,0.7843233632744279,0.6850596702330205,0.7579712847455112,0.6339704067600789,0.7279022320950318,0.7518565282092005,0.8417191997184794,1.052087213857608,0.797569498510667,0.812676436240414,0.7042982357286586,0.8672346324017806,0.6715580422516098,0.6061050812396196,0.6445126586953247,0.6849330434043555,0.590204626346806,0.6656920146379345,0.8785771385168839,0.7890492957685232,0.7142809687958459,0.5605301771128501,0.5666562995293141,0.6243787771994453,0.6186500628186681,0.6659616015246935,0.5668613489692919,0.6766299842609431,0.6533115765432295,0.6035767570486696,0.5965821055756206,0.636624791146671,0.7012248275183712,0.5652210056240465,0.5437162379434365,0.6031103641962081,0.5228335594571595,0.5540270032205427,0.4997856597670325,0.5521703716854554,0.8450030128185253,0.5265388743791086,0.6017643478970758,0.5806787241035262,0.5020847446242159,0.5750391505572264,0.4725686926120231,0.4904887544825524,0.47317674667761733,0.4888489461074993,0.564145779715196,0.6135818838937069,0.6764197905647615,0.6203532619854734,0.7307596523406515,0.6569777439519486,0.6493676810398041,0.6752500721048003,0.6728330885397183,0.5703122111201365,0.5296527924468095,0.47920992648244953,0.5518725976483367,0.5244593051175579,0.459369787823993,0.4961914165499263,0.5354514106413931,0.5404946367256457,0.5741723048584181,0.49342397931307475,0.5172336973265926,0.5422388325955295,0.5745638302590926,0.5343546375266208,0.5220979027265231,0.4941717408003029,0.5279125248788918,0.6813383764654515,0.5508580064743529,0.5218943834636165,0.6670911883330127,0.5173956694597239,0.5283908948914241,0.536814248615003,0.4968675125073247,0.490244889336316,0.5585742510462172,0.556937688206913,0.7832840247299856,1.2745292537061597,0.9322457274588182,0.5582598003649362,0.5193920959167603,0.49444147935264515,0.49066219625527147,0.5105801193534734,0.4788643464995188,0.4933864362379932,0.5074835531437286,0.5709215995556044,0.5756184990262515,0.7179615779759576,0.7027472852902352,1.001774089829915,0.9743721698760486,0.7889957443740331,0.6153265900394504,0.5296757869441012,0.5121904047342846,0.5201201684540234,0.5109023927818237,0.4923560108371637,0.5339221030067126,0.5470410289396007,0.5632225178996881,0.5313479434339073,0.6309695906932035,0.4739559790869866,0.5001872227786939,0.6206758319537674,0.6333186841648332,0.8021859642569011,0.9137407182930487,1.117450928716148,1.767342371475564,1.2993329095353237,1.03639164401333,1.3197334383387174,1.0331498948150266,0.9751043244518206,1.02873808791072,1.2658084709296018,0.7852311464980066,0.7095474126803824,0.6657984456976183,0.5660419287360918,0.6410054593858893,0.5427111630265278,0.5104453034368824,0.5781238158764247,0.5668738295307088,0.5562535242139667,0.5553152365652504,0.5798134127042414,0.5746465405338648,0.6835467647553439,0.6613296453042327,0.6437430354608747,0.7434651844767217,0.9143895519886652,0.8251267528231607,0.8049184636472687,0.8369198684111073,0.771300446410162,0.6550776660726559,0.6856930522399869,0.8251588071364241,1.242779054273699,1.082691055315838,1.1591020213602379,0.9045007723344027,0.8052912351067295,0.8124343895929249,0.9389643361022049,1.1188254535069395,0.8953588511510882,0.793948111890884,1.0503515881637584,0.9910337461001879,0.8551642957761063,1.1412580360755942,1.235708543648587,1.120100756151759,1.049300807508664,0.7634062574214826,0.6899849969304138,0.7258536267485299,0.6548003318405382,0.7386620725428008,0.75887706700099,0.8535178306787149,0.8000084086924166,0.7194558068435791,0.620966097263307,0.6707506408810341,0.5524582291308303,0.5676618290691835,0.6654078828270487,0.6156367105848563,0.6171042326738043,0.6307562128580495,0.8607657812404111,0.6707610919000987,0.667849728699495,0.6384338301888532,0.6362513485145745,0.634788211498592,0.7063984017523595,0.6950317574395541,0.6292356548464062,0.6979532178519684,0.7680657017880038,0.7333605039956688,0.7544800717694021,0.9662501202076039,1.1078296674378323,0.8517516503478388,1.0365390789448452,1.3566467966342464,1.3985152131073373,1.0710150357726413,0.8885356705571376,1.624533238609717,1.5777059078558175,1.0099179046629105,0.8466411937999804,0.698562210437153,0.7651944738562652,0.8851427337038221,0.7324299716994338,0.7181060765531213,0.7707100006117522,0.7167680557789758,0.5047598316332349,0.5607531701253856,0.450439542517528,0.5049650757868634,0.49529403077337875,0.4917022057906393,0.7820967376565631,0.5936156013404269,0.5529474947019812,0.6757005842766624,0.6690137549647914,0.8129410114146142,0.8591569852234893,0.8138338924970933,1.3905241555552794,1.5239469333011078,2.9463631759392794],[0.6918478519926878,0.5501611509833305,0.5618494100938594,0.344451516279213,0.46824891271931085,0.5112750088300321,0.44725476650212925,0.49314219770887546,0.478774403660835,0.3957692666211503,0.4153397103264679,0.4532238748635962,0.42192238193325543,0.43555506579296416,0.5088405820137399,0.4692345951855681,0.5132738131662604,0.5239839563946073,0.6046064374777129,0.5893345104554195,0.7196642539842414,0.8106473325404503,1.0059939754994962,1.0840344809577134,0.8709025902035792,0.7130286397102534,0.667912072935118,0.5258679301489012,0.510357727307146,0.4651275420585421,0.4980631049776505,0.44088635502769646,0.4557720888081941,0.5051749256315546,0.4947871832215203,0.5336693337977839,0.5022773660946441,0.5757835839936748,0.5193918511198823,0.721750508932413,0.7890699141407926,0.7459180104000309,0.7704092557863121,0.8578863592729484,1.1482259876485357,1.3555584159038032,1.5946063377280588,1.0704684666391635,1.4045125871210427,2.017401769459006,1.6599004174856131,2.0497997524179365,1.9319892142089559,2.1431387360200387,1.7933966965994226,1.186758722814376,1.1588859424587625,1.0786310914080868,1.0450045708840954,1.6783305995694862,1.1138431188339537,0.7817660074813882,0.6570584309547194,0.8579532069456045,0.7859099661421997,0.6711652184013419,0.746484495583854,0.5850563931740114,0.7114808782974354,0.7503852294277445,0.8420337342065425,1.1066040804581039,0.8005248622023717,0.8169507783174662,0.6641828038310333,0.8084213425519321,0.6390458783454274,0.5714045542577384,0.6160853988757021,0.6664082427935518,0.5738342717453802,0.6878911479929665,0.8164980658902584,0.84720450997419,0.742949338534833,0.5496623742719263,0.5382502746047039,0.6067563400621052,0.5681285603922064,0.6014871365884239,0.5235108356571734,0.6476378892302758,0.6112107554561237,0.5091641445535239,0.49778324249351297,0.5450211951435456,0.6128096375872342,0.4722676079236431,0.44995662813601256,0.49566893699589193,0.4534638202764437,0.5281904846120485,0.4668317372244533,0.5150286834735256,0.8377108857023403,0.49305312282267866,0.6351561014962707,0.6545233506540976,0.5380791442859042,0.5738307551729372,0.46208432895166307,0.45156732313365355,0.4237477257410507,0.40998146266110974,0.45842961806114746,0.5213135401870788,0.5907382354551216,0.5828458681595511,0.733563776418958,0.5890667186591884,0.6064222804810094,0.6104050654913168,0.6016047430793731,0.479993812856623,0.4383631815162086,0.40880588832179454,0.5061890179449358,0.5084724321717538,0.4703460709033855,0.5157869854130244,0.5879635681503689,0.6245017546633591,0.6648583746336155,0.5698740484880142,0.576055544106418,0.5231423184545585,0.5980017120482789,0.5135652055927331,0.45907061208323985,0.45475856763729305,0.5122385042891329,0.7191377026575249,0.5536423949930933,0.4810963774319647,0.618656731365697,0.4747527127824473,0.47884443809058286,0.46971850344463395,0.42563231891718634,0.4145890538615692,0.5043024852408584,0.48920228896407897,0.7482672674360468,1.2345230036979067,0.8590498158554395,0.4617329370053923,0.4334509769643642,0.4252518034157272,0.44101739058366074,0.4746350994461744,0.45975384627631943,0.47051190751830824,0.49022111359727466,0.5692637109054707,0.6187526938917113,0.7193073014347658,0.741792915086444,1.034386687745487,0.9363905042799548,0.7297430858115882,0.622199520057813,0.5269794717530061,0.5261251824481185,0.5165708728524836,0.5026408849386111,0.46824803093817463,0.5027735271489385,0.51614764846152,0.5765224073836421,0.5758941584749461,0.6503500891476784,0.4784668927080689,0.5823437177896283,0.7164346011920235,0.6974603438526686,0.8777438034585012,0.9874915796534581,1.2366097988648008,1.828930446305788,1.3786112036183833,1.1927291487495013,1.365141274196612,1.1185022809923149,1.0616758582604464,1.1641372529012326,1.3844976472931954,0.898058921052305,0.8006416687716681,0.74131727146699,0.6199458617692759,0.715537272955391,0.5966296287811104,0.5451476525569334,0.6338980762783939,0.6234345672013117,0.5737061198546103,0.5675323831109386,0.6133888889772531,0.5845606051581947,0.6701843150190732,0.6615231637545876,0.647993441724685,0.7312095623355392,0.9152412431047925,0.8369849441351621,0.8168101146209921,0.8472970746755687,0.8035970989057575,0.6846858518739559,0.7162775582733251,0.924594653461926,1.3136953878757545,1.158899602287404,1.1598886252516003,0.9728251229647649,0.9275246356562512,0.9339323183049757,1.0901491635211011,1.2809204390086073,1.018072189475843,0.9329143326015816,1.230030665611684,1.122193530447462,0.9911716343845943,1.3351449081550963,1.3947938240532967,1.2300201496885521,1.1331591012100304,0.8525892169320876,0.7862373854492838,0.8552842478057866,0.7643373082104646,0.8278874139637205,0.853487790245648,0.9153986712777159,0.871578775726915,0.7819213940439609,0.6759985768591453,0.6962889641294416,0.5924000669883662,0.5904803698704157,0.6631709242557344,0.6162738654733735,0.6217394147309894,0.6280377679242347,0.8489863206736171,0.6690468950522217,0.6753850674042399,0.6490760907157097,0.6854213685421167,0.6964292446057951,0.7861853742907727,0.7595375815683559,0.6802530130905661,0.7807866096946016,0.8490466681220573,0.7878358993638492,0.8080304467001874,1.063321367621387,1.1670663849975602,0.8787415340109789,1.0956621538763243,1.4760669908768318,1.4869055500969333,1.09374155228686,0.8972623291772371,1.6810147435375182,1.5510961150334974,1.0624562930498813,0.8444726262526706,0.6900972609109438,0.7448377220740077,0.8597940724945735,0.7190975445354546,0.6795833849838844,0.6991523343118667,0.7206745383807833,0.5215887823380978,0.5984967431493322,0.4516659049147162,0.4963552120798731,0.4991902891856177,0.5066959482685964,0.7382013570508936,0.5749840347834534,0.5316718906523389,0.6586525753312061,0.65525078496203,0.8055599597182024,0.881914010718471,0.8032839573139811,1.3615970518112228,1.4977688776934048,2.929333082452548],[0.5373792829017594,0.4793565256438218,0.4938778764321422,0.29979884127758666,0.4379392959056454,0.43623050424520043,0.4337040508944396,0.5027102328851996,0.4943234046492406,0.4387461110351956,0.45541798265743927,0.44511394975525004,0.4633424821935445,0.48354145414586586,0.5625775873392747,0.5068262950557298,0.544618608468413,0.5683804544581345,0.6468030385304308,0.5973362833119205,0.7571723797117049,0.8195476080871893,1.0590499128493502,1.1082142254396774,0.874266253781926,0.7230056704147971,0.6508171380500625,0.5346941544385421,0.520712892877513,0.49698772702288674,0.5508527384847709,0.47372871360489155,0.4898672117367165,0.5455530530296997,0.5175357620185097,0.5652773795396601,0.5094953452707092,0.6063544103253931,0.5398885563862394,0.7920436094551664,0.8040308224738434,0.7245923613531063,0.8096582712781846,0.991525773632049,1.2395638782971832,1.4918696844155594,1.7838003901802757,1.2518595059921356,1.548406042224821,2.090681234361884,1.8857207983295736,2.312395222120314,2.180693374275414,2.4794081715255945,1.8638137815638638,1.3389203667019065,1.2557456978776695,1.1764967236802215,1.0952557834780408,1.7581427869419013,1.1947613815005014,0.7875476654180755,0.6964150151606243,0.914569990256302,0.802951034894602,0.7087275367402311,0.7945598474702094,0.6208665092682396,0.7697489698097284,0.8236116820793481,0.9139795035800726,1.2295855103577482,0.883402365791455,0.8895556154576317,0.7137412662498801,0.8297947882340431,0.6653200100997929,0.6103156842865558,0.6367323268775278,0.6796060824970829,0.590640755913723,0.7057297057549218,0.8404650889211465,0.8854345502574962,0.7896301813888432,0.5901533360718587,0.5657720109366369,0.6327965655063181,0.5869202051821062,0.6067661871231512,0.5810823720816767,0.7148018718425492,0.7126190713222313,0.5654123894608519,0.5426168601846934,0.6060950385342022,0.6527579328104627,0.5162558574987617,0.4724538966637769,0.49057404872627225,0.46779711914576144,0.5353906654249948,0.5111542924956093,0.5125906974839815,0.8473225579171526,0.5124639049602986,0.6200866580824,0.6682197958618488,0.5403547247961963,0.548314118108118,0.44264433388395097,0.4571011020171817,0.43434920535634075,0.4108605062718167,0.44631122125091294,0.5022981708860662,0.5565301579291524,0.576521082780179,0.756925292320572,0.6059685888117364,0.648994336454608,0.6438287816265605,0.6201185142293212,0.4995765431330423,0.4606952247408903,0.4202834864823006,0.49032218099408725,0.511627721957225,0.45770020761820507,0.5625752209090743,0.6112919733782853,0.6677016081038455,0.7569082939303012,0.6544669072083998,0.6529153265292885,0.5794896681286726,0.6866214489863457,0.5387922692909953,0.4520071287719082,0.4914256901786215,0.5578670783764965,0.7761847178649508,0.6032575541450592,0.5142765579906281,0.5972402430484771,0.51620947871251,0.5016640444510462,0.4672760388140709,0.4152258801593164,0.44105572062686305,0.4744151663650858,0.4976816060741436,0.7117857309621696,1.2121151944970918,0.9302570515316418,0.46488834794809597,0.45331448707089017,0.42115395128438365,0.4607372211749214,0.48464192085676155,0.5015798918018897,0.5253476363891721,0.5361879855197204,0.6448464516645086,0.7375296292005395,0.7451436823241104,0.8376960918810862,1.0928850281460583,0.9768790655656338,0.7821768525953594,0.7192311269014683,0.5963186842242598,0.6093585087827315,0.5792300525937735,0.5445095249576235,0.5265518308595306,0.5481085488049275,0.5573156293010629,0.6191728387954197,0.6311379897514413,0.6975761127451845,0.5582491035816866,0.7067891673302736,0.8505595365300098,0.7913808052928487,0.9552510214451102,1.0583201576091874,1.361435557560873,1.8183866810352292,1.4410391037576293,1.3486182936289333,1.5290716469435983,1.2714377114615234,1.167282368254268,1.2261481055767596,1.4112959947294188,0.9540419093616431,0.8579186822540253,0.7817230671756089,0.6514554776732628,0.7326078171992156,0.6143244784307533,0.556642249118797,0.634932442478255,0.6205753662931832,0.5798697434694181,0.5576363389116259,0.5902467346928029,0.5799144434332367,0.6568461604049395,0.6333625386020373,0.6182992730623291,0.7279738374123964,0.9027530762397745,0.8069366939734549,0.7809897001489366,0.8192621062496789,0.7652597260524662,0.653769703065438,0.689161043926864,0.8902901914974934,1.269812619889735,1.1561227775371368,1.1720674762289496,0.9737993827987614,0.9258978079575769,0.9318092236313323,1.0996994756236997,1.2498252871513893,1.0207215943616064,0.9492884132754323,1.2568065911706792,1.134210761610771,1.0136550401175368,1.3534015322892683,1.41724023751241,1.2551675860743257,1.1454623411303149,0.8766459330122364,0.8372995683243724,0.8824564112026895,0.7670730315955023,0.8508289178232291,0.8564146503689986,0.9367131560064978,0.8676892491928325,0.7899278221660726,0.7018077058096693,0.7295867085059504,0.605690628513987,0.5957210360221131,0.6780944563194672,0.614442038768911,0.625165144733827,0.6347527593040785,0.8593608257176502,0.6580667676009951,0.6572310887419687,0.6385785043417932,0.6707090573260863,0.6928272187785933,0.7715392399873787,0.7379469764652806,0.6610615511989804,0.7737871584943106,0.8352826404732777,0.7717111929043909,0.8079209335708981,1.0582114713546884,1.1631381223417319,0.8794856823425408,1.0874122867203735,1.4977700845549695,1.5065766605534,1.10839497822647,0.8893024518630579,1.679992166391132,1.5113436980230772,1.0092643068719744,0.8164971023280546,0.6626825287151004,0.7163562577033417,0.8303700232368507,0.6961116114786028,0.6975870736415577,0.7439584312932935,0.7259556535904078,0.5227547582294607,0.6235851380273139,0.426604937519062,0.480596655643391,0.4764144537715507,0.4621435415558382,0.9321786968914537,0.6271338055579294,0.5683274496003173,0.7812819425361545,0.7061648894829795,0.7931589636676734,0.8297799232157985,0.7901623885177758,1.3492214466742818,1.510348532617871,3.022734687853101],[0.5966382507540005,0.5440812523430355,0.5639738557664935,0.3859464341008128,0.5336066028749882,0.4999106376270594,0.47582425757040125,0.5420836467644726,0.5003170718895074,0.4348626975652076,0.4511049505610428,0.4647076711624653,0.4644844511651291,0.4700293067752876,0.5488464443144331,0.4915653816008036,0.5411333981307316,0.5539275182866401,0.6253985963217271,0.5920290489686951,0.7239401710021879,0.8090190084809009,0.9903040454660883,1.0608354160079378,0.8652624309675364,0.7163868409576805,0.6669143355625367,0.5361117301458809,0.5212592034008521,0.482749798953518,0.5243698439022498,0.4695428615747519,0.4860329591679996,0.5288532387062008,0.5112982031854814,0.5449370676995885,0.5034268365220917,0.5855971470968163,0.508027873934305,0.7113542562150224,0.7851491847556353,0.7398654113825097,0.7616767450885573,0.844021878624347,1.132196203933938,1.3501796415086433,1.5619319462386443,1.048160865098049,1.4271523050578085,1.9749141784069384,1.6191855056851885,2.0798466716547215,1.9501783306609952,2.2111105852588313,1.7752735186052457,1.174906362202168,1.1639264200480106,1.0616162381777807,1.0192667687935442,1.678073263112089,1.103955734457511,0.7601420259196229,0.6502509060278369,0.8437782692271811,0.7740604703112659,0.6647018364913899,0.7642984540231339,0.6042427210082314,0.7341968008868145,0.7812878250515635,0.8824769827065395,1.1493387963375916,0.8304609843233711,0.8433467286591535,0.6877663243744837,0.8026575230260247,0.6416222946120871,0.5773818845529273,0.6129110213557003,0.6506460606066938,0.5657576576378417,0.6744456298815179,0.8105716535393306,0.8299643206531707,0.7411470317823907,0.5474045551451453,0.5347487087114922,0.62152391638416,0.56714371786241,0.6055118406065456,0.546138475799205,0.6649587778286931,0.6384387515695084,0.5406227034542092,0.5303879028997615,0.5738926076045165,0.6367875501778483,0.5025825058195789,0.4708882315336515,0.49005076293789485,0.46502223956613614,0.5437929698939042,0.4992534930189378,0.5241583499238254,0.8461746715820347,0.51635877059628,0.6322836890564844,0.6741503611430997,0.5750915073143302,0.576037725638624,0.4969670164395437,0.48447727361185394,0.4589609382774175,0.42647892043370206,0.46551778464417887,0.5410070781007513,0.6014876133574252,0.617094346087247,0.766566739722144,0.6280308613424604,0.6505069310270728,0.651568953542827,0.6547527971199674,0.5141418190917284,0.4899674153837961,0.45409963573482387,0.5413317120009329,0.5456584028388901,0.4925724347788308,0.5705652788789979,0.6254483358062469,0.660392922646318,0.7257982336275927,0.6218663483374127,0.6222848754602339,0.5636755926898944,0.7047120880988903,0.5274396061270991,0.4453980294617961,0.4489098788958909,0.5187921052256034,0.6947267797784351,0.5548081170476894,0.4805396086058041,0.5957017597664271,0.4800766203252572,0.48240979887654895,0.45841915312904197,0.4175148631418187,0.444783691819523,0.5077638484326393,0.5232506877042021,0.740538376034239,1.1787051956731873,0.8623363301202743,0.4818974839199467,0.45708766806808104,0.44217823285276003,0.46082036360360534,0.48328849739593294,0.47525831566932214,0.48179442673378947,0.48514531029273056,0.5748051214866465,0.6182316661851219,0.6773263502588933,0.7440016082289499,0.9992892901825339,0.9395126028362033,0.7573924258916959,0.6711462217769709,0.5388988327472135,0.5381898241056855,0.525339492909115,0.5042071500494116,0.490790065461672,0.5160759290991791,0.5186301633778795,0.5797028258987068,0.583158895349373,0.6382701652657918,0.5248447192273529,0.6346204694874542,0.7606605327227116,0.7139372286480161,0.8736245922319577,0.9842657453996486,1.2407014026260799,1.801927215576827,1.3365727819176187,1.173071415980241,1.456607732652261,1.1852665486610114,1.1029810365885433,1.1468834241447283,1.3324448323389624,0.9015825073966478,0.8512678653291951,0.8087698551160063,0.696037135185914,0.7689785173745846,0.6851527716449206,0.6412757690847927,0.7169865334480466,0.7082970592116947,0.6820393930883974,0.6675993967487811,0.6916735885608484,0.6864885621747592,0.7356537602799007,0.7295551950049486,0.711963297908398,0.7824821020263408,0.9277220988800826,0.8448239035112934,0.8496736135743885,0.8612578521947505,0.8161478463712704,0.7218671716815559,0.7470533252616625,0.8539750440397419,1.2312316231251321,1.1396296621436783,1.218754752532877,1.0044574885153748,0.9157531709571203,0.9202181461245273,1.0538002085859839,1.1466320756058386,1.0044823696427179,0.9117131759235986,1.155561706663687,1.0643749827476654,0.9676649873058304,1.2474073408052582,1.289129422127545,1.1835144939692412,1.0889060158942188,0.8773242108751045,0.8481557986347938,0.863459756870245,0.7793336200018063,0.8695639768336235,0.8727214590668235,0.961944623460122,0.8855432723353499,0.8367995873409457,0.7769571505139206,0.8000134731202105,0.6995779767549707,0.6938469353915094,0.7504672476573361,0.6988110619747318,0.7222029276289816,0.7206283412760388,0.9120831565155975,0.7330560519724029,0.7411896001912395,0.7303366809032167,0.7615354695026338,0.7707895175178372,0.8157148029901845,0.7948362934495414,0.7396196797522391,0.805755611176828,0.846498348024782,0.8133827369108919,0.8453723985440019,1.0221463867397205,1.126373988230589,0.9023013551120308,1.0391909837636926,1.4046456489486272,1.4542931962211507,1.0993821183702075,0.945595475796818,1.66646184816916,1.6099080908807861,1.0355404469209202,0.8717603087276131,0.773145209253805,0.83100664068334,0.9095847897441329,0.7969175624722996,0.7671663145810358,0.8477681533400846,0.8108553448393245,0.621711259466437,0.6941210014228251,0.49594733953819686,0.5465210078420855,0.5413454366968139,0.5274601901262606,0.9567360019383307,0.6710649389340622,0.6110713731229082,0.8165810276274753,0.7545973627290459,0.8626906633271363,0.8450210626672258,0.8289772987289562,1.4595391790898753,1.7524501504502725,3.3688623843221372],[0.7220218453057856,0.6090895590398481,0.6486044549821515,0.4334977030083783,0.6025636164336611,0.5785669807133905,0.5328221598718708,0.6015538854689698,0.533737830506406,0.4710328309183278,0.4904260825747644,0.5133509040989225,0.5208250980209248,0.5037456026728635,0.5800890653999027,0.5442978474105641,0.5964546300678686,0.6149405394965862,0.6961584347228513,0.6751722984128791,0.7980757356028493,0.8694144844287046,1.0563101479994226,1.149334008823081,0.9358366202530467,0.7939920791575881,0.7448024997065182,0.6265067207151833,0.6056346191931203,0.5556871796117592,0.5832941996054274,0.5414095428030088,0.554730833781979,0.6015619889056554,0.5949633565602133,0.6206349982104001,0.5896287017578137,0.6586903789716309,0.5993486379263309,0.7929969332802875,0.8512219978657694,0.8191408875273349,0.8293286619742276,0.8952753218846908,1.2043021680702766,1.4271000717909879,1.6482787736832003,1.1125889751535685,1.4378178442933074,2.071941579199264,1.7017530665485872,2.0871661628310094,1.9670563301973143,2.1891695729502723,1.8453358386120817,1.2156324849499622,1.1573033513493372,1.1120134101299086,1.0719934253661743,1.7253535093117904,1.1171543986548071,0.8196236333360519,0.7195134120650801,0.9070083336293815,0.8501174665025204,0.7280642798362198,0.8345565899768533,0.6784967274740844,0.7926442362618559,0.8165329858244417,0.9243833468115554,1.182944990781544,0.8629258855005766,0.8966299535831506,0.7415361841856379,0.8347755725172447,0.7220140201563896,0.6585082569958116,0.6975410792125494,0.7383201814676741,0.666206197561392,0.7597422929229625,0.84217104532604,0.9357238247161299,0.8022497870486435,0.6187267668473381,0.6219802226587707,0.7079747764801129,0.6528169819117695,0.6804873522707532,0.6193167361131757,0.7162803592717258,0.6745044559408192,0.5879768798118025,0.5782002298001974,0.5977610892692962,0.6620419567966962,0.5536576070384007,0.5257309417437279,0.5483505145695068,0.5496000129700904,0.6097339319034428,0.5834478921275152,0.6069569720464908,0.9230296135817317,0.6035439035246872,0.7318000145143949,0.7588818650866463,0.6614107234257606,0.6412802025408535,0.578868286199326,0.5627463083448448,0.5260339695959834,0.5027441525238767,0.5359798265221325,0.6177085441421916,0.6809246697654937,0.7068861586454726,0.8404541138356474,0.7021501549970519,0.704410730626298,0.6916266307309884,0.6971670301730448,0.5616561456791489,0.5407920397608161,0.5210569476446775,0.6065101078173706,0.6146394767974886,0.5752966359096546,0.6199265508792653,0.6937335198420886,0.7398303701224228,0.7713898232212035,0.6849874540837679,0.671070335175513,0.594465910384727,0.7099136446896553,0.5614761862144529,0.530892832028032,0.536833567029587,0.6551568971720374,0.8316598729788518,0.6639111714337189,0.5860703077120719,0.6841645469778603,0.5714928605089501,0.5738487170367117,0.5356927679002241,0.5075858055908835,0.5105068089834944,0.5882583849114745,0.5866510054968525,0.815017383001043,1.1929921609088603,0.8100067946423862,0.5421249308883844,0.5177444712997396,0.5232284174179215,0.5422750206243416,0.5675431583087704,0.5559067401888849,0.5694183885885502,0.5782539151142938,0.6588764085231585,0.6933095432050514,0.7820590688754309,0.7853426754281011,1.0444161929661222,0.9465207956637539,0.7495969851689771,0.6794993273418343,0.601737528012683,0.609872071829501,0.6049960396797425,0.5940101375383706,0.5685644712003184,0.5912683682357139,0.586977297138021,0.6649365176234746,0.688250657393772,0.7292285254058896,0.600939159500062,0.695985081919287,0.7951079775775152,0.7632703067315629,0.9294429628802167,1.0255676957794104,1.2599250607774208,1.8319453770471694,1.3794205902804415,1.1906995450397617,1.3999319657386209,1.1735728959931402,1.124152916156692,1.2176053853635591,1.4118256516085366,0.9849125849309763,0.9185184740811031,0.8841512892244714,0.7637395853072598,0.8588147786162516,0.7641942316935872,0.7081189162138647,0.7933349978972478,0.7906441954514088,0.7378425920119706,0.7246279877132225,0.7586381609964087,0.7439696742701087,0.7747400584974119,0.7803819623282374,0.7639786376614193,0.8027760261579724,0.9488715053430961,0.8871505820625318,0.9067176899319893,0.9021729615441201,0.8992421904405311,0.7958371989945894,0.8258211264126014,0.9474743527294103,1.278961184298532,1.2101312211190047,1.234272190939038,1.0667835270277404,1.0253803673653905,1.0330560277932646,1.1764554748794915,1.2839080839121253,1.1132186435897127,1.0241343177609394,1.2732993916845385,1.1642586750206332,1.0763019157151201,1.378206026570278,1.3930971195913469,1.2706647950672412,1.163459389622185,0.9679907835311786,0.9171958562739836,0.9656653676881223,0.8874186236584607,0.9574730966316839,0.9658608101699854,1.0392332612690014,0.9797201201393169,0.9132836463721237,0.8364371400462279,0.8472621335373232,0.762288415064867,0.7416196754782202,0.7599487915259301,0.7295066281331921,0.7715359057941744,0.7449002615492639,0.922269094225217,0.7731986098530677,0.7936617770938373,0.7904435393517307,0.8450333742599644,0.8636723028020067,0.904658968781734,0.8900042344890902,0.8258754099380424,0.9093402041957779,0.9461865268219005,0.8989634053773357,0.9236442952968204,1.123911732967296,1.1941179255607381,0.9665906796340279,1.118394969527106,1.5058392360879451,1.5395820741358506,1.1609199861743569,1.03079701356947,1.7535611107676605,1.6856051058457513,1.147670219309733,0.9207829981024247,0.8326901706043194,0.8765422314015037,0.9485719348166932,0.8537011512391672,0.7788572124086133,0.824673841132779,0.8653424890749098,0.6840795432044888,0.7571001579234938,0.5835805833655608,0.6052417985924943,0.6172600014480816,0.6275909121386798,0.8505509007371285,0.6750517094726591,0.6252781443028009,0.7620200767893643,0.7575595771432327,0.8930895641908982,0.8912077995737576,0.8762542572469251,1.4837205999009402,1.8085713064738476,3.4341921868820897],[0.6759480086901666,0.5711702669560156,0.6170744922927052,0.3875972921063857,0.5812713007972515,0.5379292553684618,0.5123032207728695,0.5957498604721073,0.5175392659273578,0.4645891995730929,0.4816928341461883,0.4836619336564928,0.5262586963574192,0.5098528776501814,0.6035262058614923,0.5563842064582988,0.5938106541070372,0.6183620658528023,0.7252155205077466,0.6793493006795466,0.8284070468584438,0.8773440154372085,1.105136876634396,1.1929719929268436,0.9433355914617824,0.800688061291517,0.7267341836287071,0.614617903954619,0.5973692421563072,0.5561421408481048,0.5948231303991779,0.5360730109568593,0.5404825081599759,0.6082882477525271,0.5896798851570606,0.6256193040734443,0.5775680821567349,0.6618714686596202,0.6044987807766568,0.8533214907170484,0.8441738670658087,0.7899860145801954,0.8421357677423814,0.9750058271537042,1.2083955017641668,1.4247805896171477,1.7383389559700642,1.2244220689937257,1.5168309054284423,2.132185140899114,1.9296767436497964,2.3188403984198542,2.1929128579415362,2.4787593932291974,1.9713902576900681,1.3648645185533306,1.2199029429462207,1.2226516345915326,1.1342563958740353,1.7852685890005042,1.1670983025419288,0.831826527937402,0.7584325761631631,0.9795824383516752,0.8782442744685192,0.7515535073329798,0.8781318241787511,0.6983149307316966,0.8264682945925903,0.8683438580530294,0.9959287476389777,1.2957893189844858,0.9302981607681715,0.9492487416162001,0.7724222146674168,0.8530514861608359,0.7381181187538409,0.6810345532108156,0.7196016014002543,0.7578570347923068,0.674862530319801,0.7780193771454321,0.8405069660968506,1.0030883525417487,0.8421247150634934,0.6523031408482184,0.6303503196671875,0.7106831768280252,0.6639242608121525,0.6878356095508235,0.6429438882490107,0.7402118018800606,0.7272671998000588,0.6058710297280543,0.5863673972943536,0.6289719897814527,0.6861322424132458,0.5592828270541303,0.5197355447540355,0.5357698603514642,0.5474763446609087,0.622259019162513,0.6178664413166026,0.6456440238764628,0.9814217768779452,0.6589933869770643,0.8034764415960389,0.8521068184819831,0.7370627357229049,0.6831972741361514,0.6108146288927371,0.5916397464389973,0.533435310590186,0.5093630907112829,0.5138497246324929,0.5855509481612703,0.638755038393138,0.6901486134921274,0.8561668939599392,0.69486402036821,0.7152900470736513,0.6974818079474625,0.7007888043685746,0.5574183037599189,0.5252730435430459,0.5327973502581241,0.6062466059394689,0.644786711038046,0.6308583644439613,0.7138612252546482,0.7898066522330546,0.8689057110808139,0.9210805873833267,0.8210409199830735,0.7890835117269587,0.6611342188361493,0.7882588400574847,0.5833885335977389,0.5056338238514677,0.5267554917362233,0.623005605984591,0.8317007730769501,0.6694837936257528,0.5827398135950953,0.6708437150158031,0.586151452937252,0.5744455345721885,0.5361332165484342,0.5222414117795812,0.5159833765353082,0.5870333162822626,0.5791901817664941,0.7994388120059776,1.163195033408311,0.8396375350725818,0.5402761439875301,0.519644487185486,0.537042301783289,0.5538193780261981,0.5991014537881791,0.600906061753036,0.596499720177165,0.5950027770320993,0.701140773355342,0.7968385382364269,0.7854273742657879,0.906058497625296,1.1500964035627703,1.0330389962464748,0.81020866245774,0.7896184449001693,0.6608730621471516,0.6945710499879858,0.6761925930260062,0.6459822402394685,0.6323833216428989,0.6309484267740868,0.6484498815453104,0.7205123827428742,0.7679048387023841,0.7954021063472528,0.6915088929197523,0.8410695047877457,0.9523980059029774,0.8827897202362391,1.0160308245392378,1.0825270671488498,1.358656304382405,1.8351656621815857,1.480369178288845,1.3992716042885456,1.5288237978331136,1.3491734869441188,1.291200779495121,1.3871600880894834,1.5452977642728873,1.1215326180122236,1.0362803431997045,0.9720955923690141,0.8391796900124976,0.9334217338672942,0.8292945722510923,0.7547842649980234,0.8316913571720609,0.8337829335586442,0.7551327303208528,0.7212607365310614,0.766904695708418,0.7550573706015674,0.7604189542426992,0.7612815740652488,0.7503747092014226,0.7862500900721532,0.9272111890010276,0.8647148238692797,0.8813177917184472,0.8954221364386623,0.8962382589003567,0.8030349593557083,0.8414088379822274,0.9944616399363024,1.3187793837180362,1.2569363161028615,1.2694011535272853,1.1344424824636552,1.1312635606621515,1.1330526743972544,1.3017269078598046,1.4005181076582418,1.2057650819519323,1.1473462990497987,1.416400541739338,1.2743130417542905,1.1929738662955849,1.5273869326799792,1.525013087612629,1.3650972721087888,1.2631350005311073,1.0592885734891082,1.0310302859259584,1.0874444123607097,0.9841456784638606,1.061677691566036,1.05664614563166,1.112783903451253,1.0451793138825753,0.9758680629845154,0.901364522065484,0.8992048443691141,0.8068547217569112,0.7769573052188599,0.775550305906522,0.7387653063386993,0.7912464133143704,0.7538834202560203,0.9175827294046132,0.7700860144589856,0.8019727085173056,0.8061603562574557,0.8832103201460826,0.9155948998091754,0.9734783639073178,0.9375335325856011,0.8607935263699031,0.9759750481635096,1.0068003870126347,0.9396197856776353,0.9747732257507348,1.2037676047063515,1.242045102939697,0.9958015759543924,1.1786421702916863,1.5910136830048773,1.5976390755877148,1.1906045164347492,1.040178215099243,1.7908346338554813,1.6482400233711427,1.155138429457665,0.8965052048965926,0.8091802965217632,0.8431468942849264,0.915926868366451,0.8242846975138719,0.7537630257854562,0.8084998187900607,0.8819827162956974,0.6949151864947275,0.8061099204170148,0.6132947131166849,0.6143128108003555,0.6388545203897624,0.6435303907528432,0.9054496664662244,0.6885972596148463,0.6293288781311712,0.7793542913520496,0.761290211981552,0.8762957051370364,0.869086038524767,0.8446374435500263,1.4841199803233338,1.8130740367940081,3.4725885866708492],[0.6277204726655639,0.5841119007975996,0.6387850784312881,0.4571496124199433,0.6640274300564193,0.588430947893312,0.574686373073086,0.649351148561613,0.5757563455540193,0.5261784373807659,0.5401220912691578,0.5298908095687338,0.575512909665897,0.5593591164532293,0.6450083235091711,0.5896951295019979,0.6157655846300839,0.6242565355855744,0.7179809167382567,0.6651669286790662,0.805958973677572,0.8619935911400822,1.0760247405820011,1.1510978154494482,0.9206518637614886,0.7790810287998654,0.7178018935060736,0.6063809893322607,0.5979643885166867,0.5785058418439533,0.6096581081026633,0.5577308130677461,0.5573050645925595,0.6176722179647962,0.5934911484695684,0.6267156700207002,0.5863347277993035,0.6743077076577764,0.6039044506849981,0.8461000888889436,0.845973618661759,0.7830760032961982,0.846262012519469,0.9833635826868437,1.2178455946138966,1.4544036615190652,1.7156738703927379,1.2240029285533969,1.5437961432270986,2.0947315495453265,1.8707095669316758,2.3185600341394546,2.1897775911923083,2.5252936055243898,1.9388860092885514,1.3456564202369028,1.2335478248999088,1.219417366633655,1.11933380021619,1.7591669696728345,1.1639815014780306,0.8125346772460462,0.7456489151009964,0.9508657839052329,0.8535963074908132,0.7370122489516879,0.8593522885783105,0.6896722330468211,0.8219146670361748,0.8793262997213035,0.9980443374690637,1.2998362621960067,0.935454628583309,0.9428938885020866,0.7701832598189575,0.8553051779119214,0.724708748631415,0.6727658850700055,0.7090271100747428,0.7424222707477242,0.6632859523321766,0.7697103393816407,0.8485387270653784,0.9628700003264629,0.8442216863862627,0.6700959329917049,0.6296990384150438,0.7053163358769551,0.6600675703977902,0.6910942017029977,0.6436190211181766,0.7492427471374616,0.7425444537656415,0.6305871201364041,0.6134523457881048,0.6662825990807275,0.7291912514790202,0.6011870167065645,0.5707904818591658,0.5835847506272993,0.5762312664057838,0.6596891788188459,0.6493763844356901,0.6725566126107927,0.998249934216253,0.701835665266509,0.8360788639172732,0.887206681896115,0.7981064717187882,0.7371214028662422,0.6848504264864052,0.6644866695759895,0.5959255436157691,0.5640066412736888,0.5407355281811853,0.6022608005026601,0.6390441895484038,0.6918129924526715,0.8549558639998225,0.7026190208347854,0.734893709177313,0.7218737389940341,0.7265242736097836,0.596391939870706,0.5794550965710658,0.6233981414118768,0.6820501347075824,0.7254987003285585,0.7081702506552758,0.7872232457479628,0.8552845621747053,0.9132248209508005,0.9848452368772687,0.879845013587389,0.8675395503565653,0.7520013466786584,0.89677498783109,0.676996702756576,0.5443921709438945,0.5768059753600724,0.6066119004830862,0.7780052817392027,0.6466527229532666,0.5844176543222693,0.671321827572525,0.5957901633232071,0.5932334484552938,0.5622926103731879,0.5579532390925619,0.5748217090006495,0.6433485939234916,0.6191368721250269,0.8017467337445741,1.1443377201439542,0.9085130340657257,0.5968739892163459,0.5805711308993791,0.5857111584596633,0.5911104873288269,0.648271480763051,0.6479508927446089,0.6260838131707798,0.6199124610461717,0.7155479555724958,0.8280779396416885,0.8069320612271281,0.9512654410928666,1.1539568324422937,1.103001724255252,0.9356208967148885,0.9019646115173497,0.7376922953491677,0.7482020781643974,0.7187334792028715,0.6740127245978725,0.6748646709570771,0.6638674221427062,0.6823180371763117,0.7355529313485182,0.7756770533148285,0.8035657426531871,0.7484999512690942,0.9077585353503522,1.0122647578988562,0.9255347580021823,1.0248492020539401,1.097144336889913,1.3642197177558149,1.8025675589081531,1.4514514066382849,1.386071077524129,1.6515350363618355,1.4177188159280474,1.336016800386109,1.370847878622757,1.4979951596148267,1.1227770469526224,1.0755775439860065,1.0031586140170314,0.8988179144400484,0.9558312614346833,0.8837877180782875,0.8318031177482537,0.880206971334251,0.8765319070018958,0.8343713540997951,0.7945380825374277,0.8227926655155384,0.8239489642234269,0.8271166265810349,0.8174056234772151,0.8057200594935806,0.8523945786845254,0.9551801726231363,0.8903214793608497,0.9052951880662132,0.9218297093349048,0.8960905904695111,0.822446185012282,0.8444567749988228,0.9613777939722777,1.2838351687789606,1.248807443706704,1.3258106749798337,1.1555734060018716,1.098846781768206,1.0992727732297725,1.2609967758195006,1.288084101252252,1.1622443599377674,1.1076590647038862,1.3338777075696917,1.2097364308619958,1.150009663873838,1.4260599446784683,1.4262574340454213,1.3182373798191096,1.2210947948730781,1.045823241828797,1.0595377965619688,1.0706891140439323,0.9731535029258906,1.0577774637213027,1.054721342662128,1.121468918527519,1.047000658150597,1.0193723868991786,0.9668568327650261,0.9710092250234302,0.8760002022577045,0.85966183428298,0.8774989984445155,0.8252659568209485,0.8602629733798978,0.8404067139932003,0.9974154548571013,0.8365323847961853,0.8572170305173389,0.8510252561271721,0.9199757338509397,0.9427529670891212,0.9771161561952282,0.9336723104004965,0.8857357756288932,0.9668474479744248,0.9821702270269758,0.9370890581194351,0.9798452942744756,1.1404793912640834,1.193998330803652,0.9886916940570936,1.132203293312754,1.5183173005683739,1.5524888613573544,1.181003629307617,1.0344209580202548,1.7382943581646142,1.6586571599076896,1.106738279281119,0.9134638579922473,0.8558114802049928,0.8982777296893885,0.9423545747919383,0.858662814737413,0.815817983472185,0.9097968267020644,0.9297489657699708,0.7827631351930568,0.8768140449100359,0.6907345863477573,0.693609264211041,0.7096095152720586,0.6967559691471352,1.1161932241797927,0.7999914936090803,0.7381780127204268,0.9323334681456129,0.8615661795688412,0.9367635503429591,0.9024655894310976,0.8886299736592475,1.571686447616448,1.9817043619200232,3.6716687774686814],[0.7977640274579674,0.7261530002403659,0.767762854928986,0.5742275513116394,0.770464439740392,0.7093921630400064,0.6705987613804052,0.7248628266172872,0.6669889846113672,0.6223514270934131,0.6464874455571327,0.6491871081916288,0.6630597025379197,0.6769963318862258,0.7462383618231185,0.6930956900476071,0.7473903780874925,0.7758770312490185,0.872024759865459,0.8064334836321083,0.9203911153907541,0.9515711704838407,1.1255007584042527,1.2324709501909663,1.01043548948195,0.9252769162852955,0.8556377282675768,0.7629964846944307,0.7384256050799954,0.6572873907047877,0.7309933290495583,0.6436235002354684,0.6619628462975433,0.7170747016543102,0.6938962825753883,0.7277558806906749,0.6586330856408456,0.7201171490093288,0.6596383436130389,0.8198006578006491,0.8893112029798523,0.8729364551906305,0.853577591856324,0.9478148839168619,1.2807141829306272,1.5181230175291769,1.6923524205735518,1.1553432819089258,1.4831247183322513,2.0776209480846637,1.6867911770566557,2.0909066356282455,1.9863023847585182,2.242183887008193,1.860396722934388,1.2313738004353938,1.2002906665870683,1.1221294378587452,1.0824565216995934,1.7668169425151092,1.203062717305944,0.9175936114415857,0.8099631160067139,0.9912552229533265,0.9447373143850181,0.8211209811844667,0.9659675943691792,0.8340130896499062,0.9532375997014283,0.9626149626571718,1.0548327939291013,1.2840332526636782,1.0032761420722998,1.0495990630064984,0.8798176500763704,0.9327481488376714,0.8389832064851979,0.7795985413759833,0.7942922070015641,0.8166782191609422,0.7067352629085367,0.7744746005496785,0.8670189445795737,0.9810054204942967,0.8343016899725555,0.6567945846755613,0.6652024718198839,0.7559831816889795,0.7512349623711084,0.7723294538418081,0.753594209310747,0.8438987182601037,0.8110308476592024,0.7319745004494931,0.7256564258681243,0.7499338289055592,0.7813445856747078,0.6696530768246746,0.6556279011033097,0.6706502078122447,0.6319508247664715,0.690672360742982,0.66754445772918,0.6929292349143263,0.9822647805081964,0.720467525368072,0.8739714361250164,0.9066157110096789,0.8434701886894865,0.7652921385025337,0.7421589060878953,0.6930796312039259,0.6525561093583913,0.6203379770096751,0.6610511629292886,0.7354550297997049,0.7962087408820548,0.8975632695931807,1.021679839962822,0.8751189035811284,0.8742245705451483,0.8264072989819192,0.8398683657135025,0.7069199258102433,0.686080077195219,0.6733557545970525,0.7503313704276778,0.7678972457497831,0.7487916083689615,0.7737116125401419,0.8925545852946145,0.9360736267986485,0.9466810734550561,0.8297019630302215,0.8129228756756082,0.6967901271936489,0.8933534409590042,0.617525501316105,0.610268864109904,0.6245811522798853,0.8964907465022515,1.0189838934442126,0.8471831215691692,0.7215727167039199,0.7540680619617737,0.673393344067524,0.670911100861959,0.6330464105347556,0.6137152814339344,0.6350271623249497,0.7128372225074703,0.6960005481229506,0.8797120915121481,1.1818684999149307,0.8553283296303239,0.6531687556793919,0.6332936378921253,0.636757911862379,0.6368881703785597,0.6535067635151801,0.6341708686207149,0.6299966185724387,0.6365355420160319,0.69295083848373,0.7256185672468461,0.7870894194690808,0.83310947822584,1.0706702860930766,1.039605876260783,0.8131152443439835,0.7900069843094738,0.6508458395938831,0.6564030295273817,0.6507946992525636,0.639195923973011,0.6297294322308925,0.6535837684044404,0.644059338907984,0.7049552918473407,0.7386437626578816,0.7589495895490288,0.6818644336664462,0.784087398673154,0.8803906359901048,0.8233674043091038,0.9466961887759981,1.0361892459352176,1.2742558670841524,1.8351376611077856,1.3783367432594489,1.1881364695141097,1.4828822411775007,1.296487469062348,1.274185568228668,1.3818219899250317,1.5396171936606573,1.1723964226879158,1.134165780387653,1.1055022015656062,0.985758282615157,1.0587715503483106,0.9789902433352233,0.9198426415283689,1.001481902493633,0.9976277490727219,0.9370323847755404,0.9157364680690722,0.9626720951039462,0.9438672199152762,0.9283774010344973,0.9443026040672254,0.9377995907633402,0.935570260497843,1.0323816870336078,1.0037737521293697,1.0271366993359148,1.0505481138548594,1.0573209102130654,0.979590594263294,0.9984696997400179,1.1078675555312218,1.364983263281715,1.406729867042957,1.4434335941067058,1.2915102153057667,1.2121749589197484,1.197749914089801,1.3391410097482066,1.3513764277589324,1.2513072955563402,1.2051510089280713,1.3942919884572844,1.2813575516595357,1.232653188906282,1.475324920651974,1.4756239059003686,1.4098010683748183,1.294457930289002,1.145321743662394,1.141872039070321,1.1574851107151878,1.075514683834924,1.1461115479275354,1.1437405776086116,1.1824585503059264,1.1197459952704012,1.1069394650255333,1.0507515527766493,1.0393411705049018,0.970569065837323,0.9463664102762233,0.9301888857648904,0.9018035185627072,0.9643370663843303,0.9209224915524502,1.0433501538096839,0.9371900920329314,0.9758715619561528,0.9840212601908699,1.0514918740751495,1.0684020852081582,1.1157509014883524,1.0754587322050644,1.026759658113227,1.0975604766618872,1.1230910259180247,1.084072181893937,1.1196151603453508,1.2633056118481376,1.305719547756702,1.1263913978419686,1.2527292785745212,1.6315836043618195,1.6641751218189103,1.3245762462030317,1.203804676478005,1.8021354110619725,1.7761916011769523,1.2601825289261284,1.0306059606059468,1.0077635011292336,1.030941353637311,1.0461331382447936,0.9884309043251571,0.9467613193173606,1.0314704455815773,1.067527934499101,0.8936011886917852,0.9705177106142432,0.773430972221889,0.7773825876238513,0.7848435972015254,0.7858625540810312,1.0511109416850963,0.835909688066802,0.7930308359118854,0.9250388402205535,0.9031938096040262,1.0130166260128894,0.9622495159887099,0.966713046293673,1.6670047408138655,2.1531571824318387,3.8837989271563025],[0.8772626625431146,0.7930228133962635,0.8614974460325172,0.6391303656986678,0.8433116514786985,0.768758901433706,0.7204432743469906,0.7984298828595168,0.700418314994172,0.6208607591668495,0.6347509872612165,0.6603793684465192,0.6795580186196889,0.6364717451072701,0.7250326891905117,0.7068123490369561,0.7389852858947131,0.7624548810682494,0.8744533731174975,0.8427471500380183,0.962280236336899,0.9949004063364716,1.209726160539116,1.333565773705107,1.0744960649727477,0.9529238583958302,0.8942730438312999,0.7794084744517356,0.7533862706063394,0.7097838116517768,0.7418927589892589,0.7073178304106711,0.7260346835248244,0.7701676671403168,0.7598311983201405,0.7819224771772068,0.7325970368347322,0.7838265564710121,0.7490797501808081,0.9626437658791008,0.9746823017215426,0.9358428340639556,0.947971250968628,1.0321981266473197,1.3787216230650015,1.5811492389214672,1.8483891328525912,1.2730493052953298,1.4682929174231398,2.159362466794703,1.9064774968347218,2.2215141069340616,2.1507688067012576,2.4076804964994207,2.0551930446130244,1.4185539356636332,1.276568511757959,1.2673626309063346,1.2044637907043982,1.8603781729436204,1.2331247664681249,0.9844973522508739,0.8851046049605079,1.0723352850788126,1.0065100451554891,0.886751628730811,1.0076622999918095,0.8501183193390885,0.9431841395414079,0.9552349937174676,1.073585953537082,1.3264202300610095,0.9964782939208666,1.0566289867132281,0.8944226284069445,0.9748430226637219,0.8885921868398826,0.8292559784268119,0.8639933180353877,0.9019120886746166,0.8229529426210731,0.9008900401256364,0.9637385252286227,1.1668693189545987,0.9579759100583286,0.7785796631531948,0.763864660051335,0.8531324478626293,0.8185746235977727,0.8362743376764287,0.795420857133555,0.8639115858317911,0.8173884801084901,0.7468693759840277,0.7300980848422497,0.7447142453524191,0.7799733206073654,0.6995017121669188,0.7076375327640925,0.7602967246150906,0.7449144386778244,0.8475195469276267,0.8185279343168377,0.8677956781353675,1.1662421256589655,0.8920604402832366,1.0749905723006863,1.0994086091818152,1.0414546263356168,0.9663745971042381,0.8994281977994791,0.8309360456716557,0.7476271518370708,0.7103071478429729,0.6808193135976335,0.7382328293668323,0.7923317091620479,0.874079187795451,1.0194321717438037,0.8575394683590624,0.8510219183640304,0.80361695659917,0.8023214643212211,0.6722732877265913,0.6716900220013005,0.7165804965031252,0.8251143696638988,0.8886279728365841,0.9137547928033039,0.9557748233435982,1.0536926127684254,1.1245440332576835,1.1128869473293064,1.0306652813218156,0.9909205989683085,0.8518538498624817,0.9888830417218364,0.730130897357717,0.6818250107961296,0.6865603039512086,0.8866030234739901,1.069389855995476,0.8572030099778484,0.7490805881583754,0.8110071796072149,0.7370900038714068,0.7323204934626605,0.7117192086557446,0.7486164785270154,0.7231929841974869,0.8407423094699514,0.794331431287212,0.983748347349682,1.2577134445364562,0.8967218557681534,0.7638802055606448,0.7292458620515956,0.7839021667284283,0.7549146031811081,0.8208905197505499,0.787275123367344,0.7500234306706017,0.7473865251064754,0.8156454010421311,0.8833711610156546,0.8960258119138821,0.9566032041816643,1.147685525314723,1.0696551125008864,0.8604331321364294,0.9057435972263781,0.7990894339863703,0.8296484737982174,0.8270609815552146,0.8104373660757935,0.8077978415027571,0.7771803877383398,0.8035270552496314,0.8604513277771714,0.9466622020599866,0.9307423811952459,0.8679343504186938,0.9592954287901487,1.031642969714964,0.9731266246858729,1.0749990037589165,1.1369554543942115,1.3698067959739446,1.8991858998292543,1.4946598538212497,1.3774411778628726,1.461669443605281,1.327860111647724,1.3607006278760228,1.5123677744214032,1.661679697339986,1.3509412614359506,1.2827227520116788,1.2314990450248464,1.1211514580863329,1.2138122430548903,1.12689485739947,1.0524916442378867,1.1284458270071107,1.1429992116647387,1.0503876775095178,0.9951179934962431,1.0628073537441343,1.061878583919616,1.014917122317508,1.0238217569541006,1.0290244025997484,1.0108870210925556,1.0821947301063501,1.073084061511878,1.0969736476844427,1.1303894862731951,1.1395630225798614,1.0785774142560187,1.1019139272803389,1.2198259206865751,1.467603367652862,1.4703218625423582,1.5041978772552145,1.4138684366472556,1.408029083253217,1.3849960669330668,1.5533960489299856,1.593943042963347,1.4533057052827782,1.3985816280849417,1.6003285657234223,1.4754931728168272,1.4284902103815391,1.7106519378425482,1.6722776434069038,1.5438873819197614,1.4591770605115715,1.3089382108429717,1.298264427312743,1.3355325516060452,1.2594563796984832,1.3139536777302885,1.3161744622159275,1.3543489631432062,1.2975294680014393,1.2670463084489365,1.212246834103434,1.169992210417553,1.1108308036068733,1.0833629392810409,1.0342543938586293,1.0160515440321096,1.1088737433902274,1.0466374593038683,1.1141773027675177,1.0422050249404835,1.0894253477883908,1.0990897657324867,1.2008927928327189,1.2335168897094526,1.264140551035486,1.2388222871837529,1.1731391449592006,1.2617647605486129,1.282473259478913,1.224318845968212,1.249461177346691,1.4328442460410782,1.4209474974326943,1.2369677697677532,1.3648885932080785,1.7383596172063425,1.7580000909728142,1.4061809270715167,1.292744105493396,1.9440499268837623,1.8131221248342746,1.3775440610214549,1.0834788565407198,1.0593701611057031,1.0574506063616163,1.0671079865045998,1.0190695033424615,0.9590817718673039,1.0139378919349378,1.1410748725547717,0.978859217428485,1.081244729963706,0.9109977530507904,0.8983236362769715,0.9441478733418739,0.9736762899477445,1.0761975302250422,0.9120693539614783,0.88891797385335,0.9545244752518592,0.9593001283210238,1.0773279059896912,1.0552893927485667,1.0404949291131251,1.6372444238383708,2.103010473521869,3.8139468441298643],[0.9518033359526789,0.8599307106094692,0.9065066472616716,0.6979073808309073,0.8741369911512133,0.8164504391597938,0.7571424560795076,0.8317316295862394,0.7437363677694662,0.6451795541809785,0.6458706750500441,0.7058176023871158,0.6970114502547461,0.6432264878500003,0.7246875122721954,0.7204783335612364,0.7383950253438898,0.7566221173937349,0.8580146783850355,0.8401165642827874,0.9568737559793205,1.0088991149563156,1.1974318161410538,1.3179285276347692,1.07868274848336,0.9624736295738309,0.8878660180563888,0.794259019252255,0.769859244270912,0.7377686344302472,0.7401506519689098,0.746620230254966,0.7502497819586227,0.7939066505821696,0.7931015172830128,0.8005539684403766,0.7693122936463725,0.8149938253221123,0.7792227515783453,0.9164751073965361,0.9619482861960483,0.9565827867037516,0.9534661584167134,1.0101730592196967,1.404005134253559,1.6685040956869686,1.8857174955567206,1.2854832750247491,1.4958229163803505,2.224845984123347,1.8487276670387285,2.1273034843540017,2.030348843692545,2.221441314962801,2.0404523164062445,1.3381977465480035,1.2387238511544056,1.292162138380162,1.2370875996957342,1.7870329613995026,1.1799987520102513,0.974553529614735,0.8723535972928299,1.051690392068243,1.0149698796256361,0.8849960155765518,0.9752482375879439,0.8379344677743665,0.924325800494378,0.9280819559994163,1.0279942755222171,1.2633892874805637,0.9620522267556931,1.0092592065542638,0.8905390017544623,0.9590765436085549,0.8893024470408805,0.8309772900834727,0.8743088665317053,0.9058178490026694,0.8315274868742338,0.9048834453256172,0.9831482030243085,1.0965027964497474,0.9125818073263491,0.7916939838331121,0.7883701662256359,0.857225922476288,0.8230152862960336,0.8315588107972283,0.7967302744674789,0.8521930169620119,0.8037783624275466,0.7425782422015518,0.7351716115592394,0.7365119719684827,0.7905990420088663,0.7235914360792455,0.7165012723090404,0.7590425475215714,0.7794255094471133,0.8654275131667756,0.8418230272103916,0.8804882973017578,1.1702024747187467,0.8879676265499579,1.0360731593122852,1.0564172825994063,1.0226699147340412,0.959201745889409,0.9061910132990425,0.8227679443916207,0.7743081162582868,0.7255963364389747,0.7052187086298317,0.7556589348441229,0.826049565572513,0.858134564676779,0.9816412533846715,0.8401599572648146,0.820914120722444,0.7957695926206613,0.7944502091990762,0.6908372498695383,0.7143705131284086,0.7360636346886897,0.8624610580545523,0.8849458630201887,0.8914643199484289,0.9253077716158585,1.0114728006136742,1.0757216799205118,1.02901286071663,0.9660055538979926,0.9111100784505954,0.8376957424668207,0.9193970619983182,0.7556560320236311,0.7075282059211201,0.73481404831441,0.8685427248722135,1.0574413388370576,0.8441926637917992,0.7681929398832253,0.8554815508180817,0.7589893690745487,0.7624643238653982,0.7402385910741875,0.7801685176892355,0.7474308812634817,0.8382668954124799,0.8117590179090722,0.9895325341779917,1.3167697577246056,0.9112000469124665,0.7881396430278207,0.7747847436589254,0.8024135020048521,0.7931753880610714,0.8193418300806785,0.7837914501468791,0.7626444716452846,0.7707984366802413,0.8127267957074309,0.842015926316623,0.9397143601371438,0.8881822046083361,1.1127483541931318,0.982241331404057,0.8452424842891193,0.8221916556177202,0.7843025185441892,0.7915199605042448,0.7998651611762742,0.7980513254085463,0.813394264042544,0.7916836657088523,0.805656990827341,0.8404958005110471,0.9209016112951758,0.8777270811168618,0.8389686770811279,0.8872401940303627,0.9502233154112246,0.900717372752599,1.011133961726845,1.0868349054984336,1.3127398816524882,1.8962099442082647,1.436260384171672,1.2810793502265365,1.3125736086190163,1.1978092530560238,1.2363246523124163,1.4072644274062722,1.6031405206376848,1.3446959266849534,1.2635403993268493,1.2126862522016406,1.1099384476732628,1.2126007057173676,1.1201643085975472,1.0531007212873842,1.1396452072204033,1.1585573584041955,1.062081787824037,1.0246483737112937,1.096390206640437,1.0810687363696627,1.0422250252866525,1.066991147463319,1.0718547591451142,1.0557382143513814,1.1547210021337824,1.1330172574901702,1.1519825137056106,1.1674011205451567,1.1648992815284587,1.1074201210395098,1.1277046347886959,1.202244874013748,1.507342635192927,1.3779636913298108,1.5411267371518682,1.416685793123253,1.3919580443142456,1.3720728407926754,1.5239575903654416,1.6253583567154217,1.4382814996193554,1.3706136475919481,1.5981078000112152,1.4781716521417028,1.4173204628372522,1.6703604257996274,1.6519331953490155,1.5370503774493962,1.4414468019504298,1.304825110155017,1.2710542935637692,1.2960284585979742,1.2343814106415685,1.2762296711719572,1.304738623192596,1.318131207976453,1.2771251162013846,1.238120933239423,1.1893488832799957,1.1825677064459374,1.1279570009957942,1.105231510382856,1.0816037284335323,1.0628344160570316,1.1350277505825133,1.0848137645018359,1.1529458076672339,1.0758978278595437,1.1125701131318775,1.11323430046899,1.2059782139192738,1.2415829830640852,1.2703735674675443,1.2592189632171022,1.193702874260328,1.2739139202447116,1.3013621149107586,1.253986301092246,1.2717134875159803,1.4391880943096618,1.4509000509005243,1.2568597500160512,1.382134009645984,1.7189793306524348,1.7455154950380292,1.3949513558379463,1.3127686799150207,1.9427260001024598,1.8276154137329055,1.4139182956941045,1.139019624936672,1.0990854023397936,1.097177792255208,1.1453183171774157,1.0838640723277388,0.9952507484677303,1.0273011591700711,1.1382295474644935,1.0077429535283406,1.079899122399532,0.916914296897554,0.93961603365017,0.960225923137692,0.974481831938762,1.0825121228497216,0.9696593325014139,0.9255055383490777,0.999674263868724,1.0427533284080042,1.0687695236116808,1.043824782903266,1.0831033784305304,1.5858230538191493,2.027793410547725,3.609718518720522],[0.9761051681783042,0.811524895428044,0.8708735576219641,0.6997084949992031,0.9078990948555593,0.8924517520765232,0.8788637202913457,0.9513563990581957,0.8849681057219004,0.8405625041160654,0.8482132137464479,0.8813554238463077,0.8890439330476281,0.862032203870132,0.9415853231861309,0.9146438187687727,0.9550834426462584,0.961420079367931,1.0311715230545269,1.00787958701134,1.1277683570743864,1.1354059300284156,1.361649523929825,1.4687678385875338,1.1988454476358845,1.1053580642439835,1.0437753892185377,0.989139920814345,0.9758090654151595,0.9337093770602508,0.9624224072001791,0.9445449228699344,0.9556765229994104,0.9874635552050938,0.9867980977460262,0.9965971800799214,0.9718704848889249,1.0118778509389346,0.9780535373185796,1.2112385762548235,1.1391178057240468,1.0606982047231333,1.102132900842418,1.2122974917951934,1.4498109402607333,1.611399516685757,1.9361622201580058,1.4570879479176317,1.663460232579537,2.258528167674474,2.148510881477661,2.451530024312422,2.4013348997519914,2.63123859219707,2.223395016049623,1.63570434935336,1.4226116556319952,1.4872151044501989,1.4226151762425405,1.945067919908458,1.3889927573383318,1.1572652435254442,1.084976600305717,1.199774933817936,1.1263444422537268,1.0813009611766562,1.1706150285018089,1.0338688869919799,1.0984217861371266,1.1461025196582282,1.2280522639692828,1.5088119841381578,1.1717275208925566,1.1920175941813425,1.0928614980994018,1.1666309463469673,1.0668177947100028,1.039920710002793,1.0559009179447902,1.0740749611479175,1.0565361562119662,1.125671518992985,1.2069806023694964,1.3923397368161903,1.197128026875507,1.0433043486125004,1.0056340677753302,1.0732957549165436,1.035762049125428,1.0557421705778551,1.0206060995996231,1.051989903549137,1.0599356494328274,0.9674156864042213,0.9486531805143793,0.9538580721345528,0.9793483483062481,0.9264746110437676,0.9094768769112165,0.9265395809784938,0.9356961117773287,0.999178101436686,1.0308510005980647,1.0382145046113598,1.3279857660130416,1.0536907673612406,1.2025049463913542,1.2212469839431135,1.1027937139658472,1.0484514097061555,0.9769070701719381,0.9731989171519532,0.9166603771100436,0.9052007676055811,0.8911198226901519,0.9416024232821836,0.9777416461515751,1.0189238883811953,1.1504465394412868,1.0132970004848552,1.0086485308354225,0.9912556117990683,1.0001124259224827,0.9317912152933113,0.9054125673097033,0.9017989023766139,0.9288994202104336,0.9893226909039338,1.0013838585572614,1.0728939947184004,1.1226393161708326,1.2016481953474947,1.2393916768576552,1.1822666121777077,1.1529442305250905,1.0060472555374491,1.0577159779216192,0.9225689854695754,0.8935200319235327,0.909308257782619,1.0189474999149457,1.186612909529037,1.0457281984903801,0.9726675674271787,1.0022847344179684,0.9690228493831388,0.9458106642198555,0.917552584671186,0.9410739464564029,0.8957766279370585,0.9531444946139673,0.9518925266982898,1.0818068187437546,1.3475126293915152,1.0391515326345018,0.9277640292936887,0.9170353703438057,0.9491242877996552,0.9691268517484904,1.0186510051972955,0.9997409453414108,0.9808403137352585,0.9814818446672302,1.067777287503898,1.1588378574309317,1.1281118668421157,1.194297558328567,1.3617032857164064,1.241289444182533,1.100296280516546,1.1070552002337917,1.0193729514396628,1.0656520974350308,1.060738320334983,1.0420739105578924,1.0327767300847284,0.9927127596467912,0.9994843749898833,1.0676734206361849,1.185788334450554,1.169022982796347,1.0786242132959318,1.1833812552800884,1.2735596671411302,1.227514985907107,1.341113534200601,1.385574928921001,1.6047201292569893,2.011698273264681,1.6804035877937578,1.6291521590980944,1.5868914359535724,1.4990762146953491,1.4926466233886666,1.6333208939063626,1.775119942321388,1.3745488905915562,1.2824392063434769,1.2173014123373713,1.1198990632294996,1.2101192894387427,1.120130497737118,1.034847775319648,1.068403704681179,1.0862410678338208,1.0053418931006712,0.9157916044939346,0.9725074714836065,0.9867931893873456,0.9436666850954218,0.914173645744884,0.9140593342332788,0.9374111476309912,1.012537102407712,0.9605551693129601,0.9820750558725229,1.0039029665206278,1.025189522271758,0.9678764343547818,1.0037655178470521,1.2518800960662666,1.517512522175864,1.5017993968119054,1.3816530893592913,1.3517562826204814,1.4371898106467909,1.4335058456263179,1.610573261584459,1.6620079411356645,1.4753321242266328,1.4721394074996212,1.6954148684755423,1.5327619658688942,1.4737922361797102,1.8480014222766648,1.7814628307618636,1.5843651740568425,1.4992034183985994,1.293754622206783,1.2995632586283181,1.41002749088216,1.3167760239897908,1.3680665769440148,1.3621427500142769,1.414304453834016,1.3534617272918428,1.2925712426094633,1.2231631104190683,1.1718758629235775,1.0907434242655234,1.0639806551333661,1.0377025456575601,0.9872928129588274,1.0346572093455726,0.9892670617903383,1.1117111498501238,0.9717545541353708,1.017137188987414,1.0285186811541749,1.1341391198200075,1.1961484684901047,1.237684710750224,1.1872832223823895,1.0966106475800828,1.2338890231090844,1.2461322038065097,1.1545443330864416,1.1839992473108092,1.4443769389872922,1.3994193481672876,1.1669106153696678,1.3644496394773022,1.8175252465198257,1.7601737407781326,1.3342745751837521,1.173458055281599,1.902168393832022,1.681991952010221,1.2892789887865028,0.97378168015603,0.9231785151992293,0.9572252010657917,0.9739783162445679,0.9179193916738422,0.8341416800080121,0.8795629597063137,1.020610661889705,0.9247582529273187,1.052185613399445,0.9339156229105594,0.8794911398537328,0.9657844311025074,1.0089783398022385,1.0687795695202333,0.9261560986858853,0.8790123334423665,0.9384379426799385,0.9635804142618191,1.1184812361180854,1.1338122548490845,1.1237108256779422,1.7024798544963478,2.0002816833676835,3.6682591089771126],[1.0929142644361243,0.8157291300211865,0.794111873727976,0.5852416619997087,0.7044998193462967,0.7075314741180131,0.6671904669143646,0.7177021449385593,0.690972478103054,0.6186236840200907,0.6305076097630276,0.6818525917164291,0.6857387954761083,0.6377673945498548,0.7212713615987622,0.7273445160376352,0.7663462941078482,0.8039315691903324,0.911854909613356,0.905070441116334,1.031462176454061,1.1025242636666832,1.2729031847659633,1.4001603792829413,1.1712913840369334,1.0405571518459982,0.9496656003208663,0.8521168056201455,0.8252012918035512,0.7654575291458675,0.7678832670460894,0.7669363256268075,0.7820906622357404,0.8287521519538584,0.8388080706668537,0.86175443133204,0.8179118568211491,0.9022541706351221,0.8738384585813914,0.9749021016894164,1.0483735103919425,1.0610602696742115,1.0598957506775406,1.0694136897791735,1.557432248235364,1.8333921531357515,2.064703209806181,1.4357617130488438,1.5416719241860302,2.378206448715955,1.9758714315862274,2.1105965806955953,1.9764739727553742,2.1065569502592343,2.074483223818291,1.3608490735712904,1.2645110194039524,1.420755272639987,1.3499216458412806,1.7670931402397523,1.1659423280973753,1.0467180428513783,0.9394788192717295,1.1250908547559142,1.0882614421597627,0.953457230777376,1.042455007143883,0.8912906815004751,0.9725993340708496,0.9650254143726469,1.0611611793367628,1.2923750676197343,0.9995076964633103,1.0365789855972347,0.9388669531309208,0.9967819252568443,0.9630561487232824,0.9000377968399138,0.9502211629910302,0.9885399989332112,0.9191325957351894,0.9835845525477661,1.047801670773266,1.1688224000665397,0.9747995297395844,0.861946316586209,0.8766970981518114,0.9168350797096353,0.902099300184772,0.8985378080616288,0.8465826724337364,0.890238406699891,0.82242861276484,0.7635509491793967,0.7480214791244845,0.7355850619406917,0.7667294390377704,0.7307028095826537,0.7092006687832366,0.7262053581758953,0.7484520099087774,0.8054611171971394,0.806283824486654,0.8127256506829785,1.0990456441064087,0.804662403718731,0.95309744065099,0.9457009710498916,0.8690895034425239,0.8329482230911015,0.7554241810204899,0.728987996511215,0.6848771024878818,0.6897801154127332,0.7131080619548975,0.7787459285201876,0.8657644383018224,0.8889791869107045,1.0124165974510269,0.8585872634288529,0.834809822144684,0.8134366996569845,0.8119178415977581,0.7023210642709412,0.6633720387588191,0.6667451871472652,0.7381317689947197,0.7571767257935597,0.7538204057776137,0.8112058292315031,0.8705511130183038,0.9459043055507734,0.9275002545042246,0.9003729613113799,0.8608924703691077,0.7862318981307876,0.7946022158174393,0.7459366762755588,0.7277173803218383,0.7796728462529092,0.8888869020226937,1.117946273742775,0.9017034942003301,0.8251678047855369,0.9208462869066089,0.8154658280710332,0.7987918875562299,0.7622696028220801,0.7536842386622465,0.6789627471933498,0.7628261094553431,0.7116386060017971,0.9089153293507083,1.298832351513096,0.8601879782935858,0.7237028045825216,0.7146031980625938,0.7261665855671483,0.760266110522435,0.7673014469974346,0.7614460529440613,0.7971769649954146,0.8272611838784802,0.882005648310185,0.9500748139939575,1.0397534825200527,0.9973591719192331,1.2510671223806118,1.0699421569459464,0.9432647135428559,0.8587661374513043,0.8244568279174078,0.8384859174216305,0.8281685499229551,0.8261096144951782,0.8008533252375469,0.7865136505242446,0.8293890378922907,0.8854440570280848,0.9482085388467718,0.9327233694616022,0.7941782205766656,0.8725996035493098,0.9815101592971812,0.9728120969597321,1.1055532918291644,1.127220538167199,1.3929461887368022,1.906228548800002,1.5400026073707624,1.4332680626052423,1.3192449603574352,1.2194225895064392,1.225674972057687,1.4019184804450089,1.5729676705731928,1.2334474416657877,1.0833178794389895,1.0088331472900567,0.9104374455194457,1.049767510240241,0.9292703183097207,0.8318307064976533,0.9267906348410642,0.9654593752434771,0.8427464732874528,0.8087415628774185,0.8988213570810456,0.8809067493497584,0.8361371063621861,0.8754216723876366,0.88782634820001,0.8692201281542574,1.0152637885333726,0.9961847375366729,1.022424256759213,1.0124906782579282,1.0554893238584686,0.9605302437917415,0.9958255420853683,1.2559199672060148,1.6017057595057216,1.4578341625034819,1.3804710092222345,1.3190991020062377,1.360242802269292,1.3371146753509857,1.5195008915839514,1.6496651537690636,1.3751514928614763,1.342062089212852,1.636785605404244,1.467791594183063,1.3517674690554065,1.7252523218924385,1.6941055043344688,1.502816008460839,1.3558932250150049,1.159837988078942,1.1216452029499726,1.2489217175812672,1.16463356294118,1.1782769706747576,1.2262166301420843,1.210341000627491,1.2033735548790898,1.1351656390627425,1.042394753341763,0.998802699078795,0.9415046832599564,0.9175979076151094,0.879464470288945,0.8611976499435022,0.9373716001239143,0.8906223511476444,1.0008582493373737,0.9063434736572787,0.9602590681745969,0.9624402462850644,1.0522414643079485,1.1001676955433244,1.185011921180886,1.1319802178677312,1.033430004506996,1.152380459289514,1.2073992012949033,1.1254259951381984,1.1127801242857442,1.3883053922561324,1.3929729795172658,1.1154545785695718,1.298168301199248,1.751328099379883,1.7225798440886684,1.2720597637735038,1.1408108057218407,1.8870996149367896,1.6576452486619138,1.3816389853392874,1.02533397936952,0.910574093110895,0.9235264959805869,1.0157379120699537,0.9390771208168515,0.8409494539028385,0.7725106345561848,0.8825330876340242,0.7495855547863652,0.8394621550792284,0.7214021805425238,0.7286462252990585,0.7820360296392502,0.8664495487521745,0.8532387119394996,0.7655961824701829,0.7725213509918061,0.7701840653973768,0.8529833614812934,0.9736252628985607,1.0916122099821615,1.0431286314442305,1.4842765536066913,1.7575278577870288,3.2326666442333996],[0.8941800508414939,0.6499371764434716,0.6461406794655524,0.4194329979630958,0.551225956096748,0.5673074848692724,0.5162542960862117,0.5812471949579963,0.5546258680024765,0.4871791343442788,0.5025454275422239,0.5322518199497672,0.5431175901974498,0.531315303630683,0.6101455788796875,0.5876498040331749,0.6285766493684133,0.6632028938433787,0.7623309478359509,0.7448467501195773,0.8844528852521275,0.932718718705034,1.1406484464969984,1.2568335458436053,1.0189217568333426,0.8720395548401599,0.8074508855766988,0.6829432009234973,0.6661417766081247,0.6083590839522864,0.6348701112991912,0.596913723396193,0.6108684098665387,0.6565496722765582,0.6605558035589875,0.6854599714719032,0.6563356334733415,0.7310880206955952,0.6918675067264805,0.8773327543079856,0.8960243800560725,0.8721323029359662,0.889126351252984,0.9492150594835381,1.2869318723239724,1.4937606444894365,1.7800500797233207,1.2121378957426268,1.4200369926013898,2.146896560693595,1.8488203595377926,2.130043567806976,2.0302558193213827,2.2139832988382246,1.9534822938791443,1.3209817513513338,1.207191490899458,1.2008523047267439,1.1594535375748383,1.7923504921532019,1.165534162399991,0.9003370806241391,0.8045399378156181,1.0001931550671626,0.9286263931198163,0.8157735961347194,0.91280925333043,0.7346207695812544,0.8393808303666512,0.8698096514177598,0.9765682689717007,1.2355826370342,0.9174048415323499,0.9309440504365729,0.802549834514353,0.9055188816504725,0.7784596050663907,0.716490459162255,0.7656455663226571,0.8120889423380359,0.7546558123692775,0.849848644611228,0.90210621052535,1.056841541107105,0.8782294903109256,0.7036247607805103,0.7054131384229789,0.7661016397639924,0.7210762834866745,0.744544835616218,0.680770724224243,0.7564520406920078,0.7069731311563969,0.6265405720374566,0.6181160010728995,0.6293998489437143,0.6851999243823047,0.5926884209773295,0.5646023726100764,0.6087376115378531,0.5838285485494209,0.6444349977050147,0.629177574600783,0.6515553391420896,0.9788347842112882,0.6711170839939758,0.8302027830899238,0.824443134728931,0.7245607227642256,0.701451097591915,0.6035261729621186,0.5973459583463323,0.5344327987328539,0.5356347092673978,0.5692600172267346,0.6557017046792866,0.7196682030477708,0.7422825738324426,0.8832279418859286,0.7310623429804234,0.7445702712094276,0.7203302632924274,0.7218485357512766,0.5941715628649812,0.5378646741945268,0.5245513518748106,0.5941442432531381,0.6285389354540588,0.6233028299659904,0.6721567439511517,0.7542186245230985,0.8209256114144126,0.835029679188439,0.7684187107226663,0.7458644980231907,0.6553296082019852,0.7005563095628708,0.6034686560420405,0.5756000753375501,0.6074590259509939,0.6900762315023142,0.8977462796527333,0.7200463174922423,0.6501973371522173,0.7634410106795055,0.6353277041934713,0.6257090937533929,0.5894490436013481,0.5703253913459108,0.5177639583148895,0.6175940593603784,0.5788537772733933,0.8301595530284257,1.244021610128983,0.8337679770002917,0.572918511199698,0.5449467145925585,0.5538823939450273,0.580803164149638,0.6178804618254601,0.6076324123327633,0.626627609532271,0.6445557928705814,0.7325289886223094,0.7910565197303576,0.877281444894918,0.8708562883871538,1.1277173110990417,0.9737006624522982,0.7992553195004952,0.7373762985758189,0.6822074199323114,0.6989774304678178,0.6879430848554614,0.6759700409499415,0.6391131213134156,0.6230796775881035,0.6504055304125207,0.739389848234645,0.7916783397531136,0.832182215702527,0.6617391910775241,0.7599054259348875,0.863137353942768,0.8570384493729871,1.0246981103518582,1.0809210919013288,1.3259360534057487,1.8903571548763645,1.4913001701820412,1.3624937746190724,1.3250938734321869,1.1550310005928321,1.150600095818825,1.3115051995062412,1.5084740337938995,1.1197717876069002,0.9903327402530143,0.9160151609269014,0.7938233180429358,0.9192918861749961,0.7876298854878658,0.6981210098906354,0.787064618394257,0.800315161927268,0.6970510487619166,0.6683436239235816,0.7443626098969579,0.7076918992715571,0.7086660042491583,0.7252820370534108,0.7239446658530502,0.7536144408125758,0.9310199750660917,0.8805816233723561,0.8859982664836703,0.8919053188746641,0.9002704352769598,0.7983654192696654,0.8454334166440144,1.1232119974680475,1.4900028399288345,1.3447135501840073,1.2756357533310907,1.186743987757381,1.2062478471832099,1.2003827579403665,1.3725361303837076,1.5304208873376066,1.2468362400574375,1.2077923720469874,1.526511584134546,1.3604317690614114,1.2347482553347477,1.6229765317742704,1.606913358877414,1.4219883792600314,1.2968705459147685,1.0530130354302547,1.0043319135148325,1.1316249348559424,1.0213277242699805,1.049491043716428,1.0865923029821216,1.0915786259629,1.0778871404206871,0.9849926997825219,0.8759993634920811,0.8552321859298794,0.7683915135483806,0.7401568212717493,0.7348918071656068,0.7038963277942064,0.7503306279252947,0.7214857312592544,0.9016451118045479,0.7536550057120013,0.792363470558043,0.7873599566464432,0.8739325052750053,0.9219626435708466,1.0185175025241051,0.9633956799050947,0.8625271669118825,1.002873183478634,1.0636723138846151,0.9696718987375342,0.9806497066885923,1.2698272708942524,1.2927778929508573,0.9942200399240162,1.2339629904714735,1.6707589007082557,1.6209195840949806,1.1652487101538234,0.9868676528156511,1.7836496940940014,1.5822777061439144,1.2214189305043999,0.9029910634770627,0.7614655749296522,0.7999914528002615,0.9113907115258143,0.8012043577612826,0.685082831537575,0.6525240962103065,0.77282944746194,0.6135922130963857,0.7322599990579839,0.5878546585187869,0.5760930696673301,0.6257380007698626,0.6873425475064036,0.7131234459479956,0.6228450205893084,0.6057641608023491,0.644327112414705,0.6960401888930816,0.8572379688618547,0.9671079461272651,0.8752141985034386,1.3948433684446164,1.593298452874953,3.05040061157765],[0.8701218054968499,0.6527847483967736,0.6498781521700501,0.41648539795337775,0.5637298391888771,0.5654715859309725,0.49677013823225163,0.5603747356352752,0.5296667558028476,0.4740824358216481,0.4944229622263496,0.4795028676402099,0.5237499262646483,0.5250508505306916,0.603323334335712,0.5752090434081502,0.6124560472700341,0.6554180009099185,0.7837369852339655,0.732393910208706,0.8930752810315739,0.9265847053659255,1.1838079784318651,1.2911122454577286,1.006719343012775,0.865490991063864,0.7577853818539079,0.6654206594889941,0.6330093032337336,0.5770652821114832,0.6286163631838264,0.5559680923327877,0.5747132795040045,0.6394785462933565,0.6284191460260324,0.669242073261947,0.6191189464726322,0.7159055131300656,0.6691495420808284,0.8922760553851045,0.8640227725779182,0.8274938276984907,0.8967374132187598,1.0371613851988923,1.2866398635514555,1.4812231310354123,1.839804932720672,1.3203339282404014,1.5522325016864764,2.2180755364626097,2.073873298541066,2.3677163089962954,2.2584660236716205,2.4710706877922033,2.054719589266652,1.4710633695580044,1.2750227151656375,1.28890533278251,1.2211325802741222,1.8526404455007444,1.211558985432533,0.9159563267088356,0.8149063951567177,1.0332396147520146,0.9240870636575981,0.8043724309069445,0.9329341695207323,0.7454629670055058,0.8712926385603105,0.8960034648427216,1.011321753052424,1.3355831822463593,0.9574514179843554,0.9954426406938791,0.8085645759227656,0.9196652498359571,0.80432858749882,0.739938799151578,0.7781614610428219,0.8251499246955771,0.7282049237676192,0.8230845743161331,0.8840526518325003,1.0840324301010833,0.8670392563076612,0.6883006814496626,0.6815806200235304,0.7403556870895426,0.7167690404576055,0.7378370147305764,0.6810429125242007,0.7747838701733049,0.7502789417894715,0.6151773899523991,0.6006047294272753,0.6309207337845738,0.6922702481424334,0.5608967534224868,0.5210050106026853,0.5571848883734544,0.5574341771358285,0.6323958390396703,0.634149830700972,0.6601046383309245,1.0356743127255248,0.6675327281137505,0.8379156283794107,0.8525398670790305,0.7439669087565142,0.6948240425622311,0.604151664165398,0.5858549390415183,0.5183685207363885,0.5142918788532262,0.5362087004743702,0.6102494086455643,0.6821722993610172,0.7294219491144883,0.8924892453046694,0.7277980003356224,0.7351972525026186,0.7174963773216342,0.7113109277150732,0.582617208538041,0.5269483304019478,0.5106353394991,0.5947876970487722,0.6268072873849712,0.6263603161365776,0.7069455056165991,0.7773629541417336,0.8637289399942398,0.8910707584603436,0.8195262902423367,0.772965222679508,0.65810056275723,0.7133463761259294,0.5828147553228776,0.546315770865476,0.5629188744780766,0.6712368280499682,0.8940253326352773,0.7288134154308569,0.6294761890540761,0.7101079877300263,0.6228438191697365,0.6064713499237996,0.5699539453218115,0.5494927179642076,0.5144382639370398,0.6076175571937372,0.5435602836335094,0.7935471411846121,1.212288385317815,0.8331914789985948,0.5429157533380553,0.5257612778978462,0.5503269352591437,0.576561036819425,0.623695312918535,0.6178968549883985,0.6196252419895668,0.6318854076955946,0.7410945958741075,0.8206712495711457,0.8359910959641893,0.8776372555370376,1.1111015216786855,0.9381483277631572,0.7639999329982885,0.7393202782390093,0.6633455124575599,0.6985852947255148,0.6886654433551629,0.6716936183837676,0.6553520643250987,0.638142616044958,0.6600454930208666,0.7310845863404857,0.8255170879668509,0.8301787706341587,0.6867778537929495,0.8183318423601605,0.932479395500746,0.8740686084595035,1.024877839707042,1.0833318305890498,1.3614894229298784,1.8699025640932663,1.5257357115476855,1.4617823579341271,1.379920977694338,1.2506081325097238,1.225703928852635,1.3952962853771051,1.568234629129815,1.1502441933530607,1.0229033267102257,0.9590630090046348,0.8283336806773967,0.9596757211821708,0.824413604904273,0.7301666865486593,0.8229773454766208,0.8413664154138131,0.7277654598213025,0.6919710904559363,0.7710167816435284,0.7389589134768437,0.7253705578266763,0.7463120979984742,0.7493754157194639,0.7657339768574456,0.9298387598446206,0.8970291959616137,0.8967818234430065,0.9308263947347034,0.9341754310414875,0.8352880360475445,0.8852157219260076,1.1879831249839148,1.5644974619901273,1.4138511068541135,1.3125452789805514,1.2470036858743825,1.2795024415329488,1.2570436229896895,1.4591693667601704,1.6007768083268552,1.3086185908680272,1.281615075738673,1.6166893797654907,1.4299749817584595,1.2996756015341095,1.7144188247013523,1.691165757903346,1.4689450345582078,1.332824323255161,1.1008581487709672,1.0589944531246052,1.1935081634293754,1.0762870643693965,1.1006673229083344,1.1258869347491574,1.1242064812579553,1.0993374247493835,1.0306423103941762,0.9190767310295072,0.8874964267713399,0.8069864874573093,0.7781877626060544,0.7581387449697766,0.7352449184923743,0.7844167505609719,0.7456896157257261,0.904837335450697,0.7795354967598759,0.8291589955863357,0.8287210044036627,0.916742672537498,0.9645939671304457,1.0671397285502655,1.0161163905584327,0.9053589411053674,1.050716737988834,1.1207292025712805,1.0219389240457846,1.0273810462841013,1.3358289914462207,1.340483062028237,1.0374372804289633,1.274934070886693,1.7330652445142796,1.6667881773184474,1.1982672599254374,1.0162219161208341,1.810022760578668,1.5654297114160722,1.2354040791107517,0.9119156003466061,0.7795835070992106,0.8023703891771503,0.903351142777183,0.8086986722643995,0.717205755692144,0.6840591750642506,0.8191085243961778,0.6424253766333883,0.7661724745958944,0.594428145853785,0.5923181053868892,0.6316233619962804,0.6798232641924492,0.7611315112963868,0.6512275602281816,0.6258688078544902,0.6948994233563682,0.7199386208455734,0.8847764412440632,0.9684436056732111,0.833851739069103,1.425392824872839,1.6015296485759782,3.0891941763380273],[0.9832302182210986,0.7041314353393714,0.684454995215945,0.44032679008986375,0.5533111808245674,0.5625698363229344,0.4859021473847171,0.5365016048071889,0.5261496662536124,0.45329685639600653,0.4776612580606905,0.48605442360671497,0.5031871056943267,0.514841201945583,0.5958935782353002,0.5536967620749281,0.5926173652317256,0.6361723028017503,0.7607882109348272,0.7168939452281691,0.8891440052112274,0.9169005952429707,1.1958253154011953,1.2916747994643312,1.001109273680517,0.8541634590415126,0.7337199851079144,0.6475738069300508,0.616194363566147,0.5626777465602457,0.610893894087276,0.5374490955895299,0.5468308889814696,0.6155506439865163,0.6092629100961012,0.6577935631798425,0.6066444615194502,0.7130846715620084,0.6694452935466431,0.9149473398812807,0.8755393623122459,0.8198582968052924,0.9048926098391674,1.0904179035456538,1.2880088558424905,1.4969508240622857,1.872316151131852,1.3731401899853453,1.6186876681826814,2.2662282856184928,2.1513464001741385,2.419875243393538,2.313638342506019,2.5096516362244388,2.0841719143798962,1.5326150433327606,1.3390211818743798,1.3226042542578251,1.268147006333141,1.890303361381083,1.2739350313874505,0.935062948277177,0.8326031458648647,1.036339071421872,0.9284687793599646,0.8212587432835002,0.9354210369289476,0.728744998281916,0.8575283242197136,0.8675586894199242,0.9834937972954081,1.303074666949355,0.9441590794719985,0.9976628785989666,0.794358277369608,0.9134499052451391,0.7971255620279637,0.7302004539210721,0.7682508247461758,0.834164949325719,0.7376694872051502,0.8388867875215308,0.8998504302754183,1.0848856722070412,0.8732794452562062,0.6926673896947088,0.6861670714989347,0.7354670080739505,0.7116087608198043,0.7277454629163898,0.6694156963786231,0.7677846766605008,0.736017577965048,0.6031251403648997,0.5854507653492044,0.6264700349406314,0.6856976273014744,0.5524056012612203,0.5098658193887156,0.5419262610508007,0.5386714317427934,0.626734246715905,0.6252853487404738,0.6417650824664812,1.0074030479671743,0.6596556309481976,0.846736993592851,0.8524119980318616,0.7382827762134181,0.7054195036532638,0.5857530647321002,0.5659710543141213,0.5018988381016497,0.5041860607890326,0.5208817009973605,0.5958931008476135,0.6638517831731756,0.6980452281366963,0.8671824074133668,0.7004324647603319,0.7188229550140267,0.7003070961703803,0.6911801664767084,0.5709654501672408,0.507382702886282,0.4915621467911961,0.5674449870329898,0.5934820107531217,0.6241900365755599,0.6993577832772058,0.7813570098392336,0.8715356828290872,0.8868062656009157,0.8213528532121643,0.7784856588240944,0.6582409132819679,0.7009179578946284,0.5905610631542217,0.5397025537050599,0.5604019594882014,0.6622196403487328,0.8923111017735342,0.7279192670761976,0.6244940226926163,0.7057160881513104,0.6182700151056313,0.6005129063367223,0.5590934712747788,0.5442637190084352,0.4998145975074328,0.5947012088627169,0.5301542275570034,0.7867039419285065,1.2657216560253652,0.8560231521717008,0.5271049720351624,0.5015403757137485,0.5299084564774676,0.5606097392078909,0.6161193985073438,0.6141863606650599,0.6212514836976628,0.638112410569982,0.7539226116312406,0.8371017165295532,0.8583344869855206,0.8996046583329699,1.1348732330187619,0.9545012333696711,0.7853699397588164,0.7508494464074603,0.6748608142449025,0.7099962901381627,0.6995751449091269,0.6805079594514711,0.6525733621871442,0.6358217194000264,0.6572486459251626,0.7406075829038116,0.8296949164792926,0.8437276790366255,0.6805674937191217,0.8213992270173203,0.9474930580954329,0.8963387945484713,1.047426193322779,1.107917612793197,1.3816410295916919,1.888346203564146,1.5401453155320064,1.4988678593880382,1.3675572933896782,1.246529151851544,1.232435496103251,1.4179910700580227,1.6104145999170856,1.1583745270722705,1.0271590287759647,0.9529838787587505,0.8197442802495291,0.9726937342360712,0.8221282931910245,0.7147223738945571,0.8307812839820061,0.8548869595141705,0.7148175473284887,0.6866074289891814,0.8027490828366297,0.7528573985686807,0.7419640257839053,0.7644663288577046,0.7796443391098266,0.7881427858639238,0.9604510882349055,0.9414486914837443,0.9142945800807936,1.0258109633257895,1.0140710041627445,0.9111848150779165,0.9767990351305523,1.3548705997246482,1.8047783057696694,1.5382621484452483,1.3753656760620612,1.3253272528327182,1.3698166934008573,1.3206218027429852,1.5443558873958076,1.7207832700260697,1.3654813252227498,1.3486870485165212,1.7132799077814085,1.5075049371208444,1.3536825589324428,1.7908078848677618,1.803287444360472,1.5280931094231287,1.383195258329128,1.1201896466818955,1.065786895845031,1.2326611232742186,1.1144025321824496,1.1263564981283258,1.170690517617641,1.1273340303082142,1.1168006382551428,1.0351955794543284,0.9084114521148652,0.8536823278658889,0.8024557188269745,0.7787081167546053,0.7531568510840967,0.7391618101552544,0.794931269662594,0.7672207486653742,0.9253148882068881,0.8299396048609459,0.8946021023403005,0.8856661974515555,0.9648482216304228,0.9901918787309029,1.1482348182250932,1.0855866502459393,0.954750279115077,1.1123631233922155,1.2040059963639762,1.0877053734179745,1.0813766492053194,1.4240057867938285,1.4187682887462374,1.0921836036766688,1.3577828343934881,1.8300015132767649,1.7123668784378738,1.2579252268562353,1.028228848678918,1.794265509879238,1.4976112059157782,1.3016568434485167,0.9520327427654296,0.7931055766138029,0.7971592764428939,0.9022127057657523,0.7915739205144775,0.738801510859771,0.6895311975057943,0.8150652902568604,0.6293712614256339,0.7402410159175056,0.5853382089138669,0.5881566677135792,0.6286450483357574,0.7053333193336975,0.694719938694408,0.6097980131710766,0.6268571795310515,0.6462522717401803,0.6744121874797487,0.8688443248018816,1.0350593540034125,0.8806559987410637,1.3472835839239874,1.4399167236714585,2.7703089842109803],[1.279097558521368,1.0365512100850645,0.9976206481374988,0.8619735864111573,0.9647862398270767,0.9758096249712452,0.9667487867730961,0.9674022203396265,1.0449626689629405,1.0701532683353976,1.1114646373701365,1.0762802862690741,1.1119628704693165,1.1572614228117886,1.2205319937465196,1.1676168998841148,1.2113053582479072,1.295375413766493,1.4356579343205211,1.373097947859115,1.500822574718876,1.4930874276697985,1.7368731949916003,1.8196923610139621,1.5742315905286144,1.4756409145432132,1.388067082178359,1.28910633842286,1.2574390606390462,1.1667770255074603,1.2423234372169651,1.1493908179417214,1.1691024471363114,1.2438307508631758,1.2136373998293386,1.2736283866630236,1.1760560251795225,1.2507496365101656,1.251555710320643,1.4153455188460136,1.4681677237525268,1.415944972331574,1.5182269856740966,1.6795883481050244,1.8042134028442498,1.8891642590884499,2.1939635108067153,1.873788277169164,2.0605179810089704,2.485691951782005,2.5478835117791423,2.7665503892035295,2.7029066794094048,2.9048717626097558,2.4704218573086933,2.0402668903933683,1.8419979780547946,1.8061336926071712,1.8112999346890284,2.3521294347974044,1.7831942543821608,1.5031421429025864,1.4409324618957642,1.5679967422111618,1.5193902066214764,1.4476664142488753,1.5644855998758551,1.3939729611991558,1.5068282371005526,1.4745599914920327,1.6070757756961211,1.871862436571227,1.5697981748847134,1.6268250083051705,1.442812223877907,1.619374502430376,1.46291722340017,1.3896962951774552,1.3759326809689834,1.4243743997382416,1.319306512379467,1.35288268796702,1.4131593628609493,1.6180990548739649,1.3848223091691843,1.2457414466891483,1.2879046300533399,1.2596385605718556,1.3530041770068293,1.3529038960594957,1.3369237073514637,1.434989127690428,1.371759033478477,1.2811454977458974,1.2348063717871018,1.2493000462045574,1.2581376276865504,1.14310119971943,1.0883757217182615,1.0814699130703949,1.0731328120572117,1.0504679260713647,1.123733268745939,1.106422750109376,1.4259041242517592,1.1690169601273928,1.266111717580877,1.2867325906383371,1.2142452071226064,1.1423667955064822,1.0593901362104456,1.0795356160254141,0.9989043921330439,1.0499771140360983,1.117395294025106,1.199475145088892,1.271861938195137,1.336363353969253,1.4636713749723897,1.3544553114977875,1.3704403929774462,1.3444562519627439,1.334701401516985,1.1959797206429132,1.093236485959294,1.0452744269587602,1.055282221972257,1.0737617981398515,1.1006126476354283,1.162334671001849,1.2189699781338985,1.3182364863580391,1.3009878858307717,1.2662959200383597,1.231015698382118,1.1280374556308814,1.1122867085120514,1.0746353721421067,1.1071503619312022,1.1475633942994286,1.3211491345587962,1.4493063927414414,1.354819931707909,1.2437061991237857,1.272781545537164,1.2096118540567664,1.1676657112073978,1.1093452747175419,1.0803212998116427,1.0354166748004814,1.0779555386410122,0.9724804709916735,1.09924182530411,1.4499470729262274,1.222306215002724,1.0288702079539098,1.042748339812158,1.0338490155414122,1.074915018927114,1.1373447169224924,1.1305595284021257,1.188872753414276,1.1928497741791213,1.2883434705401398,1.351820500965357,1.3258762491496954,1.3304704272602865,1.4823160684965708,1.2744574667929538,1.248801176171151,1.2276831102612646,1.1936897860776092,1.22085553580351,1.2065352941438217,1.1979011019792105,1.1616884438720345,1.1760868900405297,1.198326796013663,1.2399485483298243,1.2689251597953466,1.3112946284552922,1.1937880331624176,1.2824501931996148,1.373263736369334,1.3543899647786934,1.4451948590222146,1.5121983178066551,1.7035839708308926,2.1505968344420734,1.847676389872703,1.8185623330974168,1.5421534300430997,1.4869207143118306,1.529360410617208,1.7210882225659427,1.8965487488880537,1.5350510321715654,1.4683577932989098,1.3971106894927887,1.2769850829369858,1.439028845592074,1.2970434832157491,1.1883577628442017,1.2939197499179984,1.3381280929783255,1.182156555233347,1.1428207045678995,1.2787936150956352,1.2348732270097917,1.1786563795239358,1.1983233602827208,1.2322176197412442,1.1853296579391552,1.2692921380321363,1.3135594450655335,1.305734712836005,1.406065184334728,1.4636665059962364,1.4021736471978252,1.4490347545903353,1.7952054634236538,2.2174371068290495,1.9330164803587448,1.8871040735871143,1.8694295139720696,1.8926302952338898,1.7762551407823968,2.022493532007329,2.1702155091485924,1.8067975321869576,1.8281175084035184,2.2130384090795263,1.9625776910488761,1.8059935092017758,2.2036483786415495,2.2678716622520496,1.9397151582678116,1.7845577180487482,1.5643871736013886,1.5176104435392521,1.7140072662500878,1.617803984972496,1.5663917860235432,1.6392707301510507,1.5556523857452038,1.558909398388868,1.536635177949115,1.409591480833591,1.3194239551777078,1.2835382268556914,1.2666335928303725,1.2062435362694945,1.2026150989785154,1.2857649405670029,1.2388317226503465,1.3476102895497442,1.2861470380532103,1.374127766136675,1.3822241956255625,1.4603858811102428,1.482198475299211,1.6649205506509401,1.583549970218566,1.4471969411171308,1.6064660639474138,1.708754556989063,1.5804818525629394,1.5513742124056586,1.8789547600826613,1.8634770952964994,1.5533190055736372,1.7680758273375337,2.2167484890691966,2.038720546253689,1.6898590994871996,1.459191909611915,2.1577067841182256,1.8854341505282848,1.726908433434181,1.3457723580821017,1.2374007520831665,1.201047582258919,1.2710361467695754,1.2043442549811252,1.1784828126634637,1.1321537107305684,1.2546491700642366,1.05495370825552,1.1835084757968999,1.0342269031211486,1.0165566100520658,1.093419112347436,1.1618440150503337,1.1223490693436904,1.0159776428174974,1.0462258117516179,0.9947149166655915,1.019952326716123,1.1567190598497858,1.2928192993200884,1.1700696290120354,1.6290142061570014,1.703636879894589,3.0205697712055564],[1.2139870550515457,0.8709936052121435,0.7848011307399363,0.5797033211867756,0.6115573606601009,0.6363711492192169,0.550332096536969,0.613594732041905,0.5850599816279538,0.5498808066737768,0.575019192635975,0.553972451174702,0.6108798859734341,0.6348302141874965,0.7026271124985283,0.6773827602816589,0.724623609751947,0.7968242757072397,0.958740996999884,0.9074949683475078,1.1008455597602949,1.1247246846511796,1.4275289969024156,1.5181170442221812,1.2096105457247617,1.0671095449783805,0.8885468060644862,0.7987291561990368,0.7566021942400348,0.6768376660736384,0.7566548793857396,0.644964567346376,0.6574965939351239,0.7481020202449875,0.7484130272969829,0.8083933165629509,0.7345573574923587,0.8821119835473636,0.8304077175229525,1.0256330855213935,0.9704621079453023,0.9921675033118518,1.0889230150020988,1.3017454624011733,1.4273022077265933,1.6514802427047481,2.0470054140060627,1.58704472453867,1.855038017827964,2.4665467926652287,2.4022459752410645,2.623362417299152,2.5006225640006012,2.6888598383598032,2.2511518575036904,1.7248447207535835,1.486983402239498,1.521162614227482,1.41376052777257,1.9620999654231124,1.423953425480899,1.1383493326063296,1.0519483558672253,1.3011647896214402,1.17542267327803,1.0319026429066542,1.1500188895740449,0.9360696648464979,1.0697352196806766,1.0522764659662065,1.1594559016965134,1.4830812813279983,1.1430651197602972,1.2023271399880893,0.981325276042195,1.0597503280222011,0.983331812767956,0.9301039313652973,0.9686853653076659,1.0289821857128663,0.8548658224123983,0.9354030183147006,0.993119103796554,1.148759330695523,0.9501346237186876,0.8242918979811807,0.8347250654554556,0.8325148478009451,0.885123060289598,0.8643270640671411,0.8350675437038463,0.9543221532904645,0.9386840803560144,0.7590670045562439,0.7196403002350246,0.7426274832274131,0.779937039020607,0.6433150751192216,0.5911018307928095,0.6199650457702921,0.6125079292381929,0.6784132824421214,0.6849084475083261,0.7250476044021148,1.1215514562833795,0.7215393975863387,0.9283172616067545,0.9782560141606004,0.823455964160414,0.772372144623376,0.6388267624144977,0.6238154794843923,0.5712574143726534,0.5763144650063966,0.6053304532338644,0.6748520703615314,0.7628261951033187,0.8401416959269138,1.0350665919297606,0.8522866989419607,0.8483068826619031,0.8043527755108231,0.7864422745503664,0.6425521006162791,0.5627087342064642,0.5474060249432671,0.6034837233450036,0.642838423711908,0.6795787499889485,0.7944908274726912,0.8886870729883298,1.0058111273699355,1.0024418551159913,0.9274719868708069,0.8769990588045605,0.7345451133392201,0.7590480439986257,0.6735951177376416,0.6426926583312611,0.6582285420402764,0.8019229064067944,1.029783716872207,0.8822241939160544,0.7597704924829419,0.8533603955229389,0.7408099372695097,0.7024569789618662,0.6552111203084972,0.6177284644637816,0.5644153415344811,0.6144371658006121,0.5818344652189781,0.8111685623627608,1.272718832475004,0.9155681785529025,0.5918240121959808,0.5708295864594777,0.5964595228410788,0.6363562771523761,0.6757162794420497,0.6928580059215147,0.7151773809902591,0.7419400653796672,0.8569434542883242,0.9401516997941621,0.9310156722670224,1.0273288600686403,1.2687241555266202,1.0420356767068135,0.8790836573764742,0.8375559962025347,0.7502272269516266,0.7970786011360602,0.7721395762837647,0.7596660530103159,0.7406902692825976,0.7041020353150013,0.7446067186486839,0.8204386850578735,0.911475648828546,0.9313547490018188,0.767979267969374,0.9388946451478595,1.1087683949867375,1.0360129215185843,1.144542002504802,1.1793421042986085,1.4565445252298965,1.8773616836656646,1.6756675882549168,1.7005901520909514,1.5187129962184016,1.355101132714715,1.334247075152252,1.5482601257424666,1.7366686158168676,1.2576899483533601,1.1662963927591574,1.0898925050187716,0.9456877277848725,1.1177108345708708,0.9478589464925525,0.8192440460756198,0.9651353183078698,1.0019607707121583,0.825726648983239,0.800392635780539,0.957488116889242,0.8956109729618428,0.8379045127868685,0.889497996957753,0.9283065566187975,0.8874016843400004,1.0364727453583393,1.078739733884019,1.0478735314327066,1.219974360456482,1.2429158736066532,1.122719328519407,1.2070434426139571,1.634133668106998,2.0595494889171237,1.818806310812765,1.5684552585763119,1.5557847209943496,1.610405344282201,1.508453513767042,1.7630964000294325,1.9403502358464229,1.561488335009865,1.542936191142006,1.92584980325586,1.7077203752067593,1.5533490351945765,2.020880506272474,2.0441303451685013,1.6946704281392215,1.5607988939350859,1.2816527087637881,1.2237552936775045,1.3997464643865207,1.2765010339228902,1.2754299713015023,1.3413793971772294,1.219515694854171,1.2047539890886183,1.160276011802716,1.0282594833913985,0.9528826873363021,0.9264608995358479,0.9101425687866768,0.8549459487293831,0.8419842966895638,0.9397535075760959,0.9011552625076377,1.0022059121206615,0.9622172160455914,1.0622211087812619,1.07266312968178,1.155243096090174,1.1601500580153115,1.363680009701407,1.2977650553599989,1.1380111477576584,1.313777158706483,1.4237799527444908,1.3005849785516697,1.2697825156292515,1.6509351697184356,1.6100815337771286,1.2994989285478213,1.5619858962167905,2.0250375713983177,1.8886693478226675,1.4855704779661152,1.2369428861480536,1.9580163221531208,1.6023391754265404,1.521416972702659,1.123150375526482,0.9554709558870573,0.9080571871055892,1.0177754574789064,0.9117494800251743,0.9183097577164607,0.8565505118602622,0.9732647383182984,0.720608392993071,0.838374696893754,0.6442423426680723,0.6774570377661754,0.6975808402047831,0.7982028645876196,0.737747501213569,0.6479916316411609,0.7142579061801331,0.6893391315258354,0.710354227024123,0.9429952590849592,1.1484168301944448,0.9378291208046563,1.402349507412468,1.46635141552191,2.7400406796269885],[0.9137326501739731,0.8036457220670474,0.8433244764407328,0.7301314352540553,0.8464121353450523,0.8938323349620882,0.9287080947473039,0.9767066018834899,0.9834526886640604,1.0106145172037413,1.0354228511109362,1.0003386382074007,1.064037763975354,1.105954296381835,1.1510945674149489,1.1185281797673494,1.1239142082317124,1.166885288324336,1.2464236350631805,1.1884567771315069,1.3366822356533656,1.3176460997344668,1.5779871647418577,1.607798063023888,1.357938517719602,1.2953802120700992,1.1132301141032095,1.1440587130016935,1.133686467638795,1.0877230187732296,1.1846226858884583,1.0717390080062685,1.0882537213460999,1.1402183847396345,1.1306130323865535,1.1613433644924864,1.0903997277809354,1.212312075475353,1.0980222857725102,1.196407697448024,1.1331593283668813,1.1886956445957468,1.244973168427606,1.5125552444350794,1.524314702108386,1.8076460215110457,2.1367996995394627,1.745882196967853,2.0575607664796998,2.5342629549299356,2.504552116536175,2.795435814940903,2.689279933317694,2.8989782672725317,2.30867905011668,1.86554766631117,1.674345835458409,1.636129969584807,1.5109114897570401,2.0291992928596887,1.5945712714346658,1.3266922605186613,1.3150136085542843,1.5142674660312438,1.3809031219256096,1.2924837357898113,1.3954183014533887,1.250183192631797,1.3724578843304447,1.3812241849298577,1.4500135560967764,1.7187674364429884,1.4545707565083659,1.489962370018851,1.3270398487910988,1.2858974950088127,1.2433686483927022,1.2205033045001992,1.2331631017594873,1.233519154932956,1.0951681223186625,1.1248053154305206,1.213013416641824,1.161811111967989,1.0940840200459683,1.0609538918490966,1.10837864665607,1.1243217802520862,1.1662956795054016,1.1573358300914,1.1919858600018938,1.2957620770110743,1.3254761721313382,1.1714006609901393,1.1443158373733466,1.1938898675724088,1.2046294998031613,1.1043602528146201,1.0502943246429517,1.001645583433973,1.0302337006724125,0.9771690117031824,1.0154677842046835,1.0135644921328708,1.372311664974392,0.9203185277563117,0.9911655946606339,1.0103498337967651,0.9212557561951776,0.94351661502934,0.897230951009605,0.9524414208348954,0.9541976659999176,0.9649898658516923,1.0183236385886307,1.03931476464694,1.1030743665502967,1.1610479998300498,1.2925453603552703,1.1789609218538344,1.1879418827819133,1.1330275403472674,1.1141998455121724,1.0420071904061994,1.0151199531314534,0.9722765577842964,0.9732610152274489,0.9635263777668117,0.8900034758397826,0.9803314576426677,0.9551918551247494,1.0069699094964215,1.029579349306086,0.9985022849369277,0.9914478513006459,0.9738415969780331,0.970880775870106,0.9508894773511365,0.9740198639058933,1.0199168954249906,1.1445422581970708,1.297994402591916,1.2024461306924121,1.1110385477702946,1.1282127356568674,1.0955935816454414,1.0645156649345098,1.0270179970855038,0.9852487937067427,0.986324591299452,0.9597627985478637,0.9676506622585098,1.0940635554204388,1.4641144933966252,1.1613934798964287,0.9677888563374325,0.9656462829505609,0.954972479601738,1.008512043143255,0.9611754563234249,1.0118378995565236,1.028710386678324,1.0399408104773626,1.1047151469516632,1.1290780436357613,1.128355221069097,1.176716808178039,1.355823787186972,1.1733979313591831,1.088667577354,1.0234007762170316,1.0102992568267268,1.0331048784253662,1.0302074747235488,1.0288238722570069,1.0295474832609446,1.0247457824249893,0.9975667441923007,1.0402010896691936,1.1092146922106982,1.106526084829764,1.0090849290590813,1.0633994187534268,1.1455323925708933,1.109218962992099,1.2514810162896475,1.3450751675557961,1.6101888660688304,2.0262952755923145,1.7055003257441819,1.6414574515772855,1.5868138731019874,1.3968649860464493,1.3231228307580973,1.438822324124366,1.602105257851015,1.2516574933185662,1.1218857954529324,1.0476606414483762,0.9483517995877722,1.0364259569451415,0.9110159724450558,0.8668877682571049,0.9228286928857594,0.9256543597150314,0.8514554763063292,0.8310650172624499,0.8579217964427385,0.8417870613666399,0.8947161055956283,0.8623073479417247,0.8668859890333299,0.9491446578115025,1.095244269616362,1.0293152781728208,0.9996491252756872,1.0582677602421633,1.0064605053266862,0.9303716908411644,0.9782993933593593,1.2887816470507987,1.8331243803514299,1.4784000455201265,1.4001240888334412,1.345706055932208,1.3689130540761818,1.3125310054914356,1.5336016972573494,1.7500956094001785,1.3773693958141626,1.340919567724374,1.736775598887295,1.5271561183764548,1.3763762395397485,1.7880328481835615,1.8332270886776914,1.5577764944364763,1.434820074194754,1.1756705390831959,1.1228937452012553,1.2431583215489803,1.1124936427668344,1.1216436642166812,1.1531490944556488,1.1752149259225675,1.1711496029243604,1.0589270204641987,0.9618889468315264,0.9661796067216709,0.8760333178729467,0.8627851294749878,0.904765103085883,0.8717810165023722,0.8641554119879192,0.8615902487985023,1.0538949121947956,0.9189440258926134,0.9285030126892948,0.9034153616563071,0.9613505698684612,0.999728963938994,1.1373134135608112,1.0728969526801981,0.9641886222232218,1.116183030673402,1.1997966501798658,1.094948460362679,1.105244054556761,1.4383223981221684,1.4641966103258308,1.131462175960649,1.4018659340949968,1.8254071095965119,1.6973308159365996,1.2862031685861512,1.0335272754778162,1.7353597622573584,1.4171245188940038,1.2504871935876527,0.9881206911943229,0.8493683558920939,0.8921548472214188,0.9811419282495891,0.8828740620958228,0.8143235447801762,0.8446011651692044,0.9243488970282868,0.8429385470343019,0.9227202599304923,0.8727003849188301,0.8464269613204426,0.872820182743358,0.8433323386241341,1.0912604533846282,0.9744335928071218,0.8757841842374681,0.9481815731217972,0.9992595859658814,0.9624141042930732,1.0273750663712695,0.9890413997704482,1.448674144140603,1.5148602180687698,2.6740887140256393],[0.8774302443559525,0.6854852296274536,0.6457545355015659,0.4686220507454937,0.524566871597117,0.5757800596175728,0.5370437612002753,0.573067027980546,0.5888815946831527,0.5302791679248563,0.5552818083813591,0.5302147037378542,0.553745951935026,0.613069841950146,0.6568929831854678,0.5973954361835513,0.6185082002983322,0.6594939332435323,0.7589646679739791,0.6897713947539555,0.8727707950058826,0.9002903217784874,1.1937533802708122,1.2267343195818172,0.9482622152863733,0.8214517193230025,0.6773613063700329,0.6406849657541899,0.61940756947731,0.5745008975313447,0.6565552352770685,0.5490864882655916,0.5746204283194942,0.6282054604779708,0.5984351771465035,0.6442877068160069,0.5865606285612973,0.702867981843006,0.6226803133189321,0.8360835275795994,0.8354693307209015,0.7691784565669126,0.8600747203591425,1.1066350801148985,1.3173268031480252,1.57911450202228,1.9457030300305578,1.412938705777996,1.6763875407607778,2.2673562407221746,2.1257100526528623,2.4358961424051953,2.307923430119818,2.5414086999914267,1.9748499545280054,1.470812410205997,1.327146032162191,1.2805989154832962,1.192910771098241,1.8155952772163788,1.2841993681720787,0.9058517691103879,0.8356495659705582,1.0587028246895254,0.9163212965798389,0.8253694740597374,0.9206210476590133,0.7377115803533266,0.9043193617397072,0.9328031392382969,1.017817621937701,1.3296065946250726,1.0187364416520472,1.0600105042727777,0.8263198570254058,0.9035611805841841,0.7711070310134908,0.7142257649267257,0.7346242234143108,0.7746463728198184,0.6581075935369486,0.7563502924654933,0.8743872499742816,0.9312696952720588,0.8011417755053308,0.6469134804291751,0.640076651141147,0.6853282775744485,0.6745583764146076,0.6831105053232723,0.6900866618846582,0.8224062369087769,0.822049575259519,0.6709436526514203,0.6472939099173171,0.7161258452968239,0.751599971226973,0.6131223575328898,0.5586824780802331,0.5851718250622872,0.5334561440434639,0.5873728687189355,0.5415047348320728,0.55630574648258,0.9447347909051286,0.5506343922712958,0.702855273803388,0.7185818248264957,0.6014245983863794,0.6302441151673653,0.5236578578358708,0.5023630207979396,0.4985404579371146,0.4843850295336423,0.5225432247411572,0.5556041328641252,0.6345151135989511,0.673003400909388,0.8525057777043215,0.6967681076422552,0.7245491507779087,0.6972396323007424,0.6673570114118591,0.5648743602422992,0.5338806209415973,0.49119307082500024,0.5448583556667883,0.5420678434479945,0.534758405679974,0.5933351782042257,0.6680150869782288,0.7444288911819313,0.7662276069174336,0.6729354532354515,0.6602003200593303,0.5863324743602436,0.6483545576099345,0.551740234670164,0.5196818795724498,0.5392642790439638,0.6612721500239974,0.8931858088635082,0.7286070881199219,0.6122721348715772,0.6623836711370038,0.60178054636463,0.5783560431774332,0.5292323734570231,0.49048406272111983,0.5161551471969682,0.556225609015555,0.5707035089361068,0.7898628322682275,1.3561102767446056,0.9889081270882704,0.5513172608494179,0.5132784142957938,0.48993004501881204,0.5228432309663622,0.5300476140070374,0.5449148907738358,0.56935749053053,0.5939964967694829,0.6963934070109021,0.773862146261443,0.7917336692824917,0.8626963900463707,1.1276817246944386,0.9499952113277188,0.7763878422790282,0.6961334049557786,0.6182188574371258,0.6322164348116565,0.6186208050178775,0.5896228412260371,0.5729188570812923,0.5824470591055377,0.5801318839235938,0.6376209742870866,0.6905187734777564,0.7491505649315781,0.59202642029237,0.7301953619792028,0.856630133803407,0.8070251523528529,0.9779825069202924,1.0568391419671566,1.3525776215609635,1.8337430336920226,1.4989583682317316,1.4296673337913197,1.4330501476002149,1.213519560582233,1.145012941409534,1.2936172108153396,1.5167350765060832,1.039303040985269,0.9145685774435066,0.8498985294010699,0.7141075740726798,0.8556023990303132,0.6938369274665134,0.6107932826538226,0.7309175275657214,0.7434492826849091,0.6339819085858744,0.6371953861330399,0.7152766643653006,0.6738701662622267,0.7451559477535422,0.7403576196133453,0.7671780690217671,0.8356286349021993,1.019135415080212,0.9788950102709887,0.9336466156285,1.0451741961744185,0.9822407178986768,0.8607633861593179,0.9306033845288019,1.2726068842415519,1.7717445157687468,1.4348695024354041,1.2975867452841954,1.1964198581934833,1.2200283184276828,1.1813499900941355,1.394969253766322,1.6173463359322715,1.2363768643361663,1.2008931893193227,1.5885866521385532,1.415994789592298,1.2245890070245955,1.6327195071921723,1.6963300035878013,1.455178736525285,1.300929778125007,1.0147518307349979,0.9189804152609993,1.070797582322334,0.9524428053551706,0.9387498766293706,1.0084071882082233,0.9553909178282758,0.9696207548281572,0.9179329304875157,0.7624509327238334,0.756747239005866,0.6834591556998337,0.6887387990788778,0.7417967756916996,0.7047183015886742,0.7191595119171874,0.7394832617943844,0.9423537022618989,0.8086954134563998,0.8340845328645873,0.7965741365619834,0.8309119666871168,0.8196876281627045,0.9789290137754565,0.9618459289733452,0.831483340932963,0.9688481527769833,1.0939440335388946,0.9964318710784856,0.986194408597425,1.3221453192365074,1.4094373251213401,1.0631478075602647,1.3263327840987884,1.7755211951738095,1.6815614887144605,1.2497827648076432,0.9574540551075276,1.6390975903491378,1.371947788423509,1.1998495670977791,0.9429817453434554,0.7557248380329761,0.7811710293485641,0.8831039588805624,0.7559238434590765,0.7468087971780604,0.7103039809676311,0.7793199572473264,0.5875141654705096,0.6616782754446063,0.5387976189831781,0.5611062831194068,0.5672173939665925,0.5825934584210074,0.7677446861137783,0.6472529607246671,0.6308300724996487,0.7181100926017325,0.7090260591172755,0.8147556865184665,1.0017328231059461,0.8430684382172583,1.2782127249235018,1.2918061743558633,2.3482194004422237],[0.8846208960986526,0.6880057646083564,0.6440229050408246,0.48254215204825085,0.5075622922200743,0.5665307359604025,0.5365422557065543,0.5486084176363089,0.6350125377812051,0.5987447195783977,0.6234728190868097,0.5745498582539035,0.5945919141517347,0.6550652014653124,0.6863677798543617,0.6485108687309392,0.6816825768289063,0.7363798600570883,0.8535800586531279,0.7792934131346356,0.9545578380110867,0.9894464717880206,1.2864866007358173,1.2840398017899222,1.0237248794622944,0.9068416553922408,0.7712493877079527,0.71874438129186,0.6756844751965518,0.636364453953371,0.7176870986897903,0.5839968299734927,0.6176966290891123,0.6888668838371466,0.6394132286119726,0.7072294135561957,0.6224442138810525,0.7609407012671277,0.7012374538800631,0.9023946934431294,0.938228430530276,0.8581280398545197,0.9593983255148105,1.2038441683466674,1.4713837825517937,1.7197014467241476,2.06768802723979,1.519643506404818,1.723638041756374,2.3079371421958923,2.160638111548594,2.4692616595162877,2.3369541511135785,2.565841799559787,1.9757963096639601,1.514069789733546,1.4135738688815374,1.3389956302072952,1.270507874343782,1.865185119927839,1.3973085811979884,1.0236399888921135,0.9220217651046494,1.149767134402453,1.0249883091936973,0.9325691470485395,0.9972556445374011,0.8201955134259152,0.9869624496027648,1.0008882898933813,1.082220309202722,1.3851598380109522,1.0910048389049418,1.1318798368113208,0.9033069157707009,1.013421773145112,0.8558726035955693,0.7953756118381342,0.7963586283278694,0.8534193884375395,0.7357176318458865,0.8260630664388305,0.9159919908682516,0.9448753094785862,0.8509893061263502,0.7084806022819155,0.7163464130675783,0.745971216691615,0.7467921007082504,0.7504242402988358,0.7582877649302904,0.8993509844259846,0.8901684681410921,0.739434289760306,0.7073732251130055,0.7780152436412808,0.801515412585662,0.6515674112934624,0.5868150120345353,0.5992636634148771,0.5740005227721523,0.618890700972376,0.564187454946659,0.5622094963990432,0.9138085210692645,0.5513471286559185,0.6716153343634309,0.6735943409159035,0.5786109074871442,0.6305935872688325,0.5026234195959363,0.49508522884931605,0.503150389741528,0.5139461567946921,0.5655938586268706,0.5993738069728978,0.7030087822962293,0.7450956374849967,0.9257488324742844,0.7659090546308621,0.8062753899573997,0.7654070783522189,0.7237658374200673,0.617810824868163,0.5505460253893468,0.5083625911416791,0.5459673630481786,0.533300494721626,0.519389901831989,0.5937158927075795,0.653797320283604,0.7279731689579991,0.7611505506920169,0.6636723163713439,0.6599548032668575,0.6170222524150776,0.661722027281771,0.5970164320813803,0.5595219461237729,0.6023322137609389,0.7713674286633329,0.989404055864925,0.8315389952123585,0.6974004067926195,0.6958194444518738,0.6842285713095483,0.652509693195784,0.6000936413133944,0.5196043614683885,0.5306723160469478,0.5835095431630064,0.5745457924386146,0.7869961924445837,1.3831058457336423,1.037101182638027,0.547733067385043,0.5370134753255636,0.5098132727491449,0.5426515942304327,0.5437764315565546,0.5837374123887847,0.6202625115855116,0.6529660199227562,0.7545433294760908,0.8159119638822075,0.8130473734699702,0.8874494469002644,1.144649055958755,0.9734882316855445,0.799908657726596,0.7170630013253755,0.6574775719822523,0.665385121611527,0.6524425454760809,0.6281264353600003,0.594968119221594,0.6339136693169176,0.6413314119577269,0.6764963985807649,0.7131306999672532,0.7717078198429098,0.6042336922206966,0.735510007667873,0.8592182607894394,0.8188452277712392,0.9992046041364439,1.101398251948407,1.3973152772060404,1.853303801705329,1.5190615955340563,1.4463448919586763,1.4765740391942639,1.253739830178773,1.1781539886982144,1.3155600979627249,1.5334435956655923,1.0235897553549738,0.9001910066422847,0.8308441003595577,0.6861586181920825,0.8174510541428565,0.6616796510738692,0.5883753438916891,0.7052536453942683,0.7164636810517799,0.6260435102275956,0.634598158172852,0.7164637238297843,0.6848777912997773,0.7747186245538894,0.7676389350712883,0.8032019347306966,0.8761570215897637,1.0563541419416633,1.0288515807060674,0.959226560929773,1.124946857039973,1.0473813062256663,0.902712222872227,0.9792524493624185,1.304851619597649,1.778662800799747,1.4588498602826352,1.3161483313966884,1.2097974241381955,1.2124473835377494,1.1519179183464259,1.3674528637677015,1.6017703161333536,1.2086765361257,1.1742011974500897,1.5691095290988597,1.40322686546066,1.2022857872356574,1.5903441340164217,1.6905072800909386,1.4487411235909897,1.2891055636866287,1.0008908166935075,0.8964429806966675,1.0295063924255556,0.9124567788792586,0.9019245968675778,0.96060163780454,0.8973879850944455,0.9057691043567426,0.8674040830188801,0.7048688554578763,0.7016227400077523,0.6533856600226718,0.6825769949807194,0.7556090745640597,0.7214223488848766,0.7327786700337446,0.7725501496914774,0.9806791902422387,0.8375065225823561,0.8658425161808908,0.8180373588625467,0.8292277149291051,0.8061261127392206,0.9748842840148979,0.9560779064899944,0.8273301263651003,0.9553562736849591,1.0897241688493784,0.9989562674432204,0.9758599306127451,1.3140555328182837,1.42509272868291,1.083060160298166,1.3444289762703723,1.7595827144676646,1.668558314310392,1.283508004791008,1.0057867654435717,1.6257168413599932,1.389448527956867,1.2389684300781418,0.9804458720769912,0.7885234813500254,0.8030366611297407,0.8898640676709269,0.7834678371147832,0.8037893485071259,0.7506763586954411,0.7991632723358033,0.574747084783251,0.6390609539973463,0.5142462030451551,0.5735454974865442,0.5641597132927383,0.582387934067571,0.8087097640976026,0.6419477888742153,0.652159111104841,0.7339185505085373,0.6953385429406873,0.8045923870353021,1.021241878328543,0.8342270657777432,1.22979903137547,1.196513730615319,2.1260904074335283],[0.8262572866061234,0.6989321699316473,0.6339372546318488,0.4781740795391189,0.49413403901571396,0.5352232794812185,0.4976626001580001,0.532245901703289,0.6221119891927497,0.5889485927784642,0.6162426404664603,0.5577972442897401,0.5851962301651361,0.6556404856222742,0.6895901998560069,0.6338689988441728,0.6682565184852696,0.7245550171701582,0.8414044301921025,0.7642398028795988,0.9320383591992645,0.9579507937307989,1.2466725035022548,1.2551502855069363,0.993337206435882,0.8938583461929216,0.7691063983851892,0.7004078393706342,0.6662664658129487,0.6204056486742723,0.7202093032177457,0.5820606808792147,0.6051722253786992,0.6831972882220797,0.6398595035848392,0.6983952384122398,0.6113658329473831,0.7122631409816631,0.6701115820396615,0.8562290685283797,0.9185188071029338,0.8322390081048328,0.9321012839903107,1.195872360200948,1.5141992110691125,1.752662923596594,2.059364901463798,1.4930380859159225,1.6790703069536734,2.2485024623936316,2.03923513679852,2.4040500329205767,2.2608493960970106,2.5087645975538497,1.9208754245402695,1.4375836602683045,1.4083918893704972,1.321414367963671,1.2697272429096444,1.8623451960992026,1.406654958388397,0.9939218975545825,0.8971465872836579,1.1306413951019565,1.0184533683508803,0.9191614566718495,0.9751016494769192,0.8050480579104757,0.9773249889497453,1.0107479022680914,1.0573810528456373,1.355160711292983,1.0863428941627051,1.1185785300246762,0.8887162900826108,1.0599136961355236,0.8498825866538924,0.79216424472429,0.7915058159856394,0.8487611257270122,0.692623074333698,0.7833403878951657,0.9303838443541473,0.8613071184092532,0.8004663154835995,0.6895197285218518,0.6790794388805923,0.6918533425241253,0.7384762305145558,0.762894958147583,0.7523339378523125,0.9143382460708188,0.9217937947454373,0.7533929245603159,0.715209751738173,0.773895714943926,0.7877421311294891,0.6443572749354093,0.5801053459341714,0.6174202844710684,0.5592177396157507,0.6217103956984072,0.5670608749389765,0.5598710114505789,0.8453335701727299,0.5364572515442628,0.639473272007013,0.6273194051144421,0.5333354974794083,0.59841199766634,0.4463583278638697,0.4501260360335958,0.45053350745731613,0.4729377720703863,0.5620415707049768,0.599185492856759,0.70274078771214,0.7214676479479261,0.9045463617875125,0.7702206454662769,0.8083807423769575,0.7740975005469269,0.7257703303281691,0.6054569900326068,0.5168452382589315,0.4473143333216668,0.49081328361873333,0.4864897433065323,0.47777217193195115,0.556056304751383,0.6093178149202085,0.6705653279548858,0.7238188469073266,0.6127865944854002,0.6219774202034164,0.6353157469991121,0.6519905570678669,0.5849009179811412,0.5419637907911751,0.5930273678046616,0.7647038557640701,0.9853599282248191,0.8166327961728788,0.6784307293444818,0.6775692699171046,0.6570528649697719,0.6262602817218116,0.5826359912415318,0.4814744637778415,0.5198834395737855,0.5230901776236443,0.5704132237963774,0.7958201149778631,1.3839302791090182,1.0854460341109848,0.5562540107066255,0.5242777294858849,0.47683567841608543,0.5489017891345225,0.5329905048011816,0.5479132425688561,0.5868438060036636,0.625391362773858,0.729753428563351,0.7675587912312817,0.8224145933451701,0.8672639240250182,1.1600750907336757,1.0373327649349338,0.8449508021309676,0.7182713968076103,0.626771751722646,0.6283105522624436,0.5941687653280385,0.5734499389460289,0.5770903605840776,0.6272972388156736,0.6409569488419139,0.6363919332480804,0.634243411061184,0.6946978273428335,0.561808757903146,0.6730688730472626,0.8109066751024386,0.7688401348574317,0.9322402850241517,1.059992231156509,1.355597310641985,1.821224605938764,1.5150303520248805,1.4150503755213806,1.5069182578393412,1.2662227200765228,1.1539817156329764,1.234630049419367,1.450471877143131,0.9611029153864781,0.849893443478326,0.7950773323084074,0.6445955662423413,0.7824471611154753,0.6168096081051155,0.5568064443445282,0.6718305021155195,0.6785915816427699,0.6009090019321821,0.6159465515890948,0.6996647072249311,0.6682132701690229,0.763583025015884,0.7561454687693644,0.79236542665329,0.8675832464608328,1.0322918804633718,1.0110655563509825,0.9624496969942202,1.1078642675343637,1.0456878214651628,0.9072755266444645,0.9650489937625714,1.2546286102208983,1.6554211318759637,1.421304695354254,1.253415160924921,1.1282026172453006,1.1071748040511091,1.0702173601463376,1.2729411151533037,1.5044686180444167,1.1402521024436163,1.0924676356629048,1.4418945694051384,1.3421771103976607,1.134118284109549,1.4577016591326213,1.5982066739607796,1.4143542185474605,1.2296977359244823,0.9722807032602216,0.8401197288867841,0.9493364467684425,0.8375830029547644,0.8312888907384202,0.8812059025007083,0.8335017090796802,0.8297104208352567,0.8111344250074087,0.6487056809501656,0.680545120011597,0.6156734837479615,0.6584143865455676,0.7553092189684217,0.7051973720703343,0.7032709779557542,0.7731720058122956,0.9943832265639038,0.8353376662886163,0.865413034285774,0.8122588554788042,0.7853158475448265,0.7424897343269306,0.8835371442812532,0.9100523495180343,0.7922709789256235,0.8934883203113864,1.0379944312265812,0.9678681216290113,0.9397372009351133,1.2427912588374566,1.4053980134461859,1.0845681039813078,1.3188893736759193,1.7034194050043796,1.677481080404032,1.315037110099303,1.0439324852105525,1.642055354174176,1.4388190773583367,1.2306632433565332,0.9966956477468265,0.7996536478618758,0.7860325920677952,0.8801024002632271,0.7704545479366658,0.87664354568829,0.7850213459974154,0.8046364671576881,0.5634587676334041,0.6103353338040319,0.500333692551398,0.5695752662034825,0.551322436001524,0.5966586209266409,0.8643509037797609,0.6362395450664492,0.6771742178610802,0.7575840064942004,0.6822455658569611,0.8083761288222443,1.0254778220293073,0.867812895337634,1.2345603494452673,1.237204359665312,2.109267131035082],[1.0432799542050717,0.9245552792351276,0.8551925941290598,0.6424729572688879,0.6105099986852612,0.6273778955452092,0.6119836714742967,0.63950803287938,0.7274847686420625,0.6999770768694874,0.7424878613267897,0.6883252431365373,0.6905136933505146,0.7567245083711901,0.7909563505578878,0.7208095678891739,0.7551953753916342,0.8071611343656528,0.9430703546055978,0.8557746009353309,1.0272770466831922,1.0533043672447653,1.3221590501224545,1.3519784529782168,1.0780313246511586,0.9918906539281657,0.8682291098318178,0.7812478633628004,0.7395574194672334,0.685233025990613,0.7995230694350638,0.6559733923158889,0.6843865963567576,0.7532570885532882,0.7123698305839739,0.7644013534785983,0.676098340941842,0.7865868078901389,0.7315241303471774,0.8906090604926334,0.9726630609262986,0.9192455040743778,1.0010204572650707,1.1668804005330826,1.4898966191481589,1.6757498126626902,2.0057048635283077,1.4418360277645805,1.5833185409102937,2.192365033022605,1.9653890334103015,2.2854569918444003,2.158916048029804,2.383379308999961,1.8805441153416254,1.4023043845462657,1.3769882211935651,1.3105756245206788,1.2752817882856735,1.8346311185705289,1.4299856567306768,1.0476590800602887,0.9719778902783429,1.2363161443528288,1.118982772065563,0.9798561950357205,1.0398420039493566,0.9109263118450106,1.1010904674863269,1.1245370500396934,1.1583959977443197,1.4838356139662539,1.2092744968559253,1.2401271799718812,1.0249034499578618,1.1295462121681046,0.9519852381731502,0.8891727545962435,0.8659283940513074,0.8981651233262234,0.7579680015093597,0.8311674885121295,0.941245928728706,0.8885818535461646,0.837771820104909,0.73538968089396,0.7464727881163534,0.745001017076622,0.8062011140559845,0.8228659670750685,0.8296761924245165,0.9890801423144481,0.9995976920821409,0.8393975024179997,0.798619165651891,0.8684517111459122,0.8594729718986679,0.7399010877659356,0.6997447842611986,0.7451567064129628,0.6577798170595336,0.6687322178603567,0.6349123473473021,0.6206747930880174,0.843210279903921,0.624030981963615,0.7315591492786726,0.7265990037491531,0.6400187304495313,0.702139467109325,0.5734070258405092,0.5553810488016123,0.5611370840622237,0.5540890679302981,0.6760794304330746,0.7041017689705916,0.8034763485536419,0.8157245351387862,1.0156347136686716,0.8730216172833171,0.9135867596528967,0.8637261708727738,0.8192350058288147,0.7054334535211273,0.6278862124679025,0.5301143872654621,0.6075495701660613,0.5657123517623021,0.5791875054526824,0.5831338482384291,0.6868079564785694,0.7594972698526689,0.7712018250104311,0.6482843114724449,0.6586577679172259,0.6482424819407202,0.6581842065993581,0.6375205705624513,0.5909724227488352,0.6375191193428632,0.8120692399811879,1.0494863126015606,0.8736450040008026,0.7305310738576951,0.7624736286579302,0.7030009170815775,0.680257388805119,0.6595976624956986,0.5681391770378721,0.6176029660239727,0.6218505657119163,0.685833805686396,0.920920136514227,1.4551480645549555,1.1522529483603436,0.6731564391366264,0.6241493814550605,0.5758894189867901,0.6177451064978399,0.5964628430863463,0.5772434774627716,0.6331551511463818,0.6516910328824249,0.7314515049118494,0.7718808283367374,0.829928284924986,0.8500884711207503,1.1369856807176535,1.005910572671327,0.8158457748977164,0.7080635904055259,0.6386149700067152,0.6328728616827919,0.6105932090046723,0.6064283722878641,0.5912480002533717,0.6527300837935879,0.6689572223720711,0.6631297804922214,0.6436466179145256,0.7244330970144321,0.5798333854164245,0.6841902936100509,0.815832055551965,0.7895625530145808,0.9666131569072657,1.0940731505310302,1.3642177451719462,1.8664396996746873,1.5503788428732252,1.4141463173959676,1.4985239546745237,1.231951489005553,1.1601872579298755,1.2686284550873759,1.515079726125635,1.0215698095247694,0.9538662448963625,0.9066758692349285,0.7630390752770766,0.9522639008520251,0.7966183162098058,0.7160602270694872,0.8819656304374377,0.9145504244943001,0.8082172979411486,0.8372366293511302,0.9742925168859183,0.9335958073052372,0.9600422544977331,1.0083534075276797,1.0760829783690442,1.06472985597937,1.2378940863089345,1.2628079552855798,1.2125470258545492,1.3886577293898916,1.3756317811935646,1.235733132071438,1.3181538346011235,1.6353473239236505,1.9515920836487866,1.7930876772185327,1.5607417173660831,1.421323304685224,1.3882947086159845,1.2728277470469564,1.4874173773825357,1.7159032870375972,1.3504284023259465,1.296399787124587,1.6555964350518628,1.5481691011688086,1.3180919401285869,1.6195646176119585,1.7706674630433716,1.5928094881530765,1.3552106467745588,1.1232522576274662,0.9626863893116329,1.0985575012357716,1.0314966913575119,0.9770399907304104,1.0620430064323991,0.9860591861711836,0.9980736056456083,1.0201923425617956,0.830843040315894,0.7978032502262721,0.8283692287021495,0.8850274238196212,0.9295192029686169,0.9059685906972256,0.9661314303985065,1.0223517810198446,1.1908053194246138,1.108088205137383,1.1715787246360523,1.12346580407363,1.1007051033222202,1.0272614908741846,1.1901639286713397,1.2325700279248375,1.0956173691411322,1.1822317223048096,1.3507747689246805,1.2796711246068606,1.2004064350791175,1.5267689915559801,1.6778036647008463,1.3541112343267758,1.5819352030401215,1.921649231923036,1.8841292632293052,1.5596138037870884,1.3168135136362245,1.7742348966972104,1.629853661032241,1.5309154292824407,1.2550891827685977,1.0675714740168218,1.0254346882420138,1.0946739884610264,0.9681618493671086,1.0952205427056523,0.9801002177356988,1.01373551239989,0.7145519860464906,0.7182637455647636,0.6291156535915378,0.7270308178231147,0.6671524331319986,0.7601167437796512,0.839491029682136,0.7099366894506828,0.7931425608046879,0.7706853322263719,0.6998586621239764,0.8773089566087262,1.1468907294262853,0.9970046098712901,1.3739947240043142,1.4525804999912775,2.1010873173147893],[1.0505351779260916,0.8306686317884673,0.8161047845552188,0.5684632370289785,0.6166800793691603,0.5585196183656631,0.5304157102725459,0.553591977450413,0.5705133643317064,0.5178599207925176,0.5354829227429297,0.5524899814606079,0.5305940523147106,0.5432751605713593,0.5773116678312559,0.538170849307778,0.5840353030634207,0.627636917464208,0.7401412284191854,0.7072325142710586,0.8778896412267194,0.9312580634499459,1.2105037093966742,1.2516008089316315,0.9927833082962833,0.8508867183487365,0.767090372150868,0.6471840515543443,0.5950307564127421,0.5607174027654911,0.5914988242120642,0.5225545326321169,0.5449123239718275,0.5795073836635691,0.5618650890393424,0.6305329519404586,0.5745405630936434,0.6737873151230982,0.6902908383302045,0.9252793287254814,0.960360224337834,0.850163866842741,0.9412671000048375,1.1199266343854153,1.3919126897339336,1.5622777461905555,1.917663666759383,1.3769387296008548,1.592862285183282,2.1963590209932327,2.0156232742481244,2.2940675373259736,2.204840817608654,2.4170147184874646,1.9463982125247192,1.4548433514514092,1.365602906938306,1.263678881360018,1.2348020083292346,1.8905970585749639,1.357360849770599,0.9729387558494604,0.8322600531924402,1.0536884024429678,0.9338141050263591,0.8413485616548193,0.8890648644790663,0.7010882026551503,0.8669232107953354,0.8951355679229808,0.9624912868607596,1.2575447987348398,0.9737866214896258,0.9943199959257503,0.7837009685993452,0.9648525730383195,0.7570009408589117,0.676734031449554,0.7081812739511464,0.8071294215339911,0.7180681624633496,0.8428598965536238,0.9711238278064726,1.0526627582831747,0.928399806128047,0.7305528621461455,0.6735995257132686,0.7349354617839706,0.6783696301439776,0.6752290784357766,0.6384736751734023,0.7922204309659266,0.7614846562905907,0.6102076602302217,0.586213835953301,0.6553238742070212,0.7133111995084515,0.6008298615409381,0.5492478143478403,0.6225909322372747,0.551049956954521,0.6399113063164478,0.6091307178510266,0.6390710742701786,0.9165024373911471,0.7137623720831326,0.9076993567940649,0.8710275448413772,0.7799586098482384,0.7974856130640912,0.6442866024385018,0.6125706620575067,0.5436762736011684,0.5370422279049315,0.5380035568954796,0.5859855017134216,0.6699634653948653,0.6681276031956752,0.8339150683143326,0.6825121465986488,0.726388690247972,0.701261510731749,0.6688668773806274,0.558357173858125,0.48674138334161654,0.5354130031484879,0.6067511716725416,0.6264968590865962,0.706553986553242,0.7350927619153951,0.8565871852406081,0.9491732753498842,0.9400735901560988,0.8304075127440431,0.8177937434521353,0.7495299314576365,0.7998678283032259,0.716695191973821,0.6061651621931189,0.6033123938582335,0.698932248787372,0.9012291054290118,0.7386830380115758,0.6381853488362748,0.6978754189147004,0.6259724308675053,0.6094687341989178,0.570424331190873,0.5596513791639793,0.5348182146574281,0.6363507970999192,0.5915843823682642,0.8497584203333853,1.411467769323562,1.0769718381433024,0.5770928417134236,0.5270901176494152,0.5735687493004167,0.5449374248110619,0.6261086778632735,0.6402895534921281,0.6310966894266022,0.6709909181244549,0.7756405278361468,0.848919415569665,0.8916316952817405,0.9590598399696235,1.2157762618825638,1.080434451233798,0.8888097661170099,0.8273857211175173,0.740512185063584,0.7478216408641604,0.735683715786755,0.6902073378455099,0.6453459019789705,0.645382413750072,0.6966450252854565,0.7484395717282154,0.7484052972384766,0.8660168230904551,0.7069892977140543,0.8625170457328695,0.9845338387010277,0.9360541203464473,1.0774256263558795,1.151793173469912,1.4033327576620191,1.9051410966417466,1.5820294144092983,1.5016287722652428,1.4971930795154955,1.2985284137678093,1.28949982024572,1.4584475095878429,1.7034530067420945,1.2069424668088677,1.133790833201436,1.0793823415262862,0.9273188743298285,1.0710936308506993,0.9128759165943597,0.8266803874283338,0.9662624535030917,0.9765123299839975,0.8525455810104985,0.858511090013043,0.9685933087756586,0.9135930906631847,0.9095334736193766,0.9366367134252493,0.9853821713283204,0.9651289050033335,1.1333558928985403,1.140073937466473,1.0993368569927475,1.2868405902854536,1.2597508771668493,1.156486721092962,1.2227837593710231,1.6159745323310832,1.9452132070309196,1.7475054942737465,1.5515016621643365,1.488901843155338,1.4779596985684043,1.3722767730975352,1.60802078414111,1.777984361569081,1.4389335524665527,1.4341630207375144,1.7968682977824544,1.642878449727903,1.447050344152151,1.7835752122317803,1.8764622017758092,1.6839688819684757,1.497779434297534,1.2537535709132643,1.1331132814908358,1.2806008363985886,1.1819281899723644,1.1272647846106918,1.2167273457923278,1.0753078167723442,1.0964143045468993,1.1331550331870748,0.9515092068055728,0.8938539473319911,0.886293354077337,0.9088812031184852,0.9190482698916952,0.8860783364573889,0.9495618106022353,0.95971949464428,1.1049117195181433,1.027098362560517,1.1052365688432702,1.077274611731403,1.107975926743273,1.070431866486183,1.2543956778631578,1.2318746060503027,1.102222350044604,1.2263232254216685,1.3675416388587565,1.2714683822111499,1.2444172995836802,1.5534538340095905,1.612541304432531,1.3378678644297437,1.6093113794172829,1.9498473311448752,1.8658841995775914,1.542057355674019,1.2608768980638034,1.7745781952634527,1.5344651485302585,1.4371157675476085,1.1355345884752424,0.988162802971801,0.9332642510829139,0.9836905508773262,0.9108045354501638,1.025638070071788,0.9525404636004361,1.0347550724550212,0.78489146120929,0.8531935242230502,0.7174010929036837,0.7408690033999692,0.7188572155586705,0.800312582007203,0.7791279261761214,0.6905020548276433,0.7596732388326944,0.7282987701419243,0.6507763195523465,0.865129546808431,1.1534388775245228,0.9184571844493118,1.3042872710219704,1.3778704176607606,2.0953311121999567],[0.970619529041705,0.7438493561669227,0.6795398333028186,0.48230996392950237,0.5016231648136708,0.5077800583571543,0.4421436354057852,0.4648013078144122,0.5165994664278677,0.4581521285591875,0.47703237363118417,0.48676032042645334,0.44910697018069473,0.47339070217647095,0.5102048407425329,0.46265295345289753,0.502789989518739,0.5248027978436901,0.6210827380714516,0.6013374085386458,0.7590968626848245,0.8689712414921194,1.1094534076904348,1.1866259838358215,0.9250255001575706,0.7608827868198568,0.7000759177054678,0.5280741180438204,0.48228715609326156,0.47289022007680204,0.5058187299067659,0.4389892730104511,0.4721369402431005,0.4867704981333397,0.4785319508365993,0.5346019541384524,0.48551953051038027,0.5889905649558812,0.5494376952918032,0.770813306904921,0.8496591326848479,0.7857239574776376,0.8464577137114222,0.9342049606506854,1.2090852624392392,1.3837965450782812,1.6697624352163252,1.1478580657466357,1.4217887130246385,2.0214797236959243,1.7277052129146264,2.079317713901651,1.966452964692093,2.1663657775070155,1.7892570177945977,1.2183660436240686,1.1830141071078144,1.1470910007423925,1.099815234386739,1.7162799077040252,1.17705267874246,0.7952514071126285,0.6845390628775355,0.9409463803079677,0.8209690446934579,0.7007349253642778,0.7631583896953782,0.5778297526084184,0.7429750487938006,0.7855563943270407,0.8566876660439138,1.1609056271877922,0.8512115877362876,0.8910815446812125,0.6874072217432262,0.8388787049498578,0.6387221822391792,0.5679066009569576,0.6161420339620544,0.6913157899022154,0.5841873689032473,0.7191712848338888,0.8512416516611704,0.8722918683615507,0.770920253666574,0.5817210777440723,0.5565725281767192,0.6061329432149015,0.5768992787360069,0.5713613400235165,0.530103668863202,0.7026817247955622,0.6897766488943818,0.5324467616010385,0.5085258451850738,0.5776710459527185,0.6461850139875458,0.5296084220340259,0.48571953086966135,0.5609144392583814,0.4746138938392418,0.5590689733449257,0.4953169915710299,0.5262365716198673,0.8163207829474852,0.5498091860187642,0.725251875597202,0.6861582851621686,0.5771940279197132,0.6433523038431436,0.48226764169221437,0.47147475270876554,0.42928867033768925,0.42287762781741023,0.46566943586328685,0.504298974223617,0.5801369064600923,0.5660095165650606,0.7278345885825492,0.58291736773081,0.630564404349211,0.6212986310367244,0.5796153829617253,0.4745196597820449,0.40928296647670565,0.413469962321915,0.4997370568676375,0.5018746074985783,0.5291473631020042,0.5500515653703458,0.6467116555426088,0.7177452595777535,0.7260304824391217,0.6189580569641673,0.6266471102840725,0.5897492633685656,0.6330893219101451,0.5790901209810896,0.48501829644419675,0.48975165900877615,0.6023220786034623,0.8170593322104681,0.6230507335770343,0.5144987184498206,0.6311338921803106,0.5129372581218303,0.5065778879407152,0.4952808236603406,0.45300285141795704,0.4624157202602101,0.5338805914515912,0.5051811331577276,0.7797799408296014,1.3635713063473753,1.011180613103402,0.49087442130588893,0.43212699181258135,0.4535426630662443,0.44335551253090794,0.5025135261579192,0.4905668938349838,0.49536233566695564,0.5148046982081759,0.5875566012744021,0.658151592618209,0.762573665570564,0.7897207971275753,1.072863688149862,0.9666050307285108,0.7530284749493132,0.6484849777116749,0.5698281614312627,0.5615525765379205,0.5506376714053393,0.5256133712214277,0.4909034339161915,0.5319818362941514,0.5655207517091279,0.586767734142279,0.5854450508492249,0.6854548071872076,0.5267185837965354,0.6405746293486327,0.7658401454994315,0.7492210994220883,0.9132826756177159,1.0355215637353863,1.2741264521967277,1.819401070443385,1.487245602910959,1.333800007421925,1.416668980049251,1.1304629777032364,1.0845580444670686,1.2166525414138551,1.462087921806194,0.9700736844487603,0.8881373272555426,0.8371628723100625,0.7001923534447502,0.8425607821161271,0.7013659725394281,0.6296395437569517,0.7526754831144341,0.7619021410753828,0.6844210307911998,0.6968918369416383,0.7779333146955792,0.7464609329140279,0.8234457572154695,0.8172680729256502,0.8487353355733477,0.9087496093632497,1.0741881661960426,1.055920198928335,0.992254654182259,1.1310532676241687,1.0514226176926762,0.9400089737028905,0.9939951659333888,1.3280714337031603,1.693073678373074,1.4612593683812325,1.2964886904716497,1.1787630049144437,1.169010269372915,1.1365590047036058,1.3105962861105345,1.5294299137602245,1.1924127476693147,1.1547320108305996,1.4890757175141665,1.3704305797291003,1.1831266377279488,1.513005883021747,1.6229257736192089,1.4425057767334621,1.2957935483567462,1.012583851189794,0.8890566250718998,1.004511499259533,0.92817119706964,0.9110059854916465,0.9759745537429593,0.914597042509093,0.9303910265135062,0.9047545384312499,0.7379771863659449,0.7328954830628953,0.7087450238522791,0.7465784451270098,0.811214837522948,0.7757569560128991,0.782641674746819,0.8273986287732125,1.015772329005287,0.8845752409192228,0.9053482481100467,0.8613856483583765,0.8623946167596915,0.8428945591184785,0.9732591942240373,0.9687212812406458,0.8709401664660241,0.972669211168545,1.0918813819292932,1.0151832516037809,1.003013899393977,1.299719684503956,1.4099235134634993,1.1138186906071244,1.3837029959072435,1.728349657818522,1.6742401544651655,1.333083971846418,1.0690068922103497,1.6324268577558168,1.4261379104019893,1.230260121402327,1.005062265972566,0.8448252886339922,0.8624927547753235,0.938113421881895,0.8336046645642993,0.8948696546523061,0.8307034851739303,0.8628898704249142,0.6245565008702199,0.6560531996319626,0.5433940351503108,0.6022912584322265,0.5772912823507651,0.6357882025675929,0.7230126148553531,0.5961596869227385,0.6519549198721685,0.6653019748555903,0.591116060901809,0.7977491370858645,1.0658341845830557,0.8367209680774675,1.2587417713559146,1.2963618508713046,2.125672102322535],[0.9313532062784278,0.8665126653154367,0.9122116430000895,0.6647758778504087,0.7512931708488272,0.6577764740947594,0.6767127496097556,0.7197271336876859,0.6966003615668407,0.671821687691483,0.6799065464467797,0.695468508254382,0.6768380464546331,0.6784558533126198,0.6950402075131608,0.6922988917486718,0.7282626911200362,0.7061004017969036,0.7331709109449202,0.7808018537784022,0.857376327533249,1.0160522943990087,1.1454359335093265,1.22181476268852,1.045952911024147,0.8846817273101792,0.9354041924240261,0.7107425349077453,0.6987528473148618,0.7081423566003064,0.6991325904170007,0.6949776974436732,0.685863017632249,0.7011695326103329,0.7134946250234047,0.7291730300115482,0.7556836685313587,0.7923143275768906,0.7632373403507356,0.9030099909754403,1.0323079956373742,1.008272273660954,1.0398637393044314,1.01467611739217,1.2736832196801928,1.4342841802427124,1.698661466185649,1.1848681920905713,1.474989601942178,2.0736253462527743,1.6690279919407933,2.0168000119200498,1.8069419010558774,1.9831390502880453,1.72792261628825,1.123343080928135,1.1673129208905269,1.2046987676948848,1.1708203167717885,1.7595045458948468,1.1660070709284753,0.8665593804584428,0.7765610078050589,1.0173829733590767,0.9385645417154997,0.8057827490284009,0.8506286822456868,0.7279919909690257,0.8264050962013965,0.8401444153244716,0.8968192317412966,1.1831423915168346,0.8858027050654346,0.9736655937435933,0.7885058814577305,0.9801051587808485,0.7809438689722408,0.7456217147549848,0.8111886877332444,0.8425808565967734,0.8095820799168157,0.931685642884352,1.006193040065832,1.042740000067274,0.9798871208354379,0.8128859856085944,0.7945588616901946,0.7990763506197529,0.7755494826916702,0.7840645165350292,0.6979153060721025,0.7818437518583959,0.8319342973078677,0.7202470095420074,0.6962748352052036,0.7346971624414884,0.7391014805107895,0.7119318600858535,0.6969246007801566,0.7641558021287248,0.7071676469677285,0.8159925641883552,0.7366992547691572,0.7992664327851444,0.9064340654699066,0.83715771327081,0.955151673760707,0.9602894512991836,0.8617807500934769,0.9082822193050318,0.7626964878295492,0.7524676634882931,0.707749234241143,0.6853995441468812,0.7315784282534025,0.7451875394848632,0.7694460761345729,0.7250652813256635,0.8253809467054852,0.7460559302721188,0.7688392018952143,0.7811464348515935,0.7454013537256893,0.6944806440574218,0.6371139234874756,0.6799195548937796,0.76267387813788,0.7675189756571292,0.8326265393427245,0.8351247496837518,0.9336037749541608,0.9808970209637191,0.9697813679651626,0.8663175985481246,0.8836515301459342,0.8438206844818172,0.8827477291250628,0.8253976092943137,0.7354262346902991,0.7220303956295586,0.7112888206787571,0.8881948010856636,0.7198750372070487,0.6979160179400485,0.8617775697944142,0.7008253299865514,0.7115458136261406,0.739400245945579,0.7271011781840477,0.7277746660986681,0.7374340213463524,0.7845519842532942,1.0412790658388287,1.5300036488325117,1.1669741811826966,0.7563962292866235,0.6913642622723424,0.7120085155224756,0.7069827478767781,0.7640813657300634,0.7403663662312048,0.7197302184929211,0.7198048506839725,0.7667038494257232,0.8310532096169719,0.9443512867628259,0.9735223904250633,1.2383784748751638,1.1889904483895102,0.9675282072780594,0.8842872648182707,0.8003021896766669,0.7875568626114786,0.774094853357094,0.7548182287554069,0.7379999437420853,0.7538585826729479,0.800922873462568,0.8085301444802021,0.7906658667182875,0.8862525009237627,0.7723796684844332,0.8431283558222795,0.9384180854768585,0.9334858745847534,1.054288824581559,1.1349948486357258,1.3255939512700612,1.8770594507289544,1.7062378409615042,1.453275999237464,1.7058568800577534,1.3262033756597837,1.2928665629165026,1.4197431581390494,1.6425338285068791,1.1261459363791562,1.102851685590533,1.0585866364143326,0.9384390286933517,1.0713734126222052,0.9295360586637701,0.8598895796318937,0.9747873998410995,0.9697669046614756,0.8662760931212482,0.8835149417254036,0.9756570488124146,0.9266938503088459,0.9432056781609645,0.9489662040188478,0.991111485507857,0.9931431041576692,1.145468601677728,1.1312632221954986,1.1078702875550257,1.271617156880484,1.2490902795540604,1.1591473492485387,1.1983530775336724,1.4607711127840415,1.784074164660061,1.594394099401962,1.48120253757033,1.399186483209274,1.3741429946734174,1.3290277551579817,1.4799566734405267,1.7129045359274495,1.3898282440673826,1.3374075432166073,1.6274948072526794,1.5500694144639342,1.3822372464509083,1.6613993624741656,1.7611806453007341,1.6326637266127049,1.502373107700554,1.2475326823471329,1.103947897886439,1.2026884974713494,1.1136968665898292,1.0885498232637627,1.1517526980578314,1.101634053006217,1.110165939198487,1.0668744095772893,0.8844883276726617,0.8456660057490076,0.860251079873248,0.8964103076979991,0.9467830662781731,0.9053982664559858,0.9496564233522027,0.9919987697109569,1.143769844859433,1.0451630384225625,1.0893053174371623,1.0537848567141876,1.066102184630783,1.0319309916161645,1.1765259740086091,1.183960208609734,1.079698345642083,1.1869615412932644,1.310376438272186,1.2416379800369381,1.217076729542692,1.5058404080031595,1.6499789810552636,1.3507144181125494,1.6028815432500652,1.8633542564450394,1.8249117126534768,1.5547424929445701,1.3228081473279094,1.730133076519063,1.563481496897265,1.3929521599296213,1.1698383404881318,1.0245956239863894,0.9703518266409903,1.0223808987989944,0.9740739151010085,1.150238469754015,1.108011493756755,1.1254031915137312,0.8580151780615665,0.8953061405299976,0.8554991548949866,0.8614805272653312,0.7997496449250593,0.8734364367111135,0.8702691718762774,0.7668516850511281,0.8334267759410441,0.744571050735354,0.6652960676883473,0.8524113603330846,1.1324269104252784,0.9820397382373431,1.400449294331464,1.5681782364973216,2.1386689727462604],[1.1118370419869374,0.9797528702183297,0.98365563512394,0.6949643903928031,0.7561506542955004,0.6853132354088712,0.6465582381137343,0.6981748309850891,0.6935022365966147,0.6035284023389381,0.612174652211181,0.6751959259609882,0.5773331483370281,0.5905859771492153,0.6086870142980243,0.5667817823122884,0.5593539650790351,0.5431047387382638,0.5804409170425936,0.5687411062018719,0.7154029493281305,0.8475478247512712,1.0566358584320246,1.1421500427792757,0.8904171990436387,0.7249733799505954,0.6842051810601432,0.5062691322361097,0.48208285917104315,0.5209658290907142,0.562940902790708,0.548321522396235,0.5724688381415535,0.5494579636951411,0.542716391908571,0.5451090744683377,0.5534239678072823,0.6218457779347262,0.5499954725464331,0.7544473164862371,0.8269232743819392,0.7895449361058696,0.823990459268231,0.8630389918921145,1.1206982985875253,1.2972061387348002,1.5783743046824796,1.060462960410631,1.3788198107981988,2.0036211370060264,1.664787770922918,2.0006306215553447,1.8691984352809345,2.0301444249334195,1.7529692343985281,1.1552218393520344,1.1172266038335996,1.106135669688414,1.0703989437308052,1.6525089358502645,1.100299679071545,0.7178548019528016,0.6339777253094646,0.8874197887347175,0.7690294003578575,0.6523858796322537,0.7496012032023901,0.5642092143642009,0.7305698829815128,0.7767929313845185,0.8642962249570378,1.173264148537553,0.8499033659722204,0.8846774820867935,0.6992591814097979,0.8783695625796638,0.6254852385355404,0.5805348053959777,0.6139092788724279,0.6492063819217065,0.6066830552834939,0.727037300729924,0.9013834410477611,0.8747501250644946,0.7824651873168232,0.6020963186474725,0.5867070081161009,0.6437712754672299,0.5784451694723374,0.6117774006259289,0.5657413887323021,0.7395494118942665,0.7513953259095763,0.6235625138493008,0.6145645518401364,0.6830364193217658,0.7130646649995463,0.6387013857563687,0.6319841331364369,0.7245609436610193,0.6109279312913402,0.7685082297243319,0.62963095951676,0.7133081509656864,0.9336739466390235,0.7427107021272208,0.964786245446337,0.9305247530271528,0.8534637587799471,0.9015311391664753,0.7577728576725077,0.665894517487778,0.6376171053143297,0.5553414347047111,0.5772943575116259,0.5579864515248051,0.5863179688287593,0.535248555208685,0.7034745299559626,0.5879847877143276,0.6295471298160186,0.6579039471021434,0.6198777378639049,0.5588457650276683,0.5375382608311762,0.5527266709488139,0.7160095369014374,0.6860076151656935,0.763716930179824,0.7548875847636997,0.8734858978573231,0.9569591648175898,0.8913860430449031,0.8057890614656938,0.7795812751070894,0.710950747770323,0.7450354269567578,0.6618882923922076,0.5596998952004597,0.53457761563738,0.5723390728351007,0.7740897697690894,0.5908593495318929,0.4988429550737094,0.6585728223094532,0.5214897649590696,0.5340167499521815,0.5746222312831016,0.6010480438085,0.6522751205709935,0.7177392943930915,0.7422114291719588,1.0171733387000927,1.489775490196291,1.0772392357691563,0.7279996598717452,0.6161408300130898,0.6489081469096674,0.5983012458857694,0.6783731515120791,0.5955217128748453,0.550193228635292,0.5411514334807398,0.5869159312853046,0.670456598285206,0.8034692872099879,0.824276796265755,1.100143513650348,1.0285949116626214,0.7906280798333426,0.7174157263603038,0.6197128177570059,0.6262791756158441,0.6415255132897385,0.6069153232007524,0.6106438604518605,0.6052804075325918,0.6608768802113436,0.6579410145668462,0.6768830853437076,0.7712610249361515,0.6816295632225291,0.7799494983266305,0.889171922348062,0.8454013986870832,0.9440631038409827,1.0392568148617094,1.2453606938179507,1.817325396559505,1.4593853918155189,1.3067789296635062,1.3787790934719757,1.1468534412924316,1.12999077632689,1.300374844559287,1.550264033836542,1.1234101716975138,1.1257286224996295,1.1125472631815803,0.9875679345020075,1.183486924823243,1.0436400876141225,0.9433307759768438,1.09684919952076,1.131039667709455,0.9971053670759409,0.9984698060736688,1.1459180901562884,1.106783620852876,1.0744363127014898,1.1153436600109954,1.1799492873100639,1.139729731491346,1.2936885600566146,1.2930502711915628,1.294401192913614,1.4765645205437812,1.4506038173272382,1.3640533249790705,1.4234715433487952,1.6957479575230388,2.1389306537504345,1.8391655187212488,1.730118270282987,1.653940639410222,1.6332852771896862,1.547085255110526,1.680738679062215,1.9348162531265733,1.561631713322629,1.531816403421084,1.866905207506163,1.7494285438564252,1.5407606609736195,1.7889508431672483,1.9184690913695253,1.7689655777975217,1.56353537538599,1.3497575147579606,1.1860887867227878,1.341753596494747,1.2832256202825938,1.219431542286665,1.3259291803802866,1.1859945982668534,1.1897888480411867,1.2476356079963586,1.0745171252863979,1.019001895780552,1.0399796831833095,1.08160872861784,1.1001268777375453,1.0705573398033572,1.140235462260257,1.1763949896687331,1.2926740688078595,1.2305913867686935,1.3042581991506887,1.264271721266778,1.2932842066353119,1.2431426207997898,1.407933715825806,1.4317572249693686,1.2884655563055736,1.381486587446993,1.5334874051731022,1.4523839309043174,1.386919017527283,1.7110126888062043,1.8126370120053377,1.5088621767507286,1.7574374140418423,1.9972247010365034,1.9428144046776152,1.6867277293725673,1.4454127018750438,1.8125086503358074,1.6759613882266617,1.5989606460496173,1.308049213963715,1.1768935990470741,1.0908097560284677,1.1138447269077494,1.0682209643558642,1.1866649477424156,1.1178204055271255,1.201043861396199,0.8883174454258014,0.9252792070526654,0.820573287879291,0.9161857652516527,0.8735363312676988,0.970085704192802,0.9267688432866164,0.8691548321201956,0.9511262676948543,0.8596224328899663,0.7681628159459715,0.9643260598022991,1.2578034419684312,1.1333409287613831,1.444290775971258,1.6555956363210484,2.0800539030148397],[1.086097763007812,0.8150835536962237,0.8471098124588247,0.5732413112189739,0.6985349621424224,0.6227579641232589,0.5962984877815056,0.627847999609912,0.6265810492321676,0.5577728038432853,0.5513524519570837,0.6212329141716254,0.5644028475418128,0.5617194866210413,0.6019876401214089,0.5711324572740853,0.5900015982858755,0.609176767301292,0.6801316306816189,0.66708284234274,0.8144799531382241,0.9219355566217278,1.1279129558453864,1.2186424864968208,0.9882557487865662,0.836121732111941,0.7522938130231529,0.6262788192344274,0.572395261251872,0.5896166233352825,0.6035923025784687,0.5754614225144167,0.6087071768783872,0.6044488395101558,0.6139347748892383,0.6367393021551422,0.6196336453082737,0.7207364930936888,0.6706754531494258,0.8526006752120584,0.8830521955291125,0.8707261697186743,0.8889699996894072,0.9044653602656626,1.1072979849410653,1.3083398350103395,1.5384219530352607,1.0817156419399951,1.452060638560479,2.048784309250018,1.6666009220157487,2.001211967780249,1.8626184350499007,1.9975751334057927,1.7643456636957606,1.2031591312693026,1.1662124773948717,1.139975965338545,1.115849036943937,1.6426338325109604,1.1398075605322553,0.8226460582146164,0.7385058326704524,0.9586466580658273,0.8536691768179762,0.7507506975004445,0.8297020937128284,0.6512862402483817,0.7853211090035668,0.809562838979857,0.9247492617274777,1.2023985066490517,0.8802546080363064,0.8980136996543434,0.771870523555739,0.8908527663847935,0.7234229176677062,0.662727025352045,0.6903236418188194,0.7246104840360494,0.6964486771089823,0.8008225601206518,0.9698957233280168,0.9320233280612658,0.8680751875209879,0.6894632669591111,0.682295267961862,0.7378900386621285,0.6618092930337107,0.6650234797075957,0.6354947558450569,0.7932910549540061,0.7604085428713605,0.623491515095167,0.6139001236531774,0.661810091864906,0.6992024945824483,0.6363354335142677,0.6060024379072201,0.6699396169748303,0.6197398776930555,0.7509773787913826,0.6646053901582455,0.7289488243223198,1.0094167945912618,0.7528316274772006,0.9670118893592673,0.9380711549445995,0.8299363942806336,0.8776115780191498,0.7330363218569615,0.6855917268327227,0.641171689436944,0.6208054340186636,0.617909486594888,0.6242999167223972,0.659570878360959,0.6418491345983736,0.7786205199592898,0.640233959847702,0.665116765475157,0.6620592694060198,0.6516154201822545,0.5947494201300284,0.5650406259669691,0.6101775459675145,0.6928445408885179,0.716792529001924,0.7832353068770874,0.8016771167971182,0.9006861449757768,0.9737947166665845,0.9570833117877192,0.8788417545039977,0.8678612158700666,0.8096593232887105,0.8241386823401016,0.7724840724253624,0.6851558021681105,0.6762623557513757,0.7270799269914091,0.8861251954249524,0.7351688451089216,0.6494733991208469,0.7860652879971791,0.6525253618543584,0.6548740336115533,0.6592592876444987,0.6569857967976378,0.6284070992270613,0.7045749435044728,0.649894558385428,0.9234907456783802,1.3981761807577826,0.9719831216936227,0.6475416353230127,0.5777912776394071,0.6404404371797959,0.6208021182982035,0.7130907658441986,0.6836468031282886,0.6648308087881863,0.6800005788711798,0.7132543797372057,0.796692014319144,0.929923045308021,0.9315734510399953,1.1930318191117624,1.1281178304265245,0.9113176624930196,0.8300371984108457,0.7412552358463343,0.7540213137891296,0.7588581538979138,0.7206930997200689,0.6940437816912947,0.6705422881120539,0.7284048261635363,0.7726026191254889,0.779733068934849,0.8764726441906252,0.7630364652146606,0.8955194052683402,1.0068964411925256,0.9627135417480169,1.0398963658936276,1.120372654104561,1.298773068921726,1.8393354188918025,1.45844215817313,1.3245340283649514,1.3956720448147024,1.2053615069910104,1.1889642166006584,1.3399377739493668,1.5570478940636872,1.1641137502688135,1.1186718459273974,1.0619003196232641,0.941411958231634,1.096888643258022,0.9509768844273511,0.8592895426914668,0.9838358972971337,1.001198625503286,0.8654690360530971,0.8529481548754204,0.9802609692828178,0.9295049322977557,0.9180838645724222,0.9236345104023114,0.9669350429182169,0.9605529332291146,1.1196410922003552,1.0831925270544214,1.0644167769478607,1.2333233303379756,1.216405937696539,1.1455739742619677,1.2036346071719455,1.5402234814823805,1.9166534434403995,1.672977818087357,1.5497779993904996,1.4774623058255696,1.4731766289610424,1.4203307189630294,1.573940521512836,1.7992738262132797,1.4503722785714825,1.4257922100502785,1.7416420877008072,1.6330920388130592,1.4510023040571944,1.7395127146710339,1.838264446395071,1.6772424638900065,1.5113788135003994,1.2680348206516434,1.140003497618108,1.275262359544769,1.1846935468979927,1.1284272368243111,1.2184740254307973,1.12068170461014,1.1378905830726813,1.1408503400374892,0.9775375661639729,0.9429698938370558,0.9124094223187567,0.9329828537270143,0.9546806264543201,0.9210276786240108,0.9555160255397864,0.9741502458114876,1.1030942637373558,1.0164043078784812,1.0829682431946297,1.0492788174431842,1.0997284405849148,1.0869163745411476,1.2461964009754651,1.2277479672605487,1.1112575240625668,1.23837561493489,1.3609359052191858,1.2659217497184456,1.24789576240207,1.5636588352112863,1.6466990420111316,1.3447858464352676,1.644030058757671,1.90659815813598,1.8363556899497397,1.5400216564029383,1.2640134921313373,1.7280360121540486,1.5099043872321887,1.382114856925633,1.0913455803132783,0.9735866212856763,0.9122649242572749,0.9445171025429633,0.9166237314448922,1.0219280209530737,0.9946148541113364,1.0819255090789506,0.7935478948943423,0.8716796848850024,0.7805402715129559,0.8067880542703558,0.790087006841961,0.851034738211796,0.8377925084411253,0.804803986653961,0.8143062529105206,0.7598131631730304,0.7123366069980146,0.8769587084672567,1.1680175231009433,0.9998313749990939,1.3294482446773532,1.4702806640089865,2.0587571047872433],[1.0003410534299355,0.7896275388499113,0.8116801363020083,0.5267729260290677,0.6620411259600361,0.5527010404909172,0.5225225423800169,0.5546110706344451,0.5440496734532335,0.46878617871507755,0.46544939560061854,0.5366240548933394,0.47776743435444724,0.4549338751838769,0.4869829274559283,0.4790745419481165,0.4928190770730935,0.4762994909295458,0.5223220546323041,0.5635977877556542,0.6818737201732828,0.837475641632126,0.9958031765723016,1.0801268569490576,0.8945571489756923,0.7134601146836607,0.7000134168620912,0.5036799026912151,0.4656337319007356,0.4989307285645821,0.47983890325429757,0.5059756406242832,0.5202244901771471,0.5018120458778109,0.514337315388018,0.5303683222892959,0.552431382209909,0.6148410092986027,0.574163508394753,0.7565431853788515,0.8651787296627675,0.8180977898121407,0.8278168148128568,0.8427390423359428,1.07456727204985,1.2884291756842736,1.4812852750254015,1.005397053877047,1.444734976856372,2.0326622770479497,1.5522269124041215,1.929232178614595,1.7526104347175686,1.8941983066726753,1.7179164386704677,1.1083859741332305,1.1333905560814996,1.076423937993946,1.0714883073611352,1.6299499036496254,1.0476094583730111,0.7157672165292042,0.605180178934965,0.8208641481034872,0.7271423017719987,0.6334569319042879,0.6894773336177803,0.5117137111981663,0.637612594148917,0.68036596830603,0.7652083522843138,1.0541360461564693,0.7466233183925987,0.7886307404953288,0.6221012757304719,0.8244635277515903,0.5884062126633134,0.5193491555291,0.6010053334927432,0.6610375077804914,0.6197544245764343,0.7551116264232914,0.9315761922027915,0.873235625655365,0.8082684885976906,0.6253763151022854,0.5948961021229356,0.6463019946590502,0.5781076174917199,0.5947123307947372,0.49163626791726267,0.6297101093335072,0.6094740518380182,0.5116645359354359,0.5032796722522084,0.559254262117443,0.6058503201118585,0.536437247335705,0.5240943726067884,0.6447361156627652,0.5417657734940771,0.7005752238659142,0.5897097459335794,0.6811602443014869,0.8978386134675501,0.7303330967497197,0.9219007366345525,0.8944761971736899,0.8170383748120852,0.8734038273324469,0.7035597525082404,0.6425022202715145,0.5625786186506031,0.5341151370877968,0.5257950174677607,0.5212218937930602,0.5625139562265031,0.5037704152760769,0.6271221040086997,0.5109261147423808,0.5265081091511871,0.5526507336257037,0.5273621473519867,0.46473044437185157,0.4409729693886375,0.5345624775105092,0.6547106739583679,0.669858370689001,0.7574236934319579,0.7582574873043512,0.8831335566696262,0.9442006122087316,0.9063798087305738,0.8162599487244752,0.8155113870746615,0.7648009419429339,0.7965481993502377,0.6913927089586585,0.5800953666216304,0.5668147599916756,0.5664844794366166,0.7716228741648672,0.5745600341286855,0.5288277277011176,0.7182682854503615,0.5342642299884026,0.5364936652692597,0.5615618724281431,0.584562247692926,0.5594289837524443,0.6483549804023215,0.6033379320904817,0.8972429343658844,1.4339640230600632,1.0295491554712661,0.6132110464715586,0.521570936244816,0.5804084108210119,0.5416864329609782,0.6517590223515886,0.6142627129804228,0.5762415571550279,0.5888161186371501,0.6252358097089619,0.7184309530209954,0.876534820499841,0.8828360587162591,1.1600948556746933,1.1291867771831954,0.8971621652883145,0.8013289796330658,0.6778996983517523,0.687908840202892,0.6859166015034969,0.6442927125353326,0.6402848901971879,0.6055678346440994,0.6931514486743038,0.6975725659220416,0.6880298956255277,0.7957353832003959,0.6976785882770565,0.7893769061505496,0.875361353753092,0.86926134584187,0.9656426513831321,1.0405551726226132,1.2455601747594778,1.8083841313342583,1.4952312104599446,1.28056150768482,1.450824811696736,1.180760599875799,1.1762773904973092,1.3210204924248483,1.559318829297818,1.1079187052662216,1.0911499570804382,1.0560963212617092,0.9278261729577584,1.0689687149016505,0.924639286604067,0.8469126795678604,0.9642277613561767,0.9622259359943099,0.8343834181478217,0.8401635503106217,0.9530026035700916,0.9010148943002867,0.8937282234844426,0.9053953864411126,0.9521801659458624,0.9527413100239237,1.104610732918184,1.0867951142944494,1.0597440135734224,1.2293256634804073,1.2100125245136286,1.1307965258551544,1.171352353199708,1.4668509455959995,1.7808340787153571,1.5836329744233903,1.4799331273487997,1.4067863521037447,1.3777138505594144,1.3157183856168366,1.4773080249455188,1.6913879919041037,1.3661585836936898,1.3438601104735874,1.6240052072637468,1.5548146590553116,1.3746044333006484,1.607785796004667,1.7353927135637486,1.6212412303624704,1.466513233899697,1.2394071199247894,1.1055037264639018,1.2088158974388705,1.1114867625212181,1.0679556948929174,1.147095800167326,1.0751330789302285,1.0898616062505513,1.0871440392280978,0.9146340520544086,0.8768549347061161,0.8635638151468699,0.8960069605991817,0.9387250920765945,0.895989398489886,0.9275180939806232,0.9599694126274595,1.102478999626369,1.0073117063082346,1.0612419140326819,1.0251996237317609,1.0493947892722535,1.0274474653194565,1.1793259789384762,1.1667039333218567,1.068127675166399,1.1792343965366148,1.3015301610857848,1.225001710677204,1.2099333407563586,1.4886539813770787,1.6196263324433247,1.3409877295994932,1.602746633963673,1.8373565653736132,1.8017010537303582,1.558251589887102,1.3066234572326878,1.7374217079885044,1.5535554626019892,1.3748601074696123,1.1129648618207002,0.9755572262973938,0.9111610148038944,0.9461392750951554,0.9134504304064024,1.0917072644499959,1.0374983939448685,1.0848128815294897,0.8056243864604151,0.8723100953441527,0.7928153961366161,0.7946900030473923,0.7723347006655162,0.8386844697469193,0.8177025034338471,0.7332139283711239,0.7700098742330761,0.6973065200503837,0.6213760378240271,0.8084482423769017,1.1195956414820276,0.937611262826008,1.3145224730475018,1.4836620833838978,1.9894715487976091],[1.4696327844751143,1.2214972127090953,1.1305276638776558,0.9881116596710614,1.0067927931105114,0.9965394693918246,0.9319163476811997,0.943925159126445,0.9568856486945744,0.9006120296095874,0.9331630996183824,0.9632382702482462,0.9041733050736133,0.9106654721076152,0.9233243239210231,0.908527535228564,0.8875594071049202,0.8558536160476258,0.8622013589319871,0.8931738028470196,0.9430276346251627,1.0810510187329403,1.2061765139744576,1.2759881758065255,1.1105143189384328,0.9715685241678325,0.998198404543525,0.8538165125605843,0.8678156537061671,0.8924787479483045,0.8899566100666519,0.9434747487347152,0.9482776265837474,0.9245517122044217,0.9090273988953962,0.9003325907507986,0.9289996662815431,0.8729374628034327,0.8533689572941252,0.9334711084552713,1.0625096820472233,1.0513237833728684,1.0296851452233529,1.002706188571774,1.1864499427407147,1.3765615542781413,1.547072669030953,1.0990702706924689,1.5215970297750818,2.0877297736703624,1.5813339920482052,1.917012367614716,1.7606370313914763,1.9233167434511995,1.8253708204267454,1.2042685745838126,1.2237124253237843,1.209133635680303,1.2082947842061549,1.7408689331710006,1.1736782186757178,0.9538138269456268,0.8928028391455132,1.012742292230791,0.9499168190856191,0.9018075036681664,0.944297949647687,0.872654858182813,0.9267487206214859,0.9625779178233215,1.0241442539284447,1.261634445145022,1.0105604447218155,1.0602819348074313,0.9312650937795107,1.1302621277285811,0.8988339820080582,0.8705423943146863,0.9351255125371669,0.9501680129552732,0.9277687375206339,0.9979973491099425,1.129741665740978,1.079059563832084,1.0192645346179696,0.9098052888073865,0.8975178274983466,0.956813163744874,0.928495521685656,0.9965800086028777,0.8708906064370128,0.9278413002161217,0.9268743754143679,0.9203165803248278,0.9191634794600487,0.9482297460757594,1.015156276495796,0.9635561798674719,0.9712982979954041,1.0876326547395625,0.9432717142414582,1.0102447720248524,0.9515468532927679,0.9885762969146703,1.0684815702425539,0.999231548011958,1.1343505146882664,1.0479352215463111,1.0393834479116661,1.1200260328206106,0.9988831899150706,0.9506889529214572,0.9047303348572144,0.8770508087224471,0.8979296479275285,0.8847560695201606,0.9235540157748211,0.8538925492919354,0.9317397144926517,0.8718677905274259,0.8770494563037889,0.9138561694463295,0.8835318866512576,0.8666688436072625,0.85886424085511,0.8733653736093753,0.9803280017754551,0.9456176435275186,0.9986883597605982,0.9694800821345733,1.0319272996086621,1.0737222154278476,0.9955303062729173,0.9510318024544585,0.9397069160730399,0.9297164462228241,0.9515057972081675,0.8823210309352401,0.8275498869982192,0.8214565934148176,0.8049809473247246,0.9663820780836349,0.8273527162609572,0.8185778581756993,0.9709729671879881,0.8262673391513032,0.8392986533460276,0.8842967647201804,0.9105615766499099,0.9167242912470902,1.0039751407900417,0.9970124752869794,1.1775233143356254,1.781940313901912,1.504015497889467,1.0415899376639342,0.9679680667985109,0.9565732324906615,0.9125597052342165,0.9474036868102358,0.8962852760681479,0.8604162393877242,0.8350241591438534,0.8562169518737432,0.8916553482729017,1.0176764479363078,0.9899779028280434,1.232230885905403,1.2031905338205202,1.032505915036763,0.9394744376567411,0.8697610892922982,0.8758607600467271,0.8949446265116419,0.8903042690408787,0.9185506668113443,0.917762150259343,0.97344695003342,0.92459702942363,0.9248641014130651,0.9752932812465943,0.9123683880080123,0.9019969221944603,0.9328950541795141,0.9663764206241119,1.0696251544661661,1.145205202680843,1.3325773358882649,1.8708832766269319,1.559775406288722,1.316917578773115,1.5058754806116592,1.214522878063574,1.210097743685177,1.3345388631877102,1.5595694605582722,1.15584524373358,1.1600424367880624,1.1739714548643174,1.1019388499087106,1.217612026250026,1.141383410090558,1.094354822645382,1.1642261790363149,1.1841890208881594,1.1170917714503728,1.1276795536814914,1.2117340217562633,1.189424405272838,1.192168973848369,1.2155233093230213,1.2816796004593516,1.2828881769716716,1.3871038878636783,1.423285851710727,1.362647019435866,1.5364326906825811,1.4811813081817098,1.3820552232879968,1.4309781566470243,1.7043577475897473,1.9703480718154713,1.7761421338308734,1.638356749844784,1.5552487600243297,1.5029500954470998,1.4033980191811755,1.534194269449497,1.7421509722406074,1.4409073383258277,1.4168957805519105,1.6796866703280104,1.6037069015661234,1.4205819355080644,1.6050655309183322,1.7419582851599171,1.6509267632753244,1.5118078558854586,1.3297953279905093,1.1941983082961793,1.2908576570470909,1.2512528506089153,1.2102977421631782,1.3017623865181462,1.2298877499384155,1.2543097185104113,1.2831785935631335,1.153899404078613,1.1212253627468036,1.1339562964882435,1.1895482654424385,1.2190670886446158,1.209941905481849,1.2306315998017443,1.2596105255924859,1.3659214231878367,1.3020952867938123,1.3589985399540179,1.299088756651915,1.286789249037779,1.2532421195843126,1.3629623719971102,1.3575659647537779,1.2862328820798685,1.3550607489792068,1.4633368148005288,1.4059076538209,1.3650017884523147,1.5957586266041832,1.716351383421352,1.5037341043665955,1.7059279137005006,1.9449908314121602,1.9171537840955288,1.718882502242662,1.5083880827606841,1.864602092546306,1.7173529373375145,1.6018528754360544,1.3819374841886123,1.261867053422077,1.2532041452341685,1.2519665543956717,1.2054397302377011,1.3125178049066786,1.2158792600793724,1.258357350383211,1.0624708195070727,1.0735202466423923,1.047653918703217,1.076233041574249,1.0545551379534832,1.1265708719753804,1.0580752193061929,1.0116437937931497,1.0777008034908897,1.0244902870410797,0.965451707001569,1.09864328716648,1.425541245432654,1.2177828262848998,1.6121618401044322,1.88143788267533,2.118314243120281],[1.459917000489569,1.055545787706557,0.9778569266675826,0.7612300580705573,0.8545531907159697,0.7850467977913139,0.6946825046349349,0.7175941149176026,0.6666659725013298,0.5620553489217804,0.5558187459581326,0.6548978981512866,0.5969148318384785,0.5333122521995229,0.5615406009777998,0.5862171790719108,0.6190567741956229,0.6076351299969833,0.6520787324897168,0.6783726490857782,0.8065398603018415,0.910608098868787,1.0930807523960613,1.1965627797960887,0.9898614494835659,0.8336670342530045,0.7762821129801343,0.6557985645900393,0.631039704732617,0.6625987116384511,0.5927277937330504,0.667944711188415,0.6841283035774682,0.6654629317647364,0.6722115207352972,0.6918834085927382,0.7136326554347121,0.7609040688123833,0.7656447553008092,0.9123036195358138,0.9552703673158079,0.9110078864684229,0.9326034300093075,0.9993842905275263,1.2181519750929388,1.447761059771405,1.6407668887868185,1.1967397287155506,1.5886063508622097,2.203628119404976,1.7504416522279698,2.0179890410712873,1.8835258705994489,1.9481540702746623,1.8481645056429976,1.2856945008560008,1.243390141544221,1.1500374475463568,1.20248396184961,1.649328425280601,1.1512423365010716,0.8674740757586731,0.7473905435666044,0.8839032818768695,0.8295022308924401,0.7627760027413165,0.812160158583803,0.6256155071410203,0.7195576823922165,0.7526124122613421,0.8507236611761229,1.079709430027092,0.8239765528741517,0.8333349039022258,0.7131483024927336,0.9019371321088694,0.7207239669653392,0.6655325521168558,0.737714190509186,0.7825256336828075,0.7744095309318809,0.8857066585772606,1.0646057587798783,1.0319549378011044,0.9710288631568885,0.7919723037051605,0.7465290436655699,0.8193071577525366,0.7203125841641049,0.7396504684199733,0.6276750886651715,0.7066196320266559,0.6579613565542235,0.5848287506924328,0.5877577467688382,0.6036055505297221,0.6808152828034392,0.671780562376746,0.6843418389989434,0.8271830685592088,0.7253208256550931,0.8538704825770549,0.7883028382517993,0.8748005429988275,1.1302775886528569,0.9342032066797328,1.1517412558116624,1.0692505615736703,1.0177233666936867,1.0618716648066562,0.913519528954984,0.8337174180256652,0.725746404439219,0.7171366068418141,0.6377749862459796,0.6313756841624076,0.697355883873433,0.636958147992891,0.7349048614296381,0.6277590215681974,0.6130351668776043,0.6390509001783742,0.6139256045376672,0.572333129413058,0.5945550603737535,0.7146302964415666,0.8003370216322433,0.851396987481723,0.9450025636085384,0.9826618344519567,1.0509030849977308,1.1343871272266213,1.0833287673327963,1.0297590249491702,0.9916506325981302,0.9418664657146222,0.9662824984545891,0.8628118234803628,0.7305409607852051,0.7444527725124089,0.7110024440925736,0.8749777580707734,0.7261631962105802,0.7012597163931993,0.8152649214852814,0.7083252162284784,0.711199615238448,0.7258976229858847,0.7600528122849065,0.6818902296713637,0.8816228806035856,0.757038165170942,1.0459173763621241,1.5066916382821751,1.1090197925660912,0.8028752190296504,0.7111166391809245,0.7797886846113159,0.742298988252307,0.8646731886489843,0.8059184932694573,0.7528915503224728,0.7927914569099578,0.8391812747782561,0.9129871781792378,1.014344678567639,1.0413244924748404,1.3032002884857763,1.247370642017237,1.056989941445238,0.9557868640959408,0.8732994263566175,0.8983848323212948,0.9154110355405907,0.8644272858172952,0.8588093571846965,0.7980841765336664,0.8862541676116585,0.8977906546752757,0.9358154139728716,1.0380225906004654,0.9271718691479367,1.0321108301035258,1.0995678598751448,1.0667320523798252,1.1383592788888737,1.1590026551736095,1.358285635878844,1.947500009763252,1.4785249942289422,1.345978766972961,1.3672526252011876,1.2312072487746912,1.22949756933872,1.3826450124589664,1.6018107935606067,1.271898232527697,1.2563215854381304,1.2417571819007074,1.13881189372009,1.281261495225443,1.17776820524088,1.0894900293186736,1.2005488653206258,1.2387118923759932,1.1095342327936994,1.0937852702493773,1.2118477479953567,1.1833958442883639,1.1444953905727349,1.1773910320446423,1.2395922334325575,1.2193622347016164,1.3636186039845715,1.3430952877442952,1.2945527782480095,1.4983411568055525,1.451483857771915,1.3799272850923665,1.4466831223093797,1.7558371636553247,2.141186773550668,1.84098048051075,1.7412530859438666,1.6697140810419977,1.6416964514859327,1.5498178133429767,1.6894865002626844,1.8969537064308541,1.5833708413461858,1.5539822315571619,1.863551157512806,1.7475396137283448,1.5563631267752458,1.78976068065175,1.926506316782432,1.764764037000934,1.6183096219921493,1.4121786883518224,1.2865486681098166,1.4163994697046631,1.3412328843352774,1.29219258093982,1.4043165717555721,1.2706667500529203,1.302147697979063,1.3428712064339092,1.2144151573020923,1.1623264828071362,1.168945648872754,1.2093617843705737,1.204052097972839,1.1926820002085063,1.234023235034945,1.2410811151509271,1.3053468455401962,1.2771563428916428,1.34635635832583,1.31411215858454,1.3485772444624744,1.324494157312987,1.4601212852300358,1.4419272128008576,1.3320985353068335,1.4369478936039293,1.556855241570217,1.4707569346716067,1.4491172533041392,1.7199660885163632,1.8158228209660154,1.5394402941842884,1.7879020544063502,2.033818566628612,1.9504757771800383,1.7266311479223564,1.4887961539849874,1.8443634042878525,1.5926196307088192,1.5484293390517407,1.2683320298099676,1.201806066731643,1.1224864276099173,1.11149322695059,1.1152340685792315,1.225245012960763,1.1614768602724423,1.2519275776934848,1.0180013890502417,1.0752738925648189,0.966557665666203,0.9925192391098914,1.0055397077909476,1.0777093168665204,0.9800465773597897,0.954313235670363,1.0027918767104214,0.9463913885979557,0.8733190561752365,1.0525990671252694,1.3863729936028466,1.1741585744217566,1.4496544866179681,1.6943092630494818,1.9942503317267222],[1.2146330735048474,0.8623595285913368,0.8647511569242692,0.6510396071476091,0.7328047244105701,0.693257607340252,0.624912953204553,0.6263112367228613,0.6569825650102015,0.5809567316551983,0.5777063960143608,0.6649932367790755,0.5938595572990805,0.5503815764436483,0.5822194829293394,0.5970026633653532,0.6409189227735429,0.6443287248485032,0.7145223435748022,0.707972129814479,0.8005513650901852,0.8561711879285882,1.0499500917660283,1.127288603921282,0.941567505871246,0.8255223447551601,0.7828531948783666,0.6872970434653713,0.6593636618620381,0.6448538845667479,0.6155936665594065,0.6574179679370569,0.6715596578251538,0.665166314960143,0.6615628663552849,0.699788331806442,0.6918333139561582,0.738188132653167,0.7524241001011386,0.9007694169878607,0.9637543333864875,0.8656669386071811,0.9106876096144066,0.9702988332941787,1.2773445269423709,1.5186609026637625,1.6758884783044379,1.171745590961094,1.5530344824931797,2.206787439396196,1.6909880590984985,1.9807256745336208,1.8277601052839139,1.8927464187462726,1.8106000204150186,1.2528087163267345,1.2769859695809933,1.1156350637430785,1.189996990202624,1.676721994704331,1.2100272261772482,0.9119361083451923,0.785586005180854,0.9064036406372833,0.8646392203807938,0.8086314084384267,0.8121015676912441,0.6698137879541283,0.7802139322739083,0.8150254382830356,0.8937001380921804,1.1254846946751778,0.8925380436804544,0.8903363817970187,0.723011328091426,0.9035426509559209,0.7220770732964166,0.6704468113095766,0.720251158804889,0.7984846798046428,0.7728175282857579,0.8659600795644969,1.0555752435313523,1.0184924547325669,0.9448319870362928,0.7677098402809381,0.7204208237938652,0.7881435130563736,0.7118934057508138,0.7343792462046937,0.6431723459520802,0.7261071688268365,0.6768103838257828,0.6050313642010757,0.6014398808324583,0.6346880416150732,0.6866096573808729,0.6302153973443555,0.637422329509082,0.7499246957330457,0.6690548387698784,0.7646781184820604,0.7256302293404355,0.7784243044113134,1.019095594435857,0.8241897707012158,1.0441832144307737,0.9710550391707933,0.910050985110082,0.93002459868428,0.7958256755181007,0.7453621255680608,0.6490559448132882,0.6725941683207747,0.6412304231916257,0.6557405556633583,0.7358118547634326,0.7089283513234285,0.8003403583551567,0.6849709442743653,0.694168483484538,0.689113153232771,0.6714576922818114,0.6193638634644165,0.594939881746814,0.6687280176632412,0.7156848729335735,0.7729434371515226,0.8389898372078904,0.8644625502717356,0.9686537293941835,1.0420092061117725,0.9803629610988768,0.9199774106428645,0.9036374783446756,0.8471361247997123,0.8664797678220503,0.8061962896611453,0.7165064878932879,0.7304800099974271,0.7395693222345646,0.895049222179651,0.7571537953155192,0.7121764342448076,0.7795367644476991,0.7135107405812369,0.7136686138133628,0.7066670606216267,0.7165942552128617,0.6195208916480694,0.7744287471042707,0.664046867843806,0.9324335285768258,1.4271747423541938,0.9911102936755466,0.6903313905736483,0.6419455881770983,0.704656504167995,0.685738150764729,0.7743619950364642,0.7581178077622721,0.7394735562838718,0.7786389543265727,0.8343371677245023,0.8849555568055049,0.9663713238832439,1.0070346614294856,1.2778461964310546,1.2144040181074942,1.0467725316405683,0.9249894501595521,0.841537936811844,0.8505432152983063,0.8531199287248342,0.8183311360081883,0.7823554196613818,0.7586569779993423,0.8382834667161179,0.8598666202924174,0.8752777930075835,0.9586136258739248,0.8260414490644031,0.908877984927449,0.9683394582001479,0.9973388550912143,1.098840871886883,1.1429484546085122,1.3461799639797132,1.9494300473411668,1.4739363135756565,1.3144436587651034,1.338496869087158,1.1697149854443807,1.1786403348110794,1.323052121628674,1.5518279194229825,1.1614446680946273,1.1547852970316264,1.1178599710530301,1.011249943448536,1.1515975037334945,1.0332932800492494,0.9398344249088405,1.0482096387231543,1.0759779507599627,0.937228831318552,0.9153195405371121,1.0582200131975907,1.0146748797850293,0.9841141351507631,1.0038959902824778,1.0595332817893595,1.0365433566761486,1.2050276442461287,1.1746907966193252,1.1573087717726294,1.2991728724053058,1.3013361321361199,1.2366819689652053,1.2952432615725302,1.599165923912326,1.9667253352320853,1.7177157258742715,1.6133042487200606,1.543453764234327,1.513424443377527,1.4500170979619273,1.576743347510403,1.793925047034733,1.468981130999681,1.4417821379461184,1.7224257609675089,1.6320215320588973,1.4577363121686577,1.6889364336985309,1.7890090964834677,1.6757609071310422,1.545135035726685,1.3097162556236142,1.1770930697802064,1.3054081321909372,1.2278017820303497,1.1707297076510514,1.2823072064636394,1.161361727076559,1.1853497064680034,1.2100226993499807,1.059131731505386,1.0120005430381804,0.9923665561815276,1.0197585681652104,1.0318811020231788,0.9991336785193144,1.047871472309994,1.0663510644877618,1.1556622107255636,1.1097866993842156,1.1718263212958973,1.1481733883829188,1.1943915027931236,1.1717341136964083,1.32052016711996,1.315617007509847,1.1980105769965472,1.3065827611636072,1.431904635511064,1.3483771431011675,1.3073817361083184,1.606830874536061,1.726151392988626,1.4246496623997968,1.6821931734487356,1.906570710665294,1.8719340107505238,1.6212937362508266,1.3497992510799575,1.8000966459365961,1.5826021157619785,1.4564619729058033,1.1319470101845406,1.040886599200029,0.9547544702972188,0.9649553823683301,0.963752502192668,1.0726251704912548,1.0475548325117712,1.1211479345809747,0.8511872695557593,0.9435411123600986,0.8430862507178679,0.8629978032182734,0.8602640356420306,0.9453664725528954,0.8504456635559124,0.8164925920607039,0.8790194325340995,0.7939849476094596,0.7544636190861633,0.9329189593274043,1.2555959927151228,1.0769711829679363,1.3764894678456876,1.5590802707870894,2.061269025301615],[1.5411755707029424,1.4036227829944363,1.4283710849568356,1.282821079056217,1.381840277304857,1.290145413907294,1.2290189461288534,1.229758422404216,1.2113010216874365,1.1395443862435684,1.1271597483031097,1.200558679223725,1.1557429053463462,1.0937231105483307,1.098534363283266,1.141365762845103,1.1450401439711617,1.0785187195917054,1.0349640931515096,1.0976416987975937,1.073959564775483,1.1622278610639745,1.1723293980390965,1.2035455796145802,1.1563293602668059,1.068966536504631,1.1313706648982065,1.0883943268954221,1.1154424651722088,1.167881051080379,1.1085369404266638,1.2042536416853393,1.231062792343568,1.194669251523636,1.193325565449244,1.1720731612838957,1.2268718311981825,1.1792256352617307,1.1680214004051443,1.198398361013534,1.2728276720454592,1.2054631628105508,1.207066594614951,1.2199724822064895,1.4059609753205078,1.6443737086924466,1.735660632407641,1.3577311212046848,1.838161449401821,2.3158237953192726,1.8210123688030944,2.155872876639312,2.0034223338067956,2.116716739109521,2.025370979703049,1.5704874960346553,1.6188364073631198,1.353222506227939,1.3946418525264141,1.8669348139266957,1.4016991191502466,1.2376871344739113,1.1518219712459465,1.1340937486668947,1.0672151116704371,1.1367671777057238,1.094089583094254,1.0885309643288017,1.0644302603877802,1.128129129187322,1.1148767467132814,1.2543009398933886,1.1612781374049557,1.1641206719396804,1.090848334488354,1.2607473583062037,1.1255942899932685,1.1057520471726243,1.1778159725439956,1.201382173341195,1.2186378780118023,1.2421123382089712,1.5229357275084008,1.4137970302260014,1.3427807069457385,1.229022595109028,1.1779835841724153,1.2476127107208062,1.1673510776316123,1.2227964287365989,1.1174339371302764,1.1156938550769429,1.0816783924151756,1.1323206438062847,1.1347611185701558,1.1170593170576157,1.1946580211959095,1.1765848089255342,1.218319132061312,1.370468312496326,1.2378674656631505,1.3249452968613191,1.3055932480737753,1.368491592243018,1.5087593656317875,1.4131581819648291,1.5557362593117583,1.436962163935549,1.4515316488023184,1.5350980459139292,1.3956844469230203,1.3376593056095483,1.2441865661637728,1.2316080272093441,1.1507101116704752,1.1177864022460315,1.1324196366637536,1.0273960020680715,1.0579897631696573,1.0591950909389325,1.0287131847512532,1.0847336936413212,1.0645872420840157,1.0827873730180713,1.1367814820058884,1.235651033900393,1.3338398699472045,1.3363424363708265,1.4154338825537587,1.4061883297117046,1.4403908141909658,1.4827247840029174,1.377584952854005,1.3799745747426422,1.328695541371791,1.3047101258260145,1.3331656631061013,1.2047945033852103,1.1109725743968775,1.1024732831556687,0.9462522145090885,0.9808268555222877,0.9885565760372922,1.0704279363042661,1.1642484914369067,1.128948335285968,1.1405729105237155,1.1874480190171801,1.2566424577030353,1.2282098619888695,1.3732684139548086,1.2528339323642492,1.3545262138740322,1.9064565334165178,1.680397615686212,1.3209243106722373,1.248178621235134,1.3116900195108154,1.2453200084966454,1.3325339155471845,1.2781629234867014,1.2155936511703525,1.197451832823147,1.2197911508142176,1.2316032438825544,1.1996213725378038,1.3086159049080326,1.4573497880532953,1.4527302318291968,1.3528353216719422,1.2922194621369498,1.2211043774247994,1.2677819364079874,1.3071158330657817,1.2926307732837163,1.342133819338023,1.297381560706333,1.3710286854576186,1.3164296592072529,1.3370015386968321,1.3774614401424272,1.3438203677763094,1.2993365121188114,1.294668994638312,1.3319971650296485,1.352295643878258,1.338990874835198,1.4991577682242514,2.05864663570308,1.6785997520549905,1.4513441348868514,1.6375867472456536,1.409643537909737,1.446761231141367,1.5493823636597341,1.7451217410075712,1.4782978322940714,1.5038544798510964,1.5435597787558166,1.5051839936445373,1.5612961640916827,1.516744509437233,1.4998450000001815,1.5325132377564008,1.5138471152161423,1.4776705462033721,1.4799431798498217,1.4969531668501963,1.4585397720886066,1.4586642595869228,1.441221282711147,1.4537043090450161,1.45639837203093,1.4883230470038045,1.4845468595185611,1.4702081686553283,1.5706003847384893,1.5730583050191997,1.5505454360141586,1.5352647917667386,1.7834824593161465,1.9002226275642315,1.8183950575678078,1.7389173271296003,1.6887555927761182,1.6358867215566402,1.5873710160994678,1.6770794025410367,1.7965145330480132,1.6258091465470725,1.6499771648755763,1.7840217690719002,1.7537281991530267,1.6487097074554138,1.7541668237695116,1.8488768703182932,1.8293247919987892,1.7569887020757777,1.623814345467997,1.5245845106831266,1.5854621947749525,1.5572084080074458,1.5302230144686613,1.5802395128016247,1.5437895312489036,1.5566631196777385,1.5934087140083943,1.488155119194565,1.4699898300567422,1.459808124974917,1.4845999613088094,1.516143636796294,1.4955722148931283,1.454361093177456,1.4728543622090244,1.5604704357594195,1.4906320565373747,1.5296206684439049,1.4807593662547531,1.4869271267246187,1.4971922090320335,1.5480897918035919,1.496366150966306,1.5072774649082243,1.5698445827604646,1.6184973466030164,1.5708654236012314,1.603152522615773,1.7080074564984118,1.8131345193523696,1.696368950498669,1.8883364156088491,1.9787719193043856,1.9667148911917869,1.8638784586295538,1.7485363738495114,1.948438928890528,1.8647824594601405,1.692031880554821,1.5826096158599363,1.5159356395456696,1.5113332114975544,1.5183329591108248,1.546879799015628,1.6714346501683146,1.6148324625325028,1.6325760602929655,1.483640484489876,1.4975083370576132,1.4656517644728289,1.4422948943061364,1.4364350112993414,1.4770863962085485,1.4117413130098517,1.3588231263242172,1.372296088319726,1.3003133739185306,1.2677766783132693,1.3312391562408188,1.58755479281612,1.379890103233567,1.735012199992392,1.951134731358548,2.1384527239468873],[0.896032843188668,0.7295657518065787,0.7849372678167311,0.5411469950071042,0.698514752303157,0.6082096556123548,0.5654846515988518,0.5828271538418703,0.5954742866566501,0.5174336590145061,0.5108215368768528,0.5996185996493023,0.5606060804406282,0.5150861129422065,0.5527048344475916,0.563520934168393,0.6195348518937737,0.5893080570285999,0.635340245635804,0.6675086107462046,0.7438134614324681,0.872027145639153,0.9934204010600798,1.0572545759245608,0.926892650260563,0.7725429014734607,0.7725022992183932,0.6411320596121438,0.6213407370128198,0.6085814434651396,0.558857427707585,0.6102356789006825,0.6255929923812623,0.6200197817557971,0.6247207099307103,0.6436764001845335,0.6749699842612513,0.7040029857992309,0.7011194288401544,0.8085119880439722,0.9413235266790118,0.8718881427518637,0.8751983944795663,0.9374812006634751,1.1879261696805175,1.437421455948471,1.5810445869414373,1.1144811185793992,1.5726164728883945,2.1098793007526364,1.5988639634178787,1.97077288164433,1.7978529546674054,1.932170590542872,1.761455205191479,1.222769094398599,1.2953697688065176,1.0536656026244489,1.0913789425673388,1.685390204647607,1.135843940340463,0.8631444775789419,0.7149267454551723,0.8370125518008967,0.7771122972823533,0.7452311611913032,0.7669082941916996,0.6364551371248122,0.6983598987155747,0.736621353231162,0.7974452593421997,1.0282928491237453,0.793953033891745,0.8309399177810698,0.6707096196944219,0.900911797953337,0.689192452674799,0.6190462589528961,0.702127073937762,0.7514657477561335,0.7172463497556727,0.815835216302904,1.0545472155863995,0.9595040994255124,0.911594209724984,0.7262426851637442,0.6982161426167147,0.7437925230761335,0.6780006699463795,0.7089102442101411,0.587460633411389,0.6649122280807105,0.6082447483002023,0.5742761740850553,0.5704918063839636,0.5907015066317203,0.66211965307891,0.5983563335587211,0.600129780555227,0.7235987864483919,0.6012004088661054,0.7187008270501466,0.6706817452943843,0.7412198146801986,0.9629160151060923,0.7856150992614561,0.9419538136428809,0.8831409266869521,0.8319390073051064,0.902150600406296,0.7339928874839893,0.7125272307897041,0.6082136557488329,0.6323013801418975,0.6145025445698209,0.6336702613873024,0.693338217400023,0.6409106537570106,0.734661437665921,0.620777148764716,0.6092485150507057,0.632224557889703,0.6185595359482179,0.5625738759233276,0.5373851586387925,0.6368177474309809,0.7054445684197473,0.7345789020827971,0.8020991646028788,0.809300760289476,0.9055657972948814,0.9396249809222704,0.8977314958725463,0.8282187850870535,0.8341449441742299,0.7994227395983781,0.8497267544518404,0.7405266242774503,0.6680787412048144,0.6670360685588272,0.6388329626602245,0.753286667156868,0.6464695055097881,0.6483253433623094,0.7850912836384928,0.6348642730839882,0.6377198715115452,0.642808015617647,0.6630330168971453,0.5971904159957043,0.7145741093855356,0.6254987681225901,0.8796885466985311,1.4149085720972274,1.0593314301229777,0.6644074650873871,0.5946766559411125,0.6445678907536346,0.6229359796403433,0.7153874809368362,0.7129091332786935,0.6670551634703312,0.7105196179048534,0.7543605206560182,0.8177251469311321,0.9134561262336156,0.9491178842313934,1.2098710913628963,1.1769892828954516,1.0102372080334585,0.8820421901583043,0.7756014775765782,0.7831404141445057,0.7864070036262725,0.7492323660688027,0.739156354774052,0.7111146698838765,0.7827374306171382,0.7921698496909682,0.776050965831479,0.8830272538422629,0.7646703611181859,0.7965356080205274,0.8573386619168496,0.9033684897654344,0.9999450091464313,1.0493875486488269,1.2634408240501833,1.8928996210235882,1.48095374496372,1.2111889732674233,1.4379882337768888,1.1608641879271813,1.1498710484217998,1.252410399355938,1.4863252944245027,1.0881383548375643,1.0537064178990865,1.0302644152401788,0.9172931940263125,1.0087153037769037,0.8833885885021121,0.8323036055384344,0.9140328734697062,0.8944313587151994,0.7970614029217448,0.8051627149584291,0.8785785533165649,0.8371731183527806,0.856394631973792,0.8571938443782461,0.8899414297065049,0.9213723759469727,1.0897103680780382,1.0471032335879646,1.0196873433080504,1.145769220400636,1.1047163111806089,1.031853603585166,1.0616053103366094,1.276154776693406,1.60806316519729,1.410571926257468,1.3659186849598681,1.2587759698820922,1.2236847910676205,1.1942928764233642,1.3209557213502088,1.5448343809471983,1.2449314582651276,1.2260800633737141,1.4631857678430027,1.410715667720723,1.2604573790398144,1.4611895055737678,1.6109266079994402,1.5144859872167309,1.4126858607867516,1.1608342407747758,1.0383154759540296,1.1185727069535718,1.027499171629436,1.005516463035342,1.075988720599112,1.0286308419621777,1.0278855424325284,1.0204566878397605,0.8557061253885606,0.8451218881793652,0.8119450560354494,0.83799155039098,0.8912544862041205,0.8465408618245954,0.8653069789034759,0.8989053502409285,1.067164612848735,0.938733830540846,0.9821809908388968,0.9378511187233934,0.940794700971641,0.9217974986226491,1.055575285149872,1.0379411031162094,0.958831878278339,1.0651380527190144,1.1613642641478603,1.1025957117363023,1.1069182671115632,1.3377574213646592,1.4863185105591907,1.2313122112102293,1.4764152365121537,1.6480217831949042,1.6368240687312225,1.4316644725831151,1.2165579803281368,1.6596689004074596,1.507646681873242,1.2648066753803728,1.0690308865457656,0.9146824330619358,0.8737439933394813,0.9294692860790448,0.8849446927524561,1.075641505844989,1.0534510133554829,1.0477998146527603,0.81192787260136,0.8844584020452729,0.8264612934468035,0.7787288523430843,0.7651267952627968,0.8119868389922951,0.8205763560916935,0.7227923414221564,0.738351401056469,0.6684873953562683,0.617230089738698,0.7808930858798169,1.0726116274488797,0.9126346225544681,1.3079645008288259,1.4373357554127821,2.0217952208079426],[0.9490846889713037,0.8889006865955936,0.8713171593615309,0.6103417446917446,0.6414101443032225,0.6214957588488389,0.5912002333761905,0.6140200020136948,0.6446595745944086,0.5709073328525189,0.5789822404864662,0.5895843582320321,0.5629617764795368,0.5541236659548701,0.5742282598805182,0.560410502506355,0.5734765246627619,0.5964010022875107,0.6818985415524945,0.6585369168461714,0.7830890278580045,0.8966154258664467,1.050202846533006,1.1063513869739983,0.9362912432715766,0.8052039110345917,0.7507162508883191,0.6001658845523211,0.5515360087270138,0.5570836136130569,0.5867028723683235,0.5367741881217768,0.5691936850496088,0.5786860075373191,0.5612094789626128,0.5849971209019639,0.5591294571803151,0.6261742093349763,0.6241968891245809,0.7549210013934502,0.913289528669997,0.8368345182157886,0.8665710204558542,0.9020071483288311,1.2615361385126636,1.4033229040190303,1.5897964433588485,1.051004397624521,1.4107240371788252,1.879730884162142,1.412137426285957,1.8506232972852774,1.72464821642311,1.9112458200442668,1.7019596985986474,1.1520304841904119,1.2237528344997328,1.0503787400309055,1.0887907653006677,1.5648166354505888,1.1813165554476042,0.8007458004729555,0.7123514965108567,0.9009731040676353,0.8270181866251722,0.7589682231867318,0.7779868647014876,0.6517901040752745,0.821290001545564,0.8385558482722889,0.8824844131361359,1.1089574854133961,0.9110663399870681,0.9509619844670903,0.7369007122593173,0.9944762394621334,0.6861164740361132,0.6180194114199484,0.629466614756099,0.685995930796366,0.6533808447597935,0.7463187348411728,0.9595073344428163,0.7496838204965144,0.7745707493659393,0.6471151154441376,0.6351702818859545,0.6880364944264882,0.6191036591578783,0.6781464314036257,0.6028010589323634,0.7962465489830751,0.7310078235884544,0.6076114806751918,0.593535382820566,0.6641863096643794,0.6874638457121439,0.6044034196567208,0.5959714900374554,0.7432085716503343,0.6058744975019705,0.7338605012624626,0.5601718692405088,0.6258736458988623,0.7508721696074334,0.6407401081599273,0.7817609475645065,0.7358935790208359,0.6947495982449748,0.807273095998058,0.6281182207059214,0.5707549166517338,0.5732864476992815,0.5320059936553589,0.567390845418202,0.5599798936830657,0.6498172647856152,0.6225112488699124,0.7855531863258016,0.6413325590290672,0.6636375992520339,0.6388767925282574,0.6287172715940254,0.5643573896693269,0.5131335599693613,0.5599547141905873,0.627918693408163,0.6071627752457324,0.6150074127846817,0.5884429322231166,0.708312386977432,0.737281967275533,0.6957969993549815,0.6221703779053176,0.6362246244364469,0.6379050570649321,0.6712923513133637,0.6059346612060428,0.5478179779018417,0.5505891140853303,0.6802135653742557,0.8265317158025796,0.6541321648692152,0.5669822626311347,0.6553560320773478,0.568900790882674,0.5628555501257432,0.5853492588448853,0.5529692823643739,0.6238185762517239,0.6380254533341411,0.6758219591472975,0.9758939821964758,1.5044329198378767,1.1512270387452437,0.6767588024083788,0.6041844626415672,0.5946815178881362,0.5405484164699926,0.6016114992685705,0.5473662981173375,0.5655310214681359,0.569130928509747,0.6220580429591012,0.6720397618935154,0.7782787591889595,0.8116610597534123,1.1073667310918038,1.0757561077845348,0.8873145967848998,0.7354790282997636,0.5991136834791433,0.5748004417897032,0.5691132587862715,0.56152475275278,0.5620140124040384,0.5916676221547664,0.6552112540120116,0.6094193311600895,0.5935151956575255,0.6488196495972377,0.5480155539037233,0.58691910574929,0.71429117533387,0.7562030166988526,0.912899333816417,1.0343900891612203,1.2350463649226047,1.8299516959968536,1.353999518022054,1.1390607204927163,1.4057039811400174,1.1186867291610243,1.0686864707057002,1.1478873371045517,1.4031802697434828,0.9065397945539776,0.8735824098131291,0.8743072921037575,0.7666923106031508,0.8867654112265014,0.7790408810376387,0.7302173568832637,0.8376091712694357,0.8473493619435922,0.7957175628917669,0.8447969212523149,0.9245228987249245,0.9106684512989159,0.9594557253956809,0.9673362746006654,1.0186559305445984,1.0646018557927541,1.2103327876964902,1.2044661931551686,1.1513541954988606,1.297145692932831,1.2345182635445056,1.116848049608379,1.1529808509269552,1.293981717469508,1.6862662057336946,1.424915862718853,1.4066219911593392,1.2261727185863869,1.149713600511266,1.1157976743114422,1.2244021516663637,1.47859247351703,1.1621090792284825,1.077564073140211,1.3301098975536036,1.3081966103989204,1.124540060824814,1.312041118579828,1.49741984807346,1.414795950207529,1.2817453543526551,1.0279767800371324,0.8822050738659949,0.9278111281572538,0.8872148561671944,0.888207836982525,0.9803873949849784,0.9832387299822527,0.9528913485385685,0.9364504873823293,0.8183397186527226,0.8288205946982375,0.799590232803676,0.871342078623786,0.9757056160230531,0.9151170000456705,0.9501947886311823,1.0141921895464585,1.1993536837712384,1.0660687619935694,1.0981846759452807,1.0357690768551955,0.9808804543747447,0.9018031206422745,1.0185520444889082,1.0774684796398089,0.9802701667311688,1.0164589626483878,1.1553725512096122,1.131136886101556,1.0728398944789075,1.2953193974711215,1.5375619526943691,1.2509517030552024,1.4167747596245424,1.592234434742155,1.6222342495953015,1.4441721736381257,1.2710236597368898,1.6576852013668804,1.5083874102178196,1.3499023461770758,1.2120203722712677,1.021920444757173,1.0065759013486881,1.0688416918637247,0.9479949899732406,1.1532536442381884,1.0238319525924913,0.9995878505948165,0.734981460228106,0.7392903180286169,0.6939049463816308,0.7924228229051125,0.7330722080549259,0.8081043580831447,0.9851014424150867,0.7716560648785888,0.8586296442147849,0.8393524094554236,0.6993369454225321,0.8511622010123456,1.1217481389809274,1.0225490834202802,1.3729523400668167,1.5788031388304125,2.017189152457151],[0.8710039728926018,0.8021826169231945,0.7760276130330174,0.5548756360955894,0.5858210579464896,0.6549503505785131,0.663702476986139,0.6881768513151156,0.7385683218810316,0.7230660648933752,0.740184761467088,0.7118636407529914,0.7092948146747716,0.7407576676287349,0.7556656932649212,0.7343936916876586,0.7410360247058246,0.7795118693122404,0.8385648084195099,0.7857841828501662,0.8881264327673299,0.9741960820189489,1.1745853348148896,1.19889875601351,1.0064169859127983,0.9039237522052294,0.8336114037099688,0.7295635529208642,0.7021956736400421,0.7019864410830016,0.7776532477596095,0.6791656984838336,0.7181545773388917,0.7311681426732728,0.695067983024816,0.7239667208835103,0.6810248808075313,0.7759503598945665,0.7101269069585908,0.8636624035565166,0.9611590763243023,0.9003427891758876,0.9475445929035988,1.0169957784438888,1.315077299635613,1.4555188150155154,1.7045936872781984,1.1501046708617717,1.424432020850306,1.9285354075421672,1.5830325730822787,2.021164938529199,1.9186998803097683,2.1012716207632716,1.779224391025735,1.2825519675413362,1.3325007164826523,1.2249562876715254,1.2173480672499,1.7269666963642305,1.3383340145200684,0.9156915773850616,0.8570402893505306,1.042627023407037,0.9767193358046818,0.8882736782265475,0.9311123186501666,0.8049202422602209,0.9505297221141199,0.9807386912517844,1.0481260971792372,1.295170352083319,1.0612601684649992,1.1054232803188948,0.877338029151625,1.0563840788738013,0.8238877005855479,0.7863274998536532,0.7805719774807129,0.8290629620907757,0.7434484023959824,0.8199210229770841,0.9537290922925236,0.7738646587634653,0.7724004912932662,0.7221601403017768,0.7409001388104561,0.7741823216407044,0.7621897772855192,0.798055844392588,0.7705962735982674,0.9466852425989619,0.9423195848305512,0.7945876760572207,0.7735692158352923,0.836444989799857,0.8495541652492887,0.7673926665655331,0.7232495000930003,0.7577250593006741,0.6996210755450785,0.7666935397088647,0.6418394569072283,0.6526578757675026,0.8123163053502478,0.599016976025655,0.6978369428458889,0.7103009898231019,0.6307696235826487,0.7340355580625635,0.5801347659951368,0.5841413397716367,0.6515718279813462,0.6154478016285493,0.6973965711108998,0.6966944683605047,0.7571179435410289,0.7470017305218062,0.8794617570436164,0.8285829075010654,0.8657288093736735,0.8417338551309536,0.7945996019342786,0.7276428734389147,0.6503482649996428,0.6157220488201854,0.6465764867082325,0.6146221063167252,0.5638895419710505,0.5561860032005128,0.6435091052845906,0.6636148277346854,0.65516756677874,0.5937667238282845,0.6283849170648398,0.6466659675956182,0.6585282058528398,0.6450559521636969,0.6277660240577987,0.6690136898288348,0.8375272695902443,0.9930433196622446,0.8350577241035916,0.706188686153803,0.7624099558356292,0.7126055441827657,0.7007324753863453,0.6913110528702904,0.6280637607166673,0.7293211600134889,0.6696783427512861,0.7338928939560955,1.012435636268812,1.4906916612073224,1.1271986792223598,0.7040492413340728,0.6797085067778389,0.6399063532936636,0.6339744656226765,0.6390713756852933,0.5947716925257261,0.6783417574160538,0.6517715565432166,0.6844428509288896,0.6876147898404705,0.8158918982921578,0.7609294782593102,1.012561811088343,0.9598316950659083,0.7888143339517351,0.6850968345974836,0.6251194464205031,0.5979552998734905,0.5923615934395186,0.6101969895092875,0.6152869414238404,0.6852975901979672,0.7084066588516187,0.6486868480181992,0.6031984759606136,0.6328824856904821,0.560266919476411,0.5992744250690782,0.7215814749831825,0.7374027607028109,0.9308011439398842,1.1167541826548693,1.340965623377518,1.841366840255487,1.3351612894210385,1.1765191988847683,1.313661191097047,1.055963396074845,1.0041615574660583,1.0908315670267341,1.340976088799147,0.8776990961155066,0.8247135813374061,0.8021666204994137,0.6843836726715002,0.8011168818439313,0.6807400577616651,0.6319881672042237,0.7323588872676591,0.7321432397468668,0.6825351341249651,0.7195996893779392,0.794247770490516,0.7812043514767469,0.8512931637199539,0.8521637259176065,0.90461211624821,0.9723553381467588,1.1355175000585274,1.100705818960378,1.0416295784042553,1.1956143248982756,1.1071865588633392,0.9852429578838638,1.0206440670473114,1.2093762175409724,1.5985347207520453,1.3585029861605602,1.2954049384439945,1.1398796392197736,1.0877807034506337,1.0608639163695859,1.1886648324620177,1.456523926326073,1.1144207986364578,1.0234531750985187,1.3339158687385946,1.2887600590623014,1.0787963425146427,1.3281305533855132,1.5005656870167623,1.3742387532543712,1.2342970441338392,0.9559492564354765,0.8457229014157649,0.8905072482519862,0.8140639590180476,0.834230415429275,0.9219784148391459,0.9117646864753634,0.895150906419756,0.8546945305785205,0.7270952689063501,0.7467458956462616,0.6967962564872577,0.7708945357275817,0.887605268159291,0.8200618516514165,0.8334070339869256,0.9201340301994071,1.1159716766739998,0.9531336674443497,0.9815332533353558,0.9076726441396871,0.8637539131106766,0.7913259889348719,0.9067946451569586,0.9513744219727879,0.8520285091583589,0.9061759367208123,1.0419830635813416,1.0033207408902478,0.9578974267422801,1.2197622581205907,1.4247734749260157,1.1350750673468455,1.3494995400025704,1.5674364304809065,1.5709335236583222,1.3503889198085428,1.1351421211486061,1.6013637394728366,1.4360241558115268,1.257209521947329,1.066284547374528,0.8798953982089596,0.8957522524428098,0.9378118135794729,0.8006131146645803,0.9695604552871039,0.860451331311364,0.8574621680858002,0.6236384063701143,0.6585687260258111,0.6000242493609719,0.7097755640815531,0.6677533461744516,0.7272711271906076,0.9492497173723777,0.7318372294273751,0.79586828372016,0.8202458198235493,0.7348347587281208,0.820331191427339,1.0809329498516211,1.0007064565798562,1.3526759595234308,1.5097122336568103,2.0224957855227443],[0.7946193150281687,0.7217960200690314,0.6685808065379938,0.49814750633354804,0.5002299484681596,0.549232035225879,0.5773670978370583,0.6196184639578646,0.6572705806370175,0.6609429100872247,0.6766788812120819,0.6556548846970927,0.6653266901658519,0.6977002433385827,0.7243088603907665,0.6917145453874739,0.7302157567703151,0.7676186080072512,0.8508275133792482,0.8133311686571577,0.9305085480100792,1.02423021232285,1.253941571067589,1.269875283234231,1.067268498269282,0.9483821101138028,0.894347164809193,0.7620760030677922,0.7238106023611095,0.694620511464025,0.7462920409956574,0.6494069464686452,0.6891572884386985,0.7238886946397519,0.695178198454854,0.7317683982306159,0.6790004969606854,0.808182045511517,0.7548036320014012,0.9556376223522877,1.0532038838780924,0.9596281284624488,1.0331992327970323,1.129889522202355,1.4366805220891499,1.5990351322454393,1.8654475598354219,1.3045206527752613,1.4853186831915086,2.006651974224929,1.7109884898858683,2.1491639690269553,2.0389976806863506,2.273561400338703,1.8254929561016056,1.3694458614147638,1.3670371391794736,1.3181764597391432,1.2714521743054064,1.8097396542292818,1.3887322887746325,0.9432020770841806,0.8876851879107109,1.1014945081926657,1.0263902267326215,0.9134508653245226,0.946303569225701,0.8132190258345657,0.9511404679159281,0.9891204747052162,1.0355328787814762,1.3280385552891365,1.0453075090660089,1.1105406761844512,0.8864880348905408,1.0577493305504766,0.851871049670379,0.8082948961221634,0.8159493898723227,0.8591149270554654,0.7712213817110759,0.8654907187659575,0.94956429662715,0.865084826953191,0.8762288726544812,0.7637589452193172,0.7846412215107406,0.7848296225211646,0.7882549083048124,0.8187333648235238,0.7712965903069736,0.9189795227097552,0.9393902159347589,0.7793667338174992,0.7419948439625789,0.7942514941597711,0.809974640370492,0.725107253037994,0.6752867640959904,0.6804364141464009,0.6352858447592337,0.7144525030278925,0.626032371757958,0.6435985157574564,0.7860488844660557,0.5894604420731833,0.6587717399276383,0.6840606854322672,0.5644334763968871,0.6463371513771451,0.5010240450406056,0.535864741315675,0.5876615798568762,0.5756537840554353,0.6752655242521215,0.6997261520749045,0.7696302105077465,0.7719451076780188,0.9142768742373018,0.8215284615238668,0.8398891712388838,0.829596769112102,0.7814304620958618,0.6953773443764881,0.5978238583027464,0.5617491717214045,0.5778054844899598,0.5714801462105386,0.516575413487133,0.5525192183336745,0.6249672125928725,0.6475495845458091,0.7065447477189939,0.6352247350220216,0.6798039680480342,0.6661710402539806,0.680401879410055,0.6872150250852261,0.6575205880415873,0.705509679596373,0.8912084337691232,1.0758616170810313,0.8749918722172886,0.7419742995219591,0.7997678942749843,0.7304018003335025,0.7089507602557698,0.6692059856938233,0.5853639026697658,0.6719718426124518,0.5930445250159699,0.6731268301412018,0.9355319141496387,1.4528981865346908,1.1116319772325098,0.6389781077454005,0.6056573983866522,0.5674581916725173,0.6163843186589185,0.619713787429713,0.6106132395721153,0.7017435341096461,0.6992480975287011,0.7593070770562773,0.7999058877800862,0.8871796334448429,0.8472044281179592,1.0865397323655839,1.0087710066069493,0.8491332001203868,0.7556636277073977,0.6906679957988382,0.6796457667561753,0.6503268178285662,0.6479785640234011,0.6263130803615238,0.7047722563722416,0.6985670787640159,0.6985713249328617,0.6548548936914617,0.7144211000869694,0.591968749625359,0.6672819179405415,0.8125971255209956,0.8155191549543903,1.0267325217239642,1.2054126752750287,1.4613837556712397,1.8867549472048202,1.4495693967195709,1.3161268879050738,1.44575653443343,1.1887398394791835,1.118339095209811,1.197773243079144,1.4198462151744211,0.8903117084598643,0.805087351433261,0.7625022506211282,0.6271625545918982,0.7257956716675867,0.5913808639071704,0.5449704721208041,0.6393865102260766,0.6189845520570806,0.5799946932905996,0.6148466046615894,0.6680705009092329,0.6486344888134223,0.7519694435038627,0.7461987858081987,0.7841213925567685,0.8797474922562252,1.0622636096249627,1.0049065416431906,0.9459565320213138,1.0744912359087115,0.9719037171055864,0.8363065277590674,0.876302377046833,1.094850465689312,1.4842113842005173,1.2624033273119817,1.1907601514088841,1.0086127538492087,0.974408922836115,0.9707051952452602,1.11653878448403,1.3776481546488957,1.0449489888059635,0.9479382079572113,1.2748973293328327,1.2027424298983243,1.0162261348566528,1.3317117829302048,1.4662778778068977,1.3106115037253252,1.1962362660522654,0.8933852933719812,0.7957170598722708,0.8433110854625404,0.7440918587970038,0.7993947726844801,0.8569921443863141,0.871666360616218,0.8424254882260125,0.7737585605794886,0.6411156707759446,0.6839539090822986,0.5934200851573337,0.6522505704829646,0.7721451918416975,0.7006710352424939,0.6963204521936589,0.789205344941222,1.0158189567325013,0.8298591235696577,0.8358988296383987,0.7697491247538166,0.7210120328299657,0.6733646563496046,0.7822289347090999,0.8129878465279863,0.7194449921242334,0.7903535347099583,0.917238979571891,0.8705403304035692,0.8485145619707524,1.1340483207160676,1.3152018432798758,1.0081327857443085,1.237582900588471,1.5288743999637715,1.525455097972242,1.2375385504232201,1.004373276803958,1.5888521663567923,1.386107221779788,1.1450525107960274,0.9676380578382956,0.7651894052410659,0.7832480869640973,0.8804856035588862,0.7371130651438079,0.8718550745313827,0.793413607830506,0.7608446053870983,0.5522638983383322,0.6029496569996211,0.5197082000364736,0.5918328720419613,0.5566483774314428,0.6036867656105812,0.9177079059864113,0.6444521399681047,0.6934873912478836,0.7751834539565517,0.680365141917115,0.7907169828745688,1.0102861688831588,0.9689697890455481,1.2972774940937277,1.38434482449811,2.195837343215164],[0.9295646588742539,0.9261509305175614,0.889340533035584,0.7166679615330448,0.7216117603245511,0.7452321621549568,0.7734444751857493,0.7989707379949731,0.8439512870514485,0.858387109997226,0.8670341202547405,0.865639790596941,0.853779083932162,0.86065133171879,0.870157396644957,0.8499943516952493,0.8719672564727386,0.9084507574632852,0.9748764237423104,0.9357070737582801,1.0584860381017591,1.1427246409702612,1.3469889662862917,1.3399819943832152,1.1607309950588434,1.064533871429462,1.0040235053567084,0.8972092139076775,0.8609851056090143,0.8548128401088234,0.8901361739707989,0.8322009102603678,0.8830183309884696,0.8749989684000277,0.8555045052929969,0.8874093237505712,0.8314934168280848,0.9485161505651678,0.9009756137465355,1.0732556048172848,1.1652782985186363,1.0517749222336117,1.1139635904149314,1.2263820090442519,1.612050923544719,1.8066842056381487,2.1003714259896467,1.4529895176574372,1.5708390671112926,2.074571952333958,1.80281243048113,2.2125928687065715,2.118401001132254,2.3391491321549998,1.8486227963408874,1.4678825558599984,1.5131405868576007,1.4100353181658316,1.3634117760646893,1.8847372871298813,1.5009550950244614,1.0695632691636912,1.014478483833224,1.2542181357292566,1.1475249790351256,1.0455450477158854,1.0585978737914288,0.9411910956595411,1.0393486685509492,1.0886887795878188,1.1105320867851145,1.3818241782130156,1.1433198266068931,1.2015943851915736,1.0303359182734253,1.185222305082444,0.9877947233535916,0.9450776112202866,0.9338808402815518,0.9712491520735028,0.9177020342862664,0.9761175233160415,1.0879819917309053,0.9715594020226092,1.0170279158740956,0.9059666995398907,0.9284936052755995,0.9216800863155529,0.9174786875562275,0.933264740164699,0.9155132458516283,1.027456394279846,1.047596386066754,0.9237853711352855,0.8916911046908,0.952412426309642,0.9661917782266017,0.9102644761648879,0.8779554239364586,0.8777278529097137,0.8311159405567107,0.8826289063876545,0.8055243527074674,0.8204570634977609,0.888965057865594,0.7582650137692045,0.7859349818305049,0.8201005808986745,0.74477312356715,0.8299916074812071,0.7164234427961087,0.7409382923632721,0.787087835391806,0.7783693326120509,0.8458589066362239,0.8515201792569452,0.90641844358816,0.8961701085812044,1.023387086643281,0.9421339900351074,0.9734897460615006,0.95659436089804,0.9041694644669959,0.8537230097023283,0.803548230486593,0.7676729781342152,0.7722426339780448,0.7663590047204909,0.6943860711191253,0.7162673350293085,0.7693181807506491,0.7901115617515111,0.8227727863423092,0.7920044213076075,0.8168354826345215,0.8000591331546806,0.8197444771287197,0.8335179596444632,0.8101682046060367,0.8606224486460117,1.0285939804134143,1.2028995131589213,0.994855328493451,0.8808502476088512,0.9217167176731579,0.8856761246814964,0.8607519761203967,0.819926094260072,0.7824037825642848,0.8593761384365138,0.8002017047614199,0.8771990398585949,1.106334702053555,1.6220869283778496,1.276894193250545,0.8335400378401463,0.8116168815937282,0.7680110142052756,0.794875619551817,0.7943809524416818,0.7882287500008659,0.8617412137718717,0.8513403680964063,0.9049753713201869,0.9434381562057332,0.9648613064473964,0.9738843861790157,1.160191554198133,1.0864786544724037,0.9630293960879193,0.8943219946742426,0.8335262926640518,0.8275097006114576,0.8125417342183783,0.8268699411454802,0.7965409032195204,0.869827414022417,0.864106546940704,0.8649380170463751,0.8316329868006788,0.8608061670589471,0.759766081002685,0.8151300182444018,0.9415156670814256,0.9464600823019292,1.1447952134751012,1.316262136182857,1.5956056085173969,1.9657620779309737,1.5296470423350041,1.4305857901326122,1.5415167587525083,1.2668588148921867,1.1876297136862894,1.2539387660020047,1.4736008094444755,0.9830723834264098,0.909482974400199,0.8862968463508402,0.774839283959826,0.8528689046037591,0.7609946101709932,0.7367980420204873,0.8176479020368652,0.8010274137459591,0.7830993790890725,0.8189741285003902,0.8548190479774042,0.8465555910016374,0.919862002690659,0.9193780410381401,0.9611160760868013,1.0491240787658445,1.2214884513004254,1.1644114079923165,1.0850426812548069,1.2191105827595337,1.0990053238641673,0.9850268107062868,1.0324614068431468,1.1798190437543958,1.5366991813633952,1.330756598308958,1.299628232632021,1.1213860333869667,1.0645763180388554,1.0514026955890026,1.1686468014912452,1.4170010039433616,1.118390922583632,1.0081896008609927,1.2955400252685847,1.2399760764672785,1.0816782866688108,1.3614677570941942,1.5067507718873432,1.3608194715951054,1.2579270058689396,0.9817555035234904,0.9011379231189238,0.9176984768019898,0.8579017167301201,0.9304049509692572,0.9655854703247982,1.0153459028187373,0.9735983509336363,0.8777983658636233,0.7956604873316858,0.8313055258786122,0.7743324073370551,0.8500795917171522,0.9659652164256809,0.889823484056669,0.8909857441017378,0.9976251872342224,1.1944811524877552,1.0143294883500935,1.0172415172388038,0.9515805082351436,0.8925493441409247,0.825850150157877,0.9243824912579176,0.9589010247141164,0.8777167802807586,0.9198234473137749,1.0331684418547167,1.0069877616835972,0.9858145759554638,1.225465904490416,1.4152845319375407,1.1368399733360854,1.3316542194721428,1.5909656859196526,1.5906518365732056,1.3447658084635221,1.1404592430773857,1.6160589366448794,1.4060014309502273,1.2227876175207437,1.0896939571081696,0.9137372620290476,0.9501392294602922,1.0014546273293372,0.8733083523578057,1.0220984415714993,0.9540209501227537,0.9086332391896521,0.7594566231011337,0.776939886608898,0.7242242393263578,0.797321494858105,0.749518401791866,0.7739226699269143,1.1132025831827523,0.8122650532278454,0.8521381038979268,0.9459260315113732,0.8414480723400877,0.8750470939753068,1.0671398442810718,1.1207268914427448,1.3621615525530133,1.5675808424811597,2.2063081811519796],[0.86886131594026,0.8561839493769174,0.8229340239488977,0.6716791781103858,0.7175447594645853,0.7232938086482933,0.7510849642126064,0.7902018020543085,0.8969224671039403,0.9069376763009133,0.9389479192630024,0.929917288896318,0.9176252886944283,0.9706976141634951,1.0056438072043405,0.9697916828524445,0.9875117328681037,1.0429680714538625,1.1363581359779025,1.0875986836880545,1.2393515835179985,1.2807221261940074,1.4874093159805566,1.502525217682355,1.2689849055314284,1.2028208911689993,1.0736279247882905,0.9955868055352788,0.9629833962598913,0.9430456985485334,1.0617573148426522,0.9509319383097479,1.0038622355485918,1.0358093967637725,0.9894070351446308,1.0323063537147583,0.9258664309391867,1.0064143555129461,0.9730151227048146,1.093294571497566,1.1386135303244778,1.1035490102266419,1.1825746718094543,1.4230996761028165,1.818704633741572,2.1526062876390846,2.464589799499749,1.7939846145489704,1.9244513263993874,2.4722481482616327,2.2332595301256863,2.5842313459745623,2.4319074831068828,2.6929082460461164,1.9586490740758415,1.641050650801427,1.7105449235092371,1.520517646426463,1.447853115523964,1.9849947735934128,1.5763006185711612,1.2674419396408136,1.2295786816091536,1.4710052829250229,1.3046260133779655,1.2251948875171683,1.2841290593949661,1.1284749476283384,1.2425745790740441,1.274117450337788,1.3194735430044862,1.5592871255910596,1.343595166312993,1.3766170863300224,1.2428649615246774,1.413260872351224,1.168088083860474,1.1214943945990714,1.0821243038207793,1.10142064481106,1.0133267464712359,1.002236319727391,1.1868033776905615,1.0365030925719665,1.042444673576175,0.982002367130938,1.0014580404571813,1.0361865799442538,1.0421064558817914,1.059361547783689,1.0963081791454075,1.2966456319577429,1.2299043871621729,1.0917483380198463,1.0413808856798832,1.0903220617588767,1.0886497367936616,0.984709309233357,0.9194627857483506,0.9393095604829139,0.8990817499970508,0.8966325054905683,0.8725825174489417,0.8312288825714979,0.9942472601986713,0.7979550897240565,0.8269572270925527,0.8152984626570791,0.7275036553896944,0.8340931355555562,0.7323058257128899,0.7466065855088687,0.7700562244150738,0.7912731121756197,0.9100873077057348,0.9338705352414078,1.0065287339389506,1.0039809832865316,1.1581004306939149,1.0669490740920473,1.1147858168556122,1.0696575669787234,1.0052091790340953,0.9167991358648222,0.8416548496603452,0.7535938654273738,0.7503783491696858,0.7708749239792846,0.7163815932057042,0.756226931159088,0.7807907076271478,0.7959910606625256,0.8811003544852674,0.8329935969479825,0.8437364460964047,0.8614474962521496,0.8853809672804254,0.8260034432671882,0.8417384547896014,0.9434642356302988,1.0565785033606752,1.255412805742902,1.0787099645874108,0.986435860232192,1.030526759674534,0.9745008929601521,0.9374651851429066,0.8693152112974039,0.7969292602868011,0.840446636231852,0.7912189881863375,0.8211881937383751,0.9721343205667237,1.5055238935577724,1.3156259419235565,0.8389289236358296,0.8526800372233738,0.7857801986035008,0.8492532369062227,0.8140157820858573,0.8425135417016605,0.9091631229066001,0.9303837894528888,1.0035807799024148,1.0313800661351733,1.0637096392819236,1.060064301952678,1.2872507280625347,1.187880823281111,1.0194746863375044,0.9409116315846972,0.8847887893771179,0.891192795706886,0.8679704764997116,0.8650474304190061,0.8563090082654964,0.9373217005297534,0.9351007259787347,0.9289240336461166,0.8892035846347498,0.9180649216143492,0.8264413491149541,0.9241570811470898,1.0306521002510904,0.9731851614708061,1.135801234314275,1.2692244864269793,1.5733733175437383,1.9536116329738695,1.5846710957363508,1.5181889943638958,1.6807813529860958,1.4298829085394495,1.2941452260401953,1.2962835181364074,1.4499917645153049,1.038198311640663,0.9435875319656168,0.869465924345167,0.7653894982448475,0.8087937866883516,0.7028224928653786,0.6884400816841736,0.7417907783804201,0.7269185486319125,0.726067519795405,0.7403931353646585,0.7821989354056414,0.7803822472782855,0.8868273585973114,0.8693858359552487,0.900142651866775,1.0348701766418187,1.1882026924926914,1.1105470711801857,1.03005040772718,1.1763503698193718,1.0797397982608186,0.9465142983112621,0.9947120271398727,1.1663557070084491,1.5753159969071964,1.3468526730783705,1.2801961736722824,1.0816259962563846,1.0282554937414234,1.012663410621213,1.2126747426029452,1.4228500530810675,1.1101959473924203,1.0309892432226895,1.3747117984410633,1.2958630061275795,1.115475816627685,1.4072540352850162,1.579035491521891,1.4088525701990513,1.248766727505205,0.9751586818184972,0.878241776303533,0.9171111030494885,0.815726757682701,0.815485270824651,0.8616300882915323,0.9138388701667839,0.8693105339874871,0.8515119660613455,0.7725770688840257,0.8128959611473459,0.7143002711333345,0.7725602828540646,0.899548091741489,0.8305021728666695,0.8079441527847899,0.9062081287597364,1.1154333988849725,0.942502739454026,0.9357408553479594,0.8725848320789644,0.8165512913452317,0.7439150170244312,0.858714379773597,0.9120754396313542,0.8087590247471061,0.880374588731628,1.0136931484236296,0.9720780652814236,0.9466178176641254,1.202490480856787,1.3941117268211491,1.1082092152710203,1.3021925038668902,1.6206282017057607,1.6334962905123078,1.3320726915045618,1.094681288741498,1.6888046775698191,1.4894913036373227,1.2507538471943633,1.0938531502719866,0.8815426690345698,0.899818566008438,0.9932048645548928,0.8587055977109126,0.9877656299763142,0.9089931281359452,0.8762111533838286,0.7174350844448526,0.739433481966936,0.71821041323271,0.7920286956713527,0.7700561684845407,0.786032472609495,1.239055942706747,0.8980802352489344,0.9185198506085211,1.0363631027066182,0.900595645812136,0.9274033264753506,1.0903346357189967,1.0597201886160854,1.2931917393243402,1.3750302252031095,2.190851089793674],[0.9448111113504917,0.9473839052583102,0.9403173603987122,0.807368343372129,0.8487195287475727,0.8404229719739312,0.8500273373819823,0.8686469076416049,0.9095257168442342,0.9137807043059017,0.9249243239896504,0.9487636646180249,0.9230994431527922,0.9150387711035998,0.9373724706908007,0.9247657542317294,0.9544463549108152,0.9987097700627346,1.0820186638539677,1.0558237803953494,1.1956172568612975,1.2841813007403586,1.4855763362877559,1.4731269816027235,1.2757504908519746,1.2072809303401029,1.1437659826245121,1.0087944644365203,0.9613887956270424,0.9430504326427891,0.980114320087312,0.926498106688444,0.9804369618928276,0.9765865036776077,0.9600981917286425,0.9922165061225491,0.9300468060608315,1.048323585519912,1.0305012049054667,1.2053878351772376,1.2878527123625794,1.1578516644656072,1.2155101102331924,1.3113918560894504,1.7809058190473213,2.0077248670588324,2.302553166719541,1.6042545516195,1.6079029197239798,2.0680144002780994,1.844851587825937,2.2128474480111313,2.150472463160579,2.448122186802891,1.9101728454560807,1.5483094308683087,1.6228406894274192,1.472400899797423,1.423765204923893,1.9373277085774983,1.589037047057181,1.1856947597180498,1.1274904850427534,1.3657791131407169,1.2612755187895657,1.1841439728773795,1.1424250275951477,1.0478348684496028,1.1267943612367681,1.1670889315829382,1.1726628186324612,1.4067731862885613,1.2159616017785415,1.2561445297312839,1.137229346973923,1.3595230918873207,1.081156810643181,1.0368539905128615,1.0099874992202882,1.050963197218134,1.0513191853902815,1.1135967776342208,1.1830619288979065,1.0692900630398432,1.1556783100528532,1.0234521385968205,1.066185899985056,1.06513812265138,1.0164582255972676,1.0094200956122152,1.0153033296680412,1.1421294655727088,1.1166321184605934,1.005408203767441,0.9679989047221548,1.0401187782558143,1.0407950174705007,0.9729306938798343,0.9412821579385549,0.9661593923900519,0.9313743925604073,0.9593242708674141,0.9103443614952375,0.9033350252860027,0.9676808996348655,0.8548759477696392,0.8855935201560693,0.9188672582178412,0.8466800385129328,0.9472168122153172,0.8269271553613131,0.8588192451371318,0.8764377400710457,0.8845408853508874,0.9274753741501433,0.9416350463405181,0.9975968581071659,1.0049341551926738,1.1224558694866655,1.0329026978572369,1.0681258403200302,1.0127327598366647,0.9647260979852241,0.9227471889765603,0.879478658468295,0.8830019209423942,0.8546100456084375,0.8809738398927446,0.821114502950456,0.8400738089018599,0.8868571350087082,0.8924401875022117,0.9317635499560735,0.9060808939061895,0.9216106338128645,0.8637529882313064,0.916247466851915,0.9220519411707702,0.9212273282940941,1.0052709397563666,1.156035129534855,1.3174918608380004,1.1007651847014388,1.0069705835573515,1.051825857216421,1.0050457405672406,0.9659294990877282,0.9199976643802806,0.8786450846343136,0.9300815479861868,0.8819257507277536,0.9409157803430627,1.1220807220780207,1.66477435305193,1.3874396060319263,0.9160746653100496,0.8860606993234675,0.8549666032237786,0.8830847955859423,0.8776485648177937,0.9113439698881663,0.9690624144877419,0.9679509350690341,1.0250210602409824,1.0868536227448558,1.0683278603949617,1.0778244247193227,1.254847064378374,1.189775209164297,1.0627581217907962,1.0025509537071724,0.9510137903607045,0.949302127374967,0.936949774517695,0.9429190384130749,0.9046121099613558,0.9780313163425535,0.9713834173198219,0.9920320869955473,0.9551560674911618,1.002930785223165,0.8769279605214324,0.9351844870746842,1.0630418627774563,1.0664365723159213,1.297490447061866,1.4650000254315212,1.778785535500795,2.1154008543989717,1.6375500280325446,1.5371700562871256,1.644955285411406,1.3437459256278264,1.2473423355837447,1.2721527796633079,1.4602231752206591,1.0759676418057165,1.0251567836808815,0.9843178378966335,0.8989659366258208,0.9308057075781214,0.8632437962912645,0.8443422177613881,0.9118934174506353,0.8707305244260664,0.8509552429190108,0.9024469252745712,0.9212911855584028,0.8993795378117694,0.9691211593298027,0.9440711390559723,0.9800720118807487,1.1009507804719953,1.2345418451641144,1.1632904162584699,1.0898120348134979,1.207588383024273,1.0980640311819418,0.9991525585856529,1.0326852347546422,1.1761976501227622,1.5391466678203998,1.3196854238269753,1.3792630675176136,1.1460989085364266,1.0732906654468193,1.056551617592021,1.185291695874193,1.4023750915449185,1.1375721589614256,1.0589030837837223,1.3331376491256637,1.2707328730534162,1.1245502562299559,1.3906922734734084,1.5057470551800667,1.4043499001311228,1.3501728285311394,1.055710355513883,0.9839055396237352,1.012043418644304,0.942215735840356,1.0164480617921277,1.0551807720550572,1.1269583507657652,1.0522611140835156,0.9646522760814421,0.9185401596507891,0.9508433181196324,0.8793313360078754,0.9222477971028704,1.0225768499879238,0.9575401448508529,0.9455360705682913,1.0378896072042993,1.2183753383875802,1.039069329296403,1.0268432297910843,0.9508086924729506,0.9142620804310354,0.8829870332454698,0.9728148056531767,0.958343265516561,0.915093986190818,0.9707881408765706,1.0459477419268066,1.0181524650746254,1.04318539526046,1.2288616247768889,1.3558933234891182,1.1606974850248761,1.3560184934425665,1.5909129691808126,1.616017030821027,1.3739755626563026,1.1773432444528962,1.6671879542690575,1.4965490121995113,1.2656874567276926,1.1246901566152465,0.9568192622161067,0.9750029911722173,1.0489673664165942,0.9673648442633187,1.1295734081461313,1.0910406093645755,1.0248299406633097,0.8749065628255858,0.8899461551939273,0.8162173091187025,0.8712357246565963,0.8220097741311341,0.8443049914762911,1.2634692393776776,0.8918523743587088,0.9366048314523512,1.0607141258316473,0.9254108820365438,0.9235459994818855,1.0972878869636542,1.1384702460117275,1.2987797057557455,1.4517396494589903,2.1988783000547176],[0.8705248269480406,0.8738756004906046,0.8706725382949492,0.6799156975877463,0.7394387898159206,0.6669320413320186,0.7044018014599019,0.7318349045014959,0.7537792649408495,0.8022654848624698,0.8063410046688124,0.7876102263185534,0.8354446369220025,0.8391846746778224,0.8657317190102292,0.8633667900969801,0.910211003023448,0.9837171450552366,1.1039742314098335,1.0620124089225413,1.1980656539214243,1.2951149715229244,1.5079486930820476,1.5077037888391167,1.3196615063614143,1.2285658814759166,1.1512446421311655,1.0092644953257928,0.941223382892709,0.8958411587449928,0.9326788499238522,0.8469233154276462,0.8962504111366828,0.920898458913265,0.9105683332535041,0.9700222177688856,0.8884633201074519,1.0538700165009192,1.0355157562353103,1.218719821866784,1.3255596558778886,1.2000680313636694,1.258979739436788,1.3059350369191063,1.7046303082949823,1.8317439135159046,2.0976263252760585,1.4795550278683574,1.5076070778144597,1.9329835693185946,1.694893698835125,2.103410000487627,2.0801125897239414,2.357205783013279,1.9561027476419355,1.5534507043860204,1.5891436758923205,1.5180083023454525,1.466161598721223,1.9433112420033491,1.6064461552910692,1.1895413046205068,1.1277000417856078,1.3835459956850023,1.2926931303959956,1.174218118181506,1.1844720155353161,1.0483758123622018,1.1257719641029493,1.1531437083821814,1.1821676497218983,1.460565056008813,1.2109776518382174,1.2671722973366375,1.110883919211527,1.2904365897474679,1.0885861547423221,1.0386765309137926,1.0255679521509702,1.0771651314954915,1.024455859093936,1.1045161450030037,1.1837713603720719,1.0636331850660992,1.1494338689348889,1.0112354644504038,1.0591395082959707,1.0029432438809263,1.019885070011726,0.9971966445166064,1.0029577669482992,1.1034286018623645,1.0983083430926641,0.9422708118549975,0.9007374302965799,0.9481709471189789,0.9578185484787938,0.8806154635793105,0.83116436798015,0.8155037434298675,0.8110868932001779,0.8494523107814324,0.817543554987337,0.8150097281859853,0.9119537087132717,0.7751035430697129,0.8157278342281212,0.8955617487537034,0.8068708924125131,0.8649714129827696,0.7294966531970355,0.7675226335780843,0.7777486578970004,0.818147665102519,0.8520776113991365,0.9004599825342947,0.9764960679533536,1.0214963857304116,1.1550131199504154,1.0258225359779265,1.0448751440533164,0.9929266572129778,0.9476390850188536,0.8622819458007889,0.7740333348157797,0.814234955011145,0.7550500397227115,0.8061694676090211,0.7654552398562855,0.8095232406385267,0.8904942566058774,0.9017033665664392,0.9609930094944016,0.9105533862074484,0.9438436875582982,0.8749395916198661,0.919156070460589,0.941873604644329,0.9257640174346402,0.9981680385927456,1.200552790847984,1.3727704621557835,1.1539856160735584,1.0133907274010157,1.056735612355854,0.9878124239220851,0.9464457976062485,0.8680538916133896,0.8036144125022409,0.8249354025715324,0.7489907322066096,0.799362374381513,1.0175318775143225,1.5414748703682326,1.2491628814006508,0.7739941255805226,0.7670740029749904,0.7267609957592398,0.7959314210556074,0.8124137202199843,0.8647387261640731,0.9452244543476385,0.9609612483820625,1.0174531139560858,1.093182112040941,1.1084112596054383,1.1150282201997943,1.3050374370264735,1.2438039570912547,1.1142979866629121,1.039933625461595,0.9652931583155769,0.9528467736454089,0.9184647324940189,0.9180195625770566,0.8578486015326234,0.9147390429719608,0.9196765604415461,0.9574711125503536,0.9195978293234122,0.9812558743514795,0.836484606109753,0.918244587485454,1.0801645336531,1.0983458464485771,1.321733474131622,1.4869253324798648,1.7933731309492833,2.1288261547307985,1.6519863093650458,1.5564785036417348,1.6302282835733595,1.3683848737130735,1.3016072386859674,1.3304649493904224,1.5162896538367474,1.1214056790732037,1.0607125030832358,1.0228183039259857,0.8911817680472752,0.9426832346571066,0.8308590893989536,0.8008048254227709,0.9102773640539249,0.8585828184311994,0.7923231149112175,0.8701746332470374,0.9073136089092199,0.8450962572122455,0.8991598797434833,0.8976827688842894,0.9331746181044791,1.0306245965102117,1.1711233981876024,1.1234428968249421,1.0831004725508246,1.1765551764610716,1.1321448248760735,1.0123929684746964,1.04587701151487,1.2120967297729117,1.5839058765612473,1.3721282816718603,1.4017312669047,1.187564431563285,1.1206962644295548,1.0923127643353323,1.2358448296578866,1.4546069398441632,1.1855735946378192,1.1023113924744359,1.3806244358337936,1.3258788540892357,1.1775560141768007,1.4429071813847774,1.5846875838606085,1.4832311878738236,1.4307551369914244,1.104195315674494,1.0083262744380532,1.0404421874784595,0.9561901952533881,1.0203748166100266,1.053487601246319,1.0927823199787092,1.031946419801812,0.9473760693873643,0.8603623271816843,0.8816535451190712,0.8203486611337374,0.8507015141154308,0.9487345171364024,0.8804843222456137,0.8759790179361374,0.9546510140097947,1.1344018959147453,0.9792096588063623,0.9774537174506814,0.9150304963101047,0.888647695373806,0.8551483224943178,0.9822695000160603,0.9685525694939732,0.9105146658860443,0.9991471600454562,1.0950635238808932,1.0584572201584277,1.0908248069429343,1.2930342047300631,1.4060943613401937,1.2291127538745785,1.4329474095456174,1.672112535680536,1.6950411852983016,1.4624274027499113,1.2408405153986741,1.732176375832672,1.5791794332284712,1.3138808709545609,1.1591241661171616,0.9625861292228365,0.9367827753736602,1.0446838823537834,0.9703797374729632,1.185901055753267,1.1396477160467295,1.0531800265775086,0.8484741061876985,0.8815171535671973,0.7717998370151392,0.7877659951651318,0.7279909757759208,0.7494689149000033,1.1511138585011478,0.7826075967859765,0.8361220250578484,0.9496646796695185,0.7957162831650239,0.8428455645716225,1.03134266590835,1.004699201789259,1.2458932525730186,1.3605570006347323,2.1956766553183984],[0.9364787834778892,0.9169021210775944,0.8052084202309765,0.7500784179493049,0.6734584421140198,0.7280191826573732,0.6820114697967365,0.7182712935426362,0.8020737446741187,0.7490439053805406,0.7718350965694023,0.7381260914536596,0.741613857548729,0.7961077460741899,0.8186387375847607,0.7758026195418891,0.7741916253617634,0.8279090666327944,0.9119075949125831,0.8347120242923475,1.0196357232386801,1.044006161134854,1.3207315815427663,1.3027266621754456,1.0664727761910002,0.9708909429606738,0.8191287178727038,0.770734913651822,0.7345325139092068,0.7286566557687123,0.8610949026687597,0.7220745684370118,0.7733877204728234,0.8228368070797345,0.7634735212823637,0.8171556066236735,0.7157463351698512,0.8058422378831142,0.7394328169684249,0.9076579663889951,0.9594270668353182,0.8884668926729,0.9852592842176094,1.2712505998417485,1.6547788582960472,1.9687968738021941,2.27042375313298,1.6200096952364782,1.7744789817526423,2.2955602188507327,2.0803914974587845,2.517305922709459,2.364498290928131,2.6460420355194496,1.9140432910115772,1.5581209404767227,1.5610002280425777,1.3729270360792183,1.3017070625306335,1.9259328909888997,1.49578597865908,1.0622386511440927,0.995908185591316,1.217531376016199,1.1000008205054996,1.0075179851665053,1.0609960394259574,0.9004628670041449,1.0419207604682543,1.0914967585265012,1.1324842801831572,1.441278389478881,1.16904426997672,1.178856795843159,0.9982947390467071,1.1468382106619597,0.9508964959039756,0.9092230970328228,0.8781744081758424,0.8966935798839106,0.7729850426217093,0.8046389242644766,0.9961110479276659,0.833835160912428,0.8273670499334277,0.7482291787410918,0.767117649295569,0.8071252987506815,0.8277017729311861,0.8548635566344674,0.8848494599224594,1.0464112743042089,1.0638567307578537,0.902496883085669,0.8503466732589573,0.9220486186455138,0.8947533899536787,0.7731449914853499,0.7369263398784535,0.7946973686429059,0.7064169022794088,0.7611794358373254,0.6762237120787933,0.6656046312289267,0.9141861524194146,0.6245693949401426,0.6486165365336171,0.644721761493061,0.56777534165619,0.6847614406946894,0.6177755231315355,0.5800789381481184,0.6116184891490433,0.5996338846767177,0.6831952708789002,0.6801637079510212,0.7650845751238587,0.7723398225564676,0.9645503767505343,0.8406519468101991,0.8836339779054097,0.8450786174682556,0.7835617222547989,0.7174370405508503,0.6922232218151126,0.5748699524524542,0.6322004146720144,0.6081836017450665,0.5371648479661068,0.616234851065388,0.591941789368614,0.6133137066692478,0.6972270474790865,0.6303093329193262,0.6367830137125119,0.6765777155071528,0.709518322759219,0.6106957247658837,0.5994838075762529,0.6901799082521792,0.8686001328362616,1.113134565257093,0.9015170771107667,0.7578779430162851,0.7792492283023664,0.7431819207055926,0.7075525378980909,0.668488095672771,0.5979255351237065,0.6778723475354881,0.6756595635358321,0.7330724974295773,0.894449103250539,1.4429902730178292,1.2351524041112154,0.7241355780179132,0.6988488309338379,0.6455845422638885,0.6689977241013644,0.6520718336963987,0.6220300332927363,0.694829198036252,0.7170321036620864,0.7983134535972637,0.850856932329311,0.8618494474511024,0.8890251823786962,1.1272248591408032,1.006182148205802,0.8455161251021637,0.7588077402830572,0.6798958753468148,0.692220633356388,0.671469028627034,0.6517025624599374,0.6682519864278572,0.7220497549885592,0.7291885573163042,0.7087618672070607,0.6856915693693136,0.7556283051947712,0.639904244654781,0.7434060509073308,0.8643097101058222,0.8100510235730123,0.988466255017659,1.1315493306065256,1.5108264916455718,1.872720021562644,1.468660814182005,1.4085587159376625,1.5468366762720815,1.287441221403779,1.1383586780755888,1.1659084921118732,1.3672788664094129,0.880501441223393,0.7830758039525625,0.7286520497383969,0.6401494859227728,0.7154770347794495,0.6483972090949502,0.6384981370955849,0.6877066612112968,0.7021159728347393,0.7560960382154147,0.7366183717173189,0.7693718058405479,0.8261750402818124,0.9897793680912194,0.9477166812739194,0.9709197846566144,1.140522116865767,1.2626410525503404,1.187877446438839,1.0775264560524123,1.1729668844436762,1.03790752074973,0.9138313632104414,0.9445446238012164,1.0902648939234822,1.4889810132223347,1.273416633147077,1.2286238910450695,0.98752508997001,0.9024431991620734,0.8884826226098812,1.0529116694174538,1.2812265219258567,0.985058572304626,0.9021932373384195,1.2207116708342436,1.131975565183919,0.957837936715847,1.2781443181867,1.3869688669924347,1.2456983372686101,1.1012735003419505,0.8489513515144796,0.7639877187763747,0.7997345577116022,0.7436972526642246,0.7656039300498658,0.811098548111811,0.8673856777500832,0.8219744333257953,0.8693563862197701,0.7976801080477767,0.83834373226874,0.7637917421474604,0.8382710844490628,0.9829653000082249,0.9233770511981129,0.883784598460208,0.9584106523601003,1.1332989998421874,1.0168455087324832,0.9789229868952172,0.9004774514589311,0.8087828104700981,0.7533864644970716,0.8107631043805492,0.8563719489732625,0.7894416294674059,0.8001636746610478,0.9132847020236275,0.8940879310656421,0.8524226372002695,1.0743826371390615,1.2947714258102427,0.9990044551002009,1.153828304292687,1.4753074346449815,1.5088634940144072,1.18053777095645,1.0101626281209204,1.6725918508597024,1.5740450288173322,1.2231842202622685,1.1045147041626584,0.9208597707001218,1.0000981981987402,1.1117406354765744,0.9465917183626928,0.9729983415447973,0.8929454242587385,0.8351236348160469,0.6700003624934662,0.6500183281516625,0.5920510875217245,0.7906019093337697,0.7513114736618429,0.7935620281321615,1.2674642695224738,0.9435442442274252,1.018123482809235,1.151580553575506,0.9881441583754992,1.1095255160488513,1.2513471042668898,1.1064740110291282,1.3896340630184516,1.3398677788400237,2.3447550917934534],[0.8360622953924487,0.8093679994479871,0.6537204446016799,0.612579662619545,0.544678214662222,0.6363357761066889,0.648285416545198,0.7032650243063476,0.7964004218227706,0.8054187320377377,0.8457019933483588,0.7752332883479229,0.8603004109699652,0.8972197220531185,0.9593031098765655,0.9354865632894005,0.9600129403468505,1.0331841661678565,1.1402525902603011,1.0729319803777833,1.256449552660146,1.2727166456956878,1.5273125352332664,1.487473161894116,1.2832653630248525,1.2011398539712344,1.0202700251776797,0.9811789435591751,0.9427625442388681,0.9176086145603711,1.051135398265428,0.8885874902937585,0.9494139624663003,1.0327914139539163,0.9757797609404093,1.0418327217386039,0.9090602627170132,1.0311176388051129,0.9658246908258156,1.123261325813873,1.1819292623202888,1.1134653665044512,1.2065142803094437,1.5484664281629654,1.9891089046325143,2.368349808093244,2.6604420192370886,1.9411788729142012,2.0135315420707487,2.499684820612921,2.296378774594839,2.7291736328385072,2.571649118195752,2.869778193277959,2.0673344307532697,1.7886196210151613,1.773895310960764,1.5918583393458472,1.509055532248457,2.0788059588248027,1.6966356522526727,1.2896996604368884,1.2458082482242125,1.4481530950444086,1.3577338049084162,1.259368459474924,1.3067871811367926,1.1369800026435668,1.2368185874495965,1.2937676834989487,1.3123449265812483,1.618499076977782,1.3718719398430406,1.3987401153532555,1.2021123660855362,1.3322166093186179,1.1972068110306078,1.1550372250768162,1.1237748629300883,1.1422164094105587,1.0145697984752144,1.0236788021588943,1.1635563152191195,0.950578054111163,0.9760779550714909,0.9349054433889858,1.0132990255793175,1.021964410201052,1.0833007418464626,1.0941645122614638,1.11639810077203,1.2571609474080578,1.2734600536325162,1.0983345466015841,1.0125671585297416,1.0637723459126123,1.0176896481985906,0.9125353749852113,0.8388486613163848,0.8536314187619645,0.8288963082373132,0.8235933004526919,0.7961197038638563,0.7457547484477982,1.010417176223993,0.6778663535596308,0.648795632320252,0.650789041904041,0.5511906735995225,0.661484835444007,0.578452762470783,0.6117726199762542,0.6384972515785698,0.682796974042853,0.7828943264457681,0.7979654730525569,0.9301595000551481,0.9697593211359742,1.1677528283232286,1.0390029611761575,1.0577199231089403,0.9852019372619467,0.8966301698501534,0.8057538923826544,0.7472865112235769,0.6406939128515081,0.6157682939460646,0.6187469835618504,0.5244162977996305,0.6740863237721769,0.6090676682646928,0.6320249139223622,0.7800013430409295,0.7250567805338624,0.7399936023579091,0.7738469545396083,0.7393311231780725,0.7044731072456326,0.7198162694568526,0.8611494372216676,1.0947804104427394,1.3453120598249062,1.1469925844883404,0.9673700278769574,0.9666705371867637,0.9577804946494617,0.8876572137209627,0.8051860503885744,0.704704642005198,0.7425001020617009,0.6863571118329473,0.7848894272551147,0.9393529908235911,1.5029181665426232,1.3098537140198052,0.7937586085899585,0.785125886002565,0.6927092413068732,0.7789223893066501,0.7284216793362652,0.7570486974278879,0.8771936174813396,0.8880884487627335,0.9828600365673431,1.044287632731383,1.0291643440361131,1.0134039732127664,1.2018952219948762,1.0508435653715527,0.9418513913194622,0.8657756892106553,0.8249608281167541,0.8587741509081316,0.8309866109240301,0.820522449903448,0.8259122861887574,0.8737910714567713,0.8740427453571995,0.8667159554218785,0.8361376297164098,0.898099239266846,0.7725202845450075,0.8811522212156195,0.9976755019176392,0.9456460558239391,1.1367964482569872,1.296529996894636,1.7004293104073445,1.9055430775516176,1.5300012200844664,1.5117243027863876,1.6338437151454333,1.3914379423091356,1.2295748292515833,1.1960751053114311,1.3459985946812631,0.8947219824760158,0.8037739273119834,0.6993503598488037,0.6024695415647233,0.6381132434122658,0.5761717625047512,0.5630865317734739,0.5833972456206283,0.5774473921012082,0.6316812588357033,0.6001859295421192,0.6244197361952701,0.6796377795276944,0.8217106150510585,0.7698382782065627,0.8006592261738806,0.9776447936934638,1.0980550515903806,1.0232760957815048,0.9352261565762207,1.006849778054488,0.8873795409625557,0.7501536523597766,0.7812533673697571,0.9336279877141076,1.3607641017122063,1.145096536362941,1.1752121052557218,0.9010608096124335,0.7959767704427622,0.7868576031766028,0.9669883629220265,1.1870461597338915,0.8868259412795788,0.8346772274567599,1.158140640252794,1.0584682821892957,0.8945637042950945,1.2090063362455996,1.311317733230783,1.1889597296791812,1.0503797316948786,0.7935837487045203,0.7712273136986649,0.7615186521907537,0.6611349443019806,0.762049893892875,0.745265025035649,0.8551893232016343,0.7764351556993867,0.7477395640356487,0.7354103293322404,0.7863433852349078,0.6766418770382899,0.7576699649181351,0.9229478046721196,0.8239604061700848,0.7682950182001089,0.8602390217810125,1.074616433273145,0.8675198973626,0.8284912241490499,0.7456159166539682,0.6620352576539323,0.6397195686141645,0.6983814725098155,0.7052592273559173,0.6412287153821764,0.6822467237289643,0.791195086099349,0.7667804589697546,0.7532739006137633,0.9871165601134442,1.2125245746835316,0.9103923705520273,1.0684026746765092,1.4111071686087922,1.4500236431669,1.1142616649106847,0.9078961410716023,1.620553355262256,1.4892099010683648,1.0933117230901148,0.9522600026193152,0.747436021044695,0.8240662851888935,0.9428786719764747,0.7810018118552388,0.8624521810800686,0.8216173750233254,0.7331789738317918,0.5506030791852998,0.5943609054937564,0.5132788368307908,0.6828075445034645,0.6819664905639289,0.7255027247735262,1.3631888473515743,0.8999951190771689,0.9496737883300153,1.1705717455901885,0.9831785434993265,1.0071142278150342,1.1493010419786762,1.089320495825817,1.3117257554129056,1.2904440217974973,2.3784342365229123],[0.8020386507672852,0.7862193421564297,0.6494303958033898,0.5911975477504622,0.5486408278389812,0.601386639220432,0.6004877638747588,0.6421000177102182,0.6960147711680645,0.6775518047465328,0.6986973081434412,0.6760074817617692,0.7241412724916898,0.7458658795565096,0.7953235473092366,0.7720767602943563,0.7906887572469898,0.8404629229379156,0.9196049082076169,0.8784089491777488,1.0394873046505708,1.1027836791996763,1.3126128383296263,1.3117093537340656,1.112499946725845,1.0248696006847324,0.901519150824666,0.8223718558137076,0.7722587643502581,0.7638672211479616,0.8608704347825028,0.7343019409689876,0.7868193932596529,0.8389870036165041,0.7966330894377144,0.8494485532975121,0.7678150392936473,0.8666656905236032,0.8247408723879626,0.9542977941221407,1.0276577607761985,0.9630111947099864,1.0277524597217862,1.2657105979689582,1.7063604997153514,2.012214069311387,2.2653561822645236,1.5926959454944964,1.729428089328974,2.2127886870677074,1.956609538165006,2.4287154859165865,2.271260070270495,2.5467283488813806,1.833595972214279,1.5046464890370528,1.5772964986385012,1.3629293337782464,1.2927074007544204,1.8595663136182436,1.4955345467209924,1.0822946577839005,1.0133750147149372,1.233279284381883,1.1345354175346558,1.0381482144366279,1.0587228694143331,0.9039536893885655,1.0185920277211433,1.057075922333609,1.0782745986737414,1.364960762115344,1.1151656383855197,1.1436833507679913,0.9782403094592671,1.1532407909428408,0.9533583495079074,0.91363847212236,0.8942238375692129,0.9234067202432702,0.8473011669137778,0.8713183918314583,1.0912444595140207,0.8655198491007414,0.896869036694731,0.8167222910074694,0.8417990978368917,0.8706999087406201,0.867888266604774,0.8841066543595361,0.8945347889337482,1.0385059806547907,1.0499929280913534,0.8937873512608498,0.8263156723692382,0.8910463427490992,0.8519859429413738,0.7509016766502363,0.7042983981079322,0.7483487080279817,0.7074409404861717,0.7502086321838687,0.6963471667756063,0.6920768617180203,0.9205239196567976,0.6557497377856479,0.6579048215308775,0.676049464484596,0.5820476143227498,0.6902054818351457,0.5925227188282798,0.5881399296995528,0.6042135186265932,0.6307878086345847,0.6874008400653734,0.711650301044372,0.802153892918058,0.825468082060226,0.9800766187279272,0.8593404725844398,0.8971393755516786,0.8227180978802857,0.761816463202369,0.6936392266776215,0.6554340932688854,0.6140498548624176,0.6056087544662376,0.6303478185904208,0.5585828755976348,0.6633554272388135,0.6284555822190584,0.6329202123926864,0.7586510565106296,0.6928013890838074,0.7212767358236504,0.7456658771017575,0.7601125198777867,0.6917982767185253,0.686292559451678,0.798971413522218,1.0042849930649447,1.177271331121747,0.980730709920104,0.8521415980836644,0.8680714977168527,0.8275153832702765,0.7791067748063302,0.7238080195762117,0.6359459587820396,0.677566628878568,0.6344105567177353,0.7114628689613134,0.9013300432833393,1.4582339536218547,1.2449304667287113,0.6990938826138711,0.6794459587870606,0.6259160905058045,0.6756671295198704,0.666615097243779,0.6844168144412063,0.7728845364055161,0.7961188271176495,0.8680859351106159,0.9193653239336179,0.9181662450377427,0.9364754023480794,1.1200132402720937,1.0552769321405282,0.9249746867896974,0.8415535022283567,0.7718831664274705,0.7765513879817285,0.7517261571575674,0.7385773995758187,0.7466027073497119,0.7827884916645619,0.7953050561663503,0.7893706534867562,0.7499770959134551,0.8184846362026053,0.7198838408707764,0.8033537006130222,0.899563043583466,0.8663034346283577,1.0312064865850217,1.1666807122277234,1.5161089449197034,1.848648849758086,1.4514396426769378,1.4133632247831487,1.6384934586603372,1.361317296413588,1.2071980380804759,1.1608359738042253,1.3184151235449477,0.8721766123862879,0.8091680773710274,0.7212856946745538,0.6363254428116585,0.6557053386594499,0.6068184557251847,0.5936997872238245,0.6189501992191175,0.60244284352821,0.6386103343563367,0.6161271045094368,0.6422852603037316,0.6791227554503799,0.7863968771828473,0.7370454961165889,0.7674502203166987,0.9229853386149791,1.03172320776054,0.9602966571664936,0.883051341496579,0.9749876984183544,0.8380892064960602,0.7203145506511255,0.7453630647913535,0.8712167559259102,1.3045798105407291,1.090987927716623,1.210891945447503,0.9282286727625811,0.7985939985469912,0.7895654526621609,0.9353352257937693,1.131805262953398,0.8702511113495978,0.8249289184650862,1.0965256411361444,1.0143592492674944,0.8707468499639628,1.1257624489089608,1.2211258441387154,1.1477724856120965,1.0496994803230637,0.8028101463887505,0.7856145008870123,0.7652832125528871,0.683808067358506,0.8088963647450034,0.7904439084341434,0.9033349180733534,0.8125437352583478,0.7680147049165434,0.773943493692348,0.8101096073480178,0.7038533858728034,0.7742802693422085,0.9247587530196464,0.8209814819291511,0.778674145764751,0.8537238578808282,1.0622204112590576,0.8359858990088054,0.8003234122067214,0.725998106239659,0.6648766591742676,0.6550948364158264,0.7288077817982084,0.6880588638895416,0.6440727780704699,0.698982948193312,0.7864987607996153,0.7644067852656548,0.7710895008117895,0.9623183018619023,1.1682793605747643,0.9004145296247279,1.0562290345746235,1.3737907732866315,1.4330385571361826,1.121324268057739,0.8989179417018616,1.555659217554682,1.4375927043635965,1.019757811098235,0.8895982417751835,0.7126363790173691,0.7707254379927063,0.8775107681295998,0.7419262779498802,0.8758980137685717,0.8707628151493959,0.7596388894009839,0.5853324321377957,0.6261770278791431,0.5601580336512266,0.7079982634724096,0.7013921397423508,0.7507615129145496,1.357864846353434,0.8883539233811576,0.9432676610777788,1.1494701529339117,0.9419234212898964,0.9809146844702302,1.114577186325316,1.0466180405269843,1.2732474453795364,1.2845884108957508,2.41715087842242],[0.6149885413285394,0.5982951904184819,0.518554737169294,0.42554175405933564,0.4541999313848597,0.5282776390041624,0.5122691278463964,0.5694194378948956,0.6252072391540627,0.5941356644577632,0.6066458627950524,0.5766907162256086,0.6135548216454948,0.6595343874901286,0.7050783624844891,0.6677745503598275,0.6744943779072474,0.713719907897796,0.7890506506168725,0.7327435851996518,0.900971579079674,0.9423565507447162,1.177705956067014,1.1857952759831556,0.9670516957608019,0.8668122898619232,0.72915173305737,0.6705688180869572,0.6440180733049398,0.6343033114171226,0.7434560243344052,0.6206681937604597,0.656684839791452,0.7259699024790783,0.6751625010214571,0.7284122583799413,0.6327851301241029,0.7147965666366644,0.6620492666749669,0.8371035458026634,0.8683203166127915,0.7902284982259633,0.8806855545387616,1.1559110528171868,1.4998263129380647,1.8165262078970688,2.0850800562514147,1.4821604248997906,1.7119561245293495,2.2210168738889857,1.9986905289204917,2.4457317472954294,2.2860081973751436,2.571212634893067,1.8532890244514746,1.4433379814606109,1.457613104934546,1.2866962004330902,1.2037994848375053,1.8031634314756846,1.3618767666277054,0.9428608059910354,0.8771810587048795,1.0771598691160222,0.9506241429343083,0.8866611026697737,0.9314073790000006,0.7752581398638361,0.9269703453529653,0.9684616507139637,1.0307963984664947,1.3381063178890207,1.0358451316670856,1.0492150302621086,0.8712098637006046,1.0164716523959811,0.8249728359231577,0.7808657771936236,0.77247123155093,0.8017467154803632,0.6867323987390129,0.7399527858805702,0.9742959050845204,0.8072097290160964,0.7865723547060988,0.6892222420919402,0.6724395638289371,0.7344877085415156,0.7308625631655572,0.7461849169588929,0.7803660305746314,0.9124987739456566,0.9240695795428526,0.768848343766264,0.7284721342285975,0.7874047803860122,0.7894268644881762,0.6669434131613021,0.6127269235466738,0.6488338274890791,0.602045083422353,0.6295397925859966,0.5968694252139839,0.5792088001859129,0.8999989218982858,0.5486068857095637,0.5807169294829438,0.6262775654841981,0.5178616841168707,0.5946095655832406,0.47344143607512773,0.48379733681064135,0.5011052905852419,0.5022075918732553,0.5739026853830083,0.5836218270567268,0.6635038962392943,0.6795523185859645,0.8537451708047953,0.7232179642955147,0.7613128818439594,0.7304865483019982,0.6830007278352949,0.60681101179448,0.5641137794652853,0.5066569401504958,0.5155768767176535,0.5370726461586256,0.45547458745630554,0.5827520389515369,0.5797955227816163,0.6089593008474888,0.7200326368452663,0.6387243865617731,0.6501454871436172,0.6439430577202844,0.6923365555501085,0.5808317813514172,0.5581417300825009,0.6503240579835328,0.7940438711439423,0.9962578158586914,0.7968014797522128,0.6879093958999415,0.7132571862617142,0.6752454427331153,0.6430405514427278,0.6023489181448958,0.5262615181267953,0.569744371482259,0.5536778579689416,0.6056656466136138,0.7957664793475657,1.350812772401537,1.1254613521887653,0.6024213950280772,0.5913005836932865,0.5244465769443212,0.5708538343974925,0.5664170385014433,0.5862841735426622,0.6438825797842268,0.6721220891751073,0.7571738363189037,0.8201272042571756,0.833781729999816,0.8851889532114683,1.1123953200573098,1.0100936423639322,0.8508248406477368,0.7679301833832238,0.6691641913315022,0.6773107609862619,0.6508347495265905,0.6226470209703376,0.6268820781909269,0.6551151686567872,0.6722630290867371,0.6742878788201786,0.6653288967260591,0.73775611788421,0.6190898970100923,0.7460151554051344,0.8660392433592408,0.8076974876214481,0.9604062819203519,1.0818390382699759,1.4320759295066439,1.8343335910227612,1.4292402413735268,1.3651087653489904,1.5613336329936887,1.2857143584178992,1.1447411267247942,1.15381956307068,1.3377843631901398,0.8865320262204341,0.7986613396778123,0.7131288644696153,0.5957155357788854,0.6439689745675322,0.5532990820412818,0.5250084286420075,0.5652151827743083,0.5467151174538724,0.5618602992867785,0.5375213292282326,0.5480933268137783,0.5823646465152353,0.7073190911346757,0.642806074723239,0.6494652461180017,0.815719009001586,0.9476097716946007,0.8561813536223207,0.8177032137668734,0.8716830005468865,0.765941932330501,0.6385483289644001,0.6765885881353166,0.8583424490296949,1.2622480694214715,1.098469709048787,1.1385245682894551,0.8851055438957691,0.8117586281319722,0.8220141070155632,0.9813534134034269,1.1756424559244745,0.9101681159649188,0.8397196149698541,1.156014858717742,1.0603428753398791,0.9072892263324227,1.218100250976562,1.3161332317242407,1.18262388550188,1.065129618776971,0.8032058285840389,0.7684279979071523,0.772383279393748,0.6607541559835475,0.7585698250286371,0.7520467450779448,0.8415667600895359,0.7720060802340817,0.7267192858417708,0.6818625382992052,0.7459515012919641,0.6037206870081187,0.6493037563739513,0.7897133991404827,0.7021952181082204,0.6679560816163771,0.7257744350182955,0.9624489148573449,0.7207369232599764,0.6927114091057218,0.6325638643796392,0.6043524558260261,0.6086023343997203,0.6747091505663078,0.6630388939049253,0.5938942788481196,0.671719574384305,0.7610741340008134,0.7159807715726713,0.7387810232828435,0.9865900226703479,1.1617907778742518,0.8695052056954881,1.0650890174958243,1.432569729712306,1.465379540776335,1.1063217264864644,0.8554931510295787,1.5892407145115983,1.4088613421722003,0.9659448835081627,0.8229084028068692,0.6439009872682333,0.7033834756425686,0.8129825516473982,0.6833179275363555,0.7584347007111699,0.7760469398278785,0.7062746188476381,0.5088354538187956,0.5763098084744299,0.43245913677421827,0.5716785965400294,0.5576030020425341,0.5700843437811327,1.1684736276556318,0.7709800195332964,0.7744135958368301,0.9931285982038495,0.8474357849415338,0.8889822556708123,0.992285582082814,0.890275173876169,1.2909979112558896,1.3101099735076847,2.5980973978684805],[0.6259976647665837,0.6005563360697556,0.5265428234375418,0.46362359394890545,0.5226018186821326,0.5820965598394015,0.6028188188324208,0.6667509676493186,0.6847713685249452,0.6939052172417525,0.7184771275847621,0.6951646597527043,0.7514154228400003,0.7828554627543074,0.842644451715387,0.8082459530129233,0.8204830356446929,0.8681748809329239,0.9507988890796292,0.9129114922884312,1.0697470647045129,1.1076128878756017,1.3471551300858082,1.3329651509501836,1.1289340133430348,1.0321848012767079,0.9049309492220349,0.8399300169784316,0.807331702153535,0.7961992964845651,0.8994799774961026,0.7766006051422069,0.8072512559837984,0.9011014878940456,0.8469785284503293,0.8987436746718733,0.8081249667376682,0.9022860798676687,0.8605218004054256,1.0670228129867636,1.0861074852689496,0.9716169158926466,1.0790756524400826,1.4435280260653829,1.8063079189857743,2.2388753036071027,2.4968081496983188,1.8337140479208158,2.020414145890232,2.531672291461429,2.3224274184051064,2.755223816794058,2.567826746757445,2.8991378583906693,2.02211431661819,1.7029775856271232,1.6752107741762798,1.4886862447530476,1.386186155148569,1.9921045252085456,1.5427696343411614,1.1035479961698076,1.0569170520228885,1.231501564658575,1.1221079888635017,1.0647540483133429,1.0980195859192965,0.9482011388165367,1.070958429066101,1.1174592101532286,1.1631488197112996,1.4897772139695649,1.1817226006403976,1.2146602108754034,1.0253732060320386,1.1511257037236933,0.9966496512508202,0.9621022761309654,0.965338507157169,1.0057561811709508,0.9001795978237593,0.943258637656959,1.0899884407546043,1.018327926905321,0.9913457579036616,0.8851051463677352,0.8806016418432671,0.9317882061553221,0.9183622209586041,0.9365825812660147,0.9634380325888977,1.0729718247852433,1.076220084549137,0.9280711289254358,0.8735552624770185,0.9412039842206957,0.9183871070847062,0.7998240374845836,0.7549021840569706,0.7651592329639819,0.7347074538397822,0.7623721330881917,0.7694017120343042,0.7259078751985583,1.000302391419485,0.6994975897256699,0.7300503782645608,0.7692205494172107,0.6258410405204925,0.6702748646271972,0.5810375528485643,0.626043817107595,0.626087841900629,0.6415471270675467,0.6943337513113623,0.7105743004280484,0.798806120906342,0.8406987127829512,1.0097712825343648,0.8718694031436387,0.8896957910747735,0.8503970644874432,0.7942571950536209,0.7228243269618543,0.670439435210224,0.6310825235802071,0.5983656149651018,0.6428041672682648,0.5783186346267282,0.7289239401842907,0.7059105381429788,0.7528202804624381,0.896427051903056,0.8288396215412079,0.832886288906089,0.79801753294659,0.826032490011026,0.731563791466661,0.7034431077078189,0.823794769287328,0.9584928218449786,1.1921715261183512,0.9785778742452977,0.8606347792276974,0.8765785717889644,0.8450211417507105,0.7989059841732623,0.74135010870634,0.6657484080681566,0.6967602326035292,0.6570208483735392,0.7091005808142973,0.86401713354473,1.3718147503697518,1.2051384140776915,0.7324205202091596,0.7366738319126858,0.6635948247373231,0.7211970281351084,0.7152841864770686,0.7654838795548721,0.8286162723610893,0.8556549055962404,0.9747716299563911,1.0565318330611382,1.0238675662665422,1.0790805028103048,1.2567366516069705,1.1226825698849268,0.9939771384551416,0.9408021185314642,0.8622228878089835,0.896296474476085,0.8690921284350546,0.8336105155853176,0.8119268621885172,0.8284185109391707,0.8439143418042808,0.8865783732129471,0.8825814775536943,0.9560772726525323,0.8073351470510798,0.951735593430632,1.081853009159109,1.0210687401017968,1.1692457084190675,1.2851105727578291,1.6494984271591437,1.8939697939115188,1.5896287577673478,1.5792444515211024,1.735641591397749,1.471121943962375,1.3035037047758231,1.281780789418849,1.4148093681327947,0.9772773955917952,0.8945397389574987,0.7871620005909103,0.6846815163352782,0.7038506768955252,0.6348338006349767,0.599772445265985,0.6042433267887674,0.5842705241773191,0.5971452047837947,0.5520494320016446,0.5498854742821438,0.5928753768408819,0.6942670172844573,0.6337325013550055,0.636062117866626,0.7951663992708107,0.924609698164351,0.833997623551429,0.7979526715049543,0.8341234813657913,0.7406792308379511,0.61809092446408,0.654826121670953,0.8317103876361644,1.2326190891018125,1.0982696451397498,1.1466519553206298,0.9032112938816896,0.8480631553356106,0.8806135050436356,1.046198070551708,1.1867454583921782,0.9513337044808468,0.8975549357965342,1.1991598522243037,1.0820978213250991,0.9609617501576986,1.295568024337531,1.3546592756494482,1.2056356642280242,1.102241313465817,0.8467143850840174,0.8563998265905021,0.85513087365421,0.7358357506203952,0.8524158426528277,0.8291627491801504,0.9330757930026745,0.8454586352744149,0.7861186890080271,0.7698143125582633,0.8181332997150602,0.6533720450736655,0.6826706954915528,0.8081426817370356,0.7036370198452147,0.670689390532247,0.7255405116263911,0.9481940236132068,0.7012915740751685,0.6784096930785715,0.6334925985842726,0.623386938748558,0.6432598259113744,0.6965337651094237,0.6673707111616431,0.6034592263591091,0.6931568543451788,0.7617450386266841,0.7103897077084754,0.7501289752648325,0.9988966048387372,1.152740917796078,0.8561546523153131,1.0622096432430623,1.4581393222260755,1.4838805224246379,1.100706030857839,0.8495302172283439,1.617020248515927,1.419243439979328,0.9540498520400974,0.8009945658359379,0.6322562037999897,0.6968113461867003,0.8041202658352612,0.679171023623601,0.7258172537236122,0.7688078597956022,0.7118205069008039,0.5455564912266371,0.6502763358795729,0.5109102905807769,0.5857855432507505,0.6025047552446824,0.6029313682053898,1.264586651349321,0.8277668909160797,0.8036556501920884,1.0913487265355504,0.9360699135255496,0.9450636017751518,1.0358786007242664,0.9562573023353866,1.3776383799745529,1.4553903834259598,2.843710872230879],[0.6941757247566855,0.6763980443616152,0.6212028744264451,0.5715950858173783,0.6613892543578732,0.6905292970843083,0.7172974294191893,0.7751929487522751,0.7613780282632575,0.7666098134440775,0.777175702384853,0.7678095668613819,0.8273908349160621,0.8347454014948767,0.8899986356587405,0.8680070141958348,0.8837936858389375,0.9111962752839121,0.9730954402260885,0.9512126280602362,1.0869631366640524,1.1307955832297316,1.3461755010259246,1.3289287023669845,1.1514754937780014,1.0602831386200133,0.9593034798916524,0.9090778339424374,0.877528470273219,0.8761822969139467,0.9464610240168289,0.854243335491034,0.8745915196287191,0.9594462063823592,0.9140359307928341,0.9594074735323153,0.8934593585011745,0.9676982519149018,0.9467291774014189,1.143597183337606,1.15516190695782,1.016762996268616,1.1166906925223001,1.4959563955454602,1.8800872258267667,2.320010570176757,2.5532443304892274,1.8829853614084997,2.0518765259596674,2.552133137184986,2.33386389406397,2.7838302345014196,2.5978220256677917,2.942619472384036,2.0405188109038006,1.7388540401558192,1.7334464595385273,1.5331033062531398,1.4264046339148813,2.01392696925757,1.5787691994645685,1.1276819976177526,1.0843999441252672,1.2342269655384668,1.1409525432818466,1.0984064236400581,1.1055343926261219,0.9700034228880676,1.0745733555177366,1.127896915051881,1.1665691885546035,1.4817911124025576,1.1799134783601375,1.2069537708945368,1.040142317733736,1.1502146606185484,1.020877813268175,0.9928392646044839,1.007143568804197,1.0542084157586895,0.9713587554429741,1.0145595494315294,1.1764903702458906,1.1002465239521593,1.0850654900059589,0.9786145951844272,0.9527730071121263,1.0085836026141255,0.9707883046237095,0.9885978062538514,1.002954357133749,1.0868758508884115,1.0977722394509928,0.9636872234353674,0.9173725398701338,0.9716197067632989,0.9574320280073955,0.8630377261282283,0.8317626893842751,0.8523135744407084,0.830695006794966,0.8682784622715328,0.8853735116818943,0.8587976496255803,1.0999320381467406,0.8538340175894058,0.8668675552418078,0.8964962632421561,0.7785542077248218,0.8009211476842744,0.7381637145336281,0.7815629667262922,0.7547252400354563,0.7738269462742356,0.7907968645960134,0.8064285880832538,0.8687029470535502,0.9073861620945244,1.0339741687148007,0.9088456191322919,0.9177928546569977,0.8964651055508291,0.8556402934822609,0.8074204229612466,0.7709153286615485,0.7711011232093267,0.7311122393483801,0.7787781019316584,0.7397909576400303,0.8804571529312968,0.8516204433219594,0.8892559530082336,1.0272260568729106,0.9784472230687838,0.9818113630398533,0.9470945801147271,0.9627881196348627,0.8787465750448823,0.846676923973248,0.9621145496173423,1.0830482816373657,1.2991441790677942,1.0619282772877134,0.9631996301856072,0.9706126945088274,0.9420605938515773,0.9032040910363593,0.8498173853210971,0.793896865463047,0.8021920074349057,0.779320041533118,0.812042114056038,0.9505156934232756,1.4179116337323774,1.2559643509905565,0.8382073723357041,0.8414929115701809,0.7827094847666806,0.8313043833144006,0.8441324034489001,0.9070165715735857,0.9468352608426466,0.981185010913233,1.0938974268574306,1.1761533126581718,1.1485392339000349,1.1965920492853026,1.3297176057896078,1.2248134442451393,1.126110509873706,1.0861807059523805,1.010932177632695,1.0400451371980095,1.0125052675515605,0.9683265367411285,0.944118274248402,0.9422952839839467,0.9650082157747272,1.0061261021739933,1.0104706946018258,1.0815076850985221,0.9533438675608004,1.087078595057397,1.1996569504800847,1.1480767904540863,1.262655067607951,1.3643937228042573,1.726644403992178,1.9183959576456897,1.6333162972967197,1.6541306089479029,1.8228720582857865,1.5708650299823252,1.3882673175069453,1.3469912068547256,1.4541192777300909,1.0553356702512464,0.9942012527464806,0.8809792479674071,0.8158420513828236,0.8061530087678381,0.7781823301456459,0.7421351066081944,0.7162988086474901,0.6991227932006946,0.7194890956624046,0.6493961345188123,0.6337535891594733,0.6958997684238787,0.7721248129518694,0.707288947101571,0.7089275759029355,0.8618302227151013,0.9590106634937758,0.8559613541918434,0.7871815830563711,0.8603775128005778,0.7450414357065019,0.6611027569574804,0.6886179189300862,0.8265074883950305,1.2571228028037267,1.0966638505488877,1.1990365638253635,0.951581776058945,0.8969925427732578,0.9473705820357955,1.0935908613441896,1.1719411081729811,0.9882984850276223,0.9564884594169885,1.2087995232900308,1.0941297018475524,1.0022601319128797,1.2999260493926061,1.3375917285238481,1.2062891274405447,1.1239240811722107,0.9150084956020599,0.9625835608076851,0.9460385403733238,0.8479582220963012,0.9699708470804647,0.9345503577164594,1.0544181412807034,0.9564553081432206,0.8990154231466185,0.9234013252669035,0.9516767629907511,0.7876358631417513,0.8113514378853787,0.9091376810008391,0.802799318750218,0.7645139881893113,0.8199211251161019,0.9960781671449805,0.7626463500906603,0.7492953716770008,0.7179347142940093,0.7148812661591859,0.7409604528477381,0.7685626226325908,0.7248823238143877,0.6798715225304288,0.7544595401395789,0.7876932306091272,0.7464468492015383,0.79636118411247,0.9829312774336916,1.1230039954846236,0.8721700309027492,1.0561429308568528,1.435278807576389,1.4697096088683537,1.1114856538975257,0.8872231637873422,1.630366520389484,1.456213566595505,0.9451181130451308,0.8001207455639472,0.6799064054292283,0.7538868104906828,0.818776183983691,0.7264548216667607,0.7686547140658143,0.8455354778466818,0.7863185098104505,0.671899717489815,0.7813035669926246,0.6607111922925134,0.7044550210955322,0.7404622951513377,0.7404923602990099,1.4082343520172096,0.9483739643525355,0.909621030362801,1.2242206550670154,1.0511048247995336,1.023978837018636,1.1091405158887289,1.0526157255108302,1.4370348062267535,1.5653975246289682,2.996079235289803],[0.5639116596512712,0.5436339203466575,0.5574720917580301,0.42427542291698206,0.5363035728797073,0.5259228192101756,0.5318958642778451,0.5979244378506027,0.5824299158020438,0.5578140768963098,0.5683398188153905,0.5515134955985581,0.5988326053250619,0.6054772385227469,0.664928825696026,0.6376044444756206,0.6674641098720241,0.6829800928971291,0.7531535310614871,0.7228208127165551,0.8695553933964404,0.9219148069523135,1.144520215857619,1.1586082450487631,0.961464782682237,0.8375096242793211,0.7477349159125123,0.6645078163805714,0.643092623848043,0.6375604484652669,0.6967840197043078,0.6053999812313029,0.6141040832223117,0.7014457913056299,0.6626799695887664,0.7096237213815969,0.6573789223902251,0.7505136033833891,0.7011693379184686,0.9197988552931187,0.9310150993774486,0.8253818872188419,0.930297370291232,1.206436156819677,1.5058347237004226,1.8511312408782705,2.106284124806318,1.5200266776663791,1.7739680655610055,2.274677687567738,2.077109878539654,2.53366772208827,2.3657647118472633,2.6943637372112335,1.9361321867584045,1.4980342855380306,1.4644548025596194,1.3315101519987385,1.226449999290021,1.8339695253214214,1.3465843132128705,0.9152237558824514,0.8516290903357444,1.044002463480845,0.9315696042851864,0.857247213336268,0.9049212444197728,0.7437160154752532,0.8762480450745463,0.9308455799641201,0.9959629212610351,1.309363116286976,0.9869707578119465,1.006759920934326,0.8175837731054632,0.9655140216019561,0.8015147361480965,0.7607043749027548,0.7793430628952868,0.8203859113963529,0.7279394932120682,0.8103680215596982,0.9943839423705457,0.9354211234224534,0.885180266256723,0.751954429019269,0.7096985138362879,0.7670011255613857,0.732258372940131,0.7494700792359752,0.744951285047706,0.8634586287191677,0.8649441163203192,0.7150052637693304,0.6782383655225143,0.725081962346302,0.7542757478995824,0.6367680248406771,0.6060199632100176,0.6182352352621566,0.6013938615892799,0.6535555452748847,0.6601311515903586,0.6498130041865354,0.9383838435190957,0.6554385867328456,0.717844757360065,0.7644560178012769,0.6308444316057182,0.6397778333719658,0.5538454059208711,0.5760327283600325,0.5436209977534957,0.5390627526373749,0.563290913930848,0.5957491588692202,0.6527532366004375,0.6706573282209355,0.8299614730616615,0.6981597628027462,0.7360914901378405,0.719375817028858,0.6803428544130722,0.6009170492075226,0.5639919988985074,0.5522339080164849,0.5670178813331854,0.6136996159409928,0.5723977971219876,0.6926951452136996,0.7106433355643547,0.7517226279316566,0.8658677192819975,0.7863345963143231,0.7902945462110139,0.7348064508699014,0.8160511974292806,0.6780581997823123,0.616073229030624,0.6994267352035276,0.7627857256239283,0.9777360615452457,0.7727195181313012,0.6925725397549708,0.7226101323235844,0.6840748196277945,0.6566464132013716,0.6152994027419995,0.5512405904221134,0.5863925498852329,0.580751229590688,0.6190397420667798,0.787706319565639,1.2741546656353522,1.0652377421200572,0.6018265326810321,0.600833550579668,0.5602747693961706,0.6038787802194532,0.6346293782017505,0.6650544461230959,0.6856812007166753,0.7207398845808202,0.8248578801113174,0.918904312265926,0.9076441637053351,0.9823697017154432,1.1753894856482148,1.0753544084177005,0.9328559387308406,0.879663432148526,0.7721939423719719,0.7862528766030975,0.7506027091842442,0.7102355698298155,0.701216718885037,0.7024071519223296,0.7278311677502353,0.7602438502096528,0.7737813655288807,0.8448263045448589,0.724373696483884,0.871942684381592,0.9935939050550209,0.924750173656372,1.0579032593595008,1.166478120129047,1.508972616961888,1.8539796910345943,1.511807821901307,1.4757631190038585,1.669936049574857,1.4005746693000554,1.2454436941422138,1.2380469455866578,1.3921186556352516,0.9794555249453036,0.9122960431616546,0.8163805075247794,0.7191040038219187,0.7514732803778471,0.6753040256956513,0.6285138566715137,0.6590986276779663,0.6386569265289238,0.6240123211026318,0.5878487873708879,0.5940140979547551,0.6159424109337489,0.6848512169373117,0.6438675928162638,0.6358299080344517,0.7613353722613712,0.8945702106652692,0.7988635140851919,0.7690200741172045,0.82804744815011,0.7491413776159752,0.642655124303185,0.6765919187431739,0.8342654055674982,1.2434065289922451,1.1064422408616024,1.1745506657700335,0.9502521532067104,0.8881681735250443,0.9112616519982543,1.0752174982819136,1.1732260865701507,0.9775852421376162,0.9264274269217317,1.202045417051965,1.0891835424478724,0.9833683168284296,1.2876943870616928,1.3329654638743218,1.2073810427368132,1.1099660754600809,0.8778936176690786,0.8785734540739678,0.8822838015542648,0.7820110586128791,0.8828533443307125,0.8697039179760501,0.9601185434548005,0.8805286803724723,0.8339475912493675,0.7978603115367818,0.8235712966848918,0.6806499998305064,0.6806043045238136,0.7684749076782711,0.6821145399446538,0.6706043642814629,0.6977161484119585,0.9030004305094187,0.6860748764299885,0.6825232219201431,0.6686915916320632,0.6743810244982521,0.6947672802994427,0.7474071956679196,0.7156450427419339,0.6529789491820096,0.7440724903176619,0.7929209837727489,0.7434532903791483,0.7915038803658169,0.9997730080683508,1.1110010597393052,0.8621441049645407,1.059302128214057,1.4358476516205443,1.4675325387239637,1.1029260856008378,0.8821937424742606,1.6462403318943932,1.4854531954575843,0.9501630184769796,0.789319536325246,0.6584669434142817,0.7166190011182946,0.7989715297971908,0.6951924902276247,0.7336769594896255,0.8202503392662481,0.7637560805286759,0.5949867573049935,0.692279271854841,0.5191566154977902,0.5699113792611216,0.5753823530784508,0.5618864488422599,1.166248482609663,0.7665510821061261,0.7159362229555164,0.9889361190597589,0.8512831884897116,0.8947930213848735,0.9463552559671072,0.8933884481923451,1.4096623213226658,1.5639129668354501,3.0845825548290624],[0.5707162422725096,0.5435728976974492,0.5330854841382454,0.3970988581074105,0.5159058769096001,0.511045419057047,0.5176557049987959,0.5864556333830979,0.6007169333900231,0.5910241068403439,0.6110955296897599,0.5882848548511235,0.6516847986703682,0.6604886837196433,0.7432361777119187,0.7164351119276463,0.7493795011719896,0.7874887217988402,0.881009730620424,0.8414956234327967,1.009907023307742,1.0419667629123759,1.2973709191410117,1.3088820654859097,1.0684657985012302,0.9565281421137587,0.8316855288739889,0.762256488984877,0.7347096962834826,0.7228168558842322,0.7860560599665372,0.6839689945543922,0.6993322834123253,0.7923450379853996,0.7513643918994132,0.8097852535272404,0.7384157325948494,0.8470893091349562,0.7929247381385971,1.0378758621378223,1.0275095189703478,0.9070469186328225,1.025006086592228,1.3746067410329217,1.6488285524542396,2.075766698499312,2.366350393554651,1.760301977327964,2.0186366335922976,2.5506964731925237,2.369589156862781,2.762526060916177,2.588587612149747,2.930459151955752,2.0913629464553374,1.6993272540054958,1.5892997868544312,1.4436962903492077,1.3347221524080588,1.949304663702986,1.450190303445333,1.0465208429365465,0.9871543275536515,1.179094338070036,1.0519001735508178,0.9766733897692818,1.053977173319499,0.8702125734782096,1.0028123988810425,1.0371888752011642,1.1221528473456637,1.453750448556156,1.1185674072331204,1.1402800885517572,0.9516187900850007,1.0531355099658193,0.9239323368088098,0.8847112695722802,0.9034184397824406,0.9396500100031883,0.8478270142420259,0.9224848687278745,1.0123833145170882,1.0506540075159945,0.9735715568686492,0.8366298214461597,0.8175867657156702,0.8738633101530946,0.8445525055229589,0.8424571957923794,0.8590331885534075,0.9679136414212787,0.958209699314341,0.7997891355378686,0.7571900984671102,0.8108463337606059,0.8299997258125894,0.70307240362687,0.6577964045283293,0.6496298537647235,0.6529056209429932,0.6799846211148177,0.710045676081254,0.671045040903539,0.9944622911666622,0.6719577743343392,0.7589585745905134,0.8024919817853617,0.6524563157513914,0.6409632061377227,0.5521734339881933,0.5948032777134954,0.5467918904209454,0.5594327149337281,0.5947024947483996,0.6333648426283387,0.7143251072720591,0.7591055522052776,0.9364100523219356,0.7909294829107961,0.8202363334934842,0.7767887564801007,0.7251508618400304,0.6264673073693394,0.5773476471305757,0.5592145612592779,0.5666909805916086,0.6271778383552719,0.5810542309574918,0.710890218869758,0.7401368107329711,0.8097251298254075,0.9177275281304221,0.8399745688272956,0.8280074653855023,0.736727942431136,0.8144007581553965,0.6723750500922376,0.6140573918789527,0.7278341677909306,0.810268750495957,1.0571867712046992,0.8783148903640656,0.7695015004860798,0.8076288506797006,0.7613692957368545,0.7149126765442447,0.650791687365951,0.5809691579776131,0.5904240102471051,0.5993495163491414,0.6118870393008443,0.7783751965683154,1.2619479829436688,1.0616172696525945,0.6114884654999213,0.6300099284953558,0.5818069338827871,0.6425621677461161,0.6612637015756087,0.714335568101026,0.7459644243012234,0.7754436305306549,0.9068863504771605,1.0353294536307303,0.9808063593961796,1.0661922006151792,1.273862011846274,1.1227683147981746,0.9531841413143106,0.9080047252775636,0.8074920623161775,0.8531418714416084,0.8151054780825864,0.7769025622363452,0.7492795183388258,0.751979962676426,0.7699919705604821,0.8359596824234437,0.8601401042384009,0.9273932438220136,0.7776530470233479,0.9536866530557189,1.1009824066609517,1.0183762374130916,1.1742497208209222,1.260666876920531,1.6082914678126343,1.889987067738901,1.6008896464786664,1.5961975778979771,1.6889987564838278,1.461565284865806,1.3188297726072489,1.3372619491793083,1.4832698210631365,1.0695266163534607,0.9737350935466084,0.8727935184382976,0.7501745448443414,0.8083286684775359,0.7029967209839278,0.638210024966097,0.6919687365007962,0.6754360149583241,0.6184187620548315,0.583066934145298,0.6258514405602676,0.6140545770377797,0.6684616363664244,0.6428295222483369,0.6326521497296821,0.7320148829654111,0.880641156491652,0.8067432061740977,0.8018584641231494,0.8359439216173727,0.8020305650552877,0.6905183351955753,0.7196211075784095,0.9520763762972697,1.298764398941319,1.2153994423089474,1.1932033476676929,1.0125008641833073,0.993545601927531,1.0077927198943855,1.1969582684805404,1.3168827599551578,1.0844459634617396,1.0360776255942072,1.3356633266001379,1.1997827519365105,1.0931684588685664,1.4560610259292366,1.4860258628806386,1.3175108844352335,1.2010920866923984,0.9506528920044883,0.9393555831720884,0.9774138071418411,0.8603307997766544,0.9466609889970048,0.9354320784135851,1.0113374074091497,0.9402295252144448,0.8727716844080172,0.798268966497499,0.8164641054074109,0.6786636282564291,0.6541325239320424,0.7272814635142074,0.6489631254608572,0.659378503150385,0.6623484084013489,0.8812896622222007,0.677417615493359,0.6904120686361898,0.680430867985017,0.7084026817120825,0.7517111029095196,0.8243069399680013,0.7890371292569459,0.7093912899580516,0.8296103585264466,0.8899133665249905,0.8198837127927597,0.8615781855409839,1.1169314288129981,1.2086222756685652,0.9283579657722809,1.145186240586656,1.5787245358276212,1.5761072879794957,1.1738395380543294,0.933782995633407,1.7100023430342686,1.487751860916904,1.0357074233919459,0.8326431666483162,0.6768630814548009,0.7094960952814472,0.8235375962505445,0.7032524261183962,0.7421503424593522,0.7855955152749229,0.7674175369370053,0.5931913874707423,0.7077057934080425,0.5156654107102593,0.5424097462082342,0.5554367378824089,0.5311531665144889,1.0915133705270392,0.7189904024650923,0.6533040309375394,0.9167062325235706,0.8109591660129472,0.8630598496676151,0.9149676434275752,0.8736411812877253,1.3882626050866917,1.5087737703668798,3.0287898605590664],[0.5786354906272698,0.5674353741063252,0.6073695537558761,0.4772800039104525,0.6277683420974963,0.6206210477933553,0.6767448962633783,0.7598217994698759,0.7406130079918123,0.7544900916310996,0.7815579121756561,0.7762100079716306,0.8502419710410691,0.832706161610638,0.933022389246446,0.923297607230681,0.9538250938748054,0.9921445535775841,1.0773717095783646,1.0481441156510243,1.1926794871995792,1.2116585179755939,1.4354768879994857,1.4282120247404646,1.2221223071158926,1.1371908088189604,1.0246588574575752,0.9692580162543117,0.9502561322168511,0.9446565839146916,0.9938289262165997,0.9145006818553034,0.9302352485539798,1.0165341177285205,0.9795984413117254,1.0268079924376101,0.9657739067893816,1.0497351942216229,1.0065608785913633,1.237112003942361,1.2133516896293146,1.0843964375331159,1.193889693394814,1.5890505645099566,1.8774767443557212,2.400891035722089,2.660639993294121,2.0179442253180158,2.286978703010818,2.808183948971677,2.586521732375877,2.9839625236774063,2.7829923776193133,3.1475617645657983,2.210681653353829,1.893540321500767,1.7788959867675953,1.6091588585728527,1.490949925160233,2.046956600636881,1.5812670234961421,1.204421779866333,1.172824397936611,1.3389901604345535,1.2132330848302575,1.1586585558369151,1.2349001642571877,1.0796854353708947,1.1772781398905885,1.207890139554557,1.2845182566137692,1.5934614832815246,1.2839205329720287,1.292719135330423,1.1462329861097418,1.207508806923307,1.1189835684933966,1.090307832496664,1.1090384618790605,1.1382037397782252,1.0698417506000846,1.1201374546519625,1.1734851714636496,1.234194408914481,1.1848832744957578,1.0536486017693376,1.0316894189877768,1.0930473686401887,1.0558901475489557,1.0642920043559168,1.069581130913875,1.150044008010139,1.1431976828596095,0.9989305609278738,0.9551047950396336,0.9969951509063422,1.019481790474005,0.9217875961128608,0.8732685975670322,0.867237180844207,0.8843877702252747,0.8845285540266101,0.9295011587937039,0.8738896351577942,1.155177155086425,0.8613627208789227,0.9120706501072388,0.9572760683031819,0.8122184247444513,0.8087277441217274,0.7288088982224564,0.7889797238430113,0.7502351398527151,0.76824373968581,0.7899806736199532,0.8238755710075516,0.8966826760560338,0.9495080777209691,1.1172304234103296,0.9896690965276147,0.9990303044497163,0.9396530765234558,0.8898648828182066,0.7846056916417941,0.7318169289077618,0.7530640704219754,0.7160747460816247,0.7938404179686307,0.7597424087024433,0.9083851845392944,0.8919031434103426,0.9640969416296306,1.0938612307620084,1.0436834860577189,1.0206501515567996,0.9288861174489398,0.9683822959135172,0.841840828561089,0.7863304704628222,0.9287083059393552,0.9983441211300165,1.2519074313196086,1.0732222733458123,0.9761372012771052,1.027215342971242,0.972010948869293,0.9206267809188333,0.8502094687418792,0.7931077556522197,0.7778899334938605,0.7680573248828741,0.7728457678401148,0.9010387285588237,1.3193146081078817,1.1810059131060564,0.8231379006007914,0.8518838296908611,0.7923872705321616,0.8616880029433046,0.8561984112785912,0.9297522342181793,0.9740771280984415,0.9913896816213857,1.124845041628502,1.26107677376476,1.1851612080035823,1.2581560362301267,1.4288908046949216,1.2863527329500495,1.135463716753932,1.096637775415588,1.0118092106801964,1.0751500545676085,1.0411045327052417,1.002891923127126,0.9734192475199621,0.9730326216422496,0.9982632078037629,1.0643833025419152,1.0919371841613517,1.1503535049420512,0.9892236001398772,1.1706884005751697,1.309643056039334,1.2337973117068746,1.3691187923356092,1.4405922630852481,1.7960468376990417,1.980667365855331,1.7524772302921567,1.7708532325332922,1.881594896905678,1.6365546111786091,1.4671634508891982,1.4545115263945019,1.546443177571655,1.1434748980709966,1.05880860226431,0.9428343118165439,0.8537197382597633,0.8764350819336779,0.8149175071807531,0.7548145646861053,0.7551027692697755,0.7397311993701882,0.714744030932941,0.6397240171158941,0.6522942508222699,0.6775858313697217,0.7154944315728362,0.6619053802929924,0.6534486351400104,0.776062454079929,0.8972640470911792,0.7927044148338624,0.7698726430069548,0.822267920328035,0.7688790287231921,0.6734240106877268,0.708633395532901,0.9004401309030715,1.2787132487895494,1.189173092997568,1.22035356511174,1.0377891434782849,1.0268021209989464,1.0458750650951611,1.2318505153359556,1.3162762277721105,1.1090301737370494,1.0721482264162647,1.3618464095363805,1.2135742107496696,1.1246064338902895,1.4679705415852806,1.4856994963317063,1.3138780952737739,1.235501223426336,0.9862126749972966,1.0342937781865558,1.0445859931794346,0.9292474928550669,1.0442859117632177,1.0165681868417145,1.1182172275796747,1.0254946008559669,0.941515230291281,0.9223331977774671,0.9314837576402949,0.7716370845444974,0.7609289691948428,0.82924091490587,0.7341300936401125,0.732102808123996,0.740183547748587,0.9235015555174478,0.7186589244535883,0.71926133175948,0.7123822231586232,0.756484914062974,0.8021060391230211,0.8502160199020729,0.794659676570825,0.7296590812680026,0.8522514473190506,0.8859872432854532,0.8191432354892891,0.8775115528265985,1.109404391358867,1.1864121816844275,0.9182661163809581,1.1293345341755496,1.549528033951834,1.549064486463127,1.1525738856595382,0.926151950151457,1.7148090876094326,1.5018990520061415,0.9986854917103365,0.8033368300203971,0.6747083534715469,0.7248342326339464,0.7995217313923025,0.7054177925418397,0.7306415160849847,0.8173769072236144,0.8182119600027702,0.6669930292576044,0.7983449964997161,0.6493228042025394,0.65049508540895,0.683560884638646,0.6581853979270592,1.2552351121712004,0.8636643567146629,0.7790608329374017,1.0751832975705573,0.9557216577308502,0.9353940216784606,0.9822708412287214,0.9358555287600614,1.4489522293839259,1.6741698104420517,3.2169596197440007],[0.796284909726437,0.7752785990144261,0.8647717717947122,0.7303167537353259,0.8545666807165959,0.8241199701649047,0.8633841011342137,0.9215637493008608,0.8476866004858756,0.8180865320257072,0.8133857137932801,0.8149615189787224,0.8475862617887042,0.8148926086912497,0.8768881976296258,0.8732779842514912,0.8957736644294161,0.8680452512611171,0.9102170356378037,0.886353706047357,0.9978671866786755,1.0366192407163235,1.2555953048130415,1.27024947119988,1.0674416839843117,0.9531823131443298,0.9058492831149187,0.8605867861706642,0.856218003419189,0.8864899453241608,0.8741528494175026,0.8569822419956117,0.851186990931417,0.8974660159467507,0.8736412969248786,0.9005117362514553,0.9006686265150303,0.9612722371525256,0.9287919156023344,1.1792774541562412,1.1295639976755592,0.9655356859232911,1.0800186932512212,1.4456294623728299,1.7017434332761514,2.167483180611856,2.4132170409954674,1.816845860849024,2.1180572765316064,2.650682034675711,2.429918026620974,2.873221036050196,2.6668111710674616,3.0336910135183146,2.146432664052229,1.7658700073285023,1.6484204075495033,1.5128886874168748,1.3866680264328979,1.9721260960085942,1.452356475778137,1.025865116374029,0.9887396915917238,1.1349786541724347,1.0250392841042149,0.9947092216959734,1.0482365547684864,0.8995594560761561,0.9957643856204714,1.0574604156252883,1.144515159241789,1.4641728735284232,1.1205232103896607,1.1075785204610769,0.9728993614185022,1.0316167184832257,0.951156715428414,0.9264523118759798,0.9646365840514061,1.0089938204266542,0.9688551314401703,1.0511672428950742,1.1378213229196956,1.222417245524773,1.169891982656312,1.0051151323496856,0.9358391793290602,1.0175701649150786,0.9213509729965565,0.9363767283568188,0.9130290115791353,0.9986911135153146,0.9916663354393933,0.8614990835502616,0.8523561221925923,0.9063425319220854,0.9886678136801812,0.8709161639447817,0.8688003246711961,0.8962103985880621,0.885633929190164,0.9477204538080138,0.9654261408894266,0.9573935692437315,1.2085626715664712,0.9776523965016493,1.0505221395776696,1.0974435138996923,0.9981067774720158,0.9485911707031468,0.907899100647222,0.91924675089274,0.8956921928492008,0.8765232765379195,0.8275269473845861,0.8576869994394738,0.8541679238505467,0.8714960904494129,0.9814416597610968,0.8844061031756109,0.9187835609801075,0.9208466469295279,0.910723307613373,0.8536170759188724,0.841216437185323,0.879357799568762,0.8817857704762346,0.9269036825032475,0.9375704089007777,1.0565103600011194,1.0680184164936188,1.1218972260576374,1.2253876085263429,1.1643451061014563,1.1528024529433074,1.0509973897199225,1.1298766595604373,0.9884946642641288,0.8989756458652688,0.966347496536067,0.9458125488008107,1.1413786850630085,0.9458568356039495,0.9130659462608326,0.9491059757861855,0.9114701965301107,0.9014056959488089,0.867992520045145,0.8526206195377753,0.8513084524915487,0.8578627043226398,0.8771093352094996,0.9979922460480799,1.3543422815057633,1.2136747746886882,0.8973041739210773,0.906196110206355,0.8781082643235387,0.9024943268763862,0.9459524091590188,0.9986253745855351,0.9679566235121133,1.0002923439961662,1.1163019138134738,1.2676440119548766,1.231379651364154,1.3302794633808013,1.488964474469874,1.3998423218185858,1.260230400599336,1.2237853979128932,1.1112931576756089,1.1421797178305328,1.0938164625272007,1.033689667886416,1.0169548428105908,0.990049221892367,1.0134043805256339,1.0689388023807715,1.1305158014925014,1.1879065138015277,1.0740790864990049,1.238101043603476,1.3627889465196008,1.290965628620742,1.368922125457387,1.4181969452767305,1.7722996517501926,1.9863501609045824,1.7576714577536152,1.7880967586172045,1.9596234593831636,1.7240711018407715,1.5565471010556733,1.5394162469027635,1.6299717211054916,1.2452676275496677,1.1926929146638265,1.1077662598494045,1.045515293463149,1.068891376784472,1.03193128494357,0.9739291239525448,0.964291895543369,0.9554183445615592,0.9473149568491752,0.8773640996734652,0.87094904579103,0.9143275514922026,0.9163840976334822,0.8706466362071885,0.861942191972202,0.9525649684282737,1.0175868308139593,0.933205704832252,0.8989070391948576,0.9760451188520183,0.9315601881066321,0.8639964931368488,0.9041037583933458,0.9954873571830398,1.3921897988373235,1.2784360329086506,1.338142908288821,1.1474039096105675,1.15796982991228,1.2054896558043624,1.3566429283052384,1.3879664507587144,1.2365801328780912,1.1935641286348833,1.4228035918576474,1.2872279211240425,1.2334313523683593,1.5078829110975949,1.4942286296773521,1.370157520045125,1.3130326030196364,1.1415688992234736,1.1779590658847325,1.1873323482505347,1.1116187221396825,1.2184858762120336,1.1913145935372083,1.2811031243440159,1.1909070697993969,1.1163959875824399,1.119539637175028,1.1150530202770763,0.9906876003940246,0.985004290688067,1.0229801555062261,0.9496784005759318,0.9543191161111488,0.9578921636913723,1.0793330180150402,0.9225072830592227,0.9374413968780276,0.9531743537199243,0.9631138418413007,0.998623747639576,1.0013153627365148,0.9705137222486093,0.9278103489075403,1.0128327383823876,1.0176389692807082,0.9731084151805237,1.034356526722264,1.2159031435864383,1.281624403526981,1.0562714897660352,1.2150689395369279,1.587047237559704,1.5940189266652274,1.2367821907477439,1.0441542453089543,1.7443734813716074,1.6162777105721033,1.0946068103010165,0.9334327465485747,0.8550265238883561,0.9171677382862177,0.9230200114372392,0.8786140976405841,0.8857752833492769,0.9899801307070518,0.9929549559815254,0.8863877991885226,1.0012691514530592,0.8673981540129977,0.8632543514230878,0.874166108514956,0.8590603346708797,1.3143872216769403,1.0079673513926561,0.9483321473694073,1.1966691069355655,1.0872922739100548,1.0988468237525733,1.12697423108743,1.0805391210667803,1.6350037134643203,1.9485254896919733,3.526152494983455],[0.6309352087145006,0.584702483643586,0.6262645057123252,0.4561536066371469,0.6042996056444996,0.5642717208078466,0.577245277797922,0.6528952808513958,0.6129084271593551,0.5843855340186016,0.5947072331905577,0.5941909706514414,0.6321648288557347,0.6213380852921895,0.7063753064869442,0.6788877990643346,0.7154971970997182,0.7330708617292996,0.8202000929108553,0.7753480061949685,0.9334701424297958,0.9621223650559597,1.221304575060134,1.2633093583621136,1.0017905992054497,0.8769095193705206,0.7982834298476823,0.7093583015315542,0.6977416867923073,0.6820915731832882,0.7220367417961707,0.65250001500591,0.6600159808188393,0.730278993692661,0.7029690922842237,0.745049904397745,0.6977314493553564,0.7964174063837017,0.7382873743316808,1.0032462514645306,0.9631774353740252,0.8689815866217317,0.9818882248138345,1.2531136691719116,1.446716977765775,1.8126531196637745,2.120131080644836,1.5894520755400336,1.9041041712827078,2.443764821598216,2.296030984285758,2.6994898923175588,2.5209573454958405,2.8748026064937164,2.0997383502665934,1.6119463292090632,1.4266032755732503,1.3831101207278134,1.2607974872092091,1.8901316533735655,1.3159327543269594,0.9317375340959407,0.8896218201247514,1.0964935314058994,0.9602282612304147,0.8755722679534468,1.003346440274892,0.801487773408073,0.9213251749247046,0.9638251248731643,1.0707134148958264,1.4103566300939954,1.0448839741155682,1.0517827333191505,0.8831145825778797,0.974878579221357,0.8579295086398709,0.8159330174806564,0.8497359558436861,0.879103957304158,0.8075251227632532,0.9000670536232901,0.9537940773904711,1.088913939819974,0.9727796338971587,0.7924510145227875,0.7746763794617192,0.8312355741765772,0.7861325652578912,0.7963192570304962,0.7759686355167799,0.8863321891909431,0.8755290323610538,0.7335567866487185,0.6981909277473309,0.7544855746730431,0.7959972811697305,0.6817719200821047,0.6427685886156396,0.6344478876330762,0.6519393397741751,0.7092179906109302,0.7204043462259017,0.7120439470510812,1.0322779502207193,0.7264361667667161,0.8366060504446211,0.8905588502657629,0.7670425019505241,0.7184656578713543,0.6415259469499095,0.6546944113776377,0.6128719479471424,0.5952921468050798,0.5943583504478896,0.645225439967852,0.6857146836578534,0.7382641386174089,0.9228685749611484,0.7641281085176493,0.7960036331417831,0.7785411137688432,0.7507739045206278,0.6332924201463137,0.5993414672421715,0.6174571687537759,0.6543708101193998,0.6922197160070555,0.6741497135988522,0.7922496281048701,0.8348515079969708,0.915348058939291,1.010063581357077,0.9201216906743226,0.8944528800546802,0.7783037890488849,0.8692808470519825,0.698743716585527,0.6001598233997796,0.664810662356758,0.6954307815311611,0.8965010619995758,0.7751611021938193,0.6943644968482474,0.7518654610147957,0.7043380861782249,0.6796832565524288,0.6409497537539756,0.60276827393235,0.6013920296720886,0.6252473896301188,0.6299620301141882,0.7935603262689491,1.1722302842479804,0.97402728918741,0.6161961549625176,0.6239629241720482,0.6131941066377528,0.6564838981102412,0.6868670056620442,0.7245843502871326,0.7248108743708573,0.7278341050964389,0.8540479677791842,0.9979586074460763,0.9317199463053608,1.0571184033354404,1.2695378476956358,1.1512937983690916,0.9546295422559327,0.9322099756522839,0.7974801017620466,0.8448481758511802,0.8066439706814961,0.7644789893519945,0.7455766384510056,0.7415971115692719,0.7605714925328779,0.832471245373634,0.8770010872814803,0.9166840407710549,0.8081563260177776,0.9937039735328763,1.1421415139781639,1.0421743503026408,1.1656429815796936,1.228086683185074,1.5525070310253415,1.8602795241634986,1.6000892271851155,1.5915154026336915,1.7058316049056779,1.5015901558597442,1.3849338441090613,1.4162121158295642,1.5340629784280286,1.1397579108350837,1.0547820295138377,0.9667902292515632,0.8548331792222901,0.9186923003022914,0.8266417615431134,0.7653194815675841,0.8167256316624486,0.8080406895059342,0.7551916092175783,0.7109193361044261,0.7456229435984595,0.7382258517561219,0.7625052483656284,0.740210591434164,0.7250222905410324,0.801193896737077,0.9245726608746135,0.8489105551945547,0.8497735815199491,0.8780503334120003,0.8579959843137005,0.7689241042289778,0.7998260923768896,0.9788803027117057,1.334883944125928,1.2493709089588592,1.2591478446041802,1.0968685493893162,1.0907819351918149,1.1053478663487306,1.2902843990474857,1.3727605783683867,1.1758836966427753,1.1204602363536114,1.4096255774657673,1.2634777389445722,1.1731749124429987,1.5131800455686548,1.5224723013522596,1.3568217317105684,1.2526510526506804,1.029906067374808,1.0364067871200247,1.0728249506489838,0.965684189431214,1.039833711615102,1.042175973231656,1.116064303330178,1.0442607728542277,0.9736225255472438,0.9232418480198067,0.9225179963419202,0.8044816604995962,0.7820909540040875,0.821976949705164,0.7531127144771678,0.7727570730922303,0.7604193328298823,0.9427546337471564,0.7705739722552277,0.7820443387982825,0.7825401199491432,0.8361709249861842,0.8787963264390516,0.9244119303845009,0.8871174130465421,0.8181970726948283,0.9335980252158679,0.969751429689602,0.9080229481279621,0.9483753870968649,1.1767725207006772,1.2435529013039837,0.9756875401711754,1.1630681786563595,1.5892915704737751,1.5940360590821134,1.187950150144958,1.0024404126042072,1.7781577649950107,1.5883067392402277,1.0955456708120852,0.878004984765395,0.7715479146081512,0.8102470023555388,0.8884831592080906,0.7950194794273303,0.7748994507304162,0.8431534325231945,0.862318301074236,0.7053632166348649,0.8150283289594038,0.6236093475845143,0.6273999850732584,0.6472307257029634,0.6310531865053917,1.0714807128300572,0.7719141050553262,0.6961595652525098,0.9125292096483659,0.8325406927337922,0.9170674263729712,0.9253194091632501,0.8843333186079901,1.4983587509464311,1.7713020982599885,3.390307895602222],[0.6010978978047821,0.5508345141547858,0.5902315334970362,0.3983464679625998,0.5643097493386404,0.5236999429258015,0.5546041296997815,0.6401281490869936,0.603399487236214,0.5894003434599653,0.6120565203014531,0.6025608692749884,0.6561372600360814,0.6497167418137609,0.7422072749475039,0.720276379584245,0.7572792425714387,0.7890477919677977,0.8896942237248626,0.8426977284449411,1.0056546398698711,1.0313113183970548,1.2901579858325891,1.3251508354698105,1.0640890137618826,0.9399764796964021,0.8535687839080884,0.7667409569319122,0.7543107763483782,0.7331624281799795,0.7847028446644829,0.6975098791466919,0.7081009603455949,0.7926352506482359,0.7687818244352455,0.8097843181171762,0.7580879630159972,0.8652338204281873,0.8071253567168948,1.0807421130599781,1.0373374839043639,0.9367579778557323,1.064606652485542,1.392620136713696,1.5517371711616925,1.9824490469969696,2.29650287234231,1.7633806651485608,2.101981528439703,2.62686453927444,2.502909147516435,2.8791703233537738,2.6814428790606306,3.03271370689386,2.2090421759256373,1.7709113994832393,1.5489496593321852,1.4803768282535077,1.3513928735322485,1.9854789154509094,1.387103224483839,1.0188791345454749,0.9798653856813545,1.18489061634377,1.0452876881811128,0.961368439510125,1.0854517112330615,0.8768922595559379,0.9914277973982865,1.0084368076243606,1.1146687984450578,1.4825327491346447,1.1044262666850835,1.1407293447780098,0.9505476148001794,1.02887096916329,0.9364809656437628,0.8982949781336981,0.9328626803315414,0.9708024464733553,0.8826647566782811,0.969642465408116,1.0046544453088284,1.164817692879542,1.0312942792898439,0.854831385620963,0.8471633255255989,0.8856479397822079,0.8587030418349559,0.8662428690091433,0.8497301893447543,0.9546109259183119,0.9465947376834113,0.793765313468377,0.7481248943463294,0.813502230446226,0.8339046514570759,0.7175306765800397,0.6690819348517653,0.6455737896098683,0.6791350674770096,0.7287032333957548,0.7549896442171556,0.7355826072672514,1.0737741813282429,0.7511614300349714,0.8638349688008828,0.9221392155564887,0.7795252386998951,0.7270960460734349,0.6335783344681604,0.6631111837546565,0.610136497753172,0.6056593161472458,0.6090327061270139,0.659120826387748,0.7144886824567039,0.7726032116937962,0.975258361552345,0.8082743944294631,0.8302627888146695,0.7947707646079797,0.7542288512713939,0.6361181990930653,0.5944347876844299,0.6109385402492664,0.634858698147378,0.6871633241434294,0.6795038677980125,0.8164325921411467,0.8540507027841805,0.952898378252646,1.046002718988238,0.9629299907814651,0.9259844091916456,0.8023018951983433,0.8747201203314257,0.708756730320321,0.6169495275468303,0.6991248621775149,0.7421466037906976,0.9681970155099181,0.8455842159845891,0.7479500337155701,0.8044576395472816,0.7589309755177699,0.7202818198224147,0.67262311841757,0.6258138631220717,0.6110361199158014,0.6253011272570184,0.6248848684503913,0.7924866819087264,1.1892142914219452,0.9799960287929638,0.6217566952178397,0.6372336080041399,0.6265864732541266,0.6842424066276103,0.7107142057549727,0.7608517209445947,0.7704172292472574,0.7757019504251723,0.915431098106079,1.0638258195439498,0.9768422954431082,1.1022183077140606,1.3169134702457648,1.1795916598997565,0.9736573165051843,0.9589653828417922,0.8277789191640521,0.8933254292621164,0.8574042168219345,0.818830047613393,0.7918109518715191,0.7845705093829756,0.81154576277993,0.8934501221313128,0.9395194720783949,0.9734104739533133,0.8551463563511709,1.0575143747367886,1.2133634726409255,1.1034630357727373,1.233404147904764,1.2842525251735912,1.6180727270412758,1.879482467492125,1.6821674107507822,1.6896721600575704,1.7429117134253667,1.5375408699037678,1.4293460124721364,1.475493769230782,1.592370150718982,1.179874715897956,1.0820397224687264,0.9848740204129866,0.8588166993896192,0.9364647889275084,0.8275315141624932,0.7546429413533942,0.8119723581895377,0.8053044964530444,0.732867624226082,0.6810626399540242,0.7308100726607549,0.7182669152062353,0.7379967492602284,0.7153140449572842,0.7005187565842408,0.7798715201018077,0.9219605813385617,0.8415376141798566,0.8369750885472412,0.8776600752902878,0.8648165862799687,0.7680559577467421,0.8101356559077136,1.0352493848130335,1.3827024713912133,1.2966374687249573,1.2575385502191163,1.1175386416444897,1.1404174032388137,1.1525220216850025,1.363359257606163,1.4452961802248863,1.2224627255510687,1.182875535128454,1.4860524041684515,1.3304685812227273,1.230633520098091,1.6100658369788192,1.6200218215830822,1.4114708899358674,1.3024311539403586,1.0596122776073533,1.0644677769998767,1.122983714909792,1.0056132637629216,1.0635172577452705,1.0562837001053522,1.1315372231696277,1.066469418016208,0.9795453529908753,0.9149567909263305,0.9092665981321507,0.7910383073730647,0.7614324801399223,0.7945484024370247,0.7292577090377291,0.7565944619439924,0.7375473992997524,0.9251606309507737,0.7546944006465193,0.7711364662049423,0.774743523260553,0.837136041765433,0.8904153016634085,0.951826679460686,0.9089239256627949,0.8245196510371927,0.9641873305222473,1.00526359634995,0.9275837815006397,0.9665417908461761,1.2352330085651446,1.2993041355949593,1.000175076038643,1.2008266730350106,1.6739214374907336,1.6602749864635995,1.2190436030132867,1.0007970383265719,1.7888200893371333,1.5637544167211366,1.1194787787562588,0.8834700603581049,0.7506092903683138,0.7772255616396834,0.8747117709111726,0.774879516792347,0.7574033387871087,0.8035398649154569,0.836783510246112,0.6728852964302647,0.8047807427700718,0.611447062087236,0.598948947765861,0.6300127522639941,0.6137109872696218,1.03607976247695,0.7449491235178659,0.6587979999447799,0.875395238628911,0.8052030296575133,0.8692926983978475,0.8952762319954954,0.8472425449588655,1.4388638884667186,1.6710581240074318,3.2744659329440498],[0.6418353316133866,0.5499192748405141,0.5730110182939324,0.36621446341186803,0.48933059820150143,0.4628262025265937,0.4882585461261751,0.5654778357631014,0.5275541257002261,0.49431207191796195,0.5225135132498612,0.48935352751617267,0.5542679330886542,0.5567578119238416,0.6407709681883254,0.6058727452682581,0.6514287055581418,0.6858549071085135,0.7913593545734846,0.7454226988305942,0.9096547625344801,0.9419852665636389,1.2036774167441566,1.2554192136897389,0.9847702429673704,0.851886708104313,0.7689667359835913,0.6697324827586741,0.6522577183880568,0.6191750111041162,0.6671321413965332,0.5853488283673421,0.5896280614921334,0.6830144826070026,0.6593469035622938,0.7083833617653802,0.6475375020420805,0.7487086292415365,0.689749787696355,0.960741043916557,0.9240044842996497,0.8401417380283775,0.9533899753442894,1.2145601582107015,1.3955337638942862,1.7182507367895548,2.04967589411242,1.5456014949812351,1.85165045021106,2.4094641516420863,2.287338664433997,2.643621658382225,2.4792897213322456,2.7882529353003185,2.0782075558242954,1.5847884047311118,1.376547516698918,1.3540282017343868,1.2378310295410027,1.8945443267248314,1.2969153202310602,0.9317457567656156,0.868368355114058,1.0833345978791322,0.9498317362858107,0.8525671376854133,0.959964229323764,0.7681568976503973,0.9078899399570763,0.9265104459563992,1.030370639278085,1.3752427164004852,1.0069466643271903,1.0488510577460501,0.8458823037692117,0.9362284579362355,0.8294690272629553,0.7826818466810808,0.8171535227204929,0.8554741653537858,0.7621505455603333,0.8621596175519824,0.9004978647003916,1.0576351295626063,0.9233880412372912,0.7303435540686712,0.7256486853898545,0.7874806965665389,0.7526618628966301,0.7565834210830767,0.7427067338108018,0.8488091192829988,0.8297942729836322,0.6614922256847993,0.6310243413193503,0.7000673998632616,0.7381751541029129,0.5945459364360818,0.5474615589521236,0.5599445948271838,0.5686135062292486,0.6234695982341845,0.6342215743453481,0.6153108538852302,0.9674644506482825,0.6373589532524289,0.7457019273631031,0.8091981843063504,0.6643491438144026,0.6187212218408366,0.5319007142405606,0.5480477712217506,0.5164096156517788,0.5130531571837004,0.5192395471630254,0.579864167013636,0.6437065461518428,0.6978335234576524,0.8973462124110115,0.7232241362068336,0.7598665630223522,0.7206238349661105,0.6944977434406753,0.5590284447201921,0.5190396977104909,0.5096888379685018,0.539552083064133,0.5891929329025702,0.5662600426018278,0.6958217351014074,0.7349326447394126,0.8333002611317165,0.9280689508513434,0.8329754926751037,0.8008001469181286,0.6810959051328773,0.7665116430219279,0.622331751724351,0.5460378853069864,0.5815240100142299,0.6508137463758465,0.8852650188132896,0.7423994564182679,0.6404365945928624,0.7113579461594565,0.6419090874522181,0.6098782320620291,0.5699821148194137,0.5205561847833207,0.5114164417059702,0.5241603159856104,0.5512763390555012,0.7422023945471519,1.2064172178146442,0.9446736777757933,0.5325260919930254,0.5361318680793393,0.5032454305435772,0.5663750836838739,0.5933974482730018,0.6309639304496597,0.6460738615768282,0.6576056879097478,0.7845879332857929,0.9211390732061409,0.8660405046689196,0.9832335825426606,1.2217372217412037,1.0659436827559787,0.8584703379483782,0.8280871724231063,0.7054180708199758,0.7548468532498974,0.720772661704537,0.6853736419847011,0.6604337282089767,0.6589469436802915,0.6763469574684293,0.7609592835036815,0.8042154341456156,0.8562882180570214,0.7067695911925364,0.8871359045945132,1.0503540095901942,0.9635011006545025,1.1148758864665758,1.1803711218754471,1.492247680581599,1.8453409099001725,1.5931210472802024,1.5676795057650341,1.6334624289185489,1.422998395537945,1.3213818293887312,1.411425844378788,1.5678415412249214,1.1018737028182295,0.9815664618764811,0.8938911941462164,0.7586452209308115,0.8594221323236751,0.7380369872093226,0.6604866043485589,0.7434927515052034,0.737978469725633,0.6719621566386108,0.6427514071069895,0.6857511828676486,0.6662395285840944,0.7102538566343899,0.694208103348211,0.6793517501491013,0.764506761769459,0.9365380080485084,0.8550123579540411,0.8410664266120231,0.8828889895986346,0.8572676480288935,0.7481313959327694,0.797168646618433,1.0314160669413812,1.3986200379051783,1.2755784519299165,1.2274348485452764,1.0766607212003205,1.0858863335973505,1.089067938120623,1.288782875299883,1.4291706625619105,1.1648775020153348,1.1162103703371773,1.446772730495621,1.282472332219901,1.1635938715769252,1.5594021910214069,1.5748545614523541,1.3652319620395406,1.2435904833056424,0.9925503491646664,0.9636389371204146,1.0396968798721222,0.9219935978205469,0.9844775744207197,0.9877335176814419,1.058415677564003,0.999108533507769,0.8906533918873024,0.8117654792019178,0.8202174603557834,0.7051892721742609,0.6805247771475329,0.7213732636651201,0.6739402239996238,0.7173206474749428,0.6946962470729608,0.9022569461220146,0.7255175107430636,0.734491930333075,0.7313625742317252,0.7884653640959095,0.8292056739668566,0.9147034916177579,0.8785766661218457,0.7867623022402003,0.920487895588762,0.975882492388641,0.8978664024335596,0.9249083258404924,1.2129025067182502,1.2877010795175494,0.9787217516205903,1.1821911493086383,1.6602259521898584,1.643932938083294,1.1965748554096476,0.9694050029364812,1.7776349562132119,1.5498120243499685,1.1310684408909069,0.891803354787529,0.7335827988736946,0.7700482870504254,0.8898400724512383,0.7671683700945299,0.7252214065477594,0.7471701105565312,0.7865965715532657,0.6033770395505873,0.7098156357997463,0.5263810257814678,0.5345581233459034,0.5596627370430003,0.5519440262967769,0.9056369075532678,0.6619577032928969,0.5830045803319459,0.7596760000502352,0.7097615343923371,0.8023303115627382,0.8389149243795623,0.8029788566553432,1.3593626287740113,1.5470004267042607,3.1083646417122566],[0.6180744259407948,0.5300151182930314,0.5119854488850034,0.3340252606953259,0.44616098666886467,0.47795789978945574,0.4467594599396522,0.509565834910749,0.5321734393466886,0.4969746273286125,0.5251322832511187,0.49488750596260406,0.5417671686253505,0.5731349267528063,0.6458743366457479,0.5996508432578602,0.6345412110933442,0.6726459859863413,0.7789919983472847,0.7242871191523735,0.9077329866872749,0.9429119956596503,1.2251998287212624,1.2564076053016393,0.9770437523488883,0.847208170359282,0.7312450446432707,0.6478943912161528,0.6237087595704345,0.5981372687461884,0.6644737545012078,0.5647668793921339,0.577527340438652,0.6708753047072731,0.6322128416504335,0.6868725967937853,0.6213218379294577,0.7246513760430818,0.6678012180033013,0.9387353953943273,0.9195028259512426,0.8226308852734343,0.9466067636402483,1.2447802508635861,1.461298656923499,1.8211978669460962,2.158156657081698,1.6012729989757795,1.8891536413673264,2.4413252315802203,2.3001902806418486,2.6628876528170795,2.488437325068552,2.8025605144136576,2.050346221711438,1.5976819497189867,1.4277610959794769,1.3603514959704304,1.2442754436054722,1.8919766655428696,1.3315128580162157,0.9323298148348858,0.8683829403902777,1.0932817241080464,0.958935997000069,0.8601957693729064,0.9639043190252259,0.7574502163049139,0.9028764329851007,0.9368166491237193,1.0325914603855213,1.390858630293887,1.0266682858290266,1.0497306438589402,0.8456513856694432,0.943469662072525,0.8143475325751389,0.7661784682844343,0.7882919041753094,0.8306162402188394,0.7291129364120155,0.8288608757637287,0.898343285037469,1.0094134497597584,0.8883716172933412,0.7051970296526245,0.7002445388658234,0.7505855137511761,0.7204678128304555,0.7263220670871726,0.727812840011091,0.8510661869053362,0.849422999274533,0.6768101354333846,0.6413126433598003,0.7124346175203137,0.7477532098204288,0.5950431116215221,0.5365835335282435,0.5514654120647821,0.5403193620165425,0.5925887295048442,0.5826405491855593,0.5741359680292357,0.956769107165421,0.5840166593264051,0.6827826274600308,0.7373227728742343,0.6065280310275655,0.5987197769163844,0.4906711453964461,0.506926449725087,0.4593575986525424,0.4662363439768737,0.4995133044654778,0.5451447941253389,0.6209147981271484,0.6629398647822079,0.8655815167498876,0.6961654252955087,0.7344564566433553,0.6997713873454977,0.659097971794172,0.5415717712725185,0.4941532984328224,0.4783862480185264,0.5193848675383962,0.5616754317341653,0.5162035637802682,0.6538138306021926,0.6837200630869618,0.766525175055906,0.8699957327451276,0.7713286635884723,0.7486786928610734,0.6525050121252352,0.7254712686195374,0.5894283022689025,0.5228573672800197,0.5829339609264209,0.6648749620897552,0.9165337971672018,0.7482728454290118,0.6406869797265762,0.6996077451667334,0.6347496372138947,0.5969815789188587,0.5389969630223873,0.48160903616327966,0.47388894409233545,0.5076912662405119,0.5028358069903722,0.7152724931687121,1.2356903927287224,0.9920063968346837,0.5104656070681545,0.5154492400433521,0.4633556783898089,0.5289281148296192,0.5462371251909414,0.5962281875689447,0.6206358148194391,0.6417602732503231,0.7692109437891363,0.8950880961930658,0.8542379204854788,0.9633321401028848,1.2081322813951636,1.0445428270018897,0.8482647242579343,0.8043685252258449,0.6856868958884048,0.727680036783782,0.6899773991766032,0.6505313281902412,0.6282718868822563,0.633707614423012,0.6480676780488978,0.7181219972758077,0.7563685956428122,0.8223099399683073,0.6690607973551063,0.8475837037718871,1.0118920764472648,0.9299171389631973,1.0847617213583356,1.164598530526129,1.4936216821752193,1.8393387929344172,1.5750871116019696,1.5512923159843302,1.6170881162954756,1.3976795637438049,1.2795128821911341,1.352000323480645,1.5129847575332418,1.0600885631530224,0.9368650487601505,0.8472669236114021,0.7100060163821352,0.8044863474867516,0.6781322242332825,0.6107165170733883,0.6869685688714445,0.6775949721174794,0.6253129740635021,0.6027357028394565,0.645058695450979,0.6255690884142876,0.7110409843426673,0.6866404290983965,0.6778127088781716,0.7831206839644194,0.9611327654320363,0.8899240775807633,0.8555862180019377,0.8997379563749798,0.8491501401136183,0.7333850913034526,0.7741184283755213,1.0186604789479565,1.4291541014163422,1.2329272760049117,1.2123152301901594,1.0522383693607182,1.045894963049975,1.0453144413149953,1.2485208910361707,1.4136040911849772,1.1235734488387614,1.0738755319375588,1.429371110172671,1.265819502118302,1.124114330905194,1.5240939103653426,1.5657218711365388,1.3439067391876987,1.224366205638582,0.959266836647928,0.9224078016431944,0.9983274810777752,0.8632362265094133,0.9151931131976098,0.9204184817292321,0.9798084993916234,0.9285759721173816,0.8366674884148813,0.7467590673152548,0.7798557069362019,0.6536132654291827,0.64114781509351,0.7180200450889069,0.6644137464432535,0.672678941641183,0.6752015515618366,0.9030074010420512,0.709801381910041,0.7083957721546146,0.683806468160137,0.7302215682488862,0.7663540088375332,0.858119932518253,0.8180738262286602,0.7311820635919024,0.8636910183902368,0.9344560511999214,0.8547742314473783,0.8781611930870996,1.1755780847288444,1.259634955446617,0.943461098700907,1.1781227120027495,1.6234941967632694,1.5816767055612535,1.1527029689939423,0.9136750909566529,1.7170589597818073,1.485376050084249,1.0916399767378446,0.8747253518654234,0.7137422467654102,0.7539378829261565,0.8760555170974063,0.7411277276040964,0.7072280461849884,0.7205545785388743,0.7501809163204355,0.556108557313129,0.6721456246064998,0.46794018642371016,0.5219349283515912,0.530914408174027,0.5151664171229441,0.9527071964516918,0.6756272621301423,0.6152939943469973,0.8012391010882144,0.7331067176229032,0.7945964705651887,0.8614349929911544,0.767141405321073,1.303582460179319,1.3941958020246072,2.809608539141997],[0.652415942113536,0.5710245365320641,0.5312424968516186,0.3673964218742655,0.4471756256182109,0.4994134520470406,0.43497504240274365,0.4849031423550266,0.5364337433457966,0.48249288128972856,0.5096119109868514,0.48349515153338485,0.5025631552272009,0.5556790983584552,0.6262815345106606,0.5621340110321266,0.5888824195690227,0.6239391179531724,0.7257121620500178,0.6665103243428375,0.8495105520667312,0.9053306132534014,1.179189497729365,1.1973351787315754,0.9485598848596404,0.8097606261728262,0.6928014959672073,0.5971657958833542,0.5724135850240822,0.5485179217219093,0.6243246476749662,0.5244569597177591,0.558631985060331,0.6224117668388839,0.5697296870639184,0.625830332468752,0.549684114915572,0.658780147373919,0.6015606595284774,0.8644802342297808,0.8758763867874552,0.7754346988695455,0.8802383232124832,1.1388394461221212,1.423096460230584,1.7446802175928264,2.0653952000488784,1.4794789640360353,1.7252272527735772,2.274427219351436,2.0929954053151327,2.476934190022775,2.323621349670642,2.622406695359381,1.919615177418629,1.473022726285414,1.3819330051291387,1.2576761484297614,1.1698586936075304,1.8328444840605471,1.30807869865513,0.8814805243469842,0.8123642934920506,1.036229104247954,0.9070004028514228,0.8149424416934101,0.8900887665353058,0.6998213296785054,0.8511011898914673,0.8868040724282699,0.9789948372212711,1.3182973175281973,0.9772522347868191,0.993155797560964,0.7950990426614019,0.9065114980774246,0.746740417673978,0.6977590429244298,0.7020904094763221,0.7356283937211089,0.6461970927787141,0.7524929602225937,0.8574884063039389,0.8899744003996287,0.8221170773408806,0.6353174178511232,0.6264547456649233,0.6760512282924942,0.6501288629920895,0.6637181421442419,0.6686447645004947,0.7911295728242449,0.8155501110502055,0.6571381064616136,0.619646833534501,0.6906963547976739,0.7281067795521392,0.5873748629496144,0.5183495990465646,0.5447778975209385,0.4962550312000173,0.5336141359089199,0.4974777796382921,0.5105149055350183,0.8774637947916143,0.5108421387967855,0.6070125740384904,0.6533936987361951,0.5340377437475732,0.562799361164074,0.44457242847471784,0.4495322758540189,0.4226588021494674,0.4105276116561413,0.46604120058653303,0.5001019722010975,0.578976674622725,0.6055639851796143,0.8087879648488278,0.6463388577122375,0.6875001806111849,0.6631905126404598,0.6140275206255806,0.5134721908913048,0.46927455027170356,0.43493695796791126,0.49648142054520017,0.5041219775596397,0.45398821312485066,0.5607043084036163,0.616845279555967,0.6705347238853399,0.754945177789557,0.6557288055450059,0.6566221706642166,0.569458279939678,0.6641065152919653,0.532585634457424,0.47429897730006304,0.5473005238619068,0.6680237939072975,0.915766035361315,0.7114101338764791,0.5968491566593079,0.6573421432210124,0.5828442027160178,0.5493951786890038,0.4902915210059932,0.4319255264706901,0.4500057652114996,0.48725388112955437,0.4993191094551769,0.7230977813301217,1.299124430704995,1.0268802927298628,0.49208517280516134,0.4829254017849615,0.42359470610645134,0.4647906400943678,0.4841821283019561,0.5163786830306338,0.5603464693676359,0.5856575200549053,0.7035047493563856,0.8139075217642971,0.8018347203564873,0.8896766857068814,1.1547482850492703,1.0033102303795796,0.8066377313742108,0.7331780927795017,0.6246674733224749,0.6450506529016778,0.609048555972641,0.5706967446678181,0.5415528330343787,0.5656342963719235,0.573808418260087,0.6372665743745798,0.6520431667447399,0.7399074205186555,0.5765285276277341,0.7446928009669407,0.8970120834302983,0.8346720658919996,1.0128799172812692,1.1193487817038312,1.4503299601888453,1.8582766645669886,1.512124751528816,1.446622297868325,1.5556095276168687,1.2929146350853802,1.1711866087876177,1.2465345019575638,1.443029295339094,0.9827048569813809,0.8670903527030571,0.8093861398015885,0.6656564941948806,0.7652180888354566,0.6256864964864309,0.5632525273794818,0.6613001411126007,0.6472535718945864,0.5920987238944306,0.5899625736239064,0.6437103060356952,0.6100134378538445,0.7062705349539022,0.6914201799205479,0.6944404511930812,0.7911474055490534,0.959587021817006,0.9090755116954369,0.8724322860612975,0.9360781731273459,0.8727936571727672,0.7565302959893356,0.7910736389383661,1.0452054842252112,1.440214566631476,1.2545647388041368,1.210693659492794,1.0346563848895198,1.0136966473178595,0.993279591570037,1.1781527127137454,1.3831212208851638,1.0848926063367357,1.0244808849399218,1.3721383241969962,1.238360599327063,1.0862511895329094,1.4482523442271873,1.5416349898235118,1.3448646896050591,1.2173633443156546,0.9340853376667547,0.8590393985028879,0.9351691856783502,0.8094377896555823,0.8581109611001811,0.880546205487541,0.9199234918224959,0.8817246711280393,0.8140887959321633,0.7078350259443997,0.7479419648969833,0.6323181086114166,0.632687562071635,0.7339132167752292,0.6674699775033257,0.6555738114178791,0.6804244818874553,0.9235020920736057,0.7129790853638712,0.7123868182561753,0.6786231002760563,0.697656567578402,0.7237916724694307,0.8204008607798995,0.7954710511361979,0.71508956785194,0.826409931939028,0.9141766703771589,0.8455941854559359,0.8702486231369531,1.1527204792416703,1.2642160826072248,0.9656435264324638,1.2051293664308196,1.6168699561449422,1.589800765500373,1.1979741602277552,0.9477910246708416,1.6988253849998023,1.4516787016804384,1.0905683877110792,0.8925521613925426,0.7216712391346054,0.7354578191877231,0.8629826111425001,0.7351483175791144,0.7555592223600246,0.7731847697692062,0.7652807270622874,0.5460910590826054,0.6431241901995541,0.4231932316925315,0.5053036221497603,0.49874389679312614,0.49289141716042534,0.9567200017651889,0.6458657127661815,0.6219897151626814,0.7972828591203368,0.7076357231723561,0.7839556445641178,0.8857880699269898,0.797720430351582,1.2699370625470248,1.302733606600904,2.5912364822111327],[0.7225167576363458,0.6066874912354403,0.6041789698465475,0.3788238647644145,0.4592523010315767,0.5152826542330101,0.46707538232405305,0.5129722257188665,0.5557042848421567,0.492452677370973,0.5245583039975948,0.49293039299069186,0.5152501041730878,0.5633249717789776,0.6247164884217643,0.5622851946303806,0.6042613042613291,0.641463117045029,0.7517478166804674,0.6851258795592743,0.8777009937337549,0.9195688238253756,1.206234392061643,1.2321279639117593,0.958056306554647,0.8279464836118176,0.7018587598828917,0.6098696537821232,0.5833238647014468,0.5515272203358466,0.6262072179681231,0.5238524492756946,0.5473476336352231,0.6188813028108132,0.57455758388536,0.6348218910169866,0.5508997135631578,0.6656352814388741,0.6061960596742485,0.877501232952146,0.8862044166399746,0.7878970860723313,0.902997614625763,1.1678342478112167,1.427119507371213,1.7237408595851618,2.068962297764003,1.4992446117926743,1.7378909093171402,2.3061742230498257,2.154667873861257,2.4934819502279684,2.351646471387717,2.6371878740385446,1.9752573564743694,1.5002156754138047,1.3727877081322633,1.3045721289162582,1.211810386284949,1.8498771797615061,1.3198868385041722,0.911821025623997,0.8362726115686797,1.0647612705727727,0.936878661231331,0.8431611022840975,0.9219045224899722,0.7197387015918724,0.8837892887848664,0.9118614805607003,1.0013203603818186,1.3394202320202946,1.0070335573738114,1.0376937703746474,0.8190119197540502,0.927974665375356,0.7696835758773476,0.715999918107716,0.7224361021717547,0.7668407329036838,0.6652920509981902,0.7713964374737311,0.874347068897132,0.9241327179800545,0.8246454912650799,0.641858331071582,0.6377049822355656,0.6846287773651037,0.6692972857257563,0.6780232080447488,0.6853645873463973,0.8149634678026965,0.8232214135883464,0.6580412056291558,0.6181588962618069,0.6969605248627807,0.7142534895920597,0.5775044758085379,0.5082556833929303,0.5371205623659409,0.49775550509719024,0.5466644497865796,0.5065715277563033,0.4996529271997301,0.8706525576731826,0.5150432888939481,0.6423187814615693,0.684826273919788,0.5668191584518916,0.5854113438357404,0.4559906085590169,0.4596526900825054,0.4437524695834907,0.4241044302786224,0.4810761423777005,0.522183804598586,0.5988773938204737,0.6291267814009011,0.8425884488960861,0.6758352146817509,0.7198457705055974,0.6962434123156791,0.652600469152397,0.530080797571679,0.47558722676166526,0.43895505637445686,0.5123900523442398,0.5162391911926936,0.47969330995623516,0.5523263014384288,0.6375434589236529,0.6994544530018532,0.7666076379829164,0.6680015082539503,0.6642970187448127,0.5642852966780324,0.6591080936175301,0.530205108770558,0.47339047315359273,0.5333262504144096,0.6622057306484985,0.90152098889748,0.7232652299487454,0.597617708758409,0.6473856363234948,0.5839526861151455,0.5506716105820121,0.4957797014891786,0.4414903744610701,0.47372471602643534,0.4830416904708938,0.5094768434627219,0.7568318476778497,1.3301122461580064,1.0058400454155685,0.4957005676697158,0.47327401964439314,0.42967874459702093,0.46924182611795023,0.4790390752824306,0.5157996224252158,0.5593237052010801,0.5834591369504553,0.7070655311298402,0.8122689949602654,0.8014985781252482,0.88546553920434,1.1561140729730361,0.9838131919671578,0.7835224647799294,0.715967930230323,0.6218473703161919,0.6424151012833137,0.6077208525492563,0.5705552245763073,0.5404492481697114,0.5639957543185214,0.5699960660553234,0.6399557377598629,0.6623846968654857,0.7433224912710051,0.5651935848320365,0.7299509994667961,0.8892183164005624,0.8360058097321496,1.0192947852700183,1.1179381122023924,1.427377180113993,1.8513526896865153,1.5170464166192932,1.447709023196449,1.504296960020149,1.2734792926288196,1.1838943628283032,1.292074562354071,1.493002289317287,1.012293349889696,0.8923241425961864,0.8214323314721373,0.6796128683218315,0.8103900150148721,0.6492697369367658,0.5821840138384798,0.7024444939418193,0.6964169049505143,0.6170942678465988,0.6211085927873617,0.7043993481620895,0.6619485308997718,0.7332891898632313,0.7368546565017459,0.7597796350600923,0.8180830943719934,1.0019689748796885,0.9688951975054044,0.9301293870523482,1.0277261941542213,0.9615489914469791,0.8452742591167592,0.8913959076397978,1.1651262778574598,1.6445364282983745,1.3551068953964927,1.2689800843860706,1.134055304040525,1.121555343724518,1.0938631239796015,1.2841760795614645,1.522254233855501,1.176359964910816,1.1088538281034122,1.4792394700704246,1.3403656649189126,1.1650901554631021,1.55097550667784,1.6343778417543284,1.4156349181825125,1.2732319691192437,0.980624419622797,0.8829823912403219,0.9995576308527525,0.880882681413111,0.8932649591173919,0.9334583656955492,0.9526935935533332,0.9324756849837539,0.8504248598417018,0.7067106037277991,0.7142351662382657,0.6333523121446168,0.6373214459018485,0.7213051152009304,0.6751019227035155,0.6871592665664056,0.724066389580362,0.9635177784035374,0.7980584919869662,0.819018140916486,0.7760449108888646,0.798605926650366,0.790939669722094,0.9161153541895437,0.9059682674830861,0.7987820038463058,0.9226213871199208,1.027881356674704,0.9482792850630961,0.9496030835562164,1.2677917310767803,1.3701563706195194,1.0402994933509684,1.2930207469585806,1.6958929989219729,1.628599482729507,1.2376832411404655,0.9927112672569344,1.716354146615592,1.4468173964887519,1.1836533380286427,0.9736642214242576,0.7712192297297924,0.7607371029847569,0.8778017230374549,0.759940453020663,0.7986018598033052,0.7732107593658564,0.7977471119583094,0.5530940743259954,0.648754720651912,0.47143353293376145,0.5310532184742703,0.5196344845660937,0.537628850355584,0.8468530530628708,0.6260370587177384,0.6105887928349498,0.7349839944964944,0.6720564889922694,0.7721906812063882,0.9107133740148675,0.8274699682829764,1.2713788639461203,1.2981837436648518,2.488202795083287],[0.7287647766629052,0.5767053950186098,0.5774410378821755,0.3492572047824223,0.46938876163229104,0.46731742470073256,0.440851610059984,0.5088604404321897,0.5080264238252657,0.47286533520727525,0.49005084639942526,0.4838977105339002,0.5179736382584178,0.5322642613627019,0.6082405288444873,0.5673439674253631,0.6046547604994764,0.6432194099141793,0.7560395055938148,0.7048408685448375,0.8864987663109346,0.9236498629944218,1.2042037031307915,1.2565501756038016,0.9801068233189212,0.8332637029899459,0.7306864652107933,0.6346251847893821,0.6084679154463049,0.577032954259081,0.6238393611882022,0.5395082859953888,0.5470410299939271,0.6335092012440817,0.6110533324435756,0.6620777044771133,0.5967755267118118,0.7088916383922801,0.6449817653966877,0.9051830102353621,0.8906991276738714,0.8222152877916526,0.9342246866309482,1.1596693621400833,1.3444382735992806,1.61186314282741,1.9730709690505606,1.4718220960963169,1.7568679339145827,2.340629616063548,2.2281359647684438,2.540798710874362,2.3981110788256297,2.676934840141061,2.0523398155458694,1.5428553077810068,1.3508823042183955,1.339157692894422,1.2421055561175565,1.8809368964019617,1.2903301434305505,0.91232757001304,0.8331535534322555,1.0480052041713717,0.9244456129772,0.8275823155816994,0.9365785559595292,0.7321940867400146,0.8775654527714293,0.8933934567972388,0.9989261266845941,1.3479116801320308,0.9835025199870469,1.0149503192973384,0.8106087909516637,0.9154856960592564,0.7902752110681867,0.7364881394912745,0.7613186529519634,0.8143215979335822,0.7048784340128017,0.7993472089504419,0.8958603874943164,1.034403548256024,0.863128710847478,0.6767202293883869,0.6759019892632321,0.7221927763860727,0.7058483620928419,0.7091035976612146,0.6898647320683399,0.800800711486779,0.8028389660072779,0.6356174882746117,0.6050046369000567,0.6667140142465743,0.7131414394905329,0.5695215294771043,0.5068496107601932,0.5077027120777017,0.5135296539930557,0.578469332575755,0.5774731310967203,0.5732412748063852,0.9445336308915532,0.5912787531038823,0.7268498808279595,0.7717367448797026,0.6526884692177041,0.634382579221941,0.5097489528438319,0.5132847278101665,0.46286624177988567,0.4516465951172469,0.48427789802694726,0.546003070492246,0.6181954214240276,0.6578769284683542,0.8488303474580201,0.6764019978060776,0.7017379172107313,0.6848901612983463,0.6561880088035571,0.5255469162375047,0.4806982694787867,0.45936920439446655,0.5339532675504842,0.5532069474524515,0.5443396252804122,0.6554234199536795,0.7114160161177064,0.7964840448432042,0.8525000913617357,0.7610498246590047,0.7334724785550208,0.632585006651675,0.710760347362951,0.5699402814661182,0.5017186819791084,0.5392987976769806,0.6404707300264946,0.8696262458209477,0.7152660045435019,0.6078732967102639,0.6824744669375804,0.6080939497046032,0.5769805322494979,0.5350435274605683,0.4931759115437349,0.47459132665862547,0.5094471066360053,0.5060397846502382,0.7610447068674397,1.2551122134314232,0.9139036571825812,0.49406972410859296,0.4771295085925533,0.4695082305745719,0.518013681073634,0.5492875194516005,0.5738857246085257,0.5945737045620377,0.6127022311769093,0.7368097145914324,0.848940232851186,0.8173965785300078,0.9190538143313214,1.169796227984487,0.9913802442216302,0.7948388107051478,0.758287038024463,0.6577546707659364,0.6951338070001122,0.6690634251857326,0.6334025741745972,0.6084446616873955,0.6101534766545978,0.629627535038124,0.7045067914516709,0.7494709439570806,0.8132383231232686,0.6440054471910721,0.8113715625459529,0.9637641461320903,0.894536930466336,1.0515680094544662,1.1190858613277246,1.4102511548491634,1.8386552184899798,1.5453261480483196,1.50261517916005,1.5038753222724115,1.3242361704974055,1.2494875080702772,1.3728263269509602,1.5510308420915089,1.1092176696876366,0.9829106255803525,0.8860739919229759,0.7436854170179826,0.8661059863492757,0.7147729146106282,0.6385070311268946,0.7374073614177153,0.7420414393758288,0.6376019993016463,0.622751072848279,0.7017403075927496,0.6573136328347156,0.7034931793155368,0.7027244949772339,0.7064076407170236,0.7693997520154937,0.959939059469608,0.901765288420445,0.8738590304818774,0.9438927514567707,0.9135726136606754,0.8075178952562005,0.8550543182553653,1.1465825310411004,1.5959559321772492,1.3416328331348344,1.27053091844792,1.1726833097023308,1.187698874642548,1.161417812291673,1.367085671041776,1.5578972554664041,1.2290094770545106,1.1863352464998547,1.5595650389689757,1.3811370434342496,1.2219398988022168,1.625648047094708,1.6700650628043683,1.4333754088323172,1.2974239369422096,1.0297016464107547,0.9827475001292003,1.0908592429730066,0.9582397115258111,0.9748836101811731,1.0092812361235133,1.0126860434177334,0.9858792646877914,0.9138443091159281,0.787775406917747,0.7805706124457865,0.6901292420497304,0.6705149094268911,0.7080288554704368,0.671803672942648,0.6953992254064831,0.6887800125809617,0.8923310277172938,0.7360245446876734,0.7611285011986256,0.7464791862720456,0.8119359461007528,0.8433012220920885,0.9730453018876165,0.9264246987973345,0.816883796846493,0.9616527532293173,1.0487117320627835,0.9552539579998283,0.9621791868935713,1.2817247154582836,1.3256531861729983,1.0027517892583113,1.2663774176028035,1.6954334889915348,1.6198760385275428,1.1810971110273045,0.9477814171872595,1.7196990509629324,1.4732553205330559,1.1702379027904315,0.9025984964479429,0.7316867877164941,0.7432935930080465,0.8569229373009055,0.7400617446093819,0.72550013549492,0.7050382415564814,0.7785679004689273,0.5806579101410049,0.6954649106622104,0.5171233168232499,0.5252338159500004,0.5496466488843338,0.5583370386837887,0.7995440539623166,0.62738859917929,0.5697748034411845,0.7058389256376959,0.6775512401202209,0.787439546196408,0.8871124882705385,0.7675265619679468,1.2933150888844858,1.375005919554126,2.7321382740932467],[0.7034590752794345,0.5459896290311581,0.5541140066007875,0.33242763582886364,0.4259673246970087,0.4636117488571947,0.4127429748002266,0.4680733988289838,0.4810444084271834,0.4213820608601023,0.4395428575316589,0.43693939866235354,0.4501933485003887,0.474839570474951,0.5474558864006842,0.500134861012552,0.5385075474848398,0.5704664848712555,0.6742901363795869,0.6266074302431845,0.7872358669096937,0.8508293054933087,1.088035645511855,1.155464993964531,0.9119154144609178,0.7562039071219114,0.6753167283691283,0.5546115715703757,0.5322359964966253,0.4969116936978885,0.5461633630694666,0.466743974867991,0.4822789183787212,0.5565726390043364,0.5251019493473779,0.5765903359208762,0.5108339402633997,0.6156444450693626,0.5486567715682498,0.784942008822215,0.8126732474888885,0.7594812255291131,0.8339041818476318,0.981116100595988,1.226122826219499,1.449652732611192,1.7676187611091954,1.2509776366612886,1.5305680882653205,2.13401688782545,1.9264623315469125,2.2736593144255144,2.156208706871339,2.410228297881665,1.9001205616533485,1.335043489667939,1.2203291832191623,1.2008176086805622,1.1218789009268433,1.7588292905545289,1.1821823568950882,0.8168702799996798,0.7223422334994337,0.9373574544643981,0.8235030308953658,0.7257317008521394,0.8222324689543394,0.6405298865873745,0.7954866624278918,0.8147802226815846,0.9193683615999739,1.2375446071361103,0.8885246157941177,0.9193986763828591,0.7246710450336099,0.8379923529918413,0.6908372548063086,0.6279342608969276,0.6586752885427718,0.6974963891495392,0.6089828560622683,0.7094653005272896,0.830125554056486,0.9125746343184978,0.7739170186286931,0.5832221262434715,0.573807410666175,0.6344985393003842,0.6123742459719176,0.6253913861673621,0.5974355539161745,0.7057193095337297,0.6979105711699183,0.5520506749516143,0.531764537031715,0.5922673451372333,0.6512632946850627,0.5088678587057062,0.4476190854935872,0.48322057958423664,0.4440299422165175,0.5265260557222232,0.48725763522314464,0.5023551506758127,0.8612733669996572,0.5137010341338906,0.6443806632003998,0.6738532033574036,0.5521910325292672,0.5782212752727834,0.4439790323494276,0.4437194144379918,0.4094191628269987,0.399216904084804,0.4526117531167306,0.5139633047204584,0.5808731047201362,0.600225790703068,0.783356229988303,0.6180309940033102,0.6520355150243965,0.644271118150739,0.6229862770971551,0.4926017023836158,0.4391110599450306,0.39893077999416354,0.48531184606590183,0.49656289692929734,0.46678483818321853,0.5448339850802199,0.6137855717664019,0.6693247204591143,0.7211403765371853,0.6266217578370104,0.6202898652019773,0.5385823991718214,0.614903562187735,0.49632608607965123,0.4445366724749426,0.46357648682649655,0.5662291111128713,0.7879722780308176,0.6204325471941821,0.5171425776001681,0.6118433532348747,0.515048589619626,0.504076115142627,0.4744556458506364,0.4296660821389349,0.42022853659569376,0.48014790155135284,0.46048822719905735,0.7213435547928572,1.249196414670876,0.8938827884110867,0.4413014012646388,0.4200698412836002,0.4140540769687386,0.44670325090938184,0.480649761569517,0.4809023198983384,0.5033090925282577,0.5236974796711085,0.6377847098242353,0.7163444136068304,0.7554526515788382,0.8079444308908825,1.0866859727342906,0.9391438454095624,0.7301357457010689,0.6600918692686899,0.5663428845321552,0.580531988519101,0.5620144835270492,0.5297398501471584,0.5003663998171325,0.5217594768138115,0.527799596929065,0.6047428063033639,0.6301998116818228,0.7018930867292219,0.5316242802681002,0.6738557331534577,0.8126306028153988,0.7688925002601574,0.9469377056911522,1.030801912236979,1.313205399358109,1.8247284762470983,1.4439010936428847,1.3258767035324759,1.430711258289603,1.2046109097439985,1.1379843116495318,1.2564080750092759,1.4567145082296435,0.9743136269240344,0.8624535034763849,0.7986343675064723,0.6509430473050654,0.7654310883561629,0.6179911213477686,0.5508104205769768,0.6533555353705764,0.643415849794562,0.5705206503970857,0.5619700834385873,0.625661450628157,0.5885751553269934,0.670494959379405,0.6673948230374444,0.6616560324511221,0.7476308958023244,0.9470218512375049,0.8721450544377569,0.8366960661046349,0.8905126932798154,0.8434319105340479,0.7233887960793752,0.7646687260200943,1.0383521288091304,1.4198360391593177,1.2526191194694918,1.185684080954283,1.0455223142829795,1.0311986460307283,1.0220922480001515,1.2098343279088866,1.4002533042381995,1.1026704706425288,1.0457320340715501,1.386162106516787,1.2437485394906567,1.0974373108226045,1.4762380682459324,1.537891757222591,1.3343270011834374,1.2148819123019645,0.9314282469104034,0.8577451104267292,0.9571215746808374,0.8353949902316337,0.8656912553012263,0.8927678847008425,0.9261410123214687,0.8948206046932412,0.8176663040334404,0.6900057317524334,0.6978644285568422,0.5983620959386365,0.587152173946639,0.6553338424611758,0.6100512067972027,0.6249170627148513,0.6301926210735508,0.8654719483948862,0.6855026658294161,0.6951584454141677,0.6729087119586019,0.7092234669347064,0.7307282329588038,0.8471374893655839,0.8059098006871486,0.7113410486554791,0.8430312674119982,0.924175245907978,0.8417281831526069,0.8609677039289667,1.1597325062322128,1.241434332750688,0.9319701845137683,1.180495500491306,1.5997773449156047,1.5566458522647775,1.1403999881595717,0.9051648293424364,1.6925014720666667,1.4891515873700638,1.0952307883120045,0.860876284211314,0.6873252903658637,0.7283952848444112,0.8500323334649783,0.7108396631212577,0.6898275882479084,0.689754026926219,0.7246206351283998,0.5136552146411826,0.6169057540683024,0.4454891245027814,0.48057269412747755,0.4862060695831037,0.4975481654685534,0.7733475486401828,0.5834662659084172,0.536482249466453,0.6678228656413414,0.6374131033349929,0.767967463388578,0.8679366072561907,0.7516465849492173,1.3000114976122006,1.3779409538285938,2.737633230970487],[0.7458314154645266,0.5891976360620528,0.5916340883307287,0.36423114198675605,0.4521360201795888,0.49187597843357683,0.4397596112116685,0.4806138907322359,0.5243408734827104,0.4356028791877651,0.451900686554491,0.449183975368612,0.45206259336838506,0.4952164232599401,0.5596458932076687,0.5075928147631598,0.527446366270177,0.5518904287510449,0.6549095379423844,0.6215167945122894,0.7968968635151303,0.8692238713676886,1.1270323512611384,1.1785238453707105,0.9292564841411632,0.7715001979115838,0.682630663745136,0.5477064578914747,0.5062664124146494,0.48957840906671096,0.553562818708826,0.4605204889648921,0.4864961437860554,0.5461533320433614,0.5085802652986808,0.5600449866848812,0.4936419403665931,0.6232896008009626,0.5518389031477554,0.7852808836709517,0.8291155988544974,0.7758643042784327,0.852759709295097,0.9997707776959257,1.2555857685842455,1.489703363597072,1.8018264935734196,1.2692627598694237,1.5370299317370801,2.118454773394443,1.9052816873786853,2.2528200575418995,2.1411837063165167,2.383288230543071,1.8729630347139123,1.344008423794644,1.2636706183508721,1.177537579667249,1.122825628112828,1.7772444270999328,1.2188069065078528,0.826776303471828,0.7269253759143314,0.927547640189415,0.8363187106359861,0.7476621555515306,0.8213939496301004,0.6284233127567291,0.7806006574949577,0.7960577624909932,0.8943519761800974,1.1997676029150988,0.8810655344285887,0.9120890473486423,0.725737023903135,0.8491861197205067,0.6849108074552166,0.6191396591364519,0.6418234091702835,0.6904451703648173,0.5934182560507937,0.7024655655500196,0.8134424452467798,0.858783977777242,0.7569464684481144,0.573795233639836,0.5674768991380644,0.616337217320649,0.5997101795834209,0.61765201109359,0.5887906146195888,0.7283551180327175,0.7279179761398833,0.5693874193655978,0.5448652894327914,0.6244714510080108,0.6606561353165232,0.4994448901663401,0.44445733936467813,0.5135150618832177,0.4610799391462745,0.5388299049058458,0.47495309494913907,0.4974184357885904,0.8548353903574709,0.49464919566596127,0.6400999323297577,0.6608066917929992,0.5378681688473086,0.5960681931196555,0.448569608424001,0.43956587147892406,0.42807217583757207,0.40747563855150976,0.453387701546412,0.507607133049353,0.5710189502171488,0.5754605202285152,0.754741630817885,0.5973136812489429,0.6449710789243686,0.6331517293823348,0.6005373780574198,0.4914264533551187,0.43097915890076577,0.39329179134531866,0.4921028285821273,0.4852657701635258,0.47231011849057675,0.5316937597980039,0.612389878966847,0.6564819373772695,0.6977125565191248,0.605176985500401,0.611613822043016,0.5432750710700301,0.5895015774326823,0.5084188062051693,0.4562739727123406,0.4791255745013085,0.5824558120580944,0.7951304848406544,0.6259364353030863,0.5224004335175094,0.616249108405197,0.513605734533235,0.5007297252094137,0.48318074154290364,0.43669248730966514,0.44109674372424346,0.486520261520757,0.4936617661672285,0.7573832754920607,1.2944150105867482,0.9406231795596414,0.4786451484963804,0.43110981928068487,0.42092429225939465,0.4470243809530097,0.4825873263312609,0.4711487633313182,0.5005272896708978,0.5206173186968727,0.6249476331796597,0.696616493669327,0.7543942692095381,0.7913253256856092,1.073770714412625,0.9380766983385772,0.7312218973066812,0.6495629805054367,0.5626699249557781,0.5657843169794169,0.5524428202492959,0.5188197399634898,0.48814906276247777,0.5162446235001149,0.5082266860786866,0.5810293026443678,0.6043759694243777,0.6828067838614574,0.5091228631159135,0.6338724232138008,0.783928643478009,0.7478551239425663,0.9333960755318889,1.039427072356036,1.31833148095033,1.83689064650536,1.428528095207576,1.3019633526374548,1.3898005561646791,1.1578499828991151,1.1021569379133387,1.230018090688116,1.4415835360510258,0.9605368907216436,0.8472635824309752,0.7874884690308074,0.649563562805416,0.7766022246936232,0.6133954420023529,0.5455512763233841,0.6616724914458795,0.6564448821383648,0.5656299657848378,0.5667733827442684,0.6518447661705493,0.6098670211342049,0.6905849721807116,0.6795152350447806,0.6951159953720145,0.7721515202368939,0.9630439360880303,0.9089257330815771,0.8646384054983351,0.9565406580659468,0.8926670032537806,0.7825864068957967,0.8298197245339068,1.1129357681358778,1.561948044020712,1.2973531246463799,1.2404202722264919,1.09118952413687,1.0782210813406166,1.0518602555507104,1.2418430547716917,1.4712249927381607,1.1287297472307554,1.0728110128144284,1.4296634687153575,1.2986581448997292,1.122222347724883,1.481777780993847,1.5790992754173916,1.379161697634993,1.2432796304910805,0.9464117211621931,0.8469116241100703,0.9564297073622249,0.8396775378423899,0.8473887517193504,0.901227331983012,0.9110911090662129,0.8963864161500494,0.8144592629040686,0.6600737847219166,0.6787479439885047,0.5907612397007459,0.5938709553907807,0.6687165966139897,0.6300815354095765,0.6423264234995107,0.6670432718306087,0.9111391448712597,0.7362057328549705,0.7529356891021132,0.7151989606158287,0.741220544038927,0.7448991831349372,0.8812426902441537,0.8539683954968849,0.7480842256500002,0.8763228712643821,0.9782006861159876,0.898110097531362,0.905366343893269,1.2207107635438952,1.3238090830653977,0.9964884999223945,1.265690644333408,1.6569351399462053,1.5961135290565234,1.2029567451397867,0.9320149528548042,1.6633512790818534,1.3952179530949378,1.1167702558915706,0.888845385576658,0.7051357057180362,0.7190158244282068,0.8326035132843814,0.7065036420497668,0.7289724696666705,0.715616777161542,0.7465099942696883,0.5109197326411943,0.60746465703359,0.46172499789849036,0.5065212129380462,0.4938957906009848,0.5178179798642689,0.7705420806980524,0.5948689384282214,0.5710303973224984,0.6640868791447992,0.6265769541141504,0.7528687170267918,0.9151994473617895,0.8019820649433864,1.2592598207581955,1.2583793757104589,2.3930956951260614],[0.884378450085756,0.644407449891974,0.6371239508182945,0.40044478259745186,0.49733710338317544,0.5222294423506606,0.45555487841742126,0.4981925237931754,0.5095707283384405,0.42528391441276625,0.4364482659046849,0.46019051097077956,0.4570160474400297,0.4832784196706514,0.5483245459822828,0.5012786074673485,0.531000032756923,0.5574327016100842,0.6625129918669982,0.615744838689934,0.7780006006818332,0.8458880251120514,1.0904069855048188,1.1650270662248483,0.9045964453163876,0.7465893117533151,0.6663726331073865,0.5583054634270814,0.5372946079801705,0.5015104358738752,0.5399497789342221,0.4719128143845311,0.4866582897972066,0.5427877582701223,0.5293237078549714,0.5702355589904352,0.5212530354626993,0.62231330054555,0.5666977665372768,0.7963331023865798,0.8158359369466773,0.7585503249890216,0.8266992641520311,0.9824857288729043,1.214324216737261,1.4335739939659053,1.776065303378421,1.2570615794450026,1.5375586329000395,2.17353395198544,1.9864897495611193,2.2788981813641707,2.161198365689376,2.379703548808344,1.9266017013352106,1.358471676545775,1.2210122656624909,1.2021247454553756,1.135321212781502,1.773567188141222,1.18140207782278,0.8226425717049051,0.7182680435697533,0.9338078969649894,0.8224805677637235,0.7145039678865079,0.8118487598664604,0.6282915502305167,0.7773507188331891,0.7968732113191063,0.9008431078060165,1.2187555619158894,0.8728702332657714,0.9117977774543148,0.7070991904712224,0.8246907680650718,0.6820870192066844,0.6162236959666096,0.6560297913002814,0.7111210758625275,0.6207570842551313,0.732482914947451,0.8488709919117812,0.9729929544848515,0.8004692938947016,0.601623283950473,0.5805590393481109,0.6393119954280098,0.6059470900445322,0.6179640947517828,0.5802412536824236,0.6901654594304658,0.6840527051980689,0.5448073545352121,0.5312007368117334,0.5882137876451159,0.6504760237713402,0.5047516817399448,0.45815928590793764,0.5057700919569681,0.47422169545266113,0.5655635128193948,0.5363794337907558,0.5626834995151688,0.9138050452611532,0.575809522274367,0.743636741654925,0.75467634264252,0.636581427523349,0.6551130299326754,0.5180622629460104,0.49368759578755017,0.455646204501675,0.4407276873393289,0.46352793548676074,0.5223501769405263,0.5890915771408677,0.6005516373502048,0.781667322916344,0.6072810750049007,0.6332031323132464,0.6315315726167691,0.6099912002762659,0.49761235743414733,0.4514458490470173,0.43859128284666793,0.5278616428634763,0.5325757385454009,0.5549479593756176,0.6131505106362555,0.7031067781761332,0.7687557043212102,0.7908539170053165,0.7033149400116527,0.6803347584532695,0.5930235687394432,0.647576863954168,0.5428665451010706,0.4838895573791844,0.4808413107851617,0.5675048314626954,0.7938664037035159,0.6253117667655466,0.5252403526460773,0.618919169242355,0.5245610012144262,0.5145318218030963,0.4995082612128608,0.48152519320779763,0.46046507075505716,0.5472673266622712,0.4971482888359948,0.763589890230978,1.288169147250535,0.8865939392716453,0.48699931859109413,0.4388691161329988,0.46976017551613686,0.4833169800728127,0.5331108770900125,0.5188820457423148,0.5216026622300747,0.5459915183368438,0.6569378699786211,0.7324359976232939,0.780698435074794,0.8340331694546761,1.1062568063255296,0.9428356485761095,0.7563203817233775,0.6875412561724114,0.6045626484675723,0.6176899403768081,0.6078503549895752,0.5768309246146794,0.5472704788368976,0.549943102027584,0.5612608171848518,0.6368543138666027,0.6939640461880633,0.7515305617178026,0.5863517554745912,0.7158456286560033,0.8356355515565621,0.7971956825265918,0.9535573845930299,1.0212060639898903,1.292494731123018,1.81600219135602,1.463979286605114,1.3738957045339846,1.3626496118668172,1.1739751710773696,1.1418035819663221,1.3047138488168482,1.51208775587315,1.0532692143327973,0.9389419087820233,0.873839936041042,0.7388722190981903,0.8834111790102686,0.7218506722934376,0.6387820932385769,0.7541947113872218,0.766063288185983,0.6463858868820435,0.6364838288792475,0.7405308154383975,0.6905115007023371,0.7309516459721782,0.7359103489952569,0.7507888287193574,0.8012246597024955,0.9863816518343765,0.9411237124604397,0.9087960378788297,0.9973756606115425,0.9525370999387646,0.851547765902574,0.9080118701963651,1.227232880643594,1.7117867316135769,1.4011211288339513,1.3001474207682215,1.210778030515683,1.2329393943573659,1.2057070792018183,1.4055079548983247,1.6108880884399088,1.2583328898972306,1.217525089362118,1.587535025230552,1.4187388016310918,1.244279010991094,1.6412555472464618,1.7018710517505204,1.4632245069015015,1.3186902403130112,1.0401088570928017,0.9515978098191759,1.098981132599807,0.9875425289713398,0.9707112829770621,1.0276697657468654,1.0037666379784902,1.0125379680303825,0.9398618350696207,0.795216716496827,0.7702276585076848,0.7056106632080896,0.6943927087302164,0.724972852898901,0.6974167084294715,0.721602791435348,0.7231975239225036,0.9298514031850699,0.7931876872081227,0.8270400195524702,0.7998140278655944,0.8513482620859225,0.8655118469969291,1.0073943656590922,0.9700088730464895,0.8530241053361186,0.9932394779528805,1.094185070126956,0.9950519840098,0.9946732767690649,1.3242749563846663,1.3739543289756984,1.04519091850371,1.3201605427413072,1.7438884634354357,1.6417121820301535,1.2169396086010715,0.957226626089781,1.6942895136361085,1.4087698336675711,1.1927574917055601,0.9240607546952607,0.7537437883218111,0.7667215700253663,0.8715505251155973,0.7512382437465395,0.7213871747809222,0.6918578606657622,0.7804345497466507,0.5818641213100555,0.684352168548,0.5361104328013391,0.5506122352493,0.5626248107483132,0.6062759555226674,0.690452876489352,0.6034213939413731,0.5907777183606285,0.6436166822328168,0.6456013320222201,0.8029266826005005,0.97088626475655,0.822326313909833,1.2871748663667142,1.3288272936890382,2.4953210138328337],[0.8980481762979895,0.6629151674033361,0.6607469305950879,0.42484899073400173,0.5335815824881224,0.5518292997131722,0.4859780961000412,0.5324706850576595,0.5269180714626679,0.4523730058980825,0.46395914473104455,0.49994002341728705,0.49148379787297525,0.5034369246238584,0.569789204610741,0.5270759343264367,0.5598250136033864,0.586736732390188,0.6805942664092149,0.6358738230596162,0.7735389625731531,0.8359374624753259,1.0600012578305391,1.1486459813560468,0.9010347404881036,0.7520883559063501,0.6874149774419639,0.5937601465774961,0.5787959498911432,0.5307793414807737,0.5612218524788471,0.5072354408406188,0.520784083478271,0.5674339105926757,0.5683322453869644,0.5992950942339096,0.5581564270627823,0.6406096434093727,0.5920631250182506,0.8001621274471946,0.8196186459126985,0.767922362143898,0.8223293513935036,0.9504089117220333,1.2039007167430096,1.4170644261127376,1.734329467053026,1.2167776659980565,1.5008650036037814,2.1584022728429115,1.9303297007452196,2.215943863428569,2.1067758244642514,2.310060789425459,1.9167938688872794,1.3292515398559124,1.2047636513881104,1.1903426079767259,1.1324732203065515,1.7618569174061922,1.165291890862279,0.8300628394954168,0.7244623643230672,0.913252248484879,0.8209074170108802,0.7132315204965983,0.8019075685972006,0.6425628133690008,0.786614738340163,0.802820586360743,0.912726146516025,1.2246428742410524,0.8731114831896111,0.9066158566506292,0.7167166036096845,0.826798809241503,0.6975284578085925,0.6315260632080119,0.676982548544219,0.731426184410168,0.6535243523478509,0.754171294950546,0.868077960146481,0.9952029250535863,0.8165351194751795,0.6247898853154128,0.6025987969521523,0.6660702998614589,0.6316306731400095,0.6424762674698288,0.5999764639385705,0.6804850047121522,0.6691497737014934,0.5588111562333109,0.5565619936824896,0.5937728483100707,0.6621826206864074,0.5431692699833021,0.5027739558574484,0.5369440580153058,0.5091845142704625,0.6004561114342507,0.5769991538033733,0.5960373222450192,0.9308079637691842,0.6151544126321105,0.7689992302317965,0.7824144256952381,0.6682401119425215,0.6747115350453436,0.5544308558732938,0.5321501305457255,0.49043791412661025,0.48049486149717296,0.5093485578525411,0.5718337249981303,0.6343732114246416,0.6430097394166376,0.8026599084855608,0.6419738776912254,0.6588031943553672,0.6666631710764434,0.6533658468709425,0.5333439541883234,0.4970938359577804,0.4851353689281008,0.5588230252211861,0.5661021583304257,0.5880109489500204,0.6384198988093649,0.7209308416368027,0.7826440415174394,0.7998265638031099,0.7199022978122672,0.6964220179678934,0.6180687975709644,0.6681460154431179,0.5694467198729446,0.5206486796692696,0.5148504749071253,0.5963969053470092,0.8257114638574754,0.654225509221793,0.5583505469081328,0.6434644394320808,0.5546675434795616,0.5471167165023274,0.5289832481928939,0.518244686992301,0.49384894938823837,0.5863460562199415,0.5253408392519354,0.7739941681351273,1.2778223316071042,0.8755398880277745,0.5193202896416905,0.47292033783430054,0.512810781030449,0.5247474726615052,0.5691259106204557,0.5495779096457711,0.5530498032300284,0.5747103807581171,0.6745109735937499,0.7404288921203853,0.807523340742182,0.83882319584558,1.1098214914923268,0.9432404383963899,0.7710356595270508,0.6959727153201208,0.6230813917038274,0.6353019479117247,0.6308244811354862,0.6048043568603088,0.5728800595449192,0.5702840522233772,0.5833809703891073,0.6602053151955102,0.7212976620144841,0.7701647273938861,0.6096720128141916,0.7225233540124718,0.8343290062408008,0.8042681007468175,0.9585021898758493,1.020486498899654,1.2819671065457738,1.829746088060335,1.453269913157206,1.3467128405897821,1.3392481597463208,1.1575711304698733,1.131941991393472,1.2944648185218892,1.5051158293754006,1.0590700759098703,0.9421984276343559,0.8828986337648337,0.7555808341680522,0.8963542131511022,0.7460724968812417,0.6674432012295545,0.7777137924924651,0.7877594382094455,0.684097977075869,0.6744624527671974,0.7641298488802015,0.7134339172928427,0.7515777312772923,0.7609232591730243,0.7659286493505095,0.8095893230511683,0.9843330431143623,0.9434076666420463,0.9202339329876699,0.9846155807628192,0.9503497735315549,0.8511329064175294,0.8998971017658295,1.1973302312922791,1.6341938414094155,1.373168671820545,1.2921125827247681,1.1992934140683305,1.2169918987937554,1.1960402146664684,1.3847698377465623,1.5757328238078878,1.2521927538628477,1.2070758809762685,1.5589753526059533,1.3976594239395932,1.2334433439904926,1.6186315651127,1.6687884622956841,1.449741734919246,1.3062089999180788,1.0401125244968117,0.9562832297167577,1.096995489306596,0.993893441288325,0.9830626378166271,1.0372121103687617,1.0247327709711886,1.0306171788423828,0.958092576728144,0.8273096884745016,0.8067281705878768,0.7362334204854183,0.7260144104525983,0.7509825224848394,0.7245369892448894,0.7450000916790636,0.7399255274633669,0.9404036039410292,0.8015976121727633,0.827470893250997,0.806466361156059,0.8646938494665202,0.8828272354557882,1.0121724352379176,0.9779231482102246,0.8693318784897565,0.9977762576913503,1.0919857538643023,1.0014175630555906,0.9992684635412763,1.3072735734909888,1.3569913816510757,1.0375819124653387,1.300055363703428,1.720519723145894,1.6401084288134016,1.2085998394395152,0.9758605156146741,1.73911530478746,1.4898675794841505,1.2122671824496922,0.9371812126335646,0.7767563389284502,0.800736084225682,0.9061706270062643,0.786739676424558,0.7418528406137046,0.7085121028139703,0.801625558630329,0.6173285632591409,0.7053972580530317,0.5686695858253437,0.5796994048320819,0.6002427569076286,0.6501925939905,0.6940740845138526,0.6314776501930758,0.6227354781111988,0.6625046615673515,0.672656635119501,0.8372744188938654,0.9865833265344627,0.8487313669469313,1.3345998254957285,1.4236652135338206,2.669432140094631],[0.8771223410445852,0.6379648306083635,0.6374150905142126,0.4124984697889124,0.5021690662062218,0.5255305254004051,0.45765908646414666,0.492028206222186,0.525267838886941,0.4411671901086658,0.45348839217028786,0.49982219587567556,0.4576521145577665,0.47332501408175404,0.5243823069640072,0.484700599920398,0.5198982845297062,0.5307933449091075,0.609118879329105,0.5917382981988941,0.7162233437957334,0.8116437805196267,1.0110101392696256,1.0935081389265,0.8755012874100584,0.7126018129366006,0.6756561485387166,0.5456670666317257,0.5272793638024511,0.48545575202437385,0.5129636639672216,0.4678366120250176,0.48643839605615025,0.5248670007614032,0.5110185252752832,0.5426479518084713,0.5131943813784168,0.5988127577152869,0.5636292057471344,0.7537597345567567,0.8215091333093245,0.7637884157862312,0.7997284573786557,0.8880637162784798,1.1761889469122022,1.3828086907434047,1.6415309180158453,1.1142820188549307,1.4293356841277793,2.0738699287713933,1.7196517706632855,2.040895739326442,1.9319683534475645,2.0989828983297234,1.8051388788735532,1.2131309897405416,1.1752212116025884,1.0960844620738301,1.0808682884729426,1.6866153744387455,1.1202472221442166,0.7805035692155909,0.6770257598959595,0.8566460825852594,0.7723635396996708,0.6729537943855098,0.7366808745846438,0.5831446502482658,0.7175394472708773,0.756800870061127,0.8567046972508783,1.1350309948889858,0.8182581762587288,0.8532156329842832,0.6602310151464624,0.8036588231050686,0.6419816478579634,0.5666063869311881,0.6184777656740731,0.6815948339645578,0.6047786618519695,0.7090663935875897,0.8482146104831454,0.8920787782457447,0.7715335989591421,0.5806497394701599,0.5575290311669747,0.6265539453888544,0.5869826402091302,0.6051129658586799,0.5321991220894315,0.6564163782944457,0.619896881564475,0.5221501652353597,0.5185436954178552,0.5637905810851,0.6334501876728421,0.5136575392382252,0.48058596328189185,0.5484190657599246,0.48065247123392685,0.5620314890184479,0.5077463974041277,0.5422861746923715,0.8492683429805646,0.5369843353789174,0.7021197488959678,0.6846980861689608,0.5772021053482839,0.6433516435215099,0.4939456546093392,0.49046231231860027,0.45465630528084405,0.4559729628040813,0.4850910655274578,0.535322683590011,0.6043394690035844,0.5861270544329276,0.7378997627954109,0.5836972530094785,0.6030850551404164,0.6156468014023657,0.5974332632232607,0.5034360869892196,0.45472564005804134,0.44109980823706535,0.5195455009219121,0.5223918264305164,0.5296270723605813,0.5519267653659354,0.644689151633696,0.6841433569834341,0.6915092476610848,0.6099557624895666,0.6173109782640812,0.570086698944953,0.6164376679995471,0.5561787620620887,0.500682003796176,0.49868837268665583,0.5568954398938353,0.7665597986982997,0.5987734082209681,0.5181742087703146,0.631634353489795,0.5174052483160525,0.5169327348512863,0.5158966639765691,0.4910672165668393,0.46983491993796467,0.5599901204421249,0.5123869169988159,0.7800749938188963,1.3007629928223647,0.8831392928237791,0.49655214799299024,0.4380364975897806,0.47027545053229336,0.47414199403511426,0.5286627372769113,0.4993824234663872,0.52130461442037,0.5454823089488376,0.6156417568311167,0.6715924847285341,0.7862195191802056,0.7794437592444012,1.0732609265582873,0.9595190576603645,0.7591932662694424,0.6474476533008348,0.5809879975497058,0.577485123395484,0.5765201129632301,0.5519451537447494,0.5094694975854236,0.5242716007779585,0.5436733751594777,0.6092965520529244,0.6275627144452056,0.706378770623843,0.531718032109079,0.6177975244430991,0.7299203434982149,0.7335327130063993,0.9144091534882993,1.0076780966991599,1.2533900056471068,1.860551365766905,1.4181616801885246,1.2437363015581158,1.3062407916627885,1.0768400332363486,1.0443816209731085,1.187610423746255,1.4170854976203113,0.9289208329209481,0.846166248479973,0.7899613442769196,0.6667386269991187,0.7922727981852635,0.6473039748711638,0.5804895301407983,0.6891630081028216,0.6904735314851391,0.6012892079942063,0.6068827184784364,0.6900555772423872,0.6501129742419073,0.7229901202955016,0.7200922837737265,0.7314644410950601,0.7999923467797679,0.9858882516342448,0.9356324429381985,0.8998477809207313,0.9797729423356917,0.9156853707923615,0.8066571883220013,0.8520057367147016,1.1292605632022157,1.5654036021093245,1.305496910361338,1.2279690577514761,1.096245427959474,1.0951395998617992,1.0831054859130629,1.2498922054221735,1.4844371502945537,1.1432503209674494,1.075820593181522,1.414729100558603,1.2943952443213866,1.119295803603378,1.4658594519697925,1.549481818715001,1.3665636954826819,1.2485577507273944,0.9499795804337523,0.8440080400645487,0.9608815692505592,0.862130941084707,0.8632362930416304,0.9198024681702004,0.921652007197147,0.928225803382848,0.8459305388907593,0.6984402829656194,0.6928938030498323,0.6303282102052009,0.6396529029459763,0.6977956216228935,0.6699889966986394,0.6826645573442105,0.7060380353832639,0.9319027619511031,0.7794763779661283,0.7966727042827914,0.7550021752102345,0.7783021859390598,0.776837026533255,0.9061256208643594,0.8842908516257445,0.7830481910663114,0.8962843494839288,0.9919337932572032,0.91602674173375,0.9149102537920932,1.2214130449091252,1.313433182617364,0.9874350619826143,1.2701290862212684,1.604678960038286,1.5461186973072458,1.1733940770914073,0.9247122987225496,1.6622070510968614,1.433515168514287,1.1444137585772574,0.9131919315275442,0.7325011370232896,0.7630991508555102,0.8725827258218776,0.7308903459542346,0.7245709878262158,0.696031958548068,0.7532131944149383,0.5502951339756506,0.6293063492462074,0.518452314416389,0.5405072010851736,0.532820057478685,0.582989411287272,0.6524887500477462,0.5811187853723224,0.586556719400018,0.610040897732275,0.610620429394199,0.7902573075208681,0.9906689802620882,0.8447746849553283,1.296962479488976,1.3411490290272028,2.4040726846736753],[1.0614841053303892,0.7370131944314553,0.6906361199059695,0.48241473020691267,0.5519254338737486,0.5707710879326048,0.48545154213196673,0.5134719674699455,0.545630534793033,0.466766607868248,0.4767412090264537,0.5271110751412907,0.48844541564977517,0.49686540376773175,0.5512543838612806,0.5112148819133139,0.5470097198529223,0.561290934982931,0.652587244062405,0.6244145446832658,0.7661435753688522,0.8506176548464842,1.0677733642621798,1.1475156200630243,0.9196343637297627,0.7539088676947011,0.6889203596327128,0.5668582105919014,0.5507697655173367,0.5176338666507541,0.5448827961936274,0.4902914808410795,0.5071649976965042,0.5548323891187159,0.5415273190214824,0.5743191630134784,0.5460204601009381,0.6338299091175822,0.5835102104951877,0.7662746164467347,0.8296917967125991,0.7861335807733895,0.821769584793342,0.908445614790913,1.173599906792332,1.395354351443902,1.7036969095652568,1.1736933330046666,1.4737576779951906,2.1474676225582545,1.857608796044924,2.12819421721054,1.990064053583528,2.158504427883306,1.8458420050688884,1.2585980204408438,1.1753018749683433,1.134969335246062,1.0871256617219065,1.6867834562580104,1.1324479050994138,0.8087931882287472,0.7115683081757829,0.9119274389790883,0.8123816174091933,0.7002170931583689,0.7888110864541286,0.6236384912491097,0.7628383909536196,0.7868990433500547,0.8826625816086058,1.1606726518913812,0.8569950100651753,0.8835552292848682,0.6945381595509168,0.8358605617819779,0.6752421193985497,0.6045611179118966,0.6487781935458252,0.7040954383874488,0.6305754926991418,0.7179815499813363,0.857721608135349,0.9309237892794658,0.7832637732831456,0.6020362510431132,0.5824814824932845,0.6540661453517894,0.6171260901222612,0.6280242471822699,0.559571511621467,0.6812884480863511,0.6503877924622946,0.5526627670724577,0.5474225001547107,0.5982549041350775,0.6588446849388653,0.5373617442538899,0.5054501504622966,0.5840143131834952,0.49180420992429946,0.5995075574029816,0.5347559342894028,0.592951831758597,0.8987161069504453,0.6067344598161266,0.7845376818058434,0.7733799792644062,0.6775370156144359,0.7071989482841651,0.5686669618618948,0.5310553034619766,0.48574433770502523,0.4741254582390727,0.49943919002852216,0.5496318764909988,0.6169869461738019,0.6001175923471493,0.7667341566830667,0.6148866811675623,0.6315780480884805,0.6364868553535519,0.6193910832573768,0.5135045898604812,0.465807443367555,0.46547143478155684,0.5519508021005144,0.5557348999640787,0.6013175056571266,0.6239606832427189,0.7371506228458912,0.7928948620827327,0.7759879521318908,0.707525220035647,0.6922379982630001,0.6121218664722021,0.6565368434631254,0.5761304744085258,0.5177509437640182,0.5204574196033592,0.5671341708934633,0.8006389126874374,0.6199810143549207,0.5390854157948676,0.6449330200338113,0.5376380367997836,0.5323688204089513,0.5323317833107225,0.5195083332483276,0.4923397386353171,0.607702124750815,0.5387989030575201,0.8087827015912692,1.3547026248140113,0.9336608718094531,0.5290610602527147,0.46844593621522895,0.5059296445871592,0.504465715308493,0.564549659884268,0.5283762035755183,0.5425009816399923,0.5660411193486504,0.6425022988179548,0.7030492492431331,0.8023659741852167,0.8242796365688964,1.107651405315327,0.9801418065431773,0.776310722336436,0.6850873676790165,0.6089096560757948,0.6134514788154793,0.617412929668301,0.5912727168232307,0.5512688534043566,0.5369069421641635,0.5725655762199319,0.6498972018286119,0.6962167863586107,0.7579486066536163,0.5950107747212288,0.7032158372112869,0.8249614135038031,0.8016600759733469,0.9457005044814624,1.0011566070603148,1.2429680093448872,1.8135851246922567,1.4285803166631732,1.3033675684302184,1.2992768932367975,1.1135219210710599,1.0855738298985562,1.2523431425851594,1.470683648149156,1.0315668133568567,0.9417070617363009,0.8851117659741857,0.769831430437501,0.9260067800589123,0.7763426135188521,0.6886174233805104,0.8025138725069567,0.8246376056147675,0.6979100048617982,0.6899543289199155,0.8034093691645947,0.764909503206807,0.7867210539748217,0.8042374766052091,0.8405671822506351,0.8626406022540964,1.0376147297933143,1.0225056579764538,0.96876054023507,1.1256950158982058,1.0397811920580773,0.9396391529921201,1.0017878184448157,1.3316647232537493,1.8545474497552636,1.4785868346468372,1.3580188817816117,1.2751143597756887,1.30571869583814,1.2711232444688965,1.4609179604631521,1.6897817634749654,1.3049929242725304,1.2671269773513274,1.6227872055754489,1.4703034830260586,1.2842490915831053,1.6641989546787914,1.7445682581873883,1.5029940385644145,1.3481725746128792,1.07233890045507,0.9685716678581273,1.1270400654831632,1.0303591401549133,1.007768250584963,1.0651513765533813,1.0205355534217104,1.0500209313372595,0.9900768501333713,0.8461959123974561,0.7998176711348167,0.7644198257446643,0.76874559491556,0.7923571039727995,0.7682947709582985,0.8008820126123579,0.8101036986551031,0.993721690021706,0.8813707366807144,0.9312610277749075,0.8961372772002315,0.9322922736930565,0.9265580113299071,1.07911699715639,1.0460620078369507,0.9282371265096363,1.0558039993277304,1.16204210960561,1.0624821293662856,1.056095630285138,1.3783662263496246,1.4401323861373363,1.103883306210511,1.393722071145948,1.7766649998243844,1.6724168373882835,1.281332820922097,1.0086715556962857,1.6817023832790108,1.370304777449615,1.2624056405059856,0.9830609838519042,0.8169267328033102,0.8252988320877156,0.9084727474345599,0.794916193198417,0.7812176675277803,0.7472082190023637,0.8219449367787681,0.6327233967018135,0.7157668642547359,0.596582999470717,0.6085692822940484,0.6113366361637252,0.6813541996885524,0.6537693150981172,0.6127635356885147,0.6412676358659954,0.6303283293423869,0.6404963447943745,0.8227923416680467,1.081809263010483,0.8894024558982904,1.3053319622133264,1.348650870098811,2.2609066754882106],[1.1675092106686764,0.8388165914939152,0.8312351137206323,0.5947154875196794,0.7384735768192506,0.7161843436265757,0.6332881562257036,0.6828503906851984,0.6520529917774286,0.5867300113018247,0.5816653037357181,0.6787318781923738,0.6384856902417132,0.6042017318584816,0.6538902943340879,0.6520241469763588,0.6846768142333812,0.7072529502623582,0.7902882317465968,0.7830494607289867,0.8888565157535386,0.9735070557206601,1.1589706563537883,1.2559945328482633,1.0399670336826805,0.88471956606728,0.8387901947279724,0.7516674511533531,0.7511390336550912,0.6983791845682691,0.6820335781876551,0.700551583429187,0.7082089834367843,0.7406778482940807,0.7568685418530712,0.7606106308786632,0.7693015296530752,0.8166300483182699,0.8032457512901314,0.9728237130703526,0.9880036840715372,0.9309002974812032,0.9571998323968909,1.0162644446725164,1.3434609531989736,1.5592273733657642,1.8237635951659015,1.3087383479560453,1.5312095802449806,2.2610389345226274,1.9523288795201879,2.1318842646367235,2.012273638509256,2.1567516409920264,1.9778912494733047,1.3267167528321753,1.1990072678927206,1.2583554708861406,1.2036638151942685,1.7051233546643842,1.1651441993303389,0.916554694872213,0.8421650056391455,1.0010457684941603,0.9364852758214798,0.8189821965679825,0.9185473378016679,0.7591671039975856,0.8702834789191942,0.8844235858651968,0.9925807940712352,1.262434843886934,0.9356313625036579,0.9532921997122854,0.8203452565411342,0.8897506721363562,0.8238755437805688,0.7815680153327146,0.8357971085112074,0.8604929598207943,0.8788119577151533,0.9463729713402731,1.0782137415832396,1.1779323597613276,1.0313079780124166,0.8349087157696814,0.8053261380636997,0.8752594371785177,0.7960889023540013,0.8137761817611651,0.7410409850652606,0.7801363393972323,0.7481936505582072,0.6811887699475402,0.6791810212542859,0.662364994333516,0.7030400143090003,0.6824282200338575,0.6739913227147385,0.750531986647717,0.7068000478555445,0.8123693670433196,0.8015188385986006,0.8369584633289662,1.097468774501857,0.8895227144925393,1.0330852317692338,1.0206617620191392,0.9312122824116633,0.9217087283198433,0.8068946930127522,0.7733796027131111,0.6832649515517157,0.6843856178514908,0.6740543191257629,0.713245993865375,0.7651160847202916,0.7633684898701495,0.892181244778269,0.7355343045707124,0.7125432495417898,0.733739164336106,0.7235246732635374,0.64177715249865,0.6223405253982163,0.6673323218323508,0.733636570637211,0.7753821162601646,0.8576283087940941,0.9074455964553617,0.9872260024126803,1.0451293049508028,1.0467266692502595,0.9991875004878259,0.9681409389796236,0.8872723175976287,0.8957134251834256,0.8236320347266005,0.7268278684113284,0.7357476095074956,0.756223394108019,0.9577208817727252,0.7996027332556392,0.7368967780027836,0.8296779371602365,0.7509359674939555,0.743169220559999,0.7422341241861478,0.7526112088857912,0.6842453252742866,0.808056521794212,0.7081728987779983,0.9204040604650688,1.3548181776274204,0.9544722748812451,0.736877948653517,0.6731453147050186,0.7312592111425208,0.7552227129058995,0.8173043916371291,0.7972346885002124,0.7801514708744864,0.794792240797207,0.8814781940460135,0.9614582701977616,1.0373882393896574,1.0728479068553078,1.3119895575694538,1.178365711301609,1.0240578080580751,0.9507605630125308,0.8751899945820407,0.8943057029714098,0.8903155117452977,0.8681566172735474,0.8434837181454339,0.790892067842988,0.8394538348101133,0.9159919181417305,0.9957166468359216,1.0174886488275776,0.8930889731961288,0.9787222136815513,1.0833736610921498,1.0673696687412682,1.177437371625912,1.1615639719186706,1.389304745518085,1.9447031217838537,1.591548539936926,1.5180408764472217,1.4387652410880194,1.3251361380146998,1.29029032066585,1.4506404662350076,1.6492589434637248,1.1968395522919197,1.1303402386177335,1.0880143450476043,0.9906797254208357,1.1309259857917204,0.9983488183077389,0.9089539160911855,1.0010516406635954,1.0250825234924346,0.9001211330412047,0.8679677565804207,0.9665304898059683,0.9269934456481336,0.9155145440162769,0.9245029942332968,0.9472770680447132,0.9502984408637956,1.0836407307077576,1.0614847459730503,1.0348606170746018,1.1602696011844715,1.1163518056183097,1.0564771750841988,1.1149191967926773,1.4819653403431967,1.936020058001912,1.6154227509745511,1.4646670478228314,1.4328444528110653,1.4754356696902977,1.4549648353252977,1.6290440921796645,1.8070526454051554,1.479642645303782,1.4625543522597642,1.8010015551958896,1.6192850440562991,1.4520020219059362,1.8372902799400166,1.8823516778137335,1.6336759894058102,1.5126561439236157,1.2590982508178732,1.1609148447000803,1.3579977101527072,1.262247473376389,1.2284156506828945,1.278236934214785,1.2234877279089311,1.242523529165767,1.1969624827732517,1.0744236749403846,1.008791564030358,0.963738097188449,0.9530492629455133,0.9367382788499762,0.9292764436928537,0.9625370442334726,0.9441246575013517,1.0987819613193686,1.0028783771003575,1.0577689122510046,1.0370238878062636,1.1043304964213687,1.1271671744865224,1.2688605220273965,1.2198591366966862,1.103372988153714,1.239715496049242,1.3289506936724453,1.2204903639674938,1.2165528434864121,1.53482489991149,1.5443810097126138,1.2249794120686395,1.5051305992863584,1.9165602270897508,1.7820789909454873,1.3590351833971062,1.1055089525707238,1.7664540111959632,1.453660058543466,1.3493110744277368,1.0333819349957796,0.925799479772502,0.9144804912408876,0.9684989715825344,0.9062125080078061,0.8798400478796894,0.8499464571112142,0.9877956655427597,0.8215024320085025,0.9217997243707847,0.8169684772385915,0.8134868565818297,0.8445821974086142,0.9302896701005434,0.8214414878049505,0.8002961099381958,0.8564466361695013,0.7960875115203925,0.8000516817943756,0.9743140824722875,1.214613337279519,1.027796733548328,1.3965029046090218,1.4844253920443924,2.5185986554861746],[1.0689957361779765,0.7397867538820152,0.7123527360669127,0.5142643160041774,0.6282185794361026,0.6478622727162047,0.5657125639807836,0.596634995016055,0.6068449623148455,0.5305045444988923,0.5356228714405618,0.6073230754108982,0.5609194128462945,0.5531512986122795,0.5987149408288478,0.5866746328864996,0.6199301164971535,0.6379283600314897,0.7136402925990593,0.7074663530221346,0.810384671463502,0.8958793990359232,1.0611696775560846,1.1672822526131508,0.9672911280674747,0.8241018416799304,0.7659215503321487,0.6781519084513578,0.6596902758063259,0.6075660602319854,0.6141541917482453,0.6019918785065791,0.6212214961992748,0.6461787130273001,0.6492022877086827,0.6679544263027318,0.6582909584031487,0.707315294470482,0.6897225672557685,0.8309483499651087,0.9164734641383608,0.8742072212050005,0.8817754865734921,0.9251411143372981,1.2743435572921626,1.549914775219012,1.7585304476435413,1.202172113806938,1.4945057084690354,2.223950563813839,1.7717447467516356,2.013097989082428,1.8604192183727646,1.9667557933177866,1.848220915597185,1.2217666388125141,1.1750446896387905,1.1705922232936943,1.156508407146636,1.6598405655423911,1.0888095670245828,0.8640929644638233,0.7679638514404437,0.9012450202695844,0.8634595850751354,0.7615634942691031,0.8387772992200873,0.6915328618605238,0.7934469846812873,0.8134195189799356,0.9255843544538187,1.183650612941671,0.8552886729441289,0.8992192714598076,0.7401145687314311,0.8407657510926776,0.7642136721036095,0.6953558278074097,0.7472563743257293,0.7842106706277859,0.7404588168039693,0.8258301591657942,0.9436636562892834,1.007297017892445,0.8642904264153846,0.7022119174798421,0.6868359553548478,0.7387776358742068,0.7100128176971595,0.7396640209266417,0.6490407391931082,0.7229734358922449,0.689766655722149,0.6053417772908324,0.609006520433134,0.6176007190457686,0.6686022019073513,0.6114579113051661,0.6029245317327504,0.6590695818176786,0.5931609733108472,0.6896409119457,0.6531372055483428,0.6861885309567946,0.961139002227843,0.6903556044024295,0.8431200915825978,0.8003121451145567,0.7144302320900451,0.7404174715609425,0.6429902842939886,0.6186623538275428,0.5752223226065662,0.5829323374505707,0.6049447123999538,0.6543965381495807,0.7213818175187477,0.7161593486447415,0.8355720848451987,0.6867201576021903,0.6734871933913998,0.6930182655973486,0.6897860298233162,0.612315524177657,0.5605867427303791,0.56485972114832,0.6304734811012731,0.6367895586932768,0.6765959152072758,0.6942024052126994,0.776205294630848,0.8131932919369336,0.8063992014459422,0.7583442622363766,0.7521259318209743,0.7106361692549508,0.7184653114937815,0.6951832708595194,0.6385039869641329,0.6528840877911548,0.6817858423871164,0.8987290090501775,0.7220615037072702,0.6601262498770455,0.761872389887606,0.6583834905658564,0.6618758937023914,0.6370699370119163,0.6247182020531561,0.5731371344584208,0.6895882066676181,0.6138725664999866,0.8371628356923194,1.30396629741898,0.8767685717634258,0.6322464485428383,0.5770619689693415,0.606314318166807,0.6301990219566089,0.6597792113018017,0.6418417189140819,0.6498445725483591,0.6842889992380361,0.7498854466453604,0.8103820316891058,0.9276613250210103,0.9187404576835096,1.2137154890040878,1.0900755527418071,0.9300484367205885,0.7905737704920822,0.7332191560817639,0.7275007314707571,0.7169310598092139,0.6981399580685739,0.6672963279732356,0.659312426208217,0.7013609885832329,0.7516608346097373,0.7996963557610264,0.8324996313961237,0.6837552639396847,0.7553196928134641,0.848726176185822,0.8699266680420664,1.008900458022328,1.0450861410936194,1.2787270651883647,1.8699148472741836,1.4443661439011457,1.296931474996567,1.2718890575096085,1.137204801587362,1.1240540912915775,1.2611795790987594,1.4713468749823673,1.0265677205165753,0.9347642504018444,0.8716174532664086,0.7723832401764986,0.9002069194317166,0.7673315401276015,0.6922870729829739,0.7827741211004612,0.8033686379007559,0.7002832994260882,0.6943376799346925,0.7732040270287669,0.7402852072647609,0.7776618617660102,0.7896692063453792,0.8013484235687192,0.8304109380286432,1.0034590095699298,0.9679101855898503,0.9455545287780907,0.9994115150445767,0.9578960566677102,0.8641689712418955,0.9123332387211853,1.2138356280121827,1.6701988369328111,1.3790506489538954,1.2781559519678989,1.1936240478502422,1.2178035805927279,1.2115726890386112,1.3765834406734083,1.579381304111838,1.252046497892965,1.1945829502898095,1.5222644815211979,1.383540974923044,1.217995306054407,1.5915055982656245,1.63828390540419,1.432859295966291,1.323979501696521,1.0338424276389047,0.9533965056887428,1.0942839563744187,0.9983384131946693,0.9893931517439373,1.0483446735297952,1.023148287226767,1.0525707608274706,0.9755119706777009,0.8517219662230076,0.8223933370112995,0.7532628248482542,0.7440723634721398,0.750075174300907,0.745677089498632,0.7705214946011281,0.7649290688851592,0.9514887000701678,0.8289410891241092,0.8643492771379334,0.8367175553292429,0.8877018818816372,0.9064181080146915,1.0236607732885248,0.9907776637309097,0.8872961128475073,1.0062458302732893,1.0876324133355533,1.0010013732706973,0.9971827040260969,1.2985684798226944,1.3447024459176975,1.0272107791144454,1.3167325306732733,1.6833198518210533,1.6022582122299354,1.1908822657048173,0.9623386914428074,1.7271428792247563,1.4605578527702296,1.2322749444529733,0.9502531009587014,0.7928698874753116,0.8246550077632275,0.9315955243596801,0.814883194307832,0.7215349516851072,0.6710489390917939,0.7824139589719594,0.6385972729578773,0.726124525958992,0.6473897113418218,0.6439511826268842,0.6584883081687095,0.7201639479821129,0.6863674672378051,0.6772589964016573,0.7056949179531411,0.6980178919109,0.7377457672221531,0.9276518654044086,1.1371248577698352,0.9947435966802906,1.3742278632869425,1.4762716383201897,2.556524174517595],[1.1016217100551056,0.7346988885912129,0.6906956856990936,0.4960039187342507,0.5919680075114594,0.604085882480246,0.5297560648358611,0.5483145699121231,0.5776837253282665,0.47778727975094243,0.4842242802385626,0.5585847204530565,0.5001110883121257,0.47958747518281053,0.5227076741458273,0.5055826340923942,0.5446126478179169,0.5500006802803244,0.6120622817724756,0.6096647533251807,0.7108008810546942,0.7943585411578916,0.983131648312372,1.079359530838796,0.8779621981631206,0.7282956449330553,0.6808622130502708,0.5880133387864022,0.5706470875028526,0.5344267291569362,0.5309713682541094,0.5319102560609923,0.5579441153040754,0.5646202080835664,0.5572832147486887,0.5789424048359756,0.5802989116341075,0.6509559621491225,0.6410918433500546,0.8155821738109742,0.8722554126675873,0.7986178820784382,0.834130207493836,0.9039600172229187,1.2061574193767342,1.4650203107251456,1.6672867595478122,1.1315644280334904,1.4777603954910372,2.167203045134344,1.707352212343609,1.9770620383588404,1.8591783178806682,1.9420404772004733,1.8068114299299587,1.2143887779581457,1.2001635626399365,1.1106154230781318,1.1317716083835407,1.6454298133940777,1.0999322787625572,0.8177363151256203,0.690669113154968,0.8151025666596737,0.7737852503857189,0.7100533028046416,0.7495264889782371,0.5965032589235562,0.702900672522762,0.760156979597386,0.842465909515663,1.0972032336414064,0.8053289259552953,0.8325631547579609,0.6528524714708632,0.7999466454592652,0.6622138745209651,0.594203702224969,0.6580729379781587,0.7254107408236418,0.6730347839184991,0.7981141906938533,0.9272009975732391,0.9518764711423972,0.8400361006258684,0.6662170249553268,0.622581833475223,0.6804350228403365,0.6236041508283623,0.6508372610784249,0.5476790815381304,0.6741016314989582,0.6120615532242438,0.5170354455153099,0.5252105185642514,0.5626839265619297,0.6340065970055451,0.5620630934806256,0.5580620141064256,0.6565648816344443,0.5630621027128335,0.6675668390575294,0.6295214112648796,0.6768172148708302,0.9311387296308966,0.6777940563536825,0.8586325174407912,0.8067343992305311,0.7243861096111885,0.7426198223129535,0.6236188312786161,0.6065470183740305,0.5454452758976502,0.5541579418902758,0.5428815327717882,0.5716318547147025,0.6345483100301353,0.6072590611254607,0.7255690437855589,0.5901667473251789,0.5969526270977479,0.6193258583465233,0.6022965479810781,0.5455322417620667,0.503513005001796,0.5303215472639855,0.6068719449664915,0.6306226002263403,0.6695375023393828,0.7000850583228768,0.8050783711930729,0.8563566447250809,0.8298953129940932,0.7742318989275789,0.7644805246820642,0.7171248380448274,0.7419641084710209,0.684373545651338,0.5928617326837771,0.6079484479317487,0.6109595216869507,0.8246923462226229,0.6465476928103312,0.5964916678595175,0.6936605017761378,0.6031197691262464,0.6064807286976581,0.5961969887363524,0.5886386599910765,0.5341491246215566,0.6817130740255727,0.5816201454807454,0.8581949897068615,1.3434786892627513,0.9042783854322702,0.6021754305035069,0.5430208594275593,0.5871461840334783,0.577691787441142,0.6408878883290937,0.625771533196119,0.6181617857992153,0.6633452348481007,0.7306264860872809,0.7911764974200038,0.8940805211909376,0.9216927664395277,1.2158915657879013,1.1242760846798407,0.9445641346460278,0.8056668484368354,0.7291816027631904,0.7289711081008832,0.7243156321944313,0.6893820776430647,0.6586814110253055,0.6457736099360012,0.7106410148705967,0.7340665765515787,0.7810914786208063,0.8311961958046126,0.6858396275512394,0.7698520498203056,0.8546375706290744,0.877150302373317,1.010073789583021,1.059032719732717,1.3012022875457614,1.9091895577698363,1.429531411094779,1.2803023637133468,1.2514132531887814,1.1363317735795044,1.1380586384251554,1.266806325396983,1.4800324979029797,1.0377555968428238,0.9868769675453556,0.9264880089324427,0.8122676513783984,0.9321367451627047,0.7912764995727752,0.707745646836703,0.8010754130304217,0.820274220695956,0.7100369809984425,0.6961668498424016,0.8050516315230211,0.7730528831627344,0.8040825915404354,0.8078777822934174,0.8376449342602543,0.8721225812112638,1.0526885453344719,1.013362420204351,0.9775225234660916,1.0930636480850822,1.0150854367893003,0.9224831679780173,0.9789373844981379,1.2705481712119218,1.774005232295382,1.4315656240396637,1.3564172993879524,1.2529918552499792,1.2768407695067627,1.2625319894564984,1.4188224180882305,1.661791754665775,1.2946837901324768,1.232895146761594,1.5598549764481693,1.4287362902335932,1.264210837166078,1.6116913101018928,1.680958511193877,1.4868256194061955,1.3997432721648304,1.0960531021600886,1.0037693487295865,1.1217258139624546,1.0220379607925392,1.0137137654324353,1.0796891632641608,1.0353635245321258,1.0683386387394547,0.980102800340528,0.8388046180850632,0.808334875430153,0.7583429732262422,0.7584697911013711,0.7687882609911288,0.7635430751138844,0.8084402018331863,0.8153297058902745,0.9724277703481219,0.8780438514713191,0.9296904143933378,0.895598951156278,0.9266977566339193,0.924409814611472,1.0650778366026228,1.0378794522077202,0.9248541395619646,1.04920381219814,1.1425026858083405,1.053334149350635,1.0525317404853378,1.366503645172569,1.4170385594173487,1.1062946928534096,1.424447158171962,1.7071895534863317,1.6140426086187316,1.2936254222293686,1.0119640277702575,1.6591435073298026,1.3906227250402685,1.2285429145725764,0.9620984147590915,0.8096328623440482,0.8189515024664844,0.8956024323352009,0.7905294095077366,0.7583098744220388,0.734177954673216,0.8167785776663655,0.6408103438499035,0.7562229554932873,0.6429453717894381,0.6374263425185648,0.6386050150804873,0.6998423331269291,0.669684811236636,0.6523402889834787,0.6819589110652967,0.6624937264945292,0.674247980427488,0.8751253365107173,1.124145198109365,0.9782215768520677,1.3099288600252221,1.3923569615651372,2.225091137038311],[1.2382934451737773,0.8693626028075458,0.8505667107435751,0.6206855153340174,0.6962263291963238,0.6963708963898285,0.6135291127114014,0.6501375980609179,0.6458149541612618,0.5305990018972567,0.538268483191275,0.6459565126074536,0.573646721454963,0.5516392147951281,0.5958668067512775,0.5949600337530015,0.6251040581481799,0.6478551047935537,0.7344322437433691,0.7160149035047597,0.8430238950386715,0.9374313506103411,1.1308415875536155,1.223549965982618,0.9996829436259543,0.8445591554908912,0.7937376900766749,0.6923291121254062,0.6800436437377778,0.6235213680404323,0.613060228381049,0.6085560607574362,0.624360700991706,0.6429760734711527,0.6519201421475793,0.672967331542104,0.679822483941359,0.7472515074815615,0.7398844968321051,0.8948630658065542,0.9757562610906906,0.9034904494776652,0.9241824125512245,0.9916721097425949,1.36465817315033,1.6085337115143121,1.8553180471214896,1.2793529230923242,1.4948294431293705,2.249127381945187,1.8284306330204045,2.025029199063577,1.9118786103061727,2.012266626794896,1.9100783448529657,1.2865946446406147,1.2171224256948368,1.215717744566373,1.2210215294954698,1.7261365253893877,1.1946536606810287,0.9298570164526303,0.791963051912883,0.9630673856254116,0.9266752216759953,0.7940883324378831,0.8518878534144998,0.7004729990784243,0.8242360271270068,0.8339056829434884,0.9367187784561691,1.207928553609355,0.891617773815546,0.9470892270588622,0.7485766154758076,0.8446944061519194,0.7690742206318628,0.6969878436055509,0.7629132338344687,0.826528363259675,0.7749121692553621,0.8830401147204213,0.9879385340171792,1.055917819317264,0.9187931613218637,0.7515594322608325,0.7291182770368775,0.7534165162757718,0.7222740701974384,0.7487042397538567,0.6291853428527105,0.7185851515207548,0.6652047718800997,0.60128961086886,0.6060648222354111,0.6370008966471701,0.6920730806490728,0.632030809237668,0.6344068995058221,0.7281228081175432,0.6422229101623941,0.7630812469669295,0.7141382889157399,0.7914674437398593,1.0113057406657258,0.7823930043475537,0.974008030384432,0.9454274625315576,0.8568432197694589,0.8587661920628172,0.7484668866252352,0.6935854900834579,0.6409784012143598,0.6313845130380357,0.6201131722153775,0.6562171722816273,0.7245141031791628,0.7179050217354856,0.8684327676339384,0.6777788105997116,0.6590527790003938,0.6825672130442769,0.676259645604679,0.6098766696104251,0.5724009452866013,0.6087513700902903,0.696742273484032,0.7102302533515478,0.7750268155096405,0.8006887435412698,0.9035915691834009,0.973983385064261,0.9477509051770283,0.8973462010298576,0.8670394588748909,0.7684085439113214,0.7734721228947394,0.7283174693075227,0.6616350955065006,0.6795110803279073,0.7036267786438427,0.9257652387279753,0.7464301083928225,0.6753252433851328,0.7869504776893887,0.6850578995452414,0.6807291192956357,0.67462391362988,0.6821000625752772,0.6144576344819863,0.7541192291435705,0.6853404492096847,0.9618118027347753,1.3818996660252767,0.9627553381661489,0.7160598686466048,0.6411311671398824,0.682705848765742,0.6688754235767177,0.7332809903639387,0.6912538200121986,0.6832542700508915,0.7260688079183324,0.8054183839258805,0.8819954872760287,0.9870442625332049,1.0170768537243318,1.3078298693856325,1.181736278405012,1.0031522804821724,0.8859890841963705,0.7853492867496918,0.7976090729350999,0.7831456969289513,0.7589850570315927,0.7448904831055032,0.7068773598999267,0.7945781230277611,0.8149291985525853,0.8834571303598373,0.8981173165604497,0.7658076491528566,0.8590018546909312,0.9833656736217703,0.9782940048085274,1.0914199903497352,1.104982310042046,1.3431721336083906,1.9327110569295467,1.5326758307858366,1.4283419535949453,1.3356132512056735,1.2411595511335145,1.2454629825004209,1.3823305580447334,1.5948423615817304,1.1565200496809718,1.0915960880515265,1.0260882211164837,0.932838579883417,1.095347980588362,0.9644267697515586,0.8529707107210653,0.9652471481972953,1.0270215541609924,0.8971556360166792,0.878232523855674,1.0040432453687742,0.986411737274516,0.9577344152886933,0.9943513060507047,1.0489047158406146,1.0248193017234029,1.1885342669100862,1.177508691788511,1.144513828729,1.292294508587493,1.2314816291707935,1.1613648699606371,1.235639124429514,1.4783995497226965,2.1410792676306496,1.6024700502536384,1.54281681648309,1.518255644212401,1.5615965734240007,1.5313453794318588,1.672881513756935,1.922361333157612,1.5246194310484702,1.4577154521059943,1.8064474742241348,1.6447589558391653,1.4493059822562642,1.8396618674270702,1.8232437189564046,1.6205795048587412,1.4790738495863613,1.2281041592378095,1.158766196613294,1.3221416930351628,1.2335919380277458,1.220076290579454,1.2930162219892172,1.2021727418183525,1.246086982883672,1.206146535491249,1.0811302526999278,1.0050056722493363,0.9840370327966965,0.9866175919682053,0.952364073642822,0.9481380420270678,1.0494687732479664,1.0416315435110184,1.1176407914259316,1.085434507468121,1.1583147150694224,1.1404701158719863,1.180643889487408,1.1885296150521032,1.3119156907199894,1.30332010198098,1.1677929583992628,1.2805074872394078,1.3954183033419656,1.3000964829707393,1.236623068023583,1.6082313731677973,1.622843948621595,1.2781418202890993,1.5824113060774776,1.866356397461545,1.750784451596783,1.4247746964469399,1.165605169498248,1.6841967996478453,1.4272010037501535,1.4281791217444069,1.1054423052111386,0.9928053670496225,0.9614619563958307,1.0212094277382489,0.9454605996206742,0.898128744546834,0.8366186995410402,0.9410876378169571,0.7673587647211779,0.8525074654592515,0.7544686945732055,0.8052737301241581,0.7963194250223552,0.9125407604640402,0.788493038765694,0.7904302145223253,0.887300278515148,0.8435596525422936,0.8178007137851072,1.0472095799718157,1.3309520493903053,1.1567415164727388,1.41842157883112,1.4890751323763376,2.301184329918553],[1.3821057697059702,0.9936313275413992,0.9827831331103007,0.7753781591973057,0.8882934030410549,0.8678678106051637,0.8048212862130986,0.8575537041358777,0.7910583520601271,0.7380817726590045,0.7265181674271697,0.8319597606796153,0.7779396799920758,0.7203679869330358,0.767931612816547,0.8054286347358013,0.8268108484666353,0.8440695331078717,0.8852837893893084,0.9224102562613515,1.0089092466124712,1.1051736878862775,1.2414829560085328,1.3608736625159517,1.1764915933569104,1.0308654396858425,0.9846387852494185,0.8929663990771236,0.8923896452829209,0.8762002468869243,0.8421165298434529,0.8569745487586995,0.8808105231131823,0.9027693338824139,0.9123638923464331,0.9246739551032511,0.9578191685914778,0.9748110814877099,0.9873050834959648,1.0915739759104872,1.143958542291749,1.139182938199525,1.1558038547100398,1.1820936390315544,1.538915292187324,1.8131257152166103,2.0405095580271,1.4804178088817532,1.6879737049428578,2.4820867499297643,2.037779323615275,2.1884390977325,2.03132732798868,2.047285761443428,2.048691649218549,1.4716349462997849,1.4380958311717835,1.4696307951374212,1.4479517620352917,1.8392230528660076,1.268019656493691,1.1245745574728412,1.0079615871280148,1.1039127699570872,1.105328404960369,1.0054730090560202,1.0141336562890941,0.8978782720098492,0.9509485326153191,0.9574897951394832,1.0288306075021754,1.2245057991257753,0.9723007178450466,1.035099356990993,0.9148342082312595,1.0212210312294208,1.0018701131367937,0.9567987005024478,1.038085998950767,1.0843195484481647,1.0404977180532002,1.1238978063680436,1.2017648198192883,1.309461509199116,1.1391655422184768,1.0250072066020124,0.9983618367752628,1.0146051857691507,0.986048383598074,0.9947731791199782,0.882981784997361,0.9316412701052346,0.9120358174711511,0.8123307370641112,0.795488298180981,0.7854221316451562,0.816531280936662,0.8377402449573093,0.8541560422036157,0.90968402495425,0.8929934309782189,0.9830432196693081,0.9901049454305508,1.0537146920809097,1.2521266372403672,1.0401446656363464,1.1999577929100407,1.1849517542736552,1.0788619271455875,1.0473865840545529,0.9625684296941551,0.932127161631883,0.8661657088264137,0.8488905749955158,0.8242769360499345,0.8287977697461306,0.8908024364859541,0.8872501529647626,0.9782098963321363,0.8375231713659612,0.8140892591762838,0.8179078407272186,0.812435514485384,0.7980387460713966,0.762116803718014,0.8028457319295355,0.8940176676374806,0.94571571392668,1.00794431682165,1.0467315546604339,1.1162800403731794,1.1907635786698676,1.1582690410936214,1.1372911507887151,1.104720093553099,1.004230477705121,1.0017493298042328,0.9389963671708379,0.8567668919794654,0.904231556526786,0.8947747767690378,1.0704272889776423,0.9110385360997701,0.885606517803376,1.000535985603199,0.9192928727615688,0.9181856670800121,0.9088775422447903,0.9202873845663354,0.8558361831561642,0.9563403139769656,0.8830576215120299,1.1126219345436055,1.426434164984514,1.0332292422351588,0.9160584524218172,0.8775424376879455,0.9209803502414435,0.9246596938810219,0.989718079011056,0.9473326223209407,0.9466849868499674,0.9663631120233195,1.053483887356868,1.1106085394329344,1.184932871417803,1.2252475117303125,1.4776318917605342,1.3641864473282705,1.1917530849798303,1.096630555313862,1.01406699649217,1.0347526683549269,1.024781835566903,1.0092525310147444,1.0133000909493688,0.9819464118192707,1.0778756384430928,1.0698765811567443,1.1540384957771894,1.1303802582460105,1.0337043405559478,1.1154121567035191,1.2187780162672783,1.1935780042407194,1.2592962162274737,1.2516203665977672,1.4770261067163635,1.9635288736839898,1.5835744278174955,1.5160259913758565,1.414572307093547,1.3848429755814313,1.396130539795795,1.5506013648972548,1.7246354492386662,1.3538498932782101,1.2962080522491766,1.2115975562070633,1.1282294414028597,1.268398483181925,1.1459380798862748,1.029388412334191,1.1036315244668342,1.1666307538496241,1.0174209253699593,0.9572882842476984,1.074017469750249,1.0623886184862363,0.9760512271871574,0.9996582946672132,1.049576307606174,1.0085835440141178,1.1186611605330992,1.124494309163101,1.1163481421400334,1.1846378849889558,1.1430742657925577,1.1451523726108737,1.207078939767904,1.4821152472287864,2.131889646002099,1.6184005865421,1.5721725374909516,1.5971517589050348,1.6771968851402776,1.674570815837696,1.830592956051526,2.0505358607522384,1.6585151436843073,1.6324203673063213,1.9421761692086879,1.7803020976696289,1.6207403790507795,1.982453953835655,1.939451026019586,1.7509245888236362,1.632642034918756,1.386009806465185,1.3621898904321417,1.512973579751177,1.4202427412923915,1.417357175458687,1.476133488005028,1.3927255150714797,1.4212703648478775,1.3635470131230065,1.262479428931081,1.1794731168039339,1.1423208403716865,1.1183669806470309,1.0588178657811205,1.0487814871105647,1.1180722173738122,1.0950552324580705,1.1717412532639808,1.1121156449082965,1.1852792552175366,1.1977592990900783,1.2716926409726346,1.3234120356166457,1.4287691080215053,1.3819002603317372,1.2546122339380468,1.4044655352123916,1.4713760799764417,1.3604993741654023,1.3435410761930309,1.7062997164289255,1.6866205350719043,1.31620017433457,1.6394531624423458,1.965538579572724,1.7882740520376446,1.3934069357639287,1.1379405390960025,1.704800199817899,1.331247409769111,1.3218859762107045,1.0663545650559347,0.9762085739914782,0.9574882910979662,1.0373410880138456,0.9691594696897023,0.918014775422794,0.9239600350450878,1.003764127534039,0.9241206520361054,1.03128910952557,0.9634763234708223,0.9668178850330403,0.9750304492347072,1.0888140564756446,0.9987129915898374,0.9609088778580643,1.0577876302264877,1.0315601668943277,1.0051013377220943,1.2504213835531086,1.5181008417673312,1.3450524725436017,1.5854672865382933,1.6428653084681946,2.652517618458113],[1.3437928232907042,0.9425757868483067,0.9091813075901927,0.7312998287048247,0.8395827263130612,0.8366155277223808,0.7731351968422557,0.8167954727901854,0.7524452589993594,0.6948406460851988,0.6932246313009987,0.7872164425284016,0.7310334465592025,0.6870736815234396,0.7250784698498935,0.7616974686202026,0.7773278462454538,0.784741288831055,0.8041475286284198,0.8436563180416141,0.9082742257071861,1.015303276502425,1.1266754995838058,1.2323724839680852,1.0667024742341062,0.9276760077407906,0.908843952911831,0.8338227697176654,0.8353247583225284,0.8106780279716633,0.7821447133957786,0.8129217330453041,0.8436323209191231,0.8427765185414917,0.8588297615269238,0.8474925872733023,0.8974322504555488,0.9129801173761801,0.9050954355433763,0.9881926062810354,1.072135939838188,1.0436896415508055,1.0325497592007227,1.092511770868876,1.5247777456036176,1.8718875748741064,2.048049295176363,1.4279075008385358,1.6557601665436719,2.4768861441519174,1.8702170071847004,2.0413757073051073,1.8395204080187262,1.8652528162278883,1.9416495834649614,1.304254999391416,1.3257313343865549,1.359036732080329,1.3547276719621038,1.7683205141150822,1.1630776790361694,1.0279042175219644,0.9183241219421978,1.0109484545323615,1.0218777292444547,0.9054978355837673,0.9165252195803999,0.8207242154233761,0.8626479941358989,0.8926857079682218,0.9787789023407241,1.191049823910276,0.9100054131176203,0.9723144708704486,0.8536619006376341,0.9641543346065813,0.9174203896496299,0.8777902306820177,0.9584660009487392,1.0108091737959404,0.9691705188652256,1.0564201270009654,1.1207782007171632,1.2184787507498986,1.055929684660989,0.9429001106197059,0.9194760142831614,0.9487677882883858,0.9067587129090267,0.9504880884224328,0.8115445778924835,0.8666591775145098,0.8539944520198436,0.7739297716150336,0.767123133692494,0.7528019911226167,0.7834982153481087,0.7892970295910676,0.8096904162751785,0.8858143249594586,0.8509315916689958,0.9414576671315367,0.9262575196449034,0.9829518528427315,1.1559675257859066,0.9592875046973467,1.1191483829398663,1.080159814792147,0.9910586924435838,0.9774303169339528,0.8905989984711737,0.8670553195160692,0.8172653269036368,0.8151829730212173,0.7892712973412296,0.8046815180537614,0.8674447382251746,0.8288213338087281,0.9085786602465722,0.7921676777150245,0.7649254366208674,0.7897762517866372,0.7798984140866791,0.7648138157306071,0.7216192361926494,0.7722334224643442,0.8464977007904099,0.8886590533474837,0.9427956642861456,0.9668912589580604,1.0443659120764803,1.0952558308030762,1.0532097040382578,1.0337585651942942,1.012520401026981,0.9420485437010804,0.9435288302829674,0.8954191108939275,0.8067026892436849,0.8369701548840157,0.8104818942887244,1.0051554766046658,0.8486388689762663,0.8219389445478605,0.9452029293952559,0.8509764034292487,0.8573122919683064,0.8568331853971325,0.8602864894847628,0.7992058558498525,0.9173660336437347,0.8323778371735793,1.0818816058013012,1.39455894600451,0.9947870084599298,0.8740274332736736,0.8271337953359211,0.8667144951729244,0.8714892624632541,0.9285193883505901,0.8787507086651637,0.8671885516049501,0.8879403126194021,0.9528438280732032,1.011706132838555,1.1205380184579234,1.1163597143662092,1.3686226570489044,1.2804261139507587,1.1194312599841116,1.0103680590711155,0.9410297694063015,0.9538567590704113,0.9480597693602635,0.9280536625268822,0.9277131619394606,0.9007602524469821,0.9909817441300087,0.9794826751351023,1.0518150868602474,1.0395542253614818,0.9462548172250822,1.0055765966894894,1.0841996611471807,1.082848949467729,1.1648418265507055,1.1589087666277642,1.3833498783979505,1.9325985477816476,1.537568859356125,1.3865868886356958,1.3313777603504227,1.2682174686531646,1.2891858075209197,1.4469187807170527,1.6536212315185834,1.229571309198829,1.1874692056104441,1.1063152055176906,1.0288360021668115,1.134715892149146,1.0235908447835718,0.9292823857332927,0.9886088633845351,1.0294758574345677,0.9132612957548178,0.8650886185546475,0.9583602598794454,0.9479348499872895,0.8990547478265042,0.9171578040770709,0.9506961050564744,0.9371311373872933,1.0769970711362833,1.0684169704766528,1.0539920507652194,1.1015639213004038,1.0595311492005988,1.0118937681522115,1.0633419997590363,1.3291700097940415,1.878032789141279,1.461449304862859,1.421959396796881,1.4016907441181932,1.4634909805099914,1.4759651545482155,1.6158118889277573,1.8222155176103283,1.476505623040135,1.44031248482747,1.727835216909851,1.5813474255125335,1.4508919171189845,1.809152223301814,1.796436374715966,1.604525219481428,1.5300637000057076,1.2515846922240776,1.215040527274789,1.3481607562695537,1.2557168132645133,1.263010655996441,1.3023719649905303,1.264972879234632,1.3068910615081737,1.2134662849777427,1.1155656181867175,1.0537061704762722,1.0051866355538603,0.9843475940377086,0.9402070191822604,0.9347481488164696,0.9978638727266828,0.9784879453025824,1.0627742405658083,1.0017878636054909,1.0570773440618257,1.0597427771936834,1.1105097602379412,1.165069106411454,1.2549165959769106,1.1983357004121387,1.105919964261356,1.2356189236787827,1.2882984694377686,1.1871143320797608,1.1909879721175534,1.5062305810399998,1.4865484338287616,1.1700537275183305,1.5049167016610874,1.7942964299948923,1.6440619035470365,1.272635463146009,1.0524043385602406,1.715420654052955,1.4263522786923797,1.3273242875953526,1.0292781169747895,0.899594468308331,0.9109768488976674,1.0065398317706704,0.9178379679639739,0.8337896722741532,0.8342614608350285,0.9026692935845505,0.8464850064012758,0.9509613751862998,0.901520360523513,0.8850287983533958,0.8970257723331226,1.0069752908071121,0.9149163810637728,0.890815100209593,0.9695742009234165,0.952278460531126,0.9557359859660488,1.1934113523805499,1.4421164847598804,1.2846567498884,1.5521407408049581,1.6579252661113526,2.7025516880311677],[1.2607550228833042,0.9139577584838134,0.8322131757864579,0.6943092609745447,0.7619540714517777,0.791123390824206,0.7281319532993015,0.7655860922895423,0.7319554190835514,0.6706643459844208,0.6774554330643998,0.7460727679268562,0.6961726788614315,0.6643137390947597,0.7144953408320504,0.7458281683390142,0.7645087965338205,0.7744245605102827,0.8003773429453963,0.8373672711939844,0.9036024914033809,1.015599202656783,1.1113709122480084,1.215469919360363,1.059975104903484,0.9265101472301368,0.9056047928006861,0.8069206362870457,0.8104108273208073,0.7805195378707269,0.7657270952519626,0.7865672739401491,0.8246424967684719,0.8234522166014894,0.8435196614141435,0.8360628388836042,0.8610940143612973,0.8914417019596476,0.8764383563415217,0.9417421979941754,1.0527694542734456,1.0247144657866647,0.9982431260553499,1.0791655268356894,1.5384504789152313,1.9458814691220379,2.0739900957035067,1.4377829808187732,1.7211868871727116,2.523963758270045,1.813447312840524,2.016266394853758,1.790089557050976,1.818727290579375,1.92476860236066,1.2816548008603723,1.3188583647722347,1.3264158548704628,1.3348375626444073,1.731189644735861,1.1327202300623922,1.0103187685134452,0.8971446124648724,0.9979861286170321,1.013208294351627,0.8942397862991491,0.9017325446646212,0.8120495416511118,0.8580043850498865,0.8621841257488477,0.9507443764147708,1.1400413877586346,0.889821343492238,0.9503916865017626,0.837372879241341,0.9547470421627301,0.9041529693270706,0.8640293052238985,0.9350985378559734,0.9871400333482976,0.92143607706709,1.0049877658145554,1.0780629954452852,1.146679914692601,1.0006156563690713,0.8919123200687363,0.8832893875488266,0.9206364326583818,0.8878730752937648,0.9158837255428749,0.8057953260820399,0.8562344570482066,0.8293955434045184,0.7599094633728388,0.7471863467412811,0.731283192768213,0.7793954167352907,0.7471097237323292,0.7585489634709444,0.8105215448845431,0.7866443949958445,0.8486538387458644,0.8596649146686421,0.8973152221858277,1.111483474197591,0.8608816672928435,0.9995385655873613,0.95548987579352,0.8670368643975582,0.8677837978846004,0.7841444092301741,0.7919637957798104,0.7460573703647694,0.7583472267100535,0.7426350142964578,0.7533963665801793,0.8213525620737585,0.8172490934959216,0.8886599999333507,0.78683105094888,0.7635059480115887,0.7655654699938339,0.7646267454090901,0.7104119322801378,0.6800545595338932,0.7191931414214994,0.7774020741731772,0.8101796372057491,0.8377785968890427,0.8774104256294203,0.9408638783612756,0.979329782736724,0.9701660820833852,0.9414521989485688,0.9444249886381568,0.8892884130616195,0.8817950996038842,0.850433197895887,0.779868717577628,0.8056508683323133,0.8061859115120187,1.0028023199551053,0.8264962258112345,0.7998698112294106,0.9341079383348995,0.8069738198735578,0.8076984574785246,0.8045932614361291,0.8024673553178934,0.7391192150877591,0.8266156271012587,0.7621942004110273,0.9843859109036734,1.3590663073971725,0.9292307039848478,0.7938069674898649,0.7577455733536715,0.7814259639277511,0.8135613047473329,0.8502848300102035,0.8169032335171014,0.8207649539134342,0.8443442076811275,0.9039768117197042,0.9760098319764504,1.096560865438753,1.0929098658531051,1.3732465208518114,1.2964012005214738,1.117627211247198,0.9745624656693131,0.8990556732451046,0.9048003416424104,0.8899565247150892,0.8676921170283979,0.8590698655282909,0.8483544040658813,0.9171117305260749,0.9227934349347889,0.9686598987713245,0.9777933096223332,0.8653442980520705,0.9219368325220773,1.0218107919982333,1.0281055665875434,1.1157117285666032,1.1240757154275338,1.3475455713962423,1.8905811578477871,1.5097788408084476,1.314506878583448,1.3227643334891435,1.2173101078651924,1.223114415697147,1.3662236159956027,1.5791539254607894,1.1456480354272796,1.0624817553218604,0.9663988614950517,0.8918508407488428,0.9704983496617189,0.867447196501543,0.7985843732741038,0.8437952901997594,0.8682002036008825,0.783174379623755,0.7626119161148024,0.8314030133321655,0.8114965219808493,0.8147167571884417,0.8499280389455396,0.856734374884633,0.8665822561375599,1.053549150299216,1.021552192810171,1.0236487673286971,1.0023114809123497,0.997597036886265,0.8768888892988207,0.9064352696254073,1.1552873849349603,1.5675835825435533,1.3161669647788008,1.2610617228663237,1.169220764556115,1.1978394737013833,1.236574695729312,1.3483881958042052,1.5365257613362449,1.2580034244657634,1.1982185513320254,1.4481441983345065,1.324519668220047,1.229479123735103,1.5964497774097044,1.5534749851779779,1.3930406777471056,1.3924351390638008,1.0810824545409135,1.0593658082879636,1.1528447114332288,1.061096307035454,1.0857283600056202,1.1226279484250803,1.12425902517397,1.167010709291372,1.0585819124412386,0.9608078592001608,0.9437863350326992,0.8648813871648077,0.8453740740321877,0.828565568472851,0.8172983031061125,0.8415707492045464,0.8342292797124553,0.9608589625458307,0.8542608987598613,0.8857217722515077,0.8754612214694257,0.9338919214564171,0.9892885840133935,1.0391553856993287,1.0001172333169894,0.9246034921060178,1.0256673235257636,1.071043254444081,0.9976839967479331,0.9965584318317113,1.268413503098539,1.3044598358320352,0.9916452577047515,1.2730080557349561,1.6001811778730708,1.5679618584719883,1.1412308690390855,0.99627637739619,1.795101258163355,1.6542377815982294,1.3469342337821433,1.058799328514936,0.8683656896881976,0.9172333697520829,1.062152713512302,0.9357944280026628,0.8007624341913253,0.7026817255143621,0.7742267006406913,0.7340871310818221,0.8319705658309242,0.788038599573158,0.7495684807279109,0.7768183794248654,0.8609588074220585,0.8260686155806127,0.775720095471821,0.8294607624678284,0.8311818942893152,0.8695782055194696,1.0943338377641636,1.3088064881576034,1.164249321826241,1.5320439283471792,1.6809809720980535,2.878439165026705],[1.844711396710278,1.4442328160674491,1.3136135624682639,1.1543708272040527,1.1177931042454063,1.1703250960317622,1.034954422558764,1.0807524178869257,1.0388451058729973,0.9083227131509135,0.9219149820632745,1.0246963717525734,0.8903225976664902,0.8491994325174651,0.896517116647124,0.9180403802653687,0.8889581970358205,0.8790693047781591,0.881042262910272,0.9302695023541201,0.984877747889149,1.0933187661202977,1.188133498529804,1.3092874116288304,1.1459803664493409,1.0032937938885533,0.9923418028821225,0.885934745266507,0.9165416899005433,0.9252918262254433,0.9236274851615868,0.962971500814348,1.0211187304071887,0.9810042998773583,0.9956849965092961,0.9623990461619292,0.997863392446755,0.9806635998016592,0.9712771726392414,1.050383232615854,1.1255479213666904,1.1096255416426661,1.0804361835041505,1.1966964342466777,1.7317473733101147,2.197791662441042,2.3681022688351048,1.63243119502546,1.792885769000566,2.7000101435085835,2.0038616383286247,2.0464807633313202,1.8744667760236102,1.8585405839323446,2.0469244163886398,1.4238061200177636,1.4244749457384118,1.3918226265654736,1.4218767008811488,1.8039131790152092,1.222874884169464,1.1239263947749683,0.9790282128002227,1.0720368560669393,1.1041624272449042,0.9817787275220309,0.9883876640323827,0.9000204080980468,0.9274675712062057,0.940108175906898,0.9875955094968514,1.1652339445942566,0.9621940854427632,0.9905944079147629,0.9255388604792728,1.0455850485856013,0.996608885347523,0.9783550185085017,1.0435151316161158,1.0847013804046568,1.0477580185761,1.1205247022935736,1.216624394416738,1.3036874362278692,1.1303364870422814,1.0098800812269297,0.9858018145050836,1.0422409545996787,1.002435374857267,1.0343381003597274,0.9334341262272832,0.975258923037681,0.9428935968788832,0.9347157793596292,0.9265617208475929,0.9202545478086379,0.9861107531311243,0.943512194087969,0.9895543482551276,1.1212353870183824,1.0238967908866512,1.1161980089710792,1.0774468320498019,1.147183671195209,1.3251637386551287,1.1251643825214657,1.2880335171487607,1.2389570697785015,1.19805762710185,1.1703154904927842,1.1052574968652127,1.0276341669424192,0.9776172709216584,0.9222443349372251,0.8879332002344288,0.8510597450589114,0.9009720389332435,0.8700016719350417,0.9329648869852226,0.8737547108611653,0.8399349050054634,0.8807384255945195,0.8683822170057153,0.8206309875661738,0.872180788784096,0.8843312035618918,1.0507050534098594,1.0296521726412529,1.0624623343574262,1.1112977482499395,1.167183520445696,1.2437834659975957,1.1809734093757152,1.1733869536930581,1.1080885598121009,1.033105625249392,1.022970641074485,0.9438155532554163,0.8516745831524931,0.876928733357771,0.8710722917313191,1.0896296853064207,0.8948822600161765,0.8628399501768302,1.0158258006652998,0.8844151302706238,0.8863680018904592,0.9415831327504511,0.9946367039267291,0.9774572388792623,1.1321793176371842,1.104069292921371,1.3147797609788123,1.6322985032809252,1.2381413101879504,1.1089724379583525,1.0333487914285258,1.0664138887779437,1.026454392376855,1.0739856084098856,0.9665909968100672,0.9519891944576734,0.9471127843781176,1.0122370671364427,1.0955704359480776,1.1920209890873428,1.198903249645936,1.4864562955194145,1.358112279299681,1.168353186372614,1.069726144722744,0.9994349097545931,1.0339106984104915,1.042839283065755,1.0356218330012625,1.042847788493031,1.0077925589123313,1.0912261522828413,1.0770575348578888,1.1578664887740633,1.1583589356118384,1.0580635240938328,1.0987165113663024,1.1817616543074927,1.1739082132375536,1.2528081947532064,1.2134313864257376,1.4662707100440557,2.009237131599189,1.6333722136475726,1.485765898539196,1.3585275862720645,1.3211546111397412,1.3494018122316915,1.4931866492132604,1.6666445550390647,1.3678779847625449,1.3317199341854904,1.2998628118051578,1.2549601161783803,1.4272747815457312,1.35788743935898,1.2482865335288478,1.3554080923389553,1.437082001051281,1.3470900512005106,1.3185803270525989,1.459183628170128,1.4470803661228693,1.3946526272419026,1.4708263393992704,1.5074978592681034,1.4618595450369407,1.5902783733936332,1.640003861219325,1.6440044228654176,1.6409084002197396,1.64732969816701,1.558102871873049,1.585233503645123,1.7599489153683756,2.221091030396454,1.799144725019901,1.7255634690928323,1.7023727112851963,1.7653089823892838,1.780343605080104,1.8470544110723364,2.0304157783135994,1.7658226768806782,1.700580814349429,1.9335371520886377,1.8122576509037187,1.696158146051325,2.0102356519763127,1.9264763228010373,1.796679922384026,1.6714836395882164,1.4940467344713715,1.4447642908291274,1.5905354228525168,1.562425802855483,1.5373844768791995,1.610835902507069,1.5477061477061076,1.606398623474659,1.5821714852351818,1.4939862334999612,1.4378497055578576,1.4519549043228523,1.4654539289411685,1.4301225600387746,1.4256777296588536,1.4687108145386465,1.4767584091656927,1.5432616885221269,1.4904304104189159,1.5138039115586837,1.507003683349897,1.565380599653373,1.594757662776014,1.6238447832233793,1.6271351046806628,1.5541750025861534,1.5987278588931382,1.6625081497180227,1.6076620307153808,1.551085772190408,1.7792787379795096,1.7625687899208815,1.5403712903261508,1.733532279471999,1.9958623390641954,1.9044679921739927,1.5971538555347167,1.5549430731752656,2.147674493106513,1.994625530567071,1.9093610196536868,1.6160634166880126,1.47578091454222,1.4484935881867282,1.537644804610461,1.447205436830777,1.4164297584986605,1.3185371697601096,1.2920333476247094,1.1776105660071687,1.1836001708850241,1.0888296492135014,1.228770159186866,1.2159663638775053,1.3791205122989512,1.3170595387116508,1.1978490486338649,1.3687104840116033,1.3292997124655548,1.2352796282669298,1.5340955646933383,1.8066560515824088,1.6090206562781912,1.8677301715680659,1.9886521263888728,3.0881942451123323],[1.8011750179295951,1.531569353311965,1.460497426661414,1.3522240911125867,1.2572393775355768,1.2983554166030309,1.233276057850666,1.2333667255090404,1.2437807306240451,1.1484467624362533,1.1553855745898072,1.1930043031268573,1.1069744876965337,1.1031831995128187,1.1173566828981634,1.1090390662521352,1.0820500077845576,1.0872178761762523,1.0951079043697127,1.1034175769556578,1.1548008543525743,1.2395346733277341,1.3024013327792945,1.4155745991334125,1.2607460742159036,1.1669755627835647,1.1535827187823922,1.0691079148843812,1.0990098685676237,1.089620670895362,1.1035972709792639,1.1198993730317024,1.1740014021201328,1.135122053721493,1.1437657001974895,1.1288038366479756,1.11999395558656,1.128412999891587,1.112427181850133,1.1482586702482165,1.248635483007058,1.2455901310124466,1.2081079065651346,1.3226564355032033,1.8788497856676178,2.402236218121081,2.5258884758127356,1.7557481028850883,1.9285946227240138,2.8268007411321614,2.0201743191719985,2.054794498920936,1.8754529175137862,1.8632597184992512,2.1322998244112,1.487731596347895,1.5289366349596283,1.4962018301319526,1.5323438774464977,1.873156945608546,1.3131027720829636,1.2251991250092735,1.127324211793195,1.1848542406650269,1.244153539622664,1.1297298369559265,1.1543690100769857,1.094613064274935,1.1402067305907386,1.1291917272155891,1.1880333088179813,1.3469871937317337,1.157765023595185,1.1795654141358023,1.1336760347450892,1.2088583680139782,1.161115794540519,1.13445617821987,1.175483243757459,1.2240368973531395,1.1719427556860464,1.2337398764098153,1.3092902378871303,1.3569419391935371,1.1992456494652404,1.1275559804135165,1.1267311196453942,1.1667287631318202,1.1531040249136104,1.1806082029697071,1.1204424068813745,1.1586259165390616,1.1288249523011034,1.13110959749274,1.1240454256197785,1.1308178021140762,1.1694135544940791,1.119492193827867,1.1446626175763186,1.195541486114123,1.151003891859754,1.1779219073570877,1.1714482560171025,1.176681265855379,1.3578972548612005,1.152936904178903,1.2242208655284244,1.206366135883202,1.1706554355703014,1.1570966442720918,1.1483102630830109,1.1087331203311597,1.1285110972294077,1.082783289509525,1.075047862580782,1.0429640974846848,1.0704568561596617,1.0747786430053137,1.115287835004275,1.0555979458096356,1.0737418760278508,1.0869200895632536,1.0894500206056805,1.067579489355323,1.113683762834387,1.0752226152412887,1.1804697403533981,1.10885760944844,1.0911609166841028,1.1277174638023224,1.157580527678031,1.2111369872093405,1.19873773089573,1.1871560795367304,1.1546233764473361,1.117133069192729,1.1047870455830822,1.0750965253282807,1.024625361776789,1.0380751140735918,1.0435893583214668,1.2437605382041097,1.0555588895622239,1.0298276236937602,1.1490617011099304,1.056533206868346,1.0578195085662376,1.1164022690226658,1.1337972342046996,1.131786164125492,1.153287286150157,1.2094170009084764,1.333818804240867,1.6277820638363756,1.2785758512604417,1.181833603769268,1.151768097967188,1.1398711847814142,1.1492914608720284,1.1323855023758473,1.0785069733240427,1.0847780139432603,1.0776209226479694,1.117888353946576,1.2107885504734646,1.2888638341290566,1.2981453798541367,1.5725825337708548,1.4710508522460706,1.267712327061984,1.158653949549844,1.1055190740447267,1.123341153872418,1.1166225785451285,1.106911160519595,1.104015121005996,1.1052446251450951,1.1649338816984625,1.1488080985034077,1.2049261942430232,1.1993292383693641,1.088498399817521,1.1386295818871086,1.2374734946767336,1.244290742893792,1.3202821161774574,1.2923806240362257,1.5466623091964462,2.0367969696137616,1.666645178359682,1.517113375261919,1.4068568633621044,1.396555003700941,1.4216393288322924,1.5405162371643502,1.6863461874356171,1.3986997553303355,1.2948145381868403,1.212293657398553,1.19080287592979,1.2991894878103971,1.2465676267678538,1.1827766151031962,1.2700590109657346,1.3214912758169282,1.2821735864994421,1.3224816225811222,1.3784194509922558,1.333881212620716,1.368655669140227,1.453456167478628,1.450905951685038,1.4257993297907179,1.5521963755085442,1.6113593050198185,1.6326701324379462,1.4956583161334553,1.5534399478348637,1.4291505840625274,1.3884003579828672,1.475384888518185,1.8570764543628564,1.5576231576644706,1.4796925538358427,1.4248241414120093,1.4549998813963674,1.5076770572158058,1.583976891913021,1.7294043148702072,1.5050337506980176,1.4577942534482549,1.6587575064549782,1.522937023678931,1.4684324976633345,1.8142836143315655,1.6952975087374655,1.5665848296655185,1.5651722621849518,1.3434771466672217,1.3288785705349018,1.4151334973787297,1.3784763305865249,1.3611516478869654,1.4442075642725054,1.4180117112685846,1.4830287926034544,1.411293602730234,1.341446242662085,1.3389898992618965,1.3420891719630461,1.3464798719428444,1.3691875701333578,1.3590121331413123,1.3378079877215359,1.3545696552754833,1.4913735191029356,1.3709834113033321,1.3524528387384864,1.3339203805687359,1.3541511732105997,1.38161706119842,1.3898198638779313,1.3962218598687575,1.3667071517752978,1.3635055694234512,1.3935630637827245,1.3953777315200988,1.3522872954711722,1.4728745457082442,1.499427605424586,1.3871732431015962,1.4314752691841723,1.7713740233992346,1.8137859847630697,1.4960208774087862,1.5948320626085328,2.1326377951109103,2.04851460419978,1.8647788316969718,1.6590333907592179,1.4802253616678775,1.5002797956196663,1.6586129532201002,1.5872864953188843,1.565484626904462,1.4220142964854094,1.2905832886926116,1.2349929483547692,1.1505054534209969,1.1237529304141542,1.2581827378468766,1.2104500681753925,1.300500606919007,1.3361947170582618,1.271510111439421,1.3869179305593633,1.35620674498115,1.3556844327518756,1.5223707220856795,1.6772711824322857,1.5927548060883017,1.8486912714446642,2.0090626906838334,3.282994563401519],[1.3714268401040401,1.014074896538023,0.9545385895703672,0.7359213905795289,0.7973601623199776,0.8172624800345922,0.8161320948588893,0.8583610862392544,0.8277755183582184,0.8109092600576682,0.8215574945274567,0.8518908649173197,0.8812475088498175,0.8419925089852406,0.9187304452951688,0.9327748635856542,0.9440348448312063,0.9993277531445284,1.1036769646762248,1.1207234717275716,1.2185805199119766,1.3545625971258297,1.4312043181966807,1.5430841420040378,1.3867807419208729,1.2609267681211065,1.2006824670084673,1.051974936253527,1.0291564139936753,0.9787007332426734,0.9721193099531144,0.9808793299964609,1.0143670510382945,1.0471399784330722,1.0600344603124832,1.0760736363033394,1.0384756327549935,1.1485366019535037,1.136914222119593,1.1891448977694081,1.3252971160344929,1.3544580087130804,1.292413714049962,1.2929698672992784,1.829916961872393,2.2520284795882564,2.398676681150878,1.721051508488238,1.844607775410309,2.7274340904844947,2.112423787240792,2.158955265909322,1.9498887974473207,1.9996362994933958,2.1631876837037662,1.5222295899794323,1.4721340435566908,1.6037005603091745,1.5431095655812794,1.8077826656636773,1.3145278571215568,1.2258133458992584,1.1542421652158987,1.318110082697195,1.3309034269569087,1.164708340604245,1.220938611286653,1.1100087904173066,1.1251824828536294,1.0831739189064127,1.164117806737778,1.3596575483492408,1.1085166042242383,1.2122402414305784,1.1264374588517037,1.1662257275029868,1.1781846431231884,1.1280494455649535,1.1869060784125898,1.2149388406413457,1.1259036605376918,1.1990812181026602,1.2660335480026161,1.307819505413375,1.1889291792451093,1.0937085662520305,1.1249298352604966,1.1341498724975594,1.1417691407123567,1.1248316310383033,1.0564806987456863,1.0813609584890318,1.00169267914168,0.9870583008012375,0.953593423242492,0.9207261916628086,0.9254045137788535,0.9392990031187541,0.9207769594892109,0.9067319313028923,0.9554807531246237,0.9815103896821848,1.0186885073778595,1.0267830574766073,1.3356355523647239,0.9890806077383648,1.1199589985658986,1.1269479828393116,1.0077505282622865,0.9840097525453667,0.8947365562460482,0.9134568439096511,0.8588261131914241,0.8848507861031434,0.8959625806453907,0.9192552109321505,0.9944597914741776,1.0556970905426946,1.1510081281336086,1.0105544143654754,0.9698117335945255,0.9416511323481259,0.9336759950630442,0.8473021428290314,0.8002038315586135,0.8356776907313923,0.8621472082954118,0.8947352632089234,0.9067149334747546,1.020542812380766,1.0568484657586814,1.1365383830410951,1.1680725228748585,1.1496160666861404,1.1220123535940407,1.028546714499671,0.9868330328833762,0.9879416125026921,0.9507686766363903,1.0053129363444404,1.0812376686216174,1.323127050985302,1.1079256804406767,1.0478157084282416,1.1978898746316464,1.0366459899722569,1.0040101943691482,0.9852463329752125,0.9809655533964732,0.8832489100561571,0.9045189765579681,0.8692675295458474,1.062975002879008,1.4201120856357492,0.9413175699968335,0.9090984011290939,0.8855871428723893,0.9151878481118616,0.9489791900414617,0.970818448147052,0.9893451671370315,1.0358061857717966,1.0557951813864324,1.1178597823342573,1.2349653422005324,1.2939569850053692,1.290693187134261,1.5628571175244812,1.4091621633334555,1.2417034466322379,1.1423682793680108,1.0870671595827968,1.111079329469699,1.0899189121342452,1.0792015874793677,1.043843043094132,1.0011337498063786,1.0973389589437705,1.131712178904784,1.189819607318111,1.1989887122341187,1.038091784914939,1.1128852394481168,1.2139516376426678,1.2386572811564338,1.330620792480016,1.3034873891340395,1.5763959966905778,2.014474783495168,1.7384076644774613,1.6348235615438451,1.5015016396666117,1.4340553036126371,1.4167194090924726,1.5244839787013538,1.6234560459516176,1.408818637596585,1.2225630630645057,1.0904556083528136,1.026350631183907,1.132769058927002,1.0258822638566412,0.9234849062514189,0.9934880245891083,1.0575767033938945,0.9293798965966377,0.8922034267804765,1.0092560165723952,0.9785627971767974,0.9211815908457363,0.991259200382683,1.0183422570573246,0.9633813711852873,1.0813754150292318,1.1395545936042897,1.159192680708144,1.1350543729769098,1.2283413604056914,1.0949335795314898,1.1277241817544688,1.377137589005878,1.7276322378127893,1.5385225228928356,1.414819628614965,1.3832536053415931,1.429905301855254,1.4240053331181475,1.584529837270004,1.7011653508803344,1.4404006215333272,1.4070907053971988,1.6830730030760177,1.518775795189857,1.4125091752787802,1.7846841354886012,1.6906783051443508,1.5406916800079078,1.450726103652765,1.235379395952454,1.2621898331660801,1.3539163753115722,1.2579447021447068,1.272961954591066,1.3331102270052702,1.3189183999904215,1.3381679989113566,1.2305420043520967,1.162766978343847,1.1223054593849668,1.068353945649868,1.0559577703797913,1.024718046403127,0.9890001830615367,1.0436069130600425,1.0082862563404522,1.1028445462217493,1.0055050690712524,1.0440542496875183,1.0464628670946527,1.139099279822129,1.1863866979448872,1.2603067981416203,1.2236365437455496,1.1217563021645525,1.2211624269049697,1.2762127389580151,1.2072281796737654,1.1723951487667919,1.4212973895106562,1.4089153166988904,1.1757046517228562,1.3150022638743333,1.7756976177426325,1.7529326671453234,1.3577534406127525,1.2754100198773926,2.055155683957983,1.8231122966482645,1.5879151406255327,1.1489963169556332,1.0224042766785286,1.0118413335816718,1.1242551232778981,1.051254937916374,1.0216852411703405,0.8807960388780341,0.9319586461779974,0.8228921344450063,0.91732599045359,0.8346708913326781,0.8404504350932896,0.8940691529739234,0.9965728586373662,0.9759998003425999,0.889378034475731,0.9378830860787899,0.8997201030137681,0.9573761887044722,1.0512493887577192,1.2267855861217685,1.1573098352473268,1.522904547496062,1.7965333807428343,3.2407815037114838],[1.1609874191358214,0.9057468599119879,0.8911611708479903,0.687104229154809,0.7901277087322118,0.8002091982356135,0.7590583239368802,0.796146209355443,0.7706514702043091,0.7053815592424442,0.7179616941412578,0.7652506078729446,0.7541009150929622,0.7049582404408316,0.7701785634392404,0.7983225398270203,0.8132857583493358,0.8453987452788699,0.9092647185178352,0.9313775192878034,0.9970647936241612,1.0885289903158517,1.1610483799994709,1.2742678254788788,1.1176874169630744,1.0151459433438328,0.9866268673994156,0.8714687146483677,0.8725631282146101,0.8255374252996854,0.8311510784210147,0.8329451710126161,0.8704636125151666,0.8829816588860411,0.8996813281903299,0.9061011796480645,0.8805212734982257,0.934576513487521,0.9131430110754548,0.9309177129442766,1.0687283017185876,1.0779321963714923,1.0151800812216965,1.1051716442738022,1.618441585203818,2.104389210071162,2.197924860797591,1.4992166500139883,1.7496353130640747,2.5641616196117702,1.8152616591409754,1.9589176511901971,1.7940108220409978,1.8360920437415575,2.000423612506806,1.3345008175309094,1.343331722701454,1.3255903380217302,1.3428270248641931,1.754474640583072,1.1702483551082512,1.0779872560226387,0.9499090102702175,1.0608646571637967,1.0960953404565978,0.9608168510094057,0.9953786510762839,0.9042461356174586,0.9561259981008657,0.9213800766188701,1.0111253287485589,1.1940326230017766,0.9431438373651206,1.011366180839871,0.933458515064222,1.0096251447217222,0.9773098485337376,0.9300420012598934,0.983130984212239,1.0184999801531611,0.9269405813232295,0.9885497661054994,1.0698064516241412,1.101409256486706,0.9590345041660939,0.8887423483841568,0.9106839825539035,0.9337678455690263,0.9484121359152115,0.9711592627385677,0.8821562952630841,0.925242097656506,0.8718232410690531,0.8301719995188748,0.807618931837864,0.7878058098275914,0.8210474723580701,0.7960403923410604,0.7922024225049334,0.8376023185851718,0.8112167857545356,0.8443385983368716,0.851293849144252,0.8568550977937133,1.1372255493940326,0.8240780957121516,0.9386191545938795,0.9199733166431472,0.8743840577786142,0.8634185163155481,0.8115057249276769,0.7979061373570545,0.756630302188772,0.7623283969836737,0.7730782555542384,0.8105059344928133,0.8856688691748746,0.8834572716622249,0.9485254746451584,0.864370760980671,0.8385776754928705,0.8363707088072284,0.8375879452422705,0.7363739956717265,0.7096789268180248,0.7331040947782975,0.8015636382843615,0.8163030245873937,0.7931555062723583,0.8303886788283477,0.8695952094833835,0.8965146793558788,0.8812989089056869,0.8656060522228068,0.8647298658987307,0.8298154610478463,0.823200292157032,0.821588083569169,0.8010855545561691,0.8407906420685987,0.9056125187629949,1.111110314154439,0.8891025806297317,0.8404446920445161,0.9815837230677602,0.8321858214091826,0.8260215733273896,0.8305245716129728,0.8324845157466271,0.7591334134222596,0.8320561325673991,0.7895152338659912,0.9745785691533514,1.3558610571682657,0.9102841221146499,0.807080078882494,0.786307984860797,0.7935246591215466,0.8311721058895956,0.8309775098993855,0.8060344448765445,0.831655546276161,0.8521725549351488,0.8895533254496828,0.9658304378177902,1.1016243513074673,1.0287681928451238,1.3288079181560568,1.249882898029849,1.0838500830501323,0.9160805084505345,0.8817661415490994,0.8649460245642056,0.8467954919612608,0.8460656552217153,0.831113464459613,0.8147790199499789,0.8722976825346063,0.8777699028094005,0.9209264706217535,0.934841784225128,0.8010460510359182,0.8149016067127556,0.8961450207917364,0.942828232268505,1.0555832882786234,1.0899076997117005,1.3123799155736358,1.8813468665438617,1.444378489886459,1.2056641326853765,1.2093429577460437,1.1061169032715736,1.1197881714149638,1.2383466016857148,1.4316208124293237,1.1231154842146305,1.0066629127927071,0.9483002668731417,0.8873543540934059,0.9994076503409939,0.9049082074373588,0.8417924682176313,0.9229055086731562,0.9548438914502039,0.8724976605209922,0.8510041216077598,0.9059317157642817,0.8907089214191821,0.8583231404020136,0.896560914132447,0.9127798916971043,0.8780776014790885,0.9907494713762771,0.992836975471406,1.019783331165463,0.9898401693332004,1.0272103513027613,0.9393655789407972,0.9604115667101261,1.1024031731017978,1.4279933202097639,1.3043674056768997,1.3112369277591835,1.186319631267478,1.1721273198384694,1.1831034467439736,1.3005268300596184,1.4297736319871197,1.2356132800105144,1.1479806202025258,1.370012503269624,1.2561420382555357,1.1767061813725948,1.4533363551406824,1.4185977082676082,1.328183533208091,1.2356054601062623,1.0673370861085263,1.0413706395053344,1.1030889994272086,1.0455379404642358,1.0625343598113264,1.1359361954780367,1.139736959009829,1.1555337221733055,1.066115517642833,1.0040519749814134,1.0020309054875027,0.9436256174902432,0.9277653693485052,0.9213391834592612,0.8934852938830622,0.9531945493057582,0.9108845457080422,1.0170968634776494,0.9108472169736337,0.9433118904812055,0.9411508636677774,1.0161833230623378,1.0491469433980665,1.0861903427636095,1.0649278518292504,1.001216096147114,1.077708829069761,1.107137692603723,1.0590176491448726,1.0511222664110305,1.2303009880054225,1.2739939374142732,1.0597181828673907,1.1768768388007984,1.5642658429544123,1.6341192100646154,1.2462834925812187,1.1832676827059574,1.884422365133801,1.7963984945325882,1.3505605604503104,1.0184873187529528,0.9304934278039803,0.9612826242269992,1.019685796947322,0.9706866766069644,0.90069829759472,0.8228150474005616,0.9015980363553101,0.798025981753167,0.8467819153935148,0.7791989162591557,0.802420125230572,0.8450317013478779,0.9355275901485646,0.919941930080408,0.8370346736933204,0.8807658629204826,0.8553584131361688,0.926707501905533,1.0285041393207581,1.1616096283813309,1.1559738733881235,1.5464162270432198,1.8691679120298104,3.3686626140013542],[0.9182556838600102,0.71626392530853,0.7096243139730086,0.5377405093501797,0.6676314524341898,0.6875819817728211,0.6423130708838413,0.6837136501511425,0.6724605226538267,0.6051569650724163,0.6188612416405369,0.6506210436333664,0.6545015146134113,0.619404408710024,0.6895028694247536,0.6885880480135359,0.7135251213543139,0.735703931789594,0.8045864952618264,0.8055041986246326,0.8943523977171616,0.971368676176709,1.092850356427355,1.1945635831146262,1.0178367163677202,0.9083648034407483,0.8593589874560604,0.7641804758418389,0.7492867507923454,0.7031182737152277,0.7218576606934353,0.7109136713601938,0.7278964011712169,0.7617525147025423,0.7700693389856128,0.7762805203332759,0.7466822412237596,0.8108052260185993,0.776052021892016,0.8287223378249984,0.9410369942493573,0.9511566075054624,0.9120774526243222,0.9614430515662308,1.3848427696271335,1.749028613149139,1.8811543416894443,1.2759900115383034,1.6005837032429264,2.32433334678906,1.702873574163929,1.9597240541256615,1.803698764126691,1.9139454645856229,1.9035446657755835,1.2220022848192127,1.2142703295044668,1.2127728665450268,1.2289923277676746,1.700982622913856,1.1206807132958663,0.957883535402997,0.8308156271173665,0.9606072720483912,0.9631847398931157,0.8519598588586907,0.9049230178829892,0.7913807186264903,0.869296655245262,0.8672268332831554,0.9684142191627453,1.17063750214043,0.8997758013640638,0.9326685396995443,0.8472928399674102,0.9339637767193489,0.8603163907555652,0.7984726235988955,0.8400800143467555,0.8690980604896325,0.7896308904077369,0.8586171455452896,0.9488477100578032,0.9582535377784885,0.8484742316533836,0.7529347336636054,0.7691962219185643,0.8200831357893998,0.8105321097307084,0.8328628258269145,0.7619503732212782,0.811986314058448,0.7682904805128226,0.7083525708650601,0.7025355088246138,0.701097856267832,0.7618641083019982,0.680336721580917,0.6576168831058028,0.6901643481359799,0.6740999432648803,0.7263171662638419,0.7166157446093371,0.7162142159592179,0.9979911745785693,0.6791464836639443,0.7854795371492922,0.7807594726288781,0.7172725387939082,0.7319343045448139,0.6636730667927763,0.655756925850005,0.6391509030350649,0.6547379973427374,0.681161111534324,0.7368785085440032,0.8082060718840834,0.795673001866443,0.879089289590699,0.7783463760752529,0.7741932345242052,0.7676908023387962,0.7704139202311948,0.6664626175225666,0.641586759024842,0.6454492390084984,0.6935159460967744,0.6944924159085153,0.6552934338470049,0.683945072405872,0.7297453297876739,0.7637765728124521,0.7611095090323862,0.725895970230576,0.7145552462569562,0.7036040657879602,0.7075645716690673,0.7139377596268238,0.7086545880029247,0.7272698591402409,0.774400225897245,0.9785115926377022,0.787260523725813,0.7373131478322943,0.8418351316395207,0.7235899143983634,0.7238351697232295,0.7096667684716074,0.688565863784243,0.6307794918905623,0.7003452962965707,0.6643556188679463,0.8636270385586887,1.2804364143901785,0.8645163572155776,0.6685854711542997,0.6541468429078469,0.6537965024530537,0.6944052769719754,0.6903211232030996,0.6704942237703823,0.7025463758241952,0.7331077327138941,0.7697208192726783,0.806020631212343,0.9554429778960318,0.8862550486119486,1.1857988105862598,1.0997466064419705,0.945640369192927,0.779769588286011,0.7362141189098227,0.7202411787076606,0.7148242934971943,0.7107890399521738,0.6919454193778138,0.6864621050232167,0.7188424292705419,0.761994458677586,0.7819918349520557,0.7970535433632159,0.6604877088410517,0.6881035477589167,0.7999284856825016,0.8261964917799941,0.9694787778469014,1.026858831541534,1.2411955504587862,1.8636606972712204,1.405410094670205,1.1621233858283229,1.2675025052266624,1.0957024132612185,1.0819437066623083,1.1889041550395332,1.3890444395474775,0.9882778873435494,0.8903232782191194,0.8288711418566781,0.7466089323033418,0.845967590270575,0.7417909012257973,0.6878034882166266,0.7702886123050684,0.7806608068682379,0.7239094754202084,0.7194833149852058,0.749675412615206,0.7323533621381156,0.7662344016197703,0.7849679403691564,0.7760136258973557,0.7987624269503054,0.9553598714247876,0.9074158178539099,0.9234331114748545,0.9044200439750198,0.909444533950019,0.7959427255023462,0.8217552696260845,0.9746271945086215,1.3269435847781372,1.2123718659573275,1.2365379124430251,1.0700446341029022,1.0287829988473938,1.036656303301193,1.1620371144963377,1.32228709117363,1.1091437550052514,1.0008337043871371,1.263153623575667,1.1604341781744805,1.0546191630630373,1.3617046977749552,1.3779903927574675,1.2508213191440334,1.162727956804589,0.936826730786619,0.8921515923378559,0.9499612005782351,0.8732527425925624,0.9255192918090925,0.9767139278120599,1.0037246894651466,0.9900612020453213,0.8858610454847434,0.8131171760276562,0.8403995679673653,0.7503022538021161,0.7347362506480464,0.7469679875218157,0.7319897376812184,0.7810470029374352,0.7494400020292756,0.9102850717627993,0.7755575916627295,0.7993246218298199,0.7924839468386538,0.8495904368193676,0.8703923869109188,0.9206003960337424,0.902179577292363,0.8320565060254286,0.9194832690226526,0.9623760722778953,0.9093191427408598,0.9153386647125115,1.1315154000639676,1.2008432825991142,0.9547403366723315,1.1173701919301022,1.485137849277496,1.5311144150968665,1.1421490496749143,1.0283879437244636,1.7748070800681732,1.707300238580544,1.2131814715094662,0.9464229654844286,0.8254857289196998,0.8824784028059146,0.9773190981295279,0.8760269382722072,0.7561078514121914,0.7270786794020668,0.8036824494021206,0.6658690466356725,0.723745577451752,0.6431632340985179,0.6436071125072351,0.6752821360837885,0.7094613737971341,0.7654835558348475,0.7140485338437402,0.6803767637412611,0.7197382055972,0.8096098435653764,0.8994112513612775,0.9749075271716965,0.9786753103988735,1.4486443408437375,1.7101035935636526,3.1756227402553154],[0.806076710656962,0.6842633934348135,0.6968440652723524,0.5329725997659883,0.6621045609917521,0.6270666668258482,0.5691846445440625,0.6324027666754516,0.5886329578253165,0.5189037445068165,0.5343812048339268,0.5498648410674423,0.5555840994826106,0.5307324377276268,0.6005660090006816,0.5966409205793178,0.6314865944370212,0.6590773032473709,0.7412657135482982,0.7489749209173715,0.8328127336058169,0.9426671475753788,1.0261631294075853,1.118139823687487,0.9658344132875641,0.8567463641449597,0.8211176538536531,0.6921216752234185,0.6616653737254926,0.5962967665177696,0.6266438218783132,0.6015111033655324,0.6272804982222963,0.6604918204334246,0.6675217254578054,0.6855259569248267,0.6525236085531222,0.7248120614877308,0.6857070790155999,0.7719729543301256,0.9112517508435665,0.9073239613520304,0.849594255237274,0.9193101733110701,1.32115308366876,1.6887012462959998,1.759782267664283,1.1763515447976165,1.6101858908662217,2.2305664604866515,1.5364577265544013,1.8846684551638664,1.731432911557142,1.8679637131714089,1.7994752305629118,1.1487037518410903,1.1899304043691794,1.0916475718783294,1.1279287027089318,1.6767045489201224,1.0941296879157256,0.9000707873275547,0.7583511784574675,0.9119929962744023,0.917382760158487,0.7700362071835415,0.8407992966676751,0.7203209665310055,0.8194268039721823,0.7922040863236824,0.9120360053101702,1.1278461413895908,0.8329243887071724,0.8766755856996908,0.7763967050041803,0.8681114893519323,0.7778096299571299,0.7112565265075589,0.7604894259157509,0.7896076485116802,0.7042921061231511,0.7863565410720176,0.8939482140112022,0.8944707058484782,0.8010665861166903,0.6633448116076486,0.6873831223178468,0.7428868855192421,0.7213472392447361,0.7499120052387753,0.6664069536041117,0.7344447499733826,0.6845210975178776,0.6236577587800104,0.6106048010512896,0.6126232494006567,0.6712274937430643,0.5880733508939314,0.5611303766643251,0.6030315482877961,0.576116461495152,0.6453580976012285,0.6084060781330466,0.6170284986218182,0.891045268055709,0.5846591087132911,0.7252208045907699,0.730453939490482,0.6525046604187172,0.6529066703469417,0.5935479419121188,0.553093781336035,0.548972562253599,0.5402386441294977,0.5849759070759817,0.665910968692787,0.7535515446614484,0.75303040544238,0.8375657117150341,0.7323678650094482,0.7254071310505865,0.7103461272007265,0.7312857704849333,0.5880680256498301,0.5470201836163662,0.535682517366128,0.6315710497595896,0.6087791204196249,0.5661634162496822,0.5978634365837994,0.6658734616953051,0.6968531460387233,0.7110899981295513,0.6415360024248341,0.6397012240889643,0.6021059420397451,0.66250706754424,0.6115290363049536,0.62866645356778,0.6411582876925931,0.7364855641706226,0.9104119839145912,0.7091495510273009,0.6522997544789061,0.78931397755664,0.6214229060353024,0.6257322698440548,0.5966399949875777,0.5641459104794487,0.5285549857850761,0.6017721240232652,0.5895841505262939,0.8070303181046897,1.2123636582615658,0.803981484306366,0.5803551895485379,0.5522438994480933,0.5555669954953302,0.5872762278901055,0.5776918655764028,0.560154498771912,0.5981864804649627,0.6394398534740312,0.6881121483870984,0.7304335397633981,0.913261951356253,0.8262815096045533,1.1116204477899758,1.0797641772151179,0.9147508123286886,0.724611019072785,0.6499020752887161,0.6291090107813467,0.6170308106949446,0.6113218742844851,0.5791372174053121,0.5910514706074711,0.6087080830723992,0.6724112971802495,0.6733203553257671,0.7352359927963049,0.5670379379312024,0.6197245445513392,0.7265841569785492,0.7513984937386602,0.9173036029823416,1.0044814630313679,1.1939778534972243,1.8338936682970646,1.3704513639882545,1.076451624763317,1.3360968214711624,1.1042708532186072,1.06026073576879,1.1271520286396832,1.3265201943995053,0.8722660910469986,0.8411445031108699,0.8378388115672503,0.7513308225094963,0.838338728608417,0.756250625380275,0.7101435241832843,0.8103463003325762,0.8084429792445756,0.7772660211317084,0.7831463273587704,0.8013188849716121,0.7858622239432029,0.811516254056055,0.8331483286014546,0.8194615975345969,0.8304583569577322,0.9609381653421032,0.9279241615862538,0.9481537842171786,0.9640264360885314,0.9374683311787033,0.8361239997024055,0.8579031265089146,0.9058820919538566,1.2750040001051557,1.1575468335056993,1.2654615715038726,1.025039689985524,0.9415740566013877,0.9577101185972557,1.0732602695631506,1.1754473822524554,1.0285721020083276,0.9274310538674205,1.1372256486780006,1.055252566898382,0.9723437841856911,1.1955643434192558,1.234103810772832,1.1464688374023018,1.0773410751426276,0.907744067692328,0.8432060833677713,0.8796365206976298,0.8221477900184865,0.9150841275917846,0.9451547746052206,1.00229820754284,0.947635465395842,0.8673148791344996,0.8201108199924741,0.8484052593419703,0.7678357216482321,0.758473943881252,0.7753244912397736,0.7637204855749076,0.8245610619815127,0.7837705792450392,0.9500584501936213,0.8140893063663747,0.8340843745733036,0.8320550432101671,0.8640019462140975,0.8701041245334127,0.8991196041802416,0.8902155796213629,0.850500586898826,0.8969281963808975,0.9232066642195896,0.8961248335232623,0.9111146128059037,1.0486994527080633,1.1496250388092006,0.9669693156456258,1.0511488197526986,1.3852796578742137,1.4694748176612091,1.1505151990699705,1.0916370782205536,1.7575727288037488,1.76944026521392,1.1729452084003207,0.9673874552818329,0.9017766768729704,0.9441279005497313,1.0050353592201697,0.9261929209070968,0.8372474643152804,0.8869577610242773,0.89631998646094,0.720221112761506,0.7563243471912083,0.6010805221726231,0.6386200300133226,0.6466358597234735,0.6614705688728257,0.8182187625372647,0.7125995462866841,0.669063145453882,0.7621080740664463,0.8084341869966581,0.8860562988042177,0.8836045535431609,0.9376792186563138,1.5025117628363611,1.8797986889371687,3.4787155281724496],[1.1623231573059383,0.998853684769938,1.0195478943898362,0.8707771652909002,0.9338093391338013,0.9487369202262749,0.8988797769463798,0.9015311116685477,0.9099930164685943,0.8328145246984201,0.8445265793094384,0.8506120050556795,0.831673409259703,0.8171879083572287,0.8562914245802634,0.8666984337910356,0.8701855155502313,0.8929828729130291,0.9572513544712997,0.9748726239277209,1.0225353822190815,1.1279092941533604,1.1641539203375726,1.2533872867292868,1.1383757515291977,1.0629437560351669,1.0310309671480629,0.9098784158493909,0.8916104029529199,0.8510936681212339,0.886417652441294,0.8672981846335698,0.9105767286332092,0.9064346168239468,0.9105403702398928,0.9220203067183578,0.8734679760191363,0.941931565526428,0.9156524954451941,0.8789536652147931,1.0900961385525076,1.1055962826080878,1.0071629507450062,1.1063866138845728,1.5765036129450538,2.110247679830965,2.1260535872410253,1.461611898917452,1.8882442366631185,2.5697816109625173,1.678660869672828,1.9033641206415362,1.6928164064280993,1.7258144975041954,1.8938795069677308,1.288345192532185,1.36334224458661,1.2149935952883766,1.2789768070541176,1.6999248779579748,1.1683219521001889,1.0835472605683572,0.9311049256965412,1.0775811958876793,1.1039930875563724,0.9585277451156132,1.0305547868474219,0.9450377566831869,1.0016315894067862,0.9531638098818556,1.0599903176138814,1.2354220674904903,0.9800537632628634,1.0074593292170473,0.9967985394130773,1.0718542184376905,0.9832546331309762,0.9349446713048325,0.9660565782681968,0.9759913913164816,0.8843568198783739,0.9288575237201205,1.0281110937400997,0.9977713166624355,0.9116078580104069,0.8413435331890214,0.892054983030115,0.9090588125087465,0.9390521065238995,0.9657627448409483,0.8964519188781555,0.9569816945755016,0.8920611301092266,0.8810306609547356,0.8770546084952789,0.876734767497871,0.9182565454711954,0.8714335870259237,0.8545218369893226,0.8984749382391627,0.83681219993333,0.83067930210762,0.8269950443071854,0.803504645585128,1.0768486354669529,0.7444754393131867,0.8118954933096122,0.774933461181497,0.7811382725985908,0.8309324975629254,0.8396402497898376,0.811759229497685,0.8273274065704698,0.832499585637938,0.8613942611854315,0.8891663205156208,0.9418128638640972,0.9363886905384214,0.985416813781443,0.9338041948508924,0.9146834783760575,0.9123816717755334,0.9241844865330042,0.8470077635036516,0.8157430703992615,0.82405779490404,0.9035131998343485,0.8553591755714643,0.7620377918541736,0.726776421444139,0.724696833840794,0.7112005115473821,0.7088440718641552,0.6930080834872371,0.72579718968984,0.7850259330462679,0.7488578318566712,0.8667934980465557,0.8734779143298876,0.8929401632615885,0.9413006625412773,1.1148370328548605,0.9053771848837395,0.873780701948876,1.011009615578526,0.844605262022449,0.8526047428311131,0.8676204541671638,0.8485256200489184,0.8130796320023777,0.8848479301037524,0.8519553337225336,1.0013621250628864,1.3876196479742722,0.9849318018239751,0.8447701013868746,0.8393625658437266,0.8191501377553118,0.8507071473606904,0.823253376679757,0.7849834077564082,0.826419767254456,0.8473979108149031,0.8547935929363322,0.9300151576685524,1.1068367218461184,1.0109446154285995,1.3233083721529404,1.32584713546169,1.1494789060191632,0.9062813325252043,0.8715941088802098,0.8106339436429009,0.7877802838748408,0.7983894820850392,0.772795471188738,0.7881699166052,0.8110556164699093,0.8185016582733257,0.8036697754063853,0.8656157577759521,0.7028287938276016,0.6816787899039456,0.7806935841182214,0.8617984588164319,0.9992650304161255,1.0475355120451704,1.2476508654285599,1.8340426627850215,1.3967220824981572,1.0961884174959353,1.2274315091774957,1.0723276742137755,1.0445873892348163,1.0960053639110459,1.2949018720484735,0.840658765532646,0.8100137535574209,0.8513732828501259,0.8070658339123707,0.9138157346596346,0.8551881073475854,0.8410119535832944,0.9482884868596582,0.9473651841939708,0.9371520835257552,0.9662574677842547,0.9734244842836725,0.9469871189984769,0.9735016664230549,1.0022383885255495,0.9970915407252289,0.9851555097511179,1.084338910237422,1.0672403879002075,1.087565188505398,1.0883058506802754,1.0738070122698748,0.9929469578741771,0.9998168042921707,1.0118665225874184,1.3690722993449984,1.2073166413219394,1.3262958463999264,1.0891729952923817,0.996209548421992,1.011586566943501,1.099552890111692,1.2154688258803066,1.0751586118487397,0.9482891985859813,1.1431157296495706,1.0828658521787202,0.9909710954692174,1.1692677860376366,1.2250857570954887,1.1601797712462774,1.0768372729931281,0.9475867843752845,0.8373504357281133,0.8848890955716328,0.8696531007216434,0.9189657976393308,0.9858209388253282,1.0245018943931496,1.012934488303148,0.941551428348064,0.9160348661965321,0.9657513606988113,0.9090708936398033,0.9086329680102643,0.930434242704631,0.9317179799738848,0.9837361436249221,0.9472745336801754,1.0759670747773107,0.9771389856531637,0.9849953921468437,0.976884690200719,1.0024608593526785,1.0016414572233099,1.001573289658051,1.0213803701199364,1.0019666181045697,1.0072019596744628,1.0363256491609882,1.0323880800149596,1.021465517750248,1.1142168368269332,1.2326923105640644,1.0856314491589092,1.111177453588409,1.4372334771151933,1.5471779483020878,1.2650322781454582,1.2556027185185212,1.8203739493528326,1.8578290017626942,1.3132099227112466,1.07418607330733,1.040582340584446,1.069955908907569,1.0772682071541182,1.0468763114989865,0.9716045674534731,0.9806758645218762,1.0184218341748277,0.9130428208107128,0.8632518616094106,0.8297508429513268,0.8816597459925328,0.8721105789117882,0.9195498340447356,0.9552968639135144,0.943941106678323,0.9441159766327691,0.95594515149715,1.0520572062914715,1.0755196445193644,1.1327125635352122,1.215802466982108,1.673326765441982,2.057053596502725,3.55990044552007],[1.0553472248284328,0.8447794607610496,0.8062718677527623,0.6551099358123084,0.6858208506839918,0.7274440359447267,0.6653083787269208,0.6728827597756691,0.6876217926594479,0.622997926984319,0.6326334616100244,0.6775710243406958,0.6554491562347896,0.6314078087923964,0.6831657465128423,0.7069367803248106,0.7361444249409466,0.7524756721341165,0.7985056629287357,0.8442530486403533,0.8904740724812858,1.0223427484173933,1.050741642384408,1.1404682208385826,1.022579714821243,0.91752944152778,0.9052816789106765,0.7798490492737031,0.7601846715451989,0.7123292509621287,0.7283676671321473,0.7105976055853145,0.7412719743087924,0.7685210135074935,0.7772311797946815,0.7905222772067613,0.7730630106567824,0.8307713260445609,0.8229360916172913,0.8469140644589374,1.0254143659453432,1.0064887275990935,0.9398579152277589,1.0518508843948324,1.4767349265115801,1.973528074442332,1.9957479583872169,1.3801127855072757,1.8514817450308307,2.5102599180521765,1.6298352698957934,1.887971090723987,1.6563396810986775,1.6830043853156764,1.8217849305648848,1.235701280351765,1.3159236551509526,1.121471700696223,1.2140142790138153,1.6579773340568322,1.1077572073508761,0.979402736289128,0.8349320572108992,0.9502965717382738,0.9854290406323925,0.8433683267790417,0.90777542164073,0.7980393300093972,0.8557908590714485,0.8105168118042652,0.9337117260330848,1.1215939897701197,0.855618508197149,0.9075791730120362,0.8215946923949378,0.9302752862492851,0.8562022188730743,0.8012822225289732,0.8494319777711272,0.8902566005646526,0.8187288625992292,0.8754084089748709,1.0071503036376457,0.9641448041080255,0.8893117242489231,0.7778030659418249,0.8058831000822742,0.836763088397409,0.8229152549676317,0.8470096965741555,0.7635059513669337,0.8209099801298514,0.7580961332876743,0.7279997368665544,0.7072214573442953,0.6924896874286681,0.7535040248157084,0.6873983746731231,0.67237017828243,0.7191461921513377,0.6763508747313962,0.6787574879612974,0.7147221996340901,0.7000051262912487,0.9804866405124653,0.6596689020991423,0.7411820588727726,0.7072428775326396,0.6427683629074433,0.6934539869597159,0.6301415941138135,0.6481801291493215,0.6301328913566764,0.6578797892511414,0.6967698043827972,0.7487103179606102,0.8197273327826539,0.8035726992412031,0.8623600053127461,0.7973908307785029,0.7663668072260511,0.7615627532974946,0.754602812802418,0.6627359308086352,0.6215767801704964,0.6512822784483457,0.6771981460596631,0.6700279291221605,0.6384121120984193,0.684987658032982,0.7156392299679846,0.7122487284348221,0.7546037380462606,0.7071594727128404,0.7538593123914258,0.7654313768170984,0.7632386046261876,0.7793826284962467,0.7549132441498031,0.7773489023724443,0.8008072369132201,0.9869471039446172,0.7882148738931288,0.7594355827983515,0.9086534676272758,0.7395726728217462,0.7429832220385313,0.7314452618657076,0.7047881349658757,0.6241379342620428,0.6959374689099083,0.6538694730421198,0.8606780349508268,1.2931055604441004,0.8531914170027453,0.668668387938503,0.6458593735902672,0.651885128632118,0.692838599490562,0.6950573491788853,0.7044257766189481,0.7449749059703059,0.7797842980891602,0.8111993988335481,0.8826598017045807,1.048263655210852,0.9899828961729821,1.2784903713236535,1.2873433307814954,1.1037639816533271,0.9034017046606844,0.8308874755024588,0.7942455488085443,0.7634737475718401,0.7553290128556668,0.7153135217432325,0.7198714523789748,0.7803509656552048,0.7890505713648631,0.7663520540026963,0.8629139385156234,0.686353427642913,0.7229953773574888,0.8150817038400064,0.8833091097448729,0.9994492277615066,1.0410125300669704,1.2300189059672968,1.8241092192027932,1.3938711058608535,1.0904650473958357,1.2406458890087357,1.0788014156878354,1.057233590501405,1.0980148282766344,1.2850893197548376,0.8724483927354267,0.7853755647768228,0.7226739291414815,0.6490246373222422,0.7315014146362808,0.6440049921495357,0.6163347111096689,0.6960590768114588,0.7054243096610152,0.6819909941900735,0.7270329927885093,0.7386379583014333,0.707573401956621,0.7738849419102555,0.8166341626297264,0.8020496861883345,0.8106559678376085,0.9683477355924708,0.9399134036318693,0.9631111659597769,0.9239267506622588,0.9328396729329747,0.8055054364543368,0.822845591646641,0.8951930503205393,1.2623675157772871,1.1325013145394267,1.218519163762443,0.9688047620590443,0.8637043678525389,0.9000622223654958,0.9891566145271045,1.1510828531442858,0.958433706200109,0.8327142385284306,1.0534914145553844,0.9854749255372519,0.8802193220993079,1.1369394576588323,1.1915404582993017,1.0941530843015717,1.071968265068603,0.8012761495039137,0.7607253004617519,0.8016832322825967,0.7339624758619168,0.7857127004802309,0.8320157098939928,0.8713474384991201,0.8654325181455977,0.7869209989769859,0.702587906551965,0.7518194853133273,0.6733361747601716,0.674019338159358,0.711831381693727,0.7062691554134312,0.7353617975222143,0.7224315264443366,0.8983591116028354,0.7641393944285726,0.7773085838722489,0.7708036241103969,0.7953633390678145,0.7875478545349264,0.8104719392324257,0.8270621951371869,0.7750979006213402,0.8149264081596177,0.8657504334450391,0.844241881885627,0.8342722091102334,1.004036670818796,1.1389892686374412,0.9294370066655782,1.0332342279736904,1.3376019415805718,1.4340763040481705,1.1224339560831589,1.0591439622736343,1.7178614857350918,1.7911731628161518,1.1929723414146525,0.9868394641892171,0.8799666625500956,0.9348105863516937,1.0151946092700679,0.9392245370154898,0.8295276039106656,0.7639822027352499,0.800131969848798,0.6334720314801504,0.6470177511576067,0.6114261929450013,0.627011464276537,0.6277651876400896,0.6616544626106607,0.71587823246154,0.7039288152081574,0.7053455794763799,0.7314316888802187,0.8275065380295908,0.9716571172818211,1.0628235248722577,1.0536033883220708,1.4942459414322538,1.7416596452087056,3.129494268751937],[1.2351734805471244,0.9139269469038603,0.83906805295779,0.6257823569348616,0.7010534348946387,0.7332653692352639,0.6844718422660281,0.7115625694512399,0.6921283526380697,0.6275790426640975,0.6356650573450002,0.7009460758455468,0.6830167268748113,0.6269844857623473,0.6823689683926827,0.7333480380162495,0.7527904442734905,0.7642897682134958,0.7922992441033551,0.8722990085556989,0.9067861093705197,1.0534796016124488,1.0663781885007382,1.1609250599659393,1.047726226170987,0.928132745281162,0.9309501279490802,0.8029676976630796,0.791592723716348,0.7658498126497449,0.7644542463984997,0.7665372251047275,0.7964076464254645,0.8234776228465297,0.8431852447473086,0.8431040841487237,0.8563406032164518,0.8915582783504715,0.8873010881611937,0.9314557225309416,1.0818258491378605,1.0531604542133706,0.9934011456000715,1.1134159194414843,1.5594642529228624,2.0854852964089368,2.122916155130075,1.4707195962292579,1.8820591981789752,2.604064857895884,1.7082402308677525,1.9059476193302607,1.6987423651278863,1.7000134214367832,1.9005878756918095,1.3461737388178499,1.397224876579994,1.185991605723913,1.2857537108045658,1.7157190928734298,1.1555352002091044,1.0382003063085046,0.8872664198146427,0.978650247132063,1.026832325824662,0.884920933248676,0.9143230320763078,0.8174290935584817,0.8443334247319283,0.7968218805917556,0.9068268715560125,1.0883665504190665,0.8384924275246326,0.9046759972985757,0.8306172882012189,0.9517075186530711,0.8951323001609789,0.851256308723436,0.9119398614312879,0.9630932178555704,0.9173121227272177,0.9690278936347345,1.0936264414780257,1.0579157997479502,0.9715467799597564,0.8724160630125634,0.8869671337378785,0.9211159046956594,0.8825325613494635,0.9099406328141194,0.8051847433465783,0.8480857646894865,0.785896467105604,0.7608301254419809,0.7325401938671269,0.7020927103938006,0.7476778995060069,0.7335543360521676,0.724815561170213,0.8045404023422407,0.7627807590788608,0.774675185882148,0.8130381232004917,0.8233475852370054,1.0941806876934614,0.7985636251714342,0.9091181192141643,0.8623174168131645,0.8034040453636259,0.8224523927609515,0.7401030724510838,0.7631444788758198,0.706887649465017,0.7159563380991891,0.7221940986795012,0.7549313499378479,0.8271438870794867,0.7870867257959412,0.8444078706674726,0.7927104493600092,0.7413038445951973,0.7440676401340847,0.7238987743278911,0.6524441388900095,0.6135134829650154,0.6945137487741779,0.7291814746796718,0.767136208641532,0.7753372862081472,0.8301852417904498,0.8811727546255621,0.890708193010384,0.8937532656476479,0.851161701765744,0.8871440052989571,0.8509858066673361,0.8544570327786989,0.820947675173939,0.7614873219561417,0.7996751049801665,0.7897953459739644,0.9957417324967132,0.7931744118319598,0.7754525852329958,0.9468536695089201,0.7838061753688508,0.7820201349499438,0.7869909636084679,0.7945764106134982,0.7053246884969969,0.7868525458139396,0.7310332878452862,0.9484305456481155,1.3950608648394356,0.9116717929058155,0.757250722078981,0.7227975992516702,0.7569278864649671,0.7754174053455387,0.8168086826253133,0.8050472926689088,0.8229192697937343,0.8321556369492411,0.8795341517021782,0.9478704723576441,1.083640619256658,1.037029717601889,1.3066624169602543,1.299180157050715,1.111145596953855,0.9539945532483339,0.8927455404366246,0.883362419812523,0.8703521904819979,0.865172877516724,0.8362574604596043,0.812349362511471,0.8907292145425453,0.8916742566466574,0.8931786515475404,0.9780471900077067,0.8237450259276324,0.85130963722016,0.9265780524551607,0.9955703746639185,1.0865525785736767,1.1122394308049588,1.3008178562272117,1.868992639203426,1.4362223881889253,1.1467724224548719,1.2317472676788466,1.1084065175472473,1.1246587852613634,1.199434343095035,1.3805951445903841,1.0362591179993508,0.9632911444793484,0.8778465179437273,0.8005138419054927,0.8612804455624989,0.7684760075444412,0.7289672505411384,0.7621198907972918,0.7740929061358631,0.7080762957926637,0.7157247221988932,0.7357586361918711,0.7209200123618237,0.759432431363384,0.7991282331801443,0.797984617741107,0.8060591874947085,0.9741653187777132,0.953513695113996,0.9707016290902062,0.8990191334046389,0.9180790676863156,0.7890420164068775,0.8107749356099772,0.9735143226259841,1.3229037366867713,1.171284894409654,1.1944967764682608,1.0317181859748774,1.0025546658876134,1.0508226567383647,1.1401882020192187,1.3094131432084737,1.0849123689507718,1.0040058864510293,1.2025186616003705,1.1289960386987694,1.0284549560081802,1.2947259838689367,1.307778353661529,1.2098883121367026,1.2510331668171755,0.9690936247773576,0.944057857536212,0.996555779205408,0.9134307026253513,0.9331049693887639,0.9926521700198578,0.9872863604429268,1.0276579897346256,0.9404948314742478,0.8328664848282458,0.8256079098681268,0.7642073655094614,0.7481278471283079,0.7564486354282366,0.7485659843034689,0.7489446004291731,0.7337624916105611,0.9038978737939777,0.7786786774214156,0.7948187548175608,0.7796148081380567,0.8263775118164974,0.859224825398849,0.9094157182428722,0.8727064874978815,0.8121701958813854,0.8902035082224268,0.922060551065326,0.880444885269448,0.8879932212761157,1.0819368776334315,1.1708419906018868,0.9118460111529876,1.1208035765518867,1.3817635676443032,1.4418743322374417,1.0858444465297037,1.0110162543380625,1.7472911281105952,1.7844567202012063,1.2437183251233594,0.9913267072093143,0.84566891680291,0.9072897928160334,1.0068656976315842,0.9305483077927686,0.8111362180398576,0.6565003739114601,0.7524295538092559,0.7027846056321105,0.7670947310349211,0.7272222659122519,0.6992443952102815,0.7180975556067065,0.8008725205342689,0.7846007868501201,0.7469747666393867,0.8067757492999793,0.7883330703215152,0.8407403380636399,1.0288072037662772,1.2464070508207974,1.1507733483859524,1.4945699495719884,1.6774832997062472,2.8894790647135795],[1.1075770573251456,0.7823089501614746,0.6820841554714835,0.5487337785852611,0.6138431307861621,0.6600332970255276,0.6072652217005395,0.5968328083463851,0.6372329935900646,0.5916822379269696,0.600427610922697,0.6584795371664305,0.6371414877540251,0.6261201096711687,0.65606349713869,0.6586488885704301,0.7011414850689841,0.7098636305658592,0.732219012935476,0.7761417378432075,0.8058355783697865,0.9246866812649737,0.9752212795958672,1.0555238838277659,0.9340078292878419,0.8266597605558406,0.8263100975952831,0.7236803993629544,0.7175883847625674,0.6687357840933373,0.6839985534964187,0.6675034225858373,0.6960523862458432,0.7077146860958944,0.7185592520190154,0.7348004329256492,0.7365298803737772,0.7528752077270675,0.7650468094417396,0.7930068685856623,0.9708867690759266,0.9345682318114025,0.8770681654428136,0.9845079238892243,1.35587436720542,1.8394622113321661,1.8856260983461448,1.2990956235183666,1.8154680770557756,2.4708261720742395,1.6054780984716384,1.9032385432339236,1.6404224772589666,1.6349066575660227,1.7576690595602134,1.1863339495670109,1.2959781741546916,1.0604346397218476,1.164150490334138,1.662993845747135,1.0830992137367512,0.8995050213907086,0.7746883364811422,0.8646581696204731,0.8722435249604097,0.7684888762941966,0.8488870197952699,0.7473504328559913,0.8052205894150949,0.7785472173931302,0.9096855623073982,1.0860415994890438,0.83846437141598,0.8619616063167197,0.7636402910156163,0.9003781971147203,0.7929406628026732,0.7341854270086541,0.7902548553450729,0.8357760885616808,0.7700461500257878,0.8341448072805302,1.0129889250219661,0.9169694864664512,0.8478901274237949,0.7345750711796966,0.7442012758575209,0.796373520759661,0.7714344354710849,0.7920009939483783,0.7103305765365299,0.7753431971206575,0.727288030798407,0.6748422213763694,0.6657150199951423,0.669362502741771,0.7246214119165943,0.6487764622514062,0.6294279122915745,0.6805656786892185,0.6372950830422067,0.7133857638436507,0.6936571763571194,0.7311637338615883,0.955139580730933,0.676209295478416,0.7725465921212152,0.7177393076392246,0.6277328868205915,0.6770618764446288,0.6049923421114344,0.6494599879956169,0.6104518872538611,0.6708356261899528,0.696912460500033,0.718001700649729,0.7827041524985949,0.7385748888716233,0.7971753980602538,0.765199014062675,0.7227512870991963,0.7625712369325398,0.7313322106846181,0.6641105132649332,0.6217679270183887,0.6789943694380394,0.6348168988817617,0.6651021394682184,0.6801232541614257,0.7102305354816196,0.7407297619009473,0.745853679558403,0.7592733026593649,0.7094482255368775,0.7514615811943838,0.800000430797954,0.8064869620269995,0.7849606699042567,0.7426672139423143,0.7360759107889187,0.7276099567367564,0.9108676344001947,0.7340767981336989,0.7145687669419823,0.8503040455476927,0.6988508267077971,0.7057372121196908,0.7039175859007775,0.6914268520166633,0.6104817018935638,0.6645678544564003,0.6091022568700584,0.8466236190651738,1.3086656663408645,0.8672739839607654,0.6425548137765429,0.5995558224997591,0.6265027796698458,0.6564665973574833,0.6998858779029739,0.6908658334744913,0.6989822518875863,0.7367325640042154,0.7713163715004218,0.8320972908606681,1.0025126123471388,0.9325526750338281,1.2214310351363666,1.2268945482587252,1.0506403278723868,0.864737727097343,0.8056054920359421,0.7730874503158668,0.7524968805743025,0.7285418606326183,0.7040533967457286,0.7206650524458398,0.7880856139599913,0.7470732912297043,0.7414382927640919,0.8577867990388252,0.7021370813214143,0.735408643753815,0.7993191052110895,0.8496345531271535,0.9465730449926827,0.9829949351098342,1.1735723033812964,1.8107893572159057,1.3546631916970802,1.0506362078136493,1.1889806480068403,1.0393920368581027,1.0271738851967052,1.0951094200462166,1.3022192605939713,0.8968162154272894,0.8280519458581496,0.7582963178922956,0.6432248604055272,0.7022926425702314,0.5853772323387187,0.5519670095568976,0.5864756709469227,0.5856529338763463,0.5347788292307393,0.557801985861452,0.5845621413960792,0.5657951856008214,0.6642064714092409,0.6785215988711112,0.6639444363019906,0.7284864431356626,0.9513078143520048,0.8774352519851822,0.8560873043434314,0.8259643654819228,0.794437175454187,0.6756995939158316,0.7131432627002334,0.9099451062524992,1.2801339433059187,1.1281833656279971,1.1508921914027461,0.9485306055275577,0.9003395717184756,0.9289232843059708,1.0582374286001002,1.283363630780047,0.9875086811342398,0.8851387924674887,1.1357318681146402,1.0812238197221644,0.9289878329669793,1.200369286930804,1.2912799741539627,1.1804486017903326,1.189074232661313,0.8635484644904564,0.8039398879759062,0.8484521882447963,0.733459744253719,0.7627358920623745,0.8541403671801479,0.8380061225583793,0.873764368450915,0.7761650060429888,0.6414884763766489,0.6608304438094242,0.5617309723589685,0.5683257948320469,0.6276376187738112,0.6086508997499228,0.6137511269010458,0.6175934449797456,0.8169061191568862,0.6664914441106214,0.68631709733075,0.6578221928496807,0.6780370733523583,0.6836545720849966,0.7774567995917361,0.7528739396971837,0.6640024811104599,0.7546522413644318,0.8309460520700994,0.773616303056924,0.7895377708965192,1.0545056289869779,1.1947467358600068,0.8959051466797642,1.1360498475835363,1.3786114018521987,1.4174407112847556,1.1160120026121445,0.8586383334167379,1.6224514856904442,1.6229124796326717,1.0601406473298869,0.8700055840261505,0.6858766098472152,0.809830043989904,0.9785315785690081,0.7994483707156133,0.5513677004366148,0.5037735891208099,0.596497838304285,0.5459454402876517,0.6173507773067268,0.6423047382620549,0.5606429463567252,0.5881346268804097,0.5867023463012254,0.6416513066266355,0.6237824977327963,0.6053272600320725,0.6264306435294928,0.7015232624312913,0.9308131616529441,1.1439437172460736,0.9894544861138994,1.382540586950599,1.5166870612734407,2.5496680171646955],[0.8709074122334469,0.60268293669986,0.5751916036890359,0.3596843884320111,0.49329785360443323,0.5154723765690101,0.4636719264736143,0.48791319589881194,0.5172991551842577,0.4628290364764331,0.46930571888854505,0.5269564721982858,0.5051153143932625,0.4939034126021338,0.5451338773830059,0.5607444324815906,0.5945795463220701,0.6020616006104326,0.6423931614410842,0.6912172621667666,0.750895016598006,0.8829336816915063,0.9631692862199284,1.0488188457454366,0.9104041015637304,0.7729848764850091,0.7569242801310602,0.6150116888600938,0.6026157768981705,0.5710189387280462,0.5844243830746833,0.549885899579065,0.5739862247397279,0.6073547395508777,0.6112365500982698,0.6378530894193469,0.6390643946174354,0.6720164644978477,0.6705488653886726,0.7341563349077626,0.8958328845742057,0.8638306537737706,0.820585338489258,0.9034186508900925,1.1957702064576434,1.545206536794478,1.6478422621942128,1.1289805486850768,1.6051721062691324,2.217487905079548,1.5522770601991616,1.9185885308917296,1.7087450725172844,1.7802992863351566,1.7330831397807867,1.165212820992472,1.2401727503667255,1.0049142103316384,1.0813166798548186,1.6180820952125101,1.065050829388766,0.8421491917759647,0.7131469386208952,0.8447502691542333,0.829601831929069,0.7192043030866593,0.8033991377192854,0.6422448763656572,0.701816976725515,0.7193881239141885,0.8234913531396303,1.0147121740244964,0.7728899884281104,0.7958915899319542,0.6892940601427744,0.8687346578696752,0.6994375587620334,0.6358428331834526,0.7055620279814135,0.7386763110684482,0.6844694589951962,0.754496687347806,0.9742466951187995,0.8627107133250043,0.7962456093641807,0.6504043796121792,0.6638336607855381,0.6950551954612095,0.6753390609880876,0.6977582384572368,0.6027151825036126,0.7054678396731093,0.6470490554687995,0.574954431974199,0.5591242016926191,0.5575627547039956,0.6181864946395176,0.5421026450910857,0.5405866842508801,0.6330585295245666,0.5489895094687505,0.6117722190222648,0.5727668106577178,0.6197542057666642,0.8940177142724844,0.598245342724247,0.6989903469119496,0.6593705578372205,0.5807722837389583,0.6390410304842117,0.5180079387325608,0.5538757259530209,0.4810738666814909,0.5293400791320445,0.5634626908204139,0.6083357049507849,0.6756634775575036,0.6415753596059094,0.7207954133793272,0.6500752699761111,0.6337849762294011,0.6448021279641049,0.6208891840267323,0.5307184407549571,0.47424324073594015,0.5261045693923007,0.5382763349122549,0.5847538558482238,0.5699662292145364,0.6182392795088214,0.6706999418496163,0.681085550694362,0.6778889513640455,0.6188271546111709,0.6528049626233947,0.6642745975898555,0.6947618466123087,0.647959061265815,0.6069448460025544,0.608975310789801,0.6100701657715192,0.772829790938436,0.6111566210037451,0.5972040945862774,0.7542280455452869,0.5859519057886241,0.5906129353770249,0.6000659874331203,0.5648707368979443,0.49554733573778165,0.5850834123841365,0.5214018057797323,0.7937013860551451,1.2769837927894152,0.87638914771726,0.5578395355694362,0.5136171504733963,0.5231046974094201,0.5465373520179578,0.6001561232051376,0.5881138681702531,0.5919937243991671,0.6188600292576428,0.675942269545007,0.7171845050355911,0.8536737599127725,0.8473476108600684,1.1418255516118805,1.1153329182568292,0.9435209750012057,0.7695731764083575,0.6923639344928969,0.6734344548109947,0.655582012012188,0.6348487895840726,0.6036293089774446,0.6100633529725009,0.6715326888339869,0.6561972145623286,0.6532611192057045,0.7630639834104583,0.6122845409146985,0.6441111721000017,0.722871582635643,0.7776907170579822,0.9060516649735026,0.9655980505654145,1.159631278734499,1.8239959801051333,1.3755959017683612,1.0869779258427554,1.2606448062098523,1.0236210908042618,1.0050554709940722,1.0596192238505466,1.2728938723473278,0.8544043390080778,0.7934355239177282,0.7352499600131719,0.6123449211924198,0.6910183918518802,0.5678994743605165,0.5270808060618329,0.5875883831161944,0.5887171266187915,0.5354567013212032,0.5576851992202335,0.610113129508409,0.5905427351148315,0.7011239956177054,0.7088505920667375,0.7026389008992445,0.7885015207490182,0.9955313721307104,0.9303592733294154,0.8894822539008936,0.9183324076615302,0.8381276652506916,0.7124664413273405,0.7523243893762891,0.9029548658059765,1.3084946363173042,1.108919274446993,1.1601368729020118,0.9594004767949117,0.9088757452310928,0.9328055320828991,1.0485379898343277,1.286958688500196,0.9952263752886121,0.8819041830501512,1.1540988831796253,1.0926128279657672,0.9373739565626998,1.2348551546210165,1.3351310427587473,1.1973825521453743,1.1637581373266666,0.8521294853804694,0.7772510932659059,0.8338033880428192,0.7299825602241743,0.7623766223399451,0.820907252151067,0.8254492903357429,0.8337609115601757,0.7615239957995636,0.6154728725391913,0.6342402563862535,0.548326345051058,0.5668699650563509,0.6441302669300872,0.6195455480368551,0.6264914979559957,0.6498046710731047,0.8599095813614742,0.7120767422178518,0.7329329636912931,0.6849261334136874,0.6921630064689247,0.6742613506017323,0.7665121678591925,0.7629568779557122,0.6727160634297079,0.757720558409302,0.8398458517275377,0.7855593236309523,0.7985241773787436,1.0526832778262365,1.1943996685550222,0.8992858997915328,1.133889203204427,1.395479422956185,1.4213809077682986,1.0962227045828712,0.8645009818353614,1.6072301515868201,1.5345363318934504,1.0782671432630297,0.9073702556864347,0.7106869986569843,0.7906985001763647,0.943302578475312,0.75277376082989,0.6703730042449791,0.6262626445850518,0.6576058779409719,0.5209600389419183,0.593936872487002,0.556217647425715,0.5343261131635647,0.5336422181007602,0.5450009039911902,0.6417327457889984,0.5841543377884967,0.5769946494957205,0.589153911397193,0.6094600294335173,0.8236137804990453,1.0162610002350654,0.8558857018194332,1.3068660022241207,1.3639191974580895,2.4751060904843336],[0.6130864326698836,0.533410193781226,0.5532723489753694,0.3304805514619898,0.43758723610981665,0.4541763684697726,0.3974610337859824,0.439097053551567,0.46873299466748886,0.40365335413245396,0.4103566856294958,0.46703873106627164,0.42981045838831333,0.42990531476670474,0.4629671338594486,0.46831681020367805,0.5015284210939349,0.4966212267420114,0.5398726018660436,0.5806795456920376,0.6274544763799706,0.7998699430410189,0.8480636754807132,0.91749910032167,0.8098397705105012,0.6678410658971731,0.6605339357589618,0.5037715540490542,0.4890903496153592,0.4695840562641056,0.47263672821070307,0.46307726777144886,0.4870531175759416,0.5018966468435491,0.5056844154341337,0.5297789662609506,0.524919416339484,0.5497845025180397,0.5415286460811742,0.6438005282045918,0.8486508254603164,0.7714190591984801,0.7312985331142449,0.7941262455252969,1.1280171213349757,1.4400912270840802,1.46622479047485,0.9515419032650276,1.5786741385525602,2.0436453760501805,1.2751223829525522,1.747893479943086,1.5668665503941424,1.657131871987572,1.6455120416071596,1.068861153710315,1.2254827101950816,0.8996382943729279,1.0005003270508568,1.560886877427396,1.040086064417105,0.7554057853408022,0.6098286490075252,0.7395260665142087,0.7259544675494004,0.6198266312414189,0.6768400441602771,0.5408821494762786,0.6313302771224321,0.6570420824648231,0.792083043688365,0.9951517149244897,0.738719300453143,0.7257778558628697,0.6048542850744908,0.8165278410902996,0.5965832106450277,0.5259222268960865,0.5927523209478862,0.6423281482401556,0.58257155400391,0.6734608617023886,0.8978496633557044,0.7326167064259337,0.7174885484270203,0.5685404347431506,0.5550332531261094,0.6011402120873505,0.5697576378669647,0.6153519616846193,0.4949037919054379,0.5995771542515062,0.5517751389915773,0.4851917750010177,0.4765437060833794,0.49579480044652313,0.5714351034804573,0.4730696175948141,0.46821157347101694,0.6028567101673575,0.4891275251320659,0.5891700132076955,0.4937686977398658,0.5281653232460072,0.7593758122701896,0.5236107900123171,0.6552752046700143,0.6116964858845244,0.5218769334310894,0.659943885165097,0.4615095551192299,0.4705665615877566,0.4144453790442538,0.45159873816402357,0.48644601459549824,0.5286526499181246,0.5981350889682945,0.5190813292155558,0.6303366316585167,0.5646136710824855,0.55299681635639,0.5839766123289798,0.5657721089513201,0.46953059223611454,0.3883810939207457,0.4711352954973268,0.48082366072790267,0.5149922747251395,0.5133695961338096,0.5266768006461368,0.6216788462758444,0.6270378905380217,0.6184582742606548,0.5408301368191039,0.5912395461819335,0.6053332263743441,0.6397059898865239,0.5713935877587475,0.46133943635747915,0.45288085133704054,0.4236870421252646,0.6085906068248444,0.4486245842729106,0.4539814907750828,0.6419701881911057,0.4942882902514739,0.5036786560698281,0.5093176432801451,0.4766509025355694,0.42581244156228526,0.5214961859774689,0.4867553193243351,0.775748050281387,1.2791538843672672,0.9076349111260089,0.5192489441481153,0.4571352132120439,0.4540780032466162,0.4663568654348248,0.5179447662617428,0.4942154203365926,0.5020067368694449,0.5134224528124529,0.559690416961528,0.5848291644721977,0.7350710484708296,0.7360080904430268,1.0029876737849341,1.0472916534716354,0.8568032571329768,0.6888412234198298,0.5638716168257196,0.5505245735014468,0.5459425591880651,0.5302027456128742,0.5024657815908986,0.5323455854200925,0.623457187775257,0.5705838768116006,0.5475612201512333,0.6461876446502863,0.49367307203158656,0.5281510542387831,0.6540800382680803,0.6937156521899396,0.8304469867756886,0.9356485186766662,1.1224832289234856,1.7584230679953585,1.2673088669016201,0.9660117736465188,1.237332130488442,0.9792549955448525,0.936969771699666,0.9772322204496166,1.2272538841785994,0.7873768042188047,0.7382915427007566,0.7227236023371131,0.612947039642304,0.6673015930017858,0.5577956266639198,0.5227235016477031,0.5975045622487061,0.5760127442362016,0.5466073231120174,0.5602794953581054,0.58550444844478,0.5847954504358359,0.6941102195512474,0.6619226211384611,0.662234283108501,0.7827247014851509,0.9489011276803488,0.8575896964190388,0.8171525363501502,0.8440066327232769,0.727162447925193,0.6435541785321408,0.6898440780577468,0.758657311815192,1.208174582230085,1.0167082621067436,1.1800216397755194,0.8831234383700658,0.7981552082395348,0.84208506450626,0.9115598298028966,1.1389441731518257,0.9010242436662443,0.763662675478684,0.980193327051318,0.9714223215212316,0.8369753866406437,1.0864956469046978,1.1846716007579248,1.1124908953307178,1.141179838249641,0.8095900226726322,0.7198591140355549,0.7290861762777333,0.6569696642284408,0.7549376157854456,0.8028195592152598,0.8466888950530687,0.8056239305450056,0.7471186668563528,0.6207003776257637,0.6550110526703217,0.5557574753399688,0.5804653943783973,0.6870737614132485,0.6368313826568067,0.631613194542979,0.671661689086017,0.9063021717508158,0.7164504562332674,0.7056277214823272,0.6584488150870571,0.6310331615795038,0.6156153323529538,0.6921176207590678,0.6910350269996829,0.6243519839811938,0.6999238762244823,0.756443905052239,0.72967720047617,0.7700703374329289,0.9568106407014977,1.1093534101838984,0.8850854061421668,1.0880408128820585,1.2717442059317796,1.3061743667193224,1.083069798716282,0.8711036501519923,1.4390130299609187,1.4241001411283043,0.9042202840944804,0.8055059791021634,0.6633650323060796,0.7442985559087499,0.8610782786814903,0.6954096693160461,0.8234965355143988,0.9133076199562886,0.7671052849269521,0.5323093421345643,0.6015411608561794,0.515338861170324,0.5431167408814712,0.5155673971608109,0.5257277160821423,0.771891526717248,0.5875345495284187,0.5859142163302871,0.636598067719248,0.5807697759713951,0.7605169403880018,0.8893990024071203,0.801244666522615,1.2949266550034224,1.3181869726822943,2.4740876086844845],[0.5457538863895854,0.5398598174868503,0.5710443736091171,0.30311604768197037,0.42488472766286933,0.41291320727143765,0.3678201024640465,0.40814222076827344,0.44487117733037473,0.36796222805858675,0.3787398184490971,0.45550843875614844,0.36842093702301126,0.36775394317117177,0.4018098094984366,0.37410808741677043,0.4118445455398421,0.39705351920030113,0.4442093880012005,0.45084256434077463,0.5349795627856269,0.7099478049227645,0.8200531705050064,0.8794748787835609,0.7519967068781264,0.5981751931866004,0.57326805084201,0.42012106936400445,0.4038497000096829,0.3766488991908082,0.36526849070999523,0.3907679838420378,0.4257665448966544,0.40170680354807276,0.39246501838923437,0.40618201379501534,0.4086194872715016,0.4662807834681383,0.45009265925174663,0.624712433706136,0.783709511878665,0.6792686424237021,0.6777675258323689,0.7083707034692746,1.0462959421507387,1.2486429261998215,1.3114025899310615,0.803302548004677,1.4161013269641498,1.8373451182920444,1.179558520462668,1.6868478918502303,1.5451171428515935,1.6701195804607523,1.6055759429237035,0.9868618658550771,1.1405906147488327,0.8659858935294612,0.9426978355396991,1.4805385992226332,1.0131851126947873,0.6417398489184621,0.5190352559864202,0.6802248023684022,0.6264248045918019,0.5430005229205598,0.5738124164302634,0.43969515887206373,0.5593000856203972,0.6216893181189795,0.714988043211794,0.9501791200829834,0.6958912034360034,0.7052959878827031,0.5478099775353639,0.7946449112598166,0.4706984022728048,0.39211871900147754,0.44769552785204914,0.5159966730909835,0.5045951236627053,0.619073985074637,0.8742198994456872,0.659219471664456,0.6894474594489275,0.4928753613387364,0.46327800631192917,0.529718065712203,0.4354367370569256,0.5080360734793612,0.39045862865722203,0.5348334527360266,0.47886707625264535,0.4079165004285344,0.4044963859274608,0.446976096105344,0.5373023770236844,0.44928778386132295,0.42880836886144735,0.5546578706309186,0.4364179597779226,0.5599294710646716,0.44541745724077486,0.501822201734655,0.6979496652019741,0.49958408065884913,0.6310160176035785,0.5854635711942119,0.5071902820473988,0.6603460766906278,0.4375482585521265,0.44167318609732664,0.3950917460957342,0.39792829181662925,0.41897175042108614,0.4300895624609728,0.5116103490910571,0.41972523567493486,0.536430447640264,0.4618051610385921,0.47576075062673817,0.49927913525803097,0.4499010996436535,0.38701387299805096,0.34719381297574536,0.4278240264605807,0.46184408088855156,0.4794572556748093,0.4689196610506417,0.4719170688444159,0.5703526179559716,0.5800714067791651,0.5655581134889471,0.49870615747616764,0.5268413263359946,0.5339431890837921,0.5893486056637176,0.5240004203277828,0.41768311350804904,0.41720718536484774,0.49082378084110845,0.6067807805813548,0.44678244222863767,0.3973839360983135,0.5572469197273321,0.427037700346108,0.43545170839269476,0.44116199080325424,0.42258238692511,0.42686246088990354,0.49157440459707996,0.4721936030860276,0.7849026498662142,1.34441347878459,0.9454600439186612,0.4755702755205753,0.39932418420446414,0.4151014477275151,0.4074654587981501,0.48472199422855905,0.4467583520485671,0.44429767762792277,0.4465340928227731,0.5061241235767202,0.5206573626726159,0.674382883915216,0.6714327500401407,0.9535855638019166,0.9833187562903442,0.7909888161146911,0.6269563620822438,0.49217906364760466,0.47475316344149715,0.4914344343767689,0.4853808751331477,0.45670092447823657,0.4999679280209523,0.5639631672147576,0.5221071192090498,0.49809636898971277,0.5836781868328819,0.4490868997554338,0.4714271950557107,0.5928893205312723,0.6425224658228835,0.8182135628519186,0.9661307899981209,1.1721552993744317,1.813965522667278,1.2420757479903461,1.0045537045135602,1.2344275171351764,0.95610092236063,0.9070779687581724,0.9470499924371115,1.2060760365993015,0.7543490377689196,0.7127626044129768,0.7032879680858266,0.5911712405608938,0.6572747852490953,0.5523868310840961,0.5173602633156171,0.5936412833638128,0.5621497174486654,0.5327296278933004,0.5528328365169547,0.591160312379136,0.5820849595063573,0.6813997242587252,0.6456597994184676,0.6667521135904756,0.790377965151034,0.939283526873288,0.8713987046243324,0.8122921940485458,0.907228198298573,0.7873072932841724,0.7038849724205403,0.7279358416172362,0.8690212871026994,1.2812984566611292,1.089738872933019,1.1876058954775415,0.893776546470677,0.7974639526395658,0.8268927057007014,0.9047850553773404,1.1475981061440208,0.8783866422404878,0.7753604491985205,0.9991519681625997,0.9915285121432288,0.8401402537862009,1.0574375603943849,1.1893058862987564,1.135616344510223,1.1195887682469792,0.8057625300527858,0.7033520277452661,0.7022472973417807,0.6440616524094067,0.7452786724754945,0.7923690601434767,0.8527875455059388,0.8003966033265408,0.7087493907669012,0.6067794967340239,0.6411844859030937,0.5534145829051997,0.6125425653236365,0.7472585088408827,0.6668934946721159,0.6417457104013331,0.7161985706360007,0.9537765680681319,0.7278270964558816,0.7176091342631226,0.6622791418043493,0.621367397880547,0.5858951746027491,0.6876342085398178,0.6981841639334186,0.6270885419739577,0.6966291957089519,0.7792507312779465,0.7564598274292542,0.7852022177642034,0.9710750905486766,1.1701781774980509,0.9340721181728063,1.1174783807993398,1.2973567651254545,1.3465153385959494,1.161200589975663,0.9539502845041844,1.436876720093297,1.3565019044308748,0.9573163134407673,0.841855148892573,0.6645185990604846,0.6726895150347533,0.7951597072099881,0.6919885731870581,0.9436386467582594,0.9511243966292295,0.8044284103039487,0.5358394856294237,0.5837462558957964,0.5057456220317408,0.547950820901068,0.5050029021232836,0.5369976907640458,0.8278647514662997,0.5560289565215891,0.5813494026154021,0.6023224707266485,0.4883020225806649,0.6574983952700924,0.8664807926936295,0.7744278715809418,1.2247582033091937,1.260084029191837,2.1793624123005735],[0.41518740995243875,0.4255142045572094,0.41369442995985606,0.1416856509423877,0.3605571028296032,0.39989192645923893,0.3613648277737333,0.402183277442706,0.4586184871650757,0.37052229229218586,0.3880381592548918,0.461107885537416,0.3768532768591028,0.3726463627376046,0.40080630813716045,0.3785690935171333,0.3930704140327601,0.3689121431430901,0.395508646517566,0.4087446420638733,0.487274496929217,0.6980020993842084,0.7430288599796256,0.8200963741103701,0.7069130241607998,0.5709801782555287,0.5192962927901851,0.3874234923025015,0.3795699385006592,0.367513890692202,0.36850458713586387,0.39154304162599485,0.43873088040634023,0.3965609067993118,0.39255342784133457,0.39007248388926435,0.39272010917546213,0.4517854558206122,0.41901368079011136,0.5577058921705274,0.7367881042207238,0.6440687764779903,0.6227563299790582,0.6534969549271006,0.9783675397193963,1.1971990158775778,1.2012504128828638,0.7278923735332543,1.4970975342072623,1.79318668816096,1.069426277044859,1.6407945296020305,1.4845960304386323,1.559932601349356,1.5695987010660462,0.9502291460586969,1.1379653789101905,0.799869873695445,0.9235299229286486,1.3879343568385143,0.9469321591564525,0.6123304976080295,0.4802637666381779,0.6524059630846741,0.5958313557696168,0.517357529060051,0.5344304484811728,0.4105938499258451,0.5392573186033992,0.5802731241506074,0.7012527758547341,0.9157900805267364,0.6624114535598621,0.6551092167399548,0.533948178467782,0.7932349828573081,0.44852556637965174,0.3685722489476098,0.40807903965479975,0.4542718296455214,0.46748097031575125,0.5652600197287749,0.9116263134101503,0.5558965171274719,0.6307542745823504,0.46576176701657646,0.4305057741935065,0.4944221120587523,0.4007025344253586,0.48369749820426444,0.3792891151260931,0.5317778614725993,0.4743371603593714,0.41461829097184283,0.41166353764294134,0.4552403686264755,0.5405710330402989,0.464021763967479,0.4405102669935588,0.5407307295329744,0.4293638853726074,0.5207303873227611,0.41409117308419807,0.4823622070768225,0.6839366910056601,0.4751313145909566,0.5761377978275257,0.5019852855350648,0.42607568182795336,0.6060031923995912,0.37591830056691167,0.4006051946255952,0.3778403955480144,0.3757485971416126,0.40534063214906274,0.4051667004316148,0.4946755010407703,0.36644803745341603,0.47328599778023767,0.44499236583399776,0.4352436128816938,0.4641067679741982,0.41048885953283704,0.36012665224279966,0.3445731457103631,0.419778008988339,0.4364378039113106,0.4376760721633918,0.40228960478382736,0.4156113404100145,0.4891673729412864,0.48448025848677356,0.4847402854651361,0.43231015828701497,0.45896711599911505,0.4889385130203937,0.5553015341975245,0.4701853118942443,0.3760563688833537,0.38598332825958664,0.46603462464737333,0.5507753494305552,0.40070234747387073,0.36459599245898583,0.5238424678613269,0.39375570887037953,0.3982580493650828,0.41675495042454674,0.4011184303763934,0.4294314132667723,0.46516505211717246,0.4696878043612631,0.7809003075051835,1.3410923985775889,0.9463409914170886,0.46707844665156023,0.3964326902870765,0.3974403218606266,0.38039623113119825,0.4441108182662449,0.41701189772251146,0.4139510097821558,0.41353621110445876,0.460146218010998,0.46273372825161546,0.6221364346212199,0.5938528571043081,0.8447184837676373,0.9091651984596155,0.7578541992370442,0.5776569742461772,0.44736391903917,0.4295949587786122,0.443707545062431,0.44743444502381285,0.4277089379752119,0.46533146048119434,0.5408809181374593,0.4687727124303579,0.4396568623793856,0.5271394928788625,0.4171091355481958,0.4302398160461166,0.5351750241483428,0.580394035524049,0.7618050934124253,0.9222152375447342,1.1413290102431448,1.758447124827207,1.144897896423696,1.008330335893069,1.180049058572849,0.8886263476809813,0.8216059975239566,0.7939742928269068,1.0444259571097407,0.6861368221025302,0.6007216012717319,0.5928338161275029,0.5010829265113028,0.5315873072219747,0.45971017235727224,0.43064812891590404,0.49784644303469083,0.46402158139967714,0.4734710936489874,0.494750195440953,0.4883487502386386,0.5091723453400493,0.5986006637161456,0.5347899408308135,0.5610386899779319,0.7278545654843085,0.8357890977261972,0.744216447017013,0.6853997602763329,0.8077247547196122,0.6414010159674187,0.5642731837160114,0.5963912986079932,0.6805015015358739,1.2864033492213407,0.940178338690658,1.1485304336571591,0.7749858821613756,0.6527523535707078,0.692064473425414,0.7328785386588498,0.9581017987346437,0.7248826815450883,0.614631438414169,0.8024814035542942,0.8157610508035698,0.6710878103734087,0.8961848764702859,1.0184020529374855,0.9727328387091414,1.017700820505113,0.6554606826591062,0.5942913095983282,0.5712733240103846,0.5311288845791952,0.6943831045930368,0.7464890224880767,0.8511637990070293,0.7525007673680775,0.6606036736169201,0.6119875205753342,0.6380377598033591,0.5305001569373877,0.5990509778239703,0.7480182692221593,0.6441605715608263,0.6098160910627188,0.6968490370054858,0.9260529785369984,0.6675880822899369,0.6400371002821647,0.5623070945261753,0.5260142046242279,0.4875325349297912,0.546332163943482,0.570735663717062,0.5035012264353068,0.553025193392375,0.6201972907074953,0.6249900305374575,0.6564524165754216,0.8020274606852738,0.9976689569504185,0.8166825819868228,0.9526977532017981,1.1458068527663132,1.2234539915299876,1.0764164756372308,0.8677006848519813,1.3049164244295313,1.2604405963186789,0.8012418310999581,0.7201624287964209,0.5561414313149066,0.5514010636757305,0.7068213518867708,0.6263363256477766,0.9022688892813383,0.9825475382394615,0.7362518342421517,0.48720879340628653,0.5086295912365104,0.43901957486737625,0.46176367776950816,0.4470926610472643,0.48021853822135396,0.9698266194202163,0.5577675736293982,0.587319759823937,0.693218638281573,0.533043510302373,0.669247388401748,0.7998034543506443,0.7395192519804092,1.2372559622101162,1.2833806043344913,2.393384366098045],[0.4681057525979855,0.4516964223274858,0.43008077981349563,0.22040731356671733,0.3318177808747683,0.41497524215976583,0.3435007112902556,0.39800180813986347,0.473668233638696,0.3963399948298934,0.42249243211283494,0.44912421992134005,0.3915007772225142,0.43626997765139175,0.4795846065979232,0.43885824761943926,0.46041956863773936,0.45862240007111815,0.5238352249474924,0.5301916042994941,0.6172591847463043,0.7956210491404185,0.8724383891611494,0.9368510214352281,0.8178245560190929,0.669817309951393,0.6296248483441471,0.4377220869847241,0.4089551129884578,0.4036519157046432,0.44935054210656017,0.38543447729447383,0.44247923893077146,0.44442077594521545,0.4087451223572408,0.46076321561673,0.41627824888364123,0.5099495870939865,0.48743350060272383,0.6026272086562403,0.8034901521120793,0.7243877722718554,0.7157183640665706,0.737066058229167,1.065010844249611,1.2815731836772293,1.3588900625111764,0.857511165359704,1.4741143098133374,1.843074791747607,1.2394498389572899,1.806002700042829,1.6233978010276084,1.7834727859036825,1.585926075394999,1.04666927036037,1.2149074774747897,0.8974413041904132,0.9291526418329271,1.5522860184208678,1.0367613443101955,0.7177029485176744,0.5682789676583638,0.7550791004192269,0.6978369700634904,0.6081022518821705,0.6401030839362002,0.5090280699052697,0.628418969534605,0.6711080536274683,0.7965265260751897,1.0282685421814526,0.7468708558311069,0.7214627630623581,0.6213874512579852,0.8547700289548097,0.5671085752583764,0.4781247001319921,0.5214624223865864,0.5482205341894472,0.4931720875844422,0.6058420492788842,0.8652945775342138,0.6363053531397878,0.6769609827212237,0.5114634376512183,0.4940814287677896,0.5442128412124888,0.48751625860264747,0.5302261060455397,0.4586972504171975,0.5983526116835298,0.5553438387933857,0.4861987453760909,0.4711797613842273,0.544723841400429,0.620347854734696,0.46142088656815317,0.43844855548062694,0.528951005368041,0.3949407783887059,0.49903192565588056,0.3852418068182629,0.42854538316020085,0.7168285114775892,0.4443326087453674,0.5143216777984103,0.5557386570432598,0.437692567802045,0.5564379005551668,0.36484666634660323,0.3554383270586871,0.33265482480552444,0.3427922943306177,0.41931036647785125,0.4661478122090148,0.5309929273514445,0.4549294472103346,0.6008062211567935,0.5346329513124792,0.5598134218510601,0.5828672176642666,0.5487259993912061,0.4270566757272213,0.35361062137035143,0.35097363496913425,0.39252018584650816,0.41302047029719724,0.403230002424121,0.46895168759929107,0.557919888023768,0.559798239437211,0.6103577483838473,0.5070658220175978,0.5565244149270232,0.5363486412701927,0.6499461842320027,0.5086112965113313,0.3984450595259776,0.40072707907060284,0.3814739876229828,0.5320175693626839,0.40223486028957667,0.4009415217059716,0.5969937792513885,0.4250827499313881,0.4276392906759785,0.4212404560741511,0.3598593029964024,0.37664013567924615,0.4120862597441203,0.4416182047557213,0.7207557506500952,1.2956164513591033,0.9918293625067074,0.42939222809774935,0.3878904310652279,0.34492340503469965,0.3486276053950034,0.4025207466812467,0.4044314416906031,0.41607861858489,0.45165091165910987,0.5002958495594023,0.5422728624162609,0.66071609262373,0.7004188964201404,0.9357756289705104,0.9788246794687614,0.8364166538558558,0.6824697989288392,0.49678931008618354,0.47859688576231163,0.44213496617507114,0.42975826695209374,0.4319474923987445,0.4414972658963189,0.5203346853495577,0.4840106417907967,0.4343746425392664,0.5446791533241876,0.42296845280468415,0.5307845312699754,0.6591428824010231,0.6527304055223849,0.7911855214808198,0.9157155613156372,1.148480871459666,1.7417729736214926,1.198902568934013,1.0220728316110481,1.3459705617563567,1.0554544579298577,0.9897416531723936,1.0062401052917427,1.2270626908063564,0.7915585178313298,0.7075069328820399,0.66472064926761,0.561616323439778,0.5901364094583813,0.5062176072935467,0.4691512284325838,0.5469454193254686,0.5184220951899497,0.5152041785798004,0.5220503431630876,0.5324818814554236,0.5391476193043484,0.6290053360875636,0.5874872944561792,0.5917164078744479,0.7344941807808959,0.8679340880324772,0.7758900019746731,0.7441463065442521,0.8071664848344123,0.6921963177923753,0.5934993280516984,0.6298059515396515,0.6921021350478596,1.2476351947678777,0.9625159872054844,1.1681132761886257,0.8350550545761705,0.707760462376555,0.7372283322951869,0.8176006704757015,1.003182305823244,0.8112936499560908,0.6785233382301823,0.8950074118657717,0.8786074200334864,0.7527118352311505,1.040630482673656,1.1006641446145353,1.0171520172545583,1.0475023686021758,0.717989832412379,0.6800484598359032,0.6556282054022801,0.5858472253712804,0.7137467907335484,0.7282909766789278,0.8261248114577395,0.7401706077868764,0.7039379009606208,0.6665267053778615,0.6941293995365732,0.5654102262348105,0.6034235948997138,0.7406806939572199,0.6486811729481865,0.6314863945635958,0.680646174224491,0.8972307338452006,0.6657905851630176,0.6359273824818404,0.591845611558813,0.5540609450371027,0.5478201454149103,0.6174643081791663,0.6265641197170186,0.5617021328133989,0.6216992752007995,0.6843853582866253,0.6791603108273565,0.7138355679718584,0.88143524876735,1.0443251708607908,0.8333374631385467,0.9867505081334045,1.2264180191996754,1.2854058308716465,1.0541002094295882,0.8504234878574046,1.440200682789814,1.4367879481565369,0.8762213039901813,0.7772673451614275,0.6276588798781578,0.6674522176123417,0.8180178989814557,0.681234047236558,0.8222679428757848,0.909862304570787,0.7183187688133588,0.49941205096594865,0.5518234625586399,0.40947469780305024,0.4912063877349241,0.46130155497210834,0.47771332140319767,1.0128985614824884,0.6226548600875434,0.6317438952192402,0.7819154061057096,0.6320192120654547,0.7618357724094741,0.8099566413335978,0.7329463478715371,1.3362827163475444,1.4405321869391303,2.831025420103357],[0.5377913027359773,0.5490342406753231,0.5222000341703942,0.3605702437411628,0.43614874003565024,0.3991469823240429,0.40156188229867806,0.4542696088440668,0.4824651120024035,0.4340013059429853,0.43069611590902274,0.4383512686542205,0.4525666481967691,0.46875524700717996,0.5201123158957104,0.48345923791933487,0.5170454312261081,0.5222054538191152,0.5588333883736194,0.5304977263225759,0.6190801301329789,0.6911308194394762,0.8279683118013663,0.8635912839140425,0.7331383093994661,0.6172456061028148,0.5425627997493666,0.4746031633177135,0.46427075082406555,0.4739971609894163,0.5391298322933314,0.46758897562117696,0.49580825778952897,0.5318714725338455,0.4937057162973745,0.5287247060866573,0.5039103087462338,0.5632461511988988,0.48382007830265905,0.5623757955691242,0.6421132809649678,0.5882854912144856,0.6230340075003428,0.8278500785171232,1.1831668877243426,1.403855414264179,1.5702452591492635,1.0469794716754057,1.542797407950719,1.8947110755436103,1.5027002921543147,2.107989829929734,1.8848286084977997,2.0626223827702264,1.5317949888276523,1.0698895295195974,1.3013067283093407,0.9573365631406241,0.95216535914252,1.5748673204364014,1.147264303007245,0.7513978449578252,0.6393297409067571,0.7781853463565926,0.681880155852357,0.6638565453480098,0.6811931529618427,0.5475478923626261,0.7039317071476414,0.7521357552917967,0.8120859544020409,1.0591076320639072,0.8052092040347264,0.8186462033054306,0.6408431347049479,0.8717665227282687,0.6114324208044801,0.5647088429356947,0.5924126004448226,0.606780156223509,0.4944220658954078,0.5665868164079182,0.9490123512223922,0.5969731328916414,0.6303798750233577,0.5247165752983549,0.4707308707632678,0.5739369471253675,0.5333206478713619,0.5837529028659366,0.5352090238108187,0.6981434618777221,0.6911630067883165,0.568431018980149,0.541045975403581,0.6015306583692138,0.6020475465656594,0.48699346157709034,0.4658939427852536,0.5765750308580693,0.4790572400394241,0.6028837468039518,0.4887185713668129,0.5192303935820565,0.7946842151207566,0.5247248826761082,0.5657029714558954,0.607923330728553,0.49666757434752623,0.6016549899097652,0.45759370569002944,0.42769697134332524,0.4245521462289744,0.4295277197810535,0.46564629638306987,0.46115883979042727,0.5100179978023867,0.4845283101167221,0.657162137980109,0.5557420277356686,0.564774884460096,0.5553744522429026,0.5143974371582446,0.4633978691787192,0.43844191423474427,0.44410432253593174,0.4683741209500005,0.4798937967527191,0.4787349041281789,0.585423103672457,0.5863679353812703,0.5834666344142374,0.6504237081689891,0.5618549217091812,0.6114329099070884,0.667955077347377,0.7198770064765169,0.5767863427272795,0.5306583808715503,0.5393766644356373,0.6161366506203171,0.719847484589829,0.5896775760275457,0.5298653009860611,0.5614388615624749,0.5181666862455807,0.4996066897354929,0.498434287204346,0.4319015413388644,0.4553838880315292,0.4663494155731523,0.5415953901348982,0.8057648746743734,1.3717441525176997,1.0931699085431947,0.5065414108048073,0.46130187877772255,0.43106519014050604,0.463434035832262,0.484828183378654,0.4934821970076513,0.47714080281376375,0.5504334141911195,0.5747778480071021,0.611074249164491,0.6914848162284356,0.7308114253884757,0.9402604413644935,0.9617068807067928,0.8407377789232813,0.7081133040959651,0.5913026264415938,0.5709525583515387,0.5190382030012273,0.4831445526237251,0.5285484504326232,0.5314790336687895,0.606205275196414,0.5294869333480132,0.4976633766452208,0.5783586740523814,0.5295957423518456,0.6207383348779605,0.687501755304758,0.639872100001824,0.7090730578232246,0.8202885351864784,1.1192335739126624,1.644215436422107,1.1653494550259644,1.1145096518163478,1.4458620523065373,1.1462377175644902,1.0223516167540931,0.9772439354990472,1.1686095820633229,0.7782139143510174,0.7172931519085654,0.6648908380823632,0.5886213098159826,0.6072008878315882,0.5550174813136244,0.5299624425117192,0.5834413995305616,0.5664209395092599,0.5863872312157039,0.5907754256696452,0.5900732209360015,0.6131700196971727,0.6837811275063406,0.6335993774848702,0.6548557808768607,0.795952641849379,0.903719039709597,0.8338063717380216,0.7686607908836086,0.8902961833323083,0.7692637828633253,0.6752222090239703,0.7045915103168481,0.7802025654318919,1.283031789874111,1.0267261527330096,1.205009917283252,0.8807116825001515,0.733338724734236,0.747704508026062,0.8214107215919305,1.0166173178671059,0.8192749606467005,0.6805843457447568,0.8971393460095426,0.8844277057504475,0.750313232491899,1.038392992623847,1.124231936707971,1.0337077319130188,1.0130893637013814,0.7154848507401624,0.6900759320211667,0.6535662560046955,0.6044002684901447,0.7348607072566647,0.7568025341762683,0.8465881506178127,0.7557565420370669,0.7566253304751472,0.757953776875104,0.77741872649597,0.6488235290346508,0.7051939947666883,0.8483389203372754,0.731204655535505,0.698009929167926,0.7649894187525735,0.9693505051231377,0.7337720586767584,0.7085207699295607,0.6704746503350771,0.6145429135613689,0.5948612563216268,0.6674601207040721,0.6786066739845479,0.618764108310195,0.6567740148161337,0.735912158544137,0.7333382567634533,0.7525364355894407,0.9146393322157781,1.0964481056205557,0.8934807743745138,1.0165505557755838,1.2712782661309472,1.346988601872401,1.1251405288020746,0.9194640504692705,1.4685858598991632,1.381963246059093,0.9462227629694904,0.8447692665044866,0.6710741706885812,0.6439481321304467,0.796743310643744,0.7337397846828021,0.9380733963790979,0.9615814261568305,0.7509060167149498,0.552593456327072,0.5865351787486268,0.49691599587449714,0.5879872746182092,0.5759054662287009,0.6225227639097679,1.244662279221722,0.7524438453151381,0.7652030508400224,0.9580364396005013,0.7515676492128889,0.7921705508953759,0.890983100339477,0.8518693865832444,1.2213285310828765,1.2711396670520505,2.5772901722974555],[0.5299224589951486,0.5453943093196973,0.5235162620287578,0.34757258862120777,0.4064842737654478,0.42920514560762907,0.48936750336721535,0.5574104028947661,0.6199340870203672,0.6256365991877312,0.6463762018281262,0.6123569388317762,0.6710764521138453,0.7217285141320312,0.7829523824774484,0.7334954862008429,0.7542881961335086,0.7813822278670187,0.808985212740314,0.7472555382117304,0.8242505574333157,0.8171952352393265,0.9623790261531545,0.9910361051343561,0.8398864823921757,0.7687079912643875,0.6706437809032482,0.6863124378925136,0.6999542694064302,0.6838587825913232,0.8058286612071407,0.6885473255893853,0.720773830442592,0.7866296063028099,0.7217234199712038,0.7562410913711733,0.6998460262536015,0.7242087200702149,0.6118929995586314,0.6363335756065163,0.6814598450394601,0.7162097029416259,0.7713288517062176,1.0320975374087933,1.3352867652874483,1.6369830631999056,1.8318199099043337,1.300843950215137,1.6976140574666305,2.0979254901204336,1.7829894678285036,2.3543290812311017,2.114074862471824,2.324952090717291,1.619353225567127,1.1988686736796286,1.3814764014558358,1.1123145028167762,1.073418385328282,1.682852113888397,1.2468657267665468,0.9047273960461701,0.8451527804931795,0.9650488388301204,0.8532630222906973,0.835174414282546,0.9235048556430832,0.8141593078589517,0.9739609245851931,1.0225047708219106,1.1012697507908842,1.3361954240103193,1.0877215710235681,1.090252254142846,0.9041709359893775,1.0366020222727714,0.8723337470320083,0.836017805803303,0.8364380817786923,0.8098972153222795,0.6570731015175073,0.6609502153116189,1.0141406516313063,0.6776413641111049,0.6860619902521461,0.648976952938073,0.6086062048738496,0.7044766160189477,0.7496865586427421,0.8050604897412207,0.8046365649263957,0.95526750980628,0.9614488265508199,0.837456605668413,0.804122082212227,0.8489664801571534,0.7918171790030379,0.7165334670729809,0.6681070788435771,0.7158123778791889,0.6530709099224279,0.6918141064592495,0.6188574904269645,0.6042719576326296,0.8720988308779638,0.5660920261073045,0.5742531506220602,0.5890118782636796,0.46464145185663736,0.5787338611530515,0.45547096309428364,0.46796514914332227,0.5018042450200106,0.5174324148908998,0.6560721787705175,0.6489696238482391,0.7218621671987913,0.7046049045249148,0.8877694079851293,0.8124250386001644,0.8329006331954671,0.817377659262437,0.7651479908245692,0.6803422895559579,0.599625839012234,0.5027353593737943,0.5038232592295757,0.5003082532976624,0.44645503623187477,0.5700863448091869,0.5385325348560461,0.5407555309153489,0.6391099768014535,0.5528861155220615,0.5835676407535323,0.6637989306433589,0.6721737288357599,0.5591920884937034,0.5471808794689429,0.5976951547014776,0.6931094313413072,0.8526794992609524,0.7569762857662914,0.670270644937629,0.6781086255771142,0.6890736972092207,0.6634731997487416,0.6554298809755829,0.5558468868148799,0.5891251589142475,0.5416522221332083,0.6363097023325583,0.8458762079326407,1.3693431360472086,1.1461908098635196,0.6367692753153529,0.6280863625269886,0.5595374518260348,0.6208217879646748,0.580719018875337,0.5737018393050322,0.6071804781467081,0.6380395147395715,0.6786424099280367,0.6673117364812717,0.7304883626022213,0.7567706129868376,0.9777114583027151,0.9261574656082959,0.8024912971921101,0.6844777415552523,0.6048204248658938,0.6080467968172998,0.5839156895395105,0.569357554288423,0.6069700701237677,0.641352775692675,0.6698895970763452,0.6114913849296463,0.573307526577104,0.6386582043194015,0.5746071685465343,0.641485866897907,0.7103542297255391,0.6560241479325688,0.723061506423953,0.8128756254737894,1.1256761352091507,1.6274228736230258,1.2460279925693645,1.1805040380223752,1.5554440048121294,1.2055689580700963,1.0577189952917787,1.0188547083196189,1.206511886762731,0.76794450103092,0.7125601822597569,0.6463596272264477,0.5534498249866941,0.5940880568717519,0.5061822633035503,0.47852160007977146,0.5522701003461735,0.5340888760224674,0.5429480686762019,0.5632006578218172,0.5734848165131704,0.5715739673007606,0.6557751230976894,0.6208969103596587,0.6357724641716406,0.7703808524443727,0.9069132368477054,0.8380362009196979,0.778863343068969,0.89414381009785,0.7962019236590997,0.6839497148819286,0.7133866482843462,0.8187550746445575,1.2773712418056147,1.0908971591710033,1.1765373822179843,0.8844623054343602,0.7497357856875311,0.728943536662342,0.8493306080100681,1.0624044349516184,0.8401550702009503,0.7025974610962877,0.976456881619013,0.9489139439724641,0.7975990281632662,1.0833669291713535,1.1848543701878518,1.0967193448930344,1.014768004664096,0.7279695543691518,0.6843240474526753,0.6479581783782311,0.5726868331265317,0.701160842011051,0.722303631339677,0.8116481089201544,0.7155549430379444,0.7076862617873071,0.6951332941811061,0.7260449423859888,0.5861938126591439,0.6354434365862219,0.7824852567915145,0.6709369177386965,0.6404433755554878,0.7075444521581883,0.9331353355510568,0.6987474706902495,0.6794377053329352,0.6462440126325428,0.5991923173034943,0.570967379321798,0.6588677630825023,0.6734176851409625,0.6079412256934138,0.653774870317829,0.7509810294241916,0.7388549483143944,0.7535671036969193,0.9534620831622405,1.1291257313256302,0.9011784743224215,1.0392687346843947,1.354534877983311,1.434874364569935,1.1542830893040759,0.9421404439190519,1.57857243483277,1.4590114284338351,1.0067678559759705,0.8811524628415988,0.677023777473017,0.647698530389264,0.802026879900685,0.7299400573168403,0.9314298003141188,0.9495049105589379,0.7586157056892263,0.510969312072537,0.5433892484590779,0.4172959514998054,0.5312556833034332,0.533289246117691,0.5677321525296473,1.24975963959673,0.7611486087625038,0.7371822399221084,0.9874470458116256,0.8071771115753011,0.8043631488963856,0.8946463481780615,0.8863941144968313,1.29272850647632,1.3500964236235953,2.7398267717270866],[0.8377947331400907,0.8066151853456496,0.7208194518196734,0.6546113599527794,0.8009540645249107,0.9558600561037637,1.097905864238142,1.2004904114242203,1.2215780866109478,1.3004139946666249,1.3155716036647123,1.3061898395618843,1.3636480369255666,1.3844862476732955,1.4264467979747342,1.4125824074087638,1.4344595896270724,1.4154157061600874,1.3783309475177592,1.3652000534044741,1.3856924763321212,1.4435726300182787,1.4753518698304797,1.435379766330064,1.410418367965122,1.3652517892042157,1.3513546531802805,1.367478537059503,1.4088831447743249,1.410603764508908,1.4510212266421383,1.4336533749245737,1.456972481766897,1.4665111461453622,1.4434424768971914,1.4241305933204185,1.429381329036001,1.4401594063180643,1.3134373496356164,1.2738169504892922,1.3074808484101026,1.3902290810035893,1.399801082585589,1.2633531241980445,1.4454987346808474,1.6961008663128248,1.8148625583462465,1.3938377159252833,1.8482992884422607,2.1244950445533766,1.7033637409262086,2.286595076278106,1.9111337634556875,2.0861312114744845,1.7361392136782159,1.2679648785020061,1.4265411684263538,1.5434673377518937,1.4921611266611594,1.7880719101285534,1.3747032240561987,1.3191027105524578,1.3923863447556764,1.5042728889587913,1.3631342107170294,1.3640338076161236,1.4210638944644873,1.427473825602145,1.4823616824016863,1.5229134107872848,1.5012358828994794,1.6298875753846698,1.4955287261890282,1.494912934033213,1.4973414048388403,1.577649206804972,1.457687766088366,1.4513317689413388,1.446160152421192,1.3764510687812783,1.3955621273341257,1.3775123050777665,1.5161046771842122,1.265378904743041,1.3397075429384742,1.3412387163376411,1.3559607734998622,1.4166587041841656,1.3798226950117913,1.4126555665906995,1.4471114452888507,1.5061760103938993,1.4869632591011799,1.4722463399503325,1.4585843751020768,1.4491881058576586,1.3861384834626804,1.41829606932346,1.3719709577157868,1.301025465041578,1.365160629975226,1.3452447756856019,1.343667268801218,1.309167634926981,1.3211823353257528,1.1561023846515563,1.1117343675663214,1.0774595024748082,0.914163627110168,1.0627162999395894,1.0137128573748007,1.097056756967257,1.1799480546636274,1.1895820619751292,1.3638793084889336,1.3256993636243057,1.3794975158123308,1.3293249832293157,1.4146344411651388,1.393282206725655,1.392636974776579,1.395790978710501,1.3708345723112767,1.351306678531627,1.2733794793411315,1.132425863015762,1.038785172459176,1.0251956538156426,0.9613338606461844,1.0502609668892,0.8949311213455433,0.9070668101594609,1.0137535020732558,1.0302457549920345,1.0466113538817376,1.1368450042835967,0.9893187268382945,1.0254084549839195,1.0735134229068677,1.2341098817612217,1.3065185316058114,1.3671511398873144,1.3491577151370198,1.3139239466547437,1.3742738491488578,1.3769755246972566,1.3605893444887958,1.3702824154427036,1.261327371269706,1.3034654310550782,1.1517523817723254,1.3210853541941103,1.5060559577869392,1.737225560295036,1.4642430315657637,1.2877667359780653,1.2943648143603648,1.2553585848944286,1.3343753087024206,1.2259706914534325,1.2332403975180903,1.3194261440708828,1.2554035304744013,1.2593353465648234,1.1664151786248789,1.167231030869968,1.13251500089108,1.1843449255124232,1.151446233805559,1.115391186221771,1.0571050597715157,1.110893812439824,1.1606653012725177,1.212111506107085,1.2564253805925085,1.2698481004680375,1.3268950803486965,1.3157820697221243,1.339129076009829,1.262926608184297,1.2784085766567908,1.1758632852922277,1.1505407823363987,1.1643307128757336,1.1572346159153182,1.2567715581184273,1.347707196251796,1.4820587370785898,1.8805793502404715,1.5487239460231683,1.385380018796147,1.9431534411730298,1.5058936786423098,1.3218626625069128,1.188944240002838,1.2390125762484332,0.8978877783818056,0.8727387907793602,0.7450252149905449,0.8002479312805431,0.7494335685716732,0.7886377563550928,0.7717326083249777,0.6956885502859818,0.7045150105640227,0.7700818835731573,0.6977032278749336,0.6828733715275659,0.7682204333008054,0.8220008370040972,0.7311370096567832,0.7567794176770473,0.916541581189281,0.9696013774754912,0.9183267597373653,0.861224685976201,0.9718888514868677,0.8334077435234707,0.7060809496878135,0.7408268353284125,0.73878530067167,1.2861319300797656,0.9633525102418534,1.2624440397791663,0.8587664726834274,0.7368776819318075,0.8083140795080864,0.8468256108097452,1.0405746359940784,0.8661019398676288,0.7156393621676179,0.9154258178478126,0.8974911212821283,0.7965526470627116,1.0837397273453144,1.1302033416721078,1.0281196529542282,1.0592672723939607,0.7648791170654198,0.7998554419416695,0.7230328863344879,0.7438227922299879,0.9472440413499553,0.9692245149188183,1.1259568530975548,0.9870362436155073,0.8538580262480369,0.9587840801529263,0.992372830189674,0.8210073985383773,0.8977133151170987,1.0281372811645766,0.9048685906789007,0.861575890348123,0.942744999700405,1.0847476011638775,0.8711779108573406,0.8279396683345223,0.7750308744558577,0.721024748191118,0.7213257327034174,0.7074757085680632,0.7464041555909899,0.7090705135892139,0.7414290487681359,0.7590464988520318,0.7554697163036299,0.7766913634643225,0.9060553909710917,1.0839035816107998,0.9016668197099802,0.9927580931266988,1.2541855504549368,1.3445596244349443,1.1153414856725603,0.9260030671392654,1.5137864055345223,1.5053364002972232,1.0259474982697578,0.9162079361135276,0.7434143570203036,0.7539943001353638,0.8936037655583261,0.7927900277533756,0.9519216376938329,0.9657047436483823,0.7517744541527239,0.6793856050857322,0.7470510509204825,0.8319407979848198,0.8751687823241533,0.9703861457564317,0.9889376658647286,1.5862846487646662,1.1355949782127739,1.0784556682468502,1.364179115969047,1.1923343547684484,1.0384320004848424,1.1499398919084785,1.3004853800170941,1.5645770028726953,1.7331363288827775,3.129786169415993],[0.6035581900165342,0.5938509602657028,0.5319656370604198,0.43359704477065664,0.5336763628663561,0.5498997310130156,0.568395983762389,0.5975727655797934,0.5586825888398522,0.4922444242962895,0.4697854531034296,0.48517138045724584,0.5132768117305971,0.4840573959694696,0.522078160154356,0.5184480775463043,0.540947561669949,0.5106674742676498,0.5285466569178137,0.5273784231906653,0.6022887107677072,0.6877331283064226,0.8207642935633039,0.8665620668170267,0.7321759195011805,0.6174952889178615,0.5480535376688279,0.47539819148857887,0.4859831115079872,0.5143167920476844,0.5259616035984023,0.5101355700488058,0.516777215666775,0.5451030043064231,0.5192487671519724,0.5491477139034623,0.5486040780277925,0.5608580652715324,0.5151807872438979,0.5696022315932409,0.640169973799949,0.6144429034450385,0.646133348309971,0.7985097624350672,1.1546431254488874,1.3590027780490634,1.5138329282715102,0.9982401902352681,1.5585876098404476,1.8749120757793385,1.4296322863823088,2.088899175508953,1.8063332640531615,2.0041815750769185,1.5264800607407847,0.9830950467510379,1.1770788813335669,1.0044793427075924,1.0123873943976265,1.4723905560849189,1.0639887148740512,0.7012240922203246,0.6017835517907104,0.7479711231831787,0.6652252670337134,0.6382198256578748,0.6353591196367456,0.5110223971141906,0.6589678377035476,0.7107091644546613,0.7840960048156186,1.0414586860789623,0.7591686050526537,0.7897627561313857,0.6125037429565718,0.8153463464254864,0.599970557843257,0.5591906805091941,0.5996338837086326,0.6050844336315017,0.5407120804014125,0.5772417931249694,1.0090831415736714,0.626388730269004,0.6697162170038883,0.5799698231473411,0.48773759635611186,0.5948451206127399,0.5449245675809576,0.5930826466818757,0.5389034506398803,0.6747555903588162,0.6675597202349824,0.5517861744193052,0.526549206679407,0.5664300193856344,0.5920897189333537,0.5186880828755823,0.5310221513048942,0.6380831957839915,0.5562119472936231,0.6944499376606134,0.5690919480786224,0.6234756971384692,0.8665230774451266,0.6551009551364689,0.6760260444672438,0.7102885150298799,0.6188046231986267,0.6803889939484963,0.6037340212852604,0.5637346845099444,0.5570485474638152,0.5345263091253875,0.5390404048704492,0.5057345430286883,0.5375955936524881,0.45481297441379404,0.6169755852365055,0.5282344346882123,0.5503064678827608,0.5908425908214305,0.5371538644540333,0.5260589871367221,0.5618986163192314,0.5792261810725208,0.619947538290643,0.6182886117740123,0.6099524746804215,0.7184122087570716,0.6679870483144932,0.6709640222880411,0.7490386858535266,0.6610693888348715,0.7152028049505059,0.8061411589047055,0.8254051750204839,0.6761600899785941,0.6210548021868026,0.6038497385066145,0.6667188528469709,0.7278121043960272,0.5784165706389601,0.5321166498000698,0.5479778194232975,0.5484461185183788,0.5441596928916956,0.5780700510514396,0.5315039836800922,0.5623368577978671,0.5663629988767933,0.6334168209458038,0.8544843627032345,1.3309159537941369,1.1107156245276242,0.5945706062240674,0.5686152207028804,0.5532172671225941,0.5627713980420564,0.5930425508082274,0.5812974797629095,0.5429764310232317,0.5969497484117123,0.6186585480074861,0.6626015452159022,0.7372250987783818,0.7868982967361239,0.9331316544249103,0.9791062496729113,0.8883102766720057,0.783412702892846,0.6775001116899132,0.6566267872910537,0.6055360401972689,0.5491750444768931,0.6030239987364634,0.597840618669236,0.653404678430421,0.5750503125975228,0.5786284290363294,0.6269578398551561,0.6367845006845209,0.7078487585364313,0.7466366346900244,0.6905607335179007,0.6956676919478257,0.7940123863315616,1.0927657327973594,1.62399624613513,1.1751544663267535,1.170868422662003,1.535648401686151,1.2558991127767538,1.1076635841743232,1.0054679131256679,1.1319668381493375,0.7894509359623563,0.7514879702439368,0.657198165917323,0.6367848244809436,0.6241201782334411,0.6225905728378949,0.5995564392307592,0.5891681697317808,0.5915472133507008,0.6473830799268423,0.5874652583730223,0.5868069701026527,0.6499630499377844,0.7078418225508584,0.6355479336621055,0.6549672121112142,0.8064333909041662,0.8704833118248844,0.7739692624411529,0.7486489082402921,0.8366456268734836,0.6806665538985756,0.6052056748490695,0.6369028474534769,0.6560085270630845,1.326744061580374,0.9213267618886455,1.2310553747811182,0.8393202780636957,0.6919108277493999,0.7382117248901424,0.7740890493797028,0.9551204756236102,0.7817638045770281,0.6634622285569793,0.8439402744198755,0.8344675122780768,0.7209736220931265,0.9998628402026294,1.027512870554422,0.9395746547943856,0.9468172929840067,0.6821493381694186,0.7137103949327174,0.6510718187409673,0.6568727762249199,0.7935438557461213,0.7724485029125505,0.8724051324042914,0.7759857238591511,0.7826287395772451,0.8449648281167114,0.8544968768095805,0.7221671668416866,0.7872933003099208,0.9141246028522239,0.7943149544551331,0.7683448322849729,0.813562408215584,0.9539722315938378,0.7443523392492877,0.7046702556173859,0.6685494268240535,0.614999064465869,0.6233216445173949,0.6244522026328775,0.6592486733289642,0.6060156265607983,0.6398773583160601,0.6779980134021523,0.6784555071838216,0.7015643836493078,0.8214579058963511,1.0357277992068337,0.825001942208174,0.8942354706823329,1.1473398223632454,1.2411196219707774,1.0133670443946377,0.8267611040120992,1.3961537659386782,1.3719592780018932,0.8411469815281362,0.7662101409495027,0.649342768218465,0.6723619153515398,0.8040781121823508,0.6831982636936387,0.7952082160734428,0.8663303695910237,0.6703308875182795,0.5518608405135077,0.6153661592062525,0.603317385620395,0.6967483213018956,0.7107848153136563,0.774916211635908,1.4138042948204363,0.9260160224130487,0.9315978412844877,1.1538386713911317,0.9428667403955545,0.9656333853199489,1.0105166451764438,0.947750125096568,1.4334591778869503,1.5742613645253096,3.039564679322991],[0.5199663688777384,0.5332794001732304,0.5440997899659307,0.3731390882081028,0.45240752177626203,0.4420654821012013,0.4505876084809478,0.5231653068972973,0.5431135969161526,0.5114141272803344,0.5281389180962107,0.5076495351441188,0.5424191172382314,0.5777596508381285,0.6460760248706282,0.6002977859680536,0.6211778702910139,0.6401819809020812,0.6747935925183869,0.6164983277331949,0.7118385662409936,0.7408916066128827,0.8926711702542897,0.9329759980315598,0.7755449578592399,0.6779415826728086,0.58911706176418,0.5548981549163589,0.571135826893881,0.5480747926310794,0.6471741398912586,0.5440037064224389,0.5712086647880589,0.6242049796039254,0.5818013620055712,0.6130219428000198,0.5645791597743369,0.6102723154503779,0.5037807361806047,0.565055502122947,0.6355019619122909,0.6386209479336028,0.6765989934866056,0.8617462351719473,1.1414069714032065,1.4189999325394649,1.6119864992545028,1.1047777528700624,1.5646909444476624,1.9773580664205925,1.6449841302960666,2.238351422853529,2.0064290210096942,2.258638482373261,1.625136760955235,1.1255158029331152,1.2559282803104697,1.0262579014472994,0.9759138216713942,1.6334766622719508,1.1343264487316158,0.7720762054345957,0.6925800763096038,0.8423503293809695,0.7381864046992325,0.6912919075201559,0.7826110587381604,0.6668106928167505,0.8154174595742038,0.8675944102479055,0.975971311163105,1.2290268559108541,0.9252673486052122,0.9239949965421079,0.763844820301306,0.9239679734209303,0.7142714751861745,0.6644568032227506,0.6810816390833566,0.6825834493754541,0.5433056408101297,0.588422684886165,0.9097833218307321,0.6691419549268189,0.6226204890089739,0.5387942603883558,0.500908719446392,0.5884965997643571,0.6098239121266867,0.6724265108143581,0.6441509041111663,0.7933816041441264,0.791440416676434,0.6798647079935891,0.6506346186080981,0.6959114418218528,0.7000725596054458,0.5942652562459266,0.5648108600376388,0.6049672868780918,0.538023262480476,0.5885345987957212,0.5269002244817177,0.5429875666440086,0.8426210752628182,0.530879617101899,0.5681937629236542,0.6031848510572316,0.48084648641345495,0.5387673723499066,0.4225299961053045,0.43274639416753374,0.4275872517495236,0.42886893553130534,0.5376510193430678,0.5589508275743575,0.6232780488773414,0.5875248779414518,0.7536662916206459,0.6878394040035647,0.7202445373490841,0.7334140294270242,0.701317376338164,0.5885550254231787,0.5097381907528755,0.44688701638797207,0.4807448704824747,0.49191041858750906,0.44255316138212064,0.557654449282724,0.5586001273637075,0.5622093504149307,0.6542896412781245,0.5470200602344475,0.575017848764557,0.6020198223099024,0.6911914925728192,0.5225825606888072,0.4605501972207209,0.49271660157546365,0.5309142403007713,0.6895688267446651,0.578367257672947,0.5156137459576108,0.5767890273827662,0.5445565399466156,0.5358516002322873,0.5396875327999401,0.45740590071662873,0.5095971028583819,0.4858828269500168,0.5565899187741736,0.7407927300404349,1.216314243380753,1.0580792705058668,0.541570319487914,0.5383160078019158,0.47644564428725844,0.5176285753048743,0.5167651337463869,0.4927381913614958,0.48644742511672384,0.5191271622913566,0.5774733468366864,0.5896477570440193,0.6678617631853037,0.7190657343105976,0.9129259792981639,0.9042097515069419,0.7876649305951898,0.6786954593549175,0.5525481853118901,0.5460513183487548,0.5142331715866763,0.47514541870677146,0.5132549236223498,0.5315157228591622,0.5500200094830172,0.520579650769072,0.5060889098830202,0.5822092013583102,0.535078201005154,0.6280980734567138,0.7007790993073332,0.6189176701464733,0.6802721673455848,0.7905341989603197,1.1023579118832725,1.6251393058364734,1.1946562420761624,1.1449959481365473,1.5214680523062944,1.205164665137014,1.0518534943956794,0.986660643345574,1.1461473428291429,0.7786692452592815,0.7624086565620287,0.6788184210755639,0.5968659691635854,0.6214028611177853,0.5512534564731044,0.517622360396783,0.5771788138626797,0.5586344518541148,0.5529484963547466,0.5748551553251877,0.5706544485076931,0.5782575403118866,0.6525699046115085,0.6254661266996099,0.6197271426219211,0.7260460525803086,0.8591697552606139,0.7699757031663034,0.754116278514808,0.8152061078971904,0.7500309994800843,0.6417700997945355,0.653986881717237,0.7459068690046282,1.2318546973508906,1.048453669023002,1.1614090362370029,0.889792899978682,0.7384414029646823,0.7317161432319905,0.8483169280643285,0.9567549492886873,0.814783245778586,0.7182419750577467,0.9573791717334679,0.911290154958237,0.791708992011739,1.0660325858360296,1.109467676593741,1.0245294513927496,0.9650353157087148,0.730080361228755,0.7249934807231538,0.6859900818108998,0.6180948407877046,0.7306005102023875,0.7376179691460625,0.8461985182390547,0.7446935986313734,0.7452930288166795,0.7286193078753787,0.7418532830543507,0.6159470870923719,0.642937421223736,0.7541195634930736,0.6553194121845393,0.6387878936691433,0.6784642131174033,0.8909385442123815,0.6590396762519857,0.6474509669802322,0.6278997075634412,0.6016415228670334,0.6037313997167405,0.6531134121910277,0.6464225915725785,0.5905264265730741,0.6369465825250908,0.6944719443799139,0.6879319751924851,0.7149815392739107,0.8609471022115284,1.0174702967258358,0.8197236548806265,0.9303972874767323,1.2784357419902366,1.3907035047052045,1.0903115701016814,0.9114217088823187,1.6008962377286853,1.5396967229431004,0.9554529514380905,0.8384774190187873,0.681525676752394,0.703023489919804,0.8301652626636974,0.7357206039581488,0.8505469267787696,0.9290458730283369,0.7547685595690795,0.5487773860111341,0.5825776868327127,0.39093239673349844,0.4923301288171095,0.4680744277659299,0.483111903452008,1.1728597244934282,0.7054508350133822,0.6752804588631117,0.9212229533472696,0.7606172257729752,0.8388308567532323,0.8533226275147155,0.8215604568696888,1.44414586226423,1.6546935265048712,3.2731470071104956],[0.5680668304207162,0.5399560612267629,0.4797135148692229,0.3948433669170491,0.47850373670332796,0.632886935607411,0.7313258249741189,0.8082818736659505,0.8406236466336428,0.8714840552983444,0.8950645568864786,0.883211330986705,0.9188499043507834,0.969650640239825,1.0486500202163147,0.9860670827223681,0.9725287249623645,0.9734933101336389,0.9322886243855909,0.8511139050171285,0.8908040711864451,0.8450031269071133,0.9767486901197996,0.9723492540518258,0.8481871009879329,0.8093171025717201,0.7484630184478673,0.8424831594678511,0.8969165505441865,0.8997731997187953,1.0277461407294968,0.9274786608583624,0.9518168172502415,0.9874358724931329,0.9349684734345176,0.9329807113960129,0.9073090765975337,0.8832501808427219,0.7165781609361338,0.6978925862332113,0.7182196879843528,0.7614618717571645,0.8016934804555239,1.1055644024749745,1.4256882382717644,1.7867329431969132,1.9581532999139872,1.4096293321107978,1.7801223235626742,2.1469832278781125,1.880471058718901,2.4916328332155944,2.2439637942490696,2.5416285480343705,1.6437729826251362,1.2693485411335859,1.436817803276819,1.1426762847646337,1.0810014304133428,1.7332912567632188,1.273075104472678,0.9436971359187462,0.9239844744807681,1.010354258130565,0.8889676784653052,0.9052467429541566,1.001944051873033,0.9568348289767274,1.0813484092347498,1.1679523794601632,1.229413462764389,1.4566782984516913,1.2011346318773708,1.1640579772158974,1.0533363050267182,1.166006167936608,0.9825700836369468,0.9747902105863594,0.9671442427500556,0.926761242962265,0.7889603495853035,0.7462126982338708,1.1202157503399672,0.8145047871748841,0.7703129565196082,0.7801573894249109,0.7276464857314043,0.8264410843672332,0.8802068252692936,0.9637414324178379,0.9696879994776951,1.112558501813974,1.1503613480158448,1.0669225043522264,1.0455391948924466,1.0803571164084795,1.0144217109298557,0.9681865064642684,0.9329888633433058,0.9508480000449034,0.8977431462178987,0.8925997949834221,0.8490270550433728,0.8213700866032575,1.0489971285702588,0.7695762424519355,0.7513364742703496,0.7049356531280245,0.5804541540141488,0.6760687220467849,0.6146528018652976,0.6701189754848105,0.7158679664052527,0.7158150997135343,0.8811208625448408,0.858344341962225,0.8985728560059447,0.8362739664213187,0.9846630899261735,0.9829176164467234,1.0190778594611085,1.0335476187465906,0.9764994464877023,0.9113244324482649,0.8358739762442537,0.7199528833544201,0.6841378614563629,0.6534732378003916,0.5783912452396456,0.7161008078589134,0.6065212866989466,0.6212213382963698,0.7303440752591046,0.6685440765881794,0.6828383923476368,0.7485674374527872,0.7150581885101864,0.6085470066882744,0.6098707428575565,0.7096063887832756,0.7724602331240932,0.8993625827143275,0.8244655764671607,0.7691677175247359,0.7746710211933712,0.8416491272253603,0.828924377745595,0.8557202451157093,0.7769660738992398,0.831484046195814,0.755681673788802,0.8885113771574049,1.0281389984619635,1.3632015844247953,1.287551115720422,0.89307756081263,0.8925869191256678,0.803570840604139,0.8602696018139168,0.7908352120532097,0.7592881200958659,0.7589325801248538,0.7478817903832761,0.7875402059443938,0.7509401201982607,0.7865656220853257,0.8290659795888137,0.984435628091725,0.9113579891675032,0.8292752284314745,0.7536399642540239,0.6954855798175359,0.7299638102966863,0.7470198851056178,0.7339169611859317,0.7762846627529085,0.8071457810255456,0.8093919818035694,0.7616634426081274,0.7435184777988478,0.7796083996347648,0.7599916901019366,0.7827792440047383,0.8165439074361066,0.7492208153856517,0.7577509784808218,0.8242375609175047,1.1926306922971335,1.624534031302657,1.2857152821985502,1.2647590843123906,1.7064054762659386,1.3080112762990657,1.1074588576293414,0.991632936285682,1.10583571238005,0.7656152587641057,0.7609411326017627,0.6348082579142458,0.595846547984794,0.579488650262349,0.570018410552435,0.5357441762922552,0.5215444871594785,0.5137224001123777,0.5562896944088317,0.5201256677321638,0.5085221678120037,0.5652954114882071,0.6395565849711565,0.5681512700882494,0.5784566624453125,0.7387226644605769,0.828212428588532,0.7219052862132571,0.7047409484927124,0.76989979239284,0.6709557709982302,0.5579920051466677,0.5748706133511983,0.6481860972974928,1.2262959306053418,0.9702002881414824,1.1494125187943507,0.8487710310137635,0.6661226338535637,0.6617263779974578,0.7746846066520318,0.8766778837418252,0.7318233717207714,0.6686128573452613,0.9131509037261722,0.85870719086489,0.7346215350721506,1.0193588687906119,1.0514586343939756,0.9756700826186616,0.9105516125082644,0.6671562920280723,0.7124698438076787,0.6580329220155373,0.6152719340373265,0.7423070030582796,0.7394404409148705,0.8605814734744607,0.7413935631150502,0.7433714691923989,0.7914073946516313,0.8092221874071942,0.651178938452673,0.7169803892065839,0.8588989734299648,0.7158023555235427,0.6825282049166271,0.7424674220561077,0.9135898141883805,0.665871267314634,0.625730071762168,0.5889671535113652,0.5328223351496362,0.5641940504343194,0.5939279344762262,0.5707890351306605,0.5228479451267107,0.5702481728290957,0.6191329155312215,0.612961872814431,0.6403018545025266,0.772119401757184,0.9593442186639377,0.7640974817204155,0.86306335713517,1.2415124719836168,1.3623272398065296,1.0478989075110452,0.8496589070938704,1.5591907029889467,1.5001001421789137,0.8960485425029985,0.7736431446486686,0.6068596215230989,0.6507179706270069,0.7817190658153695,0.6654201969030216,0.7963944330843122,0.8671218006335744,0.6723921289194777,0.48620645275655516,0.5484323487662527,0.47198895198414337,0.5987074607230092,0.6254071127499861,0.6837257479677857,1.4127240054027332,0.9118849949661553,0.8887560756041814,1.198829048886764,1.0284691657014164,0.991362889250507,1.0170316597706885,1.0226627469087066,1.6523874569428547,1.8552176034260333,3.48622894638488],[0.8648934659629003,0.8040346406173571,0.7555847936236618,0.7118169097157675,0.7911206409103447,0.9366662037818628,1.0193050500328211,1.032331810562853,0.9578268949175688,0.9030561538747001,0.8341123783246863,0.8668880404370909,0.8776500020266492,0.8178331052837284,0.8189384572179466,0.827272099181902,0.8303381494786926,0.7309016128071945,0.6424352536156888,0.678726869906314,0.6881450353486628,0.7579493442465134,0.8763394753934792,0.8994286382068362,0.7967610284052203,0.693977519849494,0.7019857645774726,0.7040998407141781,0.7607674466536053,0.8394147596450776,0.7952108832886171,0.8458723844947555,0.8267687713280798,0.8064287841164515,0.8163665215365333,0.7948946763201651,0.8860667841635533,0.8162471959388858,0.7519700696705095,0.768201171350093,0.793970859117087,0.7339442957288664,0.7592159407441144,0.9590327575763151,1.3490353294028017,1.5690046314399562,1.7210668831259608,1.1947432273209653,1.6959358113555425,1.9458439955461435,1.557473110037744,2.26379595482111,1.9736558762727963,2.1839613059589125,1.5075441914636791,1.1169356403596185,1.3639178598817867,1.0676279968037823,1.0767381812974977,1.5871085978454225,1.1997254647882774,0.8340609907074814,0.7503776701753017,0.8254908307245353,0.7475320343165022,0.7692251969831647,0.7297109203673898,0.6627609637097285,0.7380909977790495,0.8408190617863724,0.8583555349833428,1.0701923556112667,0.8473840071345851,0.8346365982066412,0.7241193852638893,0.9258257431903829,0.7527481565154117,0.7562122427525496,0.8046559107854062,0.7952754515103201,0.7941368737736132,0.8049843161078946,1.2197605113538856,0.8761670701997994,0.873172660350177,0.8425306019698101,0.7288010779783632,0.8595077238356826,0.7570192439495794,0.8126322495069067,0.7392600071674499,0.8365262787269875,0.8634127704949554,0.7984003575255064,0.8015914426691195,0.8151431546803498,0.7915706290701768,0.8260211975663012,0.8762510708509693,0.9845863789911556,0.9265713475532066,1.049478046922101,0.9620621196487376,1.0334795970307427,1.2093098420503243,1.0657539494803694,1.0791611864193313,1.0151143253927162,0.9338122810601158,1.0021237778636525,0.9643289150388871,0.964189890336551,0.9915054815956726,0.954313067135016,0.9581381288319871,0.8868658932456673,0.7700775286056345,0.6424794453422564,0.6864250344962052,0.704772068226422,0.6874323972030401,0.8035243514145551,0.7985691958974108,0.9841204067910416,1.045121042067521,0.9827502687823569,0.9899334726982404,0.9439169785454943,0.9123879808498049,1.0090998491703294,0.8894801326522718,0.9002801915346164,0.9647605483913724,0.9197274976131744,0.9648970077972544,1.0539433073126978,0.9657932581462004,0.8864325638721336,0.8763093033497924,0.876598137707732,0.8989827063123543,0.9174201195765245,0.7708375128144254,0.7829838191083055,0.7714541290469021,0.838191285820871,0.8717139018278561,0.955351207575812,0.9692291284928809,1.0189030773928374,0.979184604840589,1.0797896695270033,1.2536367352814046,1.4983570530488424,1.3395707993640067,0.9999005307378612,0.9810834836796528,0.9847788076166131,0.9706232020446249,1.0335166750122782,0.9893386844343102,0.881645725310282,0.8933795605791491,0.8849678879921351,0.909481307506555,0.9199095486696349,0.9690502642185518,0.995067283817823,1.0281181441715492,0.9970645611444212,0.9585911515288439,0.9264566595902087,0.9456796403969656,0.9460846847730502,0.9003758619180444,0.9522971732526921,0.923274573272202,0.9423094147804832,0.8843734632382129,0.9275811681207988,0.947389436688118,1.0018647441436561,0.9949083530946159,0.9780428260938907,0.9234804071601269,0.8582950037091894,0.8908128048181364,1.1666155842615498,1.6066981613863702,1.239656339969468,1.2700298501206633,1.7680577672804596,1.4067821807184884,1.241245714963408,1.0980305473348964,1.1490044837234072,0.8767772740785046,0.8892667285049541,0.7817333097605929,0.8521295191988986,0.8102592479999631,0.8818855034858525,0.8476497375900404,0.7561973228126205,0.7836340609743468,0.86538513510456,0.7543914005450318,0.756854047989969,0.8592230798995186,0.8856658210465077,0.7840641573085617,0.8206355131162919,0.9604511652076986,0.9652596906458639,0.8740731588124444,0.8574275420807183,0.935635681523531,0.7411649916536462,0.7067887017662461,0.7429377542521834,0.7555775737139936,1.4700426214424052,1.007808322392488,1.2614021563239828,0.8835623334974941,0.7735328904542278,0.8735710584020718,0.8765169186358575,0.9842482604723138,0.8663258448391274,0.8043755845065449,0.915165624210609,0.8837277465582039,0.8083127084371476,1.0641186484024396,0.9635500427388153,0.9307962826942295,0.9707956623499903,0.7748801283999449,0.8671050411741945,0.8078985017369728,0.8841730288335127,1.0016152427528502,0.9673918513246837,1.0986224449431783,0.978685345321033,0.9574217046166092,1.0616124038514496,1.0521800418786884,0.9420937711009453,1.0272257914852325,1.1373783612277284,1.0027601896673093,0.9746292360322516,1.019946082365169,1.1310147022776875,0.9471320793589298,0.9064858495379534,0.8654233999688333,0.7968959031988888,0.8255558830830863,0.780520716415283,0.8003092448424014,0.7795321070391028,0.8040572257724801,0.7912481843658911,0.7864902927479908,0.7970430399677532,0.8571102313152401,1.0640238220740903,0.8644384518457324,0.8816344854414356,1.1240831667224687,1.2246959085868534,0.9883573569554502,0.8419359594626363,1.3906321018703203,1.4087629561408441,0.8435932986856426,0.7997796257760645,0.7319000618894937,0.8059858617304159,0.8799198488375444,0.7414762102609925,0.797336612022516,0.8413839858230372,0.7093943171323915,0.7014754193963019,0.7834703428191491,0.8697617725876844,0.9660064596982061,0.9992452652922614,1.0719222848427459,1.602099856266761,1.187766769878891,1.1971795401495426,1.4109027772908669,1.24843316108382,1.2418723934021052,1.2281268709255015,1.2682158625763778,1.8547780523187412,2.0564276545318214,3.635130072318761],[0.5232822912394713,0.47689389335070814,0.5040976215544476,0.3839556185990024,0.4353545796484956,0.492954648271555,0.4950612372253451,0.5359553621385428,0.5310316352421431,0.5131982620689333,0.5465473140734849,0.5489561368083257,0.5354490335419789,0.5562316349594173,0.6221935018314358,0.5721074405198158,0.598641293048417,0.5811346225271499,0.5814249451010758,0.563239178613306,0.6104126950810349,0.7071478693087476,0.7938122922370215,0.849534190705712,0.712949285649511,0.6167559817398731,0.5864216018307429,0.4988115991404899,0.5407621016093442,0.5206436929400132,0.582838859501418,0.5235642803703395,0.5370499224544895,0.5606166703789244,0.5428014855580849,0.5596924608582843,0.5360984385111877,0.5431162189875118,0.4457153919867839,0.5024601448636599,0.6095491492183515,0.6161989083793463,0.6071350406401406,0.7106418302397174,1.0041994954790554,1.2317132875662695,1.3510185198540798,0.8877411464955148,1.5083344642556353,1.8329794424437564,1.3731050152249258,2.040434594944311,1.8083833597758323,2.059092362585121,1.5351143505032334,1.0036945242955353,1.1912788846882496,0.9134395109620047,0.9048366997025936,1.573038276982252,1.0514387559857736,0.7137359236315989,0.5981706607696402,0.7622950090581645,0.6692927570731145,0.6015705232795244,0.656428356012303,0.5742365108568122,0.6875712842702025,0.7551572334557409,0.8744765478283875,1.0855647626850016,0.8005183647071621,0.7832840052457984,0.6695483622737088,0.8411867716620137,0.617458806807279,0.5721649918517292,0.6111021819833875,0.6217520688989712,0.511871249649218,0.5486041919338258,0.8971889285354798,0.6150718127229006,0.603665578227918,0.4833619345688985,0.4570995176631755,0.5810284033872704,0.557857676156415,0.6197400760887096,0.5744990254848388,0.6941202197865171,0.6775194258070889,0.6124087536841966,0.603848486154274,0.655072880761556,0.7228108442515403,0.5770398116672106,0.5509153651511611,0.5746003867075248,0.5069684779161031,0.5626626910650447,0.5225410591052877,0.5283098592751574,0.8020742770733856,0.5215894478656584,0.5562641587434602,0.5478833214624154,0.423973741307681,0.504985779481531,0.4024706313758655,0.4304128706045757,0.44052332109628123,0.4242262997327313,0.5573016122509087,0.5948952061468423,0.6358663950326254,0.5457532058722083,0.6722418089300007,0.6610076821711016,0.7131510383105771,0.7405873075298838,0.74539803986495,0.5827778697863619,0.5299152622704372,0.49563616812734385,0.5200476662841842,0.4695785515675159,0.3987413459773133,0.5287257201636606,0.4898046460570581,0.49647651580271684,0.6187388776487321,0.49056997923223417,0.5511019249292274,0.5895092636251099,0.656265523794502,0.4699138325967342,0.4007599533104912,0.40862871205072676,0.42065296650170847,0.5463407260556721,0.433563383917266,0.39826802901061403,0.5241007077942225,0.45867866966242643,0.4673765311343514,0.5120975458434358,0.44195000197188616,0.5020035768024615,0.49598930123554974,0.563566156678219,0.727334504279099,1.1682466718676088,1.0346542645910024,0.5276582195102886,0.519869682618832,0.47566858793941236,0.495342566191458,0.4899134053851991,0.4536500507654651,0.4122720943953694,0.4221116025238697,0.4787141556136169,0.5089874047222052,0.6272777939607902,0.7005802796157174,0.8564682235805395,0.8677443079809329,0.8111141957104843,0.6799321777121468,0.5245445662383048,0.4897949527214364,0.45406117903204674,0.40628003024137777,0.4462184323032248,0.46949484614702985,0.48801501541934056,0.476618825851248,0.43112396738403475,0.5128465084157379,0.48618728225048674,0.5664534768041695,0.6298269595957094,0.5635737453594701,0.6101549450371785,0.7388249106941382,1.0186117466037594,1.6132774043406306,1.1098746624108886,1.102454482575186,1.5357864097613299,1.1883336447432427,1.0155561337343666,0.8698911690178532,0.9696016359938902,0.6556171163216724,0.6656061716775654,0.5389398644957426,0.4965128231193635,0.4941740365560033,0.4910484562755459,0.4553636232507555,0.4627038369439693,0.4588190361673387,0.5049329891566647,0.5081899548393706,0.486867465260847,0.5240600113991294,0.5947078171341665,0.5487325100918095,0.5458580642078881,0.6719845469946977,0.7710593041648923,0.6610854320865907,0.6702760103673256,0.7286880905926765,0.6060979077962471,0.5113424799334304,0.5285145837980354,0.5602563602183919,1.2899071376205014,0.9285245919066121,1.1238857958041137,0.833015080930203,0.6026492121542673,0.5923465016864314,0.680110757080606,0.7439525554516144,0.627220192290817,0.5888832278888309,0.8035442896596053,0.7328908083992139,0.6195558566890906,0.9061479721589037,0.8519905009837557,0.8025944574335492,0.786060643447246,0.5712109171443284,0.6334404442371705,0.5855367982409126,0.5691507482473445,0.6974670688552052,0.6891125627136163,0.8103764017787456,0.6793540898785836,0.712509328635495,0.711734817960304,0.7006956193392733,0.5711868130561871,0.6158599993268882,0.7279935951195153,0.6073673486227933,0.6044622366887614,0.6515497687032342,0.8583706635351581,0.6242237240690107,0.5896335752571793,0.5542797516726288,0.4999077174661679,0.5282676752157791,0.5591244137150859,0.5023567644077769,0.47543184397682886,0.4958694130488207,0.5206450961002657,0.5411128987823843,0.5504676743578509,0.6404662064138508,0.8538221979937806,0.6812361175092074,0.7147958014118713,1.0817226923159051,1.2330710678793897,0.9502203326545858,0.7741935257107205,1.434773383059999,1.49882007252869,0.8183785362132717,0.7262982013973687,0.6033437920874513,0.7199955517376675,0.8052730021100323,0.6641299118692059,0.7057554084411198,0.7981993758089649,0.6103039787116995,0.4253877119852601,0.45693188553324576,0.33318839017909185,0.4492218766157562,0.43706194259212666,0.47216935546781785,1.1554359009762798,0.6651770744794565,0.6356829007797133,0.8938014228028561,0.7189400251329336,0.8535641524373558,0.7745686981245717,0.8604693218056361,1.5777926985807165,1.9697301469800095,3.7589990429196605],[0.7970667929690385,0.791519746761353,0.9037318132239479,0.7592754917290202,0.8305365979634526,0.8244224192113062,0.7971093879469087,0.79976898108519,0.7988566018232384,0.763890515301049,0.7921317883982053,0.7715279705475417,0.7627325067904696,0.782980399518099,0.8319101244944623,0.7800104487248243,0.795390868613912,0.7826243792611217,0.8367143040871169,0.7509964749974145,0.8451965589307179,0.8618316576820145,1.048890637324654,1.0872231911013326,0.9000363788940505,0.8221634789065965,0.736492674130011,0.6931400124557343,0.7164320398559751,0.7087603436895653,0.7819098351341864,0.7053126615519488,0.7045638620753975,0.7596642696714375,0.7113361001970608,0.7278864382878548,0.6706713353689099,0.685507010191199,0.587400780055661,0.645257350457355,0.7120521402571596,0.7354182600065094,0.7823234998017594,0.951817779346979,1.1916701369116067,1.502000891812843,1.69315503873622,1.1949552247384707,1.6046540851676818,2.0309461823479964,1.7723755666126044,2.324748487268682,2.0949978447250115,2.4405307237785587,1.6699164979611665,1.2107396017524927,1.2802558936006723,1.0856385582319839,0.9767818995292045,1.6944848387346512,1.1743013106849705,0.8665982780013792,0.8016393538517597,1.0128625546997039,0.8616052680217294,0.7717178712508357,0.8928203368645508,0.8033516568154478,0.9637085025292547,1.0261471218814453,1.1569692140325483,1.4115987310097753,1.082056948653638,1.0554849483082467,0.9158145573358821,1.032957626231247,0.8377604617769419,0.7818916509466716,0.7887673106581339,0.7832574896604159,0.639917969153275,0.6850886391433264,0.8953608446505175,0.8269631206453015,0.7501629862274178,0.6154425520948202,0.593182900274282,0.6897931602589688,0.7401067104315794,0.7971914702342476,0.774428610790243,0.9145462728124722,0.8943750266195774,0.8154275334364914,0.8007545180309047,0.8616373876313411,0.9296356735730312,0.7847957534973746,0.7706277758184338,0.7753116678308711,0.6938635567457244,0.7284203268939403,0.6780457372264563,0.7082327162982318,0.8471088319032384,0.7314446936788875,0.8220669713818126,0.7798954579404556,0.6871804415937507,0.752629191100631,0.6956121468707489,0.684680444639235,0.7090482462320752,0.6780267970625853,0.7896094215527001,0.8136029308223575,0.8077166925478865,0.8043146617467162,0.949699448600598,0.8741410556619774,0.949143449568058,0.953867172633047,0.9457752547696067,0.8234976549971175,0.7959707459515981,0.766754663035969,0.8087675645898635,0.7068698836621362,0.6953511923541441,0.6458251101901789,0.7016488530241121,0.7115355039026707,0.770317774900144,0.6235632474905203,0.6584208514468533,0.6345112337074659,0.7565387670294821,0.6060222015492897,0.6253075877947697,0.5424935367367459,0.4347834605447761,0.7113639156946344,0.5892726423311114,0.5525933600172771,0.6307548243413358,0.6169534178344503,0.6447663771020519,0.7111900945928615,0.6703922770350308,0.742665656046529,0.741164135173466,0.8164392285767588,0.9282471954980631,1.3067180633965905,1.2148786566543313,0.747782992036125,0.7435057672719326,0.6968009570806767,0.6874608353539934,0.7035510843257841,0.6250021378008257,0.5619683126632432,0.5135523745739989,0.5733517487794727,0.602417119561091,0.6747879498985475,0.763760134028755,1.012687065933521,0.9832653602153264,0.8505100033386487,0.7188673654239954,0.5824256350850041,0.5530677918013415,0.5610902870201423,0.5418687858620591,0.5659560101548373,0.6275171110687571,0.6137347396789004,0.6245818148157817,0.5782516148446314,0.6424887933150696,0.598988371896137,0.68202001677866,0.7568998839908717,0.6668631676013396,0.7436647788143944,0.8386170612944785,1.166773348697632,1.6423626918643894,1.2920989549298145,1.2078663291022445,1.7718037859649982,1.3238944084200797,1.1440203636586965,1.0626099346563829,1.1844700701558053,0.880852780842066,0.8803888727288582,0.7989341384126295,0.7370708022081431,0.7788130713169853,0.6820212679718614,0.66907592197241,0.750157071179773,0.7274217596932903,0.6915333166862627,0.770897507621503,0.7399528016554036,0.7250897580148276,0.7688722183586536,0.7416688819260979,0.7346705044313334,0.8049967852126088,0.9075530456162356,0.8301485260478594,0.884537316520655,0.8697501144992161,0.8645254292811845,0.7915517380482929,0.8100926429220184,0.8693659664274861,1.4338913231656991,1.1523879120172968,1.1751963603640252,0.938984591424473,0.8485245627068361,0.8401055923196273,0.9134923761686004,1.0824902653594581,0.9343365940599326,0.8318852128632297,1.0690696111010292,1.038406496378071,0.9268162996869294,1.1713095919169791,1.1599620409941087,1.1149482548075642,1.0626391979538505,0.8746973984662281,0.8010399707731903,0.7975953889239918,0.8067783109583829,0.8490895802009163,0.9223074379378563,0.9454073480789466,0.8470728630832155,0.8828826137277418,0.7702219244983615,0.7479862828073968,0.7072300316808168,0.7060029779105028,0.7824365726703487,0.71723313771979,0.7097182146976546,0.7617823499245658,0.9490019922689072,0.7864000374265575,0.7723358124269678,0.7848299343887006,0.7393357430633689,0.7606598523186494,0.8129398319337094,0.7913843315171096,0.7521912124398774,0.8312328541155471,0.8584488962179723,0.8542656172086786,0.8654638550475143,0.9729589519158908,1.1775413617798915,0.9852436497144859,1.0152665404760377,1.3874960061348443,1.5038402576273218,1.1899530852523181,1.075266659848267,1.7252512235579847,1.6559923961477707,1.0388755927133146,0.9412807414598667,0.8210662571326177,0.8591894939085449,0.9694419367571208,0.8739438672493358,0.9635563413269436,0.9897592910087144,0.8970456314985527,0.768504736163791,0.7271187652451617,0.7157673944807038,0.7140999641280472,0.7159213221025446,0.7191184024059538,1.0376440695354883,0.7440358942323452,0.7257800084243594,0.8274175652155602,0.7537658924842409,0.9719194959750936,0.8612379476379048,1.1206618610872228,1.7358327367337552,2.052563328905798,3.906062700143594],[0.6863084683375148,0.6457988303641126,0.7101388791272065,0.6229095058895595,0.6601797763590205,0.8380700007319375,0.935531429157462,1.0166309368903472,1.1912943747264093,1.2815531704588967,1.3786438027808636,1.3395474626875497,1.3679183175342877,1.404903306555337,1.4813924045465083,1.4375324198405355,1.4369535164452616,1.4211869552520024,1.3622642412885393,1.2753403506384133,1.2403098664759717,1.1647500676610776,1.2337658961936884,1.1735399105494535,1.1060593972851742,1.1669279708301084,1.1703026784922925,1.2552459099986828,1.3138149411662607,1.3268562551233525,1.442097504643924,1.3634313340337614,1.3799822090602296,1.4590610204123047,1.359665239633375,1.3566898459777046,1.2283615481311532,1.1658562065801936,1.0537490806645688,0.953168564906639,0.9733451802386982,1.090855251037504,1.1078829374382781,1.234142387704076,1.5272860182892314,1.8605708261506884,2.0153145365461955,1.478233929679778,1.7500058793662208,2.110115106279445,1.8988969939955744,2.4280514340387658,2.2383806373979205,2.6496993951711936,1.7987699480162012,1.3912799923730172,1.5027229995028344,1.3712520915529598,1.2489895360054037,1.8105363182178416,1.3943330983731226,1.2538176460768788,1.2592760259988152,1.3491099175851298,1.1608526019723855,1.1934931321021656,1.316387918155875,1.3792009221320387,1.5098909534040614,1.6528860856890948,1.6889699959497133,1.8416035255376175,1.6364514127489855,1.5707752148572012,1.5299844652326395,1.587959816646891,1.3882479608272338,1.3801840152090001,1.3555609673628664,1.2260585875255798,1.1425196332352192,1.0659976751192,1.3097695302725167,1.1353337762286455,1.0535083531226124,1.0634084901779992,1.1015286565542424,1.2115638806108886,1.3141160068841473,1.4019751611456597,1.4350108225036837,1.5302032462035065,1.5189050238610782,1.4766750488153997,1.4683712058770617,1.5145181348611103,1.5840758942368993,1.4425567663034846,1.404326736042194,1.3878419885780464,1.3060826749266097,1.1975715917651366,1.2317230224482598,1.0884543217015874,1.046204261435027,0.9195779568941096,0.8727537282690114,0.7417492063620762,0.653638591035483,0.8664357705132462,0.7621195975476938,0.8534653391156831,0.9564631883518216,0.9631517020880239,1.274593481488292,1.263655618279066,1.3723096454787522,1.3593168943941996,1.4546748073578364,1.493577302608717,1.5840164499054106,1.5560986995524897,1.4453411240015448,1.2168255792326559,1.0581823512680428,0.8553567421628118,0.814133762158956,0.7316820110281518,0.661089796768832,0.7294847376767102,0.551700413878048,0.5482898568625181,0.6512208616405272,0.6392768822716063,0.6126222871661664,0.6770741522009444,0.5710363459276435,0.5331752038580562,0.6010129959969295,0.6981158280754985,0.6083925902940535,0.8046705026583744,0.9278913224019958,0.9558171676966111,0.969867508499564,1.1265509568682741,1.125318810671531,1.1893483381029648,1.0758401769175718,1.126892807567242,1.088475064418685,1.1344161086522244,1.16669163057139,1.5762087572853711,1.7110354562485635,1.255444566709056,1.2778647922621305,1.1394178709916167,1.2163601096377685,1.0556107927070981,0.9307108264337564,1.0429980623726682,0.852458170952415,0.8958190195015832,0.7371854299804588,0.7300067224254796,0.7886168673431733,1.039357290624984,0.9193135458000266,0.7993081746437283,0.6777895783394038,0.6202344274687491,0.6952444692176664,0.7857016896680252,0.8963555484413609,0.981543579504172,1.139663723251876,1.0768493076310126,0.9562132124121819,0.9002201599179988,0.810284642115712,0.795168120186806,0.7305029406238789,0.7209769146610285,0.6794378331529314,0.8205209119657179,0.9598135053982666,1.2868940285273844,1.6895326357516154,1.3179796144950038,1.2834267603930847,1.8193857187185474,1.3207042779604463,1.0982739341634815,0.9591093069519095,1.0269596370465779,0.6739505235057988,0.6959522137348912,0.5885584451816326,0.5965357043755095,0.5775295385808561,0.6129469711181997,0.5875565439643142,0.5286992760048392,0.5360221983623006,0.6143432348177083,0.5979081313224094,0.5573273923797744,0.63034069687583,0.7116538911816878,0.6222947555831494,0.6349424366851343,0.8090816718534015,0.8682005346107513,0.7473778377927245,0.7284974031079904,0.7750083539410616,0.6546675102011,0.5596938171269322,0.577912406823252,0.6529323084452636,1.3319647537497223,1.0208352850717375,1.1340250041406534,0.91721176861221,0.7186206499199886,0.6854384150311624,0.7567183110338339,0.7966145609771701,0.6779173350614331,0.6798684890496651,0.9035381838713972,0.8213995314295708,0.7071344276015551,1.0055446104383643,0.9643149096349647,0.9394408128115533,0.8905733767058034,0.6418848871101079,0.6903662225556708,0.7071421331693948,0.7150265372391402,0.8218969477729419,0.8540449255039836,0.9584894218177661,0.839761108460522,0.8708709700833871,0.9120861444768009,0.87303211614886,0.7092334460032174,0.7891189070802894,0.9148384173092146,0.749398614442104,0.6987454917645568,0.7967501888729397,1.0080533128862887,0.7516837722012948,0.7010066255445598,0.6256233529646342,0.5687755694283843,0.6049000740981644,0.6929735931313841,0.5447337410822779,0.5482431081103586,0.574605488054674,0.5980783767774912,0.6070998956184074,0.6138837809794697,0.7204616319577013,0.9482185317349965,0.7519661263825558,0.8023408460805809,1.2425353193265858,1.3708062456509604,1.0543896120153402,0.876431413470094,1.5873958387084472,1.5255009643397581,0.8803716610133389,0.7713737700200527,0.6061246386259945,0.71162263554749,0.8140950801345854,0.6782369200039357,0.7651692456009975,0.8209642852727013,0.6574706474416715,0.5353439796116808,0.5203990615816139,0.546868418292848,0.6446756275405954,0.715744514528151,0.7287077480191159,1.2978135441833347,0.8481065526962138,0.8225447110602392,1.0464777503598783,0.9294694196016211,0.9980825097941153,0.9359520110882613,1.1116198077957689,1.7659402809607196,2.1749787456778886,3.847847994256376],[1.4688146681418555,1.4283971444776262,1.4357916664256207,1.4089123950680051,1.4462149595977545,1.5854900282894209,1.7052931148779007,1.7907757333760568,1.83258798682349,1.867694350752517,1.8407226276701756,1.881033200177408,1.957491939170419,1.8252082863899035,1.8215298138947473,1.900707299773682,1.9171001564935397,1.754450183891475,1.5483657815233463,1.661732800997239,1.5337628270048755,1.542569426167371,1.53438281740204,1.5024983744023546,1.510409745206721,1.5283388540017768,1.6737445472395123,1.7687728213465088,1.8229225442172936,1.9190781860516812,1.7847352374401713,1.9114711943298708,1.8412021290290839,1.847006915224929,1.852777547418069,1.829640812854694,1.8639708563652244,1.7488293494510199,1.7494322710598786,1.6851300818696775,1.6664385071420083,1.6292744576083542,1.6574158131921288,1.7912531449195708,2.071228963709918,2.2007959820058653,2.349181433581398,1.918016865696475,1.9287082353218035,2.077294787351049,2.1149887267767005,2.534149015315958,2.524114689388183,2.9398483274683422,2.3386610229887217,1.9596677938192202,2.0376806623396053,1.8711153130538125,1.8078798885693828,2.2011946317062576,1.8977499444945234,1.6607171665892793,1.642385806789475,1.5757979235213049,1.5188673128084906,1.611050508744371,1.5206402875707767,1.5968475998045493,1.5407035325663472,1.6921366782704268,1.6180449983523617,1.690225354046021,1.5856619960949188,1.5325964091252282,1.6726727213090948,1.7282014798751602,1.6733718554066401,1.6961949893317665,1.7589744775344627,1.7452093773216564,1.7654842477984523,1.7815106670221201,2.0410796739137855,1.9283441484273514,1.8292906721220497,1.8075726570326747,1.730287765942153,1.8365146500467227,1.791244517410457,1.8292123224036174,1.7363717158713907,1.735474134341303,1.7150541306686955,1.75858655870645,1.7888633122343367,1.7314055358901173,1.8193377517740208,1.8819866509214855,1.9342345095708546,1.9991763553968371,1.9526532834023633,1.9933295888362987,1.9868589348316101,1.950435998772102,1.8534693863238318,1.8760806329393442,1.8349521942131488,1.7066384987747532,1.5960925886373323,1.8359960890209523,1.696956970945401,1.7583710870591114,1.8222553854925183,1.8301156039099729,2.0078381351596852,2.01499484399944,1.9547261603746175,1.8133662564966824,1.5199211836000521,1.7492988030360916,1.7701089877097305,1.9171568993862182,1.9308545960861676,1.8781662265149635,1.7632381636639312,1.6586382842774003,1.6555724089720856,1.619380534476542,1.5897708116357732,1.6230772143233279,1.3903279712691223,1.4035301411787664,1.3495937444114519,1.509853412590479,1.4098076100388532,1.543629484288368,1.2588730462502629,1.3773657339151515,1.422360859348994,1.4520579615399303,0.8653883499982822,1.241610354726023,1.4214668386872964,1.6296955591935889,1.6453058785576355,1.8223781101101493,1.8906224808309844,1.9800771130708616,1.9316405630728894,1.932146062139506,1.9381542935931386,1.8842771547987403,1.9199144221264823,2.1346873250125435,2.2933906943306916,1.980828879894356,1.9879450037947453,1.9682013307648183,1.981363653163556,1.9412609183301306,1.805907743533817,1.8391946009927749,1.6663455904901754,1.6577305138118799,1.3768778993783672,1.1519067422729945,1.1843379935637122,1.0936285920605018,1.0572994255376862,1.0749646995698319,1.2062771945808346,1.3433271063557657,1.4971536864359871,1.6313223012296567,1.7522620815674916,1.8510794126344952,1.9321708028344413,1.9130677356223647,1.7755552499406746,1.7670292291116458,1.6259871319225478,1.6993433443410264,1.5412620444310108,1.3973009262608638,1.3840478648687426,1.5143567241212164,1.6754133534643558,1.8651942265334849,2.095968498346626,1.6543724636432118,1.501225887569898,2.0917087878875544,1.4896568026949808,1.3637726597740394,1.3534867567264948,1.4160848333981666,1.1980657633344312,1.262505723947542,1.2347961762762127,1.401144739952631,1.352341122514452,1.4633552557171454,1.4651758577749348,1.318130906616599,1.3716515454485987,1.4883923747676437,1.3754816426879153,1.3434351457192317,1.4892778637812147,1.538167503271868,1.4300195263025404,1.4601707882458963,1.591447446659993,1.6305014117965522,1.5202733885847284,1.4008319007235113,1.4919602320648417,1.3015781382766736,1.3106845217629486,1.3587733588909452,1.3774031168714875,1.9965671099582256,1.6570332334138507,1.4666075092200843,1.5372913775383212,1.4434905498650792,1.435167181422135,1.397624580047106,1.199345145282304,1.3038246707224865,1.3246865193329167,1.1766409597155267,1.1655746500272879,1.1773776124342177,1.3509975660753586,1.1655524729184656,1.2177966976885342,1.3151561795893307,1.196479615136365,1.3724144287124769,1.4084150304092333,1.4666209237160615,1.577075846803159,1.600862918849749,1.6790713826573598,1.6115752618173087,1.6375091926215184,1.7043288234652343,1.6527109381271194,1.5499647325673775,1.630783277684144,1.7105464929894967,1.5841528749556304,1.5556077899934808,1.6153967913910658,1.7505222678669679,1.58413237531847,1.5292335647470603,1.47348836173197,1.4105951986936467,1.4299384796142247,1.454738149244451,1.3338859466418558,1.3535378433183456,1.3140577094785144,1.2846780772668822,1.298799257961566,1.2441089142417578,1.207065249670935,1.3015938732429244,1.2309015867908384,1.2035842564353707,1.4655178682932277,1.6132114214749045,1.4007606337668188,1.3321468548192699,1.7364879973757563,1.8243940342843,1.339585258884561,1.3303305089341961,1.2898795606636722,1.4224083727882963,1.4167646833373264,1.3227100307451347,1.3365060596382403,1.3497725477031657,1.3116712576268472,1.3526655272806831,1.323476346200697,1.4918473660336835,1.5863053034203505,1.6541352441280435,1.6479132938128638,1.9853188353741174,1.6507108694952004,1.6232782215040522,1.6827367607652943,1.641864767591142,1.7866978344801594,1.6030949709850852,1.8726023707785628,2.1395997251308825,2.5147308527812333,4.153706825196813],[1.9879725915805542,1.8648014647826376,1.6243672747254405,1.7603550554099732,1.492997864637307,1.7117289702997889,1.7726701331138832,1.8494711677105984,1.977489598674783,2.041815626125899,2.0850094516566373,2.072182108590143,2.163146823458629,2.11152653869954,2.1667470749208984,2.283576995098595,2.35546570860166,2.4306487462220523,2.5277086526858277,2.7087813255733035,2.7363535416798013,2.8419031083786592,2.796019225187329,2.7905155597037123,2.8446615094434113,2.8281545098609397,2.7595214394385126,2.5297228901204636,2.471087861668846,2.4131652463639908,2.363248019060883,2.3726556203071665,2.353427834064896,2.4897623422225457,2.520489390813133,2.5943569708094163,2.4644248805742164,2.611494950318109,2.637340008645282,2.6583207134859728,2.746054760713488,2.834385092460572,2.887534509411072,2.9438729961056276,3.207222071515816,3.229708067265572,3.3607765033429033,3.048909258398839,2.8011610437093855,2.8790870898103664,3.121791124716194,3.2727269791610456,3.3892012675816967,3.717017534990372,3.3141817090360104,3.116235433882273,3.1847835561888886,3.0102173887674644,2.915002208239404,3.2224646419797893,2.9937152146833585,2.834255617196485,2.7300812149355695,2.8014755942664773,2.770884566904464,2.7634964107284015,2.593957100778755,2.517727650743263,2.3559688189845134,2.2449988793299043,2.1459407192275717,2.078259898948506,2.135093456140164,2.3155747829540125,2.4725810890355597,2.6036114216496,2.6390661555125727,2.5997298501712565,2.701683514273343,2.7755375196386156,2.6762770671631495,2.6998177826092857,2.7551357701623433,2.623765118138174,2.5243010827314745,2.547181744869669,2.6852735012997626,2.5956057277120936,2.699597377086173,2.593273870270415,2.5285869599239894,2.4632679599736873,2.3422308142131354,2.323686370194525,2.2500166558762973,2.151904618174334,2.1889119127499765,2.2379268574963,2.2015119592408383,2.170341429123366,2.2590612164916175,2.174038469510408,2.301699857242073,2.0869821627338117,2.13555590067667,1.8977512586803835,1.8013520119970945,1.6851089119591252,1.5020845323180734,1.7469861378004075,1.596092537318815,1.70398238410472,1.7792483117625635,1.7555064436664152,2.04240069179593,1.9915165093181804,2.3019905805403886,2.264225995587044,2.4970923816801913,2.4215872251576687,2.3590808768513445,2.2317002596756716,2.10314708805541,1.9455598720981897,1.8389168281408244,1.549305536250055,1.5968995089617068,1.4894628079607264,1.4653717595449456,1.6397036336521125,1.312343879336224,1.3813112320556673,1.397710803896249,1.662526114701298,1.46306532497161,1.5446690105224496,1.138461536189499,1.2544430602623322,1.2559766384845756,1.5447069303659664,1.2808091697515438,2.175527738579888,2.4568888754326172,2.2209577110963825,2.4453025495119505,2.388634496498078,2.2029297817108753,2.163784173951445,2.0107437943166397,1.9581991570494917,1.9312259361614115,1.9700941042716376,2.0070857872609693,2.3659369006551945,2.426881679116697,2.116011162914308,2.1319263416587724,2.0721210716531124,2.181531287903642,2.0147068711419087,1.9971796140805953,2.298741217804025,2.0892654651449263,2.3184690393021854,2.004212516253549,1.6080123860596678,1.594812741966573,1.5020861343028404,1.2189739477662285,1.1810575919176685,1.3086912119582308,1.4968970863301805,1.8708189221610945,2.029248507014535,2.213817216130715,2.2484560044975526,2.356638083375632,2.395750341751471,2.3669242112981776,2.283363509922288,2.165474528782467,1.9401132861478634,1.8880031001908233,1.8423794061318077,1.852353688188413,2.2485365882650665,2.5114985833115058,2.7644393871394244,2.824342249059722,2.3206099284231785,2.1798974479629294,2.2125282006824634,1.6380099317181285,1.4467453391442227,1.358249419662752,1.3137374948833762,1.1240279075895483,1.2300931740038235,1.1403961270935785,1.291707097769371,1.2293822463235047,1.339991031946123,1.331322260779012,1.2162476191033194,1.2658882465888506,1.417840170990609,1.3942531302285446,1.3266292725532802,1.4475061281525623,1.5845515570695525,1.539840165287857,1.5386384280009415,1.6722549891794687,1.8098426960273255,1.7240374578517077,1.6255851278785296,1.6690808614325008,1.520777691768376,1.3928691396732322,1.4017913198416967,1.3316914685166419,1.9870427631149077,1.4677539949622112,1.4293493544133045,1.404099138861775,1.319111547350341,1.3268490070613819,1.2955950260577054,1.1776866196723408,1.203340992673332,1.2193338530400757,1.1316565957563167,1.102108759382292,1.0914191991186535,1.3454000707192633,1.1266938103516353,1.1497960040607627,1.2523586635683053,1.0923273735065637,1.3149462641143204,1.3479494408233392,1.3728878092625982,1.5409168170676146,1.5605587048662013,1.6524216013324409,1.5399036196904194,1.5472326273700792,1.6080713090383028,1.5496214058229296,1.4491354345031364,1.5476773902580263,1.6680524576463842,1.544421820561407,1.5003050625731913,1.5907573675423694,1.7429103054419088,1.5933387008957027,1.5077203822988459,1.4408033761561618,1.3409370426849772,1.3272637716448163,1.3241602643260226,1.2887703209590484,1.299813447547423,1.2239085944131736,1.2327618897313133,1.2898203302981515,1.185696552339712,1.1472622543076367,1.3610717540524164,1.3117854615229616,1.1759726126574541,1.4579756021780383,1.6690066418723404,1.5151924561136945,1.5575181933816964,1.9977306726150452,2.1284682122088237,1.675024427613276,1.6914377014558823,1.53475108160288,1.6850656404570092,1.8439899542153173,1.6419976151132116,1.6017204298884269,1.4588855000847432,1.3369723046120825,1.306475127435671,1.2074969127859505,1.362780806469508,1.51747717777961,1.5424872456731649,1.5642475361009436,2.0510514215017097,1.6405750964672239,1.6670812911252384,1.8148182155293777,1.7574004061566086,1.9307498937746923,1.8090274804372215,2.0291659985406265,2.219273827486161,2.6324459921986874,4.220111387207701],[3.2113187839952286,3.1185031789718933,2.859747930622068,3.00893460545524,2.6358915559121723,3.069615352573486,3.0669292177419623,3.1056674330776954,3.366799339560194,3.296586461439779,3.3168549887073766,3.221925226472013,3.064757513434541,3.217271598405054,3.026169002504471,2.957072424126225,2.8673648891609833,2.75935543176072,2.7555251213164778,2.8017953218800957,2.952068295955194,3.033111346965983,3.1463863294844723,3.2151127714747227,3.0135111828244354,2.949395019678434,2.6940560259217308,2.545594872001315,2.689189428984248,2.782507019304439,2.82562728997619,2.8894718069026597,2.8800307818838373,2.853687071197666,2.8018717699438773,2.7822088834833014,2.7186531107194276,2.6731571198957957,2.5573319617283885,2.5736302072757673,2.643720188203478,2.849058208687652,2.9051741982646386,2.9471068712933666,3.493588752255084,3.5129735497572154,3.7378864409513652,3.2213226698650916,2.7468734441614338,2.990137015787119,3.127527614629952,3.181494872051615,3.209225463427431,3.5641243186778637,3.3188227437501436,3.067586864813992,3.14995768326128,2.992066510003941,3.020084033189818,3.288077543876885,3.120907099887841,2.951256656255357,2.8835280819703004,3.021426257783573,3.0012654608988973,2.906471189454269,2.8577552040979795,2.763163408010286,2.688260370895332,2.7025655027385356,2.61682862502664,2.5183859091502088,2.5796177066286323,2.621559994639909,2.799486259888547,2.868897844030525,2.8051574399852206,2.777640326654269,2.8240803177507243,2.844310773961241,2.7578397156588177,2.7667879456247637,2.6929670057245505,2.5277565488821603,2.4450471075124307,2.557046721946047,2.7221837390693526,2.7491517218729293,2.8028823186561107,2.818523718435561,2.7679975192021598,2.72730472414131,2.7073069467880178,2.830348118854942,2.9003471584745824,2.8693000079001987,3.060899080167809,3.021437175637489,3.0986771391816736,3.1892379327212197,2.9469687764428962,2.9607315907420073,2.7803528163425177,2.6726138950763776,2.39133846365706,2.40016183014955,2.3569034473850485,2.1584279417962566,2.172237831209677,2.5005787447340766,2.5283841553076583,2.4352482202848007,2.761435130999447,2.5041482621456015,2.8363514862451953,2.543352534314969,2.5434240831360673,2.1321807543740565,2.664540803163574,2.7382193161159236,2.8618268074828905,3.0872183526333785,2.927898514813499,2.9456263835996603,2.9907680973644015,2.3899669011760265,2.649006131655581,2.2755728442399636,2.145778295967422,2.0102533082025134,1.7934482247067731,1.7623014719143455,1.580069576104957,1.798593894418214,1.6308855628084458,1.7886658046159563,1.5734094745296743,1.601199965796861,1.5836778420553816,1.5857810996765747,1.3042423706091608,2.2059845577742383,2.253149158297641,2.0131707526969986,2.2585841130200994,2.394184536290979,2.3363388460960395,2.5974111436205556,2.596850690779718,2.906316306858748,2.9031638324723046,3.1331319813441296,3.1111857582944182,3.4530554154229596,3.47221319874491,3.116782801702256,3.0555018926931496,2.9020496339871773,2.8269046975532417,2.574009449851502,2.262644536706319,2.375705653031039,1.986302492857125,2.1596322962139824,1.7954254466782373,1.5144268389765945,1.486810556705632,1.4949268306383612,1.2270492919144749,1.2140200763375528,1.2966090079136534,1.4853480604425728,1.7623376667591222,1.9913778288402686,2.2313337152444115,2.3987286962785626,2.593749263851117,2.562513323207053,2.374042391960374,2.3027881525497014,2.0988994900889852,2.0826845894255226,1.87173523900951,1.7641537599920338,1.7514121287730513,2.1288894524739095,2.400848159631234,2.71354569603455,2.7789730990625214,2.249183640579262,2.1466851597380954,2.189338831417136,1.624277719037727,1.4513380127263753,1.4037820333453648,1.4102854224479155,1.4421144665086116,1.6669492089634597,1.8176937492917358,2.029600310943185,2.0426927320974113,2.2366545446238533,2.303844598101508,2.2255687396206816,2.3168759983151115,2.5637184248812974,2.542554775370116,2.487708709120362,2.6502232501704244,2.8521111579326295,2.789616632203842,2.8227728818318396,3.002318109074055,3.075764640032823,2.982362419627249,2.843838371162175,2.8269421462500874,2.5742456861559817,2.502909570978286,2.5379225449426897,2.36960680083308,2.8311193432574777,2.418934797452505,2.312926284273484,2.2153878949669963,2.0471254458735677,2.0400387345169557,1.9019747591656393,1.8156784816386775,1.9508821351731869,1.796505883154206,1.589933573764401,1.7497786263915334,1.6875839373166595,1.6909809631742212,1.5852339609078272,1.744611159317995,1.61581637947921,1.7867171582533845,1.813560630125143,1.826766410098784,2.038286532186141,2.0665359568799655,2.244765153098999,2.2460655031092545,2.2107698924423795,2.390066276873508,2.5380635767239554,2.5112050931713856,2.517040072372171,2.6656441841007106,2.8174516666840326,2.747090414523413,2.683001946321321,2.831978169679513,3.0389063257649895,2.8584345032688447,2.769238240454198,2.652955676880614,2.4727237727460953,2.401282871074098,2.2992413963023486,2.377091927373956,2.4022142555699637,2.1729022890869727,2.1986960977279986,2.309336885217889,2.1141369792921942,1.9541375333808664,2.1976573350060904,2.2028983370604927,1.9335102634493888,2.0878123486867315,2.3211184552079147,2.256556754509745,2.392798983355307,2.648135845140811,2.7287697383547185,2.5913371190469534,2.679650671718245,2.6154650624674534,2.860215591531658,2.8801766174233343,2.6413506447839756,2.4822817539672797,2.3270075393509444,2.2468989241223416,2.3209172434997276,2.0838352784190586,2.2957984810514387,2.6772640387413693,2.620621885232577,2.701761676215298,3.026492779816473,2.842977714677972,2.9598770042155285,3.0622444417604413,3.0486608865970246,3.278078251251859,3.188689720385549,3.364786985416792,3.4352901830426505,3.615423046002731,4.882569288768208]]},{"name":"Protease-ligand interaction","means":[[11.225854064723634,13.777776626345172,18.418824235094075,17.577380519532696,22.962491013776006,19.141995224100445,22.631754255697132,24.095123772959184,23.160869309434233,26.985281065350485,28.254019956230334,28.96174942978215,31.93212966745029,30.792002575312967,34.6229570245751,36.34603216951454,36.851296442137134,41.26346882060319,44.58322438531091,46.91670050605084,50.46282262391579,54.104975564348464,55.402779594795916,55.06442503622507,52.177221939474684,48.05571322642253,45.70632133115397,41.594112422397075,41.296085441435366,39.57836082345351,41.79882381770505,40.16543455810725,42.50043026263175,47.00180842878294,45.75600027678041,45.358298230557246,43.78194077867093,46.154093498784455,46.367409316873534,51.74643846491837,50.01326436516484,50.92190495513906,54.967337072355875,55.30021857829141,57.80919261201821,57.89777882143898,61.88854553676304,59.70219200143949,56.318957341309535,61.11758426033204,61.93084787686366,61.64526502648347,61.944931951655946,56.78889631681226,59.69607649495579,63.36350977841506,60.32250172784991,58.261741901227815,62.859649436682105,64.18703183330635,60.048696694698926,60.344105691313786,57.424358801907964,59.862888176269365,58.30420040901768,54.19388008863502,51.51705877584643,47.705937065110746,45.59764131849712,42.218322715257735,42.10625806106478,43.856002888294434,45.08546687247725,49.24003045192051,47.744728489410306,53.64303195214801,53.065437337573194,54.698744893195894,54.18947742919426,56.057225912717286,53.22148262996865,53.40922157008787,50.44982357018531,51.11087865316665,49.172387455552816,47.52956983389859,49.86189323213508,49.07262933383416,49.71054017651924,50.9974403080627,48.98645708166571,51.19375329957786,47.239110412867,44.299486265237405,39.94878251470522,39.166418312057,35.32809078672288,37.16368828174535,34.11186540929508,33.323218288546435,37.68985191079783,35.88582440958589,39.84571328538716,37.348403508594615,41.61553480828684,36.83299089904913,38.063273573695206,38.17778678349275,33.76937110263781,32.96136783045316,29.026481172356373,31.45606749004918,28.255206274250625,31.046797164877706,31.772302956702063,33.44375200078982,36.83213157050345,38.521409923946436,42.387262945902485,39.473347367427095,36.911411893967085,33.523642434306794,32.56766420642312,29.977974820416563,26.831553638549813,29.529415860781878,25.994144425297367,30.234407551657192,32.13179613867264,36.720220659213325,36.111525635572136,39.477491364195906,42.0317850888739,42.28581635958919,40.0239992561605,36.887449997789886,35.334066509350485,34.83962517555275,34.50738919833018,37.334503823453836,40.08772542363356,44.63627126884628,43.10043702170856,40.48508616837198,43.23615663734467,40.56574120288266,37.66989808219166,35.37715324067163,33.79568106115402,29.835353840834586,29.206657257265405,26.747640849660144,28.99352329319649,25.86052713100031,28.795632820031198,31.438405328904118,31.740717444450578,32.62253207136796,35.25841049546313,35.34335431576291,37.48519162947768,40.78417025857296,40.432961019780194,44.52612318084814,45.654463651989765,43.84756919310273,45.363133258127036,47.574400644676196,44.24460259882924,41.47309967875122,40.934817811953565,39.517837311734894,42.34427142907209,42.54434013472085,42.9698085507863,42.603800595963584,41.284858842853694,45.62652698092533,46.64600832234756,46.69431432499511,46.36524754010128,41.629037187831045,46.191372751772114,48.98487963579403,47.110962410612366,50.72276803591953,50.33622682659406,54.960788026264424,53.64180622718807,54.497104326046006,54.04460122167559,50.924609142676914,49.4561850012326,46.50709709815327,45.613555897417264,44.52579095500789,40.04716784079947,39.34593496761428,35.479070212723734,33.6490894614945,34.438130158092605,32.42014246750706,29.67503361401235,29.43309027948045,30.232422809320884,26.221802697051185,23.641855935846156,25.97551974825279,26.27935968548379,20.636728634186642,20.68968786455612,22.07722311592244,19.016476547627715,15.998377168046941,18.79179776162037,20.269280639810063,23.754525793154166,26.46168335034453,27.207378167916897,28.99890910438992,34.252609668367036,36.058223904085224,39.24074089040768,40.02990054357401,40.50813748886841,43.43880259414656,41.76946668891366,46.14200717176973,44.53979671653764,39.28669593680631,42.59734915809974,45.98441724625449,41.93515949237734,40.652131974112876,44.6976842502124,44.399630917469345,40.1509582777383,41.07536442565333,36.56110012906754,39.53408041599354,41.54235192172577,38.86509176055164,41.22154451201857,41.6889453052181,40.02281214486239,37.30061082784494,36.59004586495128,36.69924253642414,32.961603085173245,31.095917249346037,31.382455201084355,29.069147916955185,26.364657137865038,29.591437084270076,28.570956596308505,23.795337204218665,25.294822055739807,28.856972988459372,29.13000797783703,32.95065024617211,33.72330650578825,37.34901496566003,34.400234457845116,30.33244996836645,35.10050238826088,35.691889277200254,32.30737281905044,33.05982959966243,38.33057621828598,36.077570813770585,32.133685355657136,36.090133367604324,39.53475368665881,36.69624142016643,33.644453266736704,29.094920260554943,32.43872857317167,28.43387235760943,26.950860293094173,22.71357213898723,22.799554323858054,18.615538350637728,19.202645773268678,22.290598770660722,25.805713176467467,27.25518512104069,28.083637095756007,26.4172515070108,30.417839709790467,28.433148900429014,24.214930302206547,27.038077349644624,27.036959554994727,26.763935668783482,23.451333883389164,21.176885186218584,20.654295410857507,20.255036283819166,16.354284940040646,16.165451550633428,15.60792168813389,15.489719024718955,17.524486364759355,19.59365546703047,39.98277449079389,36.67770356975956,32.77735444452523,29.950709945331834,24.97264435655167,28.443552536332593,25.043910401957504,26.017335001446543,27.185095100633465,23.82564049824503,26.057925434489274,27.713959388124234,22.027548741421413,23.137233313633455,24.542399493923533,22.627949044370503,18.41748145520659,18.914939760757505,17.553047101590685,15.86386591379191,17.244648026221135,17.10302839561447,18.339303417561236,16.54937578964183,13.230203081087897,13.222279775395783,10.879564408693282,12.418560732518156,15.929253531376776,18.67830725175784,24.10315463335325,23.898885240656533,28.10125873739523,27.992786216671224,23.776625777900133,20.13928187561667,19.46870883992725,14.316523236611667,10.892589732469128,12.620473409835064,8.241663777589736,12.561272309074775,14.74453919231315,12.145294910873885,14.852290887793114,14.940726880371443,17.75340070640648,15.777329753712458,11.373488527628773,13.648328318240262,15.831339782328984,14.944209561359298,18.010846857810822,13.934053152755482,19.896496992179898,21.638377097704836,18.36318897086361,20.1104598652589,24.297953598632503,22.921798737177685,20.911573151878542,24.927437097464857,25.510705864494565,26.694724049302206,22.556575482348425,20.25575134754617,21.42131264539265,21.442972156519435,21.949018013246693,23.98735809070523,24.137829932412092,27.710651728535147,27.46836605995117,26.406668002383217,25.64861171527541,29.32613102642915,24.919073290235456,28.56243445675952,25.10827494040444,22.916675980857924,22.15380532037625,18.657687542066075,19.962702328138196,17.47071021886903,12.917989742516664,15.325424599946384,16.543748894321304,21.040858626235156,20.60563608748978,26.688617970536658,26.24240542417625,30.594847082075017,29.996003628603418,30.15370800017737,27.688339218109565,31.092195315041614,28.968941289982833,28.645223318249116,28.187955823297457,31.760705804307737,26.80718451630487,27.217407946295065,23.080659821417726,23.298619495019526,21.016822100074563,20.70999105189587,23.71320256858978,22.2462217928202,23.425764112360824,23.806640854286822,23.21575920518824,18.904127620609344,20.53726526741061,16.473139366369956,17.24586463542712,14.803641982440512,13.935702759316966,12.342037309519535,14.909778211520514,16.824982241943683,18.02304762402931,18.981199034741127,17.600869684530167,18.27906825598096,20.511485908909652,17.378298831757565,22.054065132092653,18.476185964553938,19.48334479029718,17.90526794449982,19.170904557730246,20.906696028250593,17.05246323061313,17.249437603657604,13.846232943287411,13.056104968907041,16.166271654178683,12.765552188505316,12.521606327498867,9.238640856482146,9.062855158115477,6.5558771031920235,8.028140533362006,7.869234567744387,7.010679392515505,11.024846925340139,11.53783431238185,15.40494152516105,17.205556678890765,21.134659163432765,24.068693569055515,27.779226437583315,30.679208834597244,35.349204591740914,33.175226458179814,29.696855416446155,25.826839405403295,24.531578980105472,21.240314471711837,19.25504112840101,13.618990280179935,12.329525646217956,7.7117049197607015,7.205225012335921,4.829904762279101,5.669748086922246,8.46405181469527,10.740262700074268,13.096804813566253,10.921864549698324,10.939146672657364,8.692528951986363,8.372051447181681,10.619374091654004,12.845550294316585,17.035689480362205,17.74718403375123,20.55043829426635,15.773968357474693,17.32669419907123,12.260903790143615,15.710404298040043,15.550106909559783,15.422253702306035,11.816493474008935,11.116803632918751,9.361197456394942,12.440463195858184,9.095988488656223,11.260746028554674,12.082076400315325,10.616839967813222,13.457477147925259,14.797683577339,17.729331046538086,21.150475543066626,20.565960289727794,24.10965551997509,26.437094240381825,25.959625810866594,30.961823970651235,31.046040991781126,28.23458340889986,31.14092149037145,34.68094023259529,33.27370018889183,32.048583364590336,36.11025084956857,38.5652131187956,36.20395827557795,38.10393114663219,41.42429783700389,40.3618751104645,39.43596478313291,43.07171556672167,40.903313225437806,45.277147156369786,42.422500690395616,40.99260458784326,44.445118933140044,46.04346573638654,51.3761426375317,49.827015661833705,47.69394128379743,44.39284102290212,44.5642873151687,40.36785772694711,42.12403369871126,43.238131194776386,37.861889705467284,36.77404434057972,39.204204250869424,37.462875713878944,33.677167439887896,33.37315949608996,35.82376066560491,33.872356063990765,28.147126891985344,30.058890656613816,28.40145609616267,32.02793626886987,34.97165842121073,35.18514003660163,39.92220239443054,35.68248613059991,33.101033336744216,38.382234663337826,39.338532414632986,34.95871153744823,36.76357860115349,40.648816209132335,40.05974031212565,38.645924490141084,42.879630780324526,44.76563576345261,42.92311494689752,43.94981786889543,46.80983522013746,44.6050420865822,44.54001782244245,40.92761320992389,43.08384002255834,45.06204734648654,39.91910521142315,39.38628194918646,42.47645696799442,41.25858970318071,36.670512071282694,40.810274875444826,42.64711620521353,37.97938538504842,35.94542656567907,40.838625579969595,41.82910164043244,38.60525406506008,36.55848409932421,40.20347687648822,39.012031453523605,41.800991561828795,37.753643697607686,36.110215125956955,34.75571829349098,34.71562426758894,32.52681012824922,33.085649648460745,30.295947459096002,30.952632649437053,26.69421150443877,25.06911307696858,22.827923887517702,27.71381977697756,28.371072092839775,32.177269895048354,31.440540401369983,29.034018516877442,33.476634467688356,35.66251276196058,31.435098433787,33.260816368737004,37.67379846998604,38.79036872592329,37.43532833515303,37.640283735775924,36.776729647574804]],"stdvs":[[1.2994406770484275,0.5528900816862635,0.4750297857892864,0.3643798570220619,0.49238013362577765,0.5301309398145357,0.5328123436196285,0.6325028407959631,0.6040596091132121,0.5535090000968141,0.6231606217295238,0.6965197516726206,0.6053485044539643,0.579749360356254,0.6649023091771011,0.639950320914736,0.596975346547222,0.6126803994445688,0.609441361758273,0.5813005744144398,0.6083011723087622,0.6940342872449544,0.7126086279042824,0.8031272413563794,0.6442470341804356,0.6427716340494863,0.5494907636147082,0.5501633995677002,0.571784514289336,0.6172973691766409,0.6993035547772082,0.7120962681819062,0.8031061125765542,0.7586540290468047,0.6960570545366831,0.6496067411717839,0.6359774194989981,0.5903842794946539,0.5519001935314504,0.5659648996584188,0.7200057680802611,0.6400991040568734,0.672583648398734,0.6953604435981541,0.9124035063387875,1.18576694477638,1.000605357699806,0.7534838948411863,1.9317827128960614,1.9510032717544599,1.1284485793361874,1.7242628998548062,1.4683066084343943,1.3039945877931185,1.794585100246815,1.203632640464283,1.2918457647443724,0.7928314207243401,1.135581571122597,1.0907218125955658,0.9390247139301159,0.799342676139675,0.717219305686004,0.8645696756479824,0.7023450031681604,0.6915947554260534,0.8105057192457885,0.694457758349121,0.8330754295997329,0.8039358408985636,1.006634443368297,1.3028301124671955,0.9537244324970409,0.9831938280933784,0.7597890704858232,1.0805977169284402,0.7072849540240196,0.714829512732307,0.6794490005604777,0.6708270303892485,0.6753517358746286,0.6871059634112743,1.3483873576917198,0.7077024358004551,0.5623433713178522,0.6082156330856204,0.6219715085555669,0.6778477066917635,0.6398449543792207,0.7493151267558991,0.7500922453158843,0.8250571733406307,0.7951552570259341,0.7821752772761112,0.7449197610241404,0.8400687904621071,0.88425076409266,0.8110012349455145,0.7933120509245432,0.9995321897624535,0.7807582660724686,0.8797630885282106,0.7385492761648328,0.7358874509060691,0.7794922158443485,0.7020612316327199,0.9620580805386051,0.5942987151175977,0.5754778216426997,0.7856968933275963,0.5521096496264157,0.511630917287375,0.535557749900885,0.5412781007846507,0.5127004130632319,0.496020628025949,0.5621660067628934,0.5084051453090305,0.5787632519823114,0.6229493211504891,0.6031562766919741,0.5688041381507881,0.5193720806953538,0.5043679074835461,0.5198393026378779,0.5552900804592366,0.47437949232907445,0.4585749640743734,0.46430943346228687,0.5278878340900051,0.4930506072395645,0.6064455293793962,0.49262235131945953,0.609142138668083,0.4647780536735962,0.5023143403863408,0.5445853294637557,0.4909501145400472,0.5284120675283636,0.4753780971354985,0.6520366760596213,0.6017372322151447,0.5611762882028019,0.5060821961547042,0.5358745087513113,0.5499128502545519,0.5159803925862569,0.5779474757432433,0.5572608548641017,0.6092784802311634,0.6832228911365378,0.7242825423258467,1.1567574737957764,1.568578128490258,1.1687779112502306,0.8488260021470014,0.735250852873494,0.6975272309502906,0.6434626674276986,0.6606186195539933,0.5426207691949584,0.5598018011895788,0.5042980135457715,0.5136606763909379,0.5645685866152067,0.5574348884834525,0.5035735537504138,0.7084603115394759,0.8591047695457069,0.721040906544858,0.5458134631751909,0.4387705729516539,0.4636042601222727,0.5135057982599421,0.5520156376298463,0.6589530047360368,0.68273317243226,0.9658602441374897,0.6361817283632281,0.6140160191010684,0.5638035988474756,0.5785225379088492,0.5544079728421465,0.560299007121126,0.5497572357011092,0.6596807455481903,0.7884273117629973,1.0042290414446244,1.5368440641280718,0.8254716239557652,1.1546652827769164,0.8581555649905382,0.6784081547128764,0.6248356360673413,0.5151046074411979,0.7124750109354763,0.7559889115091962,0.6127782782152014,0.6392078319111657,0.5807330797660462,0.6801638398158272,0.7093150000816686,0.6150622107248485,0.6976828853435221,0.7788291019236501,0.7500795350024904,0.8015882401907352,0.8114343517070536,0.9220097618982278,0.8107914253530947,0.8706491404512032,1.0342333003384832,1.068413440966341,0.9650777839283174,1.1280483734168507,1.0738448937335578,1.198559333091025,1.1015985646690927,1.031703123943832,1.073008152040842,1.091609729162284,1.9906750668059296,1.2145883777658892,1.332361864983325,1.0318834564578574,0.99807255297677,0.9553038738545535,0.9164001734921267,1.0909002701341186,0.8493794054050156,0.8359994599065788,0.8526367854556804,0.958565203320155,0.792016090059078,0.8552109071866782,0.9650125898817037,0.9820869225791159,0.9402973359143312,0.7421045493386136,0.7660846888026106,0.750302271305715,0.8411938562205965,0.9618805353829715,1.2187640307209535,1.1256339644791216,1.0052853923699863,1.0239125537128968,1.1276105413029431,1.0404107629985029,1.0105836062833817,1.2207397913109983,1.3364346752247032,1.1363442676692954,1.1573865712678948,1.3335926901189243,1.3648976894866207,1.1630278858796361,1.2315079509147797,1.0859432284531991,1.050731091369182,0.9645800684488649,0.9402960728654854,0.9885581529994303,0.9082822967381159,0.8790049936836418,0.9370017219436932,0.9557596648028435,0.8567436907201298,0.9132667967574714,1.13352439897479,1.0545146551519098,1.0131894531112737,1.1266784216557553,1.2719589018909208,1.2990760310989273,1.2945072785618834,1.3092312727518687,1.2567936524868606,1.4179335034925904,1.1165070683043197,0.9820195330300702,0.9412885665676985,1.1373247821121577,1.1132639656606946,1.1583699451537584,1.1535213424622128,1.009707735145193,0.6047505883942124,0.5617460957824714,0.5690277746643311,0.6189168560075908,0.7834790603233762,1.0759845057813586,1.2994818652802669,0.6699018959324787,0.9459156407721897,0.8492557051866444,0.6739382206874015,0.6749559811354544,0.9753030580550104,1.3053424299439846,1.5044359599634598,2.6209687051196577,3.2810043905402657,0.5769577271976746,0.5203274183452858,0.6678191675255711,0.45136554472326,0.455966100806742,0.4866109020616163,0.45419610027449514,0.5469398954363446,0.5053573934247426,0.5672370971348308,0.6492479114810961,0.6360460906434029,0.6295158331414178,0.6444329863110501,0.7262463755780246,0.7036798223886901,0.7115197923105595,0.7680325420912353,0.8769073441748533,0.7854439937857405,0.8402492080908844,0.8477557937499096,1.012094293499425,1.103431082639059,0.9578631479209913,0.84267924444133,0.7500395821099162,0.7046099262729915,0.7148567248717687,0.6584090356615206,0.7157541119646997,0.6707601930184298,0.696893975684032,0.7363539917296775,0.6992298483291561,0.7403096155895608,0.6997796809442626,0.7792800572606161,0.6654223091104028,0.5082456231617037,0.7555207451698002,0.8175631495800992,0.7700616861066273,0.9737684836302378,1.3827313450125474,2.583815935416355,2.024124737001852,1.3640041870111457,1.9188112822269772,2.558741333026541,1.7000919856990224,2.2662241525189275,1.4158921613172937,1.291201590390552,1.548255929562261,1.1692766676787867,1.0947204707278915,0.9894566769741878,1.0369174960131096,1.3878443348761238,0.8988002448600999,0.8402775781086426,0.790158976283693,0.9922311249622758,0.853094757744654,0.7731179694883877,0.8792576054439539,0.7880256677150752,0.882003217209737,0.8036666067206354,0.9548588100425857,1.1389010606924195,0.8254454367505517,0.9242936855034967,0.8225603899887715,0.9827821868896464,0.7878536918352983,0.7978192792776353,0.8547009612857548,0.8782175995794356,0.6370320213424516,0.5991757729405877,0.7633347034401432,0.8443689681867363,0.755783640523182,0.6471009995497414,0.6427222317169154,0.6822914003959752,0.7802802663131083,0.8415946929601501,0.803049025141047,0.9463051644248204,0.8891226749337223,0.747955333866248,0.715914990467551,0.7571386047376271,0.8695885416912099,0.6968327644774456,0.6884167618133672,0.6628552596508686,0.6507280330747924,0.614130939975771,0.657517102241329,0.524782724672515,0.78027715327083,0.5985330647561982,0.8354082411314683,0.6842593505476828,0.4901760387402523,0.5357392561296813,0.49389836436170176,0.47981111508107205,0.4549277697641162,0.46251133601177297,0.5412544298272766,0.5815271333126126,0.644664010377938,0.6589973169390806,0.9715018526694533,0.7010429984124875,0.6794260823268766,0.6670076032327342,0.6704390046398444,0.596698572563169,0.5216677221617126,0.4463316293104356,0.44781470993509204,0.4061876116921092,0.4504224922210784,0.5470881000161781,0.49745321138082405,0.6093095122598889,0.6502608757226622,0.6024068758018563,0.5364889249624173,0.40348895617732394,0.5194493800554274,0.34544287285960956,0.3452821467644559,0.3816980484532852,0.5496668244378143,0.9141560366172421,0.8592711831773613,0.6687564606169307,0.6673085256291076,0.6114596817765765,0.5487092119893804,0.5519522946479115,0.4856699418181936,0.5124274585504808,0.5244247130645366,0.5225759002449893,0.6991624774605981,0.8021233590314912,0.6969360661565768,0.5601147301487138,0.5675755692691878,0.5417933420408173,0.5941468833321203,0.5335357209776075,0.5101848426514696,0.5195587191823613,0.4172331364710803,0.6049876960105736,0.6333157971825583,0.5316262897841243,0.7109880321660458,0.8271796711212187,0.7253941921957638,0.6511796765140819,0.5402707358096066,0.39233232797301587,0.5045785801579941,0.5366084827993142,0.5673284114817253,0.5508084315980744,0.5622853152990615,0.678655138003471,0.6887780004637251,0.597676238159825,0.6102516823144128,0.5261971360131142,0.6603315241213756,0.6359200474235602,0.6381784153154965,0.5219586732615065,0.4988709431570335,0.9673542421214504,1.2096291009125386,0.9940627839994366,1.5835089768831605,1.055995034669295,0.9480034912730094,0.8018016692095733,0.7705493311734347,0.810224889034428,0.6915219216064225,0.704407051423143,0.6104736453449555,0.6037699249974485,0.6075936890529788,0.5771304032254967,0.4921974475438433,0.4841235026677347,0.5075341269738775,0.49731757145159433,0.5078765208672578,0.4955653064952498,0.49256591763335317,0.5042570875717127,0.5355427333597733,0.49979233238508236,0.5396718299292917,0.6368312390152792,0.6491479998605352,0.7001020011296747,0.7309327804160523,0.6561141648638295,0.5259391553350757,0.5420965373525746,0.6231148003731254,0.9044478835718176,0.8122366289793367,0.7376361332293723,0.656812539488409,0.726434245029178,0.7606432443689539,0.9998961035234811,0.7894378592945909,0.6990531333457373,0.8286515289134326,0.9676777749948126,0.6949102750979994,0.6876633817116891,1.186264545922487,0.9848887395221848,0.7771997341095396,1.0052972754549423,0.6473718258847114,0.9420545453789034,0.8754878327439743,0.7946613373423687,1.0640054811498567,0.9721981285368163,1.0295202489799622,0.8872587247217929,0.9821652422211584,0.9560835376330279,0.8283372824119144,0.6442103048398943,0.6893622216199182,0.7239885486533205,0.5816067814728412,0.600554645928987,0.6279527471374822,0.8151409017015896,0.5764404320967863,0.5420347325885112,0.5354613293626993,0.5574943527949326,0.5869210501739711,0.6587726172026258,0.5428498864567616,0.5211542889910173,0.5779472245904982,0.5799671621093856,0.5789802067924423,0.585696779067441,0.6786662370258875,0.7224327317493872,0.6911417131776614,0.706457253526794,0.8329733501652543,0.8951892342812462,0.8586394261271517,0.8377222952466548,1.3624008064863204,1.460572201493565,0.8562553952625389,0.7749454523387352,0.6294939737692875,0.6351149333422567,0.9321241891286832,0.7724049323097574,0.774097525843135,0.7038080829675785,0.5506889575735071,0.4982765212708202,0.4620773051823988,0.411346822180771,0.4882852571721337,0.5217502580357737,0.5451160059288194,0.7394872634153901,0.4696438288077577,0.509769767005224,0.5211415939131263,0.6502941869104854,0.5225388122873293,0.7523335027434737,0.7895459016522308,1.3858992715459748,2.1274574514086573,3.3997461051461726]]}]}