{"data":[{"name":"Protein-protein interaction","means":[[32.89959959462851,29.47408661188979,25.74313421274173,22.664032202913656,18.384656617216386,23.35441187362613,21.045202394337576,23.74738333577095,25.06190132931979,22.61758493967044,25.80620088506333,28.229970763853363,23.128988542127765,23.271159600298894,26.4169076173673,25.526771069652916,21.061159894119236,23.18017066934079,22.40158836596463,22.600872513533904,24.269571896448685,25.73025278038727,26.04139649822373,23.75415306523483,20.928468707834103,19.55797302089906,17.965012421302905,17.174364769471314,20.856919609077348,23.223129896977017,28.76368032628574,28.529535756629283,33.023014012966904,34.27218608022804,30.22892617662892,26.683226141092256,25.708545186253446,21.96843034659979,19.157054259843278,22.91685263190493,18.630416993015036,21.814254316802884,25.253348675015012,22.91241281445629,23.782356801139258,21.130952233472225,24.912885245487754,25.23344001721193,20.050528946810037,22.74693053409938,26.138602847104014,24.822669098951618,29.714818274467014,25.70461501583609,32.12484590919548,33.11320223824908,29.295727991609304,30.981113151436734,35.33108243308516,33.21239233914282,30.80819830965276,34.25406481004665,34.28349656212252,35.226483463407,31.437742200552734,28.866324433238127,28.11682495995982,27.592098212703366,26.487265087352508,27.545707649915407,26.885245882311974,30.355604960725163,31.35094545775292,31.563179964106713,31.286033712926837,36.31531723020791,32.73460145342362,36.49453952632148,33.48861422599315,32.12212033947825,31.167304929470433,28.42477503255016,28.06938516868943,26.211843548655732,21.951595690136347,23.421289570733983,25.39067838020855,29.10578606276261,28.50108238721354,34.193230134120185,32.98163482824122,37.118599832642516,35.60475423474228,35.14279109432875,31.548789255300456,34.26267490260511,31.121547269791243,31.911473688417367,30.562439683107065,33.77159082327676,30.43623581258907,29.948766711062447,27.398732131165946,26.14851784094962,25.113840115190232,21.92285471556502,24.564626641085525,21.976405807583983,21.167227850669533,22.766377724182057,20.633073899315196,17.633365242301775,18.52748073800067,14.529314757590956,16.706815970267165,13.553667525093429,15.285136232506996,12.839568374702123,18.167517399340674,19.885882208185862,19.065150374184668,18.8122083103182,15.238514799922209,15.304234162936378,16.918276368514217,12.967748459695295,17.836227443432715,14.78287535706141,16.119803208283557,17.17383667854276,15.715275962693802,19.15648302272381,16.09064166456227,18.61011019351753,12.872804466828446,11.009115021098603,10.094228802513815,6.976440968584971,6.109029673059492,6.832913562477795,6.707797941732969,9.933827693019598,12.341691680421176,10.822319374429393,13.531565982720581,15.7780495053032,14.05803147618074,17.40183649649938,18.40395020511703,20.915069622290172,23.627699887734153,27.241195600712285,30.914255747990985,34.86145587067114,33.8030943174851,31.05555949959643,27.312035459892044,25.99927599656139,23.952587583679193,21.057729681861513,15.868637991235552,17.613464009391272,11.659188317993964,15.03487092897929,11.700912198455704,6.0475302250503935,9.404795485893034,9.490726948931927,8.646012634599723,4.830403928734814,7.4671944826250645,7.1440685096500625,11.937075588716159,15.495508370827508,18.729611357278806,22.43219056271956,23.118854552746445,27.084405032593136,23.146470526102487,23.959580549361984,18.920344180930837,19.180147106372694,19.497435729844774,19.795345223606553,16.56853562656692,19.123213782915176,19.43304502277559,21.14051500408356,17.854921897468316,18.036957987687053,17.143515525839355,15.545532372709383,14.776726126518763,14.322515247842619,16.595052318815757,18.74674624133285,16.509005203107947,20.368469150719022,21.344188705016958,21.806222011766263,26.40429502748162,27.079930191963207,23.614464855487427,25.21706088277761,29.406446453144063,27.836956096401078,25.115706001014058,29.50646049387678,32.97237903591434,29.75482827557683,30.93522311601908,34.68414100765666,33.947336948350895,32.17036491610829,35.38645511106315,32.790616859331486,37.91188589403183,34.23595158812045,33.54950195891734,37.356836801811326,39.3783346796032,44.604397338853815,43.05248290192468,42.46457255225917,39.79646161608873,40.2564105290771,36.58493946421695,38.59363311009021,38.65071186935101,32.6356966250696,33.41648344965546,35.97613841265214,32.57698052876922,29.13367726811347,29.207147011737334,30.445055572694013,28.127836849181215,23.265085497775182,24.893395159919677,25.446766654448012,29.23603176453652,31.643006187141342,33.43601754164799,37.833587383906654,34.58520003600653,31.140735723047715,35.99714513835976,36.733078795754,32.04746303679176,32.77088232371505,36.88581819437436,36.25057471631039,33.92655376637117,38.152314749863535,40.22757377259392,37.90503230056892,38.29523912325472,41.37412273518631,38.877089230246746,39.49623656549707,36.39710679482686,38.819793818916494,39.58194023774813,34.10482397222859,34.256904538036665,36.5663947558746,34.832558893506516,30.49729540191711,34.641633768948374,35.788792173559024,30.681741333869315,29.24110842335345,34.06881789948812,34.08111155042008,30.592652483213456,28.184878340031744,31.44014349025404,29.97612501607862,32.93035671900531,28.822361017466545,27.91230904085595,26.77925282143498,25.797646764522856,23.67682124074762,23.946093310515547,21.541212955311092,23.403041811240396,19.482837758174075,19.37849214278499,17.211728299906245,22.02682319046537,24.76503638372403,28.58926991152053,28.273966963467284,24.556077194805606,28.534212622646333,31.067245057556974,26.68150852324239,27.67539023345859,32.20024265151449,33.94764816820687,34.02276429060618,36.372988669096166,38.214425022570865],[29.45535900436329,26.03452027598381,22.436586494989154,19.242809497638614,15.251210796473284,20.485441920581767,18.596033011745302,21.745072255621842,23.083538263987233,21.12124123917825,24.550489914719734,27.05945986132802,22.40317877768786,22.36727070091929,26.05235282472751,25.43233674530533,21.186170006724545,23.92783572711569,23.726735371521656,24.293645388307482,26.342130187553387,28.214571994993783,28.6408710018445,26.548489715900175,23.59194585236888,21.72902483899966,19.9335301492511,18.402454429451463,21.76024901149867,23.69073302948782,29.251348410195828,28.794193449345126,33.322924282768284,35.05161020043134,31.11903444900133,27.798186122827836,26.623736956130536,23.59549866701675,21.07622984488812,25.27020874433618,21.309921294250522,24.29673742548682,27.948198393559824,25.926383199291468,27.0306721727111,24.562182177048758,28.408933837670528,28.53568933619318,23.308082740637158,26.177959275354468,29.370017125720427,27.879809343892962,32.678574893881255,28.406809463698533,34.71710194477745,36.00541581891203,32.16452934038923,33.457390415227586,37.975746149014796,36.16160411292534,33.49397812860476,36.638580666607794,36.331515016416624,37.48427229315226,33.87847852319286,31.009380493638258,29.933537720493465,28.97020064416463,27.588649153672918,28.113650328340245,27.413949755759955,30.886630453494217,32.037110380628846,32.78972837783292,32.3747391431424,37.72035653554784,34.398787874556106,38.03595563404456,35.206268013389035,34.19808362294673,32.958418972493284,30.46352262536178,29.53084346751032,27.94173467306176,23.90120866264851,25.050247426888856,27.25734990423134,30.47917735417109,30.067448869628386,35.46316858348591,34.10755582791185,38.20095515432972,36.32675498452945,35.55312744652856,31.6464871927545,34.11785124715902,30.66093532716722,31.640251358593744,29.96070934370802,32.89438150677095,30.20760595012282,29.386165951032815,27.499913865014026,25.79332703771971,25.281426357039397,21.411524391021143,23.980709585618108,21.312050840184224,19.78022872390181,21.504686674521,18.797188279499565,16.374000066465715,16.88404655615093,13.274150374459218,15.857845707040841,12.938346269413131,15.579429555567796,13.49929479099712,19.32556467049641,20.481231268446326,19.153225293088493,18.314184209129834,14.318303267058006,13.83181537125812,14.897165338812696,10.866667776412566,15.474569017251026,12.912012346353102,14.47662876635623,16.54719763156194,14.666255218944222,18.662333679864673,16.333592190804165,18.954144614683173,13.080718772860125,10.55039026280139,8.310763917783289,5.486622761129598,4.640287817525804,7.418305208303596,8.593303710941942,12.63990245874993,14.280602380185197,12.275154705848825,15.442569876069804,16.88707679543177,14.568635146835147,17.30222595623363,17.891860304072527,19.73496889006574,22.265253814624508,25.666216437303646,29.50684173897524,33.09516533224185,32.4129074608322,29.998972927682285,26.4157971600904,25.141240656992856,23.60748418129167,20.65751812184394,16.044502134207928,18.553709870977055,12.961311694535265,16.942165014809095,14.107815934296763,9.064124224153689,11.724920815441351,12.056484817408784,9.959810718612772,6.253717350331239,8.370815520205374,8.140081308999706,13.400570577776003,16.67978609070798,19.833729150624904,23.139306985400534,23.70565496239591,27.94244330737906,24.4986522756217,25.110726980041363,20.524456724658023,19.72215598852629,20.699987125911246,21.44628990306056,18.412134916639268,21.629325792467363,22.049350937978367,24.11851838583542,21.264210541511922,21.13786910625591,20.103912566127907,18.195049744749745,16.832240989292337,15.652572858916288,17.37432515584601,18.91970889519463,15.853730062460825,19.43913082735002,19.683169687527236,20.10476653327024,24.51358050346146,25.106449912592133,21.41192045426846,22.73819201968359,26.984921331841583,25.184188741079193,22.088450195999567,26.624010406695863,30.193450079349518,26.634259715408852,27.706114017516793,31.52538316102929,30.75562908831632,28.770486908659752,31.99641344638247,29.430890298676957,34.687688653756496,31.099106313023714,30.55870752237034,34.419858789513945,36.724843071848795,41.87223993372604,40.63799667690261,40.18585833673424,37.74563831799832,38.48101133185973,34.92239458543771,37.23936270022162,37.014318833285536,30.893343852291288,32.11100288528641,34.76219914464902,31.105572847445092,27.7899185950219,28.359840305337865,29.288337298133346,26.536769727842355,22.232597620505157,23.194396880992073,24.310983556719922,28.106904047026003,30.08517171419679,32.12108625624923,36.35359253466199,33.24549790879673,29.544669899889755,34.08140082603191,34.92992282363016,30.141047753118446,30.506650149089793,34.558898005495635,33.826787014658656,31.267681464094856,35.55194541581743,37.55921134625724,35.026712515139415,35.36227343837513,38.548199142597454,36.08683049364627,36.97389050217903,34.09309869083775,36.64763235388723,37.06743335022266,31.482104660771032,32.040922079307585,34.20063797847385,32.22687825118582,28.11573520176837,32.560598134076,33.36969409516266,28.078571248238696,27.087851852174122,32.00799783986119,31.68071896048893,28.045652024796087,25.298827434779902,28.704486663904795,26.942111305004072,29.788791273422234,25.483479222092413,24.6652553611501,23.36577272185822,22.295406799167246,20.32419863829575,20.81789570994862,18.60988522672408,20.656554316586885,16.633106349938185,17.128300073552257,14.666995247211077,19.23455487202807,22.49338452396953,26.231378749504287,26.154933947197865,22.024767833283462,25.716813190930438,28.43793983971781,24.16990528721416,24.645252517059202,29.214229169588943,31.19072555639314,31.38042901956199,33.837396968843045,35.78511529670842],[25.077303601546294,21.747801240008926,18.669890344290227,14.937125000417574,12.111981448921549,17.395381981237897,16.314770760426427,20.20581038418799,21.221218264243905,19.946799184162582,23.55129680876146,26.29890356954233,22.429026419761094,21.841577467740915,26.2166878383656,26.13268706449477,22.239041965633117,25.59237052725228,25.925499897362005,27.115235161492063,29.442268682138188,31.873367245564705,32.287651464371656,30.39250609567576,27.44068048712443,24.97841558709886,23.216465627456767,20.911611704590282,23.869521766442116,25.350134322240702,30.56900552532915,30.08867620286531,34.53389842099023,36.80665300881116,33.15205175825512,30.083406588759107,28.906818636659114,26.68459506551159,24.616448010653322,29.357036304291114,25.590364563871212,28.159012451620768,32.07620999449047,30.40977871115496,31.629084451362793,29.355132510493966,33.302128418231085,33.342143600849404,28.177354495472024,31.284447884102672,34.36528359802789,32.66574547520266,37.34326881616615,32.8107118653404,39.00409475872457,40.486534013209805,36.551510153723775,37.43972138487687,42.08380309832334,40.52272890089913,37.48359508100143,40.22719266368293,39.51702623178932,40.75904800483375,37.42587264965,34.311168578065676,32.6365320996812,31.23952994766027,29.343075723710438,29.222106682529372,28.345673138806752,31.649212812018618,33.14608759334365,34.60824330252965,34.20323579771825,39.92113779475702,37.0796377760621,40.61329621333508,38.12514916436884,37.61734648193978,36.209662416641855,34.14959327453627,32.67845112957117,31.523020315672035,27.739405028971404,28.372363864965475,30.625535845677028,33.28378047753786,32.874907735139125,37.8508675420018,36.179977116406825,40.07043369854115,37.759178714806794,36.666801536661865,32.399156516302995,34.41460557137399,30.570408822426273,32.04254250933476,30.034495086127656,32.68573223675354,31.00148180282362,29.969237133834007,29.009238879804126,26.94583510223792,27.294223383894877,22.720790871013953,25.219813638574465,22.6375997944512,20.109647765476705,21.81543613542852,18.229599818519205,16.739009843113525,16.30329667215652,13.523170822931373,16.055693394504246,13.558306925191077,17.02359988646647,15.296920457118905,21.298154836991703,21.884206735546734,19.83213840798735,18.36673644295896,13.938341842828388,12.918293792330939,13.252978003917496,10.012521604319447,13.923029808848238,12.746142346765147,14.71981004360091,18.126997177823505,15.955549640780328,20.435744883556467,19.137063170474658,21.667003876922863,16.02351668414807,12.89036935062433,9.473195583674862,7.738733322914499,6.658319899091416,10.578972763812597,12.090887649265143,16.641821117395047,17.55398208516577,15.401755690714607,19.014157617970557,19.609777709783216,16.7706291836485,18.692653589696807,18.921053123366715,19.59737763965104,21.952432006585408,24.71477735069158,28.86345341713793,31.678816102588872,31.491582372863306,29.717700118937323,26.393936496545432,25.423033723583558,24.519182971944204,21.89598550964093,18.275213516213437,21.290862531519345,16.37592143725709,20.82118346442155,18.657860259849077,14.118816035593492,16.49164901676393,16.893089321276236,14.104266395276104,10.912392568054633,12.463935948772674,12.14568578440672,17.3075365878853,20.107145952881705,22.95048970438004,25.721624374754864,25.921442335503375,30.509777917342117,27.73352455824679,28.233512534778143,24.286330291673455,22.44121616031649,24.223492157977685,25.426741265844775,22.595480479871245,26.221717508856177,26.559918020655978,29.00946802565173,26.38400175444865,26.203578589916074,25.10800684229191,23.033234293041264,21.291572342501734,19.563986467225558,20.694696344361557,21.497360041820652,17.60302066692949,20.5868099610069,19.6824691224604,20.006149423197193,23.91074449830485,24.29936997617764,20.31564344242823,21.097589259765094,25.31455900741587,23.047388289034163,19.24726185381365,24.008484067269485,27.69317586773165,23.391475708961956,24.219177645857833,28.156146514164075,27.236425339537597,24.74669458430936,28.019529542153304,25.57172498110643,31.13793303757245,27.738205442840922,27.601874495070923,31.542987034042014,34.39413223114699,39.320861509887585,38.723610875610056,38.54871857625546,36.55176220846681,37.7513018018354,34.43780831262502,37.20610077008193,36.51693010877664,30.35262046661647,32.25405111720046,34.96314257335105,30.95780429309612,27.956816338927275,29.25771722559582,29.61482331877846,26.262950268236256,23.039384077173857,22.94638249271799,24.942670913680995,28.622982448233167,29.873250924701757,32.22606092066574,36.10461290657982,33.235015050361554,29.240547676628086,33.13880553988065,34.10204891148274,29.214961361795986,28.986252375234947,32.80564662691087,31.846716609438868,28.91910942059691,33.301574163929565,35.09691300009608,32.11978344893905,32.42976253970403,35.82651056472123,33.49419698826385,34.911186354896245,32.486986160892044,35.25632612879913,35.03295899110798,29.319993107945503,30.653646831518646,32.48138794201199,30.071739717674337,26.48499792186285,31.358093600038693,31.493741535758424,25.940927750714724,25.837264960480034,30.75654324015727,29.757584887809138,25.905064836850965,22.524372579281128,26.02972633717569,23.598797230759853,26.300200023068683,21.595274387160096,21.165373498637184,19.42695783738053,17.9935126092156,16.55104611224569,17.522899358280135,15.98487659245472,18.48800392253476,14.474353579956793,16.226315423321374,13.246487983575992,16.941028571101626,21.068376966215737,24.520495916093008,24.7541708846307,19.966900370207334,23.020537849950053,25.945613099252817,21.865002869338372,21.303905715049677,25.919312075354615,28.21272243766708,28.63907918722017,31.275581505878417,33.37525485835855],[22.681591123740326,19.28800231008054,15.625106962549175,12.471175458098513,8.144139268176769,13.1939155642366,11.685437851106672,15.234445691900373,16.880359577098424,16.026982343716806,19.766073067179224,21.98196433480071,18.374916885751976,18.593478336054766,22.86575693167659,22.49918240143865,19.170049077623876,23.03615586573643,24.396501614804077,25.189234112684627,28.16751075163247,30.6142019939715,31.620502438140573,30.211861503988334,26.773943613548074,24.197719417567175,21.658693363012638,18.83837444039457,21.005309295182876,21.697532892400353,27.293672771251458,26.061262269880945,30.518503172445033,33.171015981441755,29.51822475831985,26.917359070095916,25.174504241585883,23.89881983482568,22.12646101821779,26.952294343268818,24.059986081593287,26.600711814302908,30.492592437603605,29.365814040960007,31.282423367592948,29.51298556679993,33.47452702107551,32.73340263718217,27.47864207702512,31.02187639482049,33.433643358211185,31.318077397338833,35.69899857991192,30.816736763007665,36.65166512337535,38.71335405988354,34.93436611569626,35.15618423673923,40.00101377699445,39.12937478879193,35.94602231497423,38.3110278981151,37.233736540569,39.11526310315198,35.98838778342956,32.391474057932186,31.114452247452217,29.120143859658228,27.77003815641424,27.10820428525499,26.77914647394851,30.349644904137268,31.240072917596258,32.96909167401912,31.837378831177997,37.54619465345454,34.62840538460905,37.75125478189282,35.25268391738397,34.99818679546077,33.048500721031,31.174819585937858,29.005838687593172,28.145052957949233,24.791512086972965,25.111732816589633,27.785326676129717,29.75442766133946,29.982466577368278,34.53089976329396,33.14568208261708,37.192257940689174,34.661966448217136,33.17594398440845,28.847113123437566,30.939960110050315,27.08660179075233,27.934460631966015,25.61109451774524,27.829804293032073,26.326261063462148,24.877297197685866,24.29708340943286,21.916741896292965,22.672618615449142,17.858541978044382,20.54888038274039,18.398759511608542,15.644366684413605,16.853911571691206,13.065925096732729,11.565486228649899,11.163962104793828,8.894694473343701,12.360035070024283,10.909795821198978,14.946175144654582,14.664131373373866,20.602028845561964,20.071591565374245,18.34878115740206,16.195225125199954,12.542688533321284,10.346002933482724,9.478843073643,5.2671302384222844,8.700739088700072,7.600670346319894,10.089946210110023,13.834336222052245,12.67000635523684,17.253595809214662,16.605410305877644,18.211311163144618,13.142655705353949,9.290051234269276,7.003184568802199,5.303225195717281,5.869694721228367,9.31262442691483,13.20392886949234,17.250260373616467,17.072215101681,14.120253748103702,17.238049629445165,16.839212159061066,13.739555131409649,14.669556904457664,14.232976227896328,14.664116385544181,16.69029407014947,19.637534799562097,23.619161921097838,26.662095302520022,26.541135050442065,24.651963160071453,21.48938812083826,20.285634099246128,19.792857339056596,16.989998950199336,14.078746111508378,17.739221297465278,13.78473134089777,18.309424553914155,17.029455043912627,14.02799836700971,15.820242947647673,17.55114076266685,14.61755225412633,11.343550092557313,11.40767797591583,10.29428080355882,14.74793617117155,16.81608199794108,19.29251026523058,21.51343446819441,21.686512916638176,26.267744628377454,24.076951708050892,24.382615702981788,21.204422956054636,18.443019190448297,21.15045793582404,23.008495586355505,20.339614396196325,24.32758536574231,24.624292693167515,27.733386437615756,26.20116447949417,25.683462868699213,25.01828332237995,22.09898695417922,20.511668937833857,18.41066219956446,19.23079329617097,20.114651972743285,15.837842883489945,18.30501241417956,17.328128130695763,16.520850797446084,20.76183057641976,20.362087258174355,16.332210131568182,18.12744018951234,21.981147747403792,19.279219926357783,16.567817845372474,21.329126946382054,24.22324550228038,20.220280871853127,21.731377287805817,25.441953979973036,24.09349896427215,22.350120363957274,26.04470472146423,23.938141057374132,29.061823239549913,26.748345865480943,25.845091531851967,29.478830694740637,32.47504296723701,37.42306954286837,36.698858361317704,35.93732027415214,33.90006702642529,34.83413366332632,31.202723300361203,34.34450534340311,34.126906073889,27.861805640470156,29.547511668150324,32.92837935047512,29.247319511014425,25.95374898956323,27.47622271368986,28.66315478239304,25.2178861143775,21.688006396996055,20.896253945802854,21.90909094193957,25.569661141868302,26.464655183730144,28.33190302723821,32.030979027003895,28.81871702711754,25.116585191376203,29.03918100967531,29.5551821244937,24.603111599509987,24.82937494719184,28.48218260007211,27.38673349244802,24.841806738028254,29.432009551727862,31.063870953719025,28.22263072478115,28.993839428813992,32.402107393480335,30.2980192575846,31.526832316682768,28.916833662429372,32.0243695710323,32.15640149726806,26.423286337627687,27.80834474017322,30.18133270116635,27.938068832535773,24.342302236210507,29.55590638411843,30.22210305417253,24.77388775088254,24.67280912388318,29.98441518139995,29.411637183928917,25.69525759783705,22.313795359286132,26.619782102351106,24.424883135042204,26.263103659690636,21.433885092274583,19.927743177068713,17.66884174993181,17.646613032854074,16.173187574597794,17.904665721153087,15.833772873935981,17.054812706821977,11.92228126430203,13.00561842282472,8.990254264346698,12.869358236604807,16.316147129921156,19.878159080470944,19.70723628563625,15.147582339356468,18.73976728868446,21.337734818098856,17.04705964837431,17.3547773879718,21.95012475799863,23.901047785690746,24.183642871148898,26.77250986684038,28.78439801984633],[18.79564080507977,15.688772847168007,13.384575368028974,8.627720712989735,7.869920308933304,11.785828608696363,11.705976492698687,16.206881845923885,16.72326239697364,16.579186865103715,20.197995368840825,22.93720205931043,20.387732818280103,19.42329559359826,24.35202862550961,24.830469236890206,21.814796188932313,25.892814634370218,27.291711734906073,28.9487661374728,31.82773399676216,34.84802655360833,35.53937996413855,34.1706558723477,31.01155609777214,27.90275495735253,25.8688593066783,22.6295095575464,24.655786087831373,25.259331783019622,29.94566762770944,29.210108149711775,33.39087194199421,36.390273531890685,33.191496506486196,30.68995097990106,29.396793342688913,28.518275259942563,27.163755830427306,32.49240778714302,29.317680870779675,31.31407116304585,35.462170389934485,34.49979020817889,36.181495651370724,34.441392959933616,38.52330760979142,38.03626326745666,32.96753997866297,36.64453202999933,39.26308305888701,37.06503281755972,41.408759008832476,36.433002509188164,42.280752273928364,44.181378176562106,40.20508447785712,40.29125983907269,45.11777830255669,44.191140965520795,40.63748091597337,42.67267556289898,41.31941673850937,42.94379078940163,40.085798319964425,36.50966657786421,34.36954411406836,32.216243181894704,30.058110879653643,28.920595906980502,28.155752987591836,31.296183548048703,32.824237071382825,35.205616303306016,34.46067857684488,40.479978796777296,38.24241813521799,41.407566614046246,39.38929612372162,39.614848502567305,37.85437271108338,36.487495430811485,34.21237598909667,33.78951826763854,30.51897664299404,30.330393383194124,32.65540330903517,34.33396658917908,34.122038024849566,38.301387355685755,36.38738482756875,40.003602715421756,37.12444778819475,35.51646141206981,30.915329188003813,32.336036599734165,28.143246111275054,29.94954960748577,27.528159304386868,29.661250029069357,29.33022054017697,28.11350108692047,28.399576901616943,26.118756227018512,27.765032241438494,22.684426422936653,25.279759048330245,23.346095413801034,19.86328163644155,20.896323165837103,16.38400779044842,15.910794205581059,14.048403337501732,12.877132221195819,15.020440051072535,13.791394038509088,17.904841687547894,17.392076489992217,23.077050048824333,22.43702275542025,19.87654012906389,17.462504029792026,13.470326753106187,11.409929694840264,10.179897158333322,8.987498733448877,11.018378514756721,12.250099042023816,14.824024136055568,19.257763265917795,17.859920870138247,22.48542018768143,22.40458280875607,24.070676246860998,19.22846872134524,15.422664780927843,12.570528990601455,11.407852153359244,10.581232616296905,14.22691814176274,16.835122483960294,21.325012964393558,20.965654298788536,18.47085849785377,22.098374190975633,21.409027921300492,18.179016216012986,18.715417554235714,18.41748855047274,17.46993519414604,19.48665451305026,21.14913699319224,25.558913046501896,27.297026027932244,27.640772241091888,26.72817080191675,23.885603920554264,23.423143495070043,23.35030370253767,21.472528593435754,19.474512688218436,22.820046413888,19.269413936555306,23.983454952876688,23.002715452394682,19.59219972300628,21.785987691249556,22.99166225328873,19.92639760515722,16.77199209018645,17.38540619343506,16.387520652471338,20.898554291720636,22.79190620377521,24.936286516081402,26.83090152366091,26.425426803142905,31.31911543608351,29.62136376927621,30.046439229429616,27.253664118505533,24.21463033428713,27.273049716945692,29.21612941546756,26.580849911389684,30.481336951659294,30.51355167742991,33.73738340438031,31.825812280039376,31.62538421168352,30.859295590203047,28.180375341421627,26.481819923325148,24.312998556132438,24.933100041558706,25.306570434257942,20.743003916263113,22.752693199149885,20.779376728147245,20.14249427835701,23.494447486348054,22.948630619506,18.81985199100779,19.67815588312162,23.30131536316887,20.043137769044755,16.338192004385657,21.216049262800652,24.191474983026225,19.01005737917698,20.052548318382243,23.880743784000042,22.206153183118854,19.5060948086987,23.306903327667495,21.481126998704955,27.098561621969974,25.056353341272022,24.938059089954443,28.63418283250632,32.355785038858095,36.886932631263065,37.08119327874022,36.80109670308645,35.38270121854459,36.90709332834795,33.70039446683691,37.22001594124238,36.39297649413188,30.26042602223063,32.696373144508215,35.90629091616194,31.865603730012914,29.078414262699788,31.212907039964588,31.57951338186474,27.656671006778154,25.416669489781807,23.807333775626848,25.88592747471214,29.29678520362961,29.440035966169624,31.65344704929636,34.85732740189772,32.01450391034014,28.09880051280869,31.102664929638127,31.729448305073515,26.810235873230383,26.249539308697383,29.421474242744374,27.972883170883936,24.979422145920797,29.628454976582184,30.8552837159664,27.30313387084539,28.098160116054974,31.804125285080268,29.955130157356052,31.968946620800875,30.08338018841038,33.37458593384776,32.59008383912196,26.829124740172734,29.232814450627714,31.01937851986592,28.218369517003186,25.465845588925436,30.97747114465714,30.65572785162442,25.020532244733364,26.060468529960282,31.089113935105235,29.591704713747202,25.68598892692724,21.573030962788653,25.63661022978528,22.49729703083236,24.211663978065115,18.891041511697086,18.271699616168643,15.226836898635055,14.43521849619929,14.174018847142657,16.531485574154058,15.766025079142477,17.742333514835614,13.285646948489376,16.002711918664367,11.959998680595508,13.831137089129403,18.25889144153915,21.157592463264947,21.298548862548977,16.031571781679496,18.38551466653894,21.054991241385206,17.064427849967178,15.576742137373596,20.171477692569606,22.469350487973518,23.140840265841426,25.995826632723503,28.23455844048767],[23.046364972075633,20.192909900949452,17.72625390406205,13.080313140441179,11.026516493332315,12.826122282256078,10.48888442942092,14.193504304086426,13.807251177834925,11.918220506577525,15.365906717593345,18.538747262163984,15.012570322886145,13.692705196951666,18.422413525735827,18.901596216732155,15.468262090026906,19.360025053713294,20.69969615435343,22.548935021363906,25.452574072331778,28.721799755379077,29.442836894203516,28.36117845919461,25.168394796730773,21.75824772932648,19.798934777592475,16.327919513376543,18.376710559782005,19.3745753743216,23.719658359493568,23.603416763339972,27.76909991548189,30.418901404877,27.29467990519994,24.53657040914602,23.793792204399278,22.66537359928507,21.639558467976485,27.47384419960237,24.10984409507735,25.496076558536807,29.803363965540207,29.219311039758,31.011781049419987,29.757516252473383,33.93618250304172,33.16311958933686,28.447354191696068,32.73317107007182,35.15479397417582,32.529446938290064,36.621913103707584,31.478559229193365,37.2803741061902,38.94786023082303,34.795277613798284,34.67777974217855,39.44237961379723,38.57325820925205,34.69297934228531,36.45655503670453,34.988372017418804,36.506498445121636,33.802362846201085,30.20436139938735,27.813417405004078,25.62816078406786,23.412505421261486,22.354475573143457,21.622791774787018,24.901075021936062,26.28656534847659,28.563907498604575,27.877266072934184,33.91015721696278,31.78813689287368,35.07105427984945,33.218492937225285,33.62777984919636,32.20644593396654,31.26787433567181,29.360736085631185,29.364167582185246,25.99345083233221,25.192294323749273,26.96646364975155,28.762406853277177,27.980060148745945,32.211385801423354,30.051435422106163,33.58200399327509,30.823925688173095,29.481435931362373,24.979335651686792,26.566599557719506,22.53665800786072,24.60422356577664,22.69451129722113,25.770055063963273,24.67473005479858,24.59675323114739,24.120753358683526,23.061510374549737,25.0373313076331,20.748792550550387,24.30635453760448,23.086941796511603,20.395243285164362,20.433722906529663,16.21271970310755,13.790241372630657,11.163092438040774,8.693051134016184,9.187183534810549,7.42929384774994,11.390822793828441,11.218165989738486,16.668657567542557,15.791587321527617,13.275131719202541,10.93622864074448,6.925968036000566,4.979258622912387,5.536242712256842,5.795523608987184,10.5789252604212,11.446886164527147,14.936504115364245,18.27804640178883,18.5591309206687,22.957909502039872,22.149148856824038,22.86340763571716,18.149855023553513,13.706259845241554,13.286928270037345,9.77288258436436,7.488529556387577,9.845695577788405,12.614602626331305,16.619024370564098,15.2967125334177,12.90338133098044,16.6242700787574,15.657361568563628,12.508306384351036,13.4160887277645,14.18060894349295,13.641030061935897,16.996953279384833,18.534186338997543,23.360031526469015,25.473904007473983,24.6974448873819,23.396332042765486,19.932229942202945,20.12038544620253,18.886186690857123,18.108094591878952,15.695622548188172,17.815863790479533,14.611703477790341,19.40181431168252,19.398859624499632,16.77594971862315,19.848315140974584,21.801906956511463,19.764559668723432,15.857117628545295,16.25702770839845,13.818801926347895,17.761003131754123,19.276347886177174,20.864661144944538,22.969641589034115,21.761934501110463,27.063341375382638,25.31661553136358,26.385222011207784,23.794996528554023,21.532929883971597,25.093248279454368,27.16724806236969,24.09391869928422,27.09197416252335,26.223112240105447,30.01855196163375,28.172992578615613,28.735373184975394,28.745487776138557,25.798262245665555,25.2268327509672,23.685341812357176,24.949452567068917,26.304549778007907,22.224772285335877,24.65660026913934,23.661151709851037,22.273449358146475,26.4665352514341,25.318928795958666,21.28718015062136,23.498024839513263,26.89811479661559,23.407772263965366,21.044596097519683,25.861479386231128,28.0316086000337,23.32096044297522,25.088811192767604,28.659149593815073,26.41010639336631,24.463967158418193,28.696231420302677,27.191570184684466,32.439215754293635,31.03407063656012,30.37699277066838,33.85962979489976,37.461398723270925,42.11901050602051,41.935214000592005,41.082750302326275,39.34931763745567,40.34940577381124,36.64936879736187,40.14578634964361,40.041494834035596,33.79963199498343,35.54226688255267,39.197807240454935,35.573608857679595,32.295712831214374,33.926690932322735,35.21381856125477,31.668370305538527,28.26136417044432,27.20889557650902,27.87756411617519,31.4614518693318,31.959439302891692,33.40077739911841,36.711112526955986,33.15351347552181,29.888370868139894,33.42572357079874,33.28798877130499,28.30821458385799,28.821077317482832,31.809719262494053,30.136596715295127,27.922286368690134,32.86038339904804,33.820413793255014,30.426540597541656,31.994473418925455,35.6962250771036,34.11067494074752,35.74855902926751,33.44387803477971,36.96696543293865,36.85043530082255,31.11353721841473,33.12778806024801,35.535796407829345,33.069361597282,29.949962207329737,35.44421517952222,35.83148392398026,30.31106251730661,30.759132624054185,36.0480394980217,35.11552000203608,31.30628076200876,27.48181326941974,31.7337603986605,28.89091437004164,30.550070188278042,25.28595817920083,24.147665010573608,20.908187247494798,20.849120402142855,20.39905666099146,22.687740530313082,21.32696793555529,22.722514578338675,17.486494106498707,18.88286861877368,14.126053347466502,16.837202265706505,19.751320637822875,22.953780619956586,21.849228634707814,17.353564109404775,20.885264541146533,22.51456470671271,17.48376147042713,17.983084553025513,22.531304633734145,23.667277487914465,24.022853401207154,26.746195799207804,28.81787438517639],[20.6507312327433,18.2417014418192,16.561968394507613,11.646791841729497,11.159518223945728,10.532974766268406,8.41489095450681,12.191133092229082,10.700744565885195,9.427462394325232,12.704269534845889,16.057326307002995,13.728499176721908,11.800765994538034,16.917692863351878,17.983301060871515,15.43794726208469,19.660389052169783,21.727928650873384,23.926505959695614,27.0746360723646,30.698164950285328,31.548580933632454,30.860017456433656,27.669081574409635,23.926548776789673,21.95353403618865,18.02757434738907,19.239198180828435,19.576529664434634,23.15361735633339,23.035509679380503,26.85652666878713,29.959210974469038,27.304426481320508,25.005708515940455,24.351779712789153,24.197353176712017,23.7634267644983,29.83228486620967,26.88930057502051,27.772009907602072,32.12564497096488,32.02821432802424,34.033123017840595,33.14736248241063,37.33221938092367,36.277727999520906,31.76258447123662,36.32474346105678,38.45858148355172,35.55829076690934,39.35647930242422,34.030851030232405,39.50686418885293,41.35732885361017,37.215073878544096,36.575352348612114,41.35436450999854,40.88987780033382,36.694468321272005,37.90745076916228,36.00409073267557,37.70434311233668,35.41261042117103,31.60138048122651,28.84691472217008,26.18076272290587,23.763792006294132,21.92402898712192,21.27214634647656,24.297149552956466,25.701588096717146,28.658858600867042,27.79034701904393,33.94260044779945,32.37439587262744,35.35895970463831,33.94014634612005,34.9032283755801,33.35292359256813,32.98899111063346,30.664693985035136,31.224484130670323,28.257566037450303,26.857423929134317,28.50731908009516,29.588794715797626,28.82675812204799,32.37065610727134,29.98488838290306,33.187231000856485,30.046302525179126,28.379312706457466,23.69302578733353,24.730779835261874,20.46798184874571,22.972258103596708,20.883132615249124,23.73644935097767,23.66863596501036,23.75787612611961,24.125628202932013,23.213536101995942,26.11663612308514,21.7865390109005,25.412009479862014,24.733071767379002,21.685468081222997,21.139329674130657,16.585211175277053,14.709272247798992,10.957641275387532,10.015184332968907,9.466701484895108,9.210358405691203,12.894944774140992,13.67462579229198,18.241728150901288,16.456133176507485,13.662332146755174,10.680375973918274,7.886219725832883,5.433909821128808,4.353955741494712,7.852512242782522,10.676720935130287,13.106361300242288,16.71652981619622,20.301899966385424,21.101379937669133,25.40809459209724,25.174066797951454,25.37621041282535,21.241748560252308,16.70856056482756,16.565808911845927,13.5906367171019,11.741600502100622,13.667812458497194,16.531254421729905,20.232554452549085,18.25472928160762,15.942885985962482,19.37069177992186,17.614095705320207,14.524269979649151,14.32417793488875,14.842278562477057,12.972987585819073,16.216949012510568,16.57222834263084,21.658195316979217,22.83333531262233,22.20105929013905,21.627186961980623,18.508260536067816,19.36609280339429,18.589407994614323,18.74160791526292,17.58271516675,19.571762693987566,17.521708712178206,22.15509957542682,22.864521264864955,20.85413008801504,23.77645220602814,25.99832192292037,23.857190563170075,20.036756240645904,20.12918562151192,17.558163509038664,20.96073622492072,21.880476231167357,22.900218947307962,24.369856984178757,22.631110643060186,28.04362305657994,27.074694967193317,28.160099468578608,26.37824124684715,23.588125156338467,27.806763258007496,30.233516835706713,27.299995512308936,30.292916807037933,29.188476610513483,33.36522510954334,31.90450761946379,32.51378247375862,32.71565504773596,29.5310699349813,29.029028540526557,27.332923949861062,28.371832470140877,29.54615559737174,25.244305584605588,27.209281943732723,25.781607787530064,23.888381283360825,27.73472077109675,26.003888654265197,22.05937623053795,24.402454906524536,27.303890524751143,23.283506280429478,21.331127955075925,25.981998974815117,27.485694740819774,22.450523174987254,24.42573167204732,27.734267023107442,24.90313439759517,23.047970323344817,27.567893565774188,26.596414373702803,31.648218955611977,31.21198388751488,30.529680650382215,33.74776076105994,37.792452681955794,42.14719788071722,42.403461963212514,41.43630736222785,40.04033246968697,41.15867108646277,37.51679518173729,41.402428594006054,41.29676356959631,35.14751710513831,37.093486099062694,41.01860555531816,37.446342591248225,34.285847673993445,36.28481065918687,37.61507419339595,33.85091071609797,30.897943980042843,29.16721259188984,29.75410678836922,33.13893309976175,33.03735776207938,34.27094042629967,37.11745495476555,33.533209633261606,30.487254421335365,33.45484588098388,32.96610594019074,28.07137304786022,28.538099159168283,30.96756093823848,28.930625019110888,26.895928752490615,31.951410373086198,32.42807858377187,28.71276025830374,30.764679315522958,34.602065554964945,33.429043046645575,35.369361850547996,33.39764556484629,37.215244971944884,36.84110280124114,31.202869994483194,33.76745555331287,36.17663697005151,33.56738779410644,30.95372488931851,36.69235418936682,36.881074275067746,31.42904813357002,32.416323186927315,37.696544375543134,36.549131985789906,32.77970979973609,28.690021332960193,33.12482136520811,29.988149521064095,31.09713688732635,25.67574053518821,24.443067816562014,20.571892649341528,20.99807458471324,21.199797337244725,24.033545513158916,23.052657868033855,24.124972320014955,18.860887293454663,20.52730905285917,15.463736307576255,16.97105392288963,19.562761294836914,22.2721067554912,20.844552609046847,16.409789647749587,19.497752003891723,20.538543354157547,15.457299319049053,15.77419230749586,20.06676013348819,20.78389108766453,21.249625831291027,24.06464045054833,26.19120838741158],[23.627717968545838,21.648639930818337,20.673844994076614,15.457276666155975,15.800392159904389,14.48623690792837,12.350844931292169,15.45436049863864,12.65284333920324,10.381075925801289,12.62372526037364,16.67896357031704,14.445778766109965,11.013073317912994,15.983958731935882,17.77741827297152,15.146309452155192,18.760284495126424,20.29847935358589,23.282760520878366,26.01490908124346,30.05948420879827,30.514196911120695,29.941212300608438,27.16762985977387,23.07691741536087,21.844417597393036,17.963172319360456,19.263342969272376,20.11937856881604,22.422219330686346,23.45833371068814,26.901973484541205,29.682673679760434,27.465836402057434,24.95451713738994,25.213639982471737,24.76059998008132,24.681611396968645,31.067486392066552,27.680395676378556,27.841890989623018,32.314357725978944,32.39503226279594,34.08344188889022,33.416017828021765,37.62670298442966,36.77050862921433,32.70414150863457,37.48639199971746,39.75947271169064,36.72953667881918,40.37945793068127,35.109033384001606,40.580220430712785,41.97359426696316,37.62835340652793,37.0116992208641,41.58213599500065,40.904924780181155,36.395221948447734,37.314557335735344,35.325279802962996,36.519875946874045,34.49782057717912,30.950152069195514,27.373828108399486,24.878957695896066,21.694503556284147,19.80688462517541,18.611763391639602,21.153440168250054,23.181056331770684,26.392204823087976,26.171812445737963,32.389211339465916,31.449832539605424,34.62912086294942,33.67589422768953,34.94319262645765,33.970435898315806,34.0997170792706,32.26664809791831,33.16790842940214,30.099797330432757,28.24961826926501,29.158573439319518,30.379155615981922,28.748926232670588,32.15246501552959,29.196660726253352,31.881736160880937,28.76533287578631,27.449844013662656,22.867734466042272,23.454506962201894,19.279624889602974,22.897676199196646,21.4366755647128,24.996594378461015,24.953604972578244,26.099665560641043,26.20285217123466,26.215703046450198,29.35942902080921,25.516524796408557,29.42847092919321,28.962117955277854,26.152786690052046,25.37273407250851,20.96631460297581,18.61767787240473,14.640095205556786,13.313873222847446,11.04311372109736,10.345104101658134,12.785269697388687,13.140299925620324,16.64440602166159,15.07633993373086,11.733559860697426,9.30461265935543,6.977469441751377,6.609200608038305,7.749582731152049,11.823050987584502,15.186958790044567,17.435468753379364,21.126227571640765,24.35509661324541,25.388730976026316,29.65618510519283,29.057223081404867,29.158466185110463,24.93199815688561,20.365760959734885,20.53933157628974,16.919716553765493,14.22391636882212,15.575446086768695,17.130183174349984,20.506657514025658,18.22829495834655,16.708131019739817,20.268817711453327,18.65242524328558,15.969996653113412,16.19760757583395,17.577610954634455,15.763527624267287,19.541177116616645,19.201048233450773,24.43543311799344,25.060659828255687,23.88477561091521,23.643568433754634,20.41215659148152,22.067410284200506,20.633970547722917,21.82435913786624,20.50994877628359,21.421187165697596,19.516836517201686,23.997310065562246,25.03952046186153,22.94776809565426,26.475322034532624,28.532317508795934,26.879766949664145,22.84109470411054,23.297329899103367,20.423049682704534,23.730094532438276,24.633088252724257,25.360956012129442,26.978615470178443,24.63116268430442,30.224482581392127,29.244107826885056,30.78174404140569,29.019771837824067,26.88136188558763,31.090278296098578,33.38971498326902,30.222024215011555,32.57116217497968,30.886976419684256,35.16208923333948,33.28558169195994,34.5510163420647,35.01800242016358,32.04675375094711,32.032745623977824,30.710329759892115,32.06657095126655,33.51967850138538,29.403047219599397,31.605583980060956,30.3413451337148,28.52369998428848,32.43522382563519,30.67721890569966,26.756231983930018,29.084470407199127,31.968397522143466,27.87456416855057,25.846903116387125,30.486717121095943,31.914117188991515,26.70338671648207,28.581726150026658,31.833491354418037,28.80681081020114,26.75608682415626,31.281202557528573,30.479298561749122,35.6104884342182,35.24374286906019,34.82450007935646,38.04606254478511,42.23044544007839,46.48003544381755,46.92098051538921,46.0312927375362,44.70786485537784,45.85355043438858,42.20980382702831,46.09494926978733,45.98998052133483,39.837847965033355,41.76779385220777,45.66125001779956,42.05322775289889,38.88746496608102,40.782260248700126,42.056763585254394,38.323552213318955,35.28299325799103,33.76077276715301,34.33211135915881,37.75774397731398,37.718538117063574,38.858482021678206,41.65795716669166,37.96733372920453,35.07437971304365,37.998608011668075,37.32577457941715,32.484959683624616,33.05266088249204,35.26924703157643,33.075472809651494,31.176471174443975,36.247260941553485,36.48495856462416,32.60052975580442,34.86568745054911,38.759693464469045,37.75226080349818,39.83297092908709,37.97292133533431,41.84225211795458,41.3670158314959,35.75442966878818,38.43510992359035,40.77769506776293,38.0909786478126,35.568179099587645,41.30337622757064,41.34136856952179,35.841155343530346,36.91114231957741,42.12805105182588,40.8100606415597,36.97920515475286,32.785454914809684,36.98338887067286,33.59707696355012,34.879247141129056,29.39865471405654,28.56671509414125,24.593872405036553,24.630791124479284,25.132011505272786,27.889827076579305,27.175061316795457,28.575184008961653,23.440385780006395,25.175257168860874,20.135313469271832,21.6382596138777,24.085557199064997,26.661021441683335,24.95632454788719,20.778227635739775,23.69024855879858,24.326288477238894,19.249181479626824,19.550419570873693,23.52688246896246,23.80284369523141,24.282519048916964,26.998930294367185,29.072466616786816],[24.710308498260645,22.78602379229945,21.39025668294763,16.95312263800854,16.317549533472686,13.897335928339427,10.760289403666592,12.563691720479854,9.307959718871887,5.952668569727704,7.940017758806048,12.056283901405385,9.760827644461544,6.273329363323006,11.37897122829141,13.148320365429695,11.15111687251868,15.124622309979395,17.692532998275745,20.34417008334872,23.555338198368624,27.593068813791742,28.524207642899928,28.443409568155797,25.382580144703937,21.279059940440487,19.54505087589696,15.333974906798668,15.678554721756154,15.90230038399482,18.04561133593266,18.809355003542144,22.165052676529044,25.145654877990932,23.057218873195527,20.912608239739804,21.06082661276345,21.403042597548247,21.818802161191662,28.219655126705433,25.51649845982907,25.36249935520613,29.72353703915858,30.336658696612425,32.49499580007539,32.32676409204758,36.4514179813975,35.0096071016523,31.123132969175085,36.20776804732968,37.94108665671524,34.5886927483591,37.8529826006915,32.427430494541504,37.48175987664049,39.16690644775076,34.96346392577927,33.79087173321632,38.3966257310468,38.25975793830951,33.61889631559541,34.12348838321241,31.813033919311824,33.48469721512998,31.71775896726097,27.835364894574226,24.560764784837566,21.532053883111992,18.906045153456958,16.442928733178714,15.920149798197839,18.802917219635003,20.031943694689115,23.450233796059624,22.528120870745422,28.716366160273683,27.777202065235617,30.615060891389234,29.760681710134108,31.3258899790565,30.103475341656136,30.612857629467513,28.478838730002632,29.818725948501598,27.1549580395643,24.80390385237394,25.678403836856376,26.312973966193013,24.921575669576605,27.878163420026947,25.041520397921513,27.801706141844807,24.513432870816366,22.927983949658152,18.264809892896437,18.96456192941769,14.73371471215409,18.079760426276493,16.62962077684901,20.404008949718307,20.262749754526997,21.825306339878168,21.95623710521777,22.50386436220323,26.10290971288741,22.77397834406523,26.959544751246245,27.131563888317633,24.6886636750325,23.2028671947841,19.17785402770005,16.345093663098773,12.054226144228297,11.216618223474692,7.779904334910143,8.578839045463933,10.530296421370311,12.498395537422107,15.21567088898638,12.36552329955277,9.614922352017462,6.345149701967189,6.556217847314472,5.458267856808135,6.216458486447707,11.193710225424608,14.023669198443688,16.35072483725435,20.079348312105747,22.673151293010633,24.74245694952148,28.627063252226414,28.1472827187924,27.43305046385931,23.934648175554564,19.37858455650399,20.795096581416527,17.084640900293234,14.902589414832963,15.274557217335998,17.76808373140754,20.39588162650595,17.284862202947846,15.501994653464754,18.3345080895633,15.886080426995354,13.441457478378068,12.763874536165313,14.244037181731247,12.125060520581906,16.199569224488954,15.480932411650837,20.684260393862523,21.492705754055123,19.736225653583464,19.330444741628636,15.997753600473397,18.097974325944758,16.411039385720745,18.47228907208386,17.885652441177726,18.30023520654133,17.6608227481154,21.73995202361175,23.68041647828433,22.77493551255527,26.04130177749871,28.762949779626766,27.36472205500298,23.35293283605922,23.19422241433252,19.858795299248335,22.19386629651728,22.379665677785948,22.453139548458562,23.60310867463045,20.79071304587789,26.373799934147776,25.9285915925695,27.583451567228057,26.573829220207646,24.35619676873315,29.06805034108169,31.655104556479145,28.5916502419738,30.674552712092158,28.689702426838274,33.40032403490642,32.261472806652726,33.50973287956933,34.40998204757195,31.04463904643002,31.44485089702151,30.20115004805747,31.542429533117637,33.251591469489846,29.319413403078286,31.30959612867901,30.361574683898088,27.921415415524066,32.01883694677067,29.752013729701392,26.089238706910745,29.1702241082202,31.679162285917943,27.48246092170143,26.49647487388204,30.922810714074142,31.65706041534064,26.998107634465246,29.381659586420614,32.34621808043999,29.044718027811474,27.760901859064393,32.4787166980535,31.892100229709914,36.55805132882965,36.82997230587001,35.84359381504331,38.79638666346721,42.87526957181981,47.15256443314619,47.3280006650011,45.950448715360544,44.49653402627286,45.29066009011233,41.3966031264601,45.35983067235846,45.74472160120411,39.64838130993656,41.186178508202765,45.456145134908645,42.21568751955988,38.83373512538359,40.61308533320068,42.52763402268124,38.95802410677537,35.50505929477639,33.913062363672154,33.581546845877405,36.90949006051513,36.80932365211575,37.38504638991689,40.027193472529795,36.00047412912855,33.631827408950635,36.63650748303665,35.44065434492186,30.73181571477177,31.92850223195818,33.89164928349642,31.60411960087994,30.300434781609454,35.41826837977483,35.475401385910835,31.869990230839594,34.59383491236042,38.377709770383085,37.58262845942878,39.347375987159985,37.27280519118663,41.286066012114254,41.262972309838446,35.78762007923204,38.25519887729536,41.0222601597397,38.60621068888178,35.9863080417266,41.720560095110386,42.27155087087556,36.9574814367807,37.76946574136711,43.15652443203146,42.27519941562296,38.59057563337314,34.59556209314578,39.16465795151077,36.10041650728591,37.02338001872677,31.62092685715169,30.12619665120009,26.079256585633267,26.94071941642995,27.200316405254743,30.106572882761863,28.949130883497578,29.659298096916686,24.14477072431337,25.15483429955647,19.969106292865373,21.435255318065575,22.77175223521461,25.278560312762767,22.882033364367256,19.51093260880863,22.904757389610776,22.84016546372434,17.50287085810704,19.169091910694135,22.86062524232193,22.37773892606553,22.59672326808965,25.098207136278102,26.962115864454784],[22.23473755357781,20.810965074166553,19.97706026314448,16.157395614688244,16.369448346903322,12.002637799209644,9.474542462394933,10.44084952303675,6.008202300886712,4.884463400941078,6.070069661048001,9.616042671570993,9.869709528272711,7.17251717727225,11.79887110660192,13.789150154749331,13.467100836027775,17.646467269445697,21.107873478946665,23.47211187306067,26.99781405593133,30.982017372204634,32.23791471778957,32.46459835647589,29.272027618150066,25.236541455119074,23.167818199190144,18.834947046573085,18.233512255376862,17.319391037191313,19.016598133706225,18.995874617218917,21.883200150373828,25.54327442841886,23.907714125821194,22.604786686533302,22.2981007373494,23.905190396125725,24.683999395036313,30.871888164345464,28.911716824343944,28.717012651889952,32.90754242779396,33.87003312291403,36.35699873625449,36.39325152589659,40.44989151505844,38.66073828321734,34.76618023911564,39.89281991955965,41.26419400360304,37.77654793139927,40.783483976201005,35.250973024316174,39.865203960820736,41.97671218406088,37.98417634797305,36.27883872028503,40.91975521057817,41.33881728376422,36.654655072239784,36.72442221884878,34.03934344495945,36.17276567868451,34.75199043920369,30.614324489593947,27.57064302504062,24.054806855831377,21.83974806611456,18.63869847614511,18.61011524618493,21.19410019761589,21.972402249324027,25.894181723233245,24.393444336495794,30.401853540137036,29.791521943747558,32.041631732582054,31.459667237027528,33.43367364812712,31.758558545956046,32.60253457298931,29.79269700403772,31.499516070631454,29.393562382555864,26.780153840793137,27.922502085046734,27.636342470955288,26.855421940244582,28.93043629827026,26.280225936102557,28.818021992655336,25.138523337004685,22.947322867380635,18.219424806510713,18.31490449543749,13.931871395925198,17.032257885203844,15.021633421534125,17.889679389550658,19.239266236247783,20.426251190024686,21.76609401701094,22.016705808949958,26.379320002985605,22.952650639587024,26.900186346028327,27.534922341014735,24.78204085542695,22.84816543929478,18.76932648768845,16.849885830027095,12.167129201150548,13.065479951115073,10.315676517569361,12.391354887986028,14.48214041563519,17.050769377927786,19.44995924673589,15.956709055469418,13.689619891379307,10.326908284699893,11.263767233380205,9.401443803476171,8.05686260026858,13.27679834162738,14.065371065933274,17.388731915393382,20.898026465698877,23.68817492857533,26.045349466404513,29.74565735541613,29.95272606879484,28.845899306115296,25.990991262703186,21.533212676493758,22.927533992458017,19.97245452046284,18.475068413900992,19.065208216357654,22.21217593366942,24.834904635569707,21.599329647354253,19.53453720746598,21.938621520245206,18.920978975781775,16.526040688415076,14.65045029331974,15.20955205547172,11.830122916468936,15.001321464171639,12.94217291400156,18.06691435206668,17.77973434788884,16.403401078570496,16.93101071941821,14.386190710990945,16.920549843794763,16.280457973525067,18.789486558468486,19.607545694284536,20.47294538508582,20.782209707822176,24.635756899096474,26.890831336793873,26.452879273124147,29.238620763736893,32.2111142445402,30.46700426815534,26.656682199373446,26.113871452385556,22.935124535661622,24.896379338083882,24.59303111505465,24.30095619558223,24.663055649930552,21.75620573369305,27.07604190335363,27.5076521523511,28.86681863540796,28.682678300648107,25.687451482287695,30.879577165176336,33.8070332048978,31.055046762446196,33.45724074903354,31.63637089073048,36.543732079525135,35.98856009199994,36.88874465897196,37.7887520078789,34.142396191213706,34.31902019220541,32.757738274406556,33.72901031822144,35.12776137721206,30.981726776851364,32.422987605891855,31.076712464902688,28.185463298898217,31.83642888275357,29.04965405727669,25.64452253505328,28.824997253780516,30.738746003702545,26.22196160034986,25.878499704674603,29.923026919174536,29.890817182144733,25.30604058932429,27.91004691134894,30.452420670313114,26.71348166733443,25.84184418984071,30.664117203796067,30.59799253496542,34.7901988208361,36.06581145471895,34.88787450941965,37.463400093858084,41.80577781252464,45.76135366886739,46.24847418357407,44.68129595854977,43.53502261684698,44.37733461410459,40.576842319476306,44.86730401612282,45.29539060891155,39.393323983603956,41.06552525558556,45.58022567007377,42.48148805429272,39.240820204544555,41.36750499371643,43.37406165020352,39.65321157764842,36.65533303953747,34.40379006107925,33.93566122673701,36.98377996022213,36.28132835354368,36.62046979758201,38.74019813130885,34.78026522316324,32.69209822748983,35.069488078090686,33.53915098093428,29.06017890488581,30.229180497511866,31.584910539023422,29.021219385659393,28.028002548636355,33.09764571156777,32.695250513590814,28.976946836718813,32.146605460391505,35.9208271692582,35.546749349981994,37.46447972777416,35.6978217262067,39.9161756000001,39.744675938825004,34.51124987293398,37.36681486212145,40.162093220333325,37.73280189370247,35.59557541305955,41.43841772960808,41.92267709896836,36.82277721927626,38.03268398458507,43.36890850186794,42.42923219186496,38.88799541584628,34.81667445019351,39.59012308037882,36.47899666224929,36.77596462652365,31.433455270149505,29.65194909106523,25.271758951656953,26.797480668737162,27.430097711868555,30.717216496282955,29.73786876257174,29.94889378083563,24.532916225061914,25.600985531183557,20.428588500446722,20.794833573105084,21.572172594387485,23.458683749569705,20.815177171840627,17.886138714876118,20.70430493143126,19.92549793618902,14.919191430050562,16.670592885356033,19.732429010068223,18.641273521712872,18.886307869789015,21.333141612976604,23.17034030987494],[25.430652748352493,24.261926810201928,23.57845024008669,19.92095191083886,20.041125218269734,15.473440133555455,12.79516677765552,12.75581752527551,8.031727459678525,6.096740727878684,4.711643320934047,8.41808709154091,9.44772974249447,6.013500875927707,9.528726683395321,12.160413012049462,12.697392230042066,16.291750362382135,19.965439636828272,22.52905160885745,25.956622393874348,30.101476936365675,31.36672959416848,31.967379103637704,28.95307170371299,24.829946625400666,23.011335097294655,18.755419365396424,17.57710200715654,16.53080503560845,16.855405086495814,17.49531132266702,19.79171551982445,23.350231055848933,22.284761341296257,21.2355438320325,21.50090465290315,23.455909074613842,24.745900924837734,30.94470375115763,29.165576092619823,28.35397220371702,32.44050028320058,33.81052257826483,36.32329577250018,36.76084924445656,40.723981034997195,38.75906354671243,35.29271943375331,40.62638266829846,41.77592335202406,38.08311772281651,40.73512272381175,35.23385495789956,39.51363104674779,41.48768128051073,37.5141203400052,35.495585277199744,39.9474937040777,40.57278423105235,35.672110039258406,35.247687826752966,32.306507288464786,34.38578110751148,33.377403939810364,29.284511076493853,25.945851911604215,22.253930886597136,19.977432611807263,16.321001397077406,16.448274376010154,18.671516856364917,19.264531915095898,23.530603008348766,22.004162213375782,27.879870510225192,27.82632702691351,29.876530178493795,29.76264503169428,32.15444844091163,30.727690693926135,32.15172057100117,29.51134178996408,31.678726098774188,29.80732608962012,26.6882653310999,27.30012972364646,26.67276214175229,25.495570480432782,26.99818985090943,24.05595027086007,26.130111329878318,22.33358852683516,20.16846929561302,15.570984077127765,15.134465588934507,10.82594007401827,14.748189215507875,13.347936514823497,16.765467730761934,18.23866679543265,20.462983869798087,21.67459238082914,22.85350787029748,27.49615648083198,24.725667427747574,28.857251150451436,29.889876696695083,27.487421328865075,25.180163746016515,21.488178793277175,19.184219975536948,14.61464375212903,15.383526707249235,11.72147581633453,13.968034335737288,14.998903623635703,17.896166734925405,19.10115144948041,15.196899597359346,13.271121283698772,10.372999533233973,12.672997468868141,11.60085195682178,11.095203347515698,16.246904081727028,17.253216668951804,20.311607707965457,23.79258508133807,26.08359130827237,28.925523742359374,32.41177663148435,32.46253753681283,30.971099372593553,28.41494265601966,24.02475531897692,25.981477342516655,22.71409229095152,21.033281369052855,21.04999570330941,23.86138179106658,25.94385333601004,22.292849769262723,20.613346165149913,22.622357182128056,19.397791864262174,17.516038078518857,15.524983957253394,16.54301415292297,13.327232645212291,16.633808464700902,13.990860470011391,18.793489630997446,18.120591079753954,15.971953069390414,16.758846477083427,14.333104608754686,17.6309171668667,16.49558303912303,20.060093104800476,21.131929005964537,21.11046500565246,22.12635809892629,25.5637659602074,28.361727815342594,28.394810800850692,31.33529365694165,34.46755145786354,33.083546404672035,29.203124570581284,28.612615986758623,25.162711503578752,26.6442784376677,26.01607834464493,25.24046517152694,25.40495243425817,21.95239829770406,27.178567052832044,27.94337026433377,29.59940680203421,29.84253602108072,27.242209988590034,32.55916845032371,35.50836984789055,32.71872596777449,34.59970262669826,32.33033668215482,37.435198745626714,37.02643762030648,38.26796861497728,39.50590908948824,35.83306767872385,36.45225018478939,35.13644740180718,36.26229220401469,37.910002557203605,33.96399994110151,35.447866920280404,34.3385634481167,31.275745168834376,35.01949293982202,32.04992440502717,28.807727729186862,32.24469645445415,33.99968531649749,29.478381985341237,29.487756687431343,33.422858165722765,33.083309683826684,28.71799432570335,31.432996766734604,33.80820457508369,29.92038876452018,29.27751474096839,34.11040283989495,34.20110817352726,38.21301045819397,39.75771825805682,38.486954796746936,40.94288980739441,45.27947981282503,49.17588204953481,49.63588956676593,47.89385137262152,46.72791675592916,47.41423346679529,43.51908841185448,47.81286131245635,48.469530993029956,42.618377818969876,44.09009901402217,48.73383053188084,45.79245965512667,42.461771178102225,44.4637364124165,46.71557869365502,43.09546318590016,39.869769606230165,37.72906239439755,36.87158501660842,39.880710005924264,39.2032956037585,39.22577848147136,41.221702617614696,37.08297610533473,35.363385241533344,37.731571590892045,35.859762139760385,31.55779229872603,33.06313940946063,34.16004706344523,31.51045530909925,30.902191527999964,35.913339080817785,35.292784254021626,31.685970713404966,35.13491136752691,38.83554855240424,38.65491439779901,40.478318812040335,38.686925756209845,42.957057744175486,42.94577511748483,37.82832407341059,40.615173987085576,43.54651574893692,41.21152727786118,39.07408095432094,44.88353699131254,45.51539629757595,40.47879466455773,41.601354333242405,46.9674318342616,46.13338132008538,42.62190918238598,38.58905067370265,43.38438603390765,40.284484533581214,40.55060790689223,35.21981867591014,33.393363668001264,28.99058212515071,30.586680934194078,31.234162670316405,34.512357846452964,33.476125322128745,33.60964292777599,28.126779348626904,28.94571220567748,23.789969399760587,24.22606262571695,24.505018311791538,26.258890394847906,23.231127028847823,20.916336269282237,23.769547018813174,22.494934529474282,17.65182381707816,19.88152113358529,22.520476537988934,20.837739658803176,20.950620544006878,23.07249141616211,24.65719405837928],[27.84070682857623,26.751780776886925,26.400901022079744,22.1197907022358,22.687245287557364,18.689832381800127,16.179614022897756,16.814580275983108,12.177983649549393,9.675546697444567,8.435853439866488,12.294685298117292,12.462984956840119,7.921680665506925,10.935320194121903,14.070963189172078,13.911262629890722,16.688220152260573,19.427229716855273,22.720764766266942,25.586824934804472,30.03028577940495,30.806333850130176,31.344109904294744,28.769566498438323,24.439677698716704,23.373868846109303,19.346305072345096,18.690941438096978,18.524660802609795,17.889077383462237,19.8205163289565,21.859297104052043,24.81245898500176,24.010918762960127,22.50903566456914,23.62317548656132,24.79185688781028,26.093016223026975,32.48628857670734,30.08051051430754,28.857707568267084,33.04943264655311,34.33682858497411,36.42778965283723,36.86251815133597,40.849161201511315,39.241692890741845,36.061704170033245,41.42771767701915,42.87809801269118,39.228784032872426,41.92248478547355,36.554229700916885,41.01297716144381,42.47786158024831,38.29972606569211,36.56752698055886,40.81148394558747,41.02384877274064,35.953813331254416,35.47750508343773,32.63798705393287,34.066894710021444,33.17863026331527,29.470976541174846,25.352286377293137,22.06363023066245,18.907016551785595,15.444183514233695,14.787605649613662,16.368155265935894,17.867802012884514,22.29088239843876,21.677979385647326,27.592234551598906,28.06898736122587,30.46874417121955,30.680045328750893,33.13156909144115,32.33742100673469,33.927752706453475,31.903305571804047,34.05673215891855,31.8762334629913,28.703378223155596,28.735878830287042,28.60090943544003,26.55438014206221,28.226002925947416,24.74801896947804,26.320538827346333,22.717229809881676,21.15371847822611,16.847647004443605,16.01819137257603,12.088228074976143,17.140578622504687,16.544555614964786,20.49801717844358,21.549483083277565,24.36299905776654,25.035322601190067,26.62900938791829,31.005380578192202,28.322726795552217,32.574036871288925,33.36511244687529,30.992504656042556,28.941991814812177,25.123679963689142,22.5333566149416,18.030031260989528,17.97708390349959,13.852734553428865,15.124347540947713,15.53240359953387,17.671438872218157,18.18097063983653,14.86978984393775,12.46646904417766,10.416022615081472,12.598072540532696,12.664369543491508,13.306010288059637,18.455622689233618,20.432779829311425,23.227482026820145,26.866513156251212,29.227426985816926,31.769230082365258,35.45845963115792,35.1267996438515,33.943774264434566,30.918236195211453,26.4329270299609,28.137110999304163,24.417500400037717,22.096978852525233,22.093960944569012,23.888600016420643,25.897332143690484,22.323644272209698,21.26318504102067,23.578228656158505,20.8349538173186,19.136117539609554,17.996276455801688,19.65741364425074,16.982273246351106,20.665924383268187,18.30866697049756,23.11504785466993,22.349745675023197,20.088808828598314,20.8675686409122,18.27692768634597,21.611627319606008,19.924233095959444,23.529939976753568,23.866075820502086,23.323917801542347,23.791745781025824,27.298925071593537,29.94168738147771,29.500367916039828,32.93106125437013,35.74234055667838,34.60321731633288,30.5476389335435,30.387907362125556,26.878392799730936,28.706713438022824,28.41632811606798,27.78848265900815,28.397975383943663,24.80079603539919,30.150379327167116,30.504240460866505,32.462147011138775,32.26819170725618,30.242804664393795,35.2790990963434,37.992550470352036,34.962286979544,36.48297787637238,33.915982296625494,38.897372638598654,37.91147336992563,39.62894931425074,40.90371882092398,37.524073117702315,38.341694820368595,37.26343360544504,38.648345659858734,40.438985117486176,36.53616378389609,38.34768145201545,37.2873586971787,34.54592338483614,38.40534262387608,35.699904738881436,32.26704231557599,35.443931086911334,37.48669103839929,32.991309817770166,32.42841657635818,36.574886533793446,36.62139956886573,31.902730973894954,34.3669397959279,36.92935012028212,33.10845914129336,31.992657400579635,36.77336766227126,36.772440598652295,41.11087038127311,42.28431843372244,41.37025014403932,44.01734580021757,48.4385469082783,52.353373122568776,52.944417444979344,51.44394368651333,50.292130989485635,51.10746425875241,47.256248744319386,51.4744939779475,51.95923554843189,46.00573349797715,47.58443899591922,52.05926461994956,48.92595623297064,45.60869207144716,47.53234171158374,49.54202492368646,45.889974217614096,42.627389918973776,40.73958503103503,40.20915581509912,43.363536726893685,42.87377690941297,43.103213648402104,45.26008063918555,41.15561520162491,39.248646562690965,41.72541673814665,40.01990060412606,35.625308163855834,36.9565684246971,38.186146705103695,35.54526578388082,34.700835070668965,39.73856712621043,39.155153244663005,35.36536341375088,38.671466079973165,42.460457408973326,42.20272799221028,44.192957281111845,42.46168907742431,46.68687573966921,46.49262209085952,41.2526993021341,44.11246459627268,46.87584242839519,44.391608531196425,42.21169755772587,48.04491222723517,48.44406495860815,43.23492758523185,44.41193011791773,49.7423830449953,48.68186501392918,45.0357637475058,40.8674894180219,45.422655744781764,42.08100166228973,42.66994078693383,37.23198170644669,35.85657745892748,31.447070577257,32.47448830364251,33.2688405547552,36.42675325963613,35.60612020268759,36.22736423139701,30.820967425541895,31.93013792521835,26.723549235885528,27.458293897080814,28.26705871509586,30.167198004436038,27.33717552030823,24.646266773734244,27.410877608772758,26.410534251925142,21.563635255707158,23.19576931594442,25.980231963567228,24.537478934893795,24.77940332898818,26.940514396465048,28.562072701652415],[22.734147883024946,22.096362070214603,22.45491771512552,18.5597529614165,20.266085356608286,15.181537274800489,13.830955604388173,14.686297460228799,9.930205762337573,9.945081665368598,9.489915377542044,12.49885486413324,14.293031118621316,10.968796808232257,14.619498165490972,17.31348661310931,17.61921003337431,21.20716779178111,24.44894481501627,27.317297474378538,30.55062702650183,34.806604296908475,35.82194443049657,36.20214689171442,33.327057344602345,29.101847202222118,27.51201211427646,23.25703004078406,22.51225964852069,21.606710563351598,21.921923752021772,22.53374010479672,24.65459225606969,28.32594320418925,27.40790290093147,26.382141913498906,26.575919243885956,28.411408309783898,29.482348929393428,35.742108595571366,33.69259358228892,33.06704671977431,37.259845121560026,38.402212768970145,40.71897675676955,40.88219250015607,44.940753375626656,43.25903691718792,39.61163546947649,44.82132163069702,46.24486653573726,42.687300035433786,45.55107682467258,40.05000935002708,44.505202417107775,46.45110540077295,42.40876132239035,40.554606300850146,45.02219816488411,45.481152510778735,40.57593300965943,40.23465756510245,37.3291558892613,39.19672990121265,38.1855202983284,34.21798683958361,30.58589955409478,27.07666442531281,24.354759654499436,20.796693891405138,20.447158289267065,22.165821250820944,23.397598846222994,27.839790927103724,26.737969658082694,32.589569264972,32.8078300414834,34.8816941379055,34.885000667721286,37.282017863777654,35.867235745242624,37.1784713252313,34.436713080100496,36.449862354781196,34.4746195926007,31.584582245392955,32.345490878651006,31.785295720792746,30.628159563303697,32.086883370419784,29.06265494533083,30.869536852429164,27.029362117547528,24.8621144120261,20.40432234442393,19.463190071940083,15.350513647330843,19.38752058816884,17.766074545039796,20.294736953601834,22.738108983725606,24.316156162601157,26.164805389033663,26.673103927401417,31.37244472724128,28.025180464690568,31.8283710856789,32.58111749619004,29.616663032529015,27.6399670861289,23.490910067033685,22.063957459676985,17.365046602928917,18.465109093363186,15.574805905081828,17.337440428182383,18.994024524404214,21.201519356292888,22.904817024415692,19.54266383901795,17.05470560583644,14.236637946705951,15.301860743203383,14.136014526627624,13.152993139602104,18.364596549101698,18.828601786658222,22.486701173375497,25.923150005635744,28.932070850334124,31.1158981532837,34.876192306196465,35.23922492229802,34.18812302104117,31.32368734420628,26.849653715450238,27.866511182259686,24.989265473407446,23.228809945807637,24.019857375978532,26.576239120584372,29.244184030425277,25.995387301425644,24.313628338419726,26.81927761617579,23.8691595671894,21.65535576869968,19.866748421823946,20.496403845152297,16.90907478062322,19.606944998306314,16.628613204054837,21.33710143165872,19.57243789149208,18.45925377840179,20.089862293606622,18.272388035731726,21.29020513904246,20.915764479871648,23.89258585435849,24.999482093184564,25.626017867418756,26.029784690551796,29.842942268427286,32.15565578631281,31.496079112696737,34.47083326025152,37.2692892789421,35.474510176501084,31.61345701147552,31.279451572607908,28.166486140236405,30.280414217136045,29.98520812940949,29.571246355087972,29.769820025896994,26.62080950411988,31.821383303791055,32.56852769270718,34.004377806960214,34.02796919962663,31.030447186777224,36.28466338285488,39.230071141594394,36.46880617319912,38.76923540779889,36.77234117681869,41.71900777016354,40.99127579372157,42.10876476176861,43.01995298375176,39.46108425080731,39.63650340293658,38.05782108211286,38.99937741324068,40.2627886954568,35.97814118935815,37.308500461116815,35.63986013757505,32.79121571675126,36.079406578793396,33.18101670885117,29.85861612197902,32.69384699005662,34.34697987939814,29.642626677539948,29.165338222356045,33.00367202862279,32.69112519112802,27.80264869760459,30.204208691836882,32.48264828822933,28.439058513904154,27.361230500741815,32.10584543671707,32.49634693441926,36.54874477809776,38.38863338301057,37.52912518139956,39.920232120961465,44.61509024469133,48.19336077020005,49.21280871995146,47.796708493396636,47.0229981774581,48.09654456677559,44.507915848541906,48.997680298805186,49.220141489529276,43.44795030565468,45.39972011328917,49.89394322915504,46.70234048895252,43.66412116181103,46.0332193170402,47.77655139619779,43.87903977910807,41.336692064850304,38.777144909960754,38.63679669710515,41.55979866903261,40.49189595914725,40.87159213417726,42.62501697805295,38.84903523643246,36.83046521711069,38.63839971177217,37.007641604612445,32.74809384828587,33.609911146967164,34.446244291446334,31.642558622742367,30.69000177785966,35.617521878233724,34.74709193036653,30.71288659796001,34.11677068352593,37.93585405104964,37.936039422158125,40.23558064469877,38.929650418131935,43.24154658790778,42.643367221683,37.58769661316016,40.923463653722486,43.46728456009988,40.84451688000845,39.20167605138472,45.117439912989646,45.19235579110919,40.142771316949556,41.83894019959083,47.01426429166112,45.70345382474196,42.16484917212498,37.870321874141915,42.472344622274605,39.00867039982607,39.077717552116376,33.72532418364569,32.31165861900106,27.669711982882244,29.048350823968676,30.269580341806964,33.727848245085426,33.24868360273902,33.62794972010853,28.531807989429772,30.04113987847098,24.945855071889124,24.65367106949412,25.578777742764494,26.941258345778678,24.40963069814764,21.59434985989858,23.50162307461516,22.33242935741458,18.06009518027182,18.868682631667397,21.189340238219422,19.734500013060785,20.196589297478802,22.49238191372246,24.268365952203798],[22.897154245955782,22.091659011853167,21.763948250945152,18.790496880532128,19.410265320865857,13.776561231447927,11.854594429852034,11.226140820799943,6.361290820604655,7.189999605007748,6.029188277363475,7.920624874434706,10.958576338643896,9.092499322035762,12.102052242958033,14.285115800357726,15.571002814317268,19.43245501708536,23.531916964539054,25.70180474429169,29.372308054056507,33.330364848526855,34.84475589278143,35.4886549820206,32.28882817588479,28.30576685517677,26.12094792184924,21.81358972849954,20.310429674421407,18.541246085691125,19.197906955944237,18.803144791432548,20.874175892802686,24.95878107349294,24.01629839305048,23.557549915212885,23.168436356465595,25.87780108439881,27.164931417598407,33.10684883178968,31.829826050133526,31.300906243540325,35.26338658414171,36.694778402347325,39.44253737312982,39.847958881477645,43.78677369910763,41.63071346991592,37.974866249504544,43.22375161988232,44.17819275585558,40.49171269558594,43.08492313336343,37.52686205778798,41.57494362222675,43.944817229152946,40.16321083806538,37.88800106712468,42.421209755033715,43.395603005215975,38.611155332026485,38.09815028875025,35.02190089817944,37.496917597180115,36.55426530763469,32.27709938856621,29.3552793236857,25.451658499175704,23.62277898866257,19.8056350087074,20.252160615161962,22.426395124632553,22.680463761093545,26.999901390833255,25.025453889614475,30.679092171882765,30.5708593408159,32.1986574679345,32.05949090430385,34.53013589622331,32.63016967777196,34.02294643368311,30.80674143237809,33.02674904571997,31.51276507266182,28.47161532195763,29.531575585160805,28.349686991441885,27.891142642801874,28.93335190964661,26.383297745040917,28.484540790648484,24.521855275067846,21.876993950241587,17.372866642789994,16.709311337548716,12.564841876022156,15.4751858919133,13.345482109799658,15.411031372612245,18.216155398447043,19.60078414376766,21.864268585127615,22.403052754855427,27.4329296677357,24.430502054364744,28.208484981070175,29.45796796672595,26.773848534020285,24.286314189218924,20.589580167584163,19.17168770694997,14.59473857211163,16.474453349634455,13.76725464367389,16.503168135308293,18.111336023119115,21.18722958360197,22.83120861942315,18.79584951230776,17.048635687596775,13.900190163286839,15.768150896135959,13.973140436953972,12.295032507271147,17.242124380594344,16.822314280875755,20.46552708534662,23.675248736525177,26.187114368590095,29.039867696378437,32.38825013264993,33.00195310756785,31.362270470889825,29.225324572314843,24.964008757770163,26.707901693005617,24.103076601504753,22.959789622655375,23.31499388558667,26.70805930399337,29.012126080632875,25.476425779240767,23.42701719605588,25.307735997077323,21.84887327086993,19.810409565183818,17.17618424462668,17.328293802016894,13.390673099831004,15.651027147055723,12.13918413169688,16.647028193595666,15.006737305243838,13.5436663263508,15.188681124716668,13.650357733075289,16.870874957969342,16.86242274449718,20.2099799544349,22.18432333615215,22.84435297144869,24.193240701468387,27.59650040614262,30.35922840622094,30.547967452309276,33.0588628297118,36.306047704266675,34.55470834806861,30.873253927351016,30.021281450050044,26.81187216193081,28.187162325402394,27.342705642673103,26.507925663352356,26.15105874833405,22.94743872357044,27.861564647781186,29.162455235008842,30.435394109638985,31.13444176897445,27.841759004159766,33.38731946967901,36.554265353381034,34.04381650011643,36.35562009217626,34.42265276358718,39.55288791486051,39.53899014501398,40.361166283524994,41.46102253566648,37.60115037182267,37.88357581395777,36.253349388189434,37.03983292017624,38.36126053046813,34.24203588859832,35.28047661807745,33.831746087626456,30.51504398437695,33.83238530718652,30.551291556164756,27.547894275451306,30.94673794632432,32.23716388444797,27.56716045475713,28.040452085958766,31.61117817434219,30.72240372372296,26.510777794135446,29.339777823329715,31.35904208553849,27.236574964070893,26.95449876608542,31.768853737585527,32.22221729764888,35.807404623657796,38.06177487052803,36.638869424551665,38.78561033560651,43.25942357809758,46.89471690412451,47.57292403695393,45.717134377120786,44.797578602395745,45.542250304953356,41.77614534085231,46.28508273500427,46.921216273475935,41.26675213940426,42.869317124409584,47.63453372427653,44.79745261587481,41.62542855733711,43.9048256863,46.15908435011646,42.43703473224824,39.63605168543281,36.99166361787034,36.12482185069753,38.888422927382024,37.742864940983665,37.656070555952354,39.244489071789395,35.25795136991578,33.693335257896265,35.53137211052201,33.49649340262086,29.410972558872277,30.797843109282187,31.4439665559918,28.633539439204263,28.22744389603994,33.125367011880044,32.192908711880335,28.550237909840448,32.25719300861828,35.90453319866042,36.01820969787441,37.93867585444203,36.40608010086357,40.77496170080961,40.63114179862534,35.746668558066844,38.79660925050143,41.7007212901882,39.377205435246864,37.62628447667589,43.45535409111637,44.02337839002896,39.20195075708978,40.61210799736762,45.88632046311469,45.01922435921573,41.65432889250567,37.62413386885388,42.537047358733744,39.47279284335665,39.25620313235574,34.05808220049712,32.003118977158714,27.46886177088248,29.56365188380056,30.422973028990096,33.920990919044215,33.004193781266316,32.747846384345614,27.451095615846807,28.321368418652014,23.31490082087896,22.92117139375112,22.831565204769866,24.06103771790701,21.00035299783477,19.046952260741357,21.32774337165288,19.56797172867567,15.228208487695303,17.403491102365525,19.44229754705196,17.33668554796509,17.475924394069295,19.530635732124324,21.09815053084481],[26.050918121041835,25.78537357377078,26.134421298762156,23.07491323039529,24.33881186700218,18.535060364535862,16.981430401525717,16.24297462126207,11.481137962532546,11.805799311737752,9.528461531614909,10.959721768107105,14.596765297301655,12.063603701358543,13.779054309833416,16.56544287006312,18.429203582081033,21.491729163251584,25.390523848474704,27.963531045190734,31.31467743814793,35.49134372797734,36.82113460177502,37.747627435320524,34.88284146315098,30.768941091085537,29.06205155188129,24.90176818880694,23.148656573969348,21.48043585098389,20.48717667000131,20.97353338751311,22.09928041077534,25.96355246800253,25.86705315560824,25.693181380398862,25.99808496206973,28.87397344694629,30.563043834344473,36.52948504834803,35.23171967875807,34.10775050139548,37.993501537725976,39.730976207429165,42.34545600058219,43.03725316236478,46.91931050839809,44.76613170021516,41.516656817116214,46.917403488079614,47.80795709621855,43.98438888750423,46.29287931165491,40.81121636915619,44.57483270382324,46.70977923494824,42.91524326149271,40.41672892595201,44.68379961400604,45.764859444072925,40.746779591420385,39.699839336944464,36.37674853991844,38.58916757127433,38.15934437396403,34.08686379393196,30.642124239047668,26.74528195820144,24.581026708235413,20.43129034909892,20.72968328869865,22.039766681190585,22.46365566875283,27.209515521001858,25.552688804550577,30.887160499816915,31.678588029677865,33.05878856540148,33.597275803210685,36.544173628556884,35.01981594416236,37.014629460804855,34.033882180377624,36.65336374316007,35.30560578053874,31.868461300620506,32.354345900286454,30.89297470302635,29.917725122316288,30.234095279309386,27.295725665001594,28.54888805448808,24.507501397711774,21.991182499885166,17.9815494482991,16.216338040073133,12.686227945176837,16.58153078875743,15.307922022863556,17.391471644963833,20.7788899970757,23.014433124820265,25.338441631429255,26.565220637711196,31.79637766976769,29.21087852104207,33.01124947709435,34.4711021346885,31.873726750469775,29.246582267230156,25.690643413617053,24.23069925458595,19.695716922357324,21.356801793413304,18.097516895925878,20.582148730750653,21.513266049848948,24.44393780094267,25.123932469099678,21.102136283594277,19.391148378736585,16.830558515087134,19.19247439465245,18.09173935546406,17.046358170975587,22.155408055988975,21.998831881135,25.61901990521943,28.849526446853947,31.247800044182522,34.20158546165763,37.5200723898844,38.0624192594822,36.30747458501319,34.22147202531373,29.939240733491882,31.736895652359348,28.901620831936626,27.42526771316993,27.62478754668582,30.467574204552808,32.53883062001463,28.811273921147933,27.20284051963453,29.000241281807494,25.566863728092887,23.866775523670004,21.40523649536216,21.933625753831073,18.168680044547692,20.37858176123242,16.419530019402973,20.302565492141504,17.645020523549405,15.923385922600032,18.299289601536806,17.283423573625367,21.000846575495196,20.757162092109624,24.77113876169717,26.819123642443788,26.860077166386432,28.474677793766343,31.678690304008395,34.70868665544131,34.94451601160202,37.70934065256233,40.9170335035262,39.350173836631534,35.55716163999635,34.84724071456166,31.507059854218255,32.80108200146815,31.864174012502065,30.76342051644646,30.304114432504278,26.71461400323763,31.465843112504952,33.041278587568286,34.545693383967276,35.501884227472,32.51168088707345,38.09406761208571,41.24390826926459,38.671454514221686,40.60978670375497,38.31404595253738,43.54491189656212,43.44809695752228,44.62369028599513,45.914702348219386,42.11789362759247,42.65810134380483,41.17590963653075,42.07098091540576,43.48174485173472,39.39174892508607,40.45931075952658,38.983914526487204,35.65389714494477,38.866362147223974,35.48936070406128,32.5814361244549,35.89578114122186,37.024656557212026,32.2889350469445,32.771281749620925,36.21599159711976,35.08856522134735,30.822981417281607,33.55047244693355,35.35959989794092,31.050723534133486,30.724993391517287,35.45419514638626,36.209548323332456,39.64514251512369,42.28189200214785,41.022190631794565,43.02612719043874,47.67643899853242,51.06844534954155,52.02514015864367,50.18464532933922,49.4572585493037,50.24694213800335,46.55594785450088,51.149811775635115,51.78571572787402,46.220679070360866,47.86847884509895,52.66829024885236,49.84535821238058,46.72799899876581,49.05123142128639,51.27443643818493,47.51069936943437,44.800926730293966,42.10109907402432,41.24242139144236,43.943526705354955,42.65770091372672,42.44692472249968,43.78632862771847,39.824971288193225,38.483452973258956,40.026507651348695,37.78133493514643,33.937978117732065,35.313896976156435,35.555899004700635,32.60462439005778,32.41081784856606,37.15085549988352,35.850209878514775,32.130287244965075,36.062601640903964,39.66608134612377,40.08492075501561,42.16169080231851,40.875392102268236,45.2950016332431,44.9953705242492,40.27471308759023,43.53027481704794,46.350693854510496,43.96655580756372,42.46157074527363,48.30597430634657,48.71530258204534,43.93407291771617,45.54616809750652,50.75298925608696,49.72513685075312,46.35737147010569,42.21630070876901,47.02296088348354,43.755580233580666,43.453135802499006,38.24958323868494,36.41950014780966,31.759950489281795,33.721420768963675,34.88360550457241,38.44345143024294,37.76279168864805,37.6291768766682,32.444250276128635,33.45049692024767,28.45315039174035,27.886973940996615,27.741012711649326,28.679398193181846,25.563043687696027,23.904216039543478,25.74617985923054,23.636158660059458,19.83590933121179,21.63044522745557,23.080236995810072,20.561748329729532,20.788174739361775,22.490321166748405,23.7924067102561],[25.141322863507767,25.146720272161083,26.076907535347683,22.718199511126503,24.79831148616748,19.05051795252623,18.061167462774733,18.054742701836503,13.283351270907117,13.832715218931863,12.182110783286214,14.099082719593488,17.304863802749857,14.277398880167254,16.57756371074624,19.503077698625322,20.8324414648657,23.921647756933712,27.402831341723942,30.299117916657295,33.46490930443099,37.778261822689686,38.859099398396005,39.59552982632542,36.86410635989111,32.62927731332593,31.162582636065586,26.986195962617497,25.660492502038434,24.343075224992944,23.45089044636158,24.21096685917614,25.45008084399886,29.19983486980798,29.047036991861898,28.614571604111763,29.03908874456065,31.53353439811575,33.038851512885095,39.16627993484612,37.49512721882546,36.443927042823965,40.467340144304885,42.0021889805577,44.411516043797,44.906255438473664,48.87386628493578,46.98176556115468,43.63790552711976,48.98381180537569,50.14188264916266,46.412266506186725,48.91965249154497,43.43858497585787,47.4473254243074,49.43704777267472,45.51622293833355,43.24510968576676,47.52394032692076,48.346470712553696,43.29480455453084,42.38517919320861,39.160296928703765,41.09206329337216,40.59071943259082,36.653593823129405,32.886370097393915,29.1964463684899,26.580659073398987,22.60155148558545,22.4574362010243,23.506344425774724,24.5059875114429,29.300152710856175,28.0969966380145,33.5262121842634,34.444895691213,36.03539461567085,36.59629379400706,39.4702253658326,38.096141854210785,39.96443214890114,37.09808981337151,39.556542641132864,37.98192209060743,34.69962758035261,35.18278307479556,34.010163869930665,32.82537547402486,33.379005752256894,30.27029235297181,31.411626876228997,27.43187444215529,25.114596697927972,21.121483433083128,19.28001499011244,15.775666704156148,19.970918775026686,18.698686880009223,20.686985874654347,24.118094896689467,26.10369791560378,28.46263727205396,29.3848706925436,34.50852556816103,31.560096171253257,35.27454828697897,36.452754998338264,33.56295553405368,31.2255406287902,27.35026959870653,26.154767600248313,21.51145128476924,23.03310026305477,19.94259906047411,22.018756572563962,23.201267110657295,25.663415810866173,26.583240172472934,22.948350377237443,20.8056287384739,18.312708621800073,20.06071304694869,19.09000711177112,18.093955374705722,23.282773769921288,23.2274412927556,27.035855506451107,30.330011241868768,33.13860090980474,35.65081885046838,39.20405513632123,39.77042622734517,38.36807720673302,35.922179955046005,31.53242862671058,32.7928920070946,30.006198267212923,28.326852339005015,28.908655301224044,31.431310879028864,33.821935061854944,30.323444899091864,28.802934397308984,30.982725482023383,27.791330090135094,25.885317719925713,23.74321000011691,24.29816646091966,20.498117252799382,22.721136342629052,18.904338630388498,22.926771604904193,19.997875620839377,18.83441435958911,21.343282360124526,20.30823637201082,23.805734233645094,23.675270752887535,27.317036903980277,29.06616096138222,29.353887929707177,30.42878614544993,33.92768755067819,36.636096726813626,36.35723604899514,39.27919560852755,42.232053686061256,40.50401584675763,36.66266277728663,36.19879500947418,33.000165515216324,34.754571313805776,34.1196396086721,33.30373002227934,33.0685619575487,29.618887042360424,34.51496382501963,35.850819570683825,37.327932024478955,37.94555442940067,34.8948215484602,40.37005543828677,43.45025935784038,40.79614042139183,42.90278633438902,40.69579541522309,45.81622271875191,45.364369055926076,46.58074162052829,47.686175472216334,44.021053659052626,44.36101624589155,42.79773531920075,43.67864139019881,44.93639371063641,40.672361755712586,41.78388150513305,40.04489241437293,36.945578808908614,39.99419413224082,36.77770438916123,33.73420697132385,36.65351188222438,37.86802303377762,33.07125507069489,33.077319455369384,36.559233949412416,35.63803751525663,30.986135011490397,33.4505095440977,35.296604208762844,30.98048232898561,30.24870625240653,34.8875657027748,35.7340456266045,39.313166311886604,41.91743591070333,40.992890284573534,43.04581191834198,47.885899572122085,51.13410850379426,52.410101276355526,50.84172958611672,50.304302877550796,51.34617797452414,47.82728716635198,52.48041745646794,52.81550839167779,47.24078309050117,49.17656616136105,53.82738019494348,50.795153427822164,47.827453471031006,50.30976477863146,52.17955607248205,48.262073990854134,45.87967735608381,43.06540818233227,42.70073643110568,45.42884216210951,44.03881442032145,44.12242389806587,45.44707833359356,41.68788739453558,40.06871761890078,41.41676860891584,39.41372895997225,35.513274969805146,36.478536826649844,36.70992763637942,33.718773635874484,33.20480878478159,37.91478351440729,36.55850330076266,32.56175628791788,36.35374704583201,40.04810897752884,40.48832254360861,42.86004522886766,41.82361560134262,46.23041603781189,45.5656599896122,40.8172176840493,44.35489015259261,46.91084893580585,44.32889872815844,43.037430704831664,48.937231352590544,48.98252116287551,44.13428459908719,46.03853655747366,51.13474750592016,49.792419651173674,46.36928842188491,42.06506639558611,46.68603481049463,43.17482862372713,42.88751597245434,37.657022805910735,36.18473251514987,31.43716268576067,33.09132728327854,34.56145606139171,38.151890846079034,37.80616757038021,37.9553536049378,32.984328982443245,34.42032643203036,29.423121369077876,28.65680345442031,29.05909041940754,29.923454736404043,27.167153745418187,25.036882552864295,26.44695597895925,24.594308486843666,21.003962283191314,21.89039242630165,23.302967163493737,21.114632447141528,21.577046694275587,23.42842968658609,24.88396879318317],[20.758155630310224,20.98410559140929,22.156724412586247,19.465903096646354,21.9268981768562,15.628824623722826,15.486729189351358,15.44891415926498,11.249859729818949,13.46065589798354,12.654847693649716,13.87399845406178,17.56492229358778,15.505910718465817,18.384864586558002,20.773928321391704,22.111126330710785,25.836811582513278,29.681081536463488,32.146641923296585,35.65969664507496,39.75249379638989,41.08888922662496,41.657240230384964,38.5979180144748,34.50066125013621,32.5306223803024,28.216820877639876,26.901363562229175,25.15214395634926,25.392202417851422,25.057463389852735,26.65229890357978,30.848879950898205,30.301619557553945,30.06287811432616,29.685419082961424,32.51001610581741,33.74575459247079,39.69424372479163,38.32360850213687,37.83603372247298,41.84745498437871,43.20896762397106,45.83706811793515,46.09931627002682,50.10342599724565,48.113812018987375,44.366396456373664,49.54406037891071,50.64571823379308,47.02475222396697,49.693380488339656,44.13165355692669,48.175099236572784,50.57486763247688,46.78258516942325,44.494615560220836,48.99336379803896,49.97050216948978,45.13364450296978,44.50013620801292,41.331446410316076,43.675487164083634,42.897014357120085,38.71045934198617,35.4871596085566,31.649414794642173,29.454067060830244,25.544527158168616,25.655936320565274,27.235164363594823,27.946956189892983,32.55997750930401,30.897197490173866,36.40535313883011,36.7666397556057,38.23567606111725,38.38487826947083,41.026960114145325,39.118719732045754,40.58912361715842,37.204890313455266,39.42492559787254,37.97935958347953,35.03049928726248,36.15345276377506,34.806330092182655,34.38403870711243,35.06908708867327,32.433182731993746,34.07926867608797,30.025812573860396,27.325646806728447,23.124837599192908,21.73969279082042,18.00847460859641,21.075685882635437,18.960401929634216,19.850198018200217,23.88850274173108,24.711498490975032,27.76585301123487,27.75291636727273,32.91608471959282,29.5251141610203,32.82922747054645,33.95664795987105,30.750847070140495,28.501650768146906,24.556028520478186,24.21174280889282,19.704640672518178,21.968631275787935,19.86421189389505,22.240478518435044,24.199212067693743,26.79162138794943,28.62250624791378,24.902615786784143,22.761423670899497,19.741382975405582,20.890068742972026,19.126704144414305,17.140015614137372,21.95868016876096,20.76652267419016,24.963399582203515,27.968066548763705,31.08273161249595,33.36174702060048,36.83783409076109,37.89776699814694,36.56353541987923,34.34505101784813,30.098977738066242,30.987576610019218,28.887674472136283,27.75335732846546,28.74775539196763,31.92349189638414,34.673034781053964,31.402883910889255,29.38899468320914,31.60578321871577,28.301887658961515,26.07282656393339,23.538962946308416,23.343380913570673,19.14105540708928,20.527916132299875,16.57013832470226,20.360314848059186,17.011928950670338,16.919990427436197,19.7397135910332,19.20136548835203,22.16070822193576,22.97413508119571,25.90935859781427,28.128744151369734,29.275437137789687,30.292447161292618,33.92461293784975,36.364914664391485,36.05459538204182,38.52817903738489,41.512542446698696,39.360158445183224,35.75338515317265,35.07629224693138,32.19948600646821,34.022804193780466,33.36634307257407,32.735798129222516,32.239516625710294,29.26384234721996,33.985900423761365,35.49335217842436,36.535726756462445,37.259745510896465,33.54572316198696,39.074662158322504,42.285879472453296,39.88330470339056,42.55874319327649,40.84207652545253,45.88207779699199,45.70323160424844,46.39664256673167,47.2358358325052,43.435925000040534,43.31273904382406,41.406616940900236,41.943336316815135,42.829870796523885,38.40080435754828,39.12490761403381,37.04996152920144,33.86594280707489,36.49229452145842,33.16074913546869,30.289880974378836,33.01894678423274,33.90807572329423,29.06892526924476,29.31676983745604,32.48464575152085,31.257059061528217,26.701035868331928,29.19035181797197,30.789837094942957,26.3805035517422,25.88691700496861,30.47566712699216,31.545348983402096,34.80679954702392,37.86301997306654,36.82201937340005,38.65649918022767,43.559630250789574,46.626024339038274,48.04981700056366,46.46641304590346,46.120792225330504,47.26645061236827,43.91527956294217,48.69263475762376,48.909767066777185,43.510950271029955,45.613371566150164,50.26551147913461,47.278116119374864,44.49477725508952,47.222639744387074,48.98955809690689,44.991238594637814,43.05073515923845,39.82394391878787,39.61178268115986,42.13531779272543,40.38924822540703,40.54169334297679,41.609503341039165,38.0987653089616,36.42746640835551,37.35653398235313,35.43352282986875,31.65721418167234,32.338780924714634,32.34330021648874,29.3025114497288,28.751646661241427,33.35216628345445,31.875457931687887,27.813143247955285,31.649786014797417,35.316156036001345,35.886048221707846,38.353929755574455,37.534298958947026,41.95459725535043,41.1281557243823,36.54849991682761,40.28237989920593,42.743970187213435,40.16197129568127,39.180055971387006,45.05247955719266,45.01017758247619,40.35637774897869,42.4879940619336,47.46348440312042,46.09565692111687,42.815223485265854,38.559394627124895,43.2571842283437,39.84607490933321,39.15929240802861,34.09051678187232,32.40908873402786,27.63384623333792,29.71001493257622,31.2940407352633,35.02207451011889,34.75986142980171,34.5811651146671,29.86477726881444,31.396585887888243,26.631519280860484,25.183646239109475,25.501379951633545,25.97553400215454,23.46985248709086,21.396698223218355,22.22181923719533,20.24409377891164,17.197575280101184,17.65672718646406,18.6442700186956,16.425561806127863,17.035117075178484,19.01689443708683,20.60000350938806],[22.856511002000765,23.725223938066634,25.425053530822815,23.34197221553075,26.098436802239494,19.515258592235195,19.735541589068216,19.14029938048234,15.272821120419854,17.716714898477782,16.34896939946298,16.756534792148493,21.254472628979457,19.462746186736045,21.556922987152234,23.97252552320842,25.945010284264207,29.38895396939273,33.40883726452689,35.83180249899572,39.331844218093195,43.42279178147396,44.83984293915949,45.63654949851057,42.63586902197173,38.55120658029552,36.607146490011885,32.3370991118219,30.651313910353327,28.5836035172866,28.136576326901103,27.727786187321882,28.66572546062327,32.93748993800473,32.92513456919908,33.17238052613955,32.83459022406063,36.16837638588811,37.66606102233448,43.46469822364883,42.42147143725636,41.715813907602566,45.592229742670376,47.2101138056768,49.93576112211558,50.39998203222993,54.342461793036655,52.1862808585286,48.599002028209405,53.84388195536647,54.73689352380406,51.012738135031185,53.43206904244284,47.8880472038604,51.57734350011083,54.08393074494881,50.41966978753717,47.81501585637323,52.19066019409232,53.47867340510288,48.580341803644814,47.56166385398347,44.17214556027329,46.62748831762792,46.1937085135231,42.00618364251029,38.783591531164596,34.81955194714689,32.76850291487948,28.622215293788,28.892677090923986,30.073481210229897,30.58368594856375,35.369378286798955,33.57838738560629,38.71949476617975,39.517522973250514,40.56996523141505,41.079939790969064,44.03260641425685,42.06582479551528,43.885817732907825,40.328248119818255,42.83376178367199,41.72753203868327,38.56208782503815,39.57992073809523,37.7438370717114,37.44466694371094,37.44348424475918,34.867690061678665,36.06513731830125,31.94832715414749,29.10309650018258,25.3331450316627,23.3931574106193,20.23323885119298,23.06751353055256,21.140717310253667,21.267429944155758,26.14153664893182,27.02157812198023,30.566971841745744,30.694547563173224,36.11952921945203,33.00336861706983,36.09948487975909,37.53648936253454,34.365486611473834,31.896177565348307,28.231001865486476,28.20695768517221,23.850620232533778,26.417481058938417,24.290866803399616,26.849770935302733,28.591476124090413,31.339129418921974,32.78056794957992,28.894067577170695,26.946526100952443,24.072881144184308,25.549679741418498,23.861429886103355,21.847627876146383,26.586807232522286,24.96381175901158,29.23577886781555,32.051648737851444,35.03883944306528,37.48562518846609,40.76271072441403,42.0651888571563,40.494831160632415,38.63868665995961,34.502576682546895,35.482268255879994,33.552612474601254,32.52737805842014,33.44555923644397,36.66094722734952,39.288338428801936,35.88168736390488,33.91902630791896,35.933759889725366,32.46739085520377,30.408971795186698,27.626839802015738,27.29421200776206,22.989298694997508,23.872429643643304,19.427626018433696,22.379551976196687,17.98784808911933,18.192254819006358,21.731217594208303,21.967215432012214,25.089911140505713,26.233442865802786,29.48097250339873,32.202843861650585,33.22808648980888,34.68566301607957,38.11044019119875,40.77723170068558,40.71535480107186,43.08577020667821,46.171741372139586,43.99571647245418,40.44621657069971,39.65781531898914,36.78247904956411,38.36975436769647,37.475153941022285,36.58939484665695,35.72807892053992,32.64560577545257,37.03993414905408,39.024484748842845,40.007077313908425,41.19806230932422,37.35296320438367,43.01512625385575,46.33560171239222,44.07039918721776,46.69413541074936,44.91236562532029,50.054179385151244,50.120849957749286,50.7986653481834,51.72973842484771,47.837485362087016,47.75013381191171,45.798172698339286,46.22212833934359,47.02129470352124,42.59824234344203,43.0719033423742,40.88151948083793,37.530165806477385,39.82499152626834,36.26052739623397,33.70716447244088,36.39452732805039,36.82758543221162,31.99870332768408,32.671132684901565,35.40394082811229,33.60189583410898,29.378447744391586,31.840012759283294,32.949554894384185,28.38915582281341,28.258846326720278,32.59802179950322,34.11854939899741,36.810323492319064,40.61806189887241,39.53301659865137,40.98195224053434,45.978355402121295,48.64723890189331,50.35234861354762,48.66197234769003,48.59786594933316,49.7440614888372,46.545725468233314,51.452295312926395,51.721870273608154,46.59329202825896,48.71589216839115,53.455462030059984,50.629584873450426,47.98167993612422,50.84501401207482,52.663027393121226,48.652108462104465,46.97257484777671,43.47413781400016,43.13602468490274,45.42479754145708,43.333888545384006,43.255209766297654,43.858219245494666,40.48561073958142,39.17030723595422,39.556792232191384,37.35676920091479,34.01568526273535,34.68458232944753,34.06561362828281,30.90517732955074,30.758354333456385,35.00698420101044,33.05163192069703,29.097964414411017,33.21476422628934,36.678165910163436,37.69804537952506,40.2357794605877,39.753445373305276,44.19731980851226,43.25524876286549,39.070243622018886,42.99327694805246,45.39334329169325,42.868960478093726,42.296502561136116,48.082319678183936,47.96969677742536,43.584961677859546,45.94000893479485,50.76560744354141,49.35506291517312,46.234958492509044,42.01808134076672,46.68381599234791,43.270139235989866,42.20285545205182,37.344278972188555,35.62661434021373,30.854153387250804,33.170044320244855,34.971879996365125,38.77967771257684,38.66828380538443,38.26228631080118,33.77884883989278,35.27074473397144,30.69959325090256,28.79553557787545,28.694030946269642,28.642616954968823,26.09744122860729,24.67323604670741,24.902327973354726,22.388131351718833,20.246972012973515,20.610900647856727,20.614835468577393,17.836672431412005,18.483954200372047,19.89497079906486,21.068815425597922],[21.80346589915213,23.25586305114786,25.324903377001853,24.421484032440883,27.3577394228895,20.538121345802395,21.53207098845683,20.48651547314166,17.633881224876724,21.034233859661086,19.944339856709583,19.437965942815527,24.418674942530522,23.488085297478218,25.451628068892855,27.432142835022333,29.726488448588423,33.38535253862821,37.74277622249192,39.77241323381231,43.50775809450972,47.385085648460205,49.06535471122204,49.88380100516515,46.67219457785697,42.74262511293648,40.43574732621191,36.149562299957566,34.24956214284803,31.709120908283506,31.710400322620753,30.448945555682425,31.25122320538008,35.80872688091573,35.79483889308758,36.47977251656373,35.55545630968406,39.408654369318384,40.85492574599441,46.32766871986068,45.7735719731845,45.36578743545006,49.10035224334434,50.74889692917141,53.7114040103814,54.142758736597,58.04071431463881,55.681596435442465,51.91570107190194,57.03765269383748,57.70935837985764,54.02513637482166,56.37281225723248,50.82448832411698,54.258886891884686,57.15842890820431,53.71890700414104,50.90465928733377,55.34452861665853,56.96620865299435,52.23779012953096,51.2043047541689,47.750796219392875,50.60411407529737,50.160318914127494,45.79785573996878,43.047786031141975,38.92238409839285,37.314875264033134,33.12119585728264,33.68097130724178,35.05366659602315,35.20738095372802,39.906793982049344,37.685460262236454,42.625342981044135,43.211986039312904,43.905945104152224,44.28633838567137,47.20804807241002,44.791630558021524,46.494320311728494,42.45789714874901,44.92607828596667,44.17976129162701,41.175044814467206,42.610497132422765,40.34883080252125,40.73879137795357,40.42950305276286,38.31052594396838,39.6471243815157,35.50299842701388,32.3389139526153,28.74133494888497,26.925924096234574,23.995822355052056,25.782229420110593,23.43659661558528,22.225709118629243,27.840072423321196,27.78349173305547,32.079150985141766,31.561078061241396,37.045026147446464,33.883942958144004,36.41855812748454,38.03749459376266,34.75662660209991,32.23378835002187,28.895971750469364,29.732115518432288,25.785709166563258,28.98932783160915,27.58882698527895,30.425001769039408,32.500526217802054,35.44065283371297,37.24590807934399,33.210916430965845,31.434928737897835,28.338508064996883,29.653908832015045,27.523582171156665,24.922312665270887,29.15704496569289,26.47017448456271,30.882987622290823,33.24112156502543,36.236283923011506,38.622654431064426,41.589900573876534,43.43183688701638,41.729689473286186,40.39059490645222,36.545462899602214,37.36651964394432,36.10150876106995,35.59848815974984,36.68807916137378,40.398931857981765,43.1353359236563,39.815953187358204,37.543591642356326,39.38639181018184,35.77194443106558,33.647703355653135,30.478358924094128,29.522357921120904,25.05362820815245,24.913159112571286,20.316122284744143,22.224502625877342,17.021343810962716,18.40124253335194,22.40401585705369,23.538157944848,26.177981829884168,28.211532949749085,31.01937773183428,34.380221945202116,35.92514509826866,37.643346893703374,40.94289775057068,43.54851006260305,43.69757746508576,45.601690884370285,48.78162676834606,46.31602427780786,43.04318046518731,41.99061591334192,39.38880153305858,40.781339803425155,39.69358643666546,38.7721428986771,37.465401276689605,34.75233745669318,38.67967862128471,41.0892867349268,41.66991376628107,43.267969181437785,38.89169794638215,44.59095075902498,48.04948879229217,46.12022691650501,49.10330764967444,47.67643652360313,52.77870238391176,53.26558956715716,53.51035149638963,54.31023300710629,50.270611417784735,49.87299958284719,47.657111600841525,47.72615386963647,48.18023822805629,43.728486681169244,43.693758863056836,41.2349255027311,37.7207468490564,39.39470553260208,35.607535781873516,33.53686916154379,36.03858826733189,35.81392680677894,31.102782649705386,32.39716771143537,34.43962949079546,31.90852677570956,28.26802448219196,30.71534489919987,31.165887867413076,26.54102266319293,27.05223101980987,31.026740083611973,33.03573321124012,34.88397949795088,39.61331683173921,38.32303195258661,39.236865438802134,44.232964380449054,46.4341964342499,48.38614476502262,46.55535830288586,46.8363518473836,48.005692073312666,45.081297540681206,50.11595430938474,50.38037789085245,45.67892462701878,47.872030931624614,52.64672076253372,50.05642108641282,47.671013068904294,50.770167233722745,52.58660940070646,48.583400827163686,47.41939065732087,43.46050748220082,43.06964675763186,44.967473953165246,42.36794858228216,42.12294823545712,42.13747391558338,39.118642308229134,38.10199089076312,37.72226840736713,35.37926779003177,32.58642504883472,33.04773376581049,31.73317038294002,28.518846171214534,28.747733120221575,32.49671555321365,30.081391065627372,26.329177391143073,30.653260518088878,33.8247481296572,35.3111022463134,37.87647610516072,37.81295722899993,42.21442790390463,41.13407580195785,37.49192642332602,41.597971577612405,43.88889876511984,41.49699284863025,41.46690579083409,47.0569987172104,46.90356063054435,42.97401409686764,45.580616664531895,50.14910690429243,48.780866422735606,45.960092485152735,41.926162426956914,46.60203163110694,43.392899114000606,41.7230754352044,37.26689929069871,35.289711120168235,30.661304814121277,33.51831960736704,35.43884623828616,39.31811222266193,39.30266557608448,38.4042795464175,34.365508075267805,35.777708358915184,31.66917905809507,28.9910322647512,28.402863183872128,27.616734210878587,25.315058582592822,24.599505715644284,23.91869199998715,20.934082672067422,20.14343392909941,20.21527412197198,19.000080496258555,15.817895126244306,16.585976215333776,17.452225966140357,18.250042406605242],[22.20339088296632,24.01297142658295,26.777748839649803,25.387302668472117,29.13405280979805,22.61235001537841,23.903370409871968,23.628593676541946,20.438384988977543,23.496460536601724,22.560292167012673,22.787572460402817,27.343430857392427,25.695996334500016,28.020787659626308,30.345196772190434,32.221028772565106,35.810059605487986,39.771360725691856,42.21591611609913,45.731594719803645,49.821743207453174,51.20900038894485,51.88616651889796,48.86217132218057,44.764372033626884,42.782270305320345,38.47401969506946,36.93390429054798,34.80515043752371,34.59626228223595,33.915023002696465,34.799349100681646,39.18384796955262,39.193428737137374,39.54906246051973,38.97027435764559,42.386954463795945,43.740525633778,49.48224430891734,48.45773629246382,47.97630740370161,51.883130032187836,53.38027742213777,56.09612011866138,56.3831435579665,60.375666699699956,58.301362505937846,54.51871160565029,59.64901980516312,60.62273494837336,56.99083622317434,59.52254289321909,53.95989110955664,57.6767112384956,60.328083339770345,56.696378846129235,54.108366728476376,58.5386138615461,59.85555054750992,55.00627586990374,54.04063397663037,50.64708204883244,53.13868973182647,52.682553048263834,48.47772619704497,45.26457266033459,41.321965185078305,39.197595635539074,35.08893183848302,35.241298277748974,36.304570877834045,36.99224377046424,41.81138450410412,40.082096652890854,45.16664409666971,46.00533983906194,46.96641767883822,47.47065263017821,50.40334585557053,48.270837148835696,49.963395526765716,46.174550336576985,48.559141366364074,47.51134817929314,44.54199190716915,45.805073479790096,43.88312152969776,43.83353456122953,43.75500789155852,41.29545633603096,42.43435094115296,38.310126541637,35.39180834060819,31.730490337297276,29.718212527579468,26.6918946704727,29.23858273645487,27.11918410147222,26.472890535133,31.815963984665668,32.00158038302037,36.03542586005538,35.54791721018087,40.919520744672276,37.48243968967401,40.096128848203826,41.39403344468847,37.883691876116565,35.67646439726494,31.983095464219385,32.78408622155907,28.642271792796752,31.491677063296258,29.943456010615417,32.377859045823485,34.499375232064175,37.018779829327094,38.84523581403189,35.12828844212638,32.99245019510022,30.042649194255926,30.998586947870603,29.140559668102174,26.80500104284782,31.208878459544312,28.95616370063325,33.44443916438701,35.968246545375756,39.32174332869889,41.29218273539583,44.55303230661004,46.26954655201736,44.940285478323624,43.12557009139826,39.112529993110115,39.4681971979189,38.08131928557661,37.24949155037301,38.61494220574181,41.87653266924554,44.84323096462663,41.680730472497764,39.59405148104888,41.79914979973716,38.408950016305,36.15619420401081,33.359630968988505,32.67029118444529,28.246841674002834,28.51133193861305,24.13813333954955,26.501595085546956,21.511740519658648,22.79985224375347,26.65340484397697,27.395950134994028,30.088551222639733,31.83600488276293,34.56097902120723,37.45906969855582,38.999045050279015,40.215709579973364,43.79804187495272,46.167143260074184,45.79896753029041,47.98259145688774,50.88868420943802,48.3521402847348,44.973307485161484,44.231039385402894,41.68763217719179,43.53997564564626,42.76799399661339,42.08305570557661,41.10358741026685,38.340683908191444,42.558542603831896,44.651884855704296,45.355940622349266,46.550575311422946,42.29678938442688,47.889640765985696,51.243910478609216,49.141220809379654,52.15756998603199,50.678330281392554,55.71546650483906,55.75924094321184,56.18138688946824,56.852002988349646,52.977399312370466,52.48447878434129,50.26734187117912,50.41583903488587,50.80005581185465,46.19845211490268,46.326978856989314,43.66096769729181,40.46252453497546,42.06926925521828,38.54909434027733,36.25569032895008,38.31417255165251,38.307430731971635,33.57928419117505,34.17337022812573,36.328773753809664,34.20478277402867,30.059693429463678,32.10355973422387,32.65836602189189,28.129845937915164,27.990192044512998,31.770562328786614,33.85260289546443,35.93531349691416,40.49174982116706,39.696932962431994,40.718394457287935,45.91783971410262,47.94378100923384,50.28703647213322,48.845755353207785,49.32214770236919,50.786842982117534,48.051050124206974,53.09234183041909,53.001310275071816,48.25807567712841,50.755146222766435,55.319503327038575,52.462186210680755,50.22081756516935,53.43351308901012,54.83847316016316,50.682119538913206,49.8007005140155,45.83295703866766,46.00053897271753,47.99564807266371,45.401204241105525,45.51551604426407,45.621935182358555,42.78901429859545,41.424521417651356,40.97303272875795,38.96435615063219,36.04745644092327,36.0732093063805,34.88479100843386,31.703096509405228,31.46924696970567,35.16583027672361,32.780859984955306,28.72383061882744,32.72531123342141,35.98706549579717,37.435382154893595,40.35074746457543,40.55123181463443,44.886775990866944,43.37066495432798,39.67371160837941,44.057311171662064,46.00770333379574,43.370602437115124,43.53683169352598,49.17133307287119,48.5636326969392,44.52716771036399,47.43817145323522,51.8709294946477,50.10718844641395,47.20002118855421,42.97261856812165,47.35809972890664,43.83138462736338,42.25393439873117,37.78016265886251,36.33758075828851,31.6553932492471,33.999577202932805,36.28084858760484,40.13806151815722,40.524421811120725,40.05471299066503,36.24169178742271,38.12577742385339,33.96524192162106,31.28622236276113,31.407886767903936,30.72377280659068,28.803155007040278,27.441150813877176,26.488528075304888,24.00766321999133,23.16575356639136,22.278361177436604,21.24898936134726,18.761880178135222,19.74266999390634,20.824465121531105,21.84917977083967],[24.03375145221185,26.218236777513884,29.153551129038913,28.46527896824809,32.187771130268544,25.58398763128111,27.114231286047477,26.446192668102412,23.688967983452244,27.051876019170003,26.00698331973067,25.687424509385526,30.6166693731918,29.37920907231159,31.38141079602546,33.53426631219034,35.75953857350934,39.325663072174486,43.50562619358413,45.75568281096566,49.37102880181744,53.36254776478721,54.90591549792727,55.69683927600884,52.59822724753153,48.5751436955081,46.44120689689536,42.143945542200804,40.360656003476215,37.9304968630769,37.649008995804415,36.611930487177766,37.19855509810371,41.68257409927905,41.89035135787153,42.603115111057406,41.81183135677342,45.62428053148157,47.06739056851416,52.603716885851675,51.92719677714971,51.47114068232563,55.25617670261777,56.881475133163164,59.74699764358073,60.11951950205121,64.06290815137591,61.81630234119057,58.03741420624721,63.15071173420715,63.927121626578824,60.263082931505096,62.64582697229623,57.09721606699714,60.54418326878349,63.40194846217901,59.92800586548895,57.117337164669905,61.51357489670524,63.108829256236824,58.31244118808513,57.18089959923919,53.67740598195862,56.38840348189642,56.06707269786834,51.78744017482716,48.793751304099096,44.732948418573145,42.87247002738442,38.65978632619803,39.01246271568495,40.04243435327115,40.46942720468023,45.293436657434,43.31904045087434,48.16034991570097,49.06429387427617,49.70594349371265,50.291839220235246,53.32583909948762,50.989682258122635,52.77508278691573,48.740193987938696,51.2233754348525,50.46862343074593,47.47441954780168,48.853561088733805,46.5692090100096,46.84813121207985,46.37650311222507,44.14558769640269,45.175999655136984,41.04484497989857,37.96511224814485,34.55614137144923,32.43931610007391,29.719643298922943,31.753440248580247,29.581851249614072,28.223486499075968,34.011144304000055,33.88840978956226,38.319955113378185,37.67632989720716,43.12264956934504,39.838038535711924,42.144893131618566,43.6490246390274,40.174483227537756,37.85734904014165,34.46627125353202,35.64321191575409,31.733152853387832,34.89317400819259,33.559811489420824,36.192742136811816,38.333158525328464,41.03057464746174,42.83299350245276,38.959944294832596,36.988993885471345,33.99201169897574,35.07084029035495,33.06892894364521,30.529941256539953,34.73791580571965,31.993813483023466,36.49760957049275,38.76847307768718,42.00695759866701,44.05625957943351,47.076447743438145,49.08180819903575,47.578815940200776,46.14387288912482,42.30378732129234,42.701379692527404,41.608669548581595,41.02295130545405,42.37218830623109,45.867257955652676,48.79314229999321,45.583201893958,43.3906279119564,45.421784568661145,41.89742862195426,39.70257705518749,36.66057099640813,35.7111096134649,31.232654482424632,30.9855947116062,26.4723170211515,28.112401595743183,22.674950644200475,24.385520058806346,28.514606324309046,29.817199505904302,32.36969903413299,34.51201271055914,37.19789363401406,40.51285967629087,42.166300419992574,43.686219820724794,47.11216475388345,49.573962383733914,49.43499129868493,51.387598390534656,54.39533407127213,51.763669786611246,48.51955805456243,47.60926207752232,45.152218184792055,46.79068022397649,45.829176722975056,45.010561179486665,43.71380692611828,41.05342020509598,44.93384193147108,47.378219519136366,47.90547489626532,49.4610543008275,44.982358435242176,50.62524880412407,54.07055235530491,52.16474272550526,55.27396823884387,53.89876591559719,58.96542118099616,59.30531662213387,59.54899847620239,60.224742143049255,56.24706347387905,55.67221571991501,53.35003465934729,53.31969742352951,53.552305236394396,48.98232188039318,48.80970601248033,46.04177984010856,42.714875867872024,43.945325107778324,40.26677701810806,38.3354651594419,40.3229855562558,39.85429102013414,35.26550537642691,36.31945060751033,37.98092890354698,35.327910490663854,31.70288213501975,33.70897659591769,33.75394220539027,29.26177275247159,29.59709412602018,33.012932860287954,35.44557611899675,36.8455412650573,42.066949068417415,41.141526156670444,41.73754449572881,46.888220291549516,48.504175190214575,51.03949240349678,49.47889880670047,50.21604306361646,51.65357694402433,49.11769351635885,54.21809216554901,54.17595514470331,49.777630131586115,52.262425955051945,56.8593055656936,54.213018691252856,52.139338037184544,55.46682523310734,56.922486319637194,52.807710240231614,52.211231564595046,47.98907096786522,48.02838050060189,49.748569305044384,46.83355560830522,46.7502095564532,46.4029308289128,43.80189441213965,42.75750615948426,41.77313048641275,39.59551343427138,37.1569990994373,37.126656088676285,35.39227394328177,32.21903401446299,32.35618451292805,35.584351678034864,32.83004783719609,29.060472172078878,33.17280824137714,36.11592365734564,37.958348457876475,40.841377076753425,41.357448793285975,45.6222544089379,44.04329678398696,40.82086817691984,45.277038803458886,47.15429025274833,44.65212045758791,45.201725013330424,50.65145638992317,50.038184588611756,46.36056528522432,49.41026045288037,53.6463591638663,51.930193833254364,49.25012597494773,45.175209613270496,49.53006068113608,46.15040614499446,44.175941883412115,40.02262610912073,38.436192717983204,33.90602302146819,36.55678641106861,38.894478933675586,42.762923670484795,43.1982466686468,42.414409603944,38.87551131439001,40.64093337739844,36.76198777078231,33.69522585913243,33.412905372049416,32.267347456773464,30.435888759778415,29.658146102371173,28.22621489905959,25.42107746427728,25.39783217936415,24.528738405681278,22.736943561343114,20.00288862257721,20.95835985630404,21.537544061243974,22.13803812680278],[25.254531107657506,27.846192769453776,31.369142122145135,30.676572860767443,34.99560967526045,28.695827933104496,30.600128172607224,30.387110902483116,27.654563406031162,30.97555563536883,30.125168691794116,30.12473680755141,34.83558263650946,33.30157497677299,35.559530748771586,37.84476672235781,39.814623871679046,43.398348504666004,47.356630405862674,49.814134442438885,53.323751329867115,57.41755458179732,58.799938923406124,59.4678279333571,56.457217852103305,52.35238433605279,50.3681747599732,46.05370847910669,44.50669292825408,42.27305916684489,41.998681721510586,41.16525930039006,41.82037563605466,46.25097993982164,46.44092573283045,46.99627710439906,46.29923383282695,49.89444804879319,51.234583518133526,56.891112760643985,55.96962573859479,55.5589877934426,59.44470150459115,60.940887489241454,63.67224824746438,63.9032519363714,67.90920964124712,65.84546676366253,61.98896041321204,67.0588004004357,68.0266548421365,64.42769239657093,66.9536509528614,61.39147632822231,65.00911275485717,67.78314928105365,64.21478680042766,61.54129536797921,65.95883208481146,67.39016646656435,62.55323583075854,61.49566588464731,58.03393394259898,60.56765450533405,60.213750126032956,56.00817274185738,52.789162691190405,48.83482711392893,46.695263430022734,42.5550763669412,42.6703234556869,43.53463668374452,44.2819279734992,49.155662357994636,47.449709038846684,52.365075900466,53.37876323899827,54.15043698542604,54.77308187025997,57.78802179886104,55.54465553994613,57.26502598438354,53.29129964872506,55.67759585312745,54.772757688147585,51.87007025927123,53.24514532302752,51.13097757515259,51.26147863504256,50.922743433153265,48.55553169949295,49.501022728478496,45.38217178180533,42.41029686369099,38.970136261036124,36.77896927416155,34.009298554244424,36.33735529197531,34.20441664074724,32.966117790832506,38.691430842244955,38.49181863254642,42.89844289133997,42.084525490446204,47.432089108771834,43.91175274500456,46.108075321820266,47.38442848783099,43.71066712691645,41.65773473158366,38.10346487922515,39.4797981275568,35.5574973353904,38.59525839177555,37.36060046282911,39.75021704475568,42.01948313494221,44.43028085220421,46.368178164301334,42.71670336551289,40.519848578258426,37.57888141444464,38.32613666023173,36.41813353582453,33.940876009555005,38.09462333980391,35.42053840851928,39.9736521730705,42.224272278401784,45.734701475699794,47.406480948272396,50.55731101148688,52.61461271112738,51.39410840337446,49.72592589316337,45.85731792023328,45.82381186082385,44.84409959001485,44.158552495748154,45.7730661095578,49.043058864573695,52.18084476653794,49.142452497133185,47.0074641619958,49.27610261832583,45.8984062823511,43.58265335130764,40.733173164299856,39.81939954131488,35.35149447252202,35.153605540499804,30.809712359223315,32.55221944180451,27.16998048256693,29.064864389355968,33.14502539886435,34.34536519632507,36.797213078236545,38.94507599721569,41.42447632649187,44.53359554474686,46.33788220602391,47.518005885651114,51.13241720666685,53.36788545087758,52.864064345806,54.8920295635318,57.68663035742112,54.91092242943748,51.68495120512127,50.95364012002353,48.6438258109158,50.5958329732161,49.84188682817865,49.21527118187168,48.064541019258435,45.48371375694901,49.4689333105689,51.761603492731,52.26698978231028,53.59631936242098,49.06736506984827,54.613678092270675,58.00351520861663,56.06149567089335,59.31161344282597,58.01341282951695,63.00266317975543,63.09740585605516,63.345582093584184,63.86227133345707,59.987729901185595,59.22915311573431,56.82771086239036,56.75003313342674,56.80851467445489,52.12707330197956,51.9310166144106,48.92168982276915,45.84376301052091,46.806900737278994,43.32921132045467,41.38353064451307,42.91137938753272,42.42300505524836,37.934160522709426,38.57571385355852,40.07196802550509,37.581044455781885,33.80209609615378,35.4002161097518,35.29959191965896,31.006367945818344,30.987327218557912,33.97602642706581,36.595799749383865,37.85212121021792,43.15899385535819,42.62756578104369,43.11230249652291,48.369784675433145,49.61854677578628,52.586268449068406,51.356434762149455,52.38969164806426,54.09042332860128,51.84449159279064,56.94820783479613,56.58057745422253,52.334314047797996,55.09233905319528,59.476254097790374,56.69213259006357,54.85370467359528,58.33838634701912,59.4155715140532,55.19826369914711,55.0318968879005,50.68351234592117,51.19032498577867,52.85527965252982,49.804366919733106,49.984830672212986,49.53429524090793,47.2352452726497,45.98943878942589,44.71113158546758,42.81267717093526,40.46479087459602,39.99800714681537,38.184759835764,35.08814265494483,34.941029656101314,37.88705546766678,35.067816144771356,31.201994168183766,34.97643687956292,37.82352551516063,39.76089851893399,42.92077069677028,43.810879782209334,47.942201749217396,45.938868629122865,42.90930145045345,47.612384457540415,49.12008311531858,46.476428068394775,47.38565864358114,52.74276718918137,51.708514408281054,48.14489164656041,51.5190567583311,55.49755707034388,53.454088581602505,50.83655236309965,46.70815948515359,50.74223595920474,47.19713647855932,45.11142487144701,41.17098989053015,39.99862131004492,35.57563774421712,37.90747994349832,40.551473448231626,44.35808806724504,45.17080389081055,44.60068939067157,41.45001012399339,43.560421793331,39.827354280521014,36.57638141060081,36.730166206812285,35.47655501403553,34.05053240677892,32.96876175669514,31.102227717396467,28.639505275355972,28.922610620046637,27.289815996517415,25.370447895379836,23.17398445198054,24.266624812112802,24.867689067512696,25.51641768692442],[26.027726870665408,28.711242453929557,32.08869962618324,32.02235937257793,36.056499993520795,29.64482595370565,31.633413536359605,30.99149963472068,28.669243244933384,32.289805355103006,31.391331649481117,30.882504342730922,35.87962720925655,34.82578572624025,36.844898712052036,38.896094521153785,41.166144823934125,44.797870488118264,49.02670917165371,51.20820181999027,54.872864865334414,58.82020139850503,60.41130390405678,61.17724937005234,58.03195318402651,54.03632616085914,51.820185426838826,47.51442384676982,45.72431038876801,43.17882976447944,43.01936340822306,41.74053621702962,42.23612522981883,46.78371000532459,47.03681953860214,47.90149760469948,46.91817993975078,50.878970679853424,52.27214665383118,57.69210307451486,57.15184754502853,56.828879071250306,60.581443900689564,62.18408044967059,65.10146957816286,65.41156950942488,69.3552943112355,67.08644688047924,63.207913099973,68.2425592782886,68.98270646878065,65.36599870218866,67.75270625221636,62.20956666550986,65.57145973348288,68.57929184430604,65.18656822874118,62.315646103270545,66.72760729333768,68.43364597788577,63.6950027227112,62.55006097309392,59.018780711338984,61.83271553983693,61.529306720618486,57.2102892694767,54.31662767822391,50.225791437305055,48.429958250650095,44.208536552151465,44.58063745283394,45.58221743633035,45.99362024612072,50.81929606036842,48.78246342834985,53.52682286906424,54.435988614517996,54.93493562433721,55.51961488756238,58.55595124291315,56.06287313236971,57.79475878398481,53.571765093256964,56.00690847512989,55.38366607715969,52.497489748520245,54.04387891507726,51.61300641377206,52.13225719851445,51.51929718451115,49.43614731214189,50.43435196574321,46.309202283901385,43.15311933756009,39.861675814056035,37.725915182875724,35.12832261483472,36.882833323151,34.62002343793383,32.77329897021162,38.7814079974519,38.23467659780883,42.95379247278855,41.964888510894575,47.338023233737225,43.98470913110782,45.91112875997613,47.39685365716913,43.82068171489139,41.63493140511026,38.40159708156083,40.06351109411737,36.38086331558698,39.72300387002903,38.71945203666194,41.35322160794932,43.66276203804469,46.318880295521616,48.300635680583056,44.44863834398749,42.45408748444559,39.40446466445989,40.30203485773325,38.18383047671203,35.467053740915645,39.41956134869318,36.27745026241352,40.80479989679985,42.81601810160797,46.14322630759736,47.96466826426169,50.848222884093715,53.15173003219026,51.71798441703325,50.45853334863981,46.77744831458731,46.89430175334651,46.17845525443483,45.78203987213501,47.31777965191241,50.914695935926076,53.974576579283664,50.871269870927925,48.581821756329006,50.63213741169117,47.10749758019609,44.848877645995344,41.73472111455964,40.54958113543624,36.053990868422396,35.3926066082813,30.976586792156173,32.11572503363228,26.51604577876473,28.73493883436144,32.94271938666007,34.58416618226824,36.85896471674227,39.36036012031941,41.75786434084332,45.25796648067509,47.183845138464434,48.68501931011823,52.11610238311229,54.45387147658201,54.25651683150803,56.01540771399604,58.9604051297831,56.12746188475952,53.04221521177317,52.092854724047605,49.84461845596362,51.51919853915683,50.555289372475244,49.79531301397915,48.34493977860441,45.898100897560724,49.556839026545944,52.150370508321615,52.47157232524484,54.1423812748925,49.41195225260968,54.992794597731745,58.46631809414581,56.727952646246464,60.058269443056425,58.884646122635715,63.88979106210454,64.33455350154813,64.37232975501736,64.91263952457142,60.919298942508675,60.10882233857168,57.625220766977854,57.38499178603196,57.344121033201496,52.73950956396722,52.27392397191465,49.25996607740139,46.01097486779965,46.71599110078362,43.07039742356674,41.45644035882601,43.053603543020486,42.173781597531054,37.81874095696048,38.99371026345793,40.10071447153366,37.12504492645827,33.89757188605832,35.594033576160335,35.10393807898836,30.839349476546616,31.37244816968016,34.1659312204102,36.98401688844865,37.67054793996665,43.484596210073526,42.677781751576156,42.82212955796452,47.94940709255302,48.965436185666604,51.916214290432514,50.4741794316381,51.62633815374802,53.207777583645445,51.06048570310269,56.18252656808644,55.95926323513259,51.99037213670575,54.637257725226284,59.09247341327213,56.55356177721062,54.797584992848,58.319293112247045,59.55929381763549,55.43491867696591,55.385670919934014,50.86870720879947,51.11810376338064,52.54784544372315,49.27693654019466,49.21967847352533,48.422135076995374,46.262219126386604,45.337526477514075,43.70152770925412,41.61666523835782,39.66327494475367,39.2655270897291,37.045038382211615,33.98016918449064,34.21850286505034,36.81594428655623,33.74876713320368,30.222272354464835,34.13177799433548,36.697703282178324,38.916230221297205,41.92133534495573,42.95226781914651,47.02806548661153,45.12733502331098,42.47056231784999,47.11247698554535,48.67092432906323,46.21811128216696,47.329096942830276,52.51925048130109,51.64227433777986,48.38216774708579,51.7368705821494,55.61113218359141,53.75094577856997,51.33297745641492,47.39455056455211,51.511635275541856,48.204122001224235,45.81026066818143,42.104421378110416,40.63221658276738,36.34813912813173,39.07312404806624,41.61246185300721,45.42886028794213,46.125868687939615,45.18616646353486,42.16460958410877,44.03872275642704,40.538572652825266,37.029865812659665,36.71075104997473,35.11702253106311,33.6893508618977,33.17294650994669,31.061505882849612,28.287551696727995,29.14377449033033,27.774322563685832,25.324207249804164,22.848335021708944,23.8637995862935,24.09640807000297,24.4066931095444],[23.73681077353526,26.57480385154903,29.99532855090729,30.54433183013213,34.5509354793912,28.318309123628957,30.672665269675196,30.02922566157188,28.274851784503536,32.262912169408786,31.713343298375133,31.021654293543587,35.92895020024437,35.25331718766438,37.492412831185035,39.29491564342191,41.46509126153384,45.33427391388206,49.67389091654509,51.63376786830808,55.44490115555486,59.25276803689284,60.9654556856643,61.619184589593566,58.314781379422904,54.42331501804749,51.97487725472296,47.661280472760744,45.92899455557651,43.26386561364352,43.68806518106156,41.95316569362872,42.69416450645508,47.38350108317298,47.35661085232473,48.237398849854934,46.87742925811709,50.88386158858705,52.09854723989435,57.356337168710006,56.96054714105693,56.95270916754998,60.67559895246538,62.14793362390128,65.15632983717268,65.32596928555571,69.25938286386186,66.96144544302952,62.883845236479665,67.77001546418488,68.47902916663342,64.9691157471884,67.44514033435897,61.91022491532079,65.29614328726772,68.49858256607787,65.1903077296259,62.37097890425426,66.8894626859981,68.63272624679273,64.04863692602513,63.113733286243104,59.66523492098908,62.67303847834393,62.16858089416005,57.74003491707244,55.13997180325092,51.009838439593025,49.40356021780749,45.2530060963026,45.72073907780425,47.029904197355776,47.33238974795634,52.049431531560074,49.81229491784937,54.65634615698021,55.198133681319355,55.705752927305475,56.01023228026811,58.85323195916764,56.1057807346635,57.557434435933345,53.131439273226015,55.36447694144226,54.796498649174964,52.156791231545256,54.02499717520164,51.59479695432178,52.479883164590866,52.04493641174818,50.20223027071324,51.52972492189346,47.39430088424766,44.10733232031425,40.67590769979227,38.8476935886019,36.07956852593102,37.40464672351938,34.82652043073713,32.59567624176548,38.602756780523514,37.44352829394373,42.35079529535906,40.85776936759809,46.05947561608007,42.54697070596419,44.13652126540796,45.540959782827365,41.89170821576807,39.85344707746443,36.755191825466774,38.86153598920884,35.46213508738133,39.01261100219824,38.5007212122961,41.180006123412554,43.768003258959105,46.44286674770715,48.82210664755467,44.97304352975584,43.00176412491158,39.78298050164999,40.436096436157506,38.05130255960333,35.03777800674199,38.60767610686556,35.005975264638636,39.50452712361972,41.241402092723554,44.616043200790806,46.23889812228334,48.97600038258344,51.52684795467946,50.16929784689367,49.08430909383866,45.60079760430108,45.518034950446264,45.21097455288473,45.12122178982085,46.80428759731918,50.664507747397394,53.84258800398849,50.89133909481725,48.39685193035327,50.4247249175913,46.9188782298234,44.555463215514024,41.35537228759377,39.85298538551849,35.37644686216217,34.29263949483508,30.10793724459107,30.94699757738512,25.46201063483138,28.224493794123354,32.317302876768444,34.11971417873109,35.97947158914001,38.85817338552032,40.77548867516161,44.39524644033681,46.71318173472141,48.13641713170527,51.56501623380239,53.70951081682571,53.509082491316136,54.981800884007086,57.897763412950354,54.88445326217205,52.001823913426705,50.94555786022948,48.92716543580908,50.58975745251211,49.640217587591266,49.0087919868448,47.46987849913417,45.352387173067,48.84926421722261,51.44491890802453,51.51777621730817,53.18801200360893,48.199117367536594,53.667834247692554,57.144299389064535,55.583492102909865,59.180365106097916,58.3024934951194,63.18745017286582,63.7753506551477,63.51521549732518,63.89568800645405,59.884731402030916,58.8242543292548,56.18896707337176,55.74734837531193,55.48036144946241,50.88791015966396,50.177165144850846,47.02655693180459,43.816316183713774,44.17521445378886,40.56126013555386,39.17319773519826,40.555547431744394,39.410958846006025,35.223736432399434,36.58514719302863,37.33013579907126,34.139872995444904,31.23303183365088,32.83990537762706,32.050317496715714,27.908198593468082,28.722438367123914,31.24252342576455,34.21740006373508,34.48619920839607,40.6141110541781,39.71236500793725,39.618210969499614,44.67664482600242,45.499193535154646,48.52327134459011,47.08305736141757,48.381387341702826,50.01068568545654,48.04745285002513,53.162054482395504,52.85827177143536,49.115057075328394,51.82409658755965,56.19915811562125,53.74843922802867,52.16363022798542,55.78073086162237,56.93739807142558,52.848791714257615,53.10240436262238,48.409689636954425,48.74600698191747,49.9850121834276,46.525460428260004,46.515177732279746,45.52267837040322,43.62869283410999,42.70428693474191,40.74345826443751,38.78323006881323,37.05050101358433,36.414913707157226,34.002372020818974,31.018240091260232,31.266617642166164,33.564531104787314,30.40939463924805,27.000174891012406,30.811573387320383,33.21797543912911,35.56499611370861,38.5828306214306,39.81488237762688,43.793126347556466,41.79077970035407,39.39591233555364,44.07693936606659,45.518954395104515,43.137880139675445,44.49265071971942,49.52131730492177,48.609787354366624,45.600226847672914,49.037940576031765,52.736570800074425,50.91341337778173,48.66885587398594,44.88424186883206,48.966257312861096,45.83863801144941,43.17944869081948,39.73727858921165,38.13336213709832,34.03941767622816,36.996878342439686,39.50998413573684,43.28656414876475,44.00645299797932,42.83666484605229,40.12841627110559,41.97586884126759,38.80482106905321,34.98498665994984,34.582208189659546,32.708974354175325,31.599206257469415,31.25019227160441,28.707166832230147,25.990263912676586,27.465764714249364,25.821700182110597,22.941571339810714,20.66995590456305,21.754793895376988,21.874390969712703,22.125738301633408],[20.911212212548826,23.67565602016416,27.27530364557562,27.256920365099496,31.589189207007486,25.45299192827068,27.84621892585401,27.701680300532896,25.64973637272836,29.48189234093671,29.13900966488849,28.958587719942344,33.51837727892147,32.455363541498954,35.08055511176064,37.04796400058979,38.83470500012656,42.76958886320025,46.86752767990908,49.043830572786725,52.752338830994226,56.672752495863065,58.20566885247594,58.704887800790175,55.47664807754741,51.49904008411418,49.20651835304446,44.866825527644885,43.4292618727313,41.06833496806633,41.61929486111163,40.20487309342022,41.25468480544753,45.88046747580018,45.649165571182145,46.16794665930012,44.986156591166754,48.58867266761801,49.67408011129169,55.16068744908231,54.37613745030976,54.3912811987467,58.26329818374948,59.565196597066354,62.40443702918521,62.43354582237387,66.44003942238204,64.35614110104477,60.223049380077846,65.10618789488588,66.06533486965118,62.60712657773179,65.28393371660555,59.71858966034157,63.424696041525344,66.42942518094763,62.9424099633809,60.37216280149361,64.94896151503158,66.38587236939071,61.744881133435975,61.00205676047487,57.66658731325348,60.43967544651669,59.784731183197756,55.43019119813892,52.58449677992961,48.58376894334979,46.67669024607711,42.64221227275831,42.874444121212825,44.194379004976064,44.80893759454458,49.53300973987461,47.569088629064545,52.66909802193159,53.15929779347211,53.99755467534457,54.21903071246093,56.95642331655475,54.39717701112853,55.72486720788264,51.51309534478316,53.61699431143029,52.72766916571372,50.152170648692874,51.94815759655345,49.89319819347103,50.468550553739156,50.44226876727916,48.36376079399235,49.79137913612396,45.64903000502377,42.509027130239204,38.820163278426804,37.07266484201305,34.00542448830297,35.81370269038633,33.23732741931799,31.595557021454763,37.27421611834581,36.3122606202751,40.91386560793425,39.45557003120856,44.59123346264051,40.80695381327085,42.647539957387,43.779184352281,39.97895771300776,38.12550229974184,34.650909142181646,36.552718782457184,32.9371687110167,36.231118535643205,35.63366562239847,38.07522462975941,40.7398675276956,43.16887782570711,45.672614356569014,42.030399249822295,39.84378283524705,36.65428633792939,37.049240014267134,34.769173829114756,31.882634482173412,35.57047172220363,32.33019254944026,36.88336107575255,38.83674068651376,42.45540427800132,43.86550422463358,46.89227606176454,49.22175555487504,48.12678489009067,46.606360533071545,42.94722751369817,42.648324466120464,42.15713617535818,41.84816473143751,43.66881981898609,47.28721118042111,50.5968744431319,47.76198099282237,45.35014206931403,47.61881536389676,44.27318236769928,41.79531658731409,38.8511250245633,37.54302638310076,33.07826176309882,32.40415498496049,28.356685691023877,29.877427910003796,24.68062250876088,27.23636328314576,31.147981367287557,32.463356727281486,34.400678483296545,36.995944752562735,38.850085565577196,42.0580258466913,44.381456811692196,45.41173372759463,49.06102479953894,51.03099874931957,50.49091100240682,52.17988630712084,54.93495441690513,51.92883487799545,48.93564857860206,48.08102747992078,46.04995227280641,48.02640219745301,47.32091148534804,46.88789755293832,45.67518882180448,43.50436881800419,47.357763038598364,49.59147707952572,49.80324450284171,51.06600872554456,46.21892401716084,51.6321326093851,55.020638453880785,53.26848401129404,56.86385717918021,55.93778547456209,60.774986017377856,61.014961934548445,60.89584232348834,61.20418756188728,57.31059020236911,56.23742067113888,53.64895911994747,53.34285974551528,53.14254869963283,48.44947016140914,47.999090722724944,44.82456238591408,41.79836680327991,42.420751202488304,38.991927430363766,37.22881093791592,38.521793024147854,37.81048830447066,33.44831932961457,34.232226978570274,35.4111696307228,32.762504836810535,29.192050997575343,30.72503592168554,30.394235060964945,26.15939808651542,26.374854485713904,29.197084861922917,31.952863724394735,32.90063030514217,38.47542607477695,37.82985029174966,38.145273323638975,43.36964265824447,44.53029736846461,47.524006620508004,46.307097666803806,47.43870914639212,49.206688817676955,47.11170294100953,52.2149541674786,51.7442414214589,47.661432378725976,50.50657325015384,54.807965296399324,52.075760838516935,50.39395156693802,53.98371203006134,54.96440194564956,50.76476628864946,50.90227225746357,46.36575458657028,47.004080580587406,48.50360069945655,45.28220702785072,45.57105578873256,45.00294788709727,42.95307051872531,41.6140196325281,40.07585518328301,38.36622228248384,36.13444488587491,35.384157645149266,33.48227868311761,30.448153825011165,30.195463595899714,32.96054736588386,30.130122435210524,26.25066965772485,29.931564001330102,32.72951072955982,34.71027730276455,37.91538031567602,38.953747871336226,43.01800337790305,40.90951583767411,38.033630207018874,42.79454671744255,44.20218659527014,41.59755498487634,42.70367841888638,47.94756228733227,46.88466092403822,43.513741579227684,46.9685280193329,50.81076371487622,48.80907821414855,46.33539218604906,42.340140932786355,46.391550026383634,43.02912662254222,40.677729022840005,36.94606989897432,35.59648250331214,31.319009363118592,33.939824908741954,36.55230542576011,40.347287142921914,41.16512106565868,40.348629005007915,37.502392476802605,39.61335183838046,36.2150265804614,32.60527176099182,32.742612194002,31.231744587992004,30.174958992766083,29.151753402367703,26.80910580149106,24.464490302116058,25.363883157965265,23.31988480676983,20.97526590842864,19.062361577575818,20.294314061434207,20.901737743511543,21.63900798475033],[19.228836635419718,21.514834921607612,24.53470757790436,24.396761780373073,28.214318898040496,21.77009772267055,23.85496003879072,23.405649837380505,21.325249534089867,25.228343186695884,24.831964938596418,24.48046493999019,29.113710678906312,28.273975589175734,30.809007902229443,32.65866887143493,34.549804071153204,38.511596531276076,42.74911088175482,44.76882812590424,48.554716433437534,52.39513947876181,54.03519956772443,54.59515690645571,51.296877283316206,47.38292849763213,44.97609800863999,40.64626507619657,39.08100294779101,36.61328295334908,37.27381910203813,35.7082195539374,36.82175381155135,41.48149357382574,41.17033370582355,41.7283390401765,40.46761400726752,44.15731372430723,45.28457023383606,50.70973594253277,50.0572093183646,50.06323007349074,53.879404001132194,55.24341981821412,58.16726780050821,58.280189972687005,62.24724564503117,60.05031279981791,55.959548313627536,60.87459828682654,61.72150102562928,58.22183392993605,60.82781293841371,55.26663200428595,58.90433321918125,61.94616959522364,58.50460446168989,55.88224625451553,60.461871861190346,61.96633357084545,57.36176249843618,56.623840225239476,53.29406521507659,56.17457666342433,55.49202132492181,51.08616412822554,48.41007362853199,44.35462731517767,42.641270015362004,38.596213187650456,38.986301799834095,40.48635392151941,40.888366780674296,45.540180623540856,43.3967951593604,48.498232433714215,48.83408680091421,49.64777223350915,49.78224288146473,52.48380325219496,49.87176179735516,51.19695296257094,46.96997354738993,49.108333404498325,48.272991071229775,45.65192982787491,47.46316123387605,45.360751379792234,46.021798885540534,46.01253193469359,44.022748261201706,45.58938365590377,41.44939351283063,38.25351211815452,34.51297880929737,32.91535386120657,29.79520200882021,31.400539733564884,28.742224530858437,27.109934369393127,32.73382760214959,31.81142526197202,36.37384813851881,35.02090932278602,40.22643520199543,36.56449567442442,38.56140178707829,39.83544602095047,36.16933160972789,34.1107450317075,30.68420151832645,32.38254249724195,28.732414200289277,32.10754584919786,31.4494762488954,34.06226811290615,36.65899568086555,39.28954323392191,41.73818288816501,37.95422945486197,35.921717203656954,32.67362470636946,33.27742799953686,30.907078949697027,27.95715286565633,31.69881394242559,28.432737212771652,32.97095242837955,34.99025486255518,38.426531300900315,40.13880104231207,43.11647162009954,45.354595448927924,44.05970787127244,42.65383409114627,38.97952226153107,39.02843128806557,38.402718338096186,38.15295571742272,39.76959423570547,43.56012022249524,46.71397119886175,43.76216274428005,41.30028948804134,43.411114357525335,39.97326464755875,37.56406826744007,34.4977226022142,33.17066068312495,28.688509699033602,28.028120259498063,23.874202378077477,25.47351949741147,20.316767888742827,22.748671459456826,26.62723094806341,27.913818258889123,29.910072811901667,32.473777316573155,34.44774541085711,37.75478363594415,39.980593686160816,41.21482578851145,44.7511318158578,46.87373772346098,46.587799867781584,48.246586761413965,51.16482358646742,48.28600485409944,45.2526159537244,44.27140240231664,42.107079708445404,43.87155292516317,43.03566332257612,42.48732078445898,41.21913689532312,38.99075675697201,42.83500293133969,45.10931114748969,45.3584733595004,46.722485967908476,41.93221122923327,47.425343874066684,50.848984564503716,49.087524626254734,52.57221516577568,51.581484499614,56.47412212441298,56.858674537330515,56.75504725909282,57.18648052248427,53.22060248558628,52.30303048414155,49.79075706201046,49.55574384612512,49.531615722348384,44.91178006573507,44.54257028925905,41.588346826154904,38.35671784919032,39.30598690237216,35.71561515862139,33.86770052966644,35.60007902545913,35.01569787036011,30.494185113247422,31.55869771599646,33.01978529474219,30.337736152765654,26.7499812567949,28.699273232077584,28.643451531027594,24.17077600751981,24.615967092937943,27.97365521197904,30.461177689496616,31.736677793136057,37.06276168663125,36.076083727287795,36.61295441620529,41.76489785748241,43.38540703856166,45.92923004322572,44.435042958231115,45.22587462659633,46.76694822900311,44.34832750690256,49.45202846595295,49.25867448645258,44.934085579560694,47.5491525871178,52.04635165901206,49.376049610620626,47.436056574379144,50.873535569599184,52.18009092902689,48.047755841275404,47.73566398483606,43.352528200319874,43.61093555354428,45.231689838565096,42.19606972268923,42.30592591775219,41.94796414455886,39.56045415091645,38.30251001152373,37.15880295592992,35.23717195376648,32.77481214296943,32.42402976425378,30.732143434531213,27.59560540993692,27.498884923664548,30.689156584359708,28.009407343239992,24.09915109100865,28.110704021636607,31.112060714963363,32.895776622828585,35.863567014601614,36.46970898316695,40.69689185895345,38.99155368588687,35.791047921853426,40.326312675758864,42.10058572083467,39.58207141438731,40.25893238133485,45.65528683977023,44.97836202757159,41.39963256669489,44.53261229593087,48.670449607709706,46.952575516664034,44.35829335214474,40.364509857699645,44.72891686092517,41.47805415273889,39.32671844080668,35.307830627267,33.596401759100715,29.161652626484916,32.02917567790482,34.348494758726794,38.20985660151588,38.67085465753742,37.72389206226389,34.44975549981539,36.28732801951403,32.686229902745595,29.287370704838615,29.124295422139948,27.79951572456251,26.360730992826674,25.45783496958435,23.577046152847327,20.96121431825141,21.438855551395086,20.03603776120924,17.929906251134163,15.518701394118693,16.689300209377254,17.431777224287483,18.302376847120954],[17.525103184543564,19.596133277001172,22.764902912358636,21.777492416618177,25.990228477196993,19.744916566206648,21.793502123270006,22.038387557855096,19.50873508006222,23.081359068028938,22.928943667029703,23.30129378429253,27.413612604411956,26.017350315819968,29.01287071010044,31.08657735720238,32.486315981530566,36.47714330826996,40.38040074550927,42.689117494373235,46.31991795109222,50.302708124007914,51.70766822885816,52.09456186221943,48.91346621339115,44.89027902167377,42.708921652634565,38.362775440979846,37.165553949960405,35.107108752096764,35.8441212156061,34.74117349500031,36.176437347599254,40.695003397697775,40.18429815006207,40.305962258725046,39.31446898233397,42.48770256321479,43.47347688290022,49.16586994765318,48.036544517114415,48.03568593848524,52.02075540384072,53.19349705888682,55.899715003974855,55.86127543783713,59.907186788483514,57.97077059059298,53.84462796656757,58.76109999082576,59.900383023820254,56.4613455969019,59.282370809663696,53.704866238072796,57.69425966208599,60.47721910135603,56.83274141902336,54.502418132418505,59.11883252444246,60.26353192066745,55.58870217747497,55.0500528328712,51.85400719237249,54.42717855895457,53.59611983364477,49.306016867058844,46.31057484781425,42.43081741007003,40.33032181473895,36.43773717217485,36.518707501876705,37.98636296912667,38.787592513949555,43.43991067464285,41.66628412391448,47.0306474930935,47.35264943890605,48.54351638934943,48.61788826247531,51.2079498682874,48.855867010062916,50.063509909909165,46.13069562457797,48.12751756921327,46.91616814894222,44.359983600962366,46.040205890626716,44.390702561793454,44.640315543685496,45.08504944117009,42.804741634695134,44.43267300741092,40.316800137795916,37.34002377114517,33.35093160781845,31.829603308750734,28.40029281080908,30.642326659671088,28.07384242864073,27.23969639752821,32.35878072568093,31.752277045777443,35.86704107216863,34.62511810935094,39.704453905908274,35.77877465079772,38.07192006915388,39.0175682335712,35.219412269563705,33.402501910937836,29.553520075804915,30.925244414633646,27.008598280676424,29.987513593948492,29.161263626602832,31.442732095286228,34.096912817408764,36.402262945383384,38.95887451684989,35.445186799419375,33.13706900095801,29.957442874214415,30.24818094443064,28.05573346745893,25.329228420159048,29.257071612410112,26.55553014929691,31.119253886032787,33.420427128711715,37.12007273829119,38.57262199600015,41.88645050697441,43.82660667860648,42.84889838725335,40.914119433250214,37.028016797465035,36.823441921349065,35.92638630926693,35.363227159948956,37.13485975548909,40.58104034959817,43.88351547287622,41.064485240175394,38.73624941964343,41.14473915489372,37.91882766385332,35.38926496213345,32.67790577459743,31.646489994658715,27.232044760279432,27.158701465850115,23.24805870405612,25.679716695062748,21.04410722758261,23.064954370778363,26.620791789808617,27.262612672647343,29.364222536054246,31.49533246810209,33.41898501013787,36.1736809709407,38.34596418232984,39.09602067252732,42.88834258283993,44.808823178731636,44.10646252673221,46.05303740475217,48.7675575285601,45.921972490295516,42.74220338559812,42.02672239427631,39.83293221667224,41.978978416429484,41.44357173595019,41.12552350368065,40.26561354014475,37.95888163244568,42.204221458407616,44.03819130276473,44.47172222770156,45.34854121362882,40.78471629897928,46.18183999119665,49.48249901598197,47.48779499886016,50.93156415804272,49.85919133402355,54.68885115762359,54.64682461116588,54.739096936262406,55.097138606077166,51.28598220714084,50.37723008314869,47.94315855274943,47.88576846522673,47.95488890294371,43.240836388491985,43.20178723363315,40.24723580069937,37.26918241710318,38.53370501645205,35.21054226580885,32.931201733523146,34.53734767062189,34.4849877109585,29.832701122859763,30.15473602901659,32.1359847410687,30.15393286884252,25.845363574396416,27.655277952588463,28.154626721520064,23.70852462732979,23.382061979140705,27.020586760420617,29.18620159269953,31.235992155939645,35.82736661577634,35.172945453983296,36.16778264443005,41.43728025472929,43.374921918092305,45.892369733390005,44.672661079696354,45.291232682999286,46.97632900352942,44.45004776944644,49.49134618453198,49.106340377758016,44.448535099588305,47.1968117740899,51.57071092122441,48.59775567144275,46.56490080421887,49.94522304910616,51.032260113271555,46.7980829984795,46.34948276731047,42.191004811187454,42.80449759955214,44.71627700059063,41.98475877784866,42.4289552183523,42.53810668656135,40.01434220320064,38.31359078325924,37.65371729964518,36.03929663001858,33.07717630516392,32.60350189007789,31.510947014717846,28.404662340162794,27.746818255072338,31.361627127848653,29.089483378925852,24.80760959152824,28.528820984859852,31.863186524474965,33.224037597974934,36.351045535954086,36.75353112074417,41.00423711890165,39.1885054915841,35.514289997711494,40.082270778417524,41.781593363902466,39.03729830068468,39.428825887337794,45.01233198202888,44.15313360846877,40.19453748729129,43.32384616501579,47.58640681496365,45.66314828883142,42.823406110823754,38.60753122444357,42.88534148552146,39.36874120421515,37.619567979796265,33.28901940768321,31.930937574342185,27.32324852943336,29.699341917292138,32.121949210009454,35.972063860354965,36.55575307756286,36.071177233180805,32.6424038457295,34.79253810782563,30.92067769823851,27.863629379342363,28.39000430507085,27.55439838972253,26.195325876198634,24.459729836339026,22.926808906873834,20.87078827060767,20.5204844228772,18.6596505206074,17.436861051436388,15.631857330795366,16.884129072150152,18.254269456326693,19.621514209606623],[16.87090906953764,18.206879529292678,20.67311350865816,19.123453775767015,22.847785029120995,16.41534623505036,17.984258230243313,18.23507659590273,15.364163117212172,18.80154500709409,18.697146887521193,19.2829073849046,23.19157097625256,21.741934015145624,24.85998193069614,26.92361524806123,28.204677480040015,32.22914998802646,36.12914637884035,38.41224467859773,42.05311582856827,46.02261660047607,47.43465223545301,47.82029625008238,44.62148936218884,40.60748377111149,38.412335657300176,34.06601748438167,32.89303662847322,30.91672953025524,31.7771077107442,30.753856900924937,32.38812898525085,36.852305830572405,36.186280556697845,36.15243888340968,35.220394968967405,38.25033752202888,39.22795250236098,44.97886156501454,43.77739100687019,43.74651554738723,47.74776117028669,48.91307128363289,51.6129096574366,51.60537881524712,55.645935674069236,53.701038847787835,49.61419651389297,54.57153473674719,55.71614777338702,52.25511760248077,55.08580953956202,49.50636779574053,53.56725182322601,56.271830388220074,52.58715202245166,50.32065625209784,54.94603778387515,56.01238456211986,51.3371663794471,50.87385020571378,47.73650173855479,50.28184784452742,49.370928024570745,45.08297063444602,42.11176204085029,38.252027616786044,36.17686309260469,32.33739978192458,32.445488067269,34.08235193344495,34.834636070085544,39.41017558417278,37.620107967727314,43.087353283947415,43.26340585424305,44.58578960484148,44.56076272474919,47.07569189719983,44.793120099844074,45.96210474657107,42.15572100858606,44.1358374625219,42.82079800068518,40.23370624345148,41.85319159809396,40.35071139125925,40.49176750334448,41.139096951064566,38.81797221343636,40.59755371486718,36.50740563605168,33.58720051197567,29.45078170351455,28.122563009311104,24.50791378485907,26.849521619940983,24.271561276121805,23.88475626299917,28.639530270237962,28.267149582250624,32.08870096260741,31.049513004658152,36.12263693635306,32.242485121335505,34.83092217763366,35.78176664885927,32.10277278916939,30.184591598494688,26.22535439119741,27.173337560373945,23.082376229598847,25.934386750594417,24.915853680063492,27.234230425482945,29.82364054544524,32.20739122140271,34.729760707633574,31.178943584344232,28.909555334104695,25.698803717449938,26.098112477918228,23.901283801206752,21.23293708260012,25.34984224523977,22.948201337790273,27.476243271742746,29.98318530504225,33.57740735760872,35.24099420885014,38.63462059762898,40.33450858377851,39.28288954361865,37.23936908889259,33.243516178427406,33.31676448091025,32.12944619819097,31.470243112874595,33.074622501308234,36.5410221954166,39.73679573613804,36.83571706602815,34.52196392014915,36.8946701057865,33.66082962142964,31.156548270349155,28.482520703137386,27.596120046058957,23.207361496978756,23.484259853944867,19.60821029759821,22.545034093689925,18.35508169337504,19.910362840340735,23.19708468087772,23.456777633662558,25.68588827061012,27.529682038369064,29.58318699798971,32.1729465064243,34.18704951556053,34.94422478740239,38.728016436047035,40.73367565144245,40.12228330939242,42.1745476762851,44.97284216100905,42.28771777205554,38.99796868739612,38.269345748939536,35.90946807245233,37.993892721699495,37.4509913263956,37.104362252523224,36.372776215638396,33.95809008982167,38.36695964990328,40.04715774870415,40.611977199941975,41.384570023859105,37.00388655598258,42.433348327655736,45.71121290391834,43.6050803027973,46.89819044916748,45.709570645216466,50.57267256812729,50.49910031875549,50.702600959883526,51.163688233563256,47.34598298654958,46.61620217567001,44.30530884275959,44.40424981056223,44.701480153266466,40.04341407927936,40.233504373648785,37.53073352114129,34.47095074911302,36.19760624720731,32.8603318554701,30.33565929327816,32.327664078508285,32.62592074838114,27.840717443424264,28.127009247718902,30.578237732411367,28.88517861008142,24.378525686742304,26.498212085266633,27.467118490111677,22.954560526536785,22.553315278837434,26.685481132076728,28.415684059867083,31.002848707530834,35.00717233389348,34.16866890772156,35.51943348325946,40.68375561306543,43.11400109844103,45.19175228875803,43.83430044212414,44.074952574922854,45.581956669505374,42.73781388867666,47.70860758857478,47.51830048440846,42.54903812087373,45.100777724254336,49.58460259072937,46.57800508271586,44.27279920092209,47.45360571986125,48.769144879321054,44.59250279169677,43.642916078321285,39.76275752682136,40.12901747384943,42.26643777501228,39.86526109300813,40.25707470228564,40.746485872333224,37.87154156130255,36.09987334748133,36.0263121384289,34.347518965561264,31.00937433774735,30.897377196109883,30.265617191792213,27.152314447239835,26.444931113274844,30.53265138740105,28.604258816629667,24.303708510138527,28.097252210524758,31.641141613627433,32.64954344402857,35.555220804499,35.475293471547566,39.82530424699927,38.36677690452987,34.27759048631372,38.57427138462597,40.570601944984915,37.86053975712102,37.72759882659776,43.465121614930936,42.91153684066182,38.65838946421742,41.43981163452375,45.996228685737805,44.28109794109116,41.261243201736335,37.00777154328113,41.50343684264977,38.031115893718514,36.6517940140674,31.993578548577407,30.446382789392384,25.70419836619919,28.067268235377306,30.188639550788388,34.047066122240466,34.31121598001625,33.89633900285984,29.989607411871233,31.961867917491897,27.775141249514725,25.166254653296495,25.674856720966652,25.289430441642562,23.574993744061977,21.601403979563575,20.822562035914977,18.807139527790874,17.509319921839428,16.275807642561393,15.87774662804578,13.923513894803808,15.04977517415065,16.854163327870335,18.461851690561268],[20.48609705897328,21.498590999655654,23.70486770742813,21.256825265714852,24.768273131600147,18.515722239908147,19.26755424129225,19.58944171137658,15.798527808923023,18.268424547998936,17.591858270229917,18.715336885370245,22.5093701343635,20.29817433509169,23.167460596600563,25.664562240293435,26.952087430873735,30.5989937266957,34.2497382944867,36.90627532596814,40.30074279135873,44.482011892653794,45.680135974762855,46.18294395483392,43.23174465008635,39.06488239536459,37.253504457280336,32.946538140449135,31.775810091317407,30.09878415404074,30.13547823884121,29.905195634547855,31.28913674229399,35.48818961334522,35.13147568911914,34.94956849691859,34.62341799456512,37.43281164516584,38.625565860003476,44.60593989352366,43.12153312271218,42.648649374310175,46.70499273589913,48.00335411811634,50.52834852932547,50.68986023543918,54.7359316452071,52.882723101801034,49.08636804282027,54.21727688237529,55.44158843974306,51.870157776022246,54.60405526776621,49.044876106719336,53.1239962613112,55.50413739721442,51.68141259635287,49.42298807418043,53.9010728141545,54.83415502545116,49.95701424936412,49.27359029888911,46.074111243818265,48.29210190163541,47.59704310189684,43.48779749810346,40.05456830514792,36.292075010476324,33.856898271012284,29.950920311663616,29.844353737010056,31.076321504328607,32.08508053360698,36.81814354824746,35.391010855134546,40.81986657729555,41.44979569846881,42.872713787801985,43.18292641951737,45.90619144022384,44.03437379436752,45.53639262043883,42.106126855016996,44.30663656825772,42.85551388372115,39.96654109993022,41.09731138072076,39.72070606531056,39.258534087425005,39.80226246955705,37.08911723328614,38.47482222757878,34.40832977044059,31.739844885787345,27.711273878831904,26.006940565802633,22.50635485542696,25.684127983608725,23.634087727843916,24.070840238870634,28.55364386796217,29.133975847462313,32.494478419035346,32.21769659037389,37.38643844572769,33.79063167259372,36.822196492371724,37.82670833071708,34.349608214227416,32.30704700462143,28.264165909061635,28.445343793494704,24.028208755919344,26.363382924990336,24.515535300888754,26.65675045689937,28.758117338494095,31.043944268611316,32.95666307197968,29.459306639327945,27.10807400763998,24.199305458281902,24.968233970677844,23.296378463330317,21.276981731497266,25.938612068321063,24.481272493314467,28.851331248604037,31.721889860775224,35.154966727578746,37.04461569211738,40.594610120060786,41.8712418417703,40.76524660242772,38.45229400633298,34.22980848572618,34.59611653127961,32.76918446316045,31.605806061267366,32.947574886068864,35.91894857028333,38.913013575559006,35.819349662765894,33.860343557847145,36.28294451691607,33.09691977635243,30.770780249927196,28.348457857764053,28.042275011382873,23.786558423094366,24.83467823370073,20.837971947724366,24.220614009921935,20.1974826990252,20.784155681144625,24.010542674063565,23.86028338702397,26.6626142913517,27.787090019466987,30.498149863278517,32.747695332806174,34.11919104912201,34.900438994862924,38.671344291482654,40.90426016677542,40.260429521250316,42.74038870984599,45.52503667192174,43.15560368016553,39.60323661219016,39.07107033367537,36.39984773500342,38.50643721539554,37.993918712086284,37.50265936410078,36.986243378829705,34.12823152286168,38.77841144642799,40.33913403655092,41.27676137572048,41.953375899464746,38.05777167174926,43.53268613085038,46.73878811943644,44.379027723023334,47.24486472777856,45.64007203249678,50.613446701827236,50.28041556134675,50.92711915853152,51.601044331746735,47.87025908074159,47.512222992686546,45.464532463033585,45.870801155563804,46.49649345502541,41.908409254272584,42.47101577316146,40.03119340693307,37.014497482087926,39.19056619483822,35.9222244083763,33.15321163006999,35.370656736211096,36.030584453658896,31.197256460469646,31.199816161815754,34.05482587456399,32.69896915016182,27.98437907563034,30.11326774266812,31.40227204542981,26.949558458581652,26.23217652301702,30.488532544538348,31.96568566740717,34.964650339804294,38.47965555270424,37.783113729540666,39.39430111202027,44.53697979989526,47.16363292449643,49.12036592319045,47.788881092154526,47.84299620256101,49.27203292584103,46.242866216259486,51.13741467512732,51.042771668793456,45.85212755142049,48.2810660050382,52.79223392511315,49.700942364322046,47.20182549929949,50.18975212223328,51.588270377636896,47.43653338862956,46.07189710550384,42.535247479356634,42.79003876945923,45.15985948193475,43.07703344456784,43.420692070389045,44.174897089035156,41.019807578682524,39.260870247178765,39.61740435639036,37.84041776638272,34.304891716244136,34.487588282843944,34.10772406910599,31.00121593248046,30.313047931869566,34.595433738185825,32.79574514312705,28.523238120866676,32.29535180644274,35.90422834949251,36.7647498198017,39.59700522449498,39.28644386335991,43.66306454040842,42.34748049799655,38.03222989931807,42.17789082368704,44.27649571521528,41.53017778737194,41.07846120129034,46.9071281952305,46.411437815687876,41.91059669530042,44.509321064929736,49.22179418180314,47.4917671342137,44.29253924760042,39.9272999696826,44.37496424116254,40.739721929812475,39.769709721642315,34.87717430355873,33.55832705001019,28.750780445145793,30.673416409229063,32.73423697180831,36.521894097137206,36.73113913829045,36.667421115409034,32.42627850884485,34.37426937340057,29.835477570718954,27.84690790381322,28.484939441236385,28.529361180919786,26.472041039731945,24.326952532824535,24.24073490783295,22.303258648254655,20.171644304984337,19.48268846886739,19.747508836403423,17.725995386580507,18.6392221632275,20.420251209712184,21.93469904826987],[22.813702250956208,23.373483307469098,25.268787199953945,21.890773781947825,25.213147926931676,19.5281054001702,19.62110956079429,20.407037492709257,16.03907467914415,17.35707976626702,16.54540166505738,18.55082888494019,21.587800571437892,18.51965398056863,21.48072855477238,24.332906969980513,25.183442928716943,28.509261171273007,31.676020803442338,34.73733329705063,37.820609534078436,42.185015931699766,43.0795986682627,43.532809428094616,40.84192493530379,36.54952711291717,35.165480603553306,30.94845954679143,30.073641480576445,28.938361638129724,28.53595919326194,29.147106034201922,30.595568180267673,34.42044010310751,34.091339613835835,33.494343383625626,33.73766617297069,35.97910847389893,37.18549619538227,43.39902677248613,41.43972695356685,40.68962795804843,44.84849166673233,46.087303501794686,48.33892017696311,48.50943811016928,52.57875670625082,50.96135707073011,47.35865402947459,52.55642958663484,54.00219537855188,50.431448369467404,53.22070658400686,47.71785498510074,52.001450864424626,53.99183914980537,49.984785903052604,47.95402766100048,52.326320800290794,52.92656102826167,47.924061190572075,47.261247200767805,44.1587391332935,45.94193573469372,45.2687844058108,41.39266172377245,37.49248964081955,33.974322258596864,31.060413689963273,27.305293314973873,26.81472438541325,27.76046884594725,29.23294225077503,33.98564020130921,33.08341399856069,38.615129722155885,39.477943319370524,41.224827060469366,41.67190766561389,44.39468897146127,42.97266556410101,44.5643397060011,41.61308571058601,43.812149421081784,42.05058777683891,39.06869008053191,39.79286114306016,38.838843691926314,37.731512274667175,38.54907084791031,35.442955591536574,36.63574065301763,32.684522560775,30.403781556203217,26.3571988709725,24.574040516543405,21.02178013795676,25.080174152664423,23.507900340022534,24.980489584888677,28.730043828417333,30.040959351589585,32.71804696289709,32.96820415147972,37.977786859452166,34.478034379865974,37.89016193226572,38.71719511054162,35.37560963727773,33.44126675213508,29.22748115795506,28.706034792793808,24.08491498015017,25.713628853482575,23.245010693271684,24.95457787530884,26.69228356185598,28.640112843625555,30.173918114103245,26.97142405956756,24.40834438309245,21.84284155855203,22.636527602447664,21.53567547307907,20.244989297520814,25.2222877488597,24.828719017335242,28.936221984348087,32.130773376546884,35.51657938910117,37.37607218263988,41.14837395767402,41.951607261051684,41.00715390877001,38.25138882576915,33.83878013516009,34.26988106794771,31.87084762828636,30.191364093919887,31.399608149645147,33.76386927553207,36.66149232207446,33.55965658551291,31.96284763378065,34.569486724433354,31.621602220598465,29.38706498333935,27.450309343552576,27.736890115590896,23.794635062507776,25.66549039356968,21.98730746989026,25.957853243391533,22.590355165149777,22.391562612379165,25.15933118934819,24.331445161359905,27.402225072245848,27.753906904064014,30.73489054068347,32.34277649859964,33.23028612736826,33.68924594361985,37.5452043885988,39.76463730768042,38.8622162522686,41.76725719478001,44.396100749324184,42.30037574273561,38.533181032714374,38.29167642480897,35.43129202239602,37.74010668401878,37.44313791156692,37.01707761689655,36.91353911187048,33.80233715544885,38.76235122761582,39.924492010720165,41.19323701067151,41.48629902191086,38.11207421492743,43.45998380468624,46.50058791884846,43.86868780945248,46.39425541031888,44.49233169912351,49.43942525194102,48.682103944572674,49.73045473988323,50.49732047329045,46.952036970206365,46.85475555188749,45.05666122715989,45.76753858373759,46.665355026044026,42.14460772476189,43.1312928493321,40.92258659737161,38.11398292692895,40.72615506887101,37.69635978002843,34.60530301262751,36.883058652461365,38.038190451381574,33.21463402636188,32.693326769296476,36.01767922675155,35.23676878861614,30.18958321508864,32.23912177462135,33.975993585350956,29.682369888007248,28.48781911002236,32.87000421771689,33.9613608966749,37.53312846743703,40.296767500568166,39.81549527755631,41.800735930496,46.89551356959052,49.81193266426068,51.60696078267363,50.41465691523802,50.23742024437329,51.65478444055668,48.469570789900295,53.226334440590605,53.113612332704626,47.65607717763721,50.02824255973767,54.45634697763016,51.19311165324703,48.53065430286685,51.31389423557601,52.66229959496391,48.53200926527424,46.80174005332876,43.67487994328862,44.014332983973794,46.66002484957401,44.981324205516756,45.45851782520664,46.621157586700726,43.259600303247645,41.302792254947875,42.185530950861875,40.531097471615794,36.678108174191884,36.98790605165678,37.07436124693398,34.05007917116727,33.128604777780204,37.65785299445694,36.167674745884916,31.83857088839984,35.40367522331517,39.14814044180484,39.694329983328075,42.48971986993015,41.9126477704396,46.26487990665047,45.03455194285055,40.39241548293744,44.36944397871687,46.49766926660924,43.66955318665219,42.83828706233482,48.74525865861242,48.24560878453175,43.443682384751284,45.84350899475339,50.688465431131156,48.90378460387981,45.49744561771342,41.02527128117719,45.365091326709965,41.57426752394564,41.117849354234835,35.9891343935751,34.96976793863884,30.162343730706418,31.525634839569058,33.48564373502386,37.13334225949922,37.311209293832896,37.70314640015779,33.215474542545,35.23712076023903,30.42536250537696,29.118395409459257,30.164377395894007,30.738500460545865,28.580379525368077,25.971566531551456,26.526841270804805,24.98981884664821,22.036640133434574,21.534566230801975,22.62400305080138,20.942602585785917,21.757254503034105,23.73980502518431,25.35983851511545],[28.376070831859998,28.97527471792652,30.44652886547531,27.52927524823286,29.986106274847845,23.862014736733837,23.23127000056093,22.742783460813264,18.18323991111384,19.077165045327085,16.906940865762856,17.95440873516268,21.951377213981186,19.220578548818764,20.53846141032121,23.493408211970795,25.496563165475848,28.13096512278714,31.677283223265942,34.579418895782034,37.620367627051095,41.94371634106397,43.03973278021178,44.05559466127963,41.484137902491725,37.27110946381793,35.94547327503829,31.87840867903633,30.17186571064353,28.586645538492395,26.742449187015527,27.61098116679851,28.022287791107438,31.718502480385897,32.271705051645135,32.35231139956535,32.96349239358306,35.938176077027016,37.7595314447364,43.7340158282241,42.35830778246279,40.97354450270158,44.82980843106269,46.66712318452091,49.11852590970768,49.86922002140194,53.75040983053247,51.715910404386634,48.63454608381406,54.06678531274026,55.02174150885803,51.17037281758111,53.37468981953713,47.94457240169321,51.55240701047323,53.55962995452557,49.76322027721881,47.15955379082188,51.23072350918008,52.35349397295684,47.20938314388091,45.80545487202529,42.336767467908736,44.2701185379602,44.23823302573752,40.393786947071504,36.53163149997292,32.78102168728656,30.270485727641606,26.086292959647903,26.067915740189132,26.464639504435375,27.287661974817578,32.24894660584181,31.041073857573412,35.94135242445164,37.5173601710543,38.64089588707671,39.72034556265219,42.98325097249037,41.67210310951987,44.0011858450387,41.056407484576496,43.859504456404224,42.622498725226365,39.0636302262939,39.31400991903623,37.64518730844141,36.44731393574491,36.183225312584234,33.05650183208739,33.516720030280005,29.52926134835365,27.170833401368046,23.8111556261101,21.22360591018622,18.577548496807665,22.608580322210823,21.707450117436352,23.033896390892505,27.240228275793957,29.458025501572457,32.22884455261305,33.4223769668289,38.82414356118634,36.18625387828104,39.7587547974096,41.24862751304049,38.39389942134933,35.82675237948568,32.17473565850539,31.23199124455998,26.6789572524366,28.478522864146083,25.33056290475331,27.550360723025385,28.443940538736985,31.004474576011624,31.375178857852127,27.647956724176325,25.748324501402042,23.52671471281622,25.59678677692436,24.75320446640574,23.736600207190186,28.88860667858474,28.455999591421424,32.37652185061506,35.53991265027891,38.23665734410409,40.93184037662916,44.33010780620399,45.08319109464595,43.44538897121631,41.311339399829286,36.99337109500046,38.351767642040144,35.66610970719089,34.034146280363004,34.52588957683396,36.986476189303595,39.20562857950434,35.567625115034,34.1824153833421,36.14806766099982,32.826157432557316,31.139522623868036,28.792088277807423,29.266195887209452,25.367616161152476,27.159621382034967,22.83992390286462,26.120705025279236,22.23561050583296,21.207000240627888,24.39376518168326,24.086368109697776,27.808908343726447,27.922502800860155,31.956271229702576,34.16563962338161,34.23779518264585,35.75950763276011,39.02866085399513,41.994241118342075,41.949954990563,44.834800502915854,47.873982971763326,46.166442708627514,42.344510739544255,41.8080441648194,38.57757340014674,40.10693110975053,39.24088790541639,38.143950741232835,37.569753340903944,33.94475367953761,38.51690756372011,40.325587369579495,41.80739919393794,42.888584384055214,39.787811646402545,45.40186352263463,48.57832024083879,46.02157230935073,47.99289172403966,45.64051511311119,50.87009021280215,50.61568254605319,51.90711497101089,53.14382825425361,49.41138278171646,49.847734551782814,48.278642118815,49.09381450754774,50.309212076373825,46.042923400551786,46.960909954530194,45.11909560392826,41.85820519469186,44.64298128343194,41.19840244213392,38.40648116713178,41.304511155446896,42.13270967983542,37.30007074727841,37.647151072493735,40.78461567193252,39.361034071808454,34.93071571654575,37.368669432887145,38.801957747698616,34.316102588539415,33.845779021803644,38.289022687612935,39.55246309529968,42.6694700592777,45.95072071735402,45.02896953486793,46.75553316566877,51.72188076247253,54.60219910204616,56.173408323407315,54.51675125996561,54.242714076925246,55.29269470070446,51.89532117706846,56.68408100453867,57.06945827774309,51.71202523455284,53.67283965279908,58.42049203378033,55.51584439840162,52.653208286617584,55.25959524662425,57.17774178997583,53.227307472916166,51.05822454616244,48.003347626941725,47.52578862472103,50.06523719649393,48.36811103296815,48.22958819765758,49.13447965742377,45.46871569802402,44.185974357389526,45.056758657957076,42.773005154149494,39.25179666690653,40.22472528712732,39.889160758981674,36.76992608931191,36.615765288492426,41.03772870467278,39.2320133588273,35.304235802290044,39.363957193042026,42.89452981062124,43.752517816615544,46.21481019794858,45.48829363576561,49.93851147561251,49.15258851552074,44.734685096470265,48.47585357198342,50.977645263528785,48.41968110371913,47.498033742051426,53.356409202318886,53.311649531810325,48.66704138010291,50.80034595598698,55.782253608783165,54.364012805473166,51.054961387026374,46.73856702097731,51.325204723368174,47.74953679280482,47.14158869430306,42.05792554721409,40.60254049698829,35.80334641256771,37.62911563163531,39.346933016070096,43.033003078053724,42.85775741260841,42.84878450500023,38.05198641382804,39.48826510259137,34.60904089588534,33.42993214857836,33.48520438179391,33.89518555690163,31.063799148488588,29.47438913350376,30.371909495223477,28.03039738011079,25.158833325555428,25.935816368386227,26.538519710711952,23.86261117442406,24.35290415956291,25.741568392867226,26.826407716842578],[28.10066511542658,28.45712370292811,30.050998319792217,26.23460034572305,29.081986022434247,23.75650655950927,23.103475870308458,23.71106646344271,18.941285472372535,19.04235666211027,17.513358372624747,19.838104354952286,22.512856622181136,18.79509727950025,20.968904596382313,24.200584158664853,25.107253468165688,27.669450076231225,30.394183269622904,33.83897119934688,36.500879668427494,41.03550029668771,41.65526475592579,42.315189158801786,40.01487160909639,35.643170069624894,34.80508975766356,30.811075222408352,29.887933027752744,29.13981610460579,27.559422957647996,29.19395720907996,30.17822995891905,33.49527544411605,33.64269908219645,32.93908551421673,33.95938162554963,35.929466578145686,37.426060935658235,43.72376835241345,41.54136582478848,40.194932540472095,44.29691283579468,45.74210337277827,47.762640939657594,48.207216992254445,52.19576449329452,50.66330263700978,47.53074041993905,52.875489952242425,54.33187187367186,50.65378398223493,53.219166767747225,47.838856633733045,51.997115649543275,53.573369688935486,49.48491837502217,47.4387800170115,51.5276049439758,52.00945765394387,46.81927828764022,45.81440723560901,42.65576402649578,43.98969044322833,43.674562816208066,40.11274876795087,35.69156081031515,32.386606999714935,29.09470671867386,25.353951506758623,24.59237631197521,24.80721020410506,26.58655026098755,31.447082685429237,31.074208639673017,36.35217319343479,37.86788984202825,39.65424638431234,40.57773049120234,43.551863979533735,42.67711891843376,44.70418818535229,42.25666363707632,44.71826880298251,42.90251747054713,39.58683809980352,39.66092508049476,38.81402307632272,36.985039711672805,37.552613484537346,34.02556110179661,34.59166327691117,30.798204812545535,28.957160269678738,25.313583753342673,23.05837110655456,20.00508079003388,24.901347561954204,24.147983985697806,26.42384101232172,29.69940845026178,32.036537525462975,34.14266435973146,35.264885509077956,40.27279086352496,37.247087790472705,41.01180763925045,41.96026821025848,38.94063185092279,36.854235295432474,32.76641630653792,31.51662478755999,26.823619417590045,27.867703802484645,24.559683485387207,26.005291561745295,26.925901384610302,28.72313737397178,29.22978674664033,26.190363562092582,23.728844892565952,21.81385459860669,23.2025663151988,22.88511201629844,22.482494458359497,27.693526077431972,28.206563408243884,31.962416561472757,35.378020233902475,38.419787569238146,40.566126273071816,44.355103956312874,44.7244812922653,43.65044051342752,40.772761939150975,36.269335893838566,37.114596082436385,34.105456701710274,31.9592494579512,32.71919775178506,34.427106040613154,36.891547152460696,33.58192314787744,32.51000116018192,35.00058015994409,32.17599703248721,30.316744099580728,28.719366507187797,29.644581341551035,26.066557089545363,28.550140792274895,24.894027005968837,28.951218736035305,25.822400948123093,24.746055006674023,27.32214007910949,26.191620376048277,29.7278172581436,29.30713125301383,32.951441562554706,34.223395053566534,34.277456174673915,34.876073933859125,38.51956271449218,41.02818943205365,40.22927243306599,43.528786021437504,46.144147718209545,44.48664403576631,40.523283866869875,40.45336424464728,37.29228976392677,39.45103959110032,39.121944684166564,38.46992194544328,38.5454800355905,34.99764126507905,40.02583245514908,41.096847856216115,42.7633367561364,43.040077460744534,40.2924045308541,45.599464781993824,48.525356694021035,45.68548563671258,47.6258054551697,45.23896744931972,50.252245612410164,49.27440768464844,50.84025396896074,51.89341312930287,48.47906138025594,48.8562959539308,47.39889138700347,48.42654463901809,49.68380066985614,45.34552647617246,46.659580474629706,44.78366091033346,41.99283710064416,44.982957443147036,41.99023753761494,38.79068046856033,41.31322578200255,42.69828080190953,37.89606061602532,37.30305979630678,40.86566777172141,40.246746910571986,35.202644957339956,37.299252301125414,39.20176949366916,34.949611951445746,33.68289428817273,38.11500569507954,39.03449215119535,42.81048690511679,45.24981710153832,44.810853400749146,46.9497901264572,51.97642094383685,55.04526673222527,56.68947465579342,55.45169844068491,55.099018139250724,56.38510970704034,53.02468086811341,57.68714936280606,57.73342676035359,52.131798714296245,54.313967580994394,58.78110202781239,55.51797550113988,52.67214132722895,55.22280921611582,56.72246295204643,52.68368064311804,50.52083167915614,47.761615463159195,47.874658677045204,50.683750167494345,49.30287660724203,49.64609676209086,50.99457712019583,47.37847763496763,45.545535281260726,46.77797283063422,44.96826581536129,41.04105943639385,41.675931694723324,41.89335230076566,38.88051552833196,38.094941417069684,42.723843829555136,41.286944789079165,37.05214419039362,40.66882526278047,44.41843225597308,44.89775377862337,47.572578224799926,46.789691027950205,51.15536354487258,50.11772791725825,45.352033434475636,49.138832263905535,51.39849975118681,48.601490502228536,47.49310554875243,53.42187225770339,53.05105729960464,48.10003539994406,50.270528051658765,55.234051243106464,53.511947959217906,49.99499527237916,45.50575584593385,49.79479680178794,45.94692354933586,45.82991480294723,40.58257357902689,39.68865832506264,34.91978217968006,35.98564707285373,37.803347445942414,41.31910019734803,41.38207028990181,42.007282150314936,37.27100340102759,39.13363197267856,34.128124940906396,33.39285984252394,34.36233092004181,35.22704708303663,32.76001098896192,30.243696882941194,31.3213513106984,29.73883240492229,26.345074375395633,26.407406656652157,27.76647369741348,25.90914871858973,26.5595870317725,28.39822200803055,29.864148412800322],[32.61927885528039,33.01638155889371,34.52090142800532,30.719353405942286,33.28948848780106,27.94976122881594,26.968612642430177,27.188823778792596,22.32694278185152,21.967186622962306,19.852805967275618,21.92132559778072,24.678136720847196,20.90852638477422,22.13170631998511,25.483021874055627,26.751706453356995,28.653007816840287,31.19071691445122,34.746593553016886,37.118729102454594,41.68577960146425,42.19892436526424,43.13752405591437,41.119099726521426,36.77965818209687,36.266591046161224,32.490031953787906,31.31313344308169,30.62600427427817,28.01045527339351,30.218954485848446,30.594827449721453,33.54413872852688,34.25147399037048,33.73180756690076,35.242824672019346,37.2887431284737,39.096829792645245,45.30270785372504,43.202007062332164,41.37423063051906,45.31537803424008,47.03634625672562,48.9737078091362,49.72577879850806,53.593388173889004,51.99755439259972,49.28029479815343,54.730650182171985,56.045859095313936,52.253396867103646,54.51369816550514,49.253143637947495,53.108668454642384,54.46826382364194,50.42861851868329,48.20845144645337,52.017740744631716,52.597002255647446,47.29613974839256,45.864104912654206,42.577843644857595,43.68047298057757,43.793206025385736,40.46168695820399,35.79625886265928,32.5954331766211,29.2606166852898,25.477236389507656,24.71409823398694,24.23675936140383,25.976913320245398,30.888450288497044,30.763178518281673,35.58024533748649,37.73067224125681,39.30163234256809,40.70885731168889,43.97513079206676,43.43343628102775,45.90265689342103,43.71587397300051,46.47057226480014,44.807842737951326,41.19002429555629,40.798627461286316,39.780190936441294,37.573324997184905,37.627258715616065,33.904002020680444,33.81905038326994,30.1692273603335,28.5978466120304,25.52003532504032,22.7659525267781,20.43968433559696,25.592422067250837,25.46128287300777,27.941877806709723,31.137044324246485,34.13418775752799,36.03759555266824,37.77606601580798,42.870104426747034,40.29144416004033,44.19905049025927,45.3775653122323,42.60207283213117,40.29846688459186,36.42230629187528,34.84751439284785,30.189821008578868,31.075058269025266,27.3250733727971,28.771326504227037,29.087457724118277,30.936727452196248,30.585234818935458,27.556861828539414,25.401571330653123,23.96361704670982,25.912126405477107,25.98945864282104,25.976657051644846,31.240567102538066,32.018783535443184,35.60236568569014,39.061997662952805,41.79390869277919,44.24965519077519,47.93328120955242,48.136376282161415,46.83052872988631,44.09108068303008,39.60495393823841,40.82242861201462,37.540346595958574,35.240100644469,35.63403992156949,37.044125953567594,39.102953832597706,35.594202166830755,34.84936510630796,37.07978014909751,34.245645083178786,32.73510046220311,31.187734461424736,32.401493928939466,29.007914162752915,31.629299933712456,27.821776286808426,31.63248152704981,28.40676494123019,26.852443920866925,29.475619162359294,28.438488713204467,32.28750453408836,31.526185127801764,35.69363345497192,37.00615643004367,36.48235626464425,37.4364522310467,40.78661939213395,43.609849527930656,43.08419322741341,46.52913693638379,49.22438127345722,47.85415586281097,43.81864336157034,43.74964750884649,40.396625457454306,42.27365210828387,41.775859639330015,40.84079228449395,40.84573784396235,36.99415904268291,41.87639418801232,43.106135834080064,44.99304127836811,45.499374904527144,43.10049235032434,48.43866062732488,51.34293520349344,48.45327872237986,49.97285894914569,47.24930416256109,52.342429737494086,51.40303370000232,53.27367254232047,54.57751307039167,51.190757079066586,51.91100970896546,50.658524754389916,51.83308186173599,53.30134264336685,49.10408786988617,50.506732640789885,48.827089021555864,45.93168555879882,49.06220603073994,45.96844489720278,42.82706417920661,45.560827215079186,46.90920020006523,42.10600124899006,41.707636769122054,45.26966083822144,44.50775896845468,39.60943021668671,41.79488931444935,43.635377868310094,39.32683074127977,38.208098224371106,42.64439542057471,43.605902815202754,47.2995727683441,49.8310218533446,49.327263147069154,51.42371032626072,56.42625856290415,59.48945650010158,61.08356368213185,59.72215980927153,59.32403482226464,60.48747412254602,57.0327553690602,61.685749065193946,61.90365971238898,56.296912503255406,58.323642701615235,62.884663359946245,59.71373086591472,56.76997387521774,59.20804140368095,60.88968626339639,56.92139422522549,54.52749193544482,51.89784787755142,51.73776669894577,54.56093674102148,53.251134484856465,53.38200913365275,54.68802267736228,50.92561779479388,49.33166016377195,50.62580887058257,48.588618686351694,44.75985995139994,45.65034478469441,45.747651063107654,42.70251875619663,42.16878071859244,46.770231463747656,45.220713576381065,41.103464529529326,44.877513071445414,48.56572680643215,49.14791029065102,51.73089581804923,50.89013653471704,55.28847225523244,54.39112084787419,49.671381853079566,53.37439889514656,55.750254050510236,53.01876314291662,51.844149656597196,57.76758612065066,57.52009257177355,52.572149321951684,54.638883667313394,59.65715466889478,58.01792615090782,54.49392544664078,50.02438896835524,54.33214225710059,50.49276572960093,50.42457682593343,45.16625507955188,44.23935538271251,39.474629540309415,40.550581106627675,42.30991853692496,45.796804890321,45.775041321556,46.38612603125263,41.526241742936556,43.20918789825002,38.14497672154328,37.58280162754879,38.27631803180939,39.147142982059755,36.42724923770179,34.226626961854784,35.47489076376267,33.650681523821554,30.231410061591905,30.703705069042975,31.93876613363623,29.772194691685243,30.312447623254076,31.925765356554475,33.1844890016387],[33.833815761481866,34.71597131567531,36.689548907058565,33.35208802653001,36.32980017904103,30.556211764911097,30.026985966014117,29.976267139276445,25.279821794572,25.604712348821863,23.399988686955126,24.872819793954285,28.348622569600266,24.98374387178997,26.009772947416682,29.243492063888695,30.953639979528102,32.937790858432805,35.74915131079513,39.14662244770183,41.62674188921598,46.13610672269004,46.778248459753314,47.82860049206497,45.754666260725394,41.448905091818446,40.78690575794698,36.95474233148275,35.52094635603692,34.46315696552503,31.72632243593074,33.551403035470344,33.568691696291154,36.701414494873376,37.70170963106865,37.58815112608894,38.89123846949986,41.40769665229236,43.3241108784504,49.42165812064845,47.61792245464114,45.80134999507166,49.661094217300466,51.518709913345646,53.58810089352599,54.410845642253854,58.25974760753768,56.52493973544044,53.79002042148173,59.26163023669036,60.43116323054864,56.583097868185405,58.723769645626525,53.431942922840065,57.060808652548225,58.60547922238873,54.682303435472626,52.22017011625442,56.0004845235186,56.8533008902147,51.553031124346376,49.89877611307202,46.45672546525143,47.74614891581568,48.056994891184665,44.65808751867123,40.14943083363139,36.80967104881553,33.725229240859626,29.79292082299727,29.252632348372043,28.677834771485013,30.130600556718246,35.07923936356224,34.71367633863314,39.2338762609769,41.58375291136627,42.79047157329183,44.37647648697237,47.823838423724084,47.09362559154368,49.72030123961325,47.253760760849644,50.15868060536619,48.751950451122816,45.05692500206525,44.779348725224736,43.35471467081179,41.44679126492551,41.018598310188956,37.4690926200338,37.15862764381159,33.456183422609094,31.66935501253395,28.853636674684658,25.827498483735603,23.820706088097435,28.493771963052822,28.235923068429578,29.96742459783049,33.88519121631008,36.63018997120737,39.06378038981432,40.642168609250994,45.96702466865402,43.39503068677617,47.09108370169865,48.44931743170185,45.55431906694377,43.131233734194524,39.33156873393344,38.193737480610416,33.559878221003416,34.891624524948966,31.386372303698533,33.09426134930872,33.58579268856763,35.610676773740664,35.347602083103546,32.14515602670371,30.09027994761349,28.482278092013818,30.433803312565296,30.231152915144165,29.815337133920607,35.05773643785396,35.22754454988372,39.063547791696266,42.378942126350566,45.188938897558124,47.680631168511006,51.27050681016396,51.783307975664066,50.35329039700726,47.86620653126512,43.42970959260926,44.567543171760924,41.57407867689253,39.483535824042896,40.000767060765185,41.671075240084356,43.80735604660402,40.26725355393269,39.37455363604834,41.52294053798529,38.5109819527929,36.96844732563875,35.102048707584366,36.00350352770244,32.33614050140272,34.47179098776084,30.279899417698395,33.614389356145345,29.67229071974905,28.531078658958645,31.674122224925856,31.21636072504979,35.06898028648373,34.778921471358636,38.98475088761523,40.77119477675342,40.44751415112934,41.667695557114804,44.97682090585422,47.882557027659196,47.47861349464266,50.754490990174126,53.53284955713213,51.98844927336369,48.02240238005009,47.82867722909647,44.54908083655179,46.34226887636108,45.68842231453458,44.64158190589181,44.33256528707643,40.51136637114801,45.173822881792454,46.78465503458362,48.52060050300809,49.36726893010605,46.6536435986625,52.14578298930225,55.1837203717296,52.43249484035044,54.108542711931236,51.469625690180244,56.638644938332746,55.92843083522389,57.646112768491385,58.93141833492434,55.424484770954486,56.02096973364883,54.61729787172643,55.62156632980779,56.920372202894285,52.62422040167841,53.76471978802201,51.87016144766705,48.83942539102922,51.64437130678809,48.363777115885036,45.43197311545146,48.06591737548423,49.050832367261904,44.207913828238574,44.07807670251322,47.30465594054371,46.12079489893378,41.3864263131945,43.527123631774174,44.99872803014263,40.57286955008473,39.66924579304325,43.91245446701459,45.244948866895136,48.50641118158539,51.65751525062647,51.15342208519683,52.944558782745695,58.065826983582944,60.77388137102953,62.667057772759925,61.27203018475334,61.14997564640662,62.37883768876394,59.08789923091925,63.88426416876232,64.06821036724658,58.675431752577225,60.8063003864955,65.42843619213568,62.34044464458842,59.5458800302357,62.17602533891502,63.8288029626134,59.78839483449094,57.72419569823728,54.76343722045761,54.61595024866415,57.24546765091976,55.58811636451301,55.6132230975303,56.5380974605829,52.94189507542406,51.538128657384476,52.34679493292287,50.16674392546544,46.63800869898192,47.40805588383643,47.04336663908684,43.90566611362568,43.578793352898295,47.92069663191739,46.021375877889405,41.936237124811996,45.86415234642959,49.413630822360595,50.3344252809259,53.03414078828685,52.511205018659744,56.933560044013376,55.85956409537992,51.43906950734419,55.37131094415516,57.647520337185114,54.917458880932664,54.130491946388055,60.01848787359111,59.63994682820401,54.9009909010572,57.23598478859902,62.12236337993112,60.38771106583693,56.99131788869048,52.516273896345034,56.80671021978496,52.93465218491565,52.496814072226535,47.40542961451545,46.45472550025091,41.64445273901655,42.94907910486792,44.94283489169094,48.54984083696149,48.70184448753412,49.11298942154626,44.458470841613355,46.20791234424848,41.268677722911676,40.204389739090416,40.6811816963298,41.13312437010039,38.46521121236495,36.59476076590878,37.318417149521494,35.17576278524415,32.37586911481997,32.61144778054518,33.206974042133496,30.7807350691708,31.38859928985584,32.72889965433007,33.774075569045976],[29.813478536790385,30.80438604709305,33.06792674955491,29.724032212731867,33.16075299867974,27.468393785591154,27.39188775403968,27.792606126446437,23.22769440180492,23.999177799650656,22.35738123028263,24.089596150127576,27.44911761065838,24.062223652816197,25.929969842452827,29.10471519621188,30.415094976386587,32.93208531942093,35.783851731616416,39.1776857636529,41.842257766844675,46.36506666602532,47.01882471869287,47.78168549134628,45.51828256188838,41.15869017955403,40.30214569933344,36.299467604442086,35.177401950071136,34.15191720727397,32.28901805501023,33.71178613823544,34.283644833251905,37.7136651458267,38.21535687894104,37.87218222498355,38.80068894420622,41.15645864391867,42.76601315117717,48.98210121104287,47.0039459499847,45.607347736918875,49.64064169636722,51.20610752924504,53.2799282854676,53.7855202870435,57.757531415916155,56.159163384735045,53.05281051435987,58.41211532469508,59.782294077341355,56.06158581893684,58.51967676323999,53.12748305990726,57.08871632113838,58.77307919418643,54.76541534838331,52.52055509053052,56.54700172228798,57.23109661306655,52.011474062533814,50.76342509741031,47.45789119363096,48.85663593157063,48.77813834607787,45.2236504094252,40.81636357793845,37.44676229926119,34.26574151369138,30.41083569791957,29.753189002985007,29.65575594116445,31.31446103814848,36.24645434305574,35.80948439136297,40.772524869141584,42.6185372538755,44.086593459614285,45.26313191496929,48.443453168944615,47.47660229675724,49.693396992741846,47.03747332370645,49.651228994232255,48.05081935125762,44.65118693800512,44.7619830723398,43.564359392740705,41.90795107742342,41.99320440486021,38.545539792294626,38.76952021445448,34.946551552395235,32.980955650889555,29.65756672992898,27.028310284973962,24.38611138724709,28.95164431373157,28.163473738770733,29.7219040802323,33.728269964875416,35.86245893985595,38.48218934027343,39.46383593216454,44.69004212134494,41.64830224283814,45.18842234248223,46.27425337850896,43.09856493972327,40.943324898829175,36.90433812573019,36.12839988626567,31.472781663903948,32.91022596364679,29.83577953428847,31.44269562811718,32.46769413132685,34.31797389260328,34.792093564116115,31.69634154929708,29.31311603254308,27.372139541004405,28.728874829548978,28.249846360150272,27.5292907183098,32.66947646668858,32.61322179724858,36.61493380296121,39.87958390819346,43.0462720613507,45.14488976569669,48.87127341233886,49.53663820749181,48.40477364514013,45.71587958318322,41.260667877005304,41.929339845800904,39.209560011612645,37.213181883889135,38.12832775235611,39.935992905656,42.478023758692,39.181069970462495,38.05470841057495,40.50388667339398,37.57051652576152,35.701216991776775,33.87060955020604,34.532603935260184,30.71180065149755,32.70934484932493,28.66967301790919,32.22879687918999,28.29288953859405,27.688311727693886,30.832081301022065,30.295257182718654,33.84252632632054,33.87030257317622,37.55360292562667,39.239221170492705,39.45592347793744,40.247669916540126,43.86392070639137,46.41396355267899,45.64107387491799,48.82549754504989,51.44917018306061,49.622225668915156,45.72671861314337,45.603729215403455,42.543632593953824,44.685497988931395,44.253065305706166,43.51764212004473,43.323985016430456,39.79211296128059,44.619860876903566,46.03348000481498,47.575893168636675,48.13737586343312,45.11678512434655,50.54427239203792,53.57530499068644,50.84961942096035,52.92408536661121,50.595510719085084,55.659028417504615,54.80964101038299,56.28257497036085,57.29735013838446,53.81781190104855,54.064149244891496,52.46706528373935,53.33710215860613,54.4022974328308,49.95236996115136,51.01757825217704,48.877611325614865,46.01660700810184,48.625530014601964,45.48780774255888,42.49129678064011,44.80488874636433,45.82398895089106,40.98937321999098,40.56284855016437,43.7559957408923,42.744773842826184,37.80401364100011,39.7594875261111,41.259102678308835,36.903404771262984,35.75800412978036,39.91032687317148,41.25796253964721,44.589135682334046,47.668100049149324,47.34413973246778,49.16224327376001,54.35514091973997,56.99133538556585,59.04864582410108,57.85853748216411,57.85069694003925,59.27006417359688,56.13092113339177,60.94719273156017,60.881778220130776,55.513284142135156,57.86720689447942,62.34738739197856,59.12361409793167,56.47619640003329,59.251432888218325,60.62482362681569,56.487164603457735,54.74504457865209,51.6400207799554,51.88054791662876,54.49216723838164,52.73638200852547,53.03259006375277,53.978217558285664,50.58241790706044,48.89731742043421,49.57424804964897,47.667721343906656,44.056027074986375,44.4744032882076,44.191732727092976,41.07738696786441,40.444893696723675,44.76770866621465,42.9390119250719,38.67850968463687,42.41242987538638,46.023613107481154,46.87500942072544,49.74965125680012,49.37509191762889,53.75093991325112,52.42843428903874,47.9912080887366,52.082883883785485,54.15685529343305,51.31416279319204,50.67744036461976,56.56149880750643,55.947055387029586,51.215049530736216,53.73866140812276,58.51205098197688,56.59950358084667,53.21228311065038,48.68879740247783,52.865769443110295,48.920635496143056,48.43051632244312,43.38868085412802,42.60186881726656,37.801821936588865,38.99119691673398,41.13931564467513,44.754007172757085,45.10225476366907,45.60613871372321,41.17438901255923,43.19418864757052,38.35103742279284,37.063755372597385,37.91106571430456,38.31113523546654,35.973187527151985,33.744053820597884,34.159391509757725,32.28803836834267,29.6370667170437,29.2628594020188,29.880299632066876,27.816159686987216,28.580641742921816,30.119210643501923,31.37553782003847],[26.259936973846706,27.47701614684325,29.907361731985546,27.10446562543892,30.703709204360774,24.658831627921632,25.033388033486858,25.268978263819903,21.0380214328594,22.645401036694093,21.265766974814635,22.55894547687422,26.38748488007607,23.553457105424677,25.724290872822042,28.63706132640659,30.12905443946932,33.13333261425323,36.44065154112361,39.50444057304955,42.527711259663434,46.917606161716094,47.852135421243425,48.56068205513172,45.97907815615063,41.68402252503606,40.38049224410745,36.211745249211326,34.954557924044025,33.525220541195075,32.337189851037834,32.98043339139267,33.74210522876921,37.57961747876402,37.845984205743186,37.71806252188325,38.080227008700014,40.81061319971818,42.310206086675414,48.4131448154246,46.7444144284437,45.711186128372766,49.7400890487115,51.26023827800853,53.57972616494627,53.979595946368725,57.986716935576474,56.21980726599785,52.821092546489155,58.113361756445364,59.36550220046677,55.67225483771904,58.198597163889445,52.71158925181223,56.641706670403124,58.688410658105916,54.788835942780516,52.435069880082814,56.65206359553603,57.547674980515964,52.44772164899107,51.34338879927116,48.00526471883729,49.82736638630988,49.562867086171444,45.73045706098999,41.75388595565687,38.138102973075576,35.32598291934692,31.339837661134524,30.985389917665817,31.410309975874718,32.71218866774321,37.639437850739576,36.691559628674774,41.79326994245771,43.213754213765654,44.540477848228996,45.42929045848741,48.50668918681698,47.09482194001121,49.09388291301722,46.01299803218873,48.53134428688751,47.088619808952195,43.845743881611114,44.40242408738019,42.97050123363219,41.89738371470183,41.9909060050825,38.8833570071787,39.51593997749671,35.53282147306618,33.17563334137576,29.61758610799218,27.228957031075673,24.308486148883315,28.22429414204517,26.899625362985308,27.758165472587766,32.24909578681291,33.710128403678475,36.824315523294324,37.27668803104231,42.57687870710356,39.33945153036186,42.602005012321534,43.73549052844887,40.411642590863785,38.24609939450959,34.256220488645916,33.998199940391004,29.444403800837122,31.38434665721876,28.829231112570906,30.7536731698556,32.24122501714134,34.354772538129964,35.412227444908275,32.049480405034835,29.702161333060573,27.309575766231276,28.492681490890266,27.466147700725237,26.126612590477404,31.097165853048583,30.294907083852582,34.517601990093844,37.57281211445256,40.85330472202733,42.89864992498795,46.50875232344424,47.530309616731365,46.34943337242964,43.91489587804945,39.57016894775029,40.11158105455332,37.83660169348819,36.23607880020121,37.346731942683995,39.7166791459154,42.46509654399027,39.20680825889096,37.69480516726424,40.10192692214905,36.98264764021996,34.926416996871744,32.73620668840522,32.92380449533868,28.833856139286706,30.29682598577083,26.11329534982445,29.402469777251667,25.130870535277033,25.11835937936431,28.51490504992098,28.3522198440386,31.642281184300394,32.25652126548474,35.612675146572016,37.70462822173962,38.42605860095113,39.33492126698961,42.99655645762535,45.47201343668769,44.810816779367585,47.65843655468004,50.38849536604066,48.286129430445484,44.54756993911061,44.21112444364159,41.31927472128628,43.403700506740044,42.87065108159686,42.17589457436305,41.730766127980814,38.45650739386828,43.14030653228803,44.76650935063598,46.01921632419582,46.766826966937245,43.28627734692007,48.7970525075643,51.95179200895725,49.422923247519066,51.865313991800996,49.847295927340745,54.91846860653677,54.369631468364574,55.45786139643189,56.33684561055173,52.70377319302596,52.67144821161681,50.84132659177401,51.46474196180966,52.29580630011131,47.76248486849979,48.52644200824913,46.19526511639967,43.22016655092496,45.5277780476125,42.26746936987573,39.45700339582553,41.6949816989479,42.41930513118699,37.5872185167644,37.44778079574029,40.35797640748826,39.0330040667608,34.27659091041321,36.27281188569779,37.523174380424095,33.09533612140049,32.21545902469746,36.30650908748383,37.863834852547974,40.865421499331624,44.377360558089535,43.904950390072926,45.505295965911046,50.71525915208278,53.19321325024851,55.32995152236472,54.06734070153593,54.19741567641618,55.641330528456606,52.61724157361879,57.51389326634244,57.42892657920956,52.229599261129565,54.64474215922599,59.15727468623039,56.03008060029332,53.50338227234722,56.431876842770905,57.809883078586964,53.64730052608691,52.18104091544091,48.78250514641916,49.020678312774564,51.45416203106845,49.4341609144776,49.697520865052866,50.40791056423782,47.17787886434544,45.554397385453385,45.90548936817392,43.98773453058478,40.54434229983303,40.82966078784708,40.309799632802616,37.16841724860053,36.615771718843355,40.793154908964404,38.82511537474781,34.591707674979574,38.39984338218772,41.93660130647874,42.93962118691002,45.8369469291256,45.62184300855873,49.99766157528652,48.61097046924487,44.362504479860156,48.55646668410224,50.59749166139817,47.80324237893175,47.39989385521397,53.232796429404985,52.61802195852262,48.07562390129062,50.72910095582625,55.41672608975046,53.546232164003186,50.29256897631391,45.83958455463814,50.1112794644237,46.28404059744812,45.45152715665104,40.54871515239414,39.54452912365085,34.73927306407375,36.30282664074745,38.505750757681206,42.22871411067913,42.5871915301793,42.784446387443,38.51631186122218,40.51951378691637,35.85324742784974,34.111469650842416,34.77264315841278,34.863249360809846,32.65006439520965,30.616917770527735,30.633465435166922,28.599366425254274,26.41711589806598,25.858314419440834,26.05408010806,23.88793035249639,24.72354625075476,26.19656022925032,27.439081031390266],[25.352446136441323,26.349791729167485,28.8890163095489,25.395216564574568,29.35589843891437,23.99344418082412,24.4250805181933,25.52006225032706,21.217236887477902,22.350769621758705,21.51590693815637,23.64566330996588,26.555817062136658,23.148144318607457,25.981112230320726,29.01758688286037,29.710976318627946,32.74656623147424,35.49536114694345,38.876027137877955,41.6641088992164,46.16199022642748,46.77543690493781,47.172288410761226,44.749918062360315,40.37671699279545,39.36409863151792,35.249535335245845,34.588090926328064,33.72677042819857,32.89067376556175,33.95393352127076,35.193400928124966,38.82151975319627,38.72073642170414,38.027857992145684,38.588949702333835,40.59552344721596,41.80259889762258,48.11512496937535,45.86674546564272,44.95739675213212,49.16482038454121,50.34707301964957,52.36033348354523,52.477090313290105,56.564797195925195,55.18149506212282,51.68460640379026,56.86573304025523,58.50616614419451,54.974935410450975,57.80829671418793,52.356239539734204,56.72173649806138,58.48937663901271,54.38544831780356,52.46903624963305,56.7333735758281,57.149577466544216,52.0579719912347,51.31618209858032,48.22991045069187,49.66767140399675,49.1291340996479,45.473816180070756,41.18206608582825,37.88078835134329,34.581403293727526,30.948767819038913,30.116147588177242,30.533402397783902,32.447699007415146,37.24647486766436,36.8206075770925,42.226259887003366,43.49010007028679,45.30623472929305,46.00232950503462,48.81801051023148,47.66216215810831,49.36732802842645,46.609116092891,48.82656755859193,46.94728634465864,43.94426355372359,44.45307032691614,43.631965954815556,42.185557430349526,42.93876470413959,39.59765295233693,40.40874746979657,36.54390400503042,34.49507936702829,30.672193379567226,28.57939330469679,25.309457722862234,29.733665668881546,28.43181579873102,29.944431993782885,33.77401448016067,35.24474753208582,37.89285404057366,38.21111545353706,43.19103184201708,39.615652674056975,42.98766062450846,43.6746715621134,40.20365810606334,38.445375044111564,34.12054685616718,33.69305575933607,29.076010421146876,30.488283620239553,27.955255925802362,29.311409535585476,30.92784969782718,32.4598874635325,33.78157239290538,30.943066521322567,28.2004983254892,25.9676211956434,26.51564339157505,25.778873554825296,24.794237980772817,29.706354916643946,29.54022376931756,33.6363824151687,36.8450804711966,40.41846208177121,41.984450647624634,45.89060990923447,46.649336889668014,45.93629348451784,42.937819093509646,38.48273534585522,38.555907692087736,36.125601650152916,34.201186907102105,35.58586116003362,37.44750794906621,40.437729144468946,37.497539664376,36.15645765487126,38.96267422189274,36.22517006650942,34.0028412126404,32.34780046704446,32.79581185659362,28.93822504029171,30.862002497162237,27.208896855288014,31.09015090916636,27.447663878576524,27.38358279023082,30.310405154481042,29.541252761939596,32.647947932509844,32.92325767190171,35.905766617643316,37.30502401292547,38.11240019597322,38.293577310510486,42.249665554123304,44.31838805078641,43.053990606645364,46.15597303301608,48.53677612306491,46.4206611633263,42.61806314781534,42.631701173403044,39.855754733722776,42.44149171884724,42.33256561207338,42.012119481547174,42.047714049348336,38.891252325619924,43.9055427123815,44.9701864400041,46.31594596723896,46.437781777864345,43.171643291121924,48.426657715813086,51.38708670771756,48.66986539754897,51.15582276233941,49.184334793439376,54.059730302111774,52.978329998843286,54.20252658865335,54.89275844437593,51.50683547978503,51.36326511243614,49.584057945908185,50.33521289134831,51.15380231826745,46.55745500585896,47.60324033002623,45.21912989073204,42.63858299668659,45.074867116831,42.19714361201621,39.071459308708626,40.971444579235516,42.14231197842571,37.356947742275196,36.437777061226434,39.67648045335944,39.03382689759707,33.7826333847113,35.47749451426906,37.12433686033975,32.92419402753706,31.36342322585534,35.42864816250888,36.68094872818095,40.23910935697328,43.02125593972669,42.954439087838246,44.89825566105971,50.14247793184166,52.78033664094646,54.96659726967151,54.05927035925186,54.12164073836489,55.76336373163983,52.78221893661122,57.5661429044403,57.19116090878098,51.80832922205499,54.41198312658285,58.678706912563214,55.262345331216856,52.76992178403172,55.664468464034464,56.6803779261037,52.44767381015712,51.03266756648676,47.85276603637479,48.59371115422927,51.22854022392585,49.45606933942824,50.125005265835306,51.19789653616746,48.02486713913696,45.94355400411437,46.58672280425656,45.07827296070742,41.30482343849606,41.30064280067595,41.25772672973054,38.22472498358537,37.134845151298094,41.47634392291955,39.850953737480026,35.381325400729914,38.781509539344455,42.49534871387062,43.15477861716467,46.21625464627741,45.9477745391283,50.237496336483204,48.64468806922744,44.11401164295824,48.33542141712163,50.1643348025164,47.1772308179883,46.629181395967514,52.503188930458435,51.61230003115132,46.83361494663145,49.52645242857724,54.1794327056843,52.05661820192445,48.64444361853557,44.06038264461397,48.076114464334545,44.03270484480418,43.58970108695054,38.56915814476771,38.035725178177636,33.274801718796155,34.207981021414604,36.506193573680655,40.08565092593314,40.65928303054602,41.36047873354614,37.19012244371804,39.54991745647001,34.829778711720564,33.4046066805224,34.815245914871184,35.2673662933164,33.37533388091551,30.595609018863207,30.740896927556374,29.362039115883128,26.769736604409033,25.606720319149492,26.449682561040117,25.01199655777316,25.96536891345056,27.825829412184888,29.38307732879517],[21.55425670189254,23.263612453298023,26.462845848828298,24.027564537496765,28.53028056577153,22.76699614709624,24.173255601834892,25.076198601410443,21.517489612553472,23.91369198649699,23.462069499564222,24.842478644058584,28.392873595533683,25.827285374220445,28.875582041925465,31.529187606575963,32.514043257475684,36.0697280681004,39.338813938155575,42.29416567260993,45.47612579574444,49.78627566089061,50.726959762680636,51.06943180658332,48.29993678489426,44.041081531059255,42.50426129837615,38.23312128123027,37.3872892545116,35.98581158526327,35.89733618448736,35.965558445893706,37.30374506844462,41.40179934494876,41.12195570295504,40.7890460729255,40.626471964953694,43.16030462688563,44.231478457287,50.33029032704966,48.51906435885374,48.0683644433415,52.22901076584201,53.36250023984652,55.66721021465753,55.64618165146957,59.757367800852265,58.17741347214594,54.32552555768293,59.3801472264335,60.86597604593496,57.391816933484506,60.28841217316133,54.74422025053346,59.010755934979855,61.24787802241199,57.31358931785568,55.232937545802045,59.69384803986087,60.409015404757355,55.48168276924134,54.85338541571376,51.7056749748715,53.64348380644268,52.9563623805545,48.99956410090939,45.233776729830105,41.66044559909201,38.831469045402656,35.05601269792875,34.59173703756604,35.467601408304894,36.94902081185534,41.734817832941594,40.7290074560613,46.16299447027625,47.034135781838934,48.58253559753631,49.010374671534755,51.739993821800276,50.02493996541467,51.48655234728976,48.15477134925498,50.25305784666549,48.633637886097986,45.8575873628585,46.93930494217477,45.752452037608265,45.07633506781729,45.70027189335614,42.8067267092906,43.97169966209481,39.94806337181104,37.4423965972257,33.50130861083215,31.598583571190748,28.20739431809534,31.703730392674583,29.77077206423474,30.154774032999953,34.721201597938325,35.1870283879801,38.59666954653585,38.11003222606137,43.162946313451805,39.29466384263912,42.13858678211139,42.86253963046276,39.115832289120796,37.422402821610554,33.20015448360566,33.71992052221957,29.361542445022216,31.518983963389992,29.840507447210168,31.575867817463827,33.79821704097055,35.6049849133643,37.62745880133442,34.517644242015606,31.870186578430204,29.145562171404546,29.410224250961473,27.958338130091636,26.09459206142535,30.585740286620883,29.208853916068882,33.62252089967293,36.42719320222683,40.2234420574756,41.57852964193329,45.29632363097614,46.649607140402416,45.93053495437201,43.31541788158496,39.08066385911323,38.81072680397374,37.156842811910415,35.83248165585916,37.55836603687849,40.117246136090884,43.392205297700045,40.5728981710757,38.75302612504644,41.49258486051317,38.5494428533912,36.09936700631439,33.976228022051835,33.71252919794525,29.515694179004193,30.513375274704025,26.70033654285024,29.974037725845335,25.731951891014727,26.725483062276783,30.058256491957202,29.963485722659957,32.61573844338249,33.81205244874785,36.25356464952761,38.2549524333352,39.802195603080875,40.124528137834254,44.11581661847597,46.02854468572547,44.85974433581278,47.45393944970126,49.90965269725245,47.35445456318612,43.83501357924409,43.581722743828685,41.13703731130809,43.675535488699715,43.44764223210624,43.20317132830235,42.85446511750965,40.106684170534585,44.82716613805761,46.22990099542145,47.13414345429911,47.53863967760328,43.59427753320721,48.919609370560345,52.03999908942868,49.639836927447845,52.66720125871324,51.15492042647975,56.00144902582098,55.31383172144618,55.99348624066875,56.452044255637354,52.890091795930935,52.29036246332719,50.147146743925454,50.492143464187386,50.875313473757664,46.13846045379035,46.66696049078368,43.8805045005819,41.20835471543762,42.99510319779665,39.9772950561367,37.20692121812111,38.77374566505978,39.38660513764541,34.65830142371007,34.09237972737084,36.72117197884155,35.54932779627393,30.577744759931655,32.14610800759921,33.24292059078842,28.976042269575654,27.74202584082268,31.477731191023295,33.23643433127927,36.11751987716683,39.759519198184385,39.628545678687466,41.11767688225538,46.46305093231624,48.634043543383754,51.18272206931398,50.28472770781788,50.73450535794306,52.524686619119365,49.866530500032965,54.79633093376121,54.266547274665676,49.25711780204344,52.06883219748185,56.30963895385532,53.01538329388999,50.83248391756368,54.04497863502264,54.918201435304745,50.60981946985477,49.84512709403894,46.12404900798535,47.03058985309944,49.31916464801906,47.027417886109184,47.71084676388021,48.294873769986516,45.530303635358756,43.530359176267346,43.446231077952284,41.990095119546645,38.60250480650432,38.19789842813672,37.637542052129156,34.57342717025754,33.55169614343844,37.48356865162214,35.52560575578585,31.05728631627679,34.48266359893942,38.01873293115592,39.034127052770266,42.27219805961375,42.47182288648398,46.71250292385583,44.81589121612054,40.72477337862835,45.249811532242795,46.859358406455975,43.892800293940304,43.937533339370034,49.67627287745813,48.59083069823194,44.20235442324619,47.27593744349633,51.6568347355158,49.44882825431888,46.301346475377656,41.81472411315188,45.82411656589951,41.89498956832104,40.79832092229067,36.1347531816531,35.438314199283894,30.726751725375134,32.15942439844847,34.71864016256688,38.440754125861744,39.22370324238016,39.494267408590396,35.81504139367598,38.27608243416312,33.96823732984081,31.66584159391048,32.88595794456642,32.69702163568671,31.192657081690278,28.731430462554773,27.910685762102528,26.341615408639974,24.862096606682304,23.004485982194055,22.886815720553045,21.46965777672568,22.625225595160185,24.283429766069236,25.75309123703073],[18.700238523018342,20.70238611107845,24.336337049323355,22.214696067864473,27.175035308553994,21.714975167360116,23.71483574799682,24.979560200333616,21.932799044032063,24.709011779844538,24.775370414202094,26.157719953585516,29.481906399064485,27.144623329312648,30.597902950498376,33.0599827305945,33.76893988207745,37.597022273893245,40.84427735091483,43.6856694809737,46.953539533546696,51.17768370808688,52.140402064042,52.2841181026715,49.40308959305768,45.20430622290374,43.519475736510316,39.227823761530246,38.60344734566104,37.214647621421655,37.75207652596852,37.482796312882094,39.13644508148727,43.350212919977864,42.75827452309256,42.31951773435938,41.847950776270544,44.26233954304075,45.082593251362916,51.12400561197122,49.26683836362403,49.16183381289527,53.365172965280486,54.27652194149383,56.57982262304949,56.32319451762331,60.468984734704556,58.985490512832364,54.88583434011794,59.77679316235781,61.37460035072926,58.04101374786344,61.13194300879886,55.58090923875678,60.0109819152858,62.362309982562344,58.43496525951305,56.512205531573024,61.097449221212706,61.72096909275873,56.920402709872924,56.569123263338106,53.54144291175644,55.559696391264964,54.63116382675924,50.61038774025962,47.016033455078606,43.47497520046055,40.69245773186526,37.05475321842718,36.565898361388776,37.70988475050533,39.23456586095493,43.90817504530501,42.84058088955797,48.42982292727962,48.966467209056376,50.62444642726227,50.77751347649623,53.290198577985585,51.39860691494577,52.538461967010434,49.07635124735866,50.91629264259315,49.21363043878739,46.728139312625366,48.11296605448832,47.066855550367585,46.637168370061254,47.55668156739595,44.812971297949844,46.28581618221242,42.2585680647254,39.67895965267719,35.55662963279771,33.9463809200582,30.33937742374072,33.55145215561226,31.311192036349514,31.44725916473826,35.96683111011161,35.86665707962201,39.391331138551244,38.36962005706284,43.22064623965854,39.024761538545405,41.593493519917466,42.06895197816834,38.11172483135906,36.71781205169967,32.416742327700895,33.39280468235751,29.231217655968923,31.492377355929435,30.363979335329113,31.986331532025474,34.599006528894776,36.24204052126755,38.79602081180709,35.83293660686765,33.07676445487536,30.193465227419647,29.96061073900516,28.263491262214302,26.110698556605232,30.21268991939574,28.488948901893522,32.94268767622338,35.55162226023602,39.60389521546908,40.54481461894482,44.286329716060514,45.83091895086485,45.38011674890963,42.69663445197293,38.57671350548935,37.84430740722731,36.595108217781124,35.47887362235879,37.53252388237412,40.216245382629694,43.754705618632336,41.20230219671826,39.204919714370845,42.0868886139719,39.25994610828916,36.6163833045049,34.541397366629425,34.01072598078222,29.823631055306624,30.529791494629663,27.022381419914414,30.235331561664687,26.14773977955596,27.66125271573028,30.866533030221905,30.795147613613842,33.03571386331068,34.543360394480324,36.42296047635265,38.35596947378123,40.36835819677304,40.36972442205532,44.50224437893086,46.08155334943476,44.654823317486304,47.05872590335911,49.353307115510525,46.546340784874374,43.19355609904495,42.9701656214568,40.812417395102464,43.57161590948896,43.51153351023212,43.52481682936773,43.2285388060154,40.81372514152657,45.50918938627199,46.7736355203671,47.46549474195085,47.6755133467801,43.48834995488601,48.66364328341134,51.746319061244414,49.44495866848271,52.79679181057924,51.59355819919761,56.28396506196193,55.54672284488351,55.968985726331674,56.18402494024954,52.67288813548452,51.743893626087704,49.42663500284092,49.59858086203513,49.71442357851321,44.89273900590553,45.26905086792796,42.235772185437995,39.76010927803716,41.22407611516118,38.37771845893677,35.65693848885219,36.80896605119607,37.35339854444568,32.73283595971497,31.91535091193132,34.34985908834874,33.293321396140406,28.23229910105475,29.5230676120999,30.528433980468677,26.404941433682506,24.952447780005055,28.447391552408757,30.310944623829684,33.113282695721935,36.804826485369475,36.86493707466554,38.288773613500524,43.68797849149289,45.69277292214383,48.45416726325622,47.77091893439718,48.39202224861571,50.37361577706638,47.93609382735052,52.8560149403047,52.07232428992326,47.19069687443975,50.216444462697005,54.280660187811,50.905401756329326,48.93056230182045,52.29057030762702,52.875961636887816,48.504920793183615,48.15119098367169,44.26009742060355,45.547001762473535,47.736332596778524,45.30602565210872,46.237288665197035,46.760785452003105,44.283317063703215,42.065434188114914,41.744560672135655,40.58638534305316,37.244927965804976,36.431841942508555,35.881790932809096,32.9034291039215,31.58613443511066,35.3490018748959,33.444428544977505,28.8691659556009,32.00866295973689,35.5318467033056,36.5211267753179,39.93874283594534,40.366979966673206,44.50168883062808,42.321593250989764,38.33147163063345,43.01885298612947,44.37090898260901,41.31812106575047,41.61806019567311,47.27367754849349,45.92797547754064,41.6490593996095,44.94796868224119,49.13426782738945,46.75025913253639,43.68102441275226,39.20240590251171,43.057195007194075,39.098727565485746,37.83484196328663,33.3388096180968,32.80886612667965,28.19502137828997,29.564266197700523,32.30926246249206,36.00936054504043,37.027239628793296,37.31743904973518,34.02384209749214,36.72489540708141,32.68764239542053,30.0704862148558,31.612307070478984,31.26817052418727,30.21789155086711,27.529613191392286,26.216472475926018,24.9908343925584,23.959537437421172,21.33215100745293,21.042017015550304,20.181747364051954,21.511576804298954,23.27119379480261,24.867453656649634],[22.464496796488145,24.893028827245004,29.09213517784305,27.04498721846916,32.497267577803434,27.56761054790145,29.815085953036867,31.360794079412745,28.36384517775641,30.959636116153728,31.028795725811545,32.573038606922424,35.78909880991592,33.16754318537315,36.630902456478935,39.243340763213396,39.79334283058176,43.48007072050976,46.419677054676484,49.507943305436115,52.57362275786999,56.905379435580706,57.64201129313692,57.68240106816579,54.989335446483274,50.72391020927634,49.303457383189986,45.06764330101661,44.65532806291589,43.47737181248978,43.78832595874972,43.81452346241736,45.37117174933714,49.4869019380477,49.015615509212765,48.47800074632898,48.19860692146391,50.41367419094104,51.181889914724756,57.31610428542158,55.196107550723355,55.046493062914266,59.31965620632338,60.125145740706294,62.229654027899855,61.85232898458441,66.03106094500214,64.78132900486322,60.68961322387528,65.52115951883142,67.32854747818617,64.06571006649393,67.26007447269235,61.73265657003175,66.29056461394248,68.49514880918474,64.47471518336224,62.682142587409615,67.22632152769656,67.67268970447338,62.81524130901201,62.466962180543895,59.46533447110123,61.22875057033668,60.34929750816999,56.476559118597166,52.58460541081333,49.20352628887166,46.109448101032015,42.56756395459955,41.81263335935126,42.61898730633455,44.494228304958554,49.206579155418794,48.49150550511553,54.04913129204127,54.83865782259791,56.58053589574966,56.87861014085854,59.434248090468294,57.70681366681558,58.87068549321205,55.519044395925945,57.320037670954015,55.49608749767957,53.05342627825993,54.33664507888762,53.42072374131913,52.76924239615709,53.70028601111674,50.783002974185095,52.02461472066584,48.0352926060893,45.595847493977104,41.57250232040217,39.759538424109614,36.27519408644229,39.77661318130705,37.68533150643804,37.84995396719011,42.438904751566234,42.385114161816745,45.91216642341069,44.84863862575377,49.62900665503404,45.304753997706015,47.75435509422276,48.037184157951465,43.94350936561535,42.79788776833441,38.431362834190075,39.556104887199275,35.44628165909758,37.519361490895456,36.40537421226233,37.730218529340746,40.32249104293111,41.60171250457061,44.11368091493544,41.453751663321654,38.52002444566884,35.84312661564733,35.3440028751667,33.89820650893804,31.971147826103,35.947483450111804,34.401075144883706,38.79138058465393,41.3431967878942,45.591121327742094,46.14552135044172,49.981419139808196,51.540363007361385,51.38039788587351,48.47472083342927,44.36945119202863,43.197878403294006,42.04056247381861,40.76803246673369,43.04455394080853,45.32077785987901,49.0115765403943,46.666121212537064,44.835549220008744,47.92526357417689,45.28858911757539,42.60541493479638,40.76388453042067,40.32953725782683,36.21394248725294,36.950903807393615,33.52752817966701,36.66283701629368,32.42672425941342,34.063150890178086,37.36218255103117,37.319157083734254,39.54640922608452,41.02665121683429,42.82312903352572,44.56161938909231,46.60483656374833,46.301528189735215,50.56120753042644,51.924960502565746,50.10539100752551,52.62102344781711,54.62966931511001,51.729621822919576,48.41960424708547,48.438012482297246,46.44690345842831,49.50194847138212,49.64773500769502,49.81263734909922,49.64438128378879,47.253867859419735,52.00392049426234,53.16331545328492,53.86816501163968,53.8860563146154,49.728260510008845,54.77545721700481,57.77274823721955,55.431004556512,58.8457915535681,57.67115958382354,62.25997431039248,61.22186169598196,61.71552579391155,61.77753324126986,58.430960059080505,57.350733657963914,54.99824624335659,55.1448376733385,55.08723627587668,50.20234125616786,50.57013380029171,47.313208841104384,45.15539744408655,46.30261676940808,43.70609926880403,41.02982380434526,41.649483665206716,42.15157209552431,37.73200433080452,36.46803983758449,38.64384869345261,37.77905155600215,32.688949068513494,33.4356735869883,34.22464127155466,30.462642413252468,28.62493452650335,31.422116612529553,33.46934520584001,36.042157835754644,39.72179614938202,40.335429041733434,41.603446497213966,47.06051751644621,48.57689158749329,51.86178974864431,51.601071414015905,52.5760644353282,54.84796853191486,52.76495289348137,57.651609093720694,56.49705570935077,51.84255785219367,55.153769801301756,58.93618991504466,55.421058029522676,53.74333581981676,57.247557273475074,57.36763096913519,52.917567527552855,53.07317059916904,49.0998922177615,50.90179624840971,53.00581861155788,50.4429625595819,51.630776784768436,52.00545235707932,49.86136770668764,47.498521649809355,46.830786950160764,45.92924297772538,42.76640811809399,41.528951466477594,40.83132808092676,37.95420429452385,36.43361119483245,39.78918997273049,37.788860204873,33.22005098492879,35.94916971919065,39.27983498375032,40.39210417448122,44.083887521583286,44.95117675513723,48.889348691890206,46.231755097123596,42.540483944074914,47.457453704368994,48.346385008746225,45.155986635211214,45.893521816744546,51.3612117035207,49.492095144391484,45.402888146509355,49.063641748046244,52.8719747978532,50.073181464798154,47.1108295854764,42.62019345127166,45.947525340658984,41.78878060418301,40.45353136134058,36.33272849575385,36.43198325637045,32.09751485660868,32.925849523969056,36.019592909622,39.526734891773884,41.0416719315424,41.64220041601057,38.89126947141247,41.93893598647563,38.14143520723198,35.39567952952381,37.317857288532075,36.821302062480726,36.1502573364551,33.331416028391416,31.576516913255055,30.622657392039326,30.017893229285278,26.807004813562138,26.268489244221367,25.793073009944866,27.18403355624353,28.732381587638557,30.19263291334108],[17.786219941404678,20.514010862332757,24.748857360241043,23.629718343025623,28.922460715121854,23.687668572822606,26.363423646173537,27.572671499549536,25.224064904890497,28.53866230969432,28.847246257391053,29.83272025549201,33.33212001714272,31.442942094624676,34.95151729738438,37.188138497804324,37.969979511567225,41.99721539075461,45.40177141668278,48.037875196193774,51.44952070329285,55.556274654460914,56.641507031777884,56.7113527230741,53.69096276385087,49.58079618271312,47.674882998530485,43.36471304273969,42.7236150768874,41.11733595680503,42.05165653425511,41.293552205686666,42.98388479139988,47.38309433508278,46.69642551203143,46.42569524486048,45.57199194262051,48.187979035677095,48.879519580247155,54.74415188044366,53.09048880034684,53.275925683299754,57.437690450543975,58.26302651585097,60.66865139673913,60.27862349526085,64.42185943521221,62.90069277891055,58.596976758579466,63.337593979121586,64.89594080058747,61.657633516364584,64.81096853634038,59.25532906996612,63.641535024164874,66.23384079937792,62.41012028695976,60.45586539551844,65.12939176577105,65.86884068337953,61.19206141199738,60.937847115928506,57.914466253931586,60.14427716699011,59.12578409015952,54.99400938578709,51.65703981266068,48.039043470468954,45.451286071083445,41.80745894711264,41.43903931911866,42.73289967728088,44.12460550885841,48.76267784379645,47.48409444612071,53.05509107188744,53.405222497538,54.93634939612418,54.94505304758697,57.37524220491056,55.199994129499764,56.15399130692644,52.4027824887701,54.10680622807443,52.53822754204186,50.265024793926656,51.974868758962124,50.780107367417045,50.762546291260044,51.63617095798698,49.137091140686124,50.75942238937673,46.69197487897056,43.929285357374816,39.81060864104985,38.29768004792489,34.708876847626655,37.42723461960903,34.9075421436314,34.38079455883101,39.21459791777484,38.45446280274223,42.37456371487404,40.79551710806618,45.54219865517697,41.16243130993806,43.254333946190236,43.65203392817333,39.52365974762642,38.326117520192476,34.186170009176735,35.85723580334557,32.0354072053832,34.63066486927075,34.0882404777062,35.7887247212742,38.704511871149954,40.36165188205097,43.28632667776875,40.30603656101627,37.58817170201016,34.550704043599765,34.07382347487355,32.086733741566384,29.55672615737091,33.18356132741078,30.770815004199445,35.25973029530986,37.4865682227474,41.67828124969199,42.29398574166319,45.86681018582626,47.811640754198635,47.48030320059469,45.02266534668466,41.14443099164052,40.031730402904564,39.37983308220901,38.63820333565027,40.941697686927014,43.89248634535136,47.60918378491317,45.234989535717176,43.02251385764863,45.888743299983226,43.04964801049322,40.295220916010905,38.06459536851776,37.12719546501332,32.887251777983614,32.972845938798336,29.577264549084898,32.2454707270546,27.937469211533756,30.168104951108784,33.499463261459326,33.840890519574764,35.676816464446304,37.72822554654372,39.1384767193673,41.33395439875265,43.81121336549484,43.7796660923034,47.91623760190666,49.28476619857822,47.806373138529075,49.8687248900584,52.085814056890364,48.98453601035791,45.896211125475915,45.57493299843368,43.740706963878225,46.526407208326766,46.469409563900214,46.601018269750604,46.116963991601715,44.04070963095021,48.49220244187316,49.896822563052424,50.284310096970756,50.58951844320784,46.022038297878765,51.104400720633414,54.22040446541068,52.15185699906652,55.856940932946856,54.9920147292964,59.57177200262085,58.998387882269725,59.071759008916494,59.0713797567341,55.53646487011941,54.250006445632266,51.69772969079614,51.5717029439342,51.311948800257525,46.44075318543834,46.43307337024696,43.07429853842891,40.70342613154828,41.53097579284681,38.74221393705357,36.36538646734761,37.0214039685393,37.11106733323889,32.72739279847055,32.02560926979827,33.81110424917777,32.44158516142341,27.723140327784314,28.64762974293742,29.081402071996084,25.162648304093985,23.87465164146063,26.704603200565085,29.03439583262953,31.118637236047153,35.467790726659345,35.66757104654372,36.64198687910201,42.077710007939594,43.52172440279283,46.72953193314102,46.2210556329981,47.2647001221312,49.454115179980164,47.4269755629506,52.384764834668594,51.34766312729071,46.885660872236464,50.13996400855494,54.03125360175266,50.73059248942257,49.120575359287805,52.72678151238626,53.03271380092139,48.63030769211716,48.94740923399808,44.6843539502962,46.269952776657604,48.143015998977184,45.31467921807042,46.35903552415013,46.46756251358104,44.473546351096886,42.27040836244121,41.27637603203618,40.3130424154051,37.38542803242105,36.08638561570586,35.11195010103829,32.23054810440284,30.872317099385683,34.060254711953455,31.909694810727103,27.41857109322603,30.306636348170716,33.556689088636894,34.853712882848406,38.479779957797966,39.44215459755073,43.39978154131461,40.81882397255401,37.34206179828826,42.28384370934255,43.268956715251,40.220033480631095,41.141621581401054,46.5461672424693,44.87719062265146,41.03147410864145,44.70362589377619,48.49468417387217,45.933122074935476,43.15021533664412,38.820853733661274,42.43639329644308,38.577090220787746,36.774791674145476,32.79226617624678,32.35103060301624,28.015991222642867,29.568926419119627,32.55541475616744,36.2083516055266,37.52863663884837,37.58301059950549,34.94550027211614,37.78138370571619,34.25290764138743,31.018665103087987,32.53913599174417,31.6680076559139,31.135591667295266,28.698169451270164,26.499958775995427,25.346605407437824,25.40607126214167,22.096058648465867,20.93947858401477,20.425195177407755,21.889577650836653,23.354380265683396,24.77807322196578],[21.17997565687908,23.751367570991395,27.535749244080012,26.49127293910197,31.236286741976812,25.319141519574064,27.507620605350773,27.97977049954649,25.281492885364607,28.573251717512516,28.2440667512019,28.79854453146908,32.93659128699344,31.14431902061207,34.04209221559969,36.35876680143162,37.742465800551344,41.544091508808805,45.22983627037851,47.818332886137405,51.27444177063274,55.40863464753134,56.630891869623476,57.015587115191934,54.01043290520737,49.873667372080924,47.95135495004599,43.619009281742365,42.511606149683715,40.607930458960745,40.881414536221556,40.155401923417976,41.34261739410587,45.757915479593045,45.51346851443568,45.626198992157356,44.90520809881464,47.99837599761523,49.04321153672615,54.855179782404456,53.535968639118664,53.37340209712418,57.417391186376534,58.59875411255621,61.16230390250692,61.109160412420906,65.19315739273866,63.39718080197872,59.34077332458366,64.28620782764439,65.55407823915873,62.108790622374634,64.94471776602317,59.36865258220949,63.39099550615756,66.04276554446518,62.3194244987569,60.0033416190716,64.55015335954495,65.61929425914718,60.829001895072864,60.1583050678987,56.904922742382716,59.26229294936329,58.58519317086986,54.41738952379775,51.086549454602824,47.29300416080519,44.88966025016491,40.97154670602116,40.82939087299868,41.895133019100136,42.98935145606027,47.77819349112229,46.3084197608177,51.587111484710626,52.294517802554005,53.477556120403186,53.81102892670136,56.55394180619526,54.38071591686803,55.750427171159004,51.918338812088194,53.9940346785493,52.73176459466036,50.09572880056545,51.5939238773032,49.95719832438173,49.948350725804666,50.23337737532662,47.74768378523548,49.02460025755167,44.91414529285852,42.058287560374296,38.238661476010336,36.36413110821859,33.1370313530249,35.76817275233202,33.455718517867815,32.68132332886603,37.95316349301253,37.5735667079258,41.7034226941829,40.588417232222476,45.689697090501554,41.748721872980674,43.98701123757029,44.85163713757661,40.962590289861055,39.27949856351311,35.38352769499763,36.802488219783676,32.839342452430216,35.64164962462793,34.640833570711045,36.70833699921835,39.2595101366155,41.32181816340504,43.69390567660984,40.348689835208276,37.8775250609032,34.88731476678351,35.09263349700019,33.17231611208652,30.701035175012247,34.71381012797986,32.2441223940124,36.79989037643683,39.11509538339751,42.953405338019095,44.177971624514655,47.57497030405188,49.5207195384045,48.70811332919076,46.61213329998273,42.68147300324141,42.195019558864274,41.27275401677229,40.50168325102244,42.411569525234164,45.50595287765986,48.90431444788221,46.147184461046706,43.99601854387088,46.5674763679582,43.4364525910486,40.90942903821013,38.36529199860305,37.49561111237722,33.10491616512547,33.14363681189359,29.19692463424843,31.52559021008357,26.65080547014058,28.63310909162814,32.36133659932678,33.06852179115843,35.302411763037945,37.33459516553306,39.377547939766025,42.01713951985369,44.09023376518209,44.68939451982987,48.57578262066446,50.430549968539815,49.463303324198776,51.5675548851144,54.10603468301915,51.213053519235245,48.00090057370827,47.476990777884986,45.33439381940006,47.692604409006215,47.27434966965179,46.998655833754384,46.20319802136088,43.8039947955566,48.08797395019844,49.923339695483456,50.42217248937693,51.233160977213565,46.724904406207855,52.08440186421132,55.34703870903431,53.2980053976929,56.72642765786356,55.583437922527544,60.404398775893576,60.14612897039739,60.36433594690587,60.664669861751,56.94798626598193,55.98804487085872,53.543811095171,53.49122386135126,53.45817878663631,48.67730607510339,48.634130778443,45.4989300285978,42.72628638168171,43.737100527405254,40.56143686006937,38.33611093539108,39.542076018633495,39.404005486939106,34.89025518594807,34.88525152634195,36.637040092117786,34.71324896837398,30.393958687455143,31.75777926528582,32.004368448219545,27.80274329773225,27.173218624519357,30.233674022493393,32.66136870356716,34.43625221046556,39.213501306579275,38.99483592824667,39.79336955658921,45.15737178056467,46.60993618853176,49.621613623942444,48.707496301255134,49.67405868581383,51.58386996345211,49.36174383849532,54.408114167081514,53.75577696867948,49.313138703117225,52.28507106884212,56.475201152790774,53.41733236722447,51.61959321686801,55.13239127325396,55.88840456695222,51.57569662341328,51.52636688119887,47.26553871989616,48.244014752352506,50.0713947882656,47.18405368554748,47.77102482967483,47.66953000696505,45.423321212149816,43.69170594420594,42.665203221982516,41.184140201997955,38.45348898490512,37.65787420860566,36.319125883397014,33.27873922214597,32.53923367504912,35.73959384451326,33.26715828136214,29.025131580305736,32.462044436801364,35.58642133603027,37.17144962735988,40.54509955185685,41.37957413079288,45.484507060921004,43.259513284033964,39.90216498035746,44.70313261439264,46.03167707023344,43.1795186459706,43.99003843690395,49.43693612952302,48.15278576174413,44.36561580525483,47.8295829991383,51.800931725240225,49.53731808317862,46.78449426745225,42.523418996078505,46.41906678895763,42.703052740675005,40.82962196066328,36.76828217973757,35.90643342980839,31.449892765503282,33.417877708651254,36.18859251643028,39.9488583397437,40.946748470338804,40.70144228352628,37.66603626250598,40.106912393567136,36.36454060017863,33.19566929209732,34.004458799404816,33.01198819487566,31.92012109518595,30.124290396986694,28.22137081937372,26.339307488779227,26.337359038200717,23.994592755228286,22.53093072830984,21.031901114929042,22.319794625759346,23.412356838780152,24.521117836362276],[24.48738858952969,27.262367156707192,31.340485406580893,30.23342253788359,35.2519737415082,29.553539827308995,31.800002987291162,32.41821253008683,29.619851231634552,32.73511683548735,32.32283524988696,33.00529700782743,37.11770505514623,35.08446598564375,37.93064697429292,40.38897795863251,41.734096383358946,45.408132565207204,48.9278807222119,51.69819105385024,55.02473252567391,59.25288808522991,60.34106409985273,60.714279920982484,57.837113097734104,53.63416708706509,51.89303309393164,47.58061272883295,46.548872854445804,44.76366260504608,44.759173983960146,44.28605753663343,45.335425559029154,49.666855822899194,49.57798058041713,49.66337179075249,49.12387110434926,52.13647753912389,53.21018057863497,59.102871982798526,57.641310971592034,57.37493609275994,61.45862524363005,62.63433489910861,65.08946318309481,65.01995870955987,69.12614048633908,67.43775400564932,63.430405561480335,68.39054647328831,69.75460930069558,66.31178889870829,69.1652636079854,63.594618213565404,67.65188907730122,70.2022756922505,66.42162414441347,64.13234131640736,68.63053153414202,69.63083702939772,64.76722596648928,64.02075146263789,60.74367470876119,62.939256555439854,62.356589739546024,58.28321748875143,54.729541239904925,51.01319195466881,48.40796915521291,44.5036434546415,44.20722192315033,45.009243327898595,46.30221117245988,51.152149300960176,49.90339356590396,55.11898166961233,56.07186646246312,57.26678296551711,57.762840413049766,60.59286028852298,58.55065868875669,60.01660096694948,56.26587057275341,58.38205861794851,57.070432455223376,54.38955364554038,55.765861276560784,54.162088036346795,53.97036357256521,54.1769745960216,51.55320133491593,52.60468003764448,48.516137460290835,45.76019411282617,42.05085054231599,39.97840352051385,36.880815802661814,39.75415052975086,37.60336758221476,36.90227219178737,42.22398084401372,41.99199707492791,46.10591636759317,45.07254704136951,50.180302597530726,46.21955964230359,48.44035679254702,49.24214627875996,45.29705756899654,43.70298053581754,39.76586004395019,41.19224154849482,37.196320455434034,39.87274893116141,38.76497754562326,40.68461210942821,43.165724495559516,45.055343158536985,47.30630233780087,44.09422238177375,41.52377540803209,38.66884175576253,38.80753932761137,37.068041110225614,34.76695394918975,38.81889639330119,36.516470972964065,41.058434646950765,43.39284415659461,47.31992825086734,48.39486900124765,51.85427215603775,53.7850896474108,53.089486420927464,50.87065390785867,46.90860843941729,46.24285163967649,45.29244272840145,44.38150156497233,46.37581416968403,49.2228227612143,52.67537573052871,49.97280535530776,47.945658801139764,50.62545874449897,47.56949782323838,45.04445637867584,42.6214116601498,41.86201503922044,37.49438249558783,37.62266526984728,33.66892878234423,35.97762709392881,31.00602534918899,32.942490791233354,36.742946135768065,37.45535525318091,39.76690597877614,41.72022802203382,43.83043456782077,46.373493934605314,48.380432269312834,48.864710792243145,52.814336322661575,54.617041253422926,53.46582333464118,55.68099612011001,58.093811379083384,55.179755646643365,51.94661366044611,51.55645330894427,49.44721450713631,51.94938045304051,51.61742521046115,51.378008059269355,50.64215049985412,48.1838062868765,52.50838797269958,54.32219333893082,54.870856725090654,55.616695985324775,51.15757924818868,56.487206957113905,59.71808760390124,57.62350958275684,61.03619509857799,59.84391412221156,64.65258223477221,64.23377369491634,64.54376895535998,64.80396692215905,61.16015094113129,60.17053296603044,57.72835885216277,57.6886648263031,57.59795613596544,52.7784129734768,52.7511201201902,49.511792604452005,46.88345515972365,47.75528651129116,44.6897612009129,42.480376533153034,43.439734045568294,43.278185018963065,38.859812510789226,38.626602326172126,40.25707652500685,38.41629100868295,34.08948114525727,35.17332605489347,35.29483806133924,31.28850403383232,30.454842484656023,33.137597950926676,35.6757899172426,37.29619292983861,42.10081374963051,42.17871431888826,42.870594929954315,48.26276411975608,49.40250401306845,52.724310599063294,52.02664981219252,53.20241031086319,55.257261197080176,53.22807726510901,58.262538093198856,57.43081412616525,53.12148826077149,56.23229394722929,60.28901404468353,57.1686801852595,55.51982048662444,59.104950867859316,59.63633340307662,55.280606706037545,55.47532516492403,51.17412543634626,52.39458202534885,54.181477268077224,51.21912898133852,51.90911457356733,51.702639108611045,49.6208130137541,47.852521276894116,46.631541538234416,45.250085817032975,42.64061325155726,41.65407815495072,40.20453489838373,37.219239244219125,36.412879031903586,39.369168248816884,36.81626566619638,32.621787579342396,35.84234319415524,38.82419589149632,40.5120579264394,44.02221255966337,45.10788656003413,49.10427378668016,46.62833070996705,43.46397139574421,48.38699041697325,49.471840708831415,46.5550279765381,47.60918766506113,52.95617577687172,51.3947902576516,47.71707121829425,51.37602164360417,55.149537812268235,52.66285464654704,49.96842287929994,45.693821349772634,49.31005883674126,45.47536584237858,43.56220833874934,39.69540715926829,39.1721536998024,34.84285278410064,36.51494524712974,39.477227408056855,43.14939323344412,44.40683828089309,44.336078660414614,41.544153160850875,44.164286555629,40.49453592531202,37.291037829698425,38.28868761031933,37.234589537244965,36.293492120644125,34.435267174465686,32.358839272531064,30.601446323421648,30.742750608708306,28.146286921718758,26.620443015719122,25.30427941705364,26.588353542533344,27.560012694842253,28.55156231242736],[22.123487358556904,25.21260000618453,29.563750191985392,29.07913220611089,34.27995296619681,28.885434437053423,31.623100963662516,32.38289776495296,30.153735444328053,33.654234586788974,33.64387055332354,34.19684217327156,38.19453074073226,36.49490690562862,39.62737271277556,41.858168665743705,43.05305134579001,46.99306747482419,50.59584071112931,53.17427575521151,56.6400623083315,60.74603823293545,61.929948619946686,62.154771493640595,59.12017789375598,55.00628474204082,53.04781826716837,48.71600938951319,47.79889422894381,45.92728995199713,46.53107584232764,45.62544911197404,46.93951563236446,51.42142163240291,51.04272618533051,51.112197080185915,50.20243082690606,53.21507568927148,54.075065135531624,59.835041919200336,58.45785652315356,58.54167613264906,62.6244620353139,63.62656618144794,66.14645469759222,65.88400402270626,69.99876068842835,68.32782863338086,64.0816046113932,68.87058587208,70.2601845388844,66.94661485661288,69.93957323784974,64.36976329056016,68.5033478855409,71.24069148031845,67.52108664383101,65.32220018937402,69.94255273694499,70.93919646424264,66.22638138108807,65.72201021410233,62.535256370861276,64.90194195276406,64.09801388131498,59.9164932889616,56.622571797784694,52.880140946472224,50.421566518546406,46.594860140521085,46.36284125618339,47.46902522196453,48.69503223835357,53.4534280376969,52.03254465959523,57.37890692316115,57.96789688071303,59.19902257146688,59.41135792810707,62.03936534749209,59.75125869568955,60.90937879584589,56.963133850787166,58.84400307084493,57.54267096507742,55.14241899995212,56.85452672442908,55.29181799518997,55.44616209009278,55.86606577237088,53.458243210718564,54.837127630388146,50.725592460536184,47.83871465792924,43.96895463997335,42.18343938190698,38.89773313044664,41.38982111631102,38.919857791638044,37.86645468199447,43.19194904092544,42.34575262718646,46.634819362506065,45.05654469694239,49.962436810884114,45.76326656700409,47.624070855195555,48.25340225304584,44.17030631024253,42.824863869781375,38.95793519417195,40.88268576126402,37.168408305973536,40.02476104215582,39.4662087138736,41.37552630297257,44.19648272649771,46.04027366323263,48.76602634139442,45.600297196477634,43.00460482948173,39.970900241004465,39.76280697149336,37.74685554985317,35.13351271406892,38.75877457280867,36.00176172548138,40.52718634921863,42.57717099631759,46.64639270079465,47.38326924556455,50.74360750710727,52.93514561957894,52.41984785589883,50.29386052471926,46.527723293089565,45.507580926448796,45.030253993188566,44.421794667030035,46.655556759962174,49.73220125096202,53.37759464697533,50.88573432565807,48.64665532461239,51.366912932705006,48.36634457968077,45.69441515833908,43.22813531239417,42.14984124055726,37.800334448856674,37.528248461352625,33.8507245864827,35.93053945965364,31.095646838416535,33.56497100661974,37.25268038486486,38.08816404499898,39.972623585982504,42.29859129509541,43.87050242344726,46.46768403505534,48.927300200341016,49.232704023134076,53.23663632466382,54.76768740533669,53.5013622430882,55.43276268135106,57.74558465478117,54.591280205533714,51.58308664486673,51.1362297980228,49.31898466326231,51.90748770053131,51.65667791338715,51.61067347025858,50.83198149464524,48.72733131777251,52.92793068345465,54.69556753688777,54.98690560175724,55.656038964839276,50.91916511445573,56.100010858507694,59.31259142000991,57.38815084839234,61.12314939656921,60.265298217099165,64.92600346144712,64.58469536141583,64.576802292417,64.61699260339897,60.98705904945479,59.67394182724265,57.04792462975012,56.78531650836547,56.404651535483474,51.558346441729554,51.28133955772734,47.82306612453632,45.33909278350576,45.7836594400647,42.849664002265705,40.83806915876861,41.40395386389389,41.01005324559493,36.802121515503664,36.54756474434556,37.77949603478381,35.86388599654927,31.74233605699671,32.55437899788327,32.371118940961,28.591310346607237,27.810411618622062,30.051220511629555,32.798061839548105,34.00762613840181,39.09336119498759,39.258933323551815,39.70914010551974,45.07475585178546,45.921732504296976,49.46400186375889,48.92307728191231,50.33208802501196,52.53884660114761,50.79090208468114,55.80004545755959,54.75734050237975,50.710093949934524,53.986245206674724,57.86803122830759,54.773215388994764,53.37852733584389,57.10800161751651,57.4078928913179,53.05176187890513,53.70261926111357,49.19439035387465,50.68585715295628,52.27666539532167,49.108147473054615,49.963613022478384,49.57370940626161,47.85052311729135,45.98181370961724,44.39398501039112,43.27000140123701,40.86458520873614,39.48611528865303,37.903311138664314,35.04742796879824,34.0808876957556,36.679625106598294,34.10129938844084,29.958627196731427,32.880962707312015,35.701250443825,37.477697979655204,41.108676751999774,42.50149947869097,46.337240849966705,43.59813935532293,40.726876961836815,45.76749653757806,46.58741828289206,43.67480680018107,45.08603109595612,50.24035018859716,48.47257722419066,45.071046330299914,48.93421917003622,52.43224364698674,49.85115748851954,47.34847734283617,43.20541769935586,46.66347375331075,42.94277857443326,40.7148739126528,37.19431785336214,36.71220815473319,32.61962274200943,34.392702742124875,37.45026648682025,41.05507827122627,42.480960846703034,42.26722511044075,39.943166443711796,42.66702180748266,39.3822881369874,35.81650423598072,36.919869819851264,35.59511675035674,35.10943941564768,33.267940303170434,30.643307454984136,29.12515710530916,29.907228107553557,26.760804473318633,24.84181401130876,23.98124743832079,25.385003925322447,26.2980912280719,27.285689593963607],[22.368151834358603,25.671508632782526,30.005124211883192,30.31496861294922,35.33670274503046,29.957753965250255,32.93752080955859,33.40338940270872,31.67047163189112,35.53165592307882,35.59048841809634,35.72428326721327,39.924749511320805,38.67982311198639,41.71563069912016,43.717243444731245,45.10663227075587,49.16978617507569,53.01654744175759,55.33336424025503,58.965701761958385,62.93060921185395,64.30579555022747,64.56304300473299,61.373343650625,57.364284252198225,55.15863338976148,50.81803592204915,49.742870920645906,47.59957416746153,48.46492370588496,47.09474679255002,48.36730229821621,52.99083184919403,52.576697649923176,52.88023957080081,51.63511393131796,54.937258714129925,55.77335106252564,61.31139488220326,60.25962660198823,60.521899085080236,64.5064151295173,65.53796018693255,68.22596762319353,67.96324670052925,72.03571801796646,70.20808766587211,65.86306277811522,70.56874696593192,71.7896464920676,68.5045647427928,71.43750110113606,65.87735425804732,69.83908809164251,72.82488341346523,69.25851231495477,66.93086801212274,71.59103160863657,72.80354646137094,68.20633978149306,67.70463033572565,64.48455185388649,67.11919810963465,66.29253096787563,61.98446139272689,59.00719921126788,55.14358294056881,52.98112305742524,49.09686638885924,49.07642429623056,50.36038382006987,51.321016486237156,56.041330919022236,54.316344795150464,59.581028296809954,59.99375207048618,61.026486232585064,61.12985609336036,63.71832169816047,61.15819207161412,62.22783852015608,58.01792449742915,59.85598432747867,58.77991371368704,56.485056359599845,58.440674281860396,56.64184513595415,57.203445999496246,57.473954861248316,55.34012706312364,56.848130052854415,52.71407230170162,49.64559610939048,45.83371837820352,44.15327828009149,40.93643384704449,42.90878841229331,40.24355532822361,38.625463710894635,44.17297539635566,42.85259733626565,47.447143673214626,45.53493049391398,50.3880676576044,46.224660216585754,47.72652485622784,48.45161168997614,44.3867973810814,43.03594379713359,39.45790247888363,41.80430780193073,38.37547421623572,41.53999965194315,41.33638368606976,43.441243579268225,46.400845837679604,48.42959587408619,51.32971329715032,48.0099394335771,45.55685337072677,42.37878246433585,42.19736024795497,39.93097057913008,37.02661607843251,40.36066087578389,37.061542288802045,41.564639246048195,43.312226297425234,47.291625203290714,48.0139581772095,51.11616623545694,53.61599110006828,53.00134217163962,51.239703406793176,47.69650418476999,46.66421784381177,46.574439085789116,46.30219331435108,48.55383194996598,51.96852928459941,55.6135972504181,53.13510652215801,50.70536632105486,53.270745448821685,50.16744453946465,47.489891308100844,44.797484881098974,43.39934957654051,39.025539075991524,38.25033426213359,34.609720960330236,36.147598803292354,31.19756481541326,34.10371082802427,37.85098320807326,39.063728953112225,40.668747090442494,43.4002709165299,44.72391319127864,47.65119715813592,50.36440771071305,50.86393224395221,54.74594364593963,56.265893248673606,55.20100044729405,56.81740984411241,59.21326429426913,55.922154941182576,53.11139600912985,52.46819606386666,50.80624161772257,53.20602997540616,52.81736459142185,52.734414324624595,51.7042621798577,49.82612774040312,53.73150061669214,55.72101217366032,55.776067889839204,56.687163413524424,51.68447753600686,56.838456434757624,60.11211367839736,58.41447821042074,62.33399572230037,61.69226892899761,66.31793837140894,66.27853459522247,65.99101514551916,65.96859835774454,62.248425121958476,60.77076021186968,58.00665969040018,57.523792545341514,56.942038087496,52.147128100378886,51.54089918355481,47.98023145084303,45.4208256887239,45.45168365570227,42.437989378540045,40.79437696643372,41.23382593943661,40.39283467548976,36.3992714691884,36.590108420058215,37.28926865659669,34.910767970534316,31.3708100062658,32.12921632505019,31.429398621193787,27.79272354802209,27.539000369161162,29.358009958643212,32.4050148690955,32.8641630743176,38.57182873079582,38.548230410892266,38.55971783155577,43.80652734369355,44.27315747015443,47.95251375875091,47.31205623238684,48.963342755708524,51.15873577103739,49.64507269549277,54.6610218143099,53.627819214540814,49.950993824797294,53.21999715672529,57.07255370531892,54.19714744378128,52.997898807842816,56.83177248540354,57.15169160337309,52.870331103930674,53.83632497601704,49.089333268472075,50.49646067213016,51.80011386383114,48.34465786152136,49.08309539155987,48.30675326191684,46.880874943364034,45.228275919967544,43.14986645950747,42.00264656137837,40.02789582477567,38.50779454193777,36.503726587728394,33.74013722894267,33.01380165229241,35.11519895289345,32.2948543744116,28.46395851232773,31.338676324990548,33.81734049203269,35.90849958366935,39.48812054067421,41.18489284248652,44.88881454899303,42.080037876396574,39.69673251625544,44.75764433078048,45.47536237557805,42.72483013811693,44.50446463545436,49.42009657226989,47.66957828549425,44.67492865859961,48.62986429401089,51.89690355199638,49.41827975044075,47.18602130890801,43.270871334172234,46.71009397995419,43.25073531057926,40.600277955627476,37.47130514231694,36.753131498250134,32.902443717838686,35.06020777860816,38.06499485180994,41.64035849464223,43.04552761848315,42.45516878907953,40.453047184373766,43.02616769426672,40.095851008548166,36.163595022228705,36.92045460805683,35.18687175075593,34.90759279870444,33.537095591470056,30.459620182793508,28.784862158703397,30.318490814013664,27.163463625942644,24.609687123862233,23.712386026665392,25.07666147665696,25.642097387854815,26.36012700191462],[19.31098342915983,22.75897229310652,27.25179213981526,27.984419388000394,33.114112965410705,28.218052221604445,31.56427225753078,32.315520624873265,31.068411717550656,35.09527712949188,35.58682470005557,35.785472114180564,39.6461954503603,38.597614647509346,41.95950597741723,43.77569409898889,44.86813249873754,49.13235591265676,52.92433353761183,55.10924605722297,58.79912035679844,62.6507392285359,64.04611619123543,64.11354676373996,60.82927933566673,56.91533397939999,54.581547292293905,50.26905111647387,49.41196880374709,47.32953918579529,48.78612186817883,47.15922548736509,48.77518966515071,53.44995763624139,52.69325350295904,52.84272936347614,51.33775425238661,54.45163960943874,55.0371426536259,60.475008921608016,59.37834518729615,59.96731454333235,63.96492619461139,64.77168324033403,67.44472563129004,66.96663590356027,71.04050696695455,69.30613527852623,64.75875500225129,69.27458896492223,70.5890192136752,67.46299027935534,70.57175153287793,65.04185739235507,69.15925172680927,72.22229062758055,68.67466392755266,66.53623766889463,71.29828705621367,72.39081909339605,67.94688196217558,67.74203189831755,64.67328026304743,67.36462242538349,66.28281699251116,61.93486546631584,59.144941022371995,55.33901671251099,53.236312929075424,49.51312782263711,49.474174747125495,51.02870622623421,52.020246636305096,56.60275745114813,54.83036364127794,60.25717592171949,60.30458436955659,61.486459339156546,61.29075663342359,63.62770557666261,60.933320216004276,61.66278935953368,57.3942745031152,58.948828059603215,57.776278142793444,55.78598950074781,58.00338567207996,56.40180880958545,57.161494540178936,57.781852823443515,55.78227766169949,57.62062459601001,53.50733760815413,50.41202987192321,46.41018859337237,45.0514075940564,41.61050735781962,43.379695475254934,40.48010297801435,38.80614337205707,44.109730806743904,42.32442951499954,46.879434415206866,44.50911945681114,49.07874666791405,44.65594394498395,45.89928931131726,46.35784743889958,42.17463737735134,41.13937504934892,37.564962716166434,40.251724427375784,37.08460825692967,40.25720306027372,40.529334429975584,42.50918554268823,45.74921635244469,47.633693609913436,50.96445684429602,47.79354083947013,45.28874875809619,42.01212096092748,41.44582569623749,39.00642585604556,35.92646834353561,38.82970239565581,35.302987247617054,39.71010657521118,41.23621191828603,45.360382758617895,45.69870050547547,48.76782221948972,51.39823253526677,51.03881135818797,49.23789024309319,45.86329926775368,44.46532670800084,44.745764304163316,44.688389418210456,47.15787959427546,50.6699264686563,54.47819785270141,52.25205257350525,49.684865717803014,52.32729111255309,49.36721849523883,46.55860609956541,43.957502765349915,42.36133498982074,38.10321299382742,37.12471826479407,33.89257877356756,35.429142353341845,30.879370413385228,34.09864326107434,37.565721025076826,38.6756549790243,39.877116557354775,42.78964555773616,43.57001929459487,46.35208128594042,49.43921365835005,49.63845687791933,53.59211740588602,54.79300523459741,53.53602620753725,54.94526292560161,57.18546114976298,53.71733624183043,51.10367866620592,50.473107404331024,49.08809246869988,51.63158808340167,51.40141245218238,51.56377125948144,50.62575956075133,49.07864258081058,52.951902351198,54.738756304356414,54.60960478892194,55.294015440856064,50.14961725171121,55.08911032639701,58.28402614201066,56.68988636374547,60.86195148185974,60.51168152043725,64.94775643269026,64.8690849105145,64.34272610928066,64.10363665639791,60.461274833774226,58.70664740132464,55.82035524564325,55.188750404635236,54.38105847813354,49.58083049209667,48.84319188548416,45.12256355974787,42.78170123297094,42.52159177957171,39.72873078865061,38.16031170253981,38.21036063958685,37.31717701496357,33.52034205913376,33.5065915322213,33.97048290078123,31.74324799595232,28.242184254812038,28.71467728785239,27.894209330349987,24.515231469627004,24.13890963731948,25.609217782099275,28.728030513535092,29.02993112993648,34.75479202949694,34.85654574023115,34.79854708342359,40.03632606107065,40.40370899380434,44.21242933030151,43.76475340276643,45.527334293487066,47.88244602975316,46.56326766114723,51.515167962511,50.2544110742928,46.70294147053667,50.128915565945576,53.782750233301705,50.85487349946779,49.84317824894832,53.76376718680954,53.831246450941585,49.547009401528385,50.84993214397635,46.01779369631294,47.745209948394056,48.955052449234934,45.440657551899996,46.42727669701265,45.66858600559313,44.511281324618466,42.62629156657897,40.40957648365808,39.61221021325188,37.65640072462975,35.75873822200624,33.86626709424381,31.259056865582675,30.20227309250926,32.11224324677129,29.453166900336743,25.57062967781661,28.045874122375167,30.496176420639504,32.491390152760594,36.20558252398601,38.07136079363303,41.6319536418321,38.59197877233749,36.30387004758115,41.439378640551304,41.922052360018036,39.12427097577386,41.09970857623735,45.88662777579056,43.94443894035439,41.08454698670657,45.17209489301107,48.24338577622716,45.667758196599074,43.539766428418666,39.71171301000956,43.00287935824122,39.62606789514631,36.81839848936495,33.92837766972685,33.29462839883014,29.667996813715966,31.81181106369794,34.85963222365428,38.337244861068456,39.87795103130434,39.25680394197249,37.65019661114692,40.35275536403392,37.75002748473116,33.63238600674691,34.6506620669968,32.8300892716389,33.010814588382566,31.45583836534523,28.012192992590183,26.762755094827856,28.664253766762386,24.96078096606247,22.319259347664858,22.066137655017837,23.519233891087982,24.195827906843082,25.030995690150835],[23.000210608885013,26.514279441442888,31.082458480355537,31.91227882642528,37.118922613966305,32.35055712722564,35.719372185473375,36.4532106088119,35.17992212789711,39.17415366270191,39.57562855464864,39.74600809722721,43.70226450691912,42.58919373088929,45.88070625602266,47.75307688490113,48.90512300950021,53.12064478948055,56.89128177751848,59.138018957634,62.7973363811179,66.68734578871099,68.05248932476896,68.1328153501353,64.88587091731999,60.941260500001206,58.660338254330185,54.3456644257276,53.47386000305586,51.3819377882417,52.68608990745354,51.110787885252435,52.60335356356162,57.275529377196726,56.63258098734035,56.84217245649333,55.378850315916814,58.54452222471911,59.16104078582257,64.60100779191002,63.50596308826953,64.06042069148364,68.0621306250737,68.8860345994788,71.53948090582472,71.05575137497286,75.1356459738559,73.42434276011221,68.88416858819443,73.39441474189442,74.7239567554855,71.59896341715972,74.69594666026481,69.16721715349621,73.25163784868694,76.32434301913436,72.77925528253486,70.60816764383758,75.34886560462064,76.46789282824963,71.9941225304238,71.72484602513765,68.61294490189115,71.28174157906847,70.26679804246265,65.93580340150342,63.07121155116091,59.265234478863334,57.1033651477839,53.34217513984078,53.26660079092906,54.6936731008303,55.736666914054226,60.37901460476177,58.65780586168762,64.03099125034039,64.20665965068181,65.33243336272007,65.23054390810088,67.63458391751347,64.94939256080151,65.73795191812616,61.4440980986111,63.03291262234362,61.8994827476458,59.888827830217615,62.0810693153542,60.41639315083382,61.16073803629238,61.664766119511214,59.63759919812199,61.350557979325124,57.22901338478131,54.1375584523194,50.21716816994388,48.728773753586424,45.38382270920882,47.19781759583113,44.359312785670824,42.588089279144725,48.021571347030196,46.2494067245182,50.88174496413947,48.514054058842824,53.0872172231879,48.69346696314781,49.82801549458393,50.28777225781906,46.103733596750224,45.114269514863096,41.61045005168056,44.37065359754329,41.235560352123606,44.40094989322236,44.64587974073148,46.597855360841805,49.81185374349289,51.651785505567645,54.92752127505228,51.77821428973242,49.24227936296628,46.008980564332084,45.44317456742221,43.06530074308086,40.037023337895,42.938301976933445,39.41928332374791,43.8014794107599,45.271089811552855,49.40318742122157,49.65290835333444,52.6750435625002,55.372254266221425,55.054879427060435,53.28359145183253,49.950530695375605,48.4522639560011,48.79813102733177,48.723599373512364,51.237958270586795,54.67141722899621,58.51426464991203,56.30836328912858,53.77564445989303,56.44425902619954,53.49105916448343,50.687694528047736,48.09281811235801,46.50110394616599,42.23670999147796,41.213329575729325,37.93823076168045,39.32849183066911,34.646870097546376,37.89392294509512,41.46224093421001,42.68375266216555,43.91042033824806,46.86056321464243,47.671524811620365,50.49068843094876,53.57517937771971,53.77495420713293,57.73327717591149,58.91448242656516,57.59994047943849,59.001250215261365,61.178680212634085,57.66858074979975,55.09648646079553,54.5035582021226,53.173994926175524,55.75023406024631,55.5296702886519,55.68975428651494,54.71264840041503,53.16314812051897,56.9839564317523,58.83699351239649,58.683112337943385,59.40818665337898,54.233077229413205,59.147569799034066,62.33748048802859,60.77826159292307,64.98105623301623,64.64959894746224,69.0753631121066,68.9784935959706,68.4383842460983,68.15770195071133,64.53980857600159,62.7256042103353,59.80825633622817,59.12512226794841,58.22164682370205,53.42975036296774,52.60966447372574,48.81098690981786,46.56213709790074,46.083057850318106,43.36845028233458,41.937079180913514,41.78432485923789,40.74455555217723,37.13631634160879,37.095275012329154,37.3009777759217,35.02553485483408,31.777324614997823,32.01717439587705,30.95058931772881,27.87110962837958,27.51277199306437,28.495108149129614,31.716915011330055,31.609946221931025,37.455982784366476,37.74427074309282,37.43671773817375,42.565785684631145,42.509569568096104,46.583322480576165,46.30395934054624,48.31373528671599,50.75732394782172,49.69237321754479,54.593101367031416,53.20159384796349,49.919085141843034,53.42539325178134,56.935806696912884,54.05626522185769,53.23684448392816,57.211185738241504,57.11409416914536,52.859534295608945,54.44346447101537,49.541646497920716,51.402312616049485,52.48165918624109,48.84343940075311,49.85611567643994,48.88772038659265,47.96152499067134,46.14844286416563,43.64846442284995,42.914462465201964,41.2130221503633,39.171726249964834,37.07890521206161,34.584075919132566,33.59438024771149,35.11255418137437,32.35651291988377,28.729683102455517,30.956615138475414,33.09562239614708,35.250137777114034,38.98468868747492,41.13451098936534,44.512308358809285,41.278305298659454,39.36568121701644,44.53081119025085,44.77075526419737,42.017576676586124,44.29418612846611,48.858542469935536,46.712378344370016,44.12539519701625,48.356553605819606,51.14787314139315,48.44773670232118,46.490243974117284,42.77852439950054,45.79471347254071,42.44604583253466,39.4979220754622,36.9542661408258,36.52756268239623,33.138272689120484,35.12632465469203,38.257866481514945,41.612172598956185,43.328371622202454,42.733664214629265,41.41184368140067,44.16671401928359,41.718883607715604,37.52816184212563,38.55319789366203,36.60700578074799,36.909510085635034,35.46964389247205,31.877618764532546,30.661364128753,32.75891706892313,29.01143725889292,26.25150948916741,26.031502691085127,27.47273451074918,27.970355753367805,28.621986901314887],[24.07151233256859,27.43429626280085,32.051356541565845,32.064416205390195,37.45038182521941,32.4713533225438,35.54070828917402,36.423479648642086,34.555210566834795,38.20683546109748,38.38670810542955,38.8756297835901,42.81231218917801,41.235144233415845,44.48271872808834,46.62856846917789,47.73609392133062,51.77043087170241,55.350741055882615,57.8841771925551,61.3754704582209,65.43905568311052,66.62459164292198,66.74970433191119,63.67728707271484,59.598550061160495,57.58438648935333,53.261482953252816,52.44239343336104,50.55550803289355,51.39497368021474,50.31537833111432,51.69656150091123,56.235121996155776,55.77069102877438,55.84839354558487,54.7723356736242,57.77343970640098,58.51017371634651,64.19079218153173,62.82642982221241,63.09865636778692,67.18540749266506,68.07186921241467,70.58120968748598,70.17785781769577,74.30018373531097,72.6948241051576,68.31437645005417,72.97452775980832,74.420505534103,71.20718319465638,74.29256631056866,68.73647682931941,72.91406667477278,75.74196371725651,72.05164719115795,69.91258017128804,74.58295434973189,75.56391027843647,70.92272347790839,70.52706805930265,67.37823371463718,69.78810608321871,68.90149430348373,64.69643714802956,61.47386504765489,57.749028167801484,55.29895520900857,51.52211866877334,51.26459589071591,52.41582178940519,53.685067345504265,58.420417914343254,56.98776585089921,62.359867223544946,62.85057274657728,64.08161837511241,64.20330489029863,66.7509551594439,64.35090250067078,65.3568055483132,61.303218243004366,63.04714172887622,61.75644494271881,59.53102659275553,61.41437702991949,59.86541999222634,60.18289719806263,60.66346324397527,58.34519394250002,59.8021346354969,55.688084746892024,52.75868580291626,48.871569866465165,47.15116947903093,43.84622065950962,46.17988631762265,43.59472435865136,42.29380204127339,47.67280738822222,46.472020878310396,50.8902627477427,48.97234151497487,53.72043631134833,49.37924862184256,50.9199558386771,51.40037236474208,47.218884439368935,46.11315977816618,42.339748650093526,44.64116717162707,41.15368920270061,44.06989288880245,43.83945561193333,45.669157005759494,48.66742119529592,50.39266007344487,53.35783858326757,50.29101789068509,47.644266156602846,44.572825085755234,44.11721978590903,42.01846585803738,39.29526503597074,42.60983192033621,39.61476787943584,44.07674837387144,45.88980197441388,50.07080640865648,50.46737419867515,53.73974159085155,56.13493430762632,55.81330209370576,53.732568524937086,50.1332020944503,48.75842701446423,48.64079758322147,48.19284496597107,50.62942483367721,53.726950413647494,57.524001593814425,55.216373595342326,52.90066176386123,55.68551566007489,52.76380032872377,50.007676199697286,47.56734611792237,46.31624466296398,42.00946319954348,41.47427095512947,37.989204987106966,39.822367720205044,35.02880022008102,37.829720388482016,41.487269171962694,42.45351854572477,44.076182956774225,46.634650047790856,47.86687578690069,50.47421654389712,53.2104278421955,53.35303401732852,57.40257615712245,58.711058418634515,57.277961592112725,59.036350866282724,61.19431630695928,57.85369487011325,55.031975960741235,54.61203211880055,53.04790889024164,55.75059586122231,55.59224701815075,55.692352035560795,54.8892173377188,53.014685341391996,57.10549821232949,58.858627019659984,58.9772087602623,59.585319845690826,54.67410090218415,59.70789986745774,62.88320829103031,61.08495600510049,65.04501851590855,64.41401142576359,68.9487360028147,68.59769870666481,68.39266822454736,68.24240486751341,64.67054914582687,63.09305701968207,60.33071331714438,59.88933791908837,59.234213783245195,54.38011130848358,53.889093111599,50.21150848178386,47.94437121822193,47.917681423861744,45.177055186683795,43.393762256734206,43.478973282275284,42.837665769136535,38.94396693912777,38.58006553008819,39.33283876815611,37.38717058129675,33.58143788599891,33.962265836017316,33.37998574412681,30.040558993452507,29.249700780837536,30.731116576990456,33.702886317753936,34.32154362526365,39.64892407579551,40.086004718538945,40.18786688630137,45.45876981080464,45.74525433783136,49.6955806694957,49.447862636289365,51.22246974551931,53.63270522810443,52.29833641006738,57.237588808984405,55.90909846236514,52.25086431100036,55.727009117073,59.34414791782101,56.276468220827226,55.22493151127969,59.10073907036224,59.06158031863418,54.721409918259,55.93283190053242,51.24459423687052,53.083527184221204,54.446301108717854,51.05593878213209,52.082605174077614,51.42579493236409,50.14219355528732,48.22624771932915,46.17413620819191,45.31745152479799,43.23712374228039,41.44175080359911,39.642475112012995,36.9815097839973,35.90627883627179,37.939213665598984,35.29499378109311,31.37061817688525,33.82756312353097,36.29807504629703,38.23691398294848,41.99940385091331,43.843788278774824,47.40711362954793,44.29459468373297,41.91286484615542,47.07260371164527,47.47766676192984,44.57922258533251,46.48730881313824,51.32633684378706,49.20520674316631,46.20355888453245,50.3424228995296,53.407129974173195,50.619880108200654,48.380440557640696,44.41395823626488,47.49060858988655,43.84911748192466,41.31059844721275,38.33159237127718,38.11061898476748,34.40603438058112,36.05500777803481,39.26024358207769,42.691123339462365,44.41228023629076,44.168749249477585,42.43434628798423,45.303158448304266,42.42214833129139,38.575241411937974,39.81507585467519,38.22774150509934,38.18333064072829,36.407007968080045,33.28829591945662,32.02691549798449,33.39340087506659,29.800533235139824,27.554733166814756,27.120609935723692,28.573540872845836,29.307320189818192,30.131109179299006],[18.894250028086926,22.175968457613134,26.9013427942805,26.67465534222544,32.24486370595539,27.63621205592235,30.861247178442646,32.201926913731576,30.480276867961198,34.07658002899566,34.667035691142914,35.478057080708716,38.92409266909024,37.298906418424465,40.94445160497201,43.0162723044859,43.70158631571931,47.878400909175774,51.28092560221274,53.80361444816451,57.27124710195859,61.28716960641711,62.40067559332602,62.32579558467326,59.23268199527264,55.19924915303883,53.17844394733534,48.88829836628588,48.37081390871448,46.70405832792281,48.02390978202236,46.944548987377864,48.73191561504633,53.23635054222145,52.4131798509318,52.18126869116504,51.03919191211373,53.66858518859502,54.172951760899956,59.888785344670275,58.293468703390786,58.780185138462734,62.93195053419216,63.587331676540224,65.99872054891861,65.40177283528317,69.54506984282722,68.10178456575882,63.59057168882523,68.13028901401289,69.75128216403114,66.66428180223389,69.9481521350482,64.41616746034971,68.85069101690533,71.59811345119199,67.83721450354888,65.96388545498311,70.71406689088438,71.44766137091662,66.89718421390646,66.81122401652907,63.846053458822595,66.17361035850055,65.02307918395097,60.843549616034515,57.66091818283301,54.057986621098536,51.53459137259991,47.961877996927676,47.59299439125868,48.98218379607386,50.39052221751517,54.98112401471276,53.63992254267919,59.23787681614196,59.41162920074411,60.92301884855394,60.7768342968013,63.07677402429245,60.70618891740402,61.42074263550954,57.486504658210116,58.979975387568196,57.44781711709182,55.44810793623604,57.439094984739285,56.243418218986335,56.51570923373171,57.46872302076638,55.13646386611322,56.89950954084182,52.82362499668588,49.97041909480366,45.83032387322822,44.42699739581942,40.82124974354508,43.23119670215246,40.51298728562316,39.54601035755277,44.496152279294556,43.15873967785341,47.30710134982591,45.18932803756393,49.70466439337497,45.10742148170464,46.70334033703739,46.88806014589452,42.60246986023875,41.75424061747208,37.77029712494163,40.057221825730814,36.61307128617406,39.34196328580306,39.34517123152884,40.9564390286525,44.14729524861229,45.6558304509707,48.95405282243906,46.10121961119906,43.34209081911118,40.23596730453945,39.402578683659925,37.25618279891946,34.51943130684588,37.620372414688724,34.76737549828772,39.16294902325195,41.001836471413796,45.35692817569672,45.47138817747171,48.89994474433245,51.17426468615128,51.116579329537245,48.75925345697215,45.151078821237405,43.51182387827518,43.446541954948835,42.99530988309087,45.597189140325874,48.628196777064595,52.5570001034019,50.460726218543286,48.11056766307138,51.04408283499411,48.3105539325147,45.435613822551566,43.21275108857929,41.9755997665255,37.79881772358356,37.42151834227307,34.30879141025744,36.549961311178684,32.26226713914266,35.04820286925918,38.35968611871011,38.94448599020536,40.36033882751501,42.80756599796905,43.68589247124673,45.933889724647905,48.85271905793609,48.60606677159269,52.789226301374825,53.82739624100228,52.13250739950533,53.8995948299447,55.903453139619884,52.51251219434305,49.72146552094703,49.41272226279864,47.97123093227841,50.89916471408272,50.96197443721538,51.30589054352275,50.760482950522736,49.0493755520429,53.31260858176144,54.712513938169565,54.82193541411355,55.05842664938623,50.20581912860499,55.07292935186301,58.14082295062926,56.27824106483049,60.33158986245758,59.82397738413461,64.21250238983681,63.6584970910089,63.41174252998668,63.12848046757595,59.668972220413295,57.97952524163876,55.213399646190275,54.80606548471399,54.132155757428656,49.24225630776488,48.89461396530507,45.19576399514464,43.12319638790904,43.23957724528966,40.7093737205661,38.67690471964318,38.6203199106595,38.32260498974117,34.367196665174774,33.53195391834108,34.59173521912647,33.13919709539935,28.84308547632178,29.13555824858491,28.965150359531922,25.612405351505707,24.310716982471817,26.05773303383522,28.79261266629876,30.049158623632774,34.84656651739769,35.41886852767639,35.907324803408045,41.2846754617048,41.995118215396296,45.78634368601352,45.667911831604684,47.225580178064455,49.718611860683374,48.254905312245356,53.145959189855525,51.69877743557167,47.76362965124426,51.320634830490675,54.857609223500305,51.585946150490635,50.46019684401108,54.30184750519846,54.129695869507614,49.72722270717111,50.86651017242405,46.305785584887744,48.39672378613261,49.934817806107084,46.76202421762966,48.05829740961345,47.78713165597144,46.413968239241186,44.127763997778544,42.4486388609291,41.86894443398829,39.393911691544126,37.46426222917936,36.162333494324365,33.528657658061995,31.989400247842255,34.40080879906247,32.13141953128658,27.858929715002585,30.12445719965287,32.95317154218758,34.48868129193749,38.35540480865277,39.965410762669435,43.58005069937056,40.447104414296454,37.61723681973106,42.782996181216795,43.192574058618035,40.13232364080188,41.78041097573612,46.77889508048934,44.60565071318926,41.298010059240134,45.397200508378354,48.600773550831,45.74093239426545,43.31539429221025,39.208337010072455,42.32406812902946,38.56335732266377,36.26115188956707,33.021173672165745,32.928530381097445,29.12581782173373,30.566413023516862,33.80397818248065,37.238026627148685,38.99564934669271,38.9653967717884,37.20580838546742,40.25637709989971,37.35075977634234,33.63638729515185,35.33330441246466,34.02266259381153,34.168782868915606,31.86193550248366,28.833896938049392,28.03469313965822,29.09428534329501,25.06611746360053,23.283603127438102,23.40296500368266,24.951103234658373,26.110354784995682,27.316729902979592],[21.516157664717646,24.92825959708608,29.850376671027327,30.006263531507752,35.74149510759565,31.759210685990315,35.250910869280446,36.81653130760306,35.40161194650429,39.02443259345289,39.82250937536112,40.679075144944825,43.95353049798553,42.35642667619663,46.15579661907483,48.176134739104675,48.67586811887962,52.91523762539169,56.19208425635907,58.72027087681901,62.15488226050062,66.13901950958876,67.18886053056457,66.96277509687542,63.87852344248729,59.88347253028139,57.87566682406171,53.62690693494605,53.297618423088394,51.71329085292769,53.26438877317003,52.11357471275898,54.011538495545274,58.52922160885587,57.58997921047912,57.280048858517695,56.034274243444216,58.52427747374639,58.86359878942055,64.52315876341726,62.83497853165209,63.517900435718545,67.69247384109887,68.17170538544228,70.50323579638014,69.7141081587668,73.86497862839299,72.57004879753426,67.92632623576395,72.29714428134247,74.0494165186487,71.10502656237911,74.52921738998789,69.03387783391504,73.5841920053485,76.35367591578833,72.58813118309659,70.85748430088788,75.6539634121581,76.27940450211918,71.80594841392507,71.8816680540072,68.99795791420584,71.28900996942994,70.0210786427256,65.86335035924563,62.69273240376353,59.16710589724282,56.57615275847417,53.10934374128499,52.64560247630793,54.05004336213444,55.58833059346128,60.134746588306186,58.87451318463355,64.53105797436449,64.60892263865615,66.19668898317545,65.94862268583644,68.13367525593121,65.7150377593301,66.24157140733358,62.278005439671205,63.587728799245184,61.98842626490171,60.20078787741378,62.33078024603416,61.25487788519242,61.602323201918956,62.70677688684524,60.40972615580008,62.250018955417396,58.1887180854023,55.34517764566191,51.16347847168005,49.82896542089475,46.17849834552489,48.54295246551625,45.749428564455904,44.67719384495363,49.58002285413639,47.96125900298991,52.13392407809532,49.70624334152146,53.997994875835545,49.22990208797603,50.533224436888844,50.474805487943556,46.09355605250463,45.57438826768838,41.65140454791833,44.244693959657326,41.03421140471927,43.702044842983334,44.0118841899309,45.442637055541205,48.79154635271295,50.07571511077648,53.61870580035647,50.9607027901898,48.11199646995695,45.0246293060375,43.87347470774676,41.72024228486498,38.97014021770109,41.72442743593253,38.790603510703455,43.04665381179935,44.660289720619375,49.14909058080998,48.81504793943414,52.19339162454691,54.59976927429978,54.84163306590951,52.42445866940109,48.99048721769518,46.904083649203145,47.18020840226926,46.83372475518222,49.668929623218936,52.59487572378347,56.69210547820356,54.85426450562901,52.47936513433773,55.528133903325624,52.95326400276831,49.99082560641644,47.89680802407167,46.55577799392623,42.48535022225649,41.95262831295712,39.1054591426343,41.2132807029234,37.06297949706795,40.07974195418201,43.30191362134335,43.90938931591082,45.07669140277089,47.657822058319745,48.17227692074622,50.29235596399331,53.46503116925685,52.93480021152662,57.19104152213994,57.92624887723149,55.9500985217376,57.58249591469624,59.335160645314936,55.769426839571665,53.182703386906994,52.9804811491616,51.83472250770971,54.95714527040714,55.19388131920402,55.74603262222453,55.26962176557409,53.794008239703984,58.00020416149494,59.281260773377,59.24763588613767,59.303401703249875,54.35235941573754,58.99681594914174,61.96948819003994,60.202127919288344,64.46682715704117,64.19144962242227,68.39807922570951,67.72344330647972,67.30992333805646,66.79331378748807,63.46455790629129,61.4902055345171,58.61159751909257,58.05044698605837,57.08825539259996,52.21094542130269,51.70960420264555,47.794962295878435,46.069541912915625,45.72343710012997,43.518705549942865,41.66586455305325,41.01681745698813,40.58022686669883,37.01974976867371,35.87071901281106,36.481890902884665,35.22129612381639,31.194743522556745,30.91364631381026,30.42760672130098,27.707052342343214,26.20825372458126,27.02069032962867,29.865547028427553,30.615944285351,35.37150080588144,36.39559261599074,36.60034997936864,41.83515137280641,41.96159160481046,46.20739153157071,46.534444467840295,48.4543363946647,51.21089106182942,50.207653658247516,54.95704868024977,53.12985538698949,49.58730385274268,53.38449370309446,56.54771438713437,53.24058818522448,52.502431138580945,56.46910131425355,55.82772871149156,51.447898238622116,53.2043678356538,48.544106791318626,51.11863722166151,52.461263960779846,49.14707920301113,50.717019253081006,50.272686329557104,49.365632808033446,46.935660973861985,44.87771084006301,44.679427412445335,42.46734361224958,40.06957487362758,38.69367517812234,36.31723959715575,34.5520135120628,36.39267352286712,34.1960587607301,30.155369021874193,31.761270572884836,34.23131993170543,35.79983824104617,39.81430488028834,41.866796736899445,45.13095506904919,41.56022310452795,39.200501830887994,44.45146255411804,44.338389897767414,41.25782767394885,43.39635188093566,48.0202500768463,45.37536977758937,42.47205605506451,46.86060115007176,49.54508672834922,46.385791988842996,44.229949840655514,40.31998298888641,42.87602268054818,39.17188178914655,36.64358543241316,34.04801594151147,34.41487026769514,31.133251028790756,32.220111337012135,35.611144858160046,38.757588524381866,40.89957987600534,40.975714664534806,39.91187303251744,43.17006186016207,40.70808932622649,36.82426337757036,38.80406352312583,37.33202184682841,37.96508903009711,35.6026818355999,32.17216100966886,31.76704667858709,33.269519357534,28.792053024601167,26.87253240897557,27.50818260004894,29.06339255652623,30.095920840135495,31.180726727414246],[25.35428470840541,28.6349082552932,33.54660456205136,33.12054956714391,38.95980958875258,34.80134092854329,38.020567715787294,39.616167672702545,37.70855604459119,41.03737743739506,41.56612073729423,42.622574036393544,45.96928946049138,43.97868383533031,47.65044494762868,49.920245553957585,50.455836304048326,54.49325701659898,57.60674410694544,60.4016189621195,63.67426828028044,67.82017651909717,68.70854437226278,68.54033914321012,65.63468148030645,61.51744383455833,59.76588920031002,55.51679092648028,55.19254481685518,53.75146897605762,54.79656269918095,54.074570463121866,55.778516747040584,60.180315184951034,59.478929627906524,59.12327397796773,58.22373703116947,60.64051264840645,61.119649806211164,66.96773070432275,65.08432861917115,65.48824247372016,69.72255837547664,70.28770960256885,72.4939130987982,71.79261444453748,75.9779127210651,74.76606183612154,70.28216040308136,74.78342435366832,76.62178329071943,73.59070378790715,76.97466731106839,71.4586141861453,76.03790205064767,78.61191414666216,74.7373602676504,72.99142295249361,77.70532950976457,78.25032615489526,73.62080458641474,73.52780045658679,70.57794662246091,72.64297091725815,71.54452044921845,67.50641623565025,64.00045357478034,60.539328876886614,57.69060936985309,54.18785233359943,53.56236691850499,54.64102887481006,56.384070962788186,61.03349254976497,60.039036554241356,65.63175640803176,66.06673627565104,67.68591462440374,67.69547164105317,70.05495079733923,67.87552344625637,68.64210770037538,64.85326097824877,66.33828604001025,64.6576055857708,62.657995834702284,64.50544906946753,63.45601811527549,63.44984430288044,64.42971338527875,61.88558207512561,63.420199633885325,59.36824867438945,56.66070981544517,52.58160328451424,50.97088676353298,47.44078717643585,50.228912032155385,47.68563377985321,46.90136331294816,51.86231741708625,50.717978715884186,54.78896825023584,52.75232437740124,57.216392608890025,52.54660702197577,54.125403152804,54.13497309797775,49.77919236119339,49.13627005860556,45.07026573727469,47.318656517654865,43.838258191368446,46.3195016648713,46.19672187058022,47.5363370467712,50.6576301052714,51.84214215063801,55.04738352235979,52.459051337140586,49.52457919937409,46.61262919683534,45.599490219618374,43.72530771355691,41.264613879673895,44.37618214606822,41.86196219371832,46.17094394767661,48.03437499594229,52.52619644916941,52.326484570057794,55.857992027313315,58.05784603661061,58.270869286194255,55.65902440440514,52.03076394092789,50.052226107729105,49.95896445926285,49.29272791330756,52.051453953292096,54.65331131987591,58.69845042856221,56.76614908905023,54.60254317414016,57.73557310278919,55.174616879514694,52.27607685485671,50.28841015613387,49.22777937075394,45.11180882889287,44.92343537586496,41.84305092969318,44.166972622049265,39.80754415535139,42.499696126113044,45.872092098987096,46.37931068527664,47.89455789593823,50.19294064189523,51.10810718138784,53.1210996122516,55.977202574094335,55.45152233630487,59.75984038923517,60.626408213798264,58.56240339515443,60.48761769995824,62.21124361181713,58.78750615907053,56.011368936250165,55.957023727453446,54.62406112686288,57.82712020990885,58.08790323282963,58.55511801940968,58.16897611561891,56.408888296908785,60.783138270342306,62.05776057682004,62.23502784766507,62.265242232920464,57.514360378438056,62.26614641333923,65.2369692139615,63.297701685663604,67.35662913363076,66.824058788972,71.13272225780095,70.25598891117023,70.12733873040773,69.71945491318733,66.43183001463836,64.64699147336427,61.89002074977269,61.505683615490895,60.71590207648457,55.809659846300185,55.52557030887815,51.69402705023218,49.95536469550348,49.87136237527757,47.63277953645432,45.59906736367269,45.10523824375573,44.86825627172338,41.16318255038903,39.85871277267878,40.75965284696893,39.63319022184784,35.375306924357375,35.17067531779715,34.90318945557954,32.06752054077712,30.387754816380436,31.4095061214511,34.10312254782871,35.16001319730545,39.61532668370945,40.77679445412393,41.1458499240401,46.40351341004792,46.56441896065713,50.83109388893639,51.20032359805444,53.05673527782436,55.79832953515088,54.6892850887415,59.46127671775692,57.659956488336526,53.973699221470746,57.749704038859136,60.955678088164554,57.5601557121612,56.718515530295626,60.623831106640885,59.99131890049285,55.572189569004955,57.13494087162616,52.6140948158724,55.16808605131853,56.657765120869875,53.46050895593371,54.993316440496294,54.64911891281693,53.55512685079113,51.142218852995946,49.26537302842344,48.934330806619684,46.59314289563623,44.37390596195663,43.05129512048052,40.57490537517619,38.87592687532564,40.908608428997034,38.677797622540645,34.57448349702801,36.343256670633096,38.88717423957896,40.432680404678905,44.43784701991915,46.385874644765785,49.722210526655175,46.200921860042584,43.69423588475835,48.93277762772104,48.87391419200284,45.738514373681774,47.72262037781378,52.445615599448715,49.77167068350197,46.6973979009021,51.046693487064765,53.82029243717281,50.569564182899015,48.28624688425887,44.25757859016861,46.72986500788577,42.842692950425075,40.59947375972429,37.83513478106733,38.413379037354076,34.99437871686606,35.78222296531263,39.22540321414421,42.363011679843666,44.55169592442591,44.89028883331083,43.59541654067228,46.9175956589708,44.171148242541314,40.52967162508444,42.58231603437197,41.292039260071256,41.65339460838388,39.17752906514032,36.05726245714091,35.5156467770236,36.583981788567094,32.31777206677047,30.66288776220761,31.013286256522438,32.53969464743875,33.608776550892884,34.69397799378087],[24.91699261446237,27.992432377023032,32.75256743137923,31.782070861308693,37.56969583299086,33.12283371021898,36.05527093853456,37.63520271360964,35.33741494888857,38.432879774251056,38.777897216613184,39.99080382359656,43.339062300918975,41.10697475213059,44.69054205997497,47.10139488586368,47.66085279543906,51.56016240885635,54.59977794128219,57.52704391166632,60.70716354722347,64.93923901939272,65.7532259000322,65.66368821476507,62.855538442161226,58.66794257387763,57.06514957866147,52.815766290274134,52.45854954860961,51.10846169041956,51.83862619799954,51.40466692648143,53.0174144216122,57.319588434834436,56.74178004017211,56.33682718124292,55.678693734197786,58.04011368645071,58.634753186894905,64.60322760181917,62.620430290474864,62.80593478711491,67.06497314969428,67.71917004087608,69.87569735969322,69.28942590022828,73.47486998761424,72.26676819357583,67.92845272735123,72.55937822457737,74.40041001936451,71.27937263997829,74.59846974534035,69.06939822711499,73.63977823222555,76.07706275617915,72.14030048311358,70.3713484467053,75.01654628479197,75.52376778882568,70.79366229855925,70.58348348027269,67.60075247316446,69.53445652027237,68.54291793029367,64.57576437354948,60.888650076926666,57.466343579656986,54.50250764045515,50.97674391023493,50.2870008809442,51.21505491861867,53.03014430072764,57.72236187725271,56.857445402247365,62.421178564812394,63.03335176067503,64.68321631045349,64.83414457600637,67.29034458101374,65.28664328269505,66.22413795336169,62.58400045040551,64.19700209689871,62.471324807783326,60.29736070967086,61.928644230164174,60.91020576612097,60.65573985283515,61.58058707677785,58.88429582696387,60.26599777506949,56.23326904433613,53.62377784625412,49.58924001504872,47.85978253696273,44.37584884371926,47.43612462339424,45.064647943145324,44.57641964018332,49.473643567385494,48.7200243713006,52.64010782973538,50.9471568686128,55.56251446892246,50.99353513345888,52.867838029719664,52.97912698236784,48.69211384801768,47.871824526717305,43.687231616059464,45.56949591694345,41.851662643529956,44.20221391138787,43.72206777282394,45.048888378819505,47.98203066142037,49.18119475537927,52.12269962675861,49.5221438569118,46.57000594198372,43.75510939790008,42.915131596761576,41.208437507486465,38.93954071849685,42.363642079691196,40.17425120960135,44.54123865323598,46.65115895717254,51.08689001339901,51.133146166770906,54.78729035186298,56.7781945500692,56.8713233263655,54.14215169137091,50.333771438154606,48.6027934455959,48.14292465199751,47.246674463845906,49.855679411865026,52.30886048751856,56.24559898301507,54.175824373374965,52.14410997668134,55.27974416093541,52.69382121850433,49.865893602263284,47.92969978406093,47.08860009612897,42.94882753473698,43.06850269368363,39.82555147391354,42.40859674430972,37.99660980220983,40.36106310454541,43.769558072847154,44.123593960890055,45.90878089516839,47.9409562915142,49.188609045818794,51.12077409050188,53.69244175954216,53.24030618210403,57.54700189259861,58.58703801453865,56.57820797452817,58.73010822473058,60.53827576664013,57.28436089582686,54.31272783162151,54.30336817415608,52.74410707545109,55.92098492266013,56.147836084393504,56.507424706156435,56.19003312685056,54.19024008129783,58.703932699140005,59.958669833425965,60.32739412180114,60.35951729709294,55.8031830237903,60.67449468050122,63.66131085742055,61.572820784424415,65.41163947345545,64.64477000713909,69.05855403244371,68.1021742560829,68.20626455394955,67.95696706282152,64.65424570477893,63.108005584309346,60.485592186878485,60.28648225126881,59.74349647674095,54.817713495938605,54.75382467046496,51.090018236018345,49.2101733103325,49.52483109200662,47.152950543496054,44.89984355508893,44.75867103643407,44.75451157263651,40.787509392697984,39.48023621343865,40.798620603267,39.736884226570524,35.16812635222791,35.26175299905125,35.324503983018154,32.14655397429838,30.38787448832667,31.992162222148288,34.514746002547845,36.07796323593014,40.31846017386996,41.3367888521496,41.99694481978384,47.36279069521115,47.983674112409,51.94562546244039,52.10820476561433,53.70805956278889,56.31445874440772,54.890301533108804,59.72253785158112,58.11910699113046,54.1069878012877,57.759468216141116,61.15931083108924,57.70837029998156,56.59756775609776,60.3879555969223,59.98087567576013,55.5358623124027,56.656521568208156,52.295290314782186,54.628513456768836,56.322598343692576,53.308957337635576,54.73246967692386,54.60311495622968,53.16303280382643,50.768493164836414,49.253637042378735,48.717186532052175,46.11374995710642,44.19755809886205,43.03574156697916,40.39813716434294,38.765448414147826,41.23077487949966,39.024371612284284,34.730673810518475,36.85101309842424,39.666814015552156,41.109122143482494,45.04960200739967,46.6779952730952,50.23377509507018,46.95866279357895,44.06438071393624,49.242629503770544,49.48293809658291,46.30421692586862,47.91043478627464,52.898338024047895,50.455962574690936,47.03142809934291,51.19614235886973,54.30220062739592,51.16554618372653,48.6487208787402,44.43427591268955,47.17231141201687,43.1427342272663,41.19877043526429,37.975972403431776,38.44424110869137,34.69692261630068,35.466879830567244,38.85018822255243,42.12202020522499,44.13394154487349,44.58860563484771,42.82330204635227,46.090054233107836,42.97985593551279,39.60681815736964,41.62436612237913,40.559559987068354,40.59164282676885,38.009905150971655,35.27065417861974,34.56694472848984,35.15512421742912,31.17199442922156,29.79577626775061,29.852070807724186,31.37064378363325,32.54162907157266,33.7545160420634],[28.887231679411276,31.943356670324558,36.62256538148727,35.50022051485618,41.18828674951396,36.429038860096334,39.118231064681325,40.45709983366808,37.85100112980066,40.80505163647906,40.797772581222986,41.942477241734686,45.54790701543844,43.16405503184258,46.44251560476649,49.00462463329868,49.807144706549906,53.50811230005649,56.55777614068525,59.60466372492131,62.711450983539486,67.03443479624032,67.81049514460746,67.8753044641639,65.1695350178339,60.91294850512581,59.43783997074434,55.18417255790176,54.657709303320765,53.266603322955625,53.48230680685114,53.2752985629413,54.578159583441774,58.81492100989821,58.54356667812608,58.27409419187845,57.83649963664017,60.347267657590145,61.14252421253964,67.17506754363312,65.2292129175782,65.14601733361522,69.38352027211681,70.22117675383312,72.37306296862567,71.95638455827127,76.13999831466448,74.87024609489198,70.70248182831492,75.46853792381411,77.23899842966848,74.00290466303044,77.17485252807904,71.63392271051474,76.06674295711731,78.43393982938682,74.48878654449729,72.56744211188261,77.11387295983195,77.71781301760022,72.86432876215352,72.39934108791219,69.29208473424706,71.15143846751683,70.39193250678393,66.48246738135406,62.6257530236182,59.175876373036054,56.143887524223175,52.50554782011718,51.80846929294576,52.4465260585212,54.26933099835524,59.06156014901488,58.278408061462606,63.66600512084512,64.62785333476363,66.1425169877578,66.56501946424876,69.23543967404625,67.35111962564355,68.56879654418371,64.97495644320516,66.81452740541364,65.17584302231471,62.767771523002594,64.18447865721761,62.99908517856356,62.57913813838517,63.19328429470914,60.38355473280623,61.44578868999576,57.415413914488006,54.853432439382765,51.0198342249012,49.0010240393113,45.75307191362172,48.97745489734128,46.8220837891678,46.34964485945036,51.43996647496157,51.02584287374076,54.995695940053636,53.63374178444898,58.44853387733664,54.084052032551035,56.10342112914734,56.414972009355665,52.20524551718678,51.166013685323065,47.01460747215233,48.70082459678283,44.82380630100064,47.17831779941682,46.34926999415901,47.760760458511896,50.45322032083236,51.742436395913735,54.30440251208059,51.61540658619827,48.71399571146218,46.01552892117961,45.48185788434765,43.93565379001206,41.81685437384146,45.53359448420078,43.478090317728224,47.90029781879583,50.131965427148664,54.45582685805652,54.76592093892221,58.41689631593588,60.348120977799816,60.25578665716678,57.58343799469768,53.67452074239756,52.19564262288055,51.494868509791814,50.44745864936652,52.893644988514794,55.24549698314672,59.04899545629207,56.792850416064944,54.88856192895225,57.95962333007619,55.273037916941014,52.559189106499,50.557767436857134,49.85926061300168,45.645216175508786,45.872594087411535,42.33947607123728,44.847368587014984,40.14448500029203,42.29630295150303,45.91321737642584,46.38132467761535,48.4485858369009,50.366945097395146,52.01126114092613,54.073007615803576,56.3631691157145,56.14568347978834,60.385821182518946,61.66292391147364,59.79413235028458,62.0912555961079,64.0008057048871,60.87028926081891,57.77288752302707,57.7555061193075,56.00841637233252,59.07225750760374,59.17643070843341,59.348766050881295,58.94510053263402,56.705860530730895,61.2144201770165,62.64226539765016,63.13638790214006,63.35788847292538,58.89413999158035,63.91686100447844,66.96378196270425,64.81530594196565,68.47121795664707,67.4868862399572,72.0395320546991,71.10949458583713,71.39542220121487,71.30192414414745,67.9476028971728,66.59194621081396,64.04875526848072,63.93740331344645,63.52574168408102,58.61016816407831,58.5988345988331,55.01700874532511,52.98779507192844,53.42201928531747,50.89056438794822,48.64574113905098,48.725885477047804,48.67190407172686,44.611431075533986,43.50318581983729,44.86672237188406,43.611465437719424,39.12231431846241,39.37064593534982,39.381323437203896,36.06868189018258,34.49586210644903,36.198385320550216,38.766360989868325,40.23795120412654,44.625568563180344,45.56002251338707,46.156953141158404,51.520005258633866,52.05163706358031,56.03573950677684,56.08900418222982,57.700953321287564,60.22402849234756,58.73687767174738,63.62592280785613,62.14939594143592,58.132834525936254,61.69822423629028,65.21776047039903,61.82642706688405,60.639345155025076,64.40722555195347,64.14223562734729,59.69570777747671,60.66476260651783,56.31935431757048,58.44767456034409,60.16011316343103,57.1231245589864,58.36788539709869,58.140188899967626,56.585981864895224,54.38334299138244,52.844478834299224,52.0740575390708,49.54300008044304,47.83423278751968,46.49721105070446,43.771066480045576,42.39398867737269,44.86374419954047,42.480265273712966,38.2706484644154,40.626803299596716,43.379503385219095,44.977670846348545,48.85253208105757,50.470627969543294,54.0924139085161,50.91203266638176,48.07391675330873,53.23810446403794,53.58298140726023,50.452545615864516,52.03579184663769,57.06204311689232,54.70233971404958,51.28103646289872,55.403529820371496,58.57667259276829,55.48238592080168,52.95355607733082,48.720852384341356,51.50478644380572,47.45586550599814,45.542314332600604,42.2668209379537,42.67307567602823,38.83498506625694,39.656540288760745,43.01281877857986,46.328389835262634,48.27303772375592,48.70937901231041,46.74708055470573,49.92097079779765,46.638043649719094,43.334230572080045,45.13248424902126,44.05180404914358,43.807765941058726,41.420269245739746,38.843764676011396,37.825742053691236,38.287760699769116,34.67473959082186,33.24083712537813,32.8744079063277,34.29692041175017,35.329654726730205,36.390643791933925],[24.788240912789217,27.587652108404964,32.07172256389313,30.53976307362582,36.13136519237899,31.270062238759333,33.78136758120572,35.214021778925044,32.449703732561424,35.27184401847824,35.31738769997326,36.63236004744463,40.062833949705436,37.59757139436194,40.97643511058325,43.54521348718143,44.22980678449211,47.94608098273113,50.964763693489736,54.010984217310096,57.11625253064324,61.433086700130964,62.20632873969211,62.25885098214557,59.54074143676557,55.2857864352611,53.81160356100562,49.56195912264442,49.08398968298123,47.778555629812246,48.079394016562105,47.94834427382054,49.3909796286,53.584829264690924,53.19837972888005,52.804682947117996,52.41459651319788,54.79590758937775,55.57088368373813,61.64252314919289,59.62946924616862,59.53506370761178,63.786587698706505,64.60321791021678,66.74496692666166,66.343850205818,70.521116387566,69.2518306490109,65.10989450742045,69.9039055174016,71.68472992670704,68.43544305995309,71.62145742665574,66.08434613845296,70.57731642517096,72.88396278510284,68.90771833591444,67.04632251066525,71.60137001601794,72.13744592027676,67.29117350977644,66.893409808415,63.840520639502834,65.67625574464195,64.84449437869954,60.93922668874586,57.09246207888659,53.66417922463617,50.62418911700943,47.02682281203566,46.31984981571448,47.07036776219193,48.89626907989512,53.6485539639478,52.871404834299405,58.35172570614789,59.199502903894725,60.82221156849334,61.164261983647144,63.768419043254426,61.93927575292038,63.11469968913624,59.62170550060879,61.43399689217663,59.71097268446669,57.29727371979935,58.67170340999675,57.611387208440114,57.1075640613798,57.8833726953636,55.03891781572197,56.214243758424075,52.19801081895243,49.67930254301852,45.739152705458864,43.83815438892815,40.460121781990274,43.78711302915208,41.63674276231427,41.445402740010714,46.30484243761892,46.03081657084061,49.80154758850532,48.5565804367898,53.3567779630544,48.998441708743066,51.21386328360567,51.512147704142414,47.35051784621491,46.2596155763365,42.00117398039229,43.444321732765516,39.46498149651188,41.70822724005068,40.77223428641723,42.157233453748766,44.82215694646096,46.12296607764582,48.689852331075876,45.99970666563575,43.088370195409524,40.379241338203386,39.856777948281646,38.33093404047228,36.272721415579106,40.09710489885886,38.244391369684294,42.66163137193756,45.037586827471614,49.33126034005698,49.758498157444805,53.49615697614378,55.261656709031925,55.1325075619484,52.35906989995375,48.36108352366503,47.02792792157259,46.13025530622915,44.99860873073407,47.36863062073491,49.71692200546574,53.4709991496413,51.1728647634552,49.28411882601219,52.3569930866649,49.687373359458974,46.981190039091935,45.0412674122289,44.44603429741417,40.2713470888928,40.71692989486896,37.23713867241223,40.04023653178579,35.554163032226235,37.49094169453125,40.95850490601583,41.19146509190236,43.31784843436446,45.05091674191369,46.746531690214624,48.667689608081716,50.86274433654599,50.60951097055173,54.85739921766363,56.17315301197696,54.34012640296151,56.72367287344664,58.69167508127592,55.66192440577468,52.46759064053893,52.45320288058633,50.595261864096805,53.647874047149756,53.76659208821963,53.93796413634436,53.63934857316651,51.341681209076555,55.96187671308323,57.26341800562674,57.847413245377176,57.974616745845154,53.640508544795196,58.677315533095104,61.70558219403413,59.47193568633781,63.025621368565666,61.96411541596375,66.5315709028891,65.56855051734352,65.93568465294366,65.91366385532287,62.55489014952557,61.32349082518773,58.864030985404945,58.867971211268696,58.62180325055872,53.71503581617045,53.87576474907619,50.44507282275652,48.34074809877263,49.11802409630489,46.542374375094326,44.08796899698994,44.434130721007975,44.642871928486144,40.38984481927144,39.2182248454774,40.97630864629291,39.89476626183776,35.09260412581312,35.59402531389092,35.98282580171829,32.41501549739588,30.71329530261729,32.979936998309675,35.317317845216685,37.34265006646627,41.42317150154348,42.18289618147587,43.11625896771981,48.555453451194445,49.60622859996407,53.23105335087292,53.11375075560635,54.40364631836856,56.80265783762691,55.0103130789443,59.909999307997005,58.600001018502965,54.25225318026053,57.696167140998256,61.36030114281001,57.9057127723863,56.46912908352917,60.111640205157556,60.04933222233605,55.59606452560472,56.16370725636565,51.984922242111125,53.94674769883251,55.85239309195315,53.03822564853878,54.255162826547085,54.326368790896396,52.47555040768487,50.18771590497208,49.073379722677494,48.236425515219146,45.385086069259515,43.89933774592996,42.87272776051956,40.05876632376481,38.602199605359104,41.527753041629644,39.32385997721825,34.90261818003262,37.46666013511711,40.5333159363669,41.895251573288654,45.69532810413888,46.940108353136836,50.73839268971779,47.814982102598655,44.534393372554604,49.595002727235546,50.2217156105127,47.053153426683686,48.21872307332622,53.4842826315778,51.37660592352053,47.6089110939987,51.511705089703774,55.017170015503055,52.076812580604795,49.323443564687395,44.9493113257972,48.0352532091156,43.92565466666859,42.274362726373646,38.55827950816995,38.79031325340305,34.68472250939974,35.544398101608834,38.78478826852902,42.215812280207544,43.945695754208444,44.442881241700114,42.091689478382264,45.204012055536275,41.67490741775066,38.61354158183571,40.466162805439474,39.655290653619055,39.21509395185993,36.6177647326058,34.408002117258015,33.4184299799246,33.397056482976694,29.946034608992864,28.901561269133314,28.49018399435106,29.926654881051657,31.212965665226086,32.48239249531042],[30.720631512326115,33.39014292636444,37.804514405766895,35.835094087010056,41.40358703915752,36.5852768353902,38.7680839132292,40.21250182773472,37.03011355635741,39.40411195961345,39.135260700913065,40.6557282446957,44.055623874313504,41.17368500556289,44.297451183431285,47.115682084706535,47.813279423658436,51.188256900506026,53.91934093212787,57.26020754994432,60.09876630405227,64.56222416863123,65.10712594838205,65.2321799126103,62.78009757817481,58.43221813894158,57.31545373575549,53.14574325117436,52.701084733828296,51.61032114655412,51.27441941996579,51.69248162927919,52.86607424451181,56.83360447730781,56.75184281767761,56.30016433460481,56.34512227370808,58.58241936044703,59.50566042704895,65.72160138767835,63.48494322146616,63.056513100776854,67.32991956802381,68.23175401972881,70.18337829105523,69.8841968100275,74.05828492227302,72.91864977924449,69.01004472464714,73.90404879916757,75.78270874348514,72.47233521371655,75.58640624225468,70.08541254857113,74.57648753134997,76.61481442294932,72.54246881006911,70.69478620362534,75.098362465521,75.51958034646499,70.52766913919723,69.92670127937542,66.83021015182528,68.34119495176775,67.73414120470106,64.03816153254981,59.80510695468571,56.527900167524194,53.192576016461274,49.62989566262026,48.70931470633742,48.986390656958946,51.07212735140209,55.87528745867657,55.481520339093514,60.791941190576644,62.09665395262406,63.74342536762435,64.41055040579414,67.19520501246903,65.69159898077493,67.13832672089977,63.89962060629179,65.88454560663362,64.08004742990504,61.46017087294548,62.47669801293396,61.475038117489945,60.53693979949423,61.151245584687146,58.03083323589693,58.784269950401935,54.849805150835074,52.56349911349916,48.84286871847321,46.62472188804627,43.49994601542114,47.28656709176288,45.50490192273365,45.65839258670254,50.4742079639343,50.739688184857336,54.32743805628981,53.52119348675355,58.42789005042029,54.21769916246728,56.66657733272618,57.008765219750565,52.912681501879504,51.745643082074615,47.41333116799386,48.50022723603248,44.336527303133515,46.30814861082022,44.91710576947757,46.13715079228813,48.4684486057301,49.59399208332114,51.68868526678618,49.16549114752392,46.20451753946152,43.79986268429831,43.44121031962001,42.306135593669616,40.65648329448983,44.7430785724182,43.3873543274892,47.75151630896019,50.32762181988676,54.576740229710865,55.09064892082427,58.94375538992522,60.48259226661691,60.35476255273521,57.393534476649,53.25568261409954,52.0129245688224,50.75565446430905,49.28630156276092,51.541606183260036,53.44098735319455,57.0805148677359,54.72474037835392,53.13347963313823,56.264987491343376,53.67400593918283,51.09136097835184,49.333760006930945,49.0712223003109,44.949545271790036,45.751589341556034,42.12654621321356,45.0781885507623,40.48873365452282,42.029412549089265,45.57516639261613,45.69076164149625,48.14291890060448,49.529404868012925,51.61789756457632,53.370950727956206,55.179619019320256,54.91000126101039,59.15898326192925,60.58431103924743,58.645053170774524,61.329044521651284,63.21545647532763,60.367201780590335,57.01829450963465,57.18479425233737,55.17027725203195,58.2904455430349,58.452570833727385,58.54280400655458,58.35986072060097,55.78388092994884,60.52891804693497,61.79485115352134,62.60753736551657,62.68595985797827,58.627116167084004,63.702817140074465,66.68869739774219,64.28903211495812,67.58248870089001,66.24505929242586,70.86830446760742,69.65915816941448,70.35311889956753,70.4407090091756,67.17647565114655,66.15270611756485,63.84743789511021,64.032629136664,63.9463163698795,59.05195854101013,59.42545329599993,56.0828675185322,54.02784557622313,54.99757560056193,52.452833890739456,49.87170399806803,50.281750446613174,50.653728444431174,46.36001345490666,45.01332939338284,46.947075709451425,46.01211609971822,41.09732309751906,41.56479790021653,42.07011651072753,38.5389681804397,36.68363737443296,38.925845076173935,41.15417681161046,43.32657434366752,47.14699562257481,48.095352536572996,49.118793292730224,54.552181760959954,55.53963441367094,59.2508972722481,59.2416301856803,60.52621731468373,62.939574651977,61.11199049458824,66.00257384210724,64.6724924561819,60.247191964848604,63.69100311951113,67.3388649928287,63.80059036661085,62.315472975414714,65.8936998971208,65.78130357143925,61.314514313984176,61.755890828777446,57.73729126756631,59.727905718492394,61.74598762295761,59.04400072977704,60.25331012775051,60.394326882107535,58.431585093181184,56.15910119932656,55.16987055329253,54.25858125172575,51.34650355750158,49.9740436552872,48.98110774964915,46.13185548573792,44.72026131730369,47.70080059176526,45.47600826918107,41.070183425264844,43.64924571033032,46.706114314670785,48.06224060224312,51.87264466257487,53.0910831073629,56.896214184568194,53.95719719799242,50.62842587133053,55.67453223359527,56.27558713377179,53.06082169479384,54.154497919669346,59.44247684711407,57.24460989223139,53.38996145472181,57.2760392689133,60.77897056202603,57.721475366804626,54.89877975451118,50.46790706340803,53.37164296145035,49.122348618624784,47.71731596005226,43.973928531182125,44.46754493543256,40.369213670350774,40.890113984695155,44.15535470887587,47.49518844193529,49.30742102445329,50.071297135620064,47.61670181473508,50.781928105667625,47.0729547300065,44.27566523440793,46.208002798382005,45.55509603267521,44.929228031352,42.26872267078441,40.32284101838745,39.29168725656303,38.93608400600338,35.69756158735716,34.89376964155979,34.32371950738993,35.704785122410435,36.97366054247318,38.18190345823784],[32.55147882379063,35.48801093511647,39.946956943265505,38.572863062015344,44.02195475153731,38.81594345917571,41.11646534506683,42.10872719420913,39.10507320469223,41.836096597216674,41.36557434980345,42.40342989693732,46.299271584141906,43.76975539630783,46.606559696891026,49.32192721561353,50.45215064592938,53.87179828614705,56.95613831892111,60.10509969190225,63.12162315464581,67.52691014692593,68.28721730663243,68.58308963833396,65.99816368169562,61.67910334283982,60.34784682536201,56.10937861283711,55.328481327688706,53.87488448374327,53.42796974442445,53.50721352568489,54.40855708668208,58.524600186370726,58.64355086618471,58.557092782051676,58.40479430781122,61.11319635657599,62.18410531593128,68.26186250657496,66.4105234912722,65.96333521970868,70.14222583643246,71.2380344533028,73.40762660447083,73.25280873737377,77.40109004581221,76.01082418227519,72.10088025492232,77.05548651407007,78.68779991639083,75.28396563996105,78.22811102613709,72.68741054836836,76.90080925279744,79.1777249652296,75.24659533831633,73.11198480464137,77.51029969654518,78.2625925118457,73.27095175931666,72.45862710672843,69.20057690817079,70.98466076855833,70.53454212064823,66.70161441888558,62.67900409229416,59.194174497356336,56.14368951961652,52.36611010160776,51.709669367183714,52.01177023230345,53.76444729435487,58.655957123643766,57.93465617003822,63.0650938006504,64.4411458565675,65.76201353551791,66.52532103439175,69.45992095681729,67.73696774708559,69.32509851612643,65.81578547559326,67.95315487150546,66.45041964063759,63.72777114005528,64.84695185780828,63.44139707529747,62.81533554961462,63.0191133475186,60.09148153717154,60.75542672382209,56.75560570024386,54.26703095926625,50.71615007962246,48.365468005484665,45.444918409043325,48.83592717841737,46.98341730449497,46.585453604074004,51.83605736795001,51.90885816852158,55.87346759634759,54.99669201270316,60.06368633241821,56.01149214975418,58.2638113917601,58.86391326039736,54.80781103416095,53.440927941639394,49.34922846328981,50.705061044601344,46.62899455157336,48.9770689535644,47.674700170361575,49.22732431528258,51.57244774113636,53.03492591768411,55.07073735310152,52.230810804693434,49.448579246717784,46.89964767386276,46.826809327131194,45.47353760845916,43.54974371609101,47.64173237793618,45.77819750549491,50.25383963719066,52.66671438196402,56.787810871855086,57.521363880380626,61.15726322440176,62.9712308113474,62.578722337251975,60.011591151226035,55.97057524803308,54.9215656253953,53.867102227897014,52.64059208454935,54.80478077385878,57.07428854468232,60.64160206336475,58.106192504527115,56.36049747216102,59.289870535549284,56.45850456844332,53.92590986617458,51.82775300332316,51.32896403575419,47.05021766430165,47.44929870262886,43.56706235484013,46.01368507142286,41.02354581550568,42.814432807263096,46.63570148759824,47.205906180053006,49.644555854445706,51.36359474262486,53.54860921563272,55.77232466027829,57.64647004919349,57.78862438238842,61.89376753327459,63.526133776768575,61.92659198831065,64.40324207272955,66.50309901407307,63.58095322372792,60.302662618312965,60.23373393168692,58.20055908845352,61.04780601821805,60.956345426504896,60.850587796200514,60.331386368689614,57.76762684510357,62.25087325991178,63.899763197115625,64.57872776031303,65.06887183001191,60.77206936445695,65.99653765658228,69.1225132230847,66.89170680377865,70.25506879716491,68.9619134264075,73.70120173429615,72.85766537342656,73.39135241457852,73.55046060220131,70.10586473839757,69.06382116893937,66.65868185118646,66.69052839117882,66.51744371540585,61.63416792923194,61.72420350076803,58.323122943129626,56.03760746063298,56.74250219743579,53.9619204170758,51.68782642128694,52.1824040628251,52.12110067184999,47.87977336794634,47.079899085664145,48.612297799232906,47.11741271532105,42.672114971689766,43.23714284502615,43.2881351201688,39.70000677889591,38.37529110524755,40.417165792981514,42.97991293395907,44.50148329443534,49.03270726277408,49.73624581127794,50.354862823704906,55.74050261468425,56.388547981889474,60.220991446441076,60.01158774149154,61.507046396904435,63.8475285612183,62.147762282265404,67.11581587101324,65.90571213578038,61.769654896033984,65.15071035989266,68.904473291638,65.60126900951452,64.21007017469906,67.88898655029995,67.93667793288468,63.50748893136679,64.10934518964896,59.833489467019675,61.57539640442392,63.35988843882351,60.36463982509036,61.327445163500144,61.06482093491947,59.24410519598812,57.30122231284334,55.880589387271705,54.754094018093724,52.231421870566166,50.900139673132415,49.428278371300735,46.56241645349704,45.52298446885795,48.15168983854377,45.59993216312252,41.45149698969713,44.2020643908051,46.982097210639246,48.70500884379498,52.44401952724666,53.89764870730913,57.6765095630336,54.75015208152924,51.832755462158836,56.92387330266436,57.54316215981576,54.481733644027344,55.87761889327293,61.03995652030266,58.93387287840618,55.39746803807931,59.363806233460664,62.762999828002094,59.83068158878937,57.211124599154395,52.91744470639175,55.9261989676554,51.86390062289904,50.04007822245397,46.53334518545386,46.723634024676976,42.67192975986962,43.65597037890907,46.90958759397794,50.34025062274451,52.07911866524443,52.45003519801128,50.08553857559212,53.06437328629919,49.49358790315624,46.35230759223232,47.81394401416618,46.78281548867666,46.10874750022216,43.97558759853368,41.722139710533405,40.296456914344695,40.48444507846845,37.44556735018284,36.022626625537555,35.0974784715023,36.41899344405941,37.33436103555611,38.24707513538725],[28.83842608305492,31.785071744020946,36.116866270955896,35.0051188077888,40.266732688561305,34.803887167656086,37.13252955018661,37.88971923343626,35.043109785759526,38.023462849807416,37.56159997196846,38.349056243206725,42.42492275129968,40.19270737394231,42.99754344463345,45.57015446666331,46.86622927770513,50.42290637934018,53.771555939003434,56.70776679734088,59.90527613700847,64.2152413392819,65.16811803171966,65.52269064430516,62.77052090842247,58.511116547107356,56.9438629449276,52.657649885399465,51.71131389393663,50.038802657273074,49.800373684320476,49.54738994059606,50.47534783287747,54.724653936658996,54.774072541362926,54.83201358937188,54.44939690440613,57.380743205490504,58.46792572141985,64.42945634386851,62.82771640038912,62.479592383205905,66.59913317098726,67.75574076962504,70.09821772397267,69.99614221480769,74.12247958010597,72.55337922313309,68.58417514327634,73.54170759393443,75.01081896000615,71.5795004760366,74.45984084164037,68.89877705519214,72.99556222152954,75.45100705401303,71.61672415287983,69.36480004256549,73.81438428004115,74.73910529871728,69.81510275241418,69.0079644796688,65.71481900317148,67.7468843443804,67.25201489695337,63.27765469873153,59.51801101384117,55.88725477390308,53.09339755361888,49.22055912373599,48.77405649117918,49.32047124714912,50.80756476692683,55.69669903111409,54.668358997921494,59.81363132865615,60.99382247698339,62.19918030779977,62.84485520058551,65.74950920315067,63.82754814817721,65.36915532881996,61.68969406235758,63.833167748076086,62.47210077028801,59.76641979514832,61.039526208485725,59.47184538292975,59.118592701129636,59.2575568702691,56.51366166741313,57.352081820453414,53.296348681471855,50.641322509277614,47.043240287227334,44.80240586468061,41.83177352134932,44.902197684555176,42.889262165516506,42.23107816676049,47.596765354913295,47.462376229536495,51.5743601516179,50.58338651050659,55.682975382346605,51.690046529597176,53.86494507253011,54.591981143493726,50.585577009420085,49.09856122933035,45.127645379065434,46.595672329226154,42.59097659741631,45.15957492735463,43.99134476135278,45.76216643058245,48.19074594853143,49.89908257471412,52.050063450150006,48.989547115758356,46.32786142181995,43.60675390289713,43.65561295187446,42.07876357682145,39.92404148148992,43.97435289874606,41.802558518155486,46.32304499161951,48.65215073606294,52.67241848080892,53.57330026928234,57.083785961709935,59.016886812104666,58.45314381183323,56.11991615547568,52.14464330493733,51.27534617850358,50.33328800042563,49.30712835139933,51.39789942644182,54.003549907925844,57.52395254765379,54.892816556127926,52.98111315933731,55.76705932030672,52.7954116712343,50.26600504209767,47.96090012450737,47.28587556837756,42.943624488714434,43.12486760534444,39.18332084232464,41.45361193115574,36.40403718321595,38.336535498706375,42.19287671260846,42.92159462404355,45.275482438957326,47.18100707360695,49.31762477843258,51.77156892859515,53.743426853740495,54.10115734243673,58.114596361103914,59.84321290176307,58.49637168847862,60.801505655200636,63.07246784125675,60.12378876942392,56.89195538190655,56.635350420914705,54.58408597460378,57.235078690370464,56.99583240152994,56.80655002042654,56.12594909732032,53.633581563979305,57.987475248941024,59.77870735835278,60.35806608481646,61.03436411240459,56.60529266647996,61.89264603848816,65.08938212386971,62.96183440375468,66.38049058877,65.16124216090576,69.94372388897257,69.36174500942289,69.74611142801119,69.94868387809422,66.38418368654348,65.3399842149516,62.88753359482686,62.84464653803407,62.67219759579655,57.817477398187116,57.78708691736085,54.43198923161836,51.96341873326771,52.66232443173741,49.722463715625985,47.54895151265099,48.234088052935576,48.03149436941795,43.738303008448035,43.28355960576648,44.75624647181186,42.999676185191205,38.7078474911008,39.49391320759483,39.4680349972647,35.70357623086421,34.68904012093347,36.93863197382096,39.573436923626254,40.988873036479845,45.80123334136319,46.19260771601588,46.75047950002985,52.13398482208712,52.91261826889921,56.56426824199953,56.10947784448214,57.51985901263261,59.732150264959074,57.929524204217415,62.9421399070037,61.90860455356827,57.767444153725016,61.02807241499542,64.92614606588307,61.748826860729515,60.277878834657486,63.94368301628818,64.22096146313595,59.829500097181125,60.31222978139077,55.96272790349999,57.4457078852403,59.17465351393983,56.124430762140356,56.930482194265174,56.601366659072056,54.71789321438168,52.91012553580925,51.4678751232342,50.20440052130313,47.73707301675998,46.538100594129766,44.97195524518913,42.06021357236762,41.185447187472484,43.8608760250737,41.23912368481034,37.12633313556527,40.092882241767214,42.89557089960701,44.68412536297281,48.32012300195675,49.680414655585466,53.53907853060629,50.79405334092595,47.86686121741104,52.903099497456346,53.71263585565098,50.74219130416815,52.0703495320164,57.28026602353574,55.4161946802461,51.89254493002034,55.75518365179037,59.2835098314963,56.56324742168333,53.95838435013811,49.702182306434665,52.98990130956221,49.063364612139395,47.100475823212705,43.49529056994861,43.32467682913427,39.17316923632678,40.544063973512394,43.682044689515514,47.23439687941054,48.7639360534083,48.861640665574605,46.3589381695639,49.15537254144731,45.59402329707003,42.33853902251152,43.51920467019367,42.38820111434969,41.62054357751082,39.70800580613515,37.43734448226095,35.81126458463136,36.12478599060588,33.27827333472813,31.670072214325103,30.544459217465874,31.838171154906824,32.69841440528136,33.57724351089506],[30.032519651999127,32.58138282678886,36.60722354577935,34.730507562908564,39.80460351749729,34.25456855498639,36.06428345610425,36.86890707006551,33.47029728361361,35.900757911766185,35.15439756493926,36.26547085063226,40.17800458945808,37.50829794629372,40.1262147319939,42.93258454315595,44.176944773523445,47.42899013798008,50.531115232773494,53.70921891399205,56.6837514597539,61.1132041879612,61.886250215860066,62.320155993872625,59.78147801281188,55.44762227812926,54.18048704694437,49.96729450292328,49.051191474924785,47.625865036268145,46.85706008476315,47.16959966401132,47.96165426831358,51.96793919353195,52.2026256206014,52.11582944779073,52.17350252066,54.88667537196577,56.111976521234425,62.22537509351602,60.39847042499035,59.72293798899338,63.86121967199503,65.10357816909051,67.2921935298332,67.32482248801576,71.43684819570011,69.94792186474147,66.2257250509894,71.30876646540634,72.83993149341528,69.33033570904284,72.13262490737775,66.60812869317724,70.72839282787707,72.90018660546721,68.96428257928714,66.75251071497433,71.06975760363298,71.85890863601988,66.80920161097212,65.8589261156664,62.56162112284437,64.3065529048627,63.9628810234529,60.165491384504136,56.090200846627475,52.590124823885546,49.55636470992646,45.72369186550092,45.1122094452744,45.34645171177629,47.02150510441878,51.9333577331716,51.21562209156589,56.282421310344816,57.77461695332502,59.080113420657106,59.95208537250854,62.97123839186814,61.38717259971016,63.15337532801327,59.79416748449018,62.084153246239595,60.594475800389276,57.677885414283296,58.58113501426365,57.1565144777072,56.34049819535711,56.45443318604219,53.434789884620116,53.99187034431771,50.01471395361422,47.59816416947362,44.10877846254985,41.672852244366794,38.82714589345599,42.409605619050836,40.753480402553954,40.6932670155066,45.791852775216135,46.317062543411936,50.06186004965631,49.61596898747577,54.801609289767676,50.98604614872532,53.57088795759852,54.348949770685635,50.47384324472206,48.84315168968224,44.73022773153753,45.616472254923984,41.3483749552308,43.578702105462106,41.869911156028046,43.50772821836595,45.58327648696148,47.19971350781631,48.89570883166352,45.93194873296773,43.25136980094315,40.785179432427775,41.06325442991811,39.84604337163158,38.11214885118241,42.52005993566818,40.98039286459929,45.43834215492452,48.083079107332765,51.99678258232646,53.133475923285395,56.807338958383056,58.37725367362141,57.74315341464665,55.17990813442884,51.00169458968174,50.41136189035771,48.94875615318972,47.55672724139527,49.42952575859869,51.671884308149075,55.003417882498645,52.245801267376194,50.60742403574292,53.41049616087194,50.497444577235946,48.107230897878544,45.99638698960447,45.722805393723704,41.46897336748796,42.18762101872849,38.15177944060692,40.83785504759108,35.92528313005509,37.22978171999146,41.007141762963435,41.40326705972253,44.13261755680813,45.52887027679177,48.10737370719141,50.299805836514146,51.80390170893929,52.168279464444204,56.16104546102418,58.06384092459117,56.71566443339915,59.35781018580108,61.64555227828791,58.971506017013404,55.51021888129715,55.38826192813849,53.070548475635135,55.72302029088591,55.50491144794254,55.211574083069245,54.715489743912556,51.90001123126954,56.45835757345388,58.1186725145352,58.99533516259933,59.571638977358724,55.524448991258396,60.870510820993374,64.01767451641581,61.66886838739791,64.73521562900561,63.18156549232525,68.04295620949337,67.2540143240386,68.0038157297471,68.39608938609157,64.89556187667333,64.17833907256657,61.950938047880086,62.18179649636012,62.32764381778643,57.50955432117506,57.825891980624625,54.719423046943895,52.20098830373757,53.41426599900947,50.44590722903943,47.970288399953695,49.003370396623886,49.190022269648665,44.68315395483783,44.05423757346416,46.05557644600049,44.58339498349353,39.92447028801903,40.943674785969286,41.379676573944806,37.412975159719345,36.17068196459992,38.936189682554534,41.249984905907574,43.303747656453766,47.59925153732984,47.95942392388665,48.91109337426639,54.344642961264086,55.582270320321214,58.93408491139517,58.38772990183991,59.46991320883558,61.55440458075559,59.41799190467899,64.42049138987763,63.55615163605638,59.03489365227815,62.15012072948277,66.1820393097267,62.8946896623249,61.13014348346115,64.60823581117386,65.06718673259229,60.66995302256703,60.62880263140945,56.58772394297046,57.88872020079194,59.8990981797328,57.17398271823135,57.92093030474249,57.94606168805424,55.66121888733225,53.80869529727474,52.90827773730384,51.49999121926525,48.67115626053733,47.82286921709752,46.59718520503463,43.579514401660205,42.686736355537576,45.85107431277135,43.40463210928271,39.124631678279,42.300750816071144,45.38656331728894,46.931778104229984,50.4784041162936,51.435756290236625,55.46510519998025,52.98177173344224,49.59283583600771,54.490349639513326,55.56665041949604,52.53748347897377,53.386580958931155,58.83815059381333,57.16712912957532,53.246979509887026,56.86160211636252,60.714121582048435,58.06769637151945,55.19673410161549,50.76979325255115,54.210720295882076,50.130877060112375,48.61861437924923,44.57763584375745,44.42888532922893,40.03499722046804,41.184430787340375,44.203868761186136,47.789302982580615,49.14842006629663,49.50378438695231,46.51409000461145,49.25888601544651,45.29530447732343,42.52708457391498,43.784693243576534,43.06682998567894,41.91131674587266,39.770874899082585,38.13615548897335,36.47595102694291,35.98538257535632,33.57374760324875,32.56718566927919,31.22345746594849,32.44423939626078,33.534479815010954,34.55427066737186],[34.51024216001754,37.18760353573404,41.29002516307573,39.5515303774578,44.63640641435431,39.02863516588948,40.822938370924824,41.4742580377048,38.0485663116318,40.44810237527018,39.51093412997322,40.48451437159458,44.56756714195603,41.89154289586004,44.25705704110466,47.10770047119947,48.53123125578997,51.62942591871354,54.72262868607469,57.94474858358137,60.85183970545086,65.30854021135268,66.05474204059598,66.58895093776911,64.13242638868591,59.78280723740425,58.6019372502556,54.414961633828426,53.38773376913843,51.910314508295215,50.805166684891205,51.213610146047166,51.741076181635144,55.68304433480303,56.16371544004608,56.22064878697542,56.38504259526746,59.23007677995845,60.57267188113354,66.66984818025217,64.90643615988054,64.08231220975934,68.17960170001697,69.53239297025894,71.71412313947121,71.84127752911783,75.93211971967624,74.4136318841444,70.79685997317684,75.93146570511534,77.41084761569785,73.84717596374786,76.54615126035604,71.03202774261581,75.02205468618028,77.17310012957833,73.26330881607838,70.93965611760107,75.16885501417309,76.04677276404072,70.94221140602104,69.80057893854062,66.42051074411948,68.11713068300614,67.96049670539169,64.22254374577376,60.06391021893969,56.56920676042176,53.53018174636629,49.6487817971372,49.04579871787327,49.041308414197935,50.69616142263444,55.640740540502506,54.97828880004602,59.84006220155513,61.597180490586005,62.751335087067524,63.83091943163651,66.99639417579229,65.47046878726613,67.41789597667952,64.05647835460397,66.47825027931461,65.09034994796687,62.05758973430226,62.84665150734885,61.27043528017628,60.40179293696359,60.24085485931156,57.193843082854436,57.48386716192872,53.54455600872149,51.165225188992345,47.9000045584703,45.260791174404766,42.67023906983901,46.24655673370684,44.73840860818417,44.5474238685946,49.8120922583885,50.45550972731215,54.29239826017308,53.974840311942096,59.253777800931616,55.555343073368626,58.10752326808609,58.991188722746806,55.143521339971606,53.43618631116526,49.407177126824756,50.31402950114839,46.04434344249903,48.31562111808319,46.499648152098594,48.17740010007548,50.12543684165332,51.770515032540196,53.24187505783004,50.257532157050825,47.6341048495249,45.262276091064145,45.68628167017973,44.550280172719255,42.87263991992042,47.332510936992506,45.76219950343582,50.233251104858375,52.858862329521,56.72254364509049,57.92770918651717,61.55316093605549,63.16968938574849,62.45879635316281,59.98021887246739,55.80605634228328,55.26640936666138,53.78936405269016,52.36883644810549,54.188974883370065,56.36674321061228,59.63740571038095,56.81272618587088,55.245800300638976,57.9962981508006,55.04017575036849,52.72347934925435,50.564843995490676,50.3169576673834,46.03866114202991,46.6972117208558,42.52906046249412,45.0060373103698,39.88305629766841,41.17187640882523,45.089580713110216,45.65915354463039,48.48206764140939,49.89668536095242,52.64205767549221,54.95568976670679,56.34763913625434,56.85220018387083,60.78469490862855,62.78901829963109,61.502152560622356,64.17214577214995,66.48079391290922,63.82815973483948,60.35556062693663,60.22868770742537,57.87681701845093,60.46724653767444,60.17845012295411,59.78531487822987,59.19347705445128,56.289950066882405,60.76202490874196,62.57277423769124,63.47451472331375,64.1988551517385,60.15688787106687,65.55797743461495,68.73676775612873,66.40277986402778,69.4059177691234,67.77250576095862,72.68684545497949,71.93094990518712,72.74304392311812,73.18824364370933,69.66842827220013,69.00002942200442,66.78057689598832,67.00308432804289,67.14069126644276,62.32515074123476,62.58466371195093,59.44903692435469,56.8947913567297,58.00221803742444,54.979964869866926,52.61092151535862,53.61655718025476,53.655233391011706,49.197228566190425,48.68078604215008,50.516947756658055,48.87733375340047,44.39330890312829,45.352651971130356,45.5908904299036,41.681798067441,40.55725822425074,43.10686588380817,45.55610798316618,47.32878741116817,51.84340142390156,52.25082147373041,53.023627484954126,58.435918520875035,59.41617963155342,62.93538511122786,62.40421032837312,63.639900877693826,65.7392402644423,63.7074405447763,68.73350772361916,67.85838721595594,63.4836921490604,66.61614711937871,70.64476194078715,67.41503088496353,65.72570486805239,69.24646335081295,69.68743354386412,65.29543493691006,65.36382393986514,61.25126116516207,62.52844550314743,64.45550803886172,61.61512438438114,62.284212227253526,62.12094850692795,59.918251634718665,58.20677250154137,57.09604549292349,55.60428340003931,52.97094665358636,52.11418530440385,50.660242682047695,47.649233450033385,46.90911812158924,49.85810931289067,47.24878507147735,43.10955284526636,46.28636011381023,49.20259478922594,50.92830157826577,54.48334093342284,55.60917034546859,59.592002806865835,57.03342231567525,53.86964086214841,58.81450198975347,59.813348367669256,56.81865553381423,57.8526963168612,63.21831326833441,61.47380038329208,57.70188533945596,61.40618530402357,65.1447670287437,62.44525081717036,59.66338625045702,55.27883119316326,58.61435470825134,54.538382291356896,52.911714674877416,49.035666672889256,48.945125736500536,44.62698654098503,45.77839649190255,48.85565270205332,52.41424797689606,53.85144563261873,54.17263495519934,51.280976386172796,54.01332871194302,50.09500961771343,47.24399846290832,48.37642309532541,47.517498802577,46.34494880779141,44.40565071378873,42.650364321879536,40.858312991267,40.57266864552815,38.221510308943195,36.991146675753654,35.5226575293158,36.710433302174714,37.597982095065646,38.43093713193486],[33.31288540529206,36.30674214533906,40.5527778435857,39.60056266278299,44.69614707809085,38.986161399024034,41.17028991199556,41.57669292122453,38.653365568368066,41.61630191707187,40.831699060506935,41.34977868590083,45.74573519972596,43.5864534232891,46.00082767027257,48.600038485318855,50.234827270803486,53.61749605720916,57.0804614272608,59.997185738163566,63.182051721324115,67.5010153838091,68.50912691442359,69.05113881987668,66.33801090464551,62.07061848116989,60.52635873319221,56.2507017105854,55.05408045888924,53.219912199720376,52.55064952701399,52.328597547416265,52.887111231769154,57.09680823541691,57.470662163713,57.7883470725584,57.49027125908962,60.70327490181345,61.99007153771413,67.89275019789362,66.48971974415639,65.93964359924638,69.97517833571992,71.33817919396802,73.75486313034956,73.83813668173964,77.92545673500487,76.21578669727513,72.39396700948515,77.45160885604615,78.75946319333796,75.21956005327455,77.90607261210329,72.34954453640786,76.20021019925257,78.69157107409137,74.93409515488162,72.46011099098948,76.8035818361001,77.93596872436996,72.9516507869857,71.86221385312828,68.4289096885587,70.50636211947976,70.26020140686016,66.30177222716904,62.53051056617219,58.83053051946002,56.136626519778325,52.13427338238291,51.797657800393594,52.12382358438914,53.4569985466662,58.40973124153705,57.31636399275267,62.19403873751527,63.66266124446401,64.60994621153219,65.50267718296881,68.61282614169704,66.70365010991102,68.50638386851888,64.77318629045342,67.13083337676636,65.97453895625044,63.076519392275856,64.22189230746899,62.37014127313805,62.029076173872255,61.749238858677295,59.03036019434519,59.57147810196859,55.53477607394328,52.861441375449886,49.54790850789661,47.05755373700797,44.414701615181656,47.38595454228883,45.54250156357783,44.66513601379748,50.280385867143146,50.316169686546466,54.57498484068574,53.803428354400104,59.06567371119672,55.31876234627198,57.482813472213834,58.4492277854564,54.54964027836516,52.850439522843686,49.0509390615471,50.48184801439791,46.461032496189105,49.14605699973111,47.78997833694544,49.72563467131285,51.96195616179888,53.84625084871111,55.68128210672121,52.46430935817486,49.94161466143256,47.285082729443424,47.65641225627287,46.12888916759785,44.003659975599334,48.187337152879174,45.932963130146014,50.479422778367834,52.79879523978346,56.655795044893694,57.80754217802964,61.19997411747468,63.195108920301294,62.40164249628524,60.28794261603684,56.318005179530665,55.69362696822148,54.685870960114244,53.663109783576225,55.59111698546785,58.24452325282791,61.61720655492502,58.807549218291264,56.94264912481654,59.5767237469652,56.46541914668772,54.06346571436628,51.60235357964515,50.93939493828405,46.54178789100389,46.62536079959104,42.44185478425878,44.39918448569779,39.05638950745086,40.90638089864442,44.9639557304981,45.96185202528455,48.475440051614136,50.413826883875224,52.84721051303577,55.55855863228835,57.339403397689594,58.02679198667735,61.899900443452594,63.86473762763588,62.75932190036763,65.06517394218119,67.47592787453884,64.5961009020786,61.32987420741751,60.97782461817028,58.81150424698638,61.255071140126255,60.82963054014466,60.42853965162794,59.55023399749478,56.9146103412745,61.10886957369268,63.174754121140964,63.7843101576044,64.7640565932051,60.3365935714022,65.75012816951184,69.0251565090396,66.93912717641523,70.2364666680616,68.88885520869583,73.79003997888046,73.3784080880768,73.82361583762139,74.1626103457047,70.50781383266464,69.59393481857802,67.16964722920032,67.12275686539243,67.00287839569418,62.18465139002501,62.07144441101402,58.765233985252515,56.12801801639569,56.7820345510718,53.67052507418423,51.65383471333332,52.49573967633784,52.08136413323055,47.801170603222225,47.68566859952693,48.99961891160231,46.914526888968524,42.918770700785814,43.80751478414061,43.55809611707841,39.75606265337172,39.061163123422176,41.23006049026761,44.00156928525127,45.08031883411608,50.22665211525611,50.48281733088736,50.827082543232684,56.15332176801315,56.726586101528355,60.426912164196786,59.823407434944144,61.32854350890906,63.44402425533571,61.66940266920451,66.72226480715486,65.82306532218382,61.82861970227073,64.99441201801424,68.99005583391578,65.96496933014859,64.4964442629793,68.16678856480412,68.59842787608149,64.24711922718895,64.70333533698704,60.282003646092924,61.527317849686746,63.155359881165836,59.98409552643022,60.56217858285366,59.99276431281734,58.11215076431983,56.590926988336726,54.95349965983428,53.45585033617347,51.240802333278616,50.19977365528935,48.32709233691164,45.391837099522384,44.850211862844795,47.33210983627473,44.487308928342735,40.606756343004236,43.733988844593085,46.33826661600598,48.363399052493456,51.897786262989115,53.34889311089023,57.20365861926923,54.537468966172455,51.85088150023659,56.861049519377254,57.73094312035438,54.87207074591782,56.31331689149139,61.45662683531399,59.686257350193486,56.31715810226539,60.17358371745113,63.67163188655648,61.03530918673135,58.5224328989188,54.33306402514952,57.659942608265816,53.80811731118877,51.707468889541715,48.19924789087013,47.89523103991602,43.75861314645894,45.30800532378173,48.411571963306855,51.99390108428921,53.45977097370232,53.39634184650711,50.84388821028813,53.48811317884137,49.91440436804558,46.59778140556913,47.436962755402256,46.14508423580375,45.20127574802911,43.67055221805731,41.390880724342075,39.44769068270885,39.922731983581315,37.41957788122165,35.55140475312519,34.05982660904739,35.25403046644534,35.843679970434124,36.46433185316529],[30.247556453157717,33.00840933638226,36.90159322243276,35.84733522602167,40.58081652511514,34.54884138458422,36.456718791265736,36.57866980556552,33.543106789812136,36.488699834731044,35.53248645078199,35.89726219546714,40.43691938293216,38.406486579336246,40.63817261564502,43.19156137399421,45.014172729853776,48.3675942645419,51.99553208211467,54.79138164992822,58.05281785768742,62.319090236650226,63.44595733423254,64.0981547897435,61.32275713559545,57.094574086058536,55.45232709521919,51.175808606527475,49.79539834350747,47.83727068767187,47.09298164197403,46.793859602883416,47.28476886694538,51.51337574588203,51.92625591349189,52.346851423084566,52.029470733905086,55.39066150830876,56.777099651534066,62.61709279840226,61.384452407769565,60.761151126653175,64.72873806697837,66.21080443684897,68.73208788862576,68.95017562000275,72.99522462631488,71.13242082714666,67.38998077692594,72.51136341574819,73.66550895853285,70.05655323556685,72.61948813560649,67.06874438046358,70.78841336806272,73.3251106517516,69.62743382412208,67.03856914910791,71.36036759356983,72.61926447992252,67.64397723781993,66.47509178183178,62.99847774423037,65.1983785713542,64.99400660129034,60.97929545173006,57.34282945847575,53.551706047343295,51.03353973484204,46.94895753663871,46.774320507320176,47.20096798871108,48.3144326023703,53.26543027304444,51.98749248799013,56.820904352851805,58.24393310275811,59.10107887215853,59.993443417419094,63.13790907013337,61.18717933079874,63.06998300128423,59.32002432120765,61.771903616531205,60.716804124250224,57.718401415849215,58.82886739994462,56.85724220226218,56.578163689585985,56.19028664052497,53.53582117695547,54.10971301421229,50.055402509249724,47.318071541917604,44.028375287491514,41.54740508316346,38.941800146206724,41.79767123168804,39.97419607501765,39.09670891592743,44.72682969833766,44.90168703464087,49.13541780496685,48.550652742001695,53.902565565189896,50.34113317842736,52.64249665026388,53.78979255244407,50.03333559075819,48.111426398734814,44.38785355252841,45.62097868023255,41.55068085092704,44.302981275691465,42.80209637612288,44.918187093094396,47.03836197937062,49.152115529680444,50.84836727026833,47.44010650149276,45.06503599959287,42.36646652973354,43.01834114915811,41.440033705729306,39.29077856787436,43.6029047093289,41.34480634941774,45.890890578510586,48.278893085034014,51.943344088000565,53.42033598354609,56.74854415999091,58.673426940942804,57.64436791138634,55.67915831533337,51.68625032232891,51.42555070659056,50.26490386907685,49.27426235394561,50.986322082112295,53.809082590915644,57.013060138660094,54.03138971768999,52.13533432793788,54.60014448135209,51.36547628530757,49.0577329645557,46.462947282428836,45.818336893275685,41.40215711060284,41.52085287955994,37.198316074076594,39.149721200127786,33.78172055956542,35.43733226836761,39.51909264176074,40.54245789987073,43.177418300840856,45.052787428408664,47.691118201372525,50.53274314381511,52.153937450239674,53.10421326513983,56.845344731646996,59.01724185571833,58.20302485010557,60.49376464976174,63.09857125492131,60.348722586769945,57.020327616685776,56.53227795102512,54.20539915130313,56.41454290220544,55.82722388397221,55.265589023350834,54.29584973531062,51.55912670348487,55.70485547960948,57.87342397794269,58.53416805336101,59.68111174300795,55.32258345759748,60.83367313625182,64.15741957491024,62.071180739393775,65.22704413362683,63.7788208013405,68.76386203069102,68.53665153235033,69.01534196211209,69.50876943592522,65.76087546822806,65.02934129887151,62.68213877525172,62.70238809186811,62.759279357950035,58.007745378004934,57.95008556064758,54.84199030832259,51.97647391835042,52.90664148620117,49.6039239819861,47.54384621329791,48.7946644085142,48.434904031081786,43.99347076993188,44.18035592062876,45.709045793197284,43.489702132404574,39.49142385619349,40.754056045989515,40.67140313386623,36.58017909566861,36.122422377862996,38.7846950648619,41.440169549957574,42.745421193222896,47.88512997126159,47.786775975769835,48.27992335484764,53.61023343764576,54.583009102613644,57.902453048402045,56.985631130847,58.21140694908488,60.1067270038196,58.034947591459904,63.120463646652304,62.51472258412479,58.31233197051766,61.256022917787476,65.47756660933582,62.536872884477454,60.82197222584655,64.36660669872595,65.14832914635632,60.8469757402566,60.88190005914859,56.56333207095711,57.41320040104427,59.12981871907056,56.082533692875145,56.44630591470664,55.99747408706464,53.8196692914142,52.43772801711814,51.081196781280624,49.33909471054056,46.9911123675105,46.30988346885322,44.51633499485859,41.472245795353814,41.12629557681545,43.92654827869983,41.10354825644948,37.18927559999232,40.676738045433915,43.45339008038539,45.4110777666575,48.76669493173099,49.882697234431895,53.91412672475535,51.60365946194019,48.65885371855994,53.51449628010405,54.740918759823586,51.95886110391452,53.05670825266279,58.36988999091556,56.97278405353393,53.4128063125623,57.0060474317146,60.81051013333116,58.450800793862264,55.81742845450784,51.594102723907056,55.2867570502428,51.51132873464192,49.515164089629316,45.68904234046383,45.00994610305846,40.6600091909439,42.50277735470779,45.39710065448911,49.106528822930606,50.247243850188084,50.024829888388545,47.06575314581062,49.46190588082827,45.69216321631587,42.526113137641325,43.065433718993354,41.88703973878173,40.60740115379358,39.23563624219185,37.30170401144734,35.093641222427976,35.2743059706248,33.278203913815254,31.521195532708234,29.641802685076435,30.769557133950986,31.403051758826155,32.038379168846454],[33.94121708413298,36.43190052952215,39.96661187962,38.58936186761226,42.93780983501018,36.64445192403398,38.02466778974787,37.791684782992725,34.3741495201044,36.9196279134551,35.454875143620875,35.71078115007205,40.42906484438917,38.27457815804655,39.93703989596361,42.612134606397646,44.76135150818289,47.72952127319591,51.344601545214424,54.2023164607107,57.32435011732503,61.62655289895269,62.73209116053645,63.63059544526154,61.01368126937817,56.77540321291166,55.308961101976834,51.11842859019818,49.47856418450988,47.497500379859986,46.00863054330946,46.064621197576,46.097726971372076,50.11294370553806,50.9552129244657,51.558559085143095,51.586086023690456,55.094230055709154,56.76716138426421,62.590820677658165,61.462644074902954,60.44168546699981,64.30105490881023,66.05125442548747,68.56889140328151,69.07437433839823,73.04592595486635,71.0626342321406,67.64128373278069,72.92053515595643,73.91692173578947,70.16000082270081,72.45342771423618,66.95439872727057,70.41092154659039,72.81084287162284,69.1554302308075,66.36516055051078,70.48468000259602,71.88623477420855,66.80390445570748,65.27075888170347,61.66257782184199,63.762726573983265,63.89438292362341,60.00099146345732,56.23266189905688,52.44822625783742,49.961473607376476,45.78534748794153,45.67749023976849,45.74654201461492,46.731540484667796,51.71875499864965,50.505330407599146,54.99511549227292,56.85417621820332,57.49724786664366,58.75315495571538,62.1519330368417,60.41719499435615,62.69108888685268,59.106315270748965,61.8560836544833,60.940755662148696,57.62808547874748,58.380226296642526,56.211276280033836,55.680294700896525,54.85503228581384,52.09145272237617,52.21893850007089,48.248572464459514,45.637497810271924,42.72127101389824,39.904953625269094,37.7356207639294,40.74521657351699,39.334298901711904,38.646124577241125,44.28185833710733,45.07381732527928,49.160749628359966,49.17740602375745,54.7093630958702,51.551486323867884,54.120309451619256,55.54403382547469,52.02429590034162,49.78997738154026,46.179222574769355,46.960198143855784,42.747288689373065,45.389020561677356,43.376400998982,45.59379061859477,47.27785603295472,49.550883694331546,50.638896452804445,47.10987260262341,44.92541044001897,42.45028806250889,43.60828579260554,42.282725006565734,40.42200713367274,45.04260688677118,43.107293958267064,47.59215728724715,50.15682409437105,53.53706473172833,55.4493955687328,58.739270353019506,60.465090170774765,59.13757808501147,57.27514490437681,53.18705687700775,53.40451644291912,51.849747239250696,50.669256050754,52.03496109949289,54.72111825470063,57.60872924749991,54.3646975875078,52.672811339256306,54.939074117816226,51.599830464801514,49.538567641328896,46.90258864310649,46.522916433116585,42.15531373056322,42.52738764831085,37.9501482823401,39.85948183455112,34.390308781585894,35.47559136683199,39.641304376773604,40.692454904584515,43.714329385118056,45.261747191112384,48.47301256358516,51.39513889535533,52.503208531638286,53.82421119900694,57.36119482341967,59.894216570517095,59.382994293011365,61.85415043762259,64.63214410712544,62.15529163862239,58.66423213749113,58.136888443957304,55.52278105417942,57.46826079917846,56.68643144371351,55.83081177348002,54.77967634176596,51.705327260050595,55.79239785630671,58.140626553991915,59.02272256911677,60.417240674053104,56.342025609362466,61.99225320776454,65.35022301097273,63.176702232478085,65.9546493651587,64.16897277796416,69.30544820541745,69.16421468793541,69.92145073375005,70.69073498345763,66.8932727260513,66.52575609627947,64.37038809577827,64.57170222774113,64.91576660165688,60.25808240591903,60.35613422612881,57.5075246085341,54.43074896393437,55.7043142525137,52.21592949768345,50.10105258670236,51.784054276116976,51.50857919488371,46.937463250228085,47.36041054661504,49.122778264831446,46.80521732151167,42.8401850617139,44.395783347165114,44.45956603944042,40.18449023434587,39.88239879789985,42.87658337478464,45.40893939372729,46.887177419502756,51.95069517939966,51.64830178213336,52.250331232153194,57.550892702990176,58.747217400271076,61.817816346452865,60.64994824586098,61.670208583855086,63.34940708088497,61.02036893406716,66.12072751442882,65.80763711285871,61.44798125445205,64.15464539260718,68.58420872608252,65.72989899844208,63.777430907996084,67.16398470508919,68.27314409397829,64.02799695819621,63.61311237576088,59.467705393198976,59.904137973822344,61.72602635805018,58.829932728702275,58.91452184922237,58.530941517042805,56.03230361928415,54.901818065154856,53.8117461203273,51.73834729121483,49.34709913531238,49.110083302855145,47.32358937144692,44.193814812035015,44.14605280469617,47.15647922560446,44.301595041908996,40.48593364694527,44.27370621023767,47.09999414954356,49.055910494867994,52.21826692064859,53.063302922962706,57.22101750643068,55.23302332149016,52.13919095136733,56.82840818278459,58.35006075143307,55.646644882266536,56.451505472740656,61.883779106296664,60.77629282177683,57.06000475120728,60.41998353419634,64.4648898354312,62.29246374262758,59.54648847262508,55.27923072080115,59.17638224618683,55.39676297072072,53.58382182621602,49.51675246735927,48.661350537808104,44.15639598799442,46.0675445306233,48.80175777961113,52.568340363301886,53.471402957805935,53.23186697527339,49.85933151731411,52.021354382821784,47.97831663592108,45.11867702168095,45.34593432703748,44.33069951031932,42.591498276342996,41.45120594703724,40.00434058688419,37.482672688144895,37.225909282989655,35.92678811592699,34.375996670675484,32.020387659235936,32.970543258797164,33.5185285399907,34.01915581841868],[33.99633620343915,36.157096690608824,39.34129000348013,37.56386525417152,41.593645077647274,35.226597015097575,36.17313639997494,35.83180078923398,32.09651640346693,34.263227083637915,32.535568597696546,32.88964876621867,37.545350127369105,35.221859271357545,36.628209898169885,39.403776163183466,41.618909183904556,44.36021076607239,47.89837344767287,50.82208286141195,53.83619357398596,58.16647507844141,59.22215867627769,60.22273291268947,57.70852847086021,53.46481731601432,52.13472999436924,48.01111804227626,46.3006822747049,44.41138403288663,42.54881797966121,42.9171901990951,42.81531652773836,46.67069176939177,47.65636263196663,48.22960660328119,48.515225288466034,51.95630193686566,53.751794786583694,59.60560716025964,58.434183397075834,57.19250096718279,61.01577734610632,62.86646357407935,65.33697592744527,65.97775582584673,69.9059089355299,67.90613011268657,64.67266492509029,70.02916860106325,70.98914840625051,67.17024409069433,69.35828117214969,63.89915671036939,67.29787157634956,69.550027033248,65.87366511722048,63.06071601035118,67.08022425074651,68.46011997269446,63.319815362315744,61.66460681077626,58.03686023486821,60.02063922166872,60.269948930131974,56.465047044376256,52.58556853276892,48.84610076875876,46.32160622192164,42.13663858737962,42.022009189763445,41.935387906018924,42.903160395720974,47.89430065282001,46.773797036902806,51.172800910639204,53.20461922472781,53.85283962571322,55.250237468837305,58.73016489343381,57.18263040703751,59.62091667015871,56.227378056163204,59.093308730980304,58.15713885875174,54.69181437583309,55.204949307277744,53.06647125804795,52.29103694176902,51.386794157674686,48.49495131013957,48.45192636469395,44.52900806736031,42.040975036544005,39.235064956797395,36.29280057606221,34.26257682235861,37.51433648379763,36.36138145158596,36.04862121605909,41.48486103308896,42.74061053876586,46.56635423285308,46.98871446447772,52.5704240887241,49.613743676307806,52.44463068200592,53.95574653193908,50.59649939027612,48.21889392872716,44.60213141555558,44.96588327228192,40.63224485908495,43.08580060284644,40.71601765353707,42.92541976071513,44.328492603407106,46.64721357889901,47.38536093923912,43.83610095283598,41.741036339170385,39.42201256159184,40.8547719863668,39.72636840460867,38.117911252101266,42.93566977982085,41.367453547719286,45.76310770304026,48.499071270964166,51.70969116733075,53.86411216970996,57.1896843017182,58.68092778164346,57.2298915098744,55.31725895330048,51.14284731080746,51.661595250761806,49.77978792655117,48.428134764651084,49.56239124003262,52.10468800812272,54.789569275449985,51.41251665998671,49.872899250241176,52.0494131035995,48.7055913095994,46.78775942201069,44.21871386435139,44.082257556579904,39.803149461599446,40.49441950017253,35.856524803379216,37.978036034870556,32.65721922574715,33.24237435833446,37.32411167239226,38.18034431043932,41.45509202037542,42.657788707769186,46.198438018138205,49.00820826469656,49.766795832472674,51.20912480222825,54.6488451200206,57.357284871490414,56.97686624983088,59.60719801595253,62.4581601570607,60.19750961393532,56.58509937564101,56.075731115094975,53.26909964672168,55.09738000318945,54.26093440309395,53.27984031348908,52.29818552989156,49.00917239886554,53.165884641781666,55.47496928063672,56.545059959276884,57.94921238932919,54.1422279393502,59.82901580799128,63.16080799672937,60.87820905328367,63.3871780649897,61.38028383171362,66.57406250341538,66.39906555051584,67.36761175031572,68.30190482675997,64.51776015257741,64.4054639657567,62.414934147247415,62.78845484526417,63.36955791482694,58.78788065920628,59.08878483633368,56.466963738450296,53.306704663267936,54.942209851552306,51.40471259775859,49.13353000206789,51.12891723013624,51.0808626556736,46.39295467931566,46.823808592863834,48.91171256114772,46.72942767038742,42.620452191011765,44.39582156161478,44.74902063023426,40.342803853831676,40.00110070000154,43.361095236067364,45.66596786361242,47.52226151614062,52.26955527712013,51.84279418407829,52.69021411899015,57.976261523221396,59.53666357484108,62.31220460344302,61.00736959928187,61.75629470889509,63.28795396614024,60.69507183715232,65.76773300971746,65.64124849737665,61.03605878543478,63.573925288264306,68.12306744260596,65.25478443039789,63.07538561414491,66.29685410596464,67.61591527886686,63.41393692762355,62.57879402117672,58.6613200655363,58.857719689536616,60.849017721759246,58.1942995858989,58.17661012750685,58.03600692516546,55.235463274364,54.13397153079332,53.44819004631458,51.23903243313405,48.622813416997545,48.70007884771659,47.15327041749061,43.969727588063726,43.96834671438314,47.31108676828928,44.600708672472344,40.72933904220282,44.6796760133759,47.68076823216409,49.45791503014591,52.49046674597777,53.00432789341617,57.2742125519746,55.55034178856332,52.154114328889634,56.67944904725165,58.44388966185041,55.75327409989368,56.18981230487728,61.76345828676339,60.885071176672746,56.92967217062132,60.048725545374054,64.33524094046574,62.30457658506023,59.40468148169035,55.07459246608414,59.14095055780477,55.34199870972671,53.79849743199297,49.452935487501435,48.490544931980274,43.84956163874596,45.72886714700953,48.29689372584489,52.08375651086476,52.77648421848996,52.613306188619354,48.87856365850879,50.89680743539076,46.610937126131724,44.10270200114697,44.25465369325828,43.518478833585576,41.46644205556663,40.28522647959861,39.329143224664875,36.74034975704675,35.93859935998049,35.10085357108248,33.94460385761561,31.38534941237703,32.24540024272094,32.91098123813345,33.47894182299576],[34.77400351947987,37.1602343142716,40.33293537868219,39.310150581514726,43.16819099745876,36.57748659033275,37.74139635702987,36.92181944332959,33.66091037308442,36.32781111885772,34.57426947752015,34.27570591251853,39.37938894226859,37.67020300992855,38.84900383810885,41.3325883242435,43.95207622834357,46.83069998797554,50.77427320003736,53.3401431635725,56.59763569278721,60.75287639453429,62.10107291098607,63.21567960823758,60.49438030995854,56.370248767089876,54.70172122579025,50.54204396912558,48.515239718401475,46.18587049133949,44.512192280530265,44.249776828460135,43.9404490402713,47.99932114316755,49.07342441891915,50.07086669483039,49.94864566146835,53.90530651374272,55.76587315870787,61.34604840330389,60.668012122217924,59.56668006155337,63.24193506633989,65.22837387921783,67.96233256103679,68.68750256571384,72.56200330623227,70.28802125448887,66.98089057161603,72.30586504874857,72.98440938149132,69.13132691728337,71.15988039594625,65.69405359381774,68.77499209486814,71.36473289819102,67.90645906197295,64.81781197085303,68.85624048476281,70.61342414867241,65.5884640010391,63.81811135542167,60.07771081882483,62.46493001939981,62.77346419115532,58.78502921867233,55.335925254520596,51.382551642525144,49.31286470951196,44.98731574768412,45.22429875074062,45.36756381030582,45.878282899468374,50.83704089058585,49.23534600478111,53.432587061631,55.32036761691031,55.592189313382356,56.939783689947745,60.46379247849375,58.555753959095874,61.0126496212334,57.25310841779484,60.19136078331811,59.61745008781803,56.169384728924754,56.93706372641864,54.358674405377755,54.12251706324478,52.84164088293504,50.33151043562741,50.369826148940014,46.40642716564935,43.630085413341796,40.991803509823164,38.10594893170965,36.26615878165559,38.751726937304326,37.38489212749267,36.24051808958144,42.13033080402373,42.92158811686057,47.20410056927076,47.37256633234908,53.0219732181873,50.22844922170428,52.71593519876565,54.479292043044296,51.18774781119578,48.65329046674734,45.384657070208185,46.16326361595819,42.0847268352877,44.97576893156596,42.9391482430702,45.48421226607343,47.02357454536327,49.67039189769155,50.557904254650275,46.718556046975884,44.84443123279393,42.312791293202615,43.882507002885184,42.41668973786495,40.41865562430203,45.017864622379555,42.79199232517804,47.232413998379066,49.68117337818767,52.73170328011733,55.040249500274484,58.06286988102817,59.899819007467414,58.200102836539685,56.781282368517985,52.81619356458809,53.45993732095206,51.947822647281086,50.97522735597516,52.077242052427124,55.08836227380254,57.74213719711913,54.28582044249016,52.50065590759693,54.43623548599708,50.87750062933193,48.985957344529155,46.0439669111901,45.52560854626812,41.14471626582829,41.2330799433422,36.456126089621755,37.85464857734355,32.18299255519559,33.203368882839946,37.511921133712626,38.95368636743828,42.019536186328224,43.717830738825874,47.14956753470495,50.485054086233745,51.460170949623745,53.29749810991016,56.55122235021487,59.37714577488431,59.352766469641374,61.6358169492864,64.67828407218191,62.28761634893739,58.84593739299547,58.06093157766785,55.34627585777112,56.86887919650334,55.77402430651814,54.63666525361129,53.25920956466627,50.14096904692597,53.896839683576324,56.61711589753633,57.43735105563384,59.2829166644448,55.16079307964804,60.9227706054368,64.38166822396788,62.35762647214176,65.02333749686699,63.19558375367151,68.43218835935814,68.70552864983766,69.37734252685975,70.31933069644039,66.36160057698922,66.13886534215393,64.00527050780788,64.15179093558285,64.57338859965532,60.04295647704215,59.98686322367872,57.30005537555073,53.93353181431508,55.21441411530235,51.4700650226587,49.59158705040245,51.62265598963625,51.08753983141573,46.538655685594996,47.56454329998278,49.17128848066632,46.41248119392166,42.896638353180634,44.74911143916719,44.62550342169353,40.2374756619213,40.47725003602198,43.58879342408638,46.18369506894113,47.35771074378452,52.76726746765336,52.060436108424746,52.48321597102936,57.650539312574196,58.874499443809235,61.70278042038471,60.17908961369299,61.12007418032332,62.541589490229306,60.10389945257532,65.21517854747702,65.2272526328457,60.98012765028064,63.42583373598463,68.05333175647681,65.4689053593806,63.41937274673977,66.7303006156721,68.21149535460216,64.08527458235777,63.46709750081053,59.284549403763016,59.223208883520186,60.91601312768226,57.95008953217002,57.665825349790865,57.07408470073632,54.472785077722804,53.74661324867825,52.57864329914871,50.161564513606336,48.029449553215635,48.14197159072116,46.08954363238569,42.94099315932114,43.361658552092194,46.27485168042786,43.25987260758294,39.75735249216799,43.837404476003265,46.50782082729024,48.63415078357847,51.52629407239715,52.26075174211184,56.4577769657086,54.79827462829764,51.86799498672022,56.37583312558704,58.15832677224542,55.66920025431008,56.41209535848466,61.792613937380004,61.04316570104445,57.46247040152646,60.630264411270645,64.76699778447214,62.90514044428372,60.25059840355989,56.11957011683483,60.27345287944641,56.71944478304446,54.74907745067615,50.68936781459037,49.406840702776464,44.89482715334107,47.244486153283795,49.76751285277793,53.60400395777482,54.2194065175266,53.61547276330176,50.07051731258597,51.86650640938181,47.856058751118034,44.9534510799784,44.58660070671927,43.412501075237905,41.38821307503547,40.83797441790242,39.509578435886944,36.56638647213548,36.47108939155448,35.80772145035567,33.993810777757666,31.14836815956637,31.95020110069937,32.20974000396369,32.41367518891056],[30.956141562428368,33.51287851100377,36.939935510035326,36.09150717656559,40.25462211117097,33.81408547658523,35.3730935911203,34.865646859065315,31.836094093361567,34.82145772416505,33.48281396262171,33.34091972459409,38.29300777256732,36.61895265061991,38.323770252040944,40.749503120739654,43.062511262209064,46.27892812420615,50.21673949104895,52.77307299953994,56.1430711764603,60.297585802817686,61.641086335238924,62.54238064734189,59.69281322594796,55.5519546178917,53.755193549002946,49.506419519866846,47.71837824395937,45.440379469076,44.39412303575758,43.885336677021655,44.01399277543563,48.261554706983844,48.94116737579706,49.732076031075614,49.351361670143284,53.14360751908823,54.76037910347887,60.40351824215116,59.58718839329109,58.80561811787082,62.59942365213195,64.35040229974993,67.07176620332669,67.55147501775319,71.50288044315958,69.34611625273692,65.76829265889666,70.98056450346493,71.8162532468636,68.08049670211628,70.35728246488935,64.83411294034326,68.18294962839143,70.85993953329789,67.33424738768683,64.44041259063864,68.66372071284468,70.26134086354374,65.30534096736525,63.86173601646807,60.240292332532775,62.679643656705395,62.68685768776988,58.59817543000125,55.21212166733526,51.25534164730813,49.1048212167512,44.85133304666259,44.998206498754705,45.43782267840398,46.110993833681476,51.06197157453851,49.44469884890836,53.993875629001764,55.50824826320242,56.01773057305932,57.04767687603577,60.35206814958043,58.289095504182825,60.40958405900381,56.53767773474779,59.22186671523605,58.48674578010173,55.29029362172569,56.34244822828814,53.97661538058673,53.89949936322257,53.0491497485497,50.5818966308871,51.01879430338702,46.967358911505094,44.096860731673,41.07862896592332,38.47734144809478,36.197631250721905,38.65427960719477,36.9284053893681,35.71035837695367,41.58325481541169,41.897606339569634,46.27870923392869,45.96553517611451,51.488780813396744,48.329112057568636,50.65688672314253,52.18110961620125,48.679386963487815,46.38969459598367,42.97459149566633,44.07428507672016,40.0563380224627,43.02128271838663,41.357443480179555,43.813173485791935,45.708345944152015,48.216646654992736,49.60299557883933,45.865583381303104,43.80322382603867,41.082047837070576,42.24042241940923,40.58259158196189,38.36514455149931,42.772061277116656,40.32903196542945,44.84304601606102,47.194304561609734,50.49699999113069,52.46677793350541,55.56106502704581,57.52665849679866,56.0774380261144,54.52450940790293,50.59639308763146,50.86748408940752,49.62178414199316,48.76670541290859,50.14699669588237,53.25193323585725,56.17054068077811,52.91642684863247,50.97424294276049,53.10088812616525,49.62964166380513,47.521611829033766,44.62921708666196,43.92413902744587,39.47915386483245,39.42185916131645,34.82506828481027,36.36090652746476,30.75587427731277,32.23334138647378,36.482712651963205,37.84169592561594,40.6265095534523,42.5607256985509,45.544488291966985,48.78022508631169,50.16399200044988,51.66868879783287,55.12070639493262,57.653543329301314,57.35910049283579,59.53586320995502,62.438991577540534,59.8411219298099,56.499400053112545,55.7607700567274,53.25034134019173,55.013904127450935,54.09525863827654,53.21035732001142,51.93753907993884,49.06932622510863,52.94252917466834,55.47296310830587,56.138899999890825,57.73798278018788,53.399157667320516,59.06508179002644,62.49608119099297,60.50974068062407,63.47519675538221,61.902097203286566,67.02694929467934,67.1906778594233,67.66395803838668,68.38661577024764,64.47279324680295,63.971359340809414,61.694179769890404,61.72099993667088,61.939179603752656,57.31699615992396,57.1757559623512,54.293311913825995,51.08631021442417,52.156721932285954,48.55018041810661,46.66089190340521,48.3891148599761,47.83973479113847,43.34039238673317,44.158075044701675,45.65589682407363,43.00489662045174,39.38477288378147,41.0538516203167,40.879045260557874,36.573564105069316,36.672771788283654,39.62592691467406,42.28465283239861,43.41696967011511,48.83732110173814,48.27352020146112,48.67071522079118,53.88957026413183,55.0191281268917,58.00580669437374,56.66629497230392,57.724604771984104,59.31720587616451,57.03324096135394,62.149575096847535,61.936155360811505,57.74049291450327,60.37574145823828,64.85968680411575,62.174840821410875,60.27390805391816,63.70086091173564,64.93501943300397,60.75314746089695,60.43186042272132,56.13346955567213,56.39868511644901,58.05310025469957,54.99918164542555,54.95378047559301,54.36940857200311,51.971757789091406,51.00278524020794,49.69304084889109,47.537010014291916,45.35755093915371,45.136601312895046,43.131226750154234,40.016067932634954,40.170574301892906,43.01426644177056,40.04262835506427,36.39095236652,40.287633328124905,42.98820100625047,45.08114554616764,48.13663016350917,49.03243906933973,53.17205526044809,51.27749659935778,48.37738851703603,53.02048872253454,54.60790029300918,52.03597096172187,52.9461160200389,58.28595315041532,57.33026670952811,53.806347450934545,57.13484226699406,61.13903777539892,59.138519017314565,56.528337513835446,52.39928350619585,56.434144449014276,52.861396370558865,50.796641395407036,46.85458582132968,45.69011398117978,41.24799765731928,43.547477618248486,46.18162586046791,49.99337892520243,50.768213884892795,50.19984752391471,46.910601455879664,48.90033588416356,45.04575582571296,41.93225028429238,41.840016670387676,40.58155022337181,38.88370066918996,38.08583105256309,36.424828764335615,33.71376013901632,33.873884226701755,32.679422545299374,30.755161618461678,28.23649829604023,29.175916524970322,29.549896222253764,29.9236418836584],[28.556148764597197,30.81437016875202,34.070883308243076,32.677520540874404,36.79802640957852,30.404461836845325,31.729226061552446,31.45721659263709,28.097530191407305,30.80410172025247,29.487169922311484,29.720345260483395,34.41620834478916,32.434446481040496,34.31271203642989,36.87678226779235,38.95606264487169,42.15153081202863,45.91957035361052,48.625573443444075,51.908484569249865,56.13838671535431,57.36188198897266,58.18852419037405,55.40779230533244,51.21503116283778,49.548109532122986,45.30599445554196,43.68210798386333,41.63320690350113,40.587619637583,40.3750137571371,40.70764658964842,44.87916471251912,45.42331724243591,45.94636959297894,45.7535609273973,49.248362747453186,50.81542113440041,56.611447884463814,55.53321389167909,54.7047976639948,58.58307717471995,60.249486479106054,62.85330129203128,63.28732061629684,67.2659643922377,65.23535409914531,61.68179597444397,66.91353500856322,67.89011692948718,64.1722136395004,66.54810813609907,61.020557951094155,64.56960002773856,67.07102871979757,63.42337792418984,60.69683349501361,64.94003309488374,66.32137618360483,61.31909569058448,59.99220240621733,56.45321903953107,58.71787842699893,58.628792023245836,54.60273506982,51.04161786384792,47.176214885553264,44.82711203745301,40.64443803609506,40.64416083779149,41.08949942956703,41.95405955057374,46.90940444590398,45.48102911592567,50.21646316588173,51.692464665323584,52.45131595734871,53.42777657107799,56.663305145772405,54.77301285987475,56.84068552760541,53.17450556930852,55.80069627675781,54.84362077686058,51.64510976481582,52.58163822360385,50.49010230229114,50.139358837557,49.57999502949488,46.922824330229574,47.43381693273416,43.37966185054714,40.6316518704632,37.426035896186505,34.87523873253412,32.384476965053025,35.24805653157264,33.58688202485683,32.911557875202384,38.47348051081444,39.072302291535685,43.145083078499404,43.002028382632815,48.49006092062613,45.24645718805618,47.842995848124204,49.23549853414888,45.73276036893219,43.49131616708464,39.86034541948927,40.62886969080064,36.43629422013425,39.152736779556456,37.2824676393121,39.59269602560151,41.42235381775635,43.80751845396518,45.152731693130775,41.52728217355416,39.36402968670959,36.70930300751206,37.82660960578697,36.311764726306244,34.28849419500654,38.850737339839604,36.810646368470906,41.2935533329572,43.84860711592978,47.20126512482502,49.159562285840835,52.43279036408652,54.14887894399852,52.80284574729808,50.96916182229644,46.90668387218684,47.20237778874659,45.69390487579063,44.63763478665137,45.98617031040888,48.895353489359145,51.80246899391432,48.569162533209685,46.73011732430702,48.96322482373461,45.591702983172475,43.468063432216624,40.76233421989285,40.27843132863361,35.88831831174738,36.22996054836931,31.704041643228265,33.766035036109294,28.434085462074957,29.567574626250746,33.650044802871165,34.601586485714115,37.53050376277574,39.14086698379281,42.2066055303668,45.13132343957952,46.37793400457436,47.68444916364894,51.22902752842939,53.720276921954884,53.28357406552059,55.64955858620853,58.48950861523261,56.00101020012241,52.54587887203097,51.930507480404415,49.32849952509026,51.22191768857165,50.43090593413114,49.62331355024535,48.590613290478224,45.61513262371159,49.750644083313546,52.016700025499496,52.83990020201553,54.175193048166584,50.04154890361624,55.67759611340609,59.03735602647216,56.88969279886526,59.74388360951118,58.06276107538518,63.17051865817446,63.11225821675787,63.74772615127778,64.4920355353275,60.65843133263977,60.25978410346436,58.08863517289426,58.276204077432126,58.64861110185311,54.01800019659057,54.13177051375718,51.365004821036294,48.228539884037836,49.64281773536536,46.12887284222466,43.947264977472315,45.79450242559196,45.61911472461423,40.97776068667163,41.483094205125205,43.40264094224462,41.141226044298584,37.10520212495984,38.86198961260766,39.11184201393919,34.712163469832646,34.48207670654524,37.80131692522464,40.174013561185575,41.894799056609145,46.78626851705018,46.2786836021232,47.04701921783406,52.32204075200631,53.86092394772816,56.63763813802151,55.34259240692692,56.14128193689611,57.72625720524505,55.222114371852996,60.30490604598961,60.09606177912821,55.576393857517225,58.19007434168705,62.68707829456275,59.83665726354038,57.75907608396425,61.071628813865196,62.316296115812484,58.10809686719949,57.49022631820254,53.41697382943599,53.72629221220891,55.6181831260935,52.84212414456429,52.921662489534484,52.72624279898737,50.08209967807571,48.87697389250252,48.038479714820625,45.96715632912193,43.3760209728364,43.259759042915306,41.68940435254271,38.52614066076651,38.42824460842164,41.71277952779504,39.01809264506576,35.09844296162578,39.00430902563407,42.01102502424293,43.783488154061,46.85125202802336,47.43824447454439,51.6792338815251,49.887717616531035,46.54894921812699,51.12095556591084,52.82747596141062,50.15004577340069,50.69681510493592,56.22000805085797,55.323734185344286,51.47114543846581,54.64954866395883,58.86377189045177,56.86100636973934,54.043257508709466,49.78240886314483,53.89015455403692,50.203592195848685,48.4812252832902,44.23250059389599,43.13686000073868,38.544678296672615,40.63415583064974,43.19706676178963,47.011030147201794,47.704575260088895,47.37152595447675,43.81086420950344,45.855298477685395,41.75699622986373,38.973022241169126,39.14080236160471,38.24866320574823,36.41938133287493,35.21981655827585,33.96590959762225,31.435177353224795,30.964371284350992,29.839956135699442,28.466978670275292,26.03291778243153,26.989101685316246,27.70477962588625,28.37074471569919],[27.865014845800236,29.81081613641048,32.396386023681686,31.45549560396826,34.76574257581163,28.00786359890701,28.98311866635846,27.902085124506094,24.797175891712687,27.734013357974238,26.11984879496954,25.589366744604142,30.77938665995298,29.482533852304353,30.842745892408864,33.09514778202855,35.722317953965785,38.91443031597463,43.14262468594461,45.41267722884697,48.92843401369259,52.93854420598224,54.4993845903897,55.54274786732265,52.56870593099403,48.54736978428012,46.54615301619824,42.33092067667209,40.246687106081694,37.73552830251523,36.70467440447481,35.94732985627146,36.029585815077425,40.35321713940352,41.00932819218909,41.96612820964368,41.47317161340232,45.5042795830803,47.241771601502265,52.729269700029775,52.21041834342882,51.3819165503089,55.04639072071565,56.94712472301298,59.83854279265103,60.49318940299289,64.35776125611724,61.96925182688828,58.49227043890161,63.747750770308365,64.34344483706595,60.53567587680595,62.64140550046552,57.142054102733134,60.29962808919258,63.067457850444434,59.65566216670388,56.614973510750815,60.82624555244662,62.6052994421722,57.71378714939686,56.217529731753025,52.56333751296631,55.24185520915423,55.245662421960695,51.04980728169344,47.977541615084,43.880573050924475,42.10809839143914,37.76598154499499,38.238125529270505,38.95787716495406,39.1916187352712,44.069458590624855,42.077889034159185,46.58644841786122,47.89112029242198,48.277364790523215,49.2118639291411,52.50976730885731,50.33493267632163,52.51215025740821,48.594862059345694,51.384996594390635,50.81123658783281,47.50640424917844,48.55664654003296,46.01638785104803,46.11175816454663,45.15493271515821,42.85565922424747,43.470273257965864,39.38360071691861,36.36095823689702,33.32913696674117,30.8509814740453,28.5912688765896,30.697174648979498,28.93419632644624,27.66907259900357,33.550692721515915,34.04418146203628,38.37068678868177,38.3347834722393,43.95877674360129,41.12112051802646,43.64677960859149,45.44007011697803,42.233898201904374,39.613549113644396,36.402908809482035,37.146340550733825,33.146218045818415,36.20478731349324,34.3808634474303,37.13816520148709,38.84235320728519,41.72662149952839,42.94148388178603,38.91298758626446,37.160888310006825,34.371187811355185,35.97651103486869,34.211874068021615,31.957125653976806,36.42425065931458,33.98563395172898,38.3830218514582,40.78421393027291,43.70160267391578,46.17146239972141,49.10685542871103,50.94076083258795,49.13462112463045,47.8536151508912,43.96256303529641,44.8268520493732,43.391712554964826,42.653202644276675,43.656693400933776,47.04464900923316,49.65931029591388,46.19093313095145,44.1797874297997,45.98481000800411,42.339658682513125,40.402438003512906,37.28786364855662,36.57915883595168,32.165160144482115,32.13012717429367,27.35493435412159,28.847216813169045,23.289139249424554,24.360803367364092,28.618455386517084,30.024546789565452,32.97347706402971,34.81277223460829,38.087492976785704,41.52575938978796,42.67244460562761,44.603272760758436,47.79790248818115,50.620114660783415,50.806384075597876,52.893834124898156,56.069106563693325,53.69342888834347,50.32614726213774,49.36257901288913,46.64948512402787,47.99569354523952,46.82028007705171,45.693057238771715,44.27314591181434,41.28854579259182,45.05850867826337,47.73103027974405,48.453250452100825,50.300395561953465,46.08722533586028,51.85200994899693,55.33071251622302,53.37245871361541,56.1222099811961,54.440061306917684,59.650058675373494,60.11733866606286,60.59630461783192,61.53262714209237,57.50217636530523,57.2659368457204,55.122353048853284,55.2423457355296,55.72697650129963,51.27667067519348,51.220266671349584,48.70611573758374,45.196545739325266,46.70041555304888,42.86950926508413,40.94551548598592,43.30742764498976,42.876628030986055,38.245107243949555,39.53545581606342,41.33969301317491,38.58797957159553,35.10123118287509,37.31586550744294,37.43692805587528,32.88128794476041,33.36371035778846,36.94545345318763,39.27686619412994,40.738918698196144,45.897582659897765,44.815974731932016,45.453407401465775,50.523869770762545,52.25932627652954,54.59215733106718,52.82253135426363,53.40685108095684,54.63451855145114,51.90999298111388,56.98962702550323,57.218148278663044,52.75046990492621,55.00004254216069,59.758072084786946,57.22918287276122,54.97465131607335,58.14685697697766,59.894322216026254,55.863185031127955,54.89173468692379,50.83514705488962,50.475971395043366,52.251887980701575,49.467031116556896,49.09696439100217,48.75953291231413,45.90095174007548,45.14873932105136,44.366974603528654,41.87357045622147,39.48088655443174,39.87618112181053,38.10830559133456,34.9080661336736,35.371805315962135,38.6807727933361,35.896426310697024,32.33197388898923,36.63787822457404,39.53192296797077,41.39690851492205,44.07063532840413,44.377144242133475,48.70058446010963,47.412577694273544,44.15238859896737,48.42026538280672,50.529334857552335,48.132611967313956,48.46309528936443,53.94938440372947,53.58553527128912,49.84169535670335,52.6802012845998,57.07064575052793,55.5254706178142,52.7922142725138,48.72310064991883,53.200033908177716,49.844090262955284,48.00760916311794,43.72405522935524,42.01684459491646,37.42601732551869,40.10202499773991,42.29312476316453,46.17180089325942,46.41044605012367,45.60026202858567,41.75031888512921,43.26888586787626,39.19681176561123,36.429788975296,35.80996636501897,34.79888393649175,32.541326305872126,32.07310407520951,31.109405692565154,28.030462393879187,27.628167092355,27.487002977579923,25.892578107144633,22.749466129588523,23.49466443713616,23.91536515702984,24.277212731634567],[27.254415281756604,28.756234667167405,30.982906829232903,29.39598535993376,32.45553574833238,25.752040155272933,26.240079331932368,25.28121299495421,21.676843745751096,24.132771645050756,22.337109184235544,22.181909570981148,27.160578297899626,25.501096879446116,26.852311590075608,29.296658684528985,31.794241594146342,34.86047522585912,38.938322538617314,41.37122954322114,44.77448868148781,48.87361408822859,50.317691687029765,51.36015416752488,48.48551960631273,44.407910753970626,42.57617122080525,38.38611928603142,36.38170371175849,34.095894917780505,32.84512375676332,32.50995956314056,32.68965418736039,36.88073219400819,37.506077866824754,38.22860914521344,38.03513838218669,41.799516870807885,43.5728092573662,49.21764439935979,48.46124571678275,47.471984162955636,51.1969405187286,53.08874590861851,55.86722227745859,56.557395487830064,60.42989801001165,58.13101832803735,54.76343370807676,60.085208541508976,60.77910189890606,56.94627027788826,59.081555577090484,53.58671210987617,56.881723199842995,59.436749142837094,55.907119536125826,52.9814364739779,57.1651846943124,58.761646107815395,53.79002163863312,52.31893065481828,48.707948143038976,51.1929471854279,51.182843271553914,47.06980005189839,43.78700387558239,39.766316052514476,37.81135719569294,33.495323054748305,33.86156853558492,34.52078258555516,34.88174897069127,39.78748672058491,37.97938804870613,42.61322950513219,43.982566407297824,44.57623696529995,45.546841112736,48.84381007551907,46.90435067100718,49.135038128971566,45.4824261726973,48.29460999955994,47.5264878832269,44.126944353079104,44.95387485302816,42.646786864629604,42.382033466544264,41.61811973272101,39.081526732428486,39.67150317633868,35.586241991037845,32.71369384947304,29.55980463337995,27.038647100349582,24.648432004636167,27.266675244607047,25.70363013758515,25.160776266305948,30.65677005856296,31.679945395856823,35.590156061113824,35.93511004941615,41.5521938138049,38.76143370216564,41.64655987101484,43.371293141972075,40.25915514200942,37.61329612558013,34.234155571460406,34.45761365033342,30.24253848852063,32.98328321655884,30.767458415219266,33.41810700035557,34.90822385864958,37.73755148749694,38.7267059884581,34.7506288739485,32.96828120239749,30.30449717893592,32.060100299799416,30.517601069662735,28.568489774310386,33.28153110233083,31.396325536335105,35.701840784682396,38.36062843425233,41.22101244192403,43.8019911871037,46.895420010484955,48.401022587332385,46.62001446100642,45.08241031741937,41.038287215122054,42.083135825890714,40.26003110407281,39.2659032921302,40.11286467125318,43.270281010429,45.77011883264869,42.23375695095608,40.383256575768655,42.22680201284777,38.64586409366499,36.77309851017133,33.83731362197637,33.45536594698622,29.13330320859485,29.636529795562197,24.891192948129962,26.977920282354415,21.80648937035697,22.215912456394342,26.26035032731176,27.183992242209342,30.421265652311,31.773927259408705,35.32223923815525,38.43990787963298,39.27573746884028,41.11964530343151,44.342118912501064,47.231373190585956,47.37278398618966,49.6984369155679,52.85849111847225,50.681881261781044,47.16271326579619,46.310003614030165,43.420661059278046,44.80980455399417,43.707634443676625,42.57236542246226,41.387692112382986,38.185310896791904,42.220996324492305,44.65819121501489,45.614365404237816,47.25136620705259,43.35017040602354,49.110618637048695,52.51670863215348,50.36924086293001,52.88981874937286,50.999210422643664,56.236058460288206,56.50437917751047,57.22437276010227,58.26202178296068,54.30185084675951,54.277915292850395,52.30452787026923,52.641490194210405,53.36618894655759,48.954895439924414,49.20652503056687,46.9041057332561,43.432461411821826,45.38041924543018,41.631548455562196,39.40416472829916,41.991670652448256,41.9757656028212,37.22106714126986,38.2385325885344,40.51474417292351,38.17628496904442,34.33050935224118,36.67462873945133,37.2576069025798,32.65309592730811,32.83262232336168,36.78677579882248,38.76729243044898,40.8239425652233,45.379013987688175,44.31865436707849,45.34107011479453,50.40662244425646,52.57028015210581,54.629244880971704,52.868466751653465,53.14408413960732,54.3042697385309,51.31759563795364,56.329488327917474,56.62975129436985,51.82918016093227,53.980662046510545,58.77271864492691,56.11392335739624,53.633009490672535,56.628444580754056,58.46221544321075,54.44249412824016,53.05307252608812,49.30195569477529,48.87535661640166,50.91591705336207,48.47977236381518,48.170553176537176,48.25744273235426,45.08599949130723,44.15873887928292,43.947589188206344,41.48907026475435,38.67755754664263,39.298147799444074,38.01341359601576,34.79697481267931,35.06467704142449,38.822676930262624,36.361885420121034,32.62327502667042,36.9155057404084,40.074983293843424,41.593286819141014,44.20106711963442,44.12912716018322,48.53742313725353,47.43781495467806,43.74045094594082,47.849175930570134,50.127636515050945,47.66718580966597,47.55755707978844,53.21014962776327,52.97580657743794,48.899859281880524,51.5047900046469,56.131274791753064,54.639342702673886,51.69570799276955,47.521765364483876,52.084263541378284,48.6461735777822,47.206558566928834,42.61059750390949,40.94425301387419,36.22757580219105,38.67749945436608,40.718787601817006,44.57279383500529,44.657280223266135,44.08430527284008,39.87289273914338,41.35881302307686,36.983648530663814,34.69607217564587,34.2598890457123,33.71018537204396,31.20100463254574,30.375535158633728,30.03479145037881,27.12188749945469,25.867499632045412,26.07098163688407,25.192796974683,22.087981377546352,22.75151714183049,23.524505815130656,24.15830188890035],[26.19369993094621,27.43892815682443,29.07743085087395,28.108594813996767,30.44064161152693,23.557412893843154,23.87920400026663,22.166752968783175,19.095169003303134,21.985623069516723,20.141805506359063,19.109294333568105,24.535503106218048,23.75759318996715,24.788753774160693,26.779024994760594,29.69680877489603,32.91368793514116,37.43923911361175,39.36733125599538,43.047709016379564,46.880417215806865,48.66542166417558,49.808968528371864,46.69004926965934,42.81936498435775,40.57868341194723,36.409338039520215,34.05267905821354,31.28795521842759,30.435164393860305,29.314164907650447,29.448075036208117,33.893213761053545,34.426437228298376,35.52584377116173,34.842084002115854,39.09825052880442,40.91280786166666,46.22708798579644,46.003181705464826,45.19518914431806,48.73433352218312,50.738746832128676,53.79799133816176,54.58186631554075,58.358211972916315,55.76364898449928,52.34326184973865,57.607844239184104,57.987972672033784,54.13484885039067,56.11025060364506,50.62986748248477,53.63495198302119,56.51841200064193,53.214705448480494,50.064159272864636,54.294630588170065,56.22567729876229,51.42762958542315,49.95068148519743,46.29757592790176,49.233130273633,49.170967075246395,44.85407730423552,42.1551358691364,37.92804754153231,36.57844696552591,32.203688512045154,33.02692144960459,34.11842526570111,33.88566232094984,38.62272365118453,36.22273389316164,40.73180499695275,41.714656691691815,42.01441236368007,42.770501063311684,46.00421101871246,43.67554219722491,45.83870867393973,41.850846703866935,44.700094448421325,44.2696923675305,40.90584081672668,42.01626426886866,39.33255467969261,39.65975015404852,38.68316913326509,36.59506345636234,37.49831754657032,33.38090856694742,30.17872752894437,27.062069500713513,24.840865059842834,22.526271136327704,24.132686182317865,22.228746337595258,20.885867827607317,26.758492305187733,27.363439528127053,31.63238805082547,31.816948716047538,37.508802692687546,34.972913705942936,37.672124876073354,39.70277111055432,36.806506317209596,33.89176121582449,30.92599143926527,31.314163464522736,27.396755767800833,30.544569811260875,28.64283023945618,31.699999891911542,33.24547132313872,36.488664506160845,37.611122824915114,33.322426519746806,31.90805606705523,29.03898521222559,31.04044704054934,29.139398194562926,26.834369325005728,31.242606518746836,28.801692662217402,33.00942203442365,35.41500497574721,37.929399681149214,40.85254073915021,43.607311761898096,45.313129145182664,43.18764992304659,42.180211813128544,38.37012334890554,39.79259208023237,38.2268252378418,37.65081109594158,38.29044378158408,41.97124471400968,44.29508706236126,40.666159092449305,38.560739387743915,40.037690414533095,36.23703849487136,34.46126249782198,31.11984727081556,30.36561846379061,26.01459542138828,25.971211954562087,21.06165646642295,22.52288778705503,17.115423162951696,17.706434323808747,21.93781585975413,23.37754067464882,26.45592782321578,28.22247216292543,31.729827106906246,35.36343037444456,36.325185305916236,38.654917595852666,41.590183270301644,44.65207256493741,45.296760721845594,47.25292152518452,50.66517507442827,48.493474694737905,45.147186732080925,43.962275837379636,41.097301902837685,42.030137270052776,40.61515216425518,39.27557161224965,37.71621789743746,34.66079926331487,38.33060591727768,41.118522417798395,41.86864693086809,43.931503001628606,39.82460631089878,45.65681930561145,49.16878768155652,47.25500414051339,49.82842672383398,48.08743677501528,53.35243624654148,54.111911196862025,54.55449761798021,55.66416460746597,51.53608813837932,51.52037652348876,49.49802989224609,49.69003919696237,50.40737362975757,46.14899707731686,46.1651882416942,44.020923612721376,40.2680798590126,42.16915544298702,38.183786983004744,36.24747260478823,39.18046397856923,38.88112861128663,34.21197723340632,35.92503442593729,37.98351297066587,35.22082251227024,31.945001887869033,34.61248886975445,35.01909174188678,30.386893693431293,31.20548322063462,35.24133402520628,37.19682533781732,38.92699713179589,43.71018020629616,42.18418516546914,43.03766014099032,47.8825228626603,50.142600096272396,51.858953271933004,49.738966181651065,49.8735028673118,50.76236127256266,47.65810637422047,52.648773235897515,53.267430654972536,48.58938913463205,50.462109458778905,55.42174219878975,53.051592177778076,50.492887470680564,53.40429518510362,55.59972991390218,51.74120503059778,50.18613526222128,46.39301904043162,45.45945139828624,47.341325086965135,44.84792239197277,44.196262529804514,44.125000883076105,40.856043144361585,40.2895356957541,40.051566012475305,37.297467964781575,34.694375318795075,35.67840207766073,34.217981801767685,31.012159581252252,31.736298259026437,35.43662286145606,32.936059893566245,29.550027802034045,34.0850737951098,37.09725230799702,38.67775850319968,40.94609124261724,40.68164807686212,45.10593217127013,44.39398686851502,40.83974082505105,44.685146956087486,47.24060322569206,45.035525942066265,44.81883346663374,50.36745694817429,50.540633973822196,46.64775608771537,48.99617084422111,53.68283732449347,52.56418112090839,49.75810859931234,45.811641346842514,50.6178812342299,47.518256951499,45.91273618355003,41.41670542703139,39.245302355346254,34.640804185389555,37.60382497099467,39.32448958364243,43.183143464455426,42.9188365596434,41.88781429670465,37.579857329811134,38.615362876632204,34.40450590885757,32.02957685994901,30.894217479269688,30.16885807043206,27.379738356748636,27.252986235700863,27.054709571108233,23.70493860745777,22.680728151791282,23.700830862468695,22.553172133647486,18.91526880981444,19.366505579443885,19.85508234544001,20.190679808867593],[27.277604748835945,27.98591221513249,29.06618803023902,27.486987492807575,29.264723970336263,22.544600481402586,22.089865961836608,20.269887152201516,16.65895637783283,18.810796451447395,16.50448043872435,15.643348308792834,20.980698063425045,19.965400475852796,20.63874432494454,22.792729590729138,25.80164361057602,28.77171402166952,33.24388980317348,35.252031144036955,38.83461874621489,42.71924395489456,44.449437145513166,45.69087012600535,42.67089161968969,38.782812707709375,36.68993202659734,32.58638154710016,30.145752210668782,27.516046130042525,26.228653023136705,25.53923828085623,25.612298302102626,29.909023452764178,30.530189594494665,31.512850207380975,31.178742988360575,35.29554130277347,37.25230657438604,42.66077412952215,42.32059162429712,41.25372010500857,44.78684301470241,46.8871819490545,49.883057415128285,50.80513522268791,54.54697480401891,51.95501597244224,48.73586334600753,54.097975907341485,54.47706607220512,50.55328530777813,52.44864894589341,46.9944210709659,50.0130402510154,52.692322481964794,49.31774624837373,46.18404335959792,50.33924285373055,52.18502983982227,47.301097847189716,45.739198517487054,42.07573821610936,44.87947603078217,44.88818050981617,40.64288267788864,37.801544106936085,33.60044762531214,32.2098878742688,27.80443417202548,28.661293230161323,29.69258703954849,29.390621674283366,34.14207483740815,31.80468571373546,36.338474306234126,37.43549612049178,37.834912418122165,38.697665938338574,42.00302408895986,39.91546427693121,42.2466407326691,38.5403991591073,41.51139098669967,40.978737098996525,37.42213678142205,38.225715705534654,35.65548661837337,35.62497483168455,34.6760163815477,32.37779048802416,33.19453852046192,29.074532616523744,25.98379861217803,22.835533178025717,20.501621341978186,18.18896413910222,20.23025088280697,18.660108431792914,18.157211155761,23.591226146029605,24.98576595883598,28.745524517149526,29.555255765882805,35.259097900184464,32.980982073293085,36.09302516290916,38.15950578843797,35.507622913802486,32.472276481106,29.484510138986057,29.170891032851284,25.089025692363666,27.873148585916457,25.431792693920315,28.473620480561976,29.625398620415886,32.94527988515137,33.644218404150266,29.302468326829985,28.026256748337893,25.34175426151561,27.744225974037636,26.116488571384668,24.215291949697455,28.85774438017379,27.071390000701548,31.056282724630684,33.71138220432035,35.98075432864316,39.17869069510946,42.00198524179661,43.32500440351338,41.096954484278605,39.94943188722112,36.024372159058636,37.83769351214588,35.80836224682533,34.989934705836156,35.3035086494293,38.77929929116737,40.836787330883304,37.043963413314785,35.13107847960919,36.49766409709742,32.69535308627892,31.10775392130795,27.881740497849858,27.52565629671602,23.347740760127234,23.92069764563111,19.030941064472447,21.027124277794876,16.245123557387373,15.70589233257398,19.630022920639647,20.56771505333652,24.081125437302646,25.208600459181003,29.209948921221077,32.57965708216592,33.03756506279973,35.48858071206424,38.31494474859032,41.58571770402509,42.36948910694467,44.54951353208087,48.02288463892937,46.148843018674285,42.653005381770235,41.5214857561223,38.40966824938361,39.211850456900635,37.76252506345281,36.28506073749653,34.89391537778041,31.519617905061036,35.383353545696345,38.02779145087827,39.06544675286723,41.04925635340162,37.356954990493115,43.20122224280747,46.64642818730929,44.557340488437916,46.77284162710484,44.739318602197,50.07337694057343,50.73976757855846,51.462576378471006,52.765904458263165,48.68274889722998,48.9953644728171,47.208187069076196,47.650357818790546,48.687129717936465,44.55606514276592,44.89268997843375,43.07977486838228,39.316147377649486,41.72498062502729,37.80343960703205,35.61924958285525,38.8909068420174,38.991322539270904,34.273053867722226,35.828191256201826,38.33441394752074,35.953558135287004,32.486252217878636,35.31264897321399,36.1528713128464,31.553122487639445,32.162967478701056,36.51149410962817,38.081078033753165,40.322243616607736,44.488264330645414,42.914918452152115,44.117106735218144,48.862806716878275,51.54075263106225,52.90286634033312,50.727730715150365,50.511315441861704,51.24404272854526,47.84881427408459,52.71888335026368,53.50924977356316,48.53604854652083,50.199415559565345,55.21749541515377,52.79948143883033,49.97691722109731,52.63710254476688,55.02754233898613,51.24947384684201,49.16184247744737,45.75192827283463,44.582418342624834,46.71385221941211,44.62909053662473,43.92895158515418,44.27826928374689,40.64415383746423,40.02616374352449,40.426949478837926,37.63469638175915,34.67974794261004,36.034266087810984,35.060738104887896,31.90405097203968,32.544205897052045,36.6219152340583,34.472509357893934,31.077521867874786,35.562815253451056,38.745349440480396,39.9853146742507,42.0762033098891,41.37650833175069,45.84522551517619,45.43364745747851,41.50671682028631,45.072842669563485,47.854097213595054,45.66416968982296,44.952584899000655,50.60745460563871,51.013059938356115,46.83869320850228,48.85102961014024,53.77710946684765,52.80446359966183,49.82086269390707,45.83832548812549,50.740442981040275,47.63568979515772,46.440357176043,41.67838321409989,39.48670086575544,34.83255636515076,37.59598591953001,39.066375855442374,42.85595093998381,42.34429428087061,41.49523176354669,36.777576558040785,37.63171184213117,33.12724633728375,31.375854230535765,30.261237330728203,30.059611549701813,26.909143368417137,26.585505730792256,27.210417287598496,24.02089714146291,22.0188025681343,23.713404607931146,23.36973700299802,19.791496977841557,20.045793564312728,20.813417348224508,21.343870060093522],[26.736860588296427,27.41482801580809,28.241020085882578,27.2652117630096,28.67885911614156,21.886429096554465,21.522340642799026,19.175667582025312,16.205072853499924,18.85357077492508,16.699103288174435,15.061087562175576,20.713296489706313,20.47596335716144,20.997072874232217,22.712868102933466,25.98122548970524,29.105252334587394,33.8718921641871,35.48181025447534,39.26798512694601,42.92989137476787,44.90510817070041,46.179886517400774,42.97470906533503,39.256776028160175,36.84451201590562,32.76453139876354,30.112598511705755,27.10257075448313,26.263692747031588,24.83643209217086,24.893083749498526,29.411239686842677,29.929316566373764,31.225508970000753,30.419419677302404,34.92550890214966,36.860292947487444,41.984837558881964,42.058728824872155,41.203166642488604,44.59445388483125,46.73741145373124,49.93641324807031,50.876946641375135,54.55229952521997,51.763885805112615,48.45657270403263,53.73466355983007,53.898112850053515,49.99052634739691,51.79480047139888,46.35360767176356,49.15967541205048,52.12614460814008,48.93724682959401,45.64866325323144,49.8513447735836,51.95222428955974,47.22841223105927,45.69435841106489,42.01821057573654,45.16790833205552,45.11580474108884,40.72326970817621,38.35304047005036,34.02813621019971,33.09303706877316,28.706512897372228,29.86208578232419,31.19870619417104,30.51410066532081,35.09289336331496,32.33679093893158,36.74240130097217,37.518459057674846,37.676021901340405,38.34501885429645,41.57135448862691,39.13368686886814,41.36014743379364,37.33258309659256,40.29121181452845,40.03421926006393,36.56893414752834,37.66814000874118,34.794793703557644,35.30982062677466,34.203503795869274,32.3115345328083,33.38483179956524,29.274359284025756,25.926601783507756,22.846530909157135,20.821544396586003,18.609560300116506,19.655096742302653,17.71052904477748,16.274417107701822,22.154684409623187,22.995201070122132,27.181723811612684,27.699632344189354,33.4522923134296,31.302702562377764,34.15969536365544,36.43556360758421,33.883831875443065,30.695199796459892,28.035315964408277,28.033129970041973,24.25492858305044,27.417591510905527,25.391413174089774,28.69638251712298,29.99343997506111,33.54707305930082,34.46404988020864,29.96591245149996,28.92274831049439,26.074494980139228,28.48908159996032,26.550787467051737,24.305325131443475,28.600360831642554,26.248075072134945,30.186566782769894,32.57241901841702,34.64700210235375,38.0028000257,40.55773807557705,42.12461577701462,39.68595484621653,38.96000718700476,35.25100155429417,37.209037826635225,35.504895842527326,35.05362090288033,35.31858051198358,39.19109517741017,41.198527773876435,37.41534414094949,35.279788097017295,36.41138452998076,32.475683401404666,30.914393428162615,27.379582209736792,26.630800726598576,22.414714320746768,22.385819074068227,17.385962261998824,18.70888077404827,13.58511383899118,13.433523955191585,17.60875633841205,19.122050052996318,22.3823651001177,24.010203761211372,27.831847129356614,31.65027047340594,32.342831854817476,35.1002760547483,37.738421595433955,41.05810414800341,42.1483137866028,43.997572591007675,47.61352280700628,45.662607572924664,42.34399718375666,40.97346607073925,37.965884877349076,38.47951223112917,36.82052072549621,35.23699751380833,33.52318216068233,30.356294133522024,33.88265993061402,36.82509205508476,37.62806210179106,39.94182058457492,35.99187182298325,41.87224991109338,45.40534969066876,43.53572377027479,45.88704492041536,44.049438976996576,49.370097197309825,50.402798386919926,50.8493845008952,52.1413802392814,47.94025183949883,48.162361911036086,46.27830039947999,46.54777014174612,47.48633152252808,43.43751022435502,43.52059718301007,41.73199279184584,37.79056916347627,40.02035861147165,35.93222794181872,34.0304791187537,37.43544165675061,37.23363271174477,32.61732987783401,34.68160367734594,36.90244677277901,34.150511594021616,31.152304089188593,34.12559659520328,34.72714376763879,30.14850664825679,31.225010987341427,35.496273597588235,37.13996084808553,39.013831515099035,43.46711562069899,41.614205115526566,42.60449495741553,47.20712434363136,49.821592363291835,51.0533911689898,48.662224812823055,48.44637981555807,49.03498189522444,45.64468621355941,50.521388016847546,51.47959926393127,46.68295893911513,48.207795283941685,53.31276018784084,51.10821394625937,48.31355010445434,50.98041104951209,53.55389865615022,49.87214633983129,47.82775743420816,44.2939519509565,42.843114024274094,44.79002146898712,42.561294840614806,41.6349131453746,41.76500410222163,38.161073217935,37.817122019240635,38.03498545102739,35.050736371545035,32.34324959479594,33.86149390183617,32.64846573405279,29.5096044649304,30.490553314347835,34.40370965333659,32.158121596856525,29.04334319664717,33.65978042096721,36.67343001753004,38.03317712223931,39.927530603974546,39.21114812982808,43.66037230328482,43.43389069232782,39.72134871617501,43.16545991905153,46.06213510856564,44.048268232680584,43.401780679873205,48.93517717620787,49.546046421455436,45.58735423192411,47.51403537072593,52.39523202036215,51.62901981547687,48.79735209227647,44.99233491435326,50.000382748169585,47.12818790123684,45.71651339862492,41.12410390065857,38.627829132190115,34.100116551372295,37.227094063455404,38.5495094914929,42.336550787843876,41.6702598070682,40.47020362142918,35.82993913056401,36.417845283782206,32.137491396545684,30.170827409726378,28.556165623104437,28.096921243279482,24.846925365175824,25.100170643439036,25.619046718351555,22.1130263792059,20.538960475877122,22.645505761325623,21.92736679437957,18.03119916306837,18.163198998495144,18.64960335514666,18.88903081726142],[30.23178519408324,30.888923379728553,31.473840268556046,30.780600552031366,31.763581039330266,25.069033443428058,24.441762557975867,21.57346553851676,18.947816800836033,21.306775893374432,18.79701977320577,16.51080209864879,22.30561597195909,22.532811463068622,22.192228442380063,23.638289973776136,27.44027881696302,30.171437831966266,35.101063355517745,36.41928376288725,40.1906190470786,43.66366378342032,45.815267799803216,47.355155488512686,44.18068478331722,40.636478910411924,38.17322878643863,34.27494340519116,31.2178065316505,27.917452886883364,26.54385583453289,24.91920997829901,24.295405628550625,28.712024973988512,29.702263228838504,31.519760171955795,30.708394486772136,35.668038317116874,37.86262443766682,42.636082286993286,43.18196759778341,42.11478600187729,45.231611297639304,47.66462985328117,51.00521436571115,52.22280634503897,55.7413298106539,52.69737806208809,49.65212032879288,54.949730769152275,54.77837074731272,50.77911884566013,52.21694538525784,46.891935037700314,49.19661074680965,52.27082262596261,49.32168467035959,45.698906953892944,49.70263896578979,52.18306351207847,47.520169007723915,45.628217906192276,41.80281340326619,45.16244819595551,45.4185451523485,41.04680253442589,38.97270124197498,34.57450023747354,34.08377701311897,29.645224836129856,31.1238639186724,32.313153259842075,31.14544447887064,35.59794417208605,32.537421752104365,36.40567113692721,37.388912138204084,37.05060973689826,37.966835844904246,41.39878493744774,38.8870993506973,41.439709549646146,37.33725392543675,40.57428724059911,40.73167388553585,37.07068046164139,38.024878599709076,34.66353151623216,35.39777862900258,33.60145618877176,31.982799525487607,32.74489245294524,28.73434273566667,25.28810939074791,22.8287834350491,20.614213942416324,19.189891921967615,19.491993824370056,17.91453865304152,15.877896733982546,21.9793259303093,23.080900415353025,27.352697432078266,28.28604608207112,34.086527349291465,32.53960157881593,35.29619808304974,37.941241870230215,35.74482305916432,32.28160008722871,30.119407863062246,30.00337883353183,26.518682471457737,29.723244871992613,27.600818823087934,31.072139852659824,32.01941705010615,35.811063902418695,36.29304339833045,31.631930560465676,30.986041595080966,28.32193811185157,31.149814286228377,29.29297036949907,27.162838286727585,31.29891120962622,28.888529144857443,32.586884305573875,34.80997651476176,36.4310390265542,40.16217178444882,42.395950352684814,43.988843609845716,41.17967961564147,40.919605214100876,37.40481476522986,39.780065659891115,38.068910187786834,37.74083794599262,37.689230034344995,41.64848735839861,43.322275007641856,39.37310910719304,37.300023089778705,38.03470401995382,33.97258891565145,32.72463842009072,29.01248208466277,28.24634043912258,24.257297133929185,23.97977975143042,18.967845143422483,19.43240961820897,14.324178386762707,13.726016927441398,17.927474951017594,19.968058216822996,23.281221180184513,24.897750126952186,29.05180848840744,33.212808821638674,33.561248431537535,36.87660747972307,39.102866536349765,42.73668555955656,44.31023877023155,46.014676758483056,49.8180920463659,48.04358728925505,44.79820831379746,43.24570529644124,40.15602252250899,40.20230724417185,38.22436105357569,36.294240079283455,34.23792901839256,30.974824775284358,34.00940017657087,37.386493216789766,38.184506215392155,41.010358956544685,37.193444861262996,43.09649861758373,46.6712153543001,44.9536988428471,47.0395301662152,45.081141183859,50.45960469441893,51.87055092852597,52.326014292267224,53.82804384737259,49.54416643066061,49.989392024742116,48.208032437676394,48.466755764367186,49.51354700231221,45.6739671361339,45.64445347468122,44.07096376250606,39.9405580823892,42.152619346006965,37.905025637787354,36.28788062531471,39.94072531589649,39.50410065371172,35.040363451684,37.57326234251062,39.59188697023724,36.51020424585716,34.01091604911014,37.10791839769461,37.506980233737224,32.98322799906534,34.43601363479537,38.61652718940166,40.31175878344122,41.868879878872804,46.54213409032559,44.450990699785,45.25151226647155,49.67571927662505,52.218538301194165,53.277668142895294,50.62021922211449,50.357413484022494,50.69829420044722,47.25503032656778,52.07185084929797,53.33226470253878,48.71400341824449,49.96202628732897,55.18853713731646,53.260526337119515,50.41371616684272,52.95402664019067,55.83895505985867,52.31821363556002,50.10119761933605,46.619779345906316,44.7053674015983,46.50111090650306,44.256441556687484,42.94457531271591,42.847110446760766,39.16805833955097,39.305586654842756,39.44733009437402,36.122701284645274,33.78060494483762,35.66444383630179,34.18452695864526,31.11854644974049,32.580608716929525,36.25256816534083,33.88261762696543,31.190130869326328,35.92925154328635,38.696743906644286,40.21545565362873,41.832488156468266,41.04860691663649,45.44562889723705,45.51261701008953,42.051030131901705,45.26966364999683,48.3361234240693,46.53958071840874,45.876871216792175,51.264703897553986,52.14888884157905,48.37558757137264,50.1262418971918,55.002276002526926,54.476508011461235,51.7581095264968,48.109741317302806,53.19890605228526,50.49931896438702,48.994798132951395,44.50867401335484,41.80088073441002,37.386877727259936,40.70921193022457,41.88537632256886,45.63804126557804,44.7960253095773,43.35775340385893,38.68432655926069,38.929001699174584,34.78190288214431,32.885378445174055,30.733513775065695,30.13956339900521,26.658848168395263,27.5834280663969,28.223921691768773,24.448358291858984,23.12160456894542,25.758584677737435,24.816382573112275,20.692262370867166,20.634274805269335,20.71080679478156,20.49313463610399],[31.040211032799114,31.869917099278652,32.91411384825364,31.576548364673354,33.15040546022348,26.41989155432766,25.82991534237561,23.598388738947968,20.203657286726674,22.12699284274429,19.447426116918276,18.070160787888447,23.591298616405744,22.85025879161508,22.707311061584726,24.73066484662279,28.233491840274095,30.77841256774533,35.34174677885521,37.19087068457934,40.69946238006378,44.47592447625805,46.30805436841552,47.818879566968825,44.88701077046662,41.10745884817236,39.05679148013467,35.10917439399898,32.310985411016084,29.47043473083937,27.48251182124227,26.807684083542828,26.163666371333626,30.30017524775388,31.47760024832093,32.9231970119013,32.71427750477773,37.21429829655642,39.44506829289203,44.59552709657272,44.619964867473755,43.277240857291616,46.58225040617584,48.972271870499895,52.05596694586678,53.25190323137097,56.864484884861454,54.068573961598865,51.127881468937595,56.54032517935438,56.64547215296439,52.61959237001305,54.173865987645875,48.82109609559901,51.388699001217795,54.105988143903645,50.91833253854936,47.47054965333661,51.40779797049099,53.58158777195114,48.69778358022678,46.72838706303662,42.89502338701094,45.801603909358846,46.179342068280235,42.00054407208724,39.291341378587326,35.04182966365625,33.94968063807692,29.458889066568283,30.547650024452917,31.273975610150853,30.605313021957084,35.31435646614271,32.80920125486273,36.79701925033282,38.27881836208764,38.21322157227622,39.434140970287885,43.004810273629005,40.94149739575373,43.65067988360456,39.929634738574364,43.19167860443106,43.01057903531579,39.227794247364336,39.8142920616956,36.807256213383226,36.84549056941271,35.19085591417423,33.0326812426821,33.3802945782887,29.351766362211773,26.239173903291473,23.74112840212534,21.037071514176315,19.545921792009423,21.146737071686363,20.024140851725257,19.092975858968284,24.746130903228376,26.466517867823786,30.30130712225923,31.521654638800847,37.306779185121435,35.52773108913716,38.56371412026835,40.94643670651246,38.54884032150297,35.279358830667476,32.66166543762413,32.28053190778598,28.385859265910884,31.20756640514353,28.612028561860505,31.774480507779263,32.580375672884124,36.07475737600691,36.29000889092193,31.820129827351554,30.860606315654803,28.390663076610622,31.177834429978972,29.67955649895107,27.909356308515477,32.49285529131305,30.659770038111937,34.50475529645103,37.0521472643298,38.99040708375085,42.48954176398788,45.07729776173343,46.431451978765985,43.8999436909301,43.11160238368832,39.311230959254864,41.44278757234736,39.37972204472137,38.60905690260358,38.66971092561959,42.14848493105708,43.92242564683826,39.96198817625386,38.15739944772668,39.21428327419296,35.30409996968147,33.994476816023855,30.63847153152342,30.31448281573834,26.288857745613882,26.671252658415217,21.68849091712182,22.98050964097782,18.0208069086559,17.204309887531394,21.244372289742625,22.636935852847184,26.2598675452139,27.3565446996566,31.708145744730654,35.36469300953751,35.480549070482766,38.40381764848702,40.899972590258685,44.463385774121186,45.62261647946923,47.73662956106667,51.35735026569182,49.63038945147768,46.16247972849201,44.9082156674787,41.70591270983588,42.149215713582315,40.438216240902115,38.65303856051518,36.979681557339354,33.46505944015521,36.93225285360942,39.96133656054791,41.03280597753995,43.45798863633974,39.89285341797195,45.78109870150068,49.26805283906342,47.28317114892025,49.24665074923194,47.05571517087579,52.46454489513672,53.411352406877754,54.20098478453708,55.69881227773765,51.55066929683796,52.06907289425271,50.37029236714675,50.813354433763514,51.93565958518977,47.94405788928562,48.18459408758515,46.5022867861899,42.578368174680364,44.93323501815051,40.85592252300024,38.907469000065994,42.34367979503204,42.20941556270137,37.58098419924886,39.50944240874612,41.81561936860104,39.102516973417764,36.009516175943915,38.908526605133616,39.51812373485473,34.914630471711895,35.82842680122519,40.06835829359047,41.77242639742848,43.69440350973964,48.1711517018472,46.44732806506851,47.4460402158142,52.10822377104623,54.64426741168219,55.968367150610526,53.59529453350989,53.41431278653551,53.98292378984863,50.58217412040279,55.441867408774336,56.4499495343945,51.645275087638986,53.12605296698553,58.25001375926963,56.04492358354328,53.20510866059602,55.803570372490036,58.41685923580405,54.737335321669875,52.56612259661817,49.147953777314655,47.63885466391068,49.636100324033144,47.47773544896492,46.464118506768,46.56105924757998,42.900736280799364,42.687559894140236,42.92595386340853,39.83852950710313,37.225253850007235,38.82417181791284,37.531681966086325,34.39461585517911,35.44233237314278,39.28116023884572,36.92773213831067,33.83449551010546,38.467077502060256,41.43825268261732,42.89684697516982,44.82795456963847,44.165571233513134,48.60821225732192,48.35924489754044,44.682434575850614,48.149544042628015,51.030059620656175,48.98788164459597,48.350839082749495,53.90373078322629,54.46698045700631,50.45641262073749,52.40490267422663,57.307399155701674,56.47255128267664,53.58253447321324,49.69221220366365,54.6409662272762,51.62548276743084,50.301152495543796,45.63470751642777,43.316132049498684,38.71718921828665,41.63339004113475,43.06615609339556,46.85715533475956,46.26784889679145,45.2428655189832,40.525329121125544,41.15715130914997,36.743291768822864,34.9745269590177,33.44309983889391,33.06168550215145,29.74327682425303,29.963938574339696,30.566251374042924,27.09425576302178,25.40040784228404,27.41837864494189,26.74910946419915,22.912465493422363,23.05813143271136,23.43886553347774,23.56198358928994],[31.249066393568683,32.60819144773773,34.28442685554501,33.27281733666642,35.51156908944369,28.646050503008368,28.70851699396642,26.751669696419807,23.55522768096677,25.974116888834008,23.630383145176115,22.397209896346556,27.93876818645635,27.087415424972814,27.357534295245454,29.423203497525787,32.748482925316495,35.46550069015613,39.9576035846463,41.911602332412016,45.42304530566982,49.251922409591124,51.02906907405018,52.44992631388143,49.510714534358826,45.66625518943036,43.61749145557331,39.58852425915901,36.94297430791324,34.11966108947225,32.34305082938643,31.559775304665727,30.972016535380394,35.146085701955734,36.304360020956196,37.747095295109446,37.40407647361696,41.899854072705956,44.02204932010953,49.20617139808663,49.1801603880231,47.97363263569932,51.340342693662365,53.64183948078319,56.70474654471025,57.77894791300871,61.454480688611575,58.727204805125346,55.64523111499963,61.01540652474003,61.199515681286904,57.22000713394413,58.86753727119188,53.48367041444206,56.10152753713836,58.89578288853689,55.705024671662024,52.2833062977195,56.25689143683966,58.42599909696005,53.54996796282952,51.618457099708685,47.787980382181566,50.666555855796595,51.033558278235425,46.85743417991716,44.07241040759347,39.851897170056915,38.59686738286876,34.12213836900917,35.0406528389926,35.658489980830154,35.23699367137889,40.00711333320036,37.64011596550467,41.62504543785664,43.16732860038915,43.082752809819986,44.311461742434616,47.865625733475596,45.72172801963071,48.3405290950168,44.47610275135007,47.65068978562271,47.47226847716705,43.81428616674428,44.558989106751106,41.543996174747846,41.698123864999914,40.04674293006106,37.92450065417984,38.21253719448226,34.204513930041344,31.109772329387283,28.62920640818209,25.912318724460366,24.361094437381713,25.962515330717803,24.649592080218024,23.267567515500346,29.196850161136435,30.385677365948748,34.564390906415866,35.321953811241,41.10359940678374,39.04845405419697,41.79772126743239,44.090956162175154,41.426742448573165,38.307789590252,35.589868766305166,35.73532028569187,31.852300084922923,34.87676383049185,32.58889625590691,35.67398301200249,36.78343634968531,40.118015708835095,40.61909166158355,36.25650813734425,35.06061676668639,32.48228249823444,34.90858103208986,33.28942029842439,31.286471943127186,35.8276599507777,33.614099423155565,37.69693120404732,40.12629599572462,42.367598245887436,45.56793095223925,48.194542947150644,49.82075308774731,47.45093599818556,46.63810789544352,42.84735633177227,44.568552942678785,42.79433204362805,42.08899445409474,42.4717274100746,45.97691355967411,48.02289432962115,44.1929184413253,42.30520441823266,43.563763440060015,39.69429133527314,38.19704127326814,34.84020231811475,34.302253522873,30.10191632696786,30.147753544031175,25.139478781935722,26.184188045520944,20.73366264748501,20.807989731995054,25.078072304910133,26.740383668650793,30.08358170559313,31.595475587865558,35.587806295507534,39.34212161326745,39.82725995314643,42.53487540585167,45.21221209245109,48.58083348662828,49.49357891827394,51.5430686813355,55.05929847767321,53.08336914443029,49.67148723765085,48.462658032795574,45.43525544404675,46.11311339968938,44.50511019857995,42.87450801444795,41.152472486375046,37.83885078363152,41.249208556546165,44.324546247311304,45.22132755231128,47.61964727210942,43.757785082139165,49.64168909444422,53.16819168720852,51.26051054368637,53.5003628638453,51.49069233226846,56.856748332409694,57.75049943931549,58.399556812396895,59.73003766805583,55.57745562940488,55.83240679190897,53.94978641177479,54.22594734229428,55.08766656027364,50.93846834478985,50.97136059693357,48.962578111783436,45.10726437133163,47.04253956569168,42.957247255871984,41.14715336996751,44.21530685462776,43.79972357375738,39.18656672220035,41.079607023526435,43.05490558939608,40.101065881135746,37.038628906131976,39.7164153724819,39.97938543123306,35.35733556414244,36.294007764661295,40.22591969717869,42.2854310679659,43.82278520500566,48.80645998018834,47.24749715328719,47.96797330096271,52.774931343329335,54.885279633142936,56.63021298915679,54.38946754265683,54.57123546577463,55.340439687769745,52.23106740130723,57.208814875231084,57.99380619552991,53.42575041231195,55.157637588424365,60.1984709110017,57.96663691729409,55.37459087727091,58.21993773353552,60.57843278091641,56.78052248714104,55.10898034759209,51.363500275024,50.17823560523936,51.99851749377908,49.488279986818725,48.58670311364872,48.33287929559495,45.01566656978325,44.78158921805853,44.44927852802514,41.44703958572266,39.11467741285969,40.30876020282418,38.604596315327356,35.42396327647344,36.45671781453329,39.95234381309581,37.27344695256415,34.13067355852512,38.74743639559481,41.57829970871761,43.35002459473902,45.51928800981255,45.30556063817359,49.70240955512647,49.089898982223005,45.72851960566128,49.51122354050462,52.12211778199665,50.005892157916925,49.84157950376791,55.327795098703945,55.58062218546305,51.77587836418629,54.091707367209125,58.76866629038989,57.70441187301934,54.93660137793742,51.01173616695294,55.81366032358004,52.70159757215538,51.059437760848446,46.59697378436142,44.43500937664704,39.84298463997461,42.79039307976082,44.53203901489505,48.38870251206725,48.10766347579298,47.05050480624911,42.69252011566991,43.600088747308895,39.36614971338342,37.09402952557707,35.71777738129828,34.930761400505,31.97539650828751,32.187986077446666,32.067929026449946,28.55594543618863,27.60451158416022,28.87161360786441,27.598415379221645,23.838779737288682,24.174656889364215,24.367369598983284,24.384886011918535],[30.92236036949277,32.134240768036555,33.947639982421556,32.098090219768196,34.64410285943416,27.976161963737773,27.838905769592245,26.519003509395716,22.636526590817205,24.44862789811237,22.06570155856184,21.75885768491743,26.79587343893994,25.065319762558868,25.643553656528024,28.175424896889776,31.036903716253327,33.616649247604734,37.671682487764414,40.11470676649672,43.36214405540975,47.456423764267704,48.894873421226976,50.19747061290572,47.485722153383705,43.445669187786805,41.79414473622577,37.75283207844354,35.46622384763966,33.174790089581414,31.084836119814543,31.15943148456284,30.81694287537837,34.745604032960685,35.83272150873434,36.751434967948406,36.94290918889384,40.83053219170502,42.89786258179353,48.46276627883922,47.83477158260189,46.44036835994607,50.017249949896225,52.179268825085046,54.94975925655119,55.93411059863718,59.70042263059657,57.280284383657516,54.26420988324843,59.70518736015812,60.22627678912847,56.266404591553375,58.11139578605744,52.70482363080817,55.71085206432018,58.115589873614184,54.64839949467052,51.5286280904195,55.49290794011072,57.2320116196498,52.178069040844214,50.3469011436398,46.611229143691574,49.01284664503157,49.33644316788209,45.351347413381426,41.98274898018512,37.97174428468512,36.11405225642788,31.714346543922186,32.205055380858724,32.51883523273247,32.65801125579365,37.577422105353705,35.78806402961268,40.05601327180443,41.84629598568734,42.21328083277029,43.548093961272485,47.09255288852969,45.386601689607474,48.011379490754884,44.57471090409887,47.67417608074122,47.055488144808585,43.35441693259062,43.7858671842715,41.2895901300113,40.755314758792636,39.53408099375394,36.89184050921933,37.0290733402824,33.02554502982902,30.281666445761005,27.56202560173903,24.664208177058914,22.8289319328273,25.59794713081119,24.58860060154719,24.376384864507166,29.70569596839393,31.48237005692867,35.100038902682826,36.1427006635449,41.842849847422464,39.54351632329292,42.674496836501014,44.643845633578316,41.85055347237017,38.94841603022396,35.775160750711414,35.474562725121025,31.232020660678995,33.75174063197433,31.016012515596113,33.7274919786068,34.688566711374776,37.672147319158285,37.98390458734357,33.89900504901255,32.398708567856005,30.034646237570694,32.35246174627553,31.12047936330664,29.55999090019665,34.44712650815742,32.98782606521782,37.07865043928479,39.859570434008596,42.34855163081939,45.33091851782017,48.33138954455048,49.59229998725602,47.534776818285415,46.122573924006865,42.05777487341125,43.59213223612718,41.39519592887689,40.23349729754309,40.67940580121746,43.66190551009196,45.779722522319695,42.0014969376646,40.38688570145949,41.96581637449256,38.3167327451057,36.75928091147656,33.83180800046845,33.76819389283704,29.63929377022003,30.44872441640603,25.604582074167524,27.612058800774623,22.627610694910338,22.208488111573494,26.16456411295758,27.04069992173278,30.660006584008563,31.556657284135138,35.690119106347524,38.81298452791876,39.05534895478974,41.285957432797204,44.228289214362555,47.46822774854682,47.94339071984908,50.413666150998175,53.71594853934327,51.85271998845176,48.225423911502126,47.33874783895024,44.19701568249044,45.271271832201045,43.97685181502381,42.54044371923929,41.29687541313398,37.76332095110505,41.69099867749234,44.274823344392935,45.46879597532117,47.33642530843693,43.81114589304534,49.62565663137637,53.018143654547174,50.8026820167332,52.89300227613068,50.66746513918391,56.01302540425752,56.378615643554056,57.371495539158,58.68471102181908,54.71336223446242,55.06984503539158,53.323771654896404,53.84557351156885,54.8577665435329,50.613177330370085,51.02823904102218,49.033114544036316,45.42860066754314,47.69676141644005,43.860231913464716,41.61292908508933,44.562240329677905,44.6533474794414,39.89295329912038,41.078228745628735,43.53401152139375,41.19773884232038,37.46493378335717,39.99421102447738,40.70990778371912,36.08580779931026,36.36170187446416,40.481688734393586,42.303322601311024,44.489244236885135,48.865965919389765,47.65932655579845,48.778728305223986,53.74127802482915,56.09364222449537,57.89668617762,55.9506873226658,56.01681836004745,56.96214935526434,53.76402688673984,58.70923022178299,59.27666613621809,54.374864709976684,56.26708762622713,61.188588002277505,58.63365891148915,55.95193419180107,58.744952115738926,60.86625716518954,56.95490227198253,55.13719070546504,51.6305074376058,50.81132761869529,52.93981498178486,50.71825253053293,50.158406000291016,50.34896585420237,46.90130810194937,46.21319980698916,46.31106356449852,43.60346255992886,40.775787106580516,41.81736000904998,40.617098858724276,37.41341584111645,37.923440727731986,41.79815649359587,39.400020073232106,35.83927531361527,40.25391274579767,43.39883200197919,44.85798308830449,47.247602169093504,46.91010427998344,51.35576725645439,50.568473091877294,46.777033500557046,50.65016073926975,53.1627012397696,50.80495788438598,50.41013261900936,56.08953175167309,56.121519678422345,51.94995456781358,54.2912868328376,59.08153082881428,57.77723685490481,54.76671331990113,50.61598264620539,55.29241588354789,51.89762009889019,50.65134537693298,45.91968364634678,44.14241455106595,39.40404241111426,41.836947814284486,43.68490373250096,47.50695374633363,47.366432845834154,46.79959154896125,42.28048288339699,43.49874834801253,38.95309564080063,37.06529504101111,36.34786224977269,36.015490820674465,33.12028337415263,32.53546856498611,32.73009245693875,29.6693829873147,27.970043825658557,28.880495520561816,28.29042205875206,24.944076085734316,25.39840391987919,26.07534097682521,26.543693133129842],[35.822267788013725,37.33942909085145,39.50183916593075,37.65842015367628,40.49386486706294,33.84821444119879,33.82464757735387,32.55473636430829,28.654028829803277,30.29410644591165,27.77625968080554,27.49052735175717,32.47303231827468,30.564774595240433,30.81430654843386,33.43678938250121,36.390612764406995,38.613156438349264,42.45719247279778,45.043694423306746,48.063940873061874,52.20213865099679,53.513492720729,54.9541621621212,52.45725869214825,48.40086556420741,47.00297822530717,43.07097899408692,40.73636431279104,38.53255427925945,35.82992293018012,36.25950927659944,35.4652833806688,39.10163447676957,40.62795120185092,41.687610327797486,42.176708429822305,46.08628529993014,48.30704532052149,53.837326053031774,53.20661134381888,51.53845691132827,55.03498015434766,57.338522243114916,60.0151950017518,61.14116407335329,64.85828027648408,62.45498866656995,59.667131184910524,65.16158551666642,65.64766256946783,61.633868883711465,63.306616604990865,57.979856773827485,60.78624258319034,63.056208497777185,59.62477285167137,56.395168294193795,60.14812767918624,61.958710095173515,56.83169591981446,54.687826855501456,50.86602047613746,53.06376587218795,53.71956656435508,49.93132544874448,46.3544417484896,42.46642271654774,40.501336326075645,36.134095769280535,36.51575984256401,36.31508237378387,36.54793175765521,41.45820235112775,39.92799890525375,43.7672880903517,46.08286292270565,46.2358835144951,47.96426761040995,51.72290476831716,50.236420490943075,53.15383619625654,49.852928443654626,53.12435897418195,52.60423486627698,48.75168252965852,48.91457729503959,46.293963259765526,45.535245692352646,43.898156285368245,41.16062069144717,40.736754592913606,36.90236114847826,34.38229887719779,32.167372124653745,28.932181743943264,27.649618667718332,30.520734565591166,29.89719214846866,29.636633245929634,34.97906762174806,37.00571610313259,40.60053215604636,41.877290220095965,47.61250385513269,45.476152044629394,48.57490413848814,50.62174396683793,47.84064636134408,44.91215800734971,41.78447692647488,41.49427491618872,37.24523856830513,39.6819914279559,36.78072254180626,39.38188613532357,40.131798080903614,42.99901848439937,42.932157157676826,38.96469741480758,37.48600034327796,35.37155892633096,37.76553357802917,36.7629083937508,35.39152126259871,40.34899981779294,38.991635097882536,43.09203153240291,45.8846982015131,48.36630421475376,51.35195879345725,54.349801254165065,55.61008940782664,53.52167732710199,52.12069605016654,48.03686542763954,49.54076653392976,47.26910071972507,45.967915854976944,46.392114563787786,49.12485932261423,51.16488313152304,47.34574538083089,45.92478397443652,47.48694134171772,43.88054056511352,42.440856798992996,39.6008275762289,39.66522604935099,35.59778826440989,36.41444003144022,31.537042876182415,33.296990438849015,28.150610196808383,27.736271866947735,31.74803406111216,32.770403153917414,36.46076849243038,37.27339894994298,41.578815248998076,44.71012835738666,44.738360679531056,47.03723229499872,49.91074508252124,53.24036729580895,53.699725768578624,56.285387862946315,59.552910218645884,57.74252417661558,54.06440578663895,53.25375592691557,50.07246919297959,51.14801650777076,49.83034863387169,48.300110022874655,47.01342237998856,43.36189367310213,47.16208496654438,49.86679996861335,51.14106108422281,53.126264075521036,49.71349157926295,55.537629016534616,58.92573558284473,56.69084088573698,58.629409139562966,56.25098696870599,61.62459499118633,61.946351096573004,63.10240327600562,64.490897596622,60.552791761704974,61.00310969155336,59.30296633960067,59.855227054578926,60.8733741432779,56.61744974991855,57.02138742994808,54.96731146263654,51.37899046426454,53.53210121707472,49.67524124331833,47.49738614947171,50.33273159164752,50.30882329498486,45.56997796477376,46.72142945557685,49.04438590331691,46.58940580664081,42.89301128117207,45.28043943911481,45.81456390893061,41.2068263653689,41.440584255148835,45.346942286171036,47.365306740430285,49.350096730547584,53.977366592992546,52.9176829394253,53.886591517292345,58.91988368552599,60.99339644548765,63.04993620935725,61.16456993177719,61.42167563187333,62.42352599969347,59.34896247545806,64.33586721753926,64.85869599787178,60.08299494923934,62.034351843509754,66.94080719632709,64.40208113476463,61.80304485678867,64.65747183641628,66.71021424961656,62.761857356110525,61.08343171602463,57.50131372062542,56.742171146188056,58.806324387571216,56.46284639510824,55.855907315958895,55.84337972793799,52.50259540527938,51.937638644528036,51.78417109456903,49.011636936937215,46.39994164867082,47.35940643729512,45.900393933613124,42.68991560583815,43.29321944472796,46.93727641373741,44.324527757553504,40.8236353672097,45.23037276683943,48.24208890868458,49.91677493175859,52.402590089840984,52.29657591956966,56.708323001196405,55.76806502303062,52.179560440692846,56.18388151714721,58.57524212352164,56.18908134327471,56.020696244673005,61.66198570690761,61.53652151524776,57.455112476903345,59.96305224056564,64.64899337544067,63.20858392350113,60.23870650090276,56.04766134141354,60.601412892048906,57.093981099207774,55.74949895819703,51.10838777161826,49.51082615999647,44.77761784730054,47.094653402271824,49.127352588929256,52.956232604471644,52.99586710370001,52.49807327151643,48.10692557112778,49.428519810817285,44.910953071309265,42.923515020080195,42.232199662845076,41.74772676304395,38.92362430251598,38.42868162267957,38.38688269338424,35.279221189385545,33.85727106821562,34.53024188962144,33.684331831699275,30.364646886912393,30.85405832106608,31.33799858695485,31.628642324121497],[32.31177435315122,34.090845293189105,36.7829858452969,34.825368855077926,38.36085597650213,31.87434036510872,32.395264888294655,31.796147541612875,27.89596533368984,29.851005591736705,27.89348753212877,28.162794894873663,32.865703889450025,30.61123119038994,31.776894885446854,34.53400573498151,36.90248301506993,39.5572645911211,43.207026573896464,46.03352615525886,49.08627915789503,53.36955998961039,54.51231000372515,55.60898211062957,53.061128514600135,48.862673970025845,47.48162712768881,43.388745693511424,41.525386203624855,39.5768957224293,37.58173411795487,37.978323000585306,37.82221979992538,41.65330617508424,42.66952874951265,43.28872473367087,43.62549000541927,47.132532413250935,49.02098972385879,54.821979766473156,53.7604078010627,52.427425385935415,56.18842239913484,58.13565499611156,60.67127780868536,61.431693523151516,65.31134699016435,63.199310294647695,60.064598990528275,65.4654123942235,66.30974159387083,62.44019711910005,64.5244855344367,59.085646034714884,62.39050612952965,64.63735131227668,60.99961776618987,58.11887712868394,62.109441710313675,63.558126909196,58.424110295998354,56.715573433978015,53.063908486458864,55.12329036632203,55.39826508643934,51.5619067916149,47.77846888229371,43.978770972494495,41.600047719691766,37.35299808934222,37.383101192749564,37.380967532127556,38.146430685962635,43.13407494607786,41.86815486068693,46.251813743983504,48.23945969680978,48.85087897155337,50.24492039795431,53.745897717179474,52.212175557902675,54.723143898253554,51.38392537892244,54.32594499824574,53.44390530578333,49.88367226415709,50.31345887842411,48.12373359951157,47.328839435522916,46.370092280603686,43.493305135502176,43.48453192623345,39.543680250110434,37.027493747387865,34.2312784634469,31.28377230037949,29.29194336877459,32.539058842624605,31.4852257317499,31.363961902152038,36.67359970043787,38.199576613242506,41.86783101027745,42.5619151684779,48.178784263839425,45.43236725298836,48.436768639997254,50.07806163037633,46.911017072834674,44.36032996925972,40.83454561853241,40.88155929222269,36.51845658172417,38.921147327016556,36.342094138744905,38.67513751187148,39.89167773596102,42.398595922273806,42.94294921706005,39.24332489821132,37.311272116639785,35.01218902059311,36.751623122990765,35.649336948722535,34.12832245088071,39.04267189173332,37.63188171398404,41.92714367741147,44.742310056605525,47.72211942293852,50.16433886456593,53.42836150912629,54.77401660795821,53.136101256262776,51.319218599320536,47.1377648271649,48.01631076174559,45.93967762410193,44.58067301612654,45.46556136392093,48.08875629059339,50.570199547571626,47.04758240164731,45.52682706439952,47.531841920370354,44.111356854280714,42.31815079812336,39.68619952255613,39.65022653064528,35.4349296549558,36.281683487817126,31.585983900844568,33.80115238930542,28.639025984907107,28.816055281401646,32.817015984607345,33.57406463866139,37.01056451273224,38.013243045178,41.79197180676842,44.62278303302114,45.14955623709692,46.81079241362945,50.10554567244685,52.99632246183229,52.87183645418956,55.51297068817133,58.506104805238856,56.41720025721779,52.7577352725286,52.155663952851796,49.19785658364455,50.80424410796927,49.843241111778816,48.720069259998354,47.71329890934509,44.30064779907774,48.445410906834155,50.78317845406072,51.9461389666453,53.4450796562149,49.79776436935047,55.524720632606595,58.859740741664105,56.55331622597326,58.8760461225277,56.74920245636285,61.99687215128837,61.94453154956594,62.9813278318109,64.06156429768379,60.2328807049862,60.32062495895978,58.446341437393905,58.9187458180204,59.69469693716277,55.222453465063126,55.63030887644416,53.25116398358101,49.94857180455099,51.88874542604811,48.261702945465736,45.9246266723119,48.28237320873534,48.36877911515929,43.60869773061804,44.22678613011955,46.54838408350551,44.39035332836088,40.30123304637515,42.366034578360555,42.94060613598414,38.413911405215366,38.21262000419997,41.938551622595895,44.02252213984671,46.13269812286849,50.652717971464476,49.96416708883449,50.99120514061893,56.19248273337051,58.124267445962786,60.517694242519156,58.993764270705476,59.45028968647369,60.776219992870196,57.91913732189788,62.948355820040206,63.06700985628932,58.278014886938905,60.58959707764537,65.27861805227816,62.478427044711495,60.07875253584693,63.127156866453625,64.7316670113696,60.619441695256306,59.366881289066804,55.641621808883926,55.49543134102448,57.59290754013188,55.148256419541546,54.96839968817609,55.02626901183216,51.94214373532949,50.932147390274494,50.617302506146764,48.24640828055798,45.46593332796407,45.898206000465485,44.555288268192015,41.342545482483125,41.46605403045055,45.09670850183752,42.5362919700233,38.70015484137589,42.83576265010708,45.96215060881179,47.57224610827529,50.39332678062488,50.548491729826054,54.91317612555246,53.533922389274636,49.89625466011979,54.191328932823396,56.24810195461999,53.64367635620767,53.709819390314415,59.37456201997976,58.82683162641221,54.71022838433658,57.530374013336974,62.05048682811934,60.26955516645294,57.27530372847188,52.96463156106872,57.27377906796052,53.5757929985192,52.21486693059958,47.64405506085927,46.41195574565904,41.68100840884535,43.706511298482305,46.017940201896565,49.83068146362089,50.216048902829314,49.9737083625857,45.88938017249745,47.65207120927139,43.201810130360094,40.983311606532055,40.90308430203605,40.3863331267652,38.01262792154736,36.93459589911528,36.45838614430707,33.738512818713,32.48634263457979,32.243820466481296,31.396877878820952,28.57200627446455,29.314418301702183,30.0569267473014,30.656256103510703],[36.102845390431185,37.74631865344938,40.388258500167254,37.96133642290124,41.467214251300675,35.174398271710764,35.38183122150167,34.9334430261067,30.70975127768053,32.067091039071094,29.890846887261052,30.49390617798317,34.877059367657495,32.19004710521344,33.076938068912604,36.04641857010577,38.3122388419185,40.5403341617146,43.81564690215331,46.90852838219333,49.640587311365756,54.027338705412596,54.929811674154415,56.10197367908179,53.8465781806264,49.602654332341,48.60768767078151,44.6594928668942,42.87831863450605,41.242166939114625,38.61279152745199,39.67241081492056,39.28756336317327,42.74802494955661,44.03758854660374,44.51998914985854,45.35293393179269,48.58295196335114,50.59090461580281,56.483386839968325,55.17962051772791,53.507726580702986,57.253848209888595,59.26990876919103,61.59615610987734,62.472266203710554,66.31258312307182,64.3343740065924,61.475972288258205,66.9455780224062,67.87600346634132,63.96910889678607,65.96568822497122,60.6123295599976,63.906558532111475,65.83384456013397,62.1164031808818,59.29630884847029,63.09120786437207,64.38690137874296,59.14394263455692,57.250078171747084,53.60509365327871,55.28659932379555,55.78724487954541,52.213699372066486,48.06372023843458,44.47980957192068,41.82203489228304,37.685245496565734,37.49045679479003,36.990741650010975,38.0038431318599,42.97117995493419,42.14166021416438,46.302763595258575,48.74192461453639,49.4126474830044,51.121736083871575,54.75225495554789,53.616719449930585,56.36349010279954,53.385271017279884,56.44213711422061,55.44681298485959,51.72546229392604,51.75306701485619,49.71989450129244,48.42072275901796,47.36682818628001,44.20225130971661,43.74856960442878,39.973808672115204,37.80761599267654,35.292918666623756,32.092658720100296,30.41744137475802,34.17968093090768,33.597534481871534,34.04619944451711,38.98670702587534,41.10384971250484,44.38195108271694,45.539790665899524,51.12929116019942,48.54014603660101,51.789784808919045,53.40295176572713,50.32964670126729,47.774091427729715,44.17073991269256,43.809705408436436,39.323403777549856,41.35190637018408,38.34815451643866,40.4461266610768,41.29111363111296,43.595257065851975,43.631715867977725,40.146147877173625,38.20843358448,36.27454097241102,38.160590142259174,37.47585586479697,36.41134131295942,41.50054115108421,40.658674377874014,44.827667958425,47.833361355301285,50.75096415006595,53.24338267247161,56.62580187640422,57.68906022696786,56.083684441968714,54.049521466389905,49.75430247899332,50.72670967207206,48.28553125385711,46.60039609953939,47.33856213388221,49.50536695536539,51.81521889157446,48.25103518446131,47.05160178052878,49.08426975898319,45.802411939013986,44.166223752989524,41.8066729934778,42.15258859904399,38.116838737803754,39.40027962979496,34.77268170330176,37.23954106032405,32.316767212206926,32.00114794114756,35.82353464622577,36.284845840730924,39.96268580580598,40.49198269064276,44.57379375113351,47.09753244272868,47.20165245897348,48.79108622299512,52.04867478933097,55.02229750728855,54.80954624502256,57.73936627399515,60.65123211275948,58.780586546029554,54.978226619555095,54.55294143705456,51.44697011100634,53.105847114707764,52.21757040880667,51.04397866227996,50.229566749524665,46.577515952403765,50.83878598777467,53.029750411087825,54.444404208958176,55.814685404351074,52.538240750645365,58.22437242271579,61.47069063755461,58.99363688136212,61.003542804512854,58.59666930145351,63.85474653417473,63.55600513460935,64.9302853529561,66.13519443069276,62.42565560635594,62.75127413920118,61.06385494580736,61.74111845384049,62.70977021338196,58.279435168561996,58.93439467428063,56.68494177132469,53.46339757779112,55.65096068334575,52.10691450618322,49.595858380178875,52.009631030582476,52.339226258230674,47.53762003560923,47.89574435403449,50.46473513747034,48.56230411932616,44.25751973636506,46.28349457192539,47.0683432675407,42.56530453620591,42.102536228432854,45.898028251288345,47.839043945897586,50.24021480087252,54.43781488627266,53.90022251388445,55.10995937953255,60.340302829032176,62.38460012764376,64.75984238282192,63.31071589189058,63.675743333977984,65.0025232012768,62.05160304638719,67.04050413922658,67.1604741919649,62.217096496675204,64.50436310698555,69.1805693209137,66.2811170918691,63.78266172668689,66.72856536992148,68.31925832179222,64.19924376539758,62.73836878873412,59.22430403000644,59.10048366111211,61.352597470416214,59.10387453097649,58.957750158740275,59.20141553340374,55.97428718334587,54.90469567224477,54.84317986190616,52.47655732101221,49.54119736105515,50.06640821963177,48.91015016759133,45.698538908682636,45.732804770906306,49.50587705855243,47.04411269936109,43.13897875929159,47.224758026908084,50.43657993827223,51.93367115786478,54.773952496029096,54.81929303395591,59.203965210084206,57.84323861632785,54.03501525589633,58.291537195920604,60.365054487334305,57.69324754366273,57.59192693599895,63.32866656510677,62.74753281315262,58.45643826145082,61.212744345829876,65.81148294995664,63.95979687652373,60.84149156715984,56.43774991961887,60.67028526711156,56.83435568056625,55.736546259909886,51.033193406468776,50.003745751152366,45.232961513907135,46.95001532963382,49.266394877666194,53.01989825015777,53.43106447618852,53.45248604332842,49.22511635423107,51.038671698687175,46.412506215102454,44.5247011962635,44.623405099991125,44.353028345515554,41.871882688369354,40.59324705449694,40.41460390594875,37.821813265703064,36.16661174412828,36.00981192102281,35.510351264979555,32.77357389344587,33.48108198418241,34.32128849893819,34.968194555408594],[33.18859477422855,35.00221524721329,38.00561201397885,35.53980315874258,39.52889151390843,33.428041630818484,34.05244728591996,34.083795333425066,29.961510424291298,31.577498496372915,29.863664028338984,30.797162192974387,34.96305079651276,32.12719869272589,33.68822165043792,36.68229372019972,38.525372940688364,41.106620689602344,44.275027532592155,47.47454604220651,50.26659202096242,54.715826822281066,55.53215084608461,56.43681323537691,54.10512816584069,49.7890111210507,48.75134973949566,44.69445752672035,43.25550863411184,41.767337814366904,39.75780467559107,40.677326566765565,40.77155941139299,44.407794669019005,45.28860989614556,45.48079981219027,46.12345001891279,49.08731008032364,50.82605138064934,56.87013510371694,55.29577679378852,53.92778509536011,57.84965669466159,59.58657156522057,61.833002515467115,62.41978205148337,66.37071153282339,64.59217857887117,61.45083951602784,66.81951417378998,67.99637450792059,64.214538994483,66.51537098770925,61.0887554008611,64.73410908829194,66.68721047501462,62.84509631012188,60.27865672226382,64.26447586358873,65.31860482947887,60.108225887956706,58.56825772374304,55.06040297343592,56.70281748525168,56.88521900619921,53.24792150593818,49.0370218497058,45.50181228640485,42.617975221699844,38.58704262602119,38.181006128164,37.925414445433624,39.26330462545978,44.24373026361524,43.52755813126745,48.09010187934965,50.197952779051064,51.1800680958678,52.5874693581135,55.99660983811532,54.76700054998498,57.174754687047546,54.13003003911311,56.92189293569099,55.685741172348365,52.215696078804015,52.49439074283908,50.75502727609439,49.517031742570985,48.96405015148934,45.76984301432311,45.693333083910474,41.834201047558764,39.61899602549943,36.678213407424636,33.74949171314248,31.561965681828774,35.44622051212938,34.50876528068375,34.971373795311564,39.89127177246436,41.574565645294015,44.92369667154137,45.61103342954344,51.08267599800938,48.057625231883506,51.19585170523721,52.508524460408026,49.16949255026041,46.907597191062685,43.05410144143072,42.97509318003353,38.46519576231091,40.4838296145712,37.796383742082824,39.70368461779925,40.93142771030173,42.97672977262751,43.53960236449323,40.24955758639286,38.00144759167016,35.90213842246097,37.26127028994946,36.45974630975943,35.24941140825328,40.22801495032331,39.30620298077402,43.584200254006376,46.56376608493896,49.82615135969983,51.90088747218829,55.446298602399764,56.591471666510934,55.320394521786774,53.01704507051298,48.69171384527325,49.18736507500692,46.945347108927564,45.26629193730443,46.35829745821041,48.48623403937505,51.13617845360395,47.81895809221968,46.50983746875974,48.84703777002936,45.70470409157958,43.804918027501074,41.581492035490434,41.80704468231696,37.69015025568927,38.937518828901055,34.490866331078344,37.2210404761039,32.34334323031336,32.465735407826415,36.24845939288142,36.55407687330433,39.989580375107415,40.699639835002216,44.33818334902216,46.66084730863392,47.17446925842343,48.30073992238856,51.84742121187874,54.472741623063385,53.84401780173075,56.763351145017545,59.46754497569443,57.37515208795956,53.62283453990112,53.33466366720865,50.43038875672273,52.46119007170011,51.829052777589716,50.96293044010742,50.33074626775579,46.90217777453277,51.368179191827934,53.30376371396706,54.59948901520379,55.628079521646555,52.15782627210947,57.746939341294244,60.949235140322436,58.45100466955824,60.77004772216747,58.59492161819998,63.73580870428165,63.19982047036508,64.43450067673878,65.39131353060677,61.763324892695074,61.79386376675144,59.96576437894175,60.558570744058244,61.3243690923546,56.75548538992634,57.39012539807109,54.90676555956249,51.90982996768454,53.91493235044143,50.559993311404064,47.95904363618945,50.00283624070223,50.4038520834101,45.626881394970276,45.59844535876017,48.13935527473151,46.46950880742085,41.918995769189195,43.689644626316614,44.50157823577271,40.103964221152665,39.321493544680536,42.95185605108341,44.92006865989,47.40155566940382,51.484630305999374,51.218523564088855,52.46520401069252,57.783211133679295,59.71925456690066,62.32140713708933,61.143348734013706,61.64730741293053,63.20242596322665,60.424436038196895,65.42162312118948,65.24670839126766,60.32158203972693,62.859296827580174,67.35586966413659,64.28355289410409,61.946461031431696,65.02692435205809,66.28212230451835,62.06116831426156,60.93224849773696,57.31737635995123,57.64069918983641,59.898304146524175,57.57977002954044,57.74420370206508,58.03481140546031,55.01573819901348,53.63060576728055,53.4493549241201,51.390775505798345,48.356071061682115,48.49461177707694,47.43578051389382,44.252366949710286,43.937072567363025,47.672139825781414,45.278833340451044,41.16847133757694,45.01389591644489,48.28723176557514,49.71593518175448,52.77682899320362,53.00576342739013,57.32840231803166,55.66051298126426,51.83763648227067,56.27705393781234,58.09619869021097,55.28169995002297,55.352569099067374,61.07520618699982,60.18997089478081,55.89874992798003,58.86966987820497,63.32273699205886,61.23360703566712,58.11741211336487,53.65476836720802,57.690337327895435,53.741318987127606,52.628529819298606,48.00666088158941,47.24738760635825,42.51925360281574,44.01353975745375,46.51912371911673,50.23826030079241,50.902803941578696,51.097815040306266,47.13516905286668,49.25699301282627,44.730553719904556,42.67132784693501,43.20630077486734,42.90756920477664,40.78115725832118,39.10314590641432,38.60535066570144,36.32886798816449,34.82500815361336,34.00254731669621,33.516064266269794,31.19407902953867,32.065964253921365,33.086317413134935,33.94182685748815],[31.814765330805788,33.961568042126835,37.43473454906469,35.192950703846556,39.69665957193686,33.78100537710093,34.93775643239145,35.31824903643005,31.474923699640502,33.472217041471744,32.18350443325614,33.21120604280726,37.29169838254252,34.499782417358645,36.55565754488884,39.48609606143876,41.06276486384944,43.951294624795416,47.088623091775574,50.300266365247836,53.1712609622236,57.628024169109025,58.416987810517426,59.114663287783486,56.695691447132816,52.35437732908223,51.22622436036877,47.08644693656992,45.88188349084176,44.422792355961946,42.951836297337415,43.6127626253571,44.015574476811295,47.823902924809445,48.425412492568924,48.491668047207774,48.88461874540214,51.74220392303157,53.25944001318545,59.356644521939515,57.657372136766426,56.583633083706374,60.613466140385874,62.13609841455128,64.35420663589893,64.69873381580234,68.72808205348385,67.081509690162,63.6836381512748,68.94121276796105,70.28018726676085,66.61006874487262,69.13604886931743,63.65512523956042,67.51874157345438,69.56346551125871,65.670283122762,63.25728461886515,67.39188454141318,68.3258836906677,63.17243506506575,61.88550799273726,58.46418530587039,60.141486497796116,60.09792829242586,56.39091596559427,52.214595548875636,48.69477187128359,45.72111516667328,41.77059476736784,41.257235708198856,41.20369198024283,42.716539269989106,47.67947744266141,46.978980056669826,51.77293940609913,53.62402940847248,54.75315547543527,55.934615781539925,59.18217401740705,57.801584136886625,59.93710509006845,56.749938639985,59.330046370364826,57.97801109178887,54.73922027343759,55.28744561173926,53.68474990740408,52.62130446048067,52.360355847714075,49.22997861515912,49.42452378520309,45.50794382777751,43.20306801741969,40.01040157061838,37.289145476567576,34.794172687416086,38.56689322443978,37.302075933883074,37.52465776734019,42.559659894952304,43.73456991008145,47.27916564888559,47.46870372449084,52.84179226815199,49.45443027721155,52.36319972423364,53.448304129122015,49.85937144665995,47.861598500836635,43.87085934711022,44.21542412721886,39.778833173254135,41.90090627358571,39.62518240371695,41.415612903270805,43.024711249348016,44.877332557892124,45.9385964221767,42.79230941330302,40.330378700177,38.062222242272064,38.939324065271464,37.958002431096205,36.513954053007225,41.28236559344984,40.089956187007004,44.47817535677971,47.33117451637987,50.89789645972743,52.56974793662948,56.18888129141121,57.522072811961245,56.52704213530891,54.09596474032196,49.81248645041991,49.83078752835136,47.912375125961574,46.34015143650432,47.783482000887076,49.95466898631451,52.91851042741512,49.83854928980468,48.38664145874345,50.94589219737754,47.897662144546345,45.77165736451684,43.59371973006161,43.60312793825848,39.3987187663123,40.42078224595822,36.119856053617816,38.84625433961614,33.89641665859082,34.562984581944555,38.380320001481586,38.733664813733256,41.87673940033525,42.89742848480743,46.08674890848316,48.35969642242383,49.31067631329822,50.09855351136291,53.85942381715515,56.17416287272986,55.218037943674595,58.0352889789647,60.56133617225044,58.210020939294175,54.56665912244207,54.35725826877239,51.69659670063257,54.01571259303916,53.56689061943971,52.9507563850211,52.378005102107664,49.2046280264219,53.728450233794675,55.54951734673732,56.66744994956001,57.499123078096964,53.76553713148562,59.26826317228484,62.455379164954444,60.01198899660393,62.66211215668904,60.74984855336552,65.78100360597566,65.12266515740197,66.15623987765801,66.86906222671601,63.28978167653898,62.99633873827003,60.99001219716378,61.43001651150564,61.92961545447413,57.23487621530405,57.735888690673015,54.97102185395522,52.169887761959195,53.838744322128036,50.6349628573895,48.07618937221684,49.690428821250784,49.99858103728435,45.312156485947554,45.02338182977269,47.345279896951226,45.74674057244254,41.122742170489495,42.5816478152035,43.23408814219067,38.98958392367742,38.005724672032905,41.29155931754413,43.42143274538897,45.73111793851493,49.92738189864111,49.93119680694944,51.05406632589042,56.44277935439789,58.083446067981974,61.01915008676102,60.106088891988755,60.86542771269044,62.654905101013995,60.147195327982736,65.16416516887747,64.69014647636648,59.92656134001894,62.72485583962504,67.03329448653841,63.85905669748783,61.76371423410986,65.02591342998969,65.93848212267594,61.62824748343436,60.96794921933738,57.15580320397273,57.906836666553595,60.06378441509061,57.5571644359195,57.97313496423536,58.14167140966163,55.433130188309285,53.84364129717869,53.34095637451794,51.550981381282085,48.599191059511945,48.30865878026351,47.161530192595066,44.029319925500026,43.468464800672095,46.97318669157385,44.533819461257075,40.32659842976535,43.91539255938305,47.12127702680646,48.615673442052426,51.9001853778108,52.45000710646634,56.66403957212332,54.636105609889604,50.98937491773645,55.647615538030564,57.152011185400596,54.2342806299002,54.64472381574794,60.270390182471765,59.04168830922331,54.895286819482024,58.157173960997355,62.36384817712744,60.02495366534833,57.00344540198694,52.53652142333011,56.328558984792735,52.30274726844516,51.019340825765205,46.623870225430466,46.128243503009756,41.51409271216485,42.86307898457215,45.60724026053135,49.28650106448504,50.25827003209436,50.529556510169776,46.968325981257415,49.37605471730862,45.06762601209342,42.686832086543184,43.540444860137434,43.05079899198798,41.336293304295076,39.44750745392443,38.44141310648597,36.40895262480917,35.347233343295194,33.814442161164735,33.08704759254202,31.158095252477334,32.19645361612388,33.24305878680337,34.17298862562664],[30.715901314473115,32.55339186463404,35.94940508129404,33.05300421180581,37.66532419531056,32.20913900240653,33.217871033074445,34.14526718668431,30.08495788688273,31.61647106305712,30.573324830159102,32.23503922349436,35.679834620312114,32.41168767502174,34.83873602199902,37.91688296699437,38.95013647948562,41.78234266955173,44.48295688721931,47.95731939720149,50.612643423940455,55.16370988267586,55.68485575336173,56.17729948025582,53.92207472277491,49.52523764411396,48.668798715587144,44.59699250813681,43.80270126065534,42.79518151945945,41.449950830149234,42.54453622400404,43.28674508971145,46.90934754406161,47.263422674715166,46.87712741975865,47.518033979841896,49.802871884719835,51.145586219777215,57.422475942012746,55.25716325252659,54.19584687587987,58.35299458333475,59.64942486678379,61.61033093788674,61.785163308886176,65.85622655940828,64.50517258301487,61.104259868456715,66.2996287599617,67.92990875954918,64.36533797052553,67.09657435926125,61.65371046126787,65.84735827141154,67.61842218545398,63.549957190208474,61.475644869111356,65.62139252957509,66.1627004143411,60.990962152222956,59.95229578511219,56.72112672987211,58.05828636978459,57.83255052980143,54.28785130428176,49.82430871995236,46.554009621527726,43.19494462138564,39.496186207385215,38.6294859327487,38.51640192371949,40.48386738938036,45.3643416557039,45.089682940963876,50.12412481832732,51.90157584165716,53.433007651301054,54.50259394965435,57.575265006574384,56.4594669965556,58.42466995886732,55.555245088489784,57.946814584886006,56.24145156696079,53.1244605628727,53.54842292878591,52.43338982629395,50.98641364354359,51.22746771423768,47.852481684331025,48.15109738781967,44.31443608150207,42.26907904220557,38.860698525582016,36.30492692877589,33.542312875446626,37.83597391615607,36.66120624486171,37.560441601940504,42.04601689647392,43.426394565458516,46.52345072254405,46.77671676924873,51.94552600172219,48.368840610355164,51.48420078140248,52.26224653541211,48.62579976300817,46.87252623591601,42.62000337519414,42.65879208998834,38.1180524335204,39.78709403052869,37.38239872688913,38.76811584858263,40.349844235259766,41.79633786349866,42.90583780667548,40.13683193158002,37.434293248569034,35.34862976444579,35.89511428628512,35.201586977841465,34.10955644996777,38.90066300408797,38.315145562267915,42.57044935379904,45.60654360995942,49.32090479521659,50.73178058886281,54.59026150413033,55.621528465330655,54.935201937930756,52.05262796479989,47.656156467659095,47.449885817573794,45.28933025360778,43.417135451707864,44.96092157330241,46.68918257483693,49.7379425002617,46.85360672448514,45.59323952627479,48.40728437770274,45.642057397314375,43.451682205911005,41.68766571267146,41.98576857337669,37.97247747267235,39.47291972240987,35.50197837407365,38.80924440457496,34.36801035051901,34.76660005646072,38.227727850540184,38.031863999841065,41.171233723508905,41.79822674163343,44.85891146948532,46.573630223374494,47.448239424619715,47.7428468662083,51.68307488169447,53.75800696954926,52.39958179919993,55.46793807453917,57.75032496452745,55.482933791249664,51.75279047036829,51.81585715794202,49.17030505754879,51.81399326269856,51.66415146542502,51.28155955494137,51.1051974365863,47.92527388554361,52.755080306457465,54.123747402981614,55.392810496014825,55.74203696657479,52.27906550798573,57.604931820690005,60.630796581033,57.99654791458447,60.57176248542276,58.60830891235557,63.509428389241606,62.422638484919815,63.64408812923697,64.27432189962518,60.89766680286152,60.62118748952271,58.72500754719256,59.33437916190975,59.9225193989006,55.21741596559244,56.02100411487722,53.31496570871717,50.78351099827487,52.710194692949024,49.78023556283065,46.907920660372525,48.40063662675212,49.15516908334851,44.449719190655046,43.57202108665021,46.285906044345396,45.27917240633444,40.205362898163,41.53215069111227,42.62257008896435,38.4915058985978,36.96827822471989,40.395796522183375,42.18419037321766,45.098267848059116,48.5709375380927,48.84000707012024,50.3448541422219,55.752294815078166,57.69207202144936,60.532827954333435,59.84072259360619,60.41997610697434,62.30441446860621,59.70720396374374,64.62499870915028,64.00011963539511,58.97889773075267,61.852426828517444,66.01668598085509,62.60658667260125,60.43955692896537,63.60250146383291,64.3170408748272,59.97357380787871,59.17410062692182,55.6341912515771,56.67388615968069,59.06434057140993,56.86026092531747,57.55469093666987,58.13014493205536,55.32119533656028,53.373862463491605,53.29144536155009,51.76534059074581,48.431509098727815,48.05811026496321,47.40313627551565,44.32115413326979,43.35532075371077,47.15873865516128,45.0621910520682,40.625471432906714,43.975872348115736,47.41463595817204,48.546672813549364,51.90513236292341,52.255806554230915,56.45729248681129,54.384674528862654,50.37050860687079,54.976630880028445,56.422413387786186,53.35720217449451,53.488329526569636,59.206723535423734,57.86017375271017,53.42534714656603,56.60904500359468,60.888401274361726,58.41344015170119,55.205248273866225,50.617947530786445,54.268566418822864,50.07689643042226,49.21570496343732,44.623549025921164,44.45008540028842,39.82452977876556,40.6758525336588,43.41576065006306,46.97891552345801,48.02674484972402,48.7165869110103,45.08454714867667,47.69581086193816,43.25022523224143,41.257578305448405,42.63684504140474,42.54579218231928,40.92279986941185,38.45324195826212,37.76356869259669,36.17671009629799,34.55182421010783,32.79548471079711,32.72078174504104,31.215068659220275,32.28301285063626,33.68887207933101,34.92182699983068],[28.03414136080158,30.087043842413795,33.90582665087196,31.138395711355454,36.26445862942015,31.236104218064984,32.78516853259568,34.20777263831941,30.522761354587036,32.36925932852539,31.894873485580796,33.7280641804886,36.8866793367054,33.69079045219878,36.709788237446155,39.66509009732725,40.29043517864402,43.465673040480546,46.07630437473743,49.52241907416825,52.252039242304846,56.76535179290333,57.2466272567913,57.45725827487128,55.09933985528216,50.71943299206261,49.7557415393608,45.63408623923674,45.17974584307867,44.27345560298001,43.64794617675035,44.45767536011385,45.636145929387894,49.41118925626339,49.35942718430688,48.75408750688768,49.10495847585476,51.153324424555315,52.18405517104472,58.4887680911692,56.1369837403311,55.46588786457304,59.73383888705618,60.7258310408393,62.62495183325141,62.478995024734516,66.62358261281788,65.46319835220564,61.75953971449983,66.77300340900469,68.6201833599252,65.22943379984892,68.24971493603569,62.77977527654644,67.2663151997387,69.11076370656716,64.98308164378575,63.15844014937947,67.4770210161151,67.8192542004834,62.758634142823105,62.09467931534791,59.02408011267487,60.388830574704826,59.83344763776971,56.22616413141391,51.85694052379589,48.64405629544412,45.21100716209855,41.67586741032604,40.69133456585359,40.89814313107045,43.04356981524217,47.83101423877045,47.56866416941012,52.89659613844073,54.2781201219216,56.03821172717304,56.772527129078846,59.582505456497195,58.31245421708378,59.887881533881426,56.92051683458825,59.00071439113966,57.10737798341915,54.32033128441844,55.06055674681679,54.20112463430831,52.93925723734481,53.630264267240314,50.344288234557105,51.034241506706806,47.159246515796866,45.041925419480066,41.31672232715013,39.091915694866934,35.95086274000484,40.10429077216188,38.57146408217908,39.336881486410256,43.75412123477345,44.580477850524765,47.75296344647625,47.44704987942635,52.39389500924546,48.403447615744696,51.2845930982527,51.72395699307507,47.835960647703786,46.45697713500031,42.041441301723616,42.483266649868604,38.08057574598791,39.75817099209453,37.86911107455175,39.044799978565806,41.067443528027034,42.23500909734195,43.97431313347784,41.43682247543841,38.50842855705086,36.25143192197335,36.1673577678246,35.282701683882415,33.97345151445669,38.42591601393333,37.65030903814924,41.93263161986592,44.82311689512529,48.865985303085196,49.75742477169812,53.71420112443961,54.88169608239062,54.57373262456993,51.48476632701074,47.16332702667963,46.37927014215757,44.578418664010215,42.823803162311826,44.77514810557527,46.51276180900257,49.91702875811384,47.36720712215911,45.95164295968322,49.022159493658,46.4337641841912,43.99052823068817,42.36155842064872,42.44757642090032,38.438234457928516,39.7626894866269,36.11314159454566,39.51372799848365,35.240313735541214,36.134661139867966,39.46833898981307,39.1927948536287,41.94730115647629,42.832120876920925,45.301878344966994,46.82749265984521,48.19663258414491,48.015010604439475,52.19052743687435,53.84210241313587,52.065631388586084,55.01185257719174,57.04112278573516,54.50386247976034,50.92193396191359,51.10732271435224,48.774215078000864,51.77166852096748,51.885309864726516,51.84108076493912,51.812322701033935,48.96685534828212,53.877681802931754,55.00664518230423,56.08264871933629,56.105613879765045,52.42078252666125,57.563662659859226,60.51844737076093,57.93462671170087,60.86736819367008,59.22945457193758,63.94298555130893,62.67279210477174,63.66041091709896,63.98822664470981,60.717832988140344,60.069059457284396,58.0008656655833,58.46246419762476,58.76694823767316,53.95709242147871,54.673027040575974,51.69979853146773,49.467689716550375,51.089022509329276,48.42338045827089,45.536348795628406,46.526455285120086,47.30777204386819,42.740496544312236,41.42935875741861,44.0015807874064,43.2700101480052,38.033771282183146,38.98248502455947,40.04730412750813,36.16244488564978,34.26964160998685,37.36015599677812,39.17781517318738,42.09845994472224,45.419061135833225,46.02935040355713,47.52465678117095,52.97037660680217,54.71961244128796,57.82883772142531,57.4696886107559,58.23340974115367,60.37183324577554,58.03392653163085,62.91079289142099,61.94256782179048,57.0361674277227,60.17799736421056,64.0854142868656,60.525298646102996,58.59935000796117,61.91089781476144,62.215985280340284,57.79274222449287,57.455477168140945,53.79522502405601,55.35169615446983,57.68380229513698,55.3874415250591,56.42415920720588,57.00183012800108,54.504895704310925,52.24572612028623,51.970478848996045,50.82561192549289,47.479263067285295,46.638846215308895,46.07572574021576,43.10199257254306,41.751339301921234,45.38794659352024,43.403997552955765,38.84005201944476,41.799496034565514,45.225722412818605,46.270756119399856,49.845630243735194,50.441101446389744,54.49532730448675,52.0681572063669,48.13476423253922,52.906900066962926,54.009680870945566,50.81683827477956,51.20223599407988,56.814557210117236,55.09925037940232,50.75349179314801,54.19000647205478,58.21954195550931,55.47426341303456,52.32800183456017,47.73467907146448,51.090772787258466,46.81161710885799,45.886576547920235,41.49859607278249,41.67504951169849,37.21128530283049,37.77793821398502,40.737903742763464,44.2045993373467,45.579126070315745,46.43644556433069,43.2468875429154,46.186480349799965,41.99894423713843,39.77728599181093,41.62634242531182,41.45710639317404,40.31874151200318,37.48856056400643,36.37003942414952,35.21445807887107,33.909324937864646,31.362845222252307,31.255612681958517,30.35154719581751,31.57303170261987,33.123265820588315,34.51030008479392],[27.62803410196926,29.120352614013125,32.54274792954804,29.003023510648696,33.93771239292921,29.39425812239507,30.54293870049901,32.38768551755274,28.463840756633793,29.664729996499812,29.3524499937388,31.765879280761023,34.231268066154676,30.60040064127308,33.83763296926692,36.89561539025629,37.023569036585315,40.03943018996265,42.204665304508886,45.865055291278985,48.35307207072315,52.92119054458587,53.15953922295436,53.21828565562107,51.042971442484074,46.642519954389336,45.96539669520283,41.9647207883305,41.86475382488244,41.409452714308664,40.80856644279062,42.08183483929735,43.51309831756509,47.02532286363274,46.78483479695546,45.77136473356066,46.416607849020934,47.91009622225743,48.818495383368244,55.2405924874367,52.48624146466613,51.75620066614456,56.09430737833415,56.91760057491224,58.57523203640242,58.33441790719749,62.48393142807693,61.5670195064828,57.943127173349374,62.91605338704103,64.98565516684384,61.67357345679055,64.81508642408927,59.42163545265579,64.14420852091516,65.69370796594895,61.43479228534253,59.90415382720475,64.17730932506336,64.17619465003511,59.1146276663215,58.64139979605605,55.754446380828156,56.793794012789434,56.104109490215926,52.68286221184189,48.07706801992334,45.12719003456412,41.38755543969763,38.1286186736824,36.83883979490755,36.99014985317193,39.49962211454599,44.14690723524198,44.27428931167274,49.74195165957149,51.06511471626815,53.168297931370475,53.82359430651215,56.47387174486101,55.49975187780581,56.96538538662777,54.368542813290496,56.31053370270432,54.11678825440667,51.402392756736695,51.94650479156076,51.53613405398235,49.87516546801724,50.98929636186266,47.495214022685055,48.246576577238606,44.502686736836615,42.67450744392947,38.837664018208855,36.79140317499775,33.50022950629032,38.094893005395484,36.75037809612563,38.2283751348835,42.001561697455465,43.16532363472778,45.79571944198543,45.71187919204089,50.44032867506647,46.42648835032259,49.57675517554623,49.79559205408976,45.993254746344896,44.76444891421543,40.182293495434685,40.14439571034577,35.66256495949468,36.81350320711495,34.68325152602236,35.46064933982858,37.330212369124034,38.1313566060403,39.79176262691667,37.617010514253266,34.52673140416194,32.518021050554566,32.21391634557136,31.69103660181617,30.847865124388445,35.34215077479909,35.31468303467668,39.37037771243252,42.4737251814532,46.51332891364946,47.2977556615634,51.44005701010642,52.22103890591405,52.11488656726765,48.64119633746665,44.21718411331677,43.39991283563903,41.23282359391704,39.141662119578605,41.05968159213943,42.3298895979111,45.70502521772596,43.29428743044698,42.11552469590384,45.353555849409894,43.03948419076933,40.61848416925601,39.412185529881185,39.857781403838345,36.124711476259925,37.994660753957874,34.690938709115535,38.61658166290652,34.942896758401794,35.38290399785292,38.29261773988891,37.45893288142229,40.257611907797795,40.6385882789933,43.0906456052358,44.05227766753008,45.19496829139473,44.624829980237884,48.883610574583464,50.387810630933124,48.33529383189724,51.55305664058769,53.402600597042934,51.05790507570309,47.359459583899465,47.78676699197038,45.38985306352217,48.5920589805384,48.94055986587145,49.04749459103449,49.394641189741016,46.49019406010449,51.6421213002078,52.34996525939814,53.62363899813015,53.2335274214281,49.93295047983989,54.8981037359166,57.68408903476258,54.90414542194294,57.63506251215099,55.87126476179105,60.471892115581,58.83409965731303,60.06491447800788,60.39739119293695,57.31680829092697,56.80779654425508,54.925073292952526,55.61451783066919,56.11844169451965,51.373725724179955,52.448271297049665,49.67870248537066,47.64331144806177,49.66686796268809,47.22713432976365,44.02950379571194,45.0901840392588,46.3612816013211,41.77531906191533,40.004649308849714,43.064433160942556,42.89896669380533,37.31161677272571,38.27856934405175,39.85985153909907,36.06345546244702,33.76692381419088,37.14725369814666,38.50013854928413,42.092246237919454,44.5869640873398,45.30581519009125,47.23813918927111,52.616880410064674,54.80264252158221,57.61829477778956,57.343813827392765,57.79219755904185,59.890575636803796,57.34750889721572,62.088484865301716,61.120246346974945,55.90745880417856,58.98160929444997,62.819075385254706,59.09021139415081,56.98668735964999,60.09731598292823,60.369789675217426,55.977232054450106,55.27963869503257,52.003121953198566,53.64195427598365,56.236049036265825,54.341683513962685,55.53319439385749,56.564121280672374,53.846823041571255,51.34098682566562,51.63185494056782,50.63264456836678,46.902483411769715,46.18483015108905,46.15541714364163,43.23964922627906,41.623117042954746,45.6278954003252,44.022842923320134,39.34359254138257,42.164752279006535,45.81461633236285,46.45873587316334,49.95558144542295,50.187051064386665,54.25346153792321,51.98572650947509,47.62861413955088,52.199752390813345,53.39912309818149,50.13673059393597,50.062937962196536,55.77902160025856,54.14244184262986,49.45787349778964,52.642267755407,56.85252331500839,54.12049015327289,50.751749234685356,46.06746524999741,49.4011264064634,45.01927058494361,44.629518058224264,39.94475313431671,40.30195738499186,35.81090587735689,35.931142051273945,38.72893220445367,42.07384121909835,43.3557101596182,44.59608753403966,41.160074658881605,44.15180846238255,39.760429565147795,38.107112646085476,40.33059313359159,40.65380407908369,39.44581334646975,36.15304337514753,35.605729454798436,34.8179764223513,32.7698900947132,30.349856248519778,31.03274827999066,30.400475887530536,31.589479202913438,33.46441296521935,35.08286061923238],[25.82667703107862,27.60574743033416,31.496150397801,28.26851178641158,33.71362139925109,29.625166790865194,31.370805357836428,33.58803824890205,30.147569486698966,31.75044081941615,31.929040997151994,34.320129601310676,36.64098623106276,33.233782970622954,36.89405084137855,39.77776182244747,39.64245427168054,42.96418690106982,45.11300168459535,48.66706121863664,51.24678171427567,55.733239052485715,55.97942046046901,55.803440507205885,53.51639901926894,49.173024691037924,48.34952112152053,44.320499463102735,44.467223546213724,44.01549426214808,44.05417095153864,44.963381603993476,46.70250189878496,50.37800758925546,49.82908229016161,48.7177122924979,49.03547503507641,50.41420775532355,51.048743558002684,57.42558009883749,54.59193748447645,54.24476264443312,58.64244313654669,59.20780750841637,60.841829755477406,60.31290333897528,64.5105411727683,63.73492606181281,59.82674096231473,64.60669073622947,66.83331764387593,63.68780554390856,67.06195944031697,61.656895732247825,66.57893458676475,68.2459220196073,63.98160191037821,62.632031022185174,67.04723476871392,66.93224695025384,62.00015561713916,61.8307595709961,59.064610396732135,60.18803378011671,59.23414570996453,55.743087848895605,51.30337921807888,48.37942743712744,44.675726125775206,41.54415294975214,40.23137367626239,40.66547669638529,43.222862142930275,47.77288647455228,47.82927623782792,53.47580870578396,54.45982016800003,56.67654376410646,57.05140930764993,59.484968282805816,58.317229613334085,59.442411684119605,56.697247426485404,58.3663303435166,56.070553544757416,53.67018541710022,54.540638290039716,54.27231541032336,52.87301948465402,54.285790800612844,50.937950971256065,52.006436263574535,48.22691862564687,46.285203405896034,42.24316670376649,40.45338913177843,36.923602964623896,41.2416141472679,39.56356572115933,40.74731801016108,44.56729344980798,45.15267231702069,47.942391232548594,47.29818285643681,51.82396803081265,47.45153523196826,50.29611112336714,50.22197974685744,46.1853724770845,45.31092584996795,40.64773129602176,41.09859075110057,36.82687022255761,38.06791450233147,36.51899137917204,37.15539584219156,39.45501362233831,40.04220701354698,42.3027183352572,40.303227031197395,37.08034898748394,34.896916333702485,34.02845336339229,33.25813161155495,32.129038825039025,36.191917405484126,35.84119819223674,39.91146760132118,42.795214375842654,47.12784396510774,47.39965230918369,51.577718847827235,52.55902743307049,52.796400530070876,49.212513546429804,44.921791153895704,43.524064268458154,41.81447459213525,39.92572211229558,42.2425536066412,43.58721299945575,47.29013652336775,45.209283091348986,43.849234648921616,47.27061358265446,45.097418820947645,42.458004708192156,41.314083082050324,41.48156098029094,37.74708349029355,39.315455176646665,36.28856280546605,40.13841753374554,36.534226755866776,37.502574307644046,40.35867864812683,39.58488757059503,41.98893240893191,42.708008386257724,44.58584768325033,45.46443214795831,47.11347104506354,46.165012284607876,50.597046642752744,51.70437786852141,49.29935086660521,52.32271900067785,53.93338110581532,51.293837062171875,47.79542052311107,48.30466116490482,46.25749155750683,49.7485302799564,50.30854405636512,50.71160013748666,51.12179763025659,48.56604330645006,53.701995284870996,54.266826365609646,55.311111221763866,54.692172941284255,51.12932941419605,55.91398058740802,58.64311692333934,55.967018819136044,59.06685551826845,57.65126673193878,62.065386157707024,60.325205562533725,61.27552552412205,61.305116823564084,58.315533918243695,57.41237892359314,55.33447869117867,55.83037319420694,56.00854420031326,51.17316342922709,52.090137140828155,49.026194147332575,47.28284402895693,48.90755633040547,46.7197911576959,43.58755247915226,44.10157569528666,45.3103806024564,40.91210540572651,38.769336522846814,41.574204052423724,41.61281323476332,35.96638354792851,36.506949158594274,37.96895606260304,34.47020150287248,31.851491726220527,34.772869117509025,36.208777424202985,39.686826073850824,42.1130485396291,43.192841327119126,45.037870763877436,50.44048759759853,52.348707199192596,55.474488566671226,55.54268995610426,56.23623770794896,58.59094847390195,56.36295994861477,61.060384697532406,59.74199600078144,54.725031191514724,58.07554072690494,61.64256637694837,57.800523637397596,55.988956584247305,59.26939090343849,59.120227533208315,54.66034590705279,54.51125716532268,51.06432343289791,53.21695219444449,55.68817615644928,53.640172981730444,55.143331315470476,56.08857895537497,53.73528226291925,50.98285013490261,50.97541246968035,50.33580809715766,46.694741869238975,45.492538319114274,45.46081321537472,42.670893270079155,40.729986818487255,44.46115592720044,42.920512021707374,38.18591453643962,40.59062761492211,44.15617593999773,44.77084151593429,48.47915692671225,49.023421285953006,52.91295057747313,50.2613699281574,46.087081402983195,50.835945749386795,51.65186080714842,48.28302454380237,48.554869325398585,54.109381519163975,52.074838499325686,47.56147439961832,51.042661259489904,54.9356543640505,51.92136334699638,48.66708110223951,44.00735503896544,46.99879035199262,42.53810465880864,42.011140796727105,37.62192303290582,38.35536638890347,34.0902079669676,33.93634405453263,36.990341427710746,40.22039681159559,41.87639572774136,43.23810939200177,40.34773603668009,43.65355245267281,39.609313843657105,37.64049941990145,40.258878474832,40.41017450234059,39.71855112632603,36.19273415115786,35.111575405120824,34.71301695979655,33.15844886639847,29.949651821309832,30.45477504967118,30.385859830435518,31.721269546466125,33.624251849766125,35.331680115696095],[21.86897118394798,23.862478731504787,27.914211667840156,25.153367125324053,30.7093305353902,26.38029790588882,28.476595118148307,30.580343502160698,27.473894110443286,29.60565901383812,29.970552043143062,32.05655603073225,34.614004957117864,31.63325414139563,35.428631783843905,38.1056123918999,38.126868485970725,41.76141489356789,44.28735771126887,47.55893227985783,50.426862053812826,54.79657258625759,55.30124609557185,55.13788674112496,52.58228737301058,48.30433054678648,47.1109515023666,42.967480614307746,42.95945257841911,42.19971287306019,42.687782793838,43.05578835117697,44.91218099276363,48.835086708412405,48.12915982946582,47.19267338533395,47.1048265625083,48.77783205517733,49.3558588013868,55.607256696527116,53.07350657898221,52.97738297214846,57.34128932743885,57.91697368016241,59.78275556051629,59.22728728012374,63.43241640206468,62.46130824396187,58.357350584830115,63.098039215482245,65.171995136859,62.02926467915632,65.4108189451695,59.943441379188336,64.78803934020404,66.74714921584754,62.59248127774616,61.12196607703734,65.66493412318131,65.75801685311026,60.923173779658065,60.824125548093846,58.01687211462606,59.49253552364281,58.42927654489195,54.71301223573898,50.63181654822483,47.49537055569837,44.11407190980491,40.849811635524354,39.80578029705738,40.61722794625158,42.84529298091291,47.414422501362544,47.04935402623408,52.77418604507507,53.45180393434823,55.53356617660525,55.70616250343711,58.07228772024045,56.57118246073496,57.551136909838746,54.499244306579136,56.10354332506551,53.960877166762444,51.66770815188343,52.856541517070454,52.391540623802705,51.43122111751732,52.81676147461925,49.73233334011796,51.085035862440705,47.199994641002334,44.99542000481946,40.82393065964632,39.207999827362045,35.53334707575159,39.390350912912176,37.388734889062746,38.133682491810674,42.16995783262952,42.2850464904157,45.3658149985356,44.354230602982746,48.88980759087696,44.41523931021687,47.03722942705437,47.01192353544517,42.8976758141264,42.01447273769228,37.42755464706655,38.25803485235459,34.109576622126376,35.718840171440206,34.55910648166105,35.465299055834535,38.06744661002859,38.93196255720298,41.56492045943248,39.29394120732107,36.16003052312694,33.649189697443965,32.750547713724885,31.551985805090773,29.952839692258166,33.856218265659905,32.915344529408635,37.124912024933245,39.82804098179479,44.20269975548073,44.47425398828606,48.52855051006436,49.78764713845741,49.94188879397495,46.60823058753026,42.424032995638676,40.99796727732399,39.63974851215894,38.10123422789335,40.507710930055865,42.36705423541482,46.16356122845098,44.04774954332899,42.380577289483064,45.703471459836116,43.36238844738095,40.61996871859556,39.19134460860284,39.01095060233846,35.13213398827199,36.30361889376627,33.268130346601346,36.89400115350993,33.21286763793462,34.563881630738734,37.47905192990746,36.93505295083676,39.10865188659486,40.21812657152194,41.84023202173579,43.02312289828122,45.01633157848355,44.22112873230962,48.634581813334854,49.73421852957544,47.51588066158556,50.24325168647137,51.99735798833722,49.16546652087764,45.79499901716076,46.08306501670851,44.1426623458978,47.514302567683245,47.95695844937753,48.35947264890381,48.56608605653538,46.209824496853734,51.19761001622625,51.92651407250223,52.75458785023594,52.310864935114886,48.4228428374851,53.262094579620985,56.089465648988806,53.58283766329525,56.93287235339,55.74037038999361,60.176307798080714,58.744015312021794,59.38713281922575,59.353388969194675,56.211479038718565,55.12926016551561,52.88071085007527,53.181790488118786,53.19924236976623,48.320800821545134,48.98692365513666,45.80180910448935,43.93655569830674,45.340998651925894,43.04605585505521,40.068620324463076,40.5550253779303,41.52722192679985,37.1305830986596,35.24197856858402,37.83018579708172,37.61280611513563,32.1017018962403,32.6981424198832,33.977340176553064,30.397128902897396,27.97657468360892,30.91407151995145,32.53295572176005,35.77371553509432,38.60172570410028,39.491862832532554,41.173221977486,46.602471142474954,48.44224062227906,51.57943596533953,51.53640862668497,52.302764724010935,54.64353308363766,52.47157737223074,57.229341495605965,55.94223263165682,51.04096043843118,54.40243754904428,58.028215452979886,54.290385317205924,52.54115814811912,55.92632115231206,55.85307743822061,51.384559190638655,51.39492077832039,47.71722190810557,49.801883094055256,52.13155034383115,49.893779740565265,51.34608263833403,52.12562379945085,49.88722713598477,47.195085677769875,46.96920176558914,46.32574463625042,42.81169295046002,41.52105284850538,41.33988900512971,38.55109261974914,36.64916918846913,40.28316176071046,38.66905273875867,33.95018126475149,36.398061393174004,39.92917446188866,40.63994052404974,44.351018765558436,44.98359871275818,48.880485192662086,46.22173716007374,42.16705229009608,46.978629320392535,47.81486442697587,44.49636064588053,44.91890872175542,50.45690930815167,48.48817451277143,44.106322812160485,47.66059193409263,51.53785636473997,48.614986908237675,45.45900209267167,40.85278065195002,44.02776468552434,39.69460588285082,38.83547761858387,34.498717228590856,34.9571835023929,30.64058261911529,30.890302790687564,33.971587200266256,37.34170198028163,38.94005988844472,39.98892802876099,37.18467913786675,40.43610943798746,36.53428864262669,34.21338918259687,36.67424232221477,36.60267394631907,36.030092633802134,32.64931027440841,31.263781159274664,30.805321181286025,29.61507006812521,26.21531559218172,26.427304037009723,26.415048773768778,27.811010639499205,29.699733153495504,31.406683169097764],[23.145091664715736,24.80186202355698,28.313384102530417,25.24049414764994,30.245133859844238,25.33275914792259,26.820868424146212,28.501647038741684,24.87688434034218,26.712366027885185,26.589521118549136,28.652022429746417,31.451014076072592,28.30395595364869,31.721517998970345,34.55501097734659,34.89124792525266,38.30384823130418,40.949451003459444,44.27745797583735,47.126233822062616,51.565703028775424,52.122120466989294,52.202134063682955,49.69606752315259,45.359114436558244,44.232023279485276,40.07471177776393,39.77399369688684,38.936152798935986,38.86327894595181,39.48694079215804,41.06000105453388,44.89290684402561,44.466821415419915,43.666075816541856,43.83139711634729,45.69551588562114,46.55090207843541,52.84598084259646,50.44648530216906,50.00390370777771,54.31173299571425,55.157724851916484,57.09915827770637,56.83329996896901,61.001685216285985,59.84435287754586,55.98534461839134,60.93277776602342,62.81744202983488,59.494692561926804,62.641542500481364,57.16189781532903,61.79608224802644,63.694430732921255,59.559378981393905,57.87451829170348,62.306253093818,62.55903264745825,57.60104543581436,57.206753939085374,54.260868607530284,55.732004038121296,54.909293091520766,51.206796296311616,47.02619594834485,43.80286911664245,40.45044434803515,37.00918710615145,36.05387061136527,36.68250436149098,38.78405026638789,43.470909847508636,43.07298734891028,48.653855179433094,49.60574076621027,51.549658405934636,51.9635814414753,54.54450981223781,53.16939967913053,54.47522108079139,51.50820174255961,53.393227463408785,51.379484602959685,48.76907468183364,49.685991048168376,49.03042357641813,47.88865553922001,48.96690503742587,45.778850680298106,46.88163597023723,42.991252593573414,40.82727393755977,36.80914284298488,34.9623962196449,31.465363046897966,35.530763927281136,33.788113410885856,34.761299846891916,38.8243514755727,39.46689754505758,42.45112272814587,41.9676301465245,46.74518159983082,42.62281628005794,45.553301490024765,45.854760216617315,41.97232860350082,40.692306627048204,36.186075825226126,36.545090980129125,32.15922688159768,33.752284618980326,32.030920562689026,33.15433782736064,35.38249249335302,36.53971911854907,38.64365909627,36.11619107776084,33.12366973223183,30.698460628065718,30.38481115775857,29.3459574609557,27.94496043298447,32.32345823584627,31.631320426745724,35.871115352528925,38.79922828162959,42.87540205506098,43.707979412138684,47.713908755795146,48.80164744924606,48.57170255265419,45.389132453479185,41.06480397435247,40.25994056499109,38.458869301163695,36.75819972659042,38.76470385801607,40.65272360031948,44.13950369213202,41.66325840997317,40.1147832078939,43.23758839102288,40.70216547430925,38.15544042201001,36.59256483025885,36.6406568693093,32.70459758519501,34.14195131252656,30.76936493330505,34.475180820012824,30.67167575623346,31.523126543875037,34.53564283262312,33.966193693745105,36.541742175407315,37.37034039946726,39.57445141280078,40.909753540254925,42.43773303103871,42.072279663818094,46.316341394038865,47.83932072249523,46.02171751128158,48.911846475120065,50.94949055078909,48.39307389764211,44.82149906970873,44.98414182551284,42.68066831709205,45.73366776311112,45.93006472702892,46.01792705332063,46.11961529256743,43.41836008579809,48.41856583275526,49.33334864067624,50.36725307188813,50.19717843016777,46.51793658103176,51.57656273429091,54.48800387323486,51.89453916905145,54.90708398163326,53.38610736991284,58.03274426394412,56.76206706050334,57.643960873362566,57.917004004830005,54.647862629427244,53.94997734252039,51.876500876894745,52.35453041441395,52.69843334213164,47.903513627824196,48.70639551709048,45.822700555040335,43.61592471622156,45.435491772350254,42.84380849011338,39.80717832970855,40.90271419662226,41.917404463167635,37.304911940202,35.86717124569505,38.720248348011154,38.24527193138679,32.817169511195445,33.91071292927528,35.30984814718295,31.38499039370407,29.36266226156794,32.826289995631,34.354480672580486,37.69771324674843,40.62594147395667,41.08866539852412,42.851721634899135,48.248228131343375,50.399157233248125,53.172571606239174,52.74007757939436,53.2414386466721,55.295983338524046,52.78397818928084,57.59562582588616,56.69680631812976,51.59226371332829,54.65368348226473,58.582697172468855,54.98109988238674,52.919092994758756,56.13155023326576,56.528433100403014,52.133706300041936,51.56366651243287,48.04060914538734,49.55407269773478,52.00244250925152,49.906978858190726,51.012107023383535,51.86773249695307,49.237689723463404,46.81980744514143,46.89820831313067,45.85434109265311,42.24720968078518,41.486782682066945,41.292727055822176,38.35728245067899,36.82528807977907,40.76406643485437,39.07304543853558,34.419045896401684,37.34608812488361,40.96733906925125,41.717025254501706,45.18454378739243,45.47364260544115,49.57120238483494,47.34082040021095,43.09508322095694,47.71131437457231,48.976539125502406,45.786565599323744,45.83788281888272,51.54995925255801,50.03018490073622,45.47813453850382,48.707842846091474,52.92890997275368,50.334093819970576,47.06602776975125,42.44114188158319,46.00878531792758,41.77697494591059,41.04937484596415,36.394456076081966,36.40303874089131,31.831669376685266,32.42935506813546,35.22114730593242,38.73140815095073,39.9077669443254,40.78491884211784,37.380214456474036,40.27930027899171,36.000765120536336,33.97723585159768,35.97777032928853,36.07058252234453,34.931129325499406,31.81534292362149,30.99691810850233,30.07908046379949,28.363325785111122,25.83382725159981,26.220571299224602,25.540005658292444,26.78542642761229,28.65501999979822,30.29887207823],[24.878825974542927,26.82128985457717,30.306069336120682,27.81407846257582,32.54281742062007,26.956545424790345,28.376753445091126,29.340892855821306,25.67652860214354,27.837795609909698,27.20812648318804,28.666044104895054,32.22369465629654,29.404492356955508,32.2695431641606,35.08460897151185,36.08061795555747,39.41158176149964,42.47441050408361,45.63569017414341,48.63729686899024,53.04791823153094,53.82864235820171,54.19785604727848,51.60647694727841,47.28329157152778,45.98694106572756,41.76997603007647,40.96981250492458,39.699219768466314,39.18647250361469,39.58753184691929,40.70494453230322,44.670795610969314,44.62358417551133,44.28529058580831,44.377197255588285,46.83720078100705,47.9826186241187,54.15449900327573,52.2029125065101,51.57194318260398,55.75013982838538,56.91582994026318,59.09161421805144,59.100133241734014,63.21432488015227,61.74104638043403,58.00675035582721,63.09374179898638,64.66045825781394,61.17016132016747,64.03956140703683,58.51995101489532,62.78192525627675,64.8762006633184,60.88746479126136,58.81569766525192,63.18437249266108,63.833672885649506,58.81732352413821,58.05568583775107,54.87115350447059,56.60017307334777,56.06839257480001,52.24800408580601,48.21609266177142,44.74489656625219,41.695616102465465,37.93755638792319,37.30445420768509,37.81057788910683,39.50588355868215,44.35438094859384,43.619557381344165,48.927031646614395,50.132625136004705,51.66940834712004,52.3275986560307,55.18400111410543,53.65462164588991,55.27683515815246,52.069197137353946,54.254610378318894,52.6032896952468,49.73372420183674,50.62036142942972,49.44720937244577,48.52744111735174,49.00650602792301,45.94416356122788,46.79337061842582,42.81457904279764,40.44793678078261,36.69152340545259,34.52170398703154,31.353849667873444,35.12568789834384,33.43095188372919,33.89276689807134,38.53112780501748,39.234448593471775,42.615951756102774,42.302923298042906,47.39348907575313,43.57079525016015,46.43396103602026,47.14189331614907,43.37216638669631,41.71491987500987,37.47257591858027,37.94892281035184,33.55349282400022,35.56886645203169,33.70821902848003,35.29143775139297,37.34725765959592,38.97732342778252,40.74394693630872,37.78315261052133,35.070647586461746,32.55969729941559,32.83730182711093,31.64161472258814,30.019685668842385,34.56831083415225,33.396907133982076,37.7804677828844,40.62054502761343,44.45860352402779,45.73157498257341,49.50552565561325,50.80992534784163,50.162347591472965,47.43991973289199,43.164235326974904,42.787308984713825,41.043473867889,39.54202575830956,41.29139013890633,43.541206652905515,46.8083411341856,44.013457662966744,42.37641215346591,45.19029762308965,42.32411665990273,39.92852051723206,37.93561854677599,37.8252879289209,33.66929181986692,34.76565804056213,30.893486905755253,34.0998331753421,29.68126222170513,30.59894955160621,34.047941726966314,33.9928115847097,36.77643144507445,37.855976305887225,40.45142922571071,42.37094187789112,43.76073518898525,44.02061599507174,48.03382311799927,49.946164892827404,48.632187385578185,51.374465370528355,53.72042780766289,51.19887581170515,47.633871232372876,47.51795592810433,45.06465860313836,47.705441749173126,47.53741559566731,47.28342352373568,46.983987940304196,44.12420119301745,48.87212910586253,50.27733799583954,51.27016884514719,51.6440851973495,47.80343032337109,53.11565346977006,56.204666983629686,53.74235977907268,56.681456537142566,55.05922736549412,59.90843352266524,59.05567311514251,59.88777276723681,60.35232369686167,56.86749783087939,56.30313363613199,54.20045764685369,54.59310247620924,54.96902237125457,50.20835152717656,50.78022717494994,47.9298625481127,45.3619574624228,47.065196801185714,44.1120311683998,41.34913167794556,42.74323163305715,43.338305768232566,38.659226358458305,37.922345404688684,40.46698723826249,39.33262012528653,34.338182909511005,35.693849246274176,36.68361928088205,32.52024769693146,31.13129082360572,34.58747276305794,36.45919771348204,39.23547838674728,42.923248987165884,43.04171697808981,44.45547087344345,49.855817578336506,51.79279492137916,54.59694611104138,53.85781269164878,54.47124181944364,56.37223494643244,53.843629924137275,58.78241556145151,58.126565977657734,53.196938798383265,56.11388150938312,60.27042398391621,56.9175702129997,54.83287875387722,58.094912144879935,58.802445336254685,54.45216524924748,53.847941821839974,50.11292152221311,51.1923282896244,53.464126838755554,51.11721015534252,51.85823870549244,52.352250462697945,49.68483857036176,47.682847742781455,47.44409427578679,46.018594923660736,42.72989435313013,42.20305371828531,41.5149528205117,38.45731417407574,37.42143615244468,41.17912247369434,39.1051817967549,34.64069197459906,37.966724505322766,41.41264596668892,42.54238964470214,45.90577003639673,46.30588985856518,50.4911984703451,48.39696593327584,44.44071034220867,49.08280907414281,50.51600522136047,47.484515835093205,47.71658410524318,53.4023832168064,52.09349653313472,47.76387174733165,50.9972595144421,55.240666092755234,52.841063580121265,49.71727501142963,45.193797129418755,48.97646661946275,44.91444823639079,43.81406282598313,39.27654245851089,38.88008404695565,34.24725135008604,35.412516338182826,38.147404616567165,41.79864339790391,42.80440926341916,43.246610327835455,39.74166873666051,42.34700413379244,38.07429895122868,35.760687981614666,37.104805151037574,36.84947317035433,35.42215747345722,32.95967842288446,31.985021833221868,30.44525849544868,29.124809161274637,27.090910737215953,26.827511968399723,25.4643892288295,26.62664197682635,28.12110587907546,29.469475650889596],[28.559106299425103,30.033996876379256,33.09203020243281,29.848818206753762,34.21792391792636,28.858913505239048,29.597013469187118,30.642366292587404,26.438601621853316,27.709075966754416,26.732061510301666,28.652026238937683,31.810797065028613,28.400571195319237,30.97042156065311,34.072106597924055,34.91857587963739,37.76976757852552,40.40316134413874,43.898535040502004,46.547680965599405,51.09979194077887,51.60451942811501,52.0471509936004,49.776497889721625,45.37918839301765,44.53337909058957,40.470806888077625,39.77386946616416,38.89915042914857,37.68485809918637,38.88135666587015,39.818497686849966,43.390197006448005,43.57594174685264,43.015463688553965,43.703766501831055,45.798329903049826,47.08747513434302,53.40214914065893,51.13527274219071,50.09473908652048,54.280591774740046,55.51899420298511,57.452109848522845,57.60168775094394,61.678866259442735,60.35845959645196,56.951837180739055,62.14282150632563,63.81305247234136,60.267430511171305,63.04712469040693,57.61532204307205,61.90517579590532,63.61275814231562,59.50535255036311,57.53035438457928,61.703788834226074,62.142694156273215,56.98845869416338,56.069437559083916,52.91394556276328,54.217968656111225,53.87588176619947,50.33094182495494,45.8643589060842,42.628625266747164,39.22164538233275,35.58218973333807,34.66609654460993,34.69267414502763,36.71743419414625,41.56387218618035,41.31840232294557,46.500633652776315,48.12059828612982,49.80932234334365,50.75577254970219,53.726080995404615,52.6626843242875,54.536832316853115,51.78046133178612,54.10175812014508,52.284054733814735,49.20386613280595,49.603783131361176,48.664638043385835,47.1263616830586,47.60260945182805,44.18529585684905,44.64604990833792,40.81781645728482,38.829752309026375,35.26907614680134,32.87021300154344,29.924796612488876,34.37651877977312,33.21289309686212,34.46291696045672,38.62056989473108,40.122687228544855,42.96739415045724,43.30679831644624,48.382079335861455,44.8141776731925,48.07717617667138,48.79353478923284,45.230675397275306,43.491441638176866,39.18374859175734,38.96709677358976,34.37804943267921,35.863958702021606,33.347897254754415,34.65521956983266,36.19767011622961,37.61185152420763,38.74273060155381,36.01007288713818,33.27027394453511,31.195085059757538,31.7304315492773,31.104376946597412,30.146391580291592,35.0009190708361,34.697470114116065,38.86160438753676,42.000805508560966,45.6611432739837,47.12000189034931,51.02896133085451,51.89228139147527,51.22296173115571,48.233939689388734,43.79384655831891,43.69145270351226,41.35900288974397,39.39958211468372,40.87111374282672,42.55094758722798,45.55970922351228,42.66907571115328,41.4365527885707,44.27301804064532,41.56143227429445,39.37500297099641,37.72254091049531,38.14918389316976,34.235564946477965,35.98571975145196,32.1646864687095,35.76290179929423,31.677392151450707,31.822667848524066,35.0422039115496,34.5536309897723,37.71262238935169,38.117216271064414,41.175785090344306,42.68670460343492,43.47499798306259,43.67604887641378,47.6298212564935,49.69135151821276,48.3249515036099,51.46266276724425,53.752338280343835,51.58098416552905,47.79808774554964,47.88734964984551,45.17451017182464,47.8269965821125,47.72660030990137,47.38087572076297,47.34248326695327,44.143083465184155,49.08259897516059,50.27772743301807,51.61862103745192,51.82419496754091,48.50740101509175,53.784274081722636,56.75920988725726,54.05630796033303,56.550162158860694,54.54581995838272,59.425754349724606,58.27358453008428,59.55368893508752,60.21549273701069,56.8692740596686,56.67633595628918,54.86043672296114,55.56562792846781,56.277492698647194,51.62187888823381,52.57720116129256,50.0213720909293,47.50053999381053,49.682115257789505,46.80104832079704,43.782068795166985,45.43775722673603,46.42311945089528,41.67406310505009,40.705807350790096,43.69323661271551,42.90462941716975,37.69347836180106,39.15813972479503,40.53373850094918,36.37324827572804,34.76325129860337,38.47936934988563,40.01062406853801,43.27534665367557,46.3779758865996,46.54715352910543,48.285293876214766,53.63759374060577,55.9014301545859,58.46936430319699,57.70909215469467,58.050340921155026,59.84266796758196,57.066502749313955,61.92183882378981,61.388882249220465,56.179575402733676,58.94498042367414,63.14111450412564,59.69804351444706,57.3792732824785,60.41416810672751,61.23569157559806,56.93117412779989,55.84465888923267,52.49647194650757,53.439563526304376,55.96549959153284,53.982362049919026,54.68869697380373,55.51871030601543,52.53345172870618,50.49938903184951,50.7719624431626,49.267669520759064,45.7070480737242,45.491489880292995,45.138225581771934,42.0723766064222,41.019989261755455,45.088609688538654,43.21315301126965,38.72867516781071,42.090376991522895,45.67688975892577,46.57874952325854,49.8272790814821,49.89597868633156,54.14045776337018,52.26418723574548,47.98546002611924,52.43034587166138,54.03329186541781,50.97845291080558,50.79011291298835,56.592331262743684,55.42006572313133,50.79645234754652,53.76725539658505,58.21936307857106,55.8684710761393,52.5428466936958,47.93176189161573,51.713748082614835,47.547683773940065,46.92510974424142,42.11741952721419,41.84857856541872,37.15499212171332,37.96185067516426,40.52934177648749,44.086193539370726,44.953278804333614,45.71389978962468,41.84012997087175,44.37420877347725,39.787088070766224,38.087810836690245,39.53929257342755,39.7217491144496,37.97715806705137,35.32402330989465,35.023967441013355,33.55563194093854,31.46152967446618,29.933790017028937,30.305183367548633,28.85147502128289,29.86365653494998,31.4813177535151,32.87040193574972],[28.08060020791427,29.75358297947533,32.6644400536124,30.184827729380995,34.18286701212697,28.104835840088313,28.859974375239577,29.078054837951978,25.056595831109767,26.923173723228803,25.551887771830984,26.617179889591984,30.661210357076236,27.92565426761988,29.985337968948475,32.880458937707125,34.491651622734615,37.452076385943556,40.74825756771109,43.83528746719618,46.824097498401,51.22709559852226,52.137959182479094,52.86895341568284,50.33396614418361,46.02987065974138,44.76176383375567,40.59821025929497,39.304610721415536,37.79481376373319,36.467165954675885,37.04901334388381,37.60360660397833,41.461529888904835,41.90825086984558,41.931982348916975,42.2678431356139,45.13679589862603,46.66813287390283,52.73907381423463,51.12618343944041,50.076399771421194,54.085745002717616,55.63820753399947,57.951683755944835,58.35150950763278,62.36116748007508,60.60208270670561,57.20431419297632,62.48766612573918,63.73429500361195,60.03794296690493,62.53458585820032,57.046520334181004,60.9005003630318,62.986391708803055,59.11558358277034,56.68947313210844,60.870856276009135,61.8390811210877,56.72150269249667,55.50617712101428,52.1064198184534,53.91860054531992,53.77148939341577,49.967522970113734,45.94998086734794,42.33896048838575,39.514147686822774,35.5070452640429,35.13401885083324,35.35958986119879,36.68818598648648,41.6463586549653,40.74002841254805,45.678133097303444,47.29134743226489,48.47601782321942,49.50318694599144,52.676871921174666,51.23775737411593,53.31736736861361,50.143856960683244,52.71456585894826,51.36178790651291,48.105264399358795,48.67875614878799,47.102629753959654,46.09296736828044,45.96203233968972,42.88108771524693,43.31320484622435,39.34176795179912,36.96360788354462,33.59465513564851,31.029639728235438,28.340178899665716,32.10986273084199,30.793479251333228,31.259801951474895,36.087729568515,37.391590547246814,40.76552632661061,41.09322945256031,46.45829317016303,43.18224719051459,46.26661679349775,47.42589680699449,43.99153677631907,41.85796729832804,37.900431840799214,37.951542051228735,33.46326595909306,35.55388694536182,33.146697676378594,35.070324815317576,36.61730353468326,38.67298854721432,39.72848101784009,36.407472190506084,34.04597347012232,31.68289264852291,32.77294116274751,31.723119063627124,30.281631205592202,35.15835090670949,34.08992671968867,38.410927547413834,41.35415373144878,44.73925914200424,46.66514486531913,50.24777554744858,51.445286827883834,50.297328904324075,47.929032692045936,43.625698023559956,43.97518352611958,41.88755402585643,40.34285983351692,41.585392796161905,43.93458342190514,46.76212401666077,43.55582170399574,42.04206718133121,44.478057322443334,41.34991018430838,39.27285480744932,37.02725720952772,37.09091701079905,32.92060914587474,34.1128860065587,29.818372751938064,32.774728201698025,28.10068085730598,28.43620570394875,32.09024555037907,32.244679337096784,35.47291461715434,36.32878165620018,39.63059839695303,41.88575934372423,42.71965704696334,43.647710690859824,47.32427504100894,49.76433226702951,49.03508971367043,51.83301967855517,54.51236469268937,52.29234195515253,48.60527274940476,48.283277655585955,45.48798237390132,47.62590161293958,47.08552824774138,46.390899223811765,45.832361438977,42.603650793300865,47.173598912315796,48.94929928118393,50.121700414152876,50.975419451684424,47.34655713003196,52.88050479831104,56.07240696684482,53.607444857010705,56.14852313297163,54.18397258836938,59.25510760116246,58.722345671372224,59.75959412729103,60.58008902629659,56.941666476966994,56.796257151545404,54.876088657589065,55.39864923449587,56.07989652238826,51.4760237391649,52.08762241719482,49.56374368946686,46.617176529725015,48.625940773322405,45.34079684082964,42.674015961798204,44.674901146428546,45.16451282443078,40.37691458383029,40.26056949296993,42.882137132039425,41.352479950874944,36.689468322054175,38.49401706347223,39.44395809490355,35.04221510507253,34.19084248155378,37.96456433599516,39.81394387043347,42.46931985675579,46.3776853538326,46.057440227665076,47.41886878891696,52.71905288673228,54.831736172294995,57.305895113815836,56.1453092747195,56.55226944803159,58.12514280769674,55.31403807446487,60.28419865554849,60.06468289131758,55.06663702206936,57.630788098655344,62.08922528097636,58.97157898958144,56.625626447055005,59.709784112135516,60.92806147385193,56.70284606587272,55.58394078355532,51.969797620348054,52.37860269912249,54.668587627835926,52.40177098741768,52.68763398242434,53.119976159138105,50.1090411509989,48.54764270682184,48.488283464731666,46.577075108740424,43.380335004307696,43.44085915910158,42.58844654293463,39.4265372301515,38.92748820021058,42.809084162511844,40.58818158533583,36.36909939977529,40.15047126984974,43.54286220970367,44.800642924057755,47.856725825482606,47.978013737776,52.30538008085325,50.66341592360421,46.6931363900209,51.097823964794344,52.937123754209004,50.10472368213701,50.06950898671912,55.82226966160746,54.975561973642165,50.619076712221535,53.5380273561728,58.033245044188575,55.98957785229891,52.845569382276686,48.3893988785666,52.501451482342084,48.60423509633253,47.52624672098421,42.83343430259605,41.987385387959016,37.23709397260528,38.79091328231228,41.23125332650199,44.967783570199586,45.570522610208094,45.739247796830995,41.76412662198225,43.91427534865326,39.410298161562395,37.331456674925704,38.00000070775533,37.78411778604266,35.758544786458785,33.86884837870993,33.396431770542,31.280124349857278,29.661381771062633,28.703051606909867,28.398888194280214,26.245129979221613,27.167199109738917,28.411432631265082,29.488762884205567],[33.79191640123233,35.162540706659094,37.71055897499302,34.74685862133445,38.31225274478593,32.360192467667275,32.43443612471548,32.469391099302406,28.015274444113484,28.9953779258292,27.04407935595332,28.274705776975118,32.107491400650964,28.95907090061121,30.276733329990165,33.415095381095924,35.17173474668892,37.43946984833268,40.38417651167821,43.72226680453864,46.32372516282302,50.82079180416887,51.51329820296489,52.483966776345504,50.31478135603632,45.99144331223418,45.18477451919242,41.244191207362285,39.833766695440204,38.58864100061028,36.17747454913116,37.593352116613566,37.630555415922736,40.99735278339135,41.96558275395325,41.993289843143955,43.001121459299384,45.71641318296763,47.54495491676083,53.638732776092894,51.90943399156793,50.29564722823408,54.19549351085177,55.987447952214744,58.11524039915016,58.815756679317836,62.72023393142548,60.992477432980664,58.06828558733124,63.49373339800358,64.6922874958238,60.87807210673846,63.10436892618189,57.74821524604042,61.39859455385503,63.11566809122694,59.217940823527734,56.71714972150377,60.58550013563295,61.514784427816686,56.24613763587396,54.63537636281844,51.16291855533227,52.58181564839487,52.848454628390236,49.3606588141957,44.9528603447089,41.543425516362696,38.51393172116801,34.55144822912862,34.03721895075436,33.56485452216599,35.01161380191018,39.97121965656606,39.490051353231074,44.007463742511646,46.28894469784795,47.389914849767884,48.92084974504518,52.36293973692726,51.417398488388024,53.95261889619705,51.21976681658081,54.075845434913866,52.73502602285097,49.1428515656494,49.11720941949214,47.550923589670404,45.93551287091065,45.43568458723788,42.03549587612133,41.792251389824955,38.02628874883458,36.050111588017025,33.1947138005683,30.18474407613603,28.107279944867976,32.421622623889,31.837492165051057,32.941115150666064,37.388216460085154,39.62789280255076,42.52370432984046,43.66968230174824,49.08305562028967,46.265244159137055,49.7016003954302,51.0245077076873,47.88309027723212,45.5485766326283,41.68356905666872,41.07204839471692,36.46763377106725,38.128116597053626,35.01368581843523,36.79152660360753,37.65352978500611,39.64429696923707,39.78237098096685,36.57595474665971,34.393548280904206,32.558556078505156,34.17626981970789,33.70058587263757,32.90492116242568,38.04678306777364,37.69988834681112,41.78052045687641,44.9527039931907,48.022985942761466,50.28548679282421,53.88576323028804,54.70224043428957,53.37418837849315,50.93655821303606,46.53072301363873,47.31423484240892,44.67340917311522,42.74965430252702,43.57912829314392,45.42486435343771,47.83503869161136,44.42076966928328,43.3456752319523,45.62097985642078,42.56160494758266,40.83153701725631,38.81128717135634,39.39314615395285,35.4856092103969,37.200334257716094,32.85660894165041,35.9184990386459,31.46128451917635,30.953898962972076,34.45332958657369,34.37566326181585,38.042537666250155,38.24442989674424,42.18070458835908,44.214404176870225,44.30271485800718,45.44257779499098,48.893970234451935,51.64787824018027,51.08567737056646,54.219099590127605,56.93765534623934,55.118379432396424,51.240022943009066,51.03061404266681,47.93497413718033,49.887328905093696,49.266612973052894,48.320969184639516,47.86906072177216,44.227107390980365,48.81459680611506,50.576481751942055,52.10862713282939,53.024448847557245,49.941616759458576,55.48776054870769,58.60402949698418,55.958793708880556,57.9501796564224,55.52606011667458,60.68101226972432,60.013929927637164,61.51977868417189,62.636568203994464,59.08402949749254,59.39905482327302,57.78706166694342,58.599222697627035,59.634297973777876,55.18196873060927,56.09002052443639,53.88322132601083,50.88341421717193,53.296642378067716,49.98407352318466,47.190437481497625,49.51039402128663,50.22529895972608,45.39218588580232,45.26168589484858,48.17186118201464,46.77037150485104,42.0697115136903,44.00821315148478,45.16940764949574,40.742185013861466,39.84726650441826,43.79253114572308,45.44649495523141,48.35837983382889,51.958944066252954,51.61425283292708,53.15307569054765,58.40297361103883,60.722200763825995,63.00238657603459,61.73972187558379,61.940610706499776,63.355131879096504,60.32131256743208,65.23186436959584,65.21392699990143,60.03478342843881,62.39381916569599,66.95007905280157,63.841783668047064,61.27666933197255,64.1442569909823,65.57050283718128,61.41856500477137,59.83364820117918,56.54235957725855,56.66955895181452,59.129435685026586,57.13972863071202,57.25522770297718,57.87116958688534,54.55909987422216,53.142296221417105,53.45529820218418,51.34189261906511,48.03983298965253,48.47481401765481,47.766810175812076,44.590044797914935,44.244814165846655,48.30349016900839,46.14872887130692,42.01228947358748,45.90313278661472,49.3370845007962,50.511523350756065,53.42322522669792,53.28849007809021,57.673091932458675,56.27223357456684,52.12811389446372,56.34494255604036,58.377447900253195,55.57843906475106,55.22708550424181,61.054251583172075,60.38696854713545,55.845705241748675,58.525961093997516,63.199346805503836,61.25005530491878,57.974152416414036,53.47457204716978,57.62022238893598,53.66856943122242,52.91279504589094,48.03458445578969,47.22714462322494,42.434189788000836,43.78637470910893,46.07299721610117,49.74250495430369,50.18622825481175,50.533208181538406,46.223370037927666,48.20220153479051,43.44493576305579,41.87896403833608,42.43303664902601,42.515629367714006,40.12117358338965,38.30333843532127,38.40224250314466,36.199456315034624,34.03044372197299,33.68218858081859,33.749294870994284,31.379372713260423,32.13189730740599,33.328808581707584,34.29053946618142],[32.5943933037136,33.83086133829326,36.00567523176016,33.382988007864334,36.46028110604934,30.188395982291226,30.051556511946057,29.5318547341063,25.176191687706485,26.34552988764158,24.113407043237657,24.81813024639617,29.10070024544272,26.416417931631756,27.358070071252776,30.325255492955346,32.553368503954644,34.88076395963911,38.27027284613368,41.285411406643874,44.12795804177883,48.48908944729498,49.47595434978227,50.6208425072378,48.25224197627052,44.02542751362838,42.913058910890825,38.93428192857058,37.139071449582566,35.504825237202766,33.07199007968443,34.088000438221556,33.93183161943578,37.47138287687624,38.54068267789083,38.908684192220235,39.687198149556494,42.85381821639409,44.82524831733449,50.73218703399525,49.43064915006331,47.83030692385497,51.600181542230544,53.58063910426158,55.96429262078444,56.82539565290414,60.67006832311592,58.64729833917712,55.73484580537927,61.202148960367666,62.1144254894295,58.214946729543634,60.25764834224444,54.8826099089393,58.26028689903416,60.21554372058725,56.478169012541045,53.71226240856557,57.5963976510208,58.85192971474338,53.63799427555967,51.89177874912752,48.29253686046614,50.079458843360584,50.41002455258135,46.73384965296775,42.69074861702914,39.0306886461824,36.446101616993296,32.26478717918411,32.1575779021267,31.950004649391794,32.86052286436602,37.85080577869577,36.86381262621815,41.27634499044829,43.433360139112864,44.24497224596438,45.75236108055234,49.27416331562813,48.08278434621961,50.712593797937636,47.75485777809913,50.74757123638092,49.68649894492839,45.995780372152375,46.075777075105286,44.145410898301286,42.87190705688423,42.05584325049782,38.896220596354645,38.740968649537294,34.87308498395151,32.62888313298618,29.84728218613427,26.804260827248292,24.85310900506842,28.716537807157458,28.069599554919797,28.832930125776222,33.532350089732034,35.750152694911726,38.83633729184874,40.068507303265875,45.6064577578199,43.04892327755341,46.43901268801483,48.039933801213614,45.07890584723291,42.48226311789135,38.88474739858445,38.274147847888166,33.76535867038897,35.71062216825989,32.61702666124848,34.77741960440565,35.59043383557331,38.01680733773283,38.109149076291786,34.51041291344142,32.622616363556055,30.610306805901068,32.62594864250825,31.9024927762227,30.8758419668741,36.00009334210261,35.31831243946824,39.385916266448795,42.456035645837936,45.25118243118689,47.86959342001485,51.24160377260652,52.173685823127215,50.517839850191166,48.47491841434506,44.17480347850828,45.34836060256067,42.78957383766407,41.12141978880748,41.72581442382011,44.003226294528396,46.23722160225353,42.61688042279074,41.36416189039614,43.33531716564367,40.02405497902756,38.40286253888631,36.03496734560459,36.44392484377791,32.469133568646555,33.94156684498643,29.391772890917707,32.12847766267822,27.544975121890904,26.911922790129143,30.535927841200564,30.742972889598644,34.47525060517542,34.82965620181321,38.95180898928926,41.38116187024559,41.421598347653934,43.03964312112779,46.2654997509074,49.27583565490933,49.17542046755906,52.08982913292951,55.07338557528673,53.29319601932631,49.47670988097932,48.994659155418944,45.818257173375876,47.38449708197128,46.47575954821907,45.29495087713706,44.551239249346715,40.87964171509352,45.23802781558708,47.31294250684944,48.769800094867946,50.06763356385415,46.88390468736044,52.55256731963586,55.77553204595633,53.26937268771653,55.22586688186335,52.81173026329258,58.07086282201855,57.81559045472299,59.17552422319742,60.42129108467678,56.69580093432371,57.09980441095259,55.476745469052396,56.2187076523786,57.30830595065156,52.956814473842726,53.718730014657226,51.6537461308583,48.388700051669474,50.83456747219322,47.30191208452284,44.68566256776829,47.33417098581992,47.853918473693646,43.0218441659661,43.41799363408043,46.22333098170464,44.478699166817336,40.12868988358581,42.354824893063586,43.400270070010784,38.86339988330702,38.42760416800693,42.52624232158299,44.20373824214951,46.90120652216703,50.75673361647071,50.033518633704745,51.45474089635536,56.587474784046584,58.99552326398695,61.0207751906045,59.45381192996807,59.542574534744126,60.73465226895293,57.57741765379914,62.49287080760834,62.75325814943849,57.6313490980976,59.76271989916039,64.49365114731901,61.60653818301052,58.940441303128225,61.73845741016377,63.49851542437793,59.45311789195684,57.670991918916016,54.34700731713334,54.0343744917525,56.40278453221825,54.37917535181236,54.201498825574795,54.706509921089115,51.27218576456551,50.150489664561064,50.473708300605445,48.09834256824935,44.93207760533828,45.678573239392605,44.832978074173,41.63795377291713,41.63630239779805,45.69262824215007,43.47426642431056,39.55397365373785,43.68396064611345,47.038365025831155,48.29009961262412,50.9657851235775,50.678939926858384,55.11087987706235,54.01275034391518,49.94514487460495,53.987730196995884,56.267331103314426,53.648835738615055,53.19790305296105,58.99845078067399,58.66609500679902,54.22023010189364,56.70903662801363,61.486887298452416,59.832304069281186,56.62903316314559,52.25507405658069,56.662101540636996,52.93207667183627,52.03146641394815,47.147027356951185,45.916006860418285,41.107701304101674,42.89774001028578,44.96836778945962,48.711324144313814,48.864523056950546,48.856990930445015,44.36870076172092,46.006597734391896,41.265353990808975,39.66209820385378,39.696553349058945,39.68868183400782,37.024477526958954,35.6701274243903,35.93168449432772,33.38363503493251,31.25126878399423,31.509645147099892,31.417992931832533,28.62993083058124,29.249773893680672,30.282687962427282,31.078034151440217],[36.675670561943235,37.87081876822755,39.79938259056049,37.36778480535257,40.02665518643231,33.627716341911544,33.177730223366545,32.12969135705589,27.840681150790108,28.800802404212057,26.112158369847496,26.313268887746965,30.83881435007319,28.449163431878926,28.547696280468166,31.403836349226786,34.14475908763263,36.03209087399194,39.52829064072228,42.371406799588854,45.127772735772055,49.37562864950323,50.46684097787757,51.918526670313916,49.65104593870781,45.54558835065344,44.47834010800993,40.66119364343285,38.46949324450838,36.63422276778953,33.48034087636305,34.589620367333644,33.79121215660384,37.105408842731094,38.707937441861894,39.4836911241779,40.44288692550664,43.956988942496444,46.22931538112942,51.8972084948851,50.95358467954805,49.027485789336495,52.55897092901912,54.859051343757265,57.3331704729662,58.515497302339114,62.214188672783955,59.96569047783295,57.37969263686662,62.92586703633524,63.54374095225288,59.52008608744001,61.19528684426653,55.92752603126514,58.852498925297596,60.80101305724738,57.242853256144585,54.16551599267356,57.8045441377297,59.37326257376191,54.14877718104421,51.968389910398294,48.20504187492116,50.052316090649676,50.78391004090694,47.199592910181416,43.27676116291518,39.57919262304425,37.31712686987324,33.052163866431826,33.216926745700086,32.696396725789135,33.17816164827865,38.09979503186153,36.960419412578844,40.80309124765975,43.374543123364155,43.748353629223885,45.63577365649423,49.42455201975162,48.319145863396066,51.34708315854379,48.43731264864553,51.7308049888679,50.99425255983468,47.04258439835923,46.855229313357114,44.53342351082006,43.249162003730945,41.76380476391057,38.69649978589073,38.04301282321319,34.30594900022945,32.11404050328104,29.953019728530535,26.576978270772642,25.380345228976445,28.9221240174522,28.706440987816883,29.28844177647162,34.05686309783078,36.69021592062549,39.75248804009384,41.46359006495421,47.10551645755901,45.05187553004571,48.470863808022166,50.40511471704453,47.72750608204013,44.840258985121274,41.57482256183419,40.77158868991007,36.37770058395351,38.37106414383455,35.03980683950102,37.394914936819426,37.805317980245185,40.487701335346934,40.01254019803716,36.23510843219464,34.73365129121159,32.93074718579085,35.46383650115218,34.84779342789054,33.941031679162776,39.06813933511612,38.373416249886496,42.30594391021498,45.32777820478712,47.74859356758013,50.76873643299196,53.92072926516637,54.823175763892976,52.81387403950287,51.11964220625976,46.90901615745504,48.531913165249144,45.85631770355626,44.23323976259979,44.49064039231686,46.80899195396368,48.68169002430862,44.83309316443296,43.696789146681006,45.306660386744504,41.858461091102335,40.543884828250114,38.01678741054511,38.49865686080272,34.64313726389002,36.02838673868725,31.316236397035745,33.58437076342787,28.915822889422138,27.896269311889043,31.57613179187089,32.075737847551835,36.00045750390216,36.23559343452289,40.787060120406984,43.486023273868156,43.11393615054828,45.25753079493758,48.12990285285582,51.49668705605673,51.8483448391397,54.72180784424157,57.904698775082714,56.331968129564274,52.51058718753988,51.8763922950328,48.54113436739699,49.69103493126296,48.492984994954575,46.972430297676176,45.978383721547225,42.10815995409066,46.14288314184353,48.555458280048086,50.10056787698512,51.82357835458058,48.820948422365525,54.56644574600766,57.835195841343584,55.397533897213755,57.03811728401234,54.40634287421503,59.768534004391654,59.80549370629976,61.28009136188625,62.77357658262975,58.967510595640384,59.65259271057194,58.15815175301286,58.947134403419184,60.19703886690718,56.00210891554067,56.72275933027883,54.860907868936486,51.38073577600141,53.904013278467936,50.182437934574594,47.738171669478106,50.68670422182971,51.04372914607032,46.24359575163113,47.06233927162425,49.77449868237399,47.72669701900163,43.71395382294351,46.12504760260841,47.03237794980574,42.439277953007505,42.35152154821764,46.4784142197708,48.21070678468543,50.68780927920851,54.77114612713219,53.81364746212791,55.105465292538675,60.1429084144625,62.533817185421384,64.41594747227255,62.59615767913434,62.62493413819847,63.60369404903184,60.344892154555254,65.24881650363189,65.78712746295984,60.74166034578606,62.63594564467003,67.52265245504482,64.84427369117708,62.077601168919294,64.76730373178155,66.8346899345087,62.899241347184415,60.883723473264915,57.61268019016362,56.8670436068759,59.16353905736169,57.14484511643362,56.63243445746171,56.989369485679816,53.42204058744546,52.67914755621688,52.995659010266614,50.30315483460297,47.35637054976333,48.44646804747263,47.39455092170456,44.19611644639246,44.59070236211307,48.55198554404606,46.200866841525446,42.54943857456566,46.88161219754623,50.093457911306444,51.48968779757338,53.9588763557065,53.58485523816877,58.03719884864123,57.19565583659771,53.26410816328629,57.15057123512496,59.625106056422986,57.164507213860034,56.65484738216925,62.40929945431276,62.33070877719753,57.97424915751094,60.307216367015236,65.15231890024447,63.70483918642164,60.55534370718088,56.269422952537845,60.8107948853957,57.20056730497017,56.23277187559659,51.36376248993789,49.90541588215186,45.11124075344784,47.122373815170505,49.05726111403026,52.816084973910684,52.77944628774871,52.5697532177575,47.933585558885746,49.27082057734334,44.52424870266891,43.00434453947689,42.56339491420302,42.483629690385854,39.526069410207434,38.67767696451778,39.118213656871866,36.24172124166325,34.1656418427302,35.00187278945116,34.73799267189073,31.574203055435003,32.03059529409596,32.77840411929982,33.27727056835863],[35.188117201707506,36.02339879490782,37.560095050239035,34.86130019435115,37.14323203236098,30.907512202900858,30.079181402505377,29.034418400368022,24.586512736302137,25.14870122136314,22.343069474315612,22.74240682807214,27.025132869237495,24.508597622794742,24.525772487516008,27.447602606035087,30.112539514497545,31.933233771187716,35.39831807377739,38.26225149242398,41.00838575837026,45.27102195346484,46.35240004417411,47.79474534651569,45.52386291485748,41.41934004468223,40.37945866484795,36.59037176786328,34.42364537322352,32.705270710217675,29.512211045013334,30.82266060013137,30.164901682692143,33.424882415404085,34.907758017686014,35.52056422571777,36.6003994572607,39.94998343877454,42.2191509594099,47.931115991361324,46.89631860144451,44.93221407064951,48.48569589364675,50.76349616107686,53.212126546673026,54.40458337318418,58.097333444688864,55.86668755818837,53.313318472358155,58.86846827351622,59.51325127731968,55.49423421079555,57.19823700350977,51.93669673653846,54.95207918156051,56.818683296212384,53.20808893799858,50.21264711140659,53.877556429128376,55.344239200402214,50.10774794063806,48.01320419144644,44.29582749103061,46.10744764055112,46.749089852115496,43.15854345979675,39.20098831379763,35.50784924197741,33.21020734314084,28.94327321590918,29.11338100056149,28.687038317767687,29.157609673803698,34.099398270009914,32.96979136167829,36.98638813391346,39.44886237738242,39.98871221408913,41.79057284019502,45.51845399458239,44.496289107305,47.48322882059179,44.714470077740046,47.97404646524136,47.12957799842194,43.1659993662553,42.89669774707189,40.735223344682005,39.2981824820181,38.01774024456242,34.84542991674594,34.32372730086808,30.54787705191549,28.40715882422324,26.085415252036135,22.759338065244833,21.42428258048577,25.259140007704424,25.161749246252104,26.247481687241216,30.634312466485934,33.54447985760297,36.28847860400268,38.20012728048223,43.76151623294956,41.77531813196917,45.37197101010829,47.26241292753328,44.70918436008216,41.81713733258583,38.542269480447935,37.40836233922525,32.98887873668137,34.76903320938542,31.242491548184656,33.55653155338002,33.80950955712141,36.51763720019158,35.92520214184753,32.13111080802703,30.68404536336471,28.95242660799952,31.639608302925744,31.13666306870849,30.425681921701116,35.58729325882009,35.21794886656673,38.99280595816884,42.108158885669546,44.406106852130534,47.51418242519074,50.68904577385641,51.39266576089959,49.37600991848923,47.597249617315896,43.36394049688723,45.15962019366483,42.29163388084205,40.58802075583616,40.68881662950634,42.94069729546974,44.69402484049435,40.80130169112643,39.726851028813975,41.29310789422891,37.87929337615453,36.632218522107074,34.20411203117819,34.86827629063466,31.153308815133315,32.83951974416685,28.26790877689576,30.84242528819792,26.60590293082025,25.156899251318865,28.55632485259846,28.71468857668856,32.742292461494756,32.65935943651546,37.3179798552517,39.81258085842679,39.254365869681685,41.37920453118038,44.21205142828696,47.616661519735,48.018245515111374,50.9622369831181,54.16001595480934,52.72757285027001,48.86630235201402,48.249081693903996,44.82805046005739,45.92516609912418,44.7472702863904,43.220190050364536,42.3630172804729,38.41263097789138,42.57237050443745,44.816512477487436,46.47458461008497,48.07165193676051,45.27188046939867,50.96715501114331,54.17674108298664,51.66323714068993,53.16744795790408,50.45238558486356,55.80560207964589,55.785605290137845,57.34877717606581,58.90181861077114,55.13312999496047,55.94482620111888,54.56090363688036,55.462712414633764,56.85894979210838,52.75035995428742,53.632345586414694,51.95754487336056,48.49734701996693,51.28494372283914,47.6304044444015,45.05623822296851,48.173479758307515,48.76009862449752,43.9570316150183,44.70006843888182,47.653345190939476,45.836588241615736,41.74158258814972,44.26250037845669,45.42930552310919,40.863696076975764,40.702173834831584,45.03447892534814,46.50925956535637,49.28730379757608,52.976993074759214,51.943725763883066,53.44988411789771,58.40016999891322,61.090436567078044,62.703676091461055,60.84355237932423,60.63722168540546,61.52357659915894,58.096347190971464,62.91181718260567,63.53803266388148,58.32082822163831,60.09376346630687,64.99095392765426,62.287883103965854,59.37690135805942,61.91397087800331,64.08406758298314,60.21407752360397,57.9032987939948,54.86028867592851,53.998057780667615,56.429905450351754,54.65898631865919,54.156072191609745,54.78555647635406,51.03538165791557,50.213075698377324,50.91111702463966,48.24933273217169,45.07592985919914,46.341806022205226,45.61052108389505,42.45073004277409,42.76243663288665,46.959755099908975,44.85124194642967,41.18093080731451,45.47989763909867,48.81120404762166,49.968327778781926,52.31733685529077,51.662804858704156,56.13305423096929,55.484179971715754,51.3160429364916,55.013324366461475,57.626610272385825,55.18921486586827,54.366084581905625,60.165652305746605,60.25280760216971,55.74211510442185,57.84604092524082,62.826746643356906,61.50396829426139,58.26375596368842,53.99206374068146,58.6106886121999,55.05475480257554,54.3231180765358,49.31199031438482,47.78202464397321,42.989133870919204,44.93702620943952,46.67277812704247,50.37594174525812,50.15583694175813,50.01365442579501,45.168606876597714,46.383170521483585,41.525011057674554,40.34747304797318,39.931998077102634,40.14395269492645,37.04640315758731,36.06331233484379,36.93578741504203,34.18315707541439,31.622947169338737,32.79395686389604,32.96202499328271,29.850138528541084,30.23358158095807,31.166364178256295,31.802279922292747],[34.729591122418135,35.25010015013599,36.55112162428383,33.381534646257606,35.490467276411515,29.607818969498133,28.458068506758455,27.73029071831568,23.04323577280417,22.99724571116157,20.212465302011264,21.207918873238835,24.8862431659853,21.8982156012058,22.03417481230407,25.157463634822133,27.439448900236744,29.112357531422845,32.26058626504913,35.361567732414386,37.937169033195524,42.30683432429372,43.19945221041094,44.55377037120711,42.40815164694882,38.239410331150744,37.43050753136045,33.699626173056544,31.77947720807699,30.446685851979,27.17706248723466,29.00826452223092,28.615371970479416,31.660650274676925,32.96532595512371,33.1834624512961,34.56917674774327,37.45386791542576,39.653526150411146,45.52097604810816,44.14017269662201,42.092029192040386,45.739467254513315,47.90400016071872,50.176608980924115,51.313742088343,55.02994180164878,52.97672635024416,50.47832870109458,56.03478626375391,56.858670711952115,52.880850874104695,54.69836481951763,49.46367249734799,52.712583816282375,54.33904437399581,50.583298700854485,47.820765515046304,51.482579860224554,52.656847469322294,47.36842037442859,45.41999855854222,41.82498628005205,43.359816859109905,43.8921019371751,40.419795285699806,36.18271145863788,32.65126726721994,30.024545382827355,25.875667721938882,25.78873548154047,25.261058800094883,26.06589515927821,31.031816937795792,30.248359322142143,34.49949878718447,36.95253917056619,37.84318575212389,39.58901357123452,43.21202837994126,42.45183202849395,45.35798440166378,42.89823929508809,46.050369405943044,44.934835766924614,41.001220526828384,40.55018115222762,38.78267577316383,36.94584881013502,36.06562587692679,32.622960510215016,32.15745185552786,28.430192922902418,26.55641870856639,24.03813691613417,20.801990157762525,19.24124903679153,23.728319675903514,23.83187738517969,25.701690336180256,29.455099168227694,32.685865755398865,34.94212258516023,37.04084906720131,42.428952397496914,40.392085280610964,44.20902469778289,45.90732095316001,43.40341463283046,40.64341556345229,37.22313375328329,35.70787270180465,31.20545744983429,32.56688739683144,28.769021377377978,30.81169347736354,30.874525692961466,33.369953018802384,32.608262480246026,29.01380292683411,27.45773025525038,25.93755987591047,28.6206313328864,28.419797966619107,28.09583699994941,33.32763540972246,33.53306643100165,37.132975617164334,40.41381190244215,42.71374892232875,45.73932430194865,49.058436160114724,49.472269729382,47.61478062370548,45.53142632816942,41.210408192723996,43.00757765896284,39.85567619650537,37.903255497561574,37.92926564202737,39.85019237703253,41.54388257698007,37.68992926244661,36.80788685916384,38.490882744537124,35.257700014170716,34.040536721313494,31.936309372988223,32.928702702841115,29.426142780451816,31.59959098459659,27.322517787515384,30.400781320692758,26.726142286113355,24.917166993117977,27.900207822504886,27.50345284179439,31.59225267621426,31.047713770066967,35.72376377455312,37.755879688952156,36.985064725086325,38.828849782473526,41.734725115304734,45.057995340787286,45.274058177683536,48.43390723837527,51.51357374845358,50.23217430804886,46.281374763442955,45.831288980811244,42.3407073183039,43.5807019736361,42.579513638449974,41.1654855610477,40.62837610051797,36.59805219232432,41.01631452812298,42.8948350318556,44.73091509170299,45.98149526684287,43.48324664923637,49.0532649885514,52.13685470104972,49.45958576542955,50.80793850048687,47.97227393822298,53.265549141304305,52.956471928903284,54.72073860542094,56.28686535952064,52.651628239417704,53.576063350720204,52.33114577924175,53.404467001286655,54.9446036800156,50.88209730487857,52.02364386180348,50.48600172025966,47.18297243328519,50.24235218632996,46.77235550684712,43.96983142211931,47.10369733156786,48.03274325384254,43.22949784957664,43.627289170565334,46.88953333269227,45.48365495960231,41.134025663080855,43.62773979223337,45.118570498960935,40.6374217265886,40.178353522485054,44.64624697747472,45.84321706458559,49.03058525989591,52.19211590115322,51.26304884308372,53.04662676797466,57.96116244204508,60.912244466842736,62.372856172698185,60.616948475079816,60.22296664301816,61.119393805970745,57.57938215987251,62.29594490326583,62.88079711656572,57.45854050081225,59.21189102612311,64.03310397267482,61.196949476711055,58.18084261513264,60.58448009220732,62.70271633416745,58.85206493600059,56.31302215695469,53.53857255071207,52.768897440177156,55.391777078518764,53.904120316897966,53.5543264094125,54.52176182689937,50.64586973408771,49.596145106149876,50.68661204610525,48.18830778856539,44.72017660841463,46.013413757085786,45.678296756677916,42.571905041086346,42.6312151796704,47.062660426113986,45.22917269646897,41.4425615360665,45.588635366121785,49.072376749757765,49.953458009310424,52.29122706785999,51.42521264254899,55.885970799731496,55.29041819732141,50.846069886310374,54.42850998819209,57.06513331947924,54.5659347869365,53.462195940726915,59.32023875899945,59.41897273417112,54.69959526533351,56.65182635143682,61.72609380782826,60.39141667642416,57.01945809418056,52.70141516440102,57.274673514691024,53.66606141352098,53.2605323952913,48.09961927565796,46.701838539160875,41.91808986702522,43.579517148687,45.20497974445251,48.81133680816831,48.53420770024737,48.64598949895371,43.658368608269406,44.9112082872654,39.916453817456095,39.142563560151075,39.023321959055345,39.59417170929752,36.49198295571857,35.12378159701554,36.37674811218938,33.93395333880621,30.845328336498255,32.05810791396354,32.76243422016059,29.923861057296637,30.288736943960362,31.483497626071163,32.34532677075753],[31.161872302335855,31.366709278174508,32.329494321757416,29.066070688298268,30.89508748987148,25.129185253325865,23.794667337120057,23.165132007455306,18.40663670387205,18.281400015852167,15.62602632824277,16.92180659148634,20.434805914899872,17.393780310394465,18.02679537160603,21.164796732105447,23.230961667115412,25.326490547760997,28.673040587881182,31.696248093893065,34.514029337337966,38.8794460562714,39.878827589344375,41.064074536935244,38.68877179648293,34.49059465666076,33.43615887307612,29.551865222458364,27.74453454495833,26.40269507524895,23.809443043951887,25.369522269030547,25.53756513341888,28.84558048880708,29.64083194719505,29.6243379056577,30.74469592734907,33.518104636663544,35.5382553828289,41.50471140536309,40.053007301770855,38.290019894888445,42.06445557592934,44.058462051737024,46.41097986236321,47.37861467350073,51.172641643327324,49.12705374822177,46.37204842027447,51.88824215974212,52.786900382206525,48.86493705863079,50.89033108640356,45.56086902865924,49.0603395732751,50.80877201714088,46.98897640045293,44.36870718375976,48.25959996307706,49.32953896517391,44.09993631493381,42.50090609488667,39.01126651152213,40.72856631496782,40.88901599508137,37.2111370100847,33.13871769058678,29.484100650774153,26.885255003249146,22.69158273121371,22.65636586089408,22.74535306650458,23.53407980431498,28.52276916376663,27.51031816394499,32.272494474432605,34.15348976075468,35.318359522203345,36.63546030585044,40.01820514104726,39.05457321498507,41.63840904966019,39.07054971413489,42.02440415367652,40.75651483011556,36.986275790550636,36.80190053024233,35.23113847373326,33.57161535043478,33.20299498180561,29.829926026952315,29.98697414915392,26.099619452775507,24.03325696174549,20.899847200038728,18.092220665767744,15.762828223164698,20.37259345833599,20.110576228979927,22.26590725116658,25.782537776252802,28.79577904283443,30.961140474160537,32.83053210791821,38.129555222674625,35.8971446708077,39.75925774607969,41.32737342674471,38.800550141636315,36.12324150578691,32.62148442191137,31.034455140562788,26.502031103633065,27.83732895582424,24.118974674825225,26.21956434354715,26.504016739250787,29.090505311875646,28.756430345949564,25.038123944107635,23.369958360664743,21.56587103844184,24.167682979497723,23.782595821049668,23.358057566117104,28.58322763828769,28.83318301712633,32.39529749844872,35.70193490113041,38.04171549300305,41.012202070433354,44.370178277778045,44.75643662112707,42.97942490382038,40.81222108224975,36.47801235758864,38.26384169088924,35.139511849386075,33.26551492829219,33.336072194954696,35.471362608814864,37.29076422675812,33.47300526478261,32.4004297161131,34.16765743708787,30.906545302283284,29.53493579034943,27.405415962457774,28.34739318882721,24.8211040529722,27.131169665862988,23.025983263059164,26.46865271106145,23.21089446943769,21.340716632697795,24.06251757347252,23.341686130193406,27.341968724772663,26.770254338406154,31.250294035998945,33.16543154386087,32.599591311631706,34.29146528445703,37.32734173172506,40.53443638880552,40.69928281069191,43.791078197552785,46.882276886203485,45.537064515079344,41.610593395583734,41.12246980218151,37.66220176375681,38.9680885649545,38.03726486174642,36.75694865534302,36.328428160839955,32.412758314516715,37.018225184638744,38.70701554265874,40.48103164540832,41.54405199852033,38.9562083577349,44.49991858658815,47.574902027074494,44.889015639899235,46.40208112905393,43.71517732823515,48.981413668983684,48.66527044276646,50.281511789713,51.755036180718754,48.09648984182301,48.9152113847972,47.62246907026445,48.678111635537654,50.20640307454987,46.14220462581502,47.3221218645097,45.832243220601605,42.5657020976172,45.73381801374999,42.34377552206634,39.45161510268119,42.636349270363475,43.71283953427092,38.93160806488164,39.26293360907563,42.65844239896423,41.443934717746416,37.050842198274204,39.60914756563951,41.28194818676096,36.870557849964825,36.37464818543732,40.96586564233045,41.955707707786225,45.32785778255971,48.194067834012955,47.18610066981024,49.10938261675042,53.93270125654822,57.08962531364512,58.351967638180966,56.59749848609361,56.05263082234135,56.921370322653985,53.30977229937562,57.96211205342876,58.54728563447772,53.03167508349866,54.751085929414664,59.54180816388923,56.67574523766912,53.60589906071831,55.95423348155972,58.08642638458319,54.26672776199944,51.62550612856122,48.93811357087269,48.172833520310526,50.86566294655281,49.50939404960694,49.24827696073713,50.41650834778253,46.488526934827334,45.28488088932572,46.610060661514915,44.238229724728775,40.578677364187875,41.895240900786135,41.839146757857726,38.79290248399558,38.70451435364369,43.292090887376,41.69383604301035,37.890248908093085,41.93383015779671,45.49765755066526,46.163401390717105,48.41977042232979,47.37143460850232,51.81567086214165,51.322881854545855,46.72198248324,50.17593489896435,52.87232742220017,50.392811425110786,49.095452164035095,54.96245621933773,55.16035389192306,50.36952734731175,52.179133223279436,57.31714535858599,56.07620792988946,52.67257324285886,48.39763092475836,53.03696209556356,49.52285006927109,49.228633859702356,44.01203383402784,42.51009259959513,37.76272944033778,39.44771815877443,40.90465816036428,44.476449979888166,44.0605321196473,44.15900568215967,39.078631257115646,40.27174897153612,35.24591106843608,34.63210574623,34.58988045270668,35.35936176363919,32.26090127143802,30.701257534927308,32.21607650732261,29.954538047001833,26.52922883466865,27.90360868093901,28.963365039773315,26.286735233178206,26.612178067799963,28.028229760246806,29.08118347638987],[33.9384770881596,33.90493619816036,34.40839341156349,31.20741988104475,32.370742204847666,26.76333989736006,24.902232599621904,23.79806606215533,19.155970858483784,18.429832179555213,15.25250308668357,16.168436743323785,19.561434956932363,16.781862808128047,16.31272511861275,19.38405519543663,21.903893295816186,23.4371397274931,26.857046155070638,29.718964000113147,32.44010578525506,36.71020150761938,37.80278356706492,39.27464199489735,36.99435328880005,32.925419080158704,31.94539274647739,28.272364853186964,26.093485865565047,24.677235419647186,21.273255770260366,23.17768234818112,22.84380076923294,25.867179818327298,27.066765276510697,27.28252167338028,28.716892252107,31.658553718781132,33.966848625555095,39.73125156314299,38.53784165930522,36.42912101358828,39.99350494096166,42.268163014114364,44.679135018095515,45.95274593438409,49.601186500251046,47.36472404182067,44.945355961604115,50.52778370287235,51.18021475978585,47.15550408588979,48.86618381604879,43.64610815359122,46.80777872493022,48.47576673819696,44.77196316110913,41.93712442030482,45.627793319319274,46.89339122050046,41.63782929610911,39.710930023191295,36.099615544556706,37.84644164575454,38.29937857025767,34.694080631111504,30.697516564802974,26.997969313139116,24.69447703889398,20.39640081004333,20.676113292991577,20.54357782543325,20.841559953232725,25.813596170583534,24.640499520025294,29.055261938291544,31.233467705950286,32.15323066253358,33.752332175635416,37.33998627948499,36.538849148774986,39.460717268832454,37.07625988558208,40.27535667645476,39.21394908900598,35.195107513466034,34.671741888661394,32.88262050203095,31.051320767555037,30.24186655479041,26.828054994020896,26.639766748995864,22.806243705263643,20.841275077096004,18.14726556370327,15.008096965618522,13.35430074388197,18.009432954425453,18.372653013121806,20.893121334638334,24.00528978958107,27.676602826200277,29.482120945442677,31.982268680008293,37.25475181377616,35.56586928503711,39.5640455941428,41.376436923154316,39.22807931182377,36.32224715567025,33.16447301264167,31.153583365155782,26.799214766320762,27.96202658845056,23.90364025542751,26.11736765509465,25.832685757740382,28.66721851721058,27.647548780735185,23.757303471601276,22.584662311482905,21.11747707673169,24.350727385295407,24.18979372501876,24.073206283904714,29.188558255531756,29.68754821433946,32.92543790013356,36.210324772582226,38.081216962759186,41.45028357066647,44.597934891279934,44.79554882994258,42.710715188197646,40.80775547332282,36.584006835450154,38.897296179144185,35.555945639637685,33.686710978552945,33.293422760904285,35.382940967372825,36.73472271733397,32.68867839181271,31.798724630778633,33.15474795633062,29.81626092409836,28.830962971038243,26.666360084716317,27.84462466815754,24.63712386185745,27.09009150166128,23.06059409965156,26.25304739803039,23.384137404981608,20.824152662590368,23.245354045599107,22.478662983621724,26.695856741639926,25.700884521083086,30.64595075003839,32.607701909729776,31.47233069515065,33.643019662297995,36.27937788534616,39.83639760868723,40.464144999659645,43.55197786005692,46.81313377142945,45.77830013896084,41.8524179819474,41.24451110509799,37.60248365167798,38.4620740654213,37.28568222717829,35.68775550372116,35.15263532538584,30.995039415220244,35.387952894115855,37.228697160380456,39.18229865756292,40.52031478260918,38.29714346753202,43.828812928799685,46.87702294164202,44.20380190299472,45.30284276789031,42.35000496142751,47.68618942378362,47.58989383611367,49.38083507196541,51.12204978906402,47.43965875245508,48.611878878937816,47.53274613314002,48.71337724099903,50.48789845841052,46.65938677780103,47.91619876399366,46.755504784755765,43.353118084377826,46.74865809350141,43.28332803315285,40.4783466956395,43.999625210941545,45.08810500566897,40.390598411872446,41.01895682175847,44.4543755986708,43.1594356158587,39.04689623961921,41.78848476288749,43.49122322069875,39.1089697905435,38.85203863889267,43.526231006557964,44.39430610532289,47.73912896391276,50.51652481130737,49.28295176680614,51.221826560627086,55.87446567340239,59.19093436529794,60.15592409846915,58.18457338678361,57.43601151510099,58.06239462317714,54.27381545313059,58.823161990499905,59.695057120420294,54.15915330924982,55.58212820748603,60.47989553133907,57.78722667191026,54.55142368571611,56.68059512392094,59.13146006331869,55.47808478249455,52.446073714263505,49.99260700969534,48.77965884407161,51.49044966516786,50.33080308845193,49.79795638246712,51.03275124437663,46.89127044655693,45.95983875204094,47.54342686993914,44.95371033320102,41.35162534868163,43.06558837969622,43.06291248945089,40.076660632199115,40.25625925512154,44.868854235201646,43.340031011844786,39.78115147615615,43.91608023636583,47.407009514157686,48.02942106449738,50.02214299861674,48.724681109717,53.160453334636216,53.007250473332,48.3997986190724,51.56691559321563,54.494782100688965,52.17858684398295,50.63375762441979,56.446005436797606,56.960676549941674,52.178615710182605,53.688528214607125,58.93580454570648,57.95680618587651,54.562450129275945,50.40750658517763,55.16438664005891,51.813316239670684,51.61795575157883,46.37850147057255,44.66453582280922,39.99448989821664,41.79507751712613,42.992626826002954,46.496370247706565,45.80361557933458,45.777357271703046,40.491222451779485,41.31926705816019,36.27942268620735,36.00088875220304,35.56645972513348,36.47560173394131,33.07600285897854,31.88617002896239,33.82694751608517,31.42310951044594,27.787409593646498,29.851161727125394,31.0167977125445,28.133884284251415,28.277462401480097,29.544550748822477,30.4258297503111],[30.790424877218324,30.44532448061759,30.587818335831322,27.35733916340839,28.18406576772494,22.73378180125002,20.65345868411365,19.610519425908105,14.929841065836124,14.065539618599837,10.960413285399405,12.234578030269624,15.464960458869617,12.66603804704832,12.809998640882213,15.894838972246504,18.197712343825213,20.299812523271406,24.00069122094063,26.737162559466512,29.762840127601102,34.009974819704645,35.23691376778126,36.50866773545796,33.953897827553625,29.859762037127858,28.56157286436284,24.6909532584744,22.619696993315305,21.144785006667856,18.63496840623928,20.124818439863535,20.501033949686196,23.858621468944225,24.428385471796634,24.38426121538028,25.452569656457293,28.304874408442082,30.403034636343886,36.28351619361492,35.030489223969745,33.27150786594218,36.98129249398015,39.059292153663364,41.57350574372654,42.64859232547918,46.389141813599494,44.15414492141225,41.42596146858473,46.9650752541567,47.696681778918425,43.73134367275399,45.67979487756255,40.34397299214899,43.78579258318215,45.613635504332585,41.84592518183328,39.163110574746014,43.119096439147775,44.28152186120607,39.10374564030105,37.578889037640344,34.09752374906039,36.0648078327376,36.09001684466397,32.24620334426422,28.482770040772007,24.640146602239543,22.41627570435407,18.09472034318542,18.4697294596785,19.131120137209177,19.377318713482705,24.290851592312666,22.82693785449916,27.79427513959763,29.27409397416584,30.488081684736798,31.572583631327856,34.869506120470746,33.80356554927442,36.34544318232497,33.800992454079896,36.773859263921075,35.551317138860455,31.719737661778897,31.538347518064278,29.955945350673606,28.381246270164276,28.165321644066953,24.883738875534526,25.449408794833026,21.473923341884014,19.2706635156443,15.81086189651656,13.321370493703588,10.585493743053524,15.324179588254701,15.172947216389238,18.017634487437444,20.852943141419846,24.229006478288536,25.961495292578935,28.168597366651912,33.35726076505469,31.437035626118487,35.47349377570184,37.15307080466521,34.970741595935614,32.1482324951735,28.912752340516324,26.837821614905035,22.454533496301444,23.618477507086997,19.656424693414312,21.99028285126745,21.984131631923727,24.964319151580543,24.484612553025443,20.42076717763303,19.136520616315206,17.287053260740393,20.453092259344075,20.035348262073253,19.771077976558516,24.85549606205725,25.364559538961526,28.559639718094893,31.86080092456851,33.775681379669464,37.090378689409754,40.273285058903575,40.467296616347866,38.46237720924117,36.48454973413848,32.24779783462939,34.55173413313096,31.267059732281652,29.515992380727486,29.175283195240358,31.54890184368988,33.053079386071,29.050540330925422,27.91163174517373,29.358082298608178,25.957735721300292,24.779577277938962,22.53778335000114,23.63470206798451,20.378685241206888,22.97774646994883,19.148981432290363,22.739255221984013,20.379359717252957,17.773946085553828,19.860621373450687,18.713185091118728,22.827107206845618,21.821911430704144,26.548293560047078,28.41523500198946,27.54211192242315,29.564327032300003,32.35713937649948,35.78887692969647,36.37052809735337,39.363312178303566,42.64702351645344,41.52076242319807,37.63021913005694,36.96396516579213,33.360672860248954,34.28625187298103,33.175338656837965,31.723323953894845,31.288445221018325,27.265737992216675,31.875619294162234,33.524732893587775,35.39048129465794,36.537260014051085,34.172186012214524,39.69630459832104,42.75192739400514,40.07831340284165,41.39074890479766,38.622697290368826,43.93781561570669,43.851618774834996,45.45392325305052,47.083009925117814,43.35982106889607,44.39584232216838,43.244647317389315,44.38854479755808,46.13230299692183,42.29180043869329,43.56884761836533,42.44438994456214,39.0752553509061,42.56086020585305,39.17642906934479,36.29529067571522,39.85864754962691,41.07768570471408,36.42062913989862,36.997817569291584,40.536358496204876,39.423246586419886,35.305207785983086,38.09646670326819,39.95446880171074,35.67379885183143,35.400651025190854,40.149983925427186,40.82104584810674,44.303741562832414,46.803206729203836,45.492254088115516,47.5464607849628,52.096886924061536,55.584225320178774,56.370814031087015,54.40970148425138,53.52830522882593,54.13431217567461,50.293317461795276,54.77956033654329,55.64055552002496,50.030566916317795,51.428061524058485,56.29045782258924,53.57062663049252,50.29549303177839,52.381003606161265,54.836738035892715,51.21420971904234,48.10580165746267,45.72126645290482,44.51761822738702,47.28879718195356,46.244436686250474,45.804897543526636,47.22852911868275,43.05323334319153,41.96393737563787,43.76219919856611,41.31069396390915,37.530909340771544,39.25456438750101,39.522918454038745,36.61191815987279,36.64419118570258,41.37983567487639,40.08580558473663,36.53667736210826,40.54210497798199,44.08635802771292,44.50267798039042,46.41197515406626,44.95106267809596,49.35706888641037,49.29494723061923,44.560089468802545,47.598292138731495,50.57124353104534,48.281807626929066,46.566674739849,52.370823208992576,52.975552379986205,48.148102923374005,49.52480366769929,54.816598565094395,53.9281093421673,50.51971829706488,46.42342508894636,51.231739991974294,47.98995867954489,47.88200983276714,42.62563733107678,40.80591071896765,36.20281159001702,38.03721519455944,39.05866294244315,42.5165245920475,41.688773213451185,41.62986486443089,36.27275428485335,37.03012830641584,31.975766484818553,31.850909211772205,31.477763846720002,32.581650169753964,29.201465461330198,27.830612161122666,30.03699474472512,27.83200807214873,23.874897233947372,26.12856807576345,27.637774470899682,24.955554585928823,25.057034180292927,26.53476579498374,27.601589100777367],[31.49744267908746,31.324402580827094,32.057872381642945,28.114836129853757,29.81257700181067,24.776675855236963,23.102843163786282,23.161128463969487,18.247250527178963,17.127670493896932,14.828256011842461,17.22626182238581,19.43111313108052,15.53019176623246,16.642684870102304,20.030826818169217,21.198767216898506,23.08027834251567,25.748966341201637,29.213246383969818,31.70428183932053,36.24042695838174,36.87840105138003,37.84758268710034,35.69769384130223,31.383736358899334,30.75062176098545,26.97397585658766,25.733001356886316,25.13389261251127,22.62534762091304,24.970511915374676,25.62158243526666,28.503410089883747,28.950252199104288,28.24282766281845,29.806967798192698,31.71068535485319,33.53170670256234,39.73177739671903,37.660899561878956,35.826421435279826,39.766826806430956,41.50746602340417,43.53141977609286,44.34379043347556,48.19098837984394,46.49096795605366,43.78604517441743,49.264960735563776,50.50182291683944,46.68777636594594,48.93487606791803,43.670674483932125,47.56516040172146,48.925645743130566,44.88081442825275,42.692743414087076,46.56490865631246,47.12735148497516,41.85003745143843,40.544252396535846,37.309937766967295,38.531756349118815,38.4772528208086,35.03543053268494,30.499383464673596,27.20273746162506,23.971286164031216,20.11457550835127,19.48555728298384,19.435869825397848,20.98005646922263,25.899366596240124,25.574244909980266,30.673134439011292,32.48430927786974,34.226706995101964,35.41185100984138,38.55563542503965,38.00840144294866,40.389553324490365,38.317622972780825,41.027141251283204,39.30702699067006,35.676167099757,35.24669284462522,34.37441313082899,32.110867572858794,32.45186831519618,28.7206669140502,28.988154980552288,25.299343128724637,23.745548561453447,20.383866360275743,17.95170596228205,15.28725294064714,20.699944876944336,20.690505309949312,23.829362757034918,26.314806108856207,29.597006620414202,31.024877239863297,33.025198383155505,37.95516338570328,35.58318919698554,39.67881493440947,40.87965146140179,38.38345462659692,36.01147876814715,32.28447802409684,30.22257884454135,25.634330739898466,26.236040623488346,22.189028748043988,23.689180428209813,23.740002621549618,25.81737131924841,25.320424885637202,22.079774930754116,20.081913383755005,18.660397537007984,21.040496260977914,21.21799167455472,21.486195332863645,26.73768420238412,27.92308612177014,31.18740782345828,34.70844752867479,37.12294478651593,39.82315736653778,43.41680755249965,43.38634379684766,41.95017597081449,39.26000179091664,34.8085158704171,36.43986263217533,32.92038013850609,30.61760647330131,30.67016688200761,32.18461013713666,34.00129149367995,30.330614318792584,29.584994328417192,31.64335998439619,28.766951600330593,27.385983942999395,25.89552627162421,27.339127468871325,24.221119919735944,27.21707957752694,23.73365667771797,27.800072525262433,25.37462219145322,23.257361132193477,25.300328990872913,23.789967101440645,27.6795488587902,26.4721821807248,30.762459410647946,31.863786348384625,31.062479597268336,32.13736233526087,35.350854425384156,38.313313522184835,38.049809660046506,41.49296993314227,44.3230555421153,43.16512518464999,39.11168333483493,38.946280127167014,35.44399180803411,37.08592983499208,36.51526554644959,35.50313494690565,35.61846420534684,31.694029446896955,36.65029506577244,37.713552042678806,39.71270941101848,40.16064874142443,38.01939730394403,43.297352693833595,46.14895404092259,43.22034828959499,44.54945088722598,41.73552528314655,46.850749477185204,46.00947722089212,47.92091823980403,49.35233453772628,45.94091780812074,46.863050898932016,45.75781631687248,47.0522621099292,48.737654281002115,44.724833881881814,46.27963782556626,44.93433065162906,41.98631485023687,45.45799457596482,42.40818930343283,39.206711258878364,42.271185102796956,43.828751270970706,39.10972742029689,38.83644253110312,42.61719671034785,42.02978971033245,37.28363039148461,39.68882578485946,41.77608792489618,37.566205668355714,36.58228024493485,41.23592373446738,41.85644266591171,45.756838419337704,47.8676966557515,47.09987422643474,49.381452597916905,54.15064547516753,57.57781246431452,58.71166375791481,57.18209464138836,56.44635007253496,57.384220640055474,53.70181005097084,58.19600724455154,58.64403891347873,52.89900667682147,54.64991729961231,59.26196967081522,56.18265509272305,53.03160050263212,55.218049016631525,57.17199093609165,53.368038391743724,50.51108347898648,48.196873949531515,47.69265824336703,50.63150410001256,49.649098975938934,49.67114806429056,51.26967919493993,47.27401926738198,45.71269665537414,47.49389671297798,45.42827021856057,41.4248800901643,42.655982046719984,43.116424712108454,40.18509056239454,39.693454603024286,44.4946804771737,43.257522182005644,39.31460615178158,43.04997364728508,46.77105815032305,47.08067148844503,49.36534234859735,48.11824079051057,52.49391152344212,51.98324159278682,47.0690951232099,50.39755666461508,53.02907185159928,50.443866322614426,48.83468269879571,54.736171006770526,54.85460945213607,49.80936242596684,51.46537007973492,56.66020780989673,55.33202944145344,51.761972201115285,47.42362930859537,51.9054427710029,48.288958602888826,48.45682300671754,43.09207015974478,41.88799255341822,37.21360884806809,38.38080139231627,39.73099882474715,43.12256026889137,42.71240384300605,43.245267146727095,38.07917202541339,39.41585205994373,34.26376633556895,34.2121457802667,34.726227525108094,35.964137729881706,33.017273067595546,30.84327217051714,32.758643993056424,31.04912759937701,27.044917595917067,28.233641958321964,29.992483634654892,27.85639013526511,28.218224778247542,29.964536734117118,31.28571177286529],[30.128824307079753,29.619736969755383,30.107832698220637,25.759732688625117,27.315457515627575,22.876643971944773,21.030787718842284,21.672256199789096,16.811912990254942,15.146297717666936,13.447858699837441,16.635831915785026,17.8255503000666,13.434077245628494,15.38952132603611,18.777953220044342,19.10096318594739,21.176856080384308,23.467335933168858,27.12456079115952,29.54881286501774,34.14428234232272,34.614075709367896,35.295529320038185,33.14071130034993,28.755114935006237,28.220470064335895,24.422857755035338,23.706123718792046,23.58087174457798,21.747920161024407,24.235589276305344,25.50550479172672,28.271503539556743,28.186239646318985,26.944105933335557,28.516346430303827,29.79676769352664,31.316764253400947,37.67909906829666,35.18426813804089,33.558462807795365,37.66846519308755,39.101487921565955,40.96060701536472,41.52354657209923,45.45689281483555,43.998436042678684,41.12765015574967,46.52269856163526,48.02979388043505,44.34628562732005,46.87372223521462,41.60921178965341,45.885456177308164,47.110594442003126,42.91717699873234,41.097783849686415,45.083896709109595,45.28142096031094,40.058902185752444,39.175427111248254,36.193051040889735,37.23094816186067,36.802062710873734,33.40472538106769,28.757591513350423,25.668383025138738,22.097933670643087,18.57023447424306,17.553164940037323,17.877203104240817,19.900168890596213,24.630509139603912,24.598777185055628,30.093274466587292,31.46978583440582,33.67242098651689,34.49399671323159,37.30278778448992,36.845410952274534,38.85514316859206,36.982780533005176,39.378530939566254,37.30513748884656,33.93083155351346,33.58269112446453,33.25241367926467,30.827219819645666,31.893215988080648,28.100712497791825,28.80703056542324,25.23103528424847,23.87344932541311,20.138798951556183,18.322381864142148,15.143302913963488,20.70477195437335,20.534207003695794,24.128641971122338,25.947890388908217,29.057041034829023,30.07452550377845,31.871565252608697,36.48200486912733,33.85859549703812,38.03049201399867,38.90068413959245,36.365283115222624,34.28308990028761,30.37380630052858,28.10656089140228,23.522659026891244,23.663742759938888,19.60452801922613,20.67383895887972,20.83967082213459,22.54974392549693,22.389679597003145,19.482975997572957,17.100838320706295,15.705582260180373,17.662235880092947,18.07047093378235,18.69457323803005,23.88790087896989,25.627984445817013,28.6989124701938,32.32320255396062,34.86771863894589,37.27869136622165,41.040684078411644,40.79455335819633,39.66625306583673,36.59906387202021,32.08607474005363,33.49835581064925,29.822858434967106,27.30950229317516,27.4775170535819,28.727535052592877,30.71471986310282,27.231371735430386,26.54198562817841,28.9018324016579,26.2983022345285,24.756082562870848,23.689037786184475,25.33480269688199,22.467101447198186,25.841269444459797,22.90262367501707,27.410100725425103,25.630502195987034,23.55163453084886,25.08923101718178,23.044327915988667,26.66453724435047,25.192145149964873,29.07982904869749,29.610723180915958,28.912494357077954,29.414609799639866,32.85967935158972,35.51595450648939,34.87409591106059,38.47051190833492,41.10783719432459,39.965906360879174,35.868461718218775,35.89944227747157,32.448637210369306,34.408382574873606,34.143262038562625,33.43443515664255,33.93650582268666,30.17658308303866,35.388279183158765,35.96554878068241,37.99865732665839,37.945249187572,35.95832998832475,41.02688400473935,43.734450757089014,40.680371023917495,42.068549407133524,39.33615871829496,44.30594933309697,43.12688851491878,45.07985264637621,46.37771936286535,43.111685747961154,43.96042513299306,42.89926719400217,44.28910047060185,46.000493774610916,41.99217565044584,43.756999231249026,42.46516553243751,39.7647859717519,43.39177744775493,40.612857301942356,37.20995682952857,40.139804059694555,42.02416538517421,37.387500878546135,36.686697230244704,40.707337430355075,40.582217173586365,35.62980641317258,37.918702659737605,40.29654220548692,36.28255960674674,34.982950461312356,39.65793486389847,39.98365019060223,44.23283406891918,45.78063760526308,45.1500654446362,47.67542312134627,52.36645609722181,55.98996103524541,57.00266811847676,55.639544080621,54.76962505379565,55.767043972632756,52.06655982206721,56.4362144359613,56.75808484106713,50.87908286877243,52.6735665351163,57.1310978897183,53.904869646980515,50.728593281652245,52.82653240425507,54.62431994971705,50.83153058915895,47.88855993760588,45.797301310881814,45.52698083769812,48.61302707719618,47.87064109676997,48.13787320077445,50.03935669806968,46.05413774768773,44.19103967434088,46.269036755754314,44.484964692629305,40.24081149397028,41.352817372317666,42.20992904846215,39.39566629093727,38.57807548405734,43.505316098886865,42.57253060385044,38.560194769528806,42.01827751768319,45.832044093303566,45.854381181852766,48.13890662046209,46.75203736618966,51.049188013614376,50.52369652770423,45.405743837142396,48.626174278330446,51.193331508249045,48.549919836793926,46.728395754159905,52.62559178705007,52.69383741989771,47.50158780794177,49.044235914743496,54.25621914567305,52.886930301583774,49.22621718327149,44.87807294569354,49.26153071028073,45.62676304172209,46.0907061688926,40.65583568961217,39.614476833035816,35.035631874569255,35.88107680839139,37.11348829761558,40.36924323080807,39.941674211776835,40.737551939632525,35.55430997627626,36.99864963762155,31.81163879769074,32.11762162677467,33.05813090877396,34.61703074951943,31.862310703926013,29.214314189730853,31.38120442083714,30.134682345125892,25.766965857449062,26.77622684010089,29.0541388812139,27.38904559153624,27.78677391295637,29.79961582292877,31.338836046881436],[33.32546068383093,32.53156480145283,32.85625238794539,27.927613542752002,29.32752799714962,25.97734521564893,23.91825750478629,25.199422212277053,20.602710277411823,18.046946085218103,16.887545917735885,20.604579980807294,20.38006099622468,15.543629641120305,17.493520449867074,20.79638296108175,20.020737069125687,21.35122168190374,22.312697503982672,26.507373755421874,28.198494288026257,32.904616751991846,32.756182366924094,33.174838041306025,31.5533879757816,27.145588855577817,27.431966235767657,24.083631591553246,24.181965490733994,25.079723244001524,23.113952731077113,26.543271793898224,28.018236450505402,30.041421775850836,29.783777087843486,27.834867166249957,30.05258731543221,30.18440416916147,31.466986824801424,37.89507476541201,34.63738231065577,32.796565558080786,36.962553227568755,38.0882810512411,39.381414472486995,39.79795477311818,43.700881718198,42.765359102962336,40.165017414916214,45.43208313098694,47.349200040518205,43.851286584545825,46.53030299491541,41.50700761932203,46.10447335537673,46.718339932763,42.32099948589621,41.062486756738856,44.82991583510967,44.37547038235833,39.15493077748154,38.53303759531897,35.9287289562693,36.15723094365213,35.607813624792826,32.75288777464001,27.503652736258672,25.161598050403533,20.803388759955105,18.140951800579444,16.19400220905467,15.911588019494266,19.051816323934766,23.325908803843454,24.43940860741757,29.890483443051192,31.391983753561423,34.164489734348926,34.990863995499154,37.51934926739269,37.73003505984538,39.586151464954426,38.465330053997334,40.59440317773685,38.061421168573006,34.88189637622336,34.07021917986267,34.5651297794802,31.34395176714455,33.04246359906539,28.907945992631713,29.435887763304503,26.35719683637545,25.781505725895652,22.32105708018761,20.860839685808603,18.020066271221353,23.873642575173072,24.163828515868698,28.4254177448597,29.24611182945196,32.66500663238558,32.85856073040619,34.89033980415975,38.9765452876682,36.388190435664235,40.71157821799167,41.192412553859036,38.79771755295177,37.0884004784746,33.10605257162898,30.364192563965677,25.98900563098695,25.17859749437411,20.922126581230454,20.975519829635854,20.600738009553638,21.294499413808317,20.58493385907542,18.788926123669714,16.13016165933628,15.772036415561248,17.18236819435779,18.620738071714104,20.29133483675463,25.09265801078475,27.955307325704286,30.486690220504638,34.223371122997634,36.7257390992587,38.76888151250652,42.70712512942456,41.92268072354569,41.2101014363889,37.59333787675198,33.085474309981834,34.27432191802097,30.15039094724289,27.066128333282798,27.14646862915991,27.230553644749595,29.05623240613114,25.90775453722972,25.890346272113447,28.526457019928092,26.62890093167414,25.26259679719394,25.167347604988702,27.402409088551067,25.238225467868848,29.1446220534557,26.916290159410593,31.68312510068632,30.55650768184821,28.290608524986634,29.26167546580927,26.666641309014153,30.061845503985843,27.934624553743408,31.54348794640257,31.090805145226895,29.97226185102319,29.695564018955565,33.17075365215124,35.47146429684564,34.27295981795748,38.32206364885455,40.52385716749921,39.73063499391172,35.54158244476619,36.05113947042003,32.62508517073063,34.934103312346195,35.12129612593237,34.70840489870086,35.83201269493146,32.12552995892018,37.492392418087995,37.36753052884747,39.671923195241284,38.92742210029618,37.645590050679495,42.248007593367994,44.60313311971657,41.29445864312513,42.29505965042983,39.36139774141538,44.028643026165376,42.132849397696376,44.5600253383115,45.835647272068194,42.99194471507535,44.04134745473982,43.29898557203328,45.00207574420728,46.91130729904434,43.071401518305265,45.27888989421402,44.20066708554315,41.939400967301935,45.827270008817955,43.47519343667704,39.82963817316237,42.54045559022271,44.898750258065505,40.433363955816134,39.07875358616785,43.41026452505443,43.93170871348998,38.72274580636579,40.75915768286423,43.490322180952354,39.761297552872776,37.97012151729359,42.55866413281591,42.520656452904795,47.23541841209555,47.96608666352942,47.662577790387594,50.51755784111343,55.10622945593595,58.93109676214794,59.8479330580615,58.75242738466605,57.716764114275854,58.781523590693226,55.05931743472599,59.20934434648443,59.38020169028145,53.33407137086818,55.13778115594289,59.3384252126159,55.91071815540996,52.690322371015576,54.560378179367454,56.11865043830177,52.39985567556942,49.246380184642206,47.64963572732498,47.68060166157027,50.9885513117144,50.66659523116724,51.20896965552158,53.50393870705243,49.50150345752119,47.34045797026892,49.826498217803994,48.34250427270351,43.870599301501265,44.8838743400069,46.18367620654938,43.51504868979505,42.35687320950316,47.37354339230465,46.75140788889879,42.672320464489154,45.79062955518705,49.68573834530145,49.39597072508788,51.69957238983475,50.16566079690435,54.33119635497883,53.769824267044974,48.42666547916909,51.484909554816916,53.926397638320985,51.19513901753473,49.09180178522478,54.933819940312716,54.87921030121574,49.479889620591585,50.8460995386336,56.03213474780326,54.544954358460636,50.74013015543146,46.37578923735187,50.45285257678621,46.71397683324502,47.727965206706294,42.23828572412686,41.63522812871019,37.259959187355896,37.418598773449645,38.53686066016421,41.480326397381866,41.11757244261077,42.4609349582825,37.3370700002051,38.925845952532605,33.76237164251753,34.70056679054258,36.20204804200595,38.16520301714366,35.626208061848544,32.504688777066235,34.95268170880418,34.237177890894415,29.557883470983352,30.30209428394853,33.08329274365126,31.912678902757605,32.34038855722235,34.50439433254428,36.16852071662791],[29.924502414082067,29.780745616578475,31.04219207305361,26.402438716351448,29.029340536965847,24.834456839587634,23.77031792266159,25.169330120707194,20.431445113547337,19.352958312070356,18.326725957058375,21.625298894718313,22.781924023511532,18.298211521677565,20.857905201197134,24.192558993463663,24.01486719435122,26.179654108697232,27.90164792967812,31.822805512047193,33.96566025006621,38.62557543651994,38.74154781285406,39.10194935048717,37.17304223671314,32.739388325765454,32.51004074476065,28.780198542933356,28.618970770230213,28.79491248946406,27.289174108494777,29.784584400643723,31.187294903134976,33.93244144010987,33.75511545812175,32.29641594077743,33.84839270753979,34.737247008145786,35.96610910375983,42.43804804447617,39.49894153693053,38.062120793153646,42.296354862868185,43.40371949821065,44.948245542509525,45.185502338430005,49.19573656836193,48.14728741867569,45.14178739320173,50.37857995016965,52.262234254141376,48.758550953582926,51.55842120940503,46.335131121946624,50.91302430259989,51.967694088149344,47.64699947205027,46.15556683190697,50.1426116529962,49.990490410528956,44.79942962599762,44.141718368487744,41.335985497421326,42.01229861846587,41.46785989807316,38.29631839894997,33.370963276997365,30.631756225016456,26.644389868628178,23.52935776326368,22.02739597867255,21.99181247097999,24.669136419161152,29.22622963481738,29.740775918178166,35.209456347884405,36.67643667486159,39.08145585847589,39.88675040623721,42.55538733610313,42.22383646707206,44.0188388023033,42.22451904764557,44.38702895512327,42.05556322603061,38.944557173656825,38.682864448831396,38.66614352812014,36.130537835317924,37.45667888217056,33.580587107872724,34.183956353915804,30.726326869846325,29.51436174301632,25.82045199210819,23.97192775937549,20.828812727318596,26.33155476754524,25.940340494373704,29.195268780988126,31.325419848014075,34.00583065685224,35.22964613863463,36.554686824253096,41.0632632402148,37.96112340127036,41.96444479072741,42.47212754294004,39.550145064192506,37.85525399167893,33.583824953894506,31.75634201990605,27.126172012412592,27.201226901531143,23.601418598349163,24.161240449906284,24.763036561054346,25.731651823824986,26.035192371228657,23.82796346358287,20.990828358545777,19.705122394961233,20.573080178373075,21.074150335300367,21.635498964705732,26.68530594726031,28.420681805404893,31.694533164348808,35.317769360113545,38.392054838839904,40.16733840682772,44.2086520672879,44.02932930511617,43.397435753715065,39.890367011982725,35.3066203700969,35.91594048045534,32.42368881169747,29.708480380820014,30.4649768650619,31.223645894327372,33.67308501277172,30.6670125503208,30.082774949729068,32.92405960189935,30.685797629196895,28.868208728874418,28.142500762617836,29.665577763459655,26.697690966430347,29.920122338054323,27.047113937187177,31.65363331368544,29.471818455540543,28.032354519626832,29.856315264627888,27.924064281790873,31.293055213856487,30.128591613209064,33.512865135853424,33.768490518174566,33.50306665328978,33.299995623177004,37.097990672831884,39.24575392624601,37.86270243323176,41.60473818437335,43.82205719619216,42.43717184157634,38.3464186743449,38.73360978145123,35.571391078313916,38.14878805917187,38.287358989395216,37.9691903221499,38.69887116713607,35.18094138457546,40.516787683887806,40.84376848772103,42.776107516242845,42.30888924493491,40.18042070655829,45.08369791367971,47.68991730562278,44.5693923584241,46.22888584923917,43.69183869166648,48.44970967607449,46.78268128837715,48.740048964376044,49.7314942223991,46.686794905547835,47.204475727371154,46.016434689220475,47.353808042375206,48.80952817821336,44.58533645972209,46.38084138001912,44.7168836634017,42.36933106935726,45.71759454710691,43.18232526578516,39.64162232463939,41.98427938116523,43.96378508439379,39.30562933464195,37.952086682829204,41.96335567901515,42.13945119275874,36.738872364974256,38.60471499374925,41.007580663059485,37.07687425819393,35.21537267945103,39.64767111651578,40.071713528643116,44.48532220659199,45.91079402809054,45.80053196752125,48.37851654580818,53.28927898284628,56.6756267749346,58.144719346627866,57.19184370077804,56.59770262155596,57.95032118142587,54.51766725533325,58.947683686457744,58.834895640662324,52.984334913607384,55.17913238665528,59.3924116399501,55.88358831725922,52.951674099599906,55.268102814777315,56.528868578657494,52.54071352740097,50.1116925713311,47.86924988311664,48.307331763446044,51.401839922470984,50.50745228069327,51.177523505032575,53.037254781692994,49.34887737766771,47.12709451272075,48.91347642658918,47.46021878752606,43.174128358446445,43.732911173265514,44.56267045635335,41.72050796538838,40.495096730031335,45.32474655268333,44.33147302990801,40.004535985297,43.21458426082074,47.105399918304315,47.147865142357816,49.818989529483886,48.78938205099712,53.03253547457721,51.99610865751249,46.88694834785524,50.47115015598021,52.635241841707604,49.730636592481666,48.230475758994835,54.15102144763269,53.68008914766207,48.43735844828408,50.390185880661456,55.38718034866885,53.555032560245344,49.84204639219429,45.302736148022326,49.32574052871467,45.35503651847871,45.87646754983955,40.485701217541084,40.02877294024753,35.431370858604126,35.750077510082725,37.41278947187846,40.63288153024347,40.72446399450921,41.94391801369246,37.16495812879777,39.194459610039516,34.10766844097782,34.11909644287061,35.75366446712281,37.17843358359291,34.901923271907414,31.734082398674204,33.30249954706689,32.39292710129139,28.383590972037332,28.266461767431597,30.4430989263204,29.228903338860672,29.881685562357678,32.01121703425409,33.69771867073115],[29.421931855725273,28.910719096550267,30.076473391309985,24.84668205906565,27.62309184934543,24.72516658548863,23.81070857493194,26.210269743464423,21.94569495023255,20.488196657752678,20.489556202396557,24.375553879846077,24.286850482007083,19.61991812613034,23.01706732379508,26.101179830273605,24.738564851003616,26.973149944470908,27.81371511834301,31.925750813970662,33.73354608695933,38.34459379167133,38.04944057367211,37.85456088721389,36.11288227000814,31.725850293747264,31.828197753319113,28.314080670164685,29.110053869376657,30.020890674001294,29.433745033098482,32.047062724347896,34.11424107985752,36.613534706011585,35.816073565558234,33.67825989705222,35.22226767479753,35.10624216810931,35.779073895553346,42.32110210228786,38.66754835471049,37.6148621885608,42.005858605249735,42.525704456086835,43.63814959079951,43.37343800595025,47.45427026417664,46.97001792420086,43.763139630848514,48.70366191746226,51.11390122592623,47.93496204926519,51.17686436708539,46.083351972373386,51.20774528132569,51.96403647465509,47.46282515997487,46.636154980029815,50.68257631375179,49.88682044965251,44.88022595359927,44.87363138429493,42.52810218131599,42.78122224208644,41.728012438440174,38.81707922176324,33.77270196091356,31.576586151555126,27.18063138899946,24.860245724129058,22.794050275879652,23.025726823676838,26.35551664392618,30.372748283040657,31.45597605691564,37.18438984710648,38.14132556781821,41.127371427002686,41.484759360073745,43.62436151152945,43.49872843595317,44.713930062762145,43.28666316987191,44.91042840246509,42.05023549554485,39.459191672054644,39.30491588064727,40.1141645459152,37.36246276000655,39.62425996048062,35.72970485925605,36.76040807702089,33.57598103689484,32.68550309459397,28.764597513185876,27.577784227321516,24.135387444620765,29.551538195230457,28.99288439783881,32.56820502496192,33.953954616004005,36.26728311279506,36.990206142915476,37.90103501466759,41.8248672857446,38.3145205213051,42.26272827219801,42.15413335586727,39.112325451167756,38.03158729122937,33.513275500916755,31.620736163133255,27.220968277581377,26.57432002563709,23.394977912599423,23.00649556367865,23.897105678324756,23.82177789310299,24.794220830253725,23.6050253091885,20.283524300387626,19.300318249341103,18.835112758829997,19.764519268389304,20.840781713593234,25.32899613161002,27.847128810522204,30.7422270770602,34.38136287204406,37.75360162381653,38.78309698353666,43.09612898289534,42.60277976976873,42.64832136864758,38.480824156448065,33.91987478979079,33.805724391344405,30.252478833922623,27.181594890898484,28.37346840063946,28.350232734579745,31.188743363934204,28.850037988676142,28.475817523234593,31.852010444312544,30.289839626888817,28.24601236568331,28.325852545309008,30.021689165365494,27.534118845896828,31.044038099823137,29.015802374789494,33.99668085755827,32.539628379603144,31.326054051497803,32.592175010141624,30.140709803029406,32.981619919619206,31.605429467449806,34.178704857169315,33.51392299711961,33.53337667680255,32.225976432554305,36.35356451188792,37.77055073474024,35.502739184877825,39.47267311607584,41.12923627185426,39.712478406016814,35.64929628153229,36.52724741195619,33.673281657795975,36.92174070341627,37.67664967549406,37.94490847551322,39.27820391490966,36.15802963494129,41.71259919408346,41.28905905086073,43.20162047796351,41.885022802221485,40.01420751530835,44.419494948552384,46.70941754402229,43.43489023310883,45.2205759699432,42.91408539749271,47.26411451156254,44.900132906432795,46.916118922790275,47.56650901522838,44.91485059456787,45.190854293823094,44.05965153553996,45.510338089861484,46.884177615629866,42.66747152930099,44.77938255915387,43.0858845546511,41.32614523149866,44.731249352499255,42.75712427627886,38.94685334128829,40.784085894558075,43.26378442062081,38.83444064513928,36.57864714796657,40.866266284124066,41.86916684166526,36.114948115356746,37.566932356801864,40.37465497364944,36.879241568789375,34.34650359443255,38.58504265850632,38.56823037758109,43.51453093176688,43.958262916308406,44.303344423957576,47.24463890651984,52.04923394901725,55.59886676732356,57.04835367034058,56.52222854834561,55.83865554204661,57.39798643250453,54.082739536878336,58.29034855759341,57.82308712684152,51.85665725322748,54.23987304418092,58.0668182304191,54.26144332338777,51.42846657275977,53.65847428267902,54.43478543218338,50.43855147241081,48.11904928719855,46.214540634570405,47.29151645441017,50.5613225040581,49.989047095817035,51.15553772319994,53.408281757588185,49.894961093604145,47.15695730759548,49.23685201577495,48.32079108189227,43.768339874441516,43.94907818446395,45.317191292949445,42.688918217440765,40.887537274828766,45.75703637308646,45.19451585277248,40.75320007424431,43.397224320176946,47.376554051489364,47.003404360416226,49.77532199830791,48.69059016623446,52.7297001649158,51.49219557603394,46.16220312805273,49.6630944009905,51.53514385553985,48.47814832679398,46.8016645154065,52.633607186472744,51.86496358957041,46.43982622191611,48.354428058281705,53.21868537545959,51.141050004911634,47.303331518724924,42.73007645667206,46.353323155962464,42.24422989446995,43.29782976210049,37.90461108087084,38.01466386584814,33.68730922936922,33.1859712046667,34.81688347778369,37.709125044413064,38.02271804875689,39.859898532083996,35.35547469368773,37.758095592996305,32.82026418874961,33.27162176118779,35.76912102183393,37.56321988021855,35.795003369181636,31.88920563520823,33.53265001227118,33.43452590423358,29.225535102309298,28.426240411560354,31.21625557805634,30.85487717884317,31.62160912902131,34.04764036727979,35.989103462192446],[26.873370203529173,27.04793039570239,29.063565881396368,24.349380791613097,28.08297973013732,24.292707194017506,24.21049012792207,26.420288761264665,22.133612903060442,21.888857736936455,21.762800739976797,25.10428510777437,26.20521538930219,21.94871538350726,25.41584299067771,28.52937812064328,27.875525718440084,30.5938688125665,32.18273325114988,36.04813691167562,38.263421664249634,42.85455257089222,42.874236304375216,42.813014606402476,40.78999775403374,36.38449597791894,36.027306985776626,32.215904086580025,32.551529616983345,32.77910863603822,32.26979009849177,34.218121123556436,36.0756309695694,39.104571276409224,38.50063976706799,36.87007517355402,37.95328843078229,38.62093488633976,39.40688830896095,45.925895340649745,42.72123242720733,41.84904024959254,46.233186190923625,46.90804700806276,48.333053668985166,48.09049278504387,52.21582129704152,51.476543039166124,48.037969602275595,53.02105731613728,55.24326712679369,51.98127396514086,55.182648594475,49.9187684622127,54.87159982563052,56.034888030183424,51.64528665078533,50.47237172804651,54.66354517813538,54.26427101866803,49.2308373047749,49.029955995934905,46.41966969632178,47.11265140179632,46.19075967593561,42.97505133924915,38.1890068692281,35.56412325575314,31.520663697533728,28.676003535193345,27.038738385039878,27.356424915307898,30.23111364968435,34.59879218587653,35.131777454043394,40.8293745524412,41.87480512590796,44.467991223878585,44.90876327988617,47.27378964840291,46.707689283497864,48.017451919414015,46.016975281207046,47.78906006797331,45.227300960326836,42.565606197275095,42.775310761108265,43.01348967025991,40.80341160757985,42.57970638249871,38.87652960762834,39.87264706871767,36.371929237183195,34.99183826719282,30.99192368364232,29.442342774692943,25.91987864034409,31.03354721699592,30.057799433561105,32.79426505381253,35.22464503446852,37.04208669014306,38.60968956470942,39.080154273435184,43.407711552178306,39.64232613191599,43.30676499542234,43.36209397101872,39.97271615843265,38.78063838659932,34.1663675499456,33.036862339105255,28.49377458731953,28.69993631725509,25.96108879492251,26.20098929410231,27.631752427751668,28.083691831933812,29.472860567119657,27.690029180827665,24.46161228283284,22.846307088322686,22.4897453278166,22.61580635283425,22.708277811709497,27.36155662447719,28.73603606284325,32.23299056412994,35.70636066031981,39.397071562362434,40.38944769836659,44.660598124956394,44.727755874077666,44.66115411345729,40.79894769271678,36.24190805971354,35.8762737872189,32.902975013023976,30.289981149113807,31.820036215098586,32.54055559587212,35.654601719171055,33.220121583540696,32.39000226836911,35.70029766107435,33.71871068410052,31.45843306352399,30.877743531223647,31.994354151859536,28.867641787899796,31.723793247994262,29.093675750346563,33.76862194340807,31.41062564584784,30.833767743685428,32.795823877439396,30.97629512963655,33.84602764911482,33.236878440320204,35.79141603771408,35.8837529813889,36.439819360366165,35.50919768214314,39.72739500991157,41.2280057488941,39.11464190209804,42.735190535945925,44.55130878193923,42.70167051332933,38.763540531908326,39.38983851271075,36.69050424916142,39.90346137285797,40.445339706362994,40.62566323977094,41.507006692408446,38.45754458348676,43.887807388000134,43.97849179618315,45.60824737052413,44.72360914108585,42.17305171006331,46.889175712265335,49.43406423592008,46.370117623761914,48.60353378426468,46.542636227781706,51.04945261869332,49.074776547280514,50.705467079933186,51.234240844883715,48.334484084277754,48.270192822807395,46.78915632892195,47.907738765581676,48.93096239234947,44.45238461236413,46.12882449348514,43.98731134487834,42.037538767148774,44.94677709127464,42.71985283957814,39.10627673134119,40.72505462098323,42.746046107568255,38.16277732488834,36.13356957265778,40.02674109357772,40.551353740025995,34.775404181173236,36.13886408392325,38.543325119383574,34.82917359420953,32.388310065839995,36.473652575958845,36.9620798895233,41.48566419943304,42.745602914684106,43.154832173219184,45.75176029890733,50.8208732554601,53.93840329498222,55.853972984210834,55.35898683830786,55.06936112729504,56.813493825097154,53.7346482923844,58.19417047789856,57.57561917339999,51.838942107372006,54.48274316534026,58.384794745811604,54.60847355381464,52.011153032095315,54.60761547278078,55.25530266309856,51.07332972978825,49.342269030928605,46.843870622183836,48.08836968500794,51.11458993466705,50.00693860868285,51.15869783483105,52.955876945938854,49.69119112490537,47.038093388091056,48.463714260795335,47.47583075348552,43.17694108852579,43.05373784078617,43.910732323145204,41.12826099688056,39.395643064183815,44.0447732014978,43.09439228375587,38.50749482210014,41.30075945771771,45.224687655060706,45.21856972598878,48.26084938118382,47.62157192671141,51.73472279103212,50.14796043147529,45.10778082094853,49.0393374252809,50.72674546814904,47.580612171278105,46.47066756137078,52.33939822713055,51.294690386598525,46.09128770350616,48.49268085937156,53.1904657091898,50.89799203909584,47.20127939632995,42.53170892810512,46.17365288621016,41.93847694231865,42.41613888508743,37.16894795144648,37.27436259397329,32.753145503020086,32.588894256472635,34.68482573563442,37.857179477819244,38.50086574029692,40.05349967077227,35.84343874721399,38.48224780583267,33.65994813447608,33.23426102255986,35.61363413916265,36.85923695372627,35.24099415591866,31.51696659180819,32.36858332756369,31.967779637993658,28.457156069761147,27.05222591609469,29.144532991494142,28.635471008555832,29.56877467710724,31.87569712407103,33.75960479337703],[25.628642330697637,25.312139685960283,27.08259533339464,21.873197917707355,25.649407193149887,23.21597078988882,23.272198754125448,26.352176253254637,22.65416144612867,22.117087737223937,22.915007508708836,26.668493808690496,26.679288344468887,22.4622136599821,26.60942093156973,29.415576092843267,27.808185536031143,30.680986602555176,31.676782309287287,35.52825564914358,37.566709995722945,42.020306373482484,41.80036602091455,41.24947155984742,39.27824265561257,34.994087262870856,34.75476213936618,31.126147830239724,32.23150453721475,32.98810588412661,33.43263050163331,35.30589238255587,37.78333953830365,40.65907314249618,39.45183137347784,37.28885674809488,38.220485378078045,38.090925897385766,38.35079753726369,44.842454264154526,41.12852981387333,40.721115920799804,45.20264893820011,45.344885257402325,46.47262660699086,45.75555729509795,49.92535262391137,49.62065084972809,45.927624020023536,50.59298426329791,53.23089486898225,50.28385063876217,53.88024434552746,48.73269634691744,54.13681466601233,55.136495064784,50.64600898423551,50.031757026650304,54.31325765544854,53.41880485494259,48.617305195856446,49.03212454228333,46.82321876611477,47.29770128388603,45.87800455577306,42.8075367390295,38.11776045225429,35.87895321325912,31.68500006604313,29.461502707028394,27.5228679280653,28.253696809787577,31.44749285091127,35.3464696824773,36.15378059747807,42.090578946532986,42.5517987439113,45.59568207188969,45.55575887417779,47.41319155629031,46.908705710926895,47.63599604018703,45.87823990153053,47.1283264927808,44.14474327226015,42.00854566077475,42.4276801150699,43.33855814765754,41.10245749103662,43.69434377077708,40.08120735182142,41.565397667798074,38.26302175713379,37.0702151656179,32.83337608581291,31.91607627324307,28.100141976048675,33.00982815008936,31.834728603156144,34.812572319391535,36.534420176574734,37.93495908569409,39.0602261572822,39.08285628944033,42.828530520300816,38.69861851109628,42.249169415194146,41.72988191036141,38.25478691495292,37.65244358247117,32.87500156677719,31.74543482014805,27.51498650701727,27.128800506665137,24.948895799224868,24.43005655290533,26.23897919523786,25.881887399032166,28.05986588391304,27.04424766199592,23.517912820208473,22.02874026319407,20.478610125712915,20.77092474258307,21.157313471606315,25.126516657760718,27.093600364763194,30.19406968243073,33.60567920878862,37.54522105407046,37.82685876822458,42.297948592154164,42.12705329295496,42.67709405500568,38.28493334878572,33.81799997547448,32.75425037321704,29.866482117239944,27.08007371875815,29.060886694549634,29.280137641101184,32.78509465617879,30.99141919104049,30.209973043302508,33.92737710200127,32.50938669567581,30.029815434462492,30.084554525140465,31.248579398596316,28.582553693950043,31.61012747372872,29.831081759908116,34.78278513175714,33.221648170455346,32.82046361466151,34.19430727728479,31.919583920793464,34.23697003661755,33.49373293685007,35.22742108391676,34.53922701072974,35.455594115233325,33.577958468366006,38.05564317812514,38.86382996923929,36.00636647266206,39.69778561343687,41.02262479948432,39.07540805182153,35.2370771860184,36.249355659218374,33.90630743563225,37.68412661572763,38.757311164591734,39.477173904654066,40.85198045394095,38.240679611589925,43.7981778504584,43.24246834530947,44.78442898037949,43.16989260556681,40.786191480686206,45.02094177673921,47.28385415694007,44.144577301503205,46.56854341089812,44.814635310190376,48.928567057382466,46.440846032295624,47.99024586049053,48.16930853081543,45.597557341146555,45.241045783764505,43.76495856366872,44.92849046326066,45.83046645544303,41.37294589262095,43.291274143438976,41.126579637631856,39.72952469545838,42.666227604251546,40.983795696600396,37.15566520985937,38.298432232326604,40.7839022169815,36.471921781694526,33.620564586920224,37.75800678221462,39.08634026518251,33.05781618404591,34.0385006278974,36.84925009351993,33.61746205621178,30.57925288258128,34.473909776203165,34.4678158288367,39.50494763637565,39.754714846352144,40.54296607241272,43.49351377080974,48.398144669477006,51.716300557797574,53.52816670695982,53.403488814600784,52.98893823019391,54.89158546358264,51.918722623528765,56.13546635653215,55.21115718584454,49.389304856698885,52.17595287300617,55.70908437005739,51.689248291965214,49.187732311157525,51.6926694414345,51.912464375538455,47.74464408203615,46.12448289510155,43.93718081378316,45.75086597383164,48.912992078901155,48.120250228073886,49.72282678241468,51.894856962475124,48.80535434106655,45.68854049020451,47.41612829465251,46.94518076544209,42.41740328944854,41.96597251092523,43.37270997917095,40.8415370965053,38.58058573287187,43.24812366718003,42.77217078472342,38.15836151475552,40.36771390748745,44.345837904477975,43.895011643837876,46.96139011283214,46.21875572796646,50.10906098023955,48.39529310306962,43.15485069201576,46.93734104128416,48.37258373413429,45.12121068354333,43.807337967847964,49.560248240462535,48.28977156763459,42.93365425594361,45.25381969042128,49.825520221255964,47.355029376424696,43.55671033814668,38.888016645551794,42.18469145294533,37.86562944346338,38.852323639895545,33.60685753164763,34.20089339865929,29.987053671575815,29.057024970251664,31.067755507708817,33.917587568784235,34.735186921034185,36.826360395125434,32.90211626237238,35.852685844390685,31.24020236844011,31.229464900320682,34.384407416665866,35.98883963033797,34.866373868076366,30.501940126478075,31.468506302860526,31.87692205603694,28.185912262216576,26.225395922153016,28.951312192484206,29.290068699386747,30.287448141250685,32.85764995448266,34.95587222563609],[23.83834312876143,24.030742503859575,26.68309635402759,21.92511562237091,26.741027573618354,24.668461733112515,25.750079157025084,29.165729028728595,26.02210639216979,26.359192014404705,27.541167345125345,30.991259482148152,31.321960455564238,27.52325140647009,31.957487618637057,34.59709208700045,33.00246982446568,36.22680867632145,37.34950778616847,41.019470856538994,43.18199793502718,47.51868898652104,47.33604889612276,46.56486105670544,44.49050861461067,40.311716322139695,39.86621983783352,36.20332712694339,37.428913582055735,37.99288030387106,38.98062082066987,40.337931007798126,42.96288924876301,46.12096873180124,44.748299373469244,42.670286681895796,43.17781991118731,43.15029460600866,43.160043117646914,49.548971895401124,45.86031875530121,45.88320588195885,50.38533899355642,50.28499574140535,51.40599924845795,50.371703104018934,54.56824621273186,54.410700195935306,50.40368338169948,54.81667487806203,57.60678204968186,54.850961586994664,58.67149812915453,53.51126531348074,59.055412384988585,60.2391910709574,55.78421620688064,55.283716510284435,59.70091719376466,58.768537759359695,54.11203645066924,54.75098574651472,52.60007081840237,53.21016465862515,51.61580394251684,48.462731714171134,43.98416311307607,41.71036663274809,37.64914635370962,35.43290000527482,33.586355001679316,34.46785698134863,37.59025258431625,41.47428865855239,42.123386775134264,48.12677905811417,48.38217596780175,51.39292491046458,51.16775969817492,52.89294433207719,52.11619860693531,52.550317897164646,50.512920487455226,51.52423383521538,48.52215679706563,46.706122071317914,47.52636150975327,48.41176077398586,46.56176675018996,49.24128867808152,45.8116676120952,47.48190080062567,44.082674660166475,42.66610614620275,38.29878163924681,37.41791327557689,33.46430644740415,38.01641574157766,36.4358163630134,38.802827623254956,40.96916241700584,41.65584601514688,43.22364693371325,42.545146577840896,46.18351272449539,41.599935450928015,44.709167857177206,43.8870072610911,40.03757807286268,39.83852673380685,34.94407314666731,34.62439366734805,30.63370011242421,30.603615520184267,29.249759286689766,28.740501355885954,31.119733958469148,30.616065156367313,33.46302921914049,32.540791291775925,28.980718606531376,27.219697937879157,25.1227310883452,24.926313430927,24.68518253380249,28.085769676888102,29.318392522363137,32.58504093150316,35.66518917061535,40.047104566541705,39.65869490008924,44.173697375111566,44.372138520958195,45.33555628149957,40.874826512344804,36.59541470700344,34.691715293564855,32.55177359659333,30.13893197890227,32.70624270804043,33.1025307735979,37.02215367579565,35.66012411465827,34.61204985334461,38.48659394040433,37.1573779653868,34.420713098781924,34.372835442492615,35.05725958793064,32.21840253638932,34.67443975938129,32.97431817790012,37.69237101083425,35.82543224514532,36.178780340825696,37.79095786022291,35.84006519658451,37.7690978946683,37.63045017613442,38.75467167292542,38.19231509006172,39.797925229803155,37.59736433673308,42.25469671315895,42.6003872602847,39.32425153532912,42.695056890083805,43.700232789336575,41.29515362383366,37.76015441627714,38.86054596055581,37.025807891545405,41.14682231935357,42.42403547997183,43.45426454882588,44.769322726157334,42.55454961390638,48.023669268000475,47.468005125180234,48.686196968895366,46.931839721220264,44.09885869444523,48.17727414710145,50.41724143684972,47.45298123035386,50.388844404621516,49.088023990875385,52.98937754449288,50.43486262078593,51.59170235105436,51.36910645419055,48.89464514959219,47.98225906535562,46.19997761627995,47.055724911242606,47.46442790360051,42.830280903361036,44.46746683855471,41.80905531829932,40.76752989569315,43.0847703394213,41.6682484606803,37.95334728570827,38.3200740081008,40.65092878170268,36.520664330158965,33.17041893681291,36.935452903583275,38.45684554566798,32.278288870090414,32.666693850137676,35.288395622093276,32.367258668199334,28.85495221040751,32.1610255324284,32.328219244213216,37.243768933673024,37.480890847253825,38.82555926675252,41.643767995121365,46.66763182510819,49.553207275092305,51.89465193787704,52.230513724570095,52.21306867302439,54.49775231057019,51.96547311497016,56.1987246660606,54.78228065147045,49.234912886546255,52.45093439770228,55.65419946341258,51.46168121811427,49.38655080555251,52.19944672779589,51.80808036351202,47.48870553118102,46.722546227845484,44.19170701111533,46.74270913047973,49.70559976902977,48.59798864693743,50.58985875508209,52.54470393817487,49.94976347865328,46.554279955887495,47.75314182490925,47.68567497886219,43.329176152628634,42.208320350332244,43.475542772668646,41.03765636420444,38.40000725540628,42.699729072455014,42.19002420217262,37.444581932554605,39.200981116166716,43.087305924680216,42.6808876650357,46.09782294316817,45.85084417002651,49.550592805240726,47.25830984595609,42.27799113486588,46.41004406924367,47.305742343583276,43.862482018230956,43.10825244853404,48.69161152202373,46.80552910690485,41.65902706649758,44.50199433588468,48.6386632831455,45.689779902850645,42.021875169598935,37.306187006091115,40.11666768177882,35.56921591682083,36.34551327954488,31.446648763348108,32.65891278718501,28.667717729173443,27.29323961229715,29.82287483269371,32.573111488283296,34.044096585853694,36.33504182196771,33.2145762528859,36.68466250155049,32.551387355883755,31.910933266056258,35.564438771335176,36.8071890830006,36.334973684405306,31.747770910570512,31.822559752339803,32.605862795004,29.72046698950182,26.59281005876713,28.909898451386404,29.848880199265878,31.0701735505535,33.621229568104695,35.7652907063092],[21.704932021391794,21.198548675882027,23.1609858666171,17.997857426298097,22.398711280083624,21.119285070739803,22.011221089802348,25.804892701065032,23.073244114161284,23.168697062282842,24.88344998276655,28.475124118736144,28.12937830735103,24.557473306092433,29.30991221786206,31.65342396076578,29.614719787057446,33.005510372254555,34.0347908454823,37.489721543304114,39.720668194987745,43.890729962886795,43.771607694573525,42.81676241884702,40.59790337118912,36.541920472558665,35.93350992082831,32.33207161736094,33.84474383230482,34.57082847687463,36.23387308460217,37.36299629822672,40.36562269994564,43.46453224393833,41.6964059880948,39.40311943533267,39.69144557314292,39.3488033271636,39.08960112629209,45.377982139019,41.6119896609589,41.95203923282341,46.45352970025661,46.13600798953865,47.26662713739093,46.05285079091097,50.25830639965295,50.14426647992048,45.96007115059587,50.23811099994903,53.09538453130335,50.463762650952155,54.43097439065004,49.31394653708353,55.00437647309611,56.22757481638504,51.797504115808245,51.4974964508081,55.99314507433942,54.94442921750542,50.46396856575275,51.427650363069205,49.466450081853324,50.16720437613146,48.27737978638034,45.08204526442975,40.902362887416075,38.70977640472122,34.825005508003535,32.86820301761476,31.077368853442337,32.42904061044484,35.42375667666811,39.03214565524453,39.548371705306515,45.67484408599189,45.44106866637852,48.60843432566375,48.02702698905048,49.444634467949484,48.574713413358786,48.664148198390066,46.68373702755829,47.41656103798891,44.2721395132141,42.74202934528443,43.760957568513085,44.92203505358594,43.22927766818698,46.32454699310645,43.08407031888955,45.15948869224619,41.85588861979021,40.45840355445163,35.94847214844851,35.54342666686192,31.41645191156699,35.650584454037215,33.930294755475444,36.44910478387025,38.06618735145544,38.51005055797198,39.75535278242523,38.863546954176236,42.14601236693134,37.46903968231236,40.55562615549777,39.504091168148065,35.726293035583105,35.75528671851977,30.85956356829976,30.410648723112462,26.64350511274021,26.303875287251692,25.30960005736466,24.520581293953956,27.163129077420685,26.462033689166727,29.852367974742872,29.11846138941462,25.54081860306634,23.695637497444544,21.056863748883373,20.753698902515833,20.568160117374273,23.54576904915184,25.110906025711376,28.092314444745156,31.153472244767872,35.53815707470197,34.95068827120836,39.511257362140455,39.56427768066885,40.709098809976176,36.087943767110936,31.86566223097083,29.803212319457423,27.67474636453841,25.284083155848,28.00992812601631,28.469448573072963,32.55161910222664,31.41023734406044,30.229067600629108,34.1924961936821,33.057746425297175,30.218832141332374,30.407449863748962,31.067894907244398,28.54233527853234,31.104904361496878,29.978365417788822,34.83514159782631,33.67032486466094,33.95281036012066,35.06669339394577,32.81258218437328,34.38884661683385,34.13835657471145,34.80343932665604,33.86779343271847,35.6697805830233,33.11145496944234,37.833081933157736,37.91145574006272,34.47022992002853,37.78028522895293,38.710490847026094,36.270846116946,32.76677916585031,33.91815036508501,32.19865482249385,36.46277595632245,37.917531756992666,39.169753262022205,40.688089329799595,38.73552118971318,44.20187331226573,43.34227780621007,44.488178981997905,42.4426791986319,39.69116192317365,43.54804849769597,45.679449724615786,42.71377055294432,45.741265297708104,44.620679033101915,48.36888819984559,45.769198248723974,46.788718442612414,46.45973643291913,44.03815305943478,43.03199096218629,41.25326244470604,42.13543499791749,42.57255373698206,37.98890258354842,39.76706420002547,37.245073130492166,36.35255141291527,38.874336456896636,37.665391858834134,33.82150127021019,34.214498550376156,36.85272264343776,32.84309155162437,29.256168247957874,33.30821709484021,35.221931271747465,29.0255815470123,29.475755140063672,32.44967168023374,29.727481530071074,26.12601049520618,29.62824869174511,29.349769802653874,34.63472228987124,34.265175441819615,35.471792893944176,38.56170411141605,43.39382862686002,46.653526809209524,48.59964913653445,48.88913357973817,48.59178311868868,50.77042574857573,48.10962226387109,52.19042676522813,50.834903809549054,45.139729123508786,48.24283216323935,51.39416896934237,47.17251800415651,44.97723637360958,47.63948057028954,47.30484800135082,43.05404295417281,42.034599236829976,39.74060359902783,42.296385645699544,45.373693241641966,44.544628019529185,46.63117399625266,48.87880862463097,46.2193590295065,42.67076733175812,44.25418769448514,44.352005966474245,39.81820666577578,38.7707190182359,40.45723258256075,38.17946598936953,35.38265850619664,39.83459620175049,39.68963495905352,35.06124543115651,36.62018517594736,40.55828631045142,39.818293045481795,43.02956941283148,42.463986760116086,46.0964753331957,44.041661598950604,38.829774915602194,42.67813750487093,43.698532921914456,40.3129726322891,39.17003058126246,44.76022758403034,43.08691806694139,37.768318713794756,40.31623198457314,44.60454510662498,41.837708285714434,38.06139559631455,33.37499406268128,36.33663528140667,31.901867568324928,33.00573649082825,27.89460635431783,28.984952151896323,25.07536919425375,23.536191295432364,25.741430060758983,28.411651238784422,29.642611491204768,32.05916117047593,28.777470375003347,32.20459626598331,28.077903466773083,27.855051608171213,31.75347980001311,33.337057918684415,32.96635016274247,28.113811682166457,28.60306743409105,29.79191008870648,26.54251963711159,23.54588311045057,26.46887752834751,27.757098670778767,28.91348393298909,31.643836195454348,33.896590013985666],[24.194593308437,23.583108094901256,25.513048149160372,20.44343164547606,24.749488070196758,24.53571621180278,25.536150226587463,29.608983467496063,27.22404818036485,27.119867034973364,29.05415151857921,32.74742567686557,31.94371591545132,28.39130108152695,33.18282580660213,35.41383330263914,32.948507646804664,36.165526346698,36.66219843511267,40.149338310303754,42.07464528931988,46.124007532854314,45.72062196552785,44.45414791501237,42.46685887787385,38.57481844530496,38.24341848888691,34.93231189752411,36.90003509435967,37.99482873361605,39.88120222483291,41.156860967587164,44.324569326001374,47.227126046823656,45.27633817039825,42.70411168904007,43.059368984902626,42.18298612898249,41.63487832827551,47.80544130933077,43.66800142248728,44.20100183969143,48.68401456283733,48.0115280836708,48.79958146298236,47.26615119419077,51.41956749554781,51.725830390792325,47.51846576908019,51.47992085308976,54.669782998491804,52.31448726021753,56.492311148906005,51.56053821470623,57.48439285207473,58.46902807583865,53.99222251494574,54.09904113476305,58.53222526292625,57.094173613647236,52.78303535901814,54.06382260524879,52.37423008766247,52.768489111273205,50.67889769595435,47.735932978525355,43.51155225536513,41.68174417306635,37.6453695970199,36.11221601096788,34.08509889139796,35.36423335284449,38.62749969951548,41.93221925635948,42.795992580254726,48.901195909125796,48.53339635506865,51.94176272082017,51.21725781883603,52.37200097007144,51.68173114197226,51.49262365236201,49.78467485100318,50.215115779580934,46.819507927276135,45.61451267912847,46.621644260858474,48.20206962268108,46.35836360358064,49.82044656524704,46.55848516035421,48.695235206925766,45.565316199366166,44.372931389776426,39.89544469628809,39.65022296823694,35.5544873549943,39.80486404828433,38.13622572113397,40.781425787150845,42.0753547570015,42.41524419998867,43.386858476207856,42.33865136873366,45.221943043861664,40.4256038346235,43.3614746040672,41.920310735026185,38.15125178624547,38.61723989464077,33.7550480131823,33.34321848551295,29.92029455944713,29.18060556596449,28.497941170698724,27.203923857250686,29.821797791631585,28.49208637941335,32.0486941306287,31.942784617764403,28.332860552829075,26.820380462969577,23.679289983636423,23.66453610667215,23.78813121496519,26.09504277277347,28.015874023720617,30.570206925873904,33.449503911632426,37.8997399170101,36.722269530339766,41.335576850264594,41.189822335603985,42.833437603229854,37.88064820719257,33.869417012412505,31.23267862293432,29.277442649681962,26.798394620916465,29.757736618167787,29.56247092464478,33.75782161936482,33.19216372812876,32.23385298759537,36.36617879765992,35.70969355200842,32.8788072312414,33.53167615353743,34.27446583459992,32.11584842356408,34.71333512768885,34.007096127282956,38.869038096638604,37.98900551366013,38.33858558906477,39.2369449206677,36.82557139727716,38.15114044193379,37.78517120321136,38.0407257158454,36.60031430461594,38.49386594419683,35.34295228289186,40.09821983998424,39.65841911382063,35.638450798891434,38.97947944171527,39.371832650384974,36.93118639527106,33.63284568420962,35.16646932580896,33.82508381735243,38.435500599799084,40.27141186811943,41.85827649243288,43.69388119847259,41.99397792527989,47.45327096203939,46.1930764403242,47.31082957537178,44.78337044457042,42.27119969302465,45.68190253495935,47.53435334615439,44.54296974470078,47.59312767822771,46.65653408398102,50.02760657132476,46.962273130609155,47.99871050082827,47.3877405812364,45.349069138614645,44.14062105359043,42.42964084799636,43.345355147151196,43.64278841399884,39.17376717910341,41.11394837565435,38.56826952662628,38.22396812947055,40.60827608000167,39.88997913249917,36.0099957077063,35.872817917849176,38.77001545276566,35.10851180522342,30.89531584504397,34.91179887101009,37.41007141274406,31.194420173096645,31.16808310213525,34.27704516298306,32.063588503296415,28.04625385405869,31.04948803447466,30.45787908982809,35.941651213073314,34.74291052286224,36.457720179629526,39.71736768488166,44.37027320694208,47.58351631051289,49.60183283584297,50.314458423607334,50.03877701569175,52.39995630435235,49.95367918929043,53.7987834089062,52.113815261973755,46.496283909124045,49.75240460781712,52.491209351315455,48.07982779209393,46.08965037393507,48.67649662341167,47.839882969018994,43.642808397433626,42.90233123519387,40.891819894072434,43.99933702743609,47.100855332036154,46.47782846614054,48.91787577614835,51.34718110124154,48.91691812098172,45.08555148231612,46.7441826919249,47.22937557930068,42.67467937855777,41.32426695565332,43.27413522379076,41.20120498728739,38.08804607639781,42.355856496434335,42.470050080681965,37.89314903373847,38.953854385766284,42.811647721304254,41.82399171330926,45.09189020369449,44.59894773937679,47.968307114906274,45.698943443357294,40.51903142802284,44.26881990799427,44.929922388609654,41.46673141549092,40.33603522071472,45.674810189971645,43.652898596636106,38.359506281591024,40.92541279355776,44.898809708918215,41.852315413104044,38.08187256821702,33.48203779320135,35.82460693867902,31.29041288790572,32.858784750053424,28.03064075306761,29.809432446472396,26.417190946038236,24.035458929673375,26.23410268301315,28.40794185111935,29.994523280358674,32.94829400995141,30.23076500032118,33.900766674846444,30.17260528244103,30.195882753219813,34.565962318916824,36.26787941774933,36.28513085804937,31.19929912491741,31.582593304012615,33.23112171796459,30.13328591525157,26.788326729704984,29.81216893238796,31.541033620670976,32.715999902314415,35.434751335912686,37.729320925852576],[21.654212097201494,20.939650470906933,22.94602266723366,18.244844653415893,22.816450593901372,23.255198472426255,24.77625576881668,29.0525801982508,27.293603854891163,27.65106774976216,29.974473080311814,33.42820523826267,32.59743777459694,29.52814195294441,34.52685843915574,36.48196448242431,33.96863354474342,37.49678843793654,38.20639990068614,41.36873641130307,43.50284014669895,47.35427159340722,47.12858449864386,45.72716108142072,43.51664121186806,39.785941494864296,39.113552113855,35.789299528437795,37.80990708169483,38.72729413676013,41.25643572885859,41.997147080226775,45.3872156260476,48.47193107158537,46.25719088065645,43.74137232048224,43.64946965401012,42.8420949159219,42.057075140071156,48.02926534920267,44.052756903212895,45.02352405164632,49.46348003932881,48.611872788468915,49.51489363832699,47.76590083352253,51.908296794815534,52.19570253002225,47.699112234051924,51.4381429370754,54.633664749974265,52.43502854724728,56.75438744148826,51.83336933412372,57.809632261905456,59.02986426628998,54.65548813373896,54.82720297185292,59.39063081069985,58.004968621289784,53.88895407241357,55.40640358830058,53.79176802217335,54.448886076377185,52.144678548546395,49.05557050825002,45.22539302461519,43.30930465236046,39.57547744333486,38.05681804498049,36.238021414837576,37.8789419210377,40.88633720507025,44.10551772539138,44.64844569446556,50.82060383368891,50.07375997237495,53.43822212865113,52.426124166238125,53.379248461246924,52.38460063483678,51.865701037299246,49.926111549575474,50.09877629447724,46.72720533672645,45.84802876097857,47.253260666168444,48.82602820075063,47.41876018910255,51.030077483404085,48.04318418142777,50.50277176028573,47.32946086418198,45.945729770917815,41.343677092893586,41.33865600202933,37.10594011489344,40.89096563255745,38.8983970544954,41.16067994321059,42.4855519841477,42.224188296229734,43.35770144663014,41.75183455096091,44.38736985106243,39.32592178032959,41.90404703521647,40.20912766176346,36.280323114606794,37.088067331663204,32.26395408512943,32.36853591324793,29.29696253359701,28.750706712887904,28.800283710572405,27.55434045079174,30.62276706764681,29.33793130383203,33.50027868508814,33.3390249981491,29.812528588397868,28.022685350662346,24.54221472307244,24.052787633205874,23.693905078834558,25.364777917594925,26.774693868203446,29.25571897781166,31.8120483346979,36.46677010176182,34.81236342939393,39.37998049606445,39.482659787810036,41.40120705819586,36.48315707237907,32.70591900046467,29.527772988986612,28.213073048595515,26.182893724739795,29.505858581638268,29.712161530428116,34.15302460379439,33.86135889345104,32.57687791664136,36.70659212629663,36.09162758107802,33.09290416728915,33.656217791056775,34.00498496743122,31.88625151611387,34.066844455379126,33.68567493460468,38.34922727632052,37.65555056638629,38.422645885309024,39.211515850150775,36.92503508661087,37.813492647216556,37.82910530115187,37.48647919690025,36.079030256568636,38.51957953587089,35.17318059899186,39.9770588270161,39.19129045653021,35.02054340144966,37.97212492118334,38.21974300347751,35.4283013518853,32.424933824035065,33.907518093342404,32.97497531079825,37.718374267761206,39.66772485747985,41.492814280885526,43.28454112835325,41.98703018439341,47.29348378488485,45.98286553550591,46.810352939092844,44.17964948878624,41.35994080639607,44.57525007181195,46.392177323309575,43.59147982060352,47.03906302872807,46.51663387254713,49.70576353183319,46.76566158659308,47.38057676214156,46.484446794500776,44.46162967111172,42.832726888182684,40.88728875174554,41.54678262091706,41.500731911197626,36.96962084389029,38.70226441509399,35.904991634657044,35.830028642075355,37.85578893887687,37.395779910937605,33.60663280689407,32.98803559593542,35.874963399962326,32.455254133802825,27.89722441763269,31.73635560966002,34.51669571122797,28.334252182664006,27.959647055994193,31.091035908541212,29.246694113018066,24.98053858769689,27.646257659772818,26.897983336894285,32.436005863384814,30.910072092459895,32.85561517559928,36.13997860811207,40.72105665352581,43.855232151494754,45.96551894136515,46.894384154636676,46.71721357158685,49.23273272503207,47.00749915520925,50.77355070136399,48.846824673716455,43.37923944319404,46.81577494645588,49.33362337847341,44.856387970828045,43.09043434046459,45.80664522131422,44.65745419456016,40.41193314785828,40.12707149129037,37.96496231606487,41.482895120285576,44.4590800935729,43.74685763424022,46.43373109240034,48.8278053342117,46.701059206714824,42.67866631915637,44.165417862023,44.97289375378107,40.50397488459389,38.795603962611736,40.84734357731687,38.952830077249594,35.57964460212625,39.632456049534966,39.93106219488376,35.427631540651994,36.076199807115,39.84776965092247,38.71088624722518,42.033509025401415,41.67787991827345,44.86360792380765,42.39778928156411,37.31476704632575,41.0957108943143,41.49414416103609,37.980199905015006,37.01952892896107,42.221356896997456,39.96095092233688,34.758916608321435,37.49837159677188,41.26543011314934,38.05430198718626,34.34085562604265,29.75763110371391,31.91087627306249,27.32721954504427,28.867535137284857,24.18201646917349,26.249989135082192,23.131267540563318,20.41092087575475,22.748402132137944,24.80734353979199,26.684119028913052,29.733350051966976,27.524833915680126,31.436543153611115,28.12791026167002,27.897118417006155,32.59126744873603,34.18810418608485,34.667704736990764,29.45220074694062,29.470719617289244,31.529939232078846,28.84241050438619,24.96771826553659,27.965373437185843,30.201619527789102,31.42999979340437,34.1605928727804,36.47613433833596],[20.824071911918182,19.388208251978075,20.46241786385804,15.40147841208048,19.208263561384978,20.46243801285958,21.623881633415316,26.078908272179614,24.692773673629176,24.744898757379143,27.404532497171836,30.888242514694085,29.484006696115557,26.684950276540977,31.76114678537787,33.43419594282914,30.612259959580932,34.18309816651878,34.818377386960236,37.74626899081992,39.92064387873435,43.59924989100802,43.45450890898451,41.95096630791336,39.623377840187295,36.03120854388401,35.21576361430037,31.991025786756946,34.202920049867515,35.2469407088829,38.24302158707905,38.82298901835595,42.44729668061155,45.41967177213818,42.93603127343456,40.281166093175344,40.041571261808016,38.98586346563776,38.009345972467734,43.85503567149682,39.86199728290104,41.05481264857028,45.451883005340775,44.46922117998342,45.405666894213304,43.568241974220214,47.700559669498915,47.969379600849514,43.37223841204768,47.031103155891365,50.229865529379154,48.102183189837476,52.487568574437866,47.61573773479755,53.652557484246834,54.89771396268523,50.56759523936686,50.86401628557997,55.455255937247784,54.018627891879696,50.049273866435875,51.78027443113663,50.310636802049004,51.051234661951575,48.55345415477879,45.44677962092214,41.90448304608591,40.06285307100511,36.548959510628585,35.25368805386788,33.53643193300821,35.517954702007835,38.337511127343156,41.29458561479876,41.703850077110225,47.88204889792214,46.77323092375311,50.21421390195145,48.94888497494863,49.66833860347678,48.62112166646065,47.86296181353135,46.00514909785729,45.981202955740876,42.52284630175969,41.85031080441185,43.37333007459344,45.14548463728692,43.85597293311005,47.739831199121824,44.928541409730535,47.660873621582304,44.60653443428031,43.269853058208085,38.64629034328565,39.008860864383486,34.74711182583376,38.226297552081746,36.202512871174,38.61374979086752,39.421874422794765,39.05463006971505,39.85003779113775,38.174793695258636,40.49761937182252,35.46237913701878,38.075937420287026,36.23796378819017,32.455987597391186,33.398564204514656,28.64281219556145,28.510224362665173,25.687091793572122,24.81039360067022,25.149099450439085,23.667829166838793,26.874093624672785,25.459691363871517,29.993740234140628,29.968424565266915,26.5396781029143,24.744452059785417,20.91705885325776,20.358258508798198,20.111378894009697,21.293142633108452,23.101698338897513,25.220059511737922,27.77741544925507,32.34093978118795,30.612982622439038,35.211798539237634,35.12282217119103,37.12797324113797,32.08900358657786,28.353697336073953,25.1381729864009,23.749669906534525,21.731467907908502,25.13965675829717,25.427762263673277,29.946938084101937,29.811469343049666,28.422817210407576,32.558898194906305,32.10693850427915,29.08454005391011,29.85923192650161,30.223951372528305,28.45590954990755,30.752669991195376,30.87100807029125,35.59027827098377,35.52188828146572,36.109915686303744,36.45101693308569,33.91801417265977,34.53812028705987,34.38569140588042,33.71773361266,31.978038575452782,34.49496985310186,30.90412916210975,35.70254252266275,34.74437964526076,30.50627738242501,33.424807384009924,33.67469976239483,30.90088319150597,27.87057661752296,29.37963131397853,28.493896067448922,33.30322109896028,35.37060119753433,37.33813438795315,39.29277722074153,38.18559531727651,43.44598149259518,41.89709516818377,42.69660189499476,39.86044573239181,37.18025059655577,40.216450565164834,41.947012044396736,39.12783380420906,42.58308794804525,42.15998405836455,45.250621844957344,42.32225959104201,42.85528296552363,41.936465029760775,39.9208490441166,38.292406454116005,36.387763228715265,37.11944740347288,37.189944596097604,32.721957193993,34.639808383724294,32.06654554323193,32.052299756578755,34.39650335748623,34.06093315756048,30.148233667813763,29.72683582469201,32.91900880542839,29.58654907703123,24.954995910304493,29.133015460370235,32.18619013909678,26.09523898499246,25.937151986460595,29.38976704272278,27.65208579329939,23.521921127420487,26.487941341192936,25.31479892251776,31.13278906538539,29.131893651722315,30.7527861099529,34.28472042873088,38.648862729557536,42.205748163689044,43.83017977597557,44.56908567357116,44.05214258648487,46.37074396256591,43.92591470407442,47.56186174911318,45.82334381464363,40.16304407320984,43.39149941269331,45.959786174273965,41.50663538743139,39.52146736820658,42.04323864779041,41.10481852623467,36.94373162682318,36.21594472433249,34.33447665419772,37.683428802529974,40.8032320788693,40.40025584222853,43.067872468141424,45.74485189352836,43.46143906762015,39.38691382886706,41.31196834861756,42.15758021296919,37.531089129840105,36.0457362244095,38.46486304859112,36.69643688968987,33.31263409649768,37.545971473994676,38.14318565347388,33.81444496920149,34.41823441563715,38.22255227506772,36.81634838025526,39.85291297269839,39.10501225216697,42.27445513761268,40.175410268675705,34.85107171970573,38.28289924853765,38.94027308711559,35.543199200753556,34.089448131655914,39.346592082600324,37.45820321467216,32.04968646311672,34.376698232204944,38.416060062882956,35.519590935562725,31.669425232338444,27.125277882797075,29.603885641633095,25.216867345179153,27.098544437282314,22.12156527856744,23.846980412635187,20.779267265843473,18.04227033461262,19.86259121804269,21.87285584326186,23.31789005686734,26.44245959136115,23.883278765604746,27.6440793236875,24.271282433931773,24.579290235490934,29.371443025731693,31.32921947750111,31.76690684140867,26.432520083018094,26.996838331768387,29.30022327451736,26.21148187775792,22.755304637334525,26.281896217139323,28.628724618282074,29.73669809482483,32.564976734645334,34.90965882403634],[22.279575759515833,20.996458062744395,22.038298029916646,16.56300835887695,20.12769952692516,20.35797232850599,20.91923599118257,25.128214681467927,23.005862668969197,22.600378925323486,24.872573536341044,28.6137615087743,27.294103007015565,23.98018539357438,28.911871131112072,30.884365039696625,28.17450177439272,31.525386793359832,32.10715629598116,35.3626416578238,37.44348421346216,41.37182336139599,41.14382584996079,39.85544510768607,37.654275936810016,33.826117432290104,33.252545086753734,29.924646933473394,31.980122922544712,33.114616206218784,35.46489008524238,36.52712009226505,39.92617124501492,42.78237169405807,40.57608940881291,37.91867892426499,38.09663810182636,37.109258665829024,36.44502565702545,42.554910164410195,38.493525616761445,39.20164174999115,43.67021548802226,42.96741433614968,43.90213813677735,42.37152266990351,46.54880397560693,46.702231672682736,42.38138558785815,46.37817599223126,49.47341579771487,47.09725713702683,51.291498542690185,46.336808467062546,52.27305247354023,53.36385393113803,48.93289348051646,49.046355900583194,53.547634623653124,52.171504778920095,47.94778112715744,49.36961545362169,47.748211321843414,48.33463661286489,46.08038847581711,43.02167056268036,39.101262529264,37.22718874494419,33.44776179561096,32.02101709670758,30.161001881482257,31.875553929913004,34.86931641985458,37.99620105574373,38.604928119051735,44.764918730301616,44.02907319953191,47.46656221325533,46.50026904067677,47.484890143017886,46.676932158396205,46.31487299528535,44.603510367336824,44.92264796549835,41.499595451454525,40.40266997646155,41.54148598747017,43.21635786030183,41.53780087204351,45.20805661494267,42.130903501475,44.570070325404124,41.501716776251,40.28973381242709,35.74504410194277,35.869782582054725,31.695317261358923,35.62534696893854,33.89202619937255,36.67718244067349,37.50808264410577,37.76529428566762,38.45965421133201,37.386008204356926,40.07383640658188,35.33718961066541,38.37301308622626,36.91177109852039,33.29166627198932,33.746882881235415,28.93103209149931,28.23454189927545,24.923371926111557,23.936203354973678,23.408402544005302,21.990584522790535,24.783278076037742,23.489737831282046,27.4387336799733,27.286470719707257,23.73519610571159,22.092095945838995,18.65818731291005,18.51381752345013,18.715271915919047,20.813307430171722,23.098950403875456,25.433349457175787,28.40242785299056,32.73431148560826,31.696392795220504,36.3237617136449,36.038033984508715,37.59964074795717,32.62214568051144,28.562112188158093,26.119016259549138,23.965028006052027,21.463174429957245,24.42376850488762,24.503255399660112,28.772836021568,28.161944499580898,27.022924247809993,31.148740704277323,30.507591181505365,27.627410056139567,28.374142369688556,29.133501767874527,27.219736071711555,29.96504870681718,29.659120066614992,34.60655211924053,34.31422603565966,34.45745348000509,34.93501434785836,32.28669472772885,33.41034370922425,32.88851724048565,32.9375796988544,31.29423233202988,33.22990981150448,29.993552278521225,34.76126968549569,34.319278549139355,30.411873066934245,33.74096437620606,34.323900799421715,31.920356047098497,28.503587289302192,29.940561177455987,28.487375527905545,33.06254871333434,34.90125040888966,36.53077949678039,38.448570084979636,36.856988318247886,42.29686067494645,40.90319137065253,42.009061418215985,39.41119412988063,36.970137854170154,40.350132385831095,42.206392036379114,39.193676995913144,42.2410027293819,41.33699571023529,44.74062367396411,41.82647772245527,42.7840681520726,42.247081230836564,40.08687180498337,38.95812427798921,37.27523996177917,38.262671536320816,38.734758461674225,34.302665292911584,36.37812878953182,34.076575622296666,33.6064829320608,36.35512329564433,35.601646378819446,31.612293024477502,31.85209852627499,34.96058479958997,31.278618960106108,27.207529713824215,31.553934573069757,34.13411198557912,28.01733466042136,28.347650685173118,31.72357069440753,29.466644760028135,25.698225301358345,29.131772592881834,28.23131258980512,33.918808388899954,32.51865822126508,33.76873590451599,37.208310818223254,41.698358088161605,45.32527128327327,46.85226442601607,47.257089416396276,46.642105438676005,48.751095827247,46.027710892877515,49.81004475413089,48.41339680179174,42.592471646786876,45.588354924278185,48.50064673537307,44.182492358978934,41.91656322692185,44.32894037588277,43.864586799412585,39.74457114579224,38.47690079397562,36.65983109655467,39.407140735201665,42.641348782683146,42.26435441331942,44.572512596921754,47.228740288869396,44.573293032240414,40.778042022574674,42.85331095520079,43.26202732619351,38.55218784739818,37.519399627435014,39.760774022352265,37.75581879201125,34.72141478638902,39.22331828730234,39.564565891925575,35.14625007211764,36.29905535529711,40.21199004160448,39.027878869200535,41.995871594409685,41.09425673882891,44.52292414964765,42.67949761580162,37.26053231342007,40.69277832508725,41.71512090459892,38.39537200737933,36.7872019266533,42.24439663580624,40.69472021912429,35.21215601366456,37.36784361765275,41.69135702086304,39.04267518044036,35.15347334078407,30.583315051519094,33.415369644982185,29.116355556178824,30.841178592588257,25.677144777413137,26.90911727079713,23.406259626932165,21.30809536562832,23.01990714003036,25.300595279710016,26.34642042624877,29.169278506013676,25.92036134955431,29.337198089658852,25.39584046378546,25.88988567500913,30.20001225660244,32.23802080509406,32.0886326529021,26.939493560614498,27.922573394969923,29.686857784778322,26.107197733611503,23.29655522629658,26.846466593530874,28.575650671678392,29.630945645260105,32.46563416435892,34.78047291910916],[20.448384006358662,18.580725645878612,18.738278211348337,13.050389880856455,15.812853574141416,16.480818548840507,16.70729731782823,21.046440925039466,19.35437009146899,18.86569605537493,21.54109090242134,25.16911269536384,23.46661325685366,20.602816749971318,25.675436872735887,27.313527689545403,24.48225400870415,28.094082104746047,28.961534353609455,31.86275634921621,34.22039559197713,37.98662125461924,38.04055825957671,36.78336045130059,34.270794646120386,30.531185238088078,29.54984835792412,26.135826778091246,28.163121556920455,29.1715546360584,32.10161239904321,32.745935504989056,36.37083786146247,39.28304149207409,36.819088278271664,34.18394139970868,34.031272637698905,33.10432868234268,32.32960083851594,38.34669603440566,34.50864279207817,35.4675490459599,39.90581352125161,39.20909947832231,40.397106036554284,38.88556490348082,43.08163703577108,42.98866419314964,38.486432963651986,42.520643922271844,45.44636528590589,43.03221616412299,47.23149146153038,42.2139767966595,48.11719198225216,49.43131603546661,45.09030265585297,45.129172126239546,49.73861788746792,48.52966818594735,44.41077638316503,45.944346706197614,44.34175070855916,45.24409460956817,42.84427746079997,39.587502028961744,36.090873367996394,34.071001348946,30.688662643147374,29.273400047646955,27.713247695870557,29.91543641451592,32.4892494167362,35.4764519731901,35.676145782412014,41.869686103985444,40.735127759161095,44.11042750383407,42.88297922383448,43.71889295626071,42.66647205890776,42.116549018944916,40.25662243505962,40.46754242255192,37.09016002614879,36.11499908354889,37.508931532067756,39.15647694331833,37.81082180529208,41.6090775352887,38.798670103477725,41.57383430681069,38.5192492745916,37.185252966754234,32.56754415796211,33.05653859704626,28.80888556392245,32.2496100705273,30.34676207795958,33.08114030503968,33.58049295159211,33.58694577570567,34.14785754101909,32.90337711018357,35.43785443327551,30.68405027114304,33.73859342188741,32.27719997616848,28.740157441032085,29.181804606625967,24.40753052101358,23.587224155896816,20.41470090908173,19.343691130381625,19.18272012948772,17.798211585117155,20.952514045153542,19.90783737161126,24.372962943361212,23.99130241739131,20.585062984050374,18.635562706254177,14.939864518054952,14.346958580828378,14.332481372193099,16.13068411960023,18.5439178866604,20.748611693451146,23.765752289829432,28.046107162863972,27.146808934789547,31.767187343736186,31.485917913650994,32.927151536986166,28.01726949993364,23.91106131500992,21.63435323240954,19.443436829574274,17.112022232919767,20.15011739280889,20.86669832861365,25.237147853298453,24.519381064326936,23.024672573371735,27.08464120810577,26.341141857221835,23.349108833544605,24.026903647363607,24.63571925022503,22.88458218255939,25.620348714371463,25.71241781009121,30.65231255812436,30.894753768296088,30.968733640496506,31.07482139157444,28.29554123933633,29.13765509371282,28.62938013289325,28.379045713766068,26.677197085619248,28.83041629292145,25.59995919681972,30.394270066477244,29.973363575571927,26.28529071508495,29.45959023369247,30.324608184945486,27.842588817987895,24.354933742342254,25.56388321217082,24.029651144598226,28.531190189734655,30.310749535442316,31.975283049862462,33.87528825568055,32.45360858052401,37.83049417831512,36.40039615451916,37.40895401690413,34.83370718770061,32.28438222111962,35.70044303876528,37.62771804462239,34.65896401184138,37.83364545681449,37.04891160014259,40.52036340681571,37.90753517765051,38.65133365224676,38.1641546722547,35.79606751944754,34.657016690839704,32.90399818147333,33.865795434479914,34.42815099108797,29.976084009524598,32.066921303322424,29.925223782015323,29.269754695430596,32.28327057522386,31.45024688594177,27.40151005985175,27.99468060027594,31.21235934372249,27.51436712145615,23.676065791242596,28.24412839528176,30.807899164482706,24.86540613312871,25.540277450671134,29.074203581657116,26.79544709402302,23.35909608732434,27.122692173805415,26.007040558844558,31.735900861568567,30.299780292949215,31.06613379353361,34.5846189922516,38.92388562149366,42.86437805006272,43.97588814046561,44.07521192778403,43.19957091778529,45.08610251753097,42.13899371395507,45.89745281788622,44.76360363046309,38.80536799712457,41.581256055278686,44.681578943713255,40.481868861601775,37.99112796407072,40.2998086080382,40.20486951414367,36.14365898019079,34.46631672095062,32.70894924682546,35.10046210174622,38.40901400692566,38.17034292680622,40.34323851213276,43.14245206660122,40.32222879752521,36.57676162548925,38.94971136753476,39.28990177761831,34.484359638279166,33.710703687843775,36.166680573898276,34.23625294075638,31.293948669312602,35.95196680645391,36.47870487562182,32.24608464707001,33.46892910591888,37.38779138732255,36.06388210522235,38.754457998488235,37.525236565036785,41.00257486714413,39.530031910869965,33.96000608651282,37.12691489642077,38.47328056535112,35.305917185376316,33.335614700941505,38.88805315269945,37.77545656121641,32.196530968440186,34.01794165964023,38.63580629293153,36.3698678830299,32.438393811511716,27.937357676674498,31.258829927465868,27.245297429127586,28.94472599247293,23.57038567780859,24.179278400273024,20.58992821095693,18.955572159981838,20.19053225478857,22.627854512605083,23.128267275200937,25.67177470584487,21.925995719452423,25.08364392022302,20.950118331711856,21.781374832189588,25.990116097086055,28.279604373916744,28.022934749015988,22.851595908368598,24.32775663152972,26.198336089919728,22.2841622229576,19.959312764193587,23.916971685394568,25.674535319376528,26.61489464017047,29.524877404947315,31.836976456603733],[17.190952719801565,15.895699662645123,16.864313754300287,11.39482273331278,15.29596593998374,13.873695237072134,14.65200274698604,18.634555090603815,16.440921753541843,16.884851516869283,19.2111696583675,22.53938601251814,21.998750000527966,19.170997903107722,24.230773101399414,26.11241277952123,24.146933305422582,28.088822900436437,29.80551025087122,32.68344907712592,35.452478578759084,39.390359303418066,39.78947211085747,38.94584125435473,36.2005162329554,32.264687385911564,30.925553154572988,27.092004785103548,28.341960744530322,28.632569671711504,31.17354352814244,31.47710179780517,34.79063787325563,38.148845221128475,36.03243624735493,33.926434223520374,33.586932340181164,33.62359825155285,33.28468428127847,39.41948116347307,36.170612537372605,36.884114296552326,41.32283359961176,41.099243302804915,42.70635204177855,41.57127643528958,45.79257543205419,45.2159304607151,40.74288198778413,45.089053147191166,47.5971272682332,44.875504019314185,48.79934961448137,43.54697604267197,49.10152745485543,50.78043381292284,46.52778416199512,45.990036969141485,50.68518969190753,50.01720856035459,45.67929291392862,46.73499985620133,44.71861916895282,46.02719626681129,43.962045648190525,40.37610329219428,36.88698157296186,34.33135345670383,31.122755826217233,28.998768422083284,27.76689164035695,29.88981285688288,32.15399943052039,35.67237057994807,35.414806039727246,41.620349668524035,40.8037656779428,43.77468279511868,42.819737880325924,44.09092464245091,42.7224108615608,42.582229832294345,40.19533924548587,40.84102365129387,37.891831465628655,36.47930850757015,37.972322022086516,38.892341925569255,37.856575097024496,41.001146355848526,38.207563669644514,40.80678140463201,37.42022858025535,35.69172140961666,30.99884181966664,31.08077746978951,26.750493360476693,30.175828287376703,28.03874059671522,30.269260806811406,31.686061461862504,31.595912836737927,32.92562913580527,31.648284173489973,34.88278968025167,30.111949453039493,33.15488093189439,32.21193912471831,28.43622645507394,28.335628722735112,23.44183016795091,23.097915324154027,19.37692825822662,19.373184653058797,18.947375500628098,18.60193423781266,21.85250725620389,21.824747521047996,25.910106576567404,24.575022114081072,21.240273949505262,18.719655984117896,15.996105318665295,14.732476420433787,13.718174054905246,16.622049056807374,17.711329130377145,20.885252555243294,23.963367789678554,28.348325844557362,28.061448396594262,32.54328270231475,32.82750725255168,33.67281484614787,29.359204233960245,25.09729795945821,23.35027398182489,21.417406902409045,19.535132349723746,22.29461736544978,23.95411883781824,28.106932026321562,26.693114755550905,24.88294791857059,28.637165891530135,27.145059418974196,24.112271207444348,23.875050429412575,24.108361447153918,21.503650919433078,23.844033021385766,23.06275132425899,27.906117561513277,27.32223784323496,27.69304042823058,28.42521746030282,26.1329365774452,27.324290034804584,27.35348132690546,27.633043258967582,26.969013570502025,29.220575962896472,26.941584204338355,31.662385608454517,31.894316997524857,28.97460905156951,31.894721487488592,33.33156591863792,30.695889433640975,27.186351370200367,27.841959134024265,26.021697806740683,30.01767099337059,31.229722605690753,32.4351944408493,33.7331029182968,32.0173629320939,37.35817136386712,36.64639423450569,37.56400788498363,35.76065654810779,32.61800628720378,36.66996909362567,39.004704409617055,36.19842857494951,39.51021857980697,38.61303212261455,42.525046095914234,40.54041901174813,41.13947058551044,40.884595955569345,38.076171888455896,36.992926524455896,35.01888407861361,35.739912708150406,36.20088233386147,31.537293980041206,33.14071311234009,30.70842247833202,29.40489665161908,32.14783638190478,30.672173444282144,26.80437854397776,27.71080606836374,30.328015088282807,26.16894327311221,23.066612148623026,27.34119788140788,29.0386394996408,23.007615987740056,24.019328650889467,27.153506424401325,24.24482532853368,21.14310716976848,25.24299411957516,24.789798046909073,30.07967876744866,29.937487543111565,30.398255463945034,33.519269112062304,38.23525554343512,41.87491727395813,43.31125421511536,43.124231832807,42.53586146539521,44.423258870679255,41.4761309957978,45.61638423006959,44.632040960381,38.79351996284179,41.63685495764639,45.11846105557126,41.104468934594315,38.64315250072951,41.27342389499352,41.47969305018459,37.26637672855284,35.83437479088043,33.40214684682828,35.422620560639615,38.51624548011122,37.70215115880466,39.555314293387354,41.875763559122355,39.01485319826828,35.575442292891424,37.41048219666663,37.359018424039476,32.718307494237095,31.986397816527635,33.853834891332845,31.61104512577766,28.953124943036663,33.656919861452124,33.69118510633146,29.24892292888715,31.000867607942602,34.990245258078055,34.12819184732224,37.00851711695707,36.055416129665126,39.82316526792045,38.239806829862786,32.84355675880717,36.44985073948562,37.93441930149854,34.74507618075553,33.234243735640206,39.0048662108254,37.92535205611965,32.52368610079554,34.73817467676172,39.42745223477632,37.184279287921136,33.387984752970894,28.763955429596127,32.49594937620907,28.44529687567884,29.302391443392946,23.86954502545364,23.974359070853378,19.751091138182815,19.130914133945726,20.85509072089396,23.9141007293186,24.460074376063506,26.278990109666363,22.338331305119976,25.429758728475456,21.02441510321622,20.85140129422049,24.512602124917997,26.28868722675172,25.760110132768904,20.8734988941239,21.857127327949563,23.10741126779369,19.448023661598086,16.92276713945658,20.40454671933927,21.743914311331007,22.79389091721234,25.707300282143144,28.012758977537665],[18.25369366868528,16.625411266575185,16.60679705566921,11.276221151667306,13.66724092950888,11.425847764799611,11.066475888209347,14.764133156796534,12.214527336810601,12.221717102977705,14.626441957929357,18.04303516627161,17.31209842787539,14.559602076642973,19.655334694997737,21.452446394212227,19.628903165646765,23.70192625422754,25.81204383437749,28.529985902419224,31.531766662415574,35.468215332023725,36.117607799538405,35.5245912115839,32.589514457171674,28.609754079042393,27.015514626021172,23.0105934839522,23.92835158906065,24.026242097789794,26.58806493274429,26.789391788613525,30.12305978933585,33.49643296928006,31.376065999138106,29.369496576489997,28.99924341885209,29.295581696204223,29.16474253640267,35.35633446991911,32.39117058790495,32.93583784101964,37.344861841025434,37.39395447581786,39.26337810402614,38.4230442319202,42.63413686011622,41.70909228288091,37.33147218987363,41.924255763750125,44.1354039123146,41.19765921446375,44.92100147592534,39.57084863997873,44.94054430065316,46.7376095955814,42.537061169153624,41.736976459633546,46.44803852000872,46.0370763712534,41.624846202029694,42.50315985434511,40.3610470700716,41.89937166231674,39.92243406291447,36.17138171786543,32.85435982124016,30.07572647424963,27.140867764988638,24.837488591188578,23.89269895397068,26.284515414702575,28.16102163422134,31.698203864366587,31.110969211247145,37.30551567723405,36.4081230951553,39.2569699560798,38.30045850765624,39.66840205239235,38.21431051375134,38.2411545996706,35.777412342628544,36.63112364790147,33.830797179434505,32.16008614452324,33.6054790055586,34.32561646381091,33.36316102486863,36.382576144644965,33.66432507581124,36.356788210732326,32.94543160712151,31.144349394109224,26.42694619152039,26.668721513619637,22.313244699529136,25.572160236233447,23.46225953000213,25.929247945622375,27.09118936498887,27.270880036284748,28.449610490949446,27.52021876029953,30.961101349208224,26.481369955502874,29.858727781771698,29.2933975711156,25.79961775857009,25.21360095844016,20.421051694177283,19.489093931617315,15.428781125923251,15.467069885777285,14.550293695875338,14.640067386195103,17.83193269284822,18.4439794121273,22.350906261650625,20.496401938992697,17.334689099001675,14.500208672300259,12.299278858358488,10.689884815567492,9.523612223966488,13.283367492199845,14.618859621352287,17.88797630641754,21.262428394649497,25.269142204247736,25.7613634611885,30.116179323912654,30.295870380365137,30.602482424873287,26.575593791200095,22.128595503892708,21.334671119364657,18.910278214751884,17.033591835390872,19.252682943535504,21.474001062107824,25.298097539977146,23.350738980602532,21.380561329087435,24.882176288965624,23.019571150354604,20.049025520392423,19.51314038715031,19.86542423293703,17.17082189608634,19.864527465761714,19.01770512666773,24.051831698298184,23.812211824839427,23.6977571273027,24.183110693253617,21.68204250953032,23.072722757549553,22.846855462158256,23.52895177578004,23.064474562883706,25.020698899571705,23.263979973445842,27.863730668463646,28.614793394147235,26.3524089130553,29.304543885206137,31.253771584854317,28.88230746579544,25.172931019222467,25.468039827804144,23.162809141245322,26.688912154166722,27.547557620921435,28.42470482211667,29.578469615484224,27.603279195128934,32.993951215254356,32.461677105067544,33.511007962068184,32.031837684094654,28.95202610522548,33.323095989592595,35.82522198978918,32.97729266727203,36.05753541588672,34.908852511243516,39.11263446256142,37.50997333811605,38.19630920436926,38.28500739357996,35.198005304924436,34.49818484255467,32.648902853096345,33.49695929664775,34.31248429264042,29.76737559028048,31.4229863994229,29.388776479897448,27.56928208568853,30.777789359707768,28.91265963461331,25.053374842842118,26.797788060622963,29.34633910599416,25.02209251274998,22.74519221001004,27.146543025193083,28.40416358765392,22.760891232997214,24.412450161215496,27.50141405624289,24.310345816532095,21.95493915857418,26.45293042322117,25.99676952926542,31.047430041123057,31.229445577821405,31.042990523913023,34.08825753373233,38.64465124993968,42.537255850749304,43.52675348257851,42.849464530622555,41.97046556333855,43.481737003290704,40.17413481834229,44.34457568715511,43.85212602439889,37.88011982822747,40.31033450781254,44.15522787340754,40.40577092986873,37.59961279023487,40.02183430690913,40.87362211872957,36.81926740474575,34.70538155466711,32.408449389450496,33.60169555029863,36.77656742539568,36.104710737457296,37.51500974057719,39.90780871270861,36.63387458683912,33.529499895596146,35.71705380089338,35.243400856492904,30.52422132654685,30.43393522472231,32.3136576470097,29.990865117871977,27.785049571684695,32.73594991688284,32.745441237559895,28.525209557569482,30.72255181651819,34.69917612381893,33.88838533941729,36.39996273855923,35.04960933016121,38.98571667837614,37.951291635267744,32.473177156156595,35.75835923786469,37.757625231128245,34.824836288671605,32.93020790446883,38.79097767277829,38.329151663348924,32.92541032643249,34.68662299659966,39.70600489009033,37.97735316745843,34.20727985578003,29.762122536734605,33.96205991953433,30.289389046937153,31.05252015299885,25.5529754493113,24.871536369501474,20.541345411139453,20.735340725860333,21.898432846197817,25.06021800018944,24.90983399250644,26.20248154337862,21.519593572711642,23.94253846485372,19.079382474973855,19.31379765003489,22.23260870383484,24.248476128429463,23.07235980076617,18.517979925742186,20.352105775283817,21.133354621303702,16.74658763534713,15.584962672909796,19.32031229445494,20.027948590603916,20.830113516786263,23.734831722256285,25.97282251594353],[14.262481906212033,13.02460213100821,13.685066580370375,9.084645577246988,12.663628155023494,8.843203329367558,9.928679272440581,13.347621686136298,11.189130651679234,12.951177405459044,15.239548845378913,17.834411369868597,18.28294533289458,16.30683153739808,21.20264963280522,22.855878534151376,21.799535037111436,26.18145149028535,28.940975214566954,31.31775316165308,34.65245526308099,38.47172905189256,39.440274260860626,39.00212114677891,35.83721240502208,31.9508102736604,29.93455185688365,25.791380076001253,26.17814779814187,25.55555795847378,28.27655179532462,27.709630536027422,30.88176017370504,34.70909812029275,32.700446452874,31.21493732743388,30.31418591286583,31.39802580017548,31.375885955925675,37.35393452565085,34.97104036480691,35.6949103458021,39.990053024884645,40.20163972352613,42.382172398799,41.6100309592672,45.78096802963705,44.568386433755265,40.04005425414506,44.59699135106664,46.531486666795416,43.54989927651405,47.16412101007673,41.72556805046621,46.830164555789516,49.04485046664346,45.031032169487645,43.90030815263269,48.71029035141156,48.7049975708993,44.35096283188971,45.068532508846594,42.7279879639553,44.702564996864176,42.83090626386858,38.82687025065205,35.86312534978668,32.74022597404176,30.219514855101256,27.5284543255204,26.980926125419508,29.41906095747442,30.883548273213865,34.632135616247815,33.53335068165084,39.635767861521245,38.7188769331727,41.182365060905944,40.22779535620448,41.733614892648106,39.82466860065787,39.881875033652435,36.85304115511089,37.801565921463926,35.38502143137391,33.709554339822695,35.54418422585545,35.6930818891788,35.35434157993844,37.92984562961642,35.501711542797686,38.23759343981251,34.610454063370284,32.381946360211344,27.643595159225463,27.716695296376468,23.348358239601172,26.038334844442765,23.45486936933662,24.962845221864665,27.02187107106323,26.488036915414206,28.522247354322122,27.009347510368457,30.77813523903595,26.0693499490303,29.04555323991853,28.687043835542163,24.857772343871307,24.127432530139817,19.304165566562663,19.4090802358882,15.388045630766268,16.640433925507825,16.424770744401837,17.331021499227273,20.78970407171026,21.981084117080805,25.949634132288494,23.585586793389815,20.72207021381972,17.530367292014503,15.851952589156216,13.548535194706767,11.124584784079554,14.611906895653483,14.044748774357863,18.02925177737694,21.040666415508813,25.28407975277491,25.808153241047453,29.97232394549159,30.81806697984742,30.916609681531455,27.42856384189985,23.170663497365428,22.245865805326737,20.68554435178684,19.585436038209195,21.920480253008645,24.89595861970161,28.71918981139782,26.68623427459332,24.343762329127294,27.537446586151145,25.278563582262485,22.244774172556586,20.943368916586298,20.533094953486906,17.199124248177576,18.91154201376337,17.547859214710133,22.195360667672414,21.294500049008157,21.965976941941513,22.974167276248483,21.157445711069837,22.373007532533606,23.08161769225739,23.584372205819694,24.0469272572643,26.57162130679679,25.368171175857576,29.840701461347688,30.70432078335044,28.822918552093036,31.23461212406129,33.38926751768968,30.646737558765473,27.22313617078267,27.12198530299954,25.054309985941337,28.290849405926746,28.829191590469403,29.567727146758287,30.17796345432294,28.39323159649331,33.505123658919565,33.51159843263198,34.20350239920723,33.24359154763802,29.457917960952134,34.08703887721392,36.83612898354796,34.30607544340828,37.79717604066956,36.94354034523245,41.23334324471152,40.1447371350921,40.39360079295555,40.39234021793626,37.065698883619,36.047658930222376,33.85878477689575,34.305907852305744,34.745888642971536,30.016780114653535,31.107235079839334,28.64204032702991,26.517325982806405,29.182981471348747,26.97303109198492,23.36281701571413,24.990908160828816,26.996277506426576,22.445429254189108,20.61535562948828,24.60907092600096,25.27715292523663,19.60205688955161,21.37222316988708,24.106514419946244,20.579751365783583,18.470763452568356,23.0783538607919,23.09100214855604,27.729679946328396,28.819520384253806,28.458347279726638,31.163694075816565,35.958041630036924,39.55616247870853,40.84341148044173,40.06560905715053,39.49119705845269,41.11070345664507,37.96837802566127,42.398315847149696,41.847796783458826,36.091492456150306,38.71208642857358,42.69557582857563,39.052953611468475,36.44549579142354,39.217919869140445,40.068337410311706,35.87761439873118,34.30616462970751,31.36462746276681,32.57849699644584,35.46303514032601,34.23336066594492,35.573866797788654,37.52563319862291,34.468326700606454,31.465658599247554,33.037619896862196,32.479820834622636,27.96840909559128,27.61415205626338,29.049127973214585,26.570691876747848,24.4100560062754,29.268668758189634,28.978739686867048,24.606201516046408,27.009715752856017,30.99844995882213,30.483303605708443,33.186476400326974,32.16607927749778,36.224480425855624,34.967294179012946,29.706586587670465,33.376907899879264,35.31655763982173,32.34925505959923,30.9494398646201,36.87436231690275,36.30168372427388,31.13377100579574,33.30166156505543,38.22024498978146,36.432199729866376,32.836447222171664,28.36112227634918,32.75746390742192,29.117056892533803,29.189367203856886,23.804346328092176,22.789310674191718,18.147822309112236,19.11204858769432,20.641987215820148,24.17477306185962,24.19720689079923,24.93545585887633,20.50196971604151,23.03584541900328,18.37649994162628,17.44303195058814,20.111652025232633,21.533978092924432,20.52730822694125,16.119568488646117,17.115387338765693,17.644946045183467,13.902073778693046,11.969402343539521,15.27186927573773,16.02158494288888,17.03068679877643,20.029373505980917,22.31915531650945],[16.38032219611062,15.60512223186118,16.055392656000468,12.613175170152687,15.006081318491173,9.34228844709517,9.460676622356425,11.213697446667384,7.821283982563293,10.274126315888536,11.645625907375216,13.766666778584444,15.476792499491136,13.683478782664322,18.032573320587183,19.851944312948703,19.81143117370159,24.15762679091675,27.604963907813787,29.869408367623123,33.44243294206313,37.33055760626511,38.59053455304016,38.61515033730163,35.35921268491422,31.402044103707752,29.203376774876915,24.889264692466078,24.43392182491008,23.17989053110891,25.211762445781527,24.476947561587107,27.200330096664068,31.27456023731933,29.70291282849966,28.748037196838588,27.87832256083526,29.820405827380316,30.336565644300915,36.30675429303139,34.49394742131329,34.77052086609523,38.94420263242691,39.68525567061108,42.18479366451491,41.89815219839606,45.998383260327955,44.327786783870465,40.07895436626947,44.94463170089445,46.423376250590245,43.124506671804056,46.32105191139185,40.77596795864307,45.41364750248622,47.81700392655945,43.924824163658485,42.24248212351293,46.9898414394397,47.483264817300395,42.94726231288766,43.134181795792664,40.439402593138325,42.721701276449416,41.24255351387343,37.048819802496375,34.14927285128861,30.62253981616338,28.414559833246546,25.174922034837504,25.054610222774286,27.3921027253427,28.360601572085464,32.42280182892485,30.8831512986576,36.8104489494426,36.22173599503159,38.26243659992409,37.632683983934506,39.56469890493098,37.521961102003,38.11422596845337,34.81677790347653,36.303139018103096,34.34024100673692,32.109130815644036,33.770776473526716,33.237257777702176,33.03017702493976,34.894829996222114,32.48991783899119,34.981716500084744,31.159647215648793,28.653604927240572,24.000833537055804,23.731233550568184,19.455798333381615,22.050649846695716,19.44335514825447,20.733125820679398,23.463842121111618,23.341979297018344,25.828923110848567,24.863590189035737,29.31787511579551,25.142123270387074,28.360087684821103,28.754510422070727,25.235153039006963,23.666805433398874,19.190191852203505,19.004406502317025,14.562851506455587,16.54080516377712,15.48634607414402,17.370076834723584,20.292132592651974,22.390344951048245,25.53972346038172,22.374642825062427,19.897205061803106,16.52375602828665,16.26466913539584,13.894465837606187,11.30052249207892,15.681560295438635,14.586562715595594,18.826009361413217,21.901181570194783,25.561358431174487,27.118056587230612,30.925158525958842,31.895313928558448,31.19169960920714,28.391585409017193,24.102998728855543,24.294215809483024,22.458733773234165,21.485215037984812,23.065575898632968,26.44930491607535,29.72471156871591,27.02001681101832,24.6641084682672,27.331898299631703,24.45404620113771,21.71747969886111,19.646565849284624,19.20290351586704,15.271939121660541,16.893081299348683,14.378041639053045,18.973765951150725,17.37606277241968,17.705674634483913,19.24012300284998,17.794160089218906,19.70263779809708,20.525720266924143,22.064569190306848,23.453517206348558,25.462589543984905,25.40350608794403,29.495604949121102,31.173465223661776,30.216154162421024,32.56939011352585,35.26368256824176,32.813377122115845,29.303015143468226,28.776808135754916,26.245442144316932,28.686798775535223,28.574551508683257,28.649477450480358,28.71005474545974,26.41178857204139,31.41111864931023,32.10355764406575,32.917989907523975,32.77820264393485,28.917961182396073,34.069029824036534,37.09670528343002,34.6433440738823,37.808208575611935,36.59241752114474,41.28467433043036,40.75827238202646,41.13086065225904,41.55899102315853,37.91612509289095,37.34006682319605,35.26680329030851,35.744899187701144,36.451717056104435,31.882745240881565,32.78194749304903,30.5983779296265,27.810117049492863,30.603104741125883,27.752244082231773,24.459046691846588,26.883831076818048,28.36988717460002,23.611652637126376,23.037750025094905,26.702153286352722,26.39506777207113,21.338707865452843,23.690676785516576,25.93802553665247,21.92627092975484,20.81936218057518,25.58426014604995,26.01812890741963,29.992135427770616,32.001246717962964,31.092854253376053,33.410319695827475,38.17747114187414,41.67421601522123,42.82764081273387,41.53293383372269,40.9319522787071,42.220976426863125,38.85282237178497,43.447173150382355,43.385607875480055,37.72654590932123,39.98941281157525,44.3845232126472,41.11339692922129,38.31684402232395,41.01236506755033,42.47472557773156,38.42327260163268,36.486415503912816,33.43775431303019,33.75122654150102,36.50365191392655,35.089502094062645,35.79056105693133,37.4222608067578,34.02084270734657,31.652499981710232,33.10257171870328,31.84751162333343,27.547967073691172,27.856591119904166,28.749826552172735,25.99826470153341,24.633940294712172,29.540815806837198,28.799375434888482,24.608774171229943,27.772396622559686,31.6523349333674,31.564507934919632,34.025199442032594,32.91284380109524,37.19543376074227,36.32920046075798,31.297530689789188,34.87242792740587,37.2286684867763,34.521397425237254,33.15083391443277,39.084268232575205,38.969773750337446,34.030445882012486,36.014072835204665,41.06730517621688,39.65595817897976,36.218446490800694,31.925585228170128,36.61505526656832,33.237829304536994,32.94261441002356,27.69578777222343,26.086117507522577,21.379106654292865,23.15536011937861,24.48995437500117,28.124452601114708,27.772220549519993,27.87714983079859,23.087439101212194,24.914877833690078,20.074438406043964,18.967853377595144,20.28288521953243,21.39397872593947,19.47954608056059,16.122732708718864,17.408086760634585,16.67455819837913,12.735853077634564,12.489279698380699,15.00558529875803,14.297811024043948,15.045616391954068,17.831719822185224,19.94221343899012],[13.306843812665083,12.804541970830842,13.530489460391578,11.329770555403732,14.077539269858127,7.631947218547186,9.22093432663355,10.56821865379339,8.584960918417373,12.367463365767405,13.894621535788604,15.020363690463428,17.274287437286816,16.445647512838132,20.537493541102247,21.951847539198337,22.230684755237696,26.7609631169938,30.50357179984272,32.373328330434425,36.15136311268019,39.81526070975653,41.30447846822471,41.31814415374457,37.87227426679819,34.0999071429637,31.556417284784583,27.26734717740522,26.629807860666872,24.93605570334059,27.450932530515335,25.936477413225987,28.645825178414512,32.990693770313605,31.333618871987596,30.716185821030006,29.27649829296426,31.640761593466184,32.05423981016268,37.707641567891095,36.31968413781315,36.93404626246617,40.97667938315397,41.69167091072676,44.389239033071426,44.0278118717724,48.07672724617632,46.25544938944897,41.80938779088897,46.51466757253916,47.826170200090935,44.6030701676739,47.787727294149434,42.24408198431548,46.72018818341878,49.46761448049594,45.764535821272496,43.95815746658448,48.78776985550659,49.521132506413366,45.165370153438886,45.40722531429581,42.69361920886968,45.31104764270663,43.774369332578544,39.4310460756326,36.974981358444914,33.32034507420585,31.519248315443846,28.244784873100393,28.393353176333964,30.881216952299567,31.537559945697485,35.52717976325777,33.61609931453302,39.41751493106779,38.59145704008121,40.377956188796325,39.57635815936852,41.42616988602645,38.97824094855891,39.379483859284434,35.65554104763886,37.02816235911808,35.332655495199496,33.32190836965829,35.417835386605994,34.57467973416208,34.9921432399807,36.686870604642976,34.66770695045578,37.33799082715763,33.472478996151956,30.68886234497619,26.10549875879548,25.941329327677124,21.785961831764627,23.543382181048212,20.503087197315836,20.75333032523525,24.02325962958527,22.960159810209642,26.0909287166814,24.37753916486876,28.849876311317455,24.43696907378059,27.150092310450496,27.59878796185528,23.83277516992838,22.288823459470027,17.918842869259063,18.758933829756142,14.75333512608363,17.528217430177673,17.429078380314937,19.592251429028373,22.83374203726911,25.091454393637388,28.578214378989873,25.31071422394277,23.06534875910273,19.553453324130466,19.161604985129845,16.35690835011504,13.08213255370415,16.62052551935757,14.081679420010543,18.60479021964592,21.203417698049304,25.016275908792572,26.424856031884662,30.013159046795685,31.524971132201497,30.773832974257004,28.401818614070006,24.404741766774595,24.34087929283634,23.300981604258656,22.96516604416099,24.750814044969676,28.64139356209714,32.0106162345443,29.458566378727063,26.794807529879616,29.272853629768413,26.291333775652692,23.486314297262926,21.03208473241078,19.879944593273724,15.7464793175274,16.24876153033001,13.65409898483629,17.61675159665308,15.647542376556613,16.99861102611134,18.786952817956358,18.01018946849083,19.371583079648282,21.10147591599172,22.05961078796039,24.041288239272433,26.67398679124262,26.801894388968336,30.78190670012193,32.32239015433277,31.530364923797478,33.378013916372,36.13182485952242,33.35911971749901,30.161098865867917,29.365938046512998,27.17161261828034,29.458385555197932,29.205723272947868,29.3224907959245,29.01517821949504,27.13183868971411,31.767154459499352,32.755529022200335,33.17085420882542,33.307981254543584,28.887580165467206,34.05911044980117,37.208661614295515,35.066190974954374,38.637994004769325,37.81417161637945,42.42602608952869,42.261385433435315,42.187480857762836,42.44441254537027,38.68122539307147,37.748967243111174,35.3903528591185,35.509973627385904,35.85657774944903,31.19948049146943,31.622471432966666,29.117972780381194,26.169980599926173,28.447685502531513,25.39256405104971,22.38333105817581,24.648766548658337,25.661109624248375,20.83199335881847,20.72163507727135,23.940642357547727,23.136999761553746,18.251262957677763,20.72000841353441,22.616800165296134,18.41563186482437,17.729591857806714,22.478937383634616,23.230842508635824,26.749903312798686,29.413895581108886,28.290958953303917,30.304354112043587,35.14993746338103,38.436241898817826,39.73519951821478,38.351751174893685,37.96271140212951,39.32011611839043,36.114234904406004,40.85950555140574,40.741727810433716,35.30451410966577,37.697581953080046,42.14275195206987,38.98481334140264,36.37850553052546,39.32304423946421,40.75492153847026,36.65142069068367,35.17234500037215,31.660301563830746,32.01762182568488,34.496663081383744,32.6589763247728,33.34216883647765,34.631306826492455,31.47866000495419,29.157059220608108,30.097828739953673,28.851846983171207,24.752226340602135,24.7940678738746,25.35877453004971,22.53083185503818,21.191110769422554,25.98276927892668,25.06250173855564,20.81329084197367,24.10396747676682,27.952670165783207,28.058391403790598,30.603406754840687,29.728987653708433,34.056361169451996,33.0563250569379,28.243140115681783,32.03881416483424,34.34196872045793,31.6670191062318,30.66616248220837,36.56309269091591,36.4104960697267,31.731167521712372,33.95261266684331,38.87473974904019,37.485976672669736,34.241620357502,30.043267939591267,34.843954949683635,31.627924145004553,30.816267702189513,25.797648603813073,23.85533748163671,19.11648143277049,21.538870491368048,22.979427056573407,26.763181658035652,26.470813076771098,26.09371187584652,21.630603769179853,23.462645752777746,18.99988239405205,16.9715104115455,18.006539090989204,18.56026552585707,16.924035505469075,13.787207540515796,14.237868873109061,13.284586559008636,10.17137385619174,9.265430096463563,11.215430692116428,10.555428696603709,11.551361033990442,14.555175682818374,16.769939893578755],[15.048868276902384,15.455357640887753,16.867230350087315,15.30364867863361,18.19701059760068,11.521654214862876,12.878950469985316,13.074036612182905,10.552496383355896,14.441999970979735,14.927088852145102,15.452890312644627,18.92799243511905,18.032965105960038,21.464487010957978,23.131952520235764,24.17942845762244,28.481672111625993,32.50656527423181,34.45472101201747,38.258811947896476,42.02728470116241,43.59577962739213,43.88731529498171,40.5008543973619,36.643705057668996,34.16034133430618,29.825785742745715,28.708813749964122,26.664355465915285,28.337979693594814,26.863088775474306,28.97601302599361,33.4825549242776,32.35495620046889,32.18839838687527,30.897351536345795,33.83713429730305,34.62608304385313,40.25554250116329,39.1632643794052,39.42278784862038,43.38531521637733,44.43087673333327,47.23729887550509,47.1488032917265,51.16043549735764,49.14418718758504,44.91232543095443,49.779092748527816,50.87038543810813,47.47488565776815,50.38482432229484,44.8095648510155,48.94816603504372,51.769512700226834,48.141193497677385,45.975585175880774,50.70425776031911,51.74695273561608,47.24141859686753,47.05176988294737,44.06616456104233,46.78791637048803,45.60982308459241,41.222612259813104,38.64378447176727,34.78212137033016,33.02420623644771,29.369796373843755,29.664338465281148,31.80629355746156,32.30577911332503,36.60007393076272,34.55425575014258,40.143696510202844,39.778684142964515,41.214289583264204,40.797809830130745,43.027906140048,40.5588780480352,41.40845551832014,37.53001703244974,39.2976832941861,37.93333772910542,35.55438764051126,37.446326676602304,36.09007933028159,36.51712355312607,37.54522728541205,35.471927165797204,37.73790001744948,33.721935296670495,30.755825782214107,26.39506159313446,25.672124044330584,21.7873205685382,23.607282326254396,20.682604919943195,20.4023957236522,24.63004491298365,23.86464785860704,27.518477722309612,26.184004157744106,31.1036102248643,27.093169152607054,29.747547306187432,30.644329203858852,27.021905454936913,25.080681868197235,21.07238224598868,21.96366350223121,17.932543554376647,20.954268534375316,20.324242487872706,22.80172608848223,25.629925843633313,28.176599106356594,31.07443412911251,27.4760361403742,25.365104412780685,21.94168703003422,22.22397287286441,19.65540095029726,16.61754709325452,20.49059352796581,17.83114859429846,22.34976348548419,24.84749146244908,28.36933903302103,30.154146421997673,33.51170412637987,35.17586711545388,34.0673424538859,32.08732548762435,28.14154224440146,28.411648863259998,27.30427657426027,26.9105134481091,28.43840621871606,32.281806731500325,35.43512433240575,32.587046984940315,30.04715541703165,32.30572187209653,29.05575518374344,26.47659001898415,23.699030454719324,22.588400748853278,18.212101065575492,18.424009914111718,14.858668227126323,18.19330313017327,14.861132352854657,16.38129987042918,19.089244229068868,19.019947223188023,20.91196867623972,22.83927996525215,24.516876838424825,27.081395273360634,29.344915546426787,30.080059336922766,33.83290956579322,35.77292204390225,35.32780646190466,37.19017509719943,40.10507976847446,37.431124589491056,34.209286688205836,33.31119055848235,30.965541017529723,32.921213513228594,32.35017510657266,32.081945666431174,31.390764143332092,29.18862835110271,33.62183716296058,35.139474580441764,35.60595860139462,36.2829768945479,31.82733090947765,37.22939241280279,40.51038477529163,38.44647572618287,41.833801873562116,40.80063085914931,45.605765026694144,45.67864858911547,45.70658950543845,46.1512328470038,42.277206928231564,41.52371485488573,39.20210638721279,39.289880890129616,39.660348936373374,35.0645295477293,35.295843327648086,32.780619146782165,29.60053506257917,31.627535193378115,28.262127493911347,25.608275745308024,27.96228457026335,28.475928512969674,23.63537100347214,24.103621666035846,26.852314636773766,25.341467335979765,20.86575050362125,23.359019427886043,24.693267467487242,20.2160093128081,20.00710772455749,24.538022954749753,25.818441266621228,28.724561662893105,32.23152929374399,31.040502506365385,32.64427683863447,37.596655946899254,40.49981114780173,42.060808096974775,40.51514161255322,40.38271354784967,41.69281525837958,38.58107197780261,43.46667729722567,43.47106870587789,38.28713991899745,40.634717863912144,45.21448375035605,42.24896839412061,39.7307668740642,42.75550492435688,44.31894659915026,40.23702164465278,38.90483985461654,35.19243072746262,35.285827422558626,37.547374079692446,35.39352330211058,35.748329227012086,36.56998309859708,33.45112615800806,31.5806768277969,32.011484295714325,30.35644933931378,26.684286686975685,26.859350305524313,26.70982470733878,23.66700650549423,22.882879143699757,27.373576311704564,25.874584476938512,21.67436916545762,25.442672140604905,29.12156484359689,29.744602344912163,32.34824744545787,31.782745031130393,36.183342721393345,35.1233678101796,30.706803914759067,34.67329687826335,36.97521272690001,34.38049594685822,33.76625810470135,39.5765326232481,39.40654558069024,34.997045223579256,37.395040809605085,42.190088621038036,40.792493993760566,37.703123434967,33.551688646185454,38.31766850233442,35.09135534661182,33.92351924211378,29.104163336574842,27.138656626632386,22.402489635349504,25.037932815751653,26.702204172250067,30.54256154060688,30.377198384312518,29.783586675240453,25.504527765998542,27.184881523904103,22.87024593116185,20.5066079221014,20.86326599949826,20.83744863343674,18.910795574648425,16.740391794046964,16.628147995197512,14.725254790281813,12.602716038481436,12.070711976434284,12.512310354557128,10.607635286321015,11.599998778475022,14.054111207909209,15.981302264307233],[12.711939501056182,13.512510756065861,15.084932985752225,15.08378576550411,17.933052405498454,11.3519195511584,13.678589448787125,13.488069599334581,12.517609248337177,17.036611278760443,17.849570767917992,17.627292963720002,21.19299971657555,21.13718395926136,24.432272759470795,25.643313232807213,26.816333323731957,31.279149340768967,35.50611883203408,37.04838916053333,41.030450369004186,44.54122567632145,46.32585962985025,46.56778137459637,42.99328352862835,39.34646271723411,36.532109593998165,32.26114832508077,31.058805902247414,28.68514894133812,30.94713507400518,28.72236055376129,30.880841963882762,35.565200533067035,34.27402908725483,34.37442095756236,32.51023096083205,35.747995517108485,36.37834538325017,41.63645957690597,40.950129762145586,41.58893779016058,45.40419244251926,46.37775186323808,49.36216132416521,49.170531648251696,53.11657064912062,50.97006417334907,46.537393119086985,51.19778338647802,52.12742006424226,48.845955030092995,51.754055203728534,46.22023586755777,50.199455613308665,53.35740915263281,49.93805297922078,47.701190600946255,52.50176040620079,53.75231849030944,49.475355700040005,49.40692512627982,46.45942060718935,49.50205260245876,48.21207843436557,43.69791367093949,41.60190103790993,37.669770558307356,36.31322747737264,32.72046857747517,33.24078010832247,35.60248000279469,35.822061807468216,39.960360448797715,37.57784757750255,43.039150474482675,42.34873539668123,43.57104687406798,42.914231408339646,44.982940142458595,42.116677397712934,42.6994728959062,38.43926337341543,40.02200746160379,38.9159332813121,36.831336754955736,39.16887528736406,37.5831825187063,38.64170850368122,39.59435390761366,37.94873499979451,40.45415946803096,36.46247447401928,33.287317630521756,29.025011443257902,28.542184127302402,24.80148105627251,25.736936611393652,22.45194468734764,21.158418162583004,25.673883001040448,23.882326588295467,28.060543122020402,25.931529346008595,30.70589370542269,26.533871002652777,28.567717174165715,29.497355848961796,25.7246455341981,23.87163853696568,20.176503260881127,22.053610073071386,18.64811726812798,22.211436344242802,22.467670057971883,25.090714617470226,28.217132713889953,30.85256910582057,34.1315334302788,30.507296359132305,28.58960661631634,25.04572386207083,25.10640235376196,22.176223381550834,18.665757828858553,21.703211655417945,17.9240167129666,22.4436541957798,24.371471343749146,27.922258093652946,29.51390860572113,32.5584215174974,34.747693572188446,33.613771359085646,32.1046487643385,28.536014096747135,28.56567305903649,28.232631327173475,28.43511144270295,30.129824759414184,34.414342075624496,37.64718673840089,34.98643811877117,32.16418476875592,34.24405726383796,30.965581559185264,28.333992681945915,25.303388685726325,23.565929858458436,19.218488041581047,18.344796745155357,15.018726715295854,17.381720933876075,13.858872222289644,16.557317584117474,19.301239644306513,19.88415058442539,21.055788175768967,23.813325587129576,24.780407506949715,27.81081727777705,30.664161787015214,31.506269507601708,35.11755859095224,36.867158572689796,36.574848315397354,37.91578513437738,40.85829033881543,37.89941523173835,35.029414651356866,33.87815140911347,31.898527280208516,33.6832807170529,33.00253286190127,32.8114434106434,31.79262802825918,30.093144377247768,34.08610020384512,35.832315482532316,35.87208803870924,36.78176428027045,31.833603153551994,37.14659403094756,40.50083014713846,38.78064616509197,42.555018755888824,41.94890289739953,46.61479606259289,47.042563971050704,46.60687182437848,46.86535162947764,42.906260613649984,41.794561547377086,39.21232040513491,38.933649107236214,38.93238041756617,34.33086841787053,34.06035283049173,31.275743060294236,27.987314187680486,29.398247572866637,25.86891798530548,23.65142745753204,25.78281379197086,25.70406937128333,20.947268772553286,22.03443194771956,24.12983699456451,21.981146182102197,17.990339186055614,20.56031103115205,21.351730082130437,16.753486770477245,17.25595574093099,21.569308866194532,23.211797701059627,25.42172539796572,29.67129074359866,28.202620711142078,29.389558571077938,34.33486331429471,36.967079697912716,38.64921472693034,36.978225232943636,37.0800815306288,38.43328118101678,35.53482095084023,40.532508224027495,40.495517035986296,35.63315063635605,38.072051458803536,42.66199226839817,39.876531434639475,37.5922428405444,40.835022172046926,42.372248525692854,38.3035254164308,37.456369123227844,33.32159101118082,33.4247858172322,35.34077541677881,32.7473311065892,33.056867024577826,33.46085502204075,30.678734392076688,28.916819359412006,28.7284911861145,27.090142366831135,23.76321561431157,23.63377214375132,23.026802209486565,19.93021599859634,19.278071432429822,23.496899177673885,21.74692366135652,17.56227106854345,21.508545272503177,25.06854069274328,25.95860117840749,28.59863277264836,28.322653195081397,32.716457956676734,31.54590654532158,27.484525222458746,31.615349355951267,33.84696391458887,31.35819075702253,31.167762803599953,36.828901722853274,36.661079005426835,32.63274576525919,35.21734126845681,39.80354868229899,38.491348882772506,35.67261132330355,31.72983202565638,36.54813579644381,33.592961618627825,31.887353742393678,27.449842508315307,25.12111671913011,20.568390316772643,23.84346387206245,25.50661339693192,29.375303027262678,29.231679824594508,28.105637594354395,24.298670056212707,25.877119939447457,22.132475739468585,18.94028850757176,18.869863752371035,18.126461550595835,16.61703324338008,15.00306426132826,13.812009733770463,11.549748771462394,11.02600333596951,9.918041975304618,8.941721699273236,6.779090111482102,8.201589780649897,10.756165625774054,12.767197252221544],[18.119473261376204,19.361236659294967,20.994780386262672,21.00945888232903,23.50572900626583,16.696648546705667,18.14562971026631,16.830394169025507,15.128181314452233,19.342386355018295,18.969415195901796,17.983476008539956,22.753364562090926,22.71125242607716,25.013314390404624,26.42255354633106,28.545774741676215,32.6104087904714,37.1760982877025,38.7319786490757,42.72391802339602,46.308006622526044,48.22357730746103,48.87923808723167,45.38855716115307,41.68372309342643,38.94369931609079,34.67109787804639,32.82697491649985,30.038563151600542,31.169513269019202,29.021533968982673,30.320675523067408,35.092534018523686,34.534180762203434,35.244381017043374,33.624035614941285,37.57492350635459,38.72705619186171,43.90261045770935,43.64188574794433,43.75828570266379,47.412180138044114,48.86704982009825,52.00738811898832,52.24626341321808,56.106804844525605,53.65453719623794,49.588229399138115,54.48726972810336,55.06603570156634,51.530487150875025,53.99864695054592,48.46215888364615,51.91854000620034,55.140587288604635,51.854496560136035,49.11788391287364,53.72584582311146,55.42086436371825,50.970757270522284,50.2962884746286,47.00542786556416,50.1966161739201,49.40979668464202,44.869866605553234,42.70377552470106,38.534496626956894,37.35635575351886,33.35390497506187,34.13578713009805,36.08772982049445,35.967562713345465,40.37239155911636,37.76893131257102,42.823288077906504,42.71449682362871,43.42069565215664,43.28220966162393,45.84276706835496,42.99237000777184,44.213202390815844,39.83737748904379,41.981646537590514,41.33385022359302,38.721236053288095,40.70926673670809,38.44810296131159,39.49597515994481,39.52336524464899,37.86846531047654,39.819429649139984,35.72079773292065,32.36158433667556,28.546055717914232,27.41582805173116,24.22958016206886,25.0524908613606,22.079489843503005,20.16265287815837,25.697264200541337,24.527406945455635,29.14982991963147,27.786135608115494,33.077446922000895,29.6579221006866,31.787239717663123,33.3657806272755,30.000989577870644,27.550658050367627,24.396287208025495,25.87626824173218,22.369781740587673,26.03869258653884,25.51180138549459,28.518499122061584,31.044888290304378,34.10057913113652,36.549978206803544,32.50143779327397,30.86707757234178,27.484204654036155,28.446033757025525,25.801725153602412,22.62375358554826,26.185183687726035,22.6340057682002,27.03661935895481,29.003970028491658,32.00283969104614,34.2753730929564,37.01862624568709,39.203157121417526,37.50053233725012,36.48442512751813,32.924517620196035,33.632623503031986,32.956644380183214,33.00414149461641,34.22908302961296,38.47091035157472,41.316558445840094,38.20711802374602,35.56698287686716,37.28745451222973,33.665554705925615,31.39354620136662,28.002873352648287,26.45244167951909,21.968509477222756,21.037035257767464,16.725394135144786,18.212967915400316,13.168915345462386,15.629806633873566,19.38919422134592,20.791520505909155,22.69222332178969,25.42427727663278,27.44128159224089,31.087457757397672,33.275434495488525,34.963584286479666,38.208531527137275,40.574831976215656,40.849788252889326,42.281019848004654,45.5120914037245,42.823534798161376,39.84151889306333,38.54040104491081,36.22928345750835,37.49250371353666,36.35704226132248,35.592600662135766,34.11224824119552,31.924245268638888,35.60805506125284,38.029278762104106,38.22395307177033,39.86335502011461,35.06180569380038,40.66712442652841,44.16864925193216,42.501437377409125,45.86927993334596,44.884978660825055,49.829695118721496,50.60903292667558,50.39129313955937,51.00304409432671,46.885871584658595,46.17383096628091,43.75271537755616,43.55139541049501,43.766534951909655,39.341310376830414,38.98921732099798,36.443689791765955,32.82731500372555,34.23171799214573,30.350769596686845,28.517391236432605,31.031592912547502,30.53186632395252,25.895576532992283,27.670983041655038,29.421299477573704,26.587143371431885,23.341810212908776,25.990858246298632,26.270095543608686,21.643302777139912,22.703823558255422,26.694282331357943,28.681478374690656,30.240764623755286,35.14461877982506,33.50260517033767,34.278733337615684,39.131743250904236,41.415012948850546,43.157247495620204,41.15857042863325,41.39180609300924,42.4925609672899,39.57976394157634,44.630308791695676,44.946882086857116,40.356999130885214,42.511589076539536,47.315517252261955,44.86100717041454,42.5366990201876,45.69597484167745,47.594301566625255,43.65968986208387,42.64224053622745,38.502883493232204,38.00664729019855,39.73341742781058,36.97700669314979,36.70606763413571,36.62658350259497,33.72114228539813,32.704817241037965,32.17458340764574,29.869773032956363,27.132625531928813,27.537384937404372,26.1642937120157,22.953952835371123,23.26593292498739,27.013006003318605,24.655939049157002,20.995296902738655,25.417777306521597,28.566358973078156,30.01618050845307,32.43359174180383,32.30452790535309,36.712619897682515,35.7678075772836,32.201157307693975,36.21939449537698,38.608233753936474,36.354951039824336,36.3496056896306,41.84993175118362,41.89272274403083,38.147123070413684,40.66498829299679,45.19720799165807,44.05181212720595,41.38218605475692,37.55825283949643,42.38575081198,39.495362516221526,37.59944352570559,33.32613749144333,30.922240969458617,26.460486559095738,29.821100186196063,31.499587384074122,35.36049515795545,35.145205385280114,33.82336035869912,29.9393940679692,31.136577676071095,27.366445243505762,24.307499035099145,23.35826266797676,22.278631836184967,20.13260733905651,19.75005607714271,18.747952410726487,15.550163224227408,15.408839896944816,15.607059350183935,13.918990951788377,10.434772727309682,11.293182291563078,12.23880105573617,13.192449839509752],[19.68913220214324,20.40586222905665,21.718044815963708,20.46380913212585,22.803521078616104,15.952025020592353,16.5212291470798,15.462727942970618,12.464519283213754,15.984341163092624,15.197298010152403,14.863929986944413,19.549463761685647,18.78252677925848,21.11589337001383,22.943131555987513,24.96381619963658,28.84997528449463,33.228601464848346,35.13353169618347,38.95351262616109,42.75833108409339,44.47624390668593,45.17950432949782,41.86677040048203,37.99214292439365,35.55587551257358,31.25171443850383,29.47577238520294,27.00685958309473,27.594194065620638,26.18333802866112,27.492889325176122,32.07908297730685,31.63122556701628,32.047595130094344,30.983142766305075,34.61171586393757,35.90562166933914,41.42072777600732,40.77061568977025,40.53362696342156,44.31583667840564,45.8298728619505,48.79943901542583,49.13989000095761,53.04822060823405,50.71845868167301,46.851674771773546,51.93445826844877,52.665931726678615,49.03068448010774,51.507893017730765,45.94069286627216,49.57131358139515,52.45161918077068,48.96238422898625,46.32014067111445,50.86194943885577,52.33084516701324,47.677064714096716,46.91494062262669,43.60937088482357,46.48797237494529,45.78486969805432,41.37034901721605,38.77004912071616,34.67533751856306,33.15104781339879,29.10171300037971,29.705056739256847,31.477396970747048,31.577468654011355,36.10605056331914,33.805944937914475,39.00155989772681,39.163124448901605,40.109983963036065,40.16945029286872,42.85489137362717,40.402611479967504,41.85088415171291,37.87649994716833,40.171100851333826,39.24594390915643,36.36720448455675,37.9261794421928,35.931648424622864,36.35172252145812,36.51142045292793,34.43452008281682,36.196847608113146,32.07660159773285,28.930141248936934,24.978219109321874,23.647173965373856,20.282686824073036,21.993819748510603,19.374635344975754,18.62360748477115,23.72942261364573,23.6074721471265,27.61580663513467,27.026035079099756,32.416678706715096,29.121034437451296,31.884285258651516,33.39149430500392,30.164799288235017,27.64744069922427,24.163010442206314,24.704784965877177,20.663491693454613,23.820187071717093,22.482615635285637,25.369062358652158,27.557149986766543,30.556627211077814,32.60254083652608,28.569645359023852,26.823492682626352,23.58947025772137,24.841048674128327,22.555815171107557,19.858115016207286,24.07471990532374,21.524168121225355,25.880889693828316,28.36488398200187,31.3208267545323,33.788526044873755,36.83517195829552,38.492532009536006,36.81657605997631,35.34514105650954,31.447382679340603,32.42758894608111,31.037828078858343,30.571404476700575,31.57958997010795,35.42159657053887,38.131497676144456,34.84649068308692,32.47834448209755,34.31742446726811,30.730696169967178,28.53991230111565,25.390290088191175,24.43695487694988,19.971563859960415,20.079585393531676,15.618715551026067,18.20899636428303,13.703434543877359,14.766997682792145,18.338754768652315,18.970537773337394,21.558780053229704,23.43404852420262,26.109219169705707,29.276227566641566,30.888784427025307,32.487001939500495,35.8335027529409,38.381523557938166,38.551626712960946,40.45384784532465,43.669698821129074,41.278699412158,37.9816402729544,36.89723159713397,34.241332218789175,35.62628837001429,34.59331572329628,33.76291356764408,32.62971185415988,29.965404780595563,34.106615382573935,36.24777718406566,36.866847805519654,38.240042135397985,33.9379286536999,39.61196536247658,43.03050344275213,41.02605533499685,44.00752479903326,42.614657898173995,47.68003173997959,48.12339017322438,48.34900399128843,49.147228275085396,45.11726162467588,44.76427261204761,42.60682060754028,42.76753795979327,43.36216486175143,38.954644293558246,39.10494807470693,36.84645273015505,33.31771588297726,35.3860519704668,31.663249590464737,29.34420582168834,32.13105915578568,32.27231851308325,27.484861717017587,28.68378253601252,31.14483613178852,28.995563527322943,25.160183386608637,27.846804411151734,28.769730430466364,24.178028370914408,24.577161046104713,28.94765235141219,30.49603030867883,32.86845330331251,36.93612359013936,35.49373006825839,36.77402326999652,41.63955678372211,44.33961466040402,45.86003594547924,43.97145838023481,43.87861205258469,44.92498889113069,41.72639516282858,46.66314324096002,47.033998562572286,42.032482379519834,44.084065736552276,48.898486868167424,46.239605376995755,43.63229368136942,46.55584238913143,48.51402658668507,44.56948828959382,43.00090235658715,39.30203555187847,38.77413183724494,40.8882831042169,38.62536480111271,38.44135424870347,38.90424099915087,35.60004932225566,34.37689215413597,34.6087748619623,32.35512561717639,29.108671921757416,29.815214106012963,29.087836449508583,25.92465732313652,25.940992826465827,30.165642689714968,28.219340750213156,24.40849856472418,28.646726509215302,32.047802224903954,33.08729728986912,35.46169663375486,34.92266556323275,39.379413214371056,38.59607661094124,34.52326272878322,38.35712319085453,40.87947904738553,38.506325298175284,37.97236343234955,43.67817389986079,43.78112861915299,39.58795103370517,41.86273951777346,46.66873301130072,45.48861558874487,42.520214628059996,38.494025325405076,43.34017554039024,40.223594057727176,38.89257098232065,34.19871092194833,32.04172593368717,27.377702642622197,30.228122131764962,31.819713418936818,35.65643941229075,35.3378351375943,34.484695985637885,30.08214823591828,31.331350353014095,27.011167579076318,24.735411156653313,24.193853718530445,23.878909368300405,21.339871886784273,20.29385050081236,20.33238552733257,17.536598122236555,15.796492267979001,16.47438919672634,16.12502033036748,13.00606382042727,13.630652764183658,15.095639384883661,16.328191424954518],[18.949977082553474,19.155672867555822,19.70579772997147,18.77634467972212,20.316033493371968,13.43683769715614,13.72349706217714,12.118817833052145,9.657456993072435,13.660148895147563,13.204241579658492,12.39340054112395,17.014007482218616,16.97692284228273,19.344146924919283,20.741113231790404,22.76567611124721,26.84877591012693,31.417843380363472,32.962063853858574,36.94876729404437,40.546290875488054,42.44806766522826,43.120638108667904,39.63771440387799,35.930757183630995,33.20829492208578,28.935199298498826,27.07848734606842,24.39867351096617,25.635781710754255,23.665768778129163,25.27765519616053,29.970456395533798,29.19718523078609,29.654190220220663,28.194569679845646,31.93862008947435,33.12883374191301,38.45849400366781,38.046147528993956,38.043532389901586,41.740128008285424,43.21236320970534,46.32174890996624,46.63671789329767,50.494425320447135,48.043263076888145,44.07488279135834,49.076131947467076,49.68440315561655,46.087561469751925,48.56689282979441,43.007300288155086,46.59883181440899,49.651391504730455,46.263833889335984,43.616772531854714,48.23665613112791,49.78737221879245,45.28989971002748,44.692483206435824,41.47116457435898,44.57671346948967,43.701121766813884,39.17696504636533,36.987137863667414,32.84745642377793,31.694020167041096,27.767489124277972,28.604852878934988,30.764543547189298,30.562798190330636,34.8491690146569,32.24789349211084,37.457315978546355,37.185811711690484,38.11476397175912,37.87050174933226,40.35972592780228,37.66935878934412,38.89609932821724,34.75496879785665,36.93098070390883,36.08900689502362,33.35106329221873,35.17866604755675,33.149604514078895,33.94172515760756,34.27231321069642,32.488968906737846,34.63450525281167,30.567835438560262,27.311778415678543,23.24840780015247,22.411622719602075,18.933271927788823,19.93567557983778,16.935061730848073,15.918875243601603,20.84893893636495,20.260451424498136,24.355608030099027,23.48548010633384,28.846118636809646,25.545038909044926,28.27641071094199,29.871226922009367,26.75157979429684,24.105706331136094,20.77182266115342,21.362256953175084,17.50065453237497,20.937419800525692,19.965387758729527,23.082530625087283,25.402542033337067,28.607928570785294,30.891883864163454,26.76730972650457,25.25183358375225,21.871928337518543,23.132796267642323,20.55309619249041,17.563012155780658,21.4412308220558,18.519942829614706,22.78979818968143,25.143708890955917,27.91606323097862,30.57528246772572,33.46765388041377,35.188220329196874,33.360299849697086,32.12515855589022,28.35906179831372,29.579268819858257,28.35264387404404,28.195153919880163,29.080915158413024,33.28091694299857,35.89890629656245,32.63696398689709,30.068846844145604,31.70938365532549,28.0474461147118,25.855883776393203,22.490617482939772,21.23861326675332,16.747237391516787,16.532594004841297,12.074436410106607,14.697924100831665,10.580764718418136,11.799601126937864,15.102877292894538,15.756890283316208,18.076097020765925,20.226221462928425,22.65871486515069,26.041324472862946,27.860197619301744,29.622109576569024,32.84291362753349,35.40282663813433,35.83188668692405,37.489672721611406,40.83928818666968,38.45445166387712,35.275334267327615,33.98654854223903,31.366745274830627,32.51190602115138,31.350438985133056,30.49467091735154,29.24031616464149,26.76024620774555,30.797976306853563,32.97121031729705,33.45061367229532,34.918893987526566,30.478654436748002,36.17062343119933,39.63093860831194,37.73620408615154,40.80244295060352,39.55954352383389,44.595161190006124,45.27572004750582,45.30395747768273,46.105134742400956,41.99566248595686,41.61902653745979,39.434094961024506,39.52973915559847,40.147297899076406,35.833367608400444,35.91059189110051,33.8045949915707,30.120765246413008,32.3112828637877,28.49357529349432,26.232223198863924,29.32321762197264,29.460133814966348,24.706712105897786,26.269134410986105,28.75906225823576,26.55731415651515,23.004711804241083,25.953416355392793,26.967794867786004,22.4513096965599,23.177155250630722,27.67515624606204,28.99189173089582,31.367632580935773,35.2455046722608,33.49402657933718,34.825502741457804,39.48859284557052,42.42941315405826,43.594242465314935,41.51106666565492,41.18985007824295,42.054347456975805,38.69025175284528,43.57319333567385,44.13822383609533,39.082147376731946,40.93825327919144,45.84576488605172,43.30611794891582,40.57784037469489,43.39620493017378,45.58701986194201,41.75054598443012,39.952131747938346,36.326496756861324,35.486235315292134,37.603274662762786,35.443399259269285,35.127839865847164,35.71453161134878,32.24826039208689,31.089730650811834,31.57630218723777,29.242188712606694,25.880416287404728,26.87399460996353,26.344759148156225,23.233308138564542,23.376374005481605,27.764963608699926,26.045778005165655,22.436831479942082,26.70068046224427,30.094291457249913,30.95092648639327,33.0515109298616,32.20453733173885,36.67822156054938,36.21975143596326,32.05320677561766,35.61771810706757,38.370627560585795,36.14971794017844,35.35206314908681,41.033217304123454,41.45037718612759,37.27056184790014,39.26545427514832,44.1806863197687,43.277323334947205,40.341569992382254,36.471343872814636,41.48266236983976,38.61937891315594,37.335195966520246,32.65676755791868,30.15482890858136,25.607188104407555,28.72949423492204,29.9754642171544,33.75923556656137,33.12183736552556,32.017949196271424,27.444298187251494,28.357780655961108,24.075909202593873,21.904708916514338,20.96176925816055,20.76184853038321,17.963818201971357,17.168597718628657,17.644187071700163,14.702387683015429,12.617178777097797,14.197220595045788,14.1313092515015,10.809942772262707,11.150146242298174,12.824053501846569,14.187860864689272],[18.64275310074426,18.254225115951947,18.302324816066918,16.59789019509689,17.78518918193654,11.10979803181154,10.751099151994213,9.640377527120092,6.395896817666887,10.297510984063722,10.29847517276443,10.309095638753611,14.172190989503697,13.833234486212017,16.777895159507974,18.23066770087001,19.732596498962778,23.967082800224613,28.340903281453354,30.00323634935484,33.9389347527548,37.594384904167086,39.37462547173292,39.90151052249795,36.435841955934194,32.67989806012027,30.025029094459793,25.71602792423097,24.15254793543542,21.805148932432108,23.4027937346916,21.723395348522526,23.814885939409347,28.346348581539168,27.232042753398574,27.24107340325857,25.92169445836714,29.181550838726988,30.21592989695701,35.757005662546,34.98869509123882,35.04240730449719,38.87146690797575,40.17589026573631,43.16344472364208,43.364151997197766,47.27872131726717,44.98577079930783,40.96091571379922,45.97008958838101,46.77504538117538,43.22217940365247,45.88362915582279,40.30385366226498,44.20241338458969,47.07029858086483,43.530585456705886,41.14024930426293,45.81995856221199,47.07964864565706,42.56664027687745,42.207597908160864,39.14313273348425,42.05961544688066,40.97878254276665,36.50721847150703,34.19018567337222,30.179314521716734,28.834277712606408,25.090581998009057,25.7668890738626,28.120534758505112,28.11659195827736,32.28949187225295,29.889422208982243,35.357699229610056,34.88446898125708,36.17157148975342,35.747062316364776,38.05175384904886,35.53694384264859,36.5792291177223,32.694336057595606,34.69968948783363,33.519306094541804,30.866283207581994,32.642804434129374,31.058767938449613,31.563990340303977,32.42080224697536,30.467863782214643,32.83720570671594,28.838128143716084,25.78692174960695,21.432494027256848,20.93356614214186,17.074137951656652,18.49155548689159,15.508827109560652,15.526581369222185,19.530885136163914,19.228167523569553,22.700232988796795,21.946193671912926,27.112054819961294,23.618235044030392,26.69929728552667,28.020588987010203,24.90214201804312,22.42055853674565,18.746547077679633,18.801854926492993,14.622516734437458,17.728748209034862,16.585100855571813,19.571470510359237,21.976908438821997,25.066409771429953,27.519843127234658,23.533224204233484,21.878176232165888,18.4405881207823,19.53734913985505,16.956453061462035,14.043878632919286,18.148143000750466,15.79710383782066,20.022687820012653,22.685336448967025,25.560066603803225,28.147465260024926,31.28797098067566,32.67970910248063,31.04157833465377,29.392001553343682,25.43318892389106,26.668336732230873,25.118494040250955,24.75745867447151,25.63653036717075,29.721406193491138,32.387664545032926,29.175267800564935,26.635895445757992,28.45308162555825,24.914926636341146,22.60932312599589,19.47856645513342,18.48233872315948,14.036488041561887,14.57273325637111,10.547110946159751,14.29833187088234,11.533491791991613,11.947046444028729,14.397115372327107,14.09326957369927,16.45307034817367,18.062426434050337,20.420040464942506,23.269935411851762,25.035823224153837,26.441313904380845,29.854872783224792,32.30020288683622,32.51792910085704,34.383466617637424,37.65919346270126,35.36730376884931,32.05545753997503,30.903093486553278,28.180777313891667,29.540114363857388,28.58699847335527,27.910355432458953,27.04167434915235,24.507294619722597,28.932926294324414,30.655156502015252,31.304094284277767,32.33701748929904,28.129940364932796,33.749139116727164,37.10824843676526,35.009762439401364,38.01167917666146,36.698357646137424,41.697981809166,42.09931583473556,42.267687745986414,43.053596243516786,39.03246548297322,38.727336945764215,36.64443125390987,36.92466091087513,37.70998876630022,33.386191853700865,33.791980490958544,31.843267396071536,28.317046213494546,30.93608246182861,27.357095200879606,24.713393480341495,27.892121915433666,28.551462418143178,23.77200456399127,24.82855011569536,27.82200261390643,26.2570498897161,22.31116244823999,25.246987354761952,26.774024424112802,22.43243732521174,22.689467005898823,27.396617595783695,28.28061944204343,31.25184662107743,34.36646309372137,32.72956631700204,34.45954237971783,39.054047359722894,42.35167296736735,43.28966858705236,41.343020023023264,40.755077694083084,41.62263004000929,38.096504803387084,42.84708182936047,43.36728724639207,38.01555731411107,39.8431409856727,44.673976229452684,41.95423784212955,39.06149780314904,41.72266443888842,43.8748890408508,40.039272449706445,37.91460239525229,34.605530808516875,33.870634862691304,36.27011791537049,34.50059658382505,34.399661461374855,35.4755187820055,31.82946521354102,30.332675467922147,31.418888688326795,29.342295752911475,25.535443886163215,26.58254132581999,26.698855752185082,23.7290535241368,23.455984352444627,28.172157929466866,26.915656033599998,23.214331105377912,27.152739037451184,30.72618543855956,31.157396958292903,33.210264427672136,32.041436286255234,36.48511770597799,36.12098207425683,31.56062442233366,34.942618026379186,37.7448149142094,35.44537930972637,34.229034475352336,40.016382143810056,40.472901458793864,35.99149126578095,37.771687890131915,42.853050035516894,41.95230331053502,38.828412209894644,34.880617274930486,39.89574827722101,36.97229848954894,36.10598352178241,31.1922779928114,28.807677436472947,24.233594357344078,27.02311711652319,28.085592137485705,31.790046977774214,31.0247107145297,30.220922004661496,25.341866265011497,26.302891026687146,21.710057968072693,20.121164224158914,19.645118219954654,20.096740431181505,17.269030545222922,15.709549503015527,16.97925135429389,14.685682952174055,11.34724879942681,13.166493016708769,14.288012612290414,11.742578520284603,12.010778887395514,14.197478806319063,15.909582153735784],[15.072775683150285,14.299017448050934,13.876245671845373,13.033934899431772,14.02901427811349,7.15570610241057,8.023455681975152,7.3697307156620075,6.619331057976624,11.330897727707663,12.685375742956435,12.555871056628979,15.348694855028969,15.810786193978727,19.243644464397494,20.08683700981802,20.990180670513897,25.569508636922752,29.834952890618265,31.117316766184945,35.16979433199379,38.53474940171801,40.40879202258774,40.63984999970254,36.97115352031606,33.448985898502805,30.47163757918827,26.24431512958499,25.05486619029635,22.725429775907788,25.58487095589064,23.21086951338839,25.850082436588202,30.402113013383993,28.70278061461945,28.556491822269535,26.580931523759272,29.609431187856217,30.159828819417505,35.42278811177451,34.73523362744366,35.44324142875756,39.23392258228009,40.17741054289736,43.215567480372265,43.07071255829945,46.97938098649082,44.76037262583199,40.34875531977582,45.04853001379244,45.927838691940906,42.619484704605284,45.541991075145354,40.00438076009773,44.081275934316906,47.18545744689115,43.74819900660832,41.61082308726665,46.44992858881275,47.61348262466825,43.411881257961404,43.526683198382464,40.72313322519806,43.80017983895314,42.325894196311246,37.791802661525,35.95118184852426,32.07435236416548,30.976453715734497,27.613680505110004,28.294044990178673,31.043663880309495,31.027441587648127,34.841246024131685,32.329152160866784,37.8654314588935,36.76408463740499,38.16908227426572,37.22679504751979,39.07350742829028,36.22371057520263,36.63610195656442,32.51168041288314,34.00281530312668,32.75293051163589,30.691781155192448,33.06986621338384,31.72599093119693,32.786355683919936,34.14495519408838,32.5962180624456,35.473616161781656,31.623756915921497,28.56187233981359,24.13121033286772,24.25256541068855,20.330195454694486,20.959030843147477,17.550970878905353,16.98542970307816,20.491538517531612,18.83489973641399,22.44561151724509,20.48916039804688,25.220786431936784,21.084097963210805,23.682077082683723,24.657199447291298,21.16612404043833,19.04461652050912,15.176285614055292,16.243372774637084,12.568035183581287,16.17822935696931,16.441870555348537,19.28221884823425,22.37797198784493,25.249658782443028,28.578064223831884,24.89661163124264,23.234474343416778,19.62601325122771,19.85657181922269,16.73807803502621,13.09742207927207,16.132232095578555,12.577688621720885,17.017775231769672,19.282737324322078,22.54575606134574,24.654444129598172,27.76910130162549,29.556136191317766,28.202645924831305,26.614207786482705,22.899596130727495,23.597899434919896,22.837125585047534,23.079045544840362,24.39236372919889,28.918039561966847,31.894143266747722,29.124769137836743,26.216768433370664,28.111038696886183,24.78050772127208,22.183799134897516,19.076991578074434,17.360901399199097,13.011981478568698,12.587881097926823,9.560446346345884,13.09750897325333,11.298060316054823,12.944674462696053,14.64840480002465,14.38699826563172,15.486539107988529,17.873946152356787,18.837229059418018,21.694875611789097,24.43385044648159,25.375770712536177,28.914304723027573,30.821808953294767,30.833401827813987,32.226901933170616,35.38968318552563,32.7124920648457,29.715319880483154,28.423704703116382,26.162829251718385,27.70398544373897,26.935515404589054,26.688393864391074,25.840313605620633,24.066076149869893,28.301946447739038,29.78317101152795,29.97847196778549,30.748891895793392,26.022933739428513,31.43303319077126,34.784048013919495,32.91397475290403,36.485877623245045,35.75236469240913,40.476510193020886,40.964958203927814,40.62533467980058,41.06354081309563,37.044993970783146,36.22855396114456,33.84175624765555,33.80647844722318,34.21871742930127,29.769732961218835,29.87853767062158,27.644633973255033,24.15515417022409,26.474668979300738,22.93902467080451,20.313404054554038,23.298431246352024,23.870718332343145,19.068534496208326,20.223987976159233,23.094158955652514,21.559762468021045,17.62563071346364,20.654599354737673,22.212734626945778,17.975075516888783,18.411154162022026,23.127625567277175,23.893115879197005,26.805638463153958,29.86715394027257,28.071365933353345,29.79783551235652,34.336151651636264,37.71363515250537,38.5787102773465,36.67498921619046,36.08930436629348,37.05843087795518,33.619526243202614,38.400970581773436,38.76162669269253,33.434874927795285,35.4212150539153,40.1808546284158,37.41873847069203,34.64638790464017,37.47287098551093,39.48019560984819,35.59363589181394,33.79060604126358,30.21953737108463,29.73397392295724,32.04125229041369,30.112575020512583,30.263527835722932,31.38033887808406,27.958385410495126,26.12791238827744,27.119435712646546,25.38305250317259,21.41470316147933,22.10785774526366,22.458388235219118,19.572702167395654,18.932619902259777,23.761781285479078,22.77930437529973,19.02302603203089,22.73090579179819,26.37048987363169,26.59482146149436,28.654424322893828,27.467590600421655,31.890987462573534,31.458154665643214,26.829054723836922,30.255299884915946,33.00786702542605,30.702928349460503,29.53351392282256,35.318051335812804,35.76117914942825,31.35428090241549,33.18810895506477,38.21796585782969,37.3590437660797,34.322197420507344,30.478366151155864,35.57109924842459,32.84734080279321,31.799203522718976,27.027926080682295,24.370707956303573,19.906895195796697,23.070976681849576,23.98881303334587,27.703385770272103,26.877892761977225,25.78815267947554,21.10711258131043,22.12416301654197,17.81651222499402,15.67089277359073,15.312767740835609,15.653775390527425,13.2810090217118,11.27335333651735,12.258734195943786,10.30417012048519,6.948665385729395,8.543047653093838,10.000465656823845,8.170211672293455,8.605107632783618,11.59463791600042,13.701809985060144],[14.997419887696491,13.627303339781406,12.858053222760946,10.68311453058372,11.665679010464858,5.12560603873553,5.483755167657356,6.810454288302276,5.493805640820906,9.456935524386418,11.617646645044534,12.627893586558802,14.157379540359404,14.017184139275482,18.14681006340899,19.111628625107283,19.20233675256603,23.869916575255676,27.716608756057546,29.238428167750254,33.13568491153191,36.597963657152214,38.23955633024246,38.23960012165092,34.6524573648137,31.04768597827277,28.25522830738313,24.0160888535869,23.35707639993247,21.5977714066487,24.749884439140367,22.891183538031797,25.941530034363797,30.216295428644788,28.222950292614193,27.518089122105867,25.810817093289423,28.11095436576935,28.412844720445257,33.94177667032065,32.703330964753505,33.49479310933274,37.46413581152392,38.14503545342218,40.95775172389631,40.60971645028204,44.60858351125615,42.66883710814179,38.17252604205795,42.84720331201128,44.05150651094415,40.83723189466375,44.02088980939573,38.486665856855005,42.96544220495696,45.79323761803078,42.15635529179034,40.38463465119751,45.25992837914711,46.01849576705743,41.795936637913805,42.19788253720342,39.5959976472385,42.35788463526187,40.66209450922091,36.257772907260765,34.169178242388305,30.529000082267242,29.079825503710033,26.000519630969045,26.363212564587243,29.20983870002468,29.565123289993817,33.252573123853914,31.117446979499015,36.89930781603143,35.67132027724692,37.49901725010007,36.4180290617627,38.05542817745254,35.486550865045956,35.68018139933945,31.935831589830094,33.180785624263756,31.471183738527998,29.575247649256344,31.845931008832544,31.10002441022498,31.73230242844892,33.680310150275105,31.88780901939066,34.89175403696762,31.154009402372406,28.394053859923226,23.765282307931,24.11700313672099,19.93708851893616,21.157486714658678,17.976231278744727,18.453990955779986,21.000427791984883,19.747490854863543,22.55127481674037,20.73617974810549,25.073561598611025,20.66093645996745,23.5792330472372,24.064861649441507,20.49120388244659,18.802025555132914,14.4257438097514,14.893553299392975,10.837240577148417,13.798562705199663,14.025925375054006,16.42735764887238,19.770343761773255,22.269536410062393,25.92591747255466,22.590107896324376,20.62737830489714,17.01936304828225,16.6959028086219,13.570670830848227,9.944340882237247,13.23762962666344,10.536504768567562,15.011204243992783,17.710789600318712,21.30408324653272,23.0483482379793,26.5742567603708,27.95354298182734,27.020310434739955,24.74814010354635,20.75362676329241,21.155198482288995,20.027152921763737,19.937024850703047,21.46728998619047,25.738805978654803,28.925283966999572,26.336171194762446,23.493996462389806,25.764282170432864,22.723176690249776,19.9164398266518,17.32482329999271,15.998849165030087,11.919995677852928,12.549791837797727,10.51826828617207,14.907627535543945,14.169945658148833,15.075634763734008,16.056419778861443,14.826140662406079,15.862772544339894,17.495047672643597,18.185513241832382,20.13291285040292,22.876328793687865,23.11147654677637,26.9955702185272,28.60425445554878,28.11682669397579,29.82513456435106,32.77776807681644,30.12649527336795,26.944670832959083,25.93879270103222,23.63432210042129,25.670650048590776,25.311780375202275,25.413459380512453,25.137536637668052,23.371334459481183,28.02760837940644,28.885954480908488,29.27773244370909,29.38898431500575,24.983106841809725,30.191012470217682,33.36346398694048,31.226255008894586,34.7725171500605,33.99283963752806,38.61115421864245,38.6327204126738,38.470066471234745,38.80966574700933,34.959144727424366,34.13643493073807,31.837545482281463,32.016416345252246,32.55436726325012,28.0215839793957,28.55588406866246,26.39367076458747,23.26154709942748,25.993446463840552,22.89719691779926,19.772352949695232,22.589542806176745,23.845037545181995,19.0875996581742,19.281213367996056,22.771622842115494,22.14492216495618,17.61604471702016,20.407516462340652,22.567242177508675,18.63404078753889,18.265436182039192,23.09966757109588,23.393658887143566,27.0346517240875,29.176137423150227,27.696367037881974,29.888178892720894,34.39988987894455,38.072900538766135,38.83444485078015,37.22216308372299,36.440746683778556,37.518206628351024,34.01970539311119,38.62707843690547,38.79878602813372,33.18274008234355,35.25468912654283,39.81976589127219,36.773880574049976,33.900924688373564,36.60141488353482,38.3875087068775,34.44509492149867,32.42155993918035,29.194774019827566,29.091020922867504,31.719827605681413,30.21897161218924,30.748176214818578,32.37172766155831,28.908607859619078,26.616738108112095,28.160440460732065,26.845358755231835,22.49148638964987,23.018501510770047,24.04979533445084,21.38886127084078,20.16718840902985,25.179800417724852,24.661348547469128,20.788292486228865,23.977718599775596,27.76973116433765,27.556236497695675,29.675072137928247,28.284553214078382,32.596474298937125,32.09675037604287,27.08134716254797,30.392942435736845,33.03993889923028,30.5707630890924,29.032343307854827,34.91914228932174,35.229984856852106,30.464747239841362,32.1806075456887,37.327572665020035,36.326086507889094,33.05206707518898,29.044997246197468,34.04704107839046,31.141718774331075,30.593047950684475,25.541774802025966,23.214352888648968,18.699047638909054,21.271846144512764,22.107597285438533,25.74444016997327,24.923952396056983,24.357959881319548,19.417241657035174,20.745685362847144,16.051374435352834,14.627462337441864,15.307668023004563,16.42838978294874,14.388223465583668,11.169269816252882,12.891107927110637,12.118360559286007,7.691886074208499,8.610172448896787,11.518777308524022,10.922904869898778,11.47254960116028,14.489467745455471,16.6617112785034],[16.512379494927274,14.544030240606551,13.236631005196712,9.603215166621693,10.004438130379038,5.538854885240041,4.280868356977442,7.694778138165287,6.216959016248042,8.116168035994265,11.127408703124859,13.266250407572503,13.14609079686299,12.364912228720183,17.110636876133597,18.109400643054787,17.19946152475348,21.857596795966113,25.152252071826684,26.89343875774493,30.579559772239342,34.10215210440807,35.487323533263094,35.23161010617518,31.74554113263968,28.08850947257381,25.517157734703726,21.329477015893524,21.316577433902964,20.272983860048548,23.74133660314122,22.47167641430191,25.92467327952277,29.80417317405396,27.489417393299632,26.16135552195229,24.7771481949483,26.19361571342551,26.205654619255135,31.972906296217953,30.124956868234452,31.00011691240355,35.131864357985364,35.51934781979448,38.06954790831867,37.510875020046875,41.58886703810108,39.95548845800184,35.40278006299864,40.04118561883004,41.586143153441085,38.48332835723318,41.92500018925807,36.434208574326,41.32080806661285,43.819918403437214,39.98647454277895,38.63187318044858,43.51165384593612,43.82199449166397,39.607563508355234,40.33661860141778,37.98950242751231,40.39409232368494,38.44841742415288,34.2211670680925,31.91365498506669,28.588889658688007,26.80496278105443,24.137582819022832,24.158552051618333,27.132025854216213,27.85510264037093,31.300536311723718,29.586429898617816,35.56499976424502,34.16114758375862,36.442041049763,35.19181863922743,36.56303026369834,34.33023073161405,34.2754435584505,31.013661544139325,31.978504601733768,29.773247808150774,28.075121059308515,30.185824224838562,30.129493828124314,30.28254658582115,32.88389941413128,30.871581634147855,34.01556234707686,30.471192555284482,28.093676805614628,23.354375193987263,24.021257766228185,19.70110948167537,21.43176597581343,18.599823675741973,20.123953795798034,21.544993834598284,20.772643430197284,22.59975465289543,21.049514416975533,24.851521343113763,20.32687728096903,23.584601483132534,23.573138093477173,20.099520887681873,18.873407431976776,14.209398088791083,13.754669187260367,9.49873907669276,11.27892483546462,11.393544399637193,13.123656051546478,16.71485133563379,18.739150156468902,22.766823301152808,19.895139112452643,17.640964916538817,14.111970287118668,13.057316966586603,9.943225377278297,6.455427144659717,10.106187555308273,9.055052941412002,13.149054544371113,16.332652453028647,20.088715188778774,21.48312780982819,25.39111031862228,26.205007264122507,25.70522507505725,22.691907696863986,18.415627930890825,18.600038263879977,16.891878864913032,16.332210137751765,18.03665458668021,21.978382686632408,25.357516656023613,22.972686316096787,20.23366649823545,22.90678076586903,20.253307157245036,17.260374389937606,15.394068151101813,14.642885177584153,11.20718261888953,13.04921103651291,12.182943792111361,17.069457932344754,17.337231357204754,17.528502933471533,17.743555491912453,15.586717899653403,16.50939031884636,17.19446508270478,17.59384457006444,18.389318551396613,21.006827184183326,20.418633147023687,24.638136831027,25.91991920445343,24.905411209387307,27.00183713329097,29.728504661326937,27.197303662589796,23.786784084498443,23.119554337565738,20.718820987816237,23.271320997254808,23.37530757293654,23.847959825084274,24.236064831208196,22.49210975147587,27.524916375640878,27.670475373265223,28.30469271106339,27.682235945841285,23.773082216237636,28.681429710628738,31.614895637603958,29.173534754499947,32.59738496499505,31.733178749670287,36.213418492172124,35.71985480401345,35.79078462761733,36.060817778819136,32.41532154902803,31.66387018440115,29.534961172812825,30.007300748163356,30.764781704411305,26.242491015076272,27.314070145435213,25.382571568797392,22.682502657031502,25.91888451729782,23.348895189662024,19.786555438911655,22.466490352411583,24.456627718532975,19.92365593983975,19.16917502829762,23.25445131110161,23.575134277720863,18.719142950444287,21.21303552792048,23.940452670375905,20.4640201186303,19.398781712182412,24.191136788388317,23.920480393167836,28.233000732113418,29.291745324595503,28.112363759411785,30.772746374054474,35.125125978633264,39.121735593469474,39.666242691489295,38.31557216271766,37.266247840320844,38.37283802866658,34.789781602746864,39.13411553117785,39.18481923328227,33.29705661961881,35.34638317629536,39.68857518675391,36.40098034982047,33.38876292927569,35.84977465460717,37.467301339641125,33.55113484939441,31.156809975886183,28.455977207887212,28.643415112791597,31.611533242360835,30.6660487690973,31.514795136082345,33.68315237917912,30.146370522441092,27.478799306772007,29.66310462007157,28.72388070238031,24.06380048214895,24.552235258050267,26.25579072001483,23.871229560753886,22.227716918246006,27.321489026948903,27.27914199172693,23.45482172812267,26.12005987622625,29.966388771394953,29.304589242493304,31.359685670220372,29.694930405663836,33.83003126404002,33.37982742400913,28.034561713685267,31.06406931060021,33.63823239295001,31.084569469210752,29.07320560588337,34.96907714302857,35.236792497137216,30.13870308031165,31.583066477866904,36.840203932966645,35.77585263328512,32.272757043113714,28.183589617127964,33.03986313496343,30.0233366073022,30.113314828701515,24.836185622160396,22.88263590942675,18.51814460693542,20.30775661062165,20.8983220329918,24.313087980844635,23.40180857316045,23.445088311210576,18.233675731977232,19.747740130137206,14.713631842308855,14.448148698477357,16.069290041400027,17.99417881131993,16.23415133284725,12.213828315688565,14.72864302275339,14.936674045751989,9.985108604433256,10.581460040249713,14.407384863463612,14.58827948100693,15.115194249681545,18.0556342305493,20.21657141739198],[12.522737834741923,10.454071376808422,10.106021423005322,5.437429566903959,8.837338360875352,5.8157003830206575,7.756908647323363,11.769363382452143,11.145803803333743,13.27476595952171,16.199254103326332,18.352711193006698,18.31200477101601,17.239476412501002,22.1502238201787,23.247833591767247,21.971414723237533,26.557074306475197,29.378469312524178,31.280047591560066,34.75698000061262,38.25510773503732,39.39851367307653,38.79793287418824,35.430824161062525,31.821868936518324,29.452840477433938,25.429612245007895,25.954242251417327,25.224041002083744,28.842466934746916,27.645687456645188,31.14172169601247,35.00322244580143,32.599481559221836,31.105974114126425,29.670771727554285,30.681960750525885,30.328828162137132,35.991327722142586,33.80513302114864,35.03689133673463,39.223750646039505,39.21497908302636,41.50721319656891,40.52881195680803,44.648252574887984,43.40007243127609,38.60298810422726,42.910786958239335,44.810350934023404,42.00455406711594,45.75096029729537,40.368039781015234,45.51662304158419,47.951113749725316,44.07818174955158,43.07514724545173,47.98241061244571,47.993046384548414,43.920693162892285,44.9539628264928,42.79016817004353,44.9912342001702,42.85347128964516,38.770444220047224,36.34159698205039,33.263257996463395,31.16574304017816,28.723348178304075,28.391505077789414,31.204113923358083,32.379073930850105,35.800552569952984,34.42482158155318,40.482847114612426,39.0455745981965,41.49471480782425,40.14481385299605,41.31549772211711,39.11098445684022,38.721707083280045,35.512081705409635,36.099327852449775,33.69033302148429,32.45036065012558,34.7373950039729,34.9838085805725,35.14270807709967,37.99229444086438,35.95410261008068,39.09102980486611,35.572657158122,33.26298836814622,28.513826803853135,29.054484378898405,24.700351209263363,26.622807090239597,23.739259951165703,24.874084192403775,26.567631366314362,25.257751762696504,27.25852881048745,25.047529263905524,28.39471517339106,23.357771313357027,26.002882788753386,25.349287738978934,21.351312403453168,20.979617059094647,16.100540337617282,16.765934407765144,13.295551338732887,14.764602419641985,15.745226967399239,16.63502873009812,20.55597061978123,21.740181448531857,26.315615058553487,24.066006443795075,21.456174730298965,18.158431641273978,16.049813695836697,13.21791898599296,10.135978775122991,12.37120244653355,10.964745743378057,14.94347489636851,17.659321539537352,22.14608414858436,22.297834537914735,26.445056409506726,27.522306983660396,27.819556943094522,24.391703063437184,20.35288389910512,19.040466817923495,18.151707298574614,17.692295502564694,20.307136385072564,23.81363883943428,27.761854158412657,26.046183372044517,23.35825271190482,26.449732794307874,24.311229012159526,21.136323774679493,19.803888177460067,18.87127009395372,15.801767057288595,16.979321540956956,16.46098493488354,20.860721906392566,20.71219167571439,21.763622951959032,22.269351515270365,20.456064762230653,20.898825754138954,21.98789719983102,21.548772820044345,21.941870987398683,25.13720391840216,23.688463363765035,28.150866996978888,28.645651126635286,26.742595770175043,28.700393170640563,30.837931616994624,27.810515704619874,24.658120152792588,24.36942497652743,22.665838394576,25.947396478861933,26.586241006059552,27.611691524128894,28.2245290133358,26.995066759768328,31.89070177076273,31.73651376966955,32.10178319974447,30.982529347913538,26.88554589905546,31.307095919181197,34.03370281661161,31.696174527831545,35.578110035058636,35.16682889570419,39.24774961870197,38.34467507811477,38.16199038132298,37.933914425107496,34.57570931777328,33.20156292577628,30.795781591675766,31.013219520828283,31.21850703946396,26.420126078081655,27.340740533347685,24.747592054487324,22.685489969157118,25.26918654894433,23.20369900497044,19.533443038312058,21.04743621618932,23.178660463149807,18.719419597678005,16.746918001806375,20.8644154933615,21.809615912560506,16.163381735503012,18.001288118227137,20.958265040600654,17.716139646763516,15.659868271032773,20.316606835303425,19.995419499174613,24.738668338403212,25.505768631636943,24.927314039381553,27.74727029784506,32.37907786348719,36.184764550431495,37.22104337058025,36.42372011587029,35.717562897684395,37.322978267916156,34.17665138217483,38.541406366481425,37.95231731125729,32.16027516421604,34.80324863334305,38.74185254504629,35.089497809491924,32.49082745518859,35.30544323011877,36.14292508356492,31.95039133941269,30.451999664215347,27.414438157432755,28.74504056946406,31.612539454126726,30.417148168791115,31.92834709813075,34.022847703220904,31.086091030911223,27.85557301193943,29.559357162184508,29.28387959807641,24.670848283889843,24.150358457835626,25.94443390295932,23.681335387107445,21.245444373187507,26.137612120150873,26.218018856482345,22.012072075835757,24.06925416217044,28.042587836323733,27.23499957600132,29.79404777791464,28.60362563324173,32.580005348321365,31.424094853991065,26.04255070667848,29.564478179251445,31.546083097778233,28.626582614474877,27.056318161697526,32.98214466211516,32.53940766302009,27.351678349109516,29.401951026295745,34.38077853648921,32.74309056543024,29.168640299307025,24.787472614944917,29.374757115364293,25.977999551232497,26.011987503798014,20.64171798939749,19.26344052815549,14.700990054212589,15.996365237461088,17.19147993635924,20.763704571247107,20.545882876443027,21.058288958526685,16.578431174623606,19.14834498271981,14.62587226398609,13.566499803403936,16.622771075018548,18.23041589098544,17.659402015089274,12.81623156085488,13.92843164652148,15.169697153370207,11.44740765623975,9.134883003149003,13.147971974311039,14.666667983814524,15.665913246603541,18.77577763794223,21.11241176136829],[17.054487301128578,14.576845862795047,13.60684601106262,7.943977935037801,9.772081900260796,10.563291377196022,10.767584562934564,15.296903058963013,14.520752963191626,14.684705221295284,17.917598227909256,20.964466742429416,19.31167004172531,17.529938501625264,22.681644025738912,23.786391268868865,21.290182291527156,25.476766938497235,27.22206469157016,29.428842937172956,32.391104048871824,35.88480173159959,36.54038411253086,35.495422936406314,32.43057665852364,28.861419088496024,27.027281879817096,23.357687578317687,24.90566654711823,25.24888117846752,29.028520692881877,28.670243859902275,32.5004821543089,35.75067007169229,33.030909527005036,30.757877598777046,29.846527562868364,29.552194097906042,28.754481302908076,34.54948805314821,31.440762633004283,32.78718549491931,37.104320700783774,36.59193674038003,38.351196528603104,36.9870200165762,41.16353346289884,40.50529024266792,35.708389616891445,39.81687591849087,42.28407393009296,39.74525456781911,43.8401674492778,38.65856368563286,44.32394223927248,46.19931117780399,42.09539874564997,41.77221968196147,46.58092788491096,45.883123180805526,41.90837421771091,43.42291207499024,41.68861434805786,43.27675350092263,40.80888539305259,37.12593830008027,34.391709330518246,31.928893236248427,29.348597399230773,27.6510169387323,26.76447799797806,29.568322334533505,31.320106505553145,34.28234176918878,33.62394885114271,39.78594390109531,38.16934998893397,41.205251746807875,39.67249054585166,40.44079277477693,38.786750663265835,38.055216359564845,35.62507337632754,35.79804285046592,32.73548905387381,31.857088014127253,33.823562783514454,35.04089885387078,34.507717748472324,38.165179160266945,35.86324760152071,39.07140996625102,35.90251791478667,34.16337105631116,29.447511829541668,30.310066788864084,25.979732326404815,28.45538744028395,26.081292172142298,28.26924008656851,28.76399310155542,28.06141270125897,28.90354432477919,27.109696054141516,29.668327934882004,24.72734180015622,27.647089424444108,26.33689305922479,22.683370683601897,22.977093803784943,18.154268169982018,17.686807618223348,14.626688504972508,14.17825298611131,14.988861271491972,14.363632442082197,18.248194650440237,18.20511636993932,23.22127482169433,22.037044038200108,19.085299009646246,16.39174582340294,12.957581304298218,10.947952190317324,9.48944205581646,10.8793402133119,12.345418606960205,14.91781355388295,17.918266579283774,22.3338185555432,21.76813039723357,26.301807883409136,26.466099775673865,27.52357323477968,23.06446796351577,18.911459021294938,16.948961169367806,15.249169741838768,13.84864419262636,16.93252994868334,19.335995053401106,23.651478262711763,22.565595961803957,20.282358151808598,23.958869879225904,22.69194727487332,19.481370541512895,19.466023066640386,19.38823039343436,17.455633080225038,19.71303706271856,20.17361922005805,24.925195167627937,25.650885439138058,25.968497091428837,25.782441205587837,23.1423329429678,23.49814762472015,23.500324075776106,22.75040061396349,21.55990714011113,24.38417381697929,21.634859002779844,26.392062802442297,26.20071429898909,23.2536166683528,25.81689720035706,27.33135201010579,24.525633957900254,21.12266045217466,21.607502920965125,20.00678284239323,24.124186947401608,25.540353021834353,27.116476537401056,28.635318013034684,27.510777846461824,32.68573402554372,31.565709374114856,32.24326518607633,30.07366806285535,26.88388592997034,30.617274124858756,32.85526772614548,30.133606685058172,33.73567923448062,33.2489823247527,36.939916834982114,35.138869466716336,35.33057948780118,34.91590373579184,32.0490571132736,30.74434078045133,28.668206307404002,29.336476003452358,29.818404421099995,25.19046690124766,26.938629370444044,24.76017635049114,23.5615899264437,26.69707073443141,25.501722310340522,21.464247371184936,22.591873244503077,25.661168533734585,21.787879864160814,18.58235007752326,23.25507212511344,25.451442960236754,19.789712625259025,21.0366883305981,24.569970351106477,22.13094087338434,19.35401453022315,23.544766849748036,22.405516206798378,27.882439979611952,26.945769024961205,26.928308267771243,30.331945138832484,34.58359285958113,38.74181999732626,39.47523270710329,39.099790472353064,38.04313122806729,39.673478855444245,36.49647991503845,40.39283341814448,39.605830636181054,33.570798042197865,36.14267295348189,39.62450418970217,35.660123134653155,32.95546257672008,35.343494897573486,35.806997316246864,31.740654966070345,29.79179189740268,27.690479096446445,29.523779905986046,32.784005803772224,32.40716410096968,34.32811616664118,37.0857355999002,34.12109248453669,30.504912562265403,32.978719053887524,33.15642258536736,28.307324435009793,27.791518008852968,30.321845747662778,28.423514823262522,25.653725471306263,30.470681888801646,31.100380411161073,27.09782629375436,28.50200190341907,32.40344336876434,31.054416220033932,33.448986384183854,31.937132108318124,35.56055714816763,34.48854774213404,28.84050805462122,31.847859145696837,33.62961295129731,30.66461769450303,28.47559539373971,34.207588456687034,33.64654729695873,28.10232184795818,29.696452725669648,34.66412118268063,32.90110668139601,29.045993432979785,24.65704393113684,28.753828194221,25.198426546832017,26.38314587316409,20.881146244469225,20.36974762867186,16.50036288605528,16.099426219423794,16.834371103161583,19.736607946749935,19.51554735513484,21.208516618431396,16.76222358892157,19.567159366206244,15.09271446040126,15.815087515717835,19.759567964142924,22.169328622929516,21.82057693981347,16.63963045831309,18.542424417625853,20.482768458384157,16.34642397595343,14.515138060580163,18.869924608861563,20.67756263336374,21.52994998916291,24.521699099800596,26.81024911068868],[14.475775338494575,12.574018906647847,13.083578938066516,7.518427887886989,11.77622714775913,11.567584075552565,13.058420357947572,17.419389391042422,16.374904811234227,17.367043159353265,20.254939335018108,23.15709446458065,22.387416056994745,20.396009657583786,25.54566995621583,26.940459285642227,24.859323273817964,29.082932174213145,30.961693968313526,33.35613605833533,36.31830041629785,39.94116924988737,40.54559053801616,39.53853034639328,36.55426944814699,32.889858120801115,31.14973842009566,27.396462185548696,28.742005463936987,28.852201429119077,32.26019206939081,31.88132889566494,35.48515933409795,38.966266662782026,36.489059969081275,34.4309155001826,33.522976272530094,33.56893440003193,32.90452816928531,38.722997866894254,35.69345012214939,36.95334978444321,41.29069804401625,40.83990808666276,42.577284718272026,41.20365187584476,45.382306090298165,44.769899590780554,39.981919931010665,44.05185599374646,46.53650866134367,44.00747145596177,48.08206866747752,42.87411445695408,48.47036454486464,50.41074572671368,46.307734573890215,45.876942079503195,50.690712359969666,50.06899654356915,46.013989261778974,47.37766305348144,45.50609743604665,47.094632408052384,44.76594300365771,41.06052280898503,38.12074329897747,35.5472303826731,32.78129579927663,30.812223773207315,29.84458526697706,32.36607802188242,34.29315336647872,37.5615575373189,36.955782737990944,43.14421870397884,41.822520859046264,44.74242219766838,43.40490589415224,44.37023092688955,42.65809607827849,42.07684705484112,39.45365479343844,39.743481640790215,36.821114909052554,35.85186475168426,37.83307022691501,38.79315398230769,38.30290327649947,41.66656632918667,39.26513698876503,42.26377329778947,38.92075541625442,37.03225009796959,32.282032755619255,32.75417611844247,28.37375124791141,31.06995248824149,28.572009747756635,30.34229843627584,31.600386492553913,30.72332736253812,32.13766779860548,30.142858759188268,32.986386627244286,27.880340844893556,30.510348586250846,29.23881722916716,25.26947917855523,25.601503350405196,20.71151161569073,20.997361963838156,17.835854558791116,18.042684022118692,18.768561897878268,18.44996139344788,22.235027334302252,22.236127190505492,27.01001677721696,25.71032406807985,22.61600346218786,19.880833435058154,16.745361922442743,14.848506018083812,13.125935420656829,14.850760334127896,15.22366528947651,18.282818687277942,20.98743129003371,25.651464732313823,24.828946533193463,29.2967935235685,29.859293360135897,30.9976252975578,26.72087490874984,22.722372580599757,20.359184719297275,19.22451731796222,18.00290871756657,21.187249475279078,23.415195338926953,27.782701633538007,26.72669703068627,24.521536601296383,28.200624055909042,26.80989350652335,23.605742969497744,23.296998592208478,22.993719120360097,20.57379172408723,22.354287587430644,22.20865701597447,26.777075619460064,26.680278877311753,27.51495740437765,27.932630934192147,25.740864277228276,26.25162836337165,26.7267530620897,26.123318606020355,25.430765999865343,28.39280739771673,25.85336193259469,30.589829657111707,30.395601216558255,27.365423818296776,29.787104336593927,31.133817669169876,28.106315686649115,24.9156545424204,25.4350052615389,24.08287580322144,28.20334833906718,29.54863978350284,31.0637704829726,32.33532584104817,31.178055108337745,36.289570691682194,35.46185216575631,36.01975411242656,34.06470038038603,30.565247664165348,34.37384758381449,36.67406729897178,34.089878530159176,37.86396148323709,37.46758018542274,41.14870334771582,39.35060870835265,39.451010315453466,38.899776107191244,36.07698145705372,34.53628652741953,32.2898408893673,32.72721631656061,32.851729416429116,28.08406262683881,29.48026983166078,26.807792855865713,25.71073383286561,28.209228931790726,26.981412626438193,23.112145539188237,23.63990140222699,26.361724014902226,22.38657824223775,18.90348920715646,23.22008255380429,25.279984747924466,19.224352948776087,20.06443389690923,23.398380509798685,20.84460239682694,17.565812463434813,21.595537274430683,20.83127650103352,26.29341324303282,25.787577803634402,26.212923243965808,29.45120818285187,34.06152679478369,37.816004145536645,39.13692712482252,39.043199799419334,38.42207719245553,40.38594002858461,37.54660368340466,41.61776357610881,40.4800845550427,34.67309077344614,37.64091680345309,40.99141744027895,36.91898013997776,34.56964799839008,37.30762036923209,37.34459682088558,33.07953529679659,31.926349698509338,29.338156123358278,31.6839526702098,34.70874250850475,33.86441470590235,35.966287073154625,38.35498858174737,35.73432080185755,32.04582670834756,33.86251990579584,34.16098514967868,29.511081025088696,28.465195899339847,30.602586027185513,28.582665344668914,25.605547870166276,30.217662722775717,30.569739410539253,26.249262272115967,27.574121927808665,31.527018526814008,30.405649905006605,33.24124935824698,32.258580799006836,35.89036850120731,34.258741914101044,28.809192725369428,32.36259108987657,33.74205702863665,30.535989134055015,28.994284374468243,34.73335673679155,33.615272481599305,28.19856959630136,30.44578826210749,35.10844731116638,32.87667885481439,29.088004772175093,24.473303922601385,28.322972397807227,24.37944116616367,25.190768060780524,19.71062954507021,19.698811748628184,15.561558387453207,14.929557198678696,16.55672179314955,19.69472468125122,20.232694090008714,22.006857384005425,18.279973200417295,21.614151041200692,17.53372927677273,17.167171025851463,21.315568969675407,23.13159355781592,23.14746998352481,17.960166363159768,18.74052212044866,20.646077442816356,17.31173043242849,14.199079456635484,17.998039378137733,20.06783146139047,21.16520270216064,24.15244364899851,26.50739188504408],[15.807065093237394,14.145400580250795,15.145463805811172,9.96785211454303,14.37686441991575,15.044955322849573,16.6724091950918,21.092012169410207,20.062701169312795,20.844103654196676,23.681176745828676,26.743757058835016,25.799156600136318,23.563526142895903,28.725063959231694,30.20273094911338,27.8459137560564,31.881120121092295,33.31870958584922,35.87982597354304,38.57818373764107,42.19774337015321,42.541894645140744,41.31028637907694,38.535335554315196,34.91852245647756,33.4747684936993,29.915593073505807,31.612079855169238,32.03902444243668,35.38853791463601,35.274942401780585,38.909818799085855,42.25102901752327,39.73924025055824,37.476617875492664,36.73196668426713,36.382221823521554,35.54377850207173,41.33263198563247,37.96070614479474,39.29663130199689,43.65642733152284,42.95558162345116,44.404525913995045,42.790443457058366,46.95686534288805,46.69163476180248,41.89692919782406,45.751806700083804,48.52548264596594,46.19293235842711,50.43123545406755,45.350007198563425,51.13343992000053,52.86488447558416,48.69363499332369,48.55529740795409,53.31587846259636,52.39175258105619,48.404487611036906,49.95255364700785,48.24125803453602,49.55071039358783,47.12264925403647,43.61602934622663,40.49717441351468,38.18313589492839,35.15570075759809,33.42752364240021,32.18725875307087,34.53128301698713,36.793331581283994,39.96087027167565,39.70260384363405,45.90736403886946,44.622599567284354,47.72800388605666,46.376301276675285,47.218997542241205,45.692535933277334,44.974505011669635,42.577462567095395,42.68523941447036,39.56513281168418,38.792447355178346,40.692475892860934,41.95096776495263,41.24865192124915,44.823632228419214,42.30848973096939,45.245715542519186,41.9880864548451,40.26287068561233,35.536141619280855,35.96704176393682,31.603420521274263,34.541190267660646,32.1533732951413,34.03749672866243,35.206276280695434,34.36285007419936,35.627102472932606,33.58867498212712,36.17224767662754,30.998887124621866,33.48115349761069,31.896033253845456,27.90872360341576,28.617123198059854,23.785500436075736,24.13704063189346,21.23040799550538,21.08064743226119,21.85052025295311,21.070465618576623,24.737853686864476,24.168378119761606,28.98515060023671,28.17789753031646,24.940260446980403,22.5210940543842,19.021157802855576,17.57274860563512,16.341265037506865,17.640233418603852,18.391025506137872,21.056331388813064,23.569932109195648,28.30252386155719,26.915529116216664,31.439504834205195,31.860508589326393,33.451315135428786,28.874437843716215,25.052702649098478,22.0948597097719,21.11202957322526,19.70728722668087,23.13404261938005,24.68685126493333,29.21266613698078,28.59344748570208,26.63341378231166,30.512370231186235,29.502653962207877,26.321051980077943,26.41475514718977,26.260702387775716,24.08869453572477,25.912609496820416,25.912230231728213,30.444390968709033,30.309456620522717,31.214863180318783,31.644365705951078,29.40251520106465,29.853414506700013,30.221412070944535,29.436220440207663,28.36129095785441,31.313865006741867,28.298956321479242,33.08653592960962,32.483016004221966,28.90113742856588,31.406116240719246,32.26463644690464,29.189421119005594,26.151152413625997,27.059654569825568,26.039907963406964,30.504412079766645,32.17683769648067,33.94325950775646,35.458620348117826,34.43038095064007,39.5539653823347,38.45012276789037,39.0129386132894,36.69005515311724,33.39731001013226,36.84811948927289,38.92003846937509,36.30411741272193,40.09188260228476,39.80681330685411,43.20935141234396,40.99248376974554,41.14073583983331,40.34896410046078,37.845115986989335,36.116608629883935,33.907621417637834,34.36209147188113,34.32055396925991,29.608741326497224,31.119045429707707,28.32962388925194,27.773573290078847,30.028641294875406,29.248985140189085,25.39491535210688,25.28812483689685,28.180129932071054,24.52742073354378,20.364543104832766,24.56031912951374,27.131423375138397,20.988499455264233,21.22668827385004,24.62295356914448,22.513221207039653,18.681146518098004,22.164061425117236,21.215755442056796,26.901151314593623,25.74117740440097,26.783643989381392,30.154315738789805,34.72166101002831,38.33599402181869,39.890688340004296,40.232713368063564,39.73864399119463,41.94139948600847,39.363774058922154,43.27115246573938,41.770406921068755,36.07261228767659,39.263729792880504,42.232238370878804,37.95542752037004,35.853469451304754,38.60276624468554,38.10671734628635,33.8175939628961,33.06615412553568,30.63731041827326,33.597328997499694,36.603764453967116,35.851473900077416,38.29007734690444,40.74454208091618,38.39411115471343,34.47258541263106,36.20184917117458,36.84175578042144,32.25138051384752,30.838263044583485,33.079158800515636,31.205725253999752,27.9426046433234,32.306321441007945,32.782458821184264,28.43487898773793,29.3137461885686,33.19611038610573,31.93732538881436,34.941245038989976,34.16440498723417,37.562442542941405,35.60043426726695,30.2326193433047,33.83445339076784,34.7941737382994,31.444668013129164,30.065283001468007,35.604096035393844,34.028777729536124,28.617832513719122,31.05530688780488,35.40370451020067,32.78613639654588,28.965615622948643,24.298649980623434,27.579048744656912,23.35097517835119,24.521215019442746,19.18731684030716,20.042302289551213,16.341819150884938,14.630068757292934,16.556452616177026,19.31175644863225,20.415354831033703,22.80823510043842,19.784371249857333,23.482051921137884,19.86344067974199,19.587178094699464,24.171620816890727,25.947826325220042,26.34182306933621,21.057561483601923,21.481975187719762,23.699085726692285,20.728304436238698,17.137919331423735,20.713901184170638,23.101620053735882,24.2554334124946,27.160091295915944,29.514945976346986],[16.950460200062793,16.30937493717321,18.551578759993372,13.898686991650022,19.002743271272507,18.601650318301285,20.473269752029843,24.602242635487524,22.934704424189,23.887991702750096,26.235902503006052,29.37145693970064,29.042401827976907,26.316834850595114,31.366301735256084,33.24498482650365,31.177183779295547,35.06505646279689,36.45484889048562,39.382931329990946,41.95028394534937,45.809475599923644,45.983392321157,44.84181133106084,42.27060111826573,38.46459294785389,37.308089194965156,33.67594977484935,35.23090786780528,35.6308627818115,38.30874089870193,38.54753674371352,41.882827534768666,45.28546358358775,43.11778539653892,40.9512628497699,40.50918343657549,40.33215392556917,39.72494451645925,45.70231826775536,42.23241197157877,43.23943884625491,47.6678951760836,47.10293572723745,48.43907197715284,46.92139635103889,51.11134312648921,50.93296465289244,46.30568740788726,50.26913740853192,53.09826283495992,50.682989503010816,54.848660903459894,49.731627262751836,55.475948033855474,57.08936037135721,52.82731439132967,52.591280606114466,57.290074960939656,56.356979209014554,52.172064118770386,53.475106314189496,51.61586856513852,52.74122325362061,50.53901075260199,47.10839000855179,43.55706359902471,41.2190688937231,37.83558813386788,35.899818345499504,34.455436643235544,36.356347446677276,38.928520198675535,42.3890901775403,42.39059030431892,48.594807733495266,47.78073269105255,50.85023422873702,49.8301675066311,50.950344403298956,49.583427951687824,49.17872385689766,46.79615482152667,47.150624226614006,44.07881547614838,43.03398304590049,44.68965115696942,45.79207377089752,44.81658449314694,48.104969811114536,45.314999922738394,47.88525614724805,44.51389584424399,42.80181407642261,38.11731181789839,38.08752540127542,33.77182396200685,37.20542087143981,34.94681511996448,36.787927477420205,38.50763905242149,37.953614460194316,39.51738732077891,37.71302084214109,40.656291559791654,35.5413213343542,38.05997000602494,36.65438337850282,32.57903448275393,33.09846712829982,28.226689079681044,28.672144479642082,25.435602570651092,25.503343414837673,25.716676099525827,25.067000116970146,28.436555923653124,27.85282201594379,32.16932940012946,31.325674310759258,27.911690653089188,25.61988398096975,22.477077307230523,21.36191073368947,20.29794935573333,22.276927488690127,22.870766158960304,25.846496133351646,28.410335357419807,33.153490191079555,31.885716312035314,36.378626691362136,36.885614076167684,38.39146875276538,33.87866780926902,29.99148583788155,27.132928651187747,26.02697569592858,24.38396247952127,27.667483439264213,28.83334526633596,33.277272253457255,32.520541389753774,30.810224771795376,34.744130501741814,33.6305057965681,30.524578757208232,30.50773826932973,30.491859149311825,27.974206241424834,29.805627301150082,29.161043961280154,33.67645396275546,32.76448287090904,33.775445064152876,34.74353312275069,32.73605274709929,33.604759312145376,34.02528941039945,33.74467871824295,32.94534680605795,35.63912182041936,32.83838569116556,37.63088197766725,37.22132433934395,33.61757165054872,36.30655952470686,37.08908565560825,34.09481275446685,31.021610364587445,32.02745274170276,30.905670010485878,35.337475447614,36.92133439351905,38.51485066386749,39.91517942350218,38.59071519869657,43.804496725564256,42.919145235415336,43.595484895081746,41.451571450007805,38.154276736325606,41.77199756134493,43.89417686175052,41.23652195106972,44.89914004439729,44.414265018199586,47.91878421533123,45.56681319045881,45.92840606242362,45.19019062941981,42.74088613995941,41.09720931131402,38.92983792952081,39.39395691576981,39.30076722223676,34.57596455567258,35.981041060314084,33.02731745633936,32.44517783033551,34.401339387238444,33.497399527862,29.786480092694394,29.487789074219844,32.05311487928997,28.31569721935775,24.259162798494767,28.057153453098127,30.304230488343478,24.06914599519082,24.04981766864148,27.05523528453981,24.779084959082105,20.77549096513313,23.911404135487107,23.4859077530104,28.862539035301534,28.227519965100942,29.682998624400405,32.78164952773174,37.5956315328615,40.73771817370519,42.84002103135644,43.397568719896505,43.27070684819585,45.68020113115191,43.33273647083261,47.36117367147029,45.668109676372445,40.17820953987363,43.569227990477046,46.46565628695897,42.15853477654523,40.28050807233605,43.18943700993774,42.45378347286079,38.09832564493096,37.76364458341765,35.13381189242777,38.26010007576221,41.133695440925614,40.0944062093297,42.53089723057836,44.68479952883058,42.47585390841204,38.644270992085346,39.914040806115885,40.47204592726584,36.061766525770935,34.449786265744265,36.248796950185515,34.20636311568164,31.0006653782489,35.1654642244692,35.26101377810199,30.68744307465901,31.675182912841738,35.53036008308238,34.604549426511106,37.93733758110502,37.59873584838134,41.01599802303952,38.653319390768296,33.56121042764346,37.536114182592335,38.20710146934952,34.729194089936726,33.88022703218323,39.338874410627895,37.34427559822749,32.14913655385947,35.00930616694111,39.04979548233196,36.07096865924969,32.37890422191474,27.66895499827404,30.517205660610838,26.024383505814615,26.915414386782693,21.907495272776305,23.26041129112999,19.557727647687383,17.7334530798241,20.24436255668257,22.937648279824256,24.553400227075727,26.97553227842885,24.371108318890247,28.18845477514213,24.64333829033082,23.882145829204312,28.279074308104896,29.652916516134784,30.007588794204693,24.92824988064088,24.765304772237293,26.590298018637665,24.034944939030797,20.064646016255853,22.9425157482672,25.080218621925884,26.360664389219423,29.139770382187372,31.453785128089407],[15.441177094291413,14.278474054426939,16.16728381649266,12.341368021679925,17.285614482442263,18.54039942732016,20.93880603929358,25.285943344093504,24.707956666563366,25.97019344483161,28.829453362547284,31.652726123200885,30.95446558406999,28.9276667353551,34.08400241890846,35.49806576107768,33.185047210895846,37.26597821027426,38.645206567554006,41.118053116248724,43.77586020972928,47.277093563870906,47.56994426662696,46.16388637400858,43.429825935994124,39.9578395002542,38.50279627909007,35.06173992121468,36.850038984270746,37.211103692853065,40.759772694402876,40.41700366448757,44.07591831393341,47.52300838100572,44.94667832059176,42.73408789027251,41.77741961109634,41.421629859055,40.400530542238506,45.975698080927,42.61779713752583,44.235084088215984,48.53629569378181,47.61848797094922,48.96727828485318,47.09595333266936,51.20237747814686,51.13289545254549,46.1916783264027,49.71653255492997,52.62662763465191,50.53400703699762,54.91159015356287,49.93683401107141,55.77734748543524,57.57513137888724,53.46959085858841,53.485769530017244,58.27258731623639,57.25871238475888,53.43465353361136,55.15659339796271,53.53488556567452,54.849946423413684,52.31318968276053,48.84388081480778,45.82806002345446,43.579540277418545,40.570794628243384,38.89681120334684,37.62740741915599,39.918234786381056,42.251479512983686,45.397547025170205,45.15745978246748,51.3584377988998,49.992932932581205,53.09174624907194,51.640322481752335,52.36193977468482,50.714667697843616,49.76861525370275,47.26325956966916,47.14301733315463,44.031687055631075,43.56019530781753,45.68218514330021,46.96668468305632,46.47688684542118,50.10074846634354,47.688909845557085,50.6795426908172,47.39938398042794,45.59668423006761,40.855097343677144,41.24937004100168,36.872794248254486,39.66011968461408,37.101764066346654,38.571234946423786,40.0054944277215,38.68383295740515,40.205755864240736,37.67799996833965,40.02304933032852,34.620817634584824,36.580393937896034,34.679441362349095,30.499419101783975,31.673354263308696,26.999594759128573,28.075064123106998,25.60799471142322,25.686415378803176,26.969289612502177,26.16626484428728,29.94380163157417,29.187178562047432,34.176258177321756,33.547174369726584,30.329983734800308,27.94464116668884,24.318534454520783,22.819624207827857,21.38648278580551,22.076768084535892,22.170389698928535,24.675870074078535,26.645696367229863,31.556023307859178,29.442229485338416,33.822060294581895,34.54693997485639,36.581717056705685,32.057953651067,28.65800522524084,24.94454810204379,24.811637100677686,23.818687985872483,27.512585536146403,28.94441297025744,33.58699936692851,33.386884389623816,31.397150672751756,35.27685264052764,34.443313943653386,31.223337547153356,31.319288517539107,30.860180361203707,28.7078917214445,30.010781623192564,30.108091224454633,34.2808561457923,33.940008924738684,35.384084922767315,35.97018865280461,34.01779163246469,34.1632762764467,34.93899291093858,33.68939957370342,32.677086367221555,36.03210166130112,32.79654946062424,37.546240410386325,36.507073607965495,32.603015139448566,34.73062569690478,35.15386266532811,31.761512250990133,29.212648633791833,30.236631827592056,29.81210867920945,34.42857382932979,36.27875871766901,38.28979706642092,39.76818900428762,39.100165599656066,44.029764564394476,42.88534462805402,43.17931446360204,40.71696700638121,37.2062381823062,40.316091421476976,42.24904560551446,39.85957651004756,43.976849798204896,44.092722731337105,47.17819567568816,44.86482439082826,44.690324575706875,43.514790375080615,41.24003321705403,39.01999800520734,36.60762486859356,36.75106473155186,36.18215570507602,31.480742584911194,32.67299559093957,29.44330396577095,29.450841451164212,30.917687775083905,30.603849185114218,27.019576877644457,25.883855097767228,28.6032857560785,25.415917445648653,20.620039977138813,24.215588186166066,27.189003583316957,21.09785981996757,20.423483253006783,23.627979297897717,22.189912446063385,17.739363836499525,20.23442778234096,19.25252884978125,24.911342940960836,23.29603463281769,25.15238769109966,28.447215167691184,33.02417469853624,36.206662002105766,38.27394735225531,39.216189800752105,39.11494806940941,41.7269185501801,39.69061367310187,43.47637925136683,41.40501709844649,36.09380233059742,39.71385120177896,42.18151275687239,37.73438837367362,36.17547635128135,39.172464915623486,37.915959402845225,33.546369714707204,33.820117388643204,31.15501256675419,34.970718109856094,37.69863971422841,36.70767313504821,39.58832298561389,41.84249826045972,40.08543826912458,35.905501774041944,37.10361761806897,38.253790443410026,33.94354343979578,31.812755688339895,33.96768296192116,32.321248679422126,28.66287283709618,32.475110739147446,33.043002860512374,28.71787961513956,28.886167637169063,32.57374384563621,31.240116228198975,34.550545122442735,34.2908315296158,37.33908530446809,34.75938478640909,29.73910332032502,33.592841939113974,33.8545234407471,30.316257400958698,29.55408988800027,34.74616808925739,32.42445609931162,27.291199186460087,30.286160646364234,34.020634055376874,30.8209114503283,27.16233517646162,22.497031902842437,25.025201115806,20.47987062475927,21.557974602377552,16.688735953206955,18.614887742292957,15.566114811308893,12.851573529053171,15.469093546339348,17.84509987986235,19.902560978301622,22.626715573718958,20.932715553090375,25.09243965755224,22.373348829193027,21.488080540128557,26.460888935179568,27.82032173196561,28.950583047750417,23.697331495554575,23.14885477590231,25.78496943644611,23.808050458047525,19.25918418458416,22.217716469586307,25.20388501829112,26.480457412701345,29.21453797516693,31.535094579482905],[18.99761382546785,18.374229803256934,20.69246421626629,17.01843289467256,21.94380418522926,23.052314224835193,25.351879807529297,29.679630512269508,28.73111457519832,29.785027407570677,32.44045890728174,35.47534439305867,34.812601929694466,32.37903501054918,37.506341954302464,39.14796132262639,36.7347760471431,40.60609616902665,41.64234910686202,44.401883924586066,46.79835097773625,50.40977547631004,50.426372605331,48.91775803779334,46.44782245866124,42.92273756989429,41.82726758852012,38.48764164329044,40.451796962471796,41.053936101483494,44.24904506512004,44.303619150260694,47.86987803179477,51.208937106005486,48.7550739145356,46.406760975113535,45.750509167565475,45.160692866545105,44.146754076214144,49.81990915639705,46.15155334852904,47.61873872609199,51.969018092482536,50.95535311932966,52.0333681358627,50.069310082555454,54.1653060989777,54.3838588393829,49.56660161128845,53.0146411968753,56.15106482042245,54.14083997646723,58.58087015992056,53.68182516241848,59.638614805196866,61.19134687208578,56.98222808047565,57.16673050236159,61.87058990078196,60.617713760157386,56.73854257830808,58.47028045706645,56.90302902849741,57.906828719017604,55.40865450028826,52.13378910443274,48.780391941529174,46.72092160236168,43.371676015589884,41.798393884211315,40.25351428949569,42.2332099229715,44.92254867594912,48.09459211776727,48.23230850906589,54.43873594595632,53.31226186411399,56.5492766977667,55.24434050293917,56.00706445312513,54.60724296152016,53.73593443485309,51.446999773531175,51.3408367432555,48.09204346132048,47.585555824104,49.48574496661683,50.93801343207771,50.11565351778995,53.7822893663805,51.143373524828014,53.92562785167542,50.67660190370677,49.02824599334826,44.32283380657956,44.518748064688594,40.17897883775169,43.37503936837238,40.9875688663172,42.64343850006675,44.155072862936024,43.101012512507154,44.56071933790819,42.2267191776682,44.592925660086074,39.227693673171295,41.23493867739683,39.26507357175204,35.1226952220982,36.3517066845803,31.675471802145594,32.60499533420033,30.03287139488917,29.898562884450243,30.84423955804463,29.80330421022552,33.33968316571868,32.23215972594128,36.96574441768742,36.646754387776475,33.27504416399601,31.158899988831323,27.489899684206495,26.412467778405876,25.378994549349976,26.278191212032347,26.751757871295606,29.17405898821122,31.187795744669426,36.06051250948829,33.80220100228662,38.19976256388862,38.75609226989342,40.97565096135924,36.26638656514217,32.88382849467852,29.054482469247272,28.735861788237035,27.42090790662672,31.092858071070182,31.882450218894892,36.51232890433157,36.491210475066964,34.80951728781671,38.83444969019298,38.19833134584844,35.042317673833125,35.37429199794844,35.15933613380731,33.02648178149106,34.52702913413638,34.44749303060063,38.70892576401728,38.09666145300559,39.481470780517874,40.240044876039654,38.251769445542344,38.605628197044204,39.209339573056724,38.159913777451486,36.96419486618247,40.09226327951371,36.662243764362465,41.44269326189021,40.28814585008335,36.06382852874061,38.407313073866725,38.50182212170391,35.24308642622437,32.724875249854136,34.04617400272591,33.67466406690733,38.45445820676598,40.45931315697947,42.51899436745898,44.14658959093393,43.35642859016764,48.39051776137838,47.12945069603297,47.54719856234071,44.909298228756896,41.62690288861087,44.607633470691624,46.4037086375994,43.92454364957828,47.89219349463615,47.91283945797639,50.877218609583785,48.19079128100968,48.227586608523524,46.97369150781891,44.954656240579624,42.76028871925937,40.47716478317295,40.71847785612724,40.13286245374751,35.54225032338136,36.84877424281914,33.63396915467551,33.9093169589994,35.24550528379054,35.1186486942189,31.587293149856933,30.192829607592238,32.88976238629549,29.868717701361152,24.9291100359514,28.274932108379137,31.335846801068282,25.318591631272223,24.324932705875657,27.31392269095069,26.065820630208083,21.480210369603718,23.416475833188475,22.569867432845772,28.003643400560218,26.16476028503094,28.544065141026255,31.736342468857753,36.25068091434328,39.107777911061156,41.48753694032027,42.789359787155995,42.878626872806805,45.662927062743634,43.85452090688834,47.53065454434038,45.209325737276046,40.074430546861436,43.81980743336997,46.00132446914462,41.46145071778919,40.11814959587725,43.08177976042328,41.441651089361876,37.13264824155302,37.68762940062852,35.19169043468014,39.303800769816554,41.999683009357355,41.0383035746756,44.056272704212326,46.27021401285614,44.65805906728803,40.430298929734555,41.49043707903509,42.74290395708472,38.51641570718679,36.23156684409982,38.279225409417094,36.64100813034652,32.94265915605419,36.54365511543139,37.02160311711829,32.65480485329221,32.67265283686533,36.24939523794758,34.98706907543107,38.44584030418672,38.429754441184926,41.32132237545311,38.464199511432675,33.66595103104659,37.574603921994445,37.49609529829991,33.901549321607824,33.39343773573807,38.32286546187261,35.608555389337276,30.674832643089083,33.80942300336853,37.14550777700958,33.61723109738687,30.0780987832874,25.553670094781243,27.325688297054157,22.644914203499216,23.936724250940056,19.64469520536051,22.244047667621505,19.638156546480413,16.474306397675463,19.17602575321407,21.048335254531764,23.49473505747992,26.545036703700127,25.301130896154497,29.521199178890523,26.952267647174235,26.14350475378899,31.138511431114512,32.4129016970608,33.57826864845177,28.363229836536384,27.64910324531087,30.183064320426784,28.320670251261216,23.688793063010237,26.350715362283022,29.233300928008074,30.543678863194312,33.18138143467846,35.47321349324044],[16.08791893225629,16.213984400023378,19.450387360024624,16.60037151567747,22.203598079214906,22.42790484882459,25.30117438320522,29.32434906997857,28.446779490164918,30.182660699138182,32.68255986128084,35.347590442727366,35.38396307193731,33.17786748146795,38.24869446797196,39.92163315115404,38.00237525716798,42.10647270977117,43.65879292714888,46.322781465543876,49.010523072084816,52.67754979533797,52.94672319132022,51.64568006188788,48.969073269282724,45.35606728384532,43.96781323115579,40.390747561239486,41.93858342210286,42.077605897702625,45.206448187814324,44.891053129114475,48.28934658492728,51.93564946501655,49.638625659842155,47.64551034820395,46.740562113039935,46.74769203431918,45.91876104674478,51.59330708244867,48.33060241329996,49.77859619796651,54.12222196490017,53.344024890931614,54.71581819039165,52.918822790906795,57.044421385768025,56.95259739424778,52.05637359283414,55.64634501679392,58.52210604568675,56.36162126260407,60.67466359744906,55.62950898428353,61.37859046264983,63.24014288106184,59.11713722484716,58.96017986566424,63.75441256656959,62.859564301631444,58.897289197361324,60.39992540623179,58.59854242307594,59.921872772874856,57.572345427639874,54.058711691807844,50.81282551531402,48.423300527095556,45.2516043647703,43.29262719264898,41.97906243196323,43.97763425805567,46.433621802955514,49.88500478640105,49.68105310170534,55.88647027785152,54.86033542168402,57.82316787262425,56.610723427906244,57.581799369458786,55.89282242289752,55.17296801229119,52.47957619551624,52.55650444599452,49.5958244009151,48.93437539069809,51.018043378685086,52.014398047010175,51.52467649859905,54.81341717328357,52.28172232347048,55.02474786303711,51.57761624427183,49.643381350643416,44.91335800426138,44.915492128065026,40.5638153874958,43.55301242146694,40.9496623314831,42.06887556365381,44.19158038210665,42.831398504323126,44.84807656626118,42.27781119316727,44.96190178255846,39.52209441707367,41.313350928925246,39.58753776035583,35.24689027443939,36.27966260801621,31.636258982498777,33.11362560559989,30.44693678215455,30.970443323026547,32.021549629413016,31.50860778318918,35.20308187048928,34.61462792236029,39.321052387932234,38.493414955220096,35.18268189558539,32.737597325339785,29.4421628523612,27.9608829361725,26.3597623537236,27.528662330049013,27.06650205118047,29.954079510605954,31.82156560849161,36.79543811809502,34.73816217065805,38.98375623010781,40.02657388708603,41.957501650097065,37.6722398684346,34.298481467143155,30.619169937096913,30.650465244570125,29.68880593356921,33.32294686886835,34.73915520148425,39.354422235327924,39.002324085363014,37.05656636889351,40.92418289991636,39.88434882975233,36.6668706929527,36.47438570537447,35.90708400279113,33.34536354711843,34.36327489076254,33.88068867401262,37.82814902264257,36.689402831858054,38.50759899952602,39.653416733961784,38.10443620130778,38.474899657527054,39.575115291897674,38.61261295770043,38.064874561457195,41.4234103447431,38.48387382564925,43.232499935465995,42.358883601133904,38.544828059846395,40.62900797586092,41.052067342650155,37.58770500927086,35.12724199450175,36.08893329453952,35.664711518180624,40.183819861679694,41.88036355192875,43.73873791766356,44.96744425823787,44.159438536855106,49.06756848503643,48.24950303468037,48.496175294974215,46.318511883782854,42.56100229979295,45.85196898636768,47.89355009797584,45.59610674093187,49.78534275130234,49.8732112636458,53.05619743514271,50.80351057896613,50.61976475167331,49.42644006587911,47.122871280462235,44.825134971985136,42.31694376000073,42.301824931157604,41.51075347820708,36.77214546594846,37.629950495680276,34.10233938521457,34.0564338895157,34.941758008995855,34.495473434992945,31.224013461745503,29.742463905276466,31.89092998459459,28.73709661279182,24.210702429392178,27.05711635787785,29.543524997920823,23.5802202358992,22.496021940145486,25.018162671377816,23.58230366398671,19.062706784190077,20.792158314530298,20.567114850119058,25.511419636230123,24.73738016930029,27.07302785000486,29.84725180737205,34.656221075687,37.090661645224706,39.909359078881394,41.15487989120479,41.61123559065523,44.51490098571178,42.89558252348203,46.8112165935088,44.44540740005803,39.560647548110516,43.46371830422557,45.791435558982236,41.3855128698463,40.22363901591515,43.493182589659874,41.91724708663147,37.494029057788616,38.49302435836039,35.42024421606936,39.45839960444627,41.89186921122722,40.4237932837485,43.33127456979803,45.10640755678664,43.69551567185639,39.62464594735763,40.089295607509726,41.247152753411456,37.28839328690886,34.775174205433785,36.34264097788725,34.60073766546316,30.978988349478513,34.33778337733586,34.48509943362449,30.024167342622057,30.118145325793453,33.63439058516804,32.71980439594508,36.4215578856374,36.81684951318851,39.784950310307686,36.63890289214178,32.15127300511958,36.4633150787212,36.269540966249615,32.6278710805611,32.70719395407084,37.6684569461668,34.79174434121095,30.151620271890874,33.73734500550172,36.94276619138976,33.32750406030705,30.004369876922578,25.451353234628446,27.408765822821426,22.746903657543303,23.10749605381527,19.01505013233909,21.379749519941083,18.521882992026917,16.07628774808413,19.283955789816794,21.570816148659432,24.172665499642985,26.632364634044965,25.59975045658749,29.840316824886813,27.372278673927386,25.731567222654668,30.433139581502235,31.1873926232581,32.47433992751715,27.540203728223343,26.111587843791124,28.40170003033205,27.21728527872214,22.129145993728617,24.113109209058695,26.999374151560705,28.414973213640312,30.92072917318959,33.13545427918891],[18.449246405288285,18.720441947913002,21.934144130711612,18.18868809609189,23.776734858966016,23.110472676383406,25.463915420800866,29.39094131181739,27.679444795153458,29.01000435872235,31.11635909189541,34.09222610909712,34.259285538140844,31.462239584114695,36.41220756401226,38.44496162668702,36.603481245780564,40.46259626360021,41.86108727096225,44.91016482250991,47.42372793041572,51.35261024632173,51.44228208586267,50.28941361344856,47.819428595000026,43.980014284018075,42.92481990693029,39.28397587469008,40.76415116013769,41.06150009359646,43.489656704988114,43.74683927092443,46.908686786929486,50.42626975101113,48.432511886015725,46.38725229222639,45.96502849161869,45.94583158228038,45.38785135689214,51.369463843367306,47.898683475038034,48.872402935728275,53.31117746812929,52.73987139190594,54.004258356218436,52.432249773387,56.61204819935845,56.537306837924014,51.9135282741262,55.799076736155456,58.69681448626931,56.330748728572274,60.51625383470174,55.40498180996868,61.13792190706299,62.75856037383287,58.48646653959796,58.231293269971566,62.92146939129432,61.982412371477935,57.759744814708874,58.986817055063845,57.06348933447756,58.12788413163998,56.01660808594784,52.6188590200766,48.9092713356681,46.55647406930946,43.034639550760176,40.98264720602515,39.46065134955921,41.09194361824714,43.81421492568616,47.43422476554743,47.540301755099605,53.72123803548025,53.13630900707241,56.14344651324515,55.26667942518828,56.50164987482132,55.12564885690836,54.79598647405457,52.31617368154731,52.71430246448814,49.70046421762596,48.63874524227165,50.300042443785195,51.27812293292377,50.30532328981407,53.41484322097056,50.54833681320591,52.93501626990232,49.47794882189783,47.70349220466804,43.05248990492659,42.73909216081738,38.47281870453685,42.035728572932065,39.74272949824205,41.27961682150846,43.48532120636821,42.81185597228647,44.71866527488329,42.77244836839565,45.83163475075433,40.62113781762977,42.90015845868074,41.47198844262363,37.242462880353486,37.8489913556344,33.02928887016471,33.897837850663045,30.69310687857949,31.02965005340731,31.264496514012784,30.719550870055034,34.04059348554577,33.426419418681554,37.58759346500298,36.7541363751296,33.29438104877116,31.045088039908116,28.044881143400858,26.97919466287844,25.810994757777426,27.809571053370618,27.95962362539677,31.063431262546764,33.41322366465108,38.265185753764534,36.75883334626145,41.1651356922524,41.906326291487524,43.537468812720654,39.11365325865999,35.36312315512966,32.2280992444714,31.462209223109046,29.93029447124348,33.28834120242127,34.310584763394644,38.77617597919178,38.11179383034994,36.465940171550166,40.41542233906976,39.284779240642,36.179706712961135,36.05094761469547,35.91352378914347,33.19616679324422,34.73269070389721,33.78310111810074,38.059809848364175,36.58316393114057,37.95809010696453,39.32335076469902,37.633944593498775,38.561478807871495,39.26013008409916,39.01549028277145,38.44822826952863,41.24342141049115,38.48997112918561,43.28121713766495,42.796563853618714,39.0704186362194,41.657084701719576,42.24696359946672,39.12206731844697,36.244021949595286,37.30802581404343,36.389486814838044,40.864812539171986,42.456688227736336,44.05992346096062,45.34181913174609,44.03375725259745,49.19366293764444,48.45397659942158,49.04351702438362,46.97508448861539,43.5085429581274,47.10221564817384,49.221175764580536,46.65967125647403,50.447249650446004,50.05405041807846,53.49550435655242,51.07367682367905,51.37016563299535,50.48760562092026,48.133944273601784,46.29382360700502,44.02578580601839,44.3285001469669,43.95257154848085,39.20570864523256,40.36756015057279,37.11125776242556,36.71912760529806,38.12316147275352,37.32024624984706,33.8468291057283,33.011300301883075,35.239381827388705,31.677682732410613,27.522205454296046,30.73969565572424,32.86706970516636,26.726868860008558,26.18058027392842,28.73269428418906,26.682057975029807,22.469031017037707,24.821063509024643,24.810205509798795,29.7356542995592,29.39488261100588,31.411835152452745,34.19146853338605,39.118452939275734,41.66365492231451,44.38151919309126,45.33721816386893,45.66184057974065,48.380041754276604,46.45165078167381,50.5051679586214,48.44044272894987,43.311047965932374,47.00914995870634,49.64152053823535,45.27917248988647,43.80235334351061,46.931640645493644,45.732828990538096,41.32087868218231,41.71509789999155,38.8207878317228,42.386256754282655,45.026831319690935,43.66444308176145,46.27466619245217,48.104499651827645,46.279752483988084,42.41511901567962,43.10936933094785,43.83656762159634,39.71176603301657,37.65282075768011,39.08663645599966,37.057419082623575,33.75495448750149,37.47392438104935,37.33848285957939,32.69705560445014,33.422613355381074,37.100225748300105,36.407105665338605,40.06579396433858,40.27653912598227,43.527089758395036,40.63022615241822,35.96219601380917,40.26902295911836,40.438732045743784,36.83950814598801,36.65122462411021,41.85523525138224,39.28187412940242,34.44982343623594,37.80702627118376,41.334262935644,37.90885684321649,34.451495973782976,29.81326975493499,32.032050301457076,27.37181423913542,27.916119246180862,23.5251304612006,25.506928278277577,22.15296147416605,20.073291475605092,23.08155551787938,25.55680598519039,27.789943044604552,30.255860448777852,28.43754848474312,32.48100592971657,29.350322918050907,28.035440311032126,32.445927631880444,33.36532656760872,34.03643702190931,29.13635909399175,28.18846209310447,29.939991112679557,28.146926645497395,23.590789986476867,25.69688801767771,27.92214428153076,29.317862305593653,31.87740060478596,34.1036134231551],[12.703937803995492,12.870667416301524,16.303692114352017,13.26371716263883,19.19025560113171,18.526356335840532,21.486324660871485,25.326867356849075,24.348889099848446,26.358510676376877,28.76665363016872,31.257239044322212,31.616310566729453,29.55014729931796,34.55833626454561,36.22720689071387,34.62412163675351,38.857196873545504,40.79834373586127,43.37336359802419,46.28446939776324,49.998222326255174,50.48954135328135,49.41533709682594,46.56403723431287,42.86531587507502,41.25287126105061,37.489957079982695,38.70095311063507,38.54497628470109,41.59249567304843,41.087435625530034,44.38277370678167,48.16848803827265,45.976118383812995,44.20331355357045,43.199057809540115,43.606286085517254,42.9772701943153,48.708902228698676,45.74800920116081,47.07023638826187,51.4073168287534,50.891655759965,52.52573881946455,50.975134494811066,55.13398194809424,54.71407890626431,49.84141845979564,53.6769760698796,56.2846771856379,53.91001572982025,58.0546034118635,52.8758408534708,58.43626518007351,60.481544093368136,56.40788531850693,55.9473965879761,60.781096276035,60.18389165899576,56.119046698321206,57.39955844755473,55.417141888238206,56.980620622865594,54.7671434471659,51.074602078577435,47.92627558519662,45.28892957587025,42.29968141757103,40.08174217286987,38.98261076015085,41.072185218795866,43.27077442312974,46.869653170714244,46.38002061164895,52.56166026215072,51.58285840997271,54.35327150388244,53.21500952160525,54.35245950567062,52.513474785183874,51.98227478751428,49.076723786749184,49.37162997852389,46.61076025573752,45.719517626174174,47.83454986928061,48.51572919552789,48.183929494056926,51.20987748445807,48.74639534843371,51.47738372236393,47.93222706391643,45.8429486988696,41.11233409843676,41.06050376304669,36.71215239653494,39.55429368007661,36.873295767819364,37.8331966118583,40.17431320737477,38.8182009092014,41.05042049159358,38.553611784313155,41.54062934205763,36.176779997721376,38.09888277768924,36.69684556421741,32.326486939555906,32.98908661921998,28.28178840254341,29.77662571811951,26.87288207513908,27.75487895086285,28.688486138995856,28.5692044495966,32.307214115826824,32.18200919055385,36.79556260351128,35.53332806033538,32.31124745977165,29.627953086207558,26.677338961292897,24.91902114346921,22.988159209609186,24.549042264923937,23.69581657941902,26.962713727609664,28.982862228093737,33.927208200384186,32.38372498630547,36.611190079514245,37.807696843739826,39.30708665326367,35.28756925010307,31.728189257017487,28.53173932720885,28.415039698706536,27.548125987053467,31.005880206305726,32.93575221139407,37.45259834603301,36.69134762541048,34.56726644913046,38.28291689695164,36.892884664248754,33.67315272399399,33.115615753446754,32.43096413691071,29.596469167618825,30.516030861027176,29.7563768401826,33.68095200215882,32.373872829604174,34.20124762345231,35.47263522985133,34.05950105393359,34.551999138577976,35.78961591012903,35.07513507560388,34.931865822937056,38.25655578291388,35.771953807750286,40.48100843407983,40.00733853042167,36.66165751811989,38.73010771652191,39.60948536003601,36.17047362017385,33.509354013592706,34.154605531171555,33.41272533399437,37.64932304510025,39.0406988721559,40.64163441538307,41.61866279687993,40.64752420714467,45.54013647123466,45.027217144109066,45.28451257426238,43.486711506396794,39.531136248924135,43.190654317073914,45.46501637719473,43.17914047810409,47.34240640509368,47.28537708287156,50.76331996606056,48.881483614999375,48.69699504890361,47.7505764120154,45.129718596956984,43.02396340481505,40.47338089140485,40.45588223805976,39.829793958653894,34.977422421058556,35.73117893136928,32.248007958714744,31.660865399431334,32.75352150640533,31.81789534895829,28.515493190237596,27.59238229114845,29.555742671923113,25.973163246686934,22.011458756833115,25.036697115806167,26.970805197943157,20.854695716635675,20.341951286625765,22.855542093516405,20.766662275877017,16.556463749781848,19.117039831966554,19.19799456399723,24.109194831639297,24.231301037247718,25.900689459167218,28.58584300692537,33.618374266428106,36.24202469787081,38.881441849115234,39.6283441092043,39.983106090148524,42.6748418198214,40.76418714686534,44.92865050578783,42.93031917177534,37.87287433751036,41.60179979097829,44.37974968100069,40.14303273907514,38.70341190778368,42.01906446629765,40.992890821570064,36.513323238738124,37.11056472166107,33.8030140309124,37.28136309540705,39.741982576746615,38.11632508166109,40.6918242420343,42.35802706214448,40.674542881754924,36.82870122992548,37.299012935808,38.088061027179066,34.07230709704113,31.85360730752249,33.23736951476879,31.273754558985676,27.891829865566372,31.55472375820403,31.481993345477015,26.882531653487167,27.522719213707514,31.224322655022306,30.51484925385283,34.16294248066649,34.405116445407266,37.69709284120931,34.82440488108773,30.172492920513566,34.584870248580664,34.84339991917283,31.269179283928523,31.214789004796238,36.517475894158025,34.094093000630885,29.321250563645496,32.80790687877541,36.44896267637162,33.202121037951976,29.80941861250725,25.13125199164756,27.88220585818684,23.3819627802818,23.341469814289937,18.746692498405643,20.197520881513693,16.579453562069336,15.152148434736496,18.32833659540572,21.229461895356742,23.341250112432135,25.267363869367806,23.53055977727917,27.566074290871864,24.67011380327984,22.779579447958728,27.12794922926093,27.808052522273815,28.770931039048374,23.9495876216478,22.589913536608105,24.546451148463085,23.231304138630946,18.25144233300041,20.248010183914587,22.888753343275802,24.32479669268161,26.920773794462782,29.160728086968277],[10.996953778922753,10.672880958145987,13.653847401604995,9.936321693561682,15.887639219375671,14.441921585426803,17.25120636515738,21.0249029635985,19.919051258976236,22.001988639965294,24.406624124385683,26.834621424078737,27.271287100164816,25.32318206617394,30.299047341571008,31.92313489863715,30.493933798514316,34.81037676818168,37.02764974466833,39.503323022224855,42.577262908988025,46.30159769142396,46.9711293151037,46.08270001264385,43.0927044352577,39.345865712224864,37.55765647541501,33.67138671214493,34.640467012509895,34.30362827439293,37.33449938998765,36.71596088450661,39.98446179171209,43.818463171258585,41.660263359348484,40.004538540585344,38.95233606816193,39.59882139482286,39.12057339629971,44.89953064771077,42.15355794830078,43.35854727537139,47.6795633206013,47.3710875391481,49.20390878285827,47.86824557034024,52.040767121336344,51.358428085451344,46.536950798067934,50.58345255063996,52.97213746050161,50.418579603227165,54.41743004504577,49.1485671864067,54.56799591992155,56.7161595651858,52.67849028068005,52.003514154716655,56.85211677883475,56.462519910310995,52.32972620832484,53.45720744383605,51.36546894783907,53.09830112253501,50.97228587586664,47.15794952487654,44.11756796597687,41.31476416721877,38.50372979456123,36.13717806958172,35.224117013280996,37.446876661601095,39.40280874657375,43.04840964603006,42.33173462544367,48.487964169824146,47.49069578450729,50.14367737073362,49.03088723858873,50.262801926409374,48.34586478681901,47.952462622358546,44.95016233631755,45.41217545334499,42.77458288878529,41.69224788357384,43.793363742010555,44.28848681256929,44.03655678030885,46.92206367667207,44.51588273975018,47.278433234667666,43.69879596817634,41.531901572455205,36.7972875742521,36.79330130197963,32.4379056960762,35.15261871268025,32.444305505033256,33.43875519686586,35.758324426623965,34.506066723384215,36.757937404628365,34.42245315024436,37.62273662930799,32.375984041534245,34.53643434965603,33.413020377166674,29.106704946584625,29.410428288968625,24.620721508968206,25.90560942556561,22.756436872016625,23.824772799666228,24.604756932981566,24.77891100190572,28.523148801663755,28.780248187505457,33.304834528877564,31.711439708700784,28.593634570053393,25.732267432992042,23.064741906037725,21.081284603310465,18.921232595273388,20.84888806594466,19.869804583335032,23.4097559329463,25.66594430078164,30.51402496789986,29.506918746343466,33.74722469113951,34.93119387893816,36.03544027326113,32.18377651768297,28.422269021989504,25.77158176163139,25.361700430107543,24.51156936326122,27.746452274869455,30.083942764746613,34.46836485071712,33.35134594933671,31.09919798480763,34.67161057317981,33.01951684436583,29.818468304152095,29.015675408411052,28.311850906172186,25.32256756689947,26.320991409634075,25.42501445436256,29.474246484140256,28.248194667498307,29.8918610359119,31.114669908528814,29.661563969725663,30.270128681289904,31.474699140678446,30.993607467244065,31.074432823084503,34.28834914679916,32.15827535741987,36.81997913840252,36.701746523890115,33.77536484992835,35.889923185684246,37.17435084975162,33.85373236192279,30.971398666143887,31.360735017765666,30.276295346799234,34.25372903544561,35.39898696008292,36.77941939938243,37.6151805447299,36.477118106884745,41.39588333459709,41.05988426033051,41.38547644859866,39.84942571823404,35.84343473005983,39.8006564384085,42.243838243273316,39.91578741013693,43.96721026414887,43.73512866832765,47.45566201061512,45.85541636347113,45.73241986833785,45.04023833361585,42.16868823596369,40.31941468389255,37.81008913680734,37.87857884578467,37.51673651198139,32.62278283056649,33.4213394052427,30.142743993159453,29.059187969269445,30.576939561741224,29.217995945141443,25.78877256448866,25.5816034370338,27.551347945862272,23.56784802866752,20.161996885629197,23.570012247290546,25.10558171547834,18.899689406943235,19.135595750855998,21.806480402944725,19.11645146281177,15.404854389469884,18.91119995657154,19.009169773897717,23.966817486358625,24.54673635235128,25.48649383358364,28.213435784112825,33.27977295606715,36.26118541495592,38.489612484477405,38.71607782051902,38.794887043499344,41.18094794358012,38.87653956992779,43.18980900311575,41.627719888973814,36.31049295747155,39.75217743570133,42.9519578678621,38.87656997786002,37.06636762038188,40.287976244647254,39.8530636044212,35.395427341949485,35.36703916773141,32.05109005081106,34.89168417582876,37.476010543516765,35.896697167696324,38.12852278910536,39.8584663735037,37.78235131014642,34.14181431195479,34.88881866115876,35.2963843782418,31.10725385545204,29.357761870729927,30.753887469783255,28.602551542173032,25.496551465576577,29.59480163759625,29.443592181061728,24.800454866610735,26.01562160642756,29.899271321142102,29.25316956885158,32.676631466898286,32.5479632345626,36.13852609118864,33.730239264827574,28.808448563901,33.098239443709005,33.907196956283684,30.472026985088252,30.01444372420658,35.62119816812177,33.78413356565513,28.811848987525785,31.958042317148795,36.082200297693774,33.29900332994427,29.79652891435432,25.08364207209543,28.546061793413067,24.291180864400612,24.194893510249692,19.145139457114503,19.6533242979282,15.412577926372295,14.92458247482588,17.702276389907603,21.02449478877914,22.47362331556058,23.981268174197577,21.35658418062541,25.075816720329893,21.642829435177358,19.83095966116215,23.84134971955614,24.684304265428956,25.186311627507273,20.37736212033824,19.495949490662724,21.156618694547806,19.30531648315598,14.744066918133116,17.16381075692008,19.4786259809042,20.874977065851528,23.65653471889932,25.960978436478626],[9.876283960218329,8.19220118548926,10.198197297497911,7.309042042017134,12.917745256461952,13.724747462128972,16.884499902719693,20.919037972014685,21.100072048368826,23.230548373522204,26.21226034665514,28.371630144442364,28.157556709168443,26.952018120473447,31.992272551647066,33.07442317639331,31.28125989437598,35.72601633812584,37.85138411149426,39.836820398165855,42.968223890036526,46.29750163459107,47.0829223677259,45.92617530857263,42.78137507963266,39.40133317021928,37.324408194408676,33.68022871841551,34.93529709242299,34.63919957165853,38.60979023753507,37.44628545510952,41.090057297630906,44.869364819445174,42.241670018627275,40.476900002916416,38.92326253360017,39.28547592112957,38.36191546736685,43.699744040534306,41.063257649269254,42.88442139272646,47.0554108608363,46.38539526760522,48.231045362789196,46.564201063171716,50.63698459681324,50.04443838436187,44.932990079549135,48.54813607278438,50.99272079939014,48.758977588481,52.95789852621051,47.853326430661404,53.366254776448976,55.67579607032177,51.80527149499462,51.412033262857115,56.328962747511,55.837884245274566,52.09269949577378,53.671192329770626,51.8626995752753,53.76028059832779,51.27578960711783,47.45230739512772,44.98638141147634,42.33075013987659,39.918925750114276,37.90894830169796,37.15603576597637,39.79728192758702,41.51259102207103,44.75178763945294,43.823131216922626,49.9471128341959,48.3367786728435,51.054164430643944,49.465609957016845,50.239839986729564,48.074638184392555,47.097079600913936,44.03517674116478,43.977700465587255,41.279243312058014,40.80727061245563,43.36243922589994,44.11476119220738,44.32703221182218,47.62508689196679,45.62152703746582,48.839875665859886,45.42323459387773,43.241401052405465,38.487397254283366,39.01573400271795,34.640821369031784,36.66402892388216,33.720257046850726,34.47158661469516,36.238449173487176,34.239175561720415,36.2716107541218,33.22611980282799,35.70797512136494,30.19090203627271,31.81449630565021,30.150415776663106,25.764934142906622,26.777937740073998,22.202213467195598,24.05787632161724,21.808207974389674,22.759719919745127,24.668649741059244,24.606558626452237,28.713904929449956,28.76677888175831,33.94136947605369,32.626568951171826,29.741667194213463,26.862904697657072,23.67653973671615,21.374659209789435,18.960986416553677,19.40690754266747,18.001021161249113,20.934192273925778,22.577609784264595,27.574314482783695,25.736726499345714,29.880668808956113,31.247438767717917,32.857558228525065,28.9890899834395,25.718832618186024,22.278034520842915,22.830168581413133,22.664617290077633,26.242221884428098,28.872041123970817,33.39393095121036,32.81368853863391,30.296114718577723,33.78049381409833,32.45278465878692,29.16797082207755,28.558200540681277,27.444685560629058,24.98934544939095,25.513906202368823,25.615827193071752,29.32903633263887,29.007436603697123,30.934961616245246,31.54776227882517,30.023908978709503,29.807785410646527,31.25710501349003,29.703926710549368,29.454660718159055,33.30938715301956,30.711938592429203,35.29724318208996,34.55448246654352,31.396233085427163,32.94496756389215,33.946033801666545,30.27431218252125,27.88640889756722,28.234618910298,27.80972791595214,31.92801503922543,33.34203778272876,35.15725680677563,36.124249081685804,35.6870398345228,40.30378676028783,39.627644350424106,39.58364028664987,37.68237141502394,33.52069849811524,36.9372895696444,39.183244818916386,37.11173879158279,41.58144776864045,41.935547476355126,45.23372355501956,43.698031408418586,43.057966172387566,41.977466363505265,39.253372141952376,36.88386255632142,34.15162884926743,33.92648343815218,33.15611837427303,28.277109950213532,28.895436473256897,25.38873529738703,24.836747790148312,26.002627862935654,25.236192435358483,21.84066910436894,20.882777848796145,23.152022251968067,19.67731875436766,15.404324198676337,18.863231871718956,21.299586384771068,15.126670359668811,14.806356474942318,17.970068325192365,16.18431382759791,11.949882960142094,15.115840672098633,14.382557427043634,19.920893541674598,19.38451329605567,20.467459668400043,23.55245430875503,28.369185792372825,31.649774541693294,33.6178505682763,34.08352997594472,34.022869518627054,36.53001050281182,34.39101170673882,38.46695550785968,36.633240417293486,31.347747289580337,34.94451857962824,37.81610673577465,33.608924959155516,31.980713391580995,35.2574175031589,34.46186755629142,29.98430357700913,30.349443167681837,27.014719659459242,30.43565187701425,32.94828091067632,31.51248941071084,34.18066341095514,36.14490984130553,34.42428186881208,30.387520299098803,31.270968895406842,32.290784262790766,28.090312729356263,25.89933996078183,27.866307340546808,26.174047475249026,22.54965908297689,26.435082555855796,26.936505086695185,22.61808235492846,22.95227404566337,26.731400972749757,25.512390736237094,28.805158980974284,28.55034309331229,31.82055000487652,29.362315568550677,24.307193840420002,28.388855815942964,28.95997044063459,25.476082224659034,24.871921515353343,30.354233679469797,28.395382920833363,23.326391899033112,26.47515892762975,30.508568435184596,27.682498882450425,24.133665888436155,19.4175229819613,22.9218261054942,18.758872286451346,18.81242008473891,13.602490392799409,14.246405305289212,10.356318694986028,9.305380500869456,12.09291616334531,15.380228835383873,16.982037621021046,18.63567688171228,16.667895975555552,20.71980875832727,18.059372815048413,16.219231220652638,20.94995699673755,21.957241871150963,23.270878722679836,18.18728078990416,17.14979397325484,19.871805656573347,18.437997753384373,13.47583018634997,16.32738672918873,19.626145821340053,20.883006650759118,23.603553965980982,25.904582724980774],[6.917354534147484,5.391840878482549,8.002489886442408,5.404430331764881,11.488083268416323,9.857383134127895,13.468690842099386,16.99091533702543,17.0400687829529,19.861240457167945,22.57712071622242,24.31324050518021,24.858850444383204,23.93123757101869,28.763481640584427,29.867524350384837,28.72693523310956,33.33018123158211,36.0755033247914,37.94857753074686,41.38636776099826,44.79757405518975,45.88719190194765,45.10258301668812,41.762996846052644,38.260421284705686,35.89813056627788,31.98651673142274,32.62230948485112,31.781780747717203,35.49834954620571,34.01757301867189,37.41526929313354,41.45776111961598,39.07699172478119,37.73458913470249,36.03564221295191,37.13561877587816,36.58784890141939,41.99128924814265,39.863677162191046,41.42080324291173,45.554707513063086,45.32089824768122,47.53008816982889,46.25935545494219,50.34587679750821,49.28785077819209,44.282003405367185,48.24210333757356,50.27181126432234,47.719599384794215,51.61713450277815,46.33017963137113,51.500455086955114,54.07939170192146,50.29741869787475,49.408512955533254,54.357712469880305,54.33492780945776,50.42148894072931,51.59934699421269,49.48540160652949,51.72432353031498,49.50782148117384,45.440228947407014,43.077208358465256,40.03918758548091,37.89112592635591,35.44416083414784,35.02165414976697,37.688532785120195,39.025019161299,42.52274385348824,41.183014044629466,47.223586383810165,45.78501031829663,48.1598047302668,46.75478879942183,47.84482612700681,45.4516479418481,44.83345639498574,41.40415847184872,41.74653297022457,39.42352036661061,38.53834043530197,41.11444793566156,41.289676952356146,41.75180014560809,44.53593569181592,42.62115467743737,45.740993459968166,42.15188240285276,39.70261925045846,34.98099296690338,35.33330195575679,31.009444929034238,32.78324703161828,29.688532398571457,30.038609384634963,32.35568446197113,30.315287720961205,32.86111245167567,29.913526867130393,33.00121646733432,27.63305658461372,29.41510955959592,28.383146283172337,23.96675356222946,24.248824497145407,19.61661934904504,21.6362944928778,18.944320841633722,20.711099326430617,22.34868554111601,23.05869886312806,27.112666914380313,27.94035418148922,32.77335224984755,30.768875770918548,28.068142497719872,24.861518168426137,22.42571118321319,19.73015907740443,16.717513750072197,17.95390544566411,15.585329145805417,19.30017371017356,21.138627995371333,25.989080411860105,25.1067425222254,29.079980889102444,30.754621525076832,31.59545591516029,28.30718269592496,24.813275604880094,22.33436422659441,22.647297931126822,22.64405748055866,25.781905381383105,29.09713624949077,33.343954432035616,32.12364067942388,29.405562082593654,32.577912612427355,30.65829733867934,27.427640476610343,26.123562198823524,24.764184028912133,21.72592206177672,21.928584884873846,21.384494312898013,24.975576598586162,24.171938588788965,26.25896315836685,27.220163360210456,26.06120123162723,26.085094360147444,27.894178953677237,26.83590369442343,27.436131380045882,31.194193910185334,29.46641463087859,33.910578024582726,33.85850921005639,31.50935014485273,33.00577069026713,34.663949259743745,31.124587487296676,28.516305198333093,28.35705043379274,27.428580921329438,30.969360153200416,31.820175214720035,33.14702091978493,33.61651865910673,32.87946318341398,37.43405641317087,37.35100526595075,37.31073575796109,36.119010156201135,31.610336963690095,35.645392828084326,38.26317387835843,36.2573018480734,40.63944620088716,40.74954134510362,44.48776636986209,43.52248050411196,42.90708579442539,42.20745586821108,39.04977378292003,37.003796890655245,34.24525653062845,33.98734147544476,33.43751394474287,28.50023998078813,28.846394553452093,25.444520105970472,23.960711277408784,25.28667619072156,23.631154784687986,20.35810757098816,20.37195326279917,22.04655440967171,17.88380285821519,15.046195389183294,18.39015564217904,19.54277148191464,13.369886311867255,14.148233386723783,16.87609047752703,13.922756733084105,10.702062248979908,14.936465967469518,15.024865278614858,19.808264187100598,20.962227207963565,21.085945912261476,23.702910418744796,28.747056536532448,31.97020434932565,33.84188432221487,33.64314308397585,33.590977439063956,35.798616870113726,33.35368524665521,37.79939459954661,36.48332555716229,31.156596980310702,34.48449469861982,37.96501333148298,34.109098207553494,32.2047710909521,35.5442170342551,35.512071776363776,31.067948945905034,31.00143054328274,27.29558176735527,29.761109543730996,32.18722157082014,30.378353323986573,32.45840191481683,34.08275925678022,32.01331968129798,28.437347564684707,29.10651324973873,29.47802173271788,25.30476514939106,23.562644908682095,25.0087914834634,22.901931648926475,19.773425631743983,24.033410320283558,24.026577415012238,19.49353492502405,20.801241251582777,24.75966366524774,24.041042973780428,27.269462552391747,26.947087362695452,30.677515919591656,28.554654280146973,23.53340232928814,27.79329310500506,28.946151047446453,25.661902067652758,25.115437580547255,30.874447353505015,29.5003432282493,24.600837756999475,27.624763333084104,31.99712132055956,29.66847373188958,26.281037711263554,21.713375460010184,25.88690007829769,22.152760428711524,21.495982672011667,16.370719093001373,15.644299316240932,10.95632617625538,12.096320446751735,14.463503573341885,18.217289026220968,19.084641605281337,19.677081679842384,16.799755183458455,20.255289129780945,16.987845699289917,14.45565420182975,18.246440982993,18.909829557950857,19.646695651244272,14.887157566296798,13.715543262606252,15.683543750772731,14.21868770061606,9.20278640093273,11.941719383053794,14.822293202930727,16.227473963601536,19.135681340436683,21.463340091905014],[6.154968378690713,4.6506580425125765,6.575012826306027,5.91117198734301,10.732683813023156,7.314620347535096,11.39083584291729,14.158113036476216,14.664261139078814,18.175933396772674,20.733626538187494,21.846251904625078,22.938947090550464,22.618707590274145,27.137976504069336,28.03509939368697,27.433978856986162,32.148728265859354,35.40127218918495,36.96690922517512,40.6669797445139,43.97604791156964,45.374605816375556,44.83599509390836,41.30324181149413,37.864020747262884,35.17084754090665,31.165191637524483,31.30217315295041,29.952332990168145,33.71916988791486,31.728226595121395,34.98191034618279,39.23022274324312,36.93845134469049,35.987163794242605,33.97197604749913,35.67534580462031,35.328057869345,40.56146313892031,38.978365894034475,40.49907650871469,44.50078683012574,44.54012233482172,47.06377896490165,46.041695629489865,50.06953673474236,48.63303246057356,43.66312559541944,47.742340571576996,49.39882954727432,46.69195190361435,50.3540376960378,44.99890958641099,49.841750444086045,52.71716030702059,49.10557621092759,47.86230625784952,52.83397158780882,53.20960341207194,49.30848628028691,50.2692711860211,47.98699955514532,50.587077974742435,48.50695617754268,44.244196201207586,42.206764519909605,38.89882914874389,37.16722938574412,34.47212081331007,34.422133508891555,37.216240940240446,38.10091190492914,41.657658213849196,39.8707460516636,45.76531829897892,44.2776656690564,46.33052616881404,44.936349229816685,46.150315194149634,43.46199933296118,42.973936706600355,39.190885439252575,39.722322516501556,37.76565777437054,36.72485451869624,39.46751353804828,39.17467095267736,40.054285917919636,42.46827862947477,40.80717045362462,43.97285110896093,40.307397730398954,37.613646659946184,32.9706830545474,33.34169597109903,29.12593830605227,30.34897439387937,27.04337152023499,26.843854769859025,29.508641138405086,27.127778937420665,30.110326616837522,26.999877360718436,30.386888997439623,25.140710036097843,26.82426147421403,26.242128227822306,21.851353579015576,21.648775037154156,17.183555090711973,19.5920982621816,16.918479966920863,19.445440286494893,21.19771725822762,22.548935132176396,26.556620130624854,28.000791008060407,32.64516044222539,30.145469959736502,27.761488205335663,24.33505944269166,22.500746172714557,19.449153619069467,15.924724785901796,17.282677665081284,13.829836062346063,17.923949800686007,19.615801957558364,24.23098342566083,23.983094621240586,27.65052710277866,29.670949369028275,29.951586093874464,27.291790211170834,23.873689030714136,22.07825044483995,22.537947867388798,22.939167874633732,25.699101221084128,29.63573098560454,33.602484006623804,32.02636550319937,29.08964816883471,31.873258470651365,29.552089281852314,26.41541780097683,24.52865971641489,22.777796168840702,19.418893796116553,19.022266809802318,18.180151672814777,21.399594127552444,20.439603368026972,22.82914933781976,23.917457126214867,23.164391048701063,23.094555620374663,25.38033192570383,24.41714181232134,25.758508892774618,29.602568254197635,28.575799289616377,32.769955274289366,33.13264577061522,31.479611532928384,32.68859809748921,34.80141727444532,31.311990878539845,28.750341283521777,28.124354826780767,27.00921484802422,29.979166063376685,30.37403115891415,31.36961768743346,31.381355339504996,30.633912836448726,34.948197258256236,35.32775483937006,35.14283140440724,34.52242647334474,29.66993368470963,34.04054058893709,36.90618749165996,35.09006853561313,39.49722077522185,39.600247685098154,43.550254660110504,43.14049989041359,42.362846775824806,41.870821469113224,38.41169538497299,36.49088950734433,33.66299210004131,33.26387356483817,32.76598818949888,27.874420748953312,27.87879151498411,24.561055050507157,22.419403495220944,23.710993108319563,21.426889996987985,18.40660559683146,19.10380223558146,20.222349294037237,15.691177615481639,14.201922781742777,17.231826821806454,17.3545240065546,11.547409977954844,13.238869172582296,15.52477464562622,11.862008728854489,9.952222937790287,14.67822975616876,15.19794657053787,19.210672325572112,21.42856462551008,20.739928114162844,22.96123690038852,27.990219335632567,31.212806772001887,32.87253667279344,32.13269735598695,32.03806607908826,33.97993001861237,31.334312901118498,35.99656291389274,35.08146633714559,29.81200736497327,32.89481527365952,36.78067810220179,33.254923059355306,31.19752625104198,34.57343759687272,35.09781440837283,30.74520014987065,30.4488662152447,26.45866101873847,28.188369691194275,30.455030090817537,28.35404114260053,29.99078893725755,31.33856377271862,29.08231497979639,25.868070505027656,26.34946670107314,26.287369330253583,22.194399815059185,20.778826658444256,21.86772213465994,19.527272411579254,16.80407311770136,21.29519166319688,21.011688357090556,16.479342172299987,18.466302720812433,22.466450861762436,22.04791279111567,25.083908936127997,24.64864387964655,28.651112425048535,26.87636264511637,21.95602452525038,26.209641874534864,27.806456467247337,24.767893867210876,24.240243099333373,30.082781141212582,29.220633190646314,24.560399410151703,27.399530761082808,31.947721881086107,30.0810038867477,26.893582621954405,22.586640690237125,27.200082611396965,23.92721825650781,22.787146243067408,17.90051550977342,16.151250742055275,11.353171060745272,13.938068191461378,15.799658593401093,19.68193863884867,19.98006028334419,19.67337178417484,16.37732962090289,19.205366397747607,15.827008397023906,12.656582559256195,15.472003791793982,15.760881825327996,16.17635861629443,11.85483812300794,10.434883310300412,11.861739524872942,10.667265447137117,5.515757755570865,8.186334078415967,10.935953720710453,12.41490687230873,15.471250402305069,17.789156110633638],[6.6458658877870125,7.259299233816887,10.388122356074451,9.423077414889763,14.400782660449867,9.82980942232337,13.463452013082026,15.702468273223756,15.185112106202714,18.89523476201225,20.875157656730707,21.9733311367341,23.85368308964082,23.09191010271792,27.459999437730485,28.741703239139472,28.558433187957014,33.18338352795095,36.57317560501057,38.430368608499045,42.11511693541637,45.664675438959314,47.01695995660433,46.662429076526955,43.22468808234903,39.56859072040779,37.041311069114236,32.886718176297215,32.75937108884053,31.279356248841435,34.331126401748506,32.61255566216708,35.50116441607934,39.865680945008094,37.970202350518335,37.21077177884483,35.479558201930985,37.50037623792056,37.46874970380251,42.92131004964363,41.34362658597681,42.484841725689314,46.55306781896045,46.83664139708923,49.368910643225355,48.54524517440301,52.619306164328385,51.11802429048406,46.32197075259585,50.62533416953952,52.228611287747995,49.34258262899109,52.85735429870774,47.413254349692984,52.132299009704816,54.95714780570411,51.27931518954027,49.808973739711355,54.72875263430642,55.23101999910607,51.097584186188854,51.72554414753247,49.21978081142681,51.769772269795006,49.960218248148706,45.6820877312111,43.30283439642533,39.851067712045094,37.90286130344427,34.89311524972547,34.7923165534025,37.27453315051763,38.25966899701472,42.14487169456995,40.42760894681927,46.30657330500373,45.26643220423327,47.18744118046262,46.1447941353488,47.70132177180144,45.11633078456075,45.036632514997244,41.22047081454006,42.11053121525124,40.273098798941085,38.84369961324644,41.31880980410164,40.74604962873188,41.40654010382881,43.417463738557295,41.52948973848285,44.349116899439956,40.528793849341646,37.76096142348006,33.16278865082403,33.0685250299425,28.901779597588007,30.52223627156909,27.32842870010094,27.031490179988964,30.372757979562547,28.419779648650106,31.739454395861987,29.06623809086327,32.94568716095396,27.945966332386252,29.81425117113954,29.59443125968953,25.296208968180274,24.683811212976494,20.285864641743554,22.420647344721147,19.25323201194074,21.906067153323608,22.907611161110655,24.46269300359654,28.20548759931126,29.802169308073623,34.00426660778103,31.275411086993522,28.77296568885141,25.34669032123535,23.933755996628815,21.098144689282833,17.75113775572089,20.018529422241507,16.860021410034545,21.19013309566481,23.114554801412623,27.570329925581866,27.70371941892603,31.334559459922207,33.32405869705551,33.347951514162986,30.779826203400784,27.17810039583636,25.705499102323206,25.74687574555491,25.780021738841477,28.373117006303534,32.100902722051096,35.9994335067835,34.127017607887964,31.35579074214451,34.162273406726264,31.621514876354045,28.56768674140637,26.497374389905303,24.96480657488803,21.207860755619,20.964238996408163,19.195471160342375,22.395106599368624,20.38549104324607,22.816581102101356,24.594287171537736,24.141329795040004,24.67886661238749,26.9459015063112,26.74867454720102,28.423359808071055,31.86422375657951,31.19432758171523,35.38740703575868,36.10877377891468,34.56898782033918,36.0456477537039,38.249239223428,34.897936480539144,32.141819379244915,31.573082832621132,30.175438160060153,33.05139531905404,33.26722671275972,33.96858112820062,33.80639667989252,32.62907120449203,37.03281953276667,37.740473348351415,37.732209958458625,37.423912301889835,32.629483977800284,37.27980409376874,40.249661434423615,38.34889749833604,42.539122813477796,42.33765592051331,46.51324992592299,46.09696995866941,45.568963293309736,45.25477299516299,41.73626626863537,40.04231743434589,37.30820923362887,37.008694591141825,36.62844792808301,31.75120471927713,31.761514729011978,28.477968909882186,26.184602802511854,27.39481066225175,24.866638968329045,22.045149039724162,22.858007842133514,23.624023898583594,19.050028846936808,17.966856837951422,20.606501972969006,20.133782374443992,14.618029690493707,16.179915495615603,17.87220548899273,13.846608011599782,12.181517452195076,16.584178002326897,17.758129044425647,21.256439474117972,24.243159139301326,23.742951544144056,25.607649831104535,30.820007003950362,33.612987729819714,35.6682728801882,34.915951620439394,35.106997644628095,37.08209175297205,34.543653723672804,39.3274914282606,38.441273482822865,33.35998149866238,36.45220990476677,40.404474485415435,36.96543070300892,34.98753592517286,38.40931507488905,38.95448396379533,34.597467517405995,34.39393479819848,30.334318944167656,31.91210709061521,34.076943675117846,31.76081813571509,33.1624482078494,34.15998917952546,31.89382518644332,29.01005315258156,29.087156888020832,28.67438094854693,24.861480661332415,23.560415484110877,23.999382992112622,21.386477269176584,19.106469525289263,23.365516225218684,22.475454663455384,17.762621109806826,20.24728231818251,24.165099660575994,24.27354378871743,27.50336146499899,27.42737205389699,31.50242531593394,29.545269749025405,24.980531897607115,29.458170651241794,30.960162998638786,27.91997644838744,27.78484883126207,33.546446264182144,32.5210893828896,28.06250629801222,31.116731470982586,35.506846278049444,33.485467751568216,30.39134900911337,26.053829430681564,30.45900871814049,26.99732298503948,25.649207311650333,20.928696036075007,19.51480761990856,14.76897097901191,17.091383793184757,19.337427544780194,23.200182140402095,23.766733371931835,23.53435529722342,20.353352273035743,23.106331660843775,19.59770505129354,16.428685353276148,18.65343798179858,18.53944296455371,18.512292599692636,14.835553678389447,13.147237695044206,13.477262747701396,12.605843525970563,8.121193027870993,9.164455516326381,10.822836814206028,12.464676546870686,15.367826197483424,17.625956430950556],[6.542403162708075,8.400718863692118,11.381333311464742,13.109111180295299,16.976026638985154,12.1909603807705,16.0051251119609,16.94988379826004,17.36535865112202,21.786147268455572,23.45377270627188,23.5165220138143,26.170950816077557,26.268644963607105,30.09582928971714,31.03961714111107,31.517579050558727,36.19285280469744,40.07929746966123,41.492952293425,45.43594093066619,48.75541765200299,50.456006584194235,50.2891087513664,46.64691360336513,43.176374530495345,40.26941729241134,36.13480150689254,35.50974154830874,33.411700380703564,36.57813626018901,34.080814438063776,36.68516351390206,41.31542821565543,39.54824716189041,39.359769470850026,37.107331041256515,39.85255394937621,39.93957355714447,44.95594482273203,44.09151347385875,45.37394115849779,49.20519279612186,49.685847397827196,52.54035391198139,51.85780159208854,55.81297735611374,53.960087529684,49.12599206999275,53.343740350181044,54.543347739726805,51.633896860873485,54.91141228035264,49.49165049472701,53.766178278360464,57.02536212933612,53.64753457854382,51.82165168250648,56.74985932266518,57.727830735457786,53.747406780801356,54.20472208495011,51.55484232754785,54.56790742173586,52.87532052630363,48.4005242383645,46.52274953482965,42.81691737052838,41.407513599357074,38.18395740101816,38.499010234085745,41.075957963468355,41.556103165896154,45.45759469164359,43.21186221036855,48.82407621581544,47.681930377362654,49.139366054822375,48.06031611152825,49.68359064768088,46.64422197428658,46.580222084626776,42.26004784224685,43.22827395905712,41.92067760683326,40.52950117641811,43.338731672277866,42.168921587198305,43.526046872707845,45.036241989921095,43.593455940284834,46.45964183446622,42.57789074383093,39.47520399705509,35.09320555407156,34.97957041841922,31.085504756245168,31.81485058173583,28.338896692148424,26.8655335394165,30.871345284459036,28.118082834788584,32.1840011759051,28.996784359316898,32.972860233096704,28.16534108295989,29.35955317632793,29.54047102189565,25.30188892996633,24.43947190034721,20.74033937763643,23.784862949843923,21.210879130173712,24.623033434499796,26.052352919123074,28.134544972373067,31.842890722269292,33.91182810654485,38.03553873206365,34.92545051917692,32.80013012124562,29.2390662484381,28.27953090194723,25.160464692341375,21.43468470818308,23.25282697209828,18.893100660391376,23.142819214042323,24.39492069573479,28.497000441756164,28.87397698281717,31.89522243958298,34.532785206977124,34.15153226664053,32.4846218077659,29.34923576791097,28.152639300433073,28.876385712990576,29.54408360285021,31.92716957609899,36.215835683854145,39.911112411859904,37.917408038923334,34.90277499282133,37.26146338786859,34.42812080942523,31.514168698585912,28.877003361900687,26.745582831055337,22.85862421856676,21.439112690675287,19.410462905865394,21.337403806272675,18.75942384634715,22.149187229415492,24.272605088242877,24.757893082446508,24.90642149421786,28.04160998834399,27.63413880728743,30.21381136804597,33.94457610063317,33.94336991005941,37.755186170218956,38.6623263882578,37.72906123540865,38.619754514641826,41.08073885577941,37.592907723530246,35.203280895542726,34.18191982052294,32.975059252631844,35.26268526300191,35.04912926179732,35.49699545189739,34.70856631199978,33.82432709203549,37.62022859315055,38.925337506856295,38.515854014050795,38.87792595138588,33.57862907504323,38.30924122081334,41.4612598485608,40.00212488930463,44.41197801070509,44.486767294667104,48.67997874196393,48.91438338051887,47.96177010955704,47.65571117324835,43.921781300133624,42.0609747981008,39.11840209388511,38.41810351054023,37.72823373725642,32.9863980978726,32.29406465517051,28.848041733933186,26.166878016585493,26.562879052359403,23.579307770835687,21.587691820312184,22.388293541304414,22.022780343169767,17.60497201838785,18.01797215180676,19.396982610912858,17.45743134122125,13.117801387712536,14.952384056592141,15.372304687551052,10.88581166848539,11.049265769272631,14.940082885709119,17.013374286810624,18.915357191930372,23.59151926685055,22.460738194566968,23.436937824261324,28.63922356432636,30.898337251393,33.134925446724225,32.00583283855683,32.58174306830359,34.47961209488457,32.195430522746925,37.182738716598394,36.44618585682039,31.919693607795562,34.967929461082555,39.08566233562271,36.079874962497584,34.369396494534186,38.015039158370215,38.790318943137095,34.55636103257369,34.84050339697407,30.235067267204165,31.406992235333963,33.014477230870085,30.023988199826192,31.061701107771924,31.287174450817982,29.393040058440793,26.99641751661498,26.074684498174847,25.39888505804542,22.286177950394457,20.78914007124832,20.23277109853844,17.46989816324951,15.709791213646396,19.426323610116235,17.877517354454767,13.186698926692209,16.258026721289394,19.944209703490824,20.743843967186127,23.991128398115098,24.40563534143661,28.536360234009084,26.52693342660563,22.68486247296015,27.375883918296207,28.908942242145653,26.15155768760293,26.718227350621547,32.19727780381658,31.35315138693187,27.61661213054483,30.84195856323504,34.93579349087534,33.19562524322908,30.596655721984362,26.70111754929707,31.21380820592735,28.287551666471632,26.017089431409172,22.05637972626762,19.91858967281174,15.640664473953299,19.114368922736016,21.176913114910352,24.98428260405783,25.40835351093867,24.199489662901776,21.602061377726766,23.824658171321076,21.06689506887592,16.92061196583274,17.889533701121113,16.606223986714358,16.85395068630006,14.585942945656518,11.449342930007289,10.879958759810243,12.315561424701832,8.145940355263772,6.085916207342524,7.559165518726076,9.519850105654598,12.0058661089098,13.96030111368933],[9.716951670964102,12.494976392855051,16.06761301370263,17.42904551612042,21.655592158640424,16.50921828627096,20.018780117434293,20.601866529421734,20.31089104632678,24.743001750440026,25.851693310521203,25.78179292255918,29.127172580085,28.914957871762176,32.47546610144452,33.71409321360163,34.59449746832018,39.138887823320815,43.1356417088771,44.761825169387116,48.68383285041579,52.177847209568576,53.85044004611608,53.84464935419572,50.28425487192991,46.66021448625164,43.88500709631271,39.65880169202167,38.801301964516306,36.57091263571051,39.070302991857176,36.7696131186861,38.94921963880515,43.66692814369282,42.311014882905376,42.3626859226106,40.32690042791323,43.381648990387994,43.728710712950786,48.86200098318782,48.0527472654563,49.04144812798768,52.895374812826,53.58486221763933,56.454587386312475,55.92872299140936,59.91083247970029,57.996082587690914,53.30044079264746,57.66863605915855,58.805143390409775,55.76555134928497,58.89982568206991,53.428778532372775,57.54461880014292,60.79599281362344,57.40209237239815,55.35669961965209,60.22285699381238,61.35352864257784,57.19992859001611,57.347377025223494,54.49297675334568,57.492397353814674,56.061068680460515,51.57903918772793,49.451105260008696,45.623089765215035,44.06917706286349,40.57812967606454,40.87178668977763,43.12894315810811,43.66092544212632,47.837105430628455,45.63098926600121,51.144531984305345,50.42709754073267,51.69477466599548,50.94928356274692,52.880935125078125,49.89954670311431,50.18841920795626,45.8110735525034,47.0763428869058,45.92218318438183,44.23529825171083,46.83820470153103,45.371626674487125,46.60193334194346,47.67070674443653,46.08394421527765,48.58981050799848,44.588417443546135,41.40657056310579,37.17096914098691,36.5895746224713,32.87236367467209,33.84969966408026,30.524614676108285,28.795863949004897,33.466630112692066,31.04238199089801,35.43185875645874,32.59230236937438,36.90226244208449,32.355307268957354,33.582560504361155,34.034704099260935,29.887242630276486,28.782455060192675,25.230886937856628,28.11683648765324,25.2845450394063,28.740565690892172,29.66056108190218,31.862783690145687,35.35306403347504,37.51423873085183,41.27657004838117,37.99915286490853,35.809948617602906,32.295483950637006,31.654101141073625,28.726564262475247,25.17424929701621,27.520713685445305,23.380765676089855,27.728740821672623,29.087116311554723,33.073631625842275,33.64728230925674,36.6027338184908,39.269532352303926,38.72544616862918,37.165960039866356,33.94456037269499,32.882415822928934,33.39180465581286,33.82578116966218,36.132503433613344,40.25796358301919,43.91920074141746,41.7249738945415,38.83928096799243,41.203203297069955,38.21277443545467,35.38216940167514,32.61491222287589,30.636670624537576,26.52279391345464,25.16718783511177,22.46205140783034,24.090349036412633,20.490077531422227,23.95755434791328,26.740452506578944,27.626875959578804,28.23678808045867,31.384346920028957,31.555434875490953,34.405212407198924,37.837578614725956,38.11857292341697,41.904858350425755,43.06008998176445,42.19318241209541,43.243124606790666,45.743701436183834,42.310958327626665,39.81710852240702,38.84548166192526,37.48907200018271,39.71686199983615,39.36904245326001,39.59111232365642,38.62220207294434,37.44010378992713,41.19870068143768,42.82601589914768,42.51237970251624,43.166313291631376,37.89187865150904,42.791170966773514,46.01564664557411,44.539277296261666,48.81292914020446,48.690257540637475,53.03759269872191,53.298280322456485,52.49629652484865,52.29708064930041,48.52259993279904,46.780133121456444,43.87471963545712,43.1984474133754,42.521886407723294,37.79703380820979,37.04801877796826,33.57274884860087,30.858627656259554,31.049034734473775,27.969327570113318,26.22389991191222,26.944539551764773,26.253801339069675,22.012269339260772,22.581851604067158,23.5586374836649,21.20882548700751,17.379752456757863,18.853485556635015,18.657402524048493,14.36874880906106,14.644724418827249,17.739659682391938,20.353969293531858,21.53631681838124,26.90888725178903,26.030155349823136,26.55374118058056,31.810617282148996,33.44373287393181,36.16605322831362,35.092256490968985,36.05369908784584,38.01853501596641,35.98945087532261,41.02996038897731,40.255364605117954,36.06547741009537,39.14884386118896,43.230688531511866,40.343766847863286,38.81184989901132,42.532326483757274,43.23418459177073,39.00687970698704,39.53429809058239,34.82499206586417,35.96546257171182,37.4010940669601,34.1698021290521,35.018434721049886,34.79625494615235,33.07497587699386,31.033791079299533,29.584827092274395,28.65564440280638,26.039120241230215,24.5594153450233,23.296592747814067,20.457949277562882,19.2287772049196,22.294500702358174,20.107698193658486,15.641717371939393,18.883357245259937,22.16451619338803,23.571908222544657,26.952505807747453,27.863461686324445,31.89261933187178,29.635638374214235,26.375341720894188,31.21998938346363,32.524301218030814,29.81291544013224,30.864312629616528,36.136515002407585,35.05551785074605,31.640873330851907,35.110294371682066,38.928405911675654,37.01231216567426,34.58030161804189,30.719439493616626,34.94944870092299,31.906077926500302,29.379489181420777,25.722948471351586,23.948413974604115,19.835786003125317,23.006051729794027,25.389365689048525,29.14737327083537,29.86261561597847,28.729797580393505,26.369860883053935,28.617913577440223,25.866742497684474,21.720830907217913,22.39046516428112,20.786857576853926,20.795691216355934,19.11428621896786,15.911185682431592,14.63378446567802,16.376106294980705,12.837141399929726,10.177723805616138,10.207165816023654,11.953046760354987,13.56855651903142,15.120998056591505],[12.03522123593182,14.149425084302012,17.25390144378213,17.3885786585807,21.47249064243471,15.50064620820594,18.369583965171515,18.759543596087532,17.533080427273333,21.782777189457537,22.477232154670258,22.56134612716143,26.206961798489836,25.617338809482376,29.025470581463022,30.540389958582704,31.61833476673772,36.01297761068466,40.03444821190343,41.87982317237795,45.73440477990519,49.40629621747219,51.01167758414276,51.174287907281965,47.720542565434656,43.942522687055344,41.34455534245693,37.04309639767517,36.02373036594681,33.82786707378235,35.754943953954765,33.85249345353046,35.83320152171782,40.502530229162026,39.40136935608083,39.45698812892295,37.79074524717245,40.90591990654768,41.50873876271081,46.89001634267866,45.97054062507785,46.573815953100066,50.48697343983896,51.38132019713583,54.221725018728904,53.91224944085153,57.92381965503194,55.96190172926874,51.48688734245659,56.110460815346855,57.22384159223759,53.997293587310715,57.005389089907005,51.467917667860135,55.548591983038676,58.624265896518665,55.12278385699923,52.958174221115286,57.74721114133332,58.88942500375974,54.52926835933929,54.42951441916914,51.449065482530614,54.31673085616371,53.08717365931572,48.64869850495134,46.232291263187335,42.359896579251306,40.65137034903814,37.00678190420113,37.268904704032146,39.32906804667652,39.898159055897274,44.22791816602508,42.12496723016146,47.62375065852475,47.223240519996914,48.48580639174825,48.00496923011955,50.170668130059056,47.41708826551253,48.054164790497616,43.845037501456396,45.41043432680535,44.21909955504271,42.16243280497862,44.4178904635148,42.890675043470296,43.755799871797684,44.64015166839892,42.802537669826705,45.05853618536761,41.00803923790215,37.88538867130131,33.67354315906637,32.83307520910255,29.14333037320727,30.54166409964152,27.429620489796743,26.100545318398183,30.902938289576806,29.197664408810677,33.46312384353703,31.28571886209856,35.97758721380652,31.6664806606781,33.461957246582266,34.167056486663704,30.18109109364131,28.674270811899905,24.917896469128376,27.07763624822089,23.69705706807,27.034628143935507,27.245142454460566,29.564305356324315,32.75262566539785,35.058351689289566,38.37726143062352,34.94655418208164,32.742454010072684,29.292090872873562,29.059692377026167,26.335567493335905,23.014202742711724,26.08526593330026,22.491195639283877,27.017103762284744,28.859069513116573,32.70952359273762,33.79065813945272,36.933090695053785,39.24217005064916,38.441243915272494,36.71886943799622,33.15802779820492,32.594514928534394,32.431092581759366,32.46589132608391,34.498841747022325,38.450781967765145,41.93962869524764,39.43826465970458,36.731859905783374,39.0856327982818,35.95158734517619,33.22881796415524,30.423442896073578,28.806061294176207,24.49863740370928,23.697189055399843,20.42705253955024,22.561357084992075,18.5753532173343,21.457146478313202,24.51553648855359,25.230452165498786,26.463885804601524,29.200397104703857,30.1149149295854,32.95684447599042,35.87662502219544,36.398144799529874,40.190919878396336,41.717186978088804,40.99589247526248,42.43071844788133,45.099243749019585,41.95005229522802,39.118304266551725,38.20396875099221,36.42145078923731,38.56872777984886,38.10580484108597,38.07881954615969,37.15694489471519,35.48378493179571,39.50077579497068,41.20002527842564,41.217816009443865,41.97124850134339,36.98847059950011,42.16433828071135,45.44892896999974,43.7251466735923,47.63278288120553,47.09001978747131,51.67530041613405,51.84864035860063,51.42661556313072,51.50516634306012,47.67380064505688,46.33958800100668,43.65473620628636,43.2830749119299,43.01224608978615,38.286203334377284,37.90684011110596,34.745959138718355,31.81056215124541,32.67832648497937,29.40841708703459,27.318655143870394,28.66953585075955,28.383224445194863,23.822269188229665,24.36345744478736,26.02132598188335,23.88608460067288,19.724868220845295,21.596927401525598,21.947391254449478,17.457954451265632,17.482018864024656,21.17761205300391,23.389575074808786,25.226710500568778,30.02163772006056,29.099523664074674,29.992053773561587,35.2134554252236,37.226961530496176,39.63273354945751,38.37681682352573,39.005877982270356,40.74469347836016,38.32314590949527,43.36819769958348,42.88513754812129,38.337123162619065,41.17687028672541,45.48298692199793,42.559589687599235,40.66751602037482,44.17212264941382,45.18557569226237,40.96859244339679,40.83602587849195,36.4401751579835,37.19434818445816,38.93101376942537,36.0255958612574,36.6371449586053,36.70334398793721,34.44238664906791,32.541610155709975,31.682237582360667,30.360559354561943,27.406784234504887,26.572513239399523,25.54926104059301,22.521508497861973,21.586213425255725,25.18884639995539,23.07707929686801,18.664923407078216,22.283927771387702,25.704951165387968,26.95154802117373,30.09482416620882,30.53399894671296,34.75151075338925,32.89110255909823,29.239405559732536,33.847806152196135,35.51237917932817,32.812257604960074,33.32079186902816,38.833674873294086,38.02931260547772,34.232476894225485,37.393083231019595,41.57252079825105,39.77510613261548,37.07938248479243,33.03267550484118,37.442724283956686,34.21494151310396,32.17107920740082,28.02579051485777,26.276555053870357,21.80102889977937,24.719109796236808,26.989677558291874,30.849592626069754,31.334408538597607,30.457300502424115,27.351441216304355,29.465368078522584,26.04856199848117,22.46764617331875,22.993547543501357,21.869427562650753,21.05739588300868,19.274046128360716,17.079314011874906,15.300314244207227,15.777317975561198,13.17990029333946,11.412489306681902,10.272987512521023,11.874017919192784,13.653219325279263,15.396504651940065],[10.481848737374207,12.084964156997055,15.160236235786105,14.40782008741085,18.83075814686765,13.070942855346301,15.980129086627768,17.105530146883254,15.661844042635956,19.627672002953698,20.694646981632836,21.37361314359417,24.404175444598984,23.474587540557863,27.303582752919542,28.89598247565641,29.490055280238277,33.93672986643467,37.67718917341945,39.67781657113687,43.420724774309214,47.150490395663034,48.591393386282576,48.58572069958672,45.19811740473178,41.37736573790868,38.91392209741001,34.62351755197827,33.945099520536054,32.09813582781899,34.24311133481039,32.63927214311608,34.942225829503606,39.46861299091291,38.13266046540684,37.811016925706234,36.301241315226385,38.94804103116423,39.38312324335298,44.93500862261778,43.64332432022318,44.30810823185034,48.33867532853909,49.043450788741346,51.71771544987722,51.26003576734141,55.32484020801907,53.56950051662696,49.04036577837363,53.632988386123,54.97742059309507,51.824781011053545,55.01970216594183,49.48694335085829,53.858030638903166,56.738047099966266,53.094119133276976,51.19485264117791,56.017131893696416,56.862169969205375,52.49423118863762,52.610982789310704,49.77903385593454,52.42721425416709,51.02804917276614,46.680558346524194,44.09954084310507,40.39190356562635,38.44637365119063,34.99412759401797,35.04018265039425,37.172381291204395,38.0044649656752,42.24663739724426,40.39819334029998,46.09359604168672,45.57783515549816,47.151764985501714,46.551539009516816,48.56222634955133,45.99307962101951,46.467953556877504,42.505139305295174,43.901100857470894,42.393980915671975,40.450719330848344,42.64555666968468,41.52478717332374,42.11162295718457,43.42483453578537,41.418582955843505,43.800136068560036,39.810215569510724,36.8734077758153,32.470812004777905,31.81277676775035,27.882769607014854,29.656969038327894,26.598765680551594,25.929780688143477,30.172538561509143,28.67047139640697,32.48700687740164,30.36070030041479,34.86591483986361,30.32985951449666,32.3709272487197,32.76324974755341,28.68566912140213,27.42166342733219,23.296798371451846,25.164486691705836,21.607527157114205,24.591862094443275,24.790648525323107,26.812401690731956,30.117189119154954,32.14811030477354,35.66039418058513,32.4795737225327,30.083112764632276,26.664121922417294,26.07832146139946,23.42194348355122,20.21269588061387,23.329110318032622,20.18840045257525,24.718946849025322,26.796501849282187,30.872651073783995,31.71513997166108,35.14658934299869,37.185271034425206,36.665108082577035,34.49061615089983,30.767031286004443,29.97791888192512,29.61770844538789,29.444393517602656,31.62755683439369,35.35991703235251,38.98168593451222,36.6292756921456,33.987951290039994,36.57438328513235,33.6433139166866,30.80540008756406,28.31721615080001,26.91084202220607,22.72531132156963,22.42382537834936,19.528442825389064,22.37977862345565,19.069542864813023,21.529022478385134,24.166119603223745,24.283225078120555,25.50266412213025,27.86124297753241,28.620171865120476,30.943553895980138,33.87372262013231,33.94939129800956,37.948232955207295,39.26543455411446,38.20309999323771,39.83798965526731,42.34378922211939,39.21293065447497,36.27499997256121,35.563357436557716,33.77929286491307,36.24520292438722,36.04894740462319,36.24761705943133,35.68810969879028,34.01438527874086,38.33550026250781,39.62475631069896,39.77248371893651,40.08651550105881,35.299920586004184,40.3573172873507,43.5247347929389,41.61777569281196,45.50811019001581,44.93861768944444,49.44231053066648,49.286609342632524,48.98638083279031,48.99150664796643,45.287641461855934,43.94636123183052,41.32370034478183,41.10018803708606,40.91834544257434,36.122041588963924,36.04236904455786,32.9173632229549,30.203740556649844,31.40940174217714,28.40058183731626,25.89725992577566,27.183078233090153,27.44307505865056,22.781619427143546,22.619979586467082,24.845948705063613,23.442426670665533,18.613605474289386,20.41461369915386,21.40511076363674,17.01615432140191,16.26850165498699,20.336934045559193,22.100306057209952,24.75906044774831,28.715934483170187,28.026854099400257,29.40104926536924,34.651866271120205,37.045992271590926,39.29461344403936,38.24049007409646,38.63473491900304,40.44429821001128,37.88676234231302,42.83336151537624,42.23037957258037,37.36419269640083,40.268131805642575,44.472793370638925,41.30233788907575,39.28905890820077,42.70432652322258,43.57281969863239,39.28997494591325,38.96212167271372,34.8040097637548,35.82633254971268,37.83735996926505,35.26411061967428,36.156484302914166,36.68780682927739,34.279715539851516,31.993486967241786,31.666631667333075,30.62331633017017,27.206957507740057,26.33010608598457,25.95311732776216,23.021875602591443,21.583195469036877,25.5942799625572,23.967598089423486,19.360706453792083,22.627247147450422,26.315011605504385,27.084684367754427,30.264331732947788,30.4143371098355,34.62815940082992,32.77329894573075,28.651533469155005,33.1882824836886,34.84343865414109,31.97781463774618,32.11793265128287,37.79828657966747,36.91905708023094,32.74695253320111,35.81884335757092,40.159622397672415,38.24978461781684,35.31437218189065,31.079567453991622,35.47950665189845,32.05926949156851,30.433681290645872,25.94230042612326,24.42921816840171,19.765537473435476,22.27890314737046,24.56252635459815,28.4297749781515,28.940564828132377,28.458086116150238,25.1342290100392,27.499072533961268,23.820959816764603,20.605964984757307,21.79892541393358,21.222233688119495,20.481637910182872,17.863277378079736,16.148868810242327,15.041274636675826,14.551403081569935,11.497414312059217,10.980573060979292,10.652950306124872,12.248596658265164,14.643590633863315,16.672380814051873],[12.984416646370022,14.99494110605602,18.548015878531363,17.272721879605577,22.113043572841903,16.540443342863533,19.173876603436483,20.407739008994046,18.306341437808943,21.86654642012599,22.561387670557792,23.519506651552714,26.72299520163767,25.223831367945227,28.969811546138917,30.91542382564405,31.550910597278698,35.80443028757885,39.37157805675691,41.708390189791245,45.2884433565341,49.22033420546162,50.47957624504658,50.510891731161855,47.30094404577717,43.32032659476308,41.14192218719519,36.82738697777454,36.186885795062594,34.50543134447433,36.060931580317025,34.94072670605956,37.001346946837806,41.448626219599284,40.39112870873079,40.03018857410191,38.8936416423244,41.46410250486033,42.03031979461302,47.78273929079811,46.26319011434721,46.66450682326061,50.77871129955577,51.54373695070549,54.07753845959281,53.66657152852877,57.778434173062394,56.139352131974235,51.736978284515544,56.43254931794793,57.89312877382551,54.68297123969303,57.863180760772785,52.312598696183116,56.72613880213295,59.422876637282116,55.66532572933694,53.76249925435641,58.51465138394688,59.272757716461804,54.73925726025045,54.6934347526815,51.78107940784841,54.20304963319877,52.9680983379802,48.72662402835885,45.75242951956929,42.09144876026967,39.80713344578245,36.26417470950569,36.096432143112864,37.86860997563675,38.983657758697504,43.41822944658034,41.85940745615937,47.547698019989895,47.423060064357905,49.0315846582783,48.70949659549823,50.91218539494959,48.576909458959854,49.28949355095265,45.488615855731204,47.04362824957023,45.45564265581236,43.323189928848905,45.23791833054402,44.13941525131622,44.36066970743353,45.52812297722385,43.24154894930969,45.29110598206709,41.260256980917646,38.42921534574349,34.103055893795684,33.064456635496,29.21926582810367,31.555273265592515,28.774056370162157,28.35373838702431,32.78814005776676,31.7779417251483,35.53798605520941,33.78580688010619,38.422511805303124,33.98234506491516,36.17662061412144,36.57237557791297,32.5045915504966,31.236669280582912,27.03897383146907,28.628124455677217,24.83932244530295,27.55205525303207,27.270822879972595,29.12500258764268,32.21857821739117,34.078633294267384,37.29106630734826,34.19461301449931,31.61862430028916,28.369420974394053,27.857426880134305,25.5460878022552,22.715132319163512,26.214904535622075,23.60530286792452,28.12226966532432,30.382971827753224,34.498327707033944,35.30125321674712,38.85811755865158,40.74539337639094,40.29860499604639,37.91377829734918,34.046053792334575,33.182320560891114,32.53534216390205,32.00364944035045,34.20487668017746,37.53682279030282,41.18582374776755,38.78298153109948,36.36838435862708,39.10680927771855,36.219772290365576,33.423506099697555,31.094130454006823,30.00407340087796,25.791776890566478,25.853622479903287,22.694505032073025,25.649966695255763,21.92097038029508,24.106989990237405,27.039948945515267,27.129792698269526,28.73807426295473,30.815400206381803,31.976960565668584,34.155180920778186,36.784308855479836,36.792690067788136,40.87661987198342,42.25438560506323,40.99702319736433,42.91386761207539,45.30577634960839,42.24897871684133,39.169738371915706,38.66527108530745,36.77908942331397,39.40782527212957,39.28872155723693,39.44446838908501,38.982560503136725,37.04655996466622,41.51135266624945,42.797780108463954,43.128696355951526,43.391070585662646,38.79403899391605,43.8834442996803,47.0165539175011,44.97175801025627,48.70572019094214,47.92939796220535,52.493669835409186,52.10030737817659,52.045700856143156,52.09223375517529,48.46910330993977,47.23042233514782,44.692449457029774,44.58960616644307,44.46581754504089,39.63812612843879,39.700436451330624,36.545902753857945,33.9744212827948,35.18186961440633,32.273882305156725,29.71811619753164,30.828776188941536,31.15506848054866,26.55162244027196,26.05879152202756,28.282028168967237,27.011593280818584,22.08781552564395,23.56382831417402,24.480673920546337,20.234276831484845,19.118513259793392,22.83933392029106,24.74240352794612,27.389619182384937,31.34178389445902,31.032388381151634,32.37143278299711,37.719923957607826,39.86080091224665,42.422079795548854,41.57623146657136,42.144728764381036,44.079895569870374,41.6482648814627,46.59152550136926,45.846754051619556,41.035604305752,44.04898143939456,48.15328632094236,44.888875069231034,42.95929527955962,46.39780628596248,47.07620279740999,42.7387142088196,42.527737989896444,38.420187398752205,39.64325526100661,41.68516634869383,39.11000691517331,40.06158697360535,40.52951890413123,38.181844746792606,35.90604085679346,35.46870383478563,34.42856123527334,31.105659781257273,30.147893226158462,29.632649279639892,26.6967727880056,25.27431902938401,29.07919326833093,27.288557527067052,22.673922309547265,25.82891446758624,29.4207038080118,30.332703706646136,33.67971609557891,34.05244499130682,38.20194635429664,36.11338450256935,32.11897668632457,36.784259834050744,38.22942498094023,35.26252479177736,35.584120461285735,41.22194921932017,40.063310233965844,35.8972883224366,39.1519474591078,43.362046232767185,41.19544423704732,38.234758611128505,33.89287945718849,38.02221452820978,34.35300589977018,32.79279772365757,28.350564128796133,27.31267948155731,22.686081491700133,24.696300962279825,27.26941511595087,31.07653201715268,31.887756652693557,31.731380345527132,28.542631583587244,31.115984519286553,27.359860537874344,24.30581958160134,25.704895436135697,25.150521549729078,24.382060847555575,21.73788582130822,20.03689945618903,18.921950654744798,18.3685672605341,15.331783535036603,14.782713999656279,14.290272772433465,15.797105133033757,17.839223097939584,19.667333156101908],[15.603564395685597,16.78473322191832,19.5882543053458,17.173979602184854,21.571115143299426,15.826879263797979,17.581158074925945,18.8844095152415,15.882083999492533,18.810818069855213,19.225982198517173,20.67403510281282,23.702078561448342,21.65512014194907,25.38196898816923,27.604922686859627,28.164204702225916,32.22250309171554,35.63380195667703,38.21753043130919,41.6523740423428,45.733258803718314,46.85736754150056,46.96851489294593,43.904567553873115,39.80593642010808,37.869103150002275,33.5520387931118,32.927905046662985,31.48236049853853,32.586816903152936,32.01261834271939,34.02558373071783,38.28405201475857,37.34399106467461,36.80323539113961,36.09237724491896,38.45428340515911,39.16822415166701,45.136405850050416,43.383916770386094,43.46381604459471,47.63887315686044,48.49980125396159,50.92307786656288,50.6513756578648,54.77754356154537,53.18428584525656,48.994229369678344,53.85839640967072,55.37146444336786,52.054886803061336,55.17335952451018,49.617461375400076,54.083143114095115,56.52686266222281,52.6471535928739,50.76998580217581,55.43535592232535,56.07217481135928,51.388803873748294,51.22938928471345,48.29885731667762,50.4950774153117,49.3612130238116,45.23008439344074,41.95389714317365,38.36043225231523,35.842919624845536,32.284760754468614,31.98158028058664,33.595892978091086,34.86444291879646,39.3608184509522,38.029748679709925,43.75388393754441,43.84901142460458,45.592354343533934,45.43984307324151,47.74955375845291,45.71826960892031,46.645999824432195,43.14967554848369,44.86251450153977,43.12979661861377,40.75452811281887,42.31176852015919,41.3640977262625,41.13047807254733,42.33529800960516,39.76988722880286,41.64795089685097,37.64540174721004,35.002453317294766,30.66007945207819,29.498492650349977,25.615510461856243,28.52180382694869,26.049433943041663,26.370160889157773,30.47913897759012,30.217965392846555,33.55118491586274,32.42983841780363,37.18261648160322,32.958902845155066,35.66189129113861,36.13874670182522,32.276150357158734,30.807578557692775,26.460002616514466,27.250140507220703,23.060320643522164,25.38083209238197,24.403335116242886,26.175569313106287,28.94466077149963,30.792248085474096,33.61028770172752,30.517158158800544,27.87335450427371,24.769000029173338,24.528616549159242,22.536858966283337,20.136078028671157,24.22948931384984,22.448920102360788,26.905981199426858,29.589113197169954,33.54203948340302,34.68009675923182,38.40827295513468,39.86234292939759,39.3003430772435,36.664774173724545,32.53218505367749,32.06982116533156,30.757427530363984,29.790901875792745,31.726890974197612,34.7530394006553,38.22790402276552,35.62563906952248,33.44496131758845,36.22171430941538,33.338256032864436,30.652663645742095,28.492920164796224,27.871594399825995,23.705448692374155,24.499591574338538,21.200961407302753,24.761914826101485,21.279627163737832,22.620758670249533,25.423011205346555,25.052067896501878,27.139141143060865,28.598121776879125,30.307555783592708,32.19330746025953,34.30187471819815,34.34116018010532,38.43836961517699,40.04586247518139,38.8222930049278,41.12269708125993,43.581596957392804,40.83620695298883,37.4730035726641,37.091411296081574,34.855056930771966,37.47200861618271,37.35612352364078,37.381788580995774,37.12449356220645,34.80433972101301,39.54147945908021,40.68591595933364,41.350551542730685,41.512645086147124,37.330863802555186,42.51658611160942,45.61067239271645,43.31465955908215,46.670990453500444,45.526685302155826,50.214975878779796,49.632883789143534,49.95670152706649,50.2244417241159,46.634442787516264,45.77047724692673,43.48393942132443,43.696748177914536,43.95717012430138,39.19501524469532,39.66138544167957,36.8529684677562,34.21440861934225,36.05115203913719,33.12958786839602,30.25053667033892,31.82977361833128,32.6104236130988,27.859133685939987,27.216359867080367,30.038260677990145,29.115519433063266,23.97562159145643,25.717310887777057,27.135146898476616,22.86484613170236,21.579840716118742,25.711007496757983,27.15353430724233,30.382298752433844,33.65414049325123,33.29137798965543,35.01116192895206,40.2623562328031,42.827054843543735,45.01972931241746,44.06261452479841,44.267971075917664,46.01116085176576,43.238438245462014,48.102197404342526,47.58225728106638,42.42799698081829,45.211347782708266,49.43639705753829,46.11252054749987,43.86027036948855,47.04252315707343,47.95671885924403,43.67046649798907,42.82600296053863,39.12215653362408,40.0636026094202,42.40704736644454,40.239945850970194,41.07654655411995,41.92668794242531,39.14147293093219,36.880241301972895,37.08427173337143,35.86347955538539,32.1953386718247,31.728248448474723,31.606388817478265,28.63334766320793,27.297159414293336,31.530278672801977,29.972767564773086,25.41060653942875,28.69565387674599,32.42745052726372,33.074308880409006,36.19758984828831,36.10498518749432,40.35438108038419,38.6252173382855,34.240674985440634,38.61829492817249,40.35539116341087,37.40794653334315,37.16848996241324,42.973906055422304,42.07930335884085,37.56098388841359,40.453000217139945,44.9751459433953,42.94853532493179,39.74899322531049,35.30291915016304,39.55484440674552,35.79836850517898,34.77426914487895,29.943699133168277,28.923598558546093,24.14325223672669,25.838523799033048,28.160844316675693,31.94074850941535,32.48704371370944,32.61491130730739,28.819976450543667,31.249200789740733,26.98321207847856,24.65232524239052,26.07117196031163,26.083305383234222,24.76906817691075,21.901847516466926,21.21964965448596,20.04488188114211,18.26695607598254,16.144999170722635,16.59008936363783,15.692424048052484,16.937680927413194,19.15343822277536,21.03106583908055],[13.788376449602916,14.393946785980779,16.76050801825782,14.069861527561553,18.336491861209947,12.714030904135427,14.540734946881969,16.240373679698802,13.513126150166114,16.508439002431096,17.44902794209302,19.073906438163753,21.58766471431646,19.72481091599416,23.798506229431844,25.80918836084238,26.0344661310523,30.276229128305236,33.644058874882475,36.083557391187576,39.57474857142413,43.54848521027167,44.706099951578004,44.68418231044102,41.52624915867961,37.509993526697706,35.44516330009219,31.14333650314055,30.706830570499786,29.352403476687854,31.020753156690756,30.26121683415999,32.62836700948542,36.86418043096074,35.58966865910616,34.863004787434846,33.967953190466396,36.11270323335261,36.62952165834163,42.55531486824138,40.745296383204746,41.058588404459016,45.24681712213246,45.94868432976766,48.37529552806307,47.97394219469494,52.10415082226552,50.55185422651695,46.22858500181903,50.99779729144198,52.5673839003057,49.338366144416206,52.5799513445168,47.03865019337248,51.64069100655486,54.110910153452046,50.23208770130149,48.51011717125242,53.24847592680882,53.779339256188585,49.2119627685882,49.29842055068314,46.51053736073756,48.74837578117906,47.39397901686698,43.23471062650124,40.14676062223809,36.6141905446614,34.196549847167674,30.821478453409668,30.53857479016041,32.46739085276067,33.69258669223694,37.99631350085685,36.60366334537927,42.448265615764214,42.18841611510673,44.081237855994594,43.65710486533615,45.73810935247149,43.63590531200418,44.2960874771902,40.81789007700763,42.31968149436992,40.4653693928307,38.29622790571039,40.02540535654378,39.29211222647227,39.17100332541143,40.72432285052034,38.27385675633717,40.46661368078914,36.53004998839426,33.91308664278081,29.41148529240154,28.639504534818467,24.560253073251406,27.25685540674421,24.615879227999564,25.100914091833808,28.766069123203042,28.257185172158792,31.382381662803354,30.02306804774995,34.562553640189634,30.164863940151804,32.87601032767619,33.17394266282521,29.278045454707158,27.961125581504792,23.495823078230373,24.27951367289833,20.149210254520487,22.41075036100786,21.747461161574257,23.44136438734119,26.451996698707877,28.24256541767414,31.423782631850585,28.42542266038093,25.77192094460844,22.548222908307253,21.99988404526982,19.79879137130599,17.209051381246027,21.10424626135999,19.309273846567415,23.7437754215881,26.438066580305062,30.475926087940667,31.48847323718928,35.278441023188094,36.68194879847504,36.240569272026505,33.49387868039773,29.373630008220722,28.816371842793053,27.576212480062633,26.714421701115757,28.74552881828986,31.91452350665007,35.47420167430144,33.002445095846305,30.695125703574753,33.52107369717735,30.730641402372306,27.936602042447195,25.864239784527687,25.155502022334833,21.093483678890227,21.945865897188998,19.063205161432567,22.897981065550105,20.055340898502063,21.382960989074377,23.745107812741836,23.074494033469325,24.87247821219051,26.308297001337625,27.641154315754275,29.31605190290922,31.643611034287737,31.453504324720562,35.62138638335935,37.05273395727894,35.74806333696153,37.9702071174754,40.40096688004863,37.60773474920415,34.283358639307245,33.8888050130931,31.72917708136009,34.43305630727841,34.4259058815074,34.61788160525597,34.49919934069635,32.372199508960925,37.167062213587904,38.084646047365034,38.68591997482649,38.63357262496265,34.43342359386764,39.51345109228502,42.55830587003766,40.2608594317869,43.72491128127185,42.7209507800905,47.314093372967626,46.70435066720629,46.91745498906576,47.1026226852359,43.53459025812102,42.58260208635261,40.27026457541771,40.47734087315784,40.73447287667044,35.96854818703582,36.50095822176503,33.73779642403453,31.15830355842315,33.14268765038735,30.329425373389267,27.303069371364227,28.923687431766545,29.930903194462903,25.172389996997193,24.360169672286375,27.427634878509895,26.800885691069627,21.50536212901528,23.34204163237565,25.070141451187556,20.880350188024806,19.464055078321362,23.83690422829695,24.964319399636718,28.52449780209134,31.36760676174826,30.914502483030912,32.85615102814611,38.016613319221946,40.86792234464942,42.807904867494166,41.84393658522272,41.85110099137002,43.55395249944598,40.67601089263155,45.46614824962082,44.95860017688986,39.659538491783756,42.40435402415083,46.60693486273952,43.230359822443184,40.893107497786325,44.00700229968596,44.94317194126647,40.675733608677575,39.686326288174065,36.09012200020564,37.05940197872501,39.50249746123688,37.50675349523769,38.45121468970242,39.54829429186446,36.69617764592587,34.25178754094138,34.75679562699909,33.69012612101105,29.794739067353515,29.343489624078778,29.59457506200243,26.712453040464208,25.15746836843231,29.609317404432996,28.370421200980065,23.80256328784417,26.92902044591277,30.772170314602203,31.127074346925482,34.14703131660335,33.81135112376697,38.050706030060276,36.45655504653045,31.835578718469105,36.06682433578298,37.892052824382425,34.94766485396611,34.43989943339243,40.29889291606922,39.52436089636735,34.86231612499167,37.58924435982132,42.2267993243818,40.30008929399185,37.02292483048543,32.58138064134179,36.9469061207735,33.26406653150047,32.41654852364999,27.43999101631885,26.293060117557243,21.481459226305272,23.19486889247822,25.32738503952926,29.105533932359883,29.489929652512707,29.64100268046931,25.693157817743575,28.115215887147283,23.788096372175605,21.618903124769684,23.257291094584346,23.541184200070973,22.304883119768615,19.068922842303746,18.68694523511473,17.876062084475343,15.650428986919037,13.453983916919428,14.575867165096534,14.11406626268255,15.358256375669185,17.935915705006984,20.0176266672497],[17.02387133768651,16.98090458671593,18.68849617499778,14.824550159538925,18.58660795811441,13.58097629871205,14.324551678168262,16.420846167843276,12.877123626847466,14.645579451064306,15.49724762727811,17.986341764781905,19.79656270599694,17.101059144208214,21.35688877873957,23.679191556617088,23.484168099184227,27.480809462305455,30.441265015834876,33.24253043130838,36.478981067933276,40.626582285437266,41.52695436546221,41.46887090479198,38.52500379790593,34.37546226958424,32.679239094136435,28.426176894950956,28.25510501223906,27.396844275834667,28.693238742050934,28.682829472621894,31.119802266085177,35.028757050001346,33.768965019250466,32.66019066031264,32.29460569656772,33.926181166080774,34.47646048517893,40.653322256713025,38.40129565835659,38.436500035627795,42.731212592700224,43.400220363003,45.595164891668176,45.22692992632266,49.39050325265616,48.02824820224425,43.893201631415835,48.766533912489116,50.5244099135097,47.26556938342461,50.542752127016165,45.03724380023463,49.82201512357665,51.93232788219789,47.87722962944293,46.344074819052885,50.99057827588504,51.23261759476111,46.53740826159458,46.636760563540655,43.92991711435065,45.79818075573003,44.45456282458776,40.486341744970005,36.99457027986385,33.66438931812167,30.84115015792106,27.608438895247048,27.007957383291334,28.77678924597533,30.366881062955333,34.65935567887043,33.69435100486353,39.64355347064222,39.555366635855414,41.74054537399488,41.42882643214114,43.51484458097057,41.82368350164747,42.591500975808955,39.56478579406066,41.10303548709876,38.96000448254643,36.65776500862053,37.9898407717995,37.6372543293476,36.91723712236606,38.72435096045985,35.927418883731,37.98171317306025,34.147778330335676,31.861343877396312,27.322059974559174,26.52983030703211,22.375008099209214,25.816521981940575,23.597783942324718,25.06913453533226,28.070076481324442,28.346443191179414,30.799368478572525,30.05449446097181,34.49102871027203,30.26923722774569,33.44294436799853,33.63808339094321,29.96086083612351,28.657433283299458,24.0610878502091,23.95238061833026,19.528707769886537,21.034452566833224,19.633625461177203,20.93703956644253,23.624705843197543,25.139600481490007,28.01515248476024,25.249373164548192,22.374081445225716,19.394002082368594,18.84638534710921,17.15891446241632,15.307826488691008,19.72207896774696,19.192821358245297,23.336545499046572,26.441244013364244,30.349577226530453,31.461325633804343,35.466567712809216,36.336316472808356,35.97937767253214,32.80321027683262,28.44226088617521,28.087155089525304,26.13179965966557,24.68679391978382,26.540982862092065,29.156613396526257,32.62394268335872,30.087844712993622,28.106406367932383,31.11644664420832,28.514591888271365,25.79962242539167,24.17697972137479,24.098600357370948,20.323567323540132,22.10866658237391,19.452899637463073,23.89422534846819,21.618028659379718,22.045721449491058,24.02091939647536,22.686247488285073,24.843014570918626,25.460173582119662,27.173883020654255,28.226044497228045,30.013845641477033,29.556228035992596,33.814434059140204,35.29934745731016,33.793763003863994,36.480679608622644,38.81634434492282,36.34139432113157,32.74354276884845,32.62205252516071,30.18759087893982,33.05781768318943,33.22698790626309,33.43497765311367,33.709484986141085,31.27371588675932,36.38977631763553,36.94824527609645,37.90687581636537,37.519555570617804,33.86894246852841,38.87184913116691,41.77101946503198,39.180392880159545,42.26324852673718,40.9225267673085,45.53442554447656,44.53993206827603,45.17248268261115,45.497575595446165,42.07977467603692,41.4527410202784,39.42194003520116,39.976895966850755,40.583597209153105,35.912834064906704,36.92312532529033,34.492425281032574,32.067082735307416,34.60737804366992,31.996265909611257,28.646797877810382,30.4809780142786,32.015818292313284,27.291394412249762,26.04996812858225,29.643725795846894,29.567270493656405,24.08642830484587,25.917119767028794,28.10410150579872,24.120613067956658,22.356210861291597,26.835374522024367,27.499059086974633,31.606858301310467,33.6273914280345,33.316955403965906,35.637366359202545,40.6694511189921,43.849821354458285,45.525884201807045,44.62157195197837,44.33161799577556,45.937480161502435,42.84172924751106,47.46886840146341,47.04036480516556,41.461098824312224,44.05265523098485,48.215559761040595,44.71616307181759,42.1500271830922,44.99535737328378,45.98330575843694,41.777323243251246,40.27390444448576,37.167360480119484,38.0785217467027,40.82244756589333,39.29396140866132,40.27632583323811,41.794970968187855,38.65224009395844,36.105411313937154,37.22258633801407,36.17156075929802,31.978912128069904,31.82586574197258,32.531381677496306,29.732789552707775,28.105683156928528,32.7984062390962,31.85295580280894,27.36035228788143,30.35085571736195,34.26723970488072,34.321600104735445,37.191958221610896,36.503403808310544,40.71788375120222,39.33726930741353,34.40268577846386,38.35074362046641,40.29144339966369,37.32996753289532,36.339055421807075,42.26140382239981,41.594158354982504,36.62437998098858,39.03604441741162,43.854267390523574,41.95879902355087,38.46567428165883,33.94782900025019,38.241819361134546,34.44231424344586,34.195599161172694,28.956172148337778,28.06358541238038,23.297241003080263,24.4034611817598,26.315844404705036,29.922975473233556,30.169219434834915,30.78269909870726,26.448206238318924,28.8351920460886,24.137259131368605,22.858774488147752,24.774701790979304,25.671778226537345,24.151659971016173,20.58515232301353,21.131307689249986,20.581004882456067,17.33594429545572,15.845413947181445,17.86455350048454,17.418425349274642,18.418684575374822,21.027035975770332,23.09841737561933],[17.985647622598638,17.504460525908666,18.994673237824774,14.293186200304017,18.107958980495667,14.351101216631395,14.862626399347688,17.751362449645708,14.388851809671594,15.25282821090417,16.563947888449864,19.681064016626124,20.452003944361124,17.304804128256297,21.92277878211716,24.26496651949557,23.308687599557004,27.177437971598376,29.535773485170473,32.57111542942038,35.53313052689347,39.7199358347013,40.32551348847437,39.99730988543022,37.226519316167355,33.05801539514416,31.667067405908863,27.55511879765904,27.966994428232365,27.698381681756107,29.20354105129417,29.632683493916964,32.36173233680825,35.963403870201425,34.45658249640179,32.869095149393246,32.74800365656828,33.658754538875506,33.94435398557677,40.23250354061141,37.458737284085274,37.57840765226926,41.979825192267,42.349294234494586,44.24400328751676,43.63915608029879,47.84457032630139,46.831080030948634,42.665774451864124,47.41945660706036,49.510637448081965,46.409782186962744,49.91536874347926,44.49892925830177,49.61268167647412,51.43223758486727,47.229105615702686,46.092685260317204,50.717027068679364,50.5394465096683,45.88645020690313,46.285704850520915,43.8246277412338,45.33247159520643,43.77605459424072,40.01901609026995,36.30044893576482,33.31169170946866,30.126386054851142,27.304007477185397,26.306724084449012,28.065522391282215,30.109331235845,34.18024939977798,33.67637023940192,39.76191447202138,39.55570040016328,42.120466746654444,41.6740246178983,43.51915659984716,42.11015671226504,42.644229412754974,39.99687806849884,41.27050282767306,38.75336872756672,36.674921708411844,37.888801647672686,38.095311914727624,37.00927445430319,39.33744189823994,36.37339694354567,38.51201427401397,34.858344341210106,32.897648597094225,28.301816136694423,27.74757423960226,23.518647792000145,27.294644968217494,25.27683332666676,27.330795053853013,29.620426013179394,30.052235990233157,31.933359391324963,31.22372721545332,35.25660059718013,30.89535922491141,34.171616665649566,33.96199334471248,30.292668159431493,29.387972212710103,24.625261524851854,24.181966571265498,19.856714629857024,20.609542985779967,19.203796249484473,19.795587524554822,22.52464210093287,23.395873732070523,26.504940544346013,24.31944906559824,21.13765445788998,18.42403296640544,17.15119742864057,15.866749612927787,14.613307593310667,18.81235790695116,19.232289055103887,23.009542778475346,26.249301310327883,30.29918550744697,30.974294249432578,35.216761849897395,35.73303493844473,35.806043929240744,32.101180985137454,27.675666164438606,26.919870166676542,24.71286448786748,22.876341172245812,24.959785286292103,26.997712343470734,30.662774066272203,28.45476122072122,26.686524667045205,30.041960547621198,27.875322326665096,25.080270760955695,24.091638089563542,24.361338453777456,21.04704281593105,23.325854241383148,21.333354263575636,26.089459843087617,24.473782946604253,24.657556419811105,26.13696055582288,24.284994539298282,26.258298324133076,26.411797651738365,27.805431533296314,28.086604701945824,29.820598071888845,28.660067937326676,33.1219602652351,34.22247408270721,32.15646208827916,35.11612699911673,37.109419073526915,34.69448494072546,31.020063959454994,31.26750269028052,28.928513924228067,32.24574192884448,32.824599916975316,33.362928159863834,34.11180731579592,31.784473763697267,37.10259450420348,37.12631259104007,38.20573127993796,37.23798306266872,33.938134982333466,38.61617184207547,41.284313609538046,38.51300200781318,41.53351576977437,40.19936800735036,44.597281368118566,43.10901386119104,43.90817105715531,44.092172532015184,40.93556471281921,40.27319618569951,38.35692058081843,39.08370299105124,39.74628579049144,35.0943360892746,36.44183652982323,34.08051983383458,32.074381846457264,34.811430212206474,32.62382555831536,29.009536143549532,30.56275315903898,32.57839578243549,28.022483659127364,26.027207035189885,29.96535769206658,30.60069340433544,24.827018689084237,26.35391217527945,28.946129120741936,25.32738776876397,22.972860587587306,27.34841299918281,27.591428009437116,32.22550572194307,33.38314331967685,33.420311929344614,36.088063879522,41.03200406312895,44.40686700647505,46.00586629346851,45.38926551531999,44.965363994694954,46.67263088642968,43.59067448867607,48.0325783414681,47.409458670697795,41.67457250742912,44.34322649956031,48.26152329920216,44.53873222646216,41.96549269349463,44.68512418918705,45.39406363211774,41.18634780661903,39.60462077517069,36.83821490747088,38.13797934618918,41.078449825787395,39.88637072638053,41.1832935991454,43.06040178758542,39.94777678272972,37.065762966846016,38.53922500924445,37.82862152995787,33.41081458279544,33.1019764144068,34.27442112232691,31.655707511090586,29.642938165797204,34.39813819967433,33.810455962709426,29.29192544544366,31.84965633713212,35.829223297070236,35.53711548105046,38.431924111285745,37.61700020071582,41.68884904022727,40.23579469068921,35.07551561757085,38.89660307285069,40.681447654308656,37.609459393435685,36.375151723279686,42.2723763787804,41.439793742205254,36.249758184334134,38.56771007398665,43.36809806499289,41.31444159163466,37.664679325804904,33.069433015698536,37.1185732421931,33.16182727424065,33.41109830388719,28.052083367057172,27.614016467139216,23.00515813843263,23.36844343430992,25.238509872069923,28.628122913654686,28.99624992651365,30.15407862479533,25.876116672030474,28.52262062564582,23.806595270108733,23.088901186443263,25.683149437259264,27.00052102204477,25.75581595495334,21.632330654006832,22.480762258861198,22.588675681839796,18.99118250216224,17.195953648920366,19.867566918861563,20.05305886762987,21.061794544041195,23.792586809330086,25.958868149565784],[20.564950754710335,19.42256177704951,19.795782593956183,14.774360780507209,17.133559942237184,13.87294861387298,13.08693061435229,15.935445913186705,12.315069087523337,11.914801030220323,13.369891752882234,17.022052981393866,16.8816616681637,13.385637210302995,18.157447752896488,20.470429545545187,19.11345545953775,22.875250431122698,25.074320803100743,28.151174989086297,31.056844725160772,35.254886012328384,35.836270559320454,35.53581539632669,32.77542285992736,28.583694715407194,27.26466041119507,23.182306964963427,23.72003430788437,23.76276291339183,25.304851120111312,26.06025849368801,28.968092120709102,32.29567071782318,30.639492644309883,28.781332081933854,28.89538535695226,29.461575136279293,29.761649368760235,36.13137888710477,33.21247564421899,33.19132801967688,37.610024383087556,38.00385707236592,39.86803631206191,39.36440714904394,43.55933409637123,42.51963204237642,38.48446116927604,43.33673896852067,45.41157515031649,42.25539495377658,45.71956284725149,40.33168261048572,45.492880862827874,47.15103709957105,42.897278975549035,41.84026028117061,46.42026813288516,46.13884260022225,41.4662992453308,41.92051364364646,39.54667217595277,40.957057118521014,39.33448740553701,35.629523021132464,31.886378984873257,28.988768221092233,25.775586062797895,23.123011803511865,22.082919436724115,24.06232158924815,26.082348445068767,29.975891180336316,29.54490153335161,35.690115901999874,35.34110166316142,38.08189134927985,37.55525942744968,39.30652900815026,38.0852777279514,38.62232428059953,36.26428314487107,37.539672822178225,34.88735245867079,32.732981354576545,33.73798759146378,34.19836564275552,32.84541773621706,35.43133384907161,32.3966684934963,34.65194366379298,31.13767411523486,29.391801310714353,24.771468417747624,24.528192243849375,20.260607310800424,24.17907534130317,22.422302069976965,25.186756176362664,26.671301138317503,27.586139492605863,28.832020801003704,28.58799515176027,32.45873659691523,28.391745213828933,32.02868965996812,31.86911885651277,28.56822697269741,27.530927161490872,22.886460205635945,21.592171180191862,17.180487363581484,17.311508589258022,15.30408591017048,15.704314267299168,18.168743452238648,19.076510232786116,22.0310377968847,19.859168894052775,16.650224347024206,13.98907768600254,12.833458503629739,11.835262564535663,11.247485741450024,15.828303223464703,17.278861039509824,20.63434293376814,24.14404496237536,27.814089426588048,28.852204914875138,33.08664173828045,33.1745401164655,33.09344027151858,29.283734340288948,24.742422866251864,24.560581587750853,21.72113445609414,19.56118013455363,21.230478469688613,23.144084998040572,26.570696698678677,24.161310225226426,22.52078323149099,25.84517008056797,23.731059127028644,21.045432183742093,20.328282105824336,21.060090379954023,18.12440924979784,21.095233107930287,19.490799288731782,24.56370599283742,23.741619497858004,23.19370845677139,24.082273985346426,21.67070329774232,23.755510722199226,23.239776045864915,24.860163725524682,24.710577375538833,25.981455211133326,24.799678068212316,29.202815449715878,30.483090987203127,28.592403120825562,31.79504301088853,33.927152717915774,31.870420454837575,28.00448701401697,28.25824252702048,25.591352028602046,28.75925505479754,29.326233991683864,29.78314545663247,30.768630810289793,28.26092380337126,33.721458347969055,33.4953456535406,34.81788900642038,33.70821168601811,30.857196019522995,35.49455795856099,38.08413338398011,35.146827445959964,37.814881692392355,36.2267095453242,40.68175768683148,39.136520614293424,40.18389128815797,40.58414486980775,37.43487280581886,37.13769483238909,35.48331367974773,36.48199297968171,37.52825393373736,33.08517888513344,34.76263815372506,32.879357051008235,30.79874365604299,34.088857134966226,31.931318688747172,28.185854173690743,30.239512425951883,32.56334738444454,28.08697162102932,26.25432143885594,30.52012311166158,31.337188642161706,25.80282400441083,27.62005578256668,30.470101068391795,26.963370537961225,24.86100554903607,29.423044399599807,29.277614714439558,34.09214714420007,34.7574179644996,34.50550569185143,37.37967751831057,42.04402220680504,45.80491232845302,46.8973388968036,46.06502895097217,45.248986573891465,46.668843138776396,43.280283148884024,47.55191015838433,47.23689185195524,41.29530373958734,43.60795459255668,47.62244832772441,43.98861567856764,41.10964718368538,43.490202364960034,44.55413410750739,40.536106427222315,38.26386830548766,35.96790043304911,36.80908423915343,39.9563582953188,39.20309495275676,40.32088857450412,42.54248569381085,39.085876954919925,36.29794587308584,38.38265466834883,37.54183310193198,32.93327955969834,33.12523921137849,34.660957101279436,32.141055093835604,30.29791416512579,35.26611639429948,34.94638296513552,30.682469916596908,33.28565342750637,37.25485820396826,36.72655741823504,39.25578515167059,37.965260803570196,42.03292721208506,41.05787565394004,35.687276686785616,39.047810929389655,41.16456070400259,38.271001002191994,36.477852366877265,42.370909436855165,41.980762593078765,36.64161792990748,38.426641339097046,43.47246111660892,41.77545193142631,38.03746335057939,33.58297729302776,37.79529773987531,34.0718528668001,34.70922580885349,29.232701027078484,28.516467732468527,24.05912220078276,24.428573433959755,25.724224497612852,28.937622936190778,28.79538369709944,29.967441802973273,25.17813726274938,27.378966048999807,22.38555968722381,22.53446483573119,24.892776514603327,26.723442671407028,25.07874312029489,21.0142072965241,22.84943280565777,22.974067321296605,18.558049375480223,17.927436763536893,21.1805108528847,21.15818988336291,21.89409740349758,24.62571212853997,26.742059279718184],[23.236275685602305,21.88164260971453,22.17418817255457,16.648649396034664,18.897487885287205,17.137573511540495,16.23955900360551,19.558996258511286,16.29099820597393,15.00673117922228,16.60813665365486,20.627333391418095,19.489070751560998,15.58853164003244,20.29588853833612,22.6137872004801,20.407503226320532,23.68416714735513,24.88278236570533,28.32233413037644,30.703145930166887,34.945850649293604,35.04635083009021,34.40672688483262,32.01400229385243,27.82485625259245,27.100920505076495,23.36538690858121,24.672864675245002,25.530669875531583,27.02759616780277,28.45584986200919,31.51165935420992,34.35700085305457,32.551341492497166,30.151541916096832,30.707167978805288,30.32950184602523,30.341916901579,36.76869510329009,33.15643563963459,33.11904777557525,37.616790558974735,37.647969097124026,39.03158471860958,38.25905314440197,42.47114228915443,41.938169316659,37.99403793055648,42.673250972861204,45.18284388469124,42.240155115929156,45.92690189454955,40.72747194012162,46.22825184643221,47.42682364652652,43.00038607731195,42.45638680360201,46.91096091029515,46.07115413778735,41.45096465161702,42.21659066443358,40.1656838070835,41.0049155473615,39.19469289045596,35.877277281876566,31.76077333194708,29.418439455702675,25.681302590778856,23.665880335987868,22.032208202307423,23.777190506838952,26.45774977464599,30.003583460893974,30.306300663435863,36.46859646629791,36.11949533017485,39.295135657053166,38.71287302009435,40.20168674385814,39.444792461257705,39.77912163818017,37.99452964468302,38.98959197580172,35.91413930793715,34.007820097880405,34.722753767269886,35.867262026126035,33.956592283997466,37.069761333407406,33.80212380503425,35.988199395652465,32.77223445260082,31.509556060297303,27.016081637608394,26.927006836654673,22.81343848577072,27.104585887793856,25.722556158469665,29.015965447930572,29.808887061438934,30.994441920168704,31.591048900751147,31.509541254965658,34.881895914873255,30.815043298777088,34.51352260006392,33.93027166294188,30.740519116085824,30.14459102404652,25.483775694499553,23.816782966149034,19.73555842951011,18.883014643096356,16.817946931953898,16.114684824751475,18.282430482028637,18.092543846362137,21.065619411058616,19.89410358349541,16.353840918862875,14.453220487407291,12.358101827383779,12.416801515897744,13.04944881805489,16.940521930445723,19.586822062295514,22.288664527734902,25.834804132448756,29.51207489879961,30.033506294017716,34.45599128929712,34.05834372191491,34.48690467986601,30.093106488138908,25.584491858886924,24.954108179472033,21.747459850847186,18.968316738492472,20.802341886844186,21.577312708921696,25.149909392065002,23.229405970807367,22.09133504081911,25.811374231440304,24.38414503995033,21.768426031771703,21.97917093240063,23.20945085297035,20.96903129417784,24.34868659491045,23.35528039051451,28.531413517154967,28.15453472006151,27.405926721934943,27.92183003088555,25.120105672098475,27.039376557409643,25.986472814418686,27.320262315582053,26.242956665566577,27.251860981056968,25.214483214290407,29.73773977582558,30.537325251003562,27.916882342683994,31.53349438543286,33.151298488580984,31.299172572023153,27.357732060690214,28.161692539468213,25.631997495641947,29.294165331587017,30.368721706242262,31.18209992173464,32.73204353482408,30.331669564811666,35.914436885137235,35.06879525813357,36.575413441754904,34.78923212498849,32.51954043010234,36.67195119146412,38.918356812808106,35.76435453108514,38.20790606998658,36.556223792430906,40.69137592081629,38.447974804328496,39.818939411166824,40.079117451452916,37.34295631911446,37.08873095254849,35.66802878860808,36.92233082705664,38.070353781325075,33.75437824784244,35.84954122166418,34.10985203870022,32.56866223655477,36.017360044528324,34.35959779372357,30.418916938544257,32.10410309691863,34.88783694265592,30.674339872208755,28.0868801785807,32.5934404043358,34.10418076047856,28.37691795300446,29.81256219892272,32.9738896193804,29.860532068144654,27.220539975408045,31.538778588275942,31.01606510320719,36.26101947092405,36.04063533763723,36.215962657601644,39.39962264814621,43.9376471387711,47.828316624525314,48.88127841876783,48.384195885364306,47.46012257865535,48.990775110604915,45.66172519921538,49.69454468074111,49.15856297370221,43.116649571874696,45.492811285529704,49.183847486150896,45.32801867052553,42.47823143945208,44.6717969129373,45.387667790852575,41.420325381521295,39.07226537151405,37.24383822640278,38.518475654910524,41.846601241986406,41.47465444933212,42.91128671898212,45.46711993991482,42.08196669173706,38.99615931655341,41.39100886876125,40.88742395227821,36.135664376230274,36.15453176022138,38.07622615568658,35.733964893507014,33.56052657047581,38.49994402840734,38.46993939664902,34.190128146895994,36.38024475205254,40.36678646760006,39.546214483578574,42.110539763983965,40.749512405499054,44.628086356899466,43.5505190568547,38.03280385982149,41.24335100795775,43.143092026150306,40.15302268194732,38.151143377812,43.93142540068505,43.32886620863373,37.819102898103736,39.48502174274092,44.42839050660901,42.54158218576029,38.671278453142584,34.19739919828096,38.00331394145312,34.12982750231704,35.358650325799736,29.877240249291148,29.751644212912204,25.607891724707944,25.085679465190097,26.308968177700027,29.139000584967512,29.171216597902443,31.00319178222077,26.431968950998673,28.868824222000356,24.02391890379228,24.8007822991518,27.77568545647009,29.934852101113666,28.5884889222678,24.150442806040168,26.125103448070497,26.783752881570262,22.29366391931563,21.325690430863656,24.89515528427165,25.338235157077136,26.096104685892712,28.846274115745928,31.00600822029077],[26.95985401731372,25.427068767227244,25.074290936541168,19.76382953174181,20.740918976345778,18.821872346434315,16.79745808740065,19.360692585957775,15.714729877359378,13.09930983812499,14.08597843508232,18.38833837744778,16.640440654054654,12.197296824635089,16.41621670380029,18.89603254617397,16.563881852058156,19.321348359781904,20.32339328586853,24.015418952734183,26.247936894097826,30.644916581264944,30.7044368540539,30.32987926304278,28.059087790459653,23.735158179991398,23.280749095125103,19.607366554426395,20.780662396342766,21.959925541709246,22.78170384168831,24.902557948968116,27.790836346443434,30.240258160970104,28.603138875479804,26.051844329479472,27.16689945874053,26.60279887906857,26.926225083172003,33.45005564468934,29.807405165191405,29.22894291320294,33.70064050560847,34.018034572093676,35.399814522073584,35.00493905463081,39.163047454625726,38.46901494879533,34.91900679760138,39.856322000299656,42.185874359700456,39.043248048270286,42.463985197726046,37.29908022426492,42.63556971680497,43.60685458805371,39.13669182649584,38.47566113342827,42.773589086264664,41.961135072885355,37.17106136222389,37.69300519455079,35.584145474857976,36.260714101958094,34.631006138859085,31.404268226825025,27.023699003916715,24.72378971948938,20.802858826940074,18.815962905259646,17.05100127661346,18.760935835081888,21.492396070833237,25.015842412502284,25.50512328252186,31.628813753217916,31.476712765917153,34.729135712656564,34.340649568224244,35.96809087282152,35.549145014344134,36.218509905023524,34.80177425861939,36.06342509992158,33.016883338327176,30.740284327366815,30.942773506119288,32.15401265171394,29.748029502862398,32.80702290848183,29.316855281409968,31.323691471813884,28.249662858347143,27.29240466550811,22.975858033429645,22.942978957919376,19.052893662689264,23.707276827275884,22.89255695116936,26.908320099110103,27.056108934388632,29.098892095611504,29.100451097165138,29.88074902007686,33.28168694123252,29.853498069441983,33.94512355296448,33.701979560588576,31.03453109768603,30.03150876267766,25.725302094308013,23.16532843064981,19.04483280658363,17.69452503293885,14.471679357271858,13.722623514370214,14.860350072906586,14.916055526476281,16.853542823363714,15.527915677262547,11.99833099042907,10.571887278525253,9.550627050984671,10.606977376845434,12.380786052548448,16.6493762267085,20.06588240540713,22.322449010572193,26.04516614835711,29.04027041161235,30.28081428049414,34.496440201781944,33.6963956044432,33.666238557466805,29.46953272871969,24.922481847577686,25.31852744058455,21.395084378996685,18.3013902021414,19.185225958766672,19.67005500662035,22.55026197681262,20.055738321338247,19.32267301551794,22.75576686445989,21.24346468097298,19.05127211050688,19.457139743349394,21.35316167021706,19.506784860980225,23.48684853170567,22.494492762560117,27.703962903296578,27.716053930948238,26.13722904177939,26.304945309918047,23.16119144615606,25.48084297536177,23.647716573757805,25.708107841849102,24.458448086830497,24.51487455254033,22.926104426315405,27.12118082707515,28.48344179031692,26.442213200996594,30.34910592057432,32.274265475500364,31.008614579277726,26.87678035420624,27.558958288649773,24.5118022337086,27.628933107057087,28.43698448591386,28.856993117084652,30.478837112404744,27.627040604591247,33.252952441506594,32.38726720696011,34.27380900030894,32.65665846459983,30.99449748223522,35.22406173626041,37.443955956764384,34.139716951805234,35.935317024367194,33.75773486568532,38.09706148524317,35.93561710642684,37.75609844644129,38.46489156781258,35.67831094751856,36.063764600112826,35.02676323691365,36.591287395797345,38.228108453321596,34.23867782132236,36.55811843180441,35.36556277340382,33.54982410811419,37.46128966470633,35.618347306084075,31.734787180805405,34.05865014616033,36.863015782397966,32.666368774008006,30.642415136227147,35.229582458906016,36.50887137899088,31.162182776009164,32.97584536755569,36.12146861229283,32.894998993797486,30.7310926722759,35.23997850585149,34.65252684938602,39.775460734242884,39.59850778230646,39.38781175560845,42.561426567880474,46.90368379580021,51.01224203721064,51.66992294124775,50.83138562544827,49.6159046520987,50.80081369933243,47.16648855632771,51.10107438168337,50.99538105424579,44.855984013517265,46.79952254614954,50.69898410465372,47.07029402343896,43.91852137149332,45.77527747838355,47.010161320667414,43.277263543354444,40.2283889411395,38.786517363744345,39.33839374325644,42.76757037438623,42.69955563742566,43.73948858723917,46.43332360534092,42.66609629658457,39.92954917169869,42.73700784013222,41.87497984089932,37.11063556160321,37.744849816708914,39.709972655864064,37.357199133345674,35.60085007552214,40.666915824804356,40.642910727997524,36.607057037781864,39.09133096263833,43.025143892993455,42.215211253478635,44.44295087528378,42.7236812429869,46.664133948670646,46.071490404539034,40.50943177699002,43.34668400450783,45.630682761799186,42.86859748439873,40.488309161212996,46.24239438650927,46.132048683550586,40.6160634745569,41.81624384088941,46.97157389462044,45.48897391408606,41.62610655029626,37.336805596255694,41.3467086446847,37.743724427144144,39.082505404164145,33.58505728737454,33.055731976729014,28.972769701435958,28.783252610660227,29.574663669795108,32.31219802243193,31.84407235957639,33.43926354138035,28.41331328220722,30.218350842717047,25.177681523997194,26.54835109521495,28.849088460667645,31.24979129737103,29.32464790678125,25.382885213341652,28.077694941948984,28.336659631269082,23.369376985706744,23.621372564884517,27.23905085605268,27.107678695203205,27.61451593451361,30.20100646725114,32.19233429759852],[30.70025013389693,29.340528504839718,29.36712081362457,23.822933023309663,25.220757089982293,23.7544330425019,21.989027410206827,24.688596451192417,20.996694887568886,18.312453427066263,18.95400432596872,23.257688956835263,21.439961767341103,16.792262338752334,20.357288722227135,22.99228224126461,20.451251894276595,22.358506971776766,22.29206552232117,26.443220115593153,27.92428727905179,32.40500786233384,31.858422683202765,31.314868885463813,29.68201455374548,25.396323512766724,25.8113102834156,22.658901619081046,24.259178896499755,26.01541082398926,26.11948412408365,29.03046747589948,31.6561402856094,33.62116364475659,32.22793793063165,29.407651255951503,31.130746184864105,29.94114819425124,30.222335719981775,36.694312073848685,32.51506393759717,31.609722670348084,36.03432265743065,36.175832856168334,36.99671279089659,36.51896381645703,40.59296160425174,40.40209444315305,37.221020764253474,42.007566967911394,44.67170158915141,41.68745705809753,45.12745336090349,40.22115082263873,45.66645222411321,46.09935940341949,41.502317513981794,41.20610121109238,45.2175899267629,43.933168977264764,39.115439761060316,39.6504336554217,37.75520476986065,37.70508623469691,36.18648139743138,33.506279981120784,28.532459244343077,26.853992165045188,22.307281085262744,20.878828248227485,18.447428761786476,19.249953650192804,22.821375937039274,26.102409983115017,27.549943451213796,33.42074499797165,33.730158068179655,37.23865516762785,37.125000165675736,38.725185562339234,38.89163710508906,39.65886669897758,38.8012789695262,40.01071924105709,36.74508214544794,34.51000817892967,34.22267004115897,35.843564660625006,32.779055499735364,35.92741052158444,32.100012592508115,33.618233607122235,30.848062734978644,30.40272329463012,26.45757116316354,26.15188407868218,22.680252142725884,27.821261940516816,27.45834543698665,31.731953715619557,31.735483603788005,34.164222744400725,33.87346402364735,34.94151835657282,38.14766718969649,34.82901354408822,38.93656343658722,38.504683406384906,35.88872225701104,35.098634726385775,30.789708538579003,28.140100632279083,24.19140605960326,22.460991214765606,19.191120016170498,17.843753042292096,18.329622264155848,17.41626353783403,18.50228169401354,18.232493764243753,14.745725806111192,14.463576162364541,13.302211640694626,15.171570835861463,17.414034656045807,21.215012112847834,25.035738633478484,27.026883231063323,30.70846288181974,33.6924417609625,34.601012854974016,38.89937759351091,37.786376494242326,38.073415371659685,33.55497990707776,29.110967517736867,29.179751350567706,25.095506653284012,21.600711141353962,22.470111412920637,21.665367548218374,24.341065008802563,22.283207185902025,22.29455098576424,25.835554959796674,24.907513859790853,23.007956280218647,24.000851569842716,26.21934502816639,24.6831124709033,28.76420414879113,27.78913482553654,32.97976206809487,32.821599566772015,31.15129542469327,31.409493893133906,28.237451656617004,30.65611737262748,28.543691286388057,30.665353040908467,28.97321634928496,28.639074549683983,26.63058487935815,30.705968259504992,31.795780636268766,29.255492356339182,33.50801720243864,34.94782372324132,33.958080633087114,29.835674292115133,30.982866234140523,28.07900941942399,31.433949518035817,32.54113729803331,33.09009028637139,35.01834132808418,32.11344797312684,37.72720839435902,36.55471831925641,38.64192947034477,36.66963510177077,35.517703621195054,39.40364113412064,41.34916980212761,37.899602861020675,39.33796921548931,36.97013122123964,41.02802892428532,38.24313644791614,40.50508319677512,41.17646706647647,38.81164382993,39.33536038807652,38.55091808057872,40.31860035707013,42.021766971497144,38.15550170612455,40.72450468419838,39.56941559248911,38.11506075898353,42.01386201285504,40.44159106242391,36.47599130055665,38.47690602987078,41.472562781617384,37.37276168126767,34.872111967573936,39.51757285281628,41.122128609456745,35.55657250756653,37.06804540774572,40.30503730426913,37.20971599380828,34.647278306402754,38.95678500618873,38.302514772293776,43.63693037659976,43.07311877403105,43.273838175512736,46.577055323397204,50.952059518635814,55.00556035060543,55.82842895721974,55.2687849634262,54.10506978553691,55.43402058918682,51.89943548913945,55.73284605906609,55.42281569666102,49.266769823239265,51.32272870338536,54.98824465878961,51.19262737627114,48.128952683685306,49.90585391611633,50.81779135935385,47.09794010130058,44.13100256967775,42.94808864617062,43.856605831037996,47.361374919934796,47.44240528565713,48.68054424988638,51.47765233469876,47.788031029333446,44.905490063645715,47.741767998105885,47.0345606297636,42.24062061423912,42.69620465221075,44.72592357839277,42.38840695110841,40.45429869239718,45.47219806952639,45.462272074077156,41.29588514224409,43.62043079027758,47.58795019195387,46.725782599388936,49.1094550053394,47.4951975249387,51.35061462990294,50.551902000110445,44.95714575017602,47.8535840136706,49.91125112206043,47.024426262962336,44.678148633336335,50.35939524601939,49.96453383384957,44.37393104912308,45.644587106911246,50.64301494921073,48.904221825764175,44.97346315692136,40.631146759931156,44.23604335694493,40.42684449914308,42.101647885908704,36.659426435398395,36.67442658179868,32.73251521710246,31.923636919981035,32.87373281382559,35.360837983804785,35.19713888816391,37.276287721864946,32.543120297222615,34.59691547758156,29.711426247793494,31.222245345880886,33.880000733047666,36.30834464820103,34.54957646638105,30.444003873719694,32.949244870746035,33.362118713415825,28.527661465615193,28.346145082784634,31.910043706763645,31.91561004561508,32.49374625444204,35.047706275822485,37.045642329738925],[34.830852354465726,33.14136018978028,32.404936652738556,27.07843589009358,27.189746931214707,26.017182757667324,23.35173093989112,25.40146391544315,21.872456000729038,18.113065761185783,18.307215030763267,22.50311916307931,19.748180197907615,15.209718885569071,17.661536086229464,20.070655485035026,17.177780135931275,17.991101781913454,17.090239358562606,21.481503965937275,22.493891394356833,27.02659043954786,26.290154497070308,25.95498623557326,24.612218474010277,20.32300131670029,21.302986800029394,18.622633261970773,20.316824016842915,22.700336571725053,22.183275246373743,25.900079769966784,28.378790294712083,29.61017447394331,28.27738788236955,25.136135415258433,27.53399375273532,25.75907637911456,26.23899852835165,32.57864250741533,28.271609352688095,26.78832511751957,31.08157655548624,31.40945579822078,32.085403308609976,31.984481234968985,35.918728015383856,35.66153359001353,33.01038569870645,37.93773236045087,40.45114256819352,37.363280698078384,40.51741520002975,35.80824274612191,41.08534768700705,41.134482628939004,36.51666755172279,36.29156296353161,40.038298427588444,38.61106307609811,33.72277451244776,34.15109717314972,32.387616657370515,31.974822355322058,30.545054902242764,28.15337710821751,22.90940089329457,21.624149088346947,16.82350205285655,16.01040976807897,13.212941011058602,13.917302143920358,17.70601833717893,20.50561518761337,22.45370628345841,28.137418637521776,28.501035074222102,32.23225403535259,32.208256621308195,33.74850401068404,34.43315237099349,35.40608072857093,35.18052485521401,36.49782923048727,33.21190195135126,30.77309793687429,29.851047967596937,31.802924321276404,28.109797482657463,31.418291844112865,27.436543438693167,28.816349234836995,26.477969773019474,26.615262095271362,23.110094487261062,23.150836557030395,20.238622237484247,25.344445381167944,25.6764194107496,30.619543618740476,29.582706271861806,32.77159222476305,31.60482524729311,33.50621256521193,36.41212281181454,33.84502410128843,38.22401184176429,38.01202381028308,36.04370224904024,35.010884617811904,31.209367879148083,27.719469357710086,24.11484443089843,21.764121707931523,17.77866520085099,16.16875549136922,15.228474830809823,14.218532206787824,13.651619536667116,13.844847171516626,10.808585339109296,11.893030310022583,11.890905544082345,14.724864652481873,17.894652170940763,21.36009018822083,25.88282316157074,27.166813112185476,30.842563100038653,33.01566216985741,34.49522589685088,38.48642032338505,36.86819682286019,36.792715943828156,32.49584148092457,28.232211513674663,29.254666354859527,24.60450638980449,20.94368523137552,20.73359782717473,19.35601623482815,20.994337227088298,18.520114743193115,19.23504702391352,22.286418327233363,21.606609302041896,20.387242810173,21.865371444393986,24.744647603561962,23.98058242466078,28.4876947428002,27.87104136672731,32.8998752097041,33.44084041784593,31.014376216074254,30.666073961284777,27.140865443410885,29.66347911867962,26.709234865780914,29.25722257474482,27.15112377311208,25.75416640092914,24.057068326803762,27.561706447290483,29.074467925463377,27.13076568100326,31.60275466540978,33.23522018171336,32.96618315562036,28.795565256539,29.857654386312486,26.580183530481797,29.289708305355184,30.209825532678323,30.440794224323,32.56895186215656,29.39707109656905,34.865881207846385,33.45707912648217,35.927313438254195,33.96534941791004,33.680607788062794,37.360572768390966,39.126719391565395,35.56106733689353,36.19130599090217,33.30512160993656,37.38367771411162,34.59490924846807,37.370524998782024,38.49675287219245,36.22745042414879,37.45033253647363,37.15771291154557,39.264327742447776,41.47578844141735,38.083355974344705,40.90867573834494,40.39522016493459,38.80583730580811,43.1506331395882,41.54667143044024,37.67324529805319,40.21156908962335,43.29681779436209,39.35870719653671,37.31218859816633,42.03494091121705,43.565314990023474,38.43450962916333,40.2519976008904,43.54100741713828,40.48104086100282,38.328640642169944,42.78002995508176,41.932927857760525,47.20817130446796,46.47126603315202,46.28798173523728,49.63488548015866,53.7061070452248,58.055353052955084,58.363484653417025,57.487715881840955,55.958397152887066,56.909145827246206,53.08458285161943,56.6952326767718,56.816978715129395,50.592714263974614,52.157717628592266,55.93122584806591,52.389373760171246,49.033452227861076,50.37304233819157,51.784821632677385,48.38634993260724,44.67358570806862,44.02636491044844,44.23632418638222,47.831516383741096,48.345941114669614,49.234546099812135,52.257136564393846,48.23851578529335,45.667510246435405,49.01065175612986,48.061419051754676,43.27651400142069,44.31148565899136,46.51662980356148,44.281714045919735,42.68641505692362,47.77788051983236,47.91509685407157,44.07179142499576,46.530337671382036,50.41272773096565,49.445099942096824,51.421594205484226,49.38513778274432,53.20743078311386,52.94780628445656,47.30581102265827,49.702863572522936,52.123291690377606,49.504463948824586,46.69662627845728,52.261898115855146,52.40239585180469,46.82353901997826,47.52234259110273,52.694807117837414,51.42087304061297,47.517114942460935,43.432999566873576,47.20327475984514,43.74691453400733,45.60914686282538,40.18450497727817,39.80800358397303,36.04083439187889,35.482030123469784,35.914357052154294,38.221173928529204,37.515329520289555,39.38965911105022,34.31065683582745,35.69989511352331,30.809997534613306,33.0072952831972,35.092158919235985,37.81644322700252,35.64347502488619,32.003403251611736,35.21301392908594,35.43943967477642,30.232592820440473,31.108882824608273,34.81701743849484,34.4872083551492,34.809521337531365,37.202764734763285,39.046080528427986],[33.53543531087386,32.225544747455864,31.908888150365268,26.77241790927519,27.400600325756866,25.065945109651143,22.556517667321533,24.16818842604129,20.05065263588039,16.688561006509712,16.177406116439194,20.26383789733543,18.63966790364647,13.775257860970616,16.05169745582838,18.99041814795891,17.154501934145067,18.309534119000787,18.54896530608387,22.865797148900107,24.354406838795317,29.024318285061586,28.68597584603381,28.81122191352274,27.226051333274835,22.82383008978145,23.33305375631096,20.19083001392433,20.957396637982562,22.551052260819052,21.29345361953637,24.90500064066485,26.94156993567799,28.606596043271615,27.77667464536261,25.22440229466528,27.535849141386393,26.804220034489276,27.755542588137345,34.194147002416834,30.496576218614607,28.806099862875808,33.05963880542962,33.865613069700636,34.95274666743332,35.175975390701325,39.10461439461827,38.40140196751104,35.75526320279711,40.91342989954455,43.05373175212906,39.70650465830369,42.59589442989319,37.672937359668836,42.588847874734036,42.98644247977082,38.48058994530151,37.654389221445896,41.456838276483104,40.59870832660237,35.503184861436175,35.367398617785724,33.118081539467404,33.1277431544001,32.1445017980986,29.41495290570757,24.169671175270913,22.20684087686146,17.60737732596899,15.667104912598768,13.293642948024331,13.637371647057458,17.117007097598755,20.811050251064287,22.23708549675491,27.941703615469144,28.837970348900672,32.09321848608673,32.47693242441603,34.552019168862415,34.94595010654333,36.3963350020983,35.66570744379141,37.43820168069649,34.55889166257287,31.67998033135506,30.82628701924912,31.991103980404283,28.548882008764323,31.05426018762342,26.972515158572797,28.002844347223267,25.2283930907784,24.97609365973599,21.387905797211207,20.75776935538118,17.76961229411326,23.32418679701578,23.64466582960471,28.36763305185785,28.16310978607586,31.526144802521404,31.00291454315889,33.026377268048265,36.56628474507466,34.019919236394,38.42157591376375,38.610723588388744,36.453896282630815,35.01582086571268,31.13225635253969,27.937636956607125,23.88733178943813,22.318067155527736,18.03039427845597,17.38190798858498,16.69575119453459,16.817668212460003,16.129877926265053,14.993710320947061,12.093203141263661,12.315046815672424,13.337861470833555,15.438418279659532,17.891569555703867,22.183562078949976,25.891433171804398,27.820977962197404,31.567171410241397,33.86465656006762,35.739458273017746,39.68919081738033,38.50385381766338,38.02041293069221,34.12176541228738,29.70004827071984,30.937130858703974,26.514139751115877,23.17881752996387,23.04790602475702,22.622548578568203,24.333643706969642,21.355577888482685,21.60426498866436,24.393286593462435,22.956035314659697,21.656289596189854,22.249520913808926,24.848829603626687,23.360165901133502,27.652606835544134,26.241071526502314,31.190308772861865,31.005975168618495,28.573549887061567,28.79875761432129,25.65692758404816,28.65764472142263,26.046458490376757,29.217722335197152,27.992212742941078,26.688663215484798,25.840762294851057,29.32930622721283,31.357599644877762,29.929403754690632,34.158161332225454,36.18555926024896,35.64630223221395,31.444223195409496,32.142466020924374,28.717233597274046,31.142091900293426,31.615183969136336,31.456329243821674,33.04340256781395,29.539530580920434,34.999416687459735,34.2786324992567,36.68406009224917,35.4053018636608,34.58949215680639,38.809841267709466,40.91957427098073,37.48650022125619,38.30486925488708,35.36507616228721,39.81992921430984,37.59438864251955,40.165419535934646,41.41463261236702,38.77636769322874,39.94393110134625,39.411792902584416,41.30869977874854,43.39654170762281,39.775981392332795,42.27681910152057,41.51001221007039,39.508587243719326,43.674664330708765,41.64466477722223,37.88348625144863,40.60606382616285,43.32031708816947,39.09544375204663,37.4804431963416,42.03009713783193,43.01666880367205,37.87837338733019,39.87621580431565,42.89835145161705,39.477517116189226,37.569469487691535,42.149942723817716,41.694252822795484,46.68491410860791,46.71169072086882,46.388941350697195,49.48998862609865,53.807130257287646,57.93323262991457,58.49016987465029,57.44389917270202,56.12408558265268,57.08867545059259,53.269137242950656,57.16074949668044,57.364939623941005,51.209820859258095,52.850084761310505,56.89095049849883,53.437066958624456,50.108639849575546,51.70301184760512,53.27254504826034,49.721414291505624,46.22225440056333,45.08595810146245,45.106867729648684,48.564703285983676,48.667623177255315,49.332050445137185,52.00232234688197,47.941620532709,45.61032815693163,48.572196420020674,47.31304139478213,42.664440477482756,43.762547171291004,45.53356077265403,43.07946499702616,41.74051956678477,46.83241431022531,46.606192062963174,42.67051346241268,45.494496811504376,49.38888795696349,48.749961190297306,50.84578608870067,49.006558747154386,53.02235193550215,52.67761148331742,47.16448200244225,49.85842721988908,52.35321935877978,49.704348504636116,47.204105317492576,52.92904853797122,53.04676422023522,47.549829226917986,48.54119613111766,53.76881085695771,52.4490151386249,48.59203971731515,44.37318339889149,48.37552595026029,44.81170401679713,46.22390475622351,40.73448508094857,40.147509277517365,36.045621093541406,35.938140000640686,36.66780928738722,39.33245529966664,38.724734704032095,40.260966677292316,35.06791666829066,36.488355523910066,31.40295742392624,33.002507198591154,34.71556452923105,37.09648904633785,34.66596145848636,31.316449001348122,34.25355596197596,33.981228777581265,28.937473872350257,29.899239798486793,33.20756938907143,32.42538448702814,32.77318510329859,35.07132837019923,36.82243515510436],[30.633028180969465,29.644838483975704,29.95702064944086,24.735082055576207,26.343833952117702,23.63087562428359,21.82189036735531,23.835263373362753,19.54664664680486,17.103404731760072,16.88170567368724,20.971173464330022,20.167927349774757,15.316813298938802,18.38213830607437,21.433135862173252,19.876574505882612,21.779625300944087,22.516379165118394,26.669342114139162,28.4479239256606,33.08348546466745,32.85347121170988,32.820222579886526,31.05261525458441,26.639442672644503,26.80306449062994,23.363447121679997,24.09521324006984,25.24076746555052,24.44871088901036,27.4235444518244,29.532436781065073,31.730870338041594,30.87413393025363,28.573237679803977,30.389869334631506,30.075096506428917,30.882567238598018,37.406559219215545,33.7928166245906,32.491583842076004,36.838699587121035,37.51299038034198,38.69419909395791,38.66386150564627,42.69738012201703,42.039501746036294,39.03416049997744,44.110436359925984,46.35196937334086,43.066283497831684,46.14721599153583,41.088718708265496,46.11226814006189,46.77592415112105,42.283853097663055,41.40831723213249,45.389040058056295,44.62830090969082,39.57988646507037,39.517496356776036,37.187008027103154,37.43664712244804,36.389586828209616,33.47639368079131,28.420931739830756,26.2326754972632,21.826131045438334,19.5733999606663,17.466507552058896,17.898180904502656,21.17920562670309,25.109900027548246,26.199942264551364,31.978392300180236,32.831554426008616,35.91473224902612,36.23778351992211,38.35096945823672,38.381610096045975,39.69172401284456,38.51275074781352,40.21730738256334,37.36798197777879,34.627929379557365,34.2162507913196,35.138644574702404,32.154078612167794,34.52898395814188,30.585632076852928,31.70095440375313,28.64296677474077,27.960007811647884,24.097517633602724,23.192850950955425,19.83413195841646,25.331909235497097,25.11706088829776,29.262216008077402,29.907705918528674,32.69863317211826,32.860366310722206,34.28102845248609,38.067305423936006,34.99640749137679,39.19350074043538,39.26000050498063,36.64080394359986,35.34121290718152,31.10758656220109,28.55046300568574,24.24345061658085,23.185766884356287,19.422060792272692,18.987498466966432,19.25520308136014,19.388347975180675,19.766895790932605,18.449587020851936,15.25106038963492,14.604673828656773,14.818143591855563,16.227204138530762,17.944415506992065,22.498272522965106,25.603087154735558,28.082123269400117,31.81810477888714,34.678093705834875,36.184330488222194,40.32920867502415,39.526579719798164,39.26697857017908,35.25072065700176,30.710319876841073,31.314056415455706,27.306938305187938,24.114908404832097,24.683505420674145,24.63065451102453,26.997843068600083,24.290802300561456,24.101366821176136,27.22179630256876,25.6286046251099,23.871633323303644,24.11213253144222,26.214857610774963,24.13635202061951,28.06673508573051,26.313101007588482,31.34481820356949,30.543308046897696,28.701082811754574,29.44933230261749,26.631835101000792,29.57405627712926,27.620779016990813,30.50271790020448,29.620664659088906,29.06135855628683,28.01719942649469,31.88569408010728,33.63605414070682,31.82239646953017,35.89926200146824,37.81162846734309,36.78503469248357,32.620795069316905,33.356836824102096,30.18010291364035,33.021891480980216,33.60583195270918,33.65359833067935,35.07516299662674,31.760604783172834,37.30128669556817,36.77366982752447,38.903360200565736,37.64621289065001,36.21024851299804,40.59221723396179,42.83883222556801,39.49314397262343,40.865325708093636,38.2752260356968,42.72569652094968,40.50457305311137,42.7335080956612,43.68129298852459,40.970142150413785,41.66505348418196,40.79170655843022,42.44553662039139,44.17672247449057,40.2229034668962,42.51220195980439,41.28198914481424,39.33884415839183,43.16064506365534,41.10984655079699,37.31041538391529,39.66763432459729,42.26127343904377,37.89750331701436,36.02903227097462,40.48044089233942,41.4380787496268,36.00318114162982,37.803398842818446,40.73513698099717,37.238871689907015,35.08264437815445,39.56771980589995,39.31763025732013,44.2898353392847,44.55829834197837,44.48776553180631,47.51324230694048,52.07091197759817,55.95212428419688,56.9046204317284,56.061926294782026,55.03081047860262,56.26321155723078,52.65808547538989,56.728892898668825,56.63841488120259,50.55334423831042,52.543254725335174,56.52571528641669,52.91305783993092,49.798371378074805,51.718005050511856,52.951948208100426,49.17078904920939,46.21554696972691,44.66595681857061,45.15335818057077,48.52585863386999,48.28127635706669,49.16616862107661,51.63146670632115,47.80976506312099,45.28811274471503,47.83485850897591,46.71506014683575,42.09100807686111,42.77710412757101,44.35785692116156,41.804262106847546,40.26031397950685,45.284959267974386,44.898583044867294,40.719866063649725,43.49859958374106,47.44867855459112,46.93684680661797,49.338391688101396,47.8329796210246,51.88845836002664,51.14819895653658,45.69977637718744,48.780350931787034,51.021318681438366,48.185275881437214,46.057246366539715,51.86839422883366,51.605868991888755,46.127145906686884,47.55121912709862,52.64893630322524,51.00126051045052,47.14512556000491,42.7453893100853,46.64765679162383,42.83886636052892,44.050175203528546,38.563062114063854,38.22104700181064,33.963291304829035,33.75529833913804,34.887095448130474,37.712470239559295,37.49375860760063,39.1199826979299,34.17763716203328,36.05384996211292,30.974470793071205,32.01128854833061,34.0731291108046,36.18524382548204,34.032587234419715,30.400051862293186,32.77190545200532,32.55660294945334,27.835022901492867,28.02918629343325,31.141011525966658,30.52554052876641,31.061201919191728,33.44856534940541,35.307651523827445],[26.89194636620506,26.063382310445718,26.572107538772094,21.594242173668103,23.55792138765083,20.158016493977083,18.67584822156672,20.627218642273245,16.21903670914754,14.543812211538416,14.449602839328064,18.376696722204052,18.32888192153023,13.748414244563515,17.35389123218237,20.37415505679177,19.30218332925509,21.96965258558207,23.610877232048672,27.381077580047023,29.727806952466707,34.27851482242963,34.475114776771434,34.5113796178086,32.302200095366835,27.892503274814135,27.397257604923272,23.568027367618857,23.904348314777295,24.38851829189646,24.113960364428024,26.271747828104132,28.477399668306568,31.252126146472197,30.310163416087885,28.384624250917582,29.596549636784744,29.970045988114244,30.792332609258104,37.31896893440591,34.15240819767576,33.18721385061393,37.55976057794351,38.32107390397102,39.89193346645292,39.831363925633966,43.932782106406876,42.96996306190817,39.62233964827941,44.73734796651532,46.780539906512054,43.4236185489367,46.53084745960118,41.27204422834191,46.20851991336778,47.34172111456993,42.96186602905756,41.795398301451996,46.01047083263655,45.62803855407901,40.619329328423966,40.53254089452949,38.00628195076686,38.83166368861989,37.730444227459365,34.40536208476211,29.810261436832082,27.124980540711498,23.222501825124528,20.45270686814525,18.910900732877682,19.882183822219947,22.51663634521785,26.71622636890764,27.03840944995787,32.96279284351877,33.55777479974083,36.34503470200522,36.51485654546518,38.703398483672,38.194846730963384,39.43232253288944,37.671212270773914,39.42123782527611,36.79485432955152,34.06277130189418,34.13787555667402,34.606837080464025,32.26866137585804,34.419092192236505,30.762630610189568,32.17178193070911,28.779541385177062,27.54481040636745,23.364088729773798,22.423874951253044,18.6697291935077,23.810918036075076,23.05851865067014,26.656783855333448,27.95521442979415,30.234640529766246,31.010277421163856,31.98059500534654,36.05974337262755,32.724903765050314,36.76162746638726,36.94894454694713,34.08305367108514,32.669147075853274,28.324692887561216,26.242909440969516,21.737951766794065,21.35153915622922,17.941015841144562,18.141392109723892,19.128058608694907,19.903277440545722,21.060096987434683,19.016022635290927,15.838551275651929,14.235542706639052,14.443649897662226,14.914587415144304,15.727995464798914,20.61293806008489,22.899478053764117,25.863945074235765,29.543728446386748,32.642761612826355,34.20770584280839,38.33058024980211,37.96172977290678,37.56526845972438,33.79922945467154,29.21022378075761,29.727331870020922,26.134442332810035,23.367023351239457,24.22959881666438,25.10840622184655,27.80632538529282,24.973075043560787,24.177957708783886,27.26684040146807,25.222830212303894,23.159260384668702,22.763429136540626,24.350389282154698,21.719248232238577,25.267706689402765,23.17610572111696,28.170937697580303,27.011383535026653,25.548952967338064,26.620930445460793,24.107067500495653,27.013069366406732,25.64214501104101,28.42155397140052,28.129202668432942,28.138004973369146,27.397286093775204,31.414838250422772,33.239660744476005,31.62706265850313,35.35686740000871,37.509889631150166,36.0937854862817,32.003163577838926,32.44009236784095,29.336423301729504,32.13236634029549,32.521165708014344,32.52550271263034,33.59127721976086,30.386513661422555,35.896467512691544,35.7427017659691,37.59944483161426,36.67000196834179,34.604563855184324,39.281417283693706,41.7707239520585,38.602484242524014,40.43133781718338,38.12076118982328,42.73236509538501,40.94630206645391,42.7365024430593,43.57836578044623,40.57928102014683,40.971917044364695,39.78146305488235,41.161931652526405,42.65422674035655,38.488472313943774,40.4569254776405,38.95839741868972,36.79038888129376,40.37659310054286,38.10425575754845,34.400695616407816,36.76951316267447,39.096707961182446,34.597963512043286,32.98845644894468,37.27291325099132,37.9133218415929,32.506377518982,34.40337932340388,37.159786289478234,33.50187291844131,31.524678360458076,36.071205586813875,36.038954427855145,40.78980011134294,41.53819135931883,41.32624245057446,44.174416898699754,48.845892693871264,52.58697994138306,53.666904503089306,52.73425194769626,51.85235480433618,53.12556698029153,49.58816574715967,53.82450395965746,53.72488690248586,47.733544867571496,49.82442042521231,53.930390922500884,50.37577881958857,47.34077993137569,49.48698497589122,50.76227975308172,46.869690899685075,44.18532751069006,42.22780723659089,42.697490642998474,45.932072628407845,45.36758803722865,46.200339544130976,48.43010416648311,44.69825988744337,42.229837125893134,44.470213655508395,43.28101786131675,38.74582468261172,39.338112505130375,40.69425640037626,38.05755768313468,36.57595041437787,41.561891647869174,41.0236040008818,36.80395969987712,39.70947782911535,43.64975693424197,43.292183653663066,45.76017693847484,44.40094689363265,48.53420137025831,47.71142051670805,42.37127135076786,45.63676215269236,47.88371073964209,45.04309928787745,43.14591232987066,49.02393047911374,48.741564347460645,43.36926563225684,44.99869634623081,50.094968080578745,48.443012854286025,44.66328271058592,40.22263407332171,44.31580531479467,40.52132769454988,41.35518427547202,35.8750883916712,35.30376081254956,30.87177440117799,31.063460108525362,32.344240013259466,35.41682787353076,35.23409042662373,36.54970345794713,31.614752777037406,33.546894337596555,28.438877582473996,28.97143276871574,30.88852962462571,32.74970174234293,30.612090156021896,27.05013423098399,29.143897908180534,28.756298160264556,24.22691363415102,24.289607618745112,27.19476556951844,26.483782346907265,27.072996475787818,29.491180322136678,31.373851880412055],[25.590748705000763,24.7690770452118,25.634237017268454,20.325655326109196,22.98628767195693,20.3380586676363,19.48967898050104,22.23895862566422,18.30036969587341,17.042129712897307,17.7155263916302,21.685895144238557,21.298518525137368,16.92301772447962,21.029867928386917,23.82231513962705,22.184175630098142,25.02533936169669,26.21205621492163,30.00370884103548,32.190315345099535,36.66076104453,36.628865776570684,36.2673732701757,34.1412023157209,29.802877102815067,29.423172029002817,25.707740604859953,26.63337624216731,27.398956155377824,27.7909644801478,29.761337766443706,32.29031958156895,35.066620023946165,33.80767721211705,31.616900970304233,32.63532943062842,32.549946742541685,32.96233535889002,39.48356879402195,35.934530559564884,35.36116881132454,39.82201318132285,40.165383620345054,41.48641262697686,41.013097904778775,45.176487591293466,44.592180592428235,40.99989980210041,45.85983086577759,48.26420945215024,45.15631836090144,48.592152953216356,43.39656737119722,48.670992693557494,49.71726207625297,45.25923346609014,44.48317562311657,48.7668688580288,48.03501286253511,43.18190072221878,43.499469139129026,41.22757363991171,41.86265148248897,40.46360114664916,37.270722053529866,32.68774372144038,30.302658549777274,26.24635564759169,23.921824870971427,22.121117238240757,23.159090125038833,26.11623504949313,30.023802653097253,30.613868068020263,36.61398345989166,36.9445646072854,39.97221826246427,39.88808453275994,41.77284923706684,41.26604228384744,42.10026196115882,40.40002514556644,41.77889584616832,38.87167412222924,36.55111034532762,36.85510470708236,37.715795634420694,35.43714123262103,38.03533838015994,34.44807990347125,36.060623853166284,32.77369578055717,31.604724051324904,27.33220316471794,26.623053121919725,22.760397522852525,27.67469897345527,26.653913198497833,30.034609078618132,31.294634544297,33.04799233220241,33.83812727340099,34.25858974488356,38.0271041459855,34.23921567772184,38.06344408275783,37.79598106908346,34.64862774860876,33.727479933975566,29.12716404993555,27.410315309909365,23.07750733541524,22.490599274881085,19.774588514769206,19.401160918823347,20.920710020209587,20.949268635497383,22.87421180488299,21.51349469134584,18.048166174017574,16.495927021808793,15.433964237820302,15.876134984629664,16.6185106441709,20.988351751703426,23.38295030763927,26.312628823643696,29.908783911028852,33.44279527672354,34.30217198323034,38.648700331447415,38.28357390731383,38.439834932445606,34.242883486110955,29.688032396987357,29.37991835602223,26.03799750267086,23.16591245446761,24.64480730704153,25.13979317716991,28.33458622293478,26.10039142757295,25.29556044768647,28.810925716358724,27.192770961896507,24.853332959274965,24.851960349853858,26.272708109162735,23.75979636390128,27.160997402904858,25.47171430655319,30.554835479964268,29.477437297119778,28.524872673818596,29.539333210972295,26.982718624944713,29.454167824604337,28.31454053774674,30.38280848385985,29.676008372812923,30.19612749598823,28.669984147566296,32.993127579725844,34.19679596336002,31.849371246982574,35.61068873220861,37.320737202852925,35.65473352818838,31.64898404479501,32.42320983614772,29.6963048802294,33.08639324588996,33.91927824473915,34.389862010537854,35.73899141914824,32.921056616441255,38.49928321059063,37.978269923116706,39.67554665385473,38.24009183027817,36.07836372778162,40.45335431456736,42.781616798724684,39.59049243346872,41.73392440981761,39.742134780740706,44.05395782694645,41.840450072263145,43.50481705889476,43.985012881014015,41.226644260727724,41.23614973607944,39.92439038054768,41.240851010943786,42.48104051271827,38.184814626301126,40.21992179218446,38.459277210510635,36.727120199871926,40.10758160504007,38.20445392233329,34.36175360198975,36.15726373465273,38.700445970436924,34.320384713006725,32.00134866296383,36.34706066361245,37.479369067910724,31.73472053950965,33.2167780341531,36.136484220391836,32.74411769360214,30.2077624825617,34.51901956581813,34.34511203364827,39.3754980524201,39.66155629233215,39.89173685365828,42.89641280761122,47.61920335322072,51.29135288972148,52.59339320707112,52.04672770442444,51.287806455067965,52.836297935519845,49.52051947550332,53.69291572908089,53.20657877286979,47.225585294823546,49.61842463928846,53.42468134300933,49.61809231084195,46.787464223963404,49.046631723619356,49.82389038561605,45.819432070097605,43.53127950743589,41.571440645780726,42.70535456428408,45.97026484413856,45.41418729089878,46.671176947098154,49.00107910490589,45.54948977118132,42.68495321643885,44.837988929507475,44.06896717874591,39.44653859330142,39.55270870694299,41.10335305470051,38.569650668224924,36.63118892680442,41.53593181981099,41.161727633003665,36.769530254863426,39.26769821513791,43.257968076917656,42.73147283190308,45.42832893489262,44.25099560802032,48.247865235023895,47.069698238715254,41.67794408721888,45.09644449447522,46.99412189125281,43.96695437385039,42.199210007963714,48.02906219426999,47.33944578665567,41.89975511735218,43.74976804476297,48.655476988811415,46.66824240550661,42.83198189838507,38.28885429527954,42.046009842743,38.03845689545018,39.07568169925777,33.63367088928284,33.58077836832938,29.272380976542415,28.869055780621466,30.36956767553418,33.3023668690296,33.4983008363492,35.2525092790164,30.708343394343448,33.123995883394485,28.20911748291114,28.679658901537916,31.325133752297734,33.21757176285773,31.60912877476205,27.501158695921156,29.230288331797997,29.3933305553342,25.08500431340774,24.19748891673279,27.27490975334731,27.215103503777996,27.990611321901852,30.57599036011953,32.623465670851125],[23.431736335660535,23.14534728109881,24.537189570168948,19.808461131761426,22.998392679806383,19.039074407269275,18.657382455621924,20.85291402919628,16.612906075676026,16.40670893472916,16.61472982967471,20.039000249599226,20.962976473598165,16.945220143126882,20.85557524319498,23.75276995696982,23.059624368991358,26.234148550337,28.287459458480992,31.821728586150993,34.424809317323856,38.89149063673422,39.24226963043934,39.18863074919265,36.79461564097578,32.43452883188624,31.601650549859883,27.600393814411383,27.816416868372887,27.811263352305975,27.9763555617347,29.402637716207717,31.599193964792214,34.84974037316078,33.9022419099008,32.30186682897782,32.98042471946456,33.824843325563606,34.53224298456709,41.00076501210972,38.057060664253974,37.45729557556104,41.84622249995388,42.526948088612976,44.23862757462936,43.98995763904976,48.146427461495186,47.15397804854048,43.49196607280122,48.49813575476969,50.54790523426915,47.254039489202206,50.48306812772243,45.12293055801299,50.064659535230206,51.511674243985894,47.20489501637668,45.9386789036488,50.30640667323635,50.091408503220954,45.15847044360382,45.11547377722172,42.50283697481701,43.61087235735947,42.46952947202167,38.96082771813683,34.62014119090718,31.734986114520332,28.084824451224637,25.113884468138647,23.818360796657412,24.857043929689493,27.272532316616807,31.59898261356003,31.58546147914843,37.50078256071924,38.02186401551998,40.58339738398081,40.68207915597052,42.89714383150329,41.99650351177626,43.098004998156526,40.85807560392853,42.540615493535846,40.047795339277336,37.47672740984705,38.001459810366214,38.16192162015963,36.356245052614035,38.310375036589264,34.87997032323856,36.37526809310584,32.772322549269106,31.136440243109696,26.83843335725242,25.715413247775686,21.82506240814441,26.530993511481604,25.226987924236806,27.939295395588584,30.16604392908308,31.69613565025145,33.252941489845426,33.52300567985061,37.80712433569182,34.008399704798194,37.684862061468905,37.79615904543913,34.47415203508822,33.19457270893759,28.62098129966504,27.431205244901495,22.869344418117027,23.21684936495664,20.617208536036554,21.13639268473607,22.88848252560495,23.751898667714872,25.63562307179744,23.44947171824513,20.264510045695012,18.146784133432416,17.809539918810763,17.471547278083833,17.23477640777904,22.012902694031986,23.2378084874733,26.77084543613925,30.25795051066519,33.86272887330394,35.05619821842702,39.24719976536047,39.387258242011775,39.15549952611911,35.46581050486995,30.908431599747235,30.79901443142926,27.875148750144117,25.501992719105587,26.972687962671138,28.326887535849952,31.490782558519207,28.89859211999233,27.699337986487713,30.914717885556648,28.720243787158246,26.33323791085297,25.516531634962636,26.45542285434001,23.272323530001813,26.126388149937597,23.6698550659701,28.475189246189117,26.55918484918536,25.939886521395206,27.60833851502245,25.64226092014745,28.343750677499024,27.816098565632863,30.198580107918442,30.404351696567925,31.175402832960142,30.390220649624446,34.61906821574259,36.199790909951496,34.37544833708874,37.78690667425975,39.86332576777873,37.94538992666615,34.022155941553166,34.38843469279659,31.62159915753248,34.6621791144222,35.07449985976606,35.233775500960036,36.02674566852117,33.09951438962909,38.51679707167785,38.638701185028914,40.1500283844819,39.35821762495542,36.629551347866055,41.429361463246224,44.063826884985914,41.08275039150729,43.46478199676498,41.543955394449895,46.127705754685884,44.48115434498394,45.86078844849662,46.415845999137204,43.32231777089258,43.22342053216555,41.66371008288094,42.71325295867111,43.77291364995388,39.31395685430548,40.92313797634649,38.904231752432665,36.75924013862359,39.82342525077036,37.487919207775676,33.87729737705139,35.80710541238109,37.842226144860845,33.233511351963195,31.50217816320243,35.502128623811224,35.952640112283255,30.332795821219136,32.00391682594941,34.51917059473147,30.75424305994778,28.6042000691785,32.98888678903815,33.310248176079305,37.86500141713826,39.103163211830825,39.11341819614621,41.75782831130864,46.689755837612466,50.06855960002364,51.62080311084596,50.872678324236176,50.366872936709214,51.919533667939454,48.67001853547634,53.10217335573356,52.70180263731675,46.894978228409336,49.349070267204866,53.393028396907305,49.74620378714951,46.99864637969324,49.518869837125685,50.4620646194235,46.35348427422609,44.35411781407336,41.86994869742512,42.78803794008037,45.828384325205064,44.80179724318776,45.8214178427424,47.71584590355043,44.31804245265048,41.72491006502509,43.372594899199505,42.31631761101703,37.931548959933856,38.037255781629774,39.06209726516964,36.32596202023307,34.67661713277687,39.48281452273001,38.70046485506874,34.24825508523116,37.12023183572402,41.06864542260404,40.930334724945986,43.73371999042452,42.81679198525924,46.9704342855019,45.699865658196906,40.549366970790075,44.26022149682326,46.21087359872272,43.20500649682729,41.832512009466505,47.74260008226686,47.05749188030566,41.82430274271498,43.966314611517326,48.85655449451913,46.882357580446026,43.18743479740882,38.60745773111919,42.60324512670724,38.61119301014695,39.042529553983165,33.66617131356755,33.28161880179686,28.693258139218795,28.95312207879692,30.7286356046417,34.007751540900735,34.2636457502009,35.514996525242864,30.986056314447957,33.353847934275585,28.420673569664345,28.12133853234026,30.28201355387865,31.683856962180602,29.917353010333834,26.219236709669712,27.45775401931089,27.060543445315425,23.19318927375569,22.258580782321612,24.6966705067877,24.16009817386617,24.9953986263769,27.452957083484428,29.412516630141635],[20.62488424572994,20.22089053041998,21.988061477165584,16.927960726100878,20.989446512979757,18.252260259881844,18.741851036157765,21.961708176247882,18.626476441781264,18.838878677272085,20.102187790570234,23.576265483584354,23.8408162673225,20.195031922280634,24.765377226682514,27.28222528460302,25.848875097038892,29.34045622094109,30.994380976660647,34.40545490151582,36.943701341414176,41.23659379155674,41.43248036074822,40.888847009158646,38.46368210423835,34.25159584075779,33.376922672718145,29.489743787951532,30.38393535003146,30.667366117846232,31.89291064934013,32.936640224940014,35.66511150487485,38.947856893557024,37.46608418951532,35.529341058702,35.825500684349116,36.12954331155351,36.27944253004539,42.66700574538675,39.36210108668988,39.378667524519095,43.85416800899292,43.997266819825754,45.49779980503055,44.713151648058684,48.93102225344053,48.33067171703273,44.27632269228078,48.91767800494586,51.35675447661306,48.398768396285824,52.0544202619539,46.764822176970924,52.119966421675045,53.56634531854237,49.208787952243874,48.415848759242344,52.92743694685854,52.336405192565785,47.65917947606919,48.19334947751009,45.91085448359217,46.93219167328592,45.3335738869122,41.890038908385556,37.74843937827398,35.14635920227609,31.462581735729625,28.991506689450937,27.50804548697012,28.885000716843738,31.51924636010473,35.47195235016063,35.595640968614525,41.683769858294724,41.67497151969517,44.53390874115916,44.17865677151437,45.93860305188888,44.91925666855282,45.409865552166444,43.173387649575915,44.31661259501129,41.500529610909254,39.52526652980147,40.46123823606966,41.1036346428091,39.523081757980414,42.119274186720624,38.87813215621373,40.81241724611677,37.32354178111133,35.713860585715565,31.21885301271083,30.575544407763953,26.463493139654627,30.738834331274056,29.04283944447543,31.498702957931684,33.47448821925808,34.20636068004378,35.71766333193322,35.18031497383266,38.96212800849354,34.57142445411784,37.89296506295948,37.382952732616744,33.72072073292079,33.13682698655001,28.306652306102343,27.65742981327991,23.465112173131594,23.589629551718023,22.024421488683902,21.92368720037767,24.396546186660355,24.52085312328904,27.471580482285177,25.956920766977138,22.514615871152404,20.337524024416698,18.59178499077493,18.026783858940288,17.559140699392433,21.449249583856254,22.655654210377303,26.064126098910656,29.340546869073876,33.47425043754579,33.71953251498944,38.134321711681665,38.3423662086643,38.820127434302364,34.66500677604137,30.240952094400733,29.05703036626976,26.63971897992169,24.349012091155974,26.59621189579368,27.73705568452009,31.50515140324218,29.648643618533082,28.29474858347659,31.94701257130109,30.234943546369973,27.493317614140395,27.107835297104607,27.753784039618548,24.810163327054905,27.40661837025244,25.681149731761366,30.535105848953673,29.017819686720813,29.059906389371193,30.43739961504853,28.354899335020566,30.348745676833524,30.131084745975166,31.458102231464956,31.14640418592807,32.66420942102907,30.93414685956577,35.503245609934666,36.27697429282365,33.625556102699214,36.90990765039601,38.466530966253075,36.161096020250824,32.446916913211744,33.14199583508865,30.93200198947559,34.64905531632441,35.593454767468884,36.36422346376563,37.4908141449621,35.156793499180075,40.607688687673054,40.247483489721574,41.484614284122486,40.06046044736957,37.146622059061066,41.51641108201325,43.948507477476646,41.0096676760177,43.87424511586934,42.46170696626873,46.643503482211386,44.59168821858641,45.665227698181376,45.72527060998823,42.89763964469973,42.2355776474751,40.46770902852338,41.36164647055965,42.039130545560035,37.430964242274534,39.05435575062593,36.68947631619044,35.12705373224761,37.872614697950425,36.06458947486087,32.31404587158982,33.45470810466104,35.765459277673514,31.391773457662616,28.72348042411634,32.768046470522314,33.92140911445501,27.922464240386496,29.017631731626228,31.77576208708679,28.46573079189287,25.561683962465636,29.607434743818278,29.670329171257436,34.60560078879295,35.15882027714597,35.71081462668588,38.56893117073061,43.508100419033354,46.8339046510573,48.603636932813906,48.35382699488556,47.977097177432974,49.86826474776353,46.92109049254077,51.22762930989552,50.3300810780668,44.56826713865716,47.39444981103441,51.025106114647436,47.082411631120344,44.619436670217134,47.281031679829034,47.591619160825985,43.36335003676504,41.913332657151535,39.407463323357476,41.179749981637634,44.224897436396596,43.22286238180229,44.80921183413966,46.85673031506215,43.86383425374749,40.74016740646111,42.30181112835822,41.86065878333522,37.37675639168598,36.82822158783132,38.18644243763827,35.6660725955089,33.37349027547063,38.03560802788564,37.57416669298595,32.973079245509616,35.19110662087698,39.174895961958946,38.73781754315018,41.785535343526696,41.06837279693183,44.99246823719783,43.29519354067569,38.08821220085512,41.935583791437566,43.428568829731695,40.20987936207436,38.98754014017815,44.79350863246418,43.6140216703516,38.32487356596292,40.72728463843393,45.352612337711115,42.98806667604647,39.2485817116826,34.575322438453426,38.17001825206293,33.957071295783024,34.610313375362956,29.301549895334,29.54431570302425,25.170785210835184,24.682505751049792,26.71983688206655,29.82047693029434,30.54544245974306,32.295610469745284,28.341417570627808,31.304662820421488,26.72992660675039,26.331458919161285,29.450520425210566,30.91540472525406,29.93150398557748,25.52794666457874,26.299266106688705,26.774424199699162,23.244700273659223,21.036104984682076,23.784364894631086,24.308277475770872,25.369065788868102,28.056490781180617,30.227254082122503],[15.41667680640357,15.639201770765883,18.316922524443406,14.153481852163134,19.252182342001344,15.793877143868679,17.51528840426888,20.59403484007133,17.895881715403743,19.56176642738993,21.036921316659928,23.75061026497193,24.875719034339248,22.087940630283676,26.720797471693377,28.95082335728426,28.048397341878974,32.04750115211358,34.397180911268805,37.35288191232485,40.33512222426653,44.45058371284528,45.03891522589773,44.55503199789161,41.763556214896774,37.66978229146197,36.209965992553784,32.12883099477047,32.64196593894883,32.24838139966619,34.02125020499221,34.11600631035409,36.852283094963944,40.631360336451614,39.08189208781906,37.59595267654945,37.19605351167563,38.18903667291344,38.29985850794026,44.47044885214144,41.72022719210419,42.126955628698255,46.52581919523641,46.72176881179316,48.58291970458593,47.749829375903026,51.96743202222844,51.07990304660313,46.7089424047364,51.26064895030841,53.464017357078305,50.515326976370275,54.16822494784454,48.76542821215542,53.948480781960725,55.89441303653917,51.728583773097945,50.67090685403431,55.36419715192361,55.16132217062456,50.610311910698286,51.13735768436539,48.71156862642363,50.27176542350391,48.633009821318744,44.85789496729698,41.231334936834934,38.26073671465489,35.100248235064704,32.308623053724844,31.294777693698038,32.995178386743994,35.102351170543756,39.18109099078535,38.66031169493455,44.73822350688567,44.47781867150091,46.99200356592132,46.46923421894933,48.24345709481414,46.658623462421495,47.003323029318594,44.14879058492268,45.24976313953992,42.75362656852573,40.923759247568235,42.41069539972368,42.57152541329125,41.75468882674987,44.07572274689294,41.2323892034971,43.409562067995694,39.703437984704856,37.610770989066374,33.01153709317163,32.38675365431399,28.175133308934633,31.69152547943044,29.418518506834562,30.858971579702324,33.60430590940809,33.43318309933366,35.73554573953011,34.4382786114596,38.37820476936409,33.666214986962316,36.494049085359286,36.047442848844184,32.034926002667845,31.482528730692373,26.663011010850585,27.049711999066243,23.032024605982016,24.114156372408655,23.42947524368884,23.957561518182686,27.020685879328827,27.67258431645283,31.157517949426754,29.14577468200851,25.93497556149602,23.19329924125684,21.505073780207212,20.011627246081083,18.35091404196071,21.88242357039575,21.544525148321725,25.458021558470886,28.33568386326033,32.76477584229094,32.84506103699941,37.094092731404636,37.97703636734297,38.38840545438568,34.67688928876996,30.453396612408632,28.948791744396285,27.436948713372757,25.917106407374302,28.475033955019494,30.544540878174438,34.51145938580166,32.661814478217984,30.764510368203766,34.23121063019151,32.17824607184603,29.233503851700636,28.198369118104974,28.06258567108259,24.644776361331296,26.294722792170543,24.330280769227155,28.711784388082283,26.67508922643099,27.623444688549853,29.400244507185207,27.952880877675174,29.579537432045655,30.298012625462373,31.179314496038373,31.60949945436148,33.88010151591555,32.473494235140485,37.03521663841905,37.758448625989125,35.35072061356166,38.04296423535119,39.764142074215,36.96909129475337,33.5626232462735,33.88496771140897,31.99528244046583,35.576206568907395,36.31330922944171,37.0903303261531,37.75637903472275,35.76792853842184,40.94096558035988,41.00497343705893,41.80698844159286,40.76466934742528,37.09407040575322,41.623897529622724,44.27210583123721,41.67035679155365,45.093631474056444,44.11813331749572,48.33316620938034,46.79038338973844,47.29016153362201,47.15479081900768,44.08427155235272,42.9650061675278,40.78846263276673,41.23413013474788,41.45315714691141,36.64063944875674,37.69164517861006,34.848764433062634,33.12572439607975,35.233181913300214,33.233237715919195,29.764091715341593,30.58260357467626,32.37244409260861,27.930333037784717,25.5232036025216,29.070043213682986,29.767191423722874,23.78686469295235,24.781602947142346,27.14637977676654,23.676925190070726,20.857396892948266,24.804758502249197,25.344927875881403,29.847325496923972,31.24100334926567,31.732829152092176,34.23465178728611,39.38421560223204,42.3434188164476,44.47686314969035,44.23003308633026,44.21065208916089,46.27218193521828,43.59401723727719,48.10212569694944,47.04784152681862,41.57345956650083,44.647479827942185,48.31288077792307,44.45258948354688,42.268361623606204,45.302934249020744,45.49649711812275,41.12761593189542,40.34611474338931,37.19531768233076,39.144901859058564,41.87021497984082,40.31971880117855,41.94241347031393,43.550097202541544,40.909798464849835,37.809999604497456,38.70065430085238,38.326925949064986,34.116185864073,33.15025663040508,34.09535816026824,31.519399798206805,29.167863995317315,33.577618773380756,32.87079870818375,28.154477220265775,30.372463492906412,34.30720238234807,34.13403980119192,37.41118891507388,37.110102308919416,41.052763458381236,39.036077296494994,34.123221320244994,38.35450165770353,39.66204092559709,36.39391116113744,35.74260847343273,41.53336984204199,40.14542416439492,35.14413491925087,38.00320908922742,42.439738216628136,39.95809063625893,36.42429948877376,31.738965684611948,35.45518270405255,31.272172152386556,31.1946362197881,26.07232020658251,26.111108954422086,21.560745463755733,21.669953827813536,24.12610097731624,27.54410847262892,28.519660036055583,29.783979201500237,26.25596676624882,29.40528575287076,25.169426362573184,23.715946966730165,26.74855226848562,27.614265219768928,27.018137641019152,22.755570290993628,22.550753822763056,22.966095008149818,20.364884589936135,17.206906214871516,19.298568502028516,20.08505252949466,21.37151306960215,24.051014219681498,26.247968772306084],[17.19572490359487,18.18764804675227,21.19559903945849,17.829069957820252,22.692129200270024,17.935198883858057,19.53263614201935,21.64816998055698,18.39963980157436,20.466436928128225,21.088357096962923,23.323645986166138,25.560207559777005,22.773630137654436,26.820707681455435,29.29867920299489,29.224666806662928,33.08450691046267,35.87436734239715,38.87225573527919,41.967617505440714,46.20805426247893,46.951952989558364,46.837905928351134,44.04255001975762,39.83623554223174,38.337272055344734,34.12395473784188,34.02464590192286,33.180482584771475,34.148174491519136,34.25144716214641,36.43051246467841,40.385682143753684,39.36303617156401,38.35337519931798,38.0671436020962,39.74719347680204,40.29547307550162,46.48954926596236,44.1349577472944,44.14713564996944,48.47239913396625,49.09089102157605,51.157198121389165,50.69039668922109,54.87772637836071,53.67850475840547,49.527097446875956,54.33069645145458,56.22184408300231,53.02263429881379,56.35432994027498,50.86201247148274,55.6706332411599,57.74546511659488,53.65688713597168,52.14641113548875,56.76164968130601,56.95283195438318,52.20814352062125,52.23287235278121,49.477999830519245,51.20408824456537,49.97068412539556,46.09221776508045,42.362260460864114,39.09897162751697,36.036497328172594,32.7688356548714,31.97488242596771,33.33343564014078,35.208901220120914,39.649194738607015,38.92183955703358,44.79059369085783,45.01867987402087,47.14658109869418,47.030810980290745,49.233907002778636,47.590645229486775,48.43133355674196,45.35587820059268,46.908430946302204,44.77966392197145,42.50527247629363,43.813876101255815,43.391584585757315,42.61294261088499,44.227378000562716,41.32433906498763,43.09025925841997,39.21079272101786,36.92439654342159,32.529474200345554,31.35338388726616,27.392920970276617,30.997303812518098,28.831201728318604,29.881980591286855,33.4367318520816,33.55902362513728,36.36413568401751,35.42565218788513,39.910676669419054,35.53425673522607,38.41518297252398,38.50079725652361,34.57849140236507,33.48331000865115,28.869762844577515,29.3014578192224,25.033067317467296,26.645383417158673,25.442988224604328,26.563698000619123,29.259487643026237,30.47147674172373,33.29451686599547,30.74624071282893,27.738556590004357,24.953188825935285,24.19347803629344,22.702564548253783,20.91493294300971,25.02594063438788,24.188440689973433,28.41041021714069,31.300548682218754,35.4709167502774,36.162904837629306,40.19724504308131,41.29189547675286,41.17819154075563,37.944101127330335,33.674136713753725,32.767732194750664,31.154004973690572,29.704009090042952,31.866336576677515,34.178210664148644,37.83608688869206,35.50805161664496,33.63751601517077,36.797972016492366,34.31114618646112,31.564071485382083,30.010235625082377,29.8275799346899,25.980284467658393,27.38769829034196,24.52968344405574,28.55401449124323,25.534171015496266,26.504734705117052,28.976864883221705,28.069607677720967,30.19831170882779,31.1246651357377,32.74221809522836,33.893309731005466,35.8397807610855,35.22025802995404,39.557875013184166,40.843679355621,39.003377675073956,41.6759618679728,43.75157965530606,41.0702060311291,37.58706719003876,37.639151227668016,35.461349698234,38.57552910624891,38.8709715943004,39.18344579530683,39.40404357563457,37.04193325324827,42.07836429776033,42.731485019496894,43.595882342733134,43.19360288491233,39.38209925391181,44.31165053637036,47.188836983776596,44.657623654767924,47.90693073892315,46.6715373927707,51.19708815618754,50.029407587919835,50.62573108972962,50.768960793941886,47.46203108188442,46.589771351475186,44.42745538955631,44.83792679731037,45.14568430061458,40.34872577381407,41.17160869286872,38.34939976658232,36.163255031539485,38.155957234089996,35.66309463826371,32.474160443089616,33.67088136628381,34.93629902967929,30.299326895551907,28.744546038608288,31.9064699394699,31.741967697269747,26.131611925323007,27.431463930103657,29.242651805612795,25.322619900717807,23.200844427205357,27.142219860980656,28.269670798294577,32.078322940487475,34.5324232231854,34.7297520149347,36.79224744557376,42.07336503183022,44.709265430857144,47.03468391143518,46.48655171777716,46.667473732581435,48.614778476203334,45.917517361715554,50.64048370471462,49.82336240260829,44.51968199825965,47.484347112562205,51.43272477078161,47.812727214165044,45.608970488785424,48.731400994767974,49.24719085195141,44.8911461536182,44.094538509033704,40.67322085536534,42.140045665862864,44.69086668722839,42.80338283907512,44.01110395393916,45.18604816061623,42.45615622766411,39.82049429273288,40.30014606953907,39.43627795054677,35.53116163489886,34.82018712458798,35.11240045906818,32.27794549143045,30.48618814415653,34.763089510867395,33.496129495099105,28.801219575390217,31.611272135374058,35.43219187605086,35.78325177271115,39.07468720530444,38.98236976855157,43.098656202801884,41.1294701982769,36.53325828215067,40.930013344396095,42.39501090067246,39.241573907264,38.89315851896502,44.701926670496285,43.45420562801362,38.70029942382868,41.66511889339692,46.10495459979849,43.74563781494704,40.37149154940264,35.7560538829953,39.63548500633256,35.55571210800556,34.99879184536044,30.053321581846674,29.72679991183301,25.038246883078326,25.81890232151983,28.33772105535292,31.927010888731743,32.802994472133705,33.59522205685872,29.946914510311565,32.78359747613432,28.454853668267603,26.584097127531027,28.79344014895135,29.195437732326855,28.152864848103537,24.635401005541485,24.155603133137024,23.646107212066056,21.45536026563999,18.84051565464506,19.96145218346388,19.753585326567443,21.013694952252443,23.353687679205496,25.32527671224249],[11.279950513600191,12.663358996757745,16.249677234766846,13.962136981164788,19.335478957308375,14.717738100171061,17.46062814670158,19.719636566077558,17.71213826830689,20.768717100950063,22.085065858541363,23.75149917849352,25.96981449968424,24.131010567571632,28.43738916392947,30.373824086109114,30.25692607630541,34.56861793427413,37.6711083107392,40.15292190728569,43.55881138938746,47.49502658617338,48.52217656240968,48.25058545854897,45.12903372494102,41.15739320283644,39.15015130396562,34.92041543951674,34.83914094492522,33.660842273042405,35.67234203275072,34.83941368354367,37.361150139093546,41.59773281174342,40.15779315518618,39.28850180418864,38.25953416886814,40.13830824653128,40.37915090952455,46.24933536342134,44.23929239366756,44.849780342486866,49.0882335354304,49.507811797320535,51.791434639435394,51.09001365118923,55.252388297739884,53.94570660365598,49.41566377263148,53.95617791782588,55.757249781095425,52.73095745031513,56.203420079678985,50.70997636726138,55.51671488912101,57.985873989055634,54.078809054763376,52.59754614083874,57.39611617053092,57.72954231665435,53.27077660154586,53.60879873287575,50.9591647945547,53.09960666051913,51.5678418455661,47.46916015715172,44.36372491123267,40.984741449510075,38.41827746817694,35.23980244981241,34.75858790990311,36.66544172428958,38.1523222299825,42.3785862041453,41.16857202315147,47.090084970330416,46.71275156110713,48.73861243155827,48.17370268006396,50.07651284611052,47.935410115242306,48.31039282184621,44.81569104766022,46.032192251140444,44.03479339668412,42.19614417073829,44.12207489097385,43.60694189379781,43.56338295178037,45.36197175293014,42.94449789615198,45.22597651645715,41.32400619187,38.747289410032224,34.20934511375826,33.50472093764357,29.394062615293432,32.04595246928342,29.30341845397153,29.555666728989,33.21453347616585,32.234560581190536,35.43077677501106,33.55237473131984,37.775584191907434,33.013608169604446,35.32067031221672,35.21069451857626,31.021360386482968,30.23347904116662,25.695177330319417,27.085864815947858,23.320840849900502,25.48076793966502,25.409669207141032,26.7175636005643,30.034847334415975,31.37620356225967,34.99500331059186,32.37490417667782,29.531303622481506,26.374428995252476,25.162094587065255,22.967694276766757,20.346167090506494,23.59018838658761,21.584972627513693,25.922179979263507,28.314989788804155,32.73312040718606,33.00319632675573,36.867837340983804,38.471204222184994,38.52076442694435,35.56601523747666,31.62261294370462,30.236692956321562,29.525125543267563,28.787139521097558,31.309256938895395,34.28936231651078,38.191694870972775,36.14737601155534,33.807923168923004,36.88323964667155,34.37788595305744,31.413897562403,29.601326089906,28.71520526785994,24.825949119596082,25.365830848029244,22.923596567169035,26.49733292702874,23.68834277017452,25.577207789715672,27.892626687905985,27.315919216997393,28.68007469451228,30.372034069063158,31.072568350678058,32.5076439914243,35.28229261231861,34.561084378633886,38.90412032853563,39.83649151490225,38.01096620010324,40.09272713879632,42.15039578053537,39.04081380329584,35.93908255818448,35.74599500923064,34.02918154342183,37.14376557949848,37.45335854569201,38.0079362254171,38.03121480342141,36.27420657766776,41.01464133170308,41.71808696946569,42.11443888719808,41.737414370735344,37.36203690652665,42.14448741212386,45.066884661671914,42.85982095519086,46.66436634823625,45.99429943555476,50.33101857917265,49.48211914215109,49.48226958646267,49.32185988165738,45.93324994882571,44.54993669649998,42.04579814075408,42.05500910587698,41.91587228879139,37.02801499816221,37.397970132002506,34.2148411919443,32.08305625856069,33.50560387897609,31.06544136569772,28.11097725730001,28.876449100041995,29.816977760430213,25.285768163869182,23.797373259860606,26.541250280174005,26.22880008419916,20.658180681166506,21.80981664369659,23.40240423899643,19.515806395592517,17.410227445422095,21.275920413422465,22.62131349932961,26.166134151321284,29.028980707993483,29.126904220454495,30.99071048772141,36.3235480312558,38.80998722500658,41.26137431793025,40.76958618254128,41.140275522852264,43.23216756023165,40.77872845000749,45.54627205354795,44.54076111689959,39.466718676881065,42.62953118017573,46.478780404853005,42.90407207586945,40.955401619890345,44.31815278117416,44.660756372222174,40.254750541467025,40.014678701402445,36.18135954265952,37.91832540400227,40.21102073002818,37.99842418916857,39.3887398410499,40.35357369691547,38.01232265994234,35.22555040175436,35.27918900016972,34.713830054084625,30.971638127901215,29.77625781890017,29.982630228877195,27.256564520488194,25.18506661317597,29.250471453127904,28.039908380227505,23.27759163445766,25.832485734657833,29.63749084596716,29.98971338643264,33.41124513613373,33.56589268150558,37.59747647424365,35.40167395488488,30.97776692266457,35.564646660461754,36.84427114702473,33.67676798294659,33.683297661846574,39.40096521916474,38.026613302245956,33.50841807305833,36.72695236399444,40.9829808410582,38.60371863254336,35.41288364613084,30.89110116776291,34.854712924299605,30.950270695168584,29.886930157485924,25.156419408569317,24.582296965146497,19.92097810329221,21.21803908213764,23.87574597153617,27.590286508149536,28.57484655797683,28.97414327176167,25.813720952225655,28.784887521552086,24.959557814785754,22.327250322636292,24.661583437616954,24.664558239995934,24.250814411592646,20.67909971385374,19.337870418288297,19.197714935195915,17.92270434751447,14.207485113924179,14.91909208867761,15.526246239391554,17.037124963139092,19.527112750267825,21.621490339874715],[14.769821216347152,16.741283500157973,20.7759215576073,18.534346410643558,24.099775174330247,19.59972519500925,22.187051426717368,24.30637876506343,21.883286218275575,24.694615785250047,25.587144451128204,27.33480970041944,29.84949023623852,27.58861271373259,31.692709824386757,33.93240384359395,33.94758323531986,38.03917546365801,40.986335179372894,43.766487854727515,47.00680426900778,51.11897786930734,51.9745798604247,51.74984878041102,48.81639460633429,44.71411309746126,42.983138344520086,38.75601436637881,38.66233887952623,37.57719251099566,38.99145753018039,38.550174698771755,40.776221899124195,44.96095578383462,43.83307486799629,43.0007380051416,42.284660691239395,44.1733914332538,44.55467545359544,50.56315993855084,48.398537498822016,48.75988747014188,53.05045218181308,53.54064350937721,55.694303973329895,55.04028377413941,59.229270157790715,58.030475176036504,53.63072852589624,58.24332033724759,60.13378138953716,57.06153678510474,60.499134622050285,54.99955369029472,59.79931260387769,62.12660384166206,58.13803500624035,56.62331802534523,61.34381202421477,61.62964725273329,57.023433577276364,57.17589877200336,54.43352677991705,56.371005922461556,55.02816683295036,51.03811093852064,47.57112341279811,44.23666288903764,41.36968826547906,38.09689749626675,37.422525931850444,38.91363245119892,40.66630057718309,45.0797574089852,44.142999938470275,50.00135951671107,50.040334361718,52.04412408543247,51.77209868759808,53.88001662803356,51.92874056934577,52.54431760375998,49.14746466949897,50.525587993701656,48.51517991851676,46.501875358819774,48.18733825692222,47.6215478777208,47.29134174096227,48.87037538494043,46.21780934774804,48.13876029389542,44.19841612667032,41.701868481380934,37.295183301555,36.18480108330947,32.233908244534895,35.319948726015404,32.816628622247784,33.10774940616775,37.08412416337533,36.44665091941976,39.727346950198424,38.11645964962004,42.493150947959826,37.827468417348506,40.16829571727437,40.10615113449441,35.910518142116736,35.09669502682958,30.58107217777836,31.885318836439694,27.99909733450288,30.026129705779585,29.569864271194106,30.76278454083395,33.8406260140905,35.02377939170381,38.2991236936972,35.76729313798185,32.796528408203265,29.84626550466415,28.75846367733367,26.916769837850357,24.64309984961119,28.134604508292554,26.424135963709766,30.737185275426913,33.18434628745858,37.60813908241003,37.833481961830486,41.735308063674516,43.29536577866123,43.39151203321855,40.34594589332325,36.34381466841182,34.87597480557183,34.01243182042457,33.009198453795804,35.53249266823694,38.12124518621925,42.02465207141401,39.954784644152625,37.84038245181302,41.01446168566357,38.53974511397993,35.64383700201844,33.9226917143278,33.24837570338614,29.307723665617655,29.978196810084572,27.21763233250205,30.685691386558464,27.34173604366707,29.167557269599577,31.848968203446226,31.415085611935428,33.08953193867934,34.668573637459076,35.71777421449731,37.14942481900396,39.68028893003647,38.96320222762468,43.33821400936672,44.32712418166217,42.346898842585375,44.628906637287535,46.56161445025923,43.49870629611021,40.33176793914393,40.30979495344057,38.552978081784694,41.76836115448722,42.112309303769436,42.60312687371633,42.63581081250321,40.6706086747889,45.46569684475583,46.24918661570801,46.763976288866495,46.416970122862374,42.14860057974052,46.96215223067636,49.867148490289466,47.587726699866245,51.27799900008706,50.45039608213242,54.82879962170071,53.7938563958465,53.98620824980591,53.84280822730533,50.53442079849963,49.20525809315563,46.75144356254148,46.81391074654998,46.65722514712852,41.75601034359189,42.15312110753103,38.88738083062612,36.875379957538286,38.132880455235295,35.74573707799045,32.87374964217787,33.409282810659555,34.23240838026712,29.80160176372244,28.18730009188507,30.69222199747069,30.310542254508853,24.84032061498645,25.65314061331562,26.94808645385706,23.205218220373965,20.98677361110102,24.289318404382804,25.91920088268025,29.160433050335048,32.234246321579704,32.71335621784029,34.3815535011267,39.79963809439437,41.87114968351904,44.742742829886346,44.47218924985285,45.12334032969447,47.37163917332948,45.13177828659922,49.92003640924589,48.74210898288402,43.84214559041457,47.14526812773167,50.873995382902194,47.252600722855384,45.47390083913286,48.913417071114814,49.025095799964895,44.57653495094852,44.60624423823292,40.73315117212757,42.67507578880732,44.90227983989928,42.56643009832704,43.99215287660298,44.75975426225494,42.568983905391455,39.846898081202056,39.599366500111614,39.020628931809895,35.48524700144056,34.14221266505292,34.043509136762985,31.290105794924518,29.30477228455737,33.04758562268896,31.567166216060528,26.81261665620356,29.300676116617606,32.93856641881369,33.54630484863123,37.163038635080994,37.66568533282067,41.613373182288164,39.114672978543275,34.97392249931774,39.742733861340064,40.74913338663911,37.50922356310721,37.863641066722685,43.458076885977015,41.74812042276661,37.386725449758615,40.86045106250364,44.86869811524905,42.207511839660455,39.09342342870735,34.54907601625144,38.1374174017836,34.04471676621783,32.90766134589679,28.44356052044123,28.348992028756204,23.876992580121243,24.762038685476647,27.710744094695936,31.292210814116956,32.63288469341909,33.24967903475873,30.40042430596202,33.52510870315324,29.77863242328754,27.115321295820323,29.465543643717144,29.28308794441829,28.893289690732406,25.50832105527461,23.911901911520726,23.583901640478526,22.63314163213581,18.932108926831233,19.11761645784294,19.442298081404584,20.942760507283218,23.070804516411826,24.951985819735274],[11.445319293020061,13.88646945889481,18.546600860420074,17.16806468598077,23.13482265501823,19.58703023501488,22.904156063838116,25.374847533947232,23.886723827894805,27.022761839713137,28.484857817856362,30.086045703681634,32.24896038929672,30.439327031354527,34.82802848095773,36.737867686247895,36.45310892052204,40.78544587462567,43.68844732362212,46.215053291238085,49.53853280136759,53.447062016112085,54.35803411364483,53.88428554668988,50.819007838591574,46.89412845366399,44.95401055657453,40.80166422828605,40.96369541659553,39.87976748982532,42.06507583447424,41.161068638510635,43.71832602705625,47.988550287780456,46.488564900248896,45.57193684043848,44.432042891222814,46.16579213160745,46.20356982891215,51.98944639672345,49.84934059350551,50.69785396632083,54.959564925844965,55.15162567292272,57.30360059623331,56.34064441906627,60.51515415544002,59.43184113412557,54.737060115189685,59.043434162554426,61.03931167533105,58.20542353303551,61.85850175651767,56.421458512829744,61.36120926879083,63.848648510978066,59.937193290958426,58.63301718676335,63.471659528254655,63.664512614818186,59.29785182852848,59.80936624096948,57.24739832624193,59.311655714539334,57.67076243013061,53.62759115950966,50.48917028126184,47.222504294321205,44.52673623188369,41.46763246371316,40.830568245977716,42.639741157148904,44.34541903791208,48.54997396010256,47.49201269576221,53.44446654787633,53.04120751850051,55.12730199899636,54.495732984566345,56.29192263326625,54.10059715858914,54.26868158835878,50.7232434052141,51.722378608912294,49.65449660129574,48.088631131396525,50.17838734965486,49.7761227872655,49.822516386757975,51.73087331159586,49.33999718334884,51.62960083945038,47.730476002777465,45.15606662058696,40.62676501000092,39.88158124423021,35.794427536244456,38.410868828559984,35.59652983802634,35.53853979812156,39.3464853307999,37.96291794890076,41.31660243889214,38.997428735404455,42.95632145502753,37.9446790925343,39.78718564642485,39.342147207041975,34.93922923643753,34.6342195235395,30.18867090616865,32.16564260936277,28.790735160066085,30.899545574980053,31.283100270643228,32.30761135530027,35.80828745079719,36.77811643658299,40.6808445764228,38.36557432833724,35.39286168431095,32.3281731297839,30.668768642496463,28.5381430366482,25.94759472680116,28.604262829539376,26.390031301141708,30.533955173834595,32.54166234777679,37.209608002197335,36.77473339435084,40.595810998683646,42.44190574485013,42.939248385761054,39.896290318819034,36.21132861551082,34.06810572229006,33.92450493938168,33.33588563998423,36.249604865346825,39.008428738617994,43.172984680783095,41.52020089335945,39.183763481240675,42.433957874503676,40.16362226108543,37.09491980951031,35.4628665563445,34.40933287980342,30.65450439878189,30.845416523813586,28.66772222082349,31.858021338916267,28.915977317284977,31.310067177736475,33.70914811275445,33.34219295034602,34.38272800262791,36.35081043436792,36.56984539945712,37.88602166992043,41.02260865201875,39.90975948595677,44.351590361540616,44.846043499064876,42.57502947694086,44.47242873946502,46.14133989847358,42.737754397349406,39.930391899291685,39.92207830101362,38.666631424234176,42.09268432821941,42.65348983234245,43.49447593556549,43.57648669992342,42.140370048985716,46.7653872841717,47.36020836701779,47.545851529975124,46.95158051054406,42.40403878170584,46.8868595095207,49.687073452677744,47.61816551234262,51.73310055345992,51.383501776050174,55.46925010897664,54.42678133715555,54.20689947794287,53.70541851062282,50.50897175856815,48.696055427840896,46.00739410452617,45.779665752616765,45.19204468668661,40.256131563057245,40.37663856337887,36.770231805882226,35.138288925888475,35.81216529376854,33.78961730182077,31.093123904257755,30.878231734986684,31.570847800933556,27.487132239063843,25.44124721860252,27.50918245811362,27.408417347477982,21.952032932584597,22.153115318975697,23.27952354065592,20.018755322326857,17.34510237782697,20.022757086443555,21.775487241425328,24.872113779583135,27.918926973120247,28.75216480897595,30.305805467076137,35.739905175329035,37.535833966953895,40.72303064829557,40.825108877777396,41.734251100294266,44.270917448502374,42.4203999440737,47.11736982999752,45.535758888566406,40.9114141997219,44.51579900662341,47.9044179484007,44.196433034046684,42.788531129318365,46.42343232992281,46.06686242243833,41.57202242117985,42.29613868003625,38.198365636967765,40.73266727808654,42.750921427609555,40.238441616733695,42.04829983726971,42.72245970022721,41.03323893766721,38.012867025975574,37.40719560686659,37.350789480860925,33.97628298874698,31.990475469821927,31.96414105811406,29.475094407946933,27.015847227646518,30.351265862225485,29.076652081560564,24.32428822362403,26.121143177317858,29.65175550615573,30.133761985786318,33.979003500147954,34.836411073198406,38.5182777933236,35.584716284469785,31.669907838055437,36.615775195409086,37.16197849346455,33.81550856866905,34.598541532251176,39.96450014518394,37.83254167812543,33.71405231645208,37.52824024321013,41.15684604261635,38.22966337542857,35.289151146903606,30.828880200071602,34.10825416530733,30.03301744060089,28.574435477407658,24.495299845443096,24.716269754585856,20.591527472251894,21.323132279105113,24.54701047390858,27.998022575801826,29.731839086623726,30.34310353303846,28.29239941713583,31.72384237149796,28.605470139821975,25.50852839341089,28.31508431956018,27.89843546250967,28.292577077077578,24.7125032562329,22.375303569187086,22.737609553604504,22.582235567148345,17.86795344035338,17.81591090781168,19.184216491281852,20.797452404232594,22.92086567876758,24.823342312679316],[6.0698875463204685,9.113484372945349,14.088784608313249,14.309324926949046,20.012937732856887,17.01812208235861,20.948124053831584,23.317200371345262,22.97924294527057,26.606154028543248,28.521544905834403,29.646608992711652,31.632159736883985,30.647360667760235,35.07943883500089,36.488106875674944,36.183069596455105,40.76992238277976,43.91526567246262,45.933573102934034,49.49085902367589,53.0736938275599,54.25703344412999,53.69861048264728,50.36770067968796,46.71088698497626,44.34099308177022,40.25836380110262,40.38635541089454,39.040843059019,42.048162507151396,40.39818290262154,43.21250110180478,47.61410086799771,45.76431043104212,44.97385063141597,43.23296022219485,45.10657624170525,44.90424172364062,50.29320811613583,48.53597622190155,49.86231831398035,53.97018243254807,54.02785459702846,56.383377238017445,55.284186507660316,59.37547997906839,58.14537397990798,53.204985949621594,57.25502264118295,59.08863210621292,56.41298424381363,60.10864069793259,54.73709642324933,59.58275826205316,62.39736791618032,58.70287279525333,57.411677135852806,62.35058562275255,62.697332958664354,58.625443398590605,59.38675656574422,56.939104872994555,59.36461033329432,57.490569055787304,53.290362159566484,50.75988518577283,47.421250105836315,45.223158471842275,42.27114322044614,41.93867274799118,44.2086731150072,45.5160712531703,49.48162439749248,47.99381960412382,53.913697757749816,52.973651984350575,54.9476639341568,53.92354742815558,55.432407571215435,52.842013858137335,52.610263719165076,48.7692618306958,49.465334965957105,47.564301405122414,46.38676407507411,48.960917762270476,48.48400431581674,49.156691834623885,51.20532337640457,49.26894648112397,51.98993105650196,48.13499643716715,45.37360940123651,40.80147367006887,40.50116162791496,36.370111761357734,38.1586424326298,34.97372986057841,34.360816264542585,38.01162715797033,35.76461103150268,39.28297061970957,36.24205688001288,39.83613013013807,34.64929678582793,35.94215221808415,35.345937504606155,30.85341303810406,30.827318227405044,26.65855057328915,29.38538123448571,26.63844782503405,29.10905413476274,30.385791540947583,31.5746769029391,35.42450161937609,36.56645918577124,40.972189992634036,38.575789391490176,35.85410343294009,32.568608537366124,30.719990490937676,28.10291562527457,24.984813362909318,26.776308958387837,23.647162765966986,27.637610245551578,29.09489732817094,33.77538600620975,33.04376128146022,36.57640938520404,38.84364019835227,39.409310174120286,36.74830467055362,33.470280380426864,31.086797176997987,31.73860026394864,31.830569058481387,34.8610155885383,38.201532989705534,42.400342318432735,40.94294277486392,38.25146770968359,41.28770535617649,39.016368168932594,35.87815015751745,34.05381252498608,32.453798290614216,28.85384819904772,28.31866545271677,26.68505105228356,29.36730105152946,26.940511467773085,29.887464332718586,31.938196431406695,31.787207918390436,32.12437966656944,34.6233566221672,34.05324968826847,35.57719310445675,39.30164296680089,38.20250954796537,42.4993556039249,42.74421567915656,40.6567619618066,41.97032624244328,43.67922628289663,40.004315301968326,37.592292164579554,37.29253168083769,36.42756337683962,39.674961097836,40.184844490214864,41.18102808342219,41.08133597059827,40.195084279317754,44.45637416773343,45.077478203954996,44.86333964773829,44.33164432613516,39.40570654124805,43.67600730767437,46.48052688110541,44.742709225125466,49.23948617394772,49.36334967654761,53.25207767392626,52.58063848596588,51.84376961973887,51.14026894615283,47.87562541322644,45.696684908859424,42.76680445671956,42.1891949794177,41.25254094745319,36.3520455280708,36.03718066071021,32.21699970896487,30.612101629234086,30.763246168811513,28.808345012745423,26.424329851028023,25.853406779177977,26.196149743278607,22.32692580104305,20.494128617867812,22.047928442222844,21.78255119862841,16.537185538520053,16.584017074086102,17.4579325725183,14.311140985353855,11.723993020059995,14.33008998482879,16.329403543248286,19.125765938793947,22.655638253558564,23.187451842206382,24.549430845163315,29.994890162298407,31.798907678726945,34.93528687623889,34.97020463266914,35.95320410502041,38.54340165796477,36.85610291522225,41.55136617251481,39.896173297696684,35.47574000904365,39.15868124852492,42.492938499481326,38.90386096996091,37.67886034242145,41.46459486649499,41.08323163048411,36.614735911682004,37.72909287769419,33.31568957959515,35.94088238141885,37.69753589793944,34.949594408696505,36.871031883206754,37.396657780269805,36.04316994066288,32.93337837311056,32.02274234941338,32.258415884354605,29.063719488583402,26.68812788329691,26.671321611999716,24.38663328042601,21.658088716829162,24.7587279345135,23.673907827038867,18.96076328756824,20.386342943786758,23.91428002200473,24.300666664911667,28.185103057867206,29.173229279243536,32.75845909396451,29.735123848428508,25.949737009373546,30.97687955009003,31.441928514929813,28.142962771580596,29.17910919080421,34.44317665166785,32.35701716633863,28.477452664402495,32.40409236157388,35.921004100671176,33.14067292877113,30.39834506710722,26.12383871626095,29.62728859631492,25.911164042998987,23.896458620773963,20.060746574887315,19.762165974141414,15.788067705278298,17.312649681499764,20.43886772174672,23.958322496830682,25.594596888473568,25.651399802338158,24.078809204094462,27.430973827889964,24.92101642905179,21.235829810163537,23.992300058477326,23.236393213778808,24.24561930881361,20.80960335933482,17.764640779070913,18.60100690335442,19.349733242157814,14.019381219378756,13.542742121195271,15.836221591716706,17.496712274165233,19.636437789078688,21.500998606201104],[9.396610939363534,11.685870902007347,16.536980202547177,16.013024363237246,22.030631243709795,20.088777582387767,23.877229998252815,26.807050504560713,26.279185277308944,29.431464602298078,31.505130601540206,33.104836528764594,34.6216547712827,33.205745304196135,37.88211574396418,39.4344985312673,38.67640258506961,43.16666316666297,45.86340891068838,48.12747396549996,51.444543364848805,55.09560507283592,55.996873829184196,55.203097445969966,52.05989887915522,48.37741079204407,46.29855598722401,42.32182961956688,42.87520880786617,41.94785501985465,44.961665830905616,43.70725292020072,46.67284335877005,50.90871584373266,48.95640016911488,47.82885029620176,46.322259851785326,47.68206054106131,47.28777005537692,52.792084280577726,50.57498697820116,51.961741635031295,56.17175734508828,55.966260397234585,58.02935212341086,56.68573537243501,60.81032378122509,59.9402059835795,54.962862333135455,58.86166370031436,61.03464870389063,58.52628460502855,62.44205850853625,57.14300294350931,62.28378231015017,64.8455500978175,61.008916389612956,60.04884056854236,64.97316500037695,64.95407011728688,60.89277848191931,61.86796742800536,59.58332071486859,61.684846493149294,59.677373341371805,55.659239435059376,52.85847726189565,49.771795474183094,47.22056809041822,44.50498277536767,43.84585621243109,45.98319823219296,47.69768494662237,51.593337895040335,50.506694464064175,56.55148983179689,55.63851827087223,57.900685785477165,56.84781415851236,58.228558305441005,55.87787103630918,55.50012630550162,51.944689381853,52.44890307727875,50.234360238067104,49.22514322085302,51.68974730663352,51.62214869240368,51.96507306370639,54.35380758397368,52.21098915538248,54.90702914429642,51.12332070193905,48.572251611846674,43.92662560705876,43.6312212133352,39.4076098808112,41.62533714610266,38.5864231348641,38.41073716818992,41.75144835443358,39.70640695361003,42.88178339137668,39.89151361270189,43.2238508042686,37.88012759887917,39.21229914610741,38.21879560267319,33.68440344289292,34.07313772126964,29.753470164742797,32.271050190163784,29.55270788326158,31.498220889120134,32.75090177484095,33.437247737152276,37.304017713078686,37.91499139320381,42.454969992444525,40.51142805534497,37.54738230574277,34.47524027766902,32.15547491113973,29.85176562149123,27.128928409162246,28.744955780879035,26.29993037488901,30.01138863712792,31.521183702667518,36.38812805392483,35.10278392911228,38.84183364414501,40.85666324371976,41.91778145254596,38.769914323574305,35.49452810604207,32.54807986821048,33.16345764089319,32.98093462342572,36.28842208488084,39.0676022565101,43.46873358349519,42.36313999287676,39.87043789501921,43.20787638219994,41.29140233372937,38.082894466709874,36.72177647710883,35.384857271413985,32.03102184264781,31.894427977888032,30.559072266370443,33.57162639757809,31.37906819010986,34.10759720592388,35.998641307151644,35.503229590092346,35.84823341064843,38.01701003788123,37.291319757558234,38.2362754452057,41.94224896391723,40.25748809167532,44.740148559314655,44.59695545290561,41.91812133592207,43.416354691295574,44.68541706600424,40.969438597979185,38.602688530222046,38.69386309667549,38.04593646653747,41.7427266863539,42.636547822035055,43.92982803713838,44.204713211013434,43.371674798221896,47.828672228725246,48.04887471216093,47.924287866635,46.89763625246611,42.22440477029058,46.186799628777045,48.76767004324404,46.900643929484474,51.40660968333567,51.582082085192454,55.24801968311371,54.089768808785344,53.45769677875493,52.533705367201186,49.56519913459196,47.23426506079797,44.35431380759039,43.85933710095582,42.822482251711534,37.926387064661974,37.848281556972445,33.945983318354635,32.9249085020685,33.03001424265116,31.63252198544059,29.06802776931394,27.90476893368672,28.67190873571211,25.157083329374807,22.31836311194342,23.99766184943847,24.634346355037653,19.203322625641533,18.498153215189866,19.686509536696846,17.382851198784657,13.87374783635247,15.60053866869502,17.138134673156625,20.414777974021657,22.807498731763545,24.22297819817558,25.859813145086417,31.20414241281467,32.869988165735734,36.271501819724406,36.91414495925247,37.98222839989873,40.842444275088546,39.40841831672692,43.86884063300067,41.78901047068518,37.40995897355156,41.33282597314415,44.22399199828798,40.35197144227042,39.34977220277834,43.107507618862655,42.13980006414974,37.63453805539025,39.08425559379019,34.919031200923506,38.22238772143325,40.07448466172388,37.56441227772862,39.90639867676048,40.674356709768695,39.5222299628264,36.06852213587605,35.31204577079105,35.97820914514071,32.691353433388585,30.016337552714194,30.36933167499967,28.32800541641531,25.219008731352606,28.11109427968855,27.36720783201277,22.781139829320768,23.47495113938237,26.863119601257633,26.915415007994035,30.923077646329855,32.02492578631888,35.297941590661715,31.926076806710913,28.148756437454253,33.13220704849557,33.106982759108334,29.61957813974055,30.72448065472216,35.77964604073342,33.13664588209983,29.203153275229678,33.317258533730985,36.49997125512535,33.23709134751824,30.436096452864216,26.0773731805224,28.893760396274395,24.81244678525058,23.17771978588671,19.535817912520155,20.34282118452085,16.856244270823492,17.043935470337793,20.51268155251299,23.65100294687129,25.868054743344562,26.652482817720717,25.613812215682035,29.396186233907393,27.07318583379129,23.801823944113035,27.280317041321773,26.839097415405753,28.13722864394961,24.243183368218283,21.40996908647545,22.79718108927511,23.20415748017292,17.687697002020005,17.814146596747857,20.39948826364576,21.988806530161508,24.104217317039055,26.043818283900595],[9.6424946932367,12.198642582369452,16.96942799550835,17.807876659703084,23.417446543034618,21.977303134876525,26.0520331415244,28.769468677787337,28.87775106498198,32.32189808676142,34.52453329943716,35.779389984526134,37.34779029600327,36.37734606116861,40.99727585078154,42.30634348599426,41.61965220339377,46.218366581412845,49.052511362971345,51.04620923849154,54.479393517232666,57.94590896900588,58.98946610549976,58.14214382598676,54.87235592809511,51.351670630010815,49.052297310706926,45.13436152062183,45.64431168438912,44.5342584997289,47.9176051965765,46.23243806132714,49.25100026501312,53.58732612770729,51.508178584984734,50.51760265807272,48.660622327099496,50.15681825562556,49.631879568952606,54.85214991597166,52.88972361935427,54.562366923281935,58.664238857838626,58.372060461139235,60.535623291086914,59.08500069780917,63.14346052975878,62.2175712437303,57.09301687922913,60.777149773082265,62.86125036595163,60.48800003557449,64.4247270235247,59.19248647253061,64.24110507900538,67.01748031304146,63.333688451944866,62.37159543558082,67.34163241291463,67.42864201837868,63.55307096244575,64.65017968690104,62.411640797911694,64.72196011298281,62.61186913428805,58.51250194368672,56.03769142745838,52.90403233678915,50.61135806236063,47.91863165475958,47.41540256048594,49.72202266181185,51.246201555906644,55.0573752988248,53.74331717577278,59.74014753981293,58.5902865535267,60.74020935889983,59.50680331089223,60.75133900756294,58.148198129842186,57.547801680581685,53.78347835791547,54.10532515114649,52.037907579032904,51.28215316126411,54.04059639334299,53.872752923573536,54.61059750906626,56.99450200918973,55.11575625736376,57.98934415572287,54.20904296415069,51.526055921505645,46.90205774953661,46.75364224055091,42.56010723301435,44.32297347057169,41.09137932260965,40.45478379015852,43.86038015506013,41.265901914421114,44.63677503764335,41.1761455503312,44.25103015769613,38.8457124327051,39.667222482863124,38.55774245135323,34.00250765906501,34.644707790004574,30.66278464145899,33.743734745707265,31.501506938924784,33.6728690544902,35.4338195276237,36.211892461185364,40.23440810531524,40.91402687123756,45.689728488334715,43.714406219342635,40.88700020747367,37.725926814543726,35.33884988914288,32.819582702989635,29.851072927159596,30.924374048382735,27.915834744252734,31.427147295776436,32.45340355410618,37.26916685784161,35.665687526966586,39.10060169123835,41.46794230851525,42.64120016730239,39.81453502312593,36.91748582573352,33.71922714647246,34.95969283723057,35.22042322308978,38.60772129909666,41.653326784203756,46.075285705186964,45.13465604823752,42.46449585117748,45.66541681419417,43.76632406692663,40.54196474863297,39.06051770999999,37.38109406535527,34.128038690224315,33.45991621209407,32.3797449714955,34.8879252166312,32.81010243933278,35.961540011959656,37.77872243953793,37.55817510117664,37.49299414079657,40.050232731599706,38.85666777722622,39.9818519652378,44.0488104153028,42.385308987662455,46.74322343414771,46.39762021229223,43.79052595269626,44.858720598788054,46.05181853954005,42.12801268083693,40.12934109558091,40.06951204992625,39.774359615227546,43.35349853461745,44.22383351386126,45.617741660947914,45.73304204335606,45.27125480534007,49.42231803626126,49.71451271792962,49.29233175523885,48.33881612702833,43.40842182431081,47.153391491174794,49.70091236621517,48.115459737248116,52.89575194174949,53.42315403946609,56.91019207106203,55.97291941607091,54.9698867593943,53.848892404585534,50.89602437704137,48.24445423886852,45.182530156529324,44.38022445846835,42.97289215350116,38.168230595495274,37.67690765605794,33.548925078282466,32.71804728271486,32.13313424358027,30.938690370933955,28.816212373760052,27.082144552739752,27.38754133730144,24.36773160880765,21.676597513552604,22.493275664649886,22.986686800830874,18.199910846674065,16.912183010977063,17.445007383572108,15.83426462063519,12.534687490662252,12.961377175426755,14.933431015967695,17.325894330814904,20.249577487680316,21.834375929853703,22.999104997234205,28.279040007365886,29.43568429312877,33.21476168497095,34.10074007330767,35.53112432454363,38.59035070147298,37.59858272703447,41.97742189071117,39.62653134112238,35.72738854407346,39.827469358069884,42.4540100892104,38.69741373926965,38.10121268690793,42.03453446692776,40.78457810582693,36.339507371423544,38.475266340934304,34.03020420062198,37.60621408165286,39.09855038746362,36.2948602736222,38.787553235524456,39.23917044014365,38.610171229225834,35.1481997909551,33.84047632149497,34.84076862003298,31.974511428520834,28.820688636933195,28.95559421171091,27.20415959019316,23.969471585081397,26.16440568773778,25.469236461087657,21.185661738801834,21.209589471600133,24.240163987247648,24.367898795370532,28.50427040033078,30.075078993945645,33.030793030671575,29.278504140529996,26.056137633168213,31.15442667982257,30.69222091044008,27.25033642896915,28.984016362658032,33.646142176434424,30.690705534337436,27.305985982629156,31.726594221815837,34.421234830911246,31.0428689336953,28.624847080696966,24.59225342719211,27.102521884733076,23.338645290087207,21.00347763031538,18.20533130419774,19.030693052516735,16.26889648071919,16.742454838965795,20.187403561144585,23.071994970907706,25.48827275954306,25.898781078625895,25.720082312986197,29.44951237437076,27.843715083272528,24.13226628630164,27.48346672640144,26.619685562412066,28.473558951136592,24.939681390125266,21.453666601513746,23.074715132433152,24.39652160054765,18.680856304705326,18.15571993488447,21.127842466980237,22.651523941965213,24.4514460082127,26.19894168779835],[8.843006428254016,10.186986406479374,14.452595731758006,14.941382054498076,20.43013370752851,20.080646234911022,24.057578398437023,27.22655299572845,27.607422182084193,30.70864499417795,33.26593672006881,34.77500758351069,35.694729504421765,34.75099188119197,39.558110024672395,40.71867269911516,39.59655175169199,44.178723740665326,46.73505456207204,48.65618376552081,51.98251178035026,55.326029790736264,56.278268939774655,55.239759944115164,52.00326103951883,48.60952450639211,46.35217545853904,42.58438038097866,43.42033114052069,42.58994821650775,46.354023601569935,44.73029826241042,48.03551513379327,52.20159738679805,49.842859749736256,48.57100658649863,46.70117105520389,47.75757984005784,46.98714068307117,52.13118513336369,49.9527606153139,51.832030021264494,55.92510447133941,55.39273093836942,57.41784212159947,55.7771819939571,59.80741477449093,59.065003473613615,53.869309184012,57.37221758646392,59.62310374510424,57.414836479098085,61.506669282441436,56.37564589237377,61.613721685678385,64.26871950698167,60.5611710307597,59.88109594685318,64.85181469343722,64.69604224136502,60.96210144088556,62.339966603151,60.3152719749212,62.5022607148113,60.17898062059282,56.18230376392837,53.802129883715786,50.86896934504304,48.57142066053995,46.17286816021929,45.579822192410084,48.048996334019186,49.6495780411582,53.21346305974336,52.01994208961514,58.07583861932834,56.658843061809634,59.02521150950458,57.57246443756189,58.55614776551762,56.03956446059239,55.16126192917152,51.604316981045585,51.65566940949843,49.36578035965889,48.875823247292615,51.684374779245374,51.88388478931133,52.55354149574021,55.33630212984572,53.48743568365144,56.56400557997191,52.919998220218986,50.39066799396674,45.69671800495694,45.84750658712025,41.561115310671376,43.31315962737354,40.10277468478971,39.825941607787705,42.64856079954229,40.027739252106144,42.97108874865611,39.4177767325004,42.11078278308267,36.57470636710298,37.422309161100536,35.95314704442446,31.403952710362066,32.41360043494278,28.340094542924195,31.286919259997603,29.276661037000324,31.06864616203865,33.115940298656625,33.56108799835185,37.68149102356812,38.06451047987153,43.104180593576196,41.43986379254643,38.60082062660634,35.53867482355777,32.76472786677784,30.28947020530255,27.461061758537888,28.045944616574047,25.3814420156038,28.559258354864262,29.53723117866996,34.44700691453103,32.446389920790395,36.018405374387356,38.17819243220848,39.692249650265424,36.55919559412869,33.74613213412134,30.19210238234206,31.547990781837143,31.83961365795689,35.380398810574754,38.27076869854604,42.76869068511317,42.12190125695164,39.47172212172859,42.763389326493055,41.14996148881408,37.88471111913935,36.73360440971577,35.126938154819676,32.221188496375724,31.767740093783086,31.253498669917455,34.042214095922574,32.657840382758415,35.56775501015763,36.91717942068786,36.301655200066435,35.9926015216059,38.305716229961476,36.72266974544756,37.35171089755222,41.52697047034738,39.42628578331002,43.83485275324312,43.15498854294325,40.25640103197211,41.299174568777076,42.26470838222575,38.30835845588321,36.403267888847914,36.49939230408783,36.40999730781775,40.21023673554846,41.34507715188282,43.005586380946966,43.42041767534097,43.16353840241673,47.379744921191474,47.2762929164548,46.855424703810364,45.488900509640324,40.745925256669594,44.19213413400664,46.56196028995151,44.92495817724586,49.74244452208926,50.405556674736246,53.67300389246687,52.51841680502202,51.47441849401865,50.20524229752823,47.42342988058819,44.65832215112453,41.62531652328962,40.87285263991189,39.449401279704745,34.65817810076486,34.37536965669265,30.280875462685206,29.80735322594702,29.429899683222423,28.6351792966952,26.23004036589516,24.24949866480968,25.12939599508236,22.23712761003454,18.716419294542195,20.0379902648501,21.482975349304024,16.244394736661196,14.692728594895847,16.094073127756083,14.915608594811742,10.732193017441775,11.46452850645654,12.457158583663674,16.14749439072684,17.590666684096693,19.443750364052597,21.292193579440678,26.469081331496366,28.24577608176446,31.61130588390648,32.648369729064555,33.712395363935556,36.780933206692076,35.63889975134419,39.83737143130552,37.3937075408134,33.187710190375846,37.31144705347859,39.78359351975567,35.79925533719581,35.10546894300718,38.921764938465216,37.4999341120158,33.01993607242941,35.03184428176073,30.85057507518997,34.7500264442262,36.45297289353566,34.02986206343942,36.81336320515076,37.742385871711846,37.019088394465854,33.20766542194784,32.45984733163204,33.76883261776351,30.547299606882408,27.369343289389963,28.203191254475595,26.643588832781152,23.0045106656956,25.531412844720702,25.434688230039562,21.18373632963868,20.813161738302163,24.04646544270206,23.53320062780013,27.521627949601466,28.66361379324654,31.54103686530598,27.940206716015854,24.19301605223164,29.0602817642215,28.610005205973717,25.03661827332821,26.278281277642964,31.062370372812364,28.0916387063428,24.26232647200002,28.542431588587785,31.409005011428615,27.95937926533391,25.251709542194924,21.010104103421995,23.564504449442747,19.58110223185009,17.755389305740923,14.438061463419944,15.660494448633221,12.956310921808324,12.70691503208144,16.230074486410256,19.04423197719876,21.573664177324165,22.403388503716265,22.314386990656846,26.275963097797213,24.777892369130775,21.4628186889825,25.432571615087404,25.055188203766058,27.106252214384277,23.055502456303188,20.00662274562814,22.312751122703162,23.09092582156166,17.284450005667363,17.7185376882309,21.19581448394643,22.644189875604503,24.71427683953851,26.655999927018588],[4.900869409876606,6.368378899156585,11.07871966574728,11.636873711893676,17.226558021471583,16.116434859075415,20.174492594888473,23.157480094617835,23.568988124272884,26.861366639484185,29.368326136459885,30.706937947341938,31.7961612586747,31.03757327246657,35.74381753611987,36.84417273950112,35.94248595848373,40.58047810713803,43.39457928120448,45.210614635141546,48.67683462757525,52.02206941365409,53.13272678616307,52.266328316155644,48.92075068072739,45.49682084664468,43.0852344968382,39.22034157360585,39.8064165488666,38.77036126843301,42.50128433396262,40.729975607655,43.976328682481316,48.20455346306311,45.90219707803144,44.77972151877796,42.84081009367458,44.16566238190212,43.54344309928313,48.71000430486473,46.7566518849935,48.52578691271781,52.591243291486286,52.25799004543503,54.466336277701295,53.028807594101615,57.066840511503806,56.079903548789524,50.93941623113139,54.63395713973697,56.67710333360679,54.30028333173645,58.24733751662261,53.03140218204782,58.120304285787505,60.882322084619936,57.21583421841559,56.32204667409591,61.30096948591895,61.352548485484064,57.55606568074511,58.775090615022236,56.641703842182444,58.98794347331386,56.76251708093134,52.66020562200979,50.3857700387218,47.3026714396727,45.18235512857817,42.6453588032735,42.22974375255724,44.78260841670001,46.15602481065716,49.76115241067714,48.358409212624565,54.36056526186456,52.949350045662506,55.180161051871096,53.766813609393196,54.850778799083585,52.24714589171508,51.50884846834338,47.8303175330381,48.046976489278016,45.900641163616044,45.23162586034955,48.040940635193536,48.0291151675143,48.80396741110339,51.413919979740655,49.6341456293464,52.71707588042744,49.041205122806,46.42588178612488,41.75609319241042,41.92542631852536,37.66864010657303,39.24773412211153,35.9895025235954,35.62748244911965,38.522441314138305,35.918185924031135,38.96894202224585,35.50218750287946,38.431073375308216,32.969114339468334,33.991085414198956,32.80576613741495,28.248190663598407,28.90956051885674,24.75540609358298,27.674009484633284,25.49935366540012,27.566025078692345,29.54041054420251,30.285295163265218,34.3912387375563,35.12128712487557,40.04814313376972,38.08990036239346,35.37620796452711,32.177015634902105,29.69592896869884,27.029174733800758,23.96501553589537,24.78222714482492,21.791136551923653,25.256991475460293,26.384761505999595,31.24224204995348,29.737945286134277,33.32359800738719,35.53580384465913,36.6630284255784,33.72367590726819,30.743085666737997,27.663356001185548,28.832594799622743,29.19127213860379,32.53361703140591,35.78759455761306,40.151747143554694,39.200805888765665,36.440589375293726,39.57810461757276,37.71694173315549,34.48278721632684,33.0670863120179,31.37631041731655,28.299518052962405,27.768836432542507,27.093726652022376,29.89198630889816,28.48975969305767,31.364414783183786,32.72944115770943,32.17645860162869,31.934879407727372,34.323349828776394,32.924261426618024,33.84663343525126,37.95843368362402,36.2206773907693,40.56591027599724,40.2160202066115,37.71213743271869,38.775687824470864,40.116725421449885,36.25040286884961,34.15132649918931,34.000413061178364,33.61926548292019,37.16413101065247,38.0509908165036,39.49654550461066,39.73484832812135,39.34248981916858,43.550452027692884,43.65669321169023,43.27343922975928,42.19131548967591,37.34481109080284,41.09493385692245,43.64556863185238,41.9846715701889,46.72057900196989,47.23229605982702,50.72830210024422,49.84670742929532,48.85188901549141,47.81655756650246,44.79366755855434,42.252110994409215,39.236163561570734,38.544323701751836,37.351072076341296,32.47983636506375,32.19952155960593,28.235987768622554,27.22476629417942,27.215553359255313,25.919181904820864,23.38637604551692,22.088143154548337,22.917672159771595,19.4698846630944,16.51820152207708,18.257919095641537,19.179583283127283,13.552342573554366,12.85404669747057,14.494628548719023,12.315730253191676,8.373439924616331,10.798834619960616,11.946466316602672,15.853287692499766,18.00329183769064,18.951066484393415,20.87696515401503,26.21085119230044,28.430661891237257,31.35364032936416,31.78684634799744,32.57304068502626,35.34213939685493,33.76313217508048,38.19494490645772,36.20286988787607,31.673162211919006,35.54982599265724,38.510074036275164,34.66501626239921,33.576471490418854,37.34817039800124,36.5326176374608,32.02878471735588,33.42905679571969,29.156142583912427,32.438211333565036,34.26265238873524,31.80536515001666,34.24977681576319,35.20502841271702,34.08306860293175,30.45170508643736,29.903465102625663,30.809487599508593,27.388976652821917,24.595791864128802,25.38252907198831,23.549763894020668,20.10350874925213,23.190565831785147,22.936851465839382,18.430562913888732,18.791431131858552,22.378607946721598,21.985375423042623,25.839811207190042,26.622811759706245,29.916190104272857,26.76869432727188,22.63745789344667,27.515102700942702,27.690066451725816,24.21274807114799,25.044432298572648,30.25621399476531,27.913735298555647,23.795288390975536,27.771829066325576,31.2088285255218,28.2387185222746,25.36507660545741,21.003940346474096,24.393888839657166,20.601474834243316,18.801707304119205,14.784508691944655,14.880796247389917,11.173363476985198,12.131145302423453,15.392214429825636,18.76609180782436,20.659285109691616,21.04114826069385,20.060570781082774,23.78138900523833,21.80669227109462,18.31488494606263,21.96993381546206,21.61050055038279,23.320557826139193,19.288236674079393,16.349404784306707,18.422808202256093,19.009346873030502,13.223808664007118,13.790322273269949,17.197124743107825,18.697098784358026,20.972482514021063,23.004888491461074],[7.3547344349159784,8.26988746898535,12.640839368987816,11.590599788976606,17.601712957454538,16.48681464390409,20.218085889989457,23.556277992597582,23.380377306881034,26.272083581540876,28.734062979284385,30.502823524138524,31.39722003970938,30.134700965243916,34.97718657016586,36.31748199237308,35.196706756061594,39.71928092038441,42.262812566993375,44.37585924828424,47.66640833065209,51.17555644503908,52.073443783374316,51.15328034649989,47.971930128129756,44.41658122066451,42.28043718117577,38.41144607583418,39.19290335221678,38.44877482251242,41.8999594070087,40.59341805216127,43.846197098949894,47.944226904130154,45.70461583647857,44.361247057636575,42.77087452701517,43.80569532562933,43.20882113402313,48.625648882948326,46.30905869752553,47.891326312579295,52.07497798016129,51.70370458687545,53.72322903148647,52.265466384749594,56.364991028003686,55.56140678193142,50.514971813303966,54.30061902914775,56.54090068666331,54.13481311001645,58.14876192683504,52.917099015187254,58.17940824953474,60.68988039677447,56.860905807049264,56.093224261544634,61.03147208957245,60.868247930703575,56.942549105675404,58.15355200762412,56.04510287472072,58.12136786550994,55.918885474764465,51.94277947073221,49.325814908224935,46.369555866106275,43.92203526759251,41.45371363287453,40.799635791390656,43.181899392490564,44.84901082194762,48.494264360722326,47.40669094863698,53.492102351371024,52.26750744511576,54.684225803517776,53.395125940638486,54.534043023966674,52.20308953828192,51.57614317050096,48.157850841160005,48.44099380063819,46.07249261392572,45.279510340228505,47.82878536848661,48.03882403187366,48.40130504027106,51.13372943361339,49.084069323667514,52.02452766367104,48.3676046175322,45.921730361033404,41.21028728323363,41.26485421311546,36.954240572073815,39.027024392637244,35.96574948769217,36.08655613205153,38.844754810356925,36.72690683376979,39.51780179926233,36.43121205564624,39.45143266876731,34.00866079465992,35.41171211886504,34.17587978807972,29.657770404762626,30.274751943053502,25.849555430029902,28.231250683896523,25.700982332622928,27.380752921752045,28.943740436174004,29.419697711056767,33.41689303447581,33.88300009778671,38.69563214285768,36.935729159582145,34.021361133344584,30.967080299364195,28.34335479391914,25.96310331082051,23.249303810678892,24.431765142439808,22.18753370209997,25.677839468500085,27.19415198279343,32.12672942858799,30.650984344558868,34.5143141135708,36.35571753285752,37.5914344410767,34.23793665983466,30.986860775086424,27.880775386138488,28.5463420061684,28.444744156814863,31.841305317502968,34.66105520108493,39.096222564771615,38.16742419929675,35.619025330470706,38.980026696812914,37.24547455997722,33.996845104972444,32.85231635573455,31.527760563827222,28.467939885252594,28.492683547734373,27.706753051396323,30.975050264295756,29.526120078206894,32.017774368808496,33.40668714470837,32.54406698073717,32.62580796426954,34.60150025241787,33.51305933644515,34.0830848506588,37.90498573364054,35.926445301448354,40.433169642900246,40.08072918162916,37.284379925542545,38.741480209510065,39.95024772829645,36.22813670701574,33.88145646388888,34.0100667705732,33.45485026632978,37.26247198958398,38.31563965831436,39.7957017747102,40.289324132924776,39.63875484974428,44.134477972328604,44.04589320441208,43.91484092141545,42.597780062212884,38.051708190791395,41.82997844655534,44.308728856353376,42.398242147363966,46.92743612402864,47.20205243984781,50.73631391416949,49.500615316792,48.817373575059534,47.83513229400475,44.927286853181904,42.56130396425144,39.7074445272795,39.27337330248819,38.30661002500424,33.40423299554586,33.52025178629533,29.72152558987771,28.825425455702657,29.275285557797588,28.06857306077571,25.201667273962432,24.097932577710527,25.379388522360426,21.806914184871346,18.449556251029183,20.767594795781005,22.062410351868923,16.170485470707106,15.60150879572635,17.621312339484817,15.397859506889128,11.345619493608751,13.895981617817975,14.608703887007485,18.959989773285965,20.326511232258692,21.574353514069497,23.80808156640272,29.054050738662866,31.420119657886346,34.253930208990745,34.794404290341255,35.419386498425155,38.15427108712159,36.42756268959156,40.78612396055481,38.807527140818515,34.051916463180326,37.874337210135124,40.80139179615567,36.800266551542954,35.55601395558562,39.17028410533141,38.298208286690105,33.778339294903404,34.85199592388243,30.91673319398141,34.253421891599416,36.338936375419,34.183063546940325,36.65544175202688,37.873648127074574,36.5018505462652,32.801423219371166,32.645966843659714,33.4602576914513,29.78953623572189,27.250084602306874,28.24079414900421,26.31145013115769,22.919743165827867,26.278127206449913,26.046752502421317,21.466122665146557,22.024827794485546,25.671023351228445,25.19018331331835,28.97228725373647,29.542908167029314,32.86933812805294,29.833130354236552,25.483141557660556,30.204119867051062,30.434303519051795,26.90761237049503,27.38950042596427,32.67819245138265,30.304476652350438,25.899803187590695,29.710877567381424,33.26037904871022,30.169665467728926,27.06878509067921,22.527844179589632,25.715849543527593,21.585259884386254,20.45019846935439,16.108491004108437,16.766564957866454,12.958758800042576,12.93684664876868,16.2895549533308,19.579383046831556,21.581222840099226,22.569080403383488,21.21556190493196,25.098171540278084,22.679991902767725,19.76036576732398,23.70431894052443,23.75346670323429,25.115678247206535,20.732341027115368,18.420451214274227,20.391389381491045,20.1769652581907,14.617617500866102,15.796640780075753,18.857046786632274,20.36694587540642,22.807978490443627,24.939994487611347],[6.949627445756829,8.00187461066933,12.2702153643558,10.53159624500267,16.606151257333536,14.071245183107782,17.63650110581002,20.72287093073506,20.0376182493289,23.053871688099843,25.247930909955432,26.978493417299205,28.250494538516307,26.869692186914033,31.591027607899324,33.07945005342993,32.27270314589567,36.784231183758585,39.56719613277118,41.76287490700121,45.1397209724898,48.78332947729518,49.76623978161765,49.07688679511498,45.86900719273015,42.1701488761008,40.016046963109964,35.993290532967286,36.46995123261188,35.55088562046066,38.62409222351445,37.40707374574631,40.47042471012425,44.63125684144857,42.61059537761953,41.423439404310585,39.96981403164181,41.31070137059624,40.991745500507626,46.57680815515561,44.395794857133176,45.66885130178096,49.877981702903945,49.790394178005286,51.94458229750603,50.76348510260074,54.89682608794119,53.873970317143375,48.98103533996636,53.061042845372896,55.12061189091786,52.47451671101416,56.3017437271631,50.95383567156273,56.06223990687293,58.5906379711034,54.73713913277228,53.70560028080677,58.61918889484214,58.651395946021026,54.54420402858249,55.46829001441348,53.17486948711764,55.3165835333179,53.32151876133909,49.269795538109875,46.537942594925624,43.41307972688473,40.97456139329355,38.26797525534175,37.709765052848965,40.009236955394314,41.56530057453185,45.385451609908934,44.201112589291526,50.247763495738845,49.24796851869983,51.53229615235602,50.44766993723178,51.828839835785026,49.527006495447026,49.2224360944239,45.746500720590525,46.34636939445568,44.10772631459748,42.95434311539032,45.329947399600705,45.287383663241954,45.55640259644019,48.001824276109495,45.86080993087599,48.63840099702428,44.899915612601696,42.393173547078426,37.71235395824501,37.58584193033955,33.31077258758924,35.50127230385815,32.49881597038302,32.665408345770814,35.67098849877295,33.88070260566355,36.80759589378445,34.088734462447356,37.54480113362599,32.29186580424211,34.054231373809266,33.233431209363104,28.79128629428088,28.872689173750302,24.322736480494623,26.382395598539958,23.383153057105694,25.28973979762769,26.36791855905445,27.170711250193143,31.01080422575885,31.83406756352363,36.31148686639108,34.213228154104655,31.33387051356285,28.181712116093838,26.00550006276802,23.584551417854573,20.78145702121342,22.68136032026151,20.410716096702167,24.30891633108804,26.188177784317908,30.9888318664175,30.2032270432263,34.1071945245721,35.875538804350526,36.63907001994474,33.427261350067546,29.874841408219915,27.43406479910867,27.58683286472351,27.292640518974622,30.39332909296726,33.39031896500551,37.654410676532024,36.29912767485086,33.76267502693218,37.02093567727174,34.981969732001275,31.798366295015377,30.38317513900274,29.162059852307607,25.78694559884258,25.97204868311079,24.677712345368693,28.10904165673068,26.309238387557837,28.61364391441129,30.241675638951687,29.43588209010045,29.901647108086483,31.808359837367753,31.283212002389277,32.17546953441733,35.68926884086358,34.16305512801326,38.636225006318746,38.76287310925856,36.357960394766074,38.03287638459666,39.62065686677291,36.108695823989514,33.44486255472437,33.40625315702281,32.39041960856245,35.942902151159956,36.711929178425216,37.86579122848806,38.187654297166276,37.16598650870704,41.76690436993185,41.95315829499973,41.99781167747571,41.02203433044555,36.489003567359,40.67831500726261,43.35090013203064,41.32454650789267,45.62050889295391,45.56284619987543,49.41577680502827,48.36309379839689,47.90660837444891,47.243419078909305,44.11058899162006,42.11234427206203,39.3694815421659,39.10288094063324,38.47550208644793,33.53721755131668,33.75934275049467,30.200754436556913,28.74478836854357,29.659133353916577,27.90776878484089,24.92830192571636,24.66227385735672,25.85877757336859,21.77682384797264,19.18047007839072,21.825015864811053,22.464095519716928,16.514791931336507,16.82982388394215,18.802254204679567,15.707119464799295,12.428808300923746,15.918104632269978,16.8630798415598,20.993562823424387,23.012353434945194,23.623990558149664,25.772346306642074,31.077250501605462,33.62184496763165,36.192447180436176,36.23161706271205,36.67660515449936,39.11657284372862,37.01511513726343,41.56910342586483,40.03328176643609,35.05998713861519,38.59552743351517,41.96057139216766,38.126895217915475,36.52621540008683,40.0391973859189,39.736414406452205,35.244571880807236,35.68870709590587,31.774893096377863,34.418856976306024,36.630459551970304,34.467729047230414,36.508659842002814,37.687381594223766,35.87226676177856,32.485689363478315,32.4975371923958,32.764850928344366,28.965933921484968,26.975046619246502,27.74439191227324,25.47164620722396,22.527268486095352,26.329869918491834,25.76176459056084,21.016071894916816,22.44775595376026,26.266907326645917,26.068971218450717,29.689771778106305,29.995948726971104,33.677054053856345,31.054447906052737,26.543505750215903,31.2099019167292,31.97167938946872,28.590605336746496,28.76588517283024,34.32471095528919,32.46545990761789,27.929386028717833,31.435725385170834,35.39058020718862,32.67474146758979,29.491082238842584,24.92864477595224,28.60157164366351,24.61074270673818,23.534246034929637,18.888085991838558,18.80588935028949,14.413570864973856,15.187815153874277,18.173477538599386,21.76134443132568,23.211888804569774,23.892355065717798,21.613912602762685,25.145843475922863,22.06247440257815,19.197700729619278,22.597100281978562,22.687270015844028,23.381288398552844,19.141455724880853,17.213841576847564,18.49757388109516,17.79050101220964,12.651731951513819,13.900904490166877,16.291192717189272,17.860855123418666,20.47658861227949,22.665042937327136],[11.744420587667234,13.232903855371955,17.422912757923385,14.949720970623693,20.992133145618272,18.029444872837296,21.05509176410686,24.056602751756888,22.40844079505826,25.03133717002084,26.745228143448728,28.821854728543848,30.359758701390927,28.252638076857252,32.88564017130723,34.83090275482541,34.0960103357696,38.35979983959752,40.921249408074466,43.577417150748985,46.735207450317354,50.664302645744925,51.39735224571556,50.77551828910745,47.81901505305279,43.8900461467705,42.13442766284145,38.06613959952805,38.55833969114533,37.84133306104062,40.14541850489918,39.55867836833434,42.343621982794744,46.41189219257417,44.735159260318575,43.48341951761104,42.538185915941376,43.801493235983436,43.697493936171014,49.58737212479396,47.10116180703514,47.96423016977913,52.29310045913209,52.31705016473905,54.2813954935881,53.20239586100966,57.396019939564894,56.518666414593085,51.84053465783215,56.10261253816044,58.30242321167684,55.544895866374155,59.32856949342503,53.942894915941935,59.10372843106045,61.3676143686412,57.34610685202286,56.295865232920065,61.11370356484353,61.025749735277806,56.67362838749931,57.36957882630575,54.966806643809576,56.7957113522015,55.01915906084373,51.11085391391824,47.835755039443605,44.774914385760866,41.880540372252305,39.063971021735235,38.21972667284684,40.06215177776236,41.99934461365265,46.055927374054924,45.26236571613452,51.3194329196043,50.82421341509122,53.17749429789381,52.45559594405918,54.10111027506672,52.12604550116778,52.171279453404246,48.91684889532865,49.775808977148934,47.436473325463645,45.964049059763695,47.93365511057855,47.91304207083115,47.67107248379921,49.94200546164959,47.41516010894811,49.782559985679335,45.99320810419488,43.63189728115649,39.01519729561542,38.44540863693632,34.24127258626161,37.14133972927151,34.45603694843424,34.969858084261574,38.233047623338344,37.11046017300602,39.99693799899197,37.83759968792087,41.59440207891633,36.51545193521979,38.608967264051735,37.92720158717364,33.565171077476364,33.4372612258105,28.780144348674124,30.334769433492472,26.882610878631287,28.51502036994312,28.81024195278537,29.46613867182869,32.962741095908974,33.603379244264026,37.604377647058904,35.59810002784965,32.48670605932971,29.5604410061437,27.566279029016975,25.636003125123853,23.351565073151203,25.976454277961945,24.434544967164303,28.400749266833103,30.627726077752634,35.371214444621806,34.77492318151379,38.8246181861961,40.32306531494471,41.04817928244668,37.599327815161544,33.79201561400126,31.50673019678138,31.075698442613042,30.212365371747083,33.21222172489993,35.6359724995421,39.86955380511968,38.38040292055369,36.180578334257476,39.61571168004536,37.58911512194543,34.486175549294536,33.22524988275592,32.44551342843787,28.933022097433877,29.613011218571398,27.79066274999996,31.467973926703824,29.07744497519299,31.052194616300962,33.075611403016836,32.21829086491057,33.2668807458788,34.81172753037231,34.95226147612944,35.740973586627526,38.76201124268172,37.24654579714198,41.81153803318884,42.126035648614774,39.546907060263415,41.67401661723896,43.17019254985692,39.86891849691448,36.94557197394409,37.168733987421554,35.88964802274613,39.573918234046026,40.377715994222186,41.3936596104859,41.818262213902685,40.36128517225627,45.20296242827418,45.42036817455616,45.75986353663511,44.77486285486332,40.52799924894994,44.85514296629261,47.51221465375017,45.26230907799064,49.25936395434683,48.83944102292189,52.82466612041824,51.45910005265835,51.409338897309,50.87723828080926,47.8358423642956,46.0932522370168,43.53312839189877,43.5007117783935,43.0727753639443,38.144621168405074,38.618857645181876,35.16881781478787,33.74995690408305,34.84232440468244,33.061975533109454,30.009789589915385,29.84472727464255,31.09535987831102,26.981138621507945,24.346960770130476,27.01793987596362,27.590905027116694,21.716818534774596,21.931523791026187,23.71390013675161,20.603494932530886,17.401022112768725,20.45560587620094,21.571984258664035,25.507828554526768,27.524646142700075,28.503744435626693,30.56688698645547,35.90693616210629,38.17156840123888,41.0297853529787,41.218962395109386,41.80055276866851,44.29500461144192,42.23774367917818,46.798821781019235,45.21599379363722,40.26753807430448,43.818380290582176,47.13877614379149,43.243293145078404,41.651565800642935,45.10807205419245,44.699832866789315,40.202055146015645,40.580870631888956,36.8399258382077,39.50316947928662,41.798985397174995,39.68672285926614,41.65957291220854,42.783743751160756,40.87515112251874,37.60531395337368,37.58214836041406,37.663709832439494,33.908301520433746,32.06044275130893,32.59648534988006,30.181146699964504,27.47116374143491,31.185612879171444,30.31953835486251,25.528225806419115,27.16372346877153,30.885456423411078,30.93060714467498,34.6533198590329,35.116038065514495,38.79825054051083,36.04716411797286,31.684358439394813,36.406644695742564,37.05135533295829,33.62761044621776,33.9062453814222,39.40442742354565,37.33711156765582,32.825775273856145,36.399277317485804,40.23275167639247,37.29439235575545,34.089213634772314,29.473606267542156,32.75248878519512,28.499755198053204,27.658821134813095,23.160247351115117,23.63721741974348,19.413758379298724,19.535636819277382,22.666973304376516,26.051899129635558,27.74032372538808,28.815221944211324,26.48256837282208,30.057678334583443,26.69769821452827,24.172736633779316,27.466280437838655,27.58962505778388,27.91568913737282,23.7976723741451,22.102919316133747,22.890694677237324,21.901032493705927,17.267697320164753,18.239328641962476,19.86842994566012,21.409665982822755,23.839592232943012,25.937122313832514],[15.291454803862543,16.55257931255613,20.365181357021868,17.17441909790019,22.96789077364809,19.707644175644266,22.158778884541768,25.107771515033065,22.754758039160077,24.903333346288296,26.270885220085145,28.662019308204766,30.22320504695875,27.582993505561394,32.103684035225804,34.35331173714846,33.62507994360256,37.64470292391729,40.008556840281656,42.98049339323796,45.95115948466473,50.06912345121931,50.62028457256226,50.07837275359011,47.320972865114896,43.24243718358017,41.79586398923019,37.727310864413646,38.22691710643359,37.70638280878326,39.43177859615013,39.37364740331422,41.975156254917124,45.892276720009136,44.448962369911925,43.10848132097734,42.588301860300604,43.73420831097095,43.804218531683645,49.907247760546156,47.19865030118376,47.71204740254226,52.10653927282724,52.23939390161622,54.0668495511147,53.116204612886136,57.33472276913255,56.53484499049258,52.072081283364305,56.50038748955546,58.76901660514899,55.904432615067314,59.61755007421516,54.22097911423359,59.400369753071615,61.42917604024956,57.28802027237332,56.22733457763706,60.94392267043341,60.76013217502885,56.231473934502965,56.750521978429134,54.28897928202788,55.86241208840891,54.255000093095866,50.47896168266964,46.821464172431405,43.83875676464913,40.636557393596725,37.7847836262928,36.73922039084773,38.2584138476008,40.44756107034446,44.620469548407165,44.128042949058475,50.16270349099737,50.01922192400272,52.44239783521662,51.98027472440047,53.80105923933706,52.11704114639342,52.43343260144981,49.414710781763766,50.47395710093823,48.04859504198378,46.31563921468413,47.93015194894169,47.96810943637373,47.29588828381933,49.47108745029888,46.65776273360552,48.72951979784939,44.95431384362073,42.760905858498866,38.21820826784598,37.386214292424384,33.260490482916495,36.69097145929758,34.30789859084889,35.246494253852084,38.48949118847409,37.97270238628927,40.67162807264232,39.03533329102911,42.98642612726373,38.09989509386858,40.54929989485242,40.00081680634278,35.76982921125976,35.42737344561169,30.67934273952296,31.690473614569516,27.895398093250105,29.246200787353942,28.897168802817752,29.43979643203733,32.60457538043626,33.14517153449315,36.70839965383469,34.76904774089733,31.538290956805312,28.823278264610664,27.038184338536364,25.506811259974324,23.672992187705635,26.84270358216722,25.948803691244688,29.91970334168251,32.47449407177474,37.10211348195238,36.781042061515215,40.954716301781176,42.15563392964029,42.772996794520495,39.14362022599668,35.1097845349128,33.11490392745635,32.12038422463491,30.811427427844954,33.62131018967218,35.63667351735289,39.75332638844849,38.10450149690798,36.18013737090469,39.6923350834878,37.6766774802474,34.68014207365979,33.56446813213087,33.178787649247425,29.645500143835385,30.810075203330108,28.703651834359782,32.6651656322519,30.0890542737367,31.607961082318415,33.75619983344386,32.72446262890822,34.213272587942384,35.35127119392252,36.02303536885835,36.66553789228889,39.22300863309143,37.75329096926996,42.34140679645357,42.863804344698416,40.25408777823957,42.75651698998219,44.26584960689106,41.21765400204072,38.040958423342026,38.41839700860829,36.848534940808506,40.55541088334264,41.35421234579409,42.23087890798876,42.76941121875998,40.95143563885972,45.98756016833344,46.181363995086016,46.797360064196134,45.796877653844646,41.85916144369424,46.304442475396144,48.94873726260907,46.49358489633746,50.171537608196104,49.41197466112067,53.51950709674398,51.94627891964343,52.26149248691263,51.909974405156404,48.91203958398013,47.47571020462058,45.116337806639436,45.33149354554669,45.18154154498543,40.288173831817026,41.041074220266935,37.80573589707194,36.31193077358327,37.77347571261467,35.909115346145015,32.69804598387994,32.85450547397781,34.286571046531044,30.041108004964244,27.44242851500463,30.394011491306482,30.975606051889415,25.055889473567866,25.46576886270922,27.362605577156227,24.11216877982575,21.021659683663263,24.224259817113328,25.235846791817707,29.28760149670115,31.123063788960415,32.10985180892843,34.27725902981424,39.594143457897296,41.95405334772392,44.72307854228614,44.84947008009514,45.316424951227056,47.71296698968985,45.486831841749286,50.04871927910351,48.596953007437406,43.49013940933585,46.92000070142157,50.33039153566133,46.40700884698284,44.64274914917634,47.95683381377638,47.67604915848747,43.205230477186994,43.21847356295595,39.71717843731145,42.1897016815624,44.65160034771092,42.71672881165416,44.561361977984156,45.80031484192705,43.6323053374336,40.45953785845669,40.682307685930226,40.54459666350265,36.67026714599263,35.132567784881694,35.68409764131059,33.150500361715004,30.635924838416603,34.533325404345376,33.580377478420495,28.776431579891952,30.680588418214835,34.439572801718434,34.52582078724295,38.17321076904432,38.48063714964121,42.25498244940782,39.65644782202059,35.176975282013714,39.799530893908795,40.59228390899197,37.18409800923838,37.2349672359907,42.81119053265161,40.848161640840026,36.187898755792524,39.59228764978536,43.55920187301217,40.64935003076419,37.32930238419867,32.6580759471959,35.90179605694937,31.549948767921297,31.042126795930645,26.405573972506463,26.974451904419713,22.684286821429286,22.566842796698044,25.570767959301516,28.891989100432397,30.480257751181117,31.779327450289205,29.077140415999192,32.56253600305709,28.837065494945357,26.73497912633875,29.92064868848037,30.26077620666599,30.173876400677553,26.064945019223646,24.85898468048253,25.343833442245902,23.80639450887473,19.754682257235604,20.929208735690956,22.01630461190667,23.481863761051258,25.892817795963804,27.972265716871625],[18.452521764328026,19.5986395448983,23.0728445364633,19.49226088922378,24.895545299314296,21.143713084481025,23.016467160390622,25.6949057687218,22.683619376236727,24.435196517517536,25.333726632591727,27.8901148342441,29.62723203626781,26.56435811325462,30.82678648275414,33.35781148865042,32.80263350004632,36.55858332233265,38.84954667499217,42.06915718085985,44.90553796541224,49.18907751927259,49.63799793934793,49.262813775663,46.66641638741423,42.455941959080654,41.24916589846245,37.1695201001771,37.528916756073265,37.08391846701598,38.15336883535445,38.54859456078154,40.87951884440962,44.67136232279193,43.5285540113319,42.21207777216248,42.07773977103308,43.26227980879627,43.57993264729122,49.840628422628384,47.0589075123437,47.1822369749881,51.59505790615171,51.92786799578765,53.699339228285744,52.96425326755839,57.18313383459761,56.35214774419778,52.139819392625306,56.768415724629875,58.99507574818365,55.97822597983895,59.537871047987,54.124171810034824,59.21287361876648,61.07096249251125,56.86137435946743,55.68467987344931,60.28657038075107,60.12178747428176,55.41392324132142,55.66902614781164,53.09444839307477,54.496091288230765,53.122505693333515,49.44027815657454,45.46889026007689,42.49404402318108,39.085362226937185,36.117697337594926,34.96727391911345,36.15329472385394,38.475346835361165,42.79542756566331,42.500221995069616,48.446832975489436,48.688719160481746,51.08232236994154,50.917716948281786,52.96662245380515,51.520650877472775,52.17182649929795,49.3213657823032,50.64613918978814,48.239660883378356,46.189975520421726,47.45716439400824,47.422702104838876,46.39811482558787,48.34393444745271,45.29263383624046,47.033741751539196,43.25781091066274,41.1862372636604,36.77272037360769,35.63678997778283,31.65595347014354,35.52541222522712,33.44884368655173,34.70578453941563,38.0095772250081,38.085121421151584,40.67484870563441,39.5813269999865,43.78213410687763,39.168252951425465,41.94246896153534,41.63522414285492,37.56890674149305,36.91265091964397,32.16053782494861,32.684578987550296,28.576864967980008,29.78430785687652,28.772470752517204,29.357166963730474,32.1285337356384,32.739118339203934,35.75177135406539,33.738466644604024,30.486832216665167,27.956903346688893,26.595243991091245,25.405584492630176,23.94404957434996,27.6763622126902,27.23215166509255,31.237941179199865,34.06777999545135,38.495895544679236,38.59018364628424,42.79997581272683,43.781143374260495,44.15420027401067,40.508466979906366,36.28362881416631,34.74000567618751,33.22883386990064,31.580507518275468,34.086224880133244,35.84699224625411,39.746574046821735,37.827617887858516,36.14096757361355,39.61063928361977,37.504185208335,34.665926508178515,33.56232437120721,33.51003990984841,29.913783851637973,31.45075401006424,28.979758606833396,33.09860820223023,30.278101420470836,31.352302880131017,33.66945799982742,32.5690832131096,34.5135594038333,35.31357635379668,36.5850119654226,37.24802274852993,39.314893969616016,38.08725311306284,42.611271418255654,43.46100551889353,41.01579242434491,43.81668529143497,45.458081915570524,42.680017077586854,39.26965907467914,39.68048070503691,37.77599226227018,41.34593558504651,42.01980038219145,42.65944137216605,43.19716517149972,40.99778664104894,46.14874340653261,46.441564547402564,47.31067262183077,46.449283957854824,42.7686063436104,47.39674139532335,50.08087666822783,47.472267184798355,50.81294093261187,49.696319215345376,53.980582020836714,52.352045670940306,53.00035747423888,52.893850983710614,49.86424738301698,48.777006294220705,46.60710192984842,47.03349152698288,47.17186450031686,42.33212465541312,43.27544122581503,40.269488706301246,38.5722402627927,40.36916770040431,38.305668052017715,35.01622570576679,35.59581496504348,37.0813640561367,32.67087247165535,30.339908278975045,33.48119511238312,33.87738521563928,28.006955267793295,28.71618074910795,30.633263452467045,27.14288152838479,24.33124650074952,27.766491782014178,28.781389487608653,32.8198110506769,34.737032548568806,35.55996419863089,37.74711573332296,43.05923328162388,45.51181470029975,48.1586442063206,48.09670154459133,48.447829554579194,50.69042991081856,48.26286943126836,52.86867512520509,51.638943782712914,46.40053285419495,49.65394824964169,53.24278632218856,49.37380396742826,47.40962495189001,50.596411648997034,50.57164131410672,46.141548408809804,45.75440901779927,42.415715320570186,44.53997413327297,47.1188231628893,45.29356935750663,46.90679821862897,48.183482355776164,45.73398620268745,42.75780235051695,43.16576127136428,42.71941248850896,38.78513661231912,37.61909772481261,38.09221479309085,35.41527941049888,33.193514849277975,37.26475066387624,36.163448293396,31.3749042039891,33.646755111014805,37.43566604144613,37.63084064509935,41.168997003884826,41.31666491374414,45.22599048699606,42.844386732863356,38.2852133397956,42.81531352994421,43.83986330121159,40.49359555572232,40.34238665574713,46.017894656827465,44.26525962043506,39.50341384983403,42.72260536754099,46.868754570942656,44.09010435879327,40.693962227899085,36.0015179438852,39.35582937536424,35.005765512236785,34.66314673408791,29.89171031946467,30.318644846135648,25.900545636680242,25.859144672432095,28.691738410444728,32.0318929993271,33.40836284781567,34.723470001088465,31.601711576338626,34.88118353556076,30.808389713571675,29.009686117666117,31.89156912004496,32.35727215054126,31.80127235131723,27.868309224744145,27.094749994156647,27.157058832238974,25.18473106661106,21.818048632953197,23.043747720320003,23.504753361526028,24.864022808379005,27.20446890021195,29.210973277388106],[21.960829436984802,22.685544798456096,25.700894282773895,21.473131030492677,26.472821821202213,23.067290798091214,24.32208639796626,27.124560324018788,23.694321459071656,24.66278545990287,25.384747092933722,28.383479845317268,29.685682728743732,26.09181556549076,30.25773114265873,33.00225172278269,32.17417048992787,35.57756534706257,37.41485462078751,40.945273968477416,43.46608299883128,47.87060807329199,48.04154957726326,47.63693757916085,45.316431057063475,41.03548098999817,40.23641330973509,36.294373059217314,36.870009216744364,36.83317808011523,37.47279021224576,38.49895536281335,40.776650157567246,44.25588688098947,43.209659077893924,41.63104092713,41.96279180024989,42.73657330085129,43.09739431421587,49.497117173215244,46.358191688582764,46.207345796718286,50.66171154300014,50.96879178416152,52.4858400501527,51.78470572889346,55.9949040146711,55.37006141617313,51.38242036199623,56.05963091143782,58.449986094171166,55.43006949654579,58.985190275524154,53.6496077298064,58.84144764989569,60.360367894127535,56.02480484711266,55.01291653236966,59.480060470954335,59.06014902751361,54.26073251748479,54.487705791691354,51.992750443383834,53.01183860610366,51.70482311629867,48.263511487489055,43.92087037210987,41.19451229755626,37.42615186510692,34.647424290843404,33.1831702696071,34.05162079355331,36.74467022116866,41.00777330553519,41.17000853962791,47.08655522415026,47.569536929204,50.167013500372676,50.16107567010403,52.2330521221717,51.170206626092984,51.94586723872881,49.48797448577427,50.858782917498885,48.25344353665949,46.09605359880211,46.994247200833954,47.245235390788835,45.710494206008825,47.782029438167555,44.44820151951141,45.96301808327973,42.3227261903698,40.56788472488258,36.249578880243945,35.024650793441744,31.14194896939008,35.53836308135294,33.837607975346856,35.71353176869347,38.606946299955716,39.261744337782716,41.399617761798815,40.77927427350343,44.91624338269789,40.47351622327992,43.55824169977338,43.20393225944591,39.30854643651192,38.638820843422714,33.831532097120046,33.76952879700056,29.525757032051413,30.20291977058069,28.672946859786595,28.900245655636642,31.291281712992408,31.569663721752992,34.17662527643465,32.48803780742354,29.11616382699193,26.96952151006085,25.62460295500417,24.988094041591847,24.181304338215188,28.12741194446972,28.53686999874761,32.298596977269675,35.37614228263264,39.67348147650919,39.84092634133078,44.18068721692084,44.76060319176989,45.19459400112872,41.25535397360968,36.89873243097669,35.49944206607462,33.470520196169005,31.365937995330576,33.70352326415602,34.85871558497823,38.62345606586466,36.7206114284555,35.396113306634334,38.97435476269208,37.080876897743536,34.37571924167635,33.652540462509556,34.06467310903948,30.712372566872045,32.80764496539618,30.429034739452277,34.86376426063728,32.29606059818441,32.823300477438366,34.9511021911283,33.48252643773791,35.683132005731586,35.93193759636175,37.500258059014094,37.73346509588056,39.34237485809705,37.92246065189909,42.45140271189321,43.32703945495707,40.7056238259027,43.87563419250206,45.386309539822136,42.89672690405969,39.305351381600396,39.96404350829603,37.88201952515296,41.55531852368326,42.363010802471685,42.99816114696634,43.81319959445536,41.382777493497365,46.715770678584605,46.761114508037345,47.905614921994484,46.810942502787654,43.58322821668324,48.12530092735171,50.6784347206493,47.85508957280725,50.85232379015485,49.45620236505741,53.71551788524756,51.74176698262566,52.76395399645369,52.76853316275607,49.90670333625582,49.090368532320895,47.16564882164326,47.86434221872108,48.26740776841515,43.527216402029495,44.82191673529878,42.06754244059528,40.480233102735916,42.65847080247519,40.71179251304031,37.218223632617914,37.96237045056572,39.78772228219749,35.37733792437566,32.817027466893784,36.301263076104426,37.012449318752154,31.032720972566114,31.789729455377582,33.99308329983071,30.574509929246997,27.626027577186793,31.167403965944793,31.87486811060412,36.256500140032635,37.61890606108549,38.53066044965587,40.96922644680384,46.19004684427227,48.86752868166369,51.33144039215949,51.30055143826788,51.4456830071733,53.61542322977518,51.026690094932995,55.52857595805112,54.36237009886994,48.92634245062009,52.06658903355596,55.629804089327806,51.67397076039983,49.54858984945955,52.532916935514564,52.5358604559621,48.16205186290771,47.40499129802158,44.43686706784362,46.50993582772864,49.29636284752072,47.7915591232796,49.41111794488176,50.962517742160195,48.29441183392884,45.27261127329867,46.08301990399764,45.60454808442045,41.47284438998517,40.53226199489555,41.26727516734815,38.60197140791179,36.376561230318025,40.64133716767762,39.68950799772642,34.9209365965634,37.195614872779046,41.04961209453028,41.072425339571886,44.50859595104556,44.41393145229348,48.330152916616676,46.10525678993318,41.33032573355099,45.671415701222735,46.78864204542847,43.43503349320563,42.94738823930749,48.66267039560514,46.987410489531676,42.01532553602346,45.00142957684775,49.26315712664602,46.50187354251561,42.95659891500569,38.2290959253594,41.48434044535995,37.05839869298852,37.18600652973339,32.263939296076096,32.87591282502185,28.51046954715932,28.054549593840633,30.702208428167555,33.87188914143611,35.15818702727248,36.81464953955318,33.4446010822613,36.67930407817651,32.38191480892432,31.16367586383902,34.165792444084445,34.99467987110149,34.21052480625697,30.124965018730318,29.909298099049828,30.029131086419554,27.46415573127046,24.55375389844638,26.245354934438563,26.58087693314101,27.819995584811377,30.205705327275087,32.22276795505842],[22.672942148274807,23.314599512812823,25.92144196846437,21.76964832726937,26.188902445686768,21.90756520972711,22.640333385007384,24.83101324982797,20.90331140197549,21.777450738941184,21.939256294581813,24.787585510618335,26.558343829204848,22.904880746401815,26.675947310889185,29.56719521987147,29.241043923335315,32.527340310657856,34.71614798254638,38.221808232863935,40.86225891164515,45.33057589655079,45.680048742354046,45.59820926634767,43.21668888187627,38.86652505337794,37.98181021941962,33.93979311225707,34.053339390069034,33.75109185224843,33.85606907552981,34.96212033250591,36.92276632673104,40.43296971772599,39.690184047592055,38.37944260821076,38.840723507331866,40.03145901946275,40.729422537617545,47.146598079367664,44.32132112487067,43.84473566361582,48.22902715365728,48.88943115518498,50.61360918380425,50.26064117626549,54.4369192961202,53.49143207506895,49.70584971328515,54.626451504439,56.71398477798056,53.46687201441556,56.74044839994922,51.34234798546136,56.2399588993496,57.83440813211555,53.56542769315394,52.211886412168454,56.61220765526294,56.49836731148775,51.565715929497536,51.43512553585499,48.720899301622794,49.8954148515828,48.858234376652234,45.31874826261385,40.973379760956185,38.017121399536066,34.39324072242713,31.284528280170168,30.036377248744216,30.80013090140967,33.224212024002014,37.697853347296224,37.64376973244542,43.43325207136971,44.16856635786544,46.52435783710162,46.75530728886157,49.09646070589335,48.02417078271318,49.15687084158176,46.62518924988618,48.32895095370047,45.96887484850344,43.453763662960775,44.17017887841891,44.06117264829983,42.505076715562275,44.15055372732787,40.78341471257715,42.08679542147127,38.36323734886494,36.5255108077026,32.3287053123843,30.8496239811402,27.107826588024864,31.60400259298293,30.069538227081587,31.992490008402463,35.08678008623056,36.146080781488855,38.36601760285005,38.19006514717874,42.657178217632584,38.57499814250743,41.881383256529034,41.95295148398648,38.26782077774066,37.11905591836062,32.46107137981808,32.0851709540916,27.602663935573425,28.491207278511876,26.431395763995397,27.097818668331115,29.158979440709427,29.966638268484743,32.05134010604154,29.8776777549015,26.70402416993319,24.4959087478632,23.93327482679812,23.28822125931412,22.480863187043084,26.974504352989822,27.317902473886996,31.215552499492073,34.443593077079775,38.41726128546019,39.24194300472131,43.43975503847376,44.00923638314611,43.940330525779885,40.33754330278863,35.87665811368485,35.196430227420926,32.85618926290197,30.750516519401696,32.636990623210885,34.089577531665306,37.517288967904896,35.12857916361114,33.803720968854314,37.09003679386711,34.846615288588055,32.327758589135456,31.26649761539016,31.777244801238375,28.239975320543124,30.431184384875074,27.593817440681832,31.979075344290283,29.160075144105043,29.31833579492991,31.636529111869354,30.28612097065355,32.88121453652098,33.01454217916226,35.19102783685643,35.81122231263996,37.031339307568935,36.242313953341316,40.56258682220803,41.965382973790625,39.92773463521954,43.13416847091547,45.05317178503354,42.77621774673801,39.02987131965005,39.41636761564886,36.96148175194585,40.18298209371951,40.61932871665593,40.860436078485876,41.4194485356924,38.6532401970419,43.93189102424832,44.32186167531621,45.59975176079634,44.95339985075754,41.77526170248154,46.62863339138658,49.3465268345299,46.51803395944568,49.25466438013542,47.571636697420324,52.112002729870966,50.48851713438839,51.64249624605861,51.97485638759716,48.88043010883187,48.41225536663577,46.58953078870166,47.37036936461551,48.03349083280103,43.363345224246856,44.635265858620954,42.12089642207273,40.077760251504294,42.52158366374216,40.170448454736544,36.747616528507734,38.11319896355164,39.7686724874993,35.146796503495594,33.27977472931396,36.8141542800561,37.01806074022559,31.28011403284262,32.5508849595603,34.64908297629259,30.84546345323012,28.488564187451217,32.43738345301997,33.27005252456054,37.445352682331766,39.29366835341804,39.69412652577133,42.021268578012844,47.23178430897186,50.049869838139465,52.25396648104367,51.78810513769363,51.78173028162256,53.66870751273668,50.810012231945066,55.41712583802735,54.655381276948944,49.13868186565874,51.98737728471644,55.8957929772501,52.16265496038894,49.78534278800964,52.66931323966546,53.19327371858535,48.89488402090789,47.678998005887436,44.70625677606966,46.126544149418166,48.92429518697889,47.40722303789468,48.60915995292861,50.07465431600644,47.089289874301166,44.436010323781346,45.35160224856789,44.42303568039447,40.327404726232594,39.88206335895893,40.42079773684982,37.59435484812728,35.827859119496615,40.26706403961245,39.116448437778494,34.452964256796484,37.245876406780596,41.110620919345926,41.315290501933276,44.53206944902842,44.22155286878754,48.33606750783299,46.490986680172306,41.69030690568493,45.90474527179895,47.42988351502554,44.2453876596513,43.566132412699744,49.40961347867272,48.18344556319775,43.19712447297853,45.942309560125324,50.482205466711115,48.07887200001361,44.5311123000239,39.84933762013063,43.54003559490385,39.3054059333695,39.28626155003908,34.19773759364908,34.21062195738348,29.603139988075,29.78727589370324,32.175442177631254,35.54888329190865,36.397493651236374,37.651704845110125,33.75203833125739,36.55898250370524,31.952992018331297,30.80559294496493,33.151950287068935,33.966989920315505,32.62697038368047,28.985830967053747,29.149859360879372,28.674004487344906,25.815987748795838,23.783920220759516,25.36643681258868,24.961504224514965,26.058421933512065,28.340684651055607,30.242043270148937],[26.70668336172632,27.558214863524842,30.49937658526399,26.235935280240103,30.927522951209237,27.15539745694061,27.96476447402355,30.35864914184022,26.42360206327977,26.979936232392255,27.064046044560936,30.076185379614465,31.63210458460763,27.667894098499804,31.282708894844358,34.32337418687713,33.77611455348473,36.71899380504543,38.38699555049352,42.19402952997907,44.46519311468896,49.027038785686194,49.031559553572045,48.84245350428949,46.79706661542244,42.42003751422499,41.97558068679897,38.11728586826027,38.50235295241039,38.5484214757864,38.275232145563386,39.87246128587518,41.707991014882616,44.968671417314994,44.37570230605074,42.88334895273321,43.70018995134919,44.53213287384065,45.19450730172827,51.68616452216228,48.49756229153289,47.86140059801968,52.27594863641489,52.8229775773125,54.22832027815607,53.78919083273449,57.949942025978324,57.32233583174105,53.688036546604394,58.536907354848566,60.87172262138604,57.709931412408544,61.04777115672036,55.74946625013699,60.773674174543196,62.06416048759122,57.68399786441774,56.53791513842705,60.8070789251403,60.40997711916388,55.42390071045449,55.288058063982746,52.66546123042143,53.41452918680804,52.45933164352022,49.207868963332054,44.476850780078664,41.82681228776811,37.81838792355639,34.948584359990534,33.34188482691945,33.61249310069222,36.49093565581246,40.890891946460364,41.376879646506005,47.04721945304043,48.10860353627525,50.615803932893364,51.040038793844374,53.40336988588654,52.66044937760292,53.8578722776932,51.61588566473526,53.29315220838972,50.75661207925141,48.25365226450554,48.71417606953857,48.84757623282351,46.888768391209474,48.58967098325139,44.97894451216072,45.965170151687424,42.38190725708355,40.82935489429683,36.81451598422398,35.14250262920585,31.61702349029087,36.47962775391318,35.21897283134428,37.34572778614673,40.35165868421098,41.65137028322883,43.702840291719184,43.6714982874275,48.04360590929582,43.93656012445134,47.26251833849019,47.16006705116484,43.43409357240667,42.477489753956675,37.75187794358538,37.309221723082814,32.87014658535582,33.43247743848856,31.25364312110569,31.52309010346515,33.36052139530302,33.681497157313146,35.48653072337226,33.786983502592264,30.495313869595506,28.709987941508736,27.943596520120746,27.75083885888555,27.3670861242779,31.709967575568374,32.446417141046474,36.184308723446826,39.42977016862346,43.494373035873046,44.029845588051735,48.34624530676914,48.75263588533053,48.94938142228448,45.059425324761456,40.59392334911751,39.60858638365981,37.17029977691538,34.78449981463042,36.763196215214556,37.56244442599491,41.00062165739954,38.847230244372994,37.8583749304778,41.3151297082331,39.363706221955226,36.9097914875806,36.20655378437899,36.95146924728331,33.5884430056302,35.94360304552001,33.18656780732106,37.59178986284418,34.69320581271693,34.80436991940309,37.157212116018705,35.733698872207135,38.39087540584857,38.32209048563739,40.521746187713234,40.82390004130756,41.87593974640112,40.76170031158963,45.13673205861309,46.3498036249996,43.91962484594824,47.35336798466827,48.95076345629151,46.74797808298831,42.992828928605945,43.68983966792459,41.32839978716923,44.80911098690202,45.470780701700164,45.8348575554969,46.60956512126943,43.791619354890784,49.153330507181046,49.34676676924817,50.745354866095155,49.83999979373907,46.898505093329184,51.58266973857412,54.15677649139594,51.2136157666455,53.82836143380782,52.05524847267758,56.45967531866332,54.4218205166823,55.80882164424409,56.06166670832257,53.20970703687932,52.74441449800232,51.016680784213214,51.89736900348319,52.537949229127385,47.876014723180894,49.29449336521717,46.71238525256044,44.9658959761699,47.3297965204101,45.21058988277462,41.72630001631472,42.750855084089444,44.52729583754118,40.01875089502582,37.71329073195576,41.21848373042403,41.70125097087328,35.822939890407355,36.73323643945452,38.82972924942367,35.245379398698894,32.52240962636181,36.097832954596285,36.927278074637734,41.166801958735356,42.73617740669026,43.586658391218094,45.95284164899432,51.201777646736865,53.82189487538272,56.31319051342328,56.16672066672106,56.30683646215668,58.38514917139696,55.69389736831393,60.24622326291181,59.23205603486877,53.75824179220908,56.781282231527186,60.4717384918617,56.57393836091004,54.339282475967,57.24082860717329,57.41616333014703,53.07686189945144,52.080400900275954,49.21346769731512,51.018349494879224,53.852766279040644,52.37791497661566,53.788931474314694,55.28189089378275,52.43168376706341,49.62767086102698,50.47007766917509,49.71525460202279,45.63182912423517,44.955523297120614,45.507223323703165,42.72291752092868,40.77928340007449,45.072596397222576,43.913597164151405,39.1781279032813,41.73242380941581,45.55655344444893,45.75519571902276,49.15471405844854,49.039941490700336,53.04658567609983,50.9176864964738,46.18002035120978,50.50754791044954,51.74440030082423,48.43096430356975,47.908095939840784,53.66196065009284,52.07834145012584,47.098594294926585,50.015770477865864,54.344487223988196,51.62731731007798,48.06795285899225,43.34070401887555,46.5952167939236,42.15644873295491,42.32506475492659,37.40777230455577,37.97784022724593,33.5645906072529,33.17402519732742,35.76581862096826,38.921804148664386,40.12248694596587,41.770962192365985,38.192079889119455,41.25799309097644,36.769352449836795,35.710129564504165,38.39491751278133,39.21762448504801,38.074888094246745,34.27205280504741,34.25532507943308,33.97371363413516,31.2697813622954,28.880856750498523,30.38687867044671,30.19055963580103,31.33267356170342,33.530560117245344,35.38927644928445],[22.999556032678992,24.369342157266328,27.918779698247615,24.324939012795447,29.60313368541591,25.644225014906983,27.223348306855847,29.627477749527248,26.184055150864378,27.629982259441242,28.0219146998085,30.612774629337483,32.60321198206099,29.178202701957442,33.05700290275131,35.86777771363401,35.5141577484012,38.926812245408655,41.049734075932776,44.545260831206136,47.16718510550005,51.60856373839612,51.8848795287697,51.64076363517373,49.283403433732,44.96880061856984,44.07873162514378,40.05060770201491,40.308323910830204,39.951018815955344,40.28089063378228,41.150589793032125,43.120735135030415,46.76856813103174,46.001979109360946,44.743235690975084,45.005021724988374,46.218332520774766,46.75624296676563,53.13016506979966,50.245458567067196,49.99867670192736,54.41300746886608,54.901279117864725,56.547213275986195,55.971058312402526,60.173739964315665,59.39810231880041,55.43655866362827,60.18911775775361,62.43291872462331,59.32026484369351,62.751050637758844,57.35485724860079,62.357275501688214,64.02170183187354,59.74792735405434,58.49107182747159,62.95084965690994,62.76826249043338,57.89566233954036,57.87696199763918,55.19838864326381,56.35542706636384,55.25352099083663,51.72936639434585,47.390344584489945,44.48651355924415,40.820429640934776,37.77663630748787,36.465218153087186,37.145351411557385,39.682342010324646,44.14305133385313,44.14782740033492,49.925828771045445,50.66133458203412,53.00014935808402,53.19493642679939,55.48719431639437,54.30248808789445,55.28436811657466,52.596993480312314,54.15734529530398,51.774534128823326,49.46238813243164,50.38806863997622,50.27507670831269,48.89296959200271,50.54953701758197,47.2463350704936,48.543425163636684,44.7885069771205,42.86688913903969,38.678566498447175,37.133384872817324,33.42083162033385,37.71642937170823,35.976590267043015,37.38937643093887,40.88204117554248,41.450084377776314,44.02691630860155,43.36472160087206,47.76700382859234,43.36536191065391,46.302592724504876,46.15354331189852,42.171205379259035,41.33864440282609,36.62156762075749,36.89657039347482,32.62024590572365,33.71824679443543,32.19993856696529,32.75887724439186,35.131505404542885,35.68972609200678,38.12349232348336,36.15557222922652,32.896746801205474,30.654802173670692,29.650377421365135,28.848431835756127,27.753967044539987,31.803393620483707,31.649801825299352,35.64745401605161,38.603840525837285,42.91370587584529,43.20081509749956,47.424739218956056,48.283868820785464,48.54583478114648,44.8771997890793,40.55841453005754,39.215256086501526,37.403554974216405,35.48569456415051,37.79440199568281,39.18528451858458,42.90511959187775,40.84842368184114,39.443918451667365,42.8931279005351,40.77211825357835,38.09665761393182,37.04336883385936,37.25792687666765,33.62759635782841,35.36208828735098,32.55326083545197,36.633390399701156,33.42313892478477,34.24079752542796,36.82478292894049,35.79989909276225,38.12009476858689,38.70184845324312,40.46035360340463,41.15768918140733,42.82197110602731,41.756267176954104,46.21460841970141,47.27030381689324,44.856505827723886,47.895383466659204,49.52816657274642,46.932945813063576,43.39878722551055,43.90759614585913,41.827922751581916,45.34046376228881,45.95256917324435,46.42018524369691,46.945253665313594,44.443900559254736,49.645081531299034,50.04650599336753,51.108750592643155,50.35555306382439,46.876001575359936,51.60293638760472,54.292809803383264,51.579451083973986,54.66072495372207,53.266628773881436,57.64781751201092,55.892767158900945,56.83106269856977,56.86808501558685,53.88150086774342,53.01396833728551,50.97752009122711,51.534332007637104,51.80572978843208,46.99942418857194,48.03541806831909,45.09802676197585,43.35297119047633,45.210950442209004,43.063793735020894,39.79427538866263,40.46361046814444,41.89184850793136,37.445618183857775,35.21640334222602,38.30362937343487,38.54947268439302,32.7606563916218,33.46048697134301,35.22479146280554,31.680702954486584,28.97816044319285,32.25210518548388,33.41569477573309,37.26869445149286,39.34582729217371,40.273762028526335,42.35749954471148,47.70658155353761,49.974103597998386,52.78910465801133,52.74813919367766,53.19382790142734,55.44372392724428,53.03000175509185,57.67422420393262,56.464756450510656,51.25907621562683,54.49935116305368,58.116365719749865,54.25416435705599,52.28571075405823,55.4530588550423,55.43324079305948,51.00533706354271,50.573670176894794,47.28524502803201,49.33636835786405,51.9289360040077,50.08125216989901,51.59239499148955,52.77307109508193,50.262991972302885,47.426856796535596,47.755712930054976,47.14223612420868,43.29337094270544,42.23270671455072,42.499702591041036,39.735493239139245,37.704962961939714,41.698855503780145,40.38493185023137,35.6146682819451,38.0357979257463,41.75053749562186,42.1327381857957,45.71560634691606,45.96812783419814,49.90415652119663,47.47129343054154,43.0256051063266,47.61116431521338,48.60790776495249,45.25705159265337,45.19889832187284,50.85513325692777,49.02933823337435,44.31420541065571,47.579156452224986,51.6734297709274,48.81148828591684,45.43215756916409,40.73530776903515,43.93229258893326,39.507735301363574,39.19496154330493,34.532831846122356,35.11176518625152,30.73700066090317,30.58339716057686,33.46499336408164,36.73326359567764,38.185801947663926,39.588287579960586,36.442733711610934,39.68443139277801,35.512299072832356,33.79648883325725,36.50793100137403,36.91391674354862,36.146399967643056,32.422873621138514,31.688259502325984,31.446690529094735,29.47861289580401,26.41005879601808,27.37891552406659,27.431068791147524,28.725099780537427,30.848005702967747,32.69598132762639],[23.664551762336,24.8364902396519,28.369007765636912,24.51229584374353,29.89838909806815,26.665572519667272,28.29236199017337,31.12000861752337,27.85223180001389,29.042143527594,29.74479181889264,32.613972733235705,34.09321988235913,30.539375519334765,34.65349872793739,37.423401660311704,36.6333115234119,40.00997831480296,41.76138152974383,45.347685904405544,47.795132716907546,52.213239858560605,52.2936372189797,51.82607455646714,49.58925957956804,45.31702394863391,44.599710428207906,40.693370990682865,41.32392678974104,41.2826759131071,41.86150154224012,42.88152725965741,45.08087702074584,48.59451788043501,47.62111589651792,46.078738864386466,46.401471526377314,47.18315514699654,47.50484130345899,53.89474189575495,50.694063551160134,50.583194679238126,55.046155206438,55.28639500635385,56.71612647326205,55.922321237327665,60.13239996482273,59.630543557482966,55.61405804512166,60.20794588165824,62.69669069904782,59.74250318166062,63.35535471523825,58.038019697332054,63.270553840167715,64.77008131321747,60.418325009391175,59.45453807628714,63.914990110716886,63.438961547853,58.64158056308561,58.873508677204846,56.382526686569385,57.32186352846311,56.04045252253266,52.65685580120923,48.23093258761763,45.56054494319059,41.70970540843985,38.95472694658746,37.41891766855435,38.11302351226995,40.91869826630527,45.2008608596878,45.47513353113137,51.342386628794806,51.94195291124249,54.52452977239684,54.58200222916614,56.6780031361287,55.62428232396903,56.38900541834346,53.89597724997548,55.235792028802265,52.618760107936104,50.51987603698946,51.446867494876855,51.687813818551454,50.15582248575127,52.173487625056396,48.810838786900156,50.21630746444545,46.56761663173315,44.80990543719513,40.54896666774357,39.19148182385324,35.3860874365495,39.78770053213324,38.06256420087354,39.717239092786194,42.854205088416414,43.36617640450983,45.680081809807625,44.89948113263261,49.0314820493765,44.47048325991684,47.38118503984611,46.92993754157906,42.90237299219807,42.380225236797436,37.56625206910058,37.80194187197681,33.6533612887461,34.413418240951614,33.05831906667222,33.22507873520156,35.66791634609562,35.79829306307642,38.43348973829767,36.876010407178725,33.474173746641455,31.39246341210841,29.926703355244594,29.30365690304223,28.43503867759427,32.18395475880849,32.38756645069158,36.171918257759806,39.109322681944406,43.548056199439685,43.44584471250974,47.788646932690185,48.49349437049372,49.09961289123275,45.12174122935576,40.84561784225278,39.12064699252413,37.33369709089596,35.28537516549263,37.79292868959348,38.80735619269314,42.6698868961822,40.932899425906044,39.643468513093666,43.290889857686906,41.473436136332786,38.733991342909185,38.03269472949569,38.35025263706387,34.95291933044161,36.84639750321644,34.4143257067358,38.67536374695276,35.82894753988952,36.63363222241296,38.95442530461892,37.670448173389744,39.81004412435509,40.24113826098226,41.693826223759665,41.966975252464,43.71611149608227,42.18078908845016,46.75432631638775,47.474819064220874,44.64998015301709,47.77043194143369,49.097149965980286,46.48266985607405,43.00484746150811,43.761779569684386,41.86592776230156,45.677720261719166,46.57330890095782,47.29719872317135,48.09755764414126,45.746515743459014,51.044656885362194,51.11009610436197,52.18187058250487,51.041746774338726,47.71085954224712,52.18352226828886,54.70749600084582,51.928686378232136,55.04869638712509,53.75262718145204,57.92788455004661,55.839948562772555,56.81016071260327,56.67465299385596,53.9045424503997,52.913155828371615,50.90852725426376,51.511334270314684,51.71874794566309,46.93037851592503,48.1141917454381,45.145643433065516,43.74228966448923,45.59237061155382,43.76938171498765,40.37686974099067,40.725670294224265,42.41465652050005,38.12913147996721,35.3734574088068,38.57037860407335,39.30081924216639,33.33850275821475,33.738854078751,35.714778982730856,32.48215507579452,29.353898458903114,32.414805798047425,33.32237516898696,37.468969045779886,38.93798829723817,40.208395165193686,42.48496651285725,47.76568046046302,50.07321724100939,52.92720756948794,53.17394527420967,53.59810999306075,55.981740042011246,53.66507671330213,58.17464203175955,56.74228433238203,51.506575948515135,54.86615714044141,58.24066523724391,54.21156199656312,52.33426743909646,55.464020919305554,55.13216942713744,50.69972440449198,50.397320691459626,47.28283096355913,49.713739170545146,52.381736857585246,50.70032389868776,52.483732579954676,53.863118597200895,51.4595086682893,48.36035148141253,48.8295808943841,48.510582730685854,44.54113037306772,43.2722410226582,43.8240763428477,41.193309066855356,38.85426433192988,42.82981942802019,41.76152820883887,36.958599802500125,39.01519498225096,42.750240655129545,42.8962079971515,46.54249100892016,46.79200850743481,50.588997159018476,48.01138257999527,43.47864486068362,48.0241418087843,48.810140413801726,45.364924435890586,45.2562209653373,50.82911144352382,48.775703947727266,43.98921436997216,47.27668157953567,51.23746606043149,48.18300936943832,44.75389794757889,40.04269588643778,42.92210409182781,38.380132048352124,38.36577732041299,33.76751909791757,34.77839913196364,30.615118057532413,29.902047119619972,32.82908074072329,35.875385357064744,37.539653043143645,39.31397809834375,36.41247456471751,39.87342929628897,35.83269774228003,34.32975626925056,37.494478407283886,38.08818305660784,37.585197614157046,33.511982253123215,32.8140486717481,33.01324082621295,30.941763217433827,27.55351850889679,28.84925536980059,29.358675665306365,30.683935301538916,32.92781438348415,34.87480650599631],[18.691022681404093,20.287349205329853,24.351478381502563,21.29704994669752,27.15622481098046,24.00537058829052,26.41742119956961,29.301718848760924,26.755108206983852,28.760372966179283,29.894442698031504,32.34280788178214,34.033979774839366,31.134663715552893,35.520266921601355,37.952177873217444,37.255098286503774,41.099438937030484,43.278171869741485,46.461780079979285,49.26942468570399,53.49268172029631,53.877325450626586,53.3257312060745,50.74182061612358,46.597797384781934,45.38478381698075,41.35927665512316,41.908291427619226,41.497049732810744,42.853584719724495,43.080703366085906,45.51281477375524,49.365582262424745,48.10604067457046,46.74850001997223,46.44808780716962,47.5310676784946,47.65910393888942,53.84369010024207,50.9781114857796,51.343211433735405,55.77076651783165,55.90363595049892,57.58803870468409,56.62779127637153,60.852632338265224,60.19262237319361,55.82159419655427,60.25389658185173,62.63312316165802,59.7755962978773,63.495585414036604,58.118300349396385,63.33112575365937,65.22508839275638,61.01666055180076,59.99160985205446,64.64683408362279,64.37005872147151,59.75863415919335,60.19193080350457,57.7057469914267,59.083603763010615,57.583094252101965,53.924686960982655,50.002323195282806,47.10866806634476,43.67298226014366,40.82386568820995,39.606464565971265,40.808929542387474,43.23055496981984,47.48298632554271,47.24344581327367,53.22543770300766,53.35932933654512,55.806596122432204,55.529130133629494,57.455660299643775,55.93031938287249,56.37240451978082,53.45363945304424,54.5825507337178,52.111976730173225,50.302488208242735,51.75360030387443,51.81588737440306,50.92353217030904,53.00375020997861,50.02062593011503,51.847327110836225,48.07646034574221,45.97676353448134,41.5303561860866,40.45222556583516,36.44482309669786,40.16321498610765,37.94063596599695,38.92157878207415,42.32718245411032,42.00660754180145,44.736224132718554,43.23920852455879,47.251762476907636,42.39356384331499,44.844669877900095,44.27792310397303,40.02846498695395,39.719471708133504,34.97652124560654,35.962862621207414,32.12441800832407,33.37192628575536,32.81887155814619,33.237583019544346,36.232236709526674,36.59138807257382,39.91866068844051,38.12910198625615,34.81527849579435,32.293502591153,30.546312593215625,29.28325854542758,27.69553192026774,30.942725932320513,30.22817034171867,34.156595916902475,36.71879022588378,41.367076736769164,40.9453798388859,45.147401431584726,46.308134392384986,47.01882882204459,43.29348623241391,39.24988549518351,37.13715741761648,36.078933558274294,34.599055653784625,37.42449727933589,39.09403934401423,43.20915329709906,41.616210566449645,39.8778610936047,43.47163069251471,41.5348904595993,38.585329021540836,37.57820341482372,37.329179357972,33.79065462519502,35.02538848449493,32.762657009639234,36.67029145080099,33.798876453037145,35.30341768009007,37.65146438498384,36.68959371571524,38.33935614478719,39.40580054508863,40.2463074461032,40.83865852966713,43.256566947840504,41.72112604906525,46.33393031893783,46.82948483425368,44.04812750021999,46.681909176560325,48.035351060303086,45.01959425241879,41.837360659895054,42.37077490863286,40.82475278565121,44.63527939406682,45.50158329365235,46.378557029792816,46.96075164314228,45.03711372675686,50.11811793105268,50.314065465974444,51.00347090484154,49.96080366544241,46.110599991268494,50.528424743443466,53.129122670153556,50.62373169518038,54.23352237856486,53.39237046701175,57.47830498840167,55.71262306686295,56.162216003070036,55.78214950775693,52.892049890589654,51.461714964968266,49.14149211784783,49.38983771225516,49.20080379099481,44.31220112723013,45.0901138789511,41.78625230932692,40.435554095238025,41.75404753246908,39.98008376712821,36.82224133981622,36.759162163594524,38.12945272059598,33.98827740627202,31.257197747630297,34.020599800953356,34.61678640507616,28.769732197626414,28.90931351947741,30.607352385601562,27.52366797514429,24.34849517699482,27.084374767609187,28.246277105305474,32.071931037873924,33.9351669473077,35.25667468584931,37.294357793233,42.630091067551774,44.67099789650594,47.75742171663722,48.11101801380538,48.78549062592636,51.324837559932156,49.28501492581233,53.83186470158339,52.203563785651035,47.23825509851293,50.79415887905785,54.058889839613826,50.077764698320294,48.470867611831885,51.8366182519813,51.31559908131259,46.82565553101812,47.08534790328272,43.58099708314123,46.26992713273966,48.68534026683098,46.6816772995855,48.60513855405372,49.73225341522553,47.701432467233495,44.52399020970541,44.54473926990949,44.45728976538695,40.70729815107552,39.02066808476991,39.406793165675,36.87876228043146,34.36721257174202,38.03300729444092,36.94388184264303,32.15016408321136,33.93426416578284,37.56505225634074,37.783862033070044,41.5723910954486,42.13258732656868,45.81168678340302,42.96538192483028,38.69425081181923,43.43234556177403,43.97719765338661,40.511584029108114,40.820277274609346,46.26468576870335,44.00768078506489,39.48727131398238,43.07661411771004,46.803335061768855,43.651821196803574,40.41173136512637,35.76653648045298,38.62701650633279,34.1609525307402,33.6440013936639,29.303799914650675,30.28006252987331,26.216193562212894,25.76267788908927,28.933878199360546,32.073380545543095,33.94879292864673,35.435195833291964,33.0301722111525,36.63694076646807,33.01853496092784,30.889229942794866,34.128473212487755,34.35104010747614,34.33100570057236,30.300564423778475,28.897981503250087,29.315698334774787,28.00081981739785,23.883124437547554,24.744991963264138,25.734600885814768,27.201216471014586,29.42029200765184,31.38663473670619],[18.765199856412117,19.309105762005466,22.53167300842922,18.412741604027506,23.901664738844,21.694381958647778,23.60702850599142,27.061499211147467,24.51634687471307,25.782634185924984,27.310472313237792,30.302213784234535,31.040646355472244,27.886785524688758,32.56185759823122,34.921163511362366,33.57052670828564,37.30571863718115,38.99821622047469,42.26325082188834,44.85061524202909,49.02461934000303,49.20097900602575,48.42209829560091,45.96222496389927,41.87791669086985,40.87688916604505,37.024170822242574,38.04474220778219,38.13014448772292,39.78732168100722,40.331946836955744,43.11220804685272,46.669173928191135,45.097276732596875,43.29221098664583,43.17229711353782,43.59490271427111,43.48515296195005,49.70586078557177,46.42975467954916,46.881807996251496,51.3532458278304,51.227297979591974,52.67059277419305,51.533574092502825,55.755860553714015,55.36138855189164,51.00298348327977,55.31899679971802,57.94146559709177,55.2241608993119,59.10933627757901,53.844603727417194,59.3197489794908,60.94411193676049,56.63823486097428,55.97859406727504,60.59874332290845,59.952819433825546,55.43509426355802,56.1789890426656,53.95571415532418,55.06027016011902,53.321825089151254,49.84543706822261,45.86066310097241,43.27259899388998,39.65955432894632,37.2179116474471,35.756421744039365,37.10258809265015,39.77340118840956,43.72748710490028,43.79142804305405,49.89078071465186,49.77156535399504,52.57115115442294,52.08448213507472,53.729204562592045,52.448334320412975,52.64705384706587,50.113833603513555,50.996122113102004,48.19329289704574,46.584438611194265,47.92639330806116,48.51784824581832,47.330544981039694,49.94534831186684,46.87818083257018,48.902081697600096,45.325031465777805,43.51009448760362,38.96622914346336,38.252939976146735,34.10932354807851,38.021409128836,35.940116302038724,37.59537932069364,40.175514851523154,40.07798423692709,42.15565325828553,40.79918804864498,44.43577205600564,39.54995104391675,42.24030135336592,41.36818869023726,37.25600229906305,37.19473255531819,32.316317193786766,32.76886009139834,28.98612070183837,29.563482927621735,28.973473759253654,28.854084159834663,31.82167170047268,31.701459438554977,35.208403757416725,33.89122518528994,30.440888239555118,28.14289525250841,25.892138551667195,24.933951474908536,23.830115730503294,26.86827188502782,27.063527221531604,30.607763804865453,33.36119956957217,37.9950400792505,37.36678601641613,41.76842743875717,42.47432335053701,43.46940476155953,39.29613092202994,35.18956120545225,32.94016122146691,31.535514362785882,29.730780688031412,32.623184348473586,33.83102807752886,38.0067212293492,36.684062270235906,35.12481973071586,38.915800027682884,37.354073401763635,34.3919732164381,33.91302806563027,33.99441627081475,30.891421194863945,32.67834650686296,31.007398680355415,35.40091061216173,33.3773430016784,34.40501374571652,36.15306221594877,34.577009012257605,36.10706994577973,36.64693611904663,37.26748785633633,37.148312919224345,39.428178111716015,37.350491543077254,42.058215263654496,42.27476536988833,39.1264273739951,41.99983195503412,43.118211111357056,40.272745809541945,36.99466167873176,37.81142845313291,36.27455169379394,40.360378948547336,41.54048534817342,42.66086348804593,43.6849532561713,41.828631188132924,47.09806560134522,46.77448641081917,47.61792959004923,46.061141215648334,42.6337872733789,46.76500982438014,49.14547381138338,46.453112077942684,49.89865953540811,49.01922186461843,52.91297118667001,50.763768204329494,51.390000821186874,50.96080828894607,48.29289412867112,46.95333442441814,44.821059860660654,45.3080832388831,45.326800528981316,40.53125196679951,41.73838567201218,38.708051520346594,37.634009393296886,39.45075993124711,37.999760623222315,34.48746029244433,34.511712560548816,36.51768620369667,32.436785513059384,29.134685726563582,32.5344418953392,33.87559644959912,27.730559490771117,27.927995079434034,30.316819227021295,27.448031749098657,23.875057167930702,26.99120136479763,27.410252699561013,32.07876511076855,32.76132668021113,34.12317630954705,36.72365078069792,41.85999854476727,44.503967998844495,47.08216059251588,47.477769478633164,47.7076573406235,50.136581451450084,47.83852148485748,52.16933904668146,50.59052793218627,45.268780400355915,48.68719952088184,51.85576433540019,47.70648822085164,45.86632997898752,48.951799087792644,48.42495303216794,44.004436596735424,43.77949564580587,40.78532247161793,43.55045770699465,46.27377327499098,44.79974143307801,46.89078818477573,48.56982331124204,46.2942659261471,42.84925477620932,43.592363856793874,43.68580836722217,39.525198775349544,38.031299658541364,39.10000908094936,36.71057125823758,33.9376117124125,37.99812242121572,37.42436283685406,32.65307627486447,34.233413313224204,38.054505176839406,37.74739317829768,41.315422858045416,41.36191166608081,45.00675211194909,42.46266032455001,37.697107194707804,42.067106464505756,42.77397612133791,39.290268232230694,38.94245888239413,44.47631891905109,42.40814605107947,37.47277010838766,40.65150334873123,44.62245658094496,41.57416311538603,38.05608296682164,33.33332670533304,36.21935788205074,31.683991706208804,31.936370433819107,27.176401372973896,28.31783666722653,24.28870458307536,23.205428360378665,26.05260245058201,29.00797275937973,30.69564404481505,32.675176417627014,29.95123043076553,33.597870465944844,29.788815038637328,28.451284941557553,32.163590410258,33.02836357772421,32.96214046192405,28.40537717138295,27.797972233244998,28.73012280197067,26.526217760812887,22.676757735307593,24.616435598389653,25.943382859806736,27.31229315149629,29.858714961246186,32.02632456484782],[19.31488989227498,20.456876895355386,24.361052947715894,21.151407743834383,27.057440790208624,25.313983507745416,27.864238929775414,31.35403434859529,29.298015633358684,31.014902590162862,32.68192996221475,35.41815881985129,36.33783785453699,33.45513221393456,38.17869032067547,40.43100830092271,39.10025825936352,42.95960853060267,44.66782070161232,47.83192467047056,50.448381138528404,54.53602243193406,54.70898835901661,53.78891800420793,51.304733579614215,47.31324629961248,46.23231058139971,42.41677964003916,43.51374533244498,43.50310351276162,45.428804018958026,45.68889654906708,48.513122118415005,52.20829535216875,50.56147198172962,48.81978728700089,48.455731662129146,48.923703277818184,48.65405252869632,54.74355134502187,51.49796094243978,52.216047485853764,56.67080486384328,56.377070489011466,57.78572375618898,56.436085650692085,60.6428919266963,60.37237144656318,55.83914320799243,59.931946778665086,62.65439075509206,60.10090553048762,64.11925948525074,58.88901257288329,64.42707817885288,66.15979241924691,61.89709819772596,61.32837812480784,66.0112858837225,65.32890494143894,60.924851969893595,61.81050797899705,59.63605457750714,60.798097712435066,58.959863969709474,55.464218017337274,51.59389561801688,49.0185760688867,45.46157173012295,43.050787449177136,41.6085321721921,42.974612908717276,45.6494913501266,49.585179689574915,49.60321276387231,55.71356740556696,55.4985264190908,58.27190126887569,57.685128576879734,59.23968194758901,57.801886283513035,57.80648469900469,55.112188903216726,55.81768173052138,53.030223552838315,51.659597383741406,53.2418818491911,53.819056674176366,52.86995044267192,55.51926668943256,52.56730373834775,54.66866216424458,51.05207918831494,49.12873264190913,44.5597003320346,43.84585430436466,39.68951777859109,43.37285926837587,41.091410290637455,42.31036699214217,45.1599043683938,44.57995818029247,46.93692540652252,45.10914155955426,48.595950352571705,43.47078928792804,45.74006513694655,44.643407317445494,40.3350615500688,40.609686597711274,35.813274833934926,36.877885058199666,33.41067606327989,34.19525807282252,34.12414911425267,33.98558798731831,37.18394219528962,36.9395901711885,40.73758929956966,39.52861205023891,36.08603204264884,33.73269781072407,31.245006662922897,30.110894271293436,28.73721363195524,31.26156324575484,30.931639442214085,34.43158609728765,36.81215283164337,41.646331165583526,40.489261916052826,44.79990077812216,45.79773151828182,47.106467777799494,42.9766656039346,39.131720091487566,36.3033768078357,35.52014365778953,34.028411408935554,37.218078550916864,38.458422853727924,42.81481619342663,41.80081619347473,40.133724601187986,43.97101452454752,42.50875714844687,39.44747875628556,38.93560619144928,38.71532157580093,35.592038764463716,36.920195460659485,35.352649058712004,39.41555168770637,37.19661620570657,38.75679709851929,40.64637943429805,39.3448225056564,40.57670076585861,41.51790699043446,41.71103799399145,41.67855093065354,44.37091487614898,42.10266451583338,46.84829781389398,46.73036984726348,43.32710358263687,45.91332722366187,46.752439941479246,43.61713039859596,40.66382837273643,41.53609566552469,40.42232023164841,44.66857435362106,45.98018281371116,47.304086137170394,48.272665484972386,46.72076667375424,51.84979078775431,51.52995180470406,52.13124244508298,50.49108094242676,46.79790548750993,50.72782567666007,53.047179428178794,50.532392350532746,54.30486410908549,53.76045241373935,57.45126249209951,55.25893051328977,55.59860756043365,54.866945327514806,52.32174562422063,50.57456467169945,48.24263491948086,48.46797650578751,48.06741392438004,43.238393619316895,44.15999225612641,40.76643404234005,40.04728845725587,41.218830859245564,40.05661637220792,36.78682214230923,36.07029579755265,37.826392476138466,34.0875311568894,30.468238332414657,33.29076732949436,34.7486722117611,28.756809309163145,28.291804352900705,30.314518510314187,27.9368774640253,24.063853821361658,26.258071781452163,26.90653208621167,31.17858916161546,31.890480111517203,33.830512404998885,36.16846631914589,41.30717454034586,43.39060879957545,46.51713427794289,47.38878151388303,48.04184274646765,50.811880725975286,49.004275507483996,53.27226744824937,51.236762642985255,46.31237278273902,50.075923310850285,52.86728389135169,48.637849365436836,47.259523033123855,50.57543020256158,49.479725945049374,45.009414182197496,45.619953850892884,42.370356950086716,45.74610472889637,48.21232198590261,46.46362312835529,48.867140833353936,50.29080531339814,48.531908399798404,44.92265246082205,45.124588180021256,45.59470356176309,41.72333344058735,39.63660230594261,40.51203740077423,38.29012658705455,35.25774283557489,38.77971778984678,38.172420814515,33.44427381130478,34.48038846455591,38.06400466349548,37.83467267803744,41.67908292861683,42.252341071128775,45.611738751643585,42.51842245979996,38.182589904029356,42.79855436367118,42.924701293303904,39.3331753573485,39.60874668492179,44.81537438781438,42.147109137055786,37.59237495351009,41.23603037699273,44.64783239520596,41.1667397063705,37.900229154281426,33.29388990205051,35.54748933066465,30.925364437441157,30.865371769244607,26.75215788632237,28.5218222325736,24.990682119175844,23.527252577187127,26.771638786063857,29.460921325360854,31.751653172894056,33.81924052288027,32.02195868174794,35.97958486307019,32.77227302401381,30.932907888550613,34.89946240260236,35.38124051441153,35.9016437710952,31.385480397378718,29.974410496550068,31.188116067744197,29.850972250533307,25.235797983588093,26.586640137748056,28.38232972556546,29.857946141561992,32.20999936210895,34.29842932545338],[19.527951056705323,21.094284960284085,25.364879374787265,22.8636688720653,28.919165149199763,27.243497029591563,30.158644784750688,33.548384997692004,31.78297977390962,33.850128887648594,35.55513335256094,38.05633215384234,39.19953545105475,36.546227600969196,41.264833281425005,43.438246881802996,42.23191975282278,46.20838935983793,48.05967429477467,51.11370357713146,53.827066827954454,57.859939303809895,58.11367138975501,57.171456686377695,54.607286445907675,50.66293247876171,49.44640505407101,45.60574333791762,46.63721492322551,46.46156848683604,48.54097518666912,48.538565545427474,51.35154444591326,55.183087189490195,53.51915913993489,51.9005536093211,51.331207282388554,51.96391138453748,51.64908810120989,57.641624008321834,54.533617979013755,55.401373048193754,59.830870167176904,59.50592321261284,60.981253944004294,59.564432171890196,63.7609106674171,63.463666795916744,58.81994183293261,62.81857245572444,65.51233178228055,63.01418210692925,67.06269815508927,61.825321935746395,67.33025931069795,69.2063105816968,65.00363101468278,64.39777084829234,69.13394331577393,68.53200217510272,64.18588539949053,65.10024633854444,62.902186795557476,64.19527257258089,62.329133532197616,58.757692055604565,55.01646037237189,52.36452287643884,48.91881036964511,46.44074342744181,45.090448598458856,46.51103197078416,49.091391549212446,53.06329328424642,52.941456714087956,59.04763232615956,58.77195347723253,61.456994641309244,60.818258795144594,62.358692387625936,60.755419733799144,60.680239247483044,57.80599241706726,58.45254839162176,55.754779501913404,54.48440233315599,56.24573228708045,56.704995824572364,55.984892449040856,58.56660090369084,55.7285768248061,57.885829768402374,54.21125239456716,52.15963415550612,47.57876721454268,46.85169595434161,42.6927408950911,46.16196939116379,43.72779956451227,44.590274701878066,47.683467604659995,46.774515565063595,49.38287649467205,47.26136072300808,50.71519788552347,45.4862674526347,47.4752732445904,46.32993582816357,41.92063980721194,42.31503295015547,37.62239184493458,39.09666702777851,35.804739942934354,36.82891378983297,37.0517144958983,37.02934055585982,40.37418623253088,40.20408408234178,44.15827995766105,42.873172218436636,39.47424902270525,37.010969328673305,34.500577100071176,33.17816815937936,31.552224030368908,33.85027278190101,33.06582582661732,36.597652140924296,38.73487335285912,43.64140713407255,42.280448397009955,46.47133510687016,47.72174504087816,49.10930717172553,45.13237395197315,41.45167479714459,38.40193999537932,38.013443688445676,36.78014536129715,40.08515401789613,41.50971414450744,45.936327138835274,45.00290102068758,43.20746906408346,47.00673096444543,45.502849068241254,42.38936827178525,41.739364525373304,41.28140463766895,38.083172799167386,39.06120477208669,37.48370993274272,41.27142822537787,38.87731138379768,40.79003443303171,42.80628259519916,41.747054048184445,42.81012559150682,44.06233911696622,44.04436115599539,44.20304346174474,47.151310650047925,44.91423703945351,49.64605855633796,49.4234314048432,46.01570425679612,48.37116741977281,49.15218637174198,45.83509239766684,43.07920465717401,43.88087800772378,42.974653753836854,47.209417574179426,48.5056075072711,49.88079779661874,50.72165160334316,49.33910617989259,54.33834835031719,54.12326822180665,54.55081867328951,52.9844010585519,49.059832602727965,52.93749430236483,55.27439315136283,52.90868931760922,56.89192383672944,56.54692851422551,60.17413843160573,58.089405150344696,58.2120572283365,57.34280639335165,54.79295486692222,52.818136349419675,50.340315482835926,50.36916135248967,49.71295544028688,44.8695010681553,45.536004683771125,41.92632209888598,41.31474355632142,42.05215091799244,40.972967163828145,37.92601377316557,36.84085730773249,38.319820681111224,34.781496716233214,31.17949523227407,33.54386200638911,34.892884190746294,29.12720613706744,28.331724042320403,29.999326125596294,27.882759618700682,24.017852513283636,25.613543408636893,26.519181157500704,30.33565110751189,31.31748171682074,33.492764057639114,35.54863765596807,40.679708181035295,42.343279324505666,45.820650806062204,46.909860767069745,47.857806472969635,50.800096846120844,49.300521991412765,53.5576676952126,51.30080372967084,46.681106395841745,50.617893981789045,53.23466818279855,49.034508235657285,47.940269652676086,51.41590991936687,50.06497016110866,45.584140260887175,46.70416756144116,43.22513959729167,46.84805326135461,49.10255084525669,47.11428826683436,49.625305451792634,50.80605390551088,49.36965306502454,45.7483102625912,45.539533811059144,46.1730545202253,42.550819309605316,40.142859054143145,40.79822540132461,38.66803139457281,35.57277217048328,38.70986944000554,38.01563258470193,33.36848078108528,34.12937551988823,37.51384618675713,37.41453155844339,41.4006313373378,42.33005946840176,45.52391827633741,42.12240985523292,38.140869793031655,42.91002342000396,42.71753444586724,39.111727534127176,39.83299098997106,44.818154471835506,41.84639369246996,37.61777472794386,41.54455003206746,44.61048111153499,40.93676329459246,37.89354950460241,33.418149774965066,35.36463385159184,30.79449524772549,30.363176876131643,26.734281700691245,28.704829208005126,25.472088438410726,24.039121040235635,27.46812944279981,30.048001378565836,32.61317282243029,34.551203696621876,33.278154828957845,37.32438443071403,34.47760389054794,32.24999864866317,36.204041025785145,36.37503549152588,37.20348285055756,32.8418810640341,30.914944331986785,32.183416638935476,31.441145101383988,26.47367807522398,27.348482878399498,29.326656433275996,30.846019524931627,33.030802392424455,35.02758498423652],[16.282896189919867,18.053515789410763,22.483689624075783,20.229721807047145,26.36139349628507,24.198876511226324,27.258205157488558,30.446007865916147,28.7749798821439,31.15062291365197,32.82940595044509,35.096961397579875,36.50147077754723,34.092746693570646,38.76187782840695,40.85100704360086,39.88972147275225,44.003900997763594,46.18287013412715,49.073366379476866,51.99041299239435,55.9876405109828,56.45204094952707,55.64483657435743,52.90506027574145,48.959173558841854,47.5018091347458,43.55063024468824,44.336994915146384,43.89487351672601,46.05404848711108,45.768844878127766,48.53711965999894,52.506300092191594,50.86371856384069,49.439735236315805,48.682264095650176,49.6329020225093,49.408211634998224,55.34857456620369,52.52722760121372,53.41231102369411,57.80246420783458,57.62438938473239,59.317462375973676,58.02848456015284,62.2301441030507,61.6862071408649,57.001438419204405,61.09885585767515,63.58346353957923,60.982758551515765,64.92635494009332,59.617960855086956,64.96953928167859,67.04154752050324,62.922937240693955,62.11152302583663,66.89351956441142,66.53126446141154,62.18003316071965,62.99070956891435,60.68591987911996,62.22727171565761,60.40947925009426,56.679092535624264,53.13080662789199,50.28382203754431,47.06571966324615,44.41049700409185,43.275878238173135,44.848788787045564,47.164454037426246,51.210279949559926,50.79223253142936,56.87720580926845,56.53340402516567,59.05060169551792,58.39144511432691,59.995421963551586,58.202179346284204,58.17892511238211,55.09628869864502,55.832757007490386,53.31171691065228,51.966778116072,53.84694742936441,54.06164620090329,53.583143989851486,55.991383399929056,53.29281080511558,55.51950873153507,51.77151471349468,49.55745087319728,44.96844661951397,44.26015037300012,40.094882426274474,43.310336841440524,40.748177475592065,41.358457738711714,44.632450934882634,43.56599318547398,46.37893891393007,44.17602970411266,47.76470832634468,42.57251590628675,44.51909698145081,43.55821384811443,39.13161374029226,39.34348023274618,34.697130249326726,36.328038836155784,33.008996516541224,34.3441494458444,34.6451326116806,34.92398026078014,38.35797498716694,38.53029946434974,42.524218228158894,40.92146033428517,37.6315060609041,34.959631407913,32.65935564789295,31.066552429511482,29.131573326950047,31.526565338034516,30.32238824285515,34.045111104325244,36.15196815570424,41.020402671207094,39.90984154383976,44.01314367533504,45.44697918442726,46.58467675017684,42.86479983538335,39.16948002359387,36.35646236143093,36.05444913368944,35.02055458063621,38.24202440671312,40.10438888101755,44.48447956804764,43.33340883115081,41.34939985286044,45.00240638619933,43.26723609734888,40.14431932480601,39.2071267046032,38.56491796853404,35.2056251513826,35.96485169441351,34.24971211561003,37.89328509752919,35.38820636515507,37.434620432218935,39.53246773926352,38.64788035768638,39.68407809432417,41.144136817279076,41.16254676850424,41.64324220448969,44.678473303536364,42.751340109331395,47.41913610558115,47.39784269025275,44.317654935893174,46.53209932197442,47.59005733723567,44.221225631467895,41.43975833486958,41.99422389767486,40.98741939551997,45.004847894066685,46.09357435084244,47.327709171563875,47.95488065990404,46.57098140824299,51.47150581225649,51.48038370670803,51.829446792217595,50.53468127493904,46.409014306030535,50.467580940410734,52.94704482271468,50.66716415394601,54.71403729327533,54.381303370992676,58.15052624021778,56.38525096840908,56.38826151699463,55.62264268637956,52.86439470671951,50.921945293837794,48.364546028373724,48.31119430055383,47.668832245821065,42.7730678562204,43.2793815304308,39.65128775246967,38.74283404861838,39.47070099971063,38.125354020644586,35.154540872853225,34.30614154404598,35.58476250465785,31.874003715325003,28.65779791914995,30.976751150023556,31.955246076142583,26.213961651452323,25.679427120140204,27.243545713509857,24.80928990949037,21.18176809424618,23.116423477222423,24.251626245350053,27.953597505754534,29.52144079454343,31.314778214938208,33.26351794698069,38.520564110296256,40.26581745154702,43.65014813842033,44.448421431666034,45.372383378624946,48.201902092864394,46.58589643794907,50.98086507372805,48.919742787564864,44.267767145739555,48.120145766763926,50.97732624114004,46.905153300530664,45.70516567426001,49.23989376221396,48.18948036664642,43.682027954741834,44.67858505266652,40.999184193662906,44.3211653807269,46.51994542180499,44.38140028195657,46.70587603607391,47.760475347324885,46.24590185056984,42.77319178742525,42.47089403579695,42.92456801886145,39.34895140714252,37.04732149212753,37.543879380974644,35.318459377937195,32.36519559191054,35.58276195928186,34.75319055351328,30.06031944876033,31.08510496803585,34.53870040290316,34.576504383991235,38.53633267954949,39.431029850601604,42.77802471005936,39.50636288480026,35.500874306328384,40.33925842314866,40.36980481207411,36.81613636595014,37.54116726668129,42.676765632271625,39.95069749074442,35.708839164253,39.62222039615668,42.89139395186438,39.432294604156716,36.38700308017113,31.865383275021472,34.26976423400343,29.803637593427116,29.048409871737682,25.197494309226194,26.663373084749416,23.112488123511426,22.282298369658392,25.713957975648338,28.609269013765026,30.94394300041934,32.502608668000356,30.984581707425644,34.89009841480972,31.9481892511404,29.462449696939185,33.14648722830126,33.173541862751485,33.90346103216108,29.710065059110512,27.673518086384053,28.747489146698786,28.139821247341732,23.18908596472009,23.878698784465634,25.753392643543474,27.304569050390857,29.495407547445886,31.479942874746932],[18.750052724828485,21.21940599850298,25.933195936011376,24.167103363379148,30.258137435223937,27.03143756846304,30.076685287317634,32.65863006519106,30.64101619306177,33.32891859452171,34.47184554879766,36.391415163226185,38.59261865211635,36.16937097655966,40.46757941572764,42.74084532216748,42.36864853379279,46.419264543247635,48.93423772310693,51.893382807480094,54.914289706968674,59.044366372104925,59.62520856854268,59.098526870592835,56.34010148972438,52.26329143393185,50.768860013598605,46.670471598916514,47.013385035953654,46.2284051044503,47.80205834661653,47.50463890527632,49.84347614446832,53.96411982444594,52.7341782914248,51.68149147156654,50.99389793790362,52.48880736316038,52.59726859983472,58.60433632157129,56.072633864250214,56.658655468846604,61.02695661210338,61.17963441465252,63.04479207792731,62.03341841376878,66.24729532808912,65.45515150189053,60.90519701398555,65.2367874384886,67.4896160605511,64.6713467972572,68.38452665289905,62.96899317529419,68.04875194396485,70.24449617484612,66.16749372190392,64.98600829741471,69.72872132984845,69.68593975908743,65.15397653597134,65.5636646668663,62.98431899954276,64.65669115951566,63.15949656911657,59.332251322780145,55.67024344368209,52.58740447710814,49.4078038982386,46.38697441497287,45.39155338376705,46.69210226880846,48.868741050912924,53.20697384668605,52.648565855152114,58.579641460529025,58.63510123522031,60.8471011388423,60.5160052547683,62.470983126739036,60.61360864465739,60.980411518378105,57.68552486615933,58.781496900871886,56.54408317980163,54.84675899472036,56.612384290026824,56.36010253618333,55.92435443745031,57.775739979954125,55.02876299948936,56.92314694659875,53.037036248326864,50.669254352223234,46.24840078321462,45.11505993794388,41.160124423920266,44.41126511951801,41.912955608077866,42.146135184766095,46.08632600853551,45.17432950954999,48.435178423898236,46.44728215285013,50.48416197681341,45.50229835580025,47.46425842671674,46.927590646281125,42.520050889051454,42.30503818636207,37.78006671382884,39.50111757712116,35.94690933261178,37.69982215597926,37.63333332288577,38.33636013322431,41.57282823467619,42.15165341152046,45.71403937437761,43.70737765391703,40.50666838716823,37.76555753435421,36.05480125415493,34.429352023331695,32.359555528364794,35.266906093063184,33.67500623088214,37.7175010553538,39.869691049916355,44.6020806334376,43.96831910826154,47.92923710462613,49.57660573378086,50.29831882304464,46.93687479973834,43.15167137995218,40.780698894261285,40.36983225697351,39.349449377507355,42.329817462966005,44.409029479098606,48.62465776675546,47.08456355992159,45.09384528856254,48.574951695867895,46.488306132423695,43.4646316618728,42.12856175091394,41.42979685444944,37.707758461036526,38.25639484880923,35.879419000214085,39.192431989733926,35.89078820754603,38.065285102509456,40.714244513381196,40.28532094514578,41.66415508424147,43.3386294263904,43.88317516158226,44.93777278613241,47.7793910048833,46.427790276399975,50.98674265347302,51.40361754373513,48.730698618196044,50.96134479398318,52.32275716246957,49.004642439546004,46.1154109734563,46.45638757438253,45.1977278743079,48.90580170213205,49.658468828820986,50.545531557937,50.815694757956855,49.15132127821063,53.95763982239803,54.44794167278651,54.827978565313956,54.042655100058695,49.74100361035019,54.15624514085278,56.84773391495694,54.61665204971474,58.577387876569055,58.0454337235086,62.09341430149933,60.61616311053413,60.69050193633604,60.13748455682913,57.159859768933345,55.38789044792274,52.807610563178955,52.71156242191019,52.1194316334098,47.19015398220912,47.485753179757225,43.82805001118075,42.514011097208915,43.097931609250736,41.319553681595245,38.597583915003035,38.044172232556114,38.81936620065218,34.943510835552964,32.4806406989497,34.420408513268754,34.57168596021871,29.20014257212909,28.927563445199095,29.888892728459716,27.071682218119754,24.147144548802597,25.989415066684394,27.759167867759626,30.622693845479755,33.33754114627031,34.84289583458367,36.286160697901956,41.653176187382854,42.945195787826954,46.6142977729798,47.1807760729063,48.38092179861825,51.14811679146138,49.5924199563071,54.19211446535065,52.29548242922577,47.86027751498541,51.65787654165606,54.74664587418058,50.89351038568451,49.718862551550274,53.372523109713846,52.571633002872794,48.06269053287657,49.105687747734756,45.13822063513661,48.0797660013728,50.10291819063453,47.607691946878944,49.592121106784695,50.19832824190459,48.68700523284835,45.607091193772916,44.83272888943521,44.89448239470468,41.64680370422369,39.481134108081164,39.327061792558446,36.89446826935951,34.41910165900626,37.403402460821226,36.010892322409035,31.365551589203196,32.8644989619634,36.13486131659461,36.73568982956399,40.7507432369269,41.9469511385161,45.41742084360943,42.10559038392594,38.49456053168279,43.52619870136508,43.63892247639054,40.19816771785574,41.28813848464339,46.40729562085974,43.764870239373565,39.82285498371893,43.86843095828602,47.093273212810615,43.73159597290978,40.88032448345496,36.453638581483474,38.9943627574689,34.67666704898412,33.417106568216795,29.808100811050814,30.87114238096799,27.178630055366806,27.040821625111217,30.48728583929193,33.56421416398783,35.78068816301707,36.897921817526274,35.24542244684154,38.92106101798814,35.85605496876126,32.98374626237894,36.02793355953964,35.62118448548443,36.054704823171534,32.43692217613197,30.09266134125,30.435256913212086,30.264171401347806,25.619620488019795,25.465897810356903,26.621150380261458,28.183748847419338,30.035504163066562,31.777082998382657],[18.881645474279974,21.508120476493147,26.09862428155541,24.42309099359464,30.273136955894095,26.09574762462971,28.929752898840892,30.97478558421151,28.639240504324924,31.499147805712482,32.214114329480985,33.84181305110592,36.60600772028584,34.247161599803135,38.20430089409756,40.56091915723892,40.67798215522142,44.668529790640214,47.51418323227925,50.43891848522635,53.58105344678279,57.76891148379212,58.51211324674079,58.261895223226404,55.44201348652482,51.29440064930838,49.707090396768386,45.50041432544308,45.430035972528394,44.34718777133737,45.48920526548124,45.147223715379255,47.16142504456498,51.368659505232365,50.43941295963932,49.69308313706706,49.05028499210877,50.99586724742348,51.39860843849376,57.42356231964536,55.19681915387131,55.51930979810072,59.83178719873331,60.301587101256004,62.36376086412741,61.64870829634205,65.84978196996757,64.7687953676996,60.36804602251455,64.93024404261706,66.91312252656407,63.879847195089496,67.34670595095271,61.85325610634207,66.65557271879034,68.9621529850066,64.9501093457693,63.43204724901701,68.12683433635425,68.39167951581916,63.73639751086281,63.80919241168305,61.01491917312296,62.85160207713356,61.61000876593923,57.68328286650892,54.033586867124214,50.73727632144921,47.70539660312856,44.395459006301465,43.60069329762317,44.791271308905394,46.72229108720303,51.24113228893519,50.4695296392043,56.250528361028614,56.548082050218,58.490757476192854,58.38615498434169,60.60228793081077,58.6865974430524,59.379916670847116,55.94192968028244,57.3511941184239,55.36914569413977,53.35440731251833,55.00767342373747,54.367553997211125,53.98880738610267,55.394812081420845,52.661319542518235,54.34646860504131,50.37711142211021,47.885787714980296,43.60828574589306,42.22238344637364,38.4392028465626,41.634989260044,39.20525578714439,39.229962666073895,43.56107383932402,42.86160882510879,46.37005521808933,44.66956993458182,49.070818481507416,44.35601326419189,46.46094969034867,46.34084886067958,42.04177141622927,41.371029325497034,36.94601191746458,38.549218707150644,34.773377697810666,36.832483240743656,36.414730331825595,37.51453740071783,40.554747255806646,41.56626738227933,44.7553410251862,42.345404784157715,39.29861172723035,36.47418901058096,35.327132440319225,33.63326412695183,31.452400775491675,34.81662592916703,32.99854718901125,37.27736558752891,39.55091688502423,44.07452500804516,44.01778830977457,47.87118098749734,49.59360459450795,49.85327667832935,46.81095720047244,42.90831578886911,41.10820605075949,40.47058795280609,39.45861340749893,42.13280464528827,44.49447916090474,48.49253008920048,46.54982370403357,44.52603576815081,47.786604630460864,45.37345194363097,42.47277003859637,40.78767497937575,40.07856874261845,36.10679153760247,36.57797841777001,33.697849883822336,36.83020880672542,33.046924003256834,35.14835999981746,38.12791082212959,37.97741971788851,39.66118150116143,41.40583247241421,42.442662704707445,43.948713627189136,46.54288895732721,45.751066846539906,50.162651997500966,51.034017231981956,48.84269606138764,51.103437425510656,52.83656117661097,49.647914539899254,46.5984577635761,46.696954716280835,45.12107528170642,48.47024730122539,48.88511750576267,49.42532275057659,49.40542351682144,47.47138537819912,52.19523652740842,53.07032766859002,53.521404149669564,53.19107210234552,48.82624885267535,53.57322595510938,56.454032847639375,54.23426192192222,58.02892449583916,57.26985239531949,61.588248351813476,60.43624409515603,60.60170181584687,60.32381361562817,57.10847240200885,55.60385658539854,53.066129777663505,53.01078364644889,52.61380710183483,47.682647984096015,47.90807063219716,44.38794966436305,42.602936133641684,43.36101870668737,41.12587818931363,38.49304877642244,38.49913406715624,39.023449276912224,34.86657463067542,33.11449829405348,35.06445419056596,34.57457689232817,29.388276227223635,29.646986145025682,30.415087852882888,27.061314002945966,24.775778594213275,27.106582010333234,29.14100651262911,31.725069058858026,35.16258708422693,36.13250323102561,37.39990744636904,42.84509487173528,44.20233159999869,47.709562373743424,47.817513159853284,48.954028094676616,51.4817905813346,49.69622556429452,54.47542099819595,52.95087411233443,48.45784037263946,52.03096734635816,55.491074629038984,51.845959151582996,50.452421793740136,54.085680300469036,53.76767446954514,49.27857423625313,49.95841692396235,45.87917118485705,48.23663174041057,50.23868204210864,47.61477825280995,49.19200100681194,49.60345244034594,47.8390354107518,45.12893688694748,44.290355192757346,43.88173453988414,40.730721511321946,38.96006388199668,38.454193975851275,35.79223496885747,33.79106129485531,36.911796656064396,35.16313799807944,30.531005834074996,32.669228687877684,35.96369453544696,36.884456942770626,40.76660159113893,41.862776036627885,45.57772816041053,42.5645244255726,38.971160145845374,43.99930777255346,44.50030832690643,41.198352476989754,42.198939658323724,47.49106947393628,45.252383458622504,41.29804645819778,45.196914530097914,48.70368355562458,45.65796049264882,42.796067839548876,38.357040563048194,41.37276927901102,37.19283579982722,35.73763316350523,31.898145307800583,32.344801755094636,28.29324737261027,28.843058948800103,32.131344430803935,35.49149123033453,37.334606830407296,38.0536301870213,35.89415997426783,39.24481885165172,35.87721856780409,32.89436949203449,35.32590883658882,34.75996892849538,34.7215577270675,31.54910992162362,29.318520562965727,28.998973253301592,28.816142305077445,24.733574498034688,24.213500144086826,24.625612579519863,26.146546421006537,27.84626609587859,29.462018321583756],[19.984409170031412,22.97510174076587,27.88194018426948,26.981053727696153,32.97798804132845,29.304449558355053,32.57296150444553,34.68442165922233,32.86448238206638,35.996870033259604,36.93670518666148,38.38592158505353,41.13698796560163,39.04114182404422,43.10397492201989,45.30679091163715,45.36183141044956,49.49217009473299,52.360152649560725,55.15937796872071,58.36280597226478,62.45745870335072,63.236227255602834,62.8605242489646,59.96880326127781,55.903871763188135,54.19984969704608,50.01518709113918,50.03461234934101,48.882435162770136,50.3762890207566,49.73295183178155,51.84347151679334,56.15525599032947,55.095454455512126,54.385584164749424,53.480699666813656,55.4445799422415,55.6824019820445,61.571021187000305,59.40450339692964,59.99614472294115,64.29272539052174,64.61396440527746,66.6889995141409,65.79546653194149,69.98976316756973,68.96952088698647,64.39054768533948,68.76443133097837,70.79666955024116,67.90229103682172,71.48133347587391,66.01265136154068,70.85668559780655,73.30162127832452,69.34619536194921,67.90098611224604,72.66819338166027,72.92607177448237,68.3918354148168,68.62058862762154,65.88224486586314,67.8150137455634,66.44958928107502,62.474168064730925,58.9855764246761,55.690589040621624,52.74267086951467,49.490640526413,48.72245536022487,50.026792211951225,51.93616096509651,56.401836109972685,55.54792260665927,61.361208179297385,61.48446691948481,63.41063632058414,63.15616177007717,65.25121825901293,63.15909981614678,63.63727978621492,60.0418397196451,61.264358688199,59.3128365791239,57.53568863618232,59.439184437755316,58.80017123559129,58.68196329181351,60.165908959819006,57.58532638027449,59.41520325205275,55.43163779956493,52.84711520891852,48.53345904966519,47.253620749537696,43.43855234822508,46.35013140299956,43.73133653637253,43.387551798800956,47.822458884283236,46.63937378905856,50.337759117948416,48.18671928778591,52.39415207915015,47.49485587759935,49.19535817620923,48.89082980923116,44.471780757733335,44.091333489035684,39.80614972549332,41.912058808306824,38.45601233143607,40.645634211424685,40.699342161706106,41.752725824442706,45.02529337901688,45.93485192436116,49.44911090036931,47.128031947884004,44.072902973847775,41.17587356000862,39.7553098173826,37.90098912604443,35.520453076687666,38.43015275407846,36.22087619374021,40.4083415286034,42.34562466562376,46.98996961193403,46.51429442390478,50.237702928496475,52.22756214020801,52.7205882200019,49.76880574834751,46.10761690717583,43.87416573988628,43.747059864317606,43.00682678583507,45.91749671870732,48.37033402620863,52.531078740496206,50.82821739830447,48.67671822314279,51.97365461277445,49.643818907246185,46.64767962980841,44.95126010472291,43.9768058869664,40.053900063219125,40.133820561483844,37.47588028403611,40.27649642910786,36.502217739030435,39.05569691014489,42.023086096704354,42.07201611862818,43.41136069352409,45.488929368376,46.08091056599701,47.63881373948619,50.60842987536806,49.647220500016736,54.08544908232208,54.67570818245698,52.315253950367314,54.3061077842688,55.853152523724084,52.42432028016213,49.64644476873494,49.74751730726712,48.51298701647535,51.96659002720619,52.478349348823194,53.19697274618575,53.12486420684105,51.50252227594493,56.06705300085323,56.93361340527054,57.14806200101628,56.757935199161146,52.15709639500152,56.71440177426492,59.547656865725685,57.50665200046577,61.594239263240965,61.14734099952959,65.29472896760517,64.16558964856752,64.0482445410867,63.52549106520919,60.38020331234886,58.53266898687973,55.81803545818562,55.52279962993957,54.77260620864335,49.844424570822504,49.788220033264665,45.99930750264999,44.48224353978944,44.659845873563384,42.66306265170927,40.31083075208177,39.724958128499715,39.955725350720996,36.17476357653864,34.297423084258796,35.65344146215673,35.155655490977644,30.324548467334633,30.049893259362722,30.361885476392214,27.52851605199077,25.20610699789763,26.610797840506567,28.909112217581434,30.84762559983928,34.51895679420275,35.84047798522668,36.734232072009355,42.08944050841477,42.84979313930385,46.82452731631865,47.29042339725136,48.82666847530545,51.608836831477994,50.28830521858615,54.98529804031874,53.110091616556566,49.05425290867745,52.870112548042286,56.010586335824996,52.38392002228863,51.39888652646445,55.211908432209945,54.47832802891848,50.00085922457808,51.367992240041524,47.06894673407435,49.85232813625704,51.58357979626623,48.706670078758506,50.50524209172822,50.63739613743918,49.37664279097655,46.58273556227568,45.22769175081306,45.14928101897457,42.34386252623913,40.0738476492438,39.35414013350007,36.90890733139177,34.74667004017485,37.25679927464124,35.473372212596324,31.03584897746827,32.627224084767036,35.578075493430376,36.6282420769428,40.682828336637115,42.27425456302146,45.681398021953086,42.228994759708826,39.15376944637457,44.327910663945175,44.33773093546409,41.03083156749952,42.60848896627699,47.53700776378682,44.86607630360424,41.36794088064347,45.6020169423807,48.59868450439958,45.29054489136597,42.73465030187728,38.50770255136383,41.04829673454963,36.97097371999375,35.123662375474126,31.962376128843182,32.736179273583915,29.184714178896797,29.609048396623127,33.07325912624754,36.20352591057024,38.41486580489748,39.07146235134014,37.66686170254003,41.179224575421145,38.34627620240304,34.991312638610005,37.555114939196606,36.65132870025475,37.14085024015171,34.08109046053221,31.217432302770096,31.164866053584372,31.749688847022462,27.155405314486188,26.150620443493782,27.016827690256537,28.5565355062231,30.02310625695486,31.506611643425966],[15.801788514219284,19.24086397741103,24.165856512307816,24.50261633854554,30.177148938682986,26.350806058183874,29.996739082492454,31.68703008728559,30.61651643698587,34.35654603539953,35.46373002339574,36.31349658799031,39.31447674672669,37.96927174631795,41.94540960615581,43.762235594616115,44.093401196266946,48.476979737094005,51.79462151918517,54.12493285842132,57.6477039194473,61.49555751032081,62.633374021444475,62.325288064613346,59.12706521717486,55.24336837738738,53.06637671681664,48.84739836032997,48.59815788704125,47.0104990494342,49.034716751914935,47.63693067399628,49.803925382322554,54.34317048665715,53.1247747115352,52.72459412129179,51.264694625742095,53.65457975421557,53.84419575681334,59.395200211126955,57.759502220862686,58.655599397387,62.79519245991557,63.17272245970776,65.55849116740083,64.69193030443942,68.82640400894833,67.50134703679761,62.750707204494866,67.02293900122416,68.75629185003748,65.88385811932885,69.37016931476543,63.904671880686614,68.50638850390081,71.34032345481326,67.62339507060695,65.9846032548576,70.84007259729876,71.43167923061608,67.09352929628531,67.369080501422,64.59790694027554,66.99865986915067,65.54205555213318,61.33121306002939,58.41073685779052,54.89134469402,52.473285120490615,49.11845745516563,48.744594372210244,50.45661120255328,51.8692906745242,56.2564255021624,54.84996087300321,60.59532909680708,60.33469173262624,61.999997642514145,61.497660012329696,63.48515135342709,60.953317051367485,61.24787891379968,57.259482734367836,58.39929551826795,56.75571322149128,55.14824369229729,57.45540418920553,56.49557744406297,57.02093478712109,58.374316593426514,56.2304181691663,58.37288724768215,54.3431761966797,51.46856759301381,47.151224756094884,46.13306452366055,42.31736916431576,44.433261406545256,41.46474005663692,40.410790378550544,45.037214534311936,43.14878437722219,47.2181811621138,44.55895378778699,48.66896618364571,43.79389298390142,45.045773528954065,44.87698008418259,40.46591537419065,40.05020369656904,36.10800505499833,38.81341477572482,35.756831683153536,38.45719188807714,39.07911925292156,40.51169975864638,44.026458098576285,45.335640897546746,49.1553964249152,46.50928149060221,43.722851397870194,40.528655459503355,39.21487336693118,36.87055607132574,33.944692743766254,36.43039412520467,33.3249501006937,37.52364398309951,39.04718228103944,43.56037256813195,43.153491277994455,46.52257372194121,48.94868417001224,49.23384858649964,46.833265380455764,43.47404994176707,41.34298396804484,41.77696073833136,41.61400917120838,44.49197034232357,47.624980806334754,51.74428105144035,49.98763739569878,47.47794084822146,50.487673881633796,47.95412505926038,44.9400085291035,42.85188010169083,41.3748343109266,37.39822663914886,36.765759197179655,34.20957665168662,36.39192798202858,32.64848187261382,35.759296182302236,38.698347782112975,39.17228901758569,40.076331345350226,42.723280476950784,42.91365670078424,44.95750597543929,48.32645287058653,47.70147279810937,51.9441677482364,52.565497110793494,50.626530342591984,52.110120372232856,53.89103059262553,50.27722461400128,47.76574427463903,47.482608367072544,46.42164927887223,49.523283562889326,49.79191150723459,50.44578444592566,50.01662674470354,48.73609442588214,52.91340125736133,54.06039916311965,53.934077566701156,53.8883339951525,48.886883851800185,53.444062425416995,56.39236017401096,54.674672743072485,59.0331194156727,58.900495358242864,63.02848271032861,62.42621838129908,61.87263784555692,61.30635333790497,57.96485799040508,55.91756444449332,53.00076044997433,52.39720685280041,51.41679909245791,46.54500402078216,46.03482774649011,42.13620425512878,40.39597156205006,40.12525585806619,37.93939542453565,36.00962746456312,35.396188788393964,35.07061651895085,31.431037703372816,30.238938523281263,30.992374159806037,29.85333950264577,25.60827599325431,25.42987209377753,25.158360599695886,22.278661634861084,20.668329554043748,21.844848464279533,24.60976317711808,25.732259219952088,30.402800069922456,31.233265678654174,31.665358971487567,37.00086821673029,37.54724489273846,41.52714956779109,41.731774586631694,43.42404019160222,46.127256344345795,44.93836246189086,49.70987437004578,47.945752166000005,44.19110106557689,47.94977459639381,51.19343185166411,47.843803735664444,46.982170701619516,50.92118604620152,50.39437877351932,45.98822586121858,47.595302005224944,42.94980576315117,45.48679769304186,46.901000517719744,43.68356424772093,45.314420977767746,45.08015725695385,44.06676552364177,41.48958142993154,39.66481805649631,39.55776575138985,37.12282254392271,34.717572971691325,33.61588594753366,31.236203852177354,29.256953243358748,31.39326123718354,29.41309315720689,25.15600505339277,26.77677334865188,29.538630108464954,30.872551583319105,34.884885958993074,36.69465731298875,40.07453796008584,36.64051327269837,33.93854519320258,39.163710233412665,39.2257888383551,36.099572836868205,38.00053344138403,42.793899407131086,40.327732821980604,37.2064612942085,41.48564389139782,44.401662715959425,41.37684375803541,39.08757739209441,35.10157585989078,37.960635098237546,34.28632263467203,31.788299986713707,28.90139802716658,29.017321118718232,25.58027012510689,26.892525935175975,30.20937224242824,33.470472299712114,35.45214141155404,35.42640082221034,34.25405732369638,37.485391516112244,35.05569013132768,31.14425588910332,33.220982510142306,31.84818433045842,32.58494342938664,30.03587446836265,26.615479077547047,26.426673916281494,27.876416413654376,23.21602017054699,21.457705172174048,22.420228350384306,24.00977763352627,25.301579187302618,26.602701654909037],[17.53330013633378,20.661331090185918,25.67818442030621,25.53472124877185,31.507989357808295,28.51665838162218,32.183614353599275,34.45188452630466,33.32793008943279,36.70942583286951,38.070435617620646,39.378630194467846,41.8665483195063,40.18069440612838,44.452563769439074,46.36175127432121,46.22088154362793,50.56379128164364,53.46986806145636,56.001202015851504,59.31915374770657,63.21384098666187,64.09896996979413,63.550343696678695,60.50647416880767,56.61180039701682,54.67217506734226,50.54706828468848,50.713201242377366,49.513241258414034,51.66863707159568,50.58955169832337,52.98505648668559,57.38078393847127,55.990308216256636,55.239015073844456,53.948057617660574,55.83326755708836,55.809881694589436,61.46868497414184,59.40233780397511,60.400017072848115,64.64067984015234,64.74827702608398,66.8688309667019,65.75460591016494,69.92084059862403,68.93563729989573,64.12223811223693,68.24055138871695,70.29679498971606,67.59144772389021,71.30907067216182,65.90532025167609,70.81521124078763,73.42387295791838,69.56958165664157,68.26504007869401,73.13033352187198,73.36066055923274,69.04741315039864,69.57007108126626,66.97489892906243,69.08123421449211,67.45775282853911,63.40533247854068,60.26543310670025,56.98448591482437,54.25450239728803,51.14611055980105,50.474572973989595,52.1185679348027,53.904515906523315,58.19613399840976,57.152776253423674,63.046661781060706,62.746569723492776,64.71677497951683,64.13170592974085,65.95824513695578,63.6295035835703,63.7331062484182,59.997255025086965,60.91703057781912,58.95824980378986,57.543612106720715,59.7957101164657,59.255412506969805,59.500232725566875,61.246438661782705,58.92556918065508,61.11216987106339,57.15287934090644,54.47452556515491,50.040735385166876,49.1038075524606,45.148580849398726,47.626249827433575,44.73745937734504,44.12282515056494,48.378274508355425,46.59344433621759,50.32987333778718,47.630825967833864,51.473367834284616,46.379369580824246,47.6706503334611,47.10244713713537,42.5984285703695,42.581826473736434,38.442527992835316,41.03066894798486,38.00819894423894,40.28297871986626,40.97172564730172,41.96332107043839,45.54458480883609,46.37931578728139,50.3779184564816,48.15226368378429,45.14813345213097,42.12019259367141,40.34372085769585,38.225258830794786,35.57876346634289,37.86116958957153,35.253226545046616,39.250466540461545,40.8102049957027,45.53824639981884,44.62041966507237,48.19358750348259,50.412766695579954,51.15875762695255,48.30741371953685,44.947587276413394,42.306275178100364,42.74576084205963,42.383384726914045,45.5173048718165,48.19253931046852,52.4986675205766,51.07841919995726,48.71902829067597,52.00481562397546,49.79787623350286,46.692609744914215,45.0170046907984,43.73110415001561,39.969340257965634,39.66553668028373,37.46711288196002,40.03103927398173,36.66433684119556,39.59945528584232,42.29253936303132,42.38524923418858,43.21953761365568,45.596284356599405,45.54671919686249,47.05487468006488,50.478369316494856,49.29006172595654,53.71909765792307,53.96176811151558,51.487256414555944,53.11258392709201,54.503266607420684,50.840774651204775,48.38283784003252,48.42809665667247,47.57406548420588,51.08757240562442,51.71540356250627,52.67249501374344,52.60280540504878,51.414164750065055,55.798268347186955,56.537369186146925,56.47315840122563,55.938024964199606,51.12790655073069,55.40869159259666,58.15874636442156,56.32475315257441,60.728166937018834,60.67338334146972,64.58792948116177,63.539915781216784,63.057308407860006,62.27516652829052,59.19928806529926,56.99219361768824,54.105561738862214,53.5651276027669,52.485910500919026,47.602909989025726,47.294199454919365,43.307293972413696,42.06091467392974,41.76895382636719,40.05838064115574,37.92015476967232,36.80790207413338,36.8788724628372,33.46570499345305,31.4128008504924,32.323498085490804,31.9868618611273,27.40764288352618,26.683356877293857,26.75817186892253,24.443689324996544,22.002507773329512,22.70847252501278,25.09076587030385,26.6818206945046,30.364497606816652,31.88888320337515,32.60236941772279,37.85947918977102,38.349969588643745,42.530206443980866,43.26746247940137,44.99112181904525,47.94911547288213,46.95116859379144,51.52457143581788,49.376336430769975,45.609587898099804,49.58950015280289,52.448957957593784,48.83088329072833,48.14709498599826,52.07255891172825,51.02870107403955,46.58045723072582,48.468947986933394,44.02686558572584,47.16930482553424,48.69496870641612,45.6997178787934,47.74593605489535,47.79446985650896,46.936673973224245,43.97032460772694,42.350339822645296,42.67477914835734,40.04250701775395,37.33719502714849,36.67868128827851,34.49708407586518,32.04201327467671,34.15196668140585,32.57536471829959,28.282384237895954,29.270584479388383,32.03703199536741,32.97766523714848,37.11935353558788,38.966694127197734,42.10641066857529,38.37587664980854,35.57583833254008,40.78402076919277,40.44294843081097,37.13427847114578,39.04947109455194,43.70200756149157,40.767123192065434,37.57596433821063,41.99759743596617,44.64778886615749,41.221095775134735,38.88339891802164,34.848783769338986,37.12896259553609,33.21918201173337,31.047832991277346,28.36256418263093,29.276747126996177,26.170557057260737,26.575127351587064,30.08860752834441,33.0370320961885,35.44567874815166,35.98360934266373,35.21712060351357,38.82319312435141,36.53268665093063,32.90475337954191,35.67018725465592,34.600972272474785,35.64513582122468,32.544489116707084,29.243329248063034,29.65833767198811,30.77985309561641,25.709067225465425,24.551131608780562,26.074002256311534,27.63827470840986,29.100958744744865,30.567448682102523],[16.73238246642512,19.639418792202132,24.57824507501397,24.701719260236324,30.62996626079344,28.450151876409457,32.29123391537908,34.85701071110681,34.15149674951372,37.48845636866497,39.20024049706563,40.598343886341034,42.67334224096928,41.130104825606374,45.61397620068668,47.353221810247376,46.896881987291685,51.324049647734775,54.0764817126869,56.49307459060385,59.78600729685138,63.54951895808686,64.40104724064719,63.65450925046242,60.58771086119621,56.820224889957174,54.835422303734596,50.81194518067173,51.232264184212376,50.16950124616577,52.78754273261041,51.57361764329182,54.238274332332686,58.59556718564993,56.925227751489366,56.0012451840506,54.5472450582537,56.16098717908674,55.887804872971046,61.415254110537425,59.251403471575046,60.53711238616145,64.76222021746538,64.62739033427529,66.66695452018455,65.32840215499286,69.46572590697666,68.63279949662686,63.67369691058425,67.55965907582525,69.74422545397108,67.23138169619538,71.11251620170438,65.79400374322316,70.85018995507136,73.46023063960038,69.62775342813607,68.55392801050336,73.46467819545114,73.53006384276308,69.38441038355244,70.19154797521348,67.77215399539332,69.8620240120858,68.01277463189562,63.991320951481306,61.0062560018626,57.84796051691184,55.1578691014498,52.26034705030192,51.54390931671931,53.37984867927004,55.21056088205684,59.32483749365806,58.304712211956414,64.28639743116481,63.689401746674896,65.80747040778179,64.97455110179986,66.55210644073452,64.17238923633563,63.96077944168956,60.26834228236536,60.90116057944764,58.81783778710638,57.71288963822679,60.14449412984345,59.8478338076516,60.201016236218365,62.274311615621144,60.05716486871033,62.488834423971475,58.59738765907533,55.95727091633238,51.420559964986616,50.75427795151974,46.674526080970935,49.00803101369434,46.00623142938845,45.438882137424955,49.36808647681512,47.282625371704654,50.85217018136898,47.830939195984676,51.316342402760014,46.043521638682684,47.109725023599246,46.21969976820275,41.672526134823435,42.03772578343023,37.94137512188686,40.72561279029777,38.013966260898044,40.13814445482901,41.238434975473055,42.01217969361135,45.77640167369939,46.3822926257998,50.72463028697503,48.73195828879899,45.70584039613599,42.684717261599,40.53235108797474,38.35455091763741,35.68453271583151,37.46599954894787,34.85033789553186,38.59783498402267,39.933703890624855,44.75309977968215,43.374489721802334,46.91842853444608,49.16289249365385,50.2405617682381,47.28224147402771,44.13014523315677,41.07255254958817,41.85285192590183,41.654698080486035,44.98682874178069,47.613471050510874,52.0430066223722,50.93286083393608,48.51640499042391,51.87195544603742,49.88604352356082,46.70384377393741,45.22081236717426,43.83503594326343,40.303160651986346,39.9172811473932,38.18221669440748,40.76511745573641,37.862004904809574,40.90502312982221,43.28306506659706,43.218556510794585,43.70806235875567,46.119963219758574,45.57971066533293,46.81502557155256,50.50935754700746,48.96536496738609,53.4291891949154,53.30949277502925,50.579868809644076,52.02540222643679,53.167717606355225,49.372194581058906,47.145103779739,47.279048919813235,46.74070215865257,50.42242875708332,51.26010920335966,52.479039583364404,52.566155877828415,51.68564309700572,56.02458309176551,56.50221337620425,56.300654267430005,55.47267556223263,50.6534452923297,54.62611702934313,57.22862376367022,55.477662849957284,60.061005983142636,60.2745816398134,63.94253140764753,62.77805352276125,62.10286578099312,61.08735247321128,58.17006679632514,55.70218280154313,52.744970173052906,52.09359193363222,50.79872635003811,45.96913379784694,45.60715232136294,41.509824066264706,40.63305766379746,40.09197178245781,38.76681449107395,36.66575794622803,35.06596787441401,35.24368024657327,32.16724788521224,29.659406574876535,30.400201662186255,30.54373530081358,26.001937696057915,24.807364819930008,24.94843954397,23.21563917034315,20.375202076178933,20.495271805618376,22.669081468431465,24.32803602265178,27.473794070245052,29.37608813499721,30.15729704717876,35.291681212711104,35.71032139582168,39.99046755122796,41.089006897334215,42.86364740175375,45.99438098898634,45.218669716009344,49.61539571958109,47.17628122879403,43.535603222088,47.67196536753781,50.212422316516346,46.4900555046995,46.026583953180214,49.97016409000267,48.564371731266846,44.145042570080385,46.393604780342685,42.00101002104619,45.56954374265401,47.034416879775364,44.11476435397408,46.47244397768854,46.64372624749212,46.04907670402862,42.818217400805146,41.21019126060466,41.95143469937236,39.3113516520073,36.27269723061614,35.90536072766063,33.98083158303868,31.156142521331194,33.06618463618197,31.850771475995064,27.65916893738964,28.01523658204382,30.698798323129388,31.332253930300123,35.52742913405556,37.456405507016264,40.340237231245524,36.39002025451298,33.65250795398648,38.81103775086097,38.138096085767835,34.766703112483164,36.80777303800072,41.24018852587979,38.01150195533152,34.93936826779627,39.46929013457103,41.83389817952078,38.21516443713079,35.9696305876654,32.04722879590966,33.96383904336406,30.08035367977967,27.894419251784363,25.56371268026662,26.860892449101637,24.20309553058969,24.223827278773676,27.771844380992498,30.451856573665008,33.1029814722336,33.794025206694336,33.558690379678616,37.324767738923356,35.43097098886531,31.824641765903287,34.96723921522619,33.971014382517595,35.45074674104635,32.12107363398645,28.688450148222575,29.65790308967167,30.90382705841314,25.480762873996287,24.55474883541967,26.689687813148804,28.260983611724196,29.81014343855226,31.357810516618937],[15.442084384463953,18.022475390091806,22.909040689158687,22.11782375761309,28.221618508120876,25.93622410583328,29.532027179680473,32.33267179447297,31.23988563505777,34.266305177867984,35.959523846098804,37.674173572950544,39.54044624214735,37.67834008829404,42.237938246066086,44.115866787625826,43.4978889412392,47.82581790980957,50.399622241082106,52.992238825953756,56.16393354230243,60.02580048504815,60.74698517796971,59.99655980749181,57.03879675410482,53.191208761575844,51.38801420278549,47.36885748314136,47.89858436831745,47.04418938160223,49.48104369302754,48.60573766853478,51.306410312583026,55.535849134418896,53.88421619620041,52.78542145428518,51.59093607136803,52.987627491319394,52.75120099565887,58.45469609205857,56.057330500917836,57.1772793563691,61.47232926580576,61.34291479179338,63.27319976775549,61.97397210114391,66.14180947950055,65.3926504070812,60.53814652147242,64.53383759415307,66.81627592523365,64.24629840791151,68.14220492955613,62.808075558759704,67.9700628726374,70.38835878451982,66.4432763675704,65.4440496077243,70.31270099902913,70.23694668670547,65.99656588903659,66.7852276195395,64.3915587951023,66.29034897312313,64.4653517916315,60.53699930698577,57.338668346769616,54.27518560750364,51.397196462317034,48.56336435838878,47.70762631888668,49.45385409217004,51.44575018381855,55.553470911016696,54.73678337092797,60.76342695924004,60.26856132482252,62.52637195121642,61.76799886605637,63.373848188545786,61.207655849886834,61.08842103346527,57.61021802294957,58.304271704967384,56.06370312676412,54.84111300251515,57.063492106220835,56.936713778566656,56.97991032721986,59.161632497314926,56.75881358425231,59.11207656050736,55.261512277274775,52.76669557326644,48.199748776249265,47.50820425823179,43.384648967720004,46.05176617785333,43.20240917566436,43.07486655972907,46.789598911464736,45.09935245167225,48.405848491158665,45.704803904579535,49.278516103820294,44.02022796206888,45.454544701234575,44.56208192439015,40.0362263636738,40.307929243427196,35.961293216912104,38.31265613087714,35.32815737994227,37.196416955094904,37.986048087754504,38.61202270957657,42.26459124281632,42.74962884988671,46.95800529578936,45.070818764341766,41.94888112692188,39.03113450115473,36.85126710766167,34.860170646967276,32.422794589667475,34.47740303659364,32.34523560941537,36.14366658678664,37.80182735358695,42.663566343371286,41.428917296599046,45.212523809613444,47.155887318097854,48.22429578476183,44.97589825564748,41.58253654813219,38.645200284186906,39.0000220951259,38.491803333730985,41.77798658922079,44.162810274153145,48.57298146823659,47.41202080163756,45.14059515752437,48.60345531298777,46.67911167432932,43.51205482241927,42.20020954637127,41.08431444325272,37.57591889256351,37.62196156323343,35.85103649142058,38.86632267736439,36.073335193942285,38.74622295908412,41.04664027450993,40.67654238311475,41.39673687307233,43.46112791144255,43.1628159166637,44.14593895783293,47.59245716781003,45.93688241892696,50.486926981908745,50.440029464944665,47.60607436684688,49.35367984905981,50.503871604315826,46.86493357859495,44.39730532609518,44.66962422888117,43.921986215455135,47.72203409555639,48.633840559551224,49.838975177585645,50.11623110138597,49.01878254053234,53.589656014504854,53.911927660241425,53.929607621436254,52.94859061567228,48.371635313318016,52.424105316456014,55.005141597540295,53.040622905098196,57.41997849415605,57.40653204051333,61.145790392868555,59.77593699611022,59.365836215141044,58.46823718995831,55.58070143848228,53.33031799819856,50.51948403034457,50.10418605202553,49.08090522032015,44.192450498766966,44.16925901499426,40.242456002689565,39.300289321918534,39.29369043661704,37.90523943625918,35.42844505464624,34.17091342018814,34.79052042115468,31.377020568038265,28.598003020350763,30.02076607025702,30.46857637366649,25.333737663375835,24.449483641650104,25.209567372449595,23.066346045659806,19.841671046592904,20.848697478296653,22.644594983653178,25.251584904909677,27.825136113848725,29.645509480350302,30.94365543639308,36.20600530155664,37.249817545721044,41.134884938560575,42.053748171196006,43.4597969346441,46.459615880074765,45.29171422634433,49.73191104431655,47.47844769432451,43.37089615365533,47.395481370776935,50.123239760963834,46.25024867221849,45.450443248085136,49.247791878271876,48.031519696277336,43.546826208053666,45.256133602925566,41.10901484373393,44.54858707508511,46.32590576654382,43.70090812221794,46.02737862747969,46.56025352853764,45.54991257041876,42.22066440762801,41.149505948089605,41.73750046841326,38.68222425721417,35.95470639543623,35.93019770729271,33.83507383915226,30.94953917269404,33.47363594241331,32.388497042753514,27.907783962583014,28.62264702000724,31.701310973501286,32.09926163392653,36.22681472412239,37.708952260733334,40.84569771936324,37.18778656504617,33.85758428924387,38.93441991647505,38.60170226020647,35.12801453471743,36.611335153888476,41.409488113970475,38.41550415259395,34.79914573125945,39.09937976521806,41.90475408768782,38.36059965625087,35.74607541693005,31.514799436975,33.72997359734415,29.560918955076296,27.924051579852843,24.854028884925956,26.17352171619731,23.031282945350032,22.784997140699,26.350794332654505,29.204945159150625,31.723387534361375,32.73440905577687,31.920604863683003,35.758347143437156,33.39755624995759,30.17775369396103,33.53174080558683,32.928039628029595,34.08741792942949,30.3954974052653,27.476843957116877,28.46482373566274,28.984639202178144,23.67384003277818,23.360597931352217,25.403741085619604,26.993482821446978,28.82314423137171,30.581132856798927],[15.511337531887387,17.439098641288297,21.984775795326687,21.14534835723429,27.123833246209568,26.045608438966983,29.681342116927432,32.93767772700819,32.2531699625002,35.025817460610035,37.13932815928389,39.07684060595675,40.29785693732139,38.50045450155052,43.30925271551586,45.01105340827997,43.90818214593403,48.25725001522649,50.509997543191034,53.019784349263865,56.073503322260954,59.78482200020703,60.38816831076997,59.3653137988537,56.44836874361578,52.75835455001092,51.000646047001204,47.15774443046853,48.08634699371839,47.52177274308812,50.455854833829264,49.56643553960852,52.600230663046155,56.6955990122484,54.70728242044368,53.31323835885324,52.03185053424667,52.9537502234957,52.39429711242458,57.96751962769333,55.330997623529036,56.76246637853644,61.047639599566175,60.58593831610016,62.33500198772479,60.740596700962456,64.86986972633082,64.38660370039332,59.398441257564166,63.100210263759585,65.61023302284573,63.293410848865456,67.40801217880973,62.20872400644492,67.59890560300202,69.9171725352794,65.96265635389977,65.31673925143099,70.20665315139051,69.83795634208302,65.79690720931168,66.95445716184616,64.81619202983194,66.59001850487671,64.48619431620683,60.66695078195288,57.58744618478682,54.75504975772599,51.854053067970185,49.35349046920363,48.374706414695,50.30394952581584,52.42322870792844,56.26855726393308,55.59050953702167,61.71130318105382,60.88565690657694,63.38672162427879,62.34772443035772,63.63222793868628,61.508026570974025,61.01152560591139,57.70806022424143,58.0415929877014,55.568737004339894,54.722292754407775,57.07550825273658,57.35161125313333,57.39488013228879,60.03743467416478,57.6984768679384,60.309861884797584,56.58769767817307,54.22364319930663,49.55456592884419,49.19158387990402,44.93981530429492,47.54288582871039,44.64557171302379,44.74912571322567,47.93710638587788,46.04010590453281,48.99354538260174,46.0267871925361,49.1253350655091,43.67930951227251,44.95264281501617,43.61427999266818,39.077092920069184,39.844401975465374,35.49852412256386,37.89805055345731,35.26366846016496,36.769345088357504,37.97538381575789,38.2073335599836,42.019155301661655,42.10400740649986,46.685388709708825,45.19933363580443,42.02934014386368,39.21468348608924,36.516957637322065,34.573724446558316,32.26680524389445,33.69880596046877,31.835407029054753,35.236395546582116,36.704237808368035,41.66988821686943,39.840259117423756,43.66912802195479,45.48956128857199,47.031279981171295,43.50724263390575,40.32602829471289,36.84610428843244,37.490222620443085,37.06385444110437,40.59516322963672,42.74481900363938,47.30055520529083,46.57550525480381,44.32039858720733,47.91293829753508,46.34814039812501,43.10965588459485,42.164239265620814,41.05061323792632,37.91108950127053,38.0339501106275,36.881294947071595,40.04219527839593,37.90212016846728,40.53460371047898,42.390098761728865,41.70568546444141,42.06603973485172,44.007234406215616,43.16012407846622,43.64079979280303,47.316394699603364,45.117185275713766,49.72672828572163,49.19557791859591,45.94306944688212,47.57392926530227,48.34263717806151,44.60205766813849,42.371690436136994,42.85714184336634,42.4800794326284,46.56313478293834,47.807151862312566,49.36497102781119,49.94250513982815,49.17398950995293,53.75142750927213,53.65036064449274,53.57912930811081,52.12776416713162,47.68266846854126,51.310389429935434,53.65563178588265,51.71736481531987,56.232068137502274,56.488092889674505,59.8936500830835,58.25479088392475,57.70376470878035,56.52610798658805,53.90156657158999,51.38656087929705,48.55906170190553,48.09890529290893,46.89161694086918,42.081327604834435,42.14812489908905,38.167290191771905,37.75973030059846,37.636435129489456,36.79554188046945,34.23175131337073,32.42569299398074,33.405348097586945,30.38167831148954,26.83295974083551,28.311498020774913,29.60010682106773,24.36890858259068,22.944344222022778,24.083177993833647,22.665320436836684,18.79307009252154,19.295503167525567,20.48700881014177,23.62168111694678,24.978045507484204,27.346949081776096,28.981367519419145,34.038076009330496,35.24155203668745,39.06214755715026,40.406579998528926,41.72045312209137,44.89038521078844,43.88430670186399,48.055062315379764,45.480056632413046,41.384454491537824,45.55510166819879,47.8810005541371,43.80756973926876,43.18657139304107,46.92292759084809,45.24893491747512,40.79611401535983,42.78815655633645,38.86430459580056,42.85522782278227,44.674819615934574,42.309518279069714,45.041721940956286,45.88262257483663,45.07556069009799,41.37565852387781,40.550980403221914,41.63106664488797,38.438834317755195,35.41988262365517,35.92184769405472,34.13257139272292,30.788767183712434,33.235684161146715,32.68958037971823,28.330021359295422,28.33482237967956,31.385207020464996,31.26854349074108,35.37280199207492,36.76747388138762,39.61023315868875,35.80828776674561,32.36130005164464,37.26407411915291,36.59729037613162,33.02162019354659,34.414793377352744,39.00854212902682,35.69482242245449,32.02537395122415,36.34708860622591,38.902844778279515,35.104558592666834,32.4605367069489,28.272274246811033,30.00603338385183,25.72760827154237,24.424708050573734,21.567590588181805,23.56801796660458,20.96574325650134,19.869726149857062,23.466085739170016,25.923600565868234,28.770694122645313,30.214122739594355,29.950988689790993,34.03236712218862,32.06684005413972,29.1219475587369,33.064256725923165,32.74112791048971,34.33735140444564,30.243825630969376,27.43420236788285,29.14268719449495,29.523576767543986,23.93419780297585,24.19054626391152,26.898562958351736,28.443528279645584,30.418520146334284,32.29652265094773],[14.957849157911436,16.17575611623415,20.295048267450504,18.966335710594233,24.822992155186586,24.444474878155606,27.92443357254995,31.507335582431605,30.935204619201606,33.39922718214331,35.752429456187215,37.91559480447612,38.64341898612631,36.80785217989293,41.75458244393437,43.371019647191964,41.92835305423406,46.23689365929648,48.24587851796413,50.73560801014601,53.68197724663124,57.31848346544622,57.827259595759514,56.65940189400884,53.794639485336816,50.18588699038484,48.50252544815394,44.778379830119896,45.96566960514097,45.643419479611175,48.81115002830176,48.02367896915368,51.25940227888664,55.20800159559635,53.02599348834418,51.4041599371384,50.16309825963825,50.72901477120649,50.00122731343613,55.542096811105246,52.70588550376655,54.252419401870064,58.53891290390041,57.902778937817295,59.52396249191151,57.79605502105612,61.90843864643363,61.58063975737676,56.567066140128546,60.15131758188752,62.8018821888705,60.59794413779634,64.82208225260105,59.701258881064355,65.23840865069573,67.43091707621274,63.44378002492252,63.01670583558868,67.89267133742992,67.32097293980492,63.372152955363255,64.73096532813206,62.754854107201254,64.40410745892352,62.149031536429206,58.42651596103598,55.37958281210698,52.71473517922612,49.77701381080408,47.50826287916816,46.4372158005272,48.46753569441789,50.672801410180774,54.33073308591245,53.77794957547169,59.94352682781151,58.94110682705278,61.61900256703527,60.43535656982042,61.53560541095001,59.51305035032236,58.83587071487985,55.72405117230618,55.87849539357767,53.22506428410223,52.54678732877335,54.89096415068925,55.45784494890195,55.39843589050609,58.34129649388449,55.99744082687985,58.740786445460266,55.12853566594041,52.899814208315334,48.182629069027065,48.03280442095765,43.71427823651329,46.35371322384193,43.49985623578276,43.91540030247691,46.662906253037434,44.81512505278295,47.42595314116362,44.4620246254102,47.30590897871398,41.80155323354385,43.15371442011671,41.58262394960165,37.08679777871783,38.07183202789949,33.649723366745114,35.8501480016848,33.33024717788668,34.50492872937653,35.83412659042348,35.78629557210386,39.63216367141676,39.460977945178655,44.20263850124505,42.977133406332364,39.780107258749986,37.06837972954307,34.078906594299234,32.22685971013409,30.095144516263083,31.244216895041443,29.76265070746031,32.91793556179888,34.415605106595166,39.41659715801306,37.35476399859044,41.30129492671447,42.900830719349884,44.6721409246188,40.88989956624221,37.73253549579285,34.04457257881497,34.653682983000486,34.15988083214168,37.78592288494471,39.736789475229415,44.34287217825014,43.83328198928877,41.63480596869777,45.313693231434776,43.97551725888812,40.72048824899659,40.05327159304476,39.05254341690681,36.17020038532386,36.519038203057626,35.73958696378918,39.14069948958615,37.47785156560826,39.89722254895816,41.42141882124538,40.424456126879036,40.65797986142895,42.36523504939353,41.301612497968605,41.38624969616986,45.07139445832017,42.54059122763944,47.1918966140549,46.43390087214361,42.94572356911399,44.62642894597895,45.21555014156888,41.50254903530435,39.29522108575717,39.937473026474116,39.66516150667612,43.92313187584268,45.368399697620404,47.105799449154965,47.926940410217796,47.26245527114417,51.91282916823506,51.50870143847604,51.479545932358334,49.714301534817444,45.467089364626375,48.885941553032005,51.090968529007945,49.0798269603851,53.56424981699579,53.87086596399652,57.12365723722709,55.28181346796477,54.75960870015253,53.49829395105617,51.01638389205525,48.471942227631146,45.709556067467794,45.33880012499867,44.180582520297904,39.403577160815075,39.68959772191912,35.80245484054996,35.63306125262391,35.74824777821059,35.16294265244596,32.37668250632368,30.500600822189003,31.910877045435434,28.94574236270048,24.89355508513146,26.78475255831184,28.66489055051239,23.161301442786527,21.678761990566713,23.364700054457703,22.128482468075454,17.839015125454846,18.61511997985622,19.191347820926143,23.098967807281205,23.468440904716513,25.969607883755803,28.06601304871648,33.02095427715162,34.68522594576201,38.16403636782268,39.57197422527379,40.59134654025123,43.72620144846778,42.5694019439756,46.606059637880044,44.01264313036848,39.672917778064175,43.81067494950903,46.046447020184054,41.82063752532145,41.085175023633354,44.68570274447989,42.931129826785465,38.47913241496298,40.276571379788024,36.622695013579055,40.77784092095867,42.77954321022591,40.7308267538859,43.625893618661124,44.82425987521324,43.894608214236214,39.97973999469091,39.59711252360781,40.83803536789731,37.37792352073481,34.417397176827464,35.38707432590831,33.694236168610836,30.128096790530286,32.844915790682776,32.665314770749504,28.294714198458003,28.136407241429445,31.3454280435491,30.831351347121366,34.8114373824845,35.870481299930105,38.68605654119637,35.04805609506001,31.226795923152665,35.92296959168437,35.320927870158286,31.684845963879077,32.66125978261305,37.337524255473234,34.07562421835899,30.07600355870792,34.209166120023085,36.91623113358373,33.10648170562387,30.234596371323516,25.91879115215078,27.641504109451958,23.19550152360627,22.43147372210535,19.206835036424504,21.501088758753337,18.946242924077303,17.243796047666464,20.79079032825301,23.129722244345803,26.012568424024344,27.832297978023817,27.519833468459446,31.720868078876258,29.74641555693088,27.197111555864815,31.521407144913656,31.571863427585374,33.21889865811464,28.775803444238072,26.35976613792563,28.45433341209552,28.37969693916357,22.81903165463598,23.723941472156145,26.701097251787267,28.200539674798264,30.37896053651345,32.39931195981104],[16.889410670548628,17.52570135419975,21.132643205016134,19.382060257467906,24.97511982922355,25.348829858312765,28.611353246080228,32.47379354550609,31.946864267799466,34.05217484686373,36.573222006778494,38.97741771224743,39.24842606151255,37.29522266956792,42.342685453881316,43.92455052345411,42.13415918372736,46.34197321827232,48.02071187021425,50.55205905916482,53.32232947328277,56.901749859083274,57.245301051716375,55.899789534254886,53.15659604408672,49.6283249217428,48.10738291481678,44.53913628990675,46.029396894431315,46.00010872749751,49.306267660087535,48.7030826390543,52.09523916349706,55.87652870895197,53.54580141637961,51.68017063707239,50.54102341284647,50.702804955854454,49.80066498447274,55.312083133281625,52.20735345478569,53.848052633675785,58.139331811881675,57.293751255902755,58.71296646915341,56.81187074421073,60.897131367947885,60.80994139215434,55.79500751650285,59.213104923887016,62.06722442257592,60.01705023579772,64.37056203516336,59.357917593284746,65.06501694842265,67.07902656610047,63.04252840099604,62.88023051220405,67.72018061186026,66.88838665870512,63.02912124031706,64.59409233967645,62.79370044682152,64.24529041211953,61.85019395143471,58.27573879500058,55.18632709096885,52.73841329008904,49.68683581426538,47.67451529591887,46.44737041074259,48.48786789235749,50.861604233729544,54.33944045457426,54.00273479288999,60.19963492580994,59.08847647180662,61.963032346500775,60.67549513677615,61.601263741471676,59.73152795232936,58.884494150398545,56.007723981535484,55.97649353565152,53.117947615760855,52.61780546424118,54.91078746451238,55.799631942242435,55.57313586886764,58.80863516787262,56.41416060150588,59.225572790770414,55.72835368675252,53.664928862529116,48.92687858254306,48.92137850962289,44.56916215206298,47.32552970558351,44.558766965902365,45.28088837490434,47.64458459640168,45.88828241106917,48.165617405251105,45.23208478740368,47.805250910122815,42.2634763513273,43.658870099299826,41.828804787890256,37.40344708931875,38.643082470806604,34.19382325051931,36.17839798769787,33.78929400129024,34.57297925077494,35.96687329754338,35.571967665255094,39.39153299188193,38.86376268259369,43.708424046252425,42.8320116641779,39.58008974453299,37.04685055646761,33.751095386533606,32.09825066601345,30.250230659478106,31.115050232169573,30.117875091329363,32.95960901691235,34.459005573235025,39.46719222583844,37.094436896747965,41.13018253974071,42.47958045796377,44.555900512587534,40.48373860041727,37.39414665821296,33.4279545633603,34.00018004526723,33.37870069783248,37.10964537015202,38.69037971457318,43.349088589096795,43.12994623132028,41.06397781438174,44.86149665411075,43.81251890485358,40.56056319260676,40.23407729961301,39.39350756281784,36.79039330393487,37.38121781977339,36.9294590096127,40.52577058633165,39.23206828157274,41.45462350122519,42.71681380448636,41.44198064811591,41.58722492556758,43.04158294421926,41.79256750316272,41.440640829239285,45.09445767331278,42.173307928002046,46.864435658701765,45.820471331380865,41.99460651608082,43.75023752989297,44.04078074374127,40.37268409060498,38.23686231112618,39.1225747240722,39.011961855355175,43.49091547500195,45.18648340031682,47.127163858107195,48.21932118922117,47.65221488839381,52.371979737003194,51.64527232364028,51.66770449236496,49.54556957524085,45.54637593946638,48.69006801662352,50.70537227436331,48.62191469988095,53.05786424970135,53.421637214085955,56.464887546883595,54.32359995786549,53.85609262182645,52.46044218343033,50.20736275368107,47.60418485102168,44.93011208937997,44.64998653924241,43.49726360091769,38.80772232007495,39.31915828236856,35.5271415181131,35.716195453667254,35.967745063149614,35.731645723173024,32.798383813948604,30.73249667996046,32.52143803689442,29.75888749315675,25.210420689962497,27.345207315937206,29.803224412700054,24.23627399805098,22.58589312953893,24.62793539300225,23.734868891223787,19.194840644384193,19.8814589608484,19.895027140837026,24.23683338834118,23.558437490678227,26.364309880691714,28.783730679705645,33.510461718112246,35.384198363081104,38.67245768177365,40.30690501930485,41.150440664218735,44.311852889063886,43.15486196510619,46.98398853053071,44.262669639916865,39.83406875970965,43.9783921537367,45.97572380732147,41.598644327213265,40.87783044164962,44.33372319224246,42.328017117149976,37.92861198604573,39.69249974490447,36.369032965564685,40.80365611597947,42.9305811459575,41.189948221378565,44.290503077331245,45.77903635565449,44.84236000934132,40.727667155085086,40.67294849675456,42.12467412891142,38.50799963994896,35.53873963807552,36.882986204751674,35.3292020086751,31.584451260886087,34.3724879055635,34.501268054837965,30.212481456251876,29.79576217172515,33.005790629612825,32.16912364766905,36.036521532551504,36.90230335605224,39.56678192339341,35.982006376301044,31.999426110757735,36.45858244968978,35.74863947551603,32.087474564203134,32.790007452439234,37.3549622803324,33.98953285770234,29.8459217562106,33.820166770741864,36.44714637625885,32.516200927670745,29.53665724762324,25.236726041336887,26.588467796745157,22.01640055558007,21.871331291894784,18.66126185489321,21.46966007673583,19.266766829220842,16.7715915210386,20.1737714031628,22.13735874024624,25.174636641243698,27.475536312208273,27.329960749279415,31.645518660802654,29.777155082777842,27.671188939583953,32.343276476228695,32.706749984858625,34.43827715175791,29.735476552304803,27.656102832308527,30.069102759495976,29.651050818886883,24.182762347296148,25.558924863901478,28.704280460794994,30.149314471437833,32.422722250337756,34.52282667939051],[18.789250968894603,18.79211010679315,21.696424548757058,19.94438030096323,24.991535263275022,26.415148534416776,29.522682218359446,33.60790105901598,33.4080359548025,35.23328077438758,38.01356354656112,40.530859868887006,40.28049689391226,38.42974543624042,43.55549371794042,44.96270011530238,42.80777844221152,46.9493564261891,48.3275525645231,50.744945724410314,53.37479472765913,56.77818403090461,57.01606972730777,55.44513004359305,52.77213749808732,49.43588038864515,47.977785104754744,44.62809932680758,46.436721681331704,46.65632054823952,50.31394762214016,49.71142739353243,53.3194025221827,56.943047475425324,54.368569136301794,52.28246254429491,51.09325215253969,50.843900009743585,49.67731397565118,55.005393614467046,51.72196399334741,53.61136567840659,57.8434636233279,56.716829850186905,57.95954437209084,55.817025775362,59.82919989682149,59.97891821674709,54.90088937463932,58.0217048656586,61.05728666148403,59.249350229822916,63.75396671549036,58.905827409077496,64.7596843132431,66.66331141264723,62.65042280107784,62.795089782497946,67.60907561834603,66.53127779578784,62.87671864119058,64.7421080683755,63.175036231328775,64.51040609104508,61.89868322751248,58.45474147289287,55.508040804651934,53.285886214213555,50.264627557394,48.564251586416795,47.26206484342274,49.42815524485402,51.85953750511018,55.06828655069413,54.8437854840992,61.042854193916796,59.66939661902238,62.71485489626801,61.208533612356796,61.8559062023361,60.046294324497964,58.893827779606745,56.208229114918595,55.873559453628694,52.842821458934246,52.669155961563874,55.03662228861682,56.25840042005121,56.02768062995781,59.60816842356045,57.293664870603074,60.28456074846769,56.9319965207239,54.99795876154129,50.24684399062201,50.50220432528019,46.123231434617686,48.779275619577334,46.025914715324134,46.9218822899453,48.83018857087066,46.95747013254125,48.89855569681408,45.81902032071286,47.95323449431387,42.36189859462581,43.62164737743121,41.44234719262502,37.11925871025293,38.75026686218403,34.4144058657173,36.34004918897723,34.3132774050997,34.738031995751065,36.44253234606811,35.70819539847897,39.56392780124827,38.68797614260502,43.763856742921874,43.252940353127585,40.036568761399074,37.655418840150304,34.005800151565374,32.45489549149324,30.801646202766843,31.080441445646564,30.406863948421908,32.779198863795,34.08294087868098,39.04935192040292,36.20016802943055,40.21129503510816,41.383323911911496,43.855845003659994,39.58229272397313,36.74302944078979,32.37389653075193,33.17187885743943,32.62660091084601,36.48927184725802,37.80008385001767,42.497707453402185,42.68608405303543,40.67956088080252,44.52395931386342,43.815214286988656,40.57121778724001,40.579980003177056,39.77429828267493,37.55461780300188,38.214713800128266,38.26455347862451,41.90322705198767,41.12540927413473,43.25974261531551,44.15808335999842,42.65564561674439,42.52172323594157,43.82766240702801,42.16179018229456,41.36625069367042,45.131706311539816,41.78038906321503,46.441209285076475,44.9799694122178,40.8221785866415,42.45744809248587,42.377068924963126,38.684226868665384,36.80219120186724,37.891740276084356,38.12278444334905,42.78232117293344,44.752733457093115,46.96953251038857,48.31453408636623,48.02344164316367,52.68670400308767,51.60278745987762,51.56195717522892,49.05115272706409,45.25400886264694,47.972726438510485,49.74399090772279,47.696333065418,52.17892189326095,52.76441972275223,55.4793556332436,53.106003317400564,52.531049702955016,50.901119042187034,48.92072489415967,46.1232317549432,43.48674839392991,43.194721424944746,41.917813994528174,37.388253301118674,38.02350443906976,34.297710872158206,34.98608296707195,35.197325430265316,35.45733174320473,32.4963168418531,30.047617280429847,32.17095530546818,29.825478255023572,24.757065442597785,26.94454637794341,30.07751739548881,24.663686382839686,22.701813308142587,25.032231466424303,24.737033713370742,20.0188484363763,20.34471730411429,19.69375309287483,24.348513651465893,22.4030762638201,25.575993736095896,28.290393868797707,32.64930981147313,34.71376137586864,37.772961052976534,39.71011707100233,40.38936365318991,43.60583563814056,42.55450292292143,46.080611715939845,43.15329042134844,38.75515449169992,42.92466012557157,44.5489505671352,40.04133979763781,39.44806037756265,42.759151175430695,40.38171595256288,36.082838331666046,37.99853443665132,35.01094275625943,39.84229257904026,42.005822494528346,40.57840939596754,43.9590383280537,45.723220266466356,44.923981385875415,40.578172970898706,40.79920323511625,42.598359503657896,38.91697835860939,35.834011148780036,37.599209903585574,36.31082184655135,32.34007626355162,35.03539972693617,35.58405069470695,31.514567194999934,30.62830781436118,33.732982689561155,32.49107093871357,36.18880661514504,36.89058707909043,39.26711083438981,35.71163881345365,31.674987633790042,35.807287524300435,34.87554211968924,31.229803841361623,31.71379163032234,36.0103848138542,32.482979671969126,28.31418829732497,32.12467069765057,34.52363098047831,30.45619432259837,27.44966761281744,23.293863667839254,24.103289556329194,19.505602938723875,19.994075998120252,17.058517135949703,20.467723753395422,18.959727553785605,15.625225349079916,18.73890318605196,20.10820112076865,23.360129975006775,26.112979907279144,26.44636514975356,30.838626434038574,29.36520122052572,27.669508335552276,32.679961367031765,33.302829118947315,35.29510853799329,30.417028200761322,28.573596169446386,31.428095909392617,30.872385653259055,25.489268686888252,27.246584371852617,30.69083905138116,32.045803212629295,34.355029430428004,36.50096119268496],[15.918522914577371,15.152899526237912,17.40687719635612,15.513426358493932,20.260289930079868,22.202313864099644,25.22089485995705,29.38064347286179,29.518192002522436,31.282381338165532,34.27022997526795,36.71184687697352,36.18100395541106,34.62215013037725,39.753358231338616,40.94068950264614,38.7030372728999,42.911901851599545,44.38068930299343,46.56951838225576,49.301855854379134,52.570591227343215,52.95173716281529,51.39158220711916,48.5788700716428,45.34433913339327,43.69018608330086,40.36866309204743,42.17329423685036,42.35432871786316,46.33318538109577,45.51959244601142,49.25794369115571,52.84691915806983,50.11300792785127,48.02113019019255,46.66010075549151,46.38718378545718,45.14245587734298,50.35353108379068,47.203469657599065,49.23318564999225,53.40603427030881,52.27425473851256,53.64047539550503,51.52183110559023,55.520884516226275,55.53122169191565,50.38558027594626,53.504253208711845,56.432229812222594,54.61831003802569,59.10523257120602,54.26145194176797,60.07501492403044,62.07431446168152,58.13256616324805,58.26113186478935,63.10245503622756,62.10322367190576,58.54048383987217,60.48093323689001,58.963350207081824,60.446460723609185,57.74952181371528,54.23859228655297,51.5614741271568,49.31053013858558,46.5311703475908,44.902504507465636,43.75399715532264,46.16829006538537,48.374772598899376,51.43746446414909,51.01716113325323,57.1868955793186,55.57097355554891,58.590018927805914,56.92175762653868,57.44662451585729,55.532891316820994,54.25511088419416,51.537428903922255,51.1124998381936,48.103768853747845,48.03230774325883,50.52519899201649,51.77118683978392,51.71374224735128,55.38869462025311,53.24367676017161,56.421191727850704,53.12794669770951,51.17574508294844,46.423601768917564,46.92146866124428,42.538222348079245,44.89932344927669,42.086337649046456,43.005887623198575,44.61005486020322,42.603896776209176,44.388789177533845,41.21743186342824,43.19025517549184,37.59542264875542,38.86672711939333,36.63970282886636,32.34978219105005,34.034547349506276,29.72254028150609,31.618623356828902,29.775985771442475,30.15505662375649,32.13493980454266,31.416680257017997,35.389345007899074,34.61681052106454,39.89488902224044,39.31635618887678,36.23528869964892,33.7706429667431,30.052892668322173,28.312032605716293,26.534642509988036,26.472851322294854,25.75163495687243,27.980650986653252,29.237227308079675,34.19296109295873,31.350787776973917,35.39433779800691,36.55010738954332,38.9861245218301,34.731085995694535,31.9162421392272,27.553067107216823,28.460468100296673,28.11050118128461,31.98941082086319,33.606409754850375,38.28885766142888,38.470524629000494,36.309743186134696,40.06189164589796,39.34507991683977,36.090638594525785,36.090803042357834,35.188648513786895,33.13511581356159,33.76257189390279,34.13267322167039,37.775166867037775,37.44075613458219,39.47598036803734,40.07157972355807,38.453556115066704,38.11163523439929,39.39433083265482,37.49838641201157,36.62820415963537,40.50687108238458,37.15007163598754,41.76651483186348,40.287159793300994,36.26065655900486,37.77555508980448,37.84629220246259,34.09950573553072,32.20254514414064,33.16377824267578,33.40741748404164,38.00459971395257,39.95541862928662,42.2083582374441,43.56593370039181,43.40951537526493,47.999943883491035,46.851062671037695,46.75452619929718,44.227421933388754,40.410046261558676,43.10238190115785,44.89500799449263,42.870655385645236,47.40345442160888,48.06012032732836,50.784732697762685,48.58260756708189,47.895652942347894,46.30621096710675,44.21469077246184,41.41931131457691,38.74507744900869,38.44796382268511,37.240465691841806,32.655882192450996,33.345065754582215,29.685178966403864,30.291586449596352,30.760206134182184,30.998083978339455,27.88945256911504,25.62327547852326,28.005027432694973,25.562247459293733,20.357781150639116,22.9739725357665,26.337599690887835,20.754319430341365,19.025825992743897,21.8299771654651,21.44861499214065,16.675360744489534,17.635400184599767,16.520862058911735,21.829397684673918,19.576265431234006,22.31442818455346,25.397962467117456,29.78775264014144,32.44713953805295,35.01254974992936,36.60179003061953,36.930756302328945,39.95950660817653,38.58917134370727,42.153738983735465,39.47110728340999,34.751206800162336,38.77122022393534,40.62561442019094,36.11641046422429,35.23438618559517,38.48919300115761,36.43201134093371,32.06409848564201,33.57172301459561,30.61572386442849,35.264340886452025,37.5677048248048,36.303324428649034,39.62843730190802,41.61668509508218,40.603351594163584,36.21257432890117,36.79758511824591,38.55902074309724,34.68166507335236,31.79102223868515,33.86821716800564,32.61175293973971,28.600248045273496,31.61339879581892,32.3962087675212,28.35987531812065,27.563423127845688,30.854548097350854,29.371808385201835,32.871668115687186,33.16997480212964,35.690700675683836,32.49591985442473,28.04050260550083,32.01045277625568,31.453599842674166,27.820595863409086,27.813209285287705,32.428140226242625,29.31867710391298,24.72161266800503,28.282750469697877,31.18762903974898,27.432325138409308,24.12608354013246,19.702409781227537,21.269118819628634,16.622953847637554,17.34053855369193,13.476186717863955,16.528497702845414,14.729010254387271,11.268748084180029,14.308116074042168,16.006119266729307,18.989188417160495,21.73650341233165,21.698838565067494,26.086839651616877,24.534687211003096,23.030453692031465,28.164213436424692,29.03283680993195,30.994916135472025,25.992222173371477,24.486496992846266,27.55796563988043,26.724501072381848,21.530528974172636,23.763549945364723,27.348154365511725,28.58142960630238,31.014082514281004,33.236080553497935],[19.513932683114504,18.44911870637043,20.168262325516206,17.43148911538161,21.689846846481935,24.148165444866276,26.658745120316983,31.055472626973668,30.93756117033241,32.11416204318637,35.135975176221244,37.942701753302316,36.914166420483795,35.024516758470035,40.18933437269518,41.44511313187964,38.80756286522835,42.76794523173653,43.73471167557173,46.0985291471892,48.520152946350144,51.78864287042018,51.883666230987686,50.13551065801743,47.569933542784234,44.379900275634114,43.073677769159055,39.9639894381038,42.14123132813548,42.75870783932612,46.64219763284259,46.26449401709034,50.08971332660549,53.40794782193026,50.60987765047982,48.19966179898758,47.15097305508514,46.34277166053012,44.96886547177018,50.22968176470696,46.64871084467284,48.62874482432218,52.8265975256866,51.487393053104945,52.529868963525374,50.25261154583775,54.22917609276114,54.58247890544416,49.54511714609585,52.539201740967655,55.75388948798108,54.07532436266563,58.679359723038615,53.97082878387152,59.990235422110544,61.65372077354561,57.60205358533834,58.04794710328094,62.788036285441976,61.430065135791665,57.9031065243346,60.01378749898719,58.687557715630675,59.815704624007836,57.02677532200917,53.76599995446824,50.88398107963851,48.94480222843188,45.915267442825225,44.60311519890345,43.19352280031535,45.48675040886316,47.979735005143525,50.84653147340001,50.81081221023977,56.98322155577694,55.38322935667561,58.65817107236948,56.98181999270779,57.37319898985823,55.77830023007944,54.427922965536496,52.10771076454015,51.566248455309434,48.27911306387975,48.29388455671055,50.550394919034446,52.202932017702096,51.755904770775274,55.726372637500376,53.408429407258424,56.53423942411424,53.39791958041404,51.71479422122402,46.991926075939816,47.55461564732271,43.190420696490314,45.870982182625234,43.28886020931671,44.703594524990976,45.88468364714894,44.25459847482138,45.584889248938154,42.71009305839028,44.47772369056784,38.974217340009275,40.48645471334276,38.0729969743185,33.9695261589652,35.780378930051306,31.409094391099014,32.75808599447617,30.896391288050964,30.685198317675916,32.43137094406935,31.23431716331471,35.001147840082595,33.72294167445081,38.92832990988971,38.83207356123298,35.65539186121579,33.52507500263245,29.523890117932627,28.223947815073696,27.011810542464495,26.863974956841655,27.053642146523575,28.91887764936063,30.363658121769127,35.219296910272,32.218039086746394,36.412546513570184,37.07900782745508,39.78999460848046,35.10909394901524,32.258381980449506,27.767595867102216,28.273663076236463,27.508094017377456,31.407128206367847,32.31599243159217,37.00892989032356,37.501303303181004,35.649583342747334,39.57524827605912,39.232065627061864,36.04686814359804,36.53052034813588,36.0069804036492,34.2696624815049,35.381616963229106,35.95027968189633,39.90662768277325,39.84104956851494,41.49144676363779,41.878286657197116,39.9006686832189,39.66425067813291,40.47963939970361,38.63887111484932,37.198360779172575,40.79146225649928,36.99233794703219,41.652495322336904,39.92836937085466,35.4627863088866,37.284714540232926,36.981136069420565,33.458438384018145,31.500850559299913,32.86647908376402,33.144370371208225,38.011393858479785,40.25606223027647,42.67009975094815,44.396015258703855,44.17585289978136,48.923322591806595,47.393819478708,47.49719833239504,44.55194550036963,41.20720197806102,43.63461733655338,45.18980598855113,42.96711931840311,47.2524863508593,47.798636666517055,50.322825191616054,47.64044241429474,47.22031474149721,45.567270572312765,43.78790293094347,41.108186297255564,38.675298895621395,38.6482885921858,37.64101734161493,33.21758025505418,34.35882260959113,31.008361636997222,31.927898764912705,32.805857028726784,33.31591323321076,29.984977640099466,27.82517488849293,30.658813192659483,28.314048984520937,22.82649773473826,25.83842330817891,29.593092507772017,23.98413160016852,22.38292853844794,25.45798072077888,25.124728453361406,20.37500340935889,21.49386757380447,20.030337600957115,25.541063660822406,22.479061009853798,25.31642403908466,28.667076317980793,32.75850277467027,35.631816733500045,37.91261575578609,39.62152880696092,39.69158335842505,42.632846376709814,41.14817734098431,44.48118233258563,41.80158032207731,36.9220814311417,40.8086241345288,42.473863002409274,37.83990357294858,36.84075620577194,39.794920601289434,37.59528963692072,33.36650012620667,34.5076541332418,32.14227709145497,36.88055049278046,39.413688996380934,38.59920742966116,42.01009683676227,44.34353862302972,43.160859797019114,38.66436049167146,39.71686349533502,41.51672027316566,37.43598403675266,34.758390541809604,37.149618460482124,35.92761999445979,31.91142164207894,35.104237919804035,36.05530722145691,32.047558039026995,31.284572651888137,34.60039089285163,32.92544049360445,36.24952983036004,36.26540523942364,38.70480627875221,35.71387670518187,31.08435341961229,34.70963127295243,34.19566672314909,30.625583417200353,30.159500926298012,34.657066009622454,31.621661847478087,26.857529544833806,30.00056523874408,32.90190645841144,29.159116193480997,25.717514630066034,21.418259297885545,22.546345382741908,17.902920487428517,19.61143707928777,15.829690843320565,19.14703004470904,17.60136675418222,13.557274600063401,16.028658168916653,17.164022482827136,20.048737867781355,23.427961817185086,23.220607585049073,27.57213337216225,25.889270926302707,25.1397583147017,30.475061323847846,31.763246181962455,33.539659824355034,28.321898346386963,27.408324300869523,30.546415979527357,29.120912110344293,24.301646896569537,26.989525062759284,30.438076797921855,31.645939015802227,34.182011758531885,36.453894455979054],[20.67959272947139,18.864278683717842,19.4547582118415,16.427662492511622,19.610073102129704,23.129276393925036,25.177907845585764,29.696973745430487,29.895507379948928,30.640849940217166,33.89186672302188,36.7699022345491,35.11461529746503,33.419114381576954,38.55008476418989,39.55432843808344,36.56102201971158,40.40085633760379,41.0979085294438,43.26069458548109,45.56448504086564,48.61556007207478,48.67062277200121,46.75966522455602,44.21736048705808,41.24524224586208,39.950945689678065,37.086390575379575,39.540396876150425,40.40712329178806,44.637297196256306,44.255844863535565,48.27561967765554,51.36773906928226,48.330905883186254,45.7155711371175,44.63180022770353,43.41043004154099,41.801263338646095,46.8606333907695,43.15212478477517,45.343533489621315,49.45273278838145,47.89663414509426,48.82780869438923,46.393723182369634,50.30423058530794,50.78920632141285,45.719895229901745,48.510873542239146,51.830008699615036,50.318718893914564,55.01451704092249,50.45426628514038,56.56602549662313,58.125382705062215,54.114655423568905,54.81096693910529,59.504046124651886,57.96342106208693,54.635896836922726,57.004341783945804,55.90241800763083,56.960730584129095,53.980640602933136,50.83600516187015,48.18333564484213,46.458731448077785,43.57742331396444,42.59839648080153,41.200060570994225,43.684252549267406,46.09953909258115,48.63229440644833,48.62832839318609,54.737190224086575,52.83402617997986,56.23892250735101,54.33896649114921,54.45084166713586,52.92716316411547,51.31109002165855,49.222200405426385,48.42323066917414,44.9827586433361,45.273102092569026,47.56012056685014,49.53193177377416,49.080741788570975,53.36858795335771,51.17725354343894,54.493675649651685,51.549041737488615,50.018446571802066,45.34485089256024,46.23195848197917,41.91070052946764,44.39607873675479,41.89006726165926,43.55727340850622,44.13476372926795,42.509455966522296,43.373588576270386,40.50777007972236,41.84325298311874,36.418023732414404,37.95334602176016,35.290458311291,31.414449239519772,33.47776511170342,29.241518695852005,30.268979232016292,28.77372342257423,28.09456046787818,30.100564111596174,28.565356288603944,32.30612640696677,30.74766811723097,36.156673758733,36.37665678164938,33.339175031674394,31.38062475075059,27.105336992421567,25.90753155611437,24.964077360671833,24.172191817806706,24.90081148456085,26.184532335741974,27.545653929427097,32.239326157413714,28.978913976874757,33.20198667853211,33.53494427273318,36.50565932437133,31.59766142482188,28.9168095244808,24.22151775544357,24.749138915218154,24.023284676341426,27.96682861715153,28.684064678132525,33.35982737600738,34.185152579119446,32.373549118213894,36.275556828775876,36.25637981176691,33.13203689632973,33.96891208242801,33.546464290673846,32.29185130852128,33.58198246432499,34.69537846031279,38.717346274069904,39.3001338454023,40.67594833142457,40.596192971003276,38.32435985712391,37.841683706676044,38.37583991762506,36.20088294124376,34.26291972217966,37.84721847917165,33.68125504262934,38.26467122222459,36.220688148631396,31.53193321629943,33.308362957558934,32.778437909598715,29.310596237219958,27.458621846359293,28.999691994515306,29.486774848484703,34.469886709999244,36.94331261987161,39.57009991511452,41.56234327970219,41.56018140272366,46.239966073715685,44.3508314540201,44.458723352203315,41.16292602690305,38.126491786016366,40.19219826438523,41.5359078509354,39.27852978570323,43.50330629323096,44.17137507696246,46.44895758694913,43.61190086403259,43.152057030599345,41.39467072445294,39.79253829252752,37.07925757027397,34.75259576954887,34.83998732703999,33.93515519626921,29.65873498563362,31.11131740008922,28.0567096936407,29.27282288901005,30.520956133802148,31.347522725153834,27.86593854728161,25.79617219015456,29.110755303579047,26.987965853533645,21.25534066626276,24.687457379571438,28.925957206951217,23.474829944395427,22.063568885012128,25.54737596573518,25.41414228287423,20.83992421203781,22.24250136956382,20.174850638531066,26.030190673322316,22.092719753706078,24.64397544048129,28.367612427764602,32.0932494076552,35.49809254797927,37.153363679959924,38.74278371305563,38.37354521629345,41.10374003417017,39.39041014818437,42.4814549438661,39.94677027313342,34.8272241123061,38.488594489827285,40.07933604012624,35.39091134701721,34.169100315308164,36.8268621059368,34.69929170526462,30.59410793968114,31.25173788228979,29.39689082089365,34.12112010280669,36.853145335691046,36.51776345072144,39.98953362656848,42.725329712242264,41.38259155802972,36.778410646048435,38.405395711704145,40.30498622052515,36.039245501603695,33.60562346642426,36.475361593202294,35.423756172716644,31.3878297264244,34.76166383510578,36.08325194858001,32.2942376815466,31.451802777140568,34.77907233764882,32.75093694110716,35.7143523658947,35.24955087958014,37.60250199351996,35.03868763040717,30.118820010702013,33.24126673057447,32.96132005955373,29.530003112969936,28.388529924257885,32.86485245425069,30.2076996894339,25.150991897027414,27.716310156249946,30.87471694521446,27.43426004745173,23.772219232962904,19.550536330817227,20.833988169963334,16.394715022835985,18.959975681865973,14.884833923467605,18.014839638360453,16.795116074776175,12.367194258632356,13.989892462148305,14.69587400194442,17.206101050330986,21.023444451485126,20.639781120840727,24.861125342758832,23.29339061466754,23.303179500345177,28.803839798990747,30.54322920363675,32.2925270957715,26.96069170470599,26.68893050980911,30.102684687649834,28.226710018932273,23.925305297088528,27.163240696253215,30.664187221816185,31.747257223793444,34.36206287759801,36.66061356594775],[21.159118529471684,19.358967804314595,19.986491894223484,15.792938421223294,19.092766485205924,21.929546511531406,23.46915773336006,28.064557063260455,27.60597886265417,27.890571233285602,30.95621346265995,34.17206031377483,32.41892762750251,30.22957671817414,35.35098805307453,36.607915767978646,33.53374245876017,37.199952862092836,37.715410206773505,40.21464022475795,42.38130941646145,45.676445252320654,45.5733969890012,43.759304231457094,41.36086744318761,38.15692955997402,37.143115544510835,34.200202352765224,36.69211645026903,37.771271779632656,41.52827772935941,41.640349719714095,45.5482691773505,48.505014381674464,45.647900210552216,42.9104311724013,42.24409921688454,40.90975684431758,39.501023266437336,44.90421115476387,40.93918339126724,42.728691612650074,46.96922791211578,45.57712097090991,46.422701698773196,44.17962431594042,48.19061003420543,48.67993254224497,43.818226850942956,46.947831638741356,50.306218932254076,48.57164924256922,53.18455926761424,48.52540967723819,54.680154562070854,56.01712258430502,51.83738263660855,52.46893055054367,57.09979261868977,55.49494093695569,51.91837596244979,54.093911021669406,52.90798965869567,53.743425376549446,50.913720317878685,47.85125404419845,44.80404574918725,43.13006392615244,39.9457500736213,38.96034436937081,37.372536759610604,39.65709334481554,42.29172082244578,44.90500677542121,45.16426250385392,51.30032392440282,49.689093186843124,53.18943439981665,51.52208695898753,51.82408290899522,50.58194866219355,49.27941559372404,47.4031940992558,46.87861121618456,43.334442021049554,43.2651891386769,45.18310329195963,47.2098107126765,46.314564061959395,50.54992674016964,48.07455107773726,51.16647791836619,48.23515401170383,46.86388567397705,42.21955833500397,42.95244554393936,38.66371191072919,41.598165849956665,39.34620588581688,41.46208628555597,41.96931911526556,40.95033531282205,41.6310914051002,39.331283298105355,41.00421883528824,35.754699784817625,37.83270117593838,35.45904182627401,31.668933504638183,33.2958408780471,28.80276784032098,29.169975134791155,27.13722903693472,26.169627670931497,27.4816952243744,25.79129698257564,29.28613258460846,27.60626421668862,32.705320369073604,32.991893739323615,29.78451606966076,27.990556345413903,23.75419411365424,22.925867566926556,22.42936724188009,22.328095975993037,23.811815246694103,25.318403861283773,27.261844219607905,31.892233814721273,29.24280453785933,33.706223638389005,33.69553590394275,36.33395233405037,31.20909074861603,28.040200250502025,23.912367513935298,23.47318848440498,22.061593165663222,25.84119486173789,26.170722876989416,30.827759699141357,31.379701948090087,29.816121144997496,33.88570869902006,33.817879374955695,30.742805429079908,31.722416651709878,31.729627990679624,30.387335330545845,32.23705809210785,33.04838724768202,37.45337872761952,37.89621237487298,38.83787682009884,38.83143423918615,36.329733723624734,36.29916955075922,36.407871827478104,34.83291767899982,32.775853813426515,35.85382149484391,31.75458782221956,36.461073533596995,34.78018862604377,30.1159887272185,32.49573256755919,32.200525913630244,29.08875742381125,26.663588033106365,28.330353339549614,28.234695224731883,33.26357442778647,35.67223439804646,38.089098175883585,40.19180959682051,39.727205579618584,44.69929056904113,42.819616463261276,43.27562579280687,40.029232491490376,37.282103206668324,39.68693510668266,41.13176205739295,38.55937554854619,42.39467561604502,42.572119169244345,45.14077184322095,42.1168379579037,42.15822735410238,40.74448918921859,39.0420515164957,36.833299789222124,34.758192741926244,35.223612608270166,34.833307319830816,30.495302836792405,32.31521946066043,29.57587021671894,30.311125066517455,32.21047263011496,32.582170637323294,28.81523164960807,27.54189304203368,30.955883506407357,28.289087725981744,22.946701731107236,26.884851538217294,30.709575900693967,24.915699021591898,24.118540069502714,27.707591223667627,26.84932673007022,22.430760187845188,24.642869714863647,22.883473116878744,28.84351693568713,25.634614184409187,27.72385405559093,31.452715248667126,35.420616323578656,38.99782050315964,40.53067956504599,41.724996762722476,41.19147464321156,43.694475483864636,41.583885790652246,44.87022205337089,42.726502771176094,37.278009021246575,40.69065348663126,42.707949920118644,38.095427404110175,36.45204490744236,38.95794717460744,37.38515753537446,33.28665391962004,33.133643315990625,31.438489084718714,35.53798456804114,38.533420720882205,38.30762899831594,41.43999148325715,44.269074090513534,42.439441454134595,38.02812830167163,39.952670470653175,41.39572053059011,36.88594413441936,34.93910218424221,37.72735015502117,36.36957294614982,32.5985166913198,36.43894411490689,37.504911453939876,33.470949313850745,33.279319908441856,36.855878708175354,35.037843874926544,37.98584901041065,37.28679610084896,40.00953670340805,37.7360326048629,32.539975356721065,35.71192788431046,35.91429989062191,32.51258771511777,31.063309424819955,35.91091000152976,33.68131107502313,28.38030282959097,30.693938743909094,34.32408493094727,31.192136553783502,27.389346311997087,23.02842344480733,24.880605168659862,20.50756173629513,22.941164709519104,18.36007738370939,20.802975101045558,18.70334078643598,14.94336706474672,16.52125111244336,17.79482689000137,19.680314489965436,23.33278667778625,21.808959124963174,25.829409645556925,23.382533859762933,23.775516809921008,29.067565302162098,31.050074147081364,32.1890515335274,26.75798928267228,27.03655787559743,30.033692636019893,27.457472221679534,23.600496212667682,27.140776532115844,30.162206533004667,31.239661581519265,33.9885162929145,36.331642161924144],[25.818246293957138,23.900175683368516,24.141207572868165,20.251760570373797,22.748886889462817,26.390949098533405,27.650356630956146,32.26943869343629,31.98501444183487,31.863834147823052,34.99827745695287,38.33550265440052,36.068879060674554,33.87398595799952,38.89370316952583,40.02389043147818,36.54480295748187,39.89712079832717,39.81724844420113,42.265984024109386,44.04760744420896,47.11206455542486,46.71042121828145,44.57221800903244,42.468849766608486,39.5597133690362,38.87251046102907,36.36560696545873,39.29750270809054,40.79781380451154,44.6925042842143,45.023330439650145,49.05596645623803,51.708650590164595,48.67891982806461,45.64706861493379,45.11435611612722,43.15371890564526,41.448739022755554,46.579736399058376,42.25437565917018,44.228040787548956,48.346250538659525,46.55888704800937,46.98829805451969,44.408493796049704,48.265379630183865,49.23963251982797,44.45593617377361,47.125096189139896,50.82374782251908,49.45864454660849,54.237698834746276,49.89460960514172,56.22512070860707,57.24228884873599,53.074596066469745,54.187623461381875,58.673700825522324,56.62938552015517,53.321203361658455,55.852905691438686,55.009487437096915,55.503888121246455,52.46281106080279,49.73224628350577,46.731561251221514,45.490970226564876,42.23851992137614,41.73282686346311,39.95322353163104,42.17769608108245,44.998940306207835,47.22466773691954,47.8199546386298,53.85183159612283,52.06500124897588,55.80223308647513,53.973732623056,53.94975114519789,52.957172151633024,51.3518294581004,49.88801855898781,49.023174702460544,45.2339448720991,45.53563209415576,47.35969047180745,49.86852395179821,48.77836223860382,53.39240711451631,50.92742053770839,54.07365967635697,51.38616124511701,50.27875335112756,45.732213228560944,46.653100648384815,42.45203125165668,45.40994274341347,43.313443064909116,45.67822349459678,45.705201138898545,44.74277028952562,44.97650951540968,42.700565641288584,43.85584382757306,38.71622710032648,40.67147997792167,37.938421048432716,34.42313417949725,36.43635349591006,32.1958348981206,32.33859731349627,30.72557259625265,29.241976677758664,30.669080305721014,28.489623578169567,31.72532033750816,29.435942926238496,34.50483169550036,35.44791047640879,32.329028879690554,30.962109024314465,26.464183608381123,26.054802656617863,26.049307492962246,25.3623391522989,27.403609031793916,28.243720017053974,29.94533010113692,34.31589291971568,31.159203636657065,35.49837798636442,35.083047947466866,38.224484389451135,32.838566027721804,30.066681700564008,25.594268396530108,25.24175736090177,23.750698768998145,27.48394514510561,26.969995610209878,31.50578093833329,32.72262887753243,31.495247503910722,35.582897731649425,36.087777673616195,33.170100334632394,34.68383558559391,34.8904374892502,34.05562209898976,36.048356599815584,37.27451489420675,41.670601064087165,42.49491597726487,43.293997702355455,42.993510008751265,40.276414806715465,40.060516120292,39.8846015913161,38.00377815136993,35.35133736370444,38.30735199606143,33.661760896709524,38.21334316444153,35.977564335874256,30.783616885400175,33.1419572785194,32.147653924678,29.240283454495636,27.19091240655928,29.307537075491517,29.652528257986027,34.8617675443999,37.65248914473443,40.37105004772366,42.837672384814674,42.62084784282389,47.49734100383872,45.143906346826135,45.6155856756184,41.844115622936,39.59194293294936,41.36182392554633,42.38911625436733,39.81518080226423,43.4904824047982,43.84696239081536,45.89106451724782,42.35296570590886,42.43978632157067,40.72932422875997,39.57823406009005,37.247411672181656,35.40164599123632,35.97922069661916,35.53693395457841,31.597171987129453,33.6912315199647,31.22639443386091,32.61458318190302,34.47967840159727,35.43183863301645,31.735302429546376,30.09236119548424,33.77985873297357,31.642343322359824,25.98051800343751,29.7782994194265,34.1296271208013,28.66838789537489,27.56329783148358,31.198708304258822,30.878846740666454,26.422149191985213,28.122954034257003,25.98115597979031,31.90124471236462,27.648260655933267,30.096082248672403,33.95937231215059,37.43159603821262,41.0511793577365,42.382879132626506,43.93361584959226,43.26042667417398,45.798951885123685,43.8597778163562,46.71411404667788,44.34808590951828,39.05004467670837,42.40552116575854,43.88517620957553,39.18445891411217,37.72044639466284,39.90857247712532,37.848800196023696,34.029310428642766,33.95846480053097,32.91959139235612,37.40414825598702,40.41987911203255,40.62890116178109,44.02250219277592,47.118780303275194,45.46130683338938,40.88396428812292,43.06472005170325,44.83452303208819,40.351338624070166,38.32503103454692,41.42391093737944,40.32157841604932,36.42224448353261,40.051442784272304,41.42562618098499,37.61417138616152,37.00749098509934,40.401933621179346,38.297017828673035,41.072339163674286,40.28057547304459,42.63151826251643,40.38401589570664,35.30312520108369,38.04995414595775,37.96354591146412,34.668461636750564,33.023980316604096,37.37908724173685,34.991028934333805,29.849244615371088,31.809119179342495,35.0109005129949,31.794683467641935,28.094770399361757,24.178293535727775,25.109468476581547,21.006959118313077,24.241033848234867,20.35805102219142,23.3309680112297,22.111647898961362,17.78309133463698,18.795739347649626,19.05283806752753,21.01752163201883,25.190633167008396,24.3037040027905,28.18933340684259,26.287707852583914,27.229202315732284,32.65700150805382,34.8337473383674,36.16511781050658,30.744993426321106,31.20138023208636,34.44717650768345,31.849811833635485,28.168344511521262,31.7865651302209,34.94272665661958,35.92038683377348,38.5988691395461,40.934893751416205],[26.618332852575595,24.68113877720391,24.839627108530443,20.169140568246632,22.52312940185293,25.588619445486984,26.294760105710203,30.87660782928945,30.041412373840057,29.408612262152914,32.33356393039449,35.9511031618704,33.52554056088579,30.907940007444676,35.830026812678156,37.15635366333759,33.578973740719725,36.68809896884715,36.36531552857455,39.11325427721378,40.72002686185956,43.98651851501923,43.41806804616955,41.3665348765629,39.42852322628751,36.3285505696625,35.94772828706142,33.42921314844328,36.417244367051794,38.15597994402427,41.592681288446826,42.40796184268308,46.32282041664249,48.791077398619635,45.926423055375864,42.76852822997699,42.64829333871545,40.53526406633741,39.01330164461108,44.41971035964401,39.85651367917801,41.43523792727203,45.650931431046274,44.01412215960572,44.34546503429467,41.95976965956607,45.8943688616348,46.87397313971025,42.32287063386305,45.30275026673469,49.02117689302852,47.45276238131282,52.1325869762652,47.7255405999972,54.07393107193894,54.861433899072864,50.54884305101685,51.61694850841911,56.01784819980415,53.90182992243688,50.37948318747587,52.73755471453717,51.842610314601394,52.10317981857413,49.200591182966946,46.58103654216131,43.22640327482421,42.08141348463463,38.55925329078239,38.11410432645572,36.14717479962226,38.1758551294364,41.199324489484376,43.4367050153317,44.30676028284276,50.321594655906516,48.79343128694236,52.624725478954005,51.005693771086165,51.13465113139573,50.43182068711644,49.11237891046988,47.88998053874492,47.268597011410506,43.39386003030687,43.37272150853978,44.82296831605912,47.407968462539834,45.887360930853866,50.46360452332183,47.75088246593888,50.68238474181011,48.05343920368535,47.13498443843981,42.66386923038312,43.47469220712648,39.35693339711282,42.692766665328655,40.87615507160719,43.67267439603725,43.55216416866221,43.1697150237824,43.1724814177247,41.45118194841231,42.86340040754735,37.95077719454886,40.38068906706924,37.9231257385882,34.54486723783714,36.16034714727305,31.7730309401944,31.28179238447652,29.255369800227232,27.460127503354975,28.211283431338195,25.848892570968072,28.74863520111734,26.290979527232082,30.994776709405915,32.07470375678831,28.841116850233153,27.723648111497486,23.29882638001298,23.343255278385104,23.864031144779126,23.75384937498861,26.516405702741956,27.461173544370418,29.64173746640686,33.86406740702367,31.299010248950033,35.79704825443313,35.057637871284896,37.861572349145874,32.33174429417469,29.163474021213812,25.30610680380112,24.045327378176715,21.907658721883152,25.380162527687624,24.401510799865846,28.85080990536186,29.824900523990582,28.892648482745464,33.097613419434225,33.60137895314214,30.7874351077671,32.47997580829324,33.116461928513594,32.28410213206813,34.78373724126248,35.78381832438419,40.469973227183026,41.23776560566453,41.59865855950361,41.30788019969234,38.37415622386205,38.54990287924876,37.94026977470691,36.60831918274342,33.82094811923308,36.24265509638405,31.673942371207197,36.27798064637906,34.39291235042658,29.27211444050641,32.19419381426099,31.440970174444505,28.930430126308973,26.359597798450253,28.56924834099512,28.357730154327673,33.53923712834616,36.25398528548887,38.76072406390276,41.33556549950276,40.7048396755162,45.805797252718094,43.44374859689761,44.24440667680385,40.52379414439653,38.59872389580218,40.64245118898079,41.74521024216497,38.89263995418256,42.152262500284856,42.03512895513436,44.33373100728249,40.62876624780814,41.20979948768647,39.852646337264716,38.61464015771491,36.799616523583474,35.218459799420394,36.150338493072375,36.19987156450534,32.24919818991144,34.65286313075296,32.501954173853186,33.45056736703444,35.881331281861954,36.43718833402864,32.529217914343,31.591710612433157,35.347338850414154,32.78138284426779,27.501833380574233,31.692048026038773,35.69010882590893,30.012479869923126,29.422229179671277,33.14366396644915,32.255421872638735,27.985994406660687,30.330516248565406,28.401177625092433,34.41633192806998,30.746650607843282,32.77666082305199,36.65542730115303,40.3293427610323,44.14079664448964,45.327612300825315,46.49871001771695,45.65936990977814,47.97646599296757,45.67068072777473,48.6893948943601,46.69865452427813,41.11140734780188,44.22068837550182,46.09598811257116,41.48774695978994,39.63751496072373,41.67809367066014,40.164350497828906,36.36155912919529,35.54832675551608,34.647725802962974,38.52600870799709,41.76269495785353,42.08082910283982,45.15013829412944,48.333611958429124,46.23997746292879,41.8592694152592,44.321782890223275,45.68548398815456,41.00887748210281,39.43834166260353,42.47894446772716,41.13595992487353,37.4935488918359,41.50636455888585,42.68458663263755,38.712937079402096,38.647995679377296,42.23899666941894,40.29567133010484,43.023529600989704,42.00093028690127,44.66553672034011,42.705103855148096,37.383815115126524,40.14345350971642,40.49987022198776,37.24204864862165,35.316482920957306,39.998722221940525,38.018054244308004,32.655661732920194,34.39388750944805,38.03489717311344,35.12017854846911,31.28913779193768,27.230544310075334,28.737205621833215,24.669398046721653,27.736102545777833,23.373218131304046,25.77495280725218,23.89515122891006,20.10860004773064,21.077190235794696,21.8205288518028,23.26196372771209,27.22302501429649,25.391672486820017,29.02733267962393,26.414612881006185,27.71759823727967,32.881333260934184,35.271080751914305,36.05794917754653,30.634956399469093,31.603481771105393,34.47398215954701,31.282792283705128,28.116666874608168,31.964032564876586,34.669886999577436,35.60315953862229,38.36113532043826,40.708593536114584],[23.5624305569876,21.342041673676135,21.102202285959887,16.320611384536114,18.41135894341359,21.62946331700107,22.302531113337576,26.90270510912666,26.31554781861722,25.82869590293053,28.922483077118418,32.38218610866267,29.962963204896173,27.648370828043472,32.647442954594894,33.814521179176815,30.342621998012373,33.71221411267718,33.792131338067314,36.32306877802984,38.25085811053576,41.490886519019945,41.224506012488874,39.313561199480205,37.05396516642403,33.911467620707384,33.138370135445015,30.421426093061754,33.22678424609617,34.71723214362778,38.452461493952875,38.911322360549775,42.89877220821959,45.51916818521493,42.5698174867946,39.55529618820646,39.15900559627206,37.325731766310746,35.82548556585028,41.242313462330934,36.97025249391147,38.675207577949166,42.908706797843294,41.41067781299785,42.07101428052095,39.804293801649735,43.81229285801024,44.4470291967235,39.71867219037237,42.87419805638794,46.360365638454475,44.64343441216079,49.27871946860929,44.71511033478706,50.975092139159706,52.04567098465227,47.79685556492078,48.6370806781868,53.16466574633208,51.33007330924912,47.78479676728328,50.08163277177241,49.06702132925536,49.668125738202406,46.75637822239135,43.88214679441033,40.789409394093354,39.3857958102699,36.14335714561019,35.511874002150755,33.80130584176768,36.121545626133845,38.82603827512162,41.14114737325334,41.62645677300856,47.69145278391604,45.988587940041164,49.675556368717565,47.955200772222724,48.110012584043304,47.143067009109764,45.79977314377208,44.31529703096705,43.72800541450807,39.97954133649917,39.93454066876629,41.605137825695756,43.984245103215486,42.772739193818765,47.270133567930515,44.73237972814904,47.84084100453545,45.12466520313919,44.024338559083176,39.48683637968925,40.42574144398439,36.24681316441234,39.26917763984505,37.292130221109595,39.919951157010395,39.80133898105305,39.20608283837371,39.30804063801414,37.42901834493076,38.891963528922815,33.91363227781288,36.337733679907366,33.96100973621433,30.525582679027185,32.064356609531266,27.645708913938247,27.23060723536741,25.239465299275032,23.58517106052106,24.60903979708085,22.43753003347841,25.646066274081427,23.546426623964262,28.59454658919589,29.295039576819626,26.135135098676994,24.697502037075132,20.23806000315535,19.875291265839348,20.079958634360466,19.812051130031985,22.39635545965977,23.40966787855515,25.623777185005892,29.927392385285767,27.510345619810224,32.05878639131511,31.485367919621538,34.10600248373986,28.687956596353978,25.401707938428846,21.604806278554893,20.422198034702667,18.493142656611585,22.11824606037726,21.85972401852182,26.47177935844968,27.180175609250885,25.880973171512384,30.03125135289535,30.286478483554806,27.349698545088348,28.812660253395112,29.24609202753982,28.36139322058754,30.734433265063387,31.843945184824673,36.46996894287592,37.401003952229786,37.80650546865397,37.41684814368634,34.522932666507025,34.56198510005582,34.10174904976084,32.63916694370574,30.022118413953194,32.67546938050939,28.27374686597024,32.94626968927854,31.21016343619489,26.358206935539133,29.1381085088371,28.776070926215063,26.04834884335074,23.331821553598388,25.26845867232656,24.948133538813064,30.069314909220413,32.6432203966212,35.100610806782306,37.52914254623317,36.962298899919915,42.022283463941946,39.8086889122799,40.50910494161007,36.97407880885427,34.776368859554864,37.02515823899868,38.31205236894021,35.5087008588187,38.966567304415854,38.91361457005984,41.42390590313462,38.10901082013405,38.48048869312367,37.216915995329494,35.642985970560815,33.788853401016006,32.034224518980864,32.876557433206024,32.94704581002713,28.807395807556727,31.124507474483497,28.936912082767048,29.616658723466017,32.18634952046866,32.550140380662434,28.590541357312098,27.91181363336488,31.66829655116316,28.959589809931412,23.857598603578097,28.22815609093644,32.08943508094094,26.426495135698364,26.10572981066488,29.913598558883898,28.874407985069585,24.81004601268794,27.490304367935536,25.531993006455163,31.594922387823576,28.208770685133963,29.829728889608756,33.730205617280006,37.47347532964864,41.47103824676334,42.46567958063926,43.34635682779892,42.39761639245932,44.57848377360738,42.095189233813635,45.24269686442782,43.464122310300745,37.73259140025001,40.75412891823315,42.917471606822495,38.382375145821534,36.3429254813789,38.45093673403891,37.29710646715931,33.403775553433825,32.34588992899868,31.24646545947161,34.85218519425705,38.12382728142009,38.37747520373811,41.3105265783435,44.48929677306307,42.27087135957967,37.95482630909503,40.494482725050595,41.73789776365875,37.014896838037686,35.58869691694701,38.66123352640599,37.29845730682215,33.7383686932535,37.88430878518817,39.08219718905786,35.16481751680199,35.24615245143439,38.88870787507983,36.94688318706954,39.564231373739084,38.382733126283874,41.18654966738091,39.42990413510763,33.97697537023733,36.71385344177806,37.34772682634062,34.13812350429915,32.047384090945464,36.959909168055084,35.28833365706662,29.78331081134739,31.442377245617696,35.42950907780901,32.764228411843646,28.838792710180837,24.64175220900563,26.793784092332086,22.789585388688533,25.616676217616693,20.857441733700185,22.72325144418813,20.555718946538565,17.15518822419197,17.95926692126013,19.094718116217393,20.187018771153156,23.894122415902984,21.61176585241655,25.19193479904091,22.37254263277738,23.705679187094184,28.80864903836869,31.268448990187334,31.989192838281195,26.564136816732947,27.710013684229974,30.59626423982012,27.300960253354067,24.3134046238416,28.32332102012507,31.02317526325483,31.945576874976858,34.75131296177399,37.09041662495227],[25.354054174299304,22.83515620378981,22.000151002513796,18.111083486992495,19.296400388638137,23.822360085936385,24.61398402895934,29.178736174241106,29.357598660326282,28.95090947099976,32.309478618173884,35.522872584368045,32.73716761579573,30.97566716857597,35.88941426237681,36.658177643482695,32.96605777199409,36.293829202776365,36.1859974305118,38.26842077013968,40.10827901847074,42.913697185434316,42.66030018483058,40.45852614519601,38.19492020685368,35.50882597142076,34.60811709442998,32.275690350757124,35.337822971137754,36.910848173560744,41.26736254906329,41.364424524536496,45.57000492400303,48.08013008700505,44.80550458908912,41.701540250252116,40.96953759254544,38.79571301957936,36.88309685718585,41.77187075085785,37.524907644860725,39.775530774090434,43.787431149988,41.87757701722429,42.39576060524425,39.74128348970097,43.56756898010701,44.453931474025325,39.54963197763725,42.11914690797623,45.76653770488496,44.47577432170748,49.297063532784314,45.02143598567473,51.3569268760585,52.44435410606335,48.3727562307722,49.58208792122282,54.07892123171619,52.04491053035345,48.93003401873746,51.65962627601994,50.96190050647099,51.600304289256094,48.38713136117335,45.62964591472991,43.043141993435135,41.866244450843006,38.9718871652925,38.68570779782372,37.10164651836864,39.65707882158065,42.16702717737873,44.09383115336003,44.47300808455754,50.41601789543509,48.24665532431581,51.986066853044,49.89592826163184,49.62098096630953,48.5385714995389,46.67363844071749,45.28409758232064,44.19924959330013,40.3672614864119,40.92467054506684,42.89583056283391,45.564697834226436,44.67400590415191,49.49908792731512,47.28797848907509,50.69496742177086,48.15733192832182,47.087475186973805,42.6046170017027,43.890884660200676,39.757179024084465,42.28672818476903,40.18859165692842,42.62430528016101,42.11317433857549,41.02904574647568,40.8920569146492,38.55707277082036,39.31774121134389,34.29248945897333,36.235272092391,33.36044796903649,30.10335632454248,32.26415918665863,28.24095712946261,28.114166373118064,26.941493902297687,25.11403148513006,26.934102108402637,24.57194543112832,27.86489223432309,25.52294834751065,30.916007538852107,31.951491069679157,29.090275093576835,27.75298349860669,23.094374948877846,22.585392329407732,22.67874680691008,21.23414637824104,23.64392209863422,23.890631420511987,25.472466238304058,29.61683041956212,26.358375944664918,30.68145634332067,30.01477933318139,33.26107914148578,27.777510721874055,25.16463849049902,20.619024338852107,20.313297077476577,19.01127845654349,22.786069260363554,22.439995355933352,27.001568385940004,28.423016787617186,27.05000956836907,31.01920507834211,31.71787076429895,28.84693531882148,30.56400840527665,30.744119247286523,30.37405848668526,32.39630548717543,34.15952846066534,38.47395324028385,39.941088824667666,40.53513809937989,39.771193844262534,36.87113812338114,36.34138847701548,36.00328681902791,33.75086791286774,30.751670515180574,33.78555330197266,28.92164047813093,33.37043971025789,30.908362972209662,25.66714951102043,27.892650616868345,26.891660573696345,23.955186714796948,21.93228628668986,24.085789582858183,24.589684774625077,29.821322999738445,32.73551099654816,35.60637499608912,38.21902438227447,38.257928804085296,42.98182380224133,40.39598254545911,40.808478560941275,36.838255415334565,34.76475033539584,36.27716353139507,37.195660042576044,34.628988701646435,38.32487055149098,38.83424864581362,40.75120114191706,37.30415109171435,37.23404944261391,35.49168744166775,34.32081570837037,31.964585959193965,30.153171339495845,30.812553527457393,30.524490006976574,26.677571640268646,29.02453020117141,26.905761222106396,28.368217718406225,30.642317964520696,31.728388210571723,27.955063653403233,26.618651442013352,30.624751510965652,28.639623983120284,23.091201873532313,27.211349408344994,31.737284286960595,26.566802348726068,25.808533619349852,29.68932896559527,29.432102929386513,25.356948714253893,27.403566628906848,24.901609843986268,30.93238864093215,26.381741941092166,28.251204239680025,32.31460134538761,35.497924081295984,39.61028705070648,40.29968082645378,41.51880777845504,40.42004318996065,42.65208826638009,40.41413498825928,43.11642926845484,41.06200073593785,35.52240505184125,38.5594072251751,40.16482740818002,35.53366977809028,33.74279052947414,35.65669866846792,33.96877253805841,30.275717587242852,29.522950762086218,28.887283780185488,33.067050325215774,36.25348237903652,36.85342420826689,40.15510749539833,43.557746128144316,41.69697424724203,37.13817469656936,39.83029258396796,41.57648468549037,36.97864999897817,35.2883973571836,38.74358369615316,37.78598460200426,33.99591115597273,37.78312042557358,39.43626472763346,35.88981689233401,35.3227155613773,38.70514375707215,36.368833982386526,38.74770851751344,37.476944150850635,39.81944283515114,38.0901037145974,32.77959826724955,35.04513107407747,35.3541609156273,32.27011947332817,29.985170498029547,34.396735927947184,32.603690913722666,27.24174096161721,28.5765216046727,32.19034574414363,29.502819726496988,25.651946126757334,21.859758192747496,23.362676686068045,19.693372415421603,23.22223401933932,19.046896855793296,21.325146809458708,20.23638415934821,16.202486457364028,16.312425761529887,16.419639817476288,17.59024199593984,21.798188984635942,20.46352037412434,24.015105927999013,22.164757448857806,23.823193084904247,29.174461325048068,31.726278574313067,32.969195453029364,27.605500838197248,28.68254983756849,32.07814527367716,29.144896531729774,26.104934394370726,30.11278633636213,33.241667174041424,34.085436212318584,36.78496113287517,39.09094458444594],[29.365029697999997,26.971312797086497,26.256228508749263,22.06020325617822,23.14801247586905,27.44111749276595,27.854772591899504,32.39172916819424,32.18723571601844,31.273547814888477,34.45434378497838,37.946247160087054,34.867543001028444,32.72233918792939,37.49051297984203,38.38855547162902,34.42301826193203,37.33196897120359,36.61165942426091,38.93257630408571,40.32173218987178,43.12909573980028,42.48484582503088,40.10193592671808,38.24856387885964,35.63597116395483,35.2698742413577,33.25121433645357,36.62774095706104,38.64548017174402,42.64617551284938,43.28787632479416,47.43785701299953,49.62820824817008,46.41617219121051,43.042815715938254,42.74809270918774,40.06452728970821,38.1162161013974,43.01251645888517,38.31722702377051,40.35388409554107,44.33951226271054,42.25631664884538,42.33780441787652,39.57065930407724,43.31525762238392,44.626762355433385,40.00735534517141,42.42926142448236,46.370372188097726,45.22313167848053,50.0760701536842,46.01121999475797,52.46859834657994,53.1194484662983,48.946253117925636,50.47777702751497,54.7813189807056,52.352305648869866,49.26645311360729,52.09855081288294,51.59972281269215,51.77393480297637,48.543299954092205,46.14368417583507,43.264245474918,42.47985396505016,39.28272224422031,39.35028425827169,37.46204855714517,39.74376648288914,42.58646984110098,44.287427212383015,45.15759325332611,51.00424947342007,48.97993462700198,52.94739032652612,50.951683505500114,50.59534903147585,49.932805141120404,48.10914874534918,47.19108611644397,46.07974864067399,42.03363386236233,42.581217621790714,44.17017332260988,47.203513729396064,45.82358690916757,50.832603919695956,48.40718279078124,51.62986564366814,49.28609511589411,48.53070626489093,44.17290146427687,45.41998946443332,41.40500368200959,44.30073581604482,42.50633469070293,45.367463741935474,44.57630155578212,43.958656466892215,43.45322165895844,41.54293998794181,42.21370173742365,37.43101333566004,39.60051052838912,36.726728905177865,33.71995100785091,35.81029714176812,31.83543983083731,31.20569397737041,29.925753746472818,27.65539624800697,28.96571257081013,26.20966539249763,29.01676653386265,26.13030130569773,31.10301229547688,32.70911512002592,29.806869794314814,28.960727855507418,24.272320597898002,24.400368979047503,25.145310580834057,23.933405057931353,27.052236280618445,27.099263559721837,28.853804729207113,32.71513979889033,29.580626767912122,33.864392648005925,32.73721677559376,36.056892129718186,30.36861573539217,27.77281307353012,23.527987663564343,22.621430031817205,20.76855162273279,24.219949849797796,22.794343263205004,27.114854411150308,28.860671503095894,28.023205512357467,32.071977247901,33.16219845460673,30.504196387792227,32.66714041305725,33.28904485703226,33.14695857446244,35.57859542350018,37.30080297472707,41.80461692121716,43.29332773118553,43.56666793443041,42.74671260920425,39.62298769308053,39.31894588641051,38.538818366316335,36.562716724522424,33.16509032009531,35.68257588242516,30.563080690140364,34.904754008170386,32.334752099869455,26.78533723581459,29.417324953621733,28.01671487547626,25.61587214839884,23.547955004905877,26.095820707627635,26.493502438367344,31.764047010233202,34.85523711210837,37.739081937805956,40.640120644898204,40.50701285389302,45.32525542856834,42.456125006559475,43.12363269507711,38.8706593920178,37.37676100600858,38.655920573926345,39.323486131038734,36.57518835757316,39.80527192140989,40.07495581134147,41.77018259393491,37.77093455673715,38.14223040495126,36.43185066790863,35.674013614585434,33.62889719586638,32.2155768270475,33.19739385647858,33.19197511125341,29.68320909036499,32.351716687009656,30.590477674205015,32.164556093613776,34.65386970812621,35.8131361745134,32.0063115698938,30.823366291077523,34.911560434511024,32.95016000123049,27.473411819778693,31.615012167787746,36.15145876949483,30.971494276685508,30.24857259751736,34.11599943853447,33.793282965198046,29.68289220190344,31.728033898714042,29.270564430360015,35.28280154184995,30.596000759154084,32.58872789065187,36.65505509369791,39.72183054272777,43.81767826059201,44.463842808006135,45.764340343133426,44.59126061295406,46.77467587353972,44.50765265800816,47.04442700212062,45.014583088656806,39.49793062065035,42.39049684270354,43.831567327980245,39.22387500521339,37.407648832440046,39.03965160623048,37.28591197380301,33.82605961602672,32.813768061728126,32.65181729121289,36.71978486381827,39.99277136445521,40.85661636869565,44.12113917624634,47.658706855750204,45.69097043854054,41.17476804681777,44.06251288462799,45.75534906205683,41.102468056630734,39.57013333391762,43.06393386417982,42.070880848494284,38.3450527527776,42.1874167500388,43.817831993308225,40.227612302020326,39.741944658741104,43.13596922507595,40.801845388136606,43.153520504300964,41.82155938587039,44.11610076448393,42.447273206835334,37.15395527269693,39.279658449552166,39.569382694048485,36.5405453234762,34.157245380023234,38.391059122866494,36.60355124100191,31.331153143122258,32.44336115826829,35.88641821845244,33.222342218922755,29.45805824558025,25.901048558725353,26.965249006525802,23.440004713069516,27.205153281974116,23.29752184255095,25.72695949286462,24.681195513362148,20.618107096338587,20.717514590996352,20.58095788987941,21.672759302076877,25.961622021655316,24.573552287754165,27.898224654249567,25.944350935879577,27.94417476972272,33.17681890792184,35.85828397540528,36.88671371956243,31.543831508670618,32.85522142721018,36.10118954460712,32.890523666172875,30.08391794625273,34.14911356014688,37.08378656445104,37.87831263703995,40.57628869438777,42.89157071075783],[28.309162930148197,25.725446683447203,24.606575129804035,19.924102883776488,20.44229621922575,24.473570555026516,24.315717662278413,28.751694483762478,28.35469354727095,27.036441415052295,30.165028406223367,33.74143849540907,30.424654215615934,28.21714937582392,32.89386946711697,33.77352037038213,29.728904719277914,32.56634186537428,31.85155242804633,34.22252776698688,35.66919918942499,38.58910020049781,38.015555148632544,35.77078990438643,33.81302208013184,31.041713809410517,30.659964578335522,28.556210310385232,31.929053666785194,34.03318593819243,37.92872443643,38.71554819121954,42.84198047736517,44.937821485875894,41.7608476795376,38.34673583218907,38.19401616951879,35.488504643517864,33.65485262197727,38.75834713501219,34.03096921063641,35.8713361236714,39.94740324960864,38.04545489268891,38.26767246651799,35.717337233053286,39.592393090149294,40.67485301316599,36.09939024785542,38.90174827675108,42.71352175224061,41.303700251734945,46.06676041365631,41.848138766571815,48.28378098477213,48.93400759135535,44.683013516103486,46.05647359423071,50.38141030960083,48.06437470889458,44.8077220710182,47.50258587685673,46.91496230145477,47.13024493810322,43.96583271031045,41.49130662434284,38.5496382526829,37.708032346431146,34.52290013009462,34.59397827173497,32.74010343232745,35.1084893317457,37.864295020272934,39.55087514176241,40.37875899216377,46.229183496309844,44.23170104895368,48.19791130532484,46.25960122210966,45.995530164046876,45.39653576395506,43.74357474673921,42.882826688261076,41.952855578487394,37.8957258604191,38.208945336547956,39.64608813167221,42.6603642525531,41.142940520801105,46.124877626498844,43.649240922208826,46.855828477877616,44.53955144140547,43.84167342339759,39.528633299342495,40.83729614106633,36.884898146118346,39.80446495962831,38.15323489352764,41.266464167698835,40.24957535634404,39.95567141813233,39.245130855247695,37.691177532481774,38.5202940718813,33.92752673645238,36.469315506782394,33.85694221303044,30.994484985389978,32.73093097519498,28.699686967604762,27.53471309689697,26.052895846099602,23.508929544038203,24.48356482921313,21.601033151487744,24.286573009625663,21.39096418239907,26.365652867160875,27.927196063646985,25.03587244224588,24.257355749520524,19.55867273535237,19.872121740890822,20.963559111912332,19.937356017559758,23.651285627117137,23.664556632347164,25.79350065628424,29.497391889506705,26.94808896999137,31.362886394257036,30.0253328179076,32.95436055482501,27.207089310020017,24.24069071766888,20.589317654325022,18.902377423714842,16.587519015753564,19.903268907248336,18.447835714037712,22.86255344170498,24.306940538816797,23.486274368286423,27.606821753573204,28.61639269901509,25.98958696078705,28.246667780822445,29.11911177904222,29.072478290059085,31.83891147586494,33.544288812053786,38.19025593752931,39.83617654081836,39.75609408283592,38.8011217700239,35.50512407423069,35.37404436155546,34.289197951125765,32.61740143878519,29.126760323085218,31.330392698175334,26.302911878919193,30.71981993536465,28.48668120639882,23.124753842914224,26.1751385857895,25.242046653981884,23.062421838571627,20.41638407296108,22.900007096849205,22.759761074018137,27.98695201870677,30.96138449904989,33.66938804946829,36.60773743998107,36.2203828446924,41.165702255919975,38.330279353338334,39.20318254906236,35.06425944469867,33.72504053738136,35.30741425319311,36.13326598179868,33.1759946830098,36.17650707162445,36.104104860828414,38.13426632787571,34.24213242871733,34.88869977120469,33.54356600353072,32.48299083940678,30.862906094535706,29.57866908590889,30.82258366180289,31.274005546404354,27.671347647364822,30.55965200155703,29.092483110313058,30.147137696459538,33.196300842103305,33.93981445614213,29.967272162690026,29.53386635504671,33.665768839319604,31.340396038130116,26.340597864130174,30.849319297616116,35.01734278502281,29.78371147833884,29.62283643434732,33.57804784236348,32.77981858668536,29.00547599856164,31.682036416961274,29.35429608541887,35.41486860847669,31.33054844589461,32.73214444125413,36.80373121246326,40.027923082496,44.38707929160119,44.77417711838512,45.57957307544575,44.18909989277996,46.08503736414874,43.41143139032021,46.13205769163788,44.56122144517604,38.74199659830447,41.342855241899045,43.2829164412088,38.826106866659316,36.56973058536779,38.09497704666328,37.05579124512364,33.5795455800308,31.766511945677152,31.628880154257434,34.97764574116853,38.44680698585983,39.393234727293866,42.29227494372311,45.910750927911266,43.51608274155794,39.22026368080075,42.41282107366006,43.71197420001385,38.90035785937245,37.854203212490255,41.339013074968086,40.181220066218046,36.73867700719995,40.92546091593594,42.44206662435674,38.82492570158937,38.82137334168612,42.36172139923763,40.14100457432858,42.34191178589701,40.70694561298429,43.30659125038155,42.02835593253428,36.49483167893315,38.56006040508737,39.383188754160486,36.445493967254556,33.724351836401546,38.325823855862744,37.086649183368976,31.585564224803882,32.43802960831756,36.439968688842114,34.20325473062509,30.300887273556253,26.58358813381693,28.496993400039166,25.05598227368902,28.512472983169037,24.054837221289674,25.70622472298111,24.069826571254502,20.695904007681925,20.605809025742914,21.041208867256213,21.46400754820426,25.36271831993867,22.957188090267813,25.943125347957068,23.342091801948587,25.749220214480385,30.657523690418262,33.572318099208296,34.122173298576996,28.85246034214071,30.73280213467009,33.69133137124953,29.96298917307932,27.79960513329977,32.11345061846243,34.675511171064805,35.39565280112788,38.14947659319806,40.44044773870855],[26.052321315770918,23.041844991064195,21.06642249745863,17.271132393624416,16.678119544530112,21.970103362694502,22.03224465562779,26.38357820581156,27.008384608901597,26.16780341946726,29.678050804070313,32.7339676066505,29.339522683328394,28.06664344582684,32.74271742910598,33.1005501898541,29.178987608025984,32.39048236981968,32.21374052146912,33.874748982018836,35.74856962580119,38.260145093311955,38.16640786624548,35.9250080585615,33.494580478273996,31.067331700025775,29.950329864798338,27.855285466624697,31.0605390972937,32.75287278689174,37.54513692017928,37.44957390888437,41.804445245446644,44.097798316001885,40.584205630933816,37.3913940396752,36.49791421463345,34.0460521215457,31.91673761810354,36.5470297153848,32.36480217820266,34.8797569612223,38.76881969323126,36.74794129664709,37.36841532480138,34.673540181726146,38.4738603519652,39.23732089193864,34.22832505216261,36.75007975683814,40.32899275339801,39.07705402379306,43.92745830585146,39.7159752067354,46.05416224767387,47.18749110498179,43.20696124567292,44.51320317503557,49.00373824159962,46.979198022306974,44.0557864883771,46.97503242645636,46.43741679429336,47.2063219073592,43.83127661615193,41.067292070177864,38.93071203504373,37.85072140460225,35.37087168008568,35.35623881835177,33.99820589383918,36.872760330247516,39.019286805735526,40.58333115853302,40.746944659217476,46.54456726348678,43.98364341617321,47.721675271240926,45.37196915933555,44.83146456979504,43.69652193296784,41.58096024228533,40.32855957035815,39.02886831158656,35.132250032556506,35.93957787495963,38.01490445197341,40.87994206591624,40.15438909833461,45.19808901562543,43.253810441287946,46.90618936206545,44.56746554060695,43.58039717423129,39.225281532329035,40.902436418853476,36.91169570649007,38.97861892936662,36.954332988259424,39.528373159536656,38.35988323045105,37.25621926493905,36.625080623910996,34.35177113412819,34.674549404947435,29.87792705822441,31.90423952914549,28.940219229873552,26.08520988948467,28.307775618461196,24.592098960394477,23.960432761104265,23.300383255658804,20.977222501898407,23.14949803050766,20.555893204780016,23.796708939344814,21.403648394080847,27.060583226508886,28.21391846828694,25.712465711919943,24.486998928261922,19.773127780546368,19.23175647265527,19.562357749113517,17.231688582958448,20.257633672186504,19.70232843706266,21.21177906129454,24.958593519857452,21.750806878464786,26.055936718339687,24.971840870891945,28.254718868452542,22.619866359645933,20.13906085867973,15.694362306883027,15.201500896515439,14.054162542908118,17.790103688055183,17.62112477848666,22.160185362254854,23.784625225501554,22.274943506112354,26.07475068700706,27.020978012181992,24.258700980993694,26.26223648257982,26.49650269810484,26.733200174364637,28.867724245394037,31.210111865738952,35.42137524403073,37.60064408350015,37.866031915465264,36.5737677026771,33.4478508749677,32.6230711297937,31.998149787582534,29.416685807012314,25.957712575464303,28.960364600626608,23.847985407976374,28.157393030150494,25.47717382812541,20.194181520433194,22.370365300692512,21.443830073022855,18.56049894605054,16.41155437192796,18.642612986623984,19.231784126939026,24.484578145075375,27.541264607735783,30.556424186831027,33.36886420048505,33.64124975829461,38.202446186623824,35.33572190271804,35.74398546996378,31.542366491298942,29.77593282277206,31.021050270489084,31.82228236174875,29.196074503350697,32.82991288637508,33.42956814055359,35.25224572535083,31.89723906923513,31.73077548790132,30.035655130385233,28.799048245272797,26.535755049476652,24.833420631886504,25.696981620612867,25.755144504517304,22.05575153134262,24.801052391868097,23.258487214893815,24.662558514232916,27.556275090706677,28.6796401546649,24.840209784874908,24.107165491748553,28.395232928313824,26.537154212346557,21.43221175524985,25.8505268888839,30.344876462568315,25.615293676188408,25.384720055821553,29.399715445691765,29.091481991057655,25.60712876454022,28.058443574186988,25.348708550918683,31.28687587621911,26.736245990871513,27.831912795011515,31.97890596856564,34.82873659978521,39.41635982251896,39.39082032103674,40.141358496967385,38.5585987041483,40.365250136405706,37.730582733805214,40.268760419216264,38.68898181613842,32.88816466582703,35.44380823825795,37.277688945862714,32.82450063202437,30.573901105926378,32.09479114125817,31.02847110415467,27.561837881088607,25.776014065673618,25.691927246002457,29.251658992825195,32.66362374990163,33.748534537136926,36.81781268031451,40.55792916850183,38.37781635089356,33.94198105238144,37.25781188439027,38.85942521073944,34.146786670425186,32.98200371238686,36.76538367102715,35.93242147462388,32.39824703011395,36.36679117415658,38.249192909628746,35.02251474474079,34.626858884609675,37.96987469023208,35.47147388000441,37.366795084243826,35.538425405031056,37.90707141049945,36.842832258184416,31.339824114815645,33.020667975148,33.8737758414915,31.104165221007626,28.096038050869204,32.551054712120084,31.560113247123777,26.068060627325604,26.590255690662215,30.688646370778915,28.739202386948893,24.834730724288413,21.330939012350694,23.51705285221438,20.520333723371404,24.068383954812187,19.755508871754834,21.005915735581606,19.96791936371284,16.7271862176187,15.826688440678423,15.891207594085135,15.827119548585362,19.734475446543634,17.615028425291218,20.507941693179205,18.586109201859152,21.230443422475435,26.25942122936518,29.255655360874016,30.242557728629972,25.07480227887531,26.97288030908823,30.36325544824352,26.99111075514799,24.906747839475837,29.256687092867786,32.176690088801436,32.8404066552247,35.52103628461529,37.7556456301281],[30.1343565199987,27.271217012731064,25.556111356929897,21.821788173532788,21.44139831252205,26.699538911998825,26.71509831880548,31.055520479631163,31.506987416708707,30.39119070912566,33.79036503088603,37.023196512719394,33.41023170733701,31.893578198623437,36.45169154072032,36.8649806013372,32.69074942071663,35.51497325402583,34.71776651782766,36.48217577874417,37.88271593757772,40.24250951827726,39.759272143115375,37.224460717007084,35.223119811677506,33.04272270940886,32.421760928819786,30.760151544881456,34.308629306006544,36.39934709306714,41.004478444015255,41.287266502761426,45.6290351267546,47.63394983019684,44.105460337542915,40.667620717880055,40.06531883701229,37.07375303934267,34.78450931261203,39.18826987438215,34.609231435354,37.115584768139676,40.87664729104174,38.52117262495802,38.63025816680306,35.64274753878694,39.26264077906872,40.58681442105655,35.802191189664455,37.868375170881855,41.8170531256143,40.92163676220648,45.87010732472245,42.00815238200127,48.46719890469919,49.18801311461657,45.196693085698534,46.957178870355804,51.23888568497576,48.75626192607327,46.04000472704427,49.20998172472933,48.969238938044555,49.303395711939416,45.81557365653721,43.44630437949528,41.185558739037226,40.54654521352098,37.86224297358204,38.24714367955942,36.62378364145672,39.275063334448454,41.71079022585525,42.98663874765784,43.59036978649941,49.2633244344496,46.71952924538615,50.67418761511984,48.30821978897537,47.55537141673721,46.76750814718805,44.51025346812506,43.714441076596316,42.211463227652736,38.117961397787184,39.14259255242973,40.966965825985945,44.238709078046256,43.17994615449831,48.465839931541936,46.42019907343035,49.97145266580095,47.84227765258614,47.12869252603793,42.88920637084515,44.574301326662344,40.677888950768036,42.97471720424176,41.154623112286814,43.973321313191356,42.57034627487263,41.682025829130126,40.74784618909428,38.65702881090008,38.684204761465104,34.08409053757325,36.045402446362026,32.903889176667846,30.302792129920885,32.701568951173506,29.175577775676956,28.368932487930376,27.824105209279235,25.209025107982924,27.113051356689486,24.180991579017242,26.97940358706591,24.01461392695068,29.31829006626258,31.102017088941757,28.61585713807788,27.84961152880391,23.08711834337286,23.07806188468508,23.870916473862355,21.606505565569833,24.948308343921706,24.138190520386022,25.502504379702973,28.939459635372025,25.48045662944876,29.55173919770474,28.094534102153965,31.71715487985835,25.984091749610453,23.888159361031306,19.47045879694918,18.895865033834816,17.501079700047793,20.878182467109625,19.539454432005932,23.754970880847107,25.989033788110934,25.01146970758001,28.791333628775437,30.24703472365658,27.722716937582877,30.151253431521443,30.66260969063372,31.15306534281004,33.4516190488467,35.84468942906679,40.09572999436009,42.30761586996114,42.462483183975316,41.116591018487966,37.87121050355801,37.09258449625775,36.20695334747914,33.642702771110926,29.808147709368654,32.471373767755914,27.02874498971372,31.099456064558595,28.0285096706892,22.31282748870314,24.57084582801892,22.848211060377782,20.435965051901317,18.737170183535703,21.434639694693892,22.32791158534782,27.56548876662313,30.884192135566188,34.04007089747799,37.13001170987404,37.463601255891625,41.95830566428679,38.745121737115795,39.249754469339074,34.66309863033066,33.45463242274383,34.15780105928582,34.54336303609261,31.907565151151616,35.192063928126885,35.82733068396457,37.13406804438803,33.168453505823024,33.21568827921356,31.282771645162544,30.70840988488798,28.475065122024738,27.138488456056667,28.16334177206334,28.217480068718693,25.043733951136648,27.97018861923716,26.682838754998432,28.582820653705074,31.314457697993298,32.82929331718596,29.120181706458386,28.053004831124436,32.396377771643174,30.87406401931609,25.566933903478763,29.746254587293627,34.516033127197794,29.89502570696055,29.35258705395012,33.32416343238929,33.3027526553492,29.617778761159986,31.68328116907964,28.855817225784524,34.767027256490245,29.602668839708077,31.126331973524795,35.30130846639583,37.85967644337931,42.33883664489278,42.31381166028561,43.41701135828709,41.826593844920154,43.710913554885046,41.2885453273203,43.47951129949359,41.67447555376454,36.1013090771327,38.63278003380461,39.958896750392306,35.46417555753733,33.45514052438557,34.68888681527076,33.1305023554227,29.968847026776377,28.378407161280624,28.859151077915772,32.726209714044465,36.078469275993015,37.44390820855719,40.692863301373556,44.54703851521164,42.540033816435,38.033205042712794,41.40161634817426,43.21533181838389,38.5783287153291,37.29788800047604,41.16931742211186,40.453273997432355,36.823547623113576,40.60953209273702,42.59897703044579,39.415534215190505,38.76689449395738,42.004169516278644,39.38831735821967,41.27348682597776,39.51145466049102,41.59851301000581,40.43186281751139,35.09871787897781,36.576565011142044,37.10543866823892,34.382454565730605,31.413293900841406,35.4038155878581,34.16119958271325,28.90091085689901,29.260628297797943,32.84948039969746,30.740819135776814,26.997549222205155,23.87695899793607,25.134602352178295,22.294398433839845,26.35390534385548,22.6132764899532,24.472091633828974,23.92597128470746,20.177009786910563,19.31460895314526,18.686449775299156,18.958853376644008,23.196805518126137,21.778656859618845,24.572582927892935,23.083904499539823,25.815123990320043,30.86895328951054,33.8563416515241,34.944570346916244,29.814505818925905,31.618974837791324,35.069732115480456,31.756594453572664,29.564610651101734,33.8418368296907,36.824728865011515,37.475417053241834,40.114640631048694,42.35478496385194],[33.460071843596815,30.78134818335091,29.364441482170626,24.925461913975983,24.78248060705649,29.251841311414125,28.758231689610366,33.03492377972038,32.75866870671593,30.989024092876328,34.04921241369519,37.668852010717075,33.834645662531926,31.68828553437554,36.03455647316123,36.73051018147233,32.32997066655061,34.62012208132557,33.13805891820509,35.36791606436912,36.24491937350755,38.79771540264123,37.83597818235315,35.22787736886004,33.73033517881711,31.43050749213048,31.538218090921404,30.11308300025553,33.91881565204552,36.5141816483762,40.409032388495994,41.50065834113007,45.66503154471054,47.303697916610126,43.99907419932856,40.28341748872975,40.37047107030597,36.91867615457107,34.79927074699144,39.46089409105194,34.33857050718224,36.28417868803919,40.111238227952086,37.77120322899718,37.424542698555676,34.53064490328224,38.15428635035138,39.84050704822734,35.525254736719596,37.76425449312104,41.951467791218775,40.97653623391336,45.836196877428456,42.08246819100256,48.62577706119592,48.80559986339666,44.60554074864064,46.55749965382946,50.609529490132296,47.761611447350425,44.863895983742125,47.94238361568835,47.79746580771912,47.55700969320041,44.18959937775467,42.205704455948805,39.38122394729576,39.13377250686259,35.970077070023606,36.67408598375367,34.65716682334925,36.90159976936013,39.76977295688297,40.88685544515808,42.116085311204735,47.692270527164844,45.51475237802363,49.71220186860214,47.62583984419216,46.9718436663344,46.755017655629835,44.815634466482834,44.55509685019694,43.28654337355746,38.998115782915804,39.68868332940217,40.88295732004428,44.452053376032005,42.650489311343485,48.000101607849324,45.569688663446826,48.7703191228007,46.824337385634976,46.49158051632979,42.41563893305888,43.93749804471027,40.208059791192454,43.09121949227748,41.70727493966953,45.11520648905449,43.50684677032212,43.40860172773585,42.12265124466856,40.779999893542815,41.045665751614465,36.792610377109376,39.271982375926875,36.425438217529305,34.0240706890405,35.99753976875319,32.34366489452423,30.808931107844685,29.77227150802139,26.725076432875518,27.65159409127839,24.34574251218473,26.451169994050847,22.926258197945323,27.50645502816547,29.87028813876014,27.26857639624246,27.10185147742221,22.453111290520116,23.29154171946281,24.91178503382649,23.415846563623308,27.622015277421994,26.949969244733577,28.8310588005534,32.008043044296684,29.211195497629834,33.34783769516195,31.438821003043692,34.722785368452,28.847269045332812,26.396195427016657,22.826731465501915,21.063275788991657,18.69059103228549,21.50440077589824,18.82764591247604,22.706539526705956,24.977518216943444,24.733318456388517,28.66220256162844,30.382743511688854,28.123653642599095,30.968617661542165,32.13223194920644,32.68212898537219,35.61118139617482,37.6828518966242,42.26643736609805,44.313586815668465,43.98070469531254,42.69597015141771,39.189275867167126,38.92353042509502,37.442339832729445,35.59177544902425,31.49196437126144,33.30425889574354,27.83334596155928,31.848510908726077,29.089735063150655,23.31022613797146,26.402068311595333,24.67480328114503,23.11257831605674,20.90665142624238,23.8637028482134,24.091584357071714,29.23534588305177,32.539879438660336,35.458527113308925,38.783454628783915,38.60419059575156,43.351042601595374,39.99837491137973,40.96592128482418,36.309135401248014,35.743025593882315,36.58904571406986,36.89912070993184,33.92028308681635,36.46213052608917,36.46129129388576,37.84486912858292,33.31421151737029,34.192714035332486,32.64704085194523,32.30194656559376,30.813938064310744,30.005368820122364,31.51489726956171,32.1357010371116,29.16794811166705,32.39645021968658,31.448043095635285,32.98332514619468,36.129972559565054,37.30752615301576,33.44885223642199,32.91572561048703,37.23682265518123,35.33887088428011,30.297154496256766,34.6929179154587,39.16251290227327,34.257150271765575,33.98403409116336,37.96657799411553,37.487707995147304,33.766427393828465,36.1922043807584,33.61770142174417,39.62147573581839,34.876648494807476,36.37237095634395,40.51937670023289,43.29180236967746,47.7586365987606,47.82078025956631,48.77956361697819,47.160464152468464,48.94250525994039,46.31139936982093,48.591838040526184,47.00761133271133,41.311338315640455,43.66437029393501,45.182488373020746,40.77988314720713,38.56649326367245,39.61452599266886,38.37390808728285,35.32290709004571,33.24813903242864,33.9174106632124,37.290007284610326,40.791745657270766,42.24862378718707,45.23112338876208,49.12679495741604,46.77662228786035,42.45847679447966,45.99253096662592,47.46558666933545,42.68737068669479,41.74541164335587,45.48864633729475,44.53077468637505,41.08912825982214,45.15265557727107,46.90894875784017,43.50124489065979,43.27408105842057,46.67908724485174,44.2443777194128,46.21078355041315,44.3888361375572,46.699271455545144,45.6156744783661,40.1680135262283,41.756685078985086,42.48833574253694,39.73889155162161,36.734598536961535,40.88285117106457,39.74678137186378,34.42524209755859,34.764057142433636,38.46227470482043,36.400434488348644,32.64668360510266,29.427889739817044,30.74241463551368,27.743840766868328,31.69268222095917,27.73410211769558,29.55108549104357,28.47501181548491,24.895707284665537,24.37929628465541,24.12839564386498,24.357852445178768,28.442339996600893,26.41432392519829,29.021606651057315,26.885418521576945,29.815681043037035,34.62446438686194,37.730108014530515,38.30939540450239,33.18392829244804,35.316221614975916,38.3772726174333,34.567265130118486,32.711021803267236,37.08668606807365,39.65845551909691,40.276135401299186,42.9614261255357,45.21865744884367],[30.85315000663031,27.835413221198213,25.63839497406342,21.36313210216471,20.031479510721773,24.839939382647866,23.88713288900382,27.941681313478252,28.099772422035695,26.214668065267865,29.450156930001828,32.806726646843416,28.677194436207547,27.087277796556986,31.334305882464257,31.661617870293565,27.2407242217288,29.723705502190526,28.629055994328503,30.42828873459386,31.70072452237873,34.12297609562382,33.595762205685496,31.137766449929533,29.132649229815495,26.85949327406898,26.40592136348867,24.876226717626317,28.60702744682934,31.03613736977568,35.44293688204414,36.09178509908402,40.39114109275085,42.08243430800876,38.57979528940192,34.959622777118184,34.69403043621175,31.369919683761477,29.150571432232557,33.76982995114189,28.93514847273018,31.163283595196756,35.00849373096412,32.77449137614607,32.891983419140395,30.115689305534655,33.8917885685124,35.081799631344545,30.4416632891377,32.96458422541624,36.87223117266529,35.687925570474434,40.55090163238515,36.582638841047064,43.08454820585337,43.61840837954556,39.48701902829432,41.210755609391626,45.44032770882689,42.925760839374966,40.0368715263672,43.12642526952277,42.89759269841353,43.111648250575584,39.657451359303465,37.349254501434885,35.002420766069676,34.498132272543195,31.827948679155153,32.45631279122276,30.82347321525552,33.53160387436434,35.88206520944166,36.9315366106436,37.63541909260483,43.21680741112623,40.67477140171828,44.721921330892954,42.410932766048795,41.67761634182447,41.14652825336882,39.07237370464964,38.59612093353107,37.275974351361036,33.052298966654945,33.822258269132035,35.2973204150178,38.756816311692695,37.344392184069434,42.72275310962981,40.590465361371734,44.09084608535602,42.134156450383855,41.64869678927036,37.57576365846935,39.40240518560772,35.704386122933194,38.04728092115004,36.56249360252544,39.86936869515031,37.94292641586538,37.660978902083414,36.21089594325566,34.788375494580485,34.89349648278922,30.734381057828774,33.28477428529651,30.51272890404389,28.309061872066824,30.185805296075333,26.717800683763787,24.910964974395366,24.199068378284284,20.954919204122525,22.274591301817328,18.964360715787887,21.29751152614772,18.036557655298743,23.20395928418265,25.246722569884273,22.919441019636395,22.525102038148738,17.83365618506091,18.346046767581424,19.906251132128236,17.764452027649803,22.228651743764374,21.122549590278688,23.008083977138472,25.963974375433523,23.434052245406942,27.597490054329985,25.587787595652845,28.664225563582804,22.780026984367044,20.237308798414233,16.93991255243042,14.897856323984627,12.618797770555414,15.5402173184733,13.542476593846173,17.800034019600375,19.922000654627773,19.201723184505074,23.059804508538445,24.695842305309725,22.369992289828517,25.21091853528754,26.257175028230858,27.122451506353176,30.004356736586185,32.44551037109716,36.87538482085436,39.38852922515233,38.92777331574499,37.30558848835177,33.740538910692315,33.21647494095613,31.700447756079225,29.59162099829964,25.37153148610216,27.347322809385666,21.836529835521052,25.90804167744343,23.176559828990815,17.521764654701403,20.617324548621188,19.403554993578783,17.664492811451275,15.033368708131485,17.860188177711,17.930378367270045,23.110663143869587,26.385220608701307,29.336572060488837,32.64649896802107,32.623480857726946,37.271963679410035,33.91970056656042,34.81266818507302,30.20736975191037,29.555232290480262,30.5062639778615,30.971411984574956,27.949868250250248,30.67161863422593,30.73968824722684,32.3850870366712,28.306023342100836,28.94242408940022,27.562193634600543,26.738007864283947,25.30365811813585,24.383489841606277,25.97004267465045,26.865853071714263,23.78739383564432,27.151914242022492,26.504190397238638,27.689475243043034,31.27058898429463,32.235380282473315,28.351327747175528,28.407357594438956,32.775064067335286,30.82131953290123,26.29326828716845,30.87743019443388,35.09925473616918,30.5033652109577,30.707288183487282,34.72678061762654,34.08810882880111,30.88278968457746,33.69990878229024,31.09040906825889,36.978656760946905,32.61140511860361,33.40309524147976,37.529095328873005,40.22643974130234,44.99927293903118,44.62537164208769,45.08362724998548,43.18019570761421,44.63052413363372,41.65591384651326,44.00391147381506,42.86689486254602,36.94964687641622,38.973886679102776,40.91600081019992,36.70385619287493,34.08928730961932,35.025856822414035,34.49489966783597,31.461228373005877,28.634783152674636,29.35505649210733,32.07089519418481,35.70104129419583,37.30042299963323,39.99060689227975,43.99913880239537,41.37317627815688,37.22989101954434,41.09273914341621,42.34448317851502,37.51415154541225,36.98731756952668,40.8449143682491,39.92318295587701,36.73851725760257,40.952526780782044,42.783771266390595,39.603131154365414,39.605504291552066,42.99957582200747,40.54851736267808,42.19295432768509,40.00611944809347,42.456259911405795,41.858911090730345,36.2737546210694,37.58416231842957,38.823076810318994,36.278595310409194,32.86168545910258,37.22489378764326,36.73883662001586,31.29201730835961,31.221936544014103,35.446340830996945,33.9448710394155,30.120808048369256,26.921107311735646,29.107707649033213,26.426965148824966,30.061934043024092,25.774949132064958,26.68206022104996,25.417041619384534,22.606654640162294,21.56580982464546,21.63869925590468,21.024869572608,24.602834211898813,21.810498029633756,23.912859601383218,21.55632022568974,25.00312274736656,29.451111568003288,32.79211380143456,33.139965415438816,28.22827214920524,30.89532888987312,33.877494490445855,29.824340712400538,28.671667958425953,33.224489881682864,35.619870056278835,36.12319180266813,38.7855694043822,40.95955951763726],[32.100002406310786,28.942291170448993,26.424140034200175,22.739007052842222,20.923934187159055,26.415822366353844,25.613005382673762,29.576581500600046,30.25464228710163,28.54956991854648,31.921640740341793,35.03663499278098,30.787556241394018,29.642320970466308,33.789006511598,33.82700677132368,29.388972197628064,31.847423514291577,30.730139205448378,32.10349576903239,33.33664873378457,35.35440594881445,34.8969713825473,32.26268369594489,30.246796058944536,28.413995659967313,27.795308394626467,26.586081103426864,30.370147610271033,32.74967910369432,37.578022532267305,37.886295423180236,42.29359562171858,43.92475287485501,40.217578869313044,36.615953896455025,36.0469648203605,32.568070273985825,30.055884768086116,34.14211059097485,29.45246325314337,32.134856297627955,35.72756376364512,33.190449909796094,33.23000834037363,30.157209605868708,33.72972107933199,35.08283096384626,30.31339081189945,32.29039396705103,36.287524546422205,35.47315915231202,40.449979395073264,36.748614595833516,43.239599147766704,43.82124902071989,39.888493027749455,41.869881450683565,46.05139720857324,43.436644501273804,40.93438713732585,44.328166181229946,44.33034967822321,44.62788813735986,40.9793664845003,38.75523343456237,36.884839589955284,36.51053235934273,34.191399009808656,34.9960780261023,33.52692937288704,36.37875190795605,38.51236658164962,39.307097548825446,39.855529722590774,45.28588211783369,42.406627127078124,46.41745170314739,43.83778471139034,42.782682518212134,42.12309571014249,39.647804907674676,39.21771836717768,37.50905595231439,33.28287608382498,34.54583493936287,36.279756674955784,39.88586527659698,38.79698712150646,44.33601474940443,42.499474294272005,46.20084807142539,44.369044212771676,43.868028370750444,39.862879774677126,41.904619052243966,38.25723163519488,40.197401279325945,38.606313439267566,41.69457268898755,39.548637948366384,38.8758755931101,37.2954893880732,35.52275364641638,35.085706985830925,30.952837934171946,33.098713462098495,29.983436077379604,27.990035439225323,30.293915340815822,27.194157174467147,25.644873481277205,25.55966259779403,22.340539958282747,24.259993975915943,21.013726735221837,23.391910519521367,20.192511302470766,25.4564736208506,27.58523173415597,25.543712855035952,25.135052640707865,20.50650097581649,20.765933129210573,22.05668143091641,19.1862693420307,23.294109173566735,21.66362927947457,23.000797184023284,25.725487150325858,22.588707135261654,26.481463562133506,24.35282494116303,27.912129008369526,22.061523257762506,20.189636158616416,16.399080030439695,15.21490977796742,13.731506377115922,16.588993586380198,14.780048088263193,18.73187026796291,21.381336153197267,20.55734022149326,24.088645680207645,26.00616854128818,23.78538953752534,26.68106281673505,27.459780677265567,28.65477823175328,31.19505257699261,34.048572798123296,38.1987209067877,41.04452727857115,40.743937386941205,38.89423856620184,35.393394585755296,34.455119438319805,33.09241762358996,30.406952742897555,25.996995602115195,28.274245648260308,22.546708991379752,26.3103798746504,22.98241426919864,17.104592626493208,19.559757216592402,17.708972255833228,15.821518459601187,13.949734728506558,16.957503432045407,17.834018826848467,22.955709183909388,26.455968872642096,29.70186806944387,33.09354248983932,33.56496027790513,37.87400590269052,34.28172964181524,34.91503158207447,30.014953756659576,29.47320101315098,29.78708582367822,29.926365417858467,27.137759051035182,30.045270367879287,30.624533231492048,31.736312129540618,27.613383355427047,27.805961100094756,25.992495941252585,25.53572181534777,23.661072898680704,22.728380543020346,24.189227400326597,24.849173062401594,22.113391651411764,25.53821602020631,25.076582196669847,26.811632884415964,30.19994518122057,31.657454214223307,27.96820513597498,27.648784063939335,32.12925758171196,30.693629444400663,26.03063341882047,30.38359866791635,34.941304385081715,30.75333865137036,30.739790816714756,34.745450037049146,34.56748552250765,31.436779162633044,33.890909708822484,31.007630144639,36.76940272154526,31.803047622849295,32.626333395443034,36.78964635309703,39.05662231039977,43.89916602269796,43.24488896924337,43.861223989822264,41.8161379369233,43.230789001877355,40.40382423894765,42.39606416525537,41.14257162477485,35.38889329473103,37.32687580995386,38.88188616428864,34.67346872095926,32.192408242841715,32.895106108928395,32.08169338106874,29.293929609560482,26.518427952190887,27.70907972953791,30.70135697544447,34.25540463844401,36.15312308735963,39.04661741799541,43.20891699604922,40.8270901654461,36.5698433261612,40.552516540403516,42.119492158638664,37.41731444614787,36.759917247835794,40.848444410655084,40.20570821178801,36.92466242245934,40.878280290737166,42.99464753200233,40.09255639101177,39.710159734096514,42.90729964742733,40.224155606456925,41.65416093287243,39.378516535410945,41.50083267845918,41.00332749779865,35.561080435468675,36.473713668418746,37.55231534767619,35.17060052931303,31.58253679426532,35.53874657577195,35.10718146951785,29.84098974129625,29.403365051796346,33.376594286236106,32.02334863353653,28.329157684592783,25.549844097006616,27.368392266420166,25.124444957633873,29.054006402504235,25.22004361793769,26.19196854262243,25.572782625157355,22.60300559416201,21.110723264051543,20.56738035673607,19.780442953390875,23.48345081545721,21.301887723619434,23.212192321407933,21.613526991956352,25.24748955287599,29.74098857131996,33.110182787954095,33.79271267321523,29.00493756051994,31.603775635076246,34.870222070259146,31.104334349320165,29.922848207360214,34.42357608181367,37.065773156563644,37.531794977719436,40.115300198791694,42.25089101334369],[35.7012410534472,32.635561848427535,30.299417524033622,26.435002925789135,24.816275898827378,30.088954834999477,29.131527728825777,33.05614613677893,33.45660728074391,31.420620907183686,34.62084487194699,37.91343900988694,33.47303906752248,32.05315313431871,36.01311614965143,36.13112763736474,31.503917151040543,33.51873842860848,31.793205459094484,33.30393215272275,34.037102712742566,35.94024387301697,35.08096160028783,32.22495376411858,30.684125872499802,29.0621671355273,29.001199816547008,28.21082443261186,32.25127825635825,35.01424508106887,39.51006416407439,40.27010521862801,44.59841928626702,45.90814594451934,42.260480744046795,38.44091461488277,38.255259251671255,34.29675601166501,31.741223560089566,35.66869820770849,30.598840039445804,33.095297974904376,36.55903381544999,33.796014590909884,33.32220358611424,30.080060023673685,33.477488417264134,35.3434043884279,30.933123709004253,32.594392934576135,36.897093295552324,36.32966470216412,41.30561663617508,37.93009521904445,44.473952448545575,44.59680148173236,40.63280063358737,42.99140201596554,46.92531340175869,43.889664882770575,41.52426773425647,45.07006900911566,45.32904926663301,45.1670122115488,41.476648701718766,39.665608217814494,37.618116420402465,37.67995558339841,35.16026785850047,36.347415426566116,34.63533331152284,37.233725174261814,39.61587116701136,40.11771546726712,41.11102140948435,46.37234436400477,43.58231932711814,47.783586941952144,45.2627127517583,44.06899056366241,43.81690021488619,41.337814641299445,41.39429948289443,39.620858040724805,35.24573853970131,36.55776341005305,37.92201948065433,41.87512610277054,40.369383490708266,46.06828826261144,44.09433336766519,47.63016275557741,46.02299868792999,45.8189355627602,41.97305706112067,43.99632710066091,40.49068428425757,42.68425423535253,41.35530519928666,44.747829120016576,42.369947275626934,42.056077334235724,40.171743300718525,38.74607719707474,38.183052992657146,34.32334091903169,36.56711461960751,33.467278711283335,31.704600359646165,33.962511278611395,30.956107173013812,29.117100956457495,28.962563305067874,25.49879949432608,26.974386904449332,23.47872821133517,25.331654009024792,21.67221450541277,26.384169748287537,29.0833706375506,27.093240510470558,27.155331618372692,22.617972012515224,23.399884373864975,25.14142764206906,22.54872719387011,26.9967383114501,25.30324787192163,26.69738344452967,29.135075458711807,26.112448479849476,29.823406888114196,27.360414584394228,30.948977096780595,25.11297674446671,23.406865871503456,19.993829486878887,18.463447640391788,16.61760787279798,18.954948573897664,16.010784146529254,19.426106257454027,22.500523798982044,22.285676704379814,25.73970156992052,28.062629358099116,26.126473237536704,29.368920299707252,30.491291260814947,31.85680812601754,34.6489081362389,37.44608073232265,41.68962698417669,44.53464218271836,44.01956103889177,42.13364302022651,38.497222592248406,37.72175346019669,36.03237549465419,33.57432676810779,28.904501546881146,30.675033803621137,24.826450454394436,28.318147278661918,24.882789588491054,18.87410767714896,21.579027321044336,19.232489715414278,18.09807932163788,16.454501272678797,19.688770608851435,20.501253985750985,25.417530023961287,29.010808476722953,32.225774704707774,35.83182315401673,36.19783478928942,40.484525054995444,36.64352129558356,37.47393570703061,32.35266498674527,32.39505642511988,32.3931431011897,32.22654308918945,29.36548805317152,31.73028604314093,32.12581094231494,32.86845221394002,28.173480986544334,28.799256234603902,26.985599179920186,27.09493598782656,25.556505040542547,25.089631763647958,26.7928284892667,27.640582815902537,25.354646104314956,28.91381188004242,28.708490398375496,30.579877819045898,33.982146183750984,35.543156844810404,31.896263626892985,31.558542609998756,36.05079218133321,34.68516675313014,29.989707435715452,34.29093333086941,38.908454805346,34.694627514020276,34.603803862464886,38.606374506609505,38.448153226829724,35.20294935137392,37.581861907807316,34.692257597065826,40.48325475637042,35.312285267970296,36.32853836053794,40.502830149639735,42.66449920889042,47.464972842270996,46.79717359753363,47.54360836644584,45.46945057762578,46.872123378197756,44.09599619579472,45.89893360672098,44.61422077375729,38.96973783599304,40.80866840784909,42.12897542972587,37.96541034255585,35.5619052572735,36.01653766587677,35.05460680590724,32.516917134132434,29.704957932544463,31.264735376679255,34.23287384649417,37.77363846008565,39.86134846217624,42.752149788347744,46.98774309454246,44.598982653663704,40.38118121663346,44.44935792789955,46.025826536008054,41.33336604185373,40.72605378618876,44.83076338947774,44.188158988282304,40.91557075586952,44.855954586269085,46.974295278360806,44.0410843150086,43.645572361512144,46.835879244890656,44.13290614642334,45.56344875074885,43.289698752849944,45.3194397020648,44.81645473811488,39.43147608703198,40.249366434097524,41.22662826261602,38.87759411780428,35.29206250593896,39.0294256153999,38.52370326431792,33.37632017005795,32.83343184153352,36.55124983737979,35.16349822227213,31.569950821415446,28.96949359982784,30.347934501602293,28.159514182838265,32.301957151640856,28.67060344118051,29.919136337512874,29.382107893273087,26.194992157518374,24.817402991685558,24.074477754102237,23.459497429621184,27.27282994444072,25.277078086171265,27.099279779350294,25.543359261074105,29.23845544600376,33.67153382947739,37.06683268910903,37.656480546787364,32.899354435422474,35.544287160722796,38.74083180691977,34.86402143850667,33.7245134541842,38.23283751296389,40.79752610049401,41.24180478770268,43.817410884032675,45.961366181360376],[35.17869556261512,32.12158410078664,29.702719950529627,25.438810530511887,23.572501154819655,28.245052930928463,26.755933404851596,30.481769971040958,30.53199900178844,28.04795931913027,31.055015093075987,34.45576932430175,29.829504980132413,28.233932941813055,31.997577329235067,32.17001457316653,27.455827153848464,29.26089953863873,27.38465783293394,29.07594165193989,29.76857393115033,31.89245819038333,31.003408074793292,28.284373054967304,26.70849888580488,24.826527199386128,24.924027617553307,24.090759371302067,28.190917589819566,31.144765907172268,35.33696821261733,36.42107886091217,40.65855416713216,41.82490525325534,38.29018607636893,34.38467272550127,34.506318018997895,30.456594817166554,28.080087874896194,32.371594623453184,27.11205811859968,29.240182074671523,32.87934222979729,30.347378867297884,29.96099646873622,27.005024451628984,30.630658339747644,32.27845724056868,27.98350488291621,30.234291502950082,34.42920164876961,33.47823269058558,38.34572090669329,34.74882620894175,41.31146790332319,41.348094973794105,37.20756647156189,39.3881501156285,43.33626460776183,40.37102986639578,37.70411362507137,41.05041064550003,41.190773211834525,40.960113043702584,37.3777694490549,35.53366078976369,33.2429513462589,33.308380990187175,30.677036861077948,31.924609478583427,30.165427206612954,32.74353612918701,35.13103494089523,35.611288078715944,36.697049426798124,41.96502343911087,39.31797783956212,43.56821246936571,41.19659241616852,40.16957505321259,40.09544089086294,37.91158909538597,38.09765148850956,36.617672899413954,32.19658985171876,33.12796037106286,34.18721491100334,38.15204000736789,36.329137192995056,41.98684376997692,39.85231874338263,43.27593902757562,41.70738282244012,41.62446963652669,37.86110893646881,39.8694569332171,36.47829746198515,38.824273307260945,37.72601071028368,41.43377754130426,38.88474415529251,39.054816722503524,36.96875944467618,36.05929103962932,35.789444780478135,32.18113932050357,34.89362504547365,32.17697880611976,30.533231002680964,32.304286482662135,29.211697436156207,26.774116858791043,26.292262860493327,22.545808674434156,23.428812893102993,19.759813509083553,21.24142813269679,17.404642562220722,21.93026411606935,24.74605984437337,22.784057327804042,23.092096454594852,18.69805333018332,19.879146124179513,22.1091484412283,19.916908334708598,24.966860629097287,23.356500880949625,25.213263393612383,27.461257047518192,25.246079207135736,29.09118308592593,26.44916189772516,29.465091688292105,23.607317525143298,21.390511052418855,18.88501048011166,16.265045983676817,13.689035090002642,15.592582234088658,12.059349620309035,15.58037884294648,18.383560767323676,18.400865511826343,21.998884599227274,24.3041905101934,22.477526532227422,25.901839870198124,27.417157817839907,28.84432575337746,32.041285680252955,34.66619399484136,39.06628378986036,41.910476064410965,41.01548787304431,39.0899573296081,35.294319532478724,34.828676256952,32.7555507830396,30.809621691706337,26.067081014861508,27.299381193555636,21.5636181108099,25.153131265350574,22.222116375736245,16.41833417374531,19.90482977975217,18.26082523415453,17.560152585898717,15.035471133835605,18.174461687611487,18.132559201536214,22.9567246532355,26.380333507211073,29.317896610622753,32.974932082161104,32.92594955485944,37.41948296311931,33.643575604522354,34.79712855488658,29.84834969486312,30.124940947794276,30.577953169079954,30.641097707198902,27.473282884775667,29.444857593230072,29.26709626569597,30.503324405068998,25.82433876520047,26.996440270878406,25.753424530435563,25.462312504314355,24.599539337456928,24.335633316465263,26.367295802189165,27.754337822691824,25.32444690794626,29.016175197647847,29.012579770778913,30.233883090962703,34.111952809768304,35.14447414376012,31.357455683927185,31.74357240624708,36.154647185169736,34.34799323374584,30.13707684256123,34.699320446319206,38.86132973531428,34.51439590801601,34.88081959881956,38.88689155889291,38.227808673517075,35.215617281032486,38.09998192219033,35.44931121624971,41.26129485339414,36.78603856201536,37.420488438281765,41.538353877006195,43.98482961205095,48.88919955038671,48.19512812569949,48.52806776885759,46.38190940894102,47.5846902387298,44.464708005677274,46.54101162158529,45.657018293403425,39.768248308849444,41.40402582908874,43.25599559894317,39.24076636422608,36.47383340634759,36.93446837669922,36.655505567356464,34.02430556942822,30.61330213151626,31.98851564297358,34.22780434993953,37.92108334504361,39.94393318686105,42.43703630600982,46.64561173782049,43.838072592992454,39.884121253942446,44.11066798870987,45.24479018953636,40.425990029107304,40.25754343113493,44.22073320212227,43.35310636137968,40.368650197558495,44.61472786271039,46.51277282233149,43.477772436466985,43.57817887548096,46.920960682429055,44.420240115653954,45.827605700575546,43.39724678541556,45.7653131748837,45.49540055131781,39.93600103067506,40.87187078492346,42.28084080340862,39.94119970327121,36.242745134644046,40.37527981602869,40.21428959633287,34.886004400715265,34.347701240252476,38.52065310666149,37.3467479686516,33.63819686314852,30.764714786451968,32.81454406763513,30.455045746962547,34.230978379387835,30.11492274616751,30.872489492627505,29.71831280920519,27.066656979277,25.811572591777743,25.68460800593792,24.75954932044275,28.17237980413275,25.27344642388995,26.826645273546937,24.545983326207875,28.441866414660403,32.49026938174345,36.009073016609584,36.07927924251679,31.443974035362483,34.50978108084285,37.32033952123174,33.00724738066199,32.419622574261574,37.02739523768699,39.17337581952071,39.55143598798836,42.14408771299747,44.254320076917445],[33.820146994267816,30.517200294192786,27.467348641906703,23.87850593946556,21.007972413718118,26.35622164578483,24.831049372699816,28.329159177928485,29.13965999102697,26.924797160555862,30.177204298525037,33.134877715729,28.388043025185116,27.597153945650735,31.279220567738147,30.979692046933685,26.375558873298434,28.457903125078182,27.092142932784636,28.083103672803002,29.193425469526968,30.916322469242814,30.52637135568177,27.861361849315678,25.78076620221046,24.247029015185777,23.59743357846043,22.809385153543637,26.7527467410958,29.37166532301698,34.329945200578365,34.672300434284786,39.089006213024234,40.37967865706444,36.550856240008876,32.83167242963228,32.31692807001614,28.432673506047085,25.75666284435506,29.598126485439693,24.81622733622897,27.61582654292265,31.077033995909993,28.437294627653436,28.48720050768368,25.41161948735346,28.99758511836812,30.272005977203413,25.50549496920556,27.554412984644976,31.537205459769762,30.69479185804142,35.671245748583324,32.05072895666681,38.55897780581377,39.040991425333836,35.135697829476506,37.24724037224099,41.35688871878467,38.68066124531028,36.3105650135993,39.850399763321086,40.02809516120454,40.32682704127909,36.56725537922545,34.43856733973369,32.926608250883724,32.755655556277155,30.807821701241664,31.95638270966608,30.670560902485928,33.685569273513224,35.49309502732343,35.87133933879543,36.33225713869089,41.52252996422726,38.37137225657457,42.401975744578685,39.660958935930964,38.37707859610064,37.83268695198817,35.22116981514465,35.11540577376199,33.28573770508763,28.957153363699103,30.36046815620909,31.97494058609241,35.84422760192852,34.7153600597234,40.433021082506805,38.78176977294581,42.59231218821557,41.02197958041157,40.70536010253364,36.94329262362568,39.27646072586126,35.8944358698468,37.50251911634844,36.147188326903624,39.462737534144175,36.68376396113547,36.26966477013137,34.11851713365777,32.727493350263906,31.95173117625682,28.329420323164967,30.704466733355115,27.752073099688534,26.348594635757422,28.409756204521543,25.729346735168967,23.45564390818856,23.726656584736457,20.023418446894603,21.82496529611183,18.384506054569034,20.251596605732107,16.944019852330825,22.05286908107181,24.421340685708604,22.860699714010572,22.789891477122264,18.48582256435103,18.99458500686445,20.717873856863527,17.484875562605907,22.182651510299454,19.913626741665713,21.273589984072125,23.23579660311096,20.683072249736316,24.340287991271065,21.618935258180294,24.8962873142517,19.051335015049798,17.324750264506637,14.570224695002242,12.572862804494388,10.979648450845476,13.000991165328758,10.739737574343714,14.339290988112985,17.304397916603193,16.630706089655902,19.86285088579698,22.187004147293404,20.309795480958527,23.607623299240416,24.668291626189717,26.481307367692313,29.239694049541225,32.407224939683886,36.43129768397236,39.76548273444901,39.036970270009974,36.779327933607114,33.08663858560898,32.06903913655605,30.252353630677757,27.580165420990536,22.710349775680797,24.507195755962872,18.605229221255247,22.045496107987667,18.595284579004137,12.643683377389717,15.483992155980571,13.769910515915223,12.62410170370213,10.324295700999016,13.536830340786628,14.144889548509328,19.029983225648447,22.62403237534959,25.86504232264344,29.504728326472318,30.024485995776093,34.16650098154873,30.281559300829556,31.083756656534934,25.977248014131025,26.090235345347644,26.159431038174382,26.14089071044989,23.157125963272247,25.622074040069112,26.031918593903175,27.09627054330856,22.880178708148573,23.306575435014803,21.767743790815643,21.282158371944735,19.947001893186663,19.46383467864206,21.39547433528709,22.741731948896852,20.431090401376263,24.20157187541758,24.4867152824553,25.858472809153394,29.801722031162306,31.047519060558777,27.43219070897803,27.87998449730425,32.33030769018126,30.889489512900045,26.950221411195457,31.368622724986245,35.570679398725574,31.75855842760522,32.22566337534066,36.17929863110244,35.78547831548482,33.158520771176704,35.94660052998618,33.126351499841014,38.69368458944264,34.10708261848601,34.341027582682074,38.41140690635943,40.508271246773134,45.58228263325494,44.47176528238929,44.61887304755569,42.24838489998218,43.242743222124275,40.0564572163375,41.942859759066025,41.23107122370966,35.36552185031883,36.762234524989495,38.613495473008044,34.73411258180447,31.84457968852349,32.124562845197275,32.09556428261494,29.630973750296455,25.852744698228342,27.50837379038359,29.5340179981643,33.2182293011197,35.483448685935535,37.95279412177686,42.29703745475591,39.548532197423214,35.612694531617336,40.05588957656948,41.307891049176696,36.59091463425486,36.530466829539236,40.69322111138249,40.06716240989222,37.16503626188533,41.254109165827096,43.391768536306685,40.71880795060886,40.644025376330895,43.80414199492684,41.15061525211134,42.219537447491604,39.55355121881703,41.754424299517204,41.816736427162596,36.33587542984549,36.843164910454895,38.41884806554969,36.326984507884184,32.33339461280088,36.288744638136656,36.53904203520424,31.329756633339322,30.33789151491324,34.61940363348945,33.88046265748409,30.275401776803527,27.729884471893396,30.04432245004448,28.1862931406531,31.852538636104534,27.9270515605637,28.17519167463608,27.384871454526262,25.14180837007577,23.32704343618214,23.011108191348224,21.49288465224568,24.55017360893369,21.673953278543134,22.737678296942573,20.94354406030923,25.20239197971146,29.030096123150216,32.651675966293524,32.89184800811871,28.513193781893484,31.753325111272527,34.73185176259543,30.61149688899609,30.35230813391202,34.938139932316425,37.198239710207886,37.48877753769033,39.982275412783416,42.0085152827856],[36.86968540613734,33.55981251699243,30.53934701528843,27.289214720938183,24.542893545112047,30.30274735522334,29.05645448361366,32.591150648219724,33.6058891653325,31.519296602732204,34.802506805030454,37.7084129322777,32.93954915046111,32.23037140075213,35.85090420259511,35.46922684764001,30.830894935001158,32.71755300966085,31.047177927361133,31.849464063952983,32.626877384885105,33.95786686500678,33.361100403173374,30.42186780860408,28.692231434226862,27.652596919834536,27.231412203825144,26.883456198080193,30.922916370848483,33.63062100571162,38.6639673042012,38.974633655597366,43.403541704153774,44.5334388390701,40.62122747848627,36.850712711815945,36.29183064060681,32.127823631530894,29.23863755340057,32.45951640093479,27.672396619503154,30.717422540392025,33.83380370882457,30.799041481267047,30.417744340964198,26.95377660587705,30.15144177607602,31.958225251523633,27.36075338541517,28.542232509207782,32.80225297947979,32.545067043087606,37.592562959087196,34.48178989941891,40.94776869248647,41.19618089947662,37.4984816029487,40.063373043521864,43.95004501550324,40.93357284709629,39.023940244190996,42.88985212100818,43.40249315250589,43.4848762044835,39.57368048412584,37.783274516642635,36.511770146295504,36.674499631312884,34.814478458374666,36.23318332777033,34.886259362517634,37.800153577293074,39.66781067232269,39.769950013596144,40.39151835351466,45.37916976879231,42.074404629695884,46.15803356309983,43.26884539449956,41.66573795416666,41.232479480452426,38.29123038895913,38.458261296612044,36.260997197534714,31.915297712872857,33.776040151459576,35.411953734030355,39.527363455949015,38.45686008158346,44.32495714934141,42.81528819952374,46.64805987231303,45.25975059208975,45.059088168548605,41.40039402557259,43.80534678652639,40.48352588109489,41.99976881766813,40.6478825638646,43.87338422576119,40.96916991813757,40.35534266708161,38.08608721031211,36.49341139955017,35.23609977894337,31.715139674665732,33.67045461975819,30.390305757150983,29.189993230069042,31.662530709034254,29.280030598064975,27.316731511859658,27.956978148705904,24.347473504065153,26.373878139949,22.954386972852976,24.68238531355904,21.24614400050537,26.04482920473325,28.72794522591662,27.28526829428507,27.368979195824924,23.086798386712342,23.621609520531443,25.23771529075271,21.793959016653613,26.131449136484534,23.638862902859675,24.512664530663347,26.262216786785803,23.080796211822452,26.328621012728465,23.4674910595361,27.280385016104976,21.61721167722413,20.68131264742987,17.492836422862336,16.417714699312786,15.374165129959017,17.214450926356456,14.661078449447272,17.535109713386692,21.06123543196758,20.66401364518333,23.545082372727613,26.20840374655222,24.535210984058796,27.900918783324908,28.836804335472433,30.81128247089161,33.33410770616374,36.69277079497019,40.54723988736276,43.99946623587844,43.4144043581588,41.07722216134107,37.44162100494146,36.19740329212767,34.47190178464214,31.457987017079134,26.476594544772304,28.337098900156402,22.353110870739673,25.318526691774938,21.314598698533537,15.305566367730629,17.353686180475346,14.484251484149386,13.629456055318041,12.703536232812905,16.021595361541042,17.476139285024622,22.034480524189046,25.79430300456473,29.238634688149666,32.96557258817872,33.861428908840615,37.67154243434735,33.522784263766965,34.140771820722115,28.72636038311793,29.15351443263487,28.429993564689873,27.8937624601901,25.215739254186246,27.575943824496868,28.4433565781801,28.67170426888695,24.087037124962414,24.248980572590128,22.14817927842883,22.52878449726246,20.81550190068757,20.564039074143913,22.372531170139442,23.39643105981152,21.725348726005567,25.486873403644747,25.934520006967727,28.011998519047097,31.57122153497403,33.39669298204008,30.010821434578993,29.875773958002135,34.3983414189572,33.486720624296055,29.234752193095183,33.355707756700326,37.964190201168,34.40966299308652,34.49930778714314,38.43113924724792,38.51163553013013,35.74074982922716,38.068682749164175,35.00735274860802,40.50611264270555,35.18726002793093,35.72250238938035,39.83134267492006,41.49614157390021,46.52045984876152,45.26055249787262,45.761268237179635,43.33001853433393,44.38366922257757,41.48689566624407,42.91508653375469,41.9347491976857,36.37151339978481,37.744305801774836,38.9631142674525,35.0651594752686,32.486749234484385,32.45714760053267,31.851018827111048,29.75619245986621,26.28732168781064,28.540920235884446,31.052528183664506,34.5780377256571,37.14696534095575,39.90609718935735,44.366877793644,41.96686625455778,37.889747667673944,42.33971888405508,43.97255509962477,39.41761533049215,39.09870761702856,43.43505842638425,43.05984277014717,39.982382377338745,43.76829660625014,46.1483006377892,43.64694797960814,43.1375610387966,46.113956253236005,43.24255180032104,44.20851601261645,41.58286399467828,43.38242694403919,43.38689729598327,38.11919417184724,38.29819589255614,39.51566146812418,37.538246746573186,33.523924155716756,36.91105082377078,36.99737340626687,32.06751885441964,30.80030972315745,34.555598543919835,33.80291480329725,30.399914380847356,28.33615140908324,29.88670325625905,28.39911316937649,32.48459412131671,29.138954642660153,29.804803041052548,29.667468738421782,26.96977031354942,24.96449774933426,23.9438891663008,22.59534837503183,25.952809795117457,23.99066353651376,25.052990758593456,24.0610287467055,28.256138693030515,32.250222781449786,35.804328985717426,36.413154493720405,32.06847964701006,35.05619553845166,38.30818655536302,34.493181920606915,33.94080502732057,38.44864819428237,40.980689832846565,41.286122258391714,43.73291558473349,45.75208059271294],[34.3170302211947,31.00968289050296,28.044795046472277,25.094146912579255,22.562362077324256,28.639562572123843,27.84864974758914,31.558078902660828,32.8158231421903,31.21347384110185,34.67516896374388,37.47361319971283,33.036337971560066,32.445396196699946,36.36285104021095,36.021603476895166,31.58460777199319,33.92437368181764,32.76448617706649,33.577583526312566,34.7418767594589,36.2203838678787,35.875713596756,33.07835994459421,31.057147136928386,29.802855816570357,28.99090570498368,28.222883283635593,32.02581863600038,34.35693903461122,39.634225766891554,39.55974827003701,44.05636305556718,45.54474660927464,41.608559172228674,38.04439296852327,37.139586084878616,33.46207019326122,30.62465488496537,33.963813497358586,29.525512204372273,32.72090494511317,35.94040858584676,33.06589720992894,33.02997545415634,29.65736529247777,32.91889697423637,34.42091995786588,29.563147974901632,30.83320933675766,34.8705489136621,34.524142101600894,39.57888403642544,36.25928188856226,42.66486993990763,43.29277388051052,39.64961527508401,41.934107458469136,46.011633771601886,43.29974988937832,41.30775507239304,45.0519191162113,45.35003277796434,45.755371512033825,41.89386213182986,39.79543797730245,38.558923091358565,38.359948767005214,36.522387698043005,37.565239601723334,36.321765297629945,39.346665194716614,41.1660100484079,41.605633554279414,41.949175288596116,47.13318740492648,43.83376721229761,47.77211223703738,44.868217652228395,43.405214569778224,42.612770256309204,39.658245731533505,39.34260682721565,37.164890343197484,32.97831785634909,34.84036034764285,36.83980927367267,40.62026465138288,39.91844017200488,45.6246147989505,44.17944129955926,48.109530730996774,46.47600503855254,45.991204939700616,42.13198876429711,44.45781295931443,40.936357153880714,42.35230341576339,40.69943862037979,43.565407434420756,41.05855510337166,39.99580280647516,38.16501580952916,36.07959854364065,34.93165991744461,31.000211992250904,32.66713613445428,29.210530594382668,27.64893289489968,30.378148007694726,27.8639143891857,26.49200103349205,27.183490972357397,23.968844261366424,26.46188492589862,23.313640306538908,25.604649532399556,22.530923428158967,27.772435678262127,29.988740891919985,28.353315134524074,27.988244444107057,23.540711718360402,23.592449967378244,24.674993321966397,21.061093485292236,24.79482030622977,22.48765141371016,23.144766215344735,25.350374035543762,21.65665354438827,25.040658855642352,22.671740355573316,26.72607648624442,21.077353003975904,20.15091974843961,16.144406939597403,15.91104988758824,15.36461624847104,17.85676393426524,16.311375664274454,19.68005272247712,22.837728104210182,21.939605123966203,24.948916807390443,27.198959113330048,25.20362054310139,28.16508619950742,28.682842362661756,30.345056052167408,32.51104339082112,35.85893059942325,39.625854462189274,42.930045313940276,42.72056317166131,40.54357179057183,37.107930680793544,35.6944443493944,34.43203803997137,31.127159359514568,26.495695510737605,28.987566451779962,23.129331622787298,26.367647590184365,22.38922753206743,16.497194085951275,18.025339524044877,15.379659115955512,13.49674703994787,12.812999925699836,15.883384377510087,17.700582512011476,22.486806671796533,26.179727708321497,29.709860553447307,33.186218689371835,34.245487842073636,38.0651688597542,34.177541942938475,34.51670537904303,29.296813266885945,29.02665150378876,28.483437609386588,28.165310778331296,25.702274770436667,28.712984581503353,29.90129171693571,30.314097769205546,26.220139078758052,25.851520400589987,23.53775765523761,23.57655578255291,21.238062444155897,20.398380748521085,21.743106648629585,22.205573229588513,20.12308274626492,23.634729341904954,23.620340282783847,25.950839860121572,29.164598429752157,31.172097590932935,27.805986038092488,27.21448535861941,31.75243680257193,30.972010891542464,26.415301443799784,30.421482658234595,35.2315799965294,31.680856707321876,31.534720306822102,35.454407056262816,35.76355577060516,32.88815827614268,34.976220314232414,31.82918409348572,37.31084128582584,31.786577217791375,32.475169360866374,36.60624363542709,38.26712272106042,43.216027862791115,42.09307895004431,42.78258865901371,40.48753054409311,41.73778037627509,39.03087340354432,40.52388488401866,39.26546689565013,33.744555398722795,35.4138326375925,36.5204967982984,32.436229382494,30.052189424630694,30.319785091330193,29.332580389636373,27.00111292823849,24.064012885358444,26.00674248405807,29.078884756666355,32.52044435739533,34.87476757116392,37.89490038600582,42.257877943667125,40.11369355428048,35.83411164277678,40.03658638276344,41.901076076280695,37.397126475022446,36.732222287459926,41.07696616713918,40.77793029160969,37.50704705382091,41.143169239398404,43.58817509843331,41.09588371198385,40.34009376569278,43.26415700758683,40.331897685216454,41.39469830245112,38.931363318856405,40.64562989359159,40.421194595441285,35.20243729653339,35.49995618151822,36.49302115376909,34.42155487108309,30.553474877921552,33.9322723590382,33.76181710926901,28.815621301979537,27.74601451867897,31.41942535024563,30.453181193380928,27.00944375781172,24.903553685367804,26.350700704115134,24.838655481653973,28.976556568482927,25.754420701229993,26.580221463735697,26.694127715497476,23.8113173376438,21.746295180778656,20.52760340651724,19.335589535640892,22.904140221275792,21.37837216724085,22.780631892065387,22.113076333121466,26.013177215610515,30.317415729738823,33.728464098508375,34.69057033625409,30.208373121868878,32.84132794079737,36.32481800789573,32.84382363729519,31.859118243949343,36.270747030790254,39.07476630125639,39.45372870693596,41.90705775379819,43.956349408313706],[39.110751921539276,35.95253841835087,33.36274180249655,30.098930182978883,28.092845579413492,33.91033839494045,33.0763479381614,36.87377501454616,37.73532306845686,35.815987719772885,39.107303079073944,42.18275241322673,37.59280736446492,36.56977486703149,40.3724672020952,40.2041545751639,35.54756595445925,37.41501880915348,35.53541869210858,36.59048413734804,37.131891122787025,38.495095741066045,37.61254545565453,34.533310179831325,33.15644683109828,32.14132704689862,32.04565713147918,31.724027565428443,35.82681123499013,38.60166680632399,43.43613573590413,43.93458337969525,48.334774876327884,49.4803320912309,45.63974308995172,41.81440784286831,41.39360209281133,37.17500185979325,34.31627362906813,37.485391662100376,32.57855632119811,35.505203728598644,38.55766953949456,35.39782424458475,34.65758719639974,31.053760427432746,34.018753552369404,36.25548879619806,31.916876387916037,32.68106602450578,37.124925900414716,37.15764418634729,42.19253184235868,39.33268096251349,45.7799427502808,45.80252514299397,42.13746957337289,44.91464144434726,48.65814964241246,45.38763384874151,43.58800150771565,47.51586381678045,48.13378392981933,47.93221638470225,44.03340941645797,42.472921162667106,40.95753515222871,41.285187281459095,39.12677589233587,40.58963497326465,39.005693505351545,41.68030135690143,43.87590572291844,44.01449943163029,44.94371932590957,49.948683201133285,46.811317397832504,50.99178433505083,48.19034083110833,46.58087875268936,46.303493224752046,43.36555732729442,43.63340404690475,41.3951389343033,37.04211662892405,38.9347192921405,40.47016270210722,44.65370602596567,43.41758939562125,49.30087350138901,47.64455967059623,51.34176422011722,49.94896623782733,49.8097786240133,46.09905201867388,48.345823569737455,44.94058985439387,46.753794462517476,45.381894153447625,48.59853525913022,45.92807579264377,45.27782698383576,43.17752130622251,41.47038801562435,40.251628999225666,36.56741859007541,38.33690357050594,34.89695534770333,33.495907036852564,36.177890511767814,33.65915625590869,32.04995812703717,32.52313224354693,29.078920969045644,31.02468766277584,27.580356185224726,29.351123153568324,25.729249655441183,30.335232104964355,33.20977628207901,31.535792378099654,31.67109698956488,27.23381109052055,27.86708169041429,29.42945889423744,26.25502465021043,30.359514519579665,28.16248169176526,28.961589583989475,30.98715788756594,27.406359206639138,30.596535522745206,27.949461504805964,32.02122960260457,26.433441513208315,25.60128122581866,21.943381383869777,21.257846844248714,20.13717601973279,22.22119480279772,19.377815579930992,22.16205223043387,25.769511289615455,25.595066061124985,28.58329194996348,31.260954774866512,29.54163301832147,32.86965015688563,33.78105936080312,35.51458880288381,37.98271089972954,41.18061383680571,45.11960087101356,48.310093044151714,47.920596032350915,45.78608581421434,42.205943933352195,41.02929287960841,39.436424706398704,36.43955678064655,31.57434810144638,33.49865924881541,27.522749541041286,30.490963890444878,26.44022865107775,20.449715751648405,22.290298308342738,19.05199174659644,18.170740180388353,17.72360523791784,20.977899091222966,22.615989538464365,27.18399472308647,30.951779677520346,34.4204607638141,38.12121489885687,39.01649685321979,42.84896904592201,38.70178513670474,39.271519117199354,33.824663126072764,34.19163173708965,33.312713772023315,32.621888988434236,30.11685144962009,32.44373692904682,33.40962803509635,33.30922244222036,28.474247508692944,28.65028005383893,26.297832685661852,27.155529381178617,25.234333968609608,24.976579073366732,26.537101701516907,27.114892771316715,25.573705233684585,29.109718032475527,29.243726787820393,31.766454656407056,34.84819099365776,37.000677918371935,33.674384863975796,32.90236699741586,37.427009740970014,36.71331942333777,31.95651431468144,35.87509641626304,40.82168315820357,37.129326374279074,36.76954844713687,40.69088792961309,41.06683109673385,37.91024970988836,39.82266375145311,36.66546737365817,42.21962351217027,36.35483673350654,37.459217006600674,41.604414886377626,43.15670354129179,47.96065190344431,46.938626377651794,47.92919242625968,45.693585262425735,47.02813077351528,44.50198111659787,45.74474305778643,44.3145746911205,39.02906996059088,40.68346855847464,41.36968244581167,37.31405314896939,35.17990209860932,35.20999005652735,33.81610836943197,31.797845082875025,29.135515312272975,31.405708137489945,34.630531512700976,37.9848062571349,40.479806440110515,43.57510443564651,47.96729222379801,45.91020220267164,41.62887772994632,45.81014059798099,47.752362910792456,43.27314474538506,42.53448946297481,46.86607903184365,46.5574071635519,43.21013073719333,46.79516917512125,49.22965962409152,46.637306548497676,45.79354880728905,48.71309889249801,45.75615853931936,46.91124549780276,44.56244775892847,46.12598325710448,45.74978389703012,40.64400197277848,40.927324086214945,41.64508916195159,39.55388779754797,35.837012027023405,38.88590480243818,38.42752329592867,33.68497567548351,32.650145440659514,35.82442780715642,34.651484018793916,31.374269794659412,29.470656161225683,30.149019973857786,28.621636570214324,33.071475866259085,30.16661087405448,31.550761652653474,31.773731728649295,28.433315999185712,26.651865191921033,25.176132583394345,24.456488622636364,28.286708677288367,27.126967015766848,28.643014712621778,27.975282624303603,31.788089985686415,36.17070345003444,39.55289456865078,40.480750431782035,35.925631550055,38.47400885965923,41.927461872300725,38.3643261941304,37.213242422774194,41.62743187469443,44.42342344485663,44.81204149142852,47.28021524493071,49.373128143458075],[35.1979542579909,32.028870128483646,29.367761333684257,27.182521976291017,25.278881493738915,31.723074459677584,31.720131328725508,35.58322119273142,37.1774151028468,36.207538324965256,39.81804112295401,42.47054564260947,38.43429175509819,37.960522811638086,42.12314818278989,41.8086663218957,37.5706953688046,40.195223752343814,39.28547186127467,40.0357632658422,41.309102510205214,42.68455732792001,42.398164012622615,39.54426486716343,37.53514998810758,36.38844636340972,35.424104348470884,34.55283879739829,38.191058029163756,40.21971702133622,45.71391560976255,45.271519051372735,49.81288582959623,51.554906717472676,47.56729338717181,44.17990139112489,42.94036266186971,39.56496514313921,36.67024449706604,39.695839852075274,35.599841243992934,39.03679178393774,42.11134956099017,39.13521240162507,39.09113559308039,35.56473450283738,38.57262734209321,40.184344841362346,35.283544611307434,35.99396164832028,39.966913012717335,39.979383157144184,45.03558841014902,41.92578107895541,48.18335735897948,48.99420472376944,45.57441127812375,47.908375226268916,51.9839069916452,49.31728637862443,47.57449304459904,51.41550658231305,51.741497252278826,52.27417879483989,48.3684547050924,46.23467213150086,45.14494083405898,44.840203428276034,43.031000873392415,43.89372614016924,42.671838282767546,45.68883333076895,47.556446937551904,48.14979143750261,48.380563080592054,53.61777936215569,50.25915456896173,54.0970591425802,51.101117149856556,49.56989214423215,48.52452087195358,45.35651245952736,44.75959444001565,42.363270645560014,38.377113452061245,40.52025272871209,42.850908947577985,46.45130047685405,46.12605473519561,51.75367009379525,50.44594258853075,54.456182479713284,52.69897978747039,52.01761043371348,48.03148136584208,50.285776099020914,46.60738818235154,47.9037693374051,45.95433953608681,48.35281322047946,46.244073022581844,44.57717466858563,43.17843148600696,40.452330293390375,39.11282904206475,34.87463110419154,35.846563709803945,32.032403531248285,30.238870012660218,33.494505124613255,31.118096444527637,30.693322873674916,31.62141395407626,28.966602965420982,31.946463781371662,29.099450802629267,31.767474230683515,28.912588528637745,34.30162385997135,36.314912424013386,34.547505393710416,33.886708409759976,29.337291362549376,29.00419249848525,29.501472728832102,25.780435591513022,28.498241603146926,26.397314827706136,26.45864837276813,28.94092222766506,24.380729386739684,27.392693443261557,25.649285938292298,30.191296978404587,24.97276215271204,24.620191977579037,19.791404641686604,20.91056743999424,21.022462493446533,23.85827837991715,22.85312005153582,26.202983866164505,29.359276985657903,28.25345751064875,31.173339351184442,33.23957208132251,31.096687796565522,33.686388088591116,33.71822298495959,35.09990813091128,36.688478184204165,40.059513996600494,43.56531635930775,46.69458158514495,47.03890186944091,45.04181480995166,41.9116438564363,40.20279555420468,39.518129151924995,35.75525438530767,31.52375649545572,34.60534157599184,28.910968955295537,32.05576770074364,27.86018165056831,22.230570080516024,22.815515980900226,19.82087815707194,17.42273434854261,17.8600594819458,20.48752634937761,22.973819394985636,27.57860876904788,31.201258768942264,34.8664004296959,38.08557074966678,39.53954934662174,43.10213245840432,39.35313672926339,39.27406466001177,34.1410994410255,33.380219418767176,32.468659111514945,31.998422819355735,30.077562892241296,33.55975561593801,35.343736414125864,35.332579364832796,31.501298821268687,30.479501202212028,27.62549293679609,27.993668893264573,24.868554805380086,23.64577758459461,24.25695325500688,23.68754845613044,21.822939655724113,24.698054572327795,24.163780454149105,27.362626877656005,29.55034797003669,32.267297025722826,29.27091664313425,27.50272967588965,31.921718085620583,31.835511088670906,26.724198747353565,30.075769930832184,35.41436734374029,32.181297560941026,31.3056077370451,35.054517448113565,36.132953327858644,33.00640022031916,34.20850279389193,30.805041452398548,36.03939982093537,29.55974996107067,30.873062357919334,34.95662338034235,36.13014736265066,40.780422652156176,39.77774058830432,41.160285452324956,39.09219121007969,40.70281672467346,38.6556569541189,39.747101903721266,37.791749153817484,32.826878905228604,34.88918762077659,35.10419364637705,30.826406245537513,29.209813037596913,29.60181868336521,27.364232428698717,25.179298670665496,23.677406990998442,25.63038405722849,29.875182412087952,32.89244852805595,35.13488676464787,38.72099564137656,42.938487461123806,41.524973537270505,36.9483027782861,40.67679883127163,43.17152412809381,38.98688457794095,37.61062293781586,42.00036056638443,42.024252121458495,38.3919278423199,41.447962268213494,44.142763446980254,41.8412571729266,40.3440357731067,42.962709510919495,39.80219350045591,40.918694219446884,38.82535342890407,39.97546605281247,39.309420133025256,34.526206073969526,34.69951267185527,34.906957237308205,32.84395644150548,29.36814635806423,31.989059207361688,31.155530996667242,26.683569835388187,25.734842342271502,28.45998333256873,27.068807727507526,23.938123066868076,22.426365543220193,22.57117448391169,21.500383310406484,26.08960915061463,23.907979731393194,25.502673180697187,26.642304216030784,23.115615048292607,20.982074106315128,18.740335012928693,18.233490732001503,22.227387260071033,22.409950628045134,24.226792622413722,24.66644557517942,27.87462340277584,32.55304065162257,35.58529136192989,37.28805119899993,32.77168511133714,34.61132610753184,38.51782791203145,35.802004161922575,34.016126380703064,38.09736017964473,41.41963219048406,41.88094650710598,44.247115748538775,46.30998891966755],[34.26611948437334,31.2676089041747,29.119232495612042,26.239617874433115,25.114099463444738,31.097096700068242,31.131271913285218,35.25931927596751,36.30150478094207,35.209227792528445,38.719504501623064,41.699057957219985,37.78790123878002,36.76626524817507,41.10319564738168,41.13949881365491,36.83914902307334,39.45546820816081,38.39923338590168,39.64736466868659,40.82370212745147,42.59804993057139,42.081479813720264,39.257876846292355,37.40327348081064,35.87047010577508,35.2240980479673,34.12507839472277,37.84448253236748,40.02797883520801,45.082709059054224,45.08226152474021,49.545005390517254,51.32968198170529,47.53601514142235,44.038366878917046,43.17471120765541,39.79606662448862,37.11630579588109,40.71597125548178,36.24741184148743,39.26656202492798,42.62014260171988,39.801454588135215,39.636731941524616,36.23696447663197,39.46140800617754,41.162557826352106,36.38900478925338,37.55491142440948,41.66547066073299,41.390653755399775,46.44294681251087,43.1053696477671,49.512664859797646,50.13527745030512,46.442908379067575,48.68001837668408,52.78464039466541,50.03025834841037,47.91460401951198,51.54580073801857,51.71716965502615,52.00732017128133,48.24466502768318,46.137757142219726,44.468116234929724,44.158038866811175,41.87844210269137,42.65329169268294,41.16212435653811,43.946181032095396,46.17035230928047,46.98153604448891,47.52882231723397,52.93562852764323,49.94931700447284,53.921939986430864,51.20249968887738,49.95356431104353,49.13900805308661,46.334331747657316,45.789580776124936,43.73298074339055,39.62013835368193,41.32366168465619,43.35037909711876,46.94172219896392,46.172240818788744,51.73720046563774,50.05430312303541,53.83061504363488,51.96474158294516,51.350065954726055,47.267914206097885,49.26697591281944,45.50085413963559,47.33033947658032,45.484471569953485,48.14530507476848,46.30137183641893,45.03562482533935,43.77258220221462,41.36572148009797,40.57334604397995,36.185926930154984,37.59542673566663,34.01886623589305,31.88085540909867,34.81858212456909,31.923990175706212,31.3032021580586,31.581928831387224,28.859208283426348,31.312612226098697,28.31740592695403,30.95030735832177,27.862781281605795,33.131487069177886,35.244282651109856,33.147220931732086,32.562649832445025,27.872976888818943,27.81125453034098,28.545286512612403,25.462267260336134,28.55151050525345,26.98298955520429,27.61477907244616,30.512515105163736,26.348533290792172,29.8256493737426,28.120487288953175,32.35652124572834,26.832524624318737,25.753364400019723,21.03676025000984,21.369188467082594,20.72527750922236,23.765012692336843,22.260135092495602,25.916330686974227,28.875998810961075,27.985324404518924,31.31361288772017,33.26652197099945,30.999324736839533,33.648675759778286,33.97057181267492,35.00646196035894,36.96526013223681,39.914356921266474,43.79257208883798,46.508416850081964,46.75815834333152,45.048523569960714,41.82452378058684,40.54473724371681,39.70610683676265,36.47326839938578,32.29975618172768,35.11999975222664,29.404069947064475,32.93028240806304,29.109780574085146,23.256972936349825,24.6684470698233,21.99367009439571,19.739128467577416,19.282544043516957,22.11429917869265,23.959796745739975,28.90367171023939,32.4872686033764,35.979926773627646,39.23592712452526,40.198264970943335,44.18978686376585,40.5696804857835,40.787285641756945,35.768960111382945,34.95437616404599,34.634391670468965,34.43419443368499,32.169525041741025,35.45812811400267,36.72570263646901,37.1453036844983,33.01637193549201,32.57341503138619,30.05918509698399,30.226298339471562,27.52595349142348,26.365480414065452,27.22167798708471,26.931605348909724,24.57730461918953,27.520320397964635,26.652752239408013,29.411189192222597,31.779144446501082,34.0714007337156,30.758835660181095,29.15823261992047,33.57874714923637,32.92443085766023,27.575077671624626,31.253180463251912,36.46542898054502,32.583797954461126,31.721350795467675,35.57949563606309,36.271972916292206,32.777545283632584,34.22333752378564,31.021533691080034,36.590708618031115,30.454148801255368,32.0674076020694,36.22097915066777,37.9565121993927,42.47350590418364,41.964201867140545,43.38149606954254,41.562871431338024,43.363633285283896,41.24000467998541,42.73979523781735,40.73603933965381,35.5730225228255,37.89138880222486,38.4363609863752,34.023727876075355,32.338454835915385,33.06855227006009,30.932441554017437,28.363505018579286,26.97174370020616,28.35505958680478,32.586461671061215,35.73835577541296,37.63216355275333,41.15193506012944,45.23053681775674,43.617829080676195,39.018990023537754,42.57354008668063,44.84828211623577,40.465348987580654,39.051067330018014,43.23875296854943,42.95909384713062,39.256048022730575,42.59028771696799,45.0036431806313,42.289704853528185,41.06788005613187,43.94528312988488,40.98520053588911,42.485183687011855,40.59411965192539,42.08416331534788,41.10293554798504,36.11378770087346,36.86626218335123,37.07393201692832,34.6886888678793,31.49704270016238,34.61329973982019,33.43286367878024,28.661654078936287,28.339868961521464,31.26217745694404,29.41049927457018,26.039804037349953,23.86765998411169,24.156642166763177,22.265597558193836,26.828798493995276,24.12592194428502,26.111191786528092,26.651998098235822,22.78580011756027,21.25016989465284,19.509531934413637,19.55011881798726,23.843078207099225,23.523219168403443,25.851139371532827,25.511684879998363,28.514837051397805,33.453732337984206,36.46526254716885,37.95331933329103,33.11228183220788,34.87947105198823,38.64035113724252,35.67957529745448,33.60938255308171,37.7743597476538,41.00675499389694,41.56179648175676,44.052608127275924,46.21512845494661],[37.98959981655333,35.08000059732384,33.10268557994074,29.96010229603559,28.978662574282264,34.76378214500296,34.6201868190241,38.75699782596348,39.52842534746142,38.12522273661304,41.50892574244116,44.676316157685854,40.58067042188436,39.294762642339116,43.50980187297947,43.6315743584651,39.15023665335247,41.4187781809726,39.863999043084064,41.24824343503292,42.01194913568045,43.70338991484006,42.84226744623629,39.84298349731798,38.395880969400004,37.02409760592729,36.835487346439415,36.05113463526547,39.99320723991945,42.508434514741715,47.28316630525715,47.685534801050274,52.09428704889494,53.61241138391244,49.86882099869272,46.17290362470294,45.64583488805595,41.858421639017344,39.146501786585645,42.6480167845634,37.84782324804563,40.69818037852409,43.95083248471463,40.94918999540818,40.345104132823415,36.81740461056803,39.86529580708663,42.01248559065603,37.56487638201702,38.45315175123819,42.82111449332215,42.762337882142404,47.807652426266166,44.75103284606986,51.207472129416345,51.421438645814504,47.70152374146774,50.26318721894038,54.15050263078554,51.02491945278151,49.026469605803,52.77980902489765,53.16801120489039,53.05069935358676,49.26289551162244,47.51218719629326,45.67105007780859,45.722136216095436,43.25082200110169,44.333890546963566,42.626415001018394,45.185332194210424,47.64044050543022,48.219367959438344,49.15737902547515,54.43427629434176,51.53986369918877,55.68361967238601,53.0238739636752,51.66623243010666,51.20940719272536,48.41098908696582,48.28346760321215,46.18180905158034,41.926278734074565,43.65355493178951,45.36152942345731,49.253404940279104,48.10963901220202,53.81665369862377,51.99607332408198,55.62471131322757,53.94172466980367,53.58171426347714,49.61738705300559,51.592905289725614,47.92845217541312,50.0099188388023,48.38642027353944,51.34020447866575,49.298914593897244,48.3650658741845,46.835576606789054,44.74229794134491,43.87201695015169,39.69705083485346,41.249271166137824,37.698754359221454,35.74587780342325,38.61076389134747,35.74242066258339,34.80795611474772,34.97988634934016,31.9971841145131,34.07442572784668,30.83619252701119,33.082857287500396,29.620105001487847,34.47464685249725,37.03882000679054,34.95596966978611,34.74077910054941,30.079578077290957,30.441632151510735,31.57758947524226,28.717568686922352,32.21715328223979,30.599513399455947,31.36459111262492,34.051013877994976,30.0402149563596,33.41864519990508,31.394814771156067,35.63001884862195,30.056524004155715,29.018506676725725,24.62631630698852,24.508186382322073,23.474553369845648,26.197843173179535,23.85601068722896,27.15057141447926,30.402306273172417,29.973546227593694,33.28192223058846,35.55472455819809,33.48921766692343,36.44551918309722,37.07948891117542,38.25307910411043,40.48126265304214,43.37735846328745,47.38672087018476,50.094027905341655,50.142675401546434,48.40622679825924,45.036660306006674,43.918652478749216,42.77610862296989,39.75454755732104,35.32701565989795,37.72718177981289,31.87377036551555,35.230111486279405,31.33342653835676,25.346498217624895,27.02398652505809,23.989201343856404,22.361486546956233,21.946046327010187,25.002940882929376,26.72918042215219,31.582902676888832,35.26112827175337,38.7341958137694,42.1917022558055,43.03756866251391,47.053749661025776,43.2136987569543,43.61865822733827,38.400495781693124,38.07913555595361,37.53209141510829,37.08588555646337,34.73020977859049,37.55359582120221,38.64653829635221,38.76670093811533,34.155674687228775,34.08927776130908,31.58821974426995,32.22979358758077,29.844942145702802,29.093401264559756,30.1937359514684,30.1248452836328,28.14004195061692,31.2342963919059,30.618652144291893,33.41287863556723,35.86022873997802,38.18349933572694,34.87028185910618,33.34460734942436,37.76740419257463,37.11076915072427,31.773683157526595,35.44639672557232,40.65859884693956,36.71353722459257,35.82826116879731,39.678792949048464,40.3313508082667,36.73597091923735,38.160224523486654,34.999643802449604,40.58129109194327,34.3598294032942,36.128215438391535,40.261611128992186,41.92137221459427,46.366077984724534,45.866476665601105,47.38958429294571,45.558209262605565,47.33999328185925,45.25340067087605,46.591970187659406,44.581688374731954,39.529638491384496,41.73822494549652,42.088013985943896,37.750474869157756,36.12526268479401,36.622473579780035,34.39964620571527,32.08819679659212,30.615523752769196,32.30975984499271,36.436590622257356,39.59072192309627,41.64589955649011,45.13506732840894,49.27797335301828,47.628808122813886,43.073989610959636,46.714158687459985,48.96745980850005,44.56854324466333,43.22686372402779,47.417122390404344,47.11150981528581,43.426063521964785,46.78092822361338,49.1716685235165,46.40402549290499,45.21182344338358,48.098131831723016,45.145063898172495,46.6573669677938,44.77079560707933,46.20180472688177,45.217943435676,40.28248009924182,40.97276260245073,41.10923749690689,38.75861903858462,35.590296431115284,38.51972699261574,37.2834775773373,32.658547583981495,32.25637229351745,34.92848703466135,33.06408084124314,29.838078431737937,27.832424922654276,27.74086755640703,25.904746461442567,30.55280978109488,28.020972839088124,30.202760290915656,30.706984399624805,26.72064887897047,25.350821272168005,23.5831717443771,23.73659707746828,28.032227765406052,27.69720004945865,29.933654279141614,29.485929359239165,32.60343235838935,37.492199265139924,40.55486757456785,41.91798064095493,37.06649851249995,38.92504300479654,42.60132777352858,39.4805222096144,37.46943156516459,41.67057664499359,44.81359006900703,45.346987597201995,47.84249212904961,50.02525241266356],[39.44255824706338,36.798369057499194,35.336240486193965,32.43871528203598,32.1958719349638,37.87720832991513,38.2225244731967,42.51419689113262,43.24111584912498,42.18192132594876,45.58328297672617,48.78247767630963,45.00907602380521,43.57336007717667,47.98475858204886,48.27274039768975,43.9042285666624,46.33594122364438,44.887638313256865,46.43184869502658,47.23051912391875,49.02751377404384,48.114731057946834,45.11351819572891,43.72524260458583,42.25722942626309,42.08810288237987,41.14499331994534,45.00847936148604,47.398882122182115,52.1115050213137,52.47658029107821,56.872468034307,58.56660370209268,54.88029986969139,51.249393734896245,50.67557554097881,47.0743911260636,44.415824444133484,47.97671612454766,43.2295483227254,46.059018070930115,49.34500875008905,46.35634001011752,45.71694381353448,42.167137552054335,45.15348946087776,47.38115748911229,42.950696628092686,43.71720479313126,48.08984540664881,48.111804131748364,53.15649850569856,50.118835441795476,56.55609458424947,56.80590718039507,53.102686919508294,55.64615140271759,59.54885273913736,56.41605041807676,54.40671150929469,58.12300279366895,58.45726106759386,58.31336032884905,54.56934575814827,52.8049820205254,50.80787082414233,50.78602302013745,48.14135146661606,49.06364805351468,47.26423470555044,49.69882238244657,52.32931272491294,53.10465839219214,54.10583793371485,59.48398588082355,56.72215636998884,60.8587915145512,58.26700646349832,56.99337264617015,56.477846305769575,53.70465642228302,53.4242684819713,51.33646201662862,47.14081937527556,48.85176821184947,50.63754447274038,54.41475851608548,53.312676553252295,58.93969837472285,57.03941269886296,60.60811453246584,58.7997746952319,58.3464370821974,54.26810058295574,56.07590173113331,52.28716407306259,54.52669420178277,52.76966084334088,55.53969629846409,53.8710076351336,52.745411002389815,51.539802868582534,49.20182565079857,48.45200331273678,44.044692074606914,45.372422666720304,41.732541735806684,39.519366642705066,42.531063963351286,39.55022263573827,39.07745208479363,39.127871599894355,36.45394032879721,38.59701587239445,35.49889014577119,37.93887533087011,34.55197147375542,39.42417781713002,41.877914257535785,39.60078630067754,39.23676912306943,34.51569823642473,34.74977784791804,35.6263305825665,32.97669026558437,36.01672105506505,34.732262568116234,35.38538735705978,38.36362419655584,34.070450397941066,37.403120044234555,35.746390637740404,40.106699086527136,34.65657038706262,33.65051386455222,28.914942388739323,29.195321065766976,28.27219702118673,31.22837912005764,29.073816841549654,32.47188162252106,35.617856253092214,35.1268404864746,38.5311219422749,40.64660559922018,38.44838024625762,41.20614487557116,41.67223573361644,42.54074740294285,44.57060498572078,47.28144869264095,51.27220514484884,53.661374565507955,54.01881592607631,52.534345403237914,49.32414267899823,48.21725571053016,47.35794160925155,44.293380686378214,40.122092243012396,42.759991235959596,36.98697851866821,40.44780864017498,36.567313394121825,30.621905946118854,32.10721691613132,29.04587091160239,27.176609143378318,26.96285888087509,29.880015608312668,31.726020449946954,36.6229635387051,40.254028405011226,43.74042289560672,47.065343285205,47.94036917836531,51.98557806574125,48.281972802647516,48.56428776717949,43.440366088188576,42.810864688873636,42.301649750728835,41.88806117397788,39.69338374482991,42.72232242357931,43.95099978297427,44.01982940537935,39.464200278033815,39.24458381624068,36.59093135423369,37.29744485073546,34.649365022652155,33.70621270880848,34.510893320317976,34.00882022791731,31.967835504460208,34.698427163077966,33.66810563084864,36.715700655937376,38.59613397715052,41.11967750068108,37.94144209652622,35.81764942806798,40.067428213485876,39.59570098690028,33.93147704900721,37.23452646986473,42.615038843863616,38.64154603616973,37.29527997792272,40.98397728370302,41.951517966008595,38.07293874615802,38.95705403271145,35.82123637966753,41.249045637007164,34.69742576945802,37.03759089918913,41.05918224561278,42.62923699706666,46.67922404624235,46.560582771193445,48.57589818776232,47.06692815264026,49.16821265863173,47.5187299727665,48.76851404727604,46.29381338832575,41.61375575332301,44.15769035358321,44.07028705000501,39.63147671937388,38.50639825762184,39.22418200617961,36.30435157968683,33.98313994703036,33.47926525031838,34.88544427181956,39.620404318750715,42.5339618932652,44.33097890508857,48.10409464926591,52.04875896586637,50.78756606517625,46.07978730717674,49.29477576172981,51.82890519633156,47.58235171459993,45.786821374694085,49.85455625898244,49.61632860424449,45.707564618737706,48.763354285607974,51.147390753877,48.334625198853004,46.7939465604281,49.5561070497891,46.597719123193194,48.32382877710065,46.821549612988264,48.018362507561115,46.581388435451316,41.93840599258924,42.82238866433784,42.4158827607174,39.959118506378914,37.28864326307404,39.873476016749315,38.015067213244706,33.729021798632324,33.74201314988195,35.75432774501815,33.39597890712697,30.419146752505444,28.591351273190654,27.584561898429836,25.714674571717996,30.443521837810955,28.54047221078428,31.38652585205396,32.25513936030158,27.835666015459953,26.815260396834162,24.73772558182103,25.594177374266646,30.068115835372847,30.527443040299932,33.146325044739235,33.003812011824145,35.58331899493372,40.72640937848682,43.508199697192005,45.21222064943397,40.25669725759813,41.564628862767556,45.382146617080906,42.67014304903494,40.05858280702956,44.00781666180703,47.40173390285842,48.0174559978209,50.47688054728871,52.69600669181559],[44.508028597372544,41.81306037252865,40.19816751452076,37.252689138439855,36.69173086755193,42.42719766698883,42.5008793281984,46.690806741945394,47.38523948785448,46.00763674194747,49.32995510804765,52.587388805006896,48.51416333826749,47.06114496417659,51.245457270394596,51.448267079848314,46.90582663721217,48.9553211216465,47.037408130399754,48.486111012175925,48.87422936803073,50.38683244065805,49.20708810733877,46.01797947680149,45.02187234015326,43.91461287141501,44.0922102491744,43.58860057874711,47.64470194492817,50.328636091350894,54.93915074256291,55.547060967190035,59.920895779562684,61.28611052147223,57.565184231759154,53.76524920304156,53.3973893618556,49.3500878562883,46.576357351982914,49.77023822427788,44.85189045542738,47.65514826936355,50.68673980994631,47.45282962170692,46.3928141985247,42.692896626027036,45.354583017218374,48.007652722332054,43.93444690003957,44.19544030404403,48.75108121251956,49.12885935530388,54.12119328461891,51.517364387625356,57.90866126095128,57.770874883627584,54.18083472454439,57.119214108251,60.73683566831658,57.24082641554041,55.544643772283884,59.47716019452928,60.12572121525431,59.63830962812367,55.81473982711107,54.4454488094385,52.54274370105083,52.924766567587994,50.30961004893208,51.61794356501182,49.72526154172241,52.02791865514635,54.71402427104581,55.11916942455089,56.39372519248796,61.52473895834955,58.69043456117729,62.94849316034337,60.29907934739298,58.77649013097154,58.56401904981491,55.64324991418833,55.8173448385692,53.54388510587815,49.25806919495015,51.168883779725135,52.72387444487154,56.83291448972397,55.512599630237666,61.321636986801224,59.44718290860735,62.96029363934481,61.42086257222673,61.229286378717944,57.33502323297187,59.2516909614289,55.62616582833732,57.881212750338044,56.331741651527,59.329014837719946,57.283894981006476,56.363959949705425,54.77810961630345,52.66941999022923,51.60671165571379,47.50231180993589,48.83422002254088,45.14724501225619,43.284214842377956,46.323205810122566,43.57531445692907,42.79716389871249,43.0130806260249,40.05441953482542,42.03953230218605,38.74005256170244,40.79041186745314,37.13064811263436,41.61036762421507,44.48653735967955,42.39825086784305,42.391976251746236,37.766613276270746,38.314292521352925,39.523473381348545,36.78742433119271,40.165277156219645,38.57279517401488,39.16794391223079,41.75085112706495,37.511295029078376,40.58454964977072,38.557300016074166,42.98897911777773,37.60312369596252,36.886107993021355,32.45626116761785,32.531578019138756,31.507878872969574,34.07549485139005,31.33125798042722,34.195244391126984,37.69003865857366,37.58326605139384,40.78241622166347,43.275897974525805,41.34907503806932,44.41310996107573,45.09935213766739,46.291392792734044,48.478923724287554,51.346658621520994,55.335484450237054,57.95235744019731,58.085136441204185,56.409395544032286,53.05537067085834,51.93594096878389,50.784233399418085,47.72321138102782,43.233976398539866,45.518879887871435,39.62287233367932,42.739990161681725,38.66838983673723,32.724560225052876,34.18112597020137,30.71768286987828,29.454157253603245,29.531307279778176,32.579009528721684,34.50338971590451,39.16649414006806,42.895253414513604,46.414392107282175,49.94435863632653,50.89159104797261,54.77905008919527,50.78001250783153,51.154718868390084,45.7859450634749,45.72364783934827,44.753067433750374,43.982321319470515,41.82273113730832,44.39234809284771,45.61656307970784,45.193761212178394,40.29649672310948,40.26402546819702,37.551385316043955,38.81599376280955,36.39836421112693,35.878196916097814,36.864150600633295,36.543113515437405,35.060338784171265,37.94590010293485,37.34762507799369,40.54103779198678,42.52116234183612,45.203199383895,42.11652504585659,40.102596132169964,44.38838764163597,44.100961518987454,38.58115646424679,41.83258584406637,47.24291902801542,43.46019247720338,42.168697054173144,45.843027451382795,46.87466298299994,43.08765906155315,43.95261762371025,40.77005611289245,46.09880315814731,39.386222616256674,41.65466766406841,45.63738047125639,46.90402442714495,50.9751179281002,50.59205562774124,52.62909089008502,50.97328824298102,52.92295773514446,51.29130401862799,52.201922877826966,49.81662876506316,45.30105904646516,47.56674351500153,47.195102594256404,42.936631531919815,41.84329301889264,42.14240546166902,39.22249024484966,37.35269591603983,36.60495000787401,38.54153384266536,43.05966868255021,45.94828213098569,48.07873242291574,51.802190313503026,55.89260621756041,54.62219678713562,49.99349584878546,53.42863792341691,55.98874122313932,51.782232718662435,50.14450700639278,54.32188902745598,54.171227801041304,50.33692949549598,53.35512074497509,55.83752478800765,53.14313953613616,51.57462736662799,54.25862578187547,51.22399305775746,52.76800569454437,51.12829792535144,52.158039182677456,50.917178515746556,46.37404280584475,46.92990090633621,46.53157723835705,44.267470089827185,41.43464297337921,43.67398922284182,41.99889046921321,37.95279756401506,37.58182477867784,39.34188931607727,37.24941559608133,34.50405054976354,33.070706395869614,31.806931857566497,30.35714642914227,35.11694788981304,33.47046763692416,36.213823294231,37.20444833548022,32.88073889857928,31.70087131335106,29.488439249453638,30.10237824997082,34.448720279846505,34.91271493630667,37.20922771667527,37.18282627980273,40.05917296614628,45.03017474955075,47.92469517915257,49.54554921209932,44.69895943905587,46.2300163434429,50.00327557797914,47.15539222366636,44.81546599439857,48.80955572405529,52.12039483187279,52.67341020644712,55.096933019036776,57.301956395715386],[43.07519464100363,40.65717522496542,39.574841961737,36.71435847221666,36.91685811271142,42.42096789174834,42.94662734447415,47.31091877755993,47.88181209379618,46.87666788293215,50.216174125284425,53.51279209664338,49.84896138745192,48.20980567023418,52.66328782582052,53.087815901705305,48.71373160585956,51.07341347355733,49.46485155016447,51.163210840014365,51.7916715745339,53.61087191803134,52.51307155263914,49.44505497684023,48.28323393140815,46.834086101358956,46.88116439638584,45.98730576030631,49.8932059454587,52.357972547349725,56.89172995664314,57.4265480777864,61.78186967779938,63.451623699888245,59.83165818995861,56.151187796158595,55.71054905262033,52.03719973502828,49.40341056015651,52.95730436462953,48.10011899989342,50.82730175821812,54.08120808714484,51.03119748293587,50.178369117585426,46.582749369038126,49.44042864766213,51.90308280969018,47.649488465814166,48.232607992951486,52.70472064507366,52.86454571473006,57.89222265513412,54.99282225720905,61.431377412412516,61.508295191586754,57.80615084592028,60.48063345062758,64.28346999715764,60.97936254759907,59.01553637314261,62.75255704506294,63.1522520005271,62.79722230892479,59.08071671091816,57.47979270033891,55.30989189810848,55.411718478220585,52.58201317719233,53.54840531775072,51.601549230269924,53.845598900299095,56.677335048278856,57.45990015656051,58.68026267634391,64.0434256419869,61.417688215380046,65.62521517502863,63.1118889023106,61.84443734112418,61.46509551126623,58.720638106938715,58.54245088277277,56.450209392409,52.22755659155252,53.92915415224934,55.60862317430166,59.452201629782145,58.19628273209824,63.831664836908175,61.816031144145015,65.26728545373761,63.47512621808121,63.089137196775624,59.007226100453714,60.6981447684792,56.894829385835486,59.344123218305846,57.618823267191274,60.418543172429935,58.87885254116862,57.80377381913851,56.663727191197886,54.33745712970973,53.63288785927898,49.18805519306099,50.46451090517097,46.79746412826448,44.523041754535576,47.569567139172136,44.538987429760546,44.171863845844506,44.10357236686535,41.4877559078727,43.49418825494764,40.37782786598101,42.74781117220617,39.26027877023642,43.93465270459731,46.512649449504416,44.14116053247432,43.85902294802357,39.14509209236561,39.48995999060072,40.39817095523408,37.96421424691207,40.93458680307146,39.808790653029206,40.46714994783369,43.50993756597659,39.150179448202856,42.423173838096,40.82612525630408,45.237981922905554,39.83039373132928,38.84451483723813,34.075071509013846,34.36310236495648,33.34326328964171,36.283485228665285,33.90766300571681,37.19644876572535,40.38110944163629,40.051137728624404,43.49137735382883,45.650824223425516,43.469898688419896,46.24669995753988,46.758886654438506,47.51729071616215,49.55981011080054,52.13293375029841,56.172926339791964,58.36524247449873,58.80176148880777,57.45668495342764,54.27284292807352,53.25421565403133,52.41383427125299,49.429636092076315,45.29149897446687,47.87127712913233,42.09241180851833,45.5376971313201,41.64985454649147,35.68513348077506,37.18699279685203,33.99436782027888,32.24938050894028,32.12741840692843,35.060060875966414,36.90640649933677,41.790742788130515,45.43123096041241,48.909064527689885,52.247777915805436,53.07759404719329,57.15573804651207,53.43471096241801,53.73947485461153,48.58565596737771,48.00065263467694,47.42787605417848,46.93407220649406,44.78220969037776,47.71531381729888,48.929580663773436,48.84757819460585,44.130316914459016,43.99984543559942,41.29241490470029,42.220060002572865,39.58234100316233,38.70942618944436,39.46513461149231,38.84217749772068,36.91682193000263,39.5199845498528,38.38289006537699,41.55055575146393,43.16433338217203,45.787924177348735,42.688243568060145,40.300702378938034,44.43079209152135,44.05027193034059,38.25878057926059,41.33817475511225,46.76473125940697,42.76532268887071,41.17060936533388,44.728139115807956,45.83876131261483,41.78721219414341,42.348543062244964,39.29547187151661,44.57269513070035,37.89524361754323,40.601013691295016,44.498604961206986,45.97277865349674,49.69912419613989,49.833227619152765,52.169591705366855,50.862081936778026,53.13011379392944,51.75420013004952,52.88039894409517,50.15151803144589,45.76226940351601,48.42968397368214,48.017487074537925,43.589258524158446,42.77304298093551,43.506819007000516,40.20639408887923,38.01446648750837,37.985974405397094,39.35106922347118,44.32949743287366,47.10349277634446,48.81615099613494,52.71805470184274,56.56636958699601,55.50897884220353,50.74811833939075,53.749636972419715,56.421137283358014,52.262091649754595,50.25283358537046,54.231162171370116,54.01460347377939,50.00455565866755,52.89045707787112,55.24140612363563,52.38578221430077,50.673602096930686,53.353297138781286,50.41971849172442,52.270698758118414,51.00328601846738,52.037803635613365,50.341754436663194,45.923795786045275,46.892064968080696,46.14939918248652,43.666986184500466,41.317083634394905,43.60722187449919,41.38659558073763,37.41598615218836,37.63138581332643,39.13719864837059,36.524192140083976,33.81044749547198,32.183328028723686,30.534176131961463,28.71636187499436,33.39398524923283,31.95348632308047,35.18812153546177,36.208688465573466,31.586904336599666,30.844775712237446,28.662156994806384,29.889475049847956,34.38642854589721,35.21494122078318,37.97723764572705,37.92866601362227,40.269479995028114,45.50667764152561,48.1500315468683,49.972974668739774,44.96997065596294,46.01471335637413,49.8486945371899,47.29958348283265,44.39536237682054,48.19594558667809,51.673096839798475,52.32084485677841,54.75130849554007,56.98889756107983],[41.966148433479034,39.77397796690105,39.17263223298786,35.771679852033365,36.6207537809325,41.5277979549443,42.0590359018033,46.54001038663895,46.58744809496986,45.50335409167335,48.66096213438608,52.19067757592757,48.740028901083605,46.63089085567465,51.154394315444975,51.908569813382016,47.592236956785655,49.92299596650694,48.26798356748033,50.404176225719645,50.98456203244212,53.18640967136745,51.933715036720514,48.98957581119742,47.934390062901734,46.112981180123164,46.40108940715951,45.27024729369097,49.13250222927946,51.65645261716854,55.70264585919962,56.62317475748206,60.839099128923756,62.55893542284199,59.17615516545779,55.46912116000031,55.35997728180723,51.79750028096895,49.417818993317844,53.47847392231435,48.39688321658361,50.70579854257217,54.202091942182115,51.38751280332543,50.52216313245394,47.13909579226918,50.212613552024564,52.62455389354406,48.472035080121636,49.56056367522983,54.059954338514835,53.88071514381037,58.86261833813992,55.701028268003284,62.22221160792888,62.19482412606781,58.255285114465764,60.738130205860934,64.57871771122382,61.29621669614122,58.944944348595165,62.39699899896862,62.59173931221632,62.061199705970715,58.55010436491304,56.936069034959495,54.238067694272516,54.279400866484025,51.04977975316242,51.86678209909145,49.70692507990437,51.67154014849931,54.80052235435195,55.82605489902649,57.30460578111956,62.782366424983095,60.56440479867627,64.82823785449223,62.61881148540478,61.6710347139575,61.46846671210719,59.11264319840591,58.921087489728585,57.18431568327752,52.90557587380771,54.16789627185411,55.5797625763057,59.31900655337883,57.6955939520489,63.17160127868471,60.821636477446674,64.00447863494784,62.09980385678342,61.758076522741085,57.63227242852695,59.03728989843065,55.205245766403095,58.124805025508145,56.514941744295726,59.51118474729687,58.259804115009615,57.56623889350337,56.583882778777706,54.568442550716476,54.382404487249026,49.842140072458356,51.50233841073563,48.08189070456615,45.53953634264767,48.26282747691809,44.8286143429849,44.29370510135641,43.66733846199363,41.077513276249164,42.5766811006578,39.45178744509879,41.737833835202665,38.19980656219332,42.62517204874045,45.17074701850044,42.5448103812125,42.31654675228205,37.65222382916461,38.21139253392515,39.27748650268926,37.49021621967083,40.667081607591236,40.0131393735796,41.124503262389275,44.46219517524582,40.488074108151594,44.134988468717914,42.58152124952098,46.701078657593726,41.08322544086488,39.526099613073136,34.94288561150344,34.65956906844466,33.1292021866012,36.12859664769965,33.52670632381127,36.98206819362072,39.83242170986573,39.653323549598795,43.36058004838021,45.32159449429351,43.06312789634223,45.79267720263518,46.530111094060345,46.95261715219613,49.28177405816597,51.42058326586195,55.74039259085525,57.51254176362759,57.84554344988789,56.79544542148611,53.578812989659795,52.97175843564803,52.017569515784935,49.556390012185965,45.560549301502995,47.90102749988528,42.2441934607155,45.973547002600235,42.492891934449226,36.497026728883355,38.580893591045744,35.75374937440501,34.01733173850881,33.249106131243664,36.23636307597329,37.56125533386371,42.629271478527635,46.16798671441773,49.44617890434786,52.75297712005205,53.12744334521291,57.557060200469984,54.024310952190056,54.58018807966391,49.60772869631449,48.923581984405125,48.913986129276005,48.70580393989352,46.26739940100661,49.085546695465624,49.84191705276555,50.232354715291876,45.396585608042656,45.71242354797726,43.33261662501892,43.95373599621321,41.6395413081598,40.74745512070505,41.68658290429661,41.30784589906209,38.93088728152713,41.62257370788966,40.254289113412874,42.9896541149464,44.832366540471035,47.02202488259995,43.65930205892191,41.534468406730824,45.644325194085255,44.723033532267664,38.88033461937659,42.247193736360806,47.439685944343346,42.90930028866471,41.43039860658589,45.041071578097906,45.704731051497035,41.43047111673666,42.29448195958766,39.51593307806975,45.02997568715159,38.9082971790147,41.71580403024822,45.64405798767739,47.685815630034305,51.33383099295029,51.88660121686371,54.117672062768506,52.985016816416845,55.36188566180804,53.81428139100006,55.38246437216264,52.714951985896604,48.03785537106633,50.88563616771371,50.92581080811069,46.3718191763658,45.35592057043267,46.38983083635917,43.35844088833504,40.76225889452568,40.59438069376903,41.508815301795586,46.36443974828001,49.30096116542439,50.721171690666715,54.49942426189491,58.22750324459909,56.920340678098846,52.182887540808984,55.062735813011145,57.4584824259581,53.12258720333378,51.158246770015346,54.92092147439862,54.40106460177444,50.40527098939131,53.57145825986096,55.61836951228819,52.397790451938654,51.03703536532738,53.96369951938666,51.266576330408014,53.437559925291936,52.304721336339085,53.71645553293509,51.818663601112924,47.17681783203993,48.6521920913025,48.044609385129874,45.29492032823716,43.11870247042954,45.958342215349234,43.59458000327004,39.28083240165208,39.9570908164758,41.86511846889911,38.97681444942812,35.98744745261518,33.74295957138066,32.53784984306047,30.021205030344177,34.48478090519942,32.47240793142009,35.833229891879164,36.22371768289551,31.53716091662534,31.312505580808093,29.689600818729772,31.174160708119356,35.7598508152398,36.04360672723316,39.115123418819834,38.41186909335036,40.56574814934667,45.901013072547244,48.5111120425339,50.07911918324889,44.87938747671167,45.88230804170933,49.49693401391214,46.736696929884964,43.67549534592789,47.491740498854334,50.787923659028365,51.516091835528066,54.03727411031045,56.32348575124586],[38.64517933722196,36.641099437360275,36.410382305289794,33.02298461087897,34.42596063757956,39.02981150838388,39.862106952388196,44.412699940484586,44.36440436478659,43.588061117557366,46.73739021795855,50.24173221332862,47.15182631983887,44.96124679623928,49.65823189314572,50.55888052167733,46.44924844909846,49.06182570639477,47.7814261264767,50.06239232150902,50.93390387107652,53.39702631366727,52.31907290099801,49.54263010501074,48.24755873445502,46.118306429966424,46.194338093365744,44.693503522611216,48.34960720071097,50.621867285398835,54.61347055347217,55.40576303103084,59.580206402018504,61.574207607332696,58.28795987251774,54.73965118575344,54.52818578168425,51.369816354906135,49.14772298824257,53.515643664657595,48.57857097382069,50.817854162984524,54.505829897521195,51.921839236224045,51.35441978540747,48.12907864227476,51.42122557930542,53.5190195843812,49.17266803537982,50.63781431732859,54.98669822253852,54.531574429955405,59.506199945573755,56.03245744494719,62.55096450560685,62.787210244107335,58.762743828327885,60.92160499495364,64.947100926939,61.94587546788793,59.331822536807984,62.56189712021263,62.48558008998347,62.183815606268496,58.78588595683777,56.89099093484112,54.041861098892454,53.76322785164886,50.445263711676915,50.91313971950103,48.793138223323936,50.76915947666324,53.90814642395666,55.28558057625922,56.59789480702796,62.257635222385964,60.190072139229294,64.34723521690874,62.25006058239688,61.55103113070036,61.14763655946241,58.97197841053614,58.43535311620643,56.90225313009032,52.72502208318794,53.76191908323553,55.29604948586258,58.73184293906209,57.22766587976845,62.49771288544191,60.07635124633054,63.2310130089915,61.09644847004686,60.55069405851826,56.28476034381137,57.516402595457855,53.55928164377269,56.55929449287087,54.80220176460427,57.60562479832073,56.767719222030635,55.96191847324386,55.35592083774877,53.20599697479433,53.36503964227527,48.598182880212256,50.26601494046863,46.95781339325984,44.10615590417944,46.72932994005803,43.074325810720794,42.819683564314,41.94412509651684,39.6658289181831,41.16891285421925,38.26591640529841,40.819884502090375,37.540227706310404,42.14745837895554,44.32268699214729,41.51172599778926,40.99945718266463,36.33518296609212,36.6701330465971,37.452570061811706,35.94723661568936,38.770760944509995,38.519434146996225,39.72781006143841,43.39532310403212,39.48591176106502,43.30740694074702,42.10168758955469,46.07497848899525,40.48607570326706,38.655457403708894,33.94616412505437,33.75565759334803,32.24589434419003,35.50088037437359,33.35950386309507,37.14511964487509,39.63878388163148,39.20800669929308,43.07052831114273,44.67744177433027,42.21823626289483,44.6442382642355,45.224495375014456,45.28335331314204,47.486687560542926,49.36140412183632,53.69395712618244,55.13804501845042,55.67302477047001,54.88131102208866,51.82467856548958,51.315675928157106,50.616078257732504,48.269361146894774,44.62370406268954,47.18310995146739,41.72568717416944,45.70956158026216,42.4802756163637,36.583306686800604,38.715348903966174,36.257340802350114,34.14203967046011,33.11876612596898,35.93632450642222,37.10077674365335,42.27896883446363,45.672532913518125,48.85378956286433,51.952308256937734,52.19698371212515,56.76348696319756,53.52696884312765,54.0336006556921,49.331445058449155,48.19211440690695,48.605585681626295,48.69690303611344,46.243454694320086,49.35501463018774,50.05829973433398,50.843998394057444,46.28035908672608,46.50396051466044,44.21505835099383,44.42700486469585,42.00147002033298,40.81525763504248,41.60314497359629,41.084316120746315,38.297018378332574,40.78112389071701,39.028299321974416,41.562619495093756,43.24046082506157,45.225596163073774,41.823365287128404,39.60115075020623,43.568064702641536,42.44164133394252,36.52751622832525,39.85227307787362,44.91562569143628,40.181259256271275,38.61249082087303,42.152038310791426,42.71806357785055,38.313394555943525,39.13043813208538,36.516180520111696,42.03903302062167,36.21543217846941,39.17651369392075,43.04381573774868,45.39305170670344,48.884282203260895,49.78242576206828,52.04166730052689,51.14358284770035,53.68386732274218,52.192364653566216,54.04556828216526,51.27916198634988,46.56268833996262,49.65870217385853,49.898793463066674,45.251226426950545,44.28521031452646,45.674547936212306,42.63315523624304,39.71161982910904,39.86950211861004,40.24567488069686,45.24219105840104,48.14160817319937,49.19770556979863,52.99340989813148,56.5145316463402,55.25229218962752,50.488511616542255,53.06635540679409,55.41672456068186,51.09486563494174,48.95875120294037,52.52346752724491,51.8926842633427,47.84433070668318,51.00148800688216,52.88404375861725,49.51358139150654,48.19702156042843,51.17871684413265,48.62341489852058,51.0190913675657,50.110369239955816,51.65965640973436,49.50462615191398,44.8685553793201,46.71214020112162,46.02759547036541,43.102577753341535,41.22614372312535,44.31348580506131,41.699657034689956,37.29754385671349,38.42524046193184,40.42255413230839,37.25171615798353,34.16537033556821,31.588593406357116,30.51290670071796,27.59317846492035,31.826178404841766,29.6718287403468,33.21138108905577,33.411547053457994,28.656959623556077,28.79990279970143,27.434561116194086,29.262416075345822,33.84756792953861,34.14597781313757,37.51825818289665,36.65726217224426,38.398643502916485,43.83663386715739,46.25850639496492,47.888294346317906,42.61007967341454,43.30642302527262,46.87507802637007,44.298511559024156,40.911787511402444,44.57301364407106,47.904433704510744,48.72086767630037,51.258903719297514,53.564475138956496],[39.32399447203787,37.62769353090334,37.90339881021326,34.364645948623064,36.370839230857186,40.46719412271127,41.45816698084606,46.050245249611166,45.6723671580519,44.990435389848564,47.990120243080355,51.59611132539297,48.79256267846443,46.30672349497113,51.056362369117764,52.19862318306797,48.216056650397995,50.847457338954065,49.60827846343887,52.16204187665063,53.02490894872393,55.71777755444315,54.56047165798811,51.88161853892101,50.657180123722355,48.30873642168095,48.50768830097724,46.83417078106798,50.39271973071888,52.625398767239936,56.28228197337507,57.2684332407632,61.324101868715964,63.402855954620506,60.29765305406857,56.78963835462681,56.74458354603569,53.745193630563534,51.69903974602694,56.33070513881447,51.330325607190176,53.32566242923602,57.13348249490396,54.70148436482413,54.13539590812698,51.04109897025901,54.41107227258308,56.48008609614053,52.208336176317395,53.896866561717935,58.237582427447784,57.624881343604805,62.55307160867281,58.95257277740872,65.47983086576765,65.68149052503075,61.55069138535218,63.578220098586435,67.61784826267056,64.65090506103839,61.827351499824935,64.8647143792861,64.6466262831291,64.2547725105153,61.00682453371376,59.09963668678459,55.928690216390116,55.577158680869736,52.006952737876674,52.311693542779466,50.0672886133754,51.8179743351552,55.154068372583346,56.745074302578665,58.20208745227707,63.92777748976133,62.1544377597719,66.30962616025273,64.4221800874374,63.94149558265589,63.6094096781744,61.67005937606363,61.06900666511365,59.74750223061821,55.587207177408075,56.37112480693977,57.77919348072725,61.088416445475396,59.410301248681,64.52092023508513,61.89797465272268,64.85689483881993,62.61866837898606,62.060638925543245,57.759781259717705,58.74777434445095,54.7626544247473,58.06603107069455,56.34097413634898,59.16287868342779,58.6412049475232,57.99370299748907,57.59892634326557,55.56066539803612,56.05358453976513,51.1997919677992,52.99506746586876,49.82899909525066,46.78369343554323,49.2378478097147,45.36911935212959,45.169837888177305,43.9508344017061,41.827462856951826,43.04234492258702,40.23470330856079,42.76830996024145,39.549726137914696,43.962814562210376,46.03671197675346,43.053981485116296,42.51838537930387,37.95291456417566,38.352486376637735,39.117223041128575,38.08300442294338,40.81911406621135,40.94238490791459,42.346495979181505,46.20808158525327,42.47669572846602,46.43410805886438,45.36405078189365,49.18135263283281,43.57361249577439,41.47711289190433,36.85283083946071,36.47291325055874,34.760127066801594,38.04923826027338,35.89470164574799,39.742613970548014,41.984815410368874,41.61153969035081,45.596665244305605,47.024068216281584,44.507692619384066,46.80829289961639,47.44945040265116,47.213389960847856,49.48459727688848,51.01481587264036,55.457464298303904,56.51474876333101,57.09886810109642,56.584277614494034,53.5987302579485,53.33887913776687,52.680458197841865,50.64065060982843,47.19729997020736,49.67609453820899,44.37051766321086,48.496970886127876,45.51526576226027,39.672984054591986,42.019257491274196,39.750907539837144,37.60686367634672,36.33842250179282,39.111481275987835,40.03068062743939,45.25590630860707,48.54888382796619,51.598545691414046,54.6102748353127,54.60981312917036,59.34729793450189,56.28501135480706,56.88600826836534,52.34537159609172,51.0659071010631,51.78935739945572,52.04042565061639,49.50064984722135,52.59504621918565,53.09679666963008,54.112001667395454,49.53811027557345,49.93658672186368,47.782030576399485,47.85473206956387,45.53375724006161,44.29853508644378,45.095078930769596,44.59142564776567,41.597048942966055,43.99785608098994,42.03749219509179,44.370135577319644,45.97691202840792,47.74909625229246,44.294665180997036,42.07687813267442,45.90068639471046,44.537997442542775,38.617343841472,41.90905902692721,46.786134109604106,41.8117135957182,40.18757666288686,43.61746560296362,44.005048049735585,39.45291446144254,40.2377590809726,37.88540648470156,43.35742209620958,37.917839246821465,41.068228144382864,44.824012148854415,47.442414757256984,50.68433183966725,51.95975691834773,54.29318739568298,53.62656712823615,56.308635680122094,54.880175559624384,56.933565347144665,54.08325427792579,49.38378161359377,52.6452232825393,52.99660680089051,48.306481960766824,47.39770170260205,48.99148213829455,45.932324479784164,42.848185391312214,43.205405147476014,43.252928989785296,48.28585145503139,51.16722785418816,51.96629432536751,55.74324665993016,59.09552824127318,57.83190134006792,53.080927192327884,55.41563722698377,57.67493927799084,53.34920742413336,51.11261055672035,54.4568791382416,53.67395193960959,49.61282853645047,52.787204897604965,54.45293515158052,50.88516801493981,49.681451100388145,52.72481696956597,50.354809205593725,52.98756916192716,52.308481195119185,53.9799890891984,51.57487218956653,46.984041610762475,49.16278017804188,48.38509374931847,45.318889705073,43.747427826679704,46.97963209241916,44.12440311846055,39.73913912066878,41.233955745534786,43.19902938119299,39.788382064426756,36.71283226208812,33.92593981092913,32.8397273192409,29.62563711716305,33.56443430935747,31.369665569131698,35.08605282917368,35.01530611831948,30.252554095348025,30.830922385480726,29.760820765425493,31.868056665780887,36.40678208116374,36.62715355191251,40.20622636832793,39.08953724018001,40.519020804460496,45.993204295181805,48.261597184333326,49.83221594420094,44.48688309398042,44.95368132414949,48.371271648006235,45.85978247854359,42.22634304321216,45.72310357642825,48.978498680072235,49.85715455969357,52.39357012732862,54.716479360239084],[35.76535170292721,34.250688373443886,34.88252326180625,31.04258124055559,33.56456807795816,37.08040677220859,38.151676703664954,42.75248519148185,42.060789024283686,41.49324031135834,44.36389366753827,48.017535120858426,45.53346121262363,42.83395283146163,47.65419522452703,49.002337046875375,45.2248645466865,47.9949366273735,47.026845888404964,49.80407913503259,50.860786228415265,53.853006486193905,52.802302251544326,50.343489357754166,48.96952025610088,46.28441321530492,46.40594507926617,44.405084563272524,47.74991150561847,49.81585187652026,53.19919913552299,54.25056544269396,58.18504673925933,60.43262384503207,57.51131941509492,54.13258277787589,54.1609212953754,51.50742450913213,49.703423369182865,54.70041988522902,49.77571134919702,51.524744990777805,55.52047225722454,53.38585459182035,53.061113535578656,50.217327546497216,53.802736867463665,55.56720574521376,51.241343592581686,53.4085857256214,57.59296485596359,56.63129595694981,61.480895332442486,57.57681649333274,64.07160128437123,64.42096592164619,60.17151920969789,61.859819147493596,66.01500462025867,63.30147721100377,60.155674868279206,62.89233107400901,62.39817122930607,62.130788488456346,59.068796781332296,56.95705588541134,53.53142211676345,52.91939096755657,49.19804898189715,49.19391369417234,46.9410605154136,48.60699096799073,51.99497691053835,53.90497324146694,55.29808067220953,61.144813831582084,59.62811916893144,63.68999549189618,62.008079162427855,61.8303549373417,61.43285243455048,59.80062774076064,58.98043808467896,57.9696951077215,53.89635934311627,54.32139988289593,55.67559582475966,58.70523595162437,56.97267879850199,61.83320580910639,59.06090606081185,61.88391104566987,59.46795197126869,58.79686048687146,54.429754073999106,55.19965692301579,51.16490970675219,54.666838387802756,52.929410101152875,55.72361078483367,55.541969113662645,55.03972389663824,54.90944333256505,52.9979971627897,53.936785745376,48.997691952635215,51.00822427971379,48.09862190700755,44.828775766284565,46.98519992749554,42.856888751110084,42.66530955296927,41.04390994346997,39.13033352549425,40.068263469555845,37.44974876793732,40.06499869016839,37.0773722590099,41.442328462176846,43.19655002944755,40.041035717365304,39.34169355883514,34.89115396803857,35.234833030702255,35.901481894810814,35.37968415851175,38.008508259649915,38.575497287381715,40.2647729287642,44.35469655394854,40.984331751861646,45.16703085467507,44.285514592129246,47.77707605216581,42.17186161572082,39.66036904649602,35.225850178717764,34.570976177355924,32.65964220467709,36.02800735505851,34.152805788673504,38.205819480293876,39.993039183310934,39.509444424159845,43.62878972957481,44.708498624332556,42.0778592935566,44.13172742734847,44.78850014664372,44.20252823430693,46.53881063578945,47.70212960044922,52.25259859740045,52.957861569665845,53.547224283227784,53.29127750911298,50.39178134729755,50.39443275119779,49.805147562489985,48.125366253855326,44.993873698011654,47.433067189770114,42.40633376902752,46.74712525023547,44.17681379504283,38.51947957644045,41.1273894598063,39.32960978363373,37.03333746979111,35.31177783099806,37.93321759002453,38.45674901580128,43.71667591105306,46.80897554296418,49.648428912868305,52.484283748967314,52.18125247551837,57.11186495280397,54.34946245737274,55.04537029445002,50.81634242621991,49.25852967930288,50.507857894656354,51.07954957768009,48.41140226581858,51.57220828268087,51.80980646326578,53.30060041016214,48.93726337139957,49.47009250950203,47.577142555510676,47.22290303397644,45.05638079612754,43.6773883316261,44.49700800160311,44.110613403180565,40.72249253798165,43.06335175276546,40.88772744322396,42.7793116969391,44.51189191115059,45.86230727231243,42.26955571291148,40.31803927541534,44.032051968619434,42.23146365348717,36.42712149931926,39.897953318988165,44.45825140779949,39.14629860779191,37.69629075759072,41.12281126625706,41.100530261686046,36.48861397189837,37.59385021767466,35.51356123954153,41.10976115802237,36.328582887355836,39.37298055070873,43.10285986793225,46.19220237462071,49.420877366128266,50.950368661381326,53.054580429600236,52.50833328008389,55.21261156260498,53.61263352296154,56.057833021129426,53.34624415797198,48.41776509243325,51.78150486570524,52.591666040335355,47.86222789593935,46.76055174739502,48.62389905800718,45.91036282160767,42.50060364985995,42.731696488467115,42.31384631388686,47.1391484575212,50.09680948160981,50.59175323994987,54.200621958323794,57.39192526153176,55.93594952286638,51.27224579997537,53.456047473574316,55.44725567758076,51.04176384703574,48.87355901949471,51.9892591117505,50.97088056768487,46.98966105730567,50.36544312091029,51.76413608554735,47.96033172454095,47.09100226070779,50.31301816627205,48.1710931619647,51.00628475953875,50.41240151234271,52.4132735630407,49.9258837524821,45.176063682279995,47.74409980562107,47.16899139545709,43.937416471139855,42.49281291316553,46.20157907189999,43.372366943374125,38.717663255829436,40.548745515209674,42.92986023340886,39.44005235726949,36.14218740963258,32.85914677962445,32.392940134444665,28.695775289910635,32.2760215510403,29.508653855202184,33.10158328108661,32.4514111078897,27.850322346500676,28.833930301277544,28.34604381269828,30.54234207673867,34.961006874892036,34.703061135281786,38.46085542884518,36.861895026895795,38.02108684867387,43.458854431563836,45.63240924833869,47.00239564643576,41.60073566881977,41.987260521087805,45.181786385014526,42.597645227966,38.86983791194833,42.30707769533259,45.39351375991493,46.33634414676007,48.92164924480516,51.263034396098526],[37.57111965160608,36.31070734014885,37.261067092199816,33.92322728115665,36.74675206024488,40.281553020509136,41.72913867454513,46.329537326131096,45.80104500105676,45.572287767066065,48.485103235074014,52.01717460271986,49.76718432811637,47.17254456224319,52.07247402258729,53.41837745949809,49.75476375475508,52.669899952669915,51.85234552979355,54.56954036021644,55.71355798268088,58.66764776392399,57.67088533673374,55.18501872934735,53.761076214830105,51.118461019836225,51.121085643829815,49.0690957512437,52.34491117421467,54.258057595363304,57.762831169755614,58.61402791697659,62.56309209424088,64.95752852616198,62.01537911774003,58.72691927077896,58.581849086369026,56.075106388812934,54.227939168971304,59.13554121423541,54.32887853926559,56.223883843385174,60.19184219445659,58.00796158705301,57.71406186403735,54.78755621783231,58.320380576101904,60.10668269109655,55.69178681243923,57.68915673165845,61.869041261677346,61.01831452816001,65.90880343921563,62.03142169907797,68.51236829015903,68.96948285152756,64.7812248977092,66.4713326787137,70.67051483344063,67.99041374216263,64.91802611216288,67.69800845876762,67.1919101544257,67.0133914789144,63.92295852369863,61.756253909602144,58.40981928711413,57.720030248996885,54.043370329354225,53.93424433014627,51.73039772536472,53.40986205222516,56.77260949675756,58.76906123435283,60.07100597602518,65.95468805887207,64.41079573373854,68.42018639475873,66.69748115172364,66.50595226554555,65.96864803898917,64.24540789566133,63.26487305191437,62.176146056008704,58.16487348294567,58.703685793892504,60.22915052223051,63.17026729635959,61.62324551129392,66.44529640271512,63.73458190915819,66.59929514478664,64.10394747750222,63.31480172359563,58.88631390642701,59.60592817688768,55.50707776113375,58.92802748608474,57.03904922404735,59.56932625559232,59.62929834588638,58.838487517410144,58.94366372822018,56.741163151709834,57.63758723013283,52.55699142572668,54.2904597916414,51.27388531962415,47.8899294322632,50.21628177778506,46.146434548766024,46.3596128256011,44.847812996971896,43.183913529604965,44.36603221295955,41.89177405177182,44.67767577536594,41.80668589231486,46.29444230439656,47.930458891225726,44.76263923956581,43.91134949557691,39.46216359782879,39.59432703021485,39.975261108567885,39.35756927787693,41.53024233412563,42.18055074530821,43.636535063904766,47.831315938321275,44.183490136575344,48.2359108523602,47.606212659004996,51.24731953991563,45.779046508135686,43.45552785825542,38.75195111315008,38.54734695278595,36.920131945581474,40.41150096529485,38.77597368116,42.869625403902454,44.708799651241094,44.09327378708555,48.182023206905875,49.202029611988834,46.49854577783403,48.39994390235294,48.83498130668397,48.126164868021185,50.17862095128706,51.31112031757559,55.70361143429112,56.24690588156294,57.138035926900635,57.01467816818759,54.29483012084838,54.17174134981382,53.86521939102642,51.99032973995343,49.03023177655709,51.73686743276566,46.73231039335824,51.069958785804076,48.37304525016528,42.712899831451814,45.03090881349278,43.11352584866857,40.62463660381876,39.19413683088043,41.73338249170684,42.50771911297349,47.75947946246186,50.853635902743754,53.765535472160764,56.49779425243026,56.35658767722014,61.19832523832489,58.507150256090995,59.031077417528195,54.831226646688016,53.04759510438018,54.19924470818328,54.747376843508015,52.25098341775965,55.6340084203595,56.10426755740502,57.472074926304295,53.19341524409426,53.47607130659985,51.38773017830337,51.10271770403744,48.65376017010074,47.12754436615295,47.71336458833301,46.99559349762929,43.649913227220715,45.718040414474,43.31241483814744,45.429624244945295,46.68447494948524,48.2324256063966,44.84271968396456,42.42628251064787,45.93556242436663,44.40153266975637,38.48555274062884,41.52031026280894,46.144531271363576,41.02087895478371,39.19690391308835,42.37253708692057,42.69858553371955,38.009152266153706,38.53101522652779,36.52044235552042,41.768311067673075,36.82951188498726,40.25978555033736,43.78289474408084,46.703443191067876,49.51772417444752,51.351233350735676,53.830025620285774,53.553457223433526,56.47654912615373,55.2579588119003,57.5820494860692,54.53472502003877,49.9819124401058,53.54553882023636,53.998342639761646,49.265972473847505,48.55740955260588,50.54556564165221,47.36943128091552,44.01550130460073,44.922530743496814,44.34887011332403,49.56661054357025,52.298794526868775,52.6182872413151,56.42555613551069,59.43547899436537,58.34458502931069,53.600277045504846,55.431430427902576,57.67196452566239,53.470181839178835,50.95086554876212,53.952076229015596,53.05673395573889,48.946574785748496,51.964285209554674,53.377193113692755,49.6583514943844,48.440838027755795,51.46050474893162,49.328544306301986,52.26659292317087,51.99323029770581,53.735511286710185,50.92350048966237,46.528821052688166,49.16345072456843,48.15362971936686,44.9168366022175,43.89687023873329,47.23640337067866,43.97839250101163,39.731969657566985,41.81855737055956,43.6433740438174,39.864376097645696,36.87003519501364,33.8585360336069,32.7068844881398,29.14923431050164,32.56697192582234,30.509192032040538,34.4835015419232,34.252040571685185,29.517357947175125,30.666465549417737,29.907695859859867,32.48325758827239,36.860865131442594,37.27471428852747,41.164245804183935,39.96613815992476,40.75041893419746,46.26643288460492,48.18690940408355,49.87826565190205,44.526083031635984,44.4585126142024,47.76410136886198,45.63641908912835,41.52190930475328,44.65207293509766,47.94140104503298,48.915983289147064,51.40308255804947,53.714952488877046],[37.85907683737835,36.269008654608434,36.68439405653885,33.69023767654616,35.88316015710442,40.119456600907625,41.5050794725191,46.093933940632134,46.03021983291011,45.77415842745947,48.905883818954436,52.30562317824342,49.740267579225495,47.517312822002864,52.401831454723,53.45518408180531,49.631954272558126,52.56032349598316,51.69055599321738,54.07372713958018,55.22204580360594,57.87644780098637,56.95718950508288,54.318687936864414,52.829053262156876,50.47643793598569,50.32883383589627,48.48980774283031,51.89876974819755,53.84600076437469,57.81166843764179,58.38564672317778,62.50609348554246,64.82862462582948,61.64095629020806,58.30177135915134,57.91107494570257,55.21080030643577,53.11618714320854,57.66326081639177,52.94006405126918,55.183402641917205,58.992286337546254,56.575998387370376,56.24918462918858,53.11301073545123,56.51184308851989,58.391067919212134,53.87479588521871,55.50336411173533,59.71671448489022,59.126472394829825,64.09527858848274,60.41293001624248,66.89206850431417,67.39553171484403,63.35726612649134,65.25237538467964,69.43410299746957,66.67628241053438,63.9033667311909,66.96251898027805,66.65548322331037,66.5739635007025,63.27442012530508,61.13737439858014,58.19143186482326,57.602288964636486,54.21740943222835,54.30991836772372,52.24064810141263,54.18618029392236,57.34289185719459,59.08375926387817,60.22499624353298,66.04826706181166,64.12657138535586,68.1514306991292,66.14835366209881,65.66182127247926,65.01552532519146,62.94998737411685,62.025157910299626,60.625479748591836,56.59683903896643,57.505260343606125,59.23255416033771,62.339057285297045,61.041791946860485,66.08215115292295,63.62773049684459,66.75033883870445,64.36939974448819,63.57914981771986,59.1654058185095,60.18028090585323,56.08322704912278,59.129256116210385,57.15443283415608,59.60232782222556,59.3244192411199,58.24107838233009,58.141194400239065,55.69262666845478,56.13680362696087,51.100413082534196,52.56723925217763,49.303885083462205,46.11421066414211,48.747015405989664,44.9536612876694,45.243356209727246,44.19876328357206,42.40286969923109,44.024234744088496,41.443230764386925,44.30682869900571,41.35048560153118,46.11028686067167,47.8869865834993,44.905053811669646,44.05888362366498,39.44746311189127,39.46018395292322,39.79467538492453,38.552951033515214,40.70587899778705,40.90950578276716,42.036144235462174,46.0399681676978,42.028421128833585,45.8645516207961,45.15284705788722,49.07536145566269,43.66277067656844,41.74400372270841,36.80352249164536,36.998645353281624,35.6998070307735,39.207488306905184,37.615358115530086,41.65085349852161,43.84060011714481,43.1370009828892,47.08261909488894,48.333463039781265,45.6741420798571,47.71146049775406,48.0095149135755,47.637289823014534,49.52572709241096,51.10158374017126,55.326736761774185,56.317789369790184,57.251230996704784,56.81188040857887,54.039394217687985,53.55570818474118,53.27953119215189,50.93753414738273,47.750614523533855,50.64949612005064,45.42761793199505,49.593387366846734,46.52143030127565,40.76561570426212,42.720833776687506,40.496206499829746,37.981563377685234,36.97385483298515,39.5526860069533,40.73386637058617,45.94368974895601,49.18468068778971,52.30470891517367,55.13297542184559,55.36124604540353,59.96972928503803,57.05526297864571,57.40453809730003,52.980849176225306,51.31050385722095,52.010621767861,52.328413693570525,50.00459412081336,53.47707883632107,54.285642591720666,55.291097215572464,51.01861880702571,51.00906033871082,48.6703800829493,48.61956728164916,45.9316708259432,44.42010587719924,44.9038709718147,44.02262430276724,40.96446026303829,43.03045968344995,40.78658276611921,43.291110073516364,44.43177641203818,46.36988342647864,43.11698325658581,40.4665377657794,44.10252658453218,42.99944843534569,36.9851163235675,39.89495165318995,44.846099368608435,40.0887843949315,38.15283134174428,41.39786655995325,42.13175705419706,37.558709913932425,37.86773819403065,35.49726311268136,40.70880341933768,35.08247486686384,38.48650900796506,42.09837389756481,44.5715681765759,47.5468633706722,49.00371571549343,51.59713584643164,51.132901278316496,53.98215266247356,52.862872879357155,54.84826557329079,51.733988190582885,47.32896486491243,50.78039529768421,50.89267890241525,46.19488525480438,45.60906162930409,47.38649760378779,43.97670149402367,40.86305104269809,41.854342906169094,41.64458222465863,47.02747437412054,49.68786931769608,50.283726455830525,54.22983265738708,57.40833154827394,56.47850574771508,51.65673837289163,53.669080378461416,56.159482451885,52.030226180355,49.47611890738018,52.74602659376783,52.1061889783695,47.929903595056544,50.783890601914315,52.51116051839934,49.074068278989984,47.53731099719182,50.39836180513668,47.99818768467944,50.673831319486524,50.23365845163841,51.689754978896154,49.048457453275006,44.73580039760859,46.95613988791144,45.846032812150256,42.78038673902235,41.543096384611566,44.50939728784719,41.33656968626688,37.24431390780444,38.975542030118646,40.54979618428025,36.91321275295243,34.04237953113443,31.433578114265647,29.88839740645011,26.765137913402338,30.587687761922886,28.92051844519336,32.90599995021371,33.23644727622845,28.369102658106257,29.027220492903172,27.725834545376063,30.160077997282187,34.63430218759425,35.46817722634945,39.17862304816812,38.47385155072954,39.5227184612632,45.06751675318035,47.102527987951376,49.01262679964875,43.730486151196814,43.78671915891349,47.3636938000781,45.30629235271526,41.33699132005924,44.58880205146231,48.083766404182796,48.996320533172366,51.455448764729184,53.76050853273716],[32.219195437744695,30.451008323526654,30.713992384359344,27.50505644330464,29.6962780253693,33.8714593543997,35.22422072447797,39.817967595179276,39.776123582780194,39.588902659887104,42.76482550299826,46.102136779400084,43.60754505295122,41.478359461486995,46.41627428033302,47.44210836887456,43.729064313159206,46.84056065202969,46.28481075437164,48.63153161545236,50.0484789567514,52.82083265698121,52.133641271744,49.661564964254175,47.8937258495196,45.362077463384125,44.95742730915114,42.884050016479705,46.13150119663755,47.89906653696213,51.93624503624231,52.34476980460614,56.46485762429907,58.918279933267065,55.74477141696101,52.5243029777871,52.01581110168601,49.58405225515551,47.5918305225475,52.31656723156631,47.76566990035416,49.9830391701534,53.90171895363546,51.69170291566473,51.680046335998895,48.71885721553633,52.305056714782985,53.8231792792159,49.14445268089706,51.14487931789652,55.163892930212384,54.29810148490081,59.223333253933454,55.285773142862595,61.71939875626584,62.46040724315494,58.38734336633003,59.99478259718764,64.3149997971227,61.844173364115356,58.89664376672495,61.79510449686148,61.29838240610946,61.48318572865473,58.24470651949624,55.856302574271375,52.962156185800694,52.118905657274794,48.84104869705708,48.725640376920246,46.797903986754164,48.91161023700674,51.89586562241239,53.793480221821895,54.67586247660454,60.58187554597883,58.63951355928022,62.54880166372951,60.55960961592794,60.20855890427944,59.38675747816425,57.43875319859365,56.28863833023581,55.03917991935057,51.100932764448274,51.84174302891106,53.66377030000466,56.55481863702504,55.401514843379445,60.310439348755494,57.903182232164546,61.089915794742566,58.598037702066634,57.669707209238396,53.20113094775819,54.231421122173444,50.09108466675323,53.021813244046115,50.97215786647868,53.35180852895214,53.146432917007964,52.03523721008086,52.04513546747433,49.59542930608237,50.23693157103461,45.1447526911499,46.73902657356844,43.62289286557766,40.31852010327607,42.789101936869365,38.871453507349045,39.14887911053539,37.98903611753671,36.30014117435156,37.955765285405356,35.511531260665365,38.55049514201817,35.83096766968321,40.79134278565627,42.26529687423911,39.25930939548916,38.20387459642419,33.59764245173995,33.417605916585345,33.59955064438525,32.4211322092652,34.500142402541464,34.85758473441953,36.12401093003077,40.25839827823909,36.469202013099675,40.48244054218297,39.889315945041815,43.58399416422535,38.17134826388879,35.999411380172326,31.134945577257692,31.239686987818978,29.950103065102212,33.57598318972638,32.411927722881124,36.66854580731133,38.56088434086163,37.620599891993,41.60973143680664,42.60932045727894,39.845742259785915,41.699519217818775,41.919169398338354,41.42656778048572,43.303364060273935,44.82876358331783,49.07742979345103,50.07931801988011,50.98699429260116,50.54999888642007,47.801920436762046,47.34490509858053,47.133520624492654,44.86529709228901,41.8502779257829,44.83592604725392,39.78548252240762,44.087817705022786,41.25724805038543,35.66695864031697,37.71015274367597,35.900467868717655,33.17039220502975,31.835921524136413,34.261082758559375,35.22153376255002,40.454619746325925,43.55847866131856,46.57239908294714,49.27294068311633,49.40537250146715,54.07909722219255,51.34993074474917,51.704097700199846,47.49242707146253,45.58484862955052,46.62986659911447,47.19787919009007,44.80286355759836,48.412342675646414,49.118090285382635,50.488111374828314,46.50730343258841,46.46481963114895,44.314118996937594,43.845620690753286,41.21836113246947,39.544694149101204,40.035007710627255,39.27316643136696,35.87510313770534,37.95575492540088,35.61112034653106,37.78244206834493,39.168943153922804,40.81268492526492,37.40379661205238,35.05202695502556,38.751313876750466,37.332572089086774,31.381161413601134,34.611373835629095,39.4335837133369,34.452737607875456,32.77459572183933,36.201171818018004,36.6285618630261,32.0853152807089,32.85771808232552,30.477959813448525,36.01297617239268,30.72191467135059,33.80594653938398,37.57401683800378,40.402270598669546,43.6925711778169,45.0619931130807,47.26890357971643,46.691860685762094,49.42900719800809,47.99306375083402,50.2931935360756,47.44469210110886,42.671029185843324,46.10357357637221,46.71492881769704,41.977085668859736,41.05752877671494,42.996179240016865,40.05359904772574,36.64150019766039,37.257886970071176,36.75846502833593,41.88415362949129,44.68264097656044,45.16192663696719,48.93961319375372,52.118952101864885,50.9360348126284,46.17307749853409,48.27676023548766,50.54625987751739,46.287458110587146,43.9061879384925,47.16552160307806,46.39396671278355,42.29151639665179,45.416240440315924,47.06938601940872,43.52909371357723,42.2731412582688,45.3258907794482,42.98002970984907,45.67095183451191,45.06948629343833,46.836005306912675,44.354715076878556,39.723962694787026,42.10603922716892,41.368883801487236,38.205871051583884,36.76842302403437,40.261114495586256,37.37332074908506,32.82361328556191,34.626646296946284,36.84496182290806,33.33624980932936,30.087125801340456,26.96229502990264,26.304420236355664,22.74126172157226,26.51945933950951,24.02650551757197,27.73517657125857,27.629778575906904,22.84478350806803,23.55149073188219,22.669203716114964,24.98602863539172,29.445485416016346,29.760402678528227,33.54709601587976,32.50927737418554,33.550046338513404,39.08390811996606,41.18483676323573,42.939457423468525,37.61339734833378,37.814652235243436,41.334321438278344,39.1141333351449,35.24994463169959,38.65453442004003,42.07957615062807,42.99901490269156,45.53487372643647,47.85364065909013],[32.08822902275334,30.82377176645707,31.84510816871182,28.717842669409286,31.758759427404563,35.237730144580645,36.94742798225149,41.53176249081289,41.199564261301035,41.32674836412865,44.33866456622453,47.680335326430786,45.678598879005314,43.317709576224225,48.337376022829325,49.61568395785615,46.16458273983558,49.404763313680974,49.07049174058231,51.65476760998186,53.179795121038744,56.198206730715086,55.52692520036076,53.19598316539044,51.408202453672565,48.63023304617577,48.2263363586487,45.89090954950202,48.926078070164024,50.50535213895203,54.235771175897725,54.696644867289336,58.670413921046276,61.3259140656925,58.357791798898084,55.282457020697784,54.8314630752016,52.74209104679961,50.95902220202993,55.941214583599006,51.45575208668792,53.46982266982251,57.51365729208965,55.5062741690826,55.59850722946998,52.78778323365471,56.46937116550823,57.86307425230074,53.1920208819697,55.43030172354385,59.37227418689552,58.32514020582236,63.19279346485711,59.0784899539889,65.47432602801823,66.3025552202367,62.15353398955881,63.53296246030566,67.91830771060154,65.59457755387619,62.423250457047246,65.0833923959751,64.37260416540242,64.59327367993905,61.526835370275066,59.02726675664552,55.85992170246109,54.82353494256372,51.348353726236006,50.93542953940316,48.955016795581855,50.87493707347617,53.9899500866275,56.20898326315032,57.10952747074816,63.109877712724526,61.46781423720527,65.2958375083842,63.52053701227701,63.43729843607886,62.567975056890184,60.87000197986543,59.50833993318312,58.49857051924707,54.65781127012225,55.132751338369914,56.92393628537101,59.55332340258862,58.35978854072074,63.01423472756217,60.447998455188305,63.454787957878835,60.7812061980796,59.732987473299694,55.195152408323594,55.929132040131925,51.72897819888058,54.89935869388335,52.79139785377799,55.011226959562585,55.31541451495432,54.22638500196192,54.62900240073397,52.16981436477053,53.21086475646445,47.982859917220615,49.59919726432562,46.662363099285976,43.096178780851474,45.38369396335768,41.26847890594208,41.80499102186486,40.292906530377834,38.957695526798396,40.39807121606538,38.20210893513711,41.31763919572001,38.816014744523656,43.64167365222615,44.843565860432655,41.65906424243438,40.44623462123103,36.00501292083618,35.73967832059206,35.71029334982415,35.06327617982547,36.759965803101856,37.62581778609108,39.017328319445795,43.3953326536207,39.778735430487295,43.866159912250474,43.57563902906019,47.07436395803188,41.77067587460043,39.36617950398684,34.56962151040962,34.65047918664562,33.291846996560835,36.980364106237545,36.0277057921049,40.37246817997115,41.93856058603709,40.9437326736039,45.02344566490235,45.72359382301511,42.85933528950332,44.427459079385244,44.57930877692987,43.66128942141919,45.44435295478772,46.527465789143406,50.78746529168181,51.254002026604084,52.36776685196295,52.32263438510138,49.779966396991284,49.550625239651175,49.55447339909126,47.571503201450234,44.945710915297056,47.97063165740417,43.18938138209933,47.63960003941464,45.0979214857697,39.658960818070845,41.79255930869729,40.23345226568015,37.37973519968266,35.867532588066226,38.14270694306612,38.891317936004455,44.11311591945629,47.043665921277174,49.89553044494299,52.39211779765093,52.30975416419383,57.11139677872348,54.67880032431467,55.04718890580366,51.11381184929273,48.89648337743965,50.310812058177284,51.09730221321864,48.69406648031934,52.40115903193329,52.97641336025267,54.61625874192269,50.75927462340601,50.76966948961913,48.72221205557327,48.04713463973921,45.43299594079446,43.620142745228115,44.008424674598885,43.14594577520083,39.51576173104659,41.35047947931665,38.678006336220115,40.615565427238835,41.72831677493475,43.125753605400845,39.765279277277386,37.30285587608003,40.69101433032021,39.06349507987626,33.16709180370954,36.16155054854083,40.68784860160816,35.51988965270944,33.67737664985887,36.8401270931737,37.13704480502885,32.435381353024916,32.98410625869271,31.005145958394603,36.31236381710017,31.589848563019554,34.961925095906736,38.47827740936554,41.609038023110934,44.453150338106134,46.38408438254381,48.73786868682341,48.5362150684082,51.49034723380851,50.242968574930316,52.77843506316402,49.762126479610984,45.141283295705,48.81823607895555,49.50260763450933,44.75227381945636,44.013697811227935,46.25070726579869,43.217785017395755,39.626143080759086,40.6794360302352,39.687315818038584,44.91084590159126,47.58596916458014,47.65070983292652,51.42162847332075,54.29113491245944,53.22881972583884,48.50119551246403,50.15216227235213,52.36203948602256,48.20593856818628,45.602162553143096,48.50822647402253,47.59116757530425,43.46755451021739,46.47308972206244,47.84077144417577,44.11212333220294,42.90068582653415,45.95027618595382,43.86779233686771,46.871789317101594,46.66409471761365,48.51226703542577,45.64264149931355,41.20824984898695,44.03063019800714,43.07894193625686,39.76116537508385,38.86136707040103,42.42999946528827,39.16165634419222,34.786102988415195,37.1253754677346,39.16240780776787,35.325166673749166,32.20512665634349,28.91359135200743,28.142003523298083,24.288944680844974,27.492700769535936,25.155759421323,29.10976445004596,28.764023533141305,24.05806055461985,25.395014816728732,24.877914595016737,27.603097234381973,31.864208898878207,32.28121702342965,36.30971265670338,35.10876051133978,35.57288067075332,41.10031661266451,42.8846554440189,44.67137878918564,39.34526396604005,39.07348096288735,42.41876981398062,40.49425667730883,36.20013596910267,39.252892561968295,42.644819130626836,43.66178375467491,46.16100007020512,48.47457216738244],[34.04578382735203,32.77082865314181,33.65246421798949,31.249159992902445,34.03544398855433,37.98013067884658,39.92323247760446,44.45601592971456,44.57684042261941,44.93664368456652,48.107305541158574,51.248916061208696,49.21907748373619,47.196194411471865,52.23759799464982,53.31274427294134,49.85125677975969,53.18973621178064,52.92187648765533,55.24017271408697,56.82251693268934,59.612847400405386,59.027962631737836,56.57431858453285,54.72009932752784,52.170483465516284,51.589131482955835,49.36751625747454,52.431960678088096,53.91704523470241,58.0320941787601,58.15680862943949,62.24337693185658,64.95497104678307,61.8148065479703,58.781911114070724,58.03729783070151,55.93670668915008,53.962561030784386,58.62258975063404,54.296814883760426,56.642808164480364,60.552647473335206,58.36166623361511,58.45609196767615,55.452618812595865,59.00381742239362,60.46821731826673,55.671778745250485,57.5376500234135,61.483816228237735,60.692227008857664,65.62924210206299,61.6721067528847,68.03804461128283,68.984280711545,64.98916657508448,66.49959426742689,70.90075747712861,68.55775996101475,65.64305565044688,68.5146444907331,67.92686222187129,68.27693125504908,65.0550634891426,62.53945536817557,59.69730403214406,58.676715667729695,55.428309913067395,55.07931594958241,53.22187426192705,55.31681617460918,58.27828973668314,60.38359284577367,61.117643870688475,67.09198983747339,65.1856328745316,68.97871631470177,66.98926597486033,66.700624050572,65.65228693780539,63.660473254241275,62.21124067237494,60.93815174783008,57.14822500846147,57.955314102018946,60.00797380713147,62.67137790133624,61.788814209875184,66.54928788237525,64.20582667348789,67.40825738322374,64.75748977447549,63.623126450703616,59.06346641089523,59.95456464945559,55.72497141392834,58.571202323566965,56.29879011681221,58.2468477533917,58.509227422967776,56.995892772595134,57.445657507767436,54.59614333278115,55.28900536330943,50.00218218278738,51.1962282478427,48.018732236634875,44.51213295627705,47.13721330052962,43.29360232050634,44.209421809997735,43.118269743408014,41.893355690906205,43.802407070943886,41.650959979866336,44.91766556474824,42.44483782831653,47.51108076679345,48.72598618357966,45.668521047304964,44.36609319456202,39.842768796360104,39.360468252725454,39.09962420613347,37.961442690639075,39.27414644597052,39.88623389311501,40.84781049349781,45.148134721695016,41.082012015409006,44.884103100328964,44.75826562182809,48.54455303771545,43.42703852326681,41.46339924014204,36.33182324431617,37.0407536256426,36.12551616462589,39.88542446027562,39.129221628456634,43.43487911563117,45.269357199804176,44.13329208230727,48.07853115154004,48.88648858520768,46.01301785165575,47.552235529676075,47.44089309229901,46.66493101087501,48.09892901823317,49.457656583721885,53.446592216551856,54.09090653607109,55.47125114108932,55.313061115114955,52.890062624281384,52.313809967825925,52.56198290127165,50.11675501328903,47.488119015961544,50.834135557047986,45.94814915995259,50.26049621977484,47.38562830994677,41.91280880120741,43.56887170889017,41.730770033493584,38.72180139838988,37.72896711808935,39.944066218431864,41.15419341096193,46.3073748974055,49.32047302529548,52.35489485940649,54.8212528820837,55.11647317247967,59.67175989582238,57.15686556868057,57.267577925035006,53.22759942562878,50.910730677224,51.939572564483356,52.554499970725026,50.41780105557726,54.35029964334687,55.33043954568566,56.636337928450054,52.86658784966174,52.488916977642816,50.13400429032951,49.66023398665759,46.67325334731833,44.753443591928864,44.873069986780244,43.62438333875566,40.238887385365466,41.81575064974046,39.067045223921745,41.44743761969214,42.04928618298531,43.87919977431314,40.82092615810894,37.805397784958764,41.06872049191978,39.998312503406915,33.995071612999745,36.471865347319024,41.251741886217616,36.56998350654714,34.32743987234828,37.28001845982781,38.193765377735616,33.56780015959069,33.411616093932814,31.248228205586702,36.14697857779348,30.798084214414917,34.491994871739465,37.85537526862675,40.49447964258511,43.06555859178057,44.99323935505478,47.76592202001563,47.68096016448238,50.771998660613086,49.94448488449869,52.13172253815572,48.777890026581325,44.61684615356618,48.38419269898745,48.52573716813746,43.81457420646691,43.51806458197772,45.72653215283673,42.1445891892132,38.77270584219959,40.49372556277631,39.59802301733154,45.24404522799297,47.65414423195413,47.74651060336685,51.77105463312134,54.58151441004943,53.957297131180084,49.13147753697312,50.587278582277364,53.17655852424814,49.272025481018666,46.35172199771626,49.329714902686845,48.70964533121826,44.454648238948316,47.003122349850074,48.60316637907669,45.17828449671193,43.4337862092971,46.165752336671794,43.90945038980619,46.800035090470146,46.763807260131685,48.17043377949899,45.13865881086657,41.11136074175059,43.68622373740433,42.27300650686933,39.08698377731502,38.43531533795513,41.3866358892525,37.79783564127671,33.93630794877213,36.26054746221692,37.60637223152561,33.60570990915671,30.871507945251587,28.140185706363333,26.43899515180616,23.05572917212788,26.35358880074717,25.04731833493432,29.31189524464668,29.77709841921222,24.94178888663323,26.03553051296545,24.8811981440464,27.81868913507119,32.04848425000662,33.35991210181143,37.33216913455779,36.83047442694224,37.158939931919925,42.7163001482629,44.35074273773224,46.552464144793504,41.36078576759925,40.79534659323388,44.399635545600326,42.920834801047214,38.46206597042252,41.30780940377401,44.97722676099485,45.98926055017496,48.3722592756852,50.62555349670213],[31.389079474250433,29.715803307433323,30.043515835338766,27.70379361415061,29.952297086079376,34.37595516709788,36.18324149888584,40.69721867002025,41.124267480643425,41.42864407711183,44.748210564503054,47.784346658487465,45.528458405730106,43.79271303921116,48.807178415572096,49.66759106404719,46.14097695366393,49.52834210129286,49.34098705345365,51.4187728705498,53.10318329966181,55.742704810812164,55.307541832148765,52.85427187016624,50.84082134297594,48.40546590390815,47.62880375762403,45.46204906223825,48.54012470479241,49.98898572172946,54.40917503296494,54.31375113243101,58.50325478477013,61.18480510367684,57.89825511046409,54.875463084318774,53.94844944822624,51.81782658187358,49.73833014683126,54.23870852632253,50.04317784648991,52.5745180128125,56.41938275979886,54.18509933198175,54.39828594101707,51.368124946871006,54.908250963531785,56.25719108121091,51.35274229688666,53.17028712181272,57.03691009640595,56.27235166867992,61.22163288343134,57.280355683850225,63.61537688151678,64.67478247585551,60.760038680789634,62.27242694772734,66.70322381085722,64.43735834042374,61.63436210063215,64.60116801522689,64.06444701159134,64.57709710428202,61.261279528730334,58.673452544679925,56.11576390838688,55.06701485445983,52.06487536275952,51.778920613672234,50.07272334429501,52.40036290049503,55.14281248286469,57.12220961917005,57.65247687687917,63.595908000304085,61.44239948422457,65.1944609541522,63.04001550952392,62.62056753571213,61.45233180783787,59.3060602184267,57.82728580149457,56.428281892957294,52.66487922435167,53.62188527129251,55.81508559877602,58.50299694543256,57.817724636214116,62.66022534108832,60.501056114584756,63.883929888939825,61.28618664862094,60.1216023759512,55.57529357470059,56.67957534913088,52.45962909374159,55.01059978837592,52.685620418606774,54.60266236642015,54.609225747928804,52.947450491002506,53.25403602105487,50.29870017107247,50.77828333993152,45.523104849358745,46.64499003175635,43.38006714471849,39.97180891082921,42.71016859004477,38.99244275388232,39.884296545356634,39.05334930905362,37.75112793819071,39.93680937420463,37.765600638843246,41.11979516140265,38.70056108604779,43.98306480164401,45.16752784491187,42.2465740167556,40.88770227898258,36.291025994318915,35.671300312255504,35.350876935226175,33.820368131195316,35.1452543566217,35.49430949843991,36.32015805959427,40.53024289210948,36.35815409980464,40.122865697528276,39.95547856884095,43.80378458933959,38.703239681098914,36.87517099155786,31.65972191464383,32.55457726949242,31.852833502833683,35.640309423317056,35.10257950223085,39.44001669680224,41.3391437599202,40.05793565020145,43.90784963004216,44.76069765225607,41.89378048638035,43.45900417930518,43.254732812138485,42.68353592264086,44.04860132638474,45.702732566860774,49.615359017573496,50.61900390613156,51.94180241418872,51.53282968613648,49.04916416682925,48.26077734018515,48.501701661969584,45.8080678091419,43.07654041290377,46.54143067115991,41.60204341007439,45.84484666257002,42.859674349329254,37.42720840351038,38.90819683865357,37.09089896181042,33.98401054006049,33.0916607857256,35.25493901244564,36.603553386584146,41.723948641948546,44.7643709128711,47.87236148198234,50.36019207594485,50.83368342821882,55.26778445698362,52.67555839898155,52.70342777775407,48.609009149020295,46.30138771743355,47.19961085061401,47.781559700271465,45.70136762099473,49.715248494485714,50.83199661333967,52.082787086167194,48.4558803592936,47.90841424942443,45.515146036441756,44.98462085064563,41.91426651058187,39.94760002881268,40.03583256819594,38.78442554637893,35.41343969045306,37.045645887886316,34.394325935317916,36.85622336403929,37.59846568131273,39.53394998594319,36.44640760413222,33.48894952659565,36.94178841450145,35.971853137913996,29.923599650469306,32.57837359244054,37.54996752550842,32.97257674175587,30.855151337275196,34.02756102622723,35.01147500615675,30.502566970006168,30.564874343480355,28.08528949612912,33.23680583858178,27.530387350965405,30.962701536534045,34.5548864766232,37.0968353644448,40.081534464459985,41.60388718737017,44.17148174544638,43.818099509476994,46.75423115354889,45.73980107532337,47.873638839565274,44.67765762600281,40.32632775684931,43.971220525416626,44.20352496276582,39.47487896749576,39.005237516764495,41.12595424039883,37.6982152729897,34.31418876559651,35.77828133625462,35.02190590382584,40.601201441355926,43.085023230161504,43.361968344257924,47.3722406452906,50.356793463483015,49.635788463179146,44.78865212911024,46.51081014761157,49.11946472037483,45.14658415836916,42.36072323337378,45.56831631555149,45.03882222390933,40.794195859845075,43.452252757322135,45.24777188470305,41.950183988202205,40.19538909894357,42.96626433419282,40.527167228747174,43.21274939250179,42.88812382390499,44.30971302742525,41.558632199553855,37.31968816266578,39.66276411111747,38.465697717265144,35.340825948434514,34.30960691523136,37.35997861549557,34.07129236286179,29.95089989692267,32.00133415531173,33.64645420269719,29.85813613339967,26.90437778446026,24.10942166579834,22.725886218928686,19.349891590428832,23.06684617810168,21.433664604246996,25.51712877740537,26.118877284011084,21.215311453194026,21.908203212787104,20.566696855886388,23.304898010671035,27.646403108911247,28.899950046232384,32.76940929499066,32.3994173423474,32.98817250601001,38.5528485447775,40.3569935883901,42.57624067326264,37.40304882788487,37.09678423883315,40.84233611008082,39.2386320498249,35.03182720098619,38.09734727119005,41.832734091512584,42.772422225699636,45.171953672092265,47.43492972799325],[28.094778820030594,26.630904812438192,27.40027900228847,24.85079386744032,27.71999236860104,31.58248283452931,33.567831297742025,38.09419666999074,38.27517217596498,38.7759302055642,41.99221370364355,45.03140181661752,43.12005042429495,41.23718733897602,46.321484287554654,47.355049441273486,44.050274299035564,47.586682465627824,47.67917625497742,49.92629989392297,51.793006665776375,54.6766755368124,54.345425561921424,52.08703130080759,49.94579873516456,47.236386307783626,46.370535472834746,43.9103270986725,46.76665323447363,48.0255435582095,52.221325228307734,52.13561662960239,56.21385256145625,59.070701224483315,55.950167173734975,53.06859839168458,52.17547038334273,50.39206985028822,48.53268654567575,53.33770856584559,49.23853045848396,51.559253802688666,55.55292561618812,53.58304003245557,54.00647286795403,51.19760557454079,54.902077565207215,55.991122408032204,51.05419069073277,53.27050034511834,56.99056259029774,55.92932255079963,60.79787269092614,56.60068041308273,62.88840990869186,64.08498121212028,60.07978522385651,61.28861104111567,65.81592774333507,63.77992785068866,60.710801908805465,63.410792698057406,62.63167926040027,63.26704067962586,60.11857788303079,57.350736331937796,54.59616967667765,53.306538146368695,50.20480630548529,49.62677474892168,47.942698817157165,50.207065377948474,52.96119869987342,55.223929679805984,55.666145232502664,61.705095709754275,59.77148685368957,63.42172287578688,61.44601045672646,61.294228762366885,60.050622619501304,58.17724093793858,56.47990150572801,55.35934150636482,51.69427191611639,52.333155060711746,54.49668544036191,56.91041169059293,56.21012419310794,60.809949638005705,58.53741053414647,61.80543232027586,59.04244754158993,57.75418096683071,53.144703196168216,54.05190310002225,49.779972258987286,52.47190597097439,50.10277073657554,51.937170948490866,52.30005056838451,50.718997662563105,51.315238442767665,48.43340868576843,49.33693678060279,43.983152022326024,45.27773263446692,42.259368902647715,38.611972775191774,41.071826557969025,37.10132239719971,38.076400460147006,36.876733717004335,35.83787985331972,37.820154983715234,35.8718156084634,39.33107614212128,37.16965667819203,42.41290312905728,43.27569136040616,40.21952937245332,38.673426250001526,34.20445822731067,33.46289515758836,32.96226532634602,31.891567124247064,32.99724836954854,33.811626958520385,34.88381170616055,39.33345483666577,35.49918159832957,39.46310625741731,39.51073088547558,43.04037477457215,37.97756319851654,35.77477293234606,30.73160703846984,31.423893955144216,30.59568790214103,34.45698224582115,34.23146374614915,38.723671073781375,40.2155879517862,38.81295114235551,42.75750376841098,43.276464113559285,40.300975449690874,41.59724720028893,41.35971061828174,40.430827963868495,41.79729596426669,43.097797725520174,47.08551088468284,47.73139671239063,49.12059495322257,48.97467593619999,46.606283088548466,46.03830909883694,46.39921720912111,44.013772695903064,41.618284889720705,45.081668682303274,40.426084867257245,44.84946998554211,42.24281238557648,37.011520932036895,38.69899805479998,37.31673797014975,34.084174924209556,32.79429003961359,34.788250933720605,35.7801169350648,40.90561683478236,43.7440571667803,46.653447458266676,48.954032557589244,49.166901769984044,53.761051003269905,51.46379870890628,51.55893398961359,47.77195482934739,45.177981643127275,46.567354804296016,47.44812710079939,45.269446437586325,49.34733711212826,50.239070798215685,51.90386295251149,48.477781325072314,48.04234575157328,45.88435148641348,44.98101468814877,42.05191049896627,39.95435443041979,40.04945241090393,38.899077476857784,35.159382409766835,36.69719773556377,33.806718283034066,35.82257972165337,36.638230085243904,38.15056158165374,34.940633602303336,32.201356168482334,35.51146147702632,34.10173699949772,28.13609269581033,30.93699635959661,35.59239778981234,30.64495337638509,28.641404625069587,31.802517863340153,32.4008596857626,27.761363392199772,28.092473070734346,25.901073063854135,31.20515020854536,26.210236129236296,29.57964011745444,33.13080481980265,36.18832185271934,39.114063518548015,40.94997831320024,43.305265471635934,43.10738899968241,46.08491446076693,44.926116824830075,47.454777581395575,44.38156255028077,39.83189242995505,43.59339201672078,44.26761735287581,39.51806314442982,38.88085509721078,41.27979790189458,38.19172776319444,34.49730602156419,35.86945863830711,34.61591465925872,40.00072937544175,42.53510694032473,42.478014716672284,46.331404576693025,49.1330224656401,48.25415719315341,43.483025486275785,45.00788758513263,47.37668770655039,43.340717259622096,40.57134356820621,43.535239562638615,42.77679810698316,38.57681957619349,41.41162522461464,42.93841598311724,39.39077435487977,37.92653433786181,40.8778469024292,38.67221393592327,41.598495530425076,41.40168527764105,43.14681260432082,40.26822106459484,35.88682534583146,38.66694799072452,37.644491574596245,34.3351131064776,33.49313448196339,37.025911288385785,33.73297726737787,29.361348795969132,31.810513657633873,33.852115626535856,29.98112385391406,26.82729808795381,23.488960018408438,22.801966116368916,18.86155145313937,22.086899832628493,19.795901857842182,23.82744635528941,23.82206746136574,19.013407848085134,20.25677520363789,19.599517774932597,22.49922869423536,26.68379229228172,27.497544205509826,31.583583460679847,30.765462434698513,30.995209697615014,36.55249373606122,38.22171031350522,40.296080175426006,35.06139756385251,34.58463646098225,38.14822314441611,36.55657015764471,32.145235424528316,35.117965773688454,38.7593698621495,39.76908156788833,42.21495460649339,44.50510053061021],[28.900020064435004,27.917612552449516,29.292022184100666,27.19660471710842,30.61766462641302,34.02528792337931,36.38075670990734,40.823888066312,40.957053387658725,41.80742885166155,44.929569661863965,47.864204898162555,46.355154659784354,44.43929975524587,49.565704370956475,50.710587893558525,47.62797406689946,51.28539085001413,51.57262752155678,53.893006868121134,55.85832337027461,58.8364145387248,58.55138226296995,56.356611736405554,54.18040744999087,51.378795254553644,50.451863620654514,47.84755183676031,50.53964400273249,51.60662503241306,55.69423805356816,55.51129419931863,59.498525038037805,62.53341975604014,59.51828461144343,56.78155706805639,55.81968339546681,54.310017279719204,52.54611261544201,57.40944159117241,53.43389354876125,55.71945437333328,59.746914414117114,57.86751684244382,58.36866376142327,55.603725789537144,59.329298333736325,60.3479957630585,55.378020843825155,57.63013396835551,61.286989540972655,60.18625674379267,65.02741198366934,60.76175000494382,66.99112642469113,68.30407608805214,64.30726480328293,65.38323962162536,69.96017791434114,68.03934370322828,64.90080418352554,67.49251410828377,66.59258535021453,67.31038229566379,64.24010637361808,61.382002586768216,58.55132565265405,57.12124523406278,53.965001746388374,53.1828638495726,51.51364529919955,53.68945400207877,56.47204371733131,58.93525166774539,59.322145608933155,65.40829181491952,63.60993061776485,67.1706581390356,65.28277247774355,65.26277010545161,63.91010484451961,62.12424897500562,60.22563908984433,59.19874348455901,55.64351479595954,56.20096310831718,58.43660107394492,60.64630956584113,60.043050272503606,64.46930491348645,62.16817034256622,65.3646316966218,62.47151935015963,61.052952347773875,56.39693940298909,57.12630200244891,52.81401011812656,55.54845297894347,53.07347769660012,54.645200979112815,55.41237025469283,53.67797776268467,54.615597269874705,51.58062538729459,52.66457921825847,47.21216652283668,48.341289076369534,45.39973591350127,41.59300240571385,44.01570099207595,40.0339443334426,41.36529037628905,40.06420472152426,39.35910531116944,41.336469957536444,39.611841633256105,43.157848514355,41.17640512550893,46.38252682594175,47.04019853547798,43.91409285895731,42.2256417798848,37.88581823116385,37.00979878163366,36.26383463937391,35.432277337357085,36.06946557798035,37.180184690706966,38.16913815443629,42.73807994423111,38.90235269349723,42.7733495135894,43.12649731086909,46.58569483986316,41.72049991433608,39.526342994000785,34.46470387705817,35.35898229917928,34.64120852856607,38.53822006184335,38.5177419184482,43.029129929068375,44.38492702239103,42.90511434775167,46.84901876744045,47.18179263935249,44.14316792400144,45.19965124389519,44.80526459483389,43.59966654162029,44.73190677611876,45.76841149491291,49.61613069151617,49.88175381363646,51.5526554575799,51.68940687642085,49.56040337039753,49.038104677402835,49.6746014977937,47.348053113087204,45.28119332688828,48.8775077676471,44.41581323900934,48.87508955127414,46.37481736134183,41.26442802785444,42.840895616615946,41.54153023507002,38.19108278954226,36.969054083388755,38.82238768179845,39.81851505373625,44.87491580645069,47.5939748393807,50.43106184720026,52.54399566200348,52.735070513728,57.308558767626394,55.229626390641975,55.23235049997929,51.643250983164386,48.77967944926109,50.303319506085565,51.28524565633588,49.2128336815987,53.4353487665679,54.37646058200543,56.116420334244395,52.82273103458423,52.28637908768765,50.09735416673933,49.12020786272775,46.075094801588314,43.84680153545476,43.76162106149539,42.3914320499397,38.60104938390326,39.823893591419925,36.66505521741059,38.64073927038462,39.0007651562215,40.46350664911402,37.461055848536866,34.430017774716426,37.36687569767758,36.03037505484846,30.162149016848193,32.47555422740729,36.91104033427809,32.077709833161094,29.77057292337609,32.54408148984306,33.29809727272945,28.61275021416712,28.39063675804853,26.532909239555956,31.358850308357248,26.694884832610136,30.429920727935308,33.63135468871887,36.73108528031615,39.10033841742275,41.44655416158215,44.09452109725926,44.28535693365102,47.49190416476056,46.68295868399628,49.26214233142325,45.922169833906565,41.73562288768021,45.71544623400194,46.230785454413535,41.5261637404675,41.23054670956085,43.853069010101294,40.49899346430789,36.777264911266876,38.76706679512709,37.15305459443496,42.73444477235406,45.03425459301447,44.62902087243501,48.550065746446336,51.0351564087821,50.45289888792774,45.70776779820323,46.739811246794176,49.2008669788752,45.393405862351514,42.31668983774601,44.97244483174537,44.22167515437148,39.982179153974066,42.48163494148197,43.84179168768848,40.28736462933677,38.6351810158709,41.41787788783969,39.39385202144625,42.534481072171616,42.76960445713556,44.38548043097369,41.10840633448949,37.12286849066366,40.16819224661311,38.76762123987695,35.40663972887837,35.17044656365455,38.475293224579204,34.73958914770729,30.803095146713847,33.6930341262974,35.26531571397001,31.081485304846804,28.25292200666826,25.072336453510204,23.908458492885902,20.0073548530787,22.598796061216806,21.000245245281015,25.293588214854047,25.434119606491194,20.790997642035055,22.45896142957131,21.87625291533665,25.124310783530596,29.021252514176105,30.28302016584898,34.47702164633835,33.822829178018296,33.50675548312074,38.99763937637873,40.312061197586154,42.57173845876442,37.451811576639166,36.44000708573309,39.927242573188074,38.80696595087024,34.004125478809335,36.53887940665049,40.2381007620595,41.336033784023236,43.68835783177715,45.91410789853465],[29.84550263028212,28.430602765334644,29.024713538469804,27.635563667423032,30.14849220861276,34.47193251417759,36.79209118065827,41.14978354104332,41.94236998260484,42.819257900456385,46.19312835319265,48.896724980852284,47.05511485155305,45.65827069609697,50.72728212067719,51.4949788194241,48.27841742759431,51.96579698408362,52.24817014797998,54.13159362382215,56.137408941832895,58.74324772603307,58.59416641969575,56.25002996148067,53.96429729680219,51.517633479876665,50.35884641569105,47.995600469299234,50.79073973825022,51.83337093256807,56.495666426218456,55.90818189991993,60.08548824138655,63.05669549113414,59.75228076802761,57.00667765716431,55.6886807099484,54.02356199940329,51.97140940559805,56.351859295219555,52.57485824942637,55.300789390781155,59.11527561194451,56.98829581637985,57.50630335875828,54.523409569611566,58.07370010537914,59.1384609784919,54.03005981881423,55.83423850572316,59.462649953774445,58.67038923098,63.57922500251578,59.54310757889285,65.72331121944151,67.15383861051737,63.374838179124545,64.65103570601944,69.2130798978903,67.26024997839195,64.49349085816394,67.39592705166176,66.71644677841576,67.5975329957319,64.29395118274655,61.447493898301744,59.139283239532794,57.79551122858776,55.02760065486564,54.45713734953945,52.97922680698284,55.46597703881507,57.97109569875169,60.14060861487803,60.294677852845886,66.28811062681562,64.03606505781309,67.57307243615618,65.34519566531299,64.97937515780289,63.44095585239623,61.2300411862845,59.33274492280443,57.9185699703264,54.4019704527421,55.42699891473327,57.95962067573511,60.30791097003615,60.081998408732275,64.72550877948687,62.771649463297834,66.278655790506,63.517098607879156,62.071059778501436,57.44973085477008,58.53106921232468,54.241619477823996,56.459088895076775,53.85679521838601,55.246263179850516,55.63246685201511,53.45405726066165,54.195637288093586,50.77644921714538,51.272594622156475,45.86147127706685,46.545090384809555,43.27575664143933,39.69500580760015,42.55358954117795,38.99637262206018,40.555968356475894,39.91368899375596,39.1334740026822,41.716841081071045,39.933454452161264,43.58680686233002,41.57986283105931,47.092452852166375,47.861195912510794,44.98908722144447,43.28368698801458,38.808064545894254,37.73810511818299,36.86620826955535,35.21764533520611,35.65894739645164,36.19609339310928,36.65694053322595,40.98161873537275,36.62899615479587,40.15125797344744,40.539760736379655,44.34952733167267,39.66597223655161,38.053490005413366,32.667490916027575,34.239716321620094,34.05951095517673,37.96357216674185,38.14021475498911,42.55715894143033,44.27873638016533,42.644260651328906,46.362573844670926,46.92260156061317,43.94011790027232,45.08893957827231,44.45001973221208,43.64964737856793,44.46904665906689,46.07595877418371,49.62054192379127,50.45279219401859,52.2296023896651,51.97498202117552,49.84416331591713,48.82103020903936,49.577898292238224,46.615149601408675,44.35665766636169,48.25985796630765,43.608446161396294,47.82439901766018,44.88636715657514,39.762859903367534,40.76834145318777,39.16176214419571,35.685356713171345,35.06874377076441,36.86111608479213,38.41178592681902,43.34725499939456,46.1970967202537,49.27822347555613,51.441215511023614,52.14133779644222,56.36411309097851,54.06676379256266,53.79019834353036,49.99231822752554,47.17081267808426,48.12901884537961,48.854437056424516,47.07463810826694,51.486393982747586,52.90169344289481,54.20753854378383,51.04602773677319,50.056366036017,47.54924291561888,46.799955638262446,43.383969809419675,41.087322326236944,40.75839959335814,39.05067518713427,35.60322048662761,36.667363942453235,33.60807357813429,36.14187909208836,36.163875812830426,38.20490611230073,35.48069499766476,31.981210367443328,35.00653804615393,34.37529646534044,28.388035716330055,30.345698614448352,35.25706579705674,31.074385739114526,28.518542218567926,31.300957395718843,32.766651708871976,28.3342539679974,27.62732763294092,25.221584136248314,29.84369862222771,24.04008573102624,27.8534104905185,31.136862441629614,33.541750657267556,36.070428164131485,37.958137645956384,40.85738373789148,40.86251730228525,44.040738064185824,43.46956076770578,45.58695999532638,42.0567792026581,38.16380934099414,42.07806325671682,42.073388567364795,37.39686510315023,37.3904037876224,39.830139805988786,36.04193381552606,32.595820878483515,34.98197446400283,33.7055907949699,39.62735240468603,41.74374999328913,41.61836666701056,45.778420780945375,48.41722910859934,48.16219957460121,43.30494300673443,44.46882849272847,47.33375550346568,43.69986264292894,40.48785269352608,43.47829509057484,43.127428506587606,38.791072400652155,40.94565010963622,42.75983730385929,39.668241564500114,37.47386611999986,39.955878827544055,37.543366736174264,40.31708990761839,40.399249011096636,41.54566911299567,38.42089546501192,34.649107883514446,37.13207094773679,35.46356629395121,32.329994092954344,31.92678339694012,34.62741307798885,30.852347100914248,27.231621269631237,29.76733482414037,30.852929988508524,26.71027310797542,24.107360947414858,21.55377570200022,19.565801253272106,16.27115326651658,19.474664574100256,18.806578480087556,23.21328443923936,24.39618122706945,19.61152828636813,20.513389782914693,18.992245169659952,22.199672497362386,26.1621809044022,28.276795000209056,32.23568690532316,32.405535732924434,32.31721456618851,37.80309804282215,39.18450887360307,41.822056165211315,36.87104393361639,35.923537582638495,39.77882024454354,38.88615858614095,34.28686695907194,36.87597289654277,40.848053554379746,41.84598269158552,44.10507725776256,46.27270286183014],[27.355234541211736,25.5634515777815,25.67352947858817,24.14796722889411,26.24773286341709,30.897104711155276,33.04669606885554,37.40726939784351,38.348425416497385,39.12289126237238,42.57840635929063,45.24105863933963,43.22190526141428,41.98334237787101,47.016503173013675,47.65820701326114,44.39848101018315,48.09992083649953,48.43939058535933,50.19167871365708,52.266480289077826,54.809776258134846,54.759687920166364,52.45312534133095,50.06131782994438,47.6507104981376,46.373177048164706,44.02180257643178,46.80844042599598,47.8385315667256,52.64801207816223,51.96757233152116,56.19754046955218,59.128701463403694,55.753318188213555,53.007741259334686,51.61668477087424,49.93803822635705,47.854455453497216,52.19338025847775,48.48910804548027,51.27397927016611,55.06849349522606,52.96472013210631,53.583978828065966,50.641751102907605,54.215676597693104,55.15876257581549,50.00078112344315,51.8727082781708,55.42592374677513,54.580436456646844,59.47437330693654,55.405636263722485,61.56619626337806,63.05898325250273,59.30252271892016,60.53863876074518,65.12212344814007,63.24078978785823,60.49271253260143,63.40693046159222,62.73425792811971,63.71238707744964,60.38029467861637,57.48125295923368,55.319781562523396,53.947916424631394,51.328416207364484,50.789202579838516,49.409533875596495,52.03368267533916,54.39231189446564,56.48580344383733,56.517523236995416,62.48179714728711,60.108080077903104,63.617660268990306,61.316810506512944,60.902153770551514,59.314516861685355,57.062088659776585,55.157077564994744,53.71732177709098,50.208269543774364,51.26225394150227,53.84267474539118,56.19674385456845,56.04968262314235,60.72700170900518,58.86284889823249,62.458432829470695,59.736219715367575,58.29006842326694,53.69059158516208,54.903342117873926,50.63733197746667,52.69451829278426,50.093846124881004,51.532529665498075,51.716838470054505,49.52851046956078,50.14018838527968,46.73289239385234,47.15185973489372,41.76645427442089,42.51403609952838,39.224975142347255,35.69039849031133,38.562760696908136,35.018737023628105,36.46794551191827,35.9368979192911,35.0718275159807,37.7794611518247,35.982982989368416,39.6740238626478,37.72881934235309,43.34692438976616,44.06998328969236,41.28810736479682,39.55263229725689,35.05603987670047,33.908687029596344,33.026539188111265,31.160610238252442,31.68773966719895,32.071037163884405,32.53012216125238,36.82722959271295,32.48994133029653,36.08714743857213,36.40566243382683,40.194311914088836,35.46043046230317,33.833698076144564,28.437261395787953,30.038671379181043,29.95298393940334,33.865850906687584,34.21914768660523,38.659328597292614,40.34663783550318,38.61921787038527,42.28573000468959,42.84152498012669,39.86451454478222,41.03140593531962,40.37468454138651,39.704615506899394,40.556535613409324,42.34413181751606,45.90674018667496,46.99515926805748,48.6498008666526,48.213594343140635,45.99526051670987,44.88536044563398,45.573281548941836,42.52266737534619,40.181834503672114,44.11064114465629,39.450730159745426,43.65001671582481,40.71786195058441,35.65232911866389,36.62860586502076,35.137817673037986,31.59663593546879,30.918203834274326,32.66442172447651,34.21003252985501,39.1376393929563,41.98545915607226,45.07984729671801,47.26679410415191,48.011485480656965,52.20799707766841,49.87071107189163,49.594581716974,45.7835644373366,42.9798066452303,43.94996099547666,44.706208152942764,42.89568285265179,47.32642683222857,48.74331357818913,50.10615367317031,47.05202815926404,46.02491258970273,43.576909006664735,42.70652288276701,39.31771703885405,36.99385057126598,36.705872020732855,35.10013277158377,31.554075993855317,32.74262508385185,29.759819792276595,32.243821519052794,32.55429355150191,34.56543486712109,31.698109182516028,28.39348695435361,31.66659685947136,30.940267077434655,24.881429947763102,27.20667123026382,32.25637855604289,27.978989940204507,25.655675627032466,28.74694105763286,30.078498114886575,25.706409285808327,25.45141771299471,22.78075579491119,27.83168930434721,21.873477742980967,25.33081194728452,28.917891131112068,31.420720302159484,34.4511416332551,35.952236188986056,38.52988182887031,38.24286466357604,41.24370257846804,40.3538244287472,42.55293197660952,39.267419503614875,35.006124138645966,38.80470562391279,39.07926302786632,34.339159813973886,34.0165176065998,36.404954298871026,32.93563508108857,29.36968834823512,31.309024050772663,30.103970651328957,35.87092190644321,38.15720549271882,38.18678804024928,42.27635524991241,45.10520023583035,44.61652669497095,39.74726603830768,41.22548042730288,43.99170094431803,40.19526357885882,37.19069816990317,40.383783778198044,40.01550364469751,35.71070312212526,38.13047849840406,40.0530106214948,36.96457334250069,34.93225937811748,37.570737682861854,35.03844177213151,37.67272349519326,37.42783113268665,38.7503132235229,35.92734350324933,31.788047691598617,34.15476563858519,32.848495590620516,29.704240419656546,28.841078185400224,31.88401876851211,28.494917150587995,24.39219897653901,26.698034019318673,28.341194316872826,24.446769011492233,21.445549593362088,18.55146116473834,17.261978461808035,13.698897392815175,17.382633795124658,15.930767947291821,20.11508685272181,21.18298803782242,16.296367274122357,16.875223573616772,15.340598856585485,18.373147151594154,22.52648252890267,24.33690921085117,28.267677941029618,28.35678889092419,28.532728539792288,34.05536446143717,35.64650937672896,38.18868584074411,33.18647788569099,32.55475374732758,36.486795542169986,35.34635329711168,30.99736313439811,33.86433105443911,37.82798181239668,38.78347088259841,41.113959623720774,43.30969324560653],[22.67264346005098,21.46525340684672,22.69565360730838,20.97841809372993,24.463696725827543,27.874020263087022,30.48088320735425,34.82199024082273,35.29489163705672,36.520747846564525,39.74448373456059,42.38333812618977,41.09031195956769,39.56888699107694,44.706061684212955,45.6882914168184,42.87342183107812,46.81595639873212,47.62542313635466,49.698136954516514,52.04668001521601,55.00870272012567,55.09456644201449,53.10945854678767,50.56338383803249,47.699685039620526,46.32176658968936,43.48219965475259,45.858811712152,46.538777428347856,50.88703453033836,50.23785837472712,54.233093298825814,57.488637843611805,54.44161553912821,51.96444253470575,50.65318707342211,49.60299825671107,47.92284054795094,52.76756775004364,49.22412523135943,51.61454846067843,55.64394695409442,53.985505583762304,54.90549069425489,52.3273455546816,56.13952642945743,56.70580347005771,51.54893645297127,54.037995470892035,57.364824315064226,56.053623368049315,60.79292130902692,56.32932003861641,62.386487912746745,64.078757825237,60.17840656766918,60.91349266733069,65.63192391376147,64.11336719984972,60.92665386972596,63.37528571608364,62.29023254422928,63.43675219798179,60.41307288625318,57.2434104650883,54.70939735100815,52.94083765299805,50.118318026892204,49.0606893787617,47.703222372244184,50.15410977354962,52.56291179129285,55.16254684365013,55.07982610030246,61.19144498007918,59.248762804679586,62.57498592852928,60.615948583773644,60.6802473809692,58.983421076676365,57.22197045249215,54.946540205535804,54.006277304947176,50.68614746014338,51.176541420660186,53.679378738070824,55.539966337249865,55.34959824667313,59.57101436242308,57.491370470307054,60.84451453221103,57.82721455207771,56.15894803453184,51.45617502693963,52.26719460240823,47.917028189123116,50.25101840271365,47.56257303031173,48.79031816133319,49.71509564305988,47.650667921083624,48.85151615605407,45.56189822893565,46.76402306710396,41.21758929088283,42.22782179465592,39.41222041538731,35.443541079441275,37.78669661470605,33.806163668314596,35.4889406524467,34.266389648182574,33.95889260007147,36.26417297106985,34.91088475409604,38.74569075581125,37.25680823723777,42.71544720799329,42.885760890735554,39.87115872970627,37.81952088767048,33.61535229954503,32.260895205573995,31.016893035282003,30.069599086370296,30.072904454396344,31.3799521350084,32.2560688864907,36.95933862941573,33.26296034193429,37.13914360760091,37.87068680968485,41.07029913448525,36.47794779385595,34.22412876102821,29.20938001063994,30.444651508553637,30.12916667296404,34.10735930039896,34.92938765356004,39.558351680319326,40.561372721813726,38.67708913293606,42.482503603015594,42.45610894768755,39.3124951791284,39.97108554808455,39.24077941108571,37.870272968363025,38.66152546908081,39.723899795643,43.37445318910996,43.691180775976285,45.554064830035095,45.67755521090344,43.736094062739184,43.04240992484031,44.003539321868594,41.53663490933228,39.86461449617892,43.76756798829553,39.651713450734775,44.12812701299346,41.8644759698058,37.171802533545616,38.49633451219749,37.69840837887966,34.03319338127214,32.7201659571688,34.17069530780354,35.08867649163184,39.96871445839288,42.43800906865285,45.1577918861515,46.983551299571054,47.25780321178554,51.715137770663674,49.92861888262852,49.76390437363802,46.521526453581856,43.22152011589124,45.038748883185995,46.29345212185628,44.34088130884818,48.83680007078514,49.86166507624801,51.889130278457756,49.13761056379669,48.3293884233909,46.26968446734773,44.839959826945254,41.71705402968431,39.213121556444754,38.929181565589246,37.48098436836778,33.380044838667104,34.32718983216052,30.91715867683298,32.56689121996106,32.86508642486352,34.078594722874385,31.083365874891804,28.11525718622062,30.955247408284517,29.44233661486994,23.620764911759473,26.011156478724995,30.35080520358449,25.41682778614028,23.17971000618574,26.087398243578107,26.7507286738703,22.072066601024726,22.09082303235407,20.13182360739214,25.284879084220496,20.895979414627913,24.355114530521078,27.690115217896345,31.148068818307625,33.818738041128896,36.06457146235059,38.3629827914076,38.50532840775891,41.63782360389387,40.634633833211616,43.50409122597755,40.36693898763969,35.94747111582497,39.97353208891158,40.93133677726609,36.23985516410239,35.75176487441182,38.63419132183659,35.692005900050965,31.67760262458361,33.60443817829028,31.478302339853894,36.88080071699536,39.15659450986459,38.5008026682037,42.30872225005666,44.69593104972765,44.03400659582544,39.33556036414583,40.28318026693732,42.640787034365495,38.82230162027846,35.74684242429667,38.37229237418665,37.58888022780517,33.3505169940577,35.96561434912427,37.329316351203076,33.76276986323781,32.19460741705087,35.10434709337689,33.07944135079139,36.23671539518153,36.394003562058906,38.24201992698041,35.04990006243532,30.832979361641378,34.08141075614247,32.953150113884426,29.488780260164596,29.21898133118355,32.98351958728868,29.47539371880363,25.17623469047083,28.304644103221804,30.422396415016753,26.3571855797849,23.22515467092972,19.491447136518918,19.345713712363143,14.943116936887206,17.18039126797597,14.72363681811717,18.857397316014485,18.751417175096396,14.149700926121303,16.07979051064094,16.017912099792206,19.362042680153476,22.990915528093282,24.094287297703385,28.39446865087616,27.71270629388247,27.037779262379665,32.49091936955086,33.69955525901962,36.035043189462684,30.970521724626675,29.818783902950955,33.37644242422841,32.43796269733294,27.562769835469634,30.067980108357897,33.88936067472742,35.0056788258536,37.37180475121823,39.586539031420735],[24.2295942715493,22.397384365838427,22.752180886416355,20.046660284537477,22.68675647010354,26.733909013264224,28.648810049990836,33.17366069399043,33.526615128022556,34.06752731187246,37.3800351833434,40.31256849280196,38.357830037635225,36.68989076687664,41.777884118098534,42.68737464870346,39.45072348612514,43.12191488886266,43.47107457995836,45.56814796155316,47.646882270869284,50.52142026273418,50.40526867516674,48.272833299948196,45.90296478556972,43.1491447801811,42.026577855539806,39.442613080426476,42.16770578155493,43.272765032750264,47.642643850078244,47.34320055826249,51.45660674465088,54.380255137293176,51.21269179885355,48.42597853492949,47.374060746236836,45.77208852741327,43.94756073735695,48.778568026761874,44.87957216013631,47.24634005046624,51.2565654735248,49.419685523610625,50.09265764538179,47.410086780533824,51.19588390067939,51.998430471893705,46.95236157323416,49.37242053496027,52.906302490273035,51.68246294132239,56.49730695773081,52.16544714026674,58.38126640218297,59.76702044188945,55.793392026012334,56.813585641582385,61.42124060581204,59.60403700299377,56.48936866243606,59.11487521967663,58.24255959760238,59.11349442215042,55.97690203914583,53.032792381406324,50.45503240586534,48.993665509185206,46.09461227151393,45.40735285182036,43.90347850554222,46.36991990511877,48.888241966760305,51.18187237883646,51.36144232606974,57.41069361177656,55.36437945781971,58.90951550599532,56.87782322960894,56.75675650537017,55.35264223855267,53.49580266750929,51.64043536406005,50.5784498247339,46.99882417512992,47.58314210562867,49.86254513824472,52.13335136387583,51.617835633093776,56.15279388914382,53.99942531845313,57.37728190262721,54.5768521654576,53.18904535724476,48.56374281230213,49.57687307931808,45.29547493409953,47.762142775244655,45.32079352100449,47.09102933322229,47.38726204285443,45.720768256550215,46.33007079258098,43.40307192041056,44.3552007547933,38.982718568913285,40.34401884699305,37.40165103929238,33.71350771160993,36.09144758241725,32.07580344130482,33.04305863808444,31.87502225227208,30.90468403224783,33.04763929258707,31.22553678496745,34.83847999348374,32.91815116252355,38.346662576692914,38.96173481855742,35.982653744441585,34.26004474821624,29.809824284284467,28.832552426783824,28.15093041524521,26.951699986599888,27.956278175700014,28.78586691375944,29.904446282822565,34.4148032719632,30.726570707516284,34.79710027422454,34.9195475640112,38.280542125564175,33.25526228009869,30.926259471303062,25.939398384341803,26.66504638701414,25.97920900441683,29.907222634206867,30.148301687517847,34.73863859798818,36.017476111652606,34.38653819499304,38.27722416382471,38.624715435189685,35.592257132352124,36.74566829754178,36.398867791456254,35.468589911528305,36.7853005709937,38.18579539232527,42.15620654301636,42.97961176183803,44.3215601998721,44.059845847250386,41.6828675131305,41.03390971299144,41.442809236297684,39.00186887597136,36.702066969047515,40.27457646399757,35.75506147444691,40.21635418944299,37.75891741484915,32.734136792215374,34.381482385185,33.3394522091592,29.952439484847734,28.47592350884128,30.28380920489814,31.15579671154253,36.235162822425316,38.962834311660636,41.81337585968878,44.02176302504371,44.243975404880274,48.81842698679564,46.624298715707695,46.68773668963682,43.0445072241668,40.29074039303291,41.873182176642764,42.915184779034284,40.72193006613485,44.90168513009944,45.77260480803493,47.64888682242578,44.51026178608081,43.986431414063304,41.964673178743475,40.75841813490785,37.87014624866353,35.65668903487382,35.74096553887593,34.691655532605196,30.729179752778958,32.28490784868037,29.37843336488545,31.138249708517726,32.21867353245133,33.53202336355642,30.181808660630352,27.72695368905646,31.17259633732677,29.54017885505146,23.600853330116827,26.77557799764742,31.40218604770863,26.308622465726703,24.59768336084433,28.022638299273346,28.3871726208107,23.833930735352283,24.69422580009414,22.35670020997315,28.031343715989994,23.223263964478885,26.13788392521176,29.898304474479477,33.16676001476032,36.50519280598437,38.04911757415087,40.008474786181935,39.5948795863164,42.394980630211236,40.91543337383123,43.639320165457086,40.85600063817979,35.95657159745217,39.621936664464535,40.714902496387445,35.96023695007895,34.98805285879962,37.44137051440659,34.82354299587944,30.948470015938618,31.874594090413623,30.466639133694688,35.57164024540099,38.24227993353072,38.185473532412864,41.894856041019786,44.777031871715764,43.66016618827273,38.929977280075676,40.65452308486269,42.85385119199883,38.677223091553024,36.111094333020944,39.17754786154755,38.35614397773984,34.2179512227888,37.32815765566149,38.887905013589474,35.3156126582946,34.081162093616726,37.20083348020397,34.95827858937597,37.78885600105865,37.326331320144014,39.32142945834565,36.713672725284866,31.99253080840966,34.779599601623175,34.16895458383604,30.83703922771888,29.654125153932537,33.62931630575619,30.74823567257738,25.940249604548146,28.288357360730107,30.9558791063775,27.369991340777734,23.86933488243504,20.1005249826698,20.415790515781904,16.225149312666197,19.453598932066498,16.23151320632792,19.843826195178792,19.46431756236948,14.695257061325512,15.82184508527217,15.56666272435243,18.231803834761312,22.40511496584883,22.712203394461046,26.818925671434787,25.775969026170902,26.099055626861126,31.665076615612506,33.477381619957484,35.437516578430525,30.154340279522852,29.919190327612764,33.52011270172996,31.73057107276132,27.509022020352777,30.723166605771393,34.344310184084286,35.3707212598695,37.910066773842104,40.19998128928533],[24.189080166211852,23.051048926638398,24.513037965207413,21.005918259019783,24.857254419286598,27.42187527497059,29.36414977296676,33.894120538289755,33.3188447981324,33.83520197925903,36.742986278379824,39.96014542807158,38.512664104528916,36.13648087002615,41.251064718958304,42.67773550412124,39.67700295166957,43.267808837071854,43.62698838151396,46.28971579949283,48.29330722693441,51.6255188508698,51.33214452982961,49.41129636798147,47.21812022328562,44.03452167272887,43.2368278828961,40.36737506649699,42.908287086086666,44.02094144218725,47.56915314360208,47.80642458335501,51.62567248868156,54.62097500309595,51.86428521399207,49.12488079678495,48.54590523727731,47.17979690896118,45.75650744938783,51.12821413241784,47.036783070883686,48.809128763368015,53.041827585533945,51.53646265785517,52.17176132656262,49.788432193101215,53.73233557189143,54.485928173813846,49.67995745755855,52.592830108349474,56.123521132334794,54.551448487403654,59.228230041415934,54.670050005426084,60.879656057847356,62.10544266361572,57.90383508834749,58.66732875818073,63.25140665233748,61.48612495928795,57.93565197958615,60.1434851758002,58.99531488746867,59.648796059807424,56.838097489998404,53.90672313453373,50.66494189452047,49.095022227296916,45.693261024095,44.71210835549853,42.955754392924455,44.97441523012832,47.86161602406532,50.54867055125221,51.036606295408426,57.174244110889035,55.74092069969655,59.28898597732303,57.71535045201457,58.04306282246478,56.883572900359674,55.57825887169055,53.736791701526194,53.16919232167282,49.5976757441144,49.58791532409383,51.46360262484891,53.524932590540764,52.53192624599606,56.737084613888875,54.14637747965521,57.089421213264,54.126812040776215,52.77656625469841,48.13342953043097,48.654708595493155,44.36539535976626,47.518779806472295,45.26332874689949,47.24256060144127,48.06464940418447,46.98210833836086,47.8627318132592,45.45138411477867,47.12869730282293,41.79676491726677,43.64554476181753,41.1583271925836,37.27526712949825,39.067937871993884,34.63349707278056,35.32617597644738,33.30939864349577,32.496008083544645,33.75108054847066,32.064853032392804,35.454491945571725,33.6124209277871,38.51402367735586,38.964658860073115,35.66478803623715,33.985216089061716,29.816574246304732,29.138354711614113,28.641745455860967,28.658471894619353,29.849306832770765,31.43449236568388,33.1653392070972,37.84652440476819,34.8742024007988,39.202971422717305,39.32032764000558,42.19695607844084,37.10888184147809,34.15422972749041,29.75647331439946,29.618556295028498,28.25279794842134,32.029659172675935,31.992889939075813,36.58708625729153,37.35191779074536,35.96503323973238,40.072208852266584,40.10835483153448,37.05903139475552,38.05041078945371,38.024945150738766,36.55241906087698,38.23488210589149,38.83435414481052,43.12790445680709,43.17080157010229,44.38155547226483,44.658220912466895,42.3349564533128,42.35576214052124,42.62597648827588,41.05355224332193,39.0754455460199,42.1919564984533,38.02048604298431,42.697172941686844,40.83644460326808,35.95601379939611,38.23968375720229,37.5658010590795,34.43462526473841,32.32696010261501,34.1401837989429,34.31137267674078,39.39384164455478,41.89179401023766,44.37905763588637,46.47265962375044,46.04971809460141,50.997708012112604,49.121258815826074,49.518297290399474,46.20215914308179,43.42987425403216,45.65980508744242,46.98260542300856,44.5042319933276,48.38769591661373,48.67962185038241,51.04085393029088,47.78666109043895,47.80393732005075,46.17303122235291,44.746328802305555,42.334802754002276,40.24641528199542,40.578408165818736,39.88162064132328,35.672166914563874,37.29672560293616,34.327344519666006,35.429982050467466,36.75106060209411,37.39217709982128,33.86468234267584,31.952143673686585,35.110944096552075,32.75379266784638,27.2018537267224,30.52563157393617,34.44023764819135,28.77386466377894,27.361339885658246,30.57520332550028,30.123281555514204,25.42019687006977,26.733173869178213,25.174795957436338,30.75479207495708,27.316598808516428,30.182808213524265,33.670037103252064,37.56121435849876,40.56067764456857,42.656719212209815,44.41659617716368,44.2892413072299,47.13988809161139,45.520671073635334,48.67668535657298,46.05261107319539,41.041381492130085,44.756984423119,46.29022702616913,41.5946007858607,40.45511312949768,43.087313450924036,40.83564588317625,36.78493102859599,37.478564565306066,35.70277708057609,40.37607446667683,43.13282916578396,42.7167888421452,46.12190092061913,48.73157030609047,47.3298180881728,42.81092866912719,44.26424072209103,45.99363008770671,41.73036660030195,39.31661274174316,41.88523344918547,40.613537742734486,36.66868343207916,40.05284697307946,41.03594786511771,36.98145715048534,36.380256123564564,39.74699800450241,38.00917764134388,41.22603535270355,41.02859394081008,43.452756344388355,40.63801206562575,35.88519098152731,39.2547551497613,38.820666516881296,35.31775325446134,34.49474469420462,38.89267291844734,35.957169993393975,31.110195304548537,33.853564848992946,36.736667792660505,33.05732336912906,29.564273483464323,25.455727335987504,26.17957451828549,21.69445204399868,24.077249603095254,20.464891978507403,23.826133626152362,22.33738994389546,18.14976733404069,20.15313636984126,20.872354777662952,23.50182664918077,27.3009451754594,26.78557449863388,30.990923481961588,29.049930456259087,28.991288315543795,34.3595894030749,35.981825755039885,37.456577043608114,32.110494147965014,31.729025818382645,34.746974533935436,32.75399712343715,28.34711849715905,31.33994762836193,34.51708051011124,35.64947292549191,38.24474079742781,40.558733964763434],[27.81895137983939,26.705289656266032,28.084254368782908,24.566551808576172,28.16612493597893,30.93858658075431,32.71463599713311,37.27274483516512,36.62259517685231,36.890556009925525,39.763532185036226,43.11489416219077,41.4589564680497,38.93584142600618,43.99758416823144,45.45452612406902,42.26082540300966,45.646439048251935,45.64797871875462,48.39678910041927,50.143861301551865,53.42506156696634,52.90738870442316,50.83450118960169,48.87356333272852,45.78914301516757,45.26042822148914,42.597021238317964,45.35641709838315,46.7206781256149,50.181277489579955,50.66246760691765,54.49812493835666,57.32299467251561,54.54664439619827,51.638812979313826,51.23757177874234,49.54456460311767,48.02792474086907,53.3358129399531,48.99617988099037,50.75332549074634,54.947901686748736,53.27153992092092,53.637441709819555,51.11504640336625,54.979845702427184,56.02657391111543,51.33327161595089,54.04757340641699,57.77951296513855,56.373209673324446,61.11540116352694,56.71638794075348,63.02379423902939,64.01460826774694,59.78114934866188,60.79077550558282,65.27266812029303,63.244883409679204,59.77618438496862,62.114147756987116,61.122174436410674,61.5101831513438,58.64463530156622,55.929264589980235,52.576086273150786,51.25253032120251,47.70320994250547,46.95425109258678,45.026756727571964,46.90173045184071,49.98424034409297,52.51394668390235,53.28011389833203,59.36652806553915,57.96048524650641,61.653979218627825,60.079328577605594,60.29998640975032,59.34654779409966,57.9691175457751,56.38121515339537,55.70445504016324,51.990892684781464,52.08705614844021,53.82344612295675,56.13297433412865,54.9232612014393,59.289049248236225,56.612598446450086,59.493720080277015,56.64822748485894,55.46980276432074,50.88234727084623,51.414592924584205,47.17693476537538,50.48894191382461,48.364514340814274,50.539463083814546,51.17706146337412,50.24194121154149,50.90969540577227,48.60838671599267,50.117427692166835,44.85261854527615,46.7164888999335,44.098426254106094,40.33683443076175,42.25171083622636,37.88326165611916,38.39825480863268,36.46004702076063,35.380858730420336,36.532550787994886,34.59641195088593,37.79023947759136,35.61960006226156,40.37259243437401,41.175437437814395,37.86657328631597,36.447152874996874,32.1917686401764,31.807010719559308,31.61959224798007,31.53763451840637,33.0790381325412,34.430458661093795,36.136066820740986,40.701662904195956,37.564672183899226,41.857442703872344,41.74715196361588,44.82871974196272,39.589687719624926,36.75541730227017,32.277283808584315,32.0407342210654,30.51560883007377,34.222662436298044,33.65952726744786,38.145809431865565,39.19276954596762,38.05642257843463,42.2052870430001,42.512416819078744,39.554610224742056,40.821556876979834,40.97281080123596,39.688533669463155,41.528340464693564,42.22280932592027,46.58167985607545,46.70654684494415,47.803122935064046,48.00736225252489,45.56188524030579,45.60299429316394,45.67823784536374,44.0904964114673,41.828475770668256,44.78689038769958,40.371803127250374,44.990795879761116,42.924758653799444,37.78549113958355,40.15841161542881,39.1433148999978,36.1941648756831,34.21164462982776,36.26636326370995,36.561217140831495,41.73158890820899,44.40336862228336,46.996320199130096,49.28137020854174,48.88112596844906,53.845579963844585,51.748616428191376,52.21722542234741,48.65408432783918,46.16866241610508,48.141469969394805,49.26564643189522,46.74232611239555,50.4690750516555,50.75925139683965,52.88914357989873,49.30962509390882,49.455693632374725,47.719695058158884,46.59571543350136,44.20035746314379,42.27423255576257,42.70671377408591,42.02996590955676,38.0250527624473,39.80425366315483,36.980490370911866,38.353087693109366,39.680892028764355,40.55180428122,37.03774218303197,34.99938255984973,38.2620262998954,36.098571088512244,30.434517349250026,33.691993954267225,37.791568835940886,32.24007473984679,30.70828205028646,33.90074231383535,33.63611469603821,28.9181178479674,29.99784415459604,28.345385016567764,33.83459343600689,29.998547487092658,33.07039298646642,36.56773645758109,40.233081022976066,43.16027548039792,45.23992242687997,47.20984406087605,47.06340912586969,49.95267081785492,48.436300136677886,51.39402254934482,48.645136762620254,43.737070942314794,47.43183288390572,48.68848181880717,43.95948509282928,42.92770884302131,45.402759785265204,42.8901925182452,38.9958045842747,39.74167496728898,38.28551891389375,43.120947544535554,45.89158363788603,45.66565510233058,49.17830250857664,51.89250317888603,50.55668446586246,45.97498734373459,47.523565659075786,49.372891948063305,45.11341669515223,42.674262277439716,45.33847607318401,44.14317625143041,40.15793631365048,43.45443293983949,44.52180489132039,40.52686526884482,39.782756897196094,43.06680524011338,41.24621982722231,44.42066974183126,44.22434508388604,46.48305294654764,43.63878521241979,38.97690075485734,42.18385878322901,41.58334140237333,38.126839785954964,37.26898611616755,41.40771159998276,38.34488490698437,33.63632805866496,36.23682647634647,38.84392158228513,35.08695551761149,31.7048401980437,27.858275122879892,28.030051740056805,23.721832868446562,26.4278370792613,23.25261457744938,26.849755937894365,25.69960994063315,21.324723848025407,23.11166573525405,23.40215084292383,26.058491541771613,30.068086614168525,29.788622091582262,33.93106482493045,32.14396750008889,32.331826543272925,37.74823295484957,39.453888421135574,40.95552064441256,35.59640664370665,35.3057422608452,38.36689032037866,36.310373078005206,31.985960095679033,35.001738555064804,38.17209983875031,39.26182390070096,41.82226316273048,44.139948026437985],[30.656109303543936,29.161065509596895,29.929886754901666,25.89503981872855,28.75289105792177,31.894365399725377,33.07051823677356,37.66894285919787,36.89030474244521,36.52825446391227,39.39049106566388,42.979832606625784,40.76609495738516,38.07966649893588,43.003100420061884,44.414953172858645,40.85768542466787,43.88481376321773,43.351039359630796,46.16112254559724,47.552574875582266,50.73917652845503,49.951855172390815,47.71899750331017,46.037324180676414,43.09110510483665,42.92218327549687,40.57686022776049,43.66269435114984,45.45459371884894,48.820618604986876,49.69376723357821,53.5806610759533,56.05185079899834,53.210907839540376,50.01833342541856,49.921577036760496,47.687784805182126,46.06119743961224,51.30180118667217,46.611931885782404,48.282281327825395,52.416893094319526,50.56307363254694,50.60577662004392,47.98730835870327,51.770923952808566,53.121400622789636,48.632807077166305,51.21536985555824,55.157254620633466,53.879666063066814,58.65497006603659,54.451697458121394,60.86627841146552,61.504265376626456,57.218613457473325,58.5332995652759,62.85230300460947,60.49276885361019,57.11696945771355,59.61505716873271,58.85350242548375,58.89423856168211,55.94863933022729,53.52921493220301,50.086695606640596,49.127227107067924,45.4605274268488,45.113219912809654,42.99954772678763,44.7879972681674,48.03279122620075,50.23516550707173,51.34172171084881,57.31455036896663,55.86830065844796,59.77234361763674,58.16775190790642,58.21454116800408,57.59709233761255,56.154184310372145,55.012765621334395,54.2308007116503,50.30184262671279,50.47852105007817,51.939884727303735,54.642660670312885,53.07481139890924,57.706582523126585,54.94170797550108,57.781506927043296,55.17585983759288,54.30254990713749,49.840906650722204,50.522061645133896,46.40430953213728,49.86573058167193,48.01435309817184,50.660026793508464,50.751747368873176,50.20151890829253,50.341674915719175,48.4028902646032,49.66948014575051,44.638779028948555,46.75424633963348,44.06145527352975,40.601868265995336,42.52606262809824,38.22482429254316,38.13401930566825,36.26633509368443,34.615450940511074,35.51122319185826,33.14619745652358,35.98629417249619,33.35310336302115,37.89035647091392,39.20222077679965,35.95148995353439,34.95010155680175,30.565222366632117,30.658025043689623,31.069357412911245,30.84201612847968,33.22604589071709,34.14946506761616,36.010997399406094,40.29627617932691,37.222201327992224,41.55696847903839,40.92431227409077,44.108520236364726,38.59585428958465,35.77582339416766,31.478676291254548,30.740072242296076,28.831243224760286,32.33166945115838,31.0241781689336,35.32508438860872,36.66693710602213,35.90073609245202,40.07954261969505,40.77776491941348,38.00052291731613,39.73888693856574,40.27372903067477,39.39720312784261,41.66859887516945,42.613884606665415,47.177269965040594,47.693585917211756,48.35085162747581,48.24526365235006,45.45872719254703,45.560374373119764,45.13710837453799,43.6243944833332,40.834795323840446,43.39123306994385,38.660772320965336,43.176005568146486,40.95444497093752,35.56375058736801,38.24023408872236,36.951595871510065,34.40702683634784,32.340923700767235,34.71469564410761,34.947960807887526,40.18833333843658,43.06177192296183,45.73108564935883,48.34478315210824,47.88665108024223,52.90373202355845,50.448241988267135,51.13175683433644,47.23313172204368,45.31369141907257,47.018895490552545,47.90661488791645,45.202108192562676,48.54214937851957,48.66300474538799,50.58708436881944,46.60064778696627,47.0728649122974,45.385496693584734,44.55835504649757,42.43859722998329,40.8489419437934,41.60667429614239,41.27172425510917,37.52134583369014,39.74219794235819,37.37209230610633,38.84908221143495,40.6804864500042,41.65881348769331,37.973451893426414,36.28071159576528,39.895889846505014,37.74228727071508,32.08801177943233,35.73237675218009,40.01373045767102,34.47382707588658,33.235148939908875,36.698356812128026,36.33324875316878,31.743090548364247,33.21258302784808,31.300875720268785,37.03706830493878,32.83440901647922,35.633098990419604,39.36344429711847,42.827808232871085,46.145872503797165,47.76754819291316,49.570842484022045,49.06086977525821,51.72311958794468,49.931781783154776,52.71349253528385,50.18906534771997,45.046408727529084,48.45291901422379,49.71174341187581,44.9905973950521,43.68219138029623,45.78585943948754,43.463279762260406,39.77052651464305,39.845878896137414,38.98505556441911,43.56777098709314,46.57160397877269,46.80267917382077,50.23671305724327,53.291893832319836,51.67245492965775,47.103282675281534,49.18476356064346,50.94608211507651,46.48546328110124,44.406258423146106,47.36508097468421,46.18156769008913,42.28554958216888,45.84511140987465,47.068021677993485,43.1247579145636,42.54050186642071,45.91080572399935,43.92568563256522,46.85746678728701,46.26259489003664,48.55074347641812,46.09072585565065,41.17341970181527,44.014074169137295,43.697756587222734,40.365018238116775,38.95137383306357,43.101022594092264,40.42153224660505,35.50310021951571,37.557538314780594,40.39182283026271,36.95206921247201,33.43590015989941,29.713308945301456,29.992017519633784,25.92702227024412,29.16845560011474,25.77418722384569,29.09565280274103,27.926686027796748,23.548286000393894,24.79989560949651,24.88079106844874,27.048849596498986,31.281802421649285,30.56418459632207,34.436974698414254,32.46806624319216,33.38377011203467,38.767622127179735,40.87186103608081,42.10059305634825,36.67994570620769,37.029543104643864,40.084721112150234,37.46145691853806,33.691476556153724,37.12940498712666,40.12317767160434,41.11092521274147,43.747920020302494,46.093920916235376],[32.00324721403354,30.820264617160888,32.00673351133532,27.593770077320794,30.8638325796277,33.216969583149115,34.26910030554898,38.78949277786816,37.45155642274156,36.94441670590221,39.49430661438076,43.25801867094621,41.277055499548446,38.15107173810743,42.9777361449272,44.694630574358506,41.26583802558817,44.12183136803116,43.49165009798266,46.65347339838815,47.9102286842136,51.35015510015645,50.402838163085484,48.30878054780506,46.81594984118227,43.64702229694106,43.76014283821587,41.3207491566321,44.30323949258097,46.15878070140628,48.93644240978613,50.22761386994687,53.89842118427068,56.3206381034908,53.757491499843375,50.57091950441244,50.8346896428847,48.676977107636375,47.30473224285502,52.82324554595584,48.00548476629721,49.25934148027175,53.488120854065286,51.83921426527188,51.80975710330881,49.40467953523545,53.24038753507672,54.58573225771335,50.32565161088628,53.18405962317352,57.116943921401024,55.6423087333466,60.29781720486119,56.0097952565297,62.389819133026855,62.867312233633086,58.455528932009926,59.644141249576094,63.89000067724971,61.52528045281069,57.90219282078247,60.13258017440424,59.23755603288394,59.06556247420326,56.34707655680025,54.01317681422938,50.14090912367798,49.19357926027407,45.20449106475183,44.7515761870064,42.44940897763069,43.87701225069416,47.38085380186738,49.75571313459092,51.13799744933957,57.09197010008288,56.06123827651321,59.97821827787889,58.681616380577005,58.988100283747976,58.59389126636902,57.50238511573694,56.451974276257644,55.963861554757564,52.03967844070886,51.85796128024729,53.00424778603652,55.619349951641,53.69342912087791,58.12266609081344,55.07608486114071,57.594204238794674,54.95440950153554,54.18118384149716,49.78079969840149,50.16312853973245,46.11750833525881,50.0182787823809,48.364666806497844,51.21076875370961,51.51713592777081,51.40308850836795,51.60982047484135,50.06023239574997,51.70798284818317,46.772200399088106,49.18793587360066,46.756359834927,43.250071337729146,44.83847111014322,40.357090343142836,40.0256158040466,37.71425302651406,36.0893172102834,36.391715630797925,34.08183583627642,36.653732444496185,34.04266145484671,38.09292601920859,39.37468970917158,35.98293463022769,35.12409422699521,31.004232993246,31.382468381588136,32.01293864110783,32.47104555908614,35.03715009107687,36.29736884834181,38.487446532271484,42.790960632920026,40.14533674120566,44.599487807362934,43.915134738492924,46.81112825763512,41.27788670608422,38.13740082694735,34.24220746182968,32.99613612257777,30.701892976099256,34.0005508488672,32.454133119479955,36.631018501492804,37.65682042825318,37.120979214122464,41.368941789702625,41.92381807832346,39.21012602035282,40.90177430363139,41.68745835407721,40.57356956662618,43.10511368801068,43.617163970047024,48.357347112653855,48.48343232381833,48.960898327252565,49.11969108093554,46.329973634339076,46.843947121004945,46.25097094560034,45.287291905182876,42.63618568013249,44.82593455693795,40.32419680882841,44.89538174752138,43.0465118923523,37.795314597869265,40.841867389018184,39.771072004113165,37.435343280506444,35.02910718310203,37.39239773085894,37.21119620263127,42.388365137888876,45.1185281086667,47.553746121393665,50.124471270036715,49.270482592487255,54.48090993205914,52.18094848656582,53.09573797270194,49.37669281361912,47.53911624756886,49.577611165778656,50.59878776599884,47.72346652830708,50.80943850448565,50.54953958107532,52.73323936756319,48.66507010920709,49.50834632902679,48.0859718603409,47.15826918068568,45.37158580655608,43.89734181822961,44.82066766588264,44.720065945488436,40.86707584426844,43.15223184842409,40.79728979877474,41.92930987668853,43.94277317078947,44.5748424417889,40.79148406412335,39.429195408585244,42.933042484417605,40.41730967906206,34.992869460040325,38.74626730855313,42.67552598407909,36.89064298629534,35.85712555551776,39.23474940572372,38.44542311409679,33.868927244683476,35.60659021939353,34.03784893375933,39.7311489412372,36.152369953701296,38.87523102330326,42.503603772012724,46.25896654767126,49.47232532613675,51.300722356735406,52.966827936434676,52.553563671130604,55.20539392459965,53.294198332754334,56.291261172118475,53.89174950208526,48.643897965439045,52.04207169717095,53.556848123164094,48.86132858976914,47.42218104562343,49.586686539081725,47.49898715646766,43.7196649866024,43.60013768249896,42.59296700965429,46.90638555292313,49.98030018306722,50.07305356355913,53.3224094838822,56.27187949943997,54.451650483526315,50.01558501684356,52.024589046189476,53.505288348493465,48.983623902151784,47.05386759880917,49.779009448733554,48.35969758535784,44.61021546037607,48.33999898851662,49.27399642845935,45.110708263100015,44.896128333313335,48.39332501450791,46.654865785101904,49.739176208556835,49.22020110119051,51.743504113742226,49.239351136410065,44.26895239071738,47.35743771788055,47.18163518297076,43.77606774432194,42.4664274364778,46.85198191307844,44.201139335860375,39.212089570295284,41.41185373564111,44.41342181419085,40.9578458320925,37.40223870113062,33.49258068260232,34.02551540392869,29.80261640116934,32.73089392902776,29.108087183874485,32.27111672354188,30.607255474614604,26.52736991483148,28.080037886206075,28.571293931202472,30.69520285954534,34.76673855276942,33.61023162802043,37.47904223821852,35.046664317869606,35.85003774898379,41.06811531489211,43.11357942765982,44.02588809957288,38.62139762344521,38.995047622255896,41.69958664353415,38.898119037298166,35.19800271131635,38.53289200139931,41.19825756071974,42.215478306563355,44.85878179284817,47.20336725159206],[36.614977098628216,35.33209228089033,36.281677925910344,31.65579308849424,34.50683709227098,36.96397496094207,37.622479190664066,42.0955401522588,40.568264255689336,39.58702229018362,41.99980342403402,45.94416470787927,43.62736406293739,40.287554400076296,44.89389756163618,46.64864696989873,42.99034080102955,45.423621224239604,44.23800464339694,47.53158386009979,48.35328193832402,51.72319657122276,50.42988337004571,48.20349972304676,47.1156904937598,44.088830701838184,44.66445715377527,42.56031220240417,45.784831920204056,48.019930457617676,50.51080512927195,52.254616701486476,55.87228234980708,57.95405026453527,55.4366658212594,52.02301460626789,52.65313276874461,50.03557352033083,48.62648487008375,54.0644335814584,48.920023244164945,49.98411212843392,54.12257806198649,52.33428362058904,51.91410006095281,49.451098324036565,53.14736268558879,54.85372712880486,50.906510425287344,53.59535445695981,57.73386292330956,56.40430595078501,61.04080222984965,56.990064491137126,63.421258136012256,63.49584877841848,59.0418883186688,60.5233415962512,64.54832898956943,61.83545461206241,58.28964116032144,60.60643905128835,59.92415592006642,59.314111292332264,56.6009764230765,54.63623623716595,50.570374212174926,50.01886141837162,45.839771197102735,45.7550874351916,43.22387453310236,44.381242457248185,48.12412364075476,50.20980156801537,52.03251163041888,57.80966779166496,56.89393348488771,60.99306008403993,59.770300293822466,59.97119721301244,59.9631951693738,58.88805278959598,58.278549555093164,57.74168160964537,53.65325305650481,53.49537753935102,54.30760730925902,57.25072872306546,54.915176423586885,59.50212658167229,56.30965410417686,58.65490090039618,56.249446004147416,55.79380078583827,51.566559999733606,51.963068382824105,48.08832714595231,52.21871599251279,50.85400963360923,54.0764463741747,54.03036475009491,54.3012040675349,54.120160858067145,52.924142059151066,54.41864661967997,49.70431843387537,52.29538837709453,49.82843635346,46.559629159153666,48.138643988516876,43.734456961306755,42.97335413728192,40.68695644074648,38.666239397876616,38.64558072532648,36.03108991760302,38.163320533572396,35.16150919062419,38.75340348034775,40.52394442273124,37.20379983398231,36.80066015592903,32.74067816630856,33.59761294620183,34.73255058689493,35.190261267334286,38.32566621911134,39.30215937401538,41.583567060097764,45.63567391162447,43.05075199793259,47.478068685969355,46.4010905562682,49.36673697770878,43.677012594449856,40.594262688901296,36.90216807905294,35.2792170324569,32.679740493276064,35.6851634131038,33.38841743891984,37.23416698717657,38.50229376174069,38.408353251007625,42.62623171438488,43.52073443368355,41.02806473361152,43.09338460904376,44.22393516196894,43.391863638826344,46.24552060133228,46.844833521902366,51.71366593410509,52.003862801383,52.15487158886476,52.16598529152845,49.15780439578575,49.79458661738146,48.80259995530689,48.000256704479376,44.976700743785166,46.744420323328505,42.05637717841975,46.470100859994986,44.5323757902705,39.12500902039839,42.41775941159168,41.0681466243698,39.158338035103036,36.757122479583735,39.370726301106465,39.13846064673032,44.2916146537755,47.15694176665536,49.6088276148467,52.428493159876695,51.47606450864557,56.71541596085742,54.14798715468016,55.26712198986463,51.30207456373331,49.97387038635772,51.77460678737189,52.57265108865993,49.56723696476893,52.244739917946234,51.79630243905884,53.75812567104061,49.278963463095764,50.47975951710207,49.108252118336104,48.5207423195924,47.00400645742479,45.855542730496246,47.032022338683284,47.17203571729699,43.58690949898971,46.15726545156942,44.123464447016765,45.3683350593416,47.63925690612522,48.373278751301235,44.5259687434365,43.322159612162494,46.99996542024955,44.536100440044784,39.12504483917106,43.01152081431734,47.04476331013235,41.2973776135755,40.36205576977286,43.82862940430234,43.02614380624724,38.50419408875835,40.32724711624164,38.65436131491945,44.40578808246005,40.580294037532504,43.26815341010705,46.983378637893445,50.584128926150655,53.9220130904354,55.55787887111879,57.22856632543617,56.651806880465344,59.20439917881869,57.19861471634761,60.03541838590873,57.71179106626716,52.40256040171195,55.634707730925655,57.049116980667925,52.365234697659666,50.83161401909799,52.72666023663066,50.65785002784478,47.07076299042181,46.61986858687221,46.044344943955394,50.23670923808786,53.42697482578442,53.81499850957956,57.034702097844274,60.177276184094836,58.221332963207864,53.80051358853263,56.09394597149291,57.53983638616129,52.92893057646766,51.188071851473794,54.052555580572125,52.640491436339424,48.946651534191325,52.773805104904476,53.77307555614125,49.63415322509011,49.47882246573913,52.99328084012442,51.1795029833595,54.15333831665321,53.463643308102824,55.95305977684755,53.6094174553145,48.566127856723206,51.44069738825838,51.338048819854215,48.007400093649004,46.451815550941916,50.7358052428961,48.215326179227,43.2071395932687,45.10522197123446,48.08373916549599,44.75463638871758,41.20517178027829,37.465701157224096,37.82879661902066,33.79850474257306,37.015145185864704,33.47334761619033,36.59939236459054,35.01837479870403,30.908220324612827,32.20050991545416,32.476814548438355,34.38521868883866,38.58393925270605,37.29481483302661,40.96837468758481,38.48086193248419,39.70408947795727,44.859193419762846,47.10724373084156,47.84744532297178,42.450737667556915,43.15803702361272,45.8109901544,42.70986689175633,39.34103110933925,42.82985728631419,45.34399533629788,46.30157089034536,48.95302494919935,51.29497325714714],[33.33854608410251,32.17729157649934,33.313696425513925,28.385930376835557,31.533834282907144,33.28871222191161,33.874737678899315,38.247164168369146,36.37826836113923,35.42922752433557,37.65994072440503,41.63119489160049,39.60912543427547,36.07915723016819,40.686730899683496,42.621254319634396,39.20389288571855,41.73660567264528,40.85908792414649,44.32337609783045,45.356452821344995,48.98381413782256,47.85100617966021,45.891218111235794,44.62832760918988,41.300990459288485,41.7634803388009,39.35381444793458,42.3051037094115,44.352743395082506,46.542003592706706,48.34384284860349,51.813178060203384,54.02891903746572,51.70499295748025,48.44862418871063,49.1511254451144,46.90284757866134,45.76203192799783,51.48836319415441,46.504749007657,47.30772010744185,51.58051733851989,50.12348910432368,49.982912954189075,47.82115040482513,51.681755006857806,53.024847594065974,49.06779115185132,52.202913461217236,56.112381622947524,54.44470614902746,58.94442235733397,54.632750920593544,60.95832240071156,61.194724303702245,56.67261314831608,57.78937278116243,61.902140668999635,59.48892725804958,55.661003917088344,57.65760053802653,56.699776705360996,56.25725880077357,53.745402009880074,51.5686138973779,47.319631058824456,46.488193022574606,42.22265233398447,41.81664717193022,39.31833859959008,40.41603249023971,44.146794869914146,46.53899517025029,48.24448435028027,54.10487020417015,53.42258502466715,57.39041974401038,56.364590784808314,56.85772347919347,56.775271929092696,56.013841297616146,55.2030417896913,54.98102747317875,51.030064642828954,50.51126150812649,51.25396435582289,53.8897751717679,51.52822748113375,55.83034995697181,52.52940761854037,54.745399977424555,52.183213968436775,51.620247863846934,47.3620033012289,47.56466906643329,43.674183321371814,47.962402936470085,46.62462063591079,49.84794066336529,50.066932165380905,50.53198600392446,50.55331552519785,49.555153869544334,51.45828657552273,46.77795172476036,49.58896505860586,47.43541540929997,44.06065766715084,45.27841002728164,40.714396009079934,39.86427165526713,37.19895318169621,35.37679011171678,35.002410833316716,32.623563112836706,34.7603328497381,32.07736380982038,35.53681868999514,36.92208506559593,33.47903655066239,32.920913035975495,29.08893194742728,29.914355299731845,30.995901863174275,32.02727702457139,35.090906084886974,36.45812449749781,39.01432963627181,43.148270302319084,41.04373396140825,45.59035634474074,44.66125745598767,47.221889422701764,41.64505840813707,38.207395954715636,34.89823132692384,32.95115251781211,30.18426115717627,33.1270372557405,31.188082760972726,35.11914997696989,35.854894333210396,35.64943460094799,39.90542828094958,40.4246069793968,37.876581205325394,39.67030138623962,40.84135266380956,39.704933517677844,42.64625827802788,42.88589252345228,47.829408990058965,47.83692798258285,47.904548619719115,48.12104203264786,45.189263953966375,46.10048452175816,45.12515748287489,44.730545483641194,42.03959312213724,43.6843374899342,39.37711750158586,43.909752202553626,42.444319575824274,37.376670690645774,40.866138648934886,40.03250566375005,38.064619731275116,35.26735539435783,37.65036311639446,36.98629419762396,42.02898076393391,44.62938664157018,46.81456526246848,49.43178598393646,48.172973686816746,53.54128541491773,51.288455420595604,52.506373306882686,48.90471714851454,47.3688543221256,49.65632049884791,50.748822909727735,47.65565460939608,50.3239509114457,49.606129929521394,52.01978046371616,47.84299178069519,49.15393396131542,48.08007052499243,47.077204404404974,45.77350155420945,44.53685138342844,45.744685331531336,46.04942079579317,42.197895005789114,44.70425193671742,42.594104017868794,43.347885561731,45.803224042374964,46.08805775100027,42.154424371098564,41.367838894597305,44.90472337139725,42.0338624905318,36.94638667430061,40.99791824456331,44.61589152617291,38.66992741278432,38.05769325472609,41.49534447641739,40.22614330629993,35.83155110697294,38.09573733524208,36.69901653570659,42.47762656860741,39.38179536352231,41.75897264269002,45.409398894718365,49.35536379137353,52.746034500065825,54.45789208947132,55.78920497081808,55.23877926509268,57.7038374018057,55.47577891795856,58.632152555756356,56.5563165876009,51.055599301650695,54.25433106534372,56.1233423144678,51.50112249998463,49.7373075763895,51.7945329235032,50.1722970214659,46.385348426062286,45.67071109935784,44.74677548901313,48.550472751498866,51.796970241442175,51.95907857664518,54.916632796889004,57.91726612332173,55.72200470374283,51.47823709558799,53.70070689345498,54.81347030262159,50.15049855991166,48.61411991866091,51.25836309545369,49.62484051575995,46.120173474562854,50.164213987402306,50.909116334738016,46.61498433536147,46.879129811781574,50.5416697600247,48.95498432167234,52.003323070136005,51.29675739994725,54.09708800046136,51.83273384744037,46.6568722712443,49.77189523290896,49.972790076094604,46.587512708246884,45.05044016380393,49.73158360908785,47.416624239525966,42.21470371913383,44.25680889425517,47.649687557350035,44.42716143800679,40.72981918362068,36.661740117067396,37.69960967441245,33.45024493549665,36.278141039455356,32.21381439424956,34.941328117886236,32.76755278982045,29.096008957467703,30.616096214211748,31.473379148065693,33.230966515295236,37.14048563792824,35.26845277310857,38.92709207504192,35.95245216351637,36.99175612815096,41.93479637441874,44.11998624115299,44.552907063462875,39.215814091530554,39.98294287682382,42.31925992179216,39.061072146569494,35.83070032224187,39.28580327699595,41.510256838496346,42.48307824382917,45.16026603635516,47.49079187294539],[30.004957801709583,28.547088969637,29.356630661033886,24.638277168715824,27.566430463345466,29.96296204558574,30.72793983176939,35.236432483040105,33.89142329784287,33.17789674797567,35.771043207966024,39.56953742178339,37.39563955941056,34.304647701807035,39.11644925148833,40.76607353866243,37.26724791316237,40.11760675012591,39.51214196974021,42.63106985026215,43.94700813556382,47.393182946129734,46.52478256337272,44.48178362171571,42.89170675243524,39.684981219639965,39.7336950452817,37.26984886591969,40.25997994489547,42.147935723312344,44.98554392456187,46.27429441305391,49.98055547393496,52.35388934177414,49.748098882298976,46.538077187765275,46.80761966085785,44.62451229139389,43.26965605114852,48.82793371277742,44.03443458218816,45.2613524280867,49.50926317374326,47.92403818138591,47.98938682980505,45.66439939803935,49.55736201006885,50.77039613778666,46.49310138900463,49.494853242229304,53.349145693219405,51.77397168198841,56.394466857173754,52.04874422059545,58.40956372241109,58.92131758707783,54.50287058181333,55.626794857319275,59.89409947041775,57.60134075042254,53.94323487641006,56.15337410477176,55.237866920985276,55.14053236467011,52.409971390017546,50.015099707171245,46.20511838074561,45.22099907232084,41.302834662279174,40.87131876410327,38.62028552116769,40.18173540429091,43.59057958823537,45.924068477494075,47.22102818652289,53.18465684518976,52.0716472163016,55.98390766772512,54.648452870185594,54.94701341414721,54.54158999367296,53.471192615094054,52.439165849921395,51.990832499279335,48.06674689710858,47.831258735616046,48.955284104866756,51.57606736376193,49.650366041904604,54.10731702873433,51.096895738787005,53.6819788798417,51.0668279946453,50.307449511605164,45.91437072785263,46.40503804729716,42.36828543552947,46.19757016986626,44.58643974515643,47.55300741353294,47.66371049381039,47.647956763955186,47.71084040915774,46.28635873577697,47.93285754127694,43.09299904471792,45.65613773234607,43.310150712994165,39.896491465920235,41.365771062460816,36.884027248067895,36.30600274404575,33.96620199626943,32.19992929947417,32.424371989598406,30.054465383663167,32.603569102529384,29.999805231087226,34.11511929545725,35.370958171139755,32.00097087137366,31.147557561269306,26.98290855523004,27.408385117028242,28.170142604857478,28.63562513610299,31.464920126379152,32.651408518708166,34.974226274875605,39.190349064016054,36.7638007078286,41.26967140241344,40.47290852072479,43.22114003980078,37.665850213799835,34.406234597074445,30.732327649933488,29.217501141397566,26.791828735083428,30.034892642135787,28.530443969505527,32.74051170765975,33.65871465100006,33.09537237099565,37.34826352234926,37.87977709007726,35.179074167938595,36.917705681396534,37.78901358368322,36.77077731983726,39.44349641565547,40.04375152843291,44.84664238086511,45.176520906701576,45.4699297814503,45.476684026733054,42.57528424605152,43.100657557084254,42.364637373098276,41.459502169102755,38.735433710403335,40.82117925094135,36.34654308403395,40.92656219145192,39.19050573958187,34.03286421086679,37.203366223524775,36.32380129155762,34.05735380147287,31.447104254754354,33.77315265137735,33.40776343351925,38.550613447737184,41.23699934721996,43.61699596856656,46.212446346354454,45.300979962395786,50.532111208837286,48.218882155056676,49.19730947741688,45.51040448635643,43.7492283259179,45.87524892370528,46.94925437873206,44.00158412589185,47.00706645855934,46.64089569781312,48.946944811163945,44.96436854010217,45.876126210307504,44.59597575467689,43.530207896549314,41.901868354202506,40.474600045326454,41.50564079668121,41.60462804141488,37.718580035807534,40.13053226445811,37.93870450593508,38.87259483776774,41.198188656692075,41.68114521033714,37.794376437741604,36.790332722424154,40.40290737063238,37.73852526733188,32.476641475995955,36.50260431850484,40.35501909998095,34.53686159331002,33.81119946617283,37.348026531135794,36.34825710213058,31.927334105447795,34.08560816987974,32.43923579322986,38.305426092665535,34.85262263371462,37.20637396061344,40.945126543995556,44.74536307379547,48.25320148207066,49.80296413466829,51.16647739449789,50.54230622546345,53.00584007834399,50.83295283436628,53.89483968488471,51.760147521020386,46.29423346343737,49.51520644750315,51.28814800086825,46.649222724841835,44.94120788069206,47.02107308734021,45.30665011674614,41.514730430267825,40.92659696062574,39.99148930824667,43.96690512471317,47.1644928454219,47.368151579423255,50.4502006784124,53.50900419214574,51.45289946097928,47.101214915674326,49.35731343788232,50.667333946281,46.032775891576286,44.373509872444444,47.19234944844838,45.724600136383245,42.093525373594,46.04696257954745,47.00868250317046,42.860445965334094,42.86990559036342,46.469066630471644,44.702532393322436,47.6462202933373,46.87171692809284,49.54716688684548,47.32865874054646,42.14681924316459,45.12610197469428,45.2808621102104,41.93211742510455,40.3118082589629,44.91711086894855,42.63064247411591,37.41803897019424,39.395050422647984,42.77766254801671,39.598324111868685,35.880958751222664,31.849389264690718,32.916464977998814,28.719402172165708,31.67905945705367,27.611786778744698,30.36078615781239,28.427049705508306,24.57978960483579,25.927958687986468,26.642014135957492,28.40002785768006,32.38237321114756,30.724671749781905,34.438854214587096,31.74368611416669,32.81222421804865,37.924800377285955,40.151145890486575,40.846997176542644,35.4473373464032,36.17970496081097,38.82181534789663,35.7048747656844,32.35278048036848,35.93586448447351,38.47028528970668,39.441479929424084,42.1501166305808,44.493709406002075],[35.08453383036109,33.328925241794785,33.57135930921863,28.80159746666646,30.856589452288272,33.84359390826667,34.1023802095785,38.565465101799525,37.29707379060928,35.98453924113778,38.57282326066403,42.51135066410017,39.70094016058383,36.59116587043904,41.143010996402964,42.64151576150178,38.72060419948989,41.06940126974794,39.719245051414376,42.798312536968936,43.583457677575765,46.77300108037776,45.51782488608378,43.18366011339357,42.034060068085296,39.16437421023969,39.698656499231305,37.78288215065585,41.202930193174545,43.606006203891546,46.41989708618326,48.08511054121753,51.85673728759004,53.773670362492005,51.04761012356591,47.504027976609535,48.0677474869055,45.16478952700889,43.58884196511414,48.865902896670406,43.668397435910464,44.892709799767445,48.965045318067965,47.04413032484547,46.60298820617579,44.05300105920711,47.738425813357566,49.462106838557446,45.47168043554575,48.08013189737323,52.24235013664024,50.98551316631258,55.66338621879909,51.69639992554939,58.167165253126676,58.21196494382271,53.79933525441443,55.42166073415772,59.43488621591212,56.65088354896111,53.250642266715055,55.764247985012844,55.23564625403532,54.665555506744134,51.780727766438304,49.84390453818106,46.039546406310436,45.610067458063654,41.63164743862758,41.806761741767396,39.35185861732684,40.78823158776349,44.3610733016485,46.16327217593634,47.89945916360633,53.63942318992772,52.40095357643022,56.56868691033075,55.12981146107453,55.1073850631848,55.106122254940026,53.83482837395262,53.37736298025305,52.67468161641258,48.50902877581759,48.53116352570919,49.37481047596614,52.52610599765999,50.245901006377366,55.06650783569171,52.035306473147294,54.59769886751622,52.33630473260873,51.96105605820116,47.773151004806486,48.48820888178883,44.6477490654412,48.51111161129061,47.188649910062026,50.56672940816876,50.02762548912442,50.294413997437395,49.74993912287513,48.603480010724255,49.7924149502433,45.23417074466732,47.874530094407326,45.3344719488919,42.310401801615356,43.95098594801268,39.7079416898133,38.63380909281747,36.60878306420589,34.241944530765885,34.35693247147565,31.494969952707947,33.560245415594935,30.345189021098772,34.12998220090551,36.1336066905313,32.95974813029239,32.686120114811295,28.430249771372488,29.394159451030298,30.77398856237365,30.810803673020434,34.37217555237113,34.92973148990442,37.1873784363888,41.00185265820642,38.43591810990012,42.821101067765056,41.472655311344546,44.478499920771895,38.710727633599,35.72711643893125,32.144108364295434,30.34734374804059,27.684934231809045,30.602504304399115,28.09528438549604,31.913653567895103,33.40966069599852,33.355670494868775,37.53025285413307,38.658205489715314,36.244377044202544,38.56942897024367,39.79286056168482,39.34280048645247,42.320639487181474,43.31340218230625,48.17910525538502,48.988753897579016,48.92310485484015,48.54808795530876,45.33817354888097,45.783010555741924,44.57029971527298,43.561633239045406,40.20908078360797,41.894326400740255,36.99701162694706,41.31461727869479,39.21854898434875,33.73140363456526,37.06737413618404,35.65477283967583,33.90615167166301,31.48213357731917,34.1929252632977,33.98744594497972,39.133386945813825,42.1053683546644,44.650635806454375,47.63623262179122,46.826622974158234,51.976053181565355,49.1772849522202,50.31281320037457,46.16048875777174,45.10034017640804,46.68132778367304,47.35354045891359,44.311973041002055,46.872381967950155,46.45942563508243,48.296507598102195,43.76429824140223,44.976311348082284,43.619901801035006,43.096857395933924,41.67703733637487,40.66444126195359,41.98196911322092,42.31740942370734,38.88946640725343,41.68495106653183,39.97319298074298,41.24972036915156,43.85308367389046,44.666700720162076,40.75660937069288,39.818720826030024,43.72626682969901,41.34518314686083,36.01455810024591,40.153442632940624,44.32293411846835,38.721702500450604,38.03178383073916,41.72313835457188,40.936556986433295,36.60350546282019,38.73064772125614,36.76769756075488,42.71520918967714,38.60936408984697,40.930607193880164,44.83310324110325,48.24998033215298,51.99339228776982,53.14649066565016,54.56488256791809,53.64609697661928,55.95770656228476,53.70478496576985,56.41667444544342,54.34619736936979,48.854380643899624,51.81981603891776,53.32289545101509,48.705780685846484,46.92067909643665,48.57018584085275,46.78933495547888,43.33097376162157,42.3346019025071,42.11552551562724,46.027629750267394,49.348469976609515,50.05946473298914,53.18291736314412,56.57330128358681,54.43029140126577,50.04450429431939,52.75328370561803,54.1593874527702,49.4432651858073,47.986554352177116,51.12769868312008,49.80772456091746,46.189311654677795,50.17596099287142,51.38947171591239,47.41164037604605,47.30459174863143,50.849139749240415,48.84642239467629,51.53620356457753,50.46964390120106,52.96601309467095,51.01998895393446,45.774481892661484,48.29847599983838,48.49804598235627,45.30961054147721,43.27640304367183,47.60532634856993,45.51780081918233,40.32557675910449,41.773121901860684,45.04759957470516,42.08466550517307,38.40665367744857,34.732501219906126,35.452496253064965,31.634551249825403,35.13517014780082,31.313099839738587,34.06382903595533,32.51997078468079,28.5120533246211,29.316337687831652,29.50597084284887,30.94191846043134,35.15750204242734,33.536136747115144,36.934741035799625,34.42641182337583,36.1752087986951,41.255246898887044,43.79909745027179,44.419117438448026,39.05242672568308,40.25061067800405,43.00360797913234,39.573624291914484,36.67794336220429,40.52154710047735,43.02414050090058,43.87266645162026,46.56799143629312,48.90703895210313],[35.88898108600043,34.27685851382055,34.66507817897574,29.501803527840348,31.663356068758677,33.90924409134235,33.84489715837579,38.1423835416794,36.33604573454618,34.71393079017117,36.95842988026987,41.062917128800414,38.354753324702436,34.83848297123553,39.18921109862734,40.943308041356836,37.12347479027347,39.20697238854206,37.70945207608467,41.12616076194414,41.75089567083645,45.1873088544777,43.786641417517494,41.640874951926165,40.68078698651613,37.58559959558057,38.42661835224141,36.45452329847192,39.75906686982508,42.26667496599893,44.453794125686976,46.58515593834516,50.12488669268089,51.90947529688468,49.463359368984456,45.91259496583179,46.88405047747427,44.02466966960781,42.736693893858714,48.271804358754004,42.978941857648,43.71792250882383,47.86397630958325,46.2041185463451,45.72436343931263,43.47548051759395,47.2126620207685,48.852032622823444,45.146201893098,48.10535401808655,52.183382413800864,50.673796926456,55.17213158846702,51.120735677611556,57.50586664816675,57.37965720637994,52.85277503396386,54.313882312383384,58.226904395612145,55.472803798701975,51.811701810348815,54.0226818036906,53.36262448720778,52.57562967850636,49.94000585945719,48.1002497973318,43.88190387107668,43.49027800945967,39.21670166717954,39.346929136602405,36.70839407910137,37.79408599206184,41.59668368983032,43.503765623008384,45.52517910962738,51.20043199419105,50.36268241439073,54.53991743761209,53.41046586278898,53.64312840986977,53.899566530495484,53.01196602849375,52.69656002750962,52.31648602337068,48.179864147339096,47.80417505088564,48.2740067904596,51.34486321165366,48.67194918618642,53.28668364054811,49.990045915235974,52.228838286151216,49.989424956682704,49.76788716650309,45.699311708938176,46.17764238690388,42.474510752120814,46.72920226041175,45.67829316186608,49.34104572191855,48.85845209990287,49.649667209067054,49.05275852584338,48.40329801636415,49.94173569468589,45.588603419567605,48.58187494237112,46.36281468857119,43.386737996677205,44.62832803618025,40.27119705717761,38.81611021424371,36.38320140154656,33.96269913347772,33.40063251645653,30.5747957434654,32.24861964592928,29.066393831503394,32.23679722248159,34.23857903393613,30.98185698263465,30.944368448999192,27.035681297529404,28.377737216331457,30.093810747220928,30.800607704827392,34.65985432888912,35.46390200644058,38.07332217241113,41.792618956161085,39.789754141657646,44.262543101106914,42.81052854947312,45.423785985552165,39.68931949399478,36.37550529657576,33.372572870897706,30.96285896336783,27.88961809926192,30.468536639112852,27.726770337869063,31.316898394171616,32.397102595990106,32.62036744777264,36.80186551507237,37.78204916566295,35.50065923102359,37.8111959400898,39.3537033231619,38.76222066137819,42.065479410918655,42.69135037303424,47.72166815459699,48.2886240163327,47.908113530648656,47.68378194948387,44.41280172115773,45.27433524011564,43.7842225833422,43.376444442229015,40.13034565028418,41.32818101958,36.73281888547989,41.041556595165616,39.41830004895808,34.21339619710963,37.94976446986474,36.88500806572594,35.418935793867995,32.59124037386837,35.22323566138639,34.500989879779645,39.4780309964935,42.24855173475594,44.496978910250846,47.44120789430552,46.20127743100064,51.51533099541395,48.86757498838094,50.27674377491091,46.34805690301893,45.45342940793755,47.38619067304762,48.206062661235514,44.97918804951177,47.192070665135454,46.317943001071505,48.47009426510537,43.93271479672215,45.57222096901102,44.58938178258304,43.89562933672073,42.92603730782387,42.0712896616975,43.59605074196397,44.26154662111592,40.756670737223004,43.65016453111206,42.052824080918114,42.89992982800219,45.81204637103629,46.22978650271225,42.21075242327156,41.7648448328039,45.60007314358515,42.84297384705421,37.84935106434774,42.1804781029925,45.97651381344801,40.1955478327471,39.843480543993586,43.514287746401,42.265075289518684,38.06839862507539,40.608561050753465,38.90269874371053,44.864736233327136,41.35606954250405,43.430072455941044,47.28386815847066,50.962562337746505,54.753515847919985,55.94554921761847,57.08506000153209,56.14471642762815,58.33955859391457,55.846933863893476,58.77867833863043,56.967737095862184,51.28890044911493,54.1415384843525,56.005833284246485,51.45947104271968,49.42850401553025,51.08095241578806,49.71674846482893,46.185733796042356,44.789866008164765,44.471587819162124,47.93424516918222,51.364218607044855,52.005766770732315,54.8512085511045,58.18947632782306,55.74067590850843,51.55154033190465,54.319135639718844,55.367919629164426,50.562959814653894,49.40519057315585,52.37065170998723,50.821251265066,47.427390072113695,51.660828829348034,52.62786695719912,48.493810252980076,48.83097971143466,52.52054655161008,50.726468431131266,53.461579418329066,52.32942156892727,55.10329999482574,53.276365293505584,47.89844682997769,50.5708651352588,51.06189733201807,47.84999004754679,45.76337803508554,50.392112493217184,48.512863235507275,43.16920404700286,44.63571628194549,48.23011746253332,45.38876343155412,41.610421208172134,37.730631903062914,38.90607726786438,34.963603214555434,38.20951012058415,34.01521498957026,36.433958593713626,34.37067347772624,30.758083255378505,31.711363567749245,32.34016887072553,33.57471469574084,37.5652847039282,35.338041815139334,38.607996771427466,35.57642170931081,37.35137538096485,42.15769587025298,44.72857204289817,44.92607710432074,39.643239312093556,41.0609835689761,43.43235800111641,39.68760749162028,37.11461436848934,40.95915129347928,43.05498524447265,43.888844246736895,46.59920411219194,48.91634502677839],[31.400955008335913,29.628585927135497,29.824249015145785,24.576050968611565,26.662776586586563,28.889973571086063,28.831001055986874,33.167599230149015,31.502263012835435,30.02740990661478,32.44413315802112,36.464798410347385,33.804169037633066,30.471358883879212,35.019427105434836,36.682091377618704,32.9400328946542,35.37720503592273,34.340652425878034,37.618479461167915,38.656166430101486,42.155421234723136,41.1017908963946,39.08838932760355,37.702616065097786,34.454996348978824,34.857235426429135,32.58259683072869,35.73663960692724,37.99291776161852,40.50097840496986,42.27044018766319,45.911665670763384,47.92859710143093,45.38370799104652,41.96913662102052,42.64773032293387,40.10339066712725,38.83742240545655,44.483431522444384,39.44749730897025,40.34170440560026,44.591068288988275,43.07303478510854,42.98640301813912,40.82639634329582,44.727689681718765,45.978463938832235,41.98539693080554,45.18722377775508,49.053274980453786,47.35725702491159,51.86445446826347,47.572956575266396,53.92616987861377,54.15104227604511,49.647195375439,50.8396021035757,54.95767858296251,52.52567333409042,48.78093219190601,50.931561430873096,50.09399292468469,49.729412472565535,47.053366825141765,44.85524603488792,40.85117013848922,40.107135711893505,36.041964385433154,35.89956483152024,33.48403688929297,34.939398948851434,38.47055089042541,40.57488537400127,42.162396879034276,48.01204635463943,46.98626639780805,51.03304328520688,49.79087090776381,50.08500241705146,50.019090870848444,49.11107466971166,48.46728918845585,48.13784008333311,44.109927833442086,43.687824184008484,44.41700113318063,47.25765665213651,44.91074352746737,49.45979492919303,46.30879704078468,48.768125349603814,46.35807022821911,45.89351544403243,41.67243426529322,42.251946856578385,38.39951496324135,42.41818057035799,41.16750390512884,44.65675067438427,44.25979399163142,44.82869779996477,44.39360651034687,43.567560257159975,45.208277826849304,40.751336904639885,43.73796463563437,41.599665117799184,38.53366156259623,39.69324874582719,35.28260953142873,33.91939670122699,31.44765689444551,29.165851093135885,28.782799487595444,26.096292018265665,28.120904308005606,25.21647348278106,28.890401859335565,30.49092255530603,27.16556266450347,26.7621609265514,22.69038353212252,23.727699107593708,25.219758972952302,25.923734466736708,29.64476431932409,30.573321877573342,33.234906342137876,37.063306351900074,35.187707440311556,39.722303740956974,38.459032745934834,40.91325596519163,35.26018246182612,31.79764070297211,28.82914579680329,26.443446443445087,23.451788272944675,26.230861242235882,24.09682025374266,28.03344777950031,28.83876976501074,28.673795366668386,32.92004693100053,33.62808814369631,31.16368756793802,33.2544881208949,34.61751338791384,33.910425772264986,37.11119378523338,37.77271790126338,42.77368790497387,43.41143738692176,43.11757611642208,42.85894979601979,39.63862785978464,40.40539039690883,39.08586304371983,38.584960988061106,35.525557734949686,36.97361708166371,32.50290921185242,36.967690775903215,35.485843465334696,30.449067969460295,34.10806635839434,33.40754181898065,31.669387568012006,28.661049541958683,31.08289569086634,30.243547096471072,35.237428663788165,37.88829822452995,40.09880637010206,42.893891935252,41.691517305305915,47.01664468967088,44.54036923099787,45.84479375550796,42.10121773394388,40.883268773356214,43.05757780363735,44.084078390240514,40.89312018517595,43.368297449723634,42.56787335461825,44.986410295334956,40.82646774965022,42.22854861765117,41.30530533949864,40.243631077693756,39.18332270827341,38.11884281173146,39.54228311782416,40.19049997816074,36.4706006770705,39.26150316945393,37.5795256029933,38.192423670156266,41.169805727246136,41.406837196118886,37.36152530651825,37.09699199587314,40.889922058259366,38.00253372462244,33.159002269479615,37.591994652978954,41.24578550982146,35.45870944063516,35.292470966983124,39.00421322454227,37.621675504323576,33.556188740028794,36.34076799645761,34.647555010833294,40.6457863448283,37.401771110991284,39.19548334092169,43.04961179559545,46.8262681542252,50.74022977423608,51.829625121131656,52.74272052246639,51.75505498645801,53.86643479234563,51.25439378196256,54.325310440588325,52.663706843059146,46.882069983678285,49.703836309493006,51.81903500148008,47.320253386985435,45.15987212930934,46.92462500516126,45.83113920168315,42.18018741516661,40.6596714165263,40.10595803160994,43.37847477800138,46.81740419329565,47.3452887950214,50.08318686627802,53.371938719355285,50.84605519817668,46.71308355388971,49.4777729544111,50.42659733867419,45.60323627874892,44.52888521272046,47.47606124441445,45.8982467645074,42.567044277972975,46.888119537512054,47.84249062857413,43.73271318563214,44.1883992476665,47.920287160968236,46.15334646336646,48.833244351510835,47.619265408075684,50.51422668069987,48.807340422306716,43.34466624379787,46.05132748455204,46.74045202155815,43.54496026414548,41.38909432574802,46.21850260264266,44.54068440962198,39.0829415523532,40.55929727233331,44.425065534307215,41.73334331309927,37.86379057792861,33.828405842317814,35.50120869576747,31.51674474358107,34.56422548963719,30.05030257989531,32.12651103310775,29.828649591809285,26.481683486613353,27.39699578080831,28.326381631301963,29.377115760268396,33.17642347952949,30.642133687206794,33.892512250244586,30.688550075247704,32.41598189400407,37.160302796976715,39.74018966388245,39.891077773907604,34.609392268567426,36.10398661456407,38.463046841161,34.66651211789159,32.18011006553721,36.11419569633372,38.205975770499144,39.049012467335814,41.80616353506137,44.12530552789931],[32.63187727261365,30.494257449516066,30.11120843832746,25.196337188456717,26.52144379595417,29.80410772007185,29.679290704754905,34.0871149956411,33.02193868564112,31.467775899331347,34.20006533694147,38.08959320695123,34.934668371326474,32.059427002627025,36.585389158169086,37.86587382828794,33.800860248873235,36.18706735592803,34.89501307116461,37.779299681774276,38.69971576023401,41.80970292908824,40.72549415196224,38.40320019614181,37.03424557102388,34.18709129898653,34.529510133253545,32.62394649183297,36.1107644279689,38.54593779378796,41.6550357765381,43.162624339553105,47.050745454031485,48.91596268906001,46.03560403311619,42.458105104844776,42.89956500872949,39.92457923990392,38.270750060200044,43.51353993912797,38.37615351229025,39.7240825813719,43.805861936075345,41.88886705081748,41.617078195208826,39.092314964223945,42.86163149065859,44.39256670206687,40.27424693978474,43.00872405317003,47.07508592092177,45.7345466278141,50.424263795497545,46.38708861370302,52.86119784746135,53.02327237982401,48.632131420998256,50.20773466822064,54.28997246353788,51.61009209679002,48.2373669940204,50.82027172966805,50.30695922992113,49.92990831876485,46.93944788928213,44.87482721458836,41.31594150303567,40.829100809666464,37.07758525226759,37.32878121368768,35.02455775854698,36.782520320133465,40.111752419536835,41.78851104106448,43.29751732094031,49.05312587683752,47.55077697952173,51.70386082055113,50.101631251333664,49.976731279286334,49.874176351190876,48.504601946011434,48.04051050708052,47.283399541998065,43.11081807362848,43.189012960344556,44.11571072845896,47.309348431446374,45.16113814509936,50.09181512789689,47.21573899362667,49.98438572562339,47.770405226366286,47.37430146925997,43.188047911443284,44.15526157884944,40.323004163951325,43.909528587887706,42.58048037319122,46.03081114204659,45.156069214171474,45.404624994756354,44.637761389843,43.534824175625836,44.58489602331711,40.141211726658184,42.87416713116063,40.37141932556163,37.51949174567164,39.10038306691239,34.9594039943191,33.60853135477153,31.73323504025625,29.13380531218461,29.345622131020924,26.350740215959647,28.449125496667527,25.191362774745965,29.27367868643371,31.280894154419624,28.20972630704348,27.92154169897593,23.507375905831417,24.474109918203226,26.006923681655845,25.761034883042512,29.658582456598904,29.947357489484492,32.260645840919395,35.903579433505875,33.51250773149715,37.90557913599426,36.4036678287117,39.298233917722456,33.50608878807209,30.47868165823892,27.103636065862307,25.059501895848406,22.312098655261895,25.194735443728806,22.742973363011473,26.685257121674287,28.181634818129716,28.02027564966982,32.190332216386665,33.36520917662988,30.95761453073045,33.39587279399803,34.66206806806944,34.45902534943487,37.529922233381285,38.794138719024325,43.64468369707843,44.84516950308616,44.59979146969787,43.9343841789644,40.59134735892879,40.9055797636249,39.550635881289516,38.431075419914755,34.91077080315555,36.56374487728047,31.597200162870212,35.909606793921554,33.82514092513414,28.386285626839314,31.800106623581836,30.57572464396139,28.875637731150718,26.256969019983153,28.94616102557903,28.61864067780816,33.747069119735585,36.72153226597843,39.277568017753005,42.32147550064119,41.57415624583803,46.67977799481558,43.80179875936472,44.949817713302124,40.76773522839497,39.80241075381229,41.38033714376179,42.077213237431046,38.98502251268054,41.51906934043259,41.0882923431864,43.01393571862128,38.61265653970602,39.79690634248015,38.549263057083,37.8629401771448,36.55901576409953,35.583142731527396,37.00835143050965,37.5607176536811,34.14120974936379,37.08992302820241,35.62604602427777,36.736708675799804,39.68637510091635,40.4060806241305,36.43065219365072,35.881806268411886,39.920083643190694,37.492772278632145,32.39129805847885,36.778572388800576,40.89512353004194,35.41819632145198,35.06731110551012,38.910652704122825,38.00544629697337,33.94663087352408,36.45525689790722,34.34630887076924,40.397709784548866,36.34950169533568,38.198555023207625,42.20329404286367,45.554987399453495,49.64418676878315,50.39205269940937,51.46117749102675,50.26662001982888,52.327639911741485,49.79499890923668,52.509451373372585,50.756029934711265,45.055684919736464,47.77219770142664,49.52639801023099,45.00798184826509,42.92295738882851,44.427274948512945,43.089613947587246,39.66971747456943,38.107291559321624,38.04283931711912,41.54874498261282,44.992378177243936,45.88773657700158,48.828699492064636,52.368680967499586,49.999047095692696,45.71159686932956,48.74197739171025,50.00540358610512,45.20142003324471,44.060551241916286,47.36090992167177,46.06521778197471,42.59254789156918,46.75991891000188,48.07873260856124,44.2324101768598,44.29052335034589,47.87905442579334,45.79667975498423,48.24182193750229,46.8461268118114,49.44359481916184,47.881536414194244,42.447238531285926,44.73307774850486,45.307534067901784,42.24746543867214,39.81604371679206,44.30840561261976,42.69435713643499,37.312553128055626,38.40782885156515,42.08154567625494,39.51142151083991,35.70041132766342,31.996885537140823,33.308879793403925,29.655457339925377,33.18361169488524,28.98453401624548,31.188365541999648,29.497725382865042,25.818696230882445,26.21843890350194,26.554394459931835,27.459230991852035,31.524620712008453,29.38883320217423,32.506326235243556,29.82209531332644,31.98684756335397,36.89878715698995,39.67438446702962,40.109025815488955,34.810468991339164,36.46386210191467,39.209028851981735,35.47387984642227,33.07248396559358,37.18971149460803,39.59273771328565,40.359725313339524,43.09548479262642,45.4135922340796],[36.845793119900215,34.69865387694303,34.172719047069826,29.078252412368716,30.022349511866498,33.10755297991361,32.5056763431966,36.71819700103776,35.36139628768626,33.25615431881673,35.719569286245,39.765418677998134,36.296289392893854,33.174191664117934,37.331458447889325,38.66362431791346,34.41053285499506,36.22062326988109,34.2701339982874,37.32835043339599,37.718611997485226,40.77714479095583,39.29214663366147,36.87119117401444,35.99349127116349,33.2810945862725,34.21852021885265,32.723205935223426,36.42068910896757,39.2795892679027,41.925818757763594,43.998693477866645,47.75074472924226,49.19451719773509,46.430982245326085,42.63042079217953,43.55606207001585,40.10247091157022,38.4908501827351,43.6548866431061,38.17618994009959,39.180271992689605,43.15185582580083,41.15929160989156,40.45714223060025,37.96772899404953,41.594848052341575,43.471792742218625,39.79496062488884,42.44512370866188,46.67780671860193,45.41974869543659,50.011092802880825,46.22673310613375,52.69700325621121,52.38759361027719,47.93938180760792,49.781882442100745,53.58971829023087,50.560133938502226,47.22204763278253,49.828816643314184,49.52451759697623,48.64551746174365,45.70903511068082,44.07209037840229,40.258368267659215,40.227796229557164,36.2609083497613,36.942632189633635,34.384840170514494,35.807205537648706,39.381895529093775,40.71348707489733,42.73122301308456,48.246589819323454,46.920863988746355,51.25186931908175,49.78489936669289,49.5900835500364,49.96122101574117,48.70647093640434,48.76286765138149,48.0415077032294,43.739041092368616,43.73985661011802,44.19934303883088,47.71206747371114,45.0524693265694,50.087753801598026,47.03590847398205,49.560257479485195,47.62924824061978,47.61145028407203,43.67724692523352,44.6369395689737,41.06000055834837,44.899469518730406,43.954813251326,47.833297848349794,46.57575769464605,47.35253840582463,46.151798641745685,45.570875930099824,46.52912938217265,42.45377826677912,45.435558790068576,43.03415538493614,40.496417997723334,41.918032003328655,37.905853181296884,36.01661419477289,34.105304964632495,31.121037101191938,30.796058959716913,27.533634489948643,28.9592702311974,25.303123705456468,28.628891582699946,31.200733887307692,28.26877227669762,28.58068021248699,24.432028143437392,26.022002442712694,28.158576517355574,28.090460712591486,32.561681440493864,32.61223061675455,35.06744855036243,38.329921833478856,36.24030886495011,40.54304067101369,38.61810613849297,41.40114140491973,35.561969989995895,32.563495220515776,29.70604190154854,27.109646748690707,23.98238171689892,26.297160341427567,22.918433139893107,26.289472652265598,27.949168530399067,28.398626222573988,32.45294819348745,33.970056911007944,31.901551821815907,34.71917599789352,36.42754367562408,36.512715457790684,39.953123951453755,41.208672431512035,46.15924898017019,47.48106418441829,46.82196941632216,46.02359239719957,42.47333556904875,43.00438197915698,41.165402753513355,40.38410442154807,36.54604137240996,37.560546312995136,32.55143981285334,36.60279610309106,34.59440616413431,29.17680595379649,32.9449239060587,31.5651242313602,30.493732933361866,27.79946750675637,30.665844485962786,30.11008698300696,35.037327082983985,38.04646021525152,40.49432812040483,43.7596884116263,42.8054616236301,47.919739804393735,44.817624588199685,46.25115093214892,41.91846009714374,41.57757881827195,42.982821012725,43.47871505637669,40.22569671907289,42.16562683213331,41.387840527431244,43.15360798257122,38.344820367879585,40.05564654193069,39.01659446982835,38.64187979140636,37.818181891793955,37.270931696958,39.02015470185538,39.941823725957086,36.842044808966484,40.06062095291768,38.990697307135925,40.04726394510662,43.306439517851636,43.98576383195802,39.97828692887584,39.75142513533105,43.86841193115358,41.408652770536925,36.50977462383992,41.00480118049399,45.049985313257636,39.62225547629148,39.45924739905536,43.33194229443279,42.28882561021913,38.353071400697374,41.0267071218484,38.92904719732749,44.98639178305384,40.944909623343975,42.669695129192725,46.70094022769779,49.97239564059212,54.17319168019984,54.74549436429708,55.70365986390623,54.34534595453802,56.24860533892487,53.55553868836878,56.16471289340503,54.600747323883006,48.83084093269146,51.30917627861155,53.08164989455623,48.65373845770039,46.40822190308846,47.6280033890944,46.49165698657844,43.27682207968952,41.25734274487831,41.58674213089872,44.754781290534474,48.30489549898541,49.46275935894037,52.24508585946261,55.929459371377085,53.34458142108083,49.185274907038576,52.490129054313485,53.59427624254709,48.725162543362025,47.87985255576678,51.232147582775106,49.89177538150736,46.57416375242679,50.86806161065551,52.17024157194677,48.33677079576731,48.57804576493993,52.20003931527038,50.123066281854406,52.454850398110835,50.88076185868363,53.51300546881406,52.163904886523675,46.665247723610946,48.77048353332857,49.51238493736091,46.54482562976951,43.892541964541714,48.34367110543339,46.946832379663256,41.553308805928985,42.361653899391044,46.09127267145843,43.714165033165365,39.91725148594564,36.346556762365076,37.64552398625536,34.15372897321333,37.79017928978419,33.600104677694056,35.65450102775163,33.90613509872721,30.38076921770618,30.62492900981467,30.907683503023893,31.548879529129827,35.55757350921079,33.15351608689449,35.96356586150652,33.12555020692705,35.65492342064804,40.32822325286405,43.26967242294067,43.40264433373327,38.22837858451701,40.2389415608636,42.79113870925535,38.733808945428486,36.78220222816938,40.98810487928631,43.115364566555634,43.7997667220667,46.51339389589281,48.798322030887014],[36.463448476308585,34.230724124626015,33.486181884416034,28.23819521838309,28.843206301683235,31.694919058784112,30.735367980277754,34.78873214043024,33.29620773093032,30.894589185253786,33.2461847508069,37.328639094173894,33.70388657513713,30.524632586131204,34.52613022312447,35.85014078280836,31.54993949609441,33.19951535207106,31.144294192520434,34.268678004579066,34.614673171589494,37.746191656831336,36.25595479886335,33.91737234629667,33.04066696221635,30.236070212963575,31.26877432626264,29.794444352825426,33.49771519193699,36.46013828948547,38.94824192243094,41.185030035869914,44.88349280635334,46.20865486766514,43.49297373840118,39.653295339644224,40.734788740556255,37.22247492629783,35.7062549844725,40.96300879401515,35.449157460001864,36.263151518253146,40.270158074447075,38.397855026629074,37.740462840550165,35.41155326050359,39.10418606191873,40.85682887042153,37.275140669287254,40.15347671298145,44.29909896403778,42.8844607117321,47.38896856129163,43.545647946833654,49.9754157306692,49.62164818423375,45.12807599681425,46.88887834891583,50.67319489712607,47.690184660219366,44.244394276858955,46.75854494787101,46.41687776507501,45.51189110280983,42.62496474136246,40.9896315673241,37.09737129720566,37.09187351791795,33.09565359355125,33.84743120249744,31.268155071587213,32.69719796041326,36.25510819237876,37.52980717285416,39.591167468445335,45.076679365629886,43.79054454520944,48.136424405503625,46.72488239779611,46.58390884035287,47.049086494024415,45.923057577141165,46.07515196727603,45.47540530405816,41.18103744883873,41.02237489486408,41.31965820324766,44.84227902889946,42.03857859031573,47.05345397250368,43.954831583189026,46.435915258716406,44.56075826291695,44.62793144143434,40.769953762523,41.765475194367795,38.27987514170234,42.14822985446698,41.350105409274434,45.40703048656839,43.97348567582495,45.00295932888154,43.63748374986339,43.3372313939368,44.36865882104377,40.48746225982097,43.669981088996046,41.450763134067074,39.05512464256399,40.25041856214078,36.281583951566326,34.06128562314011,32.05834966177655,28.918280248385834,28.281371394002782,24.949953696463776,26.1181929213291,22.40386323524407,25.51870210214198,28.165475997905265,25.275135191406335,25.765309568649133,21.74165709722513,23.583948864277552,26.008936666854805,26.113964452303694,30.887075597069945,30.892102007634303,33.5173332418342,36.59439891919207,34.88660404507363,39.186869919968814,37.13360280343749,39.652056586128644,33.85930090912463,30.71380879715669,28.31525375307834,25.288830934571852,21.91720058199096,23.945003483535395,20.38811048670235,23.633099793951548,25.094795899721095,25.69109477403123,29.72640642295126,31.230698217920473,29.270053637258677,32.17050835529319,34.07955443635004,34.257817945951146,37.89582571914298,39.12322688621257,44.11417559747699,45.532734958055336,44.62744253906215,43.73771889597406,40.092578825883784,40.74969094572476,38.68523835490678,38.1436900718963,34.26191115148452,34.973131482931514,30.0849174297412,34.08967712557654,32.330962364975875,27.116121079024644,31.12429891277897,30.018360401111586,29.164622860695058,26.202500924267195,28.993670680486648,28.106441521835126,32.88641197507878,35.78715433784884,38.08347545511304,41.36586402190372,40.23749616274309,45.388553501423836,42.30578007130677,43.88607207541679,39.64557327051157,39.47489982273484,41.02214705313257,41.584804776145056,38.226134683153795,39.94108376011821,38.91398257995673,40.862688846303605,36.108552942510734,38.03989054740843,37.25570752853716,36.73362666060516,36.219403695491856,35.794566700091565,37.69637054275513,38.88416725895052,35.79929098570551,39.11214164211832,38.2346758538603,39.01203824217341,42.546682891310745,43.00507832547257,38.95606948207722,39.13349735936728,43.2411171826899,40.62376969280003,36.03048963005629,40.6670428324734,44.49663917228336,39.101398309660254,39.230158159723594,43.1245209875871,41.850076764465264,38.128716727498016,41.103739468370186,39.06673608348243,45.12144005995484,41.3737010342631,42.78803697807316,46.81133132727113,50.13862321607488,54.48135480495069,54.89550816985567,55.58068012576959,54.097569141814326,55.82818078686459,52.91993220393906,55.605827574111586,54.305914522699,48.400622166592846,50.69593703241294,52.725618014437565,48.403090016711545,45.93171200386588,47.07063897118076,46.32739373037653,43.13007357815666,40.69259432932026,41.05582882205466,43.80164801879334,47.432594567075604,48.64564720817509,51.20262230123142,54.9194875819049,52.10435867788077,48.10494004058246,51.57257696756075,52.4486479754242,47.526524846403134,46.97108362462628,50.30283914460923,48.88600073946569,45.75637691473939,50.20763688829483,51.448802444429745,47.63547275185591,48.133476136908044,51.81108371495197,49.796245079209605,52.02188424200969,50.27936862198,53.05650106118666,51.93825068422954,46.338662622059594,48.380968420802496,49.40637849756958,46.50705615765566,43.67887341201357,48.28987667913331,47.19546885306098,41.70355937405918,42.35966682232901,46.362679192368184,44.21934765003898,40.35977656632099,36.731025094913186,38.43773651089649,34.994338945857436,38.500795236233415,34.06296904240505,35.734833595744185,33.736286176336264,30.564813547931763,30.69834188885009,31.216044794772966,31.539228565631884,35.325855848912596,32.45855221470704,35.030445993596295,31.907823186851058,34.63228164540944,39.04617395883051,42.09020546727307,41.94041267462888,36.88744989178687,39.20293334061752,41.55903145824511,37.24398999818387,35.709968401826835,40.00312467004813,41.88657939107456,42.508056965084,45.21852972927465,47.46855815661992],[34.356685906162646,31.852140903519896,30.68360419849095,25.720083021953194,25.82798249840475,29.419314234116545,28.547426524859574,32.696576010594235,31.77538074475158,29.578474612097278,32.29795202250013,36.17610907493854,32.35634456545982,29.686836374701784,33.8640347199481,34.85441421692138,30.44833406829089,32.422466089756746,30.651451594533615,33.33695745613874,33.98392590407205,36.86249986831613,35.66588599979262,33.205343676851875,31.95759000887,29.347036095425057,29.899445873432803,28.419731338469727,32.212170389446825,35.02963003895722,38.24368515701055,39.925933775187666,43.876998332787075,45.34616328761934,42.318647917745785,38.51494348638611,39.1204741192634,35.61244534372181,33.805857287494945,38.843045504036255,33.48940820548186,34.84074374481278,38.80594426899966,36.730970618256194,36.27534928467539,33.700626369202595,37.423857738205015,39.08048049700765,35.10994099419123,37.79091584893606,41.93643568028325,40.663427078198886,45.34409091882037,41.48499905267274,47.99204472599145,47.91821468478074,43.53710519952597,45.35715497575287,49.305035282274766,46.41714621522992,43.19387861432433,45.97832392752088,45.71235617102252,45.17373916862268,42.03444503916497,40.18042326545986,36.819473118666245,36.66821473917109,33.09957477270003,33.83631881325761,31.555977011433644,33.47143368327483,36.64392371010482,37.83352824940951,39.441339850497755,45.00226131830906,43.23857990836926,47.522112955826756,45.76256791607828,45.376804322634136,45.50145479611497,43.99573164607613,43.9493827085431,43.05507683547116,38.74552772341864,38.95614139775709,39.676960593613316,43.23354318427217,40.90569021801558,46.11080538713517,43.34197455159537,46.21433621014717,44.301634698097295,44.170650949226975,40.19479913094729,41.49462908202402,37.88331925239572,41.24666435626166,40.176790908046534,43.971718983213314,42.38249066354062,42.916941578556774,41.53401591988472,40.79514788975946,41.48223966390905,37.45875098589273,40.38982944959212,37.92656510630983,35.56180783852654,37.052013740476355,33.2229079662669,31.199862480493774,29.62463192643194,26.43811922141756,26.492728877252937,23.098868105934606,24.712908251966933,21.021909716789583,24.961350824141952,27.49000555884112,24.73199862242302,24.910565037082286,20.503935744142314,21.921703995887277,24.068274352328476,23.41859966932662,28.0890547297012,27.748440394807645,30.108464734342842,33.19432795311414,31.108188632908725,35.360760961891145,33.32783072508916,36.11760685021707,30.26379737216859,27.352493936985343,24.552921331147108,21.905392456591276,18.84779515809204,21.218810826253343,17.985458894696116,21.6353216740524,23.46230601473757,23.65158814985649,27.696585735943206,29.31045579432639,27.1962751831847,30.124118578070355,31.735986417210402,32.13549113505433,35.5123826825308,37.170051889556824,41.99678995985217,43.782858991457765,43.08216430794544,41.94970611621825,38.32155629997752,38.55110742198516,36.69699069128633,35.56789540127492,31.535591723758607,32.71484330270103,27.52370569470611,31.57740416042302,29.401889238472446,23.92687148986327,27.636026739254497,26.358872971501167,25.231593994345157,22.459741523092642,25.322177486600335,24.81706768231359,29.781917298145693,32.86311147485518,35.432202842115004,38.757633249076534,38.040542895440176,43.03471361509303,39.81439769787585,41.1435820374313,36.71333005104714,36.38655308714576,37.67022407015631,38.15326338976365,34.91932448290595,36.98890309075931,36.37904900464403,38.147280035021915,33.515793113188984,35.00614079972281,33.945722621252635,33.42103246069417,32.545706640945404,31.967145302438826,33.747098801230855,34.77547343402644,31.721627366690832,35.03893141378057,34.19269746646398,35.20634822517272,38.679670365913175,39.38640566682702,35.39332404017244,35.399575498989876,39.61558476375209,37.264405351679,32.56165423321392,37.16165796088548,41.21943854019125,36.05011159648302,36.105737261100444,40.06523402304792,39.07728028492116,35.42601824079888,38.271492239948635,35.996198973265564,42.04343406945198,37.94195191556167,39.26862121090657,43.353673829498014,46.45067497494999,50.912639128217265,51.10037611950754,51.80568754910924,50.20963224833043,51.900685604101206,49.03581445841817,51.57011654194809,50.237980756560106,44.36813274389653,46.62588399527386,48.5274733978487,44.20447243936703,41.75862529956564,42.83600416318767,42.023396504785374,38.888026691277624,36.4496456911894,36.95143570302715,39.82752928675871,43.439007119398454,44.78281538714172,47.46040248490495,51.27993590496213,48.594610613062606,44.49153413448825,48.0596010046188,49.138091613122484,44.24940741842095,43.61610087011345,47.148310714126666,45.92126990788545,42.7009182318241,47.039757986273834,48.51137530232745,44.89247072286767,45.13930563574057,48.716560763432604,46.51952796752189,48.5846574204045,46.73567405421142,49.35520502418748,48.34069605881236,42.76176130725705,44.57370222943202,45.57669894833727,42.76875974438291,39.785989706297826,44.25948483519326,43.26566175547017,37.804757497252005,38.26174651375154,42.24451061757501,40.231270561161104,36.390255509429004,32.912273230626425,34.6234619011719,31.39276152897325,35.04223521630063,30.70524387622257,32.28732731314015,30.603762647793435,27.37422081155399,27.16759338456102,27.449158886042987,27.598613743262398,31.433843264788223,28.74228514780099,31.25219664667393,28.45111394980337,31.368567898900043,35.90000840444573,39.02993305555019,39.12872256661355,34.054344552781565,36.41433883852596,39.05734217400395,34.867847609847345,33.324509116821325,37.72286075156257,39.870326773509355,40.47070885443391,43.184403182489966,45.43511883924836],[38.36555355569718,35.922631047264666,34.86999483921918,30.111791476140812,30.31512195222176,34.20396723971967,33.48818507059675,37.67286671879955,36.833655291008505,34.64566598324679,37.33888052043247,41.228341358499954,37.33292009517438,34.660870764085956,38.72431751136258,39.68591443884911,35.188135789738645,36.89734818355305,34.71792339341311,37.34211609279588,37.59511473298195,40.219332416269964,38.714505599569215,36.01039361539086,35.17675021272113,32.92337454604436,33.80966769357086,32.72825175286455,36.689720585464975,39.698590474753885,42.85861381767972,44.68583364057375,48.62715985922054,49.895158263856636,46.841181439684284,42.915039329576786,43.62946643977707,39.77453606956433,37.81115973020024,42.50797273767485,36.970428818222004,38.391708763588504,42.1411032943395,39.76659666149157,38.86111629412158,36.028889424906005,39.47557343367126,41.63946452481205,37.90518178380589,40.050819440614276,44.464460798925714,43.575151754312444,48.30270468130716,44.81857118809132,51.35514304148722,50.95771275554925,46.651693449129226,48.87138286102409,52.602660856169635,49.335754704038955,46.39774785357263,49.41227859860259,49.436102445772306,48.546213229015684,45.32312418152398,43.84526181589022,40.51679598852379,40.74516663691084,37.141117689129814,38.19260674461745,35.7837657660965,37.48168304497973,40.802877145140364,41.70467455730515,43.61881902003392,48.98526828163465,47.20524236629306,51.6058270392729,49.80331961934379,49.19783477217272,49.55346150559468,47.8681200401585,48.13690971655056,47.01537241027291,42.60600554533208,43.08359134429853,43.69545046301981,47.53321679826845,45.06584735833397,50.427580453961816,47.6635462353569,50.46042415980439,48.740381862339724,48.796795834742085,44.93997525341513,46.25670787222628,42.73894304711051,46.148398462699426,45.16103888668211,49.00073517683641,47.279449793505634,47.79889332667688,46.25817999364753,45.4813860528546,45.869046684913364,41.904101301090414,44.65510882496986,41.96625854570867,39.71579978816964,41.468783692878624,37.78060513854475,35.85191741559389,34.50757993307791,31.25371832045039,31.422594655608364,27.9403833695659,29.349562395847013,25.443528578533073,29.033979012978982,31.94984521725343,29.32972806322522,29.755460598134835,25.429238619186847,26.943051765121837,29.106300834817702,28.22674077997591,32.82649055935956,32.26988573707147,34.38443077772269,37.35280763391339,34.8835374508196,38.96846229013079,36.769595490764964,39.902324528471304,34.01705955056622,31.492542797122113,28.426628957264377,26.120217879654852,23.275007000768717,25.52053305559156,21.8319563121567,25.02990315272314,27.361170379098784,27.851478105789525,31.722244371637643,33.69168683342504,31.748710858141546,34.86901652558326,36.50141407916876,37.07475222806194,40.39051247470705,42.1732603271438,46.95052014786872,48.78928296036347,48.13443400386013,46.956365376773796,43.30963610112514,43.44111081768189,41.54352825560466,40.236311369227494,35.99054401498283,37.11273528139101,31.71677947153842,35.515859719816746,32.960673481786536,27.257259406011983,30.76133315646373,28.86239105555379,27.975632408551593,25.712122401095293,28.79921171098316,28.71066614671893,33.63197029183545,36.905131733358836,39.63372239400673,43.117966254057045,42.583138112951175,47.43523812222972,43.96097701801246,45.26066648168465,40.54123278551995,40.52611491937957,41.32660339856764,41.47400836149733,38.331043673579856,40.22588479666844,39.780677352076616,41.02514416042676,35.98277606487192,37.51938442180233,36.20032431385007,36.242497146740696,35.26945796560854,34.8923480222933,36.68065587994456,37.57877603043981,34.87326932840568,38.244846710841756,37.483412810330265,38.948160294181044,42.21213968128849,43.29628217097384,39.39893274163887,39.00997055781947,43.30300027202256,41.26706179614566,36.27994024051224,40.69888295080693,45.06875262624716,39.99242698159378,39.736261046444724,43.684816236993534,43.021766480418215,39.18416478451934,41.65605159986941,39.23423523959123,45.26456104522544,40.61213501199174,42.28554805106486,46.406674645337276,49.25571536877539,53.62375217197275,53.81992641186072,54.85176324457957,53.26931380007536,55.061164998084664,52.41229633870364,54.6621352306413,53.09058187005063,47.419906570300036,49.71449869123972,51.17008952344492,46.795570936696656,44.587549731026506,45.49034130491428,44.22380781954542,41.305776505999305,39.13622296145633,39.99395083856196,43.233652390682394,46.774612934579196,48.30829686271806,51.20604667036558,55.11710626803075,52.64452441688091,48.41260567192912,51.98714836638899,53.32569240928704,48.50234035861477,47.67337873386832,51.3211897113268,50.2340213624841,46.8586124783343,51.01186760753644,52.62468734122458,49.060957580657835,49.00193813602355,52.4782612957717,50.142830902399815,52.21009572418432,50.4355967758618,52.797262209070354,51.65720604162818,46.21338856000878,47.875563748567856,48.57304965712874,45.78728785317732,42.853046809951636,46.95783861170428,45.72307012632029,40.45244517858195,40.822889567467506,44.381823775358264,42.226257297883485,38.53006222047678,35.34141389198747,36.3662227795905,33.288057798314036,37.2740984749255,33.396578097019656,35.42695784457427,34.1921074314716,30.539698673261846,30.289566883143728,30.070983530418474,30.459721239809618,34.572552134142335,32.476181614552985,35.03231786888564,32.675951106061305,35.614929990750944,40.3096702351614,43.4200548333654,43.74807888046468,38.64521931886111,40.83964684394248,43.66491999907846,39.64985904628445,37.877682547225426,42.214675446994534,44.545118905113824,45.15320826825928,47.833099789165274,50.09826742604705],[40.64503828159427,38.16631655986956,36.95314757243512,32.019753033787545,31.88659049910046,35.502196225565314,34.35673551620615,38.3237061665413,37.260293831771456,34.634803213640986,37.09844750359587,41.05843608750017,36.92478345596002,34.12401405960214,37.844194434540405,38.807663970600096,34.20860794383413,35.45647589113792,32.81478396076067,35.52980751509905,35.402020955455626,37.98584621494397,36.21809557862347,33.488575489145994,32.998234672114066,30.8375470569577,32.15659286398026,31.38703626844839,35.45324163528197,38.75549825432677,41.54472451779543,43.77850785496309,47.59033108770723,48.5241215549638,45.5746241885223,41.51074113095136,42.59609488458375,38.42409626496419,36.541326419165685,41.19023262137168,35.445692717745466,36.54256856160464,40.20584175238843,37.84433397872805,36.66910799339747,33.950973714128914,37.3167821732662,39.64710853203568,36.28083916432486,38.47776498101293,42.93653224978378,42.0239442296228,46.621000880374446,43.291312997902544,49.77713826828576,49.04822275145032,44.69872933181825,47.05126754448849,50.5756979993044,47.108083272195,44.16019721392702,47.145945002564396,47.30047405566506,46.075363834136745,42.913003356297644,41.73203933593954,38.24682384328362,38.79748462133207,35.099988746796335,36.47489298643698,33.93627579162894,35.429231512111905,38.84090155289804,39.45515318376428,41.69178868787301,46.84803181546075,45.18560958526498,49.686729301827945,47.99346761384776,47.358559167296185,48.06461812436213,46.518345302087525,47.17124287926219,46.13748258170331,41.67419187696737,42.02291370785086,42.25130417063257,46.28374967088418,43.43892380893898,48.83777876481721,45.96810611211948,48.587330659443566,47.092779683526025,47.428857389464675,43.79424118206215,45.13152003337685,41.84192929935163,45.37433215071474,44.695679269859056,48.85547473654298,46.81742049079177,47.776878015483156,45.89465323615165,45.58231164837041,45.95293682639708,42.33567170750771,45.33022255359298,42.82094617220541,40.836693687766356,42.35778294180065,38.78135122542418,36.38401515547069,34.97887495489499,31.458308429338004,31.161882669111915,27.534213886452783,28.38157100394158,24.255486750020996,27.199758941929886,30.496894965352947,28.049476873072614,28.926006903906668,24.893125513885852,26.853309349328647,29.461606177916064,28.77922923527924,33.802609530117465,33.106375601135746,35.38221818702244,38.01286231929109,35.95930360097734,39.966393370396524,37.46650976403428,40.35266008061043,34.51273388686971,31.943030163733376,29.471220247575307,26.636913094272188,23.490699579586835,25.19394194828178,20.88268258936997,23.541669433173084,25.884634100038287,26.847081151660582,30.57022956160767,32.745043549676204,31.097661276810058,34.46312396482252,36.44595315290738,37.235086524368526,40.841150658799265,42.59348986617412,47.42384977832562,49.375046343021786,48.3591757261976,47.05906974266569,43.262380903910326,43.581658708713725,41.29277476235723,40.31733796433086,35.8905894984674,36.451721814601804,31.14188759608823,34.70490580294305,32.35156323467183,26.842613863175746,30.666302868613666,28.85469607461349,28.50752201021008,26.06843478394325,29.17191387207903,28.755166114925327,33.41135956838974,36.61715198874396,39.1764781590541,42.78413457618554,42.037980095837334,46.88166746379226,43.294360238789885,44.84261766854843,40.1077184955823,40.57301235334704,41.34422212317452,41.40557534165139,38.12274264643373,39.49680583544499,38.693436430841395,39.9219885944409,34.66527651198862,36.67140850133267,35.649709461642125,35.80788954184972,35.33388531383871,35.299162283364176,37.36000556246539,38.63191401795322,36.130989536134415,39.68295626911592,39.24836933882998,40.49890622820627,44.07655610706273,44.99370561335531,41.06690697103822,41.08818362831521,45.39640467887781,43.242309500200506,38.550352718005946,43.097605161632956,47.28530719432778,42.244939563172935,42.251741395406086,46.220406184681664,45.34016628341319,41.67944624026984,44.41208748118047,42.0486947675659,48.08170645651596,43.638138670863746,45.072115773680814,49.193503597530174,52.051408288472,56.5495555555774,56.57723533965668,57.3840343079561,55.650874821513874,57.255625778758294,54.39557130983056,56.63820443688051,55.332118689541296,49.55511629866067,51.609414297691714,53.23393451619581,48.98554069699693,46.560999025120076,47.26164680771293,46.35565796043467,43.563913737711644,40.90918095627056,41.97943885828893,44.76631879156191,48.39895914163261,50.094798637154184,52.760994628494934,56.756438844152505,54.03367745969353,49.97896003983384,53.78194952095999,54.89306632381598,50.01485255895895,49.51300054376197,53.16052842408776,52.00070676815685,48.82161305188459,53.12956638667889,54.68673276878414,51.135268849055734,51.327974740892195,54.85666035164528,52.571686217920565,54.52614404046922,52.56911390854914,55.03877210331924,54.140973316611976,48.61057098133393,50.155311215814095,51.10858493822515,48.4082979582659,45.27547583415181,49.4569218485784,48.51211136492699,43.18355461872379,43.33550520387465,47.082928553161494,45.163854568333754,41.444168462846456,38.273990515257836,39.547971858980844,36.55399616293923,40.483186065497776,36.44696882308826,38.18832258799089,36.7527646965004,33.38046180603651,33.03472581159644,32.963583643262524,33.05774690049003,36.98778396788121,34.48158903217672,36.737584453594,34.136208943376424,37.343732332544114,41.74697892239874,44.987496803955324,44.99010476781634,40.03949453337024,42.57505663717108,45.176287577374936,40.864214577477966,39.55177709031804,43.966646159406544,46.011811524121825,46.543103304790684,49.203904207591755,51.4258705284955],[38.57652628594483,35.88447222306493,34.206114476175244,29.331645565534085,28.515474468278747,32.220900556016176,30.7157560622213,34.494647270320456,33.62998868308924,30.807125442454684,33.33947084602193,37.17577970461837,32.766234443111124,30.25518860583014,33.86570794699308,34.59368465910587,29.894679857959794,31.15384620676299,28.59057562094224,31.08156150345087,31.128149370538054,33.65191262192165,32.10373785948413,29.40188800268677,28.610250504275164,26.442871043771568,27.541070814632953,26.798814554352532,30.92747045696717,34.249822377581644,37.31722243419727,39.37038571269929,43.27012133204851,44.16802540101407,41.08030355091895,37.00577425320733,37.960954123324754,33.73456444674944,31.780577115749125,36.42704939855624,30.735115351573004,31.95753389964483,35.66665486454283,33.33327889868455,32.388632068226535,29.712482591376247,33.23863335735417,35.30259421858156,31.74931868637431,34.17027687427649,38.51350996797982,37.455612229355935,42.074292842477384,38.613693512618624,45.11625876538712,44.5528722096699,40.199643659860435,42.45757971882334,46.09508270962176,42.78317918756268,39.81131440654141,42.84970760173389,42.97957711275397,42.00500001938623,38.73772183264101,37.36974341117436,34.14709036497735,34.60262727697265,31.17368212931495,32.60409256190616,30.26178837653743,32.09879205939218,35.20481345695807,35.71521208579225,37.66678400241551,42.846999010420795,40.91528214575765,45.38012513995249,43.527597906858574,42.81468750824036,43.38923215604803,41.76383451269086,42.38152294955107,41.322768345027626,36.860669046146946,37.237162926995545,37.55035487209311,41.60148062235573,38.905433059781544,44.390750936867896,41.68556997193157,44.51396912336374,43.04551435796229,43.33571122948128,39.719875700268496,41.28834754747727,38.037884715754416,41.25688304274254,40.57801797792889,44.75704430772751,42.43196158328275,43.378358822388876,41.30308525827204,41.0599761152953,41.316785330651186,37.86528221587582,40.948465525192525,38.53711843162115,36.7542943941783,38.15561116914626,34.740871116005444,32.068532872955025,30.831321366415093,27.11575096550695,26.869282326264642,23.14373588969926,23.919566736629335,19.735523481669762,22.958882247045455,26.268186931288877,23.995653125062358,24.894131132796335,20.839028302733187,22.823276988830557,25.582215565351838,24.6414213179793,29.914526181380207,28.951980230602537,31.257381970118498,33.63503599918549,31.862956733707165,35.818026166504616,33.18425555366643,35.8742477930927,30.079299787699007,27.478601471239465,25.39803143454981,22.25312140978813,19.018619757541884,20.487230778802157,16.064774897486394,18.806305726340202,21.188545722201276,22.088610698483304,25.78679722673942,28.03001274427063,26.434651875364157,29.91765858729814,31.954380701847743,32.99870251129281,36.654482229409496,38.620057019375416,43.363869526532866,45.63433357981576,44.46289271379919,42.91746072612527,39.043578035243854,39.24902070794879,36.831502009392196,35.79057942894062,31.23515273837679,31.703241715827993,26.356988294912878,29.886884666134947,27.59066598565717,22.173383493071416,26.150847775988588,24.618679031079555,24.40062827144608,21.71325406664405,24.751856619640716,24.128764496785532,28.690059744704154,31.86453407112076,34.39738141193275,38.042969816358394,37.33854310457833,42.12297355587546,38.48936594339536,40.060539727295506,35.336854355989345,35.90888851514642,36.714302446076196,36.83039113418593,33.48272342317957,34.80611959943209,33.94170993838418,35.32868426771537,30.229167531216977,32.23934632008956,31.387846342700882,31.310510841221113,31.020172636494294,31.04113597315701,33.221941605031276,34.74062773726463,32.27235107958966,35.9200446099106,35.738654436931,36.75136076692058,40.60962260043263,41.375893249677226,37.45862396890231,37.88296732942596,42.198890416186714,40.01005261456509,35.675404787471095,40.3274789772726,44.33845255768116,39.498468464410344,39.81121763897458,43.80315920421356,42.80698863482881,39.466834934217864,42.46023399632873,40.07122772225616,46.04790430419838,41.82513579201426,42.82924760987046,46.94002119632881,49.74381436274627,54.445310400156146,54.17964839269454,54.656245816588886,52.7311278434655,54.103171458170884,51.015536899158135,53.28007916309048,52.285922462234765,46.38376795083582,48.19217878302887,50.08003412013339,45.977968143280904,43.2961910844512,43.88466957973988,43.445440058677576,40.70092242636379,37.54456641952461,38.69893085606632,41.0115742724658,44.71719930460511,46.52727502955807,48.96859261998872,53.03187607957093,50.11459782720932,46.21690422975908,50.24298214150704,51.18229111498613,46.28381854764025,46.087992104626025,49.79402399316532,48.651706860040456,45.666636538515576,50.07331787898932,51.66938045015815,48.26662357724281,48.62730966817496,52.14892558401987,49.85914180460403,51.59672706185339,49.39770613940189,51.95248501103451,51.38509357152881,45.77640789679252,47.12709772895878,48.40999685642575,45.850224187188594,42.45420422287842,46.74938627265055,46.22672689870398,40.82455293623965,40.705206235312204,44.76936867301098,43.20622948273053,39.43971488833369,36.2862123429611,38.06825134474596,35.24736292661925,39.032794414250915,34.781845058752836,36.000069051391925,34.441920689838405,31.50671800867359,30.86852676177574,30.972179395450038,30.5920066833863,34.219918491606606,31.2648932874806,33.16436601145972,30.42048742859256,33.93781356288658,38.04746216772808,41.43214876382346,41.23713215916603,36.464362548063356,39.3609417153804,41.86856863014298,37.36714773228527,36.553058316034836,41.08177400093017,42.97386681482723,43.420233734603656,46.062659531490254,48.22535696579125],[38.968134653672614,36.18400794616509,34.420558010186134,29.95678615855662,29.10187230585241,33.57312577181635,32.48041250049652,36.451721815277665,36.0889640587497,33.66746566025873,36.50355628760521,40.18051180810592,35.79444877484814,33.64153574723717,37.465411683622236,37.99711176452738,33.28949586907667,34.82562038412691,32.46637995862353,34.58529923340537,34.75750051214376,36.94410039788038,35.52088728860029,32.62341589934172,31.725701511419224,29.914492359026408,30.68387246441795,30.032017945813255,34.20020656571173,37.35387681421493,40.983443482663475,42.568954758879094,46.65471010477404,47.6932942700192,44.37036330068134,40.34908323716718,40.875279570683716,36.642419591038674,34.37557520209337,38.61525143347557,33.07522719037383,34.86211646734497,38.39320188202661,35.72858143649867,34.74095931041141,31.668846007747515,35.00687142373416,37.28358953271825,33.477752767081505,35.29533413411455,39.78894949562406,39.13990892023273,43.94994893017427,40.69597245183395,47.2516459210155,46.817848860202716,42.64967797519178,45.142886418663096,48.814178160691455,45.422589481667245,42.82776639843642,46.18387451625335,46.48561641139254,45.67925284122156,42.19808848060668,40.811480633697855,38.038040774489964,38.47239615687178,35.33808596181061,36.747640012641995,34.572942230418235,36.611900566989206,39.547530020745505,39.99915525041086,41.70790300571523,46.88496752605388,44.62544389260791,49.04414681829845,46.912086565548876,45.92449370394677,46.251477216145744,44.1978770686976,44.69224562145872,43.2426030164863,38.76276026042069,39.63667930859713,40.35356533416384,44.47367764803165,42.20368845942253,47.84144626436321,45.404966941801504,48.48290280920084,46.99644850408699,47.13482281817686,43.419411600194074,45.1349227741083,41.754740616136424,44.65042880782883,43.69456135301469,47.55019429758077,45.24979098022639,45.637342491040165,43.65550921077404,42.85276531634858,42.69698805863045,39.01504700225895,41.65874039018028,38.83858987991601,37.02030972301265,38.91784592500858,35.6410863570347,33.44268667113752,32.66210593004269,29.07123432360924,29.58957523613282,25.916539827651665,27.161153138486416,23.087904832592738,26.86472874939694,30.056052104968998,27.853136380929307,28.43717245685544,24.098052173838294,25.5971251024377,27.898347052807743,26.270005700235586,31.13595698667107,29.90252363530476,31.75868863899835,34.23443580857917,31.707986548233354,35.53328064603689,32.95908870660972,36.21558039319959,30.361193773153264,28.25199241513159,25.380032728075303,23.08263440652572,20.45212828553922,22.373467636599205,18.36744485826858,21.291617337833024,24.194096294881486,24.735340439405213,28.333463475927292,30.730306145932563,28.999652969084416,32.43192242085595,34.07318440268107,35.22114698982121,38.49047603538493,40.794075162120144,45.36429065400947,47.80261949596943,46.99160026202677,45.35931426195658,41.5890690551449,41.371845046066895,39.29480121988965,37.59352155753915,32.93923758973075,33.99020403432474,28.323715367260796,31.79504350448138,28.842934522426926,23.01949470714178,26.382923580354923,24.17883245179881,23.657382859033806,21.64163990211945,24.875356003073794,25.041410449349314,29.80272276697811,33.24953598354486,36.15175123470768,39.83871273864347,39.64453996889897,44.207271240840704,40.396087095862185,41.632950932280075,36.61462812768756,37.03328233656934,37.31953483414201,37.175556701660476,34.07944272749621,35.79820204088002,35.5529314552016,36.41520723376245,31.245027144504963,32.69640565913034,31.277903590416013,31.58523934783905,30.68262667221352,30.565208379307062,32.51443326438592,33.6235907442921,31.344474674987104,34.938081645343075,34.679377728719324,36.28719616378832,39.78557021041529,41.0677067592375,37.28002809543864,37.10373748629946,41.52754516389057,39.794006487161326,35.05690841772236,39.48542706200307,43.937438298701935,39.29505474640754,39.22196684018829,43.22793453609009,42.73525863427719,39.23450959067312,41.76724807292616,39.11045255154082,45.053600830488406,40.14521387557036,41.432326683540424,45.599412038556174,48.07150953489622,52.721665942450834,52.387770789926165,53.21003694561084,51.291598371752194,52.79559963102208,49.99457432669249,51.957209029149105,50.64502612607466,44.96257236524695,46.886092454892044,48.282600031889345,44.084730762136545,41.69672187425434,42.20767474248722,41.22060585644611,38.62415510957765,35.890085274379466,37.303672411695075,40.19020655364123,43.77739989349298,45.729034562873025,48.519757434039896,52.666465105051294,50.11559210088647,45.97514119578571,49.94634769432261,51.31069675808324,46.518688962841225,45.9680630968618,49.8728704568887,48.9833110215584,45.740208921960225,49.863928496322856,51.72481688508683,48.47763918651503,48.34989099189795,51.70882303616174,49.18896248837386,50.87783173715784,48.75484716411808,50.9716700554773,50.26953888494722,44.81769565930197,45.966002095817124,46.89762989003852,44.37873874878664,41.01052254680928,44.90865595912999,44.15600213837377,38.94464928224147,38.72149677806687,42.37985805771564,40.710337450352796,37.076792475340504,34.23329157302098,35.43183959838201,32.84759064289065,36.967540448765654,33.18123880637436,34.76602412252699,33.81378920601136,30.44181359506784,29.59605378137618,29.12798881351531,28.920995179001725,32.849016212044,30.642223826784825,32.67804731319045,30.602881818381857,34.09776292109263,38.53462869431317,41.878515518343434,42.1688499923123,37.294969007952474,39.911345040183974,42.827117576657564,38.69209553170913,37.46544250131865,41.96164865436396,44.28005179010252,44.76132278578896,47.387816544792955,49.58053894087349],[41.855468987322155,39.18242109267765,37.6472750069112,33.22761346705737,32.681496698546106,37.17388244694938,36.25234737965958,40.295352828214064,39.85850171968373,37.48317037954997,40.26756637047975,44.008537455697855,39.686225785380316,37.39958838480954,41.20746432268067,41.823992701153514,37.11422026907129,38.51484664538324,35.940711169128946,38.13155814508404,38.05499545616166,40.15441020828685,38.50705627566357,35.51037193409415,34.92823347458841,33.27071933694575,34.288366855242195,33.79512448765411,37.999527831406375,41.23606307235123,44.704145815796984,46.44544286667155,50.48391345793175,51.433597647696935,48.16257397179478,44.09140476913572,44.73997496040639,40.38012136932382,38.09907234482742,42.187641908757975,36.562547553492145,38.28640910134161,41.692373728055365,38.90732625940838,37.62361687541523,34.456680973127796,37.57623897666191,40.17936262974137,36.60618405616185,38.09376706627859,42.72214909000854,42.30030407957216,47.08628687900982,44.071942109711856,50.60052680324074,49.94199403668575,45.821822745584676,48.52263495887803,52.03263659204595,48.41288500278319,45.95907629448525,49.38307947804278,49.82503691422726,48.755324337470356,45.29109818246552,44.15532607577634,41.289404627092004,41.930528536668014,38.67540610438653,40.20325412505552,37.89580456854146,39.71385340581498,42.82485725189942,43.184668818800304,45.140523346365555,50.21432705463782,48.05707028635114,52.5387444146872,50.45885892950699,49.41002765899372,49.9078297885596,47.82793636955682,48.49225522876254,46.972633972179864,42.46610223842366,43.417470903647654,44.02354807715991,48.25400785972705,45.844934125807704,51.50750669989883,49.00519816639037,51.96184082934201,50.557823762728404,50.80593219856254,47.14294729009915,48.77901288966864,45.430632494719674,48.47591894990069,47.572679636737185,51.46235473343577,49.20211562583284,49.62213394872099,47.63414007653282,46.82803067942549,46.604190499882215,42.91790310815755,45.466800053018986,42.54664100314219,40.71796392248422,42.736750656565135,39.46225226819491,37.38110775997755,36.599448098868564,33.05462365353936,33.53515695843479,29.864581085440605,31.016426548462118,26.880892690060097,30.358105334985662,33.70764037545477,31.49007472223409,32.18570516621835,27.901324534462287,29.46910405343265,31.756919275025446,30.204671977160093,34.963379956801084,33.77190454762628,35.53874256430571,38.036816422969075,35.30674867208577,39.05200677268523,36.46661545635093,39.88976408538156,34.0570553766455,32.109804891322625,29.066973452412885,26.985534776166908,24.440239724658372,26.344072962028637,22.20908404335735,24.852804377376298,27.873614918609096,28.592400374975895,32.111827927751655,34.611117521831105,32.95008234381744,36.41184862905841,38.06829855538658,39.183901814864186,42.43227594716554,44.68730643547187,49.27613303174119,51.61512067155838,50.857548963055216,49.29698559238059,45.54023201500302,45.3495706493716,43.279655915008746,41.57489039511572,36.89978343779585,37.91037147873623,32.225153867646576,35.57702674163657,32.5089651829999,26.661205396386904,29.871255837034223,27.353485576232615,26.938920348115932,25.240302595762508,28.52299530894744,28.878827387044616,33.5892838743925,37.08585056044236,40.025946630304546,43.75310681702966,43.59180441472292,48.11281887896971,44.2242438306629,45.45666446046501,40.34470000340837,40.878882593028266,40.960443798833786,40.652343365124686,37.63150971821036,39.23847210261136,39.0530634933377,39.62795321801876,34.24653928846146,35.74550145509404,34.18913557738395,34.8430151513908,33.8824483123194,33.85845167145632,35.76179301229978,36.73247041181526,34.62395887562158,38.17663114027978,37.87229522818462,39.72747810470556,43.0273410998938,44.50246263659071,40.76402287376285,40.29853876202623,44.72737950716943,43.13044257629604,38.179456078519564,42.4803996979877,47.09913608498315,42.42869273050096,42.12771068831635,46.108013934334664,45.778249999570946,42.096055334825294,44.38583664003498,41.692639718870424,47.630492069461674,42.43509912689093,44.01766355069963,48.186352115806486,50.561713844977895,55.08169733191023,54.855150184102875,55.933286142643546,54.09342413572996,55.71449366652847,53.09454726366618,54.91478774185081,53.39788312684923,47.873106873155514,49.883831504477584,50.98222329272617,46.736183735396615,44.556986401219866,45.019530057915375,43.67418109444746,41.18484267524676,38.76314581829649,40.294731752028994,43.47280524599639,46.98625415063103,48.97229959748416,51.91757511834661,56.06728739550344,53.67333897242416,49.44388173175421,53.33039914431091,54.85179795515143,50.102578908723544,49.374285620478794,53.292380591055505,52.44944608332693,49.08665953227841,53.096448483287624,54.99303214201272,51.71617222293259,51.414424611674136,54.729695451006215,52.162918411371635,53.92571410779142,51.92431439361622,53.997501197585464,53.12971803134126,47.78076958633512,48.9313031089437,49.613394143141946,47.065573847262584,43.82792513002648,47.504925875185016,46.50260396872633,41.430436871305936,41.26716946105339,44.59772452537504,42.75051577804742,39.225795963086014,36.524952767882525,37.22639264273043,34.66935501215515,38.95776317071932,35.464675232226575,37.41398798857624,36.67660782021224,33.00236795658098,32.26478420312687,31.54496664666421,31.616557737499072,35.73056815335199,33.92707559276088,36.096075032547496,34.2334623147027,37.602105083604165,42.18315146847947,45.459726377172096,45.89307851527327,40.95644336675368,43.38165567650096,46.38271993091498,42.3721763937389,40.89246201456432,45.32007198641169,47.748287782168624,48.25805089798252,50.87500457261433,53.09563758718477],[39.29622197515878,36.620651381767495,35.14203967756536,30.959497361264173,30.59039429536597,35.36113655833979,34.7948557474128,38.98440537345098,38.803635154235806,36.81982188228968,39.810304893523906,43.44601988934414,39.32528641352921,37.21401534134422,41.29994635340496,41.880475477279866,37.27730067607228,39.10104169142264,36.98294415797183,39.06898432623088,39.382335374431946,41.533169256553506,40.175229861151756,37.23798937556121,36.283413158822356,34.51226682057973,35.0906986459181,34.29359891288934,38.377111262611166,41.32186679092027,45.154314711544906,46.48617844658045,50.643816392212024,51.90418751194186,48.52967722189546,44.60396504372641,44.88487371344789,40.85037800474877,38.50633800403971,42.64274817648592,37.25877504864914,39.28142588577335,42.77890301770367,40.02324600611203,39.06313569837562,35.837987545743125,39.06670651566074,41.42081489739239,37.47358200409587,38.979126000560214,43.50569072286136,43.05812409875386,47.94976222653229,44.75298540002157,51.30896330046938,51.011541481648926,46.93654226364931,49.46079629734912,53.185770024650374,49.81265689470427,47.342379895863296,50.76848288212666,51.061335703794036,50.3545565967131,46.83913719031901,45.38368079244045,42.684437862575216,42.99655505171128,39.8594496077523,41.083980136655676,38.92466258281919,40.96456303709842,43.951784515021565,44.574785092568646,46.1909643603995,51.46262002905336,49.176050160011364,53.54552371486069,51.35493163721574,50.34360429628693,50.48228602469359,48.280061808302136,48.55422510374192,46.963239760428955,42.532739463776366,43.59276091440881,44.574051764407415,48.59308731942459,46.56837550733056,52.181548425451076,49.80095514453331,52.94252546921778,51.327080729630126,51.30462141513878,47.445767302637385,49.088658996623685,45.5458764269117,48.42175753651197,47.233495459041386,50.80986369773109,48.81459755157769,48.81226813536801,47.131672848103335,45.8917304478786,45.671212706977066,41.68340579890493,43.99274076081022,40.91860986634019,38.86722774961615,41.09424373055679,37.75961702138661,36.106749742852614,35.425168652855106,32.13195390940449,33.060122506136246,29.545823347973023,31.19657282261252,27.29867747441756,31.361804099522217,34.336511645567725,31.992636725739946,32.27991352484128,27.76951156117447,28.9162434386762,30.78855293000333,29.00770449635449,33.351328440012374,32.246390799537984,33.83472980285077,36.611163566797686,33.512739539436424,37.30904835026378,35.020895647125485,38.64899141693668,32.807857242303996,30.919299181374594,27.35372706031591,25.794407614835837,23.58004624803262,25.95040031130462,22.469635830226938,25.6070002435623,28.552110764744345,28.810571734036753,32.44295597228793,34.722846931843726,32.798389922159444,36.015373437420976,37.333482454794684,38.276929397676874,41.2346696925586,43.547646534983514,48.049247041266504,50.33025115841428,49.891621971005954,48.41123440102614,44.80044040830844,44.41241198324817,42.70663177192594,40.68188344318558,36.19179866545863,37.726106103334615,32.00050878449087,35.559994191375516,32.3404937362263,26.373289654737665,29.25229802392408,26.72136649708284,25.750203290608628,24.219308790582666,27.442529820135015,28.100633104742496,33.02311861879424,36.55417790981092,39.6349134603674,43.224999804214036,43.26925993634336,47.77570285217839,44.014639761916605,45.00460200237558,39.942086930163576,40.00602604439153,40.13061285882558,39.928109495176386,37.05109032113577,39.17098189356178,39.32033990854278,39.96334772164953,34.87150236032161,35.892659198815444,34.08242463193791,34.55050252321087,33.11132669892287,32.733810655590645,34.36213585888505,34.97933101384091,32.67017539963355,36.04238493526914,35.450771643426656,37.49287413880854,40.5115312099034,42.13793052679762,38.447274225132695,37.63154733879798,42.04066186216066,40.577698477207655,35.40906151891815,39.57990544252792,44.34962060538111,39.71206838609749,39.20158033529244,43.15560305327401,43.038535030811516,39.26228881226665,41.32237747050876,38.55712242618332,44.46248382597814,39.07693159206794,40.81457313409237,44.97859610593391,47.315218116121926,51.74650845974056,51.62211602225463,52.8653919913947,51.137188619571404,52.901178959819944,50.45565757548784,52.28057951567452,50.55118952333951,45.11631536689738,47.323836305965656,48.292726351444266,43.943691518633464,41.94296417955074,42.58717777814589,40.9512065423755,38.345691199891476,36.34039109113557,37.67701827155117,41.23571710442977,44.65990178200948,46.504150381422704,49.641341021226616,53.71629873669394,51.542481393799214,47.1708945570439,50.86527717161445,52.58362054613098,47.89785914014695,46.900858114625215,50.826971739664515,50.06736509174655,46.55453547018915,50.413683828123176,52.37656145668857,49.13246411412934,48.6041609449636,51.853678824628965,49.23256365512335,51.05559820053849,49.18980307702743,51.15985949671592,50.11724377429627,44.85069870714055,46.06694297662462,46.548730748055796,43.949602785407514,40.85799263216991,44.46236129898111,43.2489897459075,38.2285715319955,38.220423924214145,41.40995617841418,39.393820324127425,35.887048233142075,33.19470474115723,33.71728897867449,31.13764859889374,35.47715444644652,32.13640252426758,34.273005753961506,33.75393426394948,29.889370602413205,29.158779916172456,28.277324114305717,28.550647064778737,32.795889256576636,31.362255901503946,33.754055916450525,32.14844574897151,35.29667150896638,40.093625829708344,43.25642608623013,43.980195969290406,38.95085649812115,41.09674985131853,44.29434970792621,40.562134538352566,38.73881955960275,43.088735354594725,45.759631097654136,46.32437072105827,48.943460565146644,51.18441390777522],[39.51751015568621,37.115001077281626,36.18168563235172,31.909257845310208,32.31934429200747,36.75171099327735,36.52837446897515,40.87357564408908,40.43006421918018,38.67340532787086,41.59123276304827,45.342724033288725,41.572965399523596,39.155589694692694,43.41537261175877,44.26472485571195,39.80270154314758,41.75818745287162,39.75831561635673,42.142796182669535,42.502173297328135,44.90388975637702,43.48337262284028,40.63744151796528,39.73581712977149,37.71827598958116,38.364324502816025,37.31166022589309,41.27344426148435,44.112920101791424,47.684128286485254,49.13386386634633,53.211649265069205,54.63883355970589,51.42110624733282,47.55904138288771,47.92767583121075,44.129297882033114,41.94910772433739,46.34571120106505,40.95756128346651,42.79168620409,46.41628469131082,43.80497662786825,42.869558288373675,39.750813300297295,43.030031244204125,45.35842380789598,41.44357846615588,43.09570916577209,47.59862293840943,47.04554236648755,51.90709138627235,48.58851276259175,55.14607939187625,54.86917241862903,50.716467188599196,53.10207617098711,56.86518776019378,53.54445365338317,50.88834743084478,54.13171723937334,54.268263044341936,53.50307824596521,50.13142263844188,48.630077870223296,45.60008159872804,45.79160736243191,42.368044020977386,43.36620063899803,41.06457673318292,42.885175071660555,46.11677896932236,47.02217441423142,48.76626535342094,54.158735275427716,52.16198489824449,56.52348431254942,54.52462780491817,53.73407015913527,53.877270886997714,51.87199839908837,51.99328636890039,50.57539650770338,46.18430450517534,47.036453647962,47.982670207087054,51.832974806132604,49.71035822142189,55.16226755158978,52.58595772014416,55.56045271209208,53.79033128709581,53.70122124216275,49.740288964374855,51.123698549099494,47.47878607043224,50.6677963636469,49.426842835824765,52.94329217608263,51.35877092665842,51.37649218596504,50.01442797228235,48.72334802219528,48.82276350562608,44.61787352053652,46.93373508436024,43.90214094060838,41.54830517538697,43.7385835193353,40.148665687715344,38.75775410112831,37.750278125266604,34.71325248207102,35.48711046563767,32.11049205870511,33.898297489067176,30.105588298103164,34.081320690864366,36.88637623445329,34.28523965914207,34.448586050130444,29.938396289652694,31.04526612195306,32.763796037612565,31.416640482636385,35.49638029567021,34.83178629714571,36.52944416427648,39.6466463283494,36.50081147002231,40.43717723403435,38.428354829243105,42.03188486818643,36.1832982254136,34.08075862416903,30.316390113142027,28.85171715442045,26.560496640984177,29.155977719417,25.866003774158564,29.170487635545303,31.8246253966942,32.04235116176844,35.84216050326695,37.87344624822902,35.80442048471516,38.81427143866105,40.083272197991214,40.64699328593222,43.575904979387815,45.561477729746954,50.17064684613464,52.03822256184458,51.76994486860373,50.60416818189457,47.102350082092315,46.901976708958095,45.36571513700024,43.533330779673555,39.31326846910527,40.94891720565774,35.36587692209448,39.128021983373564,36.1025124916364,30.177514752972463,33.099228563903196,30.70736444072929,29.48844252585535,27.866752586274856,30.99947992497717,31.560715643197334,36.59508199891614,40.037979217662,43.04109720633897,46.50117251875816,46.37423914418896,51.048017408316774,47.490146751736084,48.486176220162605,43.588829438173484,43.351527159666304,43.757270479621226,43.715529421384645,40.83983244842286,43.10562495296925,43.18155608664857,44.01236446533981,38.97506346490942,40.015247676175626,38.21653378007468,38.563805660007965,37.02456013170266,36.466165437871375,37.949806018997286,38.35953859939232,35.79896671340305,38.97788318895332,38.011610337417565,40.03809630690562,42.79635108296566,44.36206826770425,40.63796413757557,39.55531314419625,43.85262090588156,42.262684959304764,36.86504573811285,40.94080019488677,45.7078880349616,40.811388846220204,40.07453969592347,43.95408268790243,43.82031053237567,39.771413585660724,41.65118160795237,39.03244077640606,44.94987544345004,39.63841186623726,41.748230897519164,45.85696897733157,48.39756872721734,52.56372808191746,52.8488419393844,54.335125630696346,52.88184463253823,54.89098473961416,52.63533068379455,54.60678598334202,52.6175150734489,47.27164421237191,49.77205855495323,50.67525831153828,46.19815521469495,44.411916645532955,45.329489271741686,43.37794006080178,40.58286582260719,39.10942840580939,40.069449387890714,43.97322348653162,47.321838795583226,48.87164624654617,52.14081525184255,56.037602220690204,54.00138036323953,49.5356846628315,52.90510621265192,54.680166568197954,50.01084050777438,48.74150991793435,52.493101006756916,51.63792527490136,47.989767246475154,51.79114909948203,53.61000989545034,50.16978465024763,49.59006699191288,52.87698531333317,50.36196334100929,52.46059376185261,50.891640525841254,52.88947214811586,51.47972717594982,46.28780926714588,47.85015672212716,48.06624176242766,45.28383161119527,42.563927514057255,46.21069013599279,44.56783609273501,39.591071586729626,40.027993562123115,43.011063480387925,40.59324655289304,37.1070124566201,34.247080839293325,34.457475390436976,31.56377859584366,35.83362733854297,32.591061142589524,35.15917605696332,34.56809396738923,30.42527722509836,30.13281608865873,29.323588436815204,30.10939545076046,34.505797530464534,33.32449613500503,36.100825890011144,34.41696590007632,37.128745139969546,42.138478073139794,45.10287660074359,45.93855260261073,40.75147983238591,42.5168844479051,45.704802695555856,42.150625274659234,39.85849109447131,44.05061769158961,46.79804704140077,47.459169042092796,50.10083542718453,52.39117412379953],[36.215308265388074,34.02130219740035,33.52271587606206,29.12845538506787,30.21826188931244,34.24144947644563,34.32989670023126,38.789620041527876,38.15240328917339,36.70937061380637,39.60471666318487,43.38309993844042,40.03235865010203,37.43865696422687,41.9281696240332,42.99403540426133,38.764321909650434,41.04792493828618,39.479408921668764,42.08481771201221,42.775648619063574,45.51113403941903,44.27834674038358,41.65079291128883,40.4870260805785,38.07968760514046,38.500808817051094,36.98647713799196,40.70345890224715,43.26415826632979,46.716930171741055,48.073734876143654,52.09479459249348,53.83577246327877,50.75196324022277,47.06415792373141,47.354967066253614,44.02793783497425,42.05585891369604,46.83683124512151,41.6106916859972,43.32291191758707,47.17486504172851,44.85098936567847,44.25348364321892,41.34429616011725,44.85336460902932,46.823093553754035,42.71847851928869,44.79998341864013,49.120158840556755,48.25077264570382,53.08541168938843,49.415436350911996,55.95892169050973,55.963147817638514,51.71370132394391,53.71943668840924,57.680556526792316,54.67679731772619,51.70779359566697,54.67030101525679,54.48477054281987,53.956132435565586,50.740608838064674,48.92653999175488,45.67078803253024,45.48574786253157,41.907111758899916,42.478618222156044,40.18801045070339,41.986354120070146,45.279156604025516,46.62238039857227,48.21000277022769,53.8267808656594,52.04750372568921,56.2938555028111,54.4548760026079,53.975488585941,53.91215654790838,52.145209563808216,51.880057321202194,50.71985904069333,46.44368613638157,47.00381628775702,48.06214111376344,51.558982931115416,49.5322325909919,54.73295666597892,52.036780487666114,54.947914527959895,52.90441121978678,52.593022672826265,48.460740489562035,49.61515493673326,45.812661859175925,49.16852985409375,47.77681777143032,51.11942739478285,50.02166037497079,49.964526437311115,49.03108969688583,47.62599082851221,48.15804373671649,43.69215650184887,46.05660805531673,43.16718092439551,40.454627773078855,42.50134559466146,38.62097770171271,37.50881017870617,36.14391742897224,33.45049319493761,34.15554132039423,31.023534091037952,33.125223022584436,29.633548480492173,33.80034284440656,36.15955175197527,33.29093258636535,33.122786629318036,28.59264175998463,29.47562167455324,30.906452180182313,29.981690924578096,33.72078516708917,33.56408957419202,35.42956505384045,38.94180070644722,35.90309023094301,40.05811878251768,38.433008665990215,41.854980945008556,36.02734457981364,33.56668309283556,29.679802411354657,28.25622550822261,25.92317344033963,28.837761348744007,26.100872947958614,29.818726161896645,31.98643287092613,31.915425285821264,35.92175945162405,37.51428432611695,35.20038148632451,37.857249180831104,38.97928037433021,39.091962222957136,41.93333264935011,43.5774439660592,48.25581289218655,49.72091512398927,49.64923899035034,48.79940557205826,45.45676876311106,45.4184502416758,44.1442483890544,42.5003649484338,38.68366328577401,40.54395476742064,35.20653202084722,39.28453848188597,36.586351558182194,30.795755822658254,33.790325558535436,31.839589249203627,30.188626167168323,28.252785142023573,31.182545019409684,31.518614247402564,36.688685428301824,39.95397208826325,42.827693022004944,46.05069596217584,45.73276676566941,50.59634956398792,47.385449718954895,48.347690188016834,43.76905678292649,43.01638012684315,43.931791046347456,44.235677592312854,41.33572415225604,43.91782984741137,43.90966765191206,45.20072363334602,40.48597722810268,41.42992214025639,39.74237296048258,39.62820831696463,37.976661475538414,37.09196528090147,38.40955379964525,38.671358671809486,35.65069272208801,38.608728700043606,37.22300964020579,38.996541833284894,41.60869914986118,42.91713688018673,39.120638324916804,37.97933800804241,42.12953639299512,40.260746713284654,34.7938353816079,38.87676650259709,43.47598312688289,38.30009634676189,37.51345537817041,41.33453340150812,41.02214460808671,36.822996722287144,38.73779923103301,36.32531310962429,42.279075715047426,37.35835140446145,39.59655230742268,43.643545938555036,46.537002743656465,50.53375570695572,51.18924230737331,52.687836354893214,51.47853967227645,53.655615717083805,51.44404613232628,53.73444465493096,51.649398860140856,46.24957423420697,49.01182232738208,50.143190225813164,45.56644500095609,43.82384913181094,45.1202864641811,43.1652373551812,40.029684795708576,38.88352123855662,39.264647499059194,43.29976400619874,46.616415517965315,47.77075306941182,51.04601151842663,54.719251931616746,52.70619347891361,48.21697728936201,51.2668610024416,52.962645545306145,48.28584233283452,46.85137860169951,50.378688928278535,49.37135424123485,45.67495906196996,49.51145451844889,51.12717273537261,47.4891416574486,47.01282368601372,50.38790645615365,48.04458624796372,50.39558521016276,49.05915305723716,51.234129726220864,49.557741245716834,44.34783245818142,46.3237049105304,46.48202368142664,43.50948583755101,41.09910618602218,45.031391049040835,43.145622999067925,38.06334265860963,38.97404361766177,42.068078964711866,39.36863602903939,35.77956985995543,32.55084953996762,32.95512803547636,29.63664587242547,33.638156900752065,30.162824673321992,32.87061857763531,31.97066335958714,27.785123768123636,27.920037010445995,27.46787078397542,28.5939714820983,32.98360415882454,31.728594238880678,34.85114455979565,32.909503505910244,35.1735718024574,40.30587264867658,43.078169199414575,43.937192417942214,38.6308561949768,40.09087347037316,43.20020102709756,39.781794759332776,37.13551529199923,41.192631118423016,43.9500742673288,44.7049337682549,47.37984977486561,49.70061036274148],[38.15031935858892,36.07867438142184,35.77186802805707,31.76982253343029,33.076714569638526,37.32579791796555,37.7476676804016,42.26799768212213,41.82609406105336,40.64648956321697,43.623138332542936,47.32310957067579,44.08593117374134,41.59943337799318,46.16690669149712,47.19881439098864,43.00300625662462,45.37291525339733,43.8422512661863,46.35175476585392,47.0387957652785,49.65325909787823,48.40921814976757,45.68811511437687,44.55971981088137,42.29514906862552,42.659724232231426,41.197163704415175,44.9195537813689,47.406707565743396,51.02079529541067,52.21697812781948,56.28734544390724,58.10035227003756,54.95217036729624,51.29280406385678,51.43336505826984,48.11825693510285,46.037719128632595,50.635352934765116,45.469093229056746,47.37155972394445,51.13811518488616,48.67155906846311,47.99700874066014,44.92714287818785,48.307007095009894,50.427354237778886,46.28046110613316,48.04360707482306,52.430812077813876,51.78093970452275,56.67751890414376,53.14065223516588,59.68788048570634,59.71195647347127,55.5488491884587,57.67928434699604,61.62637121008262,58.54813919113353,55.74552629326771,58.83618624869608,58.73214367984692,58.20926084414508,54.92270174000893,53.14793492784817,50.01041008484034,49.85098570057686,46.32597708865507,46.89511564749047,44.62525732259004,46.424389043480396,49.717608877511445,51.05064087821864,52.61332403116315,58.224281798095845,56.36889916453649,60.60858896881208,58.68734364461531,58.10744328266339,57.96764426304521,56.03458172886209,55.71910550399857,54.39501564403428,50.13170374223079,50.89741781210909,52.104211442529994,55.622567906831755,53.744008533677516,58.988767116752385,56.36889480040934,59.33681425626475,57.279024168378875,56.91207896225977,52.73959125093873,53.89590911115759,50.04049375413432,53.31696624650908,51.802525627939104,54.95688377651357,53.97239972367829,53.646086036954635,52.83217836127334,51.14548357061481,51.51826842174364,46.9284280930634,49.01151191908391,45.92711847813566,43.15436532791332,45.458306721842064,41.65449892848138,40.89163535254355,39.710309456541786,37.17185410730556,38.16890935007244,35.107482489933524,37.35253428027486,33.8994202902963,38.167211947248326,40.517225780726825,37.664133708033404,37.40340845510462,32.82788046995968,33.53102665789481,34.7226699134982,33.59012897400545,36.9710532584654,36.78269196171827,38.37997447302401,41.96179427410487,38.527253881401755,42.547340329752345,41.06208637160299,44.75409434734679,38.995074588924474,36.81155030603829,32.55629277210592,31.64094825972865,29.625410192412907,32.666135108099816,30.069263277992537,33.76005700415518,36.11491375630167,35.963751409700784,39.91091254483173,41.5562422056112,39.20273153252292,41.800163949095875,42.729940711482094,42.81837111406892,45.42151183519295,47.137634994022086,51.69968637061004,53.11943429918906,53.29452107634329,52.49236434675616,49.257118452578034,49.05179259440027,47.99109960240159,46.07893202124081,42.30109839667282,44.41450290313408,38.99563266039271,43.01874171350616,40.0664703703006,34.18323207731536,36.836571000300864,34.585680057551414,32.79250404412232,31.275410827578526,34.207353023252246,34.91367031137426,40.099718760715895,43.447780407100346,46.4619341911871,49.66458070531045,49.566575109569904,54.32033142629123,51.0649573999496,51.859420071061535,47.186678119265025,46.32754816413778,46.99347611978962,47.16756527509956,44.4429033827129,47.19761894533496,47.47355806456054,48.49353530422901,43.74980709264026,44.44332227511903,42.48171671600091,42.5927858758846,40.629860172584515,39.66114055336228,40.77913809925808,40.71422291707897,37.82497653066337,40.608987161991884,39.07346847535394,41.210567731436036,43.41921681063932,45.040369702673964,41.39979306147655,39.76317346893388,43.85005303576101,42.295994440060426,36.58767237967879,40.34888224085376,45.174616837570326,40.14501503801768,38.98727836906803,42.69170176907349,42.756993040917386,38.413122254962055,39.83128907168797,37.34168706503965,43.130993303940286,37.79125577372557,40.40744909980271,44.38549322945638,47.055945941223854,50.812559343684306,51.60933513259866,53.48102388159724,52.421712107315024,54.77947801292608,52.89511581508389,54.98400812470007,52.573618330324535,47.47210949602374,50.39334361338322,51.10235466596145,46.47524238816186,45.08588721299166,46.405317152603494,43.929851469884504,40.901872230246,40.33380536107634,40.75182723870993,45.242239836886604,48.38862813994954,49.515965465635944,53.039758532278285,56.65818909451753,54.973855841369854,50.34782170197035,53.193169590469886,55.183424439701255,50.64723446958803,48.88970899996715,52.43269254049317,51.5764456536614,47.70619351668906,51.25344982833094,52.97425642111292,49.417485521281336,48.57206378208319,51.78881287921004,49.35680216987045,51.758983262400264,50.629028365446544,52.52910280174808,50.609459888653156,45.64566923536999,47.583717939416786,47.34403882355697,44.37286417795055,42.21013197083483,45.763790929912695,43.51611493179251,38.7288160966461,39.74919351573092,42.33122007926116,39.389323299764456,36.01923157185841,33.07071829445004,32.7585978859099,29.58303849723753,33.717508964437535,30.832616659026264,33.98219540569678,33.5577400388556,29.055700353252686,29.240756868831166,28.36862899612839,29.851114089663145,34.37936936619667,33.826960719840876,37.08717919934817,35.609861073455086,37.64705667555254,42.94566006630592,45.567284824035745,46.76088710762986,41.43768563388456,42.54782429086894,45.85565892567697,42.7928900549639,39.78133088947278,43.66188986073227,46.669624422849,47.460116343449,50.07965793793971,52.40475595273908],[39.52305359171906,37.090438790661814,36.103461996437005,32.322715819354194,32.69659069133763,37.58663165239693,37.69103517455686,42.090241548150956,42.05338425523501,40.634791230100156,43.752369801066756,47.32685246261206,43.62475497744753,41.51981219098267,45.909902404420706,46.59990304775583,42.183174722496034,44.37391695893915,42.608324465036745,44.72986063140265,45.271090914968575,47.488741038386934,46.24208947164006,43.327196575649104,42.247418354567095,40.39672282377628,40.73775172090752,39.67231820194664,43.59783931788033,46.249666553348106,50.240551865088655,51.28641354752686,55.49054914427208,57.06956929500222,53.68678661819498,49.91319963750954,49.9256579778652,46.233821762788466,43.880446804412195,48.02155398216928,42.84708329676401,45.05428917368545,48.58618715200643,45.8298672990393,44.99567393706965,41.694516461584875,44.87947224737726,47.198418596606906,43.068026011701626,44.39394630263634,48.878557650620806,48.54078214893616,53.49554156427577,50.25707685872426,56.79974475213701,56.72352878812795,52.716494749772984,55.158026597135404,58.994079297805406,55.732946006968724,53.292963208192,56.70613762222864,56.89582794463299,56.35484935537816,52.84878284279384,51.23538979634686,48.53678200283298,48.62360338769497,45.435830998279606,46.36004587411164,44.21951194439779,46.247721508835305,49.30334148357108,50.21937101066897,51.70320549707934,57.13325246768111,54.8870500651244,59.174689189333805,56.97348875396412,56.03065624207644,55.91764589949407,53.63799107868649,53.57178985693728,51.91574818821497,47.584572145128696,48.74208274345424,50.01917417795839,53.82616595026855,52.078212515207966,57.589652914428406,55.23005993227772,58.41455898623657,56.58910902364369,56.33773598417763,52.29027089030846,53.78695160388017,50.04387952918974,52.93761688706322,51.46768970865295,54.6793569153487,53.15998933568379,52.720759583562966,51.49484880589909,49.76402394552774,49.60308659802022,45.239940944438395,47.178010474025854,43.89870481350631,41.50731479035177,44.02892243364162,40.58866807553589,39.62318359780816,38.95189304839073,36.09935155896139,37.403706936670325,34.14205283097011,36.24736128196922,32.60567054238693,36.96772713015106,39.61617765673546,37.07262944747008,36.98972683108871,32.35006027816376,33.09272783832548,34.4390280662675,32.64942020423651,36.28182981456935,35.47589374249764,36.80175701651923,39.97579112897233,36.34034733005766,40.10732312600714,38.28581235081412,42.208055954671984,36.465202049377936,34.72494476746707,30.48260756153126,29.71191751730327,27.919927646528997,30.752119516375885,27.908109513252523,31.326811951350162,34.16589152024027,34.09218328412498,37.80410837287879,39.83836830537984,37.66768546460936,40.55419547791772,41.495946180725376,42.09259248546799,44.66901776208921,46.87351443067231,51.284092221130734,53.2585111683961,53.290671756925605,52.075119860238495,48.703266001048924,48.182826682481696,46.954645741179334,44.66124213486363,40.49339800176044,42.56683943674007,36.888241417865416,40.60525034088466,37.24775876057879,31.248772766419286,33.650765352309705,30.985139597083617,29.455861314120565,28.340052536730816,31.419011909591877,32.47613969322602,37.53654390696941,41.067310938944665,44.269442282789605,47.669855686652866,47.90360682481418,52.389728689320876,48.79854480444528,49.5180320565471,44.53410615811592,44.07569145649297,44.18362380615397,44.026655037388096,41.39785607883473,44.00557048953735,44.52326014191571,45.085068390560124,40.19556717386411,40.758935052762595,38.6086045389142,39.091205765527285,37.08816199451367,36.342985951365534,37.547264467134774,37.562041327657504,35.12333516813842,38.10672978133536,37.0107633650206,39.44300899083036,41.804278838211694,43.73635593589208,40.194605440673165,38.62004856979497,42.89168772270136,41.69557994650975,36.08608611366961,39.85773794493395,44.892913208318824,40.25497820349479,39.19908209791505,43.00285922278168,43.30425318312679,39.21009949148682,40.642909843337094,37.84879174682506,43.610818366922786,37.80597345470153,40.141197250668924,44.21699919984667,46.452289100985666,50.49781609158336,50.7578153981774,52.53313661071755,51.13932057289845,53.26363827102998,51.295594094333204,53.03121464220286,50.77126412888708,45.69541763548002,48.30438677311023,48.80453845893018,44.29401565942631,42.81800482531939,43.73486761267184,41.31919904331203,38.64238396546204,37.67731673437531,38.71209699322447,43.05213398712802,46.226904001249494,47.798212428703046,51.31482577577261,55.1938958481391,53.49649067016065,48.89063526763571,52.11981710064591,54.21923984762437,49.70417046508491,48.14107314613808,51.982696934727905,51.34205331977149,47.53246987490402,51.03545065141915,53.042994660932514,49.779597889153,48.79582929378981,51.89783673721605,49.23000614724818,51.27464548503074,49.81712311566169,51.514019415384105,49.975884542444355,45.00364917263428,46.411566350972016,46.304114158539036,43.58134532533802,40.98375770926631,44.24636018847999,42.38081743492817,37.663759343468556,38.07852058654415,40.637164203363334,38.10694399690433,34.80718372174342,32.267496948789926,31.914537506291087,29.27773082892148,33.73174545236838,31.01596239158664,33.858776883500916,33.81502831754965,29.427797922995744,28.98759331825916,27.70465427976595,28.686741742628733,33.199706766485896,32.71612867907103,35.56478632700865,34.449594110955765,37.01242065470145,42.173633413322385,45.027413137034976,46.248580929136594,41.07561689860188,42.55812307104371,46.017658772508476,42.83505434688811,40.259375092991334,44.33413613317484,47.38345785038727,48.0616549410066,50.65246582372899,52.93594559172904],[34.252188238904964,31.67824897810125,30.500993934555186,26.653658038097326,26.907236217919895,31.829352524460422,31.94708258296364,36.35724079353762,36.44375105766266,35.186761847599136,38.411519793914294,41.87559689158615,38.28528823845524,36.350671578565226,40.868425782745355,41.50492892368332,37.21739052367114,39.73303507640359,38.437333317643514,40.48898391151386,41.453394401288364,43.830355661632794,42.93159929904903,40.21260675914006,38.68808027966965,36.58641429690918,36.50369412441966,35.08717933708081,38.82774020586188,41.21245684939142,45.41458453987616,46.1545446584251,50.40412331656418,52.22313982718669,48.812024988381864,45.19951181342194,44.96616518832538,41.647490581210604,39.37075308165321,43.74286310744055,38.81102364836673,41.0983427292721,44.801744717606574,42.276230694755604,41.90479926391679,38.77551560848519,42.23033806416044,44.05724124762426,39.60036415338725,41.37130178301804,45.61321551899605,44.948426063945384,49.9068510493392,46.30713426650029,52.83442752858624,53.14453425542995,49.096923514757165,51.167936019506236,55.24449145636344,52.3728405749043,49.71917815134122,52.966765442998984,52.8981233404849,52.766948375378824,49.29814197877654,47.29456918667367,44.69692930942506,44.4018930852766,41.36112032330873,41.9763345453307,40.033732134907936,42.3223199102487,45.153241901331654,46.319938550343586,47.41855162064591,53.01747416509758,50.70039271608542,54.839302026079785,52.6111734779328,51.82588594580781,51.40073474743143,49.19835611968805,48.75631886802709,47.236619274166394,43.01286539133876,44.029115387908654,45.53658785858178,49.05623229648219,47.585197645223005,52.95771544657953,50.68321043865637,54.00452467932015,51.989467407555836,51.504922652443945,47.33476273381638,48.858317756817634,45.01300548508813,47.72113938576504,46.08600834224073,49.12449401147108,47.7525827281427,47.1450808773004,46.1220615486618,44.250020942479054,44.28225555116757,39.77184634050046,41.762685222873095,38.58686069049978,36.0281362528035,38.445824472133395,34.88850644863469,34.01437184251938,33.28329027223397,30.578746596035867,32.06598115125896,28.961391781807713,31.399176563006392,28.050772728190932,32.85003192739738,35.07871406045838,32.47866435716196,32.063934944415756,27.343637062428584,27.776283597555924,28.87990271484059,27.031416620739485,30.520518880706156,29.840178203205937,31.251766051965486,34.621167690322075,31.111230692608547,35.07125627584323,33.462513519540025,37.207887763641565,31.44955520429405,29.453056673977425,25.142957067343097,24.391333168400752,22.679053059391173,25.789154108451722,23.576064847185922,27.441120126702142,29.945400159515756,29.468790779671547,33.28766594642204,35.00244563582367,32.633584523919204,35.28110923921115,36.046887357541316,36.49894987116486,38.97605585206471,41.168082019837,45.55029327298148,47.52870082432272,47.633453770188865,46.43525274338545,43.135239080963416,42.56849339904023,41.512545694796174,39.18284371658631,35.22614004156121,37.55622174589151,32.01160861166386,35.96223721829217,32.804774353785554,26.911317733198068,29.340280234399867,27.15057641952489,25.190885205158857,23.72387860836394,26.639168573510894,27.54327604488578,32.7257260655344,36.137271533317566,39.284265758032944,42.51794708960946,42.72189672758463,47.27716604587316,43.91429817509156,44.56194822505157,39.80712191389495,38.94599494679393,39.434850709096516,39.58641879334529,36.91903936134245,39.85592666007118,40.368051063915374,41.36818976540132,36.896459042628656,37.26775093250676,35.24958188496348,35.18302940316538,33.089980480584686,32.044510259866634,33.16885764966203,33.19837965939539,30.34073806885978,33.27673096928996,32.011713232713845,34.15077104030653,36.66099615318532,38.34258238172841,34.69595773913364,33.33956049261811,37.62081512790062,36.196170247342614,30.683301434612716,34.65762625954934,39.54664489069352,34.8147254902589,33.97020415824268,37.85356362548684,37.952982177706915,33.97255308325445,35.71136956762523,32.94286809499071,38.825215324035135,33.36987345260387,35.40357441503502,39.53221403910308,42.01850034186171,46.23498787089927,46.46436164359537,47.943451222203244,46.513947606118336,48.57321956849209,46.398767417940306,48.42058423743605,46.343240764526904,41.011405795721494,43.64947082294922,44.57911161618422,40.03764596448191,38.32216981700982,39.46092852697133,37.424734478476466,34.44215788826893,33.25764102995525,33.931371126764226,38.09364482833222,41.35428133353971,42.75110080814253,46.14679374369174,49.97190268684435,48.12302806633033,43.556594575294724,46.78538507791827,48.72783288409605,44.1430385233693,42.6768626331119,46.47977763264881,45.756599456967784,42.01340206844532,45.67070527642662,47.615649957902555,44.32013418994805,43.52425668624948,46.725296817998895,44.12120126714537,46.16736539720583,44.625240490771716,46.551489036812896,45.1116327907052,39.952531050189116,41.50254122086672,41.66795090009121,38.88390590412275,36.18619409606033,39.85942327047614,38.20173088384524,33.1847399522089,33.69620622111343,36.755243730605166,34.321494074867175,30.768195220192737,27.85114849970459,28.23951001810591,25.35175241251355,29.63371542471133,26.369902707603735,28.869191984891245,28.51560036412702,24.335951033542095,23.84485527372317,22.91607240083853,23.716220474397396,28.152157313133166,27.240346702973603,30.15706483173727,28.79171617453827,31.329955356623337,36.47919229615704,39.355380523622884,40.50141123734393,35.30848735407464,36.87270530702344,40.2997907499194,37.06156080137982,34.570369719492604,38.717623183249835,41.730822405144984,42.41870905262643,45.04722628174954,47.32338723275602],[33.894836550865385,31.7012099293289,31.242908037929816,27.56817420887269,28.821613883946362,33.372714607091226,34.05708394231138,38.603810087811205,38.53905930464495,37.7285484316699,40.910197760124966,44.388939995774585,41.296677522212725,39.163310826266475,43.89410402863432,44.770141218476816,40.7171603839864,43.46874268005123,42.434257870505434,44.70420739951878,45.80987324085386,48.40316642930047,47.52635102587062,44.90169036682691,43.34537459320668,41.025569942990174,40.88939599287721,39.179366656522326,42.72614791092629,44.88184303276548,48.92381012965823,49.613930739121,53.792397092359884,55.87767846950348,52.60264442400576,49.132282969580395,48.851983576440595,45.89225141045719,43.76215900745798,48.33430818782067,43.506745447457696,45.70227197693657,49.51565867769135,47.12571249598798,46.84713448107647,43.78991439801379,47.28982181359105,49.04792467727385,44.545213560209596,46.40665073530486,50.591201922856435,49.849294492615435,54.7922195169785,51.06098702303854,57.564566112975726,58.00136816951892,53.91723409347124,55.81296953371234,59.972929759529265,57.22267061845852,54.41903443113051,57.50063101192401,57.249208953062556,57.17616191039144,53.828441112447734,51.70314706556546,48.875191746952424,48.375724617807506,45.133399072873175,45.436605783162484,43.42919747229856,45.56181450999881,48.55703622511995,50.06372502429496,51.163297562218276,56.90712745087071,54.82568802567718,58.898363406819165,56.81980538498218,56.24900062682714,55.7109178678774,53.65568525883074,52.941306258083294,51.56341443079391,47.43902130583797,48.301054720437726,49.89057052813259,53.15899756751788,51.74171949707049,56.91342546450177,54.5142414245871,57.723604872311654,55.49828332852932,54.85156880641363,50.542869725265014,51.80071786159409,47.81423824129999,50.73339275029009,48.94300020421466,51.74564649958755,50.91840271318569,50.151432667841746,49.58858144243139,47.50130171113027,47.84338365502352,43.05642042602623,44.90531158346461,41.74938885568469,38.82820663332562,41.26709980737707,37.493931591296494,37.11572450859861,36.11789275256651,33.84875912685921,35.327871667120796,32.48703849512237,35.164728577225524,32.04303480204701,36.843137223259795,38.78506371698665,35.9474478476407,35.28656421463029,30.599322325450476,30.826095043605562,31.567432204511352,30.118849353895726,33.0292744137043,32.867212200820504,34.26114633581923,38.01536294185096,34.367539913138664,38.38448056030511,37.21532876693168,40.9582644206082,35.31414706861376,33.2008886134303,28.61749297228128,28.206396445654157,26.60610629738053,29.960550383095605,28.120313190736073,32.146127342914085,34.3721802790333,33.75385663857901,37.68958012697038,39.095869556263814,36.548820361675,38.86688414472898,39.437496625936866,39.43080227446721,41.697637802231945,43.54146450413147,47.925654873644206,49.4151968905996,49.859313791548715,49.039440336039654,45.96225594044633,45.503055822551204,44.79113108443495,42.54980926849025,38.998367759410016,41.57886781952604,36.237831199378086,40.36920191999396,37.37083910222993,31.579744090260547,33.887643815001404,31.82948195296637,29.54953802012858,28.132964411068293,30.860750122381113,31.767378857645515,37.002779319863095,40.29045879995603,43.37346936210805,46.391713604965496,46.51447330045962,51.169263694125256,48.077216904971685,48.62854477738032,44.09686768935205,42.79371634810099,43.5425166687131,43.868294570892076,41.30005038904354,44.500544735224985,45.058910117595545,46.214226871618834,41.88805849861789,42.13657078354493,40.05779875825501,39.861392781751285,37.547116141853934,36.24191559380979,37.096538775620026,36.765090193987966,33.66140408639306,36.23131700312371,34.4585162562529,36.640936464836244,38.64706606955861,40.32467396582026,36.75166502440086,34.916008165714715,38.964606510135646,37.515719201219106,31.72987288851694,35.404476371440325,40.30325682543021,35.3816994709178,34.13659456048112,37.84331126255815,38.07240062218778,33.76635798233893,35.08237740824367,32.483391652855815,38.266506187663175,32.83058651375337,35.407056658402844,39.401769934375565,42.061344343324244,45.85682157477262,46.63125112592094,48.4863576277772,47.454024089381576,49.850475759672726,48.0217448987664,50.168508646632716,47.70145156216164,42.6124235636483,45.64003278690685,46.390720455148376,41.72534402027961,40.390505842790006,41.89245682938631,39.37363532855477,36.19324869328969,35.86378613528043,36.023341328403696,40.68329833506039,43.75095102090801,44.737377327052144,48.33559544056228,51.88051344373853,50.3299016132744,45.6477649513353,48.36942722876653,50.46775432357169,46.00168484692728,44.10095442199469,47.66313254361997,46.89610742225243,42.961279798973884,46.404429630679104,48.2072088778854,44.750765299026895,43.75366272152056,46.9146667572035,44.424888916073726,46.79992197572584,45.699217528311124,47.559497548000714,45.60938526123552,40.66722068759221,42.62275620938358,42.34777632680642,39.36251625869985,37.242255491550424,40.83562981248804,38.56397823491804,33.73716514617131,34.85724340102367,37.50295880533899,34.526289265789615,31.09413673963879,28.063789117916205,27.89249677658728,24.653867038565135,28.796040759213998,25.86684043547601,29.005399776996104,28.742298771532447,24.186328463537325,24.28232179313339,23.34750869893675,24.910829055230487,29.451957460720017,29.113257365258537,32.488737180680886,31.23419411459052,33.08853594898276,38.47186468134531,41.00777236737884,42.42130052388175,37.10956673818825,38.04944372141505,41.52176718073459,38.70396547353845,35.53607562238359,39.373783584810845,42.57419724569234,43.38274804290232,45.99240877039126,48.305034978983755],[36.353049896066175,33.98450442291287,33.12610867305824,29.962058195402662,30.620057803061208,35.777466495385724,36.44617039556769,40.910399612319026,41.286736186611144,40.48223870123796,43.80842834582091,47.127573103597356,43.78652193905074,42.011781459677486,46.654140100541525,47.25726946898393,43.083650695655145,45.76770544281703,44.61094234599779,46.535992046400814,47.55429153431674,49.78860247674273,48.92503563153444,46.11814222000645,44.598614450174246,42.65864088826065,42.44735430024014,41.04330434896129,44.71887771664701,46.92500768699255,51.34716075347957,51.8044482388319,56.10670035540488,58.07979298077056,54.59506333714191,51.0778391492751,50.58763807576981,47.39341062848462,45.00225588750336,49.110292763942745,44.357606314986576,46.903712201281586,50.48897272512847,47.81427965892863,47.404059970457006,44.09318984233695,47.368518120554924,49.328076068383574,44.796385761706865,46.13428198677193,50.39903875564736,50.022997705476925,55.03814380591034,51.60384773153025,58.08621823931832,58.49635072059607,54.596204772146756,56.774021906895555,60.852233686638975,57.95278680761977,55.518992954305425,58.905004668799755,58.90457044795514,58.84739277350994,55.30219201136586,53.29896265291033,50.87199398599853,50.54712874058742,47.586767516122805,48.128569648933016,46.23168903299614,48.52905835655052,51.35202413109529,52.566411344223035,53.57858810776136,59.19182199210872,56.77848031612186,60.867333506037085,58.53120962130934,57.63859745390151,57.0450964886358,54.62701270829616,54.03296908904445,52.30364657804267,48.16249748169924,49.449055576270744,51.206912815191195,54.67291392959427,53.47530308865821,58.85252082972924,56.70220626758119,60.108375935868494,58.033767623380605,57.4235165017265,53.17959543492495,54.68300661825512,50.746514480470175,53.32238818058465,51.47882374664866,54.17664209551159,53.043879563023964,51.99385893248396,51.224872034032224,48.89717359214366,48.72990449352863,44.03146004360938,45.545366068129674,42.11093155785947,39.44120549927978,42.226777168836726,38.809844677306714,38.546679525024636,38.06928529317688,35.69694209611348,37.59678401259184,34.6775907813662,37.34370039841894,34.134162595971155,39.05966869591284,41.18851567934164,38.58373413408517,37.988003939890845,33.245524161767165,33.386077931924504,34.07867516579577,32.0155056171177,34.82879478621438,34.180071085738774,35.15492673197746,38.635980383437136,34.55533647854269,38.25262689400177,36.96976376293978,41.06760023478155,35.52833282972214,33.96353288158578,29.145992631019038,29.239785440334398,28.053137442618738,31.322818777854945,29.447733345893692,33.256245790408585,35.916727677093455,35.28507750361825,38.99762291533237,40.69579319700154,38.256528592588616,40.7212968386649,41.15456767548714,41.50154199536939,43.56140552937503,45.8138607843307,49.97860884558133,51.847796874088864,52.36094820086499,51.27013037892076,48.18271343463055,47.36957727180499,46.69765391612166,43.987370572711974,40.206219957641586,42.94268261181534,37.39135738189408,41.25182508672977,37.80286885908886,31.91312077191404,33.752493168363564,31.215380692584116,28.988730846265568,28.196833032888268,30.98860782261442,32.42066996076012,37.542498598850806,40.99798075055966,44.30456084220422,47.42855838547216,47.956466453263225,52.32010526333685,48.97438751365582,49.336135350943316,44.54039227508966,43.42814197283463,43.59123675897604,43.592758036342815,41.24711211769366,44.488572227537816,45.43903026540855,46.08720972903334,41.69723541085486,41.63291116379996,39.22205431685794,39.42257370966013,36.829233757493924,35.59746059131077,36.33257433236677,35.78327326189857,33.11979995099203,35.67066851632665,34.111957333051656,36.79459679094677,38.58199902362732,40.735914467447614,37.385919981190085,35.22243987723236,39.337443102638495,38.427444520159845,32.58672355256002,35.98167097757154,41.18776359450603,36.73496874379046,35.30047263875075,38.963568292401334,39.670613571166456,35.503545836458855,36.4390485157154,33.5555075209511,39.132376584793775,33.02293690920806,35.64523311687326,39.63857159444044,41.754730504655555,45.58234933922165,46.030359901155244,48.09561006589944,46.92160486024174,49.27150980356717,47.64209533545854,49.35516517631693,46.75205316452046,41.934669502000574,44.8426168999636,45.100034060670716,40.49310995571121,39.3817561192548,40.601053697522985,37.71269052202412,34.88933713338123,34.74310284959015,35.38853327817557,40.279392083391876,43.2176191180079,44.51146850401576,48.28609327504234,51.97213832116633,50.673308232654755,45.919740998313415,48.76361319993366,51.164486288513736,46.84367905464439,44.85459277593073,48.64332921260014,48.16451280343599,44.1686815478506,47.33530246100148,49.43592602500222,46.29446923189547,44.91352869492875,47.842750318145455,45.10928520067986,47.22571136948063,46.03164704997388,47.51077670171421,45.679968054975525,40.948771592373305,42.44395681628779,41.95986654529363,39.18849763146912,36.9292940217978,39.974025083407106,37.7240570932088,33.214246745379725,33.93342154671334,36.136692833165206,33.29958144340534,30.11701088429949,27.67898613390532,26.876316494010357,24.25317379699384,28.739517868655962,26.476378732110508,29.66564249919601,30.097632266665446,25.470410648158282,25.07275960966441,23.457628184011163,24.8759090255534,29.465922676590658,29.75215615486346,32.880020601451044,32.280177799840665,34.35038272798376,39.706135590717686,42.28932361300125,43.96831419451247,38.79737284607865,39.76032977731596,43.470851750196154,40.84101006526526,37.77671456565137,41.60286515382061,44.992358718667575,45.735208693612506,48.26558309323,50.53636144119455],[34.903564946001076,32.286417509315214,30.970517840696463,27.864429557483163,27.941954001957665,33.405255681629704,33.87296799199465,38.25109101585993,38.85574538495505,37.9666595984249,41.37442660314161,44.58393250296479,41.05566914603687,39.53351579359671,44.10062353761657,44.51669771403956,40.30177932772077,42.99707072423617,41.9074405219795,43.614824568047965,44.71966485895367,46.82394491454366,46.098095254273844,43.2978062195605,41.632676767395836,39.79638684014877,39.413517806851694,38.07332559097498,41.7560094503187,43.93790552032315,48.588827210466654,48.87442169983838,53.23934717290349,55.17222492942641,51.5809491009873,48.07801665809147,47.448572340000986,44.22190351523425,41.74410068111697,45.717989479284164,41.06861247809944,43.76989296347944,47.30097674534841,44.598162500836374,44.302438043381215,40.97531521947084,44.26206508327923,46.10121019205557,41.46507021808796,42.79125726355287,46.989784781430124,46.61582590867235,51.644170571635605,48.20784677517448,54.66790681840053,55.17659821059583,51.33608280039598,53.50310804595566,57.6122360177587,54.78903991411597,52.4362841305007,55.88961444609172,55.92377249198785,56.01169590551309,52.39559247329942,50.32518922482559,48.146147826848754,47.79485229969258,45.061146712015564,45.655904777223334,43.9024682146786,46.388631442944565,49.00260348155905,50.10603113534958,50.93698111867161,56.50483560487899,53.89586812461407,57.939759349625504,55.4752206210868,54.48030553990772,53.79122416670198,51.25635107622681,50.64723977700032,48.82601929957953,44.700450607446136,46.104590880012005,47.966576545658164,51.452383047643934,50.411979232854705,55.844347427501496,53.84970415449684,57.39216897537006,55.36825017365806,54.73743351055858,50.529972999611616,52.20185674872478,48.305536903135255,50.62637319835283,48.765527957693386,51.44382538711443,50.08821560102969,48.95485882193838,48.041701407947386,45.67564287974833,45.32891247923872,40.70881446094851,42.19949228719684,38.72503110493495,36.198002166195124,39.028427488323324,35.75313006515441,35.38449392669911,35.1363530264264,32.65821753021479,34.75431964641503,31.81246225150168,34.50645551175213,31.34662843220651,36.43452683723944,38.53229397256946,36.07700966002876,35.455635341398256,30.699664171476684,30.750230178233355,31.43854054185234,29.039152368217067,31.939321289891236,31.01455192048814,31.89687415613333,35.227874643951445,31.125076951472927,34.783570318345944,33.391293239998966,37.51778887713808,31.974109903139023,30.52564735485238,25.716263851962363,25.882186635216954,24.856858034280307,28.097721857919467,26.378585305449665,30.19324071895816,32.92532257153503,32.17901531477676,35.79178710794716,37.54528455841567,35.13740321485598,37.646033871348706,38.030976269785114,38.58424790859761,40.61053636211527,43.09294294568771,47.17413957903942,49.32621943964326,49.75817254711755,48.46313484656509,45.329499803396466,44.36130960292612,43.64783449345048,40.76530404461789,36.87269664540531,39.66031382078293,34.06074201824784,37.845307571527655,34.29937471757944,28.423753164740774,30.146075825486673,27.612726321776396,25.339917300933255,24.6064315398429,27.39766240254196,28.935948410235678,34.023668260726325,37.51073705556837,40.8724024622894,44.026731033301914,44.687703809317306,48.945099757818646,45.52963968055404,45.84220810000999,40.99486221613776,39.939144510083985,39.98974085752158,39.958053905827576,37.63066835060316,40.9137788924858,41.958274065142604,42.57552795720923,38.29801232622478,38.10686435511132,35.67906222335781,35.82055232909345,33.19084943475411,31.95348405049024,32.718520805639585,32.24868115432341,29.630613213602427,32.30029145030416,30.928536982772805,33.616403096792624,35.607370349016186,37.788627951771474,34.42576919035308,32.44997802798333,36.686463336226474,35.83101368705323,30.11822417005558,33.651447542319985,38.87693666373002,34.57565960297799,33.34158084316472,37.10517037475324,37.79110234909194,33.832583110686535,34.980556324089186,31.96599082693623,37.59842142678369,31.46448263154231,33.73936321608028,37.82124763595532,39.84798779605517,43.94596510676313,44.069994337545886,45.89690677963104,44.50020101032403,46.670110990021705,44.85276320320756,46.52961131907887,44.133708964277524,39.16044049886691,41.892100533023104,42.28590282407807,37.72160543871737,36.39954343312805,37.49091306718429,34.86765640137339,32.07855015205656,31.526043419371366,32.36387327754674,37.050183287012814,40.07170907017079,41.54348895664724,45.2342112852245,49.05136120290747,47.631042541982985,42.92012842272437,46.00281650515376,48.35265488504369,43.99217147922104,42.19369204352217,46.12307687768929,45.69958487322635,41.79149380315633,45.04317815331353,47.24963578778908,44.23487101095625,42.92087766638435,45.85633054773198,43.04127705859546,44.96133303816624,43.52300894156051,45.03492031553804,43.48858414675239,38.629567069016275,39.90380588334415,39.67160442497273,37.00593410879895,34.41805026423085,37.54493729604802,35.65423107085428,30.99310316639518,31.392508283983563,33.895316462962725,31.36817376248842,28.065786864056072,25.644638593413994,25.27100785502697,22.823631459233845,27.391421898577775,24.887574500200962,27.683126921705874,28.125946037456302,23.708393480661453,22.921915006497986,21.27095119102912,22.263332716726513,26.809800391883723,26.869540351046687,29.78136506249324,29.23403666288146,31.6051961652807,36.85516166926084,39.58921891002797,41.2041625486166,36.11639549861955,37.35411347159914,41.09469486583497,38.337830953711745,35.59323329857172,39.5604886148997,42.90945360040794,43.59248100532859,46.12362941766138,48.36492691127834],[30.361425188198883,27.9239424903263,27.046783237387125,24.023431283112895,24.87417000299139,30.014206516455435,30.968835458568954,35.45488440166752,36.01402723285556,35.62352141202441,39.05390598100198,42.178787452870274,39.171941596472934,37.61420370028455,42.42306450170604,43.003983768141524,39.112531079224844,42.225610093375806,41.70813370668481,43.55894145289267,45.08284316594339,47.50187228207084,47.04210212325571,44.49773766596784,42.50268437254778,40.281429871613064,39.56367180113493,37.70882209372199,41.05496726180955,42.83299221255133,47.45475599177715,47.489868649028494,51.8022017373147,54.12649537081723,50.658196180398825,47.41022742679685,46.587016763207636,43.97137137758298,41.719355853470624,46.06143877194242,41.69396518829099,44.30622331622428,48.05609937139716,45.68774178163114,45.813252618798664,42.73303640190352,46.25746384807409,47.65115771689281,42.79132094381992,44.59101868849348,48.52593557586248,47.793830570466774,52.76766681781364,48.9394423682822,55.336805222932675,56.222794145737026,52.314645645096746,54.024196019806745,58.36325857936381,55.94824279514137,53.28179911131744,56.428411814374805,56.10198161895155,56.52687890850816,53.0735510858534,50.62413281406048,48.30333182380503,47.49981548020266,44.70833777143309,44.80960474196168,43.15728937657307,45.68727175410377,48.25675843266013,49.82274442052492,50.37637776844109,56.16609708710669,53.73557403957525,57.59996284410638,55.27311702164692,54.606250883626,53.6117111153292,51.3135456368398,50.19746457467241,48.651210535565724,44.71235410857646,45.81700472297924,47.87965986565834,50.910525620813594,50.09477320719705,55.21856456547324,53.171061631752124,56.692626819404914,54.360145980084255,53.428837966405446,49.03443884492387,50.493155748927414,46.424522298182154,48.781674360289024,46.682854809892575,49.038643604386166,48.26082008289438,46.90129721501606,46.53973770060173,43.92770427894083,44.04971604174293,39.096057170744444,40.54968053934402,37.2280187029814,34.23653739009381,36.94772841391448,33.36685882645028,33.48151451121287,32.918487771158105,30.951255584443505,33.13793565765688,30.5728807063737,33.68925502345311,30.9803453486413,36.31864466096768,37.84301994623989,35.16568587554862,34.097878974880544,29.366356980751977,29.003584181516338,29.186325736488666,27.127893388307175,29.39604818611953,29.065306948727844,30.041438277546504,33.87373948545798,29.847463755199428,33.73527965889064,32.91604360590331,36.80474050713126,31.377159021365113,29.559199244125274,24.54554508389384,24.961384435918777,24.071713597503162,27.689449436922555,26.78751251551485,31.01768070711646,33.18927462835096,32.043170897341945,35.81546088248921,37.02834114483182,34.33621802297163,36.35457200002632,36.45187671306794,36.4791738731494,38.26037384872587,40.408416085276535,44.474677823073094,46.20499182336714,46.959097685047254,46.0034368348354,43.11627998311296,42.233280422612054,41.932771215028396,39.15684346778982,35.815152129548224,38.96437167153753,33.71110945923177,37.818773168541156,34.660307346970576,29.049014859184236,30.751767166545868,28.82699334298394,26.000092101161876,24.929581607108446,27.36659278988099,28.67749812613362,33.8559172846515,37.09008445559293,40.298567517682116,43.11646770761913,43.63305723332824,48.0391760877626,45.066428057932924,45.273711860213794,40.852650263174546,39.10674070923646,39.756905890965065,40.15994399170115,37.864042403131165,41.56627933319921,42.56414733022049,43.70895177740331,39.89587274633855,39.53920128501637,37.258604299492255,36.813120348505095,34.02980096153006,32.353343525589025,32.845979314268014,32.134064689795295,28.912147671732672,31.205513605904912,29.22522653468709,31.617213873939086,33.329541850441295,35.230287503600536,31.815922001616094,29.653646349397068,33.69786229789259,32.565398109492904,26.690716437567012,30.18654404799616,35.281906856590844,30.685836139859536,29.308194085002125,33.019316337521914,33.60629079912321,29.452401075326897,30.55125114835331,27.69494404064291,33.40622385260642,27.62242251202897,30.091908783037933,34.13077432240471,36.592886690885386,40.504721541843615,41.08621074244057,42.94137312513559,41.85646694872581,44.25443028254503,42.51850848043867,44.598980620632815,42.06077084990579,37.034735936068756,40.129826259864544,40.81311851954753,36.12213373585564,34.88473708358617,36.50982184404399,33.880740454801575,30.614365074856142,30.580256227370594,30.579886047460036,35.48661093970416,38.42832067078419,39.364079961275095,43.09206151689634,46.61389965186209,45.278440524880374,40.51807772505393,43.167541105962364,45.478039587809036,41.13918336691959,39.071969154981765,42.752476330562644,42.19482017440678,38.18479241812862,41.426372025902836,43.4410707688375,40.23514100889738,38.946102817835545,41.964758294701944,39.311890697103266,41.53505607138839,40.39394327002847,42.09644100009098,40.197761520785704,35.31802079465501,37.113413913687964,36.77731551712544,33.85583891654583,31.680015274763544,35.17862598401621,32.948721045051194,28.126164820657014,29.198651033708227,31.857468754904872,28.93227008882327,25.459977098250345,22.493604628063476,22.412616375341823,19.311139308825762,23.60164190326766,20.777287262526603,23.835664782134774,24.033555546928028,19.436677445318015,19.14242426505767,17.865329532323884,19.42315645469899,24.00327262910348,24.123092261866713,27.526063969473377,26.791366707615385,28.521363460563865,33.961820589082016,36.42529076086289,38.17524940165017,32.964014748304365,33.74663486065094,37.48584597847173,35.01814457142427,31.780359386735107,35.55915028037202,39.023181521154505,39.81835567594833,42.37201633417682,44.64009423849254],[34.507328256691515,32.33736079632901,31.79668673873448,29.229982704655942,30.354221480436,35.49590698392335,36.70884312280305,41.1865029646807,41.80676538585269,41.55157840774805,44.9677390520964,48.08202410842112,45.15109743916272,43.56480882972942,48.38218808306748,48.98520411887007,45.07266910949373,48.11499870599529,47.42578879761857,49.27240781116393,50.62628478062352,52.92201568631537,52.311630620778104,49.61498586086053,47.820427891109695,45.77240976657653,45.202324807518416,43.514435463125565,46.94326988175256,48.776850374777844,53.4048838279572,53.45588410565419,57.7751273556274,60.07186212318808,56.577889694292644,53.29109236895638,52.462270797633465,49.71912600960186,47.36706736693621,51.486601480524406,47.069233625820125,49.77970858168466,53.41150220462088,50.849595694262995,50.739836213480736,47.47188122375184,50.80514188970574,52.49779929685062,47.72991766787912,49.110348836107114,53.184437903666364,52.75201806617435,57.76939649686036,54.18236891078761,60.5819015674555,61.34559193703132,57.51820225642687,59.45868740583593,63.70198416877316,61.087656229918636,58.617615972005844,61.92047709946262,61.74297133618775,62.01664955813915,58.49461412924579,56.21530657161839,53.9086031661636,53.26625551438048,50.41693130642905,50.62808007533597,48.884997017692065,51.30138315541569,53.996963114968366,55.48577636759263,56.187540678939705,61.93067700846906,59.48567897833884,63.40766586672139,61.036841638440094,60.245135400392925,59.3083477624014,56.85996570211655,55.841774205842334,54.12194468334151,50.166444268800085,51.47613305961995,53.556661605698785,56.70418246985993,55.88812240331161,61.09102718870795,59.05449299878623,62.5590103766718,60.27359386758101,59.385263087696245,55.000577262958494,56.42840867601787,52.35401376398483,54.752335542572084,52.628472606869295,54.88927266311114,54.179447636081235,52.67640965125822,52.35610907486764,49.582414318474456,49.50730296170004,44.54503291046,45.71094870037846,42.217557290946225,39.2760339252012,42.212764376028844,38.79592475598949,39.16644071651956,38.75310929008502,36.862648430341395,39.12510645369886,36.5423832869006,39.5930282109381,36.755844259823824,41.97657007895656,43.682749491896466,41.005785811224285,40.026464851040934,35.295129526864336,34.99249194048051,35.1459635025581,33.04464376914355,35.08206144987865,34.70218491366437,35.41407990170146,39.16677680301953,34.81390668961012,38.42381440558598,37.67030734222187,41.81580818423744,36.53013866241434,35.06482752278525,29.8918424223529,30.645545814079,29.900727907079606,33.44493270746037,32.298944318190046,36.33394338683446,38.772417713201776,37.76404141087882,41.467411691586406,42.84496238081809,40.21134870891875,42.28013726936896,42.31641404502162,42.36316383355472,43.98499638019738,46.14875077407554,50.0998252039427,51.742986073524854,52.68327273619613,51.7928446249325,48.99048962124422,48.01441606616709,47.82350466852732,44.88631788372311,41.527101540567976,44.73802430999976,39.39464477705899,43.35655484709511,39.946519623394565,34.24663201588506,35.680593190670244,33.33504181361142,30.61362071912563,30.035587677704296,32.521296297319616,34.152611808770686,39.2486599554374,42.57008372561191,45.88647131537814,48.732786166743864,49.42460236168342,53.70214457433591,50.62825147250476,50.72435524379283,46.168622299086685,44.49943853920759,44.78777787903206,44.957507248194915,42.84900375473168,46.54681633470427,47.770584709538795,48.52984586430269,44.54330688108186,44.057665694699956,41.50539583733681,41.465355231490726,38.47010224717516,36.85585042360227,37.18526104524981,36.15547070403136,33.29379951821982,35.373547017474465,33.343186692239414,36.16570962031299,37.34841350898887,39.63087509534096,36.491744517793556,33.77789360636778,37.639094801245164,36.9504624014706,30.947629318009287,33.895538396825955,39.16991820052094,34.86479895391917,33.03057561820772,36.47765808291104,37.53992516261111,33.27794087050517,33.66455160198725,30.796349821503494,36.11878109426055,29.824729433262192,32.830148209230146,36.669721960998636,38.72731551014199,42.21854694039016,42.99115701471349,45.385869056153965,44.51813135792361,47.12937907897176,45.873877533890564,47.60208349363648,44.64218063263317,40.140017768846874,43.368093815559845,43.39674482739712,38.72535331508917,38.02107898204868,39.57349463018988,36.230176788300646,33.26446092761499,34.008933257676844,34.17342070105313,39.54747134914737,42.21819507854605,43.15843630203495,47.14649935831876,50.57140344548913,49.66336049443359,44.81189954215584,47.188290409674956,49.837391992699956,45.732881327090794,43.31796300514269,46.95852640861038,46.59226690787511,42.43820193150245,45.253876627057906,47.36601426306424,44.29814355084765,42.56176587826755,45.319419222980166,42.59087454943903,44.84698639989295,44.00139466605639,45.2833802129617,43.08078300563715,38.64872630909851,40.32588736991837,39.41627541677655,36.56815568284677,34.79087140708196,37.60896584580226,34.87584695903499,30.651813490054312,31.812527390497465,33.57130414004087,30.33561397801173,27.33368124980813,24.985881643523637,23.61604836473008,20.92847544096861,25.316379708161204,23.620828464139667,27.242787516083816,28.091563450170533,23.270099877894026,23.09768884927132,21.249332614126224,23.234114240332993,27.790401025309166,28.839892206257794,32.2458083595193,32.06083624452366,33.5277866552318,39.00619251111718,41.256413821954325,43.32766675108596,38.193439128151084,38.578673265124706,42.44156631634984,40.37046316549872,36.80431161095432,40.301037844185664,43.95522101488561,44.77094652338742,47.22417373615316,49.47053278218218],[35.76470390861914,33.24372585989772,31.96678753650534,29.820925782657675,29.944500463768456,35.742997844513006,36.712983568723175,41.013641520746205,42.12781425374378,41.75414747850396,45.311337657761655,48.220846827309714,44.928763679528274,43.80338307722421,48.44956692074969,48.69446125155843,44.660904868692406,47.608895804759854,46.84704240089727,48.254856209263686,49.57613096711943,51.473149064899104,50.96933121197558,48.15204346615637,46.30520421843404,44.65280791874871,43.92202041790559,42.55200716939489,46.071993772075075,47.94010790873652,52.99640065036814,52.765836627736554,57.2084251996987,59.34642591043621,55.6218256503742,52.31073503296202,51.23756151879109,48.27362187735164,45.66515240286523,49.271080476597504,45.02038612227364,48.09504780584198,51.472869528856016,48.679024704908976,48.54434290896621,45.09475053727495,48.22152637949531,49.972814207046326,45.152936319430104,46.08433762424575,50.13785106416929,50.01064131724998,55.057463116506014,51.74380661422404,58.06915733941456,58.86759615876181,55.25725919614277,57.41472439601965,61.583164042083794,58.91079104110499,56.81574712640763,60.39738136883396,60.458235797154416,60.834487896084894,57.11993977921861,54.9147412410973,53.11747939632687,52.61505594331554,50.162650093264446,50.62213280226035,49.066510388129544,51.72952452910924,54.13555315906983,55.28565239596727,55.80339850959457,61.37467503954239,58.531685148269645,62.42503217676676,59.76348292088475,58.632988500958014,57.60452990758727,54.78820080231729,53.88567197043,51.81684543864338,47.882279756176246,49.61722690473736,51.88063538185078,55.201002095000185,54.661861633112245,60.054403031666105,58.337309270351774,62.07916220134216,59.97796212983446,59.130242014846836,54.85607666349513,56.607477275247305,52.63390584802664,54.57251671288341,52.43102175175195,54.625435390809784,53.45808935737796,51.70918669857497,51.072533889540615,48.125163135449505,47.480277834996045,42.70955782761468,43.584522772372715,39.854623062604745,37.29130713536404,40.5211868239154,37.5513015864591,37.88374726089831,38.06910794114814,35.99958691304898,38.68381174853516,36.02742082237546,39.02637526252523,36.16606812529587,41.526026555394644,43.36510863720135,41.00041488381133,40.09289276884738,35.35438480853763,34.965256270257605,35.12783248983002,32.33132671862237,34.390323758335235,33.384962550967664,33.68026999241167,37.01962173913369,32.34351881504609,35.598122861379075,34.65084022362556,39.07888178547693,33.93861150045745,33.04685349373713,27.788320720498177,28.983364365981206,28.68426838061565,32.059648812133624,30.995704793931075,34.786483305414286,37.58148744882585,36.51035148247485,39.917618763867814,41.566856589481304,39.08282573260881,41.3043923339668,41.22298618733458,41.7353808982098,43.18918846519693,45.85591922199269,49.55983134779468,51.753154741457315,52.63191228521963,51.34447907601692,48.48646376856546,47.12480422674,46.89413131420369,43.48484583477569,39.85843806153483,43.1734977739476,37.675892828603885,41.30799141242686,37.499487931231755,31.82552423232149,32.754837008782985,30.05173894702779,27.387695565090098,27.40970402736861,29.889926573988028,32.00636716778888,36.90012144877006,40.34742320588891,43.8551138955958,46.80251096460197,47.91316147817506,51.84362807909786,48.51359522186426,48.42750465301947,43.64059138565183,42.216354623319695,41.91259339213884,41.77177640224047,39.88520794114079,43.59839967692641,45.19991041600846,45.50619878348025,41.59357828155757,40.758715248848496,37.943334357066654,38.196507030098864,34.9727600504956,33.439740091533096,33.68192762199996,32.53222153329077,30.146146703193928,32.28868030943679,30.648720423438576,33.89044351243967,35.07000681889896,37.773756771267166,34.83528043174082,32.05723801699533,36.0628244292277,35.88263145063772,30.026325240315106,32.84951124247369,38.353920670345914,34.6101891079957,32.85205763159906,36.33594299046727,37.73488696378785,33.82797046107515,34.14603414652824,30.949899769782103,36.108900440670155,29.279376677144423,31.934240315619043,35.83239799815839,37.30150990504926,41.084741309099606,41.21918873784014,43.555543216388365,42.33547953807705,44.71390287281175,43.45197528226775,44.74607131877465,41.876226349240746,37.485007266820354,40.41502246307433,40.11860803718757,35.55561140509141,34.86303973878388,36.01878854212543,32.58159436010687,30.00946788317157,30.549924271298536,31.352318909459886,36.70069828028822,39.31892370849604,40.706067375314014,44.743976589386605,48.40733967835704,47.590951864687824,42.75039994405692,45.460501184639874,48.29231097285198,44.285739452260366,42.00896425883675,45.95634191186779,45.87349506825061,41.787194681606465,44.456173306633254,46.90177202658486,44.22135470541148,42.269233780418546,44.833737211319544,41.837924901397805,43.66438817739575,42.49386432477054,43.47458099835774,41.67738169758207,37.323131685291465,38.36003247657741,37.52226647357468,34.99160338777042,32.766929174154726,35.13770097018111,32.80196397803855,28.75452741442303,29.200647797882546,30.814431242220856,28.04226540418258,25.188297292499506,23.46965580514602,21.924595139166293,20.09806474805725,24.82525268611531,23.501834450566502,26.699121725131743,28.107317583283056,23.52883443273366,22.569468334792475,20.124730200888614,21.514847520478067,25.99535017873564,27.36156176824858,30.297837662458544,30.70226357022983,32.620989874745334,37.91197611138097,40.33449826418002,42.52379181662845,37.61629891429297,38.30091391042406,42.33640645921756,40.27042044200286,37.13771102672001,40.75017017076008,44.46523243850004,45.165544916688226,47.55182964726479,49.7357076240399],[30.878589361186496,28.16711172023682,26.612591329362314,24.465253869691576,24.380221279064706,30.267094251954585,31.24409159839666,35.513817380864005,36.76696953108294,36.54469255252495,40.15979940417432,42.93176566645709,39.75637884967461,38.82178796557054,43.5065197880122,43.69044914281845,39.819592412168596,43.002573250318456,42.64686615557489,43.97532434518794,45.63093574287426,47.649510899790585,47.4324922401507,44.820197874254994,42.634678474564886,40.79110851966396,39.715118494339656,38.06569629920599,41.371170472791846,42.98456370278415,48.16922676493906,47.68417123680313,52.129943156468265,54.44718577407944,50.7309287145309,47.58425996934855,46.317636695267964,43.70599600371858,41.19957372222321,44.99239038378546,40.98624457092759,44.073670447866256,47.5720970145861,45.02029126904334,45.27827693875739,42.03441496443872,45.37244238158658,46.682984954766695,41.64376997174716,43.00295056221354,46.81133079198266,46.36345269712336,51.37060182576444,47.7439932451535,54.01963804054149,55.13120647811875,51.48863360618049,53.2998193624959,57.64543122266896,55.3194321749568,53.02950306901051,56.42438088980393,56.25841778140115,56.96055669954964,53.32089947389263,50.81250383715171,49.102691995599024,48.29191261103811,45.99345568300863,46.19700400282353,44.832229589667875,47.66832716451217,49.8557719895395,51.191000735257695,51.39027260559063,57.04606735617985,54.180749374415306,57.9221742691365,55.27121182679415,54.29758703863997,53.0250583463072,50.31948623205826,49.10043361860429,47.18598170041982,43.3669481695297,44.941861218033566,47.37304495214686,50.418028620868846,50.10223394815375,55.331300990022875,53.68873617358406,57.506575423180884,55.26969162085607,54.24185808700513,49.90761550409708,51.67281251988534,47.65793937876271,49.412813833925505,47.152930671020975,49.19627478139225,48.144984971950784,46.27279799127505,45.80721806660571,42.76088042722082,42.308948815547815,37.410699618132476,38.356558867483656,34.72932667536996,31.98861741732205,35.12281246615312,32.03853351186443,32.468874030093595,32.62885962641336,30.73268514907725,33.59468754513443,31.1438088594647,34.38805652004063,31.865165586844576,37.472672164846486,38.92153639631976,36.569273053113676,35.39207426091966,30.7003909479121,30.006668581223405,29.901929215587536,27.021282543513955,28.860122123526306,27.952713173007886,28.296418301792333,31.83443541604062,27.268382529006733,30.74983055270084,30.01604220393143,34.256759627996495,29.10337616396313,27.97728839654489,22.633835661095677,23.96266258676005,23.859268091529987,27.418973973173262,27.017101947096325,31.070941588866823,33.51228323045367,32.10158254450872,35.528329041321186,36.86625095622786,34.24289158546039,36.21071639826928,35.95568339710281,36.343202980912764,37.688154356877064,40.34947820819232,44.015676010576094,46.228585759211946,47.14483059278866,45.86173226300563,43.07354879745444,41.67383255649234,41.59255538062123,38.166920504328786,34.76100995347335,38.28830262267243,32.98366815767019,36.78168594994135,33.2095786848665,27.729575037385004,28.652930859156115,26.46200950758042,23.38096331431185,23.084720712493656,25.341730742959303,27.31538270867187,32.26317965998021,35.564629168400145,38.99159241935255,41.76871100172137,42.83332969242192,46.815043523891426,43.71214612165014,43.578571332014945,39.034037363088025,37.2390565609195,37.32420148131938,37.49736306761951,35.55943572370919,39.54401756287298,41.09197753253626,41.826091533717836,38.31230353661002,37.359841893406866,34.732067955523114,34.43998893071231,31.18309366799001,29.357502508095155,29.530975430647953,28.42253676035278,25.541633647175203,27.665058288924214,25.81934376440949,28.770403614810366,30.169703453054574,32.61382487612452,29.516032334367058,26.96255521333848,31.066024312841645,30.6163985158804,24.78649444471497,27.918582408629998,33.33628453681743,29.444199464400768,27.92890405622146,31.574043609195407,32.73782264089523,28.940021515858394,29.651986970230897,26.426284978942963,31.832035073364224,25.336990636236994,27.620148286096637,31.672233710408438,33.494369523102,37.57723428793413,37.65240472746471,39.60009376455074,38.28809159331401,40.581556374274946,39.006001685146245,40.66675198346878,38.040457091907044,33.23357756522757,36.20377443441723,36.47163770016377,31.820318430365692,30.76645478627387,32.18046411382077,29.240459509477848,26.23980677255836,26.425362008584287,26.82671512039655,32.00455468450336,34.778147888563964,36.00528439162363,39.91646065228604,43.573305312939375,42.53219072184456,37.708058287960995,40.48675443079084,43.134129054195,39.000728077845494,36.85083850497645,40.80280404719165,40.61635787894599,36.58755517122454,39.48862864873415,41.87997140639304,39.13764613962514,37.417655084501455,40.14059850697287,37.19055775073964,39.026683333892564,37.70590531915526,38.998193093477305,37.338815965140874,32.66307516223603,33.8732166440285,33.41041535704837,30.766540073471184,28.32384016579525,31.292454461878787,29.24334754398419,24.67340024751053,25.21721648330687,27.594680804073093,24.943738217594042,21.63509447245661,19.317362411606457,18.84956457501986,16.583863372349253,21.246003054472816,19.10908908235267,21.919570070967538,23.021623385465567,18.602650677438803,17.45671609553253,15.288971863477109,16.4712082214045,21.035522028168643,21.954208634913698,25.004717829891053,25.191215123425398,27.108544804869158,32.42045742567187,34.90146365489143,37.003737840952155,32.069394408499875,32.86952276690197,36.8907877864274,34.74523118560331,31.73068571522264,35.44545810368531,39.11459244311028,39.82187709096749,42.250336680086676,44.42687659133625],[29.066003322666113,26.752854990388013,25.98658052050163,24.03643610787145,25.067691539774803,30.40333529799747,31.95512902515681,36.32761268876881,37.39550717015091,37.63598017023557,41.1885143838454,43.95332663740208,41.32216051238411,40.188010688725974,45.07743962180855,45.51169059943898,41.91164588768662,45.352868490494636,45.31251903619345,46.89131259887505,48.73868712967893,51.043559037528794,50.88306052974281,48.408217463080184,46.140854045805945,43.99332620777816,42.84756226887848,40.83802126069633,43.91264763286508,45.26593711716176,50.25154588097739,49.710380190592225,54.060286393128685,56.67669153679154,53.12861133700192,50.15456195453116,48.85560738908138,46.68014312379064,44.38583892462793,48.489068777117836,44.59100281498345,47.508100447349285,51.17386912019869,48.8421295122687,49.25851227834745,46.161047195970056,49.629157042165694,50.77774392608673,45.68673335843415,47.315734248350374,51.018999618327975,50.368409476017014,55.32824153288698,51.474982658974085,57.71415987965792,58.99063381440446,55.272169542811916,56.80956470426525,61.27286496778971,59.14390498072674,56.609915782183954,59.76724581843497,59.35064652173972,60.161569406663354,56.67279501782129,53.98028638273042,52.00205055841862,50.92622931481869,48.42584998156908,48.27005953922481,46.86580053165132,49.586183992523075,51.8977321065312,53.61357660250386,53.765881939447745,59.59069447027743,56.9877087426669,60.63870398912767,58.17114298223738,57.48110365382854,56.07667867078523,53.60680615844929,52.06377168366878,50.39295482111673,46.703900753857944,48.00436924603621,50.489825193563696,53.21342246209271,52.94209963165611,57.91658374780746,56.13360309086567,59.833685088655,57.3545984384733,56.13366836963064,51.65400084414596,53.14040539685097,48.98548276100749,50.937892038333736,48.517417575084465,50.303616418136926,49.85538688422716,47.85528000846093,47.91066417727738,44.70162183829822,44.69854868659591,39.53315243067365,40.41299413336937,36.94015773411204,33.775793622781435,36.78885266206771,33.427956285592614,34.343232506630905,34.123036977218405,32.70765362383721,35.472461222258026,33.312616110158665,36.78944811714464,34.51459121761953,40.1368283806662,41.250747749630754,38.65154258590554,37.20736416292649,32.567817826083484,31.672299438102446,31.208409346794273,28.84958399908222,30.092461307673567,29.84480942878614,30.284512096762267,34.247845365079186,29.77752037903774,33.36381068775783,33.1466770687667,37.17550737145887,32.18491978636728,30.763789230755396,25.352906944883518,26.78541629908513,26.637965164333128,30.413288859269194,30.343946626989798,34.617069930768274,36.68874684301052,35.13765754156404,38.7250668033121,39.680825122756836,36.86560105541432,38.46006100541248,38.03068223870926,37.88472089638905,39.02940376565818,41.258338005632034,44.92364668336071,46.585554816607996,47.845200990646376,46.980255068881874,44.44248037962809,43.20675664105925,43.48083476445913,40.256365648669345,37.35202889682819,41.071146274056645,36.056608426538205,40.08863480406689,36.84060589955363,31.532006267019156,32.5311329681751,30.691243465067895,27.377066171436415,26.8456655981373,28.87000537474104,30.60497590781309,35.58605063607444,38.677208195099276,41.945803304425304,44.45170941740345,45.33373758372279,49.46021012115149,46.722556743288244,46.53825594267459,42.33861429818333,40.04624646783143,40.591681666063856,41.06014133838655,39.16108043405638,43.36128085371417,44.81938619889205,45.88069541192784,42.557937955441915,41.60300987555904,39.07182504691506,38.496606813992024,35.18390979319261,33.109584480934096,33.06453035588069,31.709438278842786,28.461512627059893,30.138389893415955,27.693948013321666,30.433196820294235,31.320377369467632,33.56449261427227,30.53070683333378,27.586063410493452,31.34283499822487,30.72963041784952,24.691040747472183,27.50715350656648,32.813916625869446,28.659157299402864,26.747229820476324,30.191505697510966,31.42236038810278,27.28884878443799,27.589238264059567,24.5797207760355,29.913006227750046,23.58055006413574,26.460401505868738,30.35291636563993,32.523899220197634,36.1462868431081,36.90176428155336,39.16989641925135,38.34377811339756,40.99947952502336,39.74350764471363,41.6813908494752,38.711869752635344,34.128717492067246,37.53434356191562,37.80327784907747,33.06617211222156,32.3662410432273,34.27936787919562,31.035437854328734,27.71668328700048,28.79417852149886,28.387291042437084,33.915470892789806,36.47674479827932,37.12155073998348,41.14616007256415,44.42215363269888,43.63313526911474,38.755389463092435,40.92419101287981,43.636106593226515,39.62657415625972,37.05124417978034,40.66404840661347,40.37473258562569,36.18157069230054,38.89460388502777,41.069042552687065,38.122586612048664,36.25969500317616,38.97623314389993,36.2068353572286,38.44724038713231,37.63288535711141,38.958221545593446,36.72328943624924,32.25153940553572,34.0417836230774,33.16688867043953,30.247313825835995,28.536349449387963,31.58259612109591,28.849372091051897,24.428266915983897,25.852138078165787,27.89546118697035,24.582941708527514,21.351914352665652,18.682969284240524,17.78136180179133,14.799099398243293,19.20054779874863,17.293991516097922,20.84668356997515,21.924181462251603,17.13329856517166,16.798681011162486,14.86332008971088,17.061581593451514,21.572647300590905,22.934035166162474,26.498307760779323,26.59786505424602,27.679373609207044,33.16974692558281,35.247170059995554,37.56391686943268,32.53080864294635,32.653988312769116,36.65962788611682,34.95310475956971,31.25508245545988,34.61846041706111,38.44608878176039,39.28582943727869,41.69685871489662,43.89745765037049],[33.82546984119106,31.613805514107955,30.826561119154256,29.29851512837789,30.10100042359015,35.64825877131493,37.21460514568771,41.51201145206834,42.75937007702861,42.96657750625957,46.5487847709837,49.27373612057066,46.50190260089559,45.467372831712325,50.28959150736473,50.61745121107054,46.89977502313714,50.20356873714724,49.92136532202785,51.35927921764429,53.01202655008189,55.06932018214766,54.787985798256415,52.125971394439894,50.03135123028957,48.173429790133454,47.141192584412906,45.41837832886636,48.647255230052274,50.12352193354449,55.25007845924082,54.68071636209329,59.08619019704965,61.57954514677353,57.91909530145308,54.864233576280334,53.5191254358209,51.08371555040865,48.60122096186505,52.333654160736536,48.40261487807389,51.51859793802694,54.99413682945759,52.39572248593698,52.56928108216727,49.238004157061944,52.46637583661504,53.92291355346205,48.91206076390867,50.01878501730562,53.85500665227627,53.578043629973976,58.589323877505954,55.05836584492429,61.28655305998773,62.433833567256144,58.852865522779304,60.69637429683918,65.03509473761484,62.678554535875264,60.45189772880231,63.86154148298143,63.680318022745084,64.36235467226919,60.73360539437899,58.23985407765795,56.436397023621296,55.58654985815776,53.154271440466694,53.22686011318553,51.784074207781536,54.49199754032223,56.834165757550885,58.331226578014636,58.58643625616129,64.3074198356622,61.543641423757805,65.26197401461636,62.649396843886585,61.71302901027989,60.36529134134873,57.63154401137947,56.27017091942484,54.317361606511405,50.59633246611848,52.226868872487415,54.75340856990953,57.68805386145129,57.46562218689717,62.61058983861235,60.93548027558519,64.7035761080011,62.35544697215459,61.22250580433536,56.801433772201804,58.39328134893382,54.28146010196574,56.13470845197433,53.72639924647243,55.476290125969385,54.851747888584335,52.707259017251,52.61195528020333,49.26732376944956,48.86262659271697,43.81413167774394,44.38072350855658,40.69187906051454,37.77624230125987,41.059823458050346,38.02323658416331,39.024860541672986,39.13387618734295,37.62176727478733,40.531715599091314,38.25345894069863,41.60499900887841,39.13327774112549,44.69715053271851,46.0833478497812,43.58794629977899,42.30147947206196,37.6236405559501,36.83580869222398,36.46663618906065,33.83855325974622,35.067288589857036,34.4999694836347,34.61307388431806,38.289575410086506,33.482329949835346,36.67916744116125,36.368077647479446,40.706036199545096,35.86801369542461,34.940520635527044,29.44701761789676,31.168645357147522,31.18705857717415,34.81535013519896,34.43399237961147,38.46605447361749,40.92103886856478,39.51815423564858,42.96327621495,44.208943780105386,41.518690427285904,43.28564633760425,42.834023785508435,42.92574815391187,43.95281790234218,46.390846923538035,49.89480027154382,51.72238131535473,53.050168254036585,52.06163222783463,49.53043111310051,48.10070205123137,48.37544184638794,44.87846245193256,41.78892916655265,45.52370172720013,40.33129750979127,44.11645433017413,40.50046398951381,35.08749555509951,35.750489782787845,33.402666686304734,30.278494950022374,30.331169832333124,32.45135701500148,34.590907987160875,39.44122455639419,42.67527805316653,46.10535796240915,48.71430317980538,49.87764606351324,53.77921770568528,50.818955814329136,50.50828737394691,46.07436537353969,44.023702503030755,44.01365962955741,44.137850457017365,42.45691243618241,46.59399688845316,48.34913043937184,48.90012791974426,45.409605879930844,44.26628171984183,41.425501874038055,41.33400118225779,37.81389402048448,35.8820940339822,35.71627932990512,34.10392155883309,31.41661612545223,32.979194990830315,30.73964954744569,33.98445885763491,34.466331390179356,37.18957893897917,34.48161319885392,31.13523144404074,34.76647976643861,34.74105713116709,28.7622640586896,31.043034263377592,36.52429505658743,32.894016449208536,30.688586444508466,33.874920873054506,35.61137695091279,31.59379818897758,31.284454526640914,28.191600950615705,33.013281954646125,26.092498684416288,29.244824918087335,32.91911825498101,34.40972864804926,37.73707550002689,38.36862933407226,41.089204564795,40.30344251464247,43.018798349099896,42.1903397097014,43.59604713458777,40.314684762499205,36.29662667042302,39.637583283784956,39.164279698718275,34.5404761286293,34.32545942437672,35.953518260533336,32.05688672130522,29.249723647522654,30.875248104837436,30.94876160727042,36.77663621652529,39.07573157657771,39.94543367904521,44.17475774028393,47.466679366195315,47.06759657946233,42.15556753860453,44.249279677339395,47.298492429867636,43.54004558359559,40.781633079527715,44.471051416568926,44.457820303844834,40.21857398157333,42.50059041194179,44.8814118136941,42.23222158349627,39.93474045999474,42.320521659118825,39.395561632746876,41.44942547335704,40.746767495630166,41.55797924110399,39.26335501362963,35.27148510863597,36.637871248640685,35.29380218452602,32.62794948824545,31.083663752808278,33.256742831384614,30.27248468427546,26.576887532326168,27.703142411955938,28.78696347902738,25.443018431976938,22.817239187693183,21.137198710727247,18.878151431453336,16.892871106344526,21.382453194029306,20.78348856063822,24.506465437686508,26.302807219868857,21.581108965860373,21.024685150400348,18.45122634702617,20.599408628116066,24.93100866666315,27.0890179601483,30.374001037860157,31.093781516600476,32.22529058973314,37.60959670788987,39.603181959378,42.16849893546571,37.314545688247,37.30470768435651,41.426375092043294,39.980825434411265,36.27350196508746,39.462365867672105,43.41292273531793,44.201977048514436,46.490804446419666,48.64325663416797],[34.312414762147974,31.7493055601337,30.221356380311857,28.99556796450062,28.82130290417236,34.906460879909915,36.1862978710501,40.293029345768396,41.954373652625165,42.0236213880877,45.705461710628065,48.24135770016154,45.151655296080094,44.529442979183976,49.172312585901345,49.18237060994995,45.387030197191095,48.602806801420904,48.29566922103368,49.34644449526864,50.99918385110944,52.726737886942345,52.57373589396128,49.85452213635447,47.68346494576962,46.1433551081008,44.94291501060706,43.47187505929836,46.73811303403265,48.221489026472014,53.69375445324929,52.8786045486693,57.37193581095998,59.72096213561257,55.8785551666818,52.82515173720501,51.26914539936735,48.68401433988166,46.01048248634156,49.3108419169985,45.57147010267597,48.97287148539142,52.23282060537916,49.48764501916677,49.697357268943215,46.26923735022401,49.341097229762106,50.76511846680229,45.70785796979758,46.499633949081286,50.25925202007797,50.19072984840029,55.197862378853394,51.86898316006206,58.00269822632421,59.21111058477404,55.8210548261089,57.795816036825606,62.07560297439518,59.72420925228039,57.792841449297,61.39618510694025,61.38986910259194,62.191623629875814,58.42635993448071,55.97059238448904,54.613910495760486,53.85543868280526,51.78789915562614,52.051396065501415,50.79219391814759,53.711904141882755,55.77635232167999,56.99307117793601,57.06034877074667,62.61898697254867,59.525749755826276,63.19337780446761,60.34585342881778,59.144247583489886,57.70402005117805,54.683904101802774,53.404313642450504,51.18043815279436,47.50264748272199,49.46589534253271,52.1452915969005,55.19144087307492,55.21767602576138,60.49055478900114,59.09792336516724,63.060175972575166,60.87147233345199,59.77190310468868,55.46471004007422,57.33692512130851,53.331854987338524,54.77266029972095,52.36787888025868,54.075078600933736,53.03198443982724,50.70544224653229,50.31946134905154,46.859645907034896,45.97709012086234,41.12158040937632,41.46382734034693,37.59371406589993,35.032668714942055,38.53701070452551,35.90543734129629,36.82668839471091,37.454247827829356,35.78624646756295,39.03510013005614,36.719695120562875,40.012249005610634,37.57352593149055,43.22751030367213,44.682150381303266,42.472645939123474,41.242072839913,36.60197077180403,35.73654938829699,35.38393033042711,32.172714080477085,33.439008738657805,32.31329376197891,32.07567405347786,35.36309538980977,30.32409593811998,33.21380842060266,32.735791769227575,37.27641569413431,32.587274228232346,32.14452505557893,26.638974366853404,28.729363853432535,29.15044957850153,32.600299101267865,32.37335514269737,36.18461286784739,38.86609239604881,37.38483778800606,40.55068947493909,41.98593810744939,39.43390037183278,41.305171428886645,40.75604531302395,41.25902445013363,42.156975497927114,45.031765935556464,48.32383396143391,50.652991344144496,51.8763739412851,50.52671497867956,47.93877542784733,46.188610729460116,46.406698045944,42.53042640232619,39.22947565834602,43.03519505371475,37.768205906241825,41.25914678478981,37.3628408684892,32.05475462981477,32.26970850838039,29.71609803606883,26.608957439501303,27.152041665412547,29.203518717259993,31.72148291112626,36.35544118708801,39.6581123745252,43.221940113903166,45.89609826576637,47.40133716887477,50.99760375892347,47.844690031883076,47.38486040909931,42.79435787866619,40.94119454894046,40.460031383862884,40.35201256139064,38.85928141998247,43.017139469990916,45.071745954311744,45.29692220735503,41.95192856200823,40.50208943187066,37.48585564619621,37.55941300798191,33.8604286121593,31.96939181301599,31.719407036615802,30.020433192563065,27.715492621003637,29.345898914193413,27.481813656414882,31.056818961477763,31.62548248894037,34.681555233423616,32.124777921365975,28.830677939029815,32.63166914038202,33.0095698668486,27.234771709838377,29.49545913083413,35.137540183963786,31.99899611042583,29.988713148242415,33.251382353847454,35.17831008399967,31.54655998199521,31.353323319483437,27.9813425278496,32.70804299631078,25.439048928549198,28.083399749256635,31.849406342549653,32.84881818023635,36.56363296001138,36.5227488648971,39.049565735395134,37.861327728425,40.30013969515145,39.35347306279494,40.41848734203307,37.31412781768229,33.27094824584971,36.30120905250858,35.65016955864038,31.105082393079872,30.789509677113674,32.0505016161449,28.184208772551244,25.690710419086606,26.99016060456054,27.652596497921877,33.381162812662104,35.681488719125596,36.97986781766642,41.20520296408534,44.74790249210323,44.34302466069133,39.46329565776526,41.9344523695575,45.08043556331936,41.37106112140269,38.82700296616396,42.808537010963164,43.01915783074106,38.891684961316244,41.12563304814144,43.79012792942977,41.48084177647685,39.09950983117766,41.357733280988306,38.2043096282505,39.82992580597686,38.74306391532455,39.35706438134172,37.53449818238141,33.51823276856101,34.27496031269673,33.13667043140346,30.774512278638955,28.684327031113874,30.561569286541065,28.102325001866138,24.44188131361481,24.800940383256314,25.951498763174733,23.16076719488431,20.56830804721638,19.43131053848416,17.311405573653413,16.199511886225405,20.958281087611546,20.465503960733425,23.576865693381247,25.757568874391037,21.389792421167037,20.03948556743183,17.00547467766686,18.4173456430916,22.640845005329187,24.946342489809602,27.750479683043192,28.947429666601746,30.540006065137824,35.70450097294192,37.89476993560494,40.493237577411804,35.85983912463597,36.2130039662466,40.44497230336776,38.92253863756354,35.70724952797647,39.04702074621623,42.983100294586485,43.66677464840021,45.91715329169129,48.00483373531538],[30.878282703401336,28.154438988847613,26.36353525617511,25.218506874684568,24.811478524482677,30.9879197960105,32.264300481289204,36.31439442157998,38.10834089819934,38.28560933201775,41.99855407494746,44.41284098154235,41.400599836799366,40.945377120388976,45.58249066774508,45.530709102014335,41.86300579666765,45.22339597304709,45.19745870993437,46.16896937156584,48.04574591754249,49.83657046086717,49.88561475910617,47.31510298164379,44.917521869845935,43.26807432911269,41.82520775111603,40.18110826284081,43.28264785579912,44.57952146563928,50.143205801541136,49.13828321049923,53.627254725994774,56.08886323355443,52.25251664545752,49.32255557947222,47.62336642210348,45.28689762681664,42.68478659931511,46.086580014743795,42.53939456105512,45.9510059670444,49.27579861801449,46.70212507533946,47.18411752146089,43.90660362668787,47.11315664223234,48.224862204276334,43.02867681208985,44.109601287964146,47.686820764626006,47.396970226096265,52.36574630484068,48.82956440698952,54.915287382247094,56.340394644866514,52.93837621146697,54.67171435104927,59.064483633171264,56.95939310793117,54.902964991192576,58.375540685154284,58.21885334205124,59.246324727168705,55.53696008239551,52.88118724824486,51.60818851223553,50.64447990449435,48.70802842741007,48.80544282156272,47.69202234820692,50.727423091302974,52.62173886507125,53.94498995679644,53.78624332574834,59.380410131610205,56.26549116430441,59.81764107267051,56.97484637719163,55.8750542606178,54.26431256280663,51.31758667413931,49.81879691447061,47.697481664567825,44.11040112166668,45.97171234158339,48.77090878748147,51.620626147122586,51.81474164293604,56.96661184690883,55.641205874698365,59.65403984198112,57.3848267558578,56.16643743045196,51.835773600490555,53.72695144304057,49.711816136555306,50.996419145425776,48.514252461581094,50.106466277309096,49.125027188087685,46.70041077487462,46.42413603548111,42.888226675547685,42.11857054693285,37.179919728343904,37.554793945288125,33.74236782887251,31.063246796232125,34.52086127662313,31.841079451305653,32.849402253139715,33.50347218968803,31.97206274777983,35.36586117698512,33.2163849774076,36.65757826711424,34.47751834098026,40.2671869307931,41.44664860153852,39.27703272300689,37.870127009192764,33.30267837585573,32.21857361237869,31.666108819630427,28.36537152253091,29.42727749536645,28.3357013854647,28.084307495618873,31.492408663232837,26.50348639523427,29.539243180534005,29.22753373004758,33.64368475241054,28.967676685890456,28.402015438350418,22.837565582897867,25.097296046469562,25.718008206650016,29.252885653894843,29.51408571791337,33.45610120878071,35.887827958823145,34.173387975253426,37.314142589897315,38.53216246976693,35.902171172604085,37.584646053869484,36.89839785323108,37.33490568859452,38.13107567862182,41.026920505406615,44.26553796387998,46.63800018749601,47.882354601002284,46.51608661866888,43.98346750469459,42.18650508731889,42.51342687314397,38.605556760693595,35.467426780914984,39.42454354309378,34.31651080355105,37.89098236759916,34.162699754722006,29.033506793750472,29.200020979879735,27.019761413786522,23.61400235038966,23.977938871551455,25.832755822163254,28.27453139609528,32.90506074172458,36.09393867444496,39.598787761702745,42.146304404399,43.63691645887996,47.24670798266791,44.252359049078485,43.750536412946055,39.33535153302923,37.22033188374895,36.998658448731916,37.11125575205385,35.59416120803118,39.94441237417149,41.968773452904074,42.48722312519588,39.437677044364705,37.89936111026558,35.021526557850294,34.70689384145032,30.979460103221474,28.870152525773005,28.554598785728604,26.867961402661003,24.195766215377287,25.801650701548276,23.774382929640456,27.17895778070841,27.90631423012513,30.805583343798776,28.137189967647167,24.978811442088098,28.885726926792753,29.098519641683822,23.332655851444905,25.820276693648065,31.44058461666047,28.224394733283248,26.395667705597354,29.79660192922575,31.573150138515338,28.048735691277894,28.150596330583145,24.717990129465125,29.64877608854814,22.57426778879766,24.902553417863608,28.82512860383791,30.090481490380327,34.09819426560135,33.966768891064035,36.17314012615464,34.87951377065101,37.245508987603635,36.032689816803405,37.37875582891683,34.46956897013205,30.061279091432404,33.12353719419432,32.92152231025627,28.281987201803965,27.660554864279387,29.12332259320804,25.6428849264097,22.782469923672686,23.796642400615596,24.16592404263947,29.803418014540178,32.2349082058768,33.43718690681245,37.58407519744737,41.14882459307871,40.5668849940844,35.68421638852075,38.240264336525264,41.25937978286858,37.44670843577192,35.001676271995315,39.017787994968245,39.16528702802871,35.077712140317075,37.48945300271396,40.138188218290225,37.798699735485194,35.58056289535501,37.96022567220566,34.81738134340251,36.43154484866556,35.19848420351416,36.05083953076214,34.357730841012,30.061291501679843,30.921601296491836,30.09269550183886,27.639306469977168,25.319095780005092,27.68685186484948,25.479903950419203,21.340621680402144,21.736948250260312,23.557885154070522,20.879253144665153,17.850075681831065,16.222794458525993,15.007258038895946,13.567271677098988,18.373201744874436,17.246450157619627,20.027023077237125,22.06194416182377,17.849372454400985,16.24668625301789,13.274251064052676,14.492293733361198,18.824118220986247,20.889507213691733,23.756091739886912,24.876401012445513,26.476352781395423,31.645353964896227,33.88756200218079,36.436960011263395,31.80431061094914,32.25273843414886,36.48545973858797,34.916687596638255,31.820030449810965,35.232206861447025,39.13273417855994,39.80119106101782,42.06647479531044,44.15243213763533],[28.666927103890757,25.629935875068718,23.248828527157148,21.891399377742555,20.72115029991222,27.156312685017653,28.081318997248136,32.03772643518603,33.95259361977119,33.963685157390586,37.70482944175775,40.04376037131471,36.85091186059858,36.591271373837266,41.11801865437539,40.9270538498647,37.2584540056958,40.62327580456437,40.71838868002151,41.54423857893659,43.541854104080834,45.30790083704017,45.51276147402469,43.05028157364283,40.48379067308465,38.82401318500647,37.20399644483373,35.53166723757098,38.57116855028059,39.82618987199415,45.49840409017902,44.40530665481099,48.91545907112607,51.33626554560067,47.46071419248756,44.55760494616274,42.795712317556976,40.4977760704976,37.9051306054129,41.341051680389,37.89357846846357,41.32505633195431,44.664941680106196,42.19990504902224,42.87537137449854,39.725072705052874,43.02728146422075,43.894146562484,38.61304870252905,39.940864010547195,43.387519067326444,42.914072044775615,47.85400771029997,44.18042151014706,50.25209028041833,51.77976933633519,48.36319083795756,49.9614568976691,54.40970664233698,52.45147620470877,50.33010920081439,53.739899789596606,53.527839347781146,54.69312352690754,51.003269268481546,48.241909553816505,47.10876392676095,46.0637756355859,44.30868025704102,44.396790672887626,43.42592523654191,46.592295754473525,48.28448276803991,49.556787485835144,49.231911405998474,54.7862520672292,51.584566691980946,55.07697283081885,52.198438059930275,51.10984154672823,49.43493058760821,46.513946514010634,44.97208490777937,42.89819642889869,39.316361276094966,41.13022293762238,43.965959886364544,46.77233131262877,47.038688308132734,52.17425359687627,50.92999139623075,55.00656540305855,52.76633503944219,51.540226965248586,47.25729674421494,49.264821509984465,45.31233290227222,46.420826836032646,43.97373495155657,45.64139696045528,44.44087135237329,42.08143582755024,41.648918337892866,38.20672307082139,37.42185882790404,32.53358210021696,33.10156708310081,29.33540853389546,26.723012223225748,30.100587130449306,27.41724520544776,28.163933961201263,28.93388012585392,27.271103489022835,30.77052602352979,28.644611526435803,32.098314539764424,30.07085970716766,35.93550033154517,36.98577887737532,34.956624487743866,33.51330630142532,29.025044665472418,27.84761162340299,27.306419417431698,23.744723716679665,24.993213766633136,23.655704129616996,23.465934809450246,26.8235399090796,21.954209125652866,25.20665145569183,24.740488223928665,29.061325631416647,24.232827615447654,23.55531449479638,18.01387815013481,20.26272900546768,21.04302453384385,24.54881336248268,25.15209689016205,29.115077476780993,31.402794023565534,29.538347226355874,32.6024195776574,33.757648315543385,31.1378400669032,32.81675769111212,32.13484525167483,32.73515796625976,33.616746797188604,36.68115539535984,39.94301349720366,42.57804201191316,43.61400264302585,42.058889540955334,39.42623245469499,37.584375899335,37.78718786238507,33.8523547518059,30.6189559297148,34.57380815544483,29.499361743992026,33.087794819145124,29.447252785819533,24.42628542873913,24.620787382110752,22.74564996291146,19.169340765370286,19.308894966178546,21.07955303828718,23.451349573689853,28.097139244428025,31.263084882909318,34.751581863779755,37.3203702775785,38.793834895674415,42.42027523406576,39.41934585301816,38.965895677446056,34.573349175691064,32.456961637343866,32.38126672251386,32.622434515625855,30.97874464546512,35.368749143273,37.30728853659711,38.04661817629094,35.18097931431192,33.65170515312111,30.95155302532948,30.319830780696186,26.694102285992507,24.511818324098826,24.327326925566453,22.92126101785477,19.953952135657406,21.883003346487254,20.044352302316497,23.198563162889737,24.55447460227367,27.22167167333558,24.300049585076998,21.709927766429033,25.917954883467303,25.83934140853505,20.263071752085988,23.31488649868948,28.81315182295597,25.50282350739407,24.196386762305533,27.848156139159315,29.230210536277827,25.973057919700448,26.7541370300917,23.30248909845939,28.497694482906066,21.94359690291648,23.539519413252183,27.642702502022924,29.15861530601062,33.61717985634557,33.14521292709528,34.754557103887194,33.1298482868457,35.189409983688165,33.447054507250975,35.03922517271112,32.621304588303815,27.652506651888455,30.46428701252915,30.89080738739653,26.26357802970597,25.002845956702387,26.402503519520458,23.735448595582262,20.657108607800243,20.587638400004288,21.042521494748364,26.19167550254985,28.953607200232813,30.332517983147376,34.23814163279834,38.012869103480426,36.99970453159311,32.1849504322628,35.17186802271417,37.90411846629802,33.85788225203674,31.824682320089703,35.99416625388057,36.03412406578226,32.11775319690884,34.9221338572472,37.56355980537053,35.2030725393739,33.38568128155974,35.964056600971475,32.83916340901327,34.28830319768651,32.64168921987452,33.84947835541303,32.60683225961181,27.866445221130416,28.638705641093555,28.475282725990777,26.05731864425848,23.127899886298316,26.127120308856398,24.644980286790087,19.92025568650737,19.92357180528176,22.773757948806082,20.677658345413942,17.21540912545201,15.094968050811762,15.48589251950097,13.914938425692359,18.42940942389381,16.2352469477044,18.12038033733795,19.650681844733487,15.91292286475092,13.793755676182498,11.251315295584531,11.47287083805103,15.859818031385423,16.98935060679348,19.66364154497745,20.499439210168937,22.604148266284103,27.683256610962403,30.2317037660302,32.49711231213812,27.868034812858504,28.839240302146504,33.00132553345584,31.0459272158755,28.450548706189675,32.15455836681924,35.860364234342995,36.47668381123933,38.810884919419465,40.879943753444785],[31.771683349260837,28.827156474430808,26.348181587694103,25.90245160885594,24.492162353109,31.056779876339437,32.164351236076165,35.863698007215284,38.20093094216922,38.42397579336116,42.19794520322542,44.26961770926968,41.10714042072735,41.20695177413527,45.609775993098914,45.19758682643195,41.610544614475664,44.94211354941273,45.06331548591832,45.555632405491906,47.532746914689454,48.95563844494317,49.24832530237071,46.69847535519135,44.14124841436334,42.83399827041191,41.08553122324822,39.652481008991984,42.638372019192275,43.773021830916655,49.72348650464946,48.29636697939491,52.831872630627416,55.22763042293365,51.22418704656996,48.42648674243704,46.37509045426116,44.08329872005665,41.32188492377981,44.17733597461497,41.0503023468666,44.797594941553676,47.8492001148859,45.20124607065281,45.84446981536232,42.53551633995462,45.548953247751875,46.490453780860804,41.21428586909789,41.95368977035094,45.304815466548234,45.21875569308021,50.12413555148323,46.78489150034665,52.66453470851791,54.2957427783642,51.16956935862849,52.92693416230631,57.28123980194241,55.32446485186946,53.59595002318635,57.214773499510486,57.181165748055705,58.45941618351053,54.6496523646061,51.956167853884125,51.243769727092605,50.27373396375426,48.80862749850844,48.99576516914737,48.159210545295075,51.41705867923572,52.93771666223904,54.03489706645217,53.55881160447186,58.95961210526211,55.49957317737376,58.89313866367075,55.80259499286421,54.45761232387579,52.61739908944235,49.366025415196006,47.79758212916184,45.39532607273104,41.98432359730188,44.21571128335318,47.28702301349167,50.09742351622996,50.72632092126511,55.89586632521158,54.9468654393243,59.17053951921493,57.02284705202408,55.75193723734072,51.5508322876171,53.70265696418474,49.8128766302705,50.54685891448175,47.99779593152718,49.34738521507947,48.058155897545326,45.27098375381839,44.83780567808592,41.02983263992909,39.72536057885672,34.99389080408547,34.93061193555406,30.927006845587865,28.629483740360985,32.366121602158096,30.272664585755205,31.433419047015413,32.74015603261252,31.269329353158444,35.1123804911411,33.119261120736184,36.53582650723001,34.595441861528826,40.44108968475145,41.51583645128873,39.68962695456721,38.244093895004106,33.86025830566787,32.5640107194312,31.843747483717056,27.9559536159302,28.682481777752148,27.03819654619288,26.209905416801675,29.141143936335027,23.851857771255418,26.357962467108887,26.11098040613536,30.714056584091374,26.461122249367072,26.587971577628647,21.077971205876004,24.034837110492838,25.326437637839852,28.595611976861157,29.32855507731223,32.964470175803875,35.49184089774453,33.588535559972094,36.31368051173323,37.59205599553311,35.11044507578367,36.71132295592809,35.75908473469196,36.55824813737091,36.99682415105236,40.321058898604925,43.15507459642557,45.99706313958456,47.26674603617827,45.5753862781124,43.13409190287546,40.92116754848926,41.37218874220025,36.985996802708236,33.84294313590161,38.003470787442375,33.018533905755596,36.199187688300064,32.244257829591376,27.494427538526747,26.913335832681035,24.680409105245317,21.16735182684769,22.246794204837684,23.75876299900646,26.677143359677068,30.876417232248862,34.00936643687487,37.61004493898347,40.069453564703146,42.01575541614102,45.17782244615031,42.11191025029968,41.32353569608775,36.89759841054753,34.80358563632076,34.07093634359091,33.98611193666806,32.83513233647247,37.35158367916198,39.81218675300215,40.01099125509573,37.37256193021859,35.317041581393696,32.24406000148522,31.982051940088425,27.928447977114683,25.71290653046436,25.081043035257206,23.061026128494316,20.838332924333525,22.239350097583003,20.527151242666584,24.369789579390293,24.90982827272854,28.247978548125552,25.945242897526743,22.695285555507652,26.60179487297181,27.44281783509303,22.10527831703288,24.245257362455316,29.92940650195424,27.51563314464403,25.834155528459814,29.10667870108393,31.214812507232377,28.259440347644478,28.259570800326433,24.646748112799756,29.138200964003765,21.857864975613914,23.564644112474305,27.405205856625432,28.000822695649916,32.277125081431855,31.451585878725027,33.488464973245534,31.82269248014559,33.912319158288774,32.69831312601683,33.634523884841855,30.839208660250037,26.560372602405497,29.32155572723215,28.844834159604375,24.320926041887226,23.717235197966723,24.8621049297851,21.294026623744454,18.772578884839977,19.71754589779982,20.63795928367777,26.270118616575026,28.55608552710763,30.138806166744352,34.31898014783954,38.0483162557377,37.62678964534665,32.80404959808431,35.60460099049745,38.80633133940132,35.199780699143005,32.888923731279505,37.1394552038929,37.60810603937956,33.676251913788924,35.832930761262496,38.7884238830482,36.93614167621509,34.521579070408485,36.62473630958634,33.266504360026346,34.372216102044014,32.816812174912705,33.33374956918247,32.116824885100776,27.99474509318524,28.124040086236786,27.419199360569987,25.38287772252022,22.587875079435467,24.448812158044415,22.813974473541496,18.94229695021735,18.436252967744963,20.198195246790938,18.228812083828917,15.410416293360406,14.70324080179436,13.6482901612013,13.585234826592739,18.153766335482388,17.53101914498722,19.445961741035724,22.05917201406453,18.57442114069767,16.163796171230658,12.744089136463367,12.934565749800907,16.722552502471522,19.288903459355637,21.474352999609284,23.421696709502978,25.280524495334255,30.045257246490884,32.33450691546894,35.03111498874163,30.818171059524996,31.459244292242488,35.77283761663036,34.38462336203891,31.780331424070482,35.128902925613176,39.01513334612435,39.553012073933445,41.67785327757179,43.644757362542926],[30.310080130723172,27.09704643182666,23.975150937843278,23.555325100267908,21.198646776594607,27.992916282035065,28.725181723568088,32.197674126795164,34.774829615627354,34.865806063559106,38.64754128738091,40.54244441694925,37.20465171739588,37.631844300700784,41.84147234919984,41.212001130655075,37.673919572475114,40.983208335826866,41.25962025716911,41.49003203118865,43.59849918876971,44.90167583050229,45.399875632419445,42.96936152295527,40.22596421483492,39.003319104028286,37.01762972011829,35.62064808672328,38.492348181417015,39.532541527342126,45.65863556873616,44.0425716152419,48.594061474973614,50.93183106678471,46.86214221993173,44.13624041898843,41.935427930111004,39.707251117590204,36.92113909237363,39.649120838559625,36.74843172745318,40.59510655281204,43.58103114367654,41.02364181498717,41.89433042685004,38.70851472773112,41.75312620672515,42.41372901192179,37.04244590030865,37.93023635389169,41.08514490642717,40.87467811592463,45.73281754387742,42.31141560806694,48.115988556956395,49.90524644190294,46.83953004402977,48.46816206341225,52.86295215260349,51.086640112684464,49.381433185434176,52.965363770929805,52.9083106116258,54.373929334604966,50.570981192282765,47.77407695700346,47.32944486591073,46.2853653506641,45.112157816352195,45.306873519002465,44.6715363782927,48.07929721351003,49.32291637340714,50.32067157072087,49.615445337711286,54.914441729979565,51.30426852709376,54.5925537043141,51.41550221882435,50.02351038278073,48.06394530145857,44.761265165385865,43.12832231811197,40.695075497767135,37.343986805178396,39.631878013984284,42.81099106891191,45.560207192850456,46.37253082895052,51.515225115084704,50.737475506749924,55.05734422432382,52.9702195333799,51.6799626408797,47.568937800586745,49.87976940837385,46.0952442486756,46.52630994814943,44.00024167009759,45.34628899403693,43.785293277724115,40.965825730762035,40.34841713683672,36.55376208732305,35.08105091473622,30.459807499947942,30.440387212116182,26.413412202853277,24.313109124601183,28.064328203522084,26.16307656253461,27.125878933505614,28.744713740271028,27.194127058630393,31.23646187427157,29.34047441144293,32.72579005515601,31.02161838871412,36.88953354118319,37.80390309567253,36.21148183155319,34.73253857984759,30.527895500444895,29.101071484547408,28.345084060268146,24.09702457368669,24.859005081486977,22.81041019670018,21.828729647138424,24.53109278038897,19.234452710040284,21.771361727624146,21.392753751938162,25.99103210407741,21.732176054974744,22.017303893653896,16.583968368577022,19.806890588865958,21.486191856845895,24.580301151993453,25.784114430081786,29.297515224400676,31.690507975015937,29.60531779970785,32.11096041380083,33.333847072251636,30.921840830833776,32.47681150456741,31.448239598608463,32.50049341815516,32.90365107155679,36.485886139187215,39.215453047561574,42.40282111689758,43.488922861207264,41.54922568735495,39.053277812884865,36.6911065693428,37.065939710208475,32.52794940817508,29.308377882794314,33.52181459320664,28.635782574019938,31.69248533079549,27.761329808775017,23.27977330455741,22.44667917106458,20.51550768438793,16.775583335614574,17.93478002751737,19.198539883238006,22.224757574894973,26.262491306150537,29.345876040169536,32.95602875344989,35.40245863350762,37.46371067660557,40.50768191866185,37.42385758695022,36.593007726493404,32.188362555547286,30.08766439104731,29.335149584235214,29.320001765028096,28.161757606272243,32.78812454714243,35.300040931166684,35.6220457305926,33.29159319594587,31.088005465373545,28.126001830025942,27.558581138067765,23.478173097620253,21.12533837981896,20.495578687119096,18.616238222008068,16.21329052662139,17.902793856641644,16.51289894497556,20.276261986059346,21.403861214554624,24.643832692565198,22.219365656302973,19.529828907054206,23.705128014263256,24.442737348116093,19.492232764431908,22.0305154273918,27.54522443323896,25.284365616846664,24.144731404158886,27.563208531112945,29.363811629965962,26.822764418655446,27.39738980979482,23.79618733851422,28.356334047508092,21.645363940558923,22.507433741280455,26.436207345366128,27.12351586278684,31.834282729496852,30.557171365469873,31.962800623586684,29.895187364460686,31.603237448813907,29.864231205309625,30.94196951536651,28.683510303995458,23.877349306773922,26.287721283095276,26.39247504752939,21.924922968797354,20.635983829998814,21.609683663292156,18.92336359543726,16.26875170275462,15.940231720905256,17.184113824706227,22.3087117195836,24.904673276369508,26.78991673631239,30.733502225400365,34.7137270544529,33.91453517796679,29.176995615345366,32.466663725415394,35.432019207150375,31.662796383772935,29.796720527371573,34.23585680452819,34.68277183255933,30.976500430712864,33.42264899274118,36.42638771663578,34.68360988050657,32.60911504410884,34.81901590640916,31.45463155057057,32.27784932295881,30.254232331423452,31.033554465997288,30.37446404870981,25.902981454833014,25.755560582940976,25.75120299370194,23.87387968501803,20.381747798035267,22.73145554690276,21.99374722761126,17.682447052942344,16.52087549950307,19.332286701659207,18.17154137235676,15.06013051948011,14.105988640039197,14.670670209426854,14.65746918704737,18.743207499196235,17.31353464541692,18.171640311774308,20.4087585979407,17.639117468519604,14.684086200784872,11.726982924585085,10.560323119083462,14.025545395092044,15.796874504210628,17.477650519808282,19.458891405671853,21.866258951099436,26.36721100385664,28.951170644743637,31.4054377618698,27.352776307338196,28.526237124670708,32.76293899979565,31.08437762276335,29.091167176437086,32.64505188606496,36.322423865072516,36.80170122626967,38.94791468745062,40.850622989017786],[33.89021546228905,30.64322196798192,27.620362253706176,26.317563706751095,23.931337235223477,30.681986668345303,30.910141117427816,34.5228519088645,36.69105560200971,36.142782533977055,39.85711638668606,42.106245996889704,38.26239416949171,38.33712537267927,42.447602067109756,41.87295732627518,37.91196937978499,40.79084097391025,40.37846002064404,40.73013549875311,42.35557348938301,43.53772172219205,43.64231859476438,40.93549314182348,38.58538557009664,37.56888009211578,36.08981133533277,35.11797582309215,38.442657985599254,40.04871575179723,45.9612107593123,44.906953062167425,49.4876778087343,51.42607589655531,47.324582256448124,44.22250936077069,42.47134160226028,39.51263537398267,36.56230453299842,39.226788897483495,35.735690223037835,39.50755499301673,42.431974576910655,39.54249938900465,39.89895568795761,36.44968163465168,39.37846649032528,40.58555676052294,35.44752632848363,36.02519563146397,39.62793823397938,39.68533187367325,44.67345414857808,41.54655375959708,47.574919041457086,48.833654696045286,45.66345890061784,47.77929864575727,51.961206365937805,49.6634578770855,48.09446337653614,51.92995924250804,52.17996436302757,53.163143958993444,49.233428189733736,46.841209218690885,46.23360770257437,45.65590854920027,44.27427854137498,44.92777025454025,44.029941333301835,47.285862818823276,48.78187091555746,49.4371657024714,49.191992735507604,54.382907995158334,50.7734541426146,54.354335684989444,51.172602382018674,49.57061223594814,48.089403719171784,44.70929394920915,43.713929872880605,41.14632254655509,37.44521613850629,39.84112881887375,42.616972531874595,45.912523463180285,46.19492059039888,51.67405621772034,50.71948048872864,54.94329507048895,53.11105694188411,52.18026376152355,48.18837868222345,50.57054793003126,46.889250290132125,47.65239175712715,45.45285174242269,47.36831416081757,45.33627774344495,43.08789073223355,41.90181312754814,38.65685191665839,37.0181373872555,32.71544791863071,33.13817837997936,29.133808919821167,27.41579396914103,30.98661730574519,29.019177556752044,29.152807565998486,30.611987635948722,28.36877527954532,31.950820349299804,29.50374715851965,32.45045333379597,30.1122849790489,35.73503793288612,37.30221710832869,35.729045838097164,34.73695024249911,30.362384163133108,29.52418985912063,29.481020461590553,25.3024264252658,27.190467388628186,24.863763656997783,24.30664033268621,26.655324218251394,21.645023451279226,24.259205488808366,22.943694636759567,27.679915295987385,22.9322864826468,23.159194035811883,18.059521806291983,20.28509997621746,21.295340422724742,24.144411088170777,24.177470387425707,27.46825696168904,30.41353360036948,28.85062339446578,31.44603224219809,33.25207467384682,31.06327188183008,33.25835684175196,32.788908568278,34.208804801040415,35.22405642078355,38.853590124675655,41.926676854117446,45.257106450706445,45.89726616890622,43.79496163194449,40.92679450889662,38.800992930090175,38.55417134065913,34.28265299738983,30.374625102760913,33.979292699342906,28.580621430578205,31.52687688612853,27.25108857738059,22.144891505505644,21.803266703535755,19.0428605062284,16.026970899021514,17.198348056047113,19.234335277263988,22.236392791082558,26.487473552861907,29.942735925506046,33.673173320233694,36.60432982129159,38.49815891307657,41.68433159643549,38.11018815533349,37.62665948827216,32.69136321806757,31.48136004916414,30.335374725057605,29.891153258605403,28.40893453432018,32.41071403154646,34.70692017649119,34.62167997406755,31.492808226192178,29.74894808177579,26.681745154245554,26.793376027987318,23.081554373825742,21.402863021259797,21.445551697422864,20.265328608030284,18.491590929295498,20.96698767025426,20.363568354345205,23.9674030179937,25.724265077543865,28.816370273797954,26.172090710326355,24.04356330513793,28.362442168988835,28.817719528427553,23.902306777038202,26.820560638048196,32.24648451976062,29.64487477172137,28.68263373135753,32.25565238434745,33.73963984370963,30.979838447112577,31.86229054203164,28.32115966645241,33.15897518092403,26.47638863529034,27.50085608803707,31.476297932037557,32.21123578825705,36.92306879620589,35.58942252438081,36.964061996429486,34.776338706861786,36.31636770891624,34.41484842980267,35.28677506280511,33.26202077560847,28.460116339083584,30.49111056141955,30.49189707694374,26.224615725413408,24.751827664469875,25.130604549564165,22.68590217674116,20.59273395302465,19.37555851687204,21.453710787853645,25.968844760025334,28.77657304129637,31.088846978192738,34.818531673146076,39.025234917817016,37.9121077827776,33.30175008757608,36.96687718655439,39.717326272249664,35.77581429713982,34.26295484660461,38.7531408997513,39.059391519195366,35.446158126957364,38.162507948825514,41.08253492053835,39.163722614130585,37.352789096044305,39.70650992923856,36.397429335627216,37.229949681935615,35.067956961404164,35.92462124027165,35.419334567314415,30.86017437368458,30.636686947706245,30.774290899667697,28.946091157706142,25.34005910064606,27.594838010833406,26.97603711950043,22.748240601642344,21.397337080786308,24.013766218235606,22.949189295727763,19.98733752366211,19.016824416654806,19.184063067248804,18.858862926036213,23.272851869162235,21.59190060907091,22.774599010939305,24.522423316073187,21.39854150774181,18.76489288385,16.098943129114257,15.142523611240977,18.770136935265285,19.674968784078917,21.172319439345454,22.48489242458404,25.526761146450916,30.004639185214174,32.892712312892044,34.940131001748505,30.73577896434894,32.387518741003404,36.459716023699976,34.203216598170776,32.47716895881817,36.337846144242135,39.81484438855886,40.2493540386549,42.49302832203127,44.45471955921677],[30.35618550821498,26.956985057931394,23.60638147420486,22.030671364991726,19.12104153150616,25.86192191966432,25.8118137049826,29.363400509421076,31.533528346295892,30.922345007829083,34.63799877935534,36.832504996187495,32.98213228984955,33.16135472328431,37.24855509942242,36.6461221178594,32.77419284682273,35.80118464078019,35.69387910272012,36.0483153488373,37.948911086735954,39.33166528684821,39.651906377364945,37.17000923372555,34.53254494754924,33.253937943543,31.517380396408704,30.26688845645424,33.431692411857426,34.892417286486484,40.82915468845312,39.69239150795943,44.26775646677029,46.31417482675489,42.252244608606865,39.233413634217136,37.430854606691554,34.72333789050608,31.906567682307582,34.93777089993243,31.541496139129936,35.204844376909456,38.32846077844494,35.73015728015134,36.45068111737874,33.279584293667924,36.49724789718825,37.26373727884317,31.952806852574664,33.18211280359679,36.57710067144482,36.17061914991064,41.12303868496263,37.58748706085191,43.64941534811187,45.123786940736785,41.81192594495243,43.57132789398894,47.930045869012204,45.92564682246662,44.041357058037974,47.63815858331155,47.64577930604414,48.846494456712136,45.03004280722654,42.37333806207336,41.714897858969415,40.878377173717034,39.56959738183032,40.019453557029955,39.25780128119879,42.622367072499884,43.954418656268444,44.76685260135649,44.31428545238911,49.58918355538597,46.042245918783614,49.5353384211992,46.431001200169234,45.03846077225754,43.43021479297554,40.260474241986444,39.03304209976783,36.7135431202088,33.025577913871736,35.13632312659958,37.96000499561022,41.049925964186386,41.37761552264263,46.7269049109899,45.7426816084196,49.97800025046267,48.03837930207551,47.00724475970029,42.97767017866704,45.35681520598698,41.673250088625146,42.369080521693114,40.15208368290376,42.10347144774728,40.0861570062599,37.93402299449163,36.7897115909866,33.647136130125155,32.30907405984065,27.885707030846522,28.6678353987721,24.84126630558471,22.950441230243435,26.283048148314045,24.08253421672287,23.980608492097108,25.34658524177701,23.07314953019561,26.707442178607707,24.375740680508898,27.464680275826034,25.41449755280382,31.190537911352536,32.428396900923765,30.88214396146519,29.721837285511686,25.447522897991348,24.426895871727407,24.2980352219451,20.021503270007248,22.046149343141018,19.67933193355377,19.371001590304353,21.92567553501886,17.204151494092198,20.366271768890673,19.034391853073576,23.483033268620854,18.404545408324044,18.137127916342205,12.971184524460917,15.085833684461337,16.234435783248124,19.21383384941527,19.87626131517035,23.424702014431112,25.951252031100264,24.099720487746513,26.772471567392685,28.29505916791008,25.97853943263396,28.033873266833623,27.544222497664972,28.922633485482933,30.048409398996057,33.66495618999581,36.837649914691795,40.21459312668815,40.70804762586288,38.57689740915743,35.65469714790678,33.607951714807186,33.31232929842757,29.165654944826834,25.30836611666407,28.994154149808356,23.70077434703177,26.917859561248292,22.962882676014512,17.958667003625592,17.910852880259586,15.923965914300679,12.395665804506336,12.793795590504384,14.704019481510944,17.41128260272283,21.89137910405081,25.25965527521965,28.900161615493356,31.772343062880637,33.464665841572305,36.862521684957755,33.46137046266878,33.085988040590436,28.335826375634664,26.842923486135327,26.291966499438978,26.278169153934233,24.50267988605021,28.690087829932434,30.704207236210276,31.251713170547326,28.422560374342144,26.821762976858814,24.165648242699397,23.534604422083536,20.033296855735582,18.081291612688513,18.31742497514083,17.581394229074665,14.959061676023312,17.794200640050022,17.144638482697335,20.112608050941443,22.5911378531603,25.131359829154015,22.11357359566987,20.706868091121702,25.202917971104412,25.081719006247408,20.417616073175715,23.915391439330584,29.01704208163794,26.127999144263647,25.689054485322934,29.431876982182725,30.3782490204883,27.81916484175847,29.364130380528973,25.98638607307516,31.053875741093986,25.19352354436493,25.660952054079377,29.723584241897004,31.008639003245225,35.97956933536871,34.66840279123189,35.46538900208805,33.182662455261365,34.54979716670333,32.11674439769851,33.54223670484493,31.99136319999077,26.580993379199402,28.536775699907274,29.469148932527485,25.198616894349826,23.05674672269221,23.706472029488236,22.31297252103515,19.692644003029116,17.463290386732787,19.044327173489364,22.929804829533236,26.120203037912137,28.283194304255808,31.69587596003071,35.95071518497549,34.33239658560021,29.803389953683837,33.708435337543314,36.04533260869876,31.82011203363301,30.67631920315164,35.14596355161301,35.20824850263121,31.76668291101414,34.93003386737488,37.6729432807332,35.587286747969465,34.2803735998349,36.898835373707946,33.756637341827215,34.62764420241592,32.23070250958349,33.62283958382705,33.35109760212318,28.346113069348764,28.400480814962002,29.177696705897095,27.220607415974914,23.324392779169617,26.483807901658988,26.327810893437594,21.50431062342424,20.281777319175788,23.966358110024597,23.125159305307402,19.729060486675007,17.96555258404597,19.603589405327128,18.71873960178156,22.647511615510066,19.94377869750376,20.389125902045098,21.37727141748491,18.812546788596606,16.07194050676289,14.268656344539835,12.601856091111047,16.01364280426976,15.593201802148027,17.01886812586283,17.673284526567592,21.09469302469439,25.500555797828543,28.62353940303423,30.317573133828283,26.044114326005648,28.12002218311076,32.02341179725457,29.397912131437497,28.063471843509642,32.12721811019606,35.36729022261138,35.792614566485334,38.11314559950233,40.076638555266406],[29.098576725501843,25.83174735845843,23.048848641908048,20.495920146934697,18.514855045165234,24.833256023506237,24.80781888830095,28.76515507421708,30.275209761907863,29.481618666830755,33.1369066401627,35.75888590313114,31.986980269508944,31.508666944553354,35.853545408947184,35.6541504075321,31.643022917023515,34.68322406479974,34.38381212362098,35.31255023670713,37.099638275160736,38.933255225436184,38.980266774093565,36.499005614325185,34.02670137587873,32.31013300419064,30.93912458008702,29.426518032147566,32.75007573872756,34.437369990527195,39.906448721482285,39.299363585967555,43.81712381956983,45.90434247926602,42.039241511952696,38.85193540828585,37.50076005771123,34.723425684121395,32.12504633397803,35.83994344360005,31.940383058233078,35.14750227620711,38.6032827239869,36.138981880542254,36.68586666567259,33.606459676474756,37.070136401627906,37.99559452073821,32.82008927981836,34.52421449221768,38.139883338275396,37.444967217857794,42.42122346050042,38.65091324814027,44.91872989098603,46.13704962368206,42.5035361485833,44.20134426321283,48.590430857819804,46.44086597646956,44.1489935008377,47.54813670915634,47.402393604643606,48.3146433740276,44.62755861342345,42.007882034149894,40.69065239532794,39.86048376897272,38.006419712444526,38.37512141067706,37.299520322985195,40.44402797267226,42.18373259999415,43.233289428932444,43.14227900459744,48.63888379338879,45.48251291697423,49.1598857616682,46.35107699508858,45.256771815635055,43.93660258795661,41.16572801560358,40.04634516042545,38.106771371314274,34.22940626036377,35.840364138589756,38.293598306818446,41.427119647702874,41.211735023632535,46.538714126761164,45.114330265420556,49.10798210416956,47.04541883066951,46.09858635980108,41.93479774520477,44.04645281008204,40.233314916054994,41.56178728668069,39.462477010535316,41.76408140610818,40.022343129530576,38.36757876198223,37.34746866969329,34.613918049255226,33.92797090607355,29.340551690383837,30.70127050318309,27.18682578350761,24.882868467708757,27.793294113394644,24.90636975889952,24.49698213662324,25.02305125810058,22.581788421165665,25.60617129667116,23.01482657909212,26.12132485088227,23.73415258430868,29.48806299267727,30.873289132082185,28.92331578411973,27.836330669963704,23.287209418510496,22.569040158693173,22.748917490355232,19.168937051231143,21.80415642948523,20.106356385807747,20.61219256886941,23.705376872045907,19.55990883191934,23.291523213485597,21.93760352287543,25.97349416918237,20.489759969919966,19.235630488329054,14.221570557811583,15.10944121889232,15.186462786237408,18.549571869699722,18.557283811088265,22.572621954327637,24.941604909736647,23.329788369720372,26.54898813874839,27.992977385576804,25.502083101018503,27.698507191087778,27.597047262041905,28.577936433099897,30.21289098250022,33.344098284609295,37.01440312244928,39.92209930160543,40.28859164867073,38.477637611670026,35.40105002610351,33.87248674944336,33.35185359299808,29.844054236420067,25.986375011044725,29.33089907285973,23.914863307083724,27.626740173056117,24.066328659786038,18.65077634160009,19.724242510111107,17.965167922222285,14.815368150016097,13.997338694629851,16.333659960746953,18.18330032773985,23.16886412087963,26.538832385601843,29.99114030428626,32.95699571065201,34.04922883412978,37.98374944201807,34.68768134455833,34.695511870917905,30.02964028158947,28.558322011163963,28.691915341304018,28.94537528128247,26.728664723927782,30.600902435372692,31.992409993871252,32.987169646278524,29.702597523315507,28.814690818993647,26.51549127096483,25.777813711263107,22.850985574382115,21.116876522808177,21.743660545187513,21.42895883503601,18.373984504489695,21.27182735028577,20.236495015911032,22.609177002027444,25.293665064534142,27.293607966978637,23.866621401792816,22.668484715652365,27.162573682095307,26.31606312783162,21.283708793736384,25.234124518464842,30.215961831358022,26.474077631256737,26.038597906941064,29.960646150110392,30.441029453366145,27.38388304699513,29.252823135414715,26.072332758493875,31.60988624043679,26.075693961132707,26.959042591887805,31.131634017127354,33.07418346756228,37.886856157159656,37.15424688383068,38.030017336826326,36.05363077007333,37.654912899963534,35.167878300317604,37.030579534574706,35.397978908584655,29.828923616415214,32.077715214660564,33.30778170058876,28.91613067625296,26.774044834086627,27.77409738259412,26.395584839998673,23.421983356240517,21.455150818999808,22.367705833151586,26.21569596773285,29.527392419239586,31.270622094833904,34.59205674935304,38.66842086259347,36.82030835677424,32.280839942014616,35.96558510048182,38.0378382291359,33.56926258502863,32.37818586450319,36.60616568963977,36.29726847620693,32.75251010085132,36.26714810575932,38.67945287065275,36.0804802270597,35.09823600823605,38.03954096792499,35.12416615599854,36.464851198094145,34.32232631477204,36.10325443567748,35.43746157680653,30.19346115599217,30.954771666562944,31.6878153893457,29.339140150821027,25.823754076411788,29.515364468041515,28.88636707394035,23.733774346753588,23.307022416920642,27.09229129072971,25.653135871709008,21.993227412542364,19.432698330851498,21.11611486755568,19.229662340876985,23.255817128226763,19.883086504335765,20.883491650738737,21.114941323319254,18.012507077125864,15.9810747053951,14.773465973276627,13.936735393845735,17.867104186178462,16.775637099095412,18.95587399537455,18.483603947476972,21.686434972607724,26.48681657439985,29.60632566346776,31.02703646884838,26.29353682121003,28.312507337552194,32.06446782684814,29.083006611068466,27.38287183792624,31.62067665673968,34.7777094706488,35.30064821687962,37.787614110253806,39.88794729775528],[28.346597774090114,24.99625731713518,21.945827114436096,18.792027099768355,16.171071986744924,22.12805479745682,21.41876672248711,25.25054931473615,26.52730637175329,25.278746759130833,28.859295103268845,31.5658538917359,27.51943175216536,27.002909805906185,31.215810801771504,30.99024539974277,26.880004656389566,29.843481005717447,29.55668029363964,30.53380292850788,32.396653687662216,34.38391511034428,34.50332651986494,32.181176519561596,29.57311470473814,27.657767373674265,26.241871498666306,24.620744422531494,27.96631509934037,29.768267959791267,35.128646159511256,34.70573179951449,39.20493722700338,41.191358414324505,37.36875763021453,34.11146596859161,32.93737643771934,30.106394136684987,27.62110598417574,31.683315826334653,27.665775075855475,30.65328178502761,34.26767154320555,32.016432291917084,32.73224452007832,29.906479544731386,33.57958130677811,34.240232425327186,29.076882864287732,31.343115883392578,34.84631555279775,33.77325275955887,38.68434424879761,34.65873563751315,40.977288238182915,42.1762515862104,38.38833197518986,39.89661300033467,44.34152460996841,42.30111717671654,39.75342407231595,42.98363772003501,42.71934644536831,43.654435785247124,40.05151559820549,37.337682745757206,35.914763909536916,35.01902922760761,33.176995781886596,33.54916146483545,32.5220110723735,35.73111978367726,37.37175510987266,38.4095245441616,38.28546102383737,43.796514155674835,40.695692154494395,44.390936865912316,41.66749592101907,40.70422463328693,39.47452281725152,36.92576381994992,35.87213246457879,34.177156716824655,30.21635999226642,31.516985904978416,33.78924207349171,36.92708985249094,36.512727255435294,41.82653448587525,40.30951887484703,44.26694829101677,42.2270299894245,41.35085518010804,37.234840089501816,39.395784484370466,35.66266841847498,37.03993099827159,35.11010910053655,37.724563974966784,35.73883963369231,34.50133709675337,33.23183416571523,30.9486830184157,30.513089783588384,26.10535508308529,28.044298613151977,24.88388498274986,22.708011596190897,25.11990621377618,22.069218522751626,20.903060199239402,21.185060683892303,18.331433121716454,21.05433717225407,18.296365835066936,21.29270910681047,18.925734191446487,24.71324711247629,26.035496588874693,24.15296714765498,23.142167751444767,18.651733646978848,18.074262304382582,18.619443440283103,15.065247446602998,18.547836090795197,16.73487232952209,17.82231136858205,20.784647417986125,17.48009550442979,21.541918236371483,19.84319801057279,23.333639562027646,17.572492507368384,15.642753673128563,11.327881877052329,10.9558799367026,10.508472294018565,13.862219215100067,13.993399736433425,18.209789312973953,20.26108947008021,18.590338326472224,21.93786076763363,23.315814684133404,20.82324003047923,23.184942183136773,23.395643752525068,24.52411218084156,26.60185569295045,29.702429911844572,33.58159315927757,36.61643149230647,36.572615302580594,34.635380392319654,31.338068653417984,30.037257643317698,29.12567431043567,25.98165731770784,21.91450929384485,24.91562057464471,19.47388168844951,23.396373815231605,20.20563644286834,14.834610586937796,16.644893895714254,15.617984943670754,12.741821405410912,10.713946879563315,13.122229530947159,14.199953148628133,19.377753503419065,22.69209660175356,25.980596361780567,29.05529996967088,29.802949611132497,33.981854296754605,30.695827905157824,31.001713483087368,26.41483514538874,25.123989788534807,25.747815803219666,26.2643691961197,23.657520003878137,27.26806942280106,28.17329669880709,29.67307243234043,26.451392946927573,25.9903578738271,24.2145064307204,23.001475754550086,20.703870601462373,19.147199287282902,20.241118093553375,20.691228370683675,17.40181974008025,20.65789990149874,20.001678199612396,21.505575829220525,24.989304449174952,26.317671416055067,22.619053020582037,22.483670003759002,26.960075469027796,25.521288705222613,21.119503146845325,25.521536831584942,29.935442281125102,26.008979933797317,26.23177270763786,30.204252339903743,30.028672289767027,27.281129371737638,29.865340473744293,26.97667367997157,32.56149680629825,27.954251276057978,28.27069567402805,32.373991843343966,34.654568817600115,39.625095718099374,38.80343879540547,39.1113312318721,36.985326048569505,38.28622369926988,35.31001092853391,37.4947369897131,36.42416320760851,30.511823670764255,32.42870537314091,34.35608446261415,30.19238604841108,27.506695083552277,28.43691592308024,28.041076087026124,25.021163203349534,22.043875581999746,22.830009572748516,25.62764104492324,29.213955746323155,30.966039686108175,33.78348950524081,37.910454793594226,35.48990425528206,31.234556842306983,35.238508033312385,36.76993351595927,32.07410016322508,31.48073326493253,35.61708632403134,35.040404932330716,31.836393683606357,35.79326759200952,37.97400522547397,35.2523599802594,34.90111630019299,38.051341838964774,35.362126381235704,36.63393110171866,34.22062999257296,36.44314427274321,36.143277140867035,30.636521406290452,31.49189822785794,32.84827594000707,30.546759849420663,26.80294032182875,31.013879834098272,30.926363107154838,25.562207631601503,25.04507560358073,29.44615674324322,28.384719693666586,24.63076925283981,21.763019749668857,24.363465587236487,22.30836286831723,25.788596820151124,21.752701088186033,21.999118877906003,21.332860970150243,19.012041169573347,17.123784018872417,16.89908982467612,15.49275813565779,18.742524113910836,16.120764254421193,17.874510684178162,16.324821126723176,20.084172819375922,24.49738014032232,27.90751692898882,28.686404834173416,24.00661558325493,26.702665423134096,30.06118378959839,26.447706208738047,25.47030004853156,29.957301699975876,32.65516240029246,33.107704732216654,35.658345224335186,37.72493350085203],[27.748359335254122,24.251185118833,20.60756526024834,18.661132118880303,15.124521614691764,21.711293289963137,21.253027045143675,24.715664386826862,26.83584825190293,26.097768302104736,29.79830580602381,31.952744598540914,28.06868468034755,28.34219049937527,32.389934543350535,31.765947184408173,27.98401559101699,31.157363426805492,31.375518994246256,31.752729746877186,33.935315780902414,35.545963855567386,36.083087753344856,33.86590302023592,30.948712864893416,29.373965154433638,27.380402154712822,25.81058078343431,28.791077940532322,30.107072034333488,36.03545794590647,34.848650944757246,39.4119111606053,41.55781533108116,37.55310115166273,34.614162817679,32.79445100868678,30.358395948536316,27.72084762890967,31.183260241968583,27.886727031673313,31.364437321459018,34.69885964810497,32.446779967792466,33.535862642751404,30.71225412487157,34.19308821669649,34.502447176317176,29.092288070406422,31.029030149917556,34.16949102898031,33.259138987742354,38.12211699127926,34.17400740021046,40.240484064313826,41.90339747704935,38.44654105022743,39.81781931841843,44.33751996906257,42.635921648232106,40.41295656973371,43.73090673665321,43.4800973820496,44.88523023417333,41.2104989566467,38.29158892282241,37.55292636923915,36.4467823537346,35.203036855881386,35.43756304588463,34.81730250946601,38.280459088381626,39.4427589029737,40.41988818673768,39.76381155383457,45.12388642906281,41.661270594959056,45.06586925388024,42.06548226233608,40.91317651885759,39.20009562070516,36.29786793839667,34.8464328365957,32.84038080936083,29.175670117465067,30.915971338156883,33.74382825836839,36.610103660259504,36.94478790080998,42.14601043881453,41.10895211978923,45.33742879964456,43.29001232104592,42.16810179364549,38.10456200894048,40.47668707215566,36.79806319280418,37.44724944971098,35.23528233083092,37.27180483210518,35.25103179301597,33.2694437770114,32.14456071341451,29.18691109838748,28.232564270799607,23.723067885949042,24.991961764386183,21.471444040390157,19.416128702507297,22.35184064892097,19.854175577586844,19.359916729508054,20.553447746221174,18.18945771778737,21.83199418727374,19.622891287953248,22.85458406299171,21.152417296344158,27.04535747288794,27.913164379744096,26.40110466092235,25.06856793144748,20.938485635112393,19.726804359794134,19.542564518862314,15.17031876192946,17.488563028134795,15.084907551142464,15.212233727242326,17.992245843229913,13.876019225460988,17.652064805009363,16.307111727262942,20.210072909298066,14.809519848640273,13.771492585018784,8.69237676207252,10.392619354018542,11.649697187185556,14.772907663158719,16.230977178055284,20.02017195742099,21.98642413193749,19.81836688705375,22.58047184631909,23.756369297523385,21.29629637872944,23.203037431954886,22.738431899745226,24.072586652227763,25.392094702951493,28.968402996664977,32.28556495760176,35.70064651500796,35.98934242086469,33.827307434363995,30.817776147350422,28.902773928145855,28.500214392491824,24.56562833761098,20.758027054898562,24.469919347610844,19.329671126318473,22.872502643785733,19.398956749472543,14.652917212769609,15.089391606584838,14.213980686290268,10.462792384275254,9.563653569225975,11.19182522288822,13.270419852304599,17.996705929450624,21.20885285434536,24.68998907408637,27.494087429510227,28.899567564904903,32.56218294399899,29.365595353919254,29.156567323950004,24.662315407029837,22.892225981415454,23.09609012339325,23.585249604052343,21.469133595086802,25.733537415549176,27.344509883406104,28.606216762215823,26.122512742034946,24.77749460516283,22.68086656188394,21.253184873633774,18.205989700054293,16.0896628639041,16.597407938905896,16.487877819022206,13.078152589480682,16.17201700848505,15.541172176708676,17.51450059388984,20.79263536177312,22.574005969365608,19.172619583340865,18.748541535902216,23.276692688537192,22.45812272085797,18.272040249953527,22.31777568211402,26.890065372909348,23.716921198654813,23.89998821273923,27.73005308247699,28.032539398283554,25.743462071640533,27.993199563079965,24.90250043843022,30.078121668727704,25.243740322604488,25.14643723836035,29.169836817352028,30.978387926407596,36.08592987289782,34.83807914562174,35.05436621794892,32.72039681639156,33.88297533386673,30.950844494855286,32.91386789839638,31.87513538164053,26.012360534388314,27.815706022060812,29.648355778643758,25.52588007272302,22.807197972448883,23.68223944104538,23.362196879093748,20.410172152126513,17.309278291312634,18.262276588164337,21.207426977758658,24.715954502657496,26.661559267171835,29.628820888663768,33.865644210577855,31.694163244163573,27.348023075199503,31.459714256522936,33.28414527978159,28.78496010001815,28.107092279533813,32.475193616185585,32.247404749446034,29.055701505048265,32.68529818746379,35.18251034257916,32.922310284839604,32.211585216890015,35.082712249212726,32.181133768142686,33.08493785127323,30.483713857748867,32.424213084778444,32.39921775549769,27.044988471741263,27.400070352230767,28.815494117581803,26.78492540711837,22.74295823358934,26.691849283959474,26.977581882177017,21.79274101328205,20.7663407424473,25.25082067542779,24.639338993718464,21.03394160729027,18.64811976004393,21.483934566098615,20.153961644036777,23.423468311712575,19.8562816718703,19.516771751495526,19.55567306183093,17.758921642750956,15.142288793222848,14.498873931777844,12.295441340906434,15.07107379737226,12.92954643335939,14.172555226287864,13.774548668828134,17.654981697921205,21.873114100852433,25.252885845386693,26.453490987396496,22.13558740572201,24.74045703976599,28.369238484214716,25.271944276345955,24.455335897618664,28.73170751329585,31.63931895261801,32.04921732188841,34.45501557156047,36.39748841820531],[25.327160248309134,21.913780760957472,18.643353942638775,16.794301450716798,14.159993256277383,20.79885151515278,21.014425972633457,24.783944058218975,26.827331665355096,26.578932929217828,30.338519616308684,32.53821791657211,29.13285213737108,29.191205097949517,33.549651445260245,33.17368724750777,29.594254752200648,33.06446811347541,33.541474778437525,34.19391150513957,36.52266829359564,38.39314727878468,38.9288784016934,36.78236689674054,33.84588305288792,31.99675984065324,29.991681324885885,28.072663443782805,30.879706331653967,31.961625180956997,37.75522970458215,36.50328058677425,41.022317762864375,43.467059591326155,39.589717345697906,36.790058673431396,34.927460176077496,32.88607118382321,30.435425209076474,34.16573288199781,30.944009724151172,34.26718876001337,37.74127556303645,35.63895141069536,36.78777259794462,34.02979664292709,37.58100211340771,37.85637209653337,32.44066571803088,34.48929297255396,37.589386753115946,36.58615387423135,41.40771012841798,37.32752448152725,43.35080898953991,45.12947877695592,41.62461489699874,42.80536728203639,47.407402520512306,45.83044208101362,43.43302979259383,46.578233094318065,46.133665741537136,47.60269903527295,44.03739824929902,40.98509936916994,39.98050351011558,38.65765855611098,37.179998142383994,37.10276462157825,36.40700679559021,39.786065147049015,41.11258487965013,42.433204313337164,41.76686325877626,47.311169688705725,44.06988948495577,47.41835555963065,44.56699260179169,43.64794702879377,41.82261254796368,39.10679552389853,37.36025185386693,35.54576680773555,32.01313254677473,33.526194192045985,36.414455968844415,39.00188002418678,39.377889362525295,44.37740136451952,43.206112015222836,47.35001585851181,45.075111161511906,43.77109035989955,39.52767909635975,41.66389360705931,37.796081969188926,38.64542965879567,36.233577441029276,38.02353574228778,36.57673569831296,34.390647746577706,33.80288177725755,30.582074757172972,30.044084752584087,25.156518579252708,26.266792982300778,22.78207842449627,20.147033198156425,23.136451086081397,20.24984258440495,20.44453304342553,21.24251656682503,19.40430876969496,23.058308552057834,21.090049460927556,24.66094052493239,23.10386709294922,29.09924842148965,29.714265590555705,27.890286901973983,26.270783486682642,22.0153825552857,20.559071221218122,19.94406429123099,15.992047828553414,17.60337633933644,15.959021111606557,16.140882013033035,19.604392030885826,15.325716750512276,19.23353211288954,18.594613614067974,22.390964500222072,17.23115939568219,15.902811414772014,10.462688422611476,12.48498071983196,13.584039291624276,17.132909455626557,18.74856172892741,22.831788873376354,24.532027336894714,22.27111979838708,25.264722679420842,26.081582278465632,23.383154108620992,24.913540001474086,24.2256113916813,24.97389166122058,26.062810571515456,29.30004304121995,32.671598327029535,35.63688105741682,36.30056292544585,34.504241082400064,31.70956171169185,29.894074235808983,29.900076670434714,26.071014229254914,22.797797763149354,26.78178580370606,21.906306308949265,25.69827036911498,22.517283643726213,17.9028829053012,18.39047453173521,17.63480818151053,13.75889909382,12.848387047111965,14.235530771130607,16.071788220312865,20.82155879175462,23.81321555883823,27.153047349548796,29.675317724716173,30.943144514651742,34.74437753460914,31.89225998294607,31.59270569912315,27.430341016065874,25.111734138523556,25.71466723510021,26.440109898003538,24.454507057474437,28.92349782340084,30.504086668452377,31.958234591119545,29.5719268524619,28.206071638739346,26.088643311870943,24.57975502932255,21.39032664461467,19.02952017255528,19.16965385344967,18.539920876709548,14.73941831349955,17.216008320216698,15.688027109524851,17.756924325504873,20.436338786668628,22.246198322593614,18.782847300710728,17.664889769126148,22.16101322781628,21.24575914636893,16.397090362740258,20.435588632480098,25.27451529103706,21.738247291279944,21.536921498256923,25.432375923126564,25.887772080825616,23.22069826833775,25.24039039607765,22.089010819246823,27.458354194257346,22.41801213128487,22.738334422515734,26.86135805411518,28.94100476528521,33.877071949821,33.059940058271735,33.59910274744515,31.601847429892068,33.138747401992276,30.49291207603478,32.68164611588023,31.21438521559455,25.418969945665573,27.759152959652138,29.483974519835705,25.094646153868936,22.74140936595116,24.153702169729527,23.243570545193627,19.86463398419061,17.856211873069665,18.006284813591325,21.759884650302087,25.083495416207803,26.513932487556865,29.779265765747315,33.75217744688713,31.876197624751043,27.311829619301513,30.916095677944192,32.94285692389815,28.475629710095685,27.271309020346163,31.507297718286274,31.22968608215586,27.732264105113504,31.270496174040353,33.710114716036934,31.246937016319148,30.314291098680478,33.242751695554325,30.3490330566501,31.597330259718294,29.36068974634197,31.318357142135557,30.78294534725845,25.415277268602374,26.255029821673354,27.286058925844486,24.944293875536353,21.314904880864386,25.441047189788893,25.122022105834336,19.768880726480937,19.425841753781942,23.784841756668005,22.58971809244646,18.80568964041033,15.981117034649307,18.742498577737898,16.969432188884802,20.32140408952533,16.63428030070071,16.759437362339124,16.90212017246541,14.583181673163093,12.098552894614993,11.385013548438916,9.768426358379138,13.234597306950674,11.700589473516693,13.944128096546395,13.627127203613027,16.705365713150787,21.487358966765253,24.566878434620765,26.14602605891263,21.510448732554973,23.488176214649666,27.339588476667323,24.61444255460238,23.015500846399302,27.167892667202764,30.38942052835256,30.93529903210686,33.39248670487585,35.42898744279229],[25.342172372217984,22.038971165050704,18.93793202047456,17.97263344427336,15.804081046390287,22.501027166897448,23.289560510389826,26.988308578455953,29.311537743997444,29.517065070424483,33.30217268592102,35.306876747070966,32.21404751563343,32.43010086802333,36.83471837483265,36.42942474137829,33.037335901745905,36.62325957244231,37.25099195832513,37.79921684654815,40.18879945273945,41.95124478732086,42.55124061693323,40.37116467761028,37.42618818181129,35.690211548711666,33.58674387806882,31.677522298204135,34.35038473974955,35.21552050562286,41.13049349508021,39.59519200384078,44.10027710712663,46.687808244635704,42.791194383608875,40.147988797796664,38.04699039690763,36.21973092772157,33.73489486429917,37.18913738308189,34.22780306011784,37.71741553231171,41.06905368788621,38.908645351705765,40.080237867662206,37.232257451175116,40.65125152672129,40.94572607744996,35.48844956037356,37.21450376132508,40.24385478438091,39.441698341469404,44.2479023311197,40.29646538284578,46.18937698731692,48.120524206305994,44.77551818597973,45.961436483101394,50.56163898829034,49.05622669060877,46.825214251130284,50.02644791656443,49.59812835345562,51.187658428935876,47.594437511326376,44.51268642849825,43.668077934876344,42.28381794306347,40.894524933955694,40.724117303309484,40.08614730316007,43.471960941038304,44.762050903754655,46.141905744989614,45.360981756331995,50.88886188353963,47.58520233168377,50.830780182626114,47.909079516846106,46.935297075740046,44.92377921100077,42.06760770776036,40.13050309140063,38.174913651317524,34.821812749344566,36.52976103831278,39.63281739537768,42.074538430874455,42.740117487822886,47.65315330650274,46.62368109365299,50.82299358873986,48.4917360273696,47.056320641284834,42.78463411541524,44.888812803677794,40.97784016397101,41.65539554808475,39.06337567326088,40.46886100450527,39.280967916444425,36.65861341992619,36.36932461697256,32.72053020324792,32.01597717291542,27.013956978087503,27.551205885973022,23.864633900327718,21.123335156762632,24.468554082199244,21.839198303174268,22.77287969286119,23.814066613648073,22.437730205135363,26.343538642792872,24.621397655579326,28.29638108857179,26.871955129530644,32.87902782951146,33.38798648773858,31.56320719659997,29.809782918843645,25.609453568920834,23.965702281784715,22.990017551434114,19.06260101267403,19.78647039993904,18.29387781840034,17.910493315695767,21.393419731416724,16.58518363996302,20.055214203310857,19.942920406814178,23.98538797967334,19.31178549287987,18.536737389386463,12.90241430440403,15.780624954590524,17.252325511108666,20.747803642189744,22.482306589784436,26.454784023104626,28.238271941544287,25.915907282010235,28.760281568777614,29.50118001016295,26.801313282612547,28.07553263823022,27.05525071115965,27.646899201549235,28.24101847457259,31.482425994465537,34.542124120097625,37.401512147553056,38.45736123504379,36.771269212954245,34.253521892920055,32.20843068830231,32.63520761503307,28.510415804238395,25.585411096439305,29.877645547440206,25.192331836940365,28.79888937739829,25.485107627744323,21.068495531855547,20.96494584646623,19.962937008051473,15.908911822919366,15.78121819483678,16.904911185199264,19.168401311400483,23.613789107806983,26.502855122844288,29.880233212892055,32.181604735927884,33.74024194382392,37.27382346637752,34.55052072337696,33.95237863435368,29.91073067157789,27.29945139707862,27.622087992669517,28.253258605219404,26.662171662283086,31.39718884773348,33.357530573848635,34.54558877860324,32.357160272360275,30.5892838826311,28.175010784555646,26.836173882579722,23.192856357868784,20.6072509570093,20.233534408766477,18.876695036649895,15.228002014828055,17.0770861769824,15.053665769427546,17.800874786940547,19.5877899986928,21.951380180407856,18.865360199418824,16.746885584833176,21.135966126205307,20.833932510368253,15.605487979974177,19.054578153466025,24.317398507470738,21.15587437650241,20.396001173363175,24.14712967643056,25.23981341449489,22.502385670150293,23.82777882766162,20.433695134127856,25.592790842282415,19.82517273572611,20.481416488627172,24.617134098974873,26.37153273000646,31.19047120474331,30.41264341226142,31.373440999697284,29.516671622058407,31.30414756216977,29.090571340366573,31.06526282323147,29.129206522081663,23.64105557686718,26.314903459153616,27.53230167659283,22.957550333407685,21.102800731574106,22.734447672957653,21.036934724288056,17.55699960888051,16.662017450813046,16.615973111744886,21.291422337533973,24.277718347729394,25.56512239754931,29.236320797352278,33.079610152062735,31.74099904793444,26.9863855418012,30.21768388433122,32.700974216922035,28.517647169333152,26.785368935495754,31.050628493597817,31.04439315280174,27.31388695264686,30.381193264254037,33.0277095383364,30.776267800151864,29.274702708021014,31.955383163433712,28.874160021224164,30.123921401211632,28.126623793996536,29.69287966452596,28.867546677234177,23.772965378919807,24.51446918262577,25.026912516463085,22.66805358365519,19.255401528494858,22.967809946529723,22.22650480478438,17.039407229544835,16.81915515951854,20.753454000908086,19.269388019641177,15.52507137011416,12.958937500891459,15.199177323423502,13.746459411537588,17.377443756298042,14.374064375547142,14.902105680355813,16.02818268785173,13.35071024130525,10.554677013527805,8.792058529559606,7.479137424223106,11.443713078679313,11.640957861776906,14.136947884867915,14.950350940052257,17.305892948675538,22.206313781006916,24.919941827496153,27.0800798131642,22.580930603834698,23.89398716076629,28.029017955693973,25.990807906342855,23.88175921249395,27.679177715716257,31.250402830132327,31.834921154030333,34.17751110699915,36.190088519640454],[22.293998293063588,19.104991592465673,16.526665994670648,15.190875353529938,14.10925184976951,20.419288118886378,21.642591658478626,25.62320525792444,27.606404484443456,28.09935794364147,31.85298139741792,33.992773589504466,31.313932545274554,31.191827438126623,35.845087610889884,35.74567052653931,32.52477694420998,36.33436845830067,37.18645052197358,38.09714470158011,40.62457229767018,42.75859585469026,43.341229388444944,41.30310679891814,38.3229975073621,36.196761727479974,34.13071045742857,31.830381435401605,34.34528714863113,35.06500417758471,40.68076520377007,39.26558475501986,43.6830630315654,46.512216459877514,42.81125423713902,40.25358083390555,38.281195974154755,36.79474143141797,34.57616814519803,38.52853628021742,35.499499540427585,38.6721743133868,42.26493957824833,40.35748780384597,41.62090328161853,38.95683979059845,42.56475420757247,42.74703979051516,37.31492780967027,39.46279196302003,42.458056836537,41.358847793456654,46.11007494444184,41.88515581557748,47.80307515952247,49.774194183836244,46.25904281303102,47.177331234972854,51.877229387568015,50.503986628938,47.93067120178521,50.85537902638959,50.167271466437384,51.76954282998083,48.34960025650432,45.12024378296936,43.871843249385016,42.26098668815187,40.57568620856682,40.0870616535922,39.35464557276351,42.621053466527606,44.08355769465705,45.8278833482909,45.0856609650019,50.8105278199112,47.82655140379534,51.04794708809222,48.3701111182823,47.73051622944692,45.714307749711104,43.20929974479879,41.0600709242469,39.466737239060485,36.15821413610345,37.4308094166221,40.43102082343857,42.61784108400549,43.13254066947764,47.82590500505759,46.54976997702904,50.58859615956006,48.03293550770191,46.471411978448074,42.043425317132936,43.871530997773334,39.809010896615305,40.81753547741778,38.13921432988909,39.49577548115768,38.832232144967406,36.31604058552676,36.45667210273299,32.86967837100698,32.80810407715777,27.54679124759565,28.345287536021146,24.969100098912406,21.707989162754657,24.709505668257105,21.50615824067803,22.66861253980106,23.045518865785926,22.006829897308194,25.639942857831116,24.093239300066077,27.98621294105777,26.708046521354223,32.725641229648275,32.97072641284235,30.842027406922533,28.866582882643637,24.62837207943078,22.857378918429546,21.640557873631703,18.353701718764487,18.798825873819556,18.164772474008632,18.272657984619492,22.35298214626786,18.013695369637624,21.839446638896213,22.08242311355885,25.683700391282052,20.992087310404987,19.5095030824825,14.012492308114506,16.38786658490935,17.420367376074584,21.211405724486212,23.068508221259208,27.353020028823266,28.7277512702975,26.35040221038715,29.491255678799504,29.861465259563776,26.945084594205735,27.94063335098783,26.919715410675995,26.93121007154622,27.58388334655966,30.334596835171865,33.62416766480876,35.953813043961965,37.176817237416195,35.885339810738074,33.47146509205809,31.748185345681005,32.34923149006499,28.645377407908065,26.137245930632556,30.43405313904539,25.986052796044653,29.954052654776977,27.109866567998914,22.752510149005055,23.156949897871407,22.560602768133926,18.545520254682334,17.732757440332716,18.798962174601755,20.44734871319975,25.062828538708988,27.742801169596554,30.8819282914971,32.9931134400321,34.1482062162697,38.00970708417677,35.62911034908149,35.16469884501621,31.46404124131624,28.483767518947495,29.503105482260004,30.495677446424473,28.73439785146877,33.462294292385806,35.069344651455474,36.718652230852754,34.545668826451035,33.07148672049839,30.919657420958295,29.29306242649625,25.911915700247373,23.27203787172927,22.954788911726833,21.70950053567873,17.633967848916864,19.203551141154133,16.61050138318637,18.712683737990503,20.36113120712959,22.177863161891004,18.843861050737587,16.697669728007,20.908918616950398,19.9675504804604,14.317601595368796,18.06331782170064,23.193856898694996,19.28744256212001,18.41094825661327,22.288613758092296,23.068868242573846,19.889668044157546,21.397121284070426,18.16459156646011,23.717437198392798,18.378920311435376,19.381385673351414,23.568437750476722,26.012383995018713,30.60791354784389,30.45879112078809,31.477051266589896,30.011862024345426,32.072696307092244,29.906895387408603,32.366383554498604,30.30451857043788,24.76713999032014,27.811749636248734,29.34528334924556,24.704421086780588,22.95482360461875,25.072626309029395,23.404996244427853,19.544999806868354,19.170455344587463,18.18768792690437,22.881448316488406,25.821159930558185,26.49141699070669,30.108235802013393,33.6270627030058,32.238267660276826,27.468358631204378,30.252873118859938,32.56732431391825,28.27580812497575,26.311962636458823,30.272603735069477,29.972865036489193,26.087200392550912,29.35304597046821,31.700166026990374,29.026588369164564,27.70258446869452,30.63431251076604,27.775653183367886,29.50323566422595,27.85861023820114,29.77087069076109,28.481033764240415,23.233562826865143,24.763706151836786,25.17462460348802,22.417807685731646,19.561728326375125,23.80683510207958,22.571581146906336,17.133706337112468,17.90953642111175,21.91258387543899,19.852504699442836,15.91132257378916,12.43125985436814,15.021130991394603,12.501816810310412,15.884964506804142,12.077953645684723,13.04967079378052,13.521351802337756,10.330365516975826,8.142441311485062,7.253990039504652,7.11392923774128,11.38960116299008,11.185932418458806,14.594824099698076,14.595356986697162,16.21748798214244,21.530466112271924,24.02821311707699,26.167351921744665,21.30945039719603,22.219443818761473,26.32563549560971,24.33286563594717,21.61819609764394,25.397761196916974,29.057433359523248,29.783839338780087,32.23914174366299,34.346400217872976],[23.496230729878288,20.594845625299893,18.89661505230065,16.428995737820546,16.57122609593088,22.23573458800325,23.4000804539514,27.72782022507091,28.968707256469195,29.132403269417075,32.775082290291614,35.393629120996465,32.663179197499375,31.83551481723101,36.66523942307315,36.9363650873527,33.469099668397156,37.10643211149807,37.521641275664756,38.92570845988255,41.149135786752076,43.54702702663061,43.752011341334885,41.58281945569797,38.91249092271248,36.57675296936851,35.009278835065274,32.713885415205816,35.52439156464077,36.63295470350956,41.77756856846587,40.98858082966941,45.35241302160106,48.06231744611345,44.50697507961364,41.68771276963674,40.220619585460796,38.38694084479936,36.241512335305025,40.57320238464012,36.97111567450491,39.823943766769936,43.59653096959614,41.612876092536276,42.512630517848486,39.764302818936585,43.457535779151044,44.01917387215976,38.768368124977286,41.005211574306074,44.35068119103199,43.24247523919676,48.07889659249827,43.863798151043206,50.00860581161396,51.58586030078816,47.83296657193023,48.9431272515122,53.5649383952109,51.85495424444405,49.09119188447917,51.999469051252376,51.34193077519282,52.52066048835771,49.14132483512437,46.12492965299499,44.32078142088248,42.91658302551058,40.70469779890798,40.32423261127038,39.213277502650314,42.19851452964874,44.13089635248002,45.94386857860217,45.690045337846975,51.5344122011086,48.859675875813345,52.33090962705431,49.86800128710402,49.342163697231484,47.71949901352393,45.42659917796729,43.614089269265634,42.17973201326318,38.607077947391296,39.643847627273445,42.236834707915115,44.67966238163858,44.606298095619714,49.40980620699403,47.73993393462008,51.540766897559465,48.986515384684736,47.62691123125957,43.14391227055101,44.75250988228421,40.622254887798725,42.28591978246713,39.82047075289858,41.61683813116717,41.03942580431727,39.07964600056123,39.116862685840104,36.003444557967036,36.247740098592125,31.048732605395596,32.29300753490326,29.066298300649194,25.789836736939783,28.49943610285212,24.921393492790223,25.583559535026964,25.299851541924887,23.904366393110543,26.837931949425293,24.889709985752877,28.59208340871661,26.78860304934086,32.64098045739013,33.27426438501574,30.807739441641623,29.086970818261403,24.569470908853045,23.305092324265154,22.614430658643485,20.04158599396956,21.34560369544616,21.10460439471241,21.839904575653595,25.985075354908655,21.989462728974317,26.01532466509228,25.834522213738392,29.405551582789652,24.310681621814535,22.38443583453219,17.135634047683464,18.383561329755448,18.401089120693555,22.309503604303753,23.161748229747143,27.636469189217298,29.15849670432315,27.2016830355535,30.74361933372746,31.319898462790682,28.391798593597326,29.742531892391487,29.219943309029272,29.066458404922177,30.288961823075716,32.63278344828338,36.37112360534381,38.310446120138295,39.333955222203016,38.28431121823705,35.6657112679655,34.42042482153853,34.65113362003981,31.500114296564863,28.729529500587645,32.5415335014071,27.80104508694549,32.002636327620785,29.19237939044896,24.288307911144205,25.452249998427227,24.496305597841456,20.895116604264857,19.64833668417759,21.318747611033707,22.598273192024333,27.584181725411625,30.448119675186636,33.54411039847098,35.91086707705435,36.638902823220114,40.87188687569583,38.35114138490509,38.23591130398531,34.335833688543545,31.761114451599095,32.89813007879391,33.792200106276574,31.69903314354207,36.02278298605597,37.23453452049816,38.90571348539119,36.0978000322369,35.17511108754781,33.087209426380475,31.763080402383796,28.722413472249052,26.443343092245648,26.53771627117593,25.632723654384247,21.729519357046737,23.65024680382354,21.24859773053856,23.209542177174097,24.99769435287732,26.59900669735131,23.107607823275877,21.133687111055885,25.229229361887484,23.90673568913193,18.13330663979183,21.952859343585327,26.936269376577716,22.42674927096791,21.4104858593996,25.30176521299279,25.76184863351268,22.01567210470407,23.590097324882645,20.59397091597221,26.43287616843708,21.165893815859157,22.818589451921337,26.977571429162026,29.711335351107845,34.022668497929274,34.324412084670584,35.60290682253065,34.364086751818455,36.58717008362722,34.51715007099852,37.01088517788953,34.81083522233918,29.380999844852244,32.49486820772628,33.8830202452212,29.206591022357156,27.58388265392248,29.60489312587852,27.687132451629587,23.94139689958083,23.62436825427272,22.8647233614861,27.514633045704798,30.510993772760557,31.14780926230639,34.719948119446464,38.16849795521406,36.685284018520726,31.957112194290517,34.62269035535246,36.79199479270881,32.40230588950968,30.432287805348132,34.17218340000613,33.62310003860824,29.689415696551176,33.099355163849545,35.176233042856,32.10935071760841,30.974790601712748,34.076646287571386,31.406795345861564,33.477831155852726,32.09232585486323,34.10039073168528,32.4908766027151,27.287346070468757,29.168219868293143,29.35395303011877,26.415391655771593,23.937845684008362,28.117025989234307,26.430255889667652,21.095660836609213,22.22266094394054,25.831502118690832,23.311539127816125,19.43145652360138,15.824936691512498,17.540469138234368,14.324092054608794,18.06168868922683,14.165790320976217,16.173649268853328,16.0892472297625,12.043804553138575,11.103517287437521,10.46350919311388,11.436584026187942,15.83904536161581,15.407981973065546,18.97641304797018,18.228330748126073,19.789009171700286,25.23813814580644,27.713873291237082,29.565360253235262,24.42680010296188,25.276542737090534,29.161729751563815,26.846929558869036,23.790214107863182,27.65927952729707,31.207506743235847,32.005872195174526,34.575273431952155,36.79181666097725],[20.372337777441224,17.422525191822835,15.83405421614655,12.102931263715965,12.705583386711847,17.638217062557974,18.58392224402974,23.083025793744877,23.825741390883294,23.9193764482364,27.48502994972392,30.266673395465183,27.73411436281276,26.612093566497947,31.557401449017696,32.06440623866489,28.765732179769007,32.5653739233879,33.29665117298853,34.98916633424231,37.42710877317067,40.20619661297054,40.51648701170648,38.65624994496605,35.84482220064567,33.07342208658166,31.445218157070094,28.715686189755367,31.268833523175307,32.237251407792634,37.02554539701058,36.41452820173431,40.66278932329298,43.511690326144574,40.17514558923852,37.44973894381207,36.17789695937778,34.71045204274125,32.926443573349175,37.81813852540108,34.24544603098422,36.653960045941695,40.66763215267099,39.110651434442836,40.26928294790808,37.92504832445838,41.851053065937236,42.04631078990633,36.87559463107978,39.79937777320227,42.929496499924426,41.32314745299973,45.99057431148585,41.4086933624473,47.49857240007548,49.147127543011976,45.21853213256644,45.91110853558585,50.62516456347529,49.185798429203935,45.9959090594056,48.5024533822525,47.52174377416711,48.79022627618935,45.65999211892269,42.434688531840074,40.28982330302227,38.59442743593775,36.213043157147695,35.49371580412896,34.39705048847059,37.339025139263306,39.275682301970214,41.41393458866454,41.092847835429936,47.06995201217883,44.70692524260681,48.10204266433708,45.911390244237644,45.77199009116216,44.16787381769985,42.341341981582126,40.363559591860195,39.41422255458974,35.911256545279485,36.35917260450424,38.75715014688299,40.9018036535174,40.63082108051849,45.161780198859226,43.265143153547875,46.90001089433942,44.17060309270541,42.72911601186812,38.164588986474975,39.574858466215,35.3805192030355,37.31775651995899,34.896156553640566,36.86856632949996,36.54680330856663,34.98109063757669,35.20292450236649,32.479525990928614,33.42937290767434,28.20103180310587,30.053969781794382,27.357848325872705,23.84455565408905,25.87264602914789,21.749712600804756,22.034550605748382,20.971414599668105,19.682033614703922,22.13073326605679,20.377183291781353,24.21230148831327,22.75711793376758,28.532549870308944,28.736844939231137,26.07791232853933,24.129042690644702,19.714786976622328,18.3150635873838,17.53914395936907,15.726052068592233,17.300434058726378,17.793927547016537,19.336894069266886,23.786040807547014,20.78213378232782,25.226079422334845,25.09748975570279,27.923979400719123,22.779028644187644,19.94537743909482,15.427906995567257,15.632127593811541,15.081359617442937,19.067256253073502,20.357376633673613,25.02592541224048,25.805736264696968,23.723761747973473,27.46171651178917,27.551075100671483,24.46697290454955,25.544180067833434,25.190245253900503,24.592792443324825,26.179312305189505,28.069492266812272,32.16675259459676,33.80150822760403,34.60053122588207,33.76630471363452,31.07786880838108,30.27853156392551,30.39034323649196,27.885131334230074,25.432736381242403,29.00716358249613,24.667525442601754,29.19565447620009,27.13454526329159,22.631600894420615,24.43243016686148,24.33286174287947,20.902891650571853,18.666780859770927,20.06684803656922,20.373172667944473,25.36215255041146,27.889385142290216,30.6018266493309,32.80256032425343,32.9606283530682,37.570587680839665,35.4043138411931,35.573455273765376,32.105623538571336,29.325077999789535,31.344101709543306,32.70692575698252,30.30006012355109,34.44427848015756,35.07858086522104,37.45568556770941,34.87368951222691,34.37560193265957,32.8510167915152,30.958204441787917,28.49801872474687,26.25245998018143,26.617984351785353,26.265362577078925,21.9177426314018,23.923778619758725,21.53289708775723,22.386965469409013,24.816592155898032,25.466278515485055,21.589306498389064,20.66862432408376,24.620368120222732,22.308001324910595,17.051094442754632,21.506985142496934,25.725261161342726,20.56340356567028,20.28944978379774,24.27799951933239,23.740908749412984,20.08877417026565,22.699675111695036,20.23297354770832,26.2534635164021,22.458326045621334,23.52302611537282,27.560727443943374,30.970857112590572,35.330428729441095,35.799082374943964,36.47769738075773,35.27236162754875,37.31133941238839,34.777889622102045,37.83180190105971,36.13290660070244,30.331085048288678,33.30102604931634,35.520529123361584,31.019768905020676,28.906001561262407,31.096963656702442,30.102793416217423,26.140848448138687,25.077377790011123,23.792619572363318,27.507951420933807,30.722199712791788,31.035316634050165,34.100371605686476,37.40203203615599,35.354551631457845,30.892119301937484,33.591842348572676,35.122683579276554,30.45716634300002,28.93738940771665,32.384389729428904,31.371110388610802,27.70535741494932,31.70620496113621,33.34503002241191,29.87898609160712,29.569140465333508,33.04243182566515,30.7655819771124,33.01165050718764,31.53531308957047,34.18289926177305,32.737571336200546,27.19970895243382,29.560257328654078,30.368089515128847,27.32741497864662,24.854441096711533,29.792856874152395,28.520373690879357,22.909813844917256,24.261168557577694,28.553609827297812,26.294521928627,22.30244823930269,18.17320944763572,21.059147864957307,17.535241543773086,20.277633193267906,15.362762541147834,16.449891283459287,14.750595333151407,11.651088219761927,11.419560947800827,12.573467267945913,13.016837107690078,16.58675147699736,14.326813023204783,17.949175466864904,15.726405634172286,17.22330443707642,22.54773363816048,25.140449184147307,26.354484712982842,20.991419183663314,22.23053896015003,25.682144673943448,22.74893153145822,19.916030563940335,24.08710111627902,27.231645014870153,28.08512884841439,30.8401712997361,33.108538215860115],[19.232522615143218,16.849581603190742,16.578816287127246,12.507407788705072,15.045983132901927,18.680404597974242,20.156772661624565,24.75426799556853,24.870624281714225,25.25626445537102,28.58237205780304,31.546032838955902,29.58674337469914,27.92861869999274,33.03271657198028,33.95890373861317,30.888439991786974,34.732803744072164,35.51833569713611,37.6352238083604,40.036805253114444,43.131805223989865,43.3017775596608,41.5278086614551,38.858092009095465,35.798525172057616,34.39920491398542,31.443329926455323,33.8519387333,34.74795977790765,39.003168376701396,38.66993909845737,42.72444296127563,45.73549896526109,42.67771029272012,40.03033341461378,39.00541414686172,37.784721801403734,36.258999916712746,41.466087010683125,37.79093427700517,39.85805383782167,44.015344617855995,42.62244269602721,43.71367470355749,41.47852711453934,45.47503133261345,45.724619153235714,40.683894485642746,43.78680537126383,46.9613450315173,45.224765906772895,49.832474590681066,45.144574915823476,51.22349590701297,52.803167347375485,48.752516389266084,49.30511902890092,54.017297668179964,52.596647970626115,49.15858777079331,51.42379441754373,50.25752838285314,51.397421553555645,48.460650639128716,45.23313561878951,42.62247038011715,40.824113498966746,38.047068934417,37.06121845379002,35.76188908408517,38.395015318701624,40.646142568112765,43.134428000033296,43.017031039199885,49.11619117479202,47.16845537217197,50.55683117847966,48.6619756429079,48.8223703586301,47.32125600205924,45.820336326014264,43.76698388622437,43.10436934719012,39.65327390053681,39.76311700935154,41.965090670609406,43.918167764779156,43.405150598926774,47.692123858156826,45.50608048110685,48.864925445503,45.956832386729516,44.46311282714509,39.811494158280055,40.82692760782982,36.53635990808389,38.96428319969043,36.550165423753555,38.483099604946965,38.7581527380282,37.394125235637475,38.01985521005959,35.44379895434918,36.90013977608593,31.595098422926345,33.53715012683914,31.080491942085928,27.310308679512097,29.064371841008825,24.672443780465482,25.17029076376898,23.488857281384306,22.57295799834814,24.44223092622445,22.871023597798693,26.635805998963406,25.21812243070249,30.682364886527875,30.761548741212703,27.78044528906697,25.772232351332637,21.485513483639156,20.23093240760607,19.39700205385417,18.654622674345305,19.90229683839948,21.17808275390587,22.950691786649315,27.59807177157704,24.855784871860525,29.30714444161399,29.4054645662421,32.0334349650073,27.006118238667185,23.937424871623996,19.675933233427887,19.603584695714424,18.64765916246602,22.55191484250907,23.54226537415597,28.245434572076082,28.771338057862845,26.866748877857255,30.776517623380794,30.635451151580195,27.500136137174522,28.3609594148553,28.098259204633123,26.938011547134796,28.564303093848807,29.78072944447391,34.0258975601859,34.921463598061045,35.90530179598448,35.5962212105167,33.089304109577085,32.70728446731188,32.955556198828624,30.971990611032076,28.922021290042164,32.31887492359446,28.246030014288955,32.90374629397548,31.1541716819706,26.688995261528202,28.75220966663754,28.674738116712085,25.344596606830976,22.9887346135199,24.412275631241766,24.444162732924692,29.398053605700888,31.764927447048343,34.257851263552524,36.294423161780735,36.09618976519648,40.903686206825874,39.018490295841914,39.2994660652142,36.085555894621685,33.15557866451262,35.515370681053646,37.01585808449771,34.559979113634476,38.61417579109055,39.008740029455765,41.582482734123836,38.894616464650134,38.63018167452926,37.19520408826274,35.298568592117434,32.94847318146468,30.71612947086861,31.058779438425578,30.62516248701359,26.196549106472364,27.96361539592818,25.245355200178214,25.92002591639628,27.958866288999463,28.353770172831158,24.54316800034507,23.398201272782703,26.97009484883864,24.361516635008215,19.02972314032798,23.208599774721954,27.153645552945772,21.521034564892723,20.95085994133251,24.748023581648088,23.971956796961628,19.819797060958024,22.30387769021353,20.247768071657447,26.31770543515363,22.98776044073713,24.59997190995422,28.46507773612046,32.30446895064217,36.225601065753345,37.34801107307773,38.27448693423283,37.49961772520856,39.82832155704421,37.535764628565936,40.81140317033974,38.86184771434808,33.25531110552921,36.53382919463862,38.71712864531235,34.160065634594716,32.32729515106035,34.80475438697098,33.520118438610396,29.403955900077708,28.966390273255435,27.242955618688605,31.17495476932546,34.22194464250451,34.09512029734233,37.18388997641173,40.14207449136147,38.23548949695706,33.80651350046106,35.964196044970805,37.42791929466889,32.85806501143703,31.039644886338912,34.06188905911105,32.821800555150965,29.067230004665856,33.00238347687223,34.286231063461976,30.45214966573336,30.229921798227693,33.80235870484401,31.811181627350734,34.509969073449774,33.518205885474664,36.26709703116463,34.30561217045062,28.934153678774116,31.87528181946114,32.35417685206019,29.06096877966617,27.252746536708734,32.2390671675792,30.40143758001745,24.926075423545473,26.967890988112956,30.93941837267511,28.15575811083094,24.24196416181666,19.84534445676276,22.33226237733398,18.20911877957469,20.62785561500794,15.68097402363795,17.507570418009422,15.385065631417477,11.86624799840131,12.910413599312188,14.398204894883524,15.802186715539001,19.327731809036425,17.479732645740622,21.43760233949021,19.038171790151864,19.651588545003197,24.99944893248646,27.166102353484582,28.381399900319437,22.939706359906797,23.504842398023456,26.728997973960304,24.07241452426843,20.491742884384955,24.31894926600468,27.468130932139328,28.473094908936716,31.246975332746846,33.57462267585834],[17.038396729095577,14.494450491118869,13.96329987847574,8.938133502506393,11.629373667244275,14.442604229999635,15.680940215188718,20.296146197437118,20.173820673612383,20.60748441572522,23.90856676004569,26.847336541655004,25.075832115402342,23.425600078664797,28.556999876100182,29.539740546880708,26.72689745583345,30.751891636251344,31.971976371189285,34.10865514197492,36.78207643715346,40.04577269984072,40.447337658658746,38.97799873513382,36.101139700801426,32.815932454224296,31.18918377679741,27.912006077403483,29.96212707360102,30.590528267570495,34.70147741509107,34.288963677857346,38.256710739217716,41.40603031984688,38.47928489418267,36.013934886970674,34.97706025987697,34.18206407440108,32.940684853241194,38.39690701453457,34.98541630395132,36.796583301761636,41.03352197959588,40.00882271132412,41.41877100194235,39.54031438611787,43.6358336895017,43.47301740001345,38.482224530624954,42.02779933460722,44.89311710465948,42.80567070276153,47.215635960713364,42.28935026911684,48.20206261785197,49.95399890889986,45.88402509913035,46.046975432646875,50.82669742397537,49.740133594653315,46.07319614917647,48.02647242746283,46.607667628917824,47.974943978394975,45.227953365774376,41.776394921581876,39.13689338446599,37.03411358352869,34.355379884577964,33.05103384152683,31.936423426697857,34.65671856421849,36.68977730169671,39.39779712309416,39.019873068759715,45.155263121197,43.330648970748264,46.55297244816702,44.79554866769695,45.211371882314296,43.59791476362031,42.39825774432362,40.12921894218872,39.801473205685426,36.52425783958308,36.24422136535285,38.40553833031508,40.02366106420963,39.56203463436082,43.575073095768026,41.36523731531288,44.67890293494795,41.64293939201728,40.01352771699115,35.32537290930101,36.272380447238206,31.955532944332838,34.35838990261455,31.91454119268717,33.86322303689568,34.29146476899172,33.10049537031398,33.88430632187679,31.52913084639999,33.44462156285319,28.20362615263227,30.50419918703589,28.488608950585185,24.660752126135716,25.86641429602759,21.229809830676853,21.49131829080552,19.310811473381456,18.64994033700917,20.249508327275556,19.059461989109938,22.949950176545606,22.08707276944265,27.461503475732446,27.006120367341303,24.026834104575595,21.712750080288856,17.709111787261172,16.114500322943766,14.96595307396607,14.857120578578037,16.023511683671252,17.865247183028053,20.113433048303346,24.808236902338773,22.88500199356081,27.446984330916184,27.65599818344079,29.653354813539003,24.833503845174913,21.278345282485166,17.79290549499614,17.1618917954984,16.087903216283358,19.81496531914302,21.492557082916587,26.135078340419547,26.000174401996773,23.876267108860027,27.719083968503295,27.09959533169738,23.892015840515196,24.367764654960567,24.09627361575968,22.60090868259146,24.37223411598797,25.303249813408108,29.711366404204316,30.510196543066083,31.320487707850557,31.09020377127927,28.5837425293925,28.442406387985056,28.686964233861122,27.1168096501529,25.454316278511268,28.732173453346057,25.175837606882396,29.91984848471517,28.78776189413865,24.92091729281778,27.168718010368504,27.80609315088697,24.589258974857827,21.74849981675897,22.75385409382233,22.137284038822916,26.81827902947662,28.804686352690958,30.951704279375615,32.74951173985936,32.2170198644355,37.164728384457625,35.61991452143717,36.02121186431612,33.250191366337056,30.108740855245877,33.07324256083186,34.92184405702524,32.365737151089505,36.32346305724158,36.39369949850196,39.45903742978644,37.181620637399696,37.05560877604707,36.03214159941435,33.670020059453904,31.69702239663367,29.455320771443887,29.89357644107812,29.80401225154952,25.17505849171363,26.900608704876042,24.300717545578106,24.149333028739598,26.63826605022611,26.33404107723313,22.36446012738662,22.12959429159183,25.52252434788206,22.292360164024178,17.70959625873365,22.22668087761388,25.466930705231462,19.652630974700735,19.85663156470546,23.629667445357704,22.09517546001558,18.399248186945464,21.750528180019607,20.09044366622946,26.02408574112847,23.830465616759845,24.689230658861682,28.390848671832327,32.50768283595694,36.55947407622386,37.55272253456693,37.890984423194205,37.01535145715719,39.078034608062765,36.393960219885,40.0018616116505,38.53477951321395,32.69551470212885,35.72931714586771,38.52476009982199,34.194243909000065,31.967830572854933,34.4857102946308,33.973274680931475,29.799450425187796,28.734492088765375,26.722076349446677,29.816024391830165,32.96698406947956,32.66882152357983,35.299410683287896,38.159842165795496,35.821558849386264,31.681709609388356,33.93582475328093,34.884081071095906,30.16784924586627,28.819937235859967,31.647725936760985,30.116254651659247,26.696788006638243,31.048740709272312,32.05812290859588,28.088565901507195,28.545031059688036,32.31316040443085,30.590824526590335,33.21798381415915,32.022919080903925,35.19434072437013,33.570611465798784,28.010594992951564,31.075228121315945,32.13208338332134,28.926735432543502,26.966978255048094,32.38927261213369,31.097035537935124,25.515476262552713,27.442326163494933,31.933024624742504,29.58760473807907,25.656131569552812,21.15181985731488,24.536775905037008,20.627087855019344,22.373453004941613,16.990779692163,17.666971011926115,14.537489552125722,12.441603921593105,13.455650344925159,15.849736045674895,16.49628161263295,19.199633874183156,16.091914080524298,19.75087221548878,16.417475764700423,16.972378156542458,21.943356374545647,24.198449123566263,24.86350967735854,19.421545730104285,20.424828660068936,23.23352296392136,20.065604398947325,16.93628350206279,21.031410993002154,23.768979060312336,24.738115429471318,27.622583241301683,29.955998770110053],[23.704602473088087,20.980123742028574,19.619278317093965,14.648130557830797,15.074599648726592,18.74652215762322,18.549919278255153,23.020326188889435,22.6941171519061,21.67672717850994,24.94318102734468,28.349418602522626,25.327701045410645,23.354462654895322,28.22129444618302,29.06885964998498,25.36889973618887,28.715569384841956,28.830958180543025,31.08394884709998,33.132849629549746,36.241737100806766,36.16384670387272,34.31546225071793,31.838109257469434,28.76179911582962,27.759856765271426,25.082157137623444,27.966992328332307,29.550697058280615,33.62222249607069,33.962498011181076,38.08785305155011,40.54979004559911,37.41893929268933,34.32590495080887,33.84327808874316,31.853304931573255,30.27317998518031,35.65634569734164,31.452323730163336,33.24598869097922,37.457898275735175,36.00084763046002,36.84552863349126,34.68554148337844,38.73447564491983,39.131735477642785,34.34676465980471,37.677368204059306,41.011534284432024,39.17486006613633,43.772746928541274,39.15449427868047,45.396587979129045,46.534814486693875,42.31628249385802,43.111560077038696,47.66988189423844,45.931222194472085,42.42630635324329,44.781378712491005,43.8141923391938,44.5759619466668,41.57482125349467,38.61229382864138,35.825237538686636,34.408308379069716,31.485374012335622,31.009777830223932,29.50935906531037,32.17466659582767,34.53729573300348,36.60987467266787,36.863255790924775,42.86827092216236,40.869262163958616,44.55018629218677,42.65440265042142,42.676734204884,41.6622373267061,40.229056357017,38.81832170014832,38.18727374003999,34.40684751565519,34.39068140001105,36.093953525638305,38.572284299041684,37.44647519254773,42.09167858863663,39.72852775124758,43.04743359941676,40.4586044422386,39.410004667817624,34.94079764503803,36.22348380565595,32.13431973155897,34.8053016013929,32.90801957377304,35.757496073884916,35.055671971967485,34.57212600886222,34.248491375302514,32.55894956959835,33.83468636440494,29.074646291351023,31.756998170121662,29.478765594709003,26.362514114396795,27.732775458438027,23.454919732860265,22.409611393489214,20.59906123852933,18.450931457028485,19.57347732162926,17.170608173966812,20.423911026196258,18.356142178061532,23.719863038487265,24.39408550963419,21.45600995884288,20.02888641236309,15.400569643250181,14.997082324497818,15.517832156628348,14.7549158385524,18.152776533564158,18.680514335764897,21.116936868189782,25.112338404265536,23.10948877554154,27.698084919442657,26.80286704916391,29.179032661374595,23.68616758204969,20.218690090471057,16.91684486766113,15.094001969787197,12.938718036949775,16.536225114736123,16.59311651623892,21.27592956711427,21.855033225911818,20.38006671847107,24.48875391423561,24.790688973074868,21.87696668163524,23.542378325978245,24.121661828299246,23.670244077026293,26.31748397895696,27.855334024992374,32.51152882522443,34.07130934161018,34.073957653771004,33.21451436601827,30.050492095288167,29.95284103508203,29.155303989640668,27.606278975017297,24.661497299971902,27.179049575789797,22.691747206293446,27.361443660507568,25.728163776243083,21.059757436071738,24.007682168042535,24.037169718166123,21.483845001445147,18.37505133791455,20.20436455678008,19.54598194959541,24.624431843837055,27.182252813709443,29.62244833992476,32.179039007313534,31.631888333499827,36.67485786857289,34.3132755655996,35.10481095419878,31.516573486431366,29.540402527847977,31.830233988094548,33.15656991478946,30.227202728592307,33.54352826777695,33.37454910494409,36.02791920779571,32.900648943962814,33.32162655974315,32.29807620509509,30.490231838492164,28.93137167046763,27.3015428772981,28.373457370068603,28.880035232360104,24.802938058452487,27.4148019023081,25.73214882308363,26.061703476806873,29.2944537461651,29.455282274641483,25.37692792268349,25.49416633134204,29.43282573298704,26.636469167650763,22.102795127731806,26.829370426308664,30.487371921251036,25.137950945106635,25.457484507241823,29.390831840901228,28.128644985622486,24.68069560364999,27.902099467061067,25.827383692057115,31.81273583826021,28.64111231201177,29.47338391879096,33.42154268762787,36.969402661334406,41.403691968301786,41.78111076706047,42.125204348996526,40.75265694302517,42.51380737298889,39.58881761984832,42.703347589648835,41.451407038835576,35.44119658593657,38.00080054497597,40.5340956728335,36.21309489317136,33.6948739921572,35.50052443067684,35.08175900877392,31.352560854286608,29.308557007154523,28.535325802515672,31.355830616343358,34.84372308354672,35.4356165614859,38.0277373881057,41.4603195775245,38.82743923705329,34.7079988314367,37.80868389454502,38.767666283807316,33.88854687732178,33.061970600602315,36.36226009585851,35.01718181560888,31.772163853270573,36.200365151984684,37.52241183559045,33.84161356665092,34.24941666224422,37.914404317560894,35.89805779322934,38.09295438774148,36.38546023420101,39.33448761423871,38.217476025147,32.544306587324414,34.841569466755885,36.07717793026848,33.1366987637136,30.42424441182083,35.499016338851156,34.6036633523606,28.952319373976753,29.962555801601226,34.469276299939416,32.477258017222745,28.49075200832886,24.456489642051693,27.356317023723232,23.860700212708135,26.605867011380482,21.59308124465518,22.417021438163843,20.059915735168623,17.555491790346544,17.549531039357973,18.88515840676975,18.9070189985784,22.165629854758777,18.86445572763456,21.82170010679732,18.547224021444595,20.742415816518083,25.45210549685403,28.3438375501767,28.64291834234205,23.3666826083201,25.41205641819995,28.16515476895353,24.263519299988108,22.325949853266398,26.738415166438724,29.11872818524213,29.857891700171837,32.68793270873506,34.95841136619927],[24.87752541398046,22.538648264293307,21.790838028819046,16.34094408595462,17.48367392875328,19.87128747043523,19.423827040973194,23.783714603376175,22.586792911680103,21.207377631616602,24.08186664010456,27.85107892956403,25.01459770742728,22.304661902429636,27.139620928174917,28.42276466326269,24.777349523813076,27.88431760296011,27.791334375884027,30.578538123731335,32.42781783526087,35.893920123418624,35.580571050219156,33.871358403939716,31.649962010949057,28.249315331117664,27.683425379429398,24.886078004259943,27.712241702735977,29.475097146923243,32.77401500784814,33.73915695783435,37.6255170043391,39.99512129237145,37.184182970938615,34.02941891735491,34.077927623789066,32.09714930600399,30.851049850388947,36.5982380018605,32.167526775373446,33.3871908400799,37.73431924568379,36.515809605249764,37.220531228560155,35.30920786948663,39.42674397665741,39.865411959189046,35.40136068512826,39.043631522249036,42.39656027870592,40.344360812079486,44.78878456251709,40.10234471968909,46.31074769788267,47.19860006207708,42.81310319421796,43.494604776227604,47.9517840521001,46.16050317544497,42.348989898413244,44.40698199241327,43.29509072902455,43.76567707054239,41.006386623143314,38.15905358565582,34.77995417932552,33.397867663645556,29.98250151595689,29.40951002761204,27.598480796564058,29.89253461606257,32.644749851188486,34.93425906478712,35.5722457676224,41.625621832520295,40.10852160321956,43.8673013848585,42.33335111583579,42.659187589385766,41.97064129776797,40.97573167709246,39.751668328422085,39.48882327786816,35.69568318130735,35.214071672668936,36.45535286218549,38.88343825064421,37.23027282508729,41.68916258494308,38.937795135304924,41.89374374355962,39.263206366694185,38.36960849714248,33.9343185372983,34.88518274861722,30.832219564897823,34.14260481235216,32.52964983674824,35.74484329504557,35.23599073661613,35.39055879874184,35.08054008312704,33.97345235944251,35.710007948583566,31.166182265085585,34.22401355503688,32.30436980663799,29.21612888360356,30.13039287849917,25.689183972728515,24.261224360131873,21.80223352954005,19.630490026833588,19.700649953353295,17.272665489607085,20.059845928094646,17.880028330929367,22.60380728244751,23.327750735529165,20.078453441352607,18.891543578490776,14.472046663661596,14.71129510022549,15.78817415571219,16.277587396602605,20.00721703211006,21.0077394349474,23.85420688801374,27.738053774928634,26.333976417361114,30.94246142326217,29.942397393548262,31.938902653983845,26.50829217524829,22.717126955192406,20.127220190152553,17.574011998474756,14.758616169316907,17.845847422834684,17.286858357623107,21.743386216220507,21.90117148185998,20.856446647974213,25.095347629062356,25.25146857932949,22.462076335558557,24.14218276516993,25.171278649146693,24.421230309660004,27.508281325691552,28.458082690720346,33.391428895185975,34.493760760665616,34.196118787770764,33.63489108166342,30.401770121859393,30.889757856741937,29.77891163423954,29.031844542472307,26.239645859347867,28.129703851155476,23.953919011519655,28.647156433791505,27.52152271489415,23.064571279363054,26.51998594005332,26.727513108543327,24.596374260781495,21.17283037258199,23.015066462347963,21.79387399580525,26.676370157690094,29.0300902520427,31.130316696797514,33.658793621349545,32.56243624213587,37.85791862317081,35.66035850348391,36.7825647962483,33.41195860329284,31.66137404698787,34.302433460425966,35.73082139012395,32.60379830580203,35.485192552066444,34.7948792555551,37.727192764694905,34.43195869861605,35.37935717060827,34.687794751659496,32.85635924890756,31.77203471119623,30.379011322247738,31.669756650208196,32.45250327769701,28.41061953984563,31.06835064573772,29.448531821519623,29.431879795255927,32.789524895819426,32.58901874889246,28.466191586653018,28.911293258908145,32.66742509046064,29.51128509219347,25.256996979163137,30.003027165637764,33.27344924359139,27.664438386583893,28.15267284253242,31.971862130955923,30.266532413407198,26.78774937552849,30.245791084550312,28.522804864949066,34.480658223754276,31.84605355737511,32.73100848301808,36.568495989961,40.39029164641912,44.65787262998783,45.28328382745397,45.56149035592921,44.306996460048154,46.06343585249362,43.05999246273944,46.35162155062649,45.20031710645123,39.15739296019762,41.698301393547766,44.41934407353758,40.13760122097314,37.55629370650624,39.384778742025354,39.1219160382943,35.36299309292993,33.2191637472934,32.35523557091072,34.894973885419255,38.40773672989624,38.86305326646487,41.23854883987419,44.53774270183392,41.69926706951507,37.77111758956686,40.766083968111495,41.40926573047589,36.496974235690615,35.847297281194976,38.86267570072185,37.2541061978035,34.18781415280139,38.78136129434261,39.781402175695774,35.858117363343275,36.66161558276649,40.45504073766303,38.70057548547883,41.06379769539172,39.46400263555793,42.62474533611332,41.43678119783034,35.757042010006586,38.30806301957919,39.62059150592331,36.606858319574194,34.06907201462867,39.28965527669608,38.33770405833046,32.6812413537139,33.875173118405016,38.41521040032376,36.32167223988143,32.32978336342295,28.158312953716713,31.049696687182042,27.32832457069833,29.891112804839356,24.760568200163643,25.648033643511344,22.836314620543565,20.505212427984862,20.96347736418091,22.579788576636723,22.777339958628566,25.903008759652835,22.346761103876418,25.247732806927612,21.51901929908081,23.48332607098094,27.905360883254396,30.693373242052424,30.580509460925033,25.369158779666133,27.42971341094217,29.728386562544838,25.562774453518976,23.73475232655651,28.03742566164969,30.010111609932224,30.794842855188417,33.655755384644735,35.95040735614553],[28.67560386442241,26.26550010325916,25.246813084991594,19.86531063877601,20.32028265294817,22.91250898795157,21.945399241814414,26.0922739890158,24.791080550575185,22.75329651406204,25.451441158933957,29.37582199425428,26.002826364177515,23.132762599762803,27.63379757742128,28.863797174992687,24.835009940157185,27.39146034837771,26.55772687265234,29.4630476958639,30.835150040601714,34.220256439874596,33.55157061620063,31.638616647039736,29.777217246488192,26.51192605678877,26.467889497175875,24.112871389010326,27.35094497839648,29.650093683988583,32.73152410415181,34.191655579526696,38.06186334935185,39.99805322341344,37.16155974239556,33.69242524625714,34.140350212594576,31.512221162379106,30.153003367294566,35.805679892680864,30.94133203264196,32.01145427515122,36.30017384583071,34.87862324402928,35.18985782462824,33.178419494189505,37.228652628014984,38.02052506768652,33.81383674737871,37.328522814230546,40.92576206229209,39.01010952860718,43.4836268511615,39.02489273244752,45.343401514934655,45.82022553942512,41.36130238781612,42.39316391782201,46.65486718102645,44.47980952145161,40.747710164779924,42.976699733012914,42.12573878943458,42.168275253501754,39.32318256219678,36.83671257056491,33.301016966607236,32.38198547927472,28.784227827521917,28.736417448727607,26.66665310901383,28.800967720630393,31.780903714063765,33.66721617983133,34.75891643383565,40.65441904905686,39.13611517067769,43.1356460652292,41.59670212017633,41.73694554183967,41.4599604262179,40.41510770927448,39.72161782713,39.34665082095373,35.336994265051786,34.93851728224853,35.817445111797035,38.69325550019538,36.59784764785797,41.331325742022464,38.467852837245346,41.32962162494348,38.991300694546254,38.4703272270586,34.242960588506804,35.31917816331799,31.48520625425018,34.95058927308311,33.69290123336575,37.34440325514918,36.29174192242367,36.8697287417768,36.00840008439437,35.3237107182094,36.76858526261338,32.564790913084146,35.78514835840503,33.81368326587307,31.10712893839094,32.03518830951881,27.832509781728948,25.84254561557285,23.58010948319295,20.813140064073288,20.492610232142297,17.534995146221476,19.657968406594183,16.760751009244196,21.102673272668472,22.57537946556938,19.431549674863216,18.936772266495804,14.500021778176796,15.574383861427293,17.487010448577696,17.770548967643244,22.259260111531983,22.712400599632282,25.56954660008699,29.00984208639054,27.676941024384192,32.18208174091419,30.66425553476224,32.74895691720473,27.141654964209238,23.495660726231886,21.222010279177873,18.146066213150963,14.85827757872357,17.471384636164892,15.6870274840408,19.871251464743,20.419463987066525,19.96572380643575,24.229155421697428,24.911221509396672,22.431092939860587,24.709141428308655,26.202933279006906,25.95904250328517,29.404716037634383,30.564107967787177,35.54292204508574,36.9444208412815,36.25230518712699,35.42333752922836,31.92833682222077,32.484385184127134,30.848931955642666,30.224339284401076,26.886257684680707,28.21342691694775,23.709375157771817,28.20065951160368,26.913838883288623,22.190274629428067,26.026003083872062,25.91312585382763,24.325958038634994,20.856675264891884,23.06053819264657,21.77288644863214,26.633549577002594,29.190873372736856,31.340977181558273,34.21240582560027,33.0566061368713,38.336378447602755,35.761640435989555,37.12111741851179,33.41018823623912,32.34600349283395,34.63004753665759,35.76958749695832,32.47749347561664,34.866179913965155,33.959036478557444,36.65029984692932,32.870756948120096,34.233846385923364,33.6203249572769,32.14352289052274,31.402212036336106,30.415667312379654,32.03630892558985,33.13956930241546,29.46693848120896,32.473728685938994,31.29712432524535,31.453598837858202,35.08482778121181,35.052487087017134,30.93370268800686,31.531715225665753,35.45660511797348,32.473263131074845,28.2812759924694,33.07325746306686,36.47243590176374,31.043023648268225,31.57579134134512,35.44851066789497,33.83227930464927,30.440289656534567,33.86240523831654,31.99707971821603,37.97472817564735,34.99652181482693,35.866335494890606,39.785893970771326,43.385356906587724,47.79603146051616,48.16707096974962,48.44025279417794,46.98484501665253,48.599981797043455,45.49879498450751,48.56463431250365,47.52912391188066,41.44839699193029,43.75671506125465,46.35847565464577,42.12149927348505,39.42934416950923,40.918190688404174,40.720307725257015,37.203175624285635,34.64264040593592,34.32817921819572,36.68431751759728,40.30632260542284,41.13847255729752,43.45878038538462,46.98005754083658,44.01006098243476,40.13959080531449,43.47177488388214,44.09159181597738,39.13993872558828,38.72292681331442,41.9023518734494,40.36224946250549,37.38759841783869,42.006980620495774,43.116292030387804,39.3060149128315,40.10613676963849,43.86073626995958,42.00304801033772,44.19372092600414,42.39142691611081,45.461579041422375,44.48783785883217,38.77808337483812,41.01961340299431,42.40803538270729,39.51196277489359,36.6943941959298,41.74585089783813,40.96640683444377,35.3181336829199,36.139382576827145,40.648623339588795,38.718887700968104,34.73996357715554,30.788248623081078,33.4632595522732,29.935864172530323,32.84135779473901,27.87118209719131,28.798333002081087,26.240313612002772,23.797130198327107,23.94277615665388,25.195054018496446,25.17007850566013,28.431814133242288,24.85569984145171,27.422868302273482,23.786452587673896,26.299349161853108,30.538901512898242,33.53696512640735,33.25948083903335,28.189185938603995,30.61191042438861,32.85212112337878,28.449055424150465,27.08668875967482,31.459943197073116,33.27087987368092,33.948119250273216,36.74792982297922,39.01096816106483],[27.779360734123824,25.640005320067704,24.91836870747519,19.281939201503338,20.073914150575053,21.293820214744773,20.010409650341042,23.87897033614325,21.848700248476295,19.599114397113713,21.912703939697465,26.020973539406896,23.009320752434267,19.615759413524724,24.10340575607538,25.70989302757527,22.00882116678007,24.60271305958885,24.13608594621281,27.42657518127593,28.996084882937623,32.787242610562615,32.249684110259,30.766383835799797,28.820292843941605,25.114189901698712,25.063275433990498,22.268289511280646,25.052298604777192,27.156305729169087,29.57281556172865,31.334259299166927,34.94666929429608,36.99816335752751,34.50502791187856,31.216202119452145,31.945676595933666,29.816967857020185,28.953722729962692,35.00762632152352,30.369151186604725,30.87168103057776,35.30324632128183,34.40225986491114,34.997003992634156,33.48825287099051,37.63777456178803,38.010766768727095,34.00731686134784,38.05838778322979,41.317387878748285,38.97834012543117,43.16285252089283,38.44430056179646,44.53938000202046,45.107076313307566,40.572320097225294,41.121945391771796,45.40585962268774,43.578364532825,39.453007664295605,41.17580844376939,39.95454906448116,40.0936623606732,37.601396603982536,34.92042135648713,30.97812016145645,29.716694278969907,25.8689322045012,25.359590241757154,23.24295628550641,25.213099411717128,28.27640158420608,30.611725621340483,31.67148644502892,37.67596249020242,36.60068353341708,40.45851715299994,39.282251883307936,39.87563319960368,39.62868268610644,39.122915438086196,38.261258381590984,38.39750155096361,34.607248427631596,33.59783674762281,34.21539013010672,36.67322018512015,34.368591853422956,38.67622266605105,35.55297948654749,38.13999024353411,35.60698502043752,35.01778909973608,30.759669633023705,31.51752390433101,27.67186231623269,31.549552188264176,30.441284695754668,34.26088087048965,33.53875223771216,34.596413479443775,33.958267845445995,33.74036571564474,35.817774653040246,31.78928554072291,35.35515770416585,33.90941724090586,31.15651398834836,31.47855571872777,27.118339938780142,24.885985888940592,21.948435445834143,19.46798988080004,18.207128114484266,15.645105042091398,17.532844025230187,15.22920307504911,18.98870269043373,19.85615675738979,16.425914840815565,15.788238609722134,11.844828646784777,13.166899857483767,15.278199035398208,16.868771562186065,21.291381268417236,22.375980950347195,25.641882660223338,29.037686833436894,28.5340916355457,33.045071884089644,31.72116112425058,33.14359003411476,27.86743782349741,23.793548232919253,22.380622225196884,18.820095850077003,15.332865899409335,17.446343023421644,16.215441728982558,20.113509929832464,19.645981058548546,19.17862401919918,23.382808430140866,23.447609123725943,20.989770508303057,22.847257341143926,24.55873439409751,23.837084823041756,27.554327279904154,28.086696865016105,33.23193017558852,34.20188557921559,33.25120782129723,32.722636833899294,29.272165408220012,30.374636375478588,28.62092521437603,28.8173231571587,26.009444302120347,26.91543151585391,23.168107869328992,27.698028037362096,27.257821239956858,23.305356849065245,27.33186794408384,27.915367927504562,26.457941695443424,22.640192038582608,24.387839172970136,22.408106372248984,26.83433036646012,28.89624744078748,30.53736747376106,33.10123527957591,31.377054438004954,36.86053344356563,34.75220772142259,36.3314461675026,33.202320913673915,31.97469632043969,34.92440576787862,36.42179730205802,33.04869131268618,35.22737766229684,33.839924112390484,37.10668283319787,33.73649424730384,35.354063870832825,35.20282652278466,33.28652793767415,32.960110930206746,31.970194732672287,33.62239628348878,34.941673837754294,31.101069040665987,33.93832432360327,32.72280349179761,32.220705442544826,35.99844808356338,35.369491434913215,31.239730984631446,32.39893835877046,36.01761177862295,32.565033659328634,28.962268534305455,33.78586621626323,36.55036218674566,30.996093236816385,31.93304112709389,35.634727366503526,33.4538308641552,30.336554972604024,34.17096161450588,32.724184388752995,38.52997663298249,36.4611610160174,37.03084780442516,40.75266807093802,44.66948077581014,48.97880851999569,49.5076377877984,49.45143425022364,48.090667789521056,49.60044372946504,46.310044778804674,49.697191035016616,48.93393658160299,42.777935433315875,45.01285964698935,48.06264668096912,43.968839692865586,41.11012930561354,42.74784346857823,43.005584911525766,39.37063020195196,36.64015655379107,35.92977122037177,37.74057736889886,41.34323584957645,41.88006938209101,43.82351553791195,47.112879011225395,43.858800131352375,40.29538742700545,43.477371483315224,43.637539654196964,38.682596380089876,38.56705810417845,41.38644012051532,39.55540322272449,36.90309013093365,41.728593367038364,42.470222495303496,38.5060473801238,39.84995970601098,43.720187286482556,42.19267139770656,44.45851994642089,42.693956776804434,46.0855968008905,45.18519727327374,39.45670816025695,41.962478351070516,43.63487218612938,40.725617836685146,38.053737474534074,43.40392285556481,42.79730671064353,37.12625038559478,38.12877026545318,42.88876895294288,41.0461799206562,37.06424706999483,32.91907272890715,36.06176009753661,32.41324144695468,34.80914988138575,29.56367337915831,30.064879357435917,26.893073458035413,25.121024895171665,25.574562210500417,27.409708070533874,27.284246992229388,30.054016820673855,25.90565048463896,28.317365699521222,24.081599174204158,26.25985233926946,30.0096901489728,32.86640867460285,32.0835102583299,27.216558966564914,29.744180963124887,31.422779283401482,26.761981131480205,25.770752700721776,30.00826486346852,31.29433344866843,31.9595556196022,34.75402834265582,36.98249442015539],[24.349859534184095,21.745460918667042,20.2914353316262,14.910114297779815,14.878080312526135,17.172365738460204,16.02060615303146,20.186786678442072,19.15283563105275,17.4186919397252,20.445807644655776,24.125044845700657,20.92739659345715,18.52557021090253,23.32404891817469,24.367164809201338,20.65722559984915,23.920081856036926,24.139659869322998,26.689615942660453,28.825286453909566,32.25656525477054,32.23609254210205,30.702298674081007,28.17469338943084,24.72858434853468,23.79797266336851,20.82375654884189,23.534828610944313,25.20363730932906,28.789123510710056,29.53793364392769,33.52119537320273,35.89610157614901,32.97098618186741,29.85939391520191,29.756396122497883,27.89783491157128,26.70040891488054,32.51343648297042,28.310262770421375,29.547059123734304,33.91535840615199,32.878918122482105,33.906308816367364,32.208450249512126,36.38217690424592,36.44192956419151,31.909378645699928,35.81028183545483,38.89584075757136,36.640282027697964,40.98519058273535,36.152026513156905,42.26726604837431,43.349526526967914,39.003462428318464,39.470306119143714,44.01420499813426,42.47148978760249,38.61555560550957,40.60373439847256,39.406718487915256,40.163265593108584,37.39453543911515,34.33210650809631,31.221462593654973,29.636543271103637,26.545883029601956,25.90193797621164,24.375276632272918,27.031659213488826,29.38467980944456,31.619362529137586,31.89611595077055,37.95841975523887,36.230212161678566,39.89416366233207,38.250416719362974,38.57794949614687,37.73060435378637,36.75538723210287,35.41730461247907,35.227734363031885,31.51751708158963,30.928206579738923,32.257564862940384,34.57887462181194,33.099440113376076,37.555573230656016,34.95942945445695,38.104920895943124,35.47569388697413,34.50679562486527,30.066924129065743,31.261275160079496,27.229472109544858,30.20740551634607,28.581845822210067,31.879354176297056,31.055932559842198,31.25802402675744,30.764464246979735,29.793109516915685,31.56140940889268,27.170801099579723,30.44658401767089,28.749636513942782,25.86467218582544,26.489811575426874,22.1456492410552,20.267347260019182,17.782694490976443,15.373277810160376,15.39709911183561,12.942784135553813,15.932960240480908,14.09879483749092,19.16870870472034,19.53720950190425,16.432238485389913,15.014510693312532,10.458583762317657,10.47622021135049,11.753831948974767,12.192982708654311,16.439501010374215,17.28986635396242,20.37442719958555,24.015546325743056,23.17256667677527,27.74195861901717,26.67289459143389,28.26572107987108,22.97621730145048,18.950015931014182,17.066830989897806,13.96454808960642,10.986262873730812,13.904027112894019,14.090927477142323,18.54655387952752,18.253606667348034,16.883261869238925,21.07319819733663,20.995957969426406,18.145184752913714,19.774345102394616,20.8665115635938,20.290404964461256,23.56865874358319,24.729703687633716,29.669083480281575,31.160984086074016,30.597885737076407,29.73917064761521,26.358844362944968,26.794191069690214,25.50366392873066,24.806696244656052,21.990147698364375,23.80052942104337,19.81121696362345,24.546623684581878,23.757031980228188,19.773377166163268,23.283717129006483,24.060648193596794,22.042231305739907,18.31116137079863,19.800444900416423,18.1160998130218,22.78048220942703,24.93249312663078,26.882125231825906,29.3639347144681,28.19545113810591,33.5086790699006,31.373493329890675,32.54854147624447,29.351601681201526,27.592839373825136,30.47932834655502,32.076481051661204,28.899032547697985,31.719720734134395,30.895834618604006,34.11367696858317,31.205845967252603,32.12866162514432,31.715690238630728,29.530431537459858,28.70731785978611,27.339776886880447,28.7202109235932,29.800902043767717,25.77096572546672,28.46968685539865,27.15369639456471,26.68570505822479,30.441668991903043,29.934210536883466,25.799470063794185,26.91276381016799,30.62269585090019,27.33992770802233,23.713936390144614,28.58315735753628,31.508249966897832,26.18445766035695,27.174449403964907,30.968309274963428,29.04060380907661,26.101509890176303,29.923145339972372,28.2340653843071,34.00561352451744,31.761848036455273,32.04783745348714,35.81024378553255,39.54357999691745,44.02780687597438,44.28487890580992,44.127492501562514,42.645611729935574,44.09439301072061,40.79097733607776,44.13064813918907,43.39769735950439,37.224556001439844,39.43667910553787,42.50567205753693,38.448503191849674,35.55687471684012,37.25180513968465,37.59324469418279,33.9308558077444,31.188688688397043,30.365298037206983,32.20639815671693,35.7950172807682,36.350321966419095,38.38455683905915,41.75075949427003,38.606071512337124,34.911982388077455,38.18897946977431,38.541177822095385,33.57470274406286,33.38658765772164,36.44086122011804,34.806360686291946,32.048490323362316,36.81502634826112,37.82171828780258,34.08350272673975,35.187282599408654,38.97283892469604,37.252912485810135,39.32861873549499,37.41433167556666,40.71628525469414,39.96818297792433,34.210958560139154,36.52272000022797,38.278706740428724,35.46903964755255,32.62410186697353,37.969454043587525,37.56276337013806,31.89275938833704,32.736636913193976,37.61477267334246,35.9893216847215,32.022344269307844,27.963943256862137,31.416897297204287,28.029036591023253,30.33417853720723,25.07173175758734,25.173810650237517,22.168267107598524,20.64813845096842,20.690727986015702,22.559985365193135,22.087620796453372,24.657864219200277,20.383980879316656,22.74829796340335,18.613656356352106,20.993225955000206,24.921043838033906,27.913746049766264,27.42377418173505,22.433777052543373,25.093820164562043,27.15910552598563,22.60077580025213,21.631585249748046,26.097540127362322,27.754063549207014,28.360751105335204,31.18054588449413,33.422981016512644],[29.004294156581924,26.184198687684816,24.1652201283838,19.171407822434755,17.916297935112418,21.05328080089514,19.293303577494434,23.084404644264428,22.364330297274883,19.84821689449484,22.76648383267264,26.427904415586113,22.306426219989287,20.13628017483752,24.370880471200977,25.040162493242935,20.683197345310166,23.211091785946874,22.40484518391191,24.77248275775362,26.33478631012131,29.42921902703816,29.05556769402063,27.12261996763491,24.897629099596347,21.83075617692072,21.382557343393252,19.17867253437297,22.637399809870097,25.07091331745589,28.808437711227455,29.938021748855068,34.03384830331441,35.787648487560425,32.61921982848654,29.047248434085848,29.241380723709575,26.32711255790558,24.726176951049624,30.219927834113562,25.432022471619497,26.815727767050852,31.052981098841087,29.56210471856265,30.117847211715734,28.11682126069317,32.22262888437792,32.74510211840513,28.344832852461753,31.957997148283912,35.40538042358615,33.43582837398597,37.94075300888021,33.449446817350456,39.79184593721006,40.41100698728706,36.02526514429373,37.083304027669875,41.42452364166867,39.34554352990438,35.76921997728845,38.21146268174043,37.49046046467773,37.813713590947934,34.74110742078814,32.11753015979892,29.164285622862135,28.249487130582633,25.22725879039988,25.462431218469746,23.769488057937057,26.463674857797383,28.86364275571247,30.33723289354078,31.022017145838426,36.82172069274429,34.75835479878935,38.74565212455606,36.85524048532166,36.70780760996963,36.284972831865154,34.96401168222442,34.34303985590045,33.77129693199903,29.70166611610068,29.513320214151218,30.556518416241293,33.62313222836554,31.779205204128225,36.79301689573113,34.27424664732753,37.51965972414889,35.36267270371374,34.86461794687797,30.737315936679156,32.33365980952877,28.638291540480278,31.44051272156355,30.20930804722503,33.95027122852094,32.16472401942271,32.67325986597312,31.288467476617903,30.676487415104862,31.703460253241527,27.794425774793044,31.125079006500908,29.187293924388737,26.939697841016876,27.79902824249899,23.978555999469854,21.393049780096085,19.64360051662217,16.266269395210358,16.244634099393696,12.872851223673603,14.997527372237863,11.930277369711414,17.006961382372264,18.559200150259606,15.864788350266755,15.438854885625965,10.758695019375926,11.851088668905186,14.200302661671113,13.53669625591741,18.78145764308866,18.43998358342473,21.285182036544484,24.186421557060505,23.208849506982723,27.564511072066654,25.695026907143063,27.58564623648475,21.986113604024105,18.36728462167879,16.75888584383489,13.04201366597752,9.453863308825644,11.807274422162838,10.174908369814586,14.595796161473313,15.199119166335537,14.483266125337003,18.723998347947813,19.634174609096988,17.216936464498524,19.883844706664355,21.497719060997657,21.953381784485863,25.525514129279305,27.318744635885157,32.1223333331991,34.30413930248645,33.306747643110235,31.87757317177637,28.153275326143593,28.362808744426722,26.409310103049794,25.460118651883104,21.648620640347882,22.86651694595874,18.09511988382994,22.532939951630322,21.190550490265885,16.612654020142347,20.58167824143997,20.84393722987134,19.514764079022395,15.751479285838808,17.83091763787201,16.244219444599953,21.00797705388335,23.62017309269639,25.84596692063148,28.910888135895675,27.96122812519565,33.10138802450554,30.262833275975126,31.63965035393419,27.767711022000846,27.012729051803756,29.146296342118013,30.243775310363763,26.877114582021864,29.15263003101874,28.25064717512542,30.994164593039265,27.430813436063122,28.729642221612025,28.30294340780227,26.61281205016333,26.12867691260034,25.297001467019165,27.121869019987358,28.620493168386442,25.182563095190343,28.41334199390144,27.800848717622323,27.742084396235153,31.852275368820074,31.766486526161206,27.70352422044795,28.90920871990892,32.920343965669346,30.094925535655587,26.481593101804698,31.35904234731494,34.61899739703593,29.722713600491538,30.685702312793605,34.57968065051186,32.99222387845846,30.192987239045113,33.83280965564846,31.801978584287706,37.586001198804645,34.641115215634564,34.8686839396022,38.77457166592931,42.042615554325224,46.76795103167002,46.55296803966929,46.40590375655068,44.565526393968916,45.7795259527095,42.3661769216765,45.27539022584219,44.69609409312768,38.506149590011844,40.33874187759399,43.15627521634977,39.18045258940761,36.13936463198482,37.28675467332462,37.713620900719846,34.45016155073559,31.076312097989558,31.153967016976374,32.777158882246844,36.50874408540509,37.71277975578812,39.73365414155915,43.48912534802627,40.24553465685731,36.581201779181775,40.411752117917786,40.8701626191213,35.89436406053206,35.989451484524615,39.40402784111072,38.00904223608542,35.325726613903285,40.02071332290665,41.332592785289954,37.89632677252534,38.80490666403551,42.45480593764582,40.474033670298695,42.20041775395233,39.93780856316571,42.991599057139496,42.61496855538806,36.84915497596702,38.56166846016527,40.404092599781535,37.826637179368554,34.4961890399153,39.49639951704694,39.40205288333303,33.78223068761773,33.967463170623205,38.786280504959784,37.48278194762289,33.55836916418077,29.91104786212671,33.06253216838668,30.081343582204326,32.91742152440466,27.9494612308349,28.080101975817932,25.6536792738723,23.8939048197657,23.325224094493304,24.545988864854085,23.659990605476022,26.426816305447133,22.27572467961064,24.083460553783066,20.372097960776493,23.672145242747753,27.39780920520509,30.739303867334435,30.195615354438928,25.45442863092268,28.61822164086499,30.804020142312776,26.071743992953014,25.714086895815903,30.296851408250816,31.917398267399268,32.38137706768001,35.105666597116475,37.26290873074414],[30.517584577167245,27.943328022980957,26.17963984605677,20.951839997234824,19.91488761616347,21.783794037668578,19.499320662451147,22.86093810932979,21.346944791227518,18.187409443079623,20.574217341176084,24.508769367499788,20.369804284242136,17.54629131034626,21.489687715225454,22.502433749575523,18.151523465488154,20.27773869380408,19.232235911158394,22.176412142213287,23.58399103436475,27.11080128578157,26.59171980928378,24.967790072363247,22.92039420525458,19.39993529645852,19.393744992445352,17.023447421278643,20.356921094550998,23.03098748201576,25.89686248840921,27.737797864684588,31.558526882890057,33.11259759693726,30.278474651511964,26.638137072789196,27.462171222438915,24.581840568576727,23.459071878001236,29.35024872502976,24.467417934904493,25.065472532056067,29.440268299107732,28.378165235185186,28.92985796941404,27.422229729416276,31.584097236871504,31.925443353309756,27.972995821332837,32.07281959012856,35.32723282997179,33.001891833343365,37.20314007677711,32.60304407566279,38.786206803503525,39.18675221965262,34.650957086824796,35.449887607529256,39.677315926399025,37.6730629933443,33.709145575437745,35.738758494540285,34.8126543082234,34.90642412718417,32.1314410618454,29.56150592802453,26.00444890408181,25.081045368377804,21.60296455570159,21.79683864271434,19.83659570288801,22.30215364258278,24.963091448442455,26.584163263868913,27.59377183193548,33.4324694191404,31.82023984673329,35.86735284791902,34.355707363776624,34.56111624605579,34.48707427946385,33.72174653734632,33.31515531374985,33.23175991105598,29.247792031673843,28.43188180152074,28.895071383230288,31.856733405430433,29.424049283022406,34.21634890810622,31.319369109352138,34.22109432917329,32.072682504975354,31.786879330298216,27.773728242836896,29.15262163337075,25.608697066120595,28.9416755168618,28.125997057260665,32.34193509475683,30.524777419921765,31.83208708039161,30.31233607221833,30.492132789626147,31.994700233414036,28.522386578270176,32.2919446192611,30.873684192131698,28.792973322541958,29.044413336674417,25.219744704259487,22.09397734107659,19.74671109154051,16.337389739941393,14.93097232257781,11.572983686442297,12.77711037936923,9.651831183127225,13.79422066498845,15.386159904644188,12.420712795233943,12.497012349865624,8.282155289311554,10.504722122082569,13.699719422725481,14.37792759017707,19.8606298616113,19.913627578675552,23.141037168258162,25.72078473063855,25.637796424444065,29.887522137345275,27.954650110963858,29.191058392521033,23.91454830027576,19.99938875722778,19.503802042919556,15.138809968821901,11.200102850446353,12.391318155622404,10.396890110316455,14.067303591115357,13.679447005514934,13.524335886988288,17.719518100025326,18.334434330797013,16.20714994328524,18.864814533349783,21.07239135005059,21.353035055591178,25.42284450817636,26.67842180399232,31.657302674604754,33.569436584971854,32.078429709339396,30.790811699688998,26.949109797400503,27.77941430844819,25.347248202993796,25.382615483354062,21.817383514404995,22.116660187636203,18.01019708028423,22.298074012257313,21.839936157215668,18.052635201905506,22.421151450405787,23.189838274028183,22.390625007895043,18.37795290136177,20.1347258861876,17.782461621959047,21.923188165098523,24.083048470142305,25.750575745920568,28.704462826020087,27.082997451461704,32.430476908761634,29.83914936320459,31.62440864706623,28.17557473545901,27.723828496108446,30.32067394445113,31.596445187263047,28.065419653598624,29.730245581069312,28.126300865549435,31.31574765468881,27.851981902940825,29.749026773481248,29.881414541406304,28.007539107941277,28.21072356501404,27.65443858997021,29.679394240154224,31.537125230356352,28.180764571581804,31.371435104011873,30.913854966802766,30.334075469365597,34.650270354969116,34.08584316100284,30.03983233909081,31.786014949414962,35.56470028726464,32.38445670813481,29.297716907633383,34.19718513740851,36.944787511326155,31.97847047646779,33.272038567013766,37.032344122229446,34.97867589213056,32.39603022289079,36.357877673043724,34.64682911860129,40.31901630990764,38.00869571102001,38.050585312977596,41.81778408130537,45.29856539410887,49.97103703845317,49.837554169623594,49.4244460083388,47.60571423148132,48.68446190718675,45.08071277296399,48.17574440438918,47.874842910186736,41.63433987485722,43.306060014561716,46.44300633367166,42.628687574230604,39.42283342357483,40.55309988649021,41.374446349470205,38.11918701368892,34.48037233014529,34.4320715688099,35.49143049133929,39.232869548741306,40.31896032847687,41.95788546473477,45.572817811219586,42.017773011743415,38.688524529799786,42.503406247734006,42.51725074213257,37.536665078112485,38.00866324728966,41.13694174958961,39.49709507943967,37.149206786955666,42.02944666014743,43.03628799762411,39.48827482345182,40.88385407830812,44.6254339590463,42.90939779674821,44.6600473175347,42.37777582284222,45.675780696641176,45.42013698739488,39.642485435521714,41.492326563532124,43.58161627741588,41.021938258706605,37.75508719035629,42.935717424525784,43.002448778938664,37.375002499396516,37.62314306319584,42.59702634235168,41.379782528309434,37.45568980724144,33.6997622446619,37.084818992356425,33.99866425864176,36.565462722036884,31.420789417318428,31.325111658123447,28.454513359199655,27.112547555329417,26.799589597266216,28.371655086443404,27.449761825516795,29.891772767001942,25.315540529700677,26.882659586913437,22.693855782370708,25.828272955034457,29.017953527081637,32.293281260648776,31.180311076304104,26.727121256945676,30.103757030831343,31.72357038295342,26.659022056692073,26.82643006211934,31.292819852639923,32.340826685050345,32.73827593230142,35.41338070167055,37.49977936133273],[25.654022780773992,23.137026522604053,21.4350335996175,16.19870815916505,15.416012489828818,16.48505579333048,14.28570218616615,17.824821777160558,16.26517089044516,13.661991289598008,16.426859920231394,20.265396335507198,16.744887757651973,14.081268762777901,18.721741656109067,19.830780815436675,16.091321284786602,19.30728694854848,19.767735694342303,22.46929398209045,24.790006265983628,28.458051765345,28.615485972575108,27.453569696776103,24.78262456769033,21.038632285673845,20.020949636463744,16.731254186702987,19.183857504469128,20.887669167444454,24.11814917858985,25.159405727475505,29.038602167509964,31.313961650284234,28.53068422700262,25.42941870595998,25.61492727948887,23.93370584075344,23.120400725739707,29.24992359774172,25.204650986634967,25.94492156348264,30.401163768976502,29.80678460490442,31.096946042357718,29.88789947007649,34.11449137979711,33.76023401793654,29.472239800912348,33.86334024919141,36.608212806271645,33.971228833456024,38.02725238696962,33.01474172602928,38.938046256482984,40.03409228751786,35.63430192177271,35.742606344641835,40.28089197927284,39.002237940242026,34.86959588812583,36.51228789131392,35.09245971129611,35.957058853456466,33.39684039994877,30.17776652896774,26.918316733844843,25.105161117361614,22.01979893244792,21.193068575199487,19.780143984309028,22.588265402413487,24.737309430028503,27.0813111571472,27.21887784558451,33.321483746147905,31.734681511825404,35.33780237423905,33.868152440987174,34.451488294907705,33.68874583374172,33.114295843090005,31.812555174805734,32.03108240611259,28.449468456651978,27.33458748862296,28.354413964526557,30.487099908013292,28.7709225062855,33.04884720144806,30.321858501087476,33.38909313418721,30.735623634291027,29.817120149075787,25.421156427226684,26.64877727033379,22.70566350721014,25.80431508471316,24.450185774768574,28.172435103172393,27.083136887737105,27.916720104652534,27.17981621449529,26.907526286139,29.037991864094245,25.134452499651868,28.895046086878022,27.760763914490074,25.222095276837877,25.162981750463853,20.97604860227764,18.285320594020977,15.332503674828528,12.67146575899107,11.463054832363838,9.023037521011686,11.661612108775845,10.37569191553961,15.106596233891421,14.96654218431673,11.79000882979153,10.281680579071104,5.825802746746054,6.416057639584165,8.795122805401716,10.442233658016796,15.284307720794637,16.232250623183052,19.72297251827015,22.817739021870178,23.084639504169512,27.46541172606053,26.26258342505655,27.076779095484575,22.169381334012808,17.821569622140373,17.412825332912124,13.423913267378277,10.09176326132333,11.881641932509176,12.520980469886391,16.43002842975771,15.112132783178518,13.754378880472457,17.822982119263614,17.281843310264744,14.555216574930789,16.088627605462385,17.69707259210615,17.13272471118841,20.975431026329115,21.88103708622705,26.945940628226804,28.541088511547652,27.38603184564441,26.39818535200768,22.802965535026903,23.677142071441548,21.870719885306247,21.971409183084845,19.3233783846999,20.38951612852699,17.064161972923742,21.71436346431608,21.80729432062225,18.752507202147633,22.550468691608437,24.05296064222404,22.537650642370544,18.470436269097817,19.491042356751123,16.932208731638823,20.926893494891594,22.586521048652298,24.007693558824435,26.365538306182838,24.647568200900523,30.131034851403648,28.2299412396579,29.732339205534124,26.977600258650714,25.449612052171553,28.830072092570813,30.660107145083014,27.341141951722253,29.6801858869214,28.286906444913885,32.01263198246964,29.479454659621226,30.76365743224525,30.92235552840225,28.377094960831805,28.225546024999506,27.101272302371914,28.697868703856674,30.256415236662466,26.387309717038434,29.08695541122987,28.170334962903745,27.035501868538283,31.191471842238478,30.142133124347158,26.086785723968173,28.066533647251838,31.523856752264365,27.96998207461739,25.26574863873089,30.12148453326984,32.39519447632396,27.339633318700255,28.891760788105394,32.4990024475263,30.122108816343484,27.776331000042166,31.984541307589485,30.56906537417388,36.04065920831574,34.49943236681996,34.264615167287715,37.83060466208015,41.58970822300932,46.138002103301524,46.19713595409481,45.5632131644106,43.93450138932633,45.05468724663409,41.42965408076919,44.89005569611529,44.651219125924264,38.411583356923174,40.238700054656356,43.734300744304704,39.984362451685904,36.78389378206334,38.326107365974146,39.35511610003034,35.82449463172001,32.480433051085576,31.671255073550576,32.57711989368943,36.19976767367289,36.76984702989198,38.264092266059,41.56394288707141,37.991164870060416,34.747801835297494,38.20991939400931,38.025340342416925,33.057522863338825,33.50454334288653,36.352783056776,34.5415933875525,32.29527871771971,37.25988159503666,38.044658832653326,34.40272053766947,36.05977330108193,39.858383659237,38.365356352042745,40.22431764735517,38.082827980429,41.61554287840058,41.279835143452,35.52986214075084,37.71726433949524,39.93524614606672,37.321163427084606,34.32760364035072,39.79657001269191,39.88596986376729,34.27904805574108,34.881213039593526,40.02838524030747,38.802075694742705,34.90075528683672,30.932117916204664,34.80950087101484,31.632617823532495,33.59412794024038,28.25404604527972,27.713261205183066,24.381832350538517,23.7023979466731,23.63184803507995,25.787926072434015,24.856817673463592,26.785587980377255,21.85142942422,23.53556609426388,18.895167229604183,21.44127463280628,24.47561362513408,27.54246782387007,26.318403504058974,21.826388803774794,25.07817574595662,26.49264513036882,21.42862485406067,21.59160513805331,25.997780456046673,26.933669735711966,27.36571742361953,30.09614211904047,32.202214566187735],[27.74017258458956,24.72196530541193,22.026125778331956,17.518437055942048,14.975728963383714,18.119132013042417,15.754956181318885,19.151399575679324,18.9729948507047,16.351098184484407,19.493113219497182,22.76691688730462,18.317839693980076,16.951139952000776,21.06105756834567,21.25751984177053,16.936865633340485,19.854848960230196,19.762660576796854,21.54979634188481,23.704337155522524,26.645745069807578,26.852518647481556,25.20220245488979,22.3754153053366,19.341339297445316,18.03733519705562,15.509971275955035,18.726801207884385,20.832648975328798,25.248705679777217,25.756743991023647,30.02812674336177,31.926313325733346,28.532905183896084,25.13360706342355,24.838160954015265,22.2467401637095,20.61527014578599,26.142562321021373,21.854612142466134,23.508888512173158,27.74934378870913,26.50196122142397,27.66346388770313,25.919299046036745,30.0904018587819,29.978833933420212,25.30073445753734,29.219425406127417,32.22606377505613,29.995959838006907,34.41252396252423,29.660430960967517,35.8787058138782,36.94720121513878,32.67823708758435,33.37611872708189,37.9271881481736,36.303551951470226,32.735810148497855,35.110410121434796,34.2377253334297,35.14006647595418,32.032300784166054,28.99031686456084,26.635412835348212,25.313573037318374,22.965247199815053,22.98530589433146,21.86160894601153,25.07462991304108,26.767506683541352,28.217405309925027,28.189889348546185,33.9899392306254,31.533883199594797,35.28914239534168,33.163472519724216,32.98755237744845,32.13417234746832,30.718039187323836,29.733119722235127,29.184422523598535,25.254057553030194,25.045992750263427,26.468873814192346,29.290542435264616,27.96801564988521,32.946326680066626,30.78210898722301,34.374047699005,32.15540326564072,31.41574066361359,27.261737697068178,29.19786383810997,25.527361312788987,27.63839405393184,26.235168715102258,29.813456997053695,27.722732278098313,27.992198071004736,26.492012272400324,25.781212301664596,26.755985776257624,22.937953408683548,26.409796018142476,24.683039206418503,22.64139394145256,23.238860098349047,19.627814793947113,16.643146171527743,15.146779805997513,11.480850390790916,11.915905941856197,8.546514789753765,11.279979605938333,9.027938493111437,14.893902010574047,15.684035348929974,13.43227291673504,12.492420634714781,7.904011843660007,8.215655576081522,10.476436634788493,9.045151792538606,14.716698956766967,13.986803780077855,16.966424706374635,19.575400073969217,19.21759161634492,23.49009287453138,21.683796989397845,23.088749240997622,17.70903897779987,13.803734704364631,13.100776076724161,8.772398141647757,4.979194657314823,7.348204918938773,7.871157030033155,12.384981431745965,12.277321222964593,10.6218527342536,14.778898033417203,15.283004554956017,12.62844775705699,15.173530499745231,16.645961562939483,17.42703391108448,20.983325896258023,23.168925843191865,27.789348209487645,30.462435004049137,29.35051957749449,27.555815189713122,23.775313462786485,23.702890976993785,21.729823260800327,20.542325792558845,16.704802435626597,18.150760380918555,13.521064330917465,18.146715126899668,17.16612109435048,13.319868096897629,17.11865381869737,18.28840614063589,16.871771572693405,12.796269768910868,14.18124613811408,11.997881344487025,16.548063098806217,18.91116216344616,21.048474203840456,24.00515376870287,23.152928552973638,28.254731267448992,25.52910866041356,26.820129416561677,23.180546514504897,22.1760430255906,24.644837643682617,26.031723770403815,22.678316034350125,25.156234226434776,24.28234765078128,27.43535133879653,24.608524413236424,25.586283545529803,25.427658405247886,23.133989406797,22.783968552202747,21.807873877137613,23.59923203845931,25.325932586141228,21.840522675106246,24.978614933939728,24.63717277616971,24.053900498778702,28.48775585057861,28.076220648304737,24.091086632366107,25.959865475428614,29.82493036424136,26.95598099022459,24.089189006203284,28.938851830092396,31.791284570630317,27.33618473109952,28.753383660916533,32.528189893370346,30.809980544397508,28.61848343994298,32.4884722647303,30.523867881123504,35.99245936327365,33.51480818552921,33.120229197854684,36.86853697020915,40.01177902837126,44.881303522203716,44.33489901162496,43.73519309628718,41.69744143617477,42.60302321398026,38.92630803317488,41.89769691972519,41.736232527397775,35.48902472334027,36.99150546750096,40.18173659712324,36.48674574039469,33.166881328363196,34.24232750420203,35.319551603541036,32.138728959346885,28.25504285662608,28.243570008114105,29.10147723930928,32.85532573697866,34.09341149653161,35.75387243873289,39.52312696685532,36.03029891801863,32.62041630463898,36.67564626426961,36.872280226654404,31.90558441126659,32.441424980692695,35.87090746716919,34.50958591601677,32.1532648164512,36.914828837993234,38.25229311318312,35.0879492482004,36.22051396961318,39.790570443956845,37.853825400124315,39.26207752561166,36.71761293866544,39.873139470486244,39.934285722594915,34.180675324450064,35.638225947268054,37.907202447594045,35.5694416599808,32.00889583279226,37.089846961525524,37.547278536837695,32.01066673077155,31.887138961462128,37.00367240123888,36.18654300871644,32.354261264381705,28.86421500506969,32.584496193805215,29.97416940821235,32.402368935843924,27.406463328409917,26.72809891211879,24.20598030655744,23.32332006989746,22.385477093684948,23.868000625632348,22.347684634183473,24.375225521231446,19.60738767529653,20.753246055105873,16.76041217617425,20.426683337920238,23.54708891067514,27.04953541480695,26.196764885470557,21.81422640235765,25.503276233689878,27.491468913454234,22.5658615375142,23.07004882597487,27.686649818499657,29.050780572936628,29.34114582888898,31.972195989550855,34.00331477061383],[32.2506669005437,29.317128260910735,26.71009762418628,22.121139061293366,19.61059802012836,22.445102411744507,19.72141320200308,22.686187558763784,22.093579221119303,18.72097116010319,21.334624414485532,24.779055943934093,19.84546191147371,18.122476203411345,21.543801530693802,21.743331086260177,16.983558185960717,18.84402519936733,17.500710699148378,19.54648090582805,20.937144792756,23.852886434361007,23.530740213574653,21.622242485265943,19.274932558827928,16.310936677256368,15.938332078206566,14.192176572814052,18.06991346041995,21.051694334034625,24.85002290158771,26.230804296897592,30.332862685887815,31.55459776028803,28.237384392821305,24.390667281502214,24.858951046130155,21.28254901643072,19.59065509169119,25.04301153709594,20.0185283894786,21.254512295558335,25.470610145062096,24.00921807428542,24.60240689192842,22.81920727258463,26.989469068431507,27.322365598772777,23.094075862596387,27.016681741317814,30.338083475105652,28.19047941271295,32.58611981496167,28.128247100700822,34.47720906038368,34.899863069614064,30.466394653708512,31.616934200688437,35.872840245120294,33.718267790887154,30.153994717426922,32.708691502119,32.16714338091139,32.433517560698995,29.22904249288143,26.700671232310142,24.023067209532975,23.395801343687484,20.74852410982066,21.57369667015911,20.077298441963617,23.055415994064695,25.029684552554677,25.889780223625948,26.538268585465794,32.095640824275705,29.702587458824933,33.8091478931614,31.75322271415574,31.37821852261991,31.21078178493719,29.860988981559363,29.73431973552042,29.158286837022295,24.95810291009081,24.715707164632313,25.412223787072403,28.873848862893986,26.760022986025493,32.071164652522576,29.68589166584076,33.065537585433574,31.274786587488116,31.102368427643857,27.321094859904758,29.34651716109369,26.068972213856103,28.480297801456082,27.681709612616746,31.851169441646487,29.130144599471222,30.16705728944607,27.948274697828666,28.043277717026907,28.72465743884012,25.609241243410533,29.276820548586716,27.664291913495195,26.182366964792855,26.644351060206038,23.428974311324374,19.84826480071924,18.501486983192407,14.414544992370017,13.783489244263835,9.906127170122495,10.815194392167525,7.010115036544948,12.13774021320352,14.28186637062499,12.302603565368717,12.691036107007836,8.676396150544518,10.606631076621548,13.869454398560556,12.90597802405028,18.841464340482595,17.72352795310917,20.583215836937715,22.426767235500126,22.360361140503763,26.30254233482661,23.847969009027995,25.1724783476858,19.843219437010156,16.34459803688299,16.37267046275959,11.669322684230536,7.714523324201852,8.061375120924641,5.182976649902829,9.254939322242706,9.63371068797338,9.384752291855962,13.547466737962491,14.973364327404767,13.100274080922476,16.528935765181455,18.794312689144252,20.13608597784201,24.096262347462304,26.239177387575275,30.842514949970546,33.652285681304555,32.01301068886564,30.02666927221206,26.010478856062225,26.21991255643428,23.500070069315356,22.81635175782024,18.442386537888,18.64261662619867,13.80182687617248,17.870264696056683,16.894506314813615,12.927137592232528,17.44586056296417,18.24846609910265,17.90671360019501,13.875623138779812,15.688391863765279,13.310530517463187,17.369012840858527,19.848892762930245,21.838159403088103,25.204435815586468,24.102398172177182,29.12160404812,25.95320001198246,27.688142715855996,23.722384139078137,23.877508095565062,25.869104129561283,26.845182718853437,23.25948520890004,24.748452123334133,23.324884833636116,26.231961555731417,22.68478734749409,24.503800645467436,24.6570798927046,22.85221498585134,23.257252233407254,22.996305979387696,25.267698526321063,27.466054922655907,24.593060742880237,28.056771343696802,28.240852011699154,27.805956911877622,32.42234115161374,32.12434654643709,28.24248981865312,30.2369509807227,34.15704182574233,31.42698053360585,28.651104222826344,33.473400230631356,36.353967056898206,32.00804106574739,33.42818399093254,37.21035544846075,35.489013491342725,33.29664911353129,37.151029172851274,35.14389014621804,40.64756248824902,37.95208317142787,37.62354968425655,41.413966266672794,44.404058559895155,49.33162910509604,48.623079553662244,48.02045129941028,45.828639683029074,46.5809270267106,42.82616500095435,45.56250116191411,45.550066260591315,39.3337563450082,40.559111634464735,43.62116365496646,40.03050640988034,36.6285732168248,37.30883309740513,38.48379548351727,35.6010096054076,31.31864400990331,31.89828839033763,32.48267475123569,36.28361639921011,37.88446929530207,39.39867331155694,43.31759971913495,39.68048138342013,36.45203776782623,40.766379726698105,40.8542658891409,35.92908445994318,36.72746461295727,40.193472874795546,38.84959344101654,36.64573487159456,41.410676093204735,42.75623943336826,39.65057010268439,40.85484082336044,44.3992687232734,42.441357856621075,43.73009217401729,41.051872090441584,44.126574683482836,44.367682032082456,38.63817580908346,39.85011367931849,42.16760608769541,39.93433398701941,36.19893344192774,41.08187348888659,41.66567191236357,36.1765326390608,35.75736755620684,40.78343161839213,40.086675843760695,36.284153703550295,32.972473049620994,36.42403177962992,33.904316704707966,36.62246643602738,31.732920941723552,31.227153940103598,28.84044223449,27.7439699234969,26.74857184755147,27.94789324781127,26.397859592698016,28.5750058967417,23.9431892060288,24.785775985515446,21.006520470274737,24.917328772999017,27.74154319231979,31.32159211797613,30.22143316223974,26.11621318711514,30.002148956526753,31.793317185533553,26.701503417717344,27.54920421367627,32.12450898274035,33.23647738923403,33.45881963844086,36.01428162044884,37.97912906179696],[33.50741186808741,30.853731879686098,28.597773178389883,23.774221830053687,21.7054916287189,23.204141119454096,20.088973759713678,22.579041615610457,21.123662053569475,17.151431580906873,19.09790924985926,22.79176960687151,17.938683685202946,15.481062188109574,18.482115794251452,19.098606596247485,14.39305104536367,15.740436270766926,14.126786562983211,16.994904088071028,18.263538156941188,21.80845872703281,21.35605120917034,19.91738890901539,17.760009100455385,14.107825715407982,14.290719584800001,12.220462760051255,15.848986957531782,19.077591475519927,21.76430607664484,23.994531487623796,27.747956397028034,28.775545161582144,25.88498815692914,21.991954802231884,23.22841983702241,19.829787449648233,18.836452149228617,24.77325556771764,19.783916891450232,19.94771580090733,24.337440835766525,23.500567435855768,24.15337138389991,23.061577091564278,27.244827618621173,27.286074444245422,23.654529379831292,28.13084302110746,31.1259649202596,28.545701638127692,32.50982607982424,27.911675562112837,33.99126304727189,34.212699009680215,29.6223517219451,30.368330981162565,34.50293954240301,32.5172383751313,28.440578998530487,30.42392398735073,29.569288276902945,29.610448040368908,26.80210898426065,24.272280192611756,20.793848417159232,20.075250213249312,16.824167575509467,17.572604503930442,15.76422106678107,18.551067797104757,20.797560541956774,21.882053615706045,22.88419730100776,28.55027481197767,26.72307603946084,30.88665956774378,29.31356803783166,29.430103384359054,29.641915959564304,29.022518438762418,29.066227214950867,29.13145008800662,25.134202882668422,24.065887136905403,24.061833378304808,27.289888674338194,24.482233229917384,29.471398984341477,26.610547745383144,29.583925759933297,27.762616053139247,27.811116432390953,24.14780772916901,25.906437857747708,22.81010282438566,25.82937746687503,25.502395566445994,30.161344000913452,27.49692134714957,29.42464689786498,27.16430363218183,28.133125696925628,29.44544459963027,26.779626854545807,30.858938513096412,29.83988824360459,28.429918172300784,28.238758896135558,24.976999639881193,21.01502852916692,18.95253971790088,15.08653451479535,12.835741282723784,9.251988535252206,8.762666186586193,4.981467884002188,8.601385572365524,10.812658274553877,8.492981235791857,9.688974783008296,6.70172580567064,9.858651611027062,13.787395630793196,14.392076633708712,20.2261040757427,19.722208728978845,22.940190083677233,24.571180731786747,25.39303949702421,29.225497301112398,26.89085897579544,27.491328073057538,22.647877169276658,18.872683153331568,19.837293961103803,14.865867419058564,10.984874251371972,10.323800714056938,7.9195681056661495,10.2597884156015,8.931154036992549,9.478516729510053,13.343332308730961,14.180382753806649,12.714747695260405,15.909968609989626,18.78572455057458,19.783004570252853,24.196774204358007,25.65047471135168,30.406318167676787,32.82961183570354,30.701225924925932,28.93686248263756,24.856059078026973,25.79634833452849,22.621528775982824,23.12923229862842,19.275416068671255,18.436346117442447,14.715686285489767,18.490498112060312,18.710727114321216,15.924703251974773,20.547287367620584,21.878712784366712,21.892511811219244,17.794772828937106,19.15570131729853,16.13459364058964,19.331623836395245,21.14202842456917,22.38554553865839,25.481567514267045,23.561747914630747,28.800396255836848,26.053831327437205,28.22039151731091,24.90850296752501,25.245543238515772,27.830535300277933,29.061110176862886,25.39955416205789,26.260048009671223,24.050038703584033,27.50046257398495,24.235298611773498,26.6384969537075,27.38915011449846,25.365053550101308,26.411390085280587,26.3348294839343,28.677428522665213,31.09928451739919,28.221556264591808,31.51896810784621,31.69910085045211,30.734457513007307,35.44092766864977,34.63065048523897,30.776654966768103,33.218813138735,36.86350644287863,33.74094745256987,31.42731176975293,36.254308523023305,38.61273889712061,34.14021836200761,35.84263410233743,39.48071576740846,37.286860518926815,35.262458048827895,39.414012918960495,37.747475570836976,43.15392361536869,41.11908024825075,40.66867667004821,44.31328465979459,47.577298126945635,52.40799931201469,51.86234695371367,51.027537148471346,48.92651447126591,49.59685088697401,45.696935565648424,48.67037420321939,48.885182995914995,42.64233084352783,43.78837281542931,47.171275832189835,43.71501087279478,40.20881519598393,40.9693157662542,42.458609007896925,39.51356911035738,35.14898486553863,35.450785277736514,35.5805616789957,39.34226290165895,40.711602255963335,41.85842768247233,45.55573897227803,41.646507567180755,38.76075283840051,42.9448774928186,42.58025075886874,37.678669559968995,38.7907505257499,41.903999513087065,40.28935220601682,38.408094421894816,43.3395385711057,44.33747214082193,41.087778399704575,42.77814629945513,46.42062717980087,44.75900625493005,46.13125681410452,43.50611909053517,46.841194678063765,47.12214840742438,41.39642528127745,42.84117788927472,45.35231939318554,43.089686652533494,39.511041084769786,44.60605343328231,45.25583238514527,39.74621192884036,39.516751205833884,44.672036269126,43.96709130246882,40.14581400637144,36.651790626782955,40.32215048872271,37.605748535217614,40.04215190078519,34.946986733906876,34.29493284897539,31.43879292900884,30.68305890421149,30.025522350385142,31.610212495032535,30.15084818719511,32.07390935427636,27.099191597437954,27.861313562401,23.616543561302972,27.168804603564787,29.50494088573274,32.93212820385022,31.285794420316304,27.471805936744758,31.44370043225659,32.652866428895734,27.307814561310547,28.573858023448505,32.97727806733501,33.51922682034396,33.697443639689,36.19594356302847,38.079071363943896],[31.795697736614887,29.365696797228445,27.523009114448865,22.466242386210133,21.08220869716357,21.79525896576456,18.815099030357597,21.387821047965122,19.364703275886896,15.47817472438203,17.260875187595428,21.22545335465697,16.907869865174494,13.782953908413038,17.180534977238814,18.31857798902034,14.00444664515427,15.770234373493322,14.824256076366598,18.141016923109685,19.70104502950847,23.61050417211721,23.27454338804642,22.178970194274516,20.010658768769456,16.03584101836127,16.081720552803674,13.38802860665409,16.372453056051945,19.163247404142158,21.333044634370307,23.68161465328935,27.26552452061227,28.640128538323758,26.061187318723466,22.437290343721262,23.739609918999975,21.07575807099207,20.508521989874062,26.724996704977443,22.085221580538178,21.93930829903181,26.406386824913007,25.943577693051434,26.804291588343567,25.9607709907437,30.137011922549465,29.962305546152297,26.391462435972425,31.043281256650793,33.84315295145344,31.072915932552533,34.87007339707688,30.08873538421325,35.97646812223898,36.37915220014066,31.788657077823128,32.124672456911824,36.31243273111433,34.64108223359329,30.30191163171968,31.8482083697403,30.623669531160683,30.797738126020196,28.326306045146318,25.586091154904246,21.70201688287102,20.52458808628473,16.89232040806327,16.922637221089428,14.974613693584274,17.577397447626836,20.092117401399072,21.862434918430253,22.818886140511495,28.719120270744998,27.37021738864214,31.36021301838521,30.12800315253965,30.692843171239065,30.776471689879866,30.559201556355244,30.22401113454076,30.657866006402465,26.896437137942655,25.418501804973314,25.415283254619307,28.119964669088002,25.312769060851178,29.83539039718035,26.71795279501413,29.445042762605524,27.282802183528307,27.117645009593858,23.234233893825664,24.58648667249698,21.259149657149276,24.788330610027153,24.38554668319498,29.02399280114519,26.978093885689002,29.03277577003759,27.29300686652506,28.28621941378126,30.194704871794308,27.30795437711491,31.469819354340174,30.66197946923399,28.900800260323273,28.47617112573238,24.878353207229747,21.162480394559335,18.456583238353677,15.086377166201276,12.31235026631674,9.261643595074968,9.214020072030962,6.704273664469649,9.686599128033057,10.820530803541715,7.712682201095721,8.360462278182387,5.3868179193545,8.702980953403008,12.569278158751551,14.270122525991782,19.746887760751076,19.97418202868646,23.43467851172382,25.46905723686037,26.441429007816957,30.435079374293654,28.497108126826202,28.910525469124536,24.19036956253368,20.100416821559424,20.933374838651236,16.112503006314714,12.291663342695323,12.149364215977604,10.786343875328843,13.306507881475264,11.443049441850977,11.558933196695664,15.3643679194917,15.414252791585632,13.675324738152433,16.157607828716152,18.914562218685145,19.187162803410548,23.65397544644558,24.52655725604643,29.48306002684467,31.370789751436053,29.305138491550288,27.965688892220676,24.017131368561596,25.35756691538065,22.412678484981473,23.408506524132783,20.198048522251607,19.539592294084915,16.436098511660195,20.40999642241861,21.04059773946999,18.488845330136353,22.94625670550904,24.47155823481275,24.107808428278247,19.939471144038585,21.115790399213022,18.01175158489268,21.225505278372218,22.742129598113973,23.73207835858781,26.45517604582858,24.196067353640448,29.6397935082489,27.390419858489373,29.533938118597494,26.687840534135866,26.47804384751216,29.578453281004695,31.10546296337636,27.50911661058527,28.615044275896008,26.356156658642437,30.10732504458126,27.156862925736196,29.430046835444166,30.191342079790527,27.9381389401545,28.819935676736886,28.472759227031613,30.61993953768966,32.85092804269397,29.633352151012346,32.702893695266326,32.515808368806674,31.309116951678433,35.870197406622886,34.77960558537654,30.864461182860655,33.31454364598523,36.79054792097311,33.3566102793092,31.07939482424811,35.914598471028484,38.032303065982816,33.29044461318163,35.03900509594505,38.59849529879739,36.13311195407747,34.047098802261836,38.326741797924356,36.901771143227464,42.29553156773841,40.69061986132802,40.30534838629897,43.86777981514095,47.42568760575538,52.10660850585341,51.86092994677362,51.022266068147516,49.13178632333862,49.9365561728121,46.07644352850266,49.3149369776588,49.450588053110174,43.19144733742476,44.550900653035576,48.08952793490876,44.565783341545895,41.1255155612793,42.17653644565629,43.60667148906608,40.43440148024013,36.381257473562904,36.22394923202062,36.4643443087726,40.174456272995634,41.18314420035822,42.305633005148486,45.77433203942135,41.86168045592876,38.99664649936223,42.87094485627199,42.3697542585218,37.457255665662856,38.47037208771148,41.32533885404287,39.51191792152312,37.64854787702945,42.660972146688906,43.41421217152809,39.94872955375742,41.84826549779744,45.59049640892974,44.12597924247595,45.720167606035766,43.29974222665202,46.81308728757644,46.8772047558222,41.14670902833925,42.955370840805045,45.427772778610546,43.01954127151961,39.713710410865616,45.020309269929236,45.475783958983534,39.91588966182014,40.05446371302992,45.24871120252058,44.332096440723596,40.46594369969671,36.728249020739526,40.510249678466764,37.53138067122047,39.73177792737145,34.47691285569129,33.862957386655886,30.66337589901506,30.01649625222971,29.7155907008145,31.61420398821456,30.401098551781356,32.28120381865851,27.21217668951846,28.267855324101223,23.715523364351203,26.78462854276491,29.150521638672064,32.375399755514934,30.620651847353837,26.718945081974137,30.458095323055854,31.448245080996383,26.094511511909513,27.16313117398889,31.4515092036503,31.833937162694873,32.07861940849879,34.618778429952876,36.53632894803187],[32.753426362431426,30.60739714048018,29.232763857838886,23.995401344109883,23.29298642351872,23.232895023044154,20.38821239055519,22.819283280153574,20.133854605453948,16.244735094945554,17.44365135657454,21.599523153954898,17.852301088597688,14.026721388837085,17.18841931052532,18.871297448201283,15.032862146225893,16.433153383363997,15.413580596478852,19.276821177210998,20.59300541174378,24.80128786088973,24.261090306175106,23.42330905271848,21.61138542261555,17.45752516759403,17.96414129298429,15.268479008208836,17.779468359107682,20.463405689358797,21.584142147591116,24.513269139482343,27.705723596527445,29.03152412434838,26.914047082978602,23.427717261181733,25.198338885724063,22.846631378182163,22.699011645829735,28.993106833906758,24.43119937496693,23.724371869390836,28.149432093422885,27.976465464272213,28.719541121906968,28.15162461109602,32.24192214772973,32.07741331471973,28.888625326539454,33.64421935122193,36.3655495396769,33.47842254771113,37.04037402181478,32.28830790197295,37.965178353252256,38.21002153012264,33.57995018945091,33.72674838426686,37.7475994855631,36.131076319607125,31.561660176094378,32.6949446365913,31.274748882570126,31.184233701351836,29.086760044752843,26.494440879739965,22.00666959470174,20.810943419558477,16.613796188972966,16.366372510911102,14.01137168024187,16.012254133114475,19.057091879840165,21.19900445731274,22.586229192454145,28.457424965487736,27.760412827995683,31.702270074631915,30.929306917812035,31.86641048115038,32.214323179365756,32.45906132370244,32.18521255021621,32.962721408066805,29.372463623246933,27.508847428578612,27.119782019556347,29.562674862747787,26.361279273236264,30.461805529246423,26.97305352799469,29.204889045553497,26.972388355095315,26.92942813618635,23.14261921207226,24.01301690258826,20.78174197487542,24.976758721480948,24.842542661598774,29.639382197386613,27.99207333846117,30.501070493591,28.99234298619883,30.341844357382815,32.66100240719463,29.868800570701065,34.123308963520216,33.5400486345232,31.672567582743344,31.012482532558007,27.295526777863596,23.687837224333737,20.56928308437171,17.626766474298105,14.287347300024237,11.858229524328511,11.37909167480597,9.53072319259093,10.760849890460882,11.620944167734956,8.326225691601326,9.253922905433559,7.6161079784604615,10.783562726229173,14.39632041038652,16.94036419959932,22.027596637428765,22.734137261827808,26.294202040696412,28.420487236202817,29.563258209948895,33.568960525100564,31.760919879658754,32.010192643945054,27.438342909025998,23.27844120926451,24.13139138825753,19.40811400030477,15.658569460259901,15.525711030106802,14.050398187485579,16.156919775360073,14.057916076099506,14.517091631130144,18.00397207306232,17.77284979438913,16.254157064396946,18.327274692519207,21.15643026649932,20.969777749014764,25.486497130210502,25.753163207099465,30.79529823062141,32.15606876203724,29.945640672011926,28.99945164245854,25.186165065998292,27.015290207170573,24.056984796983663,25.689375841458187,22.922852141924842,21.95664888052036,19.415196574823927,23.198672966716916,24.172064743588344,21.832210385244306,26.303793266217742,27.824811782175395,27.504137512913555,23.347177641296682,24.509859758940276,21.3644070122156,24.389202244851152,25.681297940565912,26.371984033695373,28.86954289139293,26.232626874513038,31.71609192364479,29.785288739453822,32.06937614144291,29.554167974681135,29.319339610157936,32.642101521703374,34.252985076087455,30.664314368485815,31.568999531327236,29.052179778123104,32.916357327952326,29.974906697067823,32.48106618479847,33.376175497056316,31.14937863794498,32.16300266406636,31.843080818763404,33.975047979578115,36.18619156957353,32.89336568777721,35.87208458102355,35.52781695044665,34.18956047683705,38.655873544071284,37.37548622384127,33.456621498298674,35.91006866322147,39.24794882578344,35.60286399310988,33.36439311441036,38.17257222703591,40.091360180387646,35.147681200843635,36.90355650572689,40.378978141382014,37.67943789002319,35.519995038157234,39.87150077184626,38.663609149432794,44.04922779556367,42.752083233664216,42.48342574798289,45.97980345580316,49.75278604489672,54.29377609346044,54.29153013188302,53.460299764022935,51.72685193334042,52.60705420071346,48.772143240017066,52.15696981757094,52.26663411051682,46.0205034952414,47.47860883388334,51.095347528671105,47.54498819162724,44.15057363862947,45.33056680360161,46.708570396110154,43.43545899864311,39.553010051256884,39.19488269398142,39.472269776736724,43.137231406756186,43.947374412008394,45.00236957323666,48.298498637341076,44.359045970589165,41.58633285719369,45.24225812996221,44.5813471350168,39.70698273846535,40.699233578132635,43.307803273197536,41.321641073708996,39.534176316400725,44.59151859662761,45.106732073446345,41.46427251716893,43.573035636223736,47.38527887947907,46.10704150672818,47.87528069688907,45.6184804244883,49.249878382850845,49.16152378962558,43.45163574392935,45.515700104790795,47.94435169943149,45.43297283468656,42.33186213277807,47.74953023884608,48.04340019471147,42.45986999358023,42.84417288633494,48.02014822915146,46.92594845757137,43.03524392419728,39.14618991442377,42.89868712107237,39.70582194128585,41.78609676000888,36.45954449066753,35.98373060343256,32.54640803366161,31.883524908813808,31.900937130431416,33.960885048471035,32.9870209936054,34.90723436853641,29.854724137612592,31.091926167259853,26.39479346772572,29.09714713829245,31.39614951385561,34.42684887051666,32.529882667797565,28.67085063326041,32.19041370470073,32.90316324477326,27.580726380225215,28.52100714400839,32.614334593439956,32.74936710786404,33.04706398466967,35.558594208319974,37.47846900429061],[35.48133876654201,33.31304821614439,31.811111213924452,26.6811918016901,25.696502352391715,25.718349587755725,22.678889383527554,24.793083348210594,22.1523030868612,17.997042438456166,18.8529199098347,22.84691898578717,18.864061084585956,15.187330073117161,17.577838593433324,19.131323546176585,15.23097071534587,15.794469203325859,14.016291623398606,18.057797618437387,18.905881470174116,23.133571683785373,22.340395842444675,21.557682174669438,20.06823664852416,15.95412613028535,17.020438789781114,14.820707595338733,17.42177534428976,20.49333653772726,21.137060187117132,24.557038456250048,27.572590590546543,28.440157362009092,26.422917808085945,22.76537202241012,24.97910378948914,22.2212831261532,22.17098595483645,28.310500807819583,23.59735531441904,22.504440240056685,26.817022214019183,26.693586282219904,27.212134098974904,26.817023619563717,30.80602723952015,30.733004233839647,27.918722661626195,32.68112193013995,35.39709848884183,32.513029153637724,35.90725744886255,31.35486734134647,36.932890097371306,36.862461777712284,32.21551368664663,32.488227898249164,36.29144748346159,34.49141632457593,29.906464828887295,31.002359290066646,29.716546069481712,29.275014912618698,27.236122256850013,24.93421856065378,20.217508538485223,19.414512216273753,15.025247394445243,15.33321113298526,12.758546649058365,14.561556734131617,17.72615349401044,19.46326267892869,21.27520748031928,26.94098354947753,26.32695426683681,30.417854373369437,29.73869859342765,30.62223919285469,31.355372860351068,31.722513489368733,31.888038722743577,32.706536548576445,29.095310895625666,27.15255724760828,26.331038298441946,29.016585521142815,25.37860196326727,29.558010595009858,25.966029513285886,28.023737124515954,26.08808308407041,26.422534555958826,22.977471842128303,23.933503123747123,21.100939326932558,25.29042174518851,25.553905148536693,30.602740587470468,28.534479396648127,31.43526031952315,29.519688297797355,31.298201619787257,33.428315661185685,31.052181188816576,35.3693704893485,34.86560242925955,33.30836702992894,32.578778958707865,29.131956210603214,25.24157652970968,22.349537166786,19.22126580824904,15.669522493483722,13.223339081348085,11.81202637243585,9.809030218611747,9.516001882055155,11.036027856373323,8.313894048736868,10.262398416845317,9.56889694641504,12.884860479842292,16.627270395128072,18.920335994095392,24.12815692834443,24.521479430806913,27.993898209898394,29.7261134963175,31.05002237561081,34.87863258536585,32.81512828810599,32.9488070166691,28.49955519750454,24.531998556522293,25.727282310040312,20.877415483224084,17.1502889498658,16.46984563259737,14.435175544228946,15.7621969470676,13.586329629171003,14.681145197238969,17.764202761442977,17.82558713985373,16.803772394994198,19.146077161332006,22.26007606130222,22.43839813128426,27.04256547426787,27.39170218348172,32.28734887000776,33.82106193193949,31.32520872992511,30.199217842471775,26.312581787509583,28.20385281713262,24.884103565868298,26.730138741348632,23.779215913574884,22.21266879396656,19.831751999190978,23.187867080047983,24.308691653558906,22.213355007779764,26.782314441017945,28.25656204290266,28.352471179234097,24.269982867710443,25.469511475037862,22.253690667881944,24.92744370166493,26.155548309687738,26.692189674222604,29.295106710088234,26.549317313059763,31.88737507238217,29.814580559385075,32.29970555951171,29.760349367962743,30.04811652084579,33.17075419397624,34.62736572056858,30.98745893021403,31.398766857380203,28.59454572037905,32.366798036656675,29.299590843020177,32.15192092894604,33.25344010855641,31.206388398112473,32.578793048985254,32.556310600818954,34.866021888244774,37.28893735427328,34.268336023226176,37.352904600060654,37.283405589012624,35.96937799858362,40.54899554983216,39.30215938345729,35.45842768548975,38.03532901494632,41.39350913029253,37.84763656597775,35.7311162083299,40.52201544764977,42.4298575902854,37.64024051641423,39.43892521177075,42.910225782654116,40.24009841120121,38.1771762456337,42.51026109109929,41.25410050664142,46.61369112632436,45.22741670988653,44.9036690149383,48.405818951252904,52.0666644920855,56.68408733587753,56.50317175989457,55.626045191929116,53.775263788288655,54.531133600747644,50.63837055257243,53.89396998135391,54.14076616731726,47.89731237116798,49.169215316090884,52.76172458668029,49.307471248172945,45.84027048899746,46.826753351565415,48.329120677042546,45.21979558602826,41.09129218450115,41.00148269954529,41.04808828551998,44.7322452065342,45.726912232568836,46.66319055250799,50.036714596515665,46.00262542576492,43.35967385110836,47.18197480202571,46.44002333673393,41.60533760923003,42.788600611655966,45.42950623162642,43.492152938685834,41.824029363296454,46.85941729311511,47.4087761911139,43.87618548993361,46.0126671345311,49.78153822059882,48.47923502150412,50.1234668792948,47.75292961572439,51.34276546963365,51.412661810157914,45.72178716562095,47.60580995801028,50.11324827505536,47.69512860448581,44.46113752423726,49.7867628826032,50.221144736108876,44.672980052477854,44.8634045943157,50.03468923664186,49.07021195234476,45.20846106769457,41.42613113997033,45.134279494592874,42.038385335256486,44.228118461315745,38.96298290426589,38.45606106415016,35.12279858516178,34.453837362094646,34.346367444618664,36.27882110244761,35.18693922353599,37.09334608938391,32.03798516816001,33.04901285428204,28.453246870046314,31.3585323523861,33.458500340710266,36.555873069712625,34.526239531016046,30.880898725651864,34.56075997315151,35.19457570655268,29.81446069294785,31.04186545324254,35.11637324190163,35.11198041597501,35.3399057728303,37.78096758445824,39.63865907521016]],"stdvs":[[0.7707305732959642,0.7598413083686295,0.6627730590865266,0.6183789592680963,0.5976839144950521,0.42823247213081217,0.3965383612112415,0.47092242093603653,0.44452855418837006,0.452696553000623,0.5142520227684184,0.5151779406445787,0.5351795318052877,0.4846746036855813,0.5640369953681905,0.571140835364231,0.6113119944235228,0.5750643160277326,0.6828332490247513,0.6340576236253365,0.6694988549609417,0.7498351441772791,0.960184709833216,1.0498548414092614,0.8906634416316914,0.673443706382502,0.6229764469639504,0.5288473553921438,0.5657376789857401,0.5128978028865451,0.5545492029395762,0.5363427143331804,0.5616234577002787,0.5880220703892334,0.5963934562214313,0.5762551979839222,0.5473215467707729,0.5698322926232741,0.5419132688757531,0.5664236045068487,0.6478721626035312,0.6589976312132262,0.6580130300511532,0.7972510297335893,1.0702518791510944,1.3351231147585827,1.4804927881533982,0.8959324307956802,0.7945222018691647,0.9501426817337175,0.9163849229657272,0.7956213760336763,0.8091389675844722,0.7211882095374726,0.9516117331023789,0.7318505691491949,0.7748920070480836,0.8873101980700675,0.7579260098180347,1.3400273916780276,0.802224522530378,0.7243630675928742,0.6722529347086706,0.809022576508382,0.7575401741069211,0.646259260849541,0.7385751531332037,0.6125118895194946,0.6728585837656282,0.6294077781819792,0.800151097567969,1.0765005201951248,0.6587454649084644,0.7589633378826203,0.7021122251196433,0.8108953185938081,0.6280627868314136,0.5971933336463632,0.6271745182529024,0.6985407804583772,0.5575020363261016,0.5638367932651636,0.5929901418792055,0.5497704567594056,0.5464687459102701,0.4991792102394615,0.5253501088561161,0.6824707721696677,0.6139280539689005,0.636938591192797,0.5956971711636957,0.7023053195445469,0.695502403599123,0.5760866543528692,0.5636175146205836,0.6113972003696803,0.7353231465828542,0.5731168398643712,0.5504202598392453,0.5206848335882883,0.5098921103849857,0.5754892126742724,0.5245206741674314,0.5181824617021109,0.8994301401801252,0.5392832990100282,0.6615106542759794,0.5408402786438506,0.4099210787539212,0.4572832318506852,0.34087505572232746,0.35099797552247974,0.4082043494293629,0.41241463079654433,0.448167738204914,0.45465675732176586,0.5119523564435521,0.509171892051901,0.7197974440906642,0.5440166286542115,0.5081157898312171,0.5108741150808642,0.46445351002548857,0.4090943148348681,0.4029416977760757,0.46244591859564493,0.48927689261159485,0.40623336063609583,0.36480757422455395,0.41276996456019205,0.35305266926926265,0.3290555514750005,0.31103050703294965,0.3066737349277731,0.28550234578579287,0.33155502823562816,0.4798067770426293,0.2602793916236679,0.2830390881656768,0.41854961920914446,0.4800534282908478,0.7637721368059601,0.6022850991035151,0.49833405342682496,0.5792463017060372,0.4995046059107056,0.4800005185856078,0.4819467109691139,0.4353091549713719,0.4387068405013687,0.3895108175001714,0.4336377508890681,0.64722452484951,0.845566740233984,0.6931186135996499,0.48478409409585155,0.48828357744860634,0.4390919629734587,0.5130802013511606,0.4647116725003694,0.4462975572650533,0.47911400188313447,0.48179749244002634,0.4951857060365473,0.44145645159748315,0.3748897947014275,0.3226593922432826,0.37653927714696867,0.3605334532549005,0.29174146154353076,0.2485740193285631,0.3553766619195596,0.36702652643331135,0.4047525761624256,0.42264232497494986,0.45054012788518116,0.5167997470156886,0.48060499070269924,0.48998115376045576,0.4322798448702496,0.4438882628308261,0.42222494123102516,0.43189961712687447,0.45298141861659985,0.3846419639001175,0.5026910962123602,0.6964262883169583,0.6903995932340015,0.8625926466418098,0.6777993088553624,0.8137771766028246,0.5290518874379178,0.48332812277424575,0.5728046210894384,0.480852377662221,0.5714572892077157,0.5819823181436817,0.5825409791056586,0.5269636285650912,0.464347926302362,0.46073587450002357,0.4359929269280065,0.43234801888020363,0.4980877520581657,0.462325878413582,0.49199813100506296,0.5721463681641612,0.5794042641578212,0.49498459011265816,0.5875848037384387,0.6615773350134185,0.631263191549688,0.616052358222568,0.7075566306304966,0.7597588335284093,0.8036746245158717,0.7561223107610148,0.9342872827249332,0.7208958755378576,0.6843272379298341,0.7315965984914352,1.0712426265453854,0.9590965174847017,0.7598042136619227,1.1530694413535223,0.7026072707219594,0.6139529177142564,0.7791799037891535,0.7251944637712475,0.7230701227802573,0.6274584840024374,0.7879432352204139,0.7360439912105349,0.6580183878450944,1.3657334782827983,1.045287140559466,0.8713186690265641,1.0612692660528615,0.5921231690725539,0.7542677487852938,0.608948018588526,0.5763601002539699,0.7671885532642997,0.7522532457608033,0.8893607475446516,0.7393304596144016,0.757536700940805,0.7427812062558073,0.6440962123256502,0.5072995482262522,0.5328526308934136,0.5864287809550126,0.4986007446000995,0.5104988912370111,0.513148165912046,0.81285198170966,0.5511645642244151,0.5220196630122056,0.5416280338922098,0.5206827195136216,0.5108496939258085,0.6482256011510108,0.5585672291990692,0.5594777961401796,0.5641811955444647,0.6464081862962113,0.7073861128212471,0.6744992617101235,0.7397298540110152,0.9120007345077661,0.8920325848812545,0.8077749035514038,1.2445855541939737,1.3943681675695583,1.214895931052534,1.0941462489078306,1.6039793692910567,1.7716553475542056,1.2039336439991823,1.0258585778912035,0.8604192454504924,0.7424881643982646,1.0262966558954616,0.9536111944012942,1.0392846558597557,0.9436521999846798,0.6985673588263553,0.5948053968476279,0.44345744089381556,0.40513370953772876,0.4824706729635057,0.3819868027984934,0.3858613033112363,0.626294083318459,0.48559204097064695,0.4338825022169873,0.5667649533572919,0.9000853619187899,0.47602754408375203,0.6268413362973881,0.8361959567670676,1.976014706988975,2.6563411393727,3.002990693073302],[0.7655764661664014,0.742818125706581,0.6471155657513524,0.6089220415166184,0.5939416781493183,0.51493974116393,0.5004926298423964,0.5392828506052969,0.5464146655835579,0.5168406160077403,0.5441378668473037,0.5829484723393499,0.5849586330997579,0.4981820085433134,0.580159956178032,0.5721717070976887,0.5498519149729286,0.5157841095193224,0.6186320114484041,0.5903650204814103,0.65875567424217,0.7662380911533168,0.8485730011453702,1.0111107344246602,0.8602281867679712,0.6652985688352296,0.5632674193580557,0.47843771805636576,0.5312797933906682,0.5299930335618735,0.5431319355957607,0.5693218441823241,0.5789494198256584,0.5818687375939654,0.580802468857009,0.5585384302413237,0.5540459454253016,0.5583122385629444,0.5263067197207473,0.5547888529300391,0.6175322736124914,0.6323957989777725,0.6359984084997692,0.7633452027862389,1.0342733173191512,1.3259195748392454,1.45398628663571,0.8585808823023876,0.7766245323992877,0.9324906277146018,0.9135555180860013,0.7668259866162942,0.7535737439228621,0.6980710434868727,0.9302123241563492,0.704316388425178,0.740235488313109,0.8522160334228156,0.7666888573259527,1.2994857830553543,0.7856369059365538,0.713657115447904,0.6487599490092885,0.7804932651695433,0.7275494063265248,0.6363006852188041,0.7596223104810637,0.5539121090095412,0.612834244475929,0.6001262175502954,0.7548381566015818,0.9826405163450656,0.6288726520308675,0.7074126655963535,0.6873379135560178,0.8558778594444563,0.5858704891468962,0.5778506137050228,0.6144641756574076,0.6599730361435951,0.5579070651159199,0.5716003504678268,0.7197846630360796,0.6207588253881404,0.5762053542442408,0.5136134541005284,0.5274308957030248,0.6481106379444521,0.5719886145690566,0.5711060217754229,0.5586939703337634,0.6711282219644314,0.6374328356308604,0.5586516146308044,0.55837393783938,0.6152935259645607,0.7327190129377864,0.6203822042579906,0.601977558860434,0.6093591916906791,0.5655596171690848,0.6644755661774479,0.5714285237887374,0.608227246259522,0.9830151515137946,0.6508693042516446,0.6484589504075506,0.5547449368426449,0.46732724844409923,0.5555793924248226,0.4388030478902098,0.4708138238614384,0.5053736464386299,0.4852508593081896,0.48211763365583077,0.45228172851659115,0.4943141086230212,0.4596204811709508,0.663590752477618,0.47551976622827913,0.47784010892031104,0.46012894709132335,0.42862779028111386,0.4127298691617096,0.4664685340548719,0.544608019964078,0.6052004571978133,0.49294409145644563,0.44078086033680297,0.5035190231563443,0.3942354206769631,0.4012974261965022,0.4282993579939658,0.44074295388069185,0.4253343403222504,0.4485868065189548,0.5012799528055258,0.38475679730119544,0.26011000419184793,0.4382799320504033,0.4229303326409536,0.6158503492789708,0.47983482259504606,0.4499464243638315,0.5534080111226122,0.49452940385366245,0.5088686256469269,0.5395186614589169,0.515637003320935,0.5438383674058583,0.5373090970731993,0.525017018951757,0.7217202076801399,0.9772039613059171,0.7726804069438296,0.5601015410188066,0.5735869135685763,0.542483897396,0.5843020482781137,0.5546399071387542,0.5295857594312493,0.5242879698165146,0.5075666967391788,0.5103386468369729,0.4905817178020472,0.49450892773833394,0.49392308261927115,0.5097769373472596,0.48874356897599275,0.47499483179010743,0.4574961358276526,0.48822228577023014,0.46801624652695445,0.4782222941968841,0.49251412765005653,0.5480146276255494,0.5580769471041761,0.5609322713481598,0.5313326478535312,0.4919540606723841,0.5189993874972638,0.5331860758452881,0.5370103800000172,0.5605024515308701,0.5124073441707278,0.5498122619950336,0.7108565421649072,0.7334031485236807,0.8543835860122784,0.7367983731948978,0.8714416659770565,0.6036895269061021,0.5725680958398297,0.6379455875314749,0.5393461224907379,0.6210673458408787,0.5623390420813318,0.5405794340963269,0.46053275702175883,0.48615303769210516,0.4383900877190598,0.4397262612698,0.4328466979732248,0.46276440472165353,0.44702330162065324,0.49720692226831903,0.5544628481526436,0.5660427527798527,0.5069513077543424,0.5969539654779754,0.6573978326241545,0.6340104123959094,0.6296344599970035,0.7083179739260627,0.7596040143550441,0.7944859033896745,0.7557535219668441,0.8852495136955434,0.6795386828034474,0.6398055645230932,0.6739776242711417,1.015181776554769,0.8988180475301264,0.747904555469223,1.083273313129402,0.6223233629887267,0.5903470550973864,0.7148691062431112,0.7161453167435732,0.6555000692694841,0.5756426252016641,0.7260974212905911,0.6543869822071259,0.5786972491311821,1.2210801630185235,0.9496398008035593,0.7906829050719738,1.0688945946108177,0.5185506463343393,0.684819509562746,0.5506308131660145,0.5424742047483108,0.7346745868200818,0.7106306125191525,0.8652111012292478,0.714321559563629,0.7468983259732971,0.7243713506697186,0.646813970324205,0.5137841545375109,0.5358981373483124,0.5880252153528822,0.5101339888899393,0.5180819483978586,0.52347506961025,0.8045169692149139,0.5799773415246935,0.5526780463039346,0.554522152190422,0.5422267897221255,0.5234637143824343,0.6336553655330709,0.5410357834172498,0.5417795599487804,0.5427596815014293,0.5896232583571099,0.6522937406466665,0.6142503201291367,0.6738423273911035,0.8385675374280066,0.8065801103333808,0.7041340564259411,1.1250597009131673,1.2995345499735391,1.1296020258940866,1.0301940569892465,1.5253550094062416,1.7453153067711298,1.1492853266363203,1.0020699178804207,0.8299818376106973,0.7428683366084443,1.0234230366836323,0.9252041359806827,0.9849933029196438,0.8615852549514618,0.6147996255845039,0.5338990027521807,0.4054836050328707,0.40681976313455304,0.48279558414495505,0.4382004457371735,0.43059478362697406,0.6068509284882212,0.5285839466804338,0.478518198040243,0.5856889709305261,0.9150210810328655,0.508594167280225,0.6800814688733806,0.8547379900994116,1.8387701067320363,2.4331638883972544,2.7293941768173977],[0.8052690499798862,0.8125975474411606,0.7348406651873248,0.6299188014417667,0.591988197342558,0.42974352352411205,0.32674182695698356,0.35338974581108246,0.374899654227293,0.38386828424929337,0.42505047635079923,0.4449516244130324,0.38950813727006667,0.4107188774324211,0.43431760561927485,0.39388881379539725,0.46892825307760183,0.4752360420525056,0.6601852937348138,0.5391354474672234,0.6985655450064923,0.7768401540497045,0.8524317750465323,1.0565818124751731,0.8901413509924049,0.7386556632263892,0.5421564157346507,0.43587938835442475,0.4126577222441033,0.33530881793628153,0.3947849185087521,0.3537115450132687,0.3587286157321409,0.3869120580617231,0.38257595356802154,0.4108210560665992,0.36773336738838674,0.4680985676643806,0.41849558430710926,0.45522264478009267,0.5727741562797544,0.6107736105131768,0.60178428306213,0.7585743818430319,1.084207258327063,1.3878115057638825,1.5502842646550166,0.8989058198399307,0.7759119847514041,0.9289592941240253,0.8596577816901492,0.7310611434533707,0.6885167122487463,0.5827331295130318,0.8594177722818894,0.5877325108803144,0.664100883811228,0.7420777286812104,0.6592305493589875,1.221874898781582,0.7457391731435996,0.6656286758213142,0.5986798306796456,0.7747837477284812,0.7104870732335062,0.6088565646186787,0.8460985512106326,0.5215176461318888,0.6954322970503701,0.6354322286293838,0.8107172961657071,1.0149516906557334,0.6985024963190608,0.8246715998836112,0.631181893521153,0.8878018982883458,0.5100388161993634,0.48354544386711856,0.5191444661024007,0.553548668548174,0.4318162111724694,0.4618868903589203,0.5545062027394382,0.41504109451542426,0.4580639653040296,0.35268725660659805,0.4072496156944641,0.5628221838471489,0.4410754193060039,0.4443572305943751,0.44542140281194953,0.6479447044893326,0.5614751322522622,0.4259048942930229,0.41245716071789534,0.47254182553618906,0.599457531106143,0.4179549933513374,0.365897864967058,0.39129795302911835,0.3169787000758852,0.48937887449661727,0.3141980039768929,0.43574109760956087,0.8232022600536801,0.5743349874962808,0.616770863050994,0.6251824350800765,0.6796364552350878,0.6821467102927208,0.6457078120491335,0.3809518963290881,0.28068323125226835,0.24679934156160332,0.3534138033399472,0.37254900002515146,0.45386123849411153,0.5947606832334202,0.7686284913812017,0.48515336054128877,0.5520190761454541,0.4557582835833561,0.49321375957360847,0.4164118123525556,0.3500206281192903,0.25100652787370026,0.43860769143331396,0.4550579850771746,0.5943193418428844,0.602384683008416,0.6554717706349557,0.6702932096182586,0.6230370339537601,0.5800248552626095,0.5515183564262958,0.48377983641106764,0.732469417752135,0.4487405185984307,0.30641936856194546,0.3590186906950808,0.647274398115276,0.6999063997517269,0.571156245707702,0.4506801627258626,0.455366285957403,0.3489016960743073,0.34428298420910614,0.2835433514146685,0.2609921117221225,0.2756031495899017,0.3664109055909252,0.3036018671394068,0.5663825944408283,0.9157931738734995,0.6564708930132602,0.30749251646543213,0.3003526878446289,0.3143598608338033,0.2969760681382266,0.3299695591361206,0.31830404231635906,0.33333622960310494,0.34103741500570467,0.37685275596946227,0.4037997908249252,0.4290267812652115,0.47988140988993033,0.5805314764517152,0.6600015631435829,0.5648978312915364,0.5275426072481708,0.39050872113236207,0.39096297466544644,0.3746532896915551,0.3371004614765078,0.3645678577160228,0.3641276203788921,0.39076121885866527,0.3690797699789534,0.39259779046645693,0.45325617506710864,0.4479619878326778,0.5358738485936263,0.5944135195093645,0.4879236809333307,0.493879890886857,0.6428218384764823,0.6808301287386386,0.8692645478700985,0.7076799782890075,0.8436307078193916,0.5777100044136847,0.6290429727028904,0.7261841780026884,0.7140759085608646,0.8798655492884562,0.8088844132958076,0.7925796614238849,0.7650517145599343,0.8191989845121695,0.7626924568362304,0.754668202518226,0.7384588107779473,0.7670656382640281,0.7674567139318971,0.7501183096216393,0.7315886785641678,0.7668527804232814,0.729524877401545,0.7363266440117143,0.7553989283951411,0.7538478227682845,0.7533612258137994,0.7604893336405322,0.8265236583350433,0.8775582865615367,0.8500878584076241,0.9332963331847582,0.7998830566179594,0.7751667073464414,0.8132456431495035,1.0750991228428792,0.9545078568488957,1.1199080994606676,1.3051608550622926,0.9019568761837502,0.9029735282569115,0.9038156183721716,0.9790562101395213,0.871488155226593,0.8758407448627393,0.9034342636081913,0.8694604118031759,0.8291444961456796,1.196936292013552,1.105359103205959,1.013635416472196,1.2452936606204925,0.7985203503461602,0.930633341296196,0.8238186963982314,0.8324054113403565,0.9631491991005701,0.9246859832141647,0.9708676655534102,0.8980165935438974,0.9130660853214858,0.9209901933531518,0.8848432966905275,0.7849654649334918,0.7943218630793006,0.8261091870544364,0.7446450661336833,0.742052495193284,0.7318106042815695,0.9288471633907408,0.7593551896514817,0.7564306552510311,0.746286672225513,0.7625482848232105,0.7607250393462743,0.8458853271716134,0.7556527355889288,0.7633806480254676,0.8006770738037379,0.816103535897493,0.8260867803995338,0.8119350570895149,0.8561838094944053,0.9727994129917659,0.9152559333049973,0.9037650378450119,1.0944046101541858,1.2731449886215604,1.1215642846322462,1.0363318428215873,1.463359923947015,1.6104158328561788,1.1100785097776464,1.019189847472644,0.902990360291091,0.8302302968766858,1.0518211780261284,0.9387380821021465,0.9762730150936463,0.8730897428028056,0.7983383350595958,0.8091730363787593,0.7293176695557433,0.6951003624772579,0.7404999383927205,0.7110213378277747,0.6722314103831322,0.8493017904084851,0.8285358963391143,0.6022405145481617,0.8269436880520996,1.1363227843481638,0.6097235527357934,0.8143360117940378,0.9434999820319773,1.8364791042686623,2.2456059377389317,2.58378824838121],[0.6574435248142287,0.6499516195888675,0.5383555081050363,0.5515084470949465,0.4773320203080546,0.3634544014165375,0.2831634062856862,0.3425028680279648,0.3179288435683623,0.2768849330318733,0.2981524608584987,0.40954648076769173,0.3326490180081537,0.26584690000981803,0.3636369945405316,0.36758602646525673,0.35352467478699834,0.31070489313103,0.4498462697888084,0.3853509797131537,0.44751209660387065,0.5957590550021612,0.643016473047789,0.7955133163596385,0.7488406689790914,0.4976693765108988,0.39882601257694106,0.32566212214275364,0.33071583002543614,0.3029977806759102,0.32701383720496885,0.33948233757051893,0.3708888977258368,0.3507813794343316,0.34236863574314014,0.34957143710711047,0.3606538793901026,0.31955921214373484,0.30079714215744185,0.3526383376961425,0.48154184023280694,0.49491602546565316,0.4708479924169992,0.6533988928223626,0.9311908167427936,1.2927988578721719,1.3284377380041226,0.7646401100229313,0.6419039562082066,0.7658946915567841,0.7322884056580736,0.6198108526079227,0.5720980271270503,0.5175578208657517,0.8730963215510166,0.4838620196077775,0.5637332533504499,0.6577545649988541,0.6374306621953977,1.114219109925671,0.6430912357931292,0.5087693833070782,0.42169456127906907,0.50765255825207,0.5386428100064279,0.44330198401861726,0.5664839388035039,0.3369053625053551,0.4636859857083203,0.44734595223598006,0.5666265306251312,0.7682139451369057,0.5183459756373847,0.5821012227912479,0.48342542776630365,0.8902939204096935,0.4069033547312715,0.3885446159932525,0.4020537878888282,0.4561422041702672,0.38961369810329344,0.38083982366858565,0.5205401287675789,0.35107994419878696,0.3541779911120223,0.2868775728852998,0.3417180278720397,0.5559477968844312,0.36449996804937657,0.4456488853246557,0.36562387276951375,0.5890591075714151,0.49657005514913805,0.35967889361943867,0.35230972706996727,0.39926762742809807,0.5087539683578042,0.3745956822951713,0.32219999707521896,0.4016401125713688,0.3084739788913034,0.5037739702186997,0.28057087201152575,0.36267358747253475,0.7457199864811516,0.4486888943122702,0.441921550590282,0.4227336499722538,0.33007950278700937,0.46374626381367745,0.32248021268660454,0.23646532919878652,0.23998925812381242,0.23980143231532589,0.2938613470893609,0.34290459635674975,0.3921660649734277,0.3235920109980752,0.5127577969789975,0.3355915903623291,0.32869672574703307,0.3535479500109484,0.3441195530160154,0.28782759121101537,0.2643744943485283,0.21113208859564805,0.3940572488491212,0.27093989903736126,0.2506652781482213,0.3385073977666816,0.2650140498693593,0.29016559989329876,0.2688210397081797,0.2927586563241902,0.25324822060317254,0.2610146815259105,0.37334984353194883,0.25373296359450537,0.2363517057852989,0.2445154254311731,0.29791507437179066,0.41500925852642845,0.28611000475121645,0.24983093553176908,0.3358548526142809,0.2927945686969376,0.31436785052999133,0.2865296702106414,0.2251694417068405,0.25681777195251604,0.29308532799527864,0.30599113705138825,0.5449198442429044,0.918295747879145,0.626869481215107,0.3279108153418854,0.2861252920626186,0.274414099642583,0.28960982772182375,0.2545378283413283,0.2630077583563997,0.31116233178129704,0.29367209326823646,0.29191163163023087,0.3069016470821922,0.47363248846737044,0.2750674156376208,0.35922884513438097,0.40998592310457205,0.36354257781212534,0.2642940302103574,0.24706427063468667,0.2908331665464748,0.30286364772587826,0.2780956156041632,0.2959504004979842,0.335964452147664,0.38467446914666537,0.2973389225267117,0.32468810735099035,0.33825429340778224,0.29824756929536916,0.33466304708968325,0.40383290299574087,0.3363444029009385,0.37517905376606187,0.5125890286708625,0.5123134868907463,0.7722590867551412,0.5291515962999513,0.6284788476951512,0.46025412914968117,0.4464649338405422,0.4974290369355364,0.42990486920740695,0.43172137932155086,0.41513766668899177,0.3843216385681891,0.3454147847905226,0.425003034146291,0.29573568411008977,0.2917998261639819,0.2733304587117767,0.3071113177397086,0.28591854154433316,0.3568818207079131,0.4087825746306976,0.41640929202962085,0.36148731662488715,0.47536113731601637,0.5312960799508047,0.5041169911929624,0.5507060807338479,0.6069946838991473,0.6285621652534596,0.668447888536729,0.6947949432471032,0.7113506180778912,0.5389481314952497,0.5023063457592315,0.5329387199649527,1.0205882434509157,0.7144977986064999,0.7681138314177884,1.071756429907298,0.5913500710412951,0.6239510990025801,0.6970190829657648,0.5546242208140626,0.46319885011783746,0.476510683320692,0.5719633610023122,0.5298535536421788,0.4168582114659958,0.9785504244981782,0.7219674369206831,0.598060509103935,1.0051490732816333,0.39819281352628544,0.5674606164104036,0.49330287196660444,0.4755367543282569,0.6472896122638309,0.6354124172075608,0.7662297972255304,0.5753688809717501,0.5777504907299759,0.6358599225056706,0.562423916688572,0.3979514328604894,0.4423166741909458,0.5240671201032387,0.41262507474525556,0.39387636702684387,0.45720869953570487,0.7901244664050044,0.4777126799963652,0.4388117177087735,0.4296702355996992,0.39850587886483574,0.3881424085089353,0.5071179571733471,0.3950456727247655,0.4058327980339123,0.3865884711359435,0.4261874808618761,0.5067641744865307,0.45436461729431993,0.4957148745274228,0.6515758386638436,0.6408063156795868,0.5394665569853127,0.8853318602665697,1.0156334937208844,0.9367921010723108,0.8540077842582905,1.2398070623984483,1.5258776537068228,0.9533230495094938,0.8512888117770984,0.704464275497531,0.6293335045436391,0.9394360715750366,0.8122468127021933,0.8293529326602436,0.7844032988210723,0.4375631258249173,0.3342610617915137,0.2543660018520084,0.1567092950502151,0.2738452828488403,0.3096576721011732,0.2993485396482357,0.6320303355222375,0.5441095855425568,0.3922059149907564,0.6254645649059448,0.960954477575497,0.43714908282473075,0.6642368002900542,0.8514251011049355,1.8229088944271776,2.3547182950273795,2.6694438862113357],[0.7072227901019547,0.6889502749336163,0.5499982645360258,0.5525607868253807,0.38334729503703413,0.5148425192908234,0.38962938372527545,0.38161975464768794,0.4412185704087151,0.36036846343714035,0.36319235327580346,0.4776096109602353,0.3550733505075838,0.3223396982955466,0.3812363466972378,0.34949414543123913,0.3567505219308648,0.3293390033687094,0.494558581012054,0.4591214906450486,0.5258814604928472,0.6472231651828687,0.7078298361310396,0.8898959800662551,0.7824707900206916,0.597157353887137,0.5033851619329022,0.3726309633354606,0.32734281639813984,0.3411948256532952,0.31950059314167745,0.38609243748312216,0.37811633289758484,0.38528360926187005,0.36672439006820523,0.38278583573908875,0.37272491282978815,0.3660761252956832,0.3652221757149362,0.4307207105784547,0.5507286123861714,0.5592129010035879,0.5426123593644787,0.7483146295596488,1.0442570684333863,1.3561845807348614,1.4414355073584,0.9030346471234149,0.7627936290770554,0.9095743314770337,0.8373495222257105,0.7254088142351329,0.6348746416070689,0.5702374583795734,0.8984820425282782,0.5455951003934214,0.6083722509106374,0.6784944958706718,0.6824079652654759,1.1620211801183007,0.6888717904653705,0.5528827287766012,0.47039076591829887,0.5935391370857525,0.5841213207100706,0.49973688799113924,0.6521704686479541,0.3929701799122166,0.46946762992451047,0.43811311234654565,0.5816809330260471,0.7733641420467177,0.5333148589928571,0.6569531844509978,0.4990161806807387,0.9815480695751105,0.40461438786914994,0.3873196021581749,0.4195469834018998,0.48589120180608586,0.42945121232469385,0.44611258296427064,0.5560378908146473,0.3470063481525534,0.43947784595452677,0.33462162846539245,0.40319306274744493,0.5903010208553279,0.3920990329359512,0.47043176537954107,0.38755079409591825,0.6243412474264143,0.46594671866498377,0.37528330955446426,0.37073321108504237,0.4276203054920924,0.5167551736661804,0.42779383040516683,0.39020184319818374,0.48130936992357626,0.36704367527956705,0.5674309532964457,0.339653567176798,0.4047134021806122,0.7093028789910786,0.47859854863097095,0.48558639378790447,0.4789384900957385,0.4389671077339191,0.5693562365232423,0.45915493306581884,0.32931152299138505,0.29876743782961157,0.30868880396424164,0.3380334889204363,0.3395378345351703,0.40249410330824437,0.4031331831866494,0.5603950867210957,0.34200794259239337,0.36171878536178664,0.37212858545060473,0.3799187504251609,0.3258253567159314,0.3335247365160263,0.33138019307302946,0.41901124457111244,0.32042152323739126,0.33988757522676016,0.4172983526555223,0.3864727925842557,0.4124350415207015,0.40998242517495437,0.41748360918736094,0.39136539334986165,0.38141172377926613,0.5681349696467776,0.4205397626062836,0.2868209284960819,0.29976201041612804,0.448428173482716,0.4465585857126765,0.4055432072749202,0.3161294591744506,0.39483437804631405,0.3361177071174824,0.33528046678850976,0.3386952445115438,0.2950656503837623,0.3113103039898689,0.400196246333883,0.4024642391264956,0.5843953682872881,1.1360032388652848,0.8114724552658705,0.4043611810201962,0.3553207378843544,0.35591978911712946,0.3371576231750135,0.3180760901158528,0.3192007950475582,0.3346583775889147,0.3654327813272769,0.37613941386481736,0.4251813155919079,0.4913642469324001,0.43275243751167614,0.539559548726972,0.6080832864510225,0.536149535306361,0.45857664629431005,0.39393158212641227,0.4072702888779474,0.38757283847058027,0.3315607295423622,0.35144869353076097,0.3978876327766531,0.4552995033952372,0.3579082758035085,0.3792105988348871,0.416642211957181,0.381663531976997,0.42737656820752135,0.5117558018399937,0.4433859468278773,0.48594438350870484,0.6042901031670427,0.6162699755707032,0.8851387551506446,0.6662706431988112,0.7526690173671255,0.5299785638195619,0.5408551181962411,0.6000817558064322,0.5509052843417799,0.5807711981954287,0.541881426891599,0.45327092178998524,0.4389039161738534,0.5077659472304331,0.3894158294664265,0.40074437129496526,0.392891980437763,0.42613556326204616,0.44284687185920524,0.4904312659375725,0.5020959713019703,0.5503719221142588,0.5164839820062429,0.6124131455846551,0.6905862280388676,0.681710261649967,0.7130106484261003,0.7724408392322517,0.8265459637797352,0.8358789899330287,0.8873567176608579,0.8012836543246051,0.6828580313919625,0.654407842005187,0.6470812903269769,0.9981929237285163,0.7091569447750847,0.9323959510959112,1.1366746226013202,0.6320701964012901,0.6608068505609205,0.6958304771538176,0.6230497035569708,0.46353815787971714,0.592007681965679,0.6746755613945306,0.7064309313644316,0.5403428840826966,0.8609081814219695,0.7765176073427976,0.68123865633287,0.9760203029854003,0.49101839293146243,0.6220631432166138,0.5264907392405558,0.526545747675963,0.654786482846526,0.7279453501300496,0.7723721809216629,0.601621781434876,0.5647769462055183,0.6611088558394032,0.6281859078224366,0.4792919025348954,0.5349318192919614,0.6311944775038857,0.5430960836503962,0.5394193600264625,0.633885539093076,0.8797900904524242,0.6570787270004445,0.6363654544875872,0.6156630630903817,0.5453651800376412,0.49085760449393673,0.6195924926115703,0.5472348855879697,0.5518422324843975,0.5268557390555323,0.5586612715616888,0.6282655926646785,0.5450341143501856,0.5426498828860273,0.7320305571399315,0.6691607010145162,0.5854868526923364,0.7948737218614654,0.9494749361603755,0.8779425626292343,0.8221861918543588,1.1668809202166937,1.4201223140764214,0.9910594882232522,0.9216631862111601,0.7695121834201241,0.7357225855246873,0.9969390301105001,0.7894416148682407,0.797283190684404,0.7359270750115633,0.4570264085163637,0.402039959294263,0.3775894760876877,0.33881298465385945,0.3487534648743103,0.4688944916449999,0.4755298299633602,0.7213897892575075,0.6870419584069283,0.4864497862394547,0.7302766969044223,1.0590611738015694,0.5284207990621183,0.8696859107273661,0.8824540632427584,1.648778595263901,1.9631748606932795,2.159661390858952],[0.5714804343885147,0.5593394764778095,0.48937231327297265,0.4643031890543087,0.39338025272028376,0.4165083007057058,0.3283222658496268,0.33812896810034776,0.36305269914325344,0.2780954900487067,0.2887614994660695,0.390632257185275,0.3061276477490549,0.299397172121375,0.4296253432186811,0.40126796710443896,0.4056372365632134,0.4127581002275013,0.5625212102016333,0.49510850328318634,0.4882994661935458,0.5966197787615457,0.6774562807853103,0.8078341273029392,0.6775970056377438,0.5632229454062192,0.5287090689099431,0.4124964291498023,0.44132065280667077,0.4111592086457843,0.4046808343704107,0.4325447258951949,0.4335415224801708,0.4288272607895323,0.433687147728641,0.4544650384415112,0.49186375485566297,0.4998279473365072,0.4927616547186142,0.5612101428120752,0.6249178547739727,0.6178401225384985,0.6087447095715066,0.8132394898787559,1.064453080505354,1.3815225940114606,1.4664018103727272,0.9774794593591188,0.8073834034049977,0.9463592569074036,0.8951708756986246,0.8193005803892273,0.732370972939623,0.6682998335989768,0.9553968825035793,0.621318174667674,0.6650114932448706,0.7153963379607804,0.7023555443582785,1.1613831042292861,0.7106181000683315,0.5900280997401661,0.5055149300188274,0.5965053948612081,0.5868358524092984,0.5087929708148061,0.6017416642366239,0.4480887441470954,0.5113077573216609,0.5026356823227297,0.6169480073850069,0.7998897668293442,0.5768850984309504,0.7001454929283373,0.5048222799913066,1.0711819117573322,0.5084492344860755,0.48230815036481606,0.48432359140723463,0.5181144763338427,0.5046416304577243,0.5837952575995462,0.6133997457664697,0.45191511825825587,0.5758630761531796,0.47991062253574035,0.4901223193824865,0.6749045427853554,0.47699234075516345,0.5074150332679315,0.436581279929862,0.7106731235186338,0.5692173936613424,0.43078105405579076,0.3961325059740431,0.4447080309123927,0.5129867433280867,0.4023785706874209,0.35220838680093186,0.4053456255841519,0.4115724943858571,0.542668889595577,0.40856279469128964,0.38753868723828866,0.6903368513574133,0.548759279500103,0.5651814151255986,0.5379943159782163,0.4912744488620109,0.6753555564503702,0.47011260567494106,0.3998251330098845,0.31050761110062236,0.3378223253424549,0.32367686795052203,0.38138996416516724,0.4531694748615387,0.4278493200721997,0.588820307383077,0.39210992663358507,0.37303050049720665,0.31706205626668055,0.327478476348991,0.28262085786231234,0.20268621982165178,0.2542535933093906,0.2289059698901103,0.3281327265904176,0.39797025484845494,0.5204284947004012,0.41783362996672213,0.46352410617751966,0.4491614404637937,0.47916318349010933,0.44970802098261453,0.4509323914797275,0.49720994725119544,0.43838551713714435,0.3558627103268236,0.3582490713421185,0.45140187951273797,0.47126149586006166,0.4887985287266952,0.41497626623289396,0.4734042270001846,0.43924021163544147,0.42814004736015876,0.41386394824216416,0.3379583018881764,0.2970404733437369,0.37318237501346524,0.33558117060989234,0.5388556493975907,0.9674810976134823,0.7564388793110494,0.36825906042456397,0.3321724102366248,0.3358785289688177,0.36206679556030524,0.3893125807486478,0.46759368378501287,0.4677217842796279,0.4663390068163289,0.4789378553685136,0.511627896806836,0.5296924448597815,0.4582333155805781,0.4973524139758063,0.5058280786617888,0.4766538396262966,0.46266784341996403,0.4704601492640275,0.48967296766519974,0.48133577547315015,0.4495565743289828,0.47281855552770796,0.5012056106193591,0.5386626929077831,0.4851111278569253,0.46614750250694514,0.5032800949333197,0.4696125540371155,0.5126257011311686,0.517100835263416,0.49721292874438616,0.5703203682548036,0.6943205728467392,0.6557856408320939,0.9029730912689414,0.6906643739386337,0.7691255644957928,0.6320207050542492,0.5663275324715952,0.5805268497817764,0.5287357613752086,0.547435847192467,0.5279402335265988,0.47671326499685907,0.42567808195581186,0.5187499913337484,0.38073191637008524,0.4119305240455199,0.3654864700623741,0.35522366837810915,0.37542613613414444,0.44248514537166805,0.4804906366955852,0.47732751511279886,0.45717046158152674,0.5499312043831861,0.6184551562167852,0.5974706259131414,0.6680322270499496,0.698166664203245,0.7531080846876451,0.7934310518315228,0.8125015666050561,0.7887524724992299,0.62138301546843,0.5804972807936719,0.5844186530504937,1.0574416357898453,0.707126075882096,0.892598706598195,1.1439061499574497,0.7300371079212893,0.7699213977076879,0.8459557920210224,0.5672333888044707,0.49060057403488294,0.5844575010511163,0.5932015656398616,0.5884061282609903,0.4628443211845147,0.9669259765458301,0.7371851990031091,0.6673991212547663,1.0229650108325234,0.44580844251622714,0.67683701248963,0.6562049323693943,0.603305633178217,0.7884581191122253,0.7891612144709432,0.9392617822258371,0.6868206144855156,0.6048503748596871,0.7906788032718576,0.7063981317671654,0.5520095388852656,0.6074053424524768,0.6857816462649303,0.5447566107525426,0.5164399310206191,0.6193124329018107,0.8864221256254786,0.6152047131660849,0.5742398265179274,0.5259841909006566,0.5005947987101478,0.5018471632103255,0.5798176254902266,0.46927729740597607,0.481424319953247,0.43550810092225106,0.4708621660774227,0.5528608936924747,0.4791096819257437,0.48779403812833716,0.6553183438507971,0.6447628597217947,0.5526942566481458,0.8015616048091279,0.9890635740252567,0.9247263799353942,0.87496619996736,1.230359577608016,1.493539410875986,1.0233758954343908,0.957754664556026,0.7814195378346925,0.7361969029744797,1.043397875532574,0.8602147495581598,0.8788650773857556,0.7939628387344689,0.4836410667671156,0.4085868837445329,0.3457925978987748,0.3394093724566331,0.33709425772031765,0.5021511264724928,0.6001105591110795,0.9505356776140742,0.737080238596773,0.5312239353573046,1.0000417292535337,1.2496947407804595,0.5363533001668178,0.9414704779379242,1.2089356598742198,2.451958376863409,3.039052937526634,3.1080641838274583],[0.44398084985332376,0.4712714305131657,0.4081938811479528,0.3460492646989647,0.3121686147686019,0.3244471096894382,0.30108748306260474,0.31281653795077424,0.354284069243949,0.2564979761191872,0.2733643031438874,0.3984260517566296,0.2526098636982595,0.2525206420889028,0.35489192943886877,0.3204487860076991,0.3174566673004391,0.31061626004022763,0.41606656680446336,0.3290200379338771,0.35257778149859414,0.43463756383079377,0.5410504530649406,0.7258095300377061,0.5439577665834766,0.4330948778280393,0.34853283221074305,0.24788421722693468,0.3029986662471001,0.28591969638455594,0.32092883409535244,0.34236668370904605,0.34243016677970384,0.34334270243384923,0.29840113781502414,0.30926865620792277,0.3480610920813356,0.3163226110580378,0.30267708977613006,0.3398357314017438,0.43891651521465663,0.45418924931760446,0.41292748749060787,0.6498082900096366,0.9497995942369349,1.330711624142312,1.4033774610195326,0.8491407017211281,0.6900033066976182,0.8176408535283595,0.7348622301124951,0.6472226814651628,0.5526917616199686,0.48905727530665283,0.8479994964911343,0.43306198361477627,0.5103262227274985,0.588191234955055,0.5953265173309347,1.017647645077861,0.5798763266694724,0.46865674245246985,0.37211775619718207,0.4690504934964358,0.43755228510371236,0.3889701644231123,0.5807633837689177,0.37142387142004224,0.5116434222260247,0.46381688541848287,0.6152997648815935,0.8225684166472759,0.5846334906033792,0.7161217166835091,0.4399310422595862,1.0190098715000524,0.36880148590922635,0.3623189274140256,0.3406750539143887,0.3820570183123627,0.3806931358178313,0.40904187120432645,0.6053297176381531,0.30073487141652305,0.35321294643814033,0.2928815274658263,0.3203742190394446,0.5568834675796338,0.31927482222579534,0.44221421252425314,0.35602150381310943,0.6321946864241187,0.4878109018860255,0.3678708340720339,0.34945810688520884,0.4188952132217804,0.4707691161233309,0.37527683373470877,0.3331535545533287,0.4440475124450435,0.35955755496487285,0.520134421491659,0.2984029159231688,0.3439093671637971,0.5866521668479309,0.49252108342289325,0.5386759117458821,0.4565031290675562,0.4624898197670427,0.6625914749201507,0.4484778583210455,0.3296595676283806,0.3021035637291024,0.21937988286505783,0.24420528732437122,0.21180606661985815,0.2813809574042228,0.23926366349072192,0.42197401268270024,0.27577578314286066,0.28528602436442246,0.25508814601584817,0.20321387807539956,0.14213742275800909,0.17081908345877217,0.2542496065377546,0.2467952560182361,0.2747634216999362,0.3150025002512226,0.4162047494769956,0.32084387100607237,0.36653742223935476,0.31579330922416776,0.37691222542648983,0.3124874919788237,0.3071116650150365,0.46034979714698954,0.3261433736932435,0.3382620607823388,0.25582028520604155,0.3020479361341997,0.3874954904609348,0.38946990946538323,0.2586934343948926,0.28650464537746206,0.2775725059087136,0.2333085207800168,0.2733717096137563,0.2523233296155321,0.2702394014003571,0.37210032530707954,0.3490725708882561,0.549066573802464,1.04780694623993,0.8164937878656414,0.34710903427078066,0.2979937103872198,0.29869246166371505,0.2961416099553992,0.3053990463444045,0.33775974638548384,0.29225237709911034,0.26754023331266935,0.2806392721402152,0.3430432712665978,0.4350201242860264,0.32462506605487707,0.4094069028206678,0.439334202515909,0.4084688271777763,0.3426704597693036,0.29939312318661215,0.3185988269910552,0.3265747329105507,0.2650883539074039,0.35585989422939335,0.3761214574123968,0.48926298257201145,0.3218780585006582,0.3431258578012692,0.34750145808397853,0.3355758548257445,0.34211805701683995,0.354619463915656,0.33509964731562575,0.3979698232857015,0.49253637704573733,0.5021489094226663,0.8186791537499105,0.5673211673117414,0.675646335512285,0.5126992601628547,0.4675244811185438,0.46686281025685344,0.40800688839653787,0.4430076276799142,0.4692447549996665,0.3674902369833434,0.3657114924961644,0.44804055134952797,0.35458900519462655,0.4351473067647637,0.3765795538940801,0.3599525707548627,0.4184685011036039,0.488521864782212,0.438155188011287,0.45050796418909356,0.4903278499073521,0.5195551917986011,0.5365865031484659,0.5451796716799423,0.6630723430537364,0.6176955911837221,0.6408351753500696,0.6761697791186446,0.7717182443299211,0.6266774225587611,0.5371580950709908,0.5261187249596838,0.494777604029846,0.9959565060891753,0.6105515035266081,1.0646064476144619,1.1743157898777248,0.7143883310525052,0.759569011256471,0.8306634957272379,0.46778663947421883,0.37966710048308033,0.5938766773221157,0.6010719357662695,0.6269011094431809,0.45349815819219574,0.8825651097135118,0.6562811785466921,0.5938702046622596,0.9405620128618846,0.4060899682343031,0.5900888287804316,0.6212762030883512,0.6116667256087562,0.8005484935181605,0.865547275870973,0.9520201507432516,0.7094301032999896,0.6529943191402036,0.8553103251829035,0.7708691013816756,0.6261888790316628,0.694100847619343,0.7611805180626247,0.5991281880628561,0.5758574280370816,0.6889038361302661,0.8857135511618063,0.647960067271567,0.6257034620361304,0.5546129583958224,0.5424605463960044,0.5469351382499142,0.6050572061106297,0.4848777963357234,0.48421518180251394,0.490284522206086,0.44864144099949144,0.5115291927870081,0.430720717785807,0.4159801467098784,0.6021013587420047,0.5578403566416172,0.49132491740582557,0.6709023780721268,0.8068511028450198,0.7713165757188315,0.7132039849838296,1.029025769042386,1.296308842728138,0.8936856507686852,0.8040069469275677,0.6275345372274514,0.5737945050244401,0.8919483963492362,0.6927291085316661,0.7322014515809225,0.7296881220391085,0.4037186754014387,0.3744380039883398,0.3221303369698991,0.3203606111023029,0.3268993789249314,0.5780009285192484,0.780337151005498,1.0747513972015488,0.8295299605698598,0.6555042782030525,1.2195585815902577,1.3856337943439407,0.6355763395273083,1.1311461858240284,1.4300697869243006,2.797105613935364,3.4017185107281134,3.2822367632137213],[0.4506550569012011,0.48319387878486053,0.39877915875300035,0.3538385083800327,0.3414064061659485,0.339896252510639,0.30715065865053687,0.29446738219161084,0.2684197169038286,0.18944044256603096,0.22146877053159256,0.3284750946916958,0.24961226765143477,0.26977421612749447,0.41887700515729903,0.3623841104799365,0.37187984452912565,0.3849838743343796,0.49898940133618513,0.4103949057792111,0.4288301832420127,0.47135780099932284,0.6111213678986025,0.9087527385616755,0.597780409470886,0.532186682532547,0.4343171320974191,0.33206641644152946,0.38359957865785155,0.3460042567942864,0.4078944079043894,0.3948393201173092,0.4401275647301514,0.4226837057990205,0.37856368727452705,0.3884030918991828,0.4005863889809756,0.377973827848198,0.364353083245392,0.38688579428723513,0.4770202300284911,0.5118424962087353,0.4616584954763875,0.7134662474868084,1.0147427921255072,1.3444294606592015,1.4843707209686954,0.9206366187289646,0.7300632663145946,0.8871080625084938,0.7401300303853886,0.6840160737057525,0.6075735366636046,0.5161201036182806,0.8270803611995658,0.5002241591626605,0.5599450223843238,0.6491145719338934,0.605385481791064,1.0744985211682387,0.5979420934083173,0.5063328179491386,0.46709578400658774,0.589025168431595,0.4797184293702724,0.440297341048481,0.6193927167264277,0.456618724963192,0.6109936293765571,0.5324532681583743,0.6542955969901638,0.8852855128340629,0.6476484132330808,0.8613180279328616,0.49796557425378574,1.1623230540878022,0.44616379474879797,0.4474972909719856,0.38020148517129326,0.4340678101324458,0.43208182749204865,0.475354730608361,0.638390197499569,0.36714799273964827,0.4037592759086306,0.3465289338561253,0.3845348616619754,0.596278480148672,0.39478090590202364,0.4950069832551711,0.4623333630782929,0.7241353653283318,0.6044237213820455,0.4696762359342919,0.42074340270484284,0.5046742000851403,0.507143944658023,0.42137717695572674,0.35058621340896245,0.4871631238901833,0.38619827185622485,0.5016308297972808,0.35767909625106836,0.3862785688895051,0.5582712372216786,0.4681670086962769,0.5286025772244773,0.452710764129658,0.4606725061065262,0.6676778308715627,0.4419152007855077,0.34186291006864655,0.34098307606236267,0.24577751874887924,0.26524926854060943,0.2970108488022998,0.3398082237045013,0.3176524384294551,0.5914189081934526,0.3459061935180659,0.3773816270622483,0.3087196228162706,0.3203579010856586,0.23151126291820587,0.21652398844002876,0.24989731309319946,0.24954615386868081,0.276649865001627,0.3202518963943084,0.42317209862051447,0.33036154019482383,0.3612887494516212,0.32431122098773935,0.3745780809248927,0.32302585240609083,0.3194436892377526,0.4691106415563547,0.34571281991663194,0.33323570946599484,0.3170963535102157,0.2905871797547048,0.5282180938465398,0.5138606169996556,0.3365004426374967,0.3334448969502431,0.3673806181500292,0.3007670785972563,0.3407317455357224,0.30870979953910355,0.32294783207731503,0.3864118775132751,0.3623706476134972,0.5185329181766886,1.1361814976452467,0.9210719058824787,0.37933103616271713,0.3067899756892821,0.34063489181171314,0.30961211622310086,0.33475692928516143,0.3938299212043575,0.3505588878124341,0.31619827989552884,0.3503893924810237,0.4085756526247585,0.4872637861772631,0.369014058426624,0.4518875700936514,0.4497959051291795,0.42314019685521403,0.3730536908587009,0.34634962277378517,0.3515819644994513,0.34835719454200975,0.32799119461293536,0.4051522114860255,0.43912337239990795,0.533729150881352,0.3976354744396672,0.37593502304475024,0.3738238625229665,0.3498129656084624,0.362870861685253,0.3814661805997008,0.3590785523644885,0.430564310011737,0.5193793230444558,0.5391496951933651,0.8728452748749761,0.5992776658638215,0.719919277816107,0.6101862843925929,0.5109667957081436,0.5007379017846405,0.4362354771477954,0.4662174216939195,0.49661475763832824,0.40291208080363006,0.3875781728752952,0.4540753401909596,0.35378494502296814,0.43664781765995786,0.375613389874317,0.3636636752563779,0.4217591362198207,0.4975975499576793,0.4681016036476237,0.4826001251057538,0.5172264539035348,0.5507676141676144,0.5777625101549192,0.588915793042157,0.7199235662771767,0.6678463980695635,0.690273204832504,0.7268559397757346,0.8124544213082184,0.7027359300064964,0.5912150260737027,0.5754270887835476,0.5426956416117855,1.018573100067276,0.6330789854310422,1.049248830314825,1.1840055454191278,0.7365313515695893,0.7857956087179225,0.8557026982272448,0.49022763292768984,0.40087269107710205,0.6014372442558609,0.5991787634109829,0.6103503430200288,0.45863452263377386,0.9290058646542979,0.7181588716770333,0.625209571782901,1.0002630955590843,0.4270556576129856,0.6006252601667714,0.6368609800362243,0.6386456196842409,0.8405353570645245,0.8918878459381956,1.0073107044615894,0.7392769576502359,0.6700236115379762,0.9174401345973802,0.8104751462554113,0.6533275328192715,0.7403220168687502,0.8128607983614787,0.6385503885265053,0.6200976109437296,0.7510624697117749,0.9291734787139495,0.7010987984038981,0.6798318088742544,0.5941889101614108,0.5714963905998611,0.5636729103942955,0.6177118403373519,0.5067327254003187,0.5091856817967753,0.4986810082585499,0.4759527517602322,0.541297888461844,0.45599625164606683,0.4497061970954198,0.6458610340083275,0.5987399139202778,0.5285673676544745,0.7334640510101168,0.9063643112700612,0.8533635290121037,0.7750376747779897,1.098616039413396,1.3402969658912889,0.9868263278846289,0.88086871698082,0.6763634313238722,0.6110985404910997,0.918453593119423,0.7335241368248249,0.8009415197988409,0.7589760776795165,0.43216950777370094,0.3980360630425635,0.33025492038437915,0.32565772442771956,0.34935816113518886,0.5969802279539383,0.8485834056070916,1.1697664109433779,0.8502704528483785,0.7318175416183473,1.3651118379679106,1.4507421348781455,0.7192034329658338,1.2903723389820485,1.603816302984177,3.1333044047950653,3.8683172013940967,3.6689632862181076],[0.4835918246823123,0.4838285262629429,0.4377795358484389,0.36497743670129495,0.3568703009190963,0.3719557586203981,0.3437283155872239,0.3003088622418049,0.20287248506073804,0.17388123032535446,0.19569342793194439,0.3113458573443793,0.24545842773894203,0.21705969149470924,0.3452083710282097,0.29782635642678157,0.316804505980184,0.2958077037798702,0.3577493110514409,0.3283039816228988,0.349406285779478,0.39925733711030614,0.5280114398090016,0.7557907108212367,0.5340817433835144,0.4533667074159025,0.38751384099226593,0.28894009538653964,0.2900420682592627,0.2953590425196281,0.3292799392022536,0.34485010569675356,0.3836732577868558,0.35725789587249673,0.29427942377390437,0.2978551518586548,0.33726033765976643,0.3000844292541579,0.29124426806317316,0.3081961330710488,0.3881627564223734,0.4372563875566076,0.370852776923383,0.6096943013757591,0.9058264768257164,1.3167615137651687,1.3540462716606032,0.8227012868600428,0.683259828487601,0.816092404989126,0.6952211025012175,0.620736667669812,0.5289661434839554,0.45347273262520094,0.8267974544487101,0.41230848351160637,0.47600624375749556,0.5571358917681929,0.5912097217461402,0.9192319822302807,0.5474216035625251,0.4488201578072462,0.38375429000856887,0.5036553789602816,0.40025660714312167,0.38280036842329207,0.6002287628931936,0.39005184337853865,0.5467667050092768,0.4498041606592411,0.666038717090725,0.8957463174739786,0.5908708488124298,0.718269761617547,0.4340435766106344,1.0574134049575092,0.34879565626837883,0.3534484555635334,0.31320989278913297,0.3789175524841828,0.3959113722659369,0.428661203932643,0.6690545269872139,0.3344667617515682,0.367566630678293,0.2931800514199999,0.31607937189435986,0.5423291254321544,0.30594608383419203,0.4414424815905458,0.3720281940378323,0.6339022772675115,0.5111647059814796,0.3983240363632563,0.36724637396006155,0.45029414371465065,0.4864852889223813,0.38907730357479736,0.3294892352988681,0.4875076483518845,0.3571858218641808,0.4888044213747989,0.37458462205371407,0.41336221736938467,0.5132443789009193,0.4728872239155406,0.5396428777188105,0.4686670805533071,0.47761546817504963,0.712579787769473,0.4578080236750071,0.3537876907849092,0.39324711747868557,0.27483697715624633,0.28719262498148634,0.24982003782703566,0.2974182526944622,0.26875752156497845,0.42541653252503625,0.34026466948376316,0.31961805991075826,0.2644145177977394,0.2500961399952728,0.2247785583329243,0.28608391371480296,0.25392197325688226,0.3283122668883387,0.3245188589075083,0.33857107458136887,0.4286263633125924,0.3458458162701467,0.3740194237081174,0.32367321936841154,0.41506971349011135,0.33051923000596495,0.32759980539775485,0.44715795914982726,0.32572938113314154,0.36746548706950705,0.30373543542043513,0.35918300554272914,0.44244972706088387,0.4499058375156176,0.3050570744516102,0.27586846367413226,0.3103627423771617,0.2518586286376914,0.3201354654310755,0.32762006036374475,0.3892444959216933,0.4347999626151857,0.3967847137788136,0.5117006090851222,1.1015206869362368,0.9323016534943902,0.39755861364450484,0.3155030152589207,0.38227604324372594,0.3129599741501717,0.3696655506318605,0.39561140755434254,0.3036016859322487,0.27379393504475574,0.2801861494137197,0.39601625419899117,0.46426993843735154,0.36172752660160895,0.42480495315032457,0.4249939538456262,0.4236084203518353,0.36561193250934976,0.3262293361702872,0.33235345217114626,0.3206347681514066,0.28629416491564813,0.4020647899267764,0.42623544968234484,0.5481196163776274,0.3607603475446502,0.37278074606416817,0.3289071262166402,0.34452924560219556,0.3542926007389641,0.3501637693081668,0.35078018640236647,0.40111056032532444,0.4627629073476833,0.5306956823929707,0.8438016728484344,0.5456779512120054,0.6570880774194124,0.6317618379330864,0.5184416509513532,0.47383386028705504,0.42880285165777743,0.423297193526814,0.47765318518524885,0.4012226160369225,0.3842071664444543,0.47968720492561934,0.39411297557592573,0.5088780369276393,0.40545115600814946,0.3559148987918996,0.4683431178728869,0.5317615365726481,0.44221723076887826,0.4236452467671336,0.5570302547670537,0.5254844339664685,0.5112807011967241,0.5576071077546684,0.7175211713583889,0.6261323823290444,0.612582177398329,0.6377535780276524,0.7837079767599324,0.5663737275504123,0.5112813899490422,0.5271722690702636,0.459572603446676,1.0652333045946956,0.6207946650013021,1.1747113661578779,1.2496497329750875,0.8549085175422801,0.8928326522125261,1.0080393458902193,0.5306105080878726,0.4453669450891136,0.6763039920339617,0.6302719247238348,0.6013377276514841,0.4412162158840555,0.9012155163084519,0.6261424206351432,0.5962329134570649,0.9587858473244174,0.41734887405142307,0.6181408733127873,0.7379514781246517,0.7501938294884928,0.9768761542504985,1.0409845986632758,1.1331541870454707,0.8463610918782066,0.8027273976039773,1.0556493513802097,0.9172119230709392,0.7555550399598668,0.8764733122724425,0.9300906428402029,0.722613164776524,0.7187213920970741,0.851201598315647,0.9788194559285641,0.7408715934106116,0.7295971363621924,0.6192330423451113,0.6380703571358047,0.6383374073965046,0.6681990008851166,0.530901846876862,0.5096859946496979,0.54531104203288,0.454053144076391,0.4958369533417911,0.4051570718322538,0.4038742925723308,0.519180039020039,0.5042795865426106,0.4845806225088347,0.6409298925823675,0.756175555350783,0.734589707890382,0.6996044337743307,1.0172875365205694,1.2989287641973082,0.8665856943688938,0.7576758668262389,0.5754156107946213,0.5343279138642938,0.866555607086374,0.6659382422176982,0.7041548034599331,0.7054893278526693,0.4088342616885684,0.3897416191744285,0.34339855696224425,0.34317471292335916,0.387749805971871,0.6472415763412196,0.961125772916822,1.2752692272258501,0.8337064690277932,0.8050403812849124,1.485589508838391,1.4363610068005195,0.7177945927272011,1.311464744282302,1.787346542497545,3.4857026685294112,4.447697633180573,4.2778190875389255],[0.5074769073555282,0.45351516669769454,0.4277261568554664,0.34049190807666424,0.3001315442645967,0.3276191181563588,0.24861028689813344,0.22815073252607598,0.18627692305945523,0.11534696468891532,0.19848905300653538,0.32376020458679644,0.19500747227512794,0.16322334281059553,0.28218527092318924,0.23320438234676838,0.3038877939410625,0.30224635424351604,0.34717083154957634,0.3502297316783975,0.368736337202616,0.4182705983221435,0.5281892259688733,0.7086338565603836,0.5520510562345654,0.4678959805992005,0.431409914404642,0.36570274929300856,0.2911769761613353,0.29368445377067337,0.26967314065543496,0.3102076596195717,0.33666672725566565,0.34872840392104004,0.2876053883713416,0.29678616453542117,0.31079390931344464,0.30083440451289034,0.3073415595833401,0.30748056821389963,0.37904672002928114,0.42664914456011144,0.37577511501877014,0.5456524891967829,0.8312458282816626,1.2925886462569498,1.2658731322494832,0.7426619005821544,0.652469100911114,0.7616332018152756,0.6858282341702517,0.5707856724421351,0.4906777777641243,0.4266986000295244,0.8679680388908549,0.4211836460817665,0.48850431880003525,0.515431888029975,0.6395134007061274,0.8390026264143082,0.5733224722180417,0.47967967759742736,0.39638006765044065,0.5296925373063183,0.42461689469992947,0.4269644045973869,0.6350282946293773,0.413837768423548,0.5234584844122051,0.4410262460065957,0.6951324277804374,0.994940755660346,0.6120363820449729,0.6593551573102363,0.4444154468898728,1.0186861509060432,0.3407929673321874,0.3273561706905541,0.33031284090371155,0.403981276919765,0.4179986447914929,0.442472038237936,0.6853192887734711,0.3024231534442404,0.36180337862510054,0.28809546095118294,0.33955824115095534,0.5143350941709944,0.31700353807261594,0.4541028850969621,0.32465577606812274,0.5541465767116436,0.38973917163390265,0.3322267713561756,0.31698911889335213,0.38247972635148286,0.40273114690089756,0.3595337946402406,0.2847632699551643,0.5012112682633013,0.31218607350299554,0.513994036010433,0.32180913033301856,0.38467837163994545,0.505322808539321,0.44522736987277245,0.5490775907084955,0.38950584615522355,0.4286005779698441,0.687946459025702,0.3774046943525814,0.2549576296131974,0.2771555585540201,0.24608577766028705,0.2874720654569666,0.27998904434236815,0.3511659320862642,0.2965158242947114,0.4314464422098783,0.450751412457012,0.35362397098233167,0.29107246346501287,0.266641961041833,0.24722485742214553,0.22174505388256954,0.2290269342126593,0.2584377633306308,0.26698436420334776,0.25649291246353945,0.3531447380611685,0.2819456063058521,0.33921923156593387,0.2502505308900304,0.39550544271523397,0.276051783924857,0.2754145936078386,0.43977594563197836,0.30898848286583286,0.4127593543948743,0.330443022507796,0.3511508489888987,0.4175184417503589,0.44046645745478136,0.32168006295800744,0.3050187786585871,0.3202039604704147,0.2659161958994815,0.2995601925784306,0.23588809055762594,0.309658255929595,0.35135962200079573,0.3623153205822353,0.5055700130902359,1.1960264847883575,0.9568945884406812,0.3864544802402268,0.28054104285209247,0.33900420307762796,0.2753351926161267,0.31259276059513164,0.30901801477446106,0.275893412616922,0.27232909277902007,0.27847922410611814,0.3720978327514217,0.46293340259702537,0.33049126979230287,0.3865792749506217,0.38414651599864097,0.3983846917914618,0.317752093783725,0.28666723913742964,0.30628123404171376,0.30244929007598415,0.2442652956784682,0.349357733004482,0.3624510727309648,0.5551395389481437,0.305808965104364,0.3506867774240119,0.30063728455305605,0.292858760787218,0.30059361541561463,0.31484491704768586,0.3360844360097468,0.4011141537645811,0.4492140224277265,0.5384804779493189,0.8266634146479072,0.5294741327042419,0.6132426312215812,0.5750507561422349,0.45370490964881943,0.40351507003589765,0.36214755681805527,0.3691032738884412,0.429834764973266,0.32454807323969453,0.3173693151056872,0.4148876669156045,0.36206102029481085,0.49489371661376474,0.3660584470817181,0.3501014533720392,0.49157437274899085,0.5404976762319861,0.43939246101632295,0.439657191461768,0.5935986865379017,0.5351463224877457,0.5357166092588981,0.6093386072868443,0.7547590232588423,0.6608204564238473,0.651469962315362,0.6519100738545005,0.8363976674612147,0.5594372063110512,0.5443456606432363,0.5699950221437048,0.5174104425396248,1.1435665968892437,0.6575841317100943,1.2645773464597907,1.2724111468216297,0.8829049320302336,0.9087510867830322,1.033070866149652,0.49718398549547477,0.4209520598035765,0.6879512394429217,0.6433407420512629,0.6442702420080586,0.44897267385037043,0.8127718313670065,0.5330852917475789,0.5552687841493482,0.889541190318072,0.3915833974521578,0.5541945333016484,0.7100649569800744,0.7565708816234016,0.9633507003162076,1.0771653164284412,1.1381031766183594,0.8410039795844817,0.812760071503116,1.0983337821855461,0.9287277925594488,0.783640326272843,0.9146751656575811,0.9671568389602854,0.7540461658043967,0.7787247298942317,0.9287225690383563,1.0270748103433711,0.8017529565613088,0.8059257641899199,0.685628821620035,0.6963531027585611,0.6888545892131704,0.7212650111893988,0.5899900700619932,0.5506946981994792,0.6074283170806081,0.5047517384691916,0.5507748138953724,0.4252857126912034,0.41745124166092173,0.5421737372388133,0.505702264539183,0.4485921556395916,0.576479672905861,0.6769455965919011,0.6718847960479951,0.6412060618060397,0.8858149485921498,1.1737990564834035,0.8478913160413413,0.7125948598220883,0.5461027682275666,0.5199655891335091,0.8342157403293642,0.6372514332757405,0.6628655783477665,0.6998903222504455,0.39310850237473016,0.36120509072059526,0.2918036312373019,0.27936000092209873,0.33702533542713375,0.653627214905985,1.0748836095136705,1.326566481233747,0.8080669908577491,0.9191198058316172,1.6225676943650802,1.4091895889470674,0.7672169852765605,1.4546973325364498,1.9377039719222333,3.711857053502898,4.750101656559059,4.477413853082617],[0.5593411218567842,0.4707171539392808,0.4434092546761081,0.3501969369207028,0.3104574202683933,0.3553504275059904,0.2594674445771875,0.2710559842162249,0.22698509892953947,0.1944175271786622,0.15343943553891368,0.2958557901956193,0.20771801590783842,0.20238943949077712,0.3401791163294473,0.28455573879683466,0.38006937319401013,0.38797507659136027,0.4560748196732826,0.4503735448247961,0.4656416893318397,0.482633693996311,0.6092496573196932,0.7727224267219773,0.5936013478259641,0.5359088572271905,0.5141984857096875,0.44496730844639637,0.3654568541160959,0.35192965560688555,0.35074450927697526,0.3335038303890007,0.41064247089003697,0.40691998836447413,0.3341141022137441,0.3488929341855849,0.343943123236691,0.37319445895820136,0.3769374162214742,0.35710090891872104,0.4293480247616866,0.49561977752811803,0.4450219226868308,0.5836147845632762,0.8738119662440338,1.328475730452382,1.3140914349529769,0.7670932752563139,0.6947952472093618,0.7909726671262034,0.7267187617853225,0.6193234580146906,0.5359075465204567,0.4710876441609238,0.8849372013928773,0.4737014333917343,0.5384271794269738,0.5511922983470576,0.6417303257233803,0.8099726439609773,0.6062412645236205,0.5228784771433554,0.45875350556578354,0.6404268582545058,0.5069259844002241,0.48629125063268747,0.7081117080462481,0.5213116728417275,0.602317012457413,0.5276907855234078,0.7834995176440831,1.1257894759448241,0.7010720347323635,0.7389650805443735,0.4855212166182075,1.0768814568615186,0.404122422493841,0.4165657758744165,0.3963516525562371,0.44247741511296346,0.4708870793143794,0.4858248911980765,0.7394283252234546,0.3643626830065333,0.4055493549526509,0.34318819887538,0.3911640950833264,0.5176375008359735,0.3748677997676468,0.5059278789968837,0.3979919285986449,0.6016421317232601,0.4509816162001258,0.3915205295442345,0.36809731942872365,0.44286479999421374,0.4289686669164895,0.3812531467547889,0.30157332181941243,0.5646459963316923,0.325789514056904,0.5004244237722083,0.3465706023445908,0.37147147194659885,0.5068271720646407,0.4237003506387732,0.5427562488543224,0.3725692899595562,0.41018284755049916,0.6752155078475923,0.35664324270067493,0.2445590696922037,0.27907739329383857,0.2659782624190492,0.3030783856569141,0.30350223925816106,0.4185466356745773,0.39442838379414624,0.5579316065180491,0.5749527636624256,0.4522964184833462,0.3651194603422535,0.3033580942554599,0.2550507021146038,0.2159990643479141,0.23455299767260535,0.2755560499388159,0.297944563234411,0.2723443194719,0.36698519016687703,0.2952267514020404,0.3466038290250454,0.27606211728111574,0.43781958430991025,0.30588325880912537,0.29691584472145527,0.43477874516106174,0.323341489119856,0.4307722690495396,0.3618282049305398,0.45561228139045895,0.46448553104644463,0.4812019337937912,0.3867845174160188,0.37671969992353493,0.37820866025458,0.32433729441609055,0.3499044655528256,0.2519117501332183,0.28287527276233293,0.33285161668192687,0.3633198880272319,0.5074196925600106,1.2454916503672753,1.0116094604523689,0.4442224921242966,0.3113949726527991,0.3144321636703285,0.30784108147277844,0.31550641218262915,0.3343529654931459,0.31482404666309904,0.32279530941813056,0.32276158415554496,0.42620040463439157,0.4746053689182974,0.37538923691957227,0.43642440650145586,0.40480670876849983,0.43034396281693044,0.34997740695098384,0.32987794065080167,0.3350485943578334,0.33223235742533835,0.2748180027696203,0.37736478779368743,0.4036056868626741,0.6007074637294636,0.36149829893407714,0.3786961127157543,0.324477492634606,0.3025859516638292,0.3101430852766631,0.33950993436776744,0.3686153275200864,0.4235570797568468,0.46674360470306814,0.5882804008169144,0.8664863807899137,0.5588536518081623,0.6367501253505516,0.6271276208016617,0.4971170675255232,0.43197356387151536,0.38701777311362834,0.3840488263187782,0.4387388442254984,0.33398277144809113,0.31450146444846616,0.40311178789178553,0.3809199585591869,0.5264835191297877,0.3801971724111763,0.3721905592520994,0.532357634995768,0.5743876410131342,0.44709737426073776,0.4659661199727636,0.6460875462644011,0.5659953472895366,0.56044874359522,0.653389114663271,0.7927353501756823,0.6911069556204238,0.6907208537138907,0.6713834320759203,0.889108045552289,0.5758687940531467,0.5727478224297204,0.608000329956618,0.5587641369159646,1.2076702806016546,0.7081296657324645,1.3167684693760886,1.3050160366861883,0.9513150486818022,0.9631085054992119,1.114506371608089,0.5508181437823922,0.46131483326640976,0.7196241071255933,0.6798108544557375,0.6461023079620979,0.45542020764431546,0.8335020734211753,0.5058123561346679,0.5400812802647341,0.8744549765449925,0.38782951550635025,0.5665226896461849,0.7490507562820693,0.7960671301548481,1.005421233961488,1.1332367225609934,1.1844038822526306,0.8708981158198493,0.8785000542854141,1.16541435822958,0.9687205828143964,0.8442900502911915,0.9965178245168443,1.0426197835331736,0.8115444124250688,0.8588889002784278,1.021745395096668,1.1008227543343148,0.8711952261413027,0.8880097323660188,0.7561870257780452,0.7734965920427417,0.7653302377964214,0.7928206563822574,0.6551183369983666,0.5972621698333161,0.6508051383237137,0.5436778037590663,0.5803214418757077,0.4418915285621814,0.44138380446275766,0.5496022439804527,0.5108522606332194,0.433905654512536,0.581843117440208,0.6746829788075712,0.6680724201044079,0.643779114721828,0.890864683754764,1.1768629183008354,0.8496928599954365,0.714483057030164,0.5507943586662221,0.530340339871125,0.8360162828765663,0.6390875008098733,0.6653395105046258,0.7016315482186746,0.39830919858467967,0.3651683902777081,0.29207100487860643,0.27698622160562586,0.35155072049544644,0.6565880369608907,1.1276904746687382,1.3777047854402502,0.7771749723133891,0.9709412529972608,1.7081597542880773,1.344075523350148,0.7802200315887038,1.5287336939500322,2.080199457193328,3.9236407741641033,5.200862737302305,4.997681131227625],[0.5667286012558037,0.520653943666896,0.4880799424888825,0.43892273118553127,0.39255358346233826,0.40017095868623886,0.33116190158404224,0.32342098376354633,0.2944106099325339,0.29570829386984754,0.31192515382717384,0.398401662693392,0.3390698548621454,0.30224547294965187,0.395754979163621,0.37977900726891894,0.4268639111070025,0.42741711996913584,0.4974487379679528,0.47440759143998495,0.4789385528683853,0.48248935830099376,0.6816894222960577,0.9035922940039388,0.6237374957911054,0.5916370565658595,0.5842677812589401,0.48102333555573945,0.4173198845673481,0.3849256119340316,0.4241296586157477,0.42121806521647404,0.5155344462024106,0.48635508750355017,0.4041990331489046,0.39182537930815764,0.41282436445635234,0.42705124197472505,0.4330403753728468,0.42344798753665597,0.500912119244222,0.5552343407418338,0.4943780246554387,0.6578395378280264,0.9528170190217684,1.382668484411725,1.42463402217199,0.8456481525075593,0.7708381312280881,0.8899308016817129,0.7715903177598201,0.6913132198263169,0.616956757821785,0.5398767935817552,0.8576737665810661,0.5441032977033555,0.6277179007136401,0.5855019538549854,0.6399431955425399,0.9457034603976232,0.6487781346257309,0.5446210145464676,0.4942890106528868,0.6760324946505691,0.5255913499358322,0.5116302485454336,0.7469368286378754,0.5386981773477348,0.6416614903763904,0.5452631547980704,0.7793024094450042,1.1425787029738383,0.6880542916256966,0.8310813109216304,0.5243373239557568,1.15407027181372,0.47208689155774075,0.47311885620262345,0.43472225335241976,0.48672243202309673,0.4903359340868586,0.5140298698591542,0.7271108365747954,0.3773433272878366,0.4778636619553693,0.389163573190511,0.45607861949846173,0.5490837270521935,0.41685817327468755,0.5141729745265231,0.49452033616566826,0.7215809354808517,0.5810519776158888,0.5215815010592958,0.48129257541240156,0.5591341875597051,0.5218508959194769,0.4788112793454626,0.4439250039390663,0.6902154799585766,0.44127912555093446,0.5608194787042315,0.4249676987295738,0.4410247424823938,0.5210992213323938,0.45941729850790575,0.5414826645387653,0.425313906106649,0.46613204544619025,0.6949847754116512,0.4205626762315028,0.3515949367685716,0.37764481031474195,0.375665569469222,0.3892500708189209,0.4220088397763484,0.4931388865472914,0.5105782572432587,0.723115662373057,0.5928284671146674,0.5550028321459907,0.47344763433487336,0.4680861090741967,0.41240288828145916,0.3572302053608081,0.38200848288002087,0.3597674767989364,0.3705172088093873,0.3652922194575065,0.4404663444683163,0.40687268845966984,0.4205535312910661,0.4037487115901413,0.47475788994919704,0.41801733686042386,0.4164921423184328,0.5546360720383219,0.47154408565169414,0.5342000171409551,0.5069484385669447,0.5855194013134175,0.6008373793507956,0.5816738103119495,0.48664080218511785,0.46279253880258797,0.44849169462828403,0.4099974792203712,0.40592253419563235,0.3527301260772234,0.3633207697690792,0.42041006817084187,0.4441947834728732,0.5516758032311158,1.331128601315404,1.069090128978698,0.5398101288082472,0.41317941206200853,0.401423420883276,0.3837980017436737,0.3990283231529863,0.44468700353350077,0.37725073580819973,0.42976455767639665,0.4017136012259047,0.5423696503852605,0.6073369358934099,0.5072397750202005,0.5913311482969864,0.5661623494687918,0.5870804239185866,0.50516800489088,0.48874127539336887,0.4599527307761709,0.412177101709725,0.35106788849271275,0.4083108325663259,0.4446407935514012,0.6225975656457546,0.405535422017389,0.4026704817665965,0.39376602681394074,0.3763878488976837,0.3874522135182354,0.41831177455898133,0.45003287835709144,0.483958794998049,0.5278800410672123,0.643980930606242,0.9557261160701892,0.6787271994066276,0.7739569997410872,0.7316784243818907,0.605663904198458,0.5441828267580924,0.497228743802416,0.49775950243588213,0.5737073142770794,0.4444100781337509,0.42214131628769996,0.4652662996982545,0.4128043360992843,0.5375046595694067,0.42326082299492473,0.41216947550839617,0.5308455350589977,0.5820443017358151,0.5083176766377738,0.4955295426448157,0.6261735169732084,0.5843197260520632,0.6062314021956507,0.6675944053422497,0.8116159832442763,0.7308968274946515,0.7194626362360755,0.7171471137388414,0.8668497779900685,0.6012764950842329,0.5619152207156207,0.6003312217384329,0.5513639847716081,1.1211117556210841,0.6786548270505488,1.2761204780764894,1.2833837854845727,0.9142976550782321,0.922770427457672,1.0518501494379175,0.548396605103484,0.4664750596555708,0.706692896505737,0.6660523795895449,0.6348769721462736,0.48792753717553033,0.8866164505953352,0.6377820954688411,0.6404778517636298,1.013041056821384,0.4721488566593484,0.6176228857200798,0.7584478715619505,0.7719734020779409,0.9864685893679117,1.0959106261696137,1.1723431596653764,0.853788689344344,0.8467927997280055,1.1547860242096906,0.9650365170313225,0.8180115127722257,0.9698748398418239,1.021294645147048,0.7966386827619116,0.8310533881724261,0.9992302485350453,1.0683144909727,0.8516149790548472,0.8575526646757003,0.7284806640534434,0.7273218185996856,0.724582385399353,0.7599712935405077,0.6148615293658111,0.5832989657558555,0.6385728095263853,0.5425521307586035,0.578267454229915,0.46930552179183366,0.4502821094039003,0.5806439624878068,0.544869190725257,0.538343221435448,0.6461118345174897,0.7871712842312698,0.755474732765496,0.707271530753711,0.9438631593318791,1.2417274424317017,0.9377957767426096,0.7702751509531063,0.5998839873546044,0.5615110433178755,0.8442769795196292,0.678071028404621,0.7271266974479642,0.749402443341105,0.45944256969005665,0.436797973211673,0.3948439898938035,0.3987475351421306,0.4137054454730649,0.6692103739141488,1.1075758323945624,1.3831877363486547,0.8213618759466736,0.9745661277512222,1.7085919699903036,1.3967712116492987,0.8479115193643911,1.5660967180372203,2.059448622791986,3.907517412034911,5.147650560302731,4.937248785136896],[0.5132919249288806,0.44902172823402536,0.4431993397149287,0.33966758176745887,0.339308485845949,0.38039402819448564,0.271380200332108,0.3044076787908957,0.251839555427212,0.1788939487591097,0.17846456622411033,0.3133388221136529,0.2013787541256727,0.18078095215098008,0.3403626729530694,0.286554002219654,0.336037247875337,0.35942242658465395,0.43382295985405844,0.4014883228651818,0.41996658217406957,0.4321460030203769,0.6113481195005714,0.8116323391099266,0.5769829536395182,0.5159056279557246,0.47745395984596994,0.39754249779984485,0.3330173326668626,0.31791756886906586,0.3581592278152125,0.34766437746035866,0.45313650582831844,0.44902629525766125,0.34338937617046966,0.3248641494274725,0.3303983840112845,0.32447479224660963,0.3236261361351401,0.3178763219014363,0.40688415027596664,0.4707321744254642,0.40373853163656476,0.5874071250342429,0.9033623472989348,1.3489970750665552,1.378578140303508,0.7869116237048452,0.6951469323396222,0.8169238304305362,0.7156837684697458,0.6080656021301671,0.5207584358331139,0.4414317187976,0.857072101609095,0.4415938969296442,0.5197154837393096,0.5223100937662144,0.6136773824432672,0.8424832225100648,0.5734279924383229,0.5076974009912357,0.4601146914931811,0.6275552967373381,0.4594088877503518,0.4606627202650447,0.7084018384961913,0.4882162763373412,0.5999103254116046,0.5080920530219424,0.7687810726032382,1.164744575093242,0.6894627721325671,0.7761985714008232,0.4988700611687058,1.0872314349751098,0.4176060071857529,0.43475810146159094,0.3828969058170452,0.4152497709402953,0.459996214464694,0.45832151510348973,0.7124995436101141,0.3085596972530062,0.36030410109287453,0.2924595017807769,0.36097226345954736,0.5161150834454681,0.34428980332601195,0.5246952047861937,0.4371461267880201,0.6405276876069589,0.5066277844259293,0.46915992435796666,0.4296075626935695,0.5323912838299389,0.4825059342646865,0.42628599911708365,0.34377430666742903,0.6078822351565205,0.34815145555880106,0.5522653154795895,0.3456017482251862,0.3881950090707755,0.5255366696064011,0.4995439425287427,0.6246558491012515,0.4595501331555171,0.4890291628742563,0.7341696013475051,0.4496074794299045,0.29628123596088957,0.2956995763890273,0.2909352278316892,0.3053078477975088,0.3140499686975045,0.3977099004517983,0.3670163038997293,0.5836748295849299,0.5248849385805752,0.45045388519233215,0.3657093314984779,0.33958583553682287,0.3043092631097776,0.300103917591278,0.3146351611482586,0.32981906070529393,0.3141096087576757,0.3147887864297165,0.4004530349080385,0.3492878870178587,0.4129099233451334,0.2993252130915765,0.4343828917545865,0.32177757644282357,0.33132939900547215,0.506396750381126,0.3696568210994104,0.41500672814125406,0.3693842963326541,0.45873904945488325,0.5073331929919181,0.4953573787144697,0.3753013547498544,0.33567719917084077,0.3316797510824387,0.28912957349031915,0.30803607679106537,0.2453178631261546,0.29566070925101656,0.3577362183578259,0.3915311437270793,0.5799986262186119,1.42015530144237,1.0611704543689338,0.48473551134820037,0.32893226394372266,0.3417625554427121,0.29841680040399443,0.3134991168340971,0.32851260633408624,0.27917792647927464,0.30986674182849466,0.3004428876023248,0.40914394613759286,0.48464275848981025,0.3785816126648387,0.4449973128281404,0.47798496526597606,0.4648529733614674,0.400041016761683,0.34332296861426553,0.33406943401255684,0.3261447471417266,0.24378885186702276,0.3442670829955171,0.3563502355759765,0.5745976895461,0.3039338081111291,0.33553872535236323,0.30763540970820036,0.3277373386585436,0.33388742116580017,0.3500382022560611,0.3647842424779114,0.41806360893360495,0.4620267535528663,0.5464139127254527,0.8909309919139958,0.5783684472676255,0.6525392783880415,0.5972641091532975,0.4784199525909173,0.4237070746155718,0.3657744764374938,0.40496078765288906,0.4720528787772085,0.3628377501297031,0.3769324303155178,0.4679876792184388,0.4497648387418863,0.5637348088452664,0.4459411291353699,0.45006156115840734,0.5925696921149908,0.6325411183502206,0.488376885311327,0.545811252343382,0.7001034619376515,0.6298662668126919,0.645116421987222,0.7314071089276661,0.8573918559173983,0.7619675120538358,0.7685010778718823,0.7406384696805385,0.9184810134259437,0.6238602082026932,0.6305874784855856,0.67206181504778,0.639760535285544,1.145980016146703,0.7657395617135762,1.382744070718845,1.3227679657293454,0.9304012386869681,0.9306534318382566,1.0372343943286884,0.5390633415946098,0.5108268892765431,0.7581399296379858,0.7115608906835036,0.7603179300096531,0.5516866324938252,0.8036279294676718,0.590365618970459,0.6115684261293665,0.885680926308351,0.46025869308082373,0.6018197137182224,0.7395232234578163,0.8032697009932582,0.9805147274917183,1.125227096905418,1.1497379104925767,0.8703178676686854,0.8751583328537526,1.1718898017854888,0.9773785566238107,0.8611409015745157,1.0009780798847965,1.0536534179431833,0.8533670564012811,0.898304919642568,1.0570494512594069,1.1127379796812034,0.9210428636132556,0.9405053965421976,0.811305893670393,0.8078695967842434,0.7985693955279419,0.8232313539946631,0.7047244306852386,0.6601062015642779,0.7377499230139857,0.6364789596240397,0.6721671105597616,0.5495105076076893,0.5322472370380071,0.6831639257564772,0.5933449496511575,0.5157556437978359,0.6168264418804194,0.6983682483679943,0.6927509704396821,0.6737282454234627,0.8926641359698398,1.1093394773288219,0.9640347382606069,0.7282956303966364,0.5584870008413618,0.5420668997780046,0.8004871203762002,0.6282616908457317,0.6711983127272323,0.7022622634753187,0.4689051538164338,0.41314136905907933,0.36756702913573636,0.3592197138636504,0.36060596256912336,0.7694030614238362,1.236748342204295,1.4166904280556998,0.9053268778039603,1.11126625744982,1.7871899296783984,1.4218944828678761,0.9159912657146309,1.703456574423046,2.0944480989163345,3.871588124968685,4.993928249028316,4.644437984043517],[0.5717919400465201,0.4548984327341145,0.46670472056304857,0.34295963988886635,0.3119600886473051,0.3937924414265505,0.25145251785246053,0.29338893562083135,0.2268656821850047,0.17186274344380859,0.19309836027346036,0.3224653115415163,0.22349526631688507,0.21111781731664422,0.4250243198378052,0.3307887281232086,0.3718922209679738,0.40785854792618453,0.42501100891983606,0.42439836589290675,0.4468287287194974,0.46556651401853305,0.5698752425276717,0.70652636056877,0.5528975456724521,0.4950603866584589,0.4886094269780886,0.4384736893413322,0.373452195303927,0.37594988000974916,0.38311500886863925,0.36900991843995795,0.4195164774824711,0.4553574510768034,0.37686631645618973,0.3710662341030882,0.3822030753233299,0.3780136208192969,0.36946319245929765,0.3427329640986484,0.40930687692473283,0.4805014202493846,0.4356769096419143,0.5464598510878581,0.8205974852898941,1.293448358447573,1.2178596497737924,0.7291985287203322,0.6540833161504712,0.7257970048975747,0.692990775307223,0.5562934057178105,0.48735786644461176,0.4258777210240699,0.910891374885098,0.46702830157508024,0.5416652088614234,0.5298308235253874,0.6626592244942218,0.7769511644430868,0.5898077692085344,0.523303419384971,0.463463064397935,0.6046481448486603,0.4812319291282578,0.4729114672290676,0.7248681921929678,0.5325894748876474,0.6005520922788667,0.5447666013608221,0.8159385917381744,1.1933207496155356,0.7270617287980116,0.696669510469129,0.5226394049703067,0.9564715850390082,0.44139123896342813,0.4439865882117679,0.42719645765470976,0.4475911553535493,0.4981818910178846,0.4917698543450319,0.7809925457082852,0.3617269631936698,0.3742014211616628,0.35242360558499564,0.40390130017450543,0.5404903261449718,0.3820986598047566,0.538985645483563,0.4430697442203236,0.5876233060010253,0.4620837729716078,0.43803363769072096,0.420784099204771,0.482563966943907,0.5092141923617157,0.42102180346835877,0.35293853480005777,0.6160272542635066,0.35642684771024896,0.5674617326994367,0.38544152231887735,0.4261292807348952,0.5652974981644601,0.4891493075879359,0.6358396859002281,0.4458530164199608,0.4742849892932341,0.7431682881248663,0.3971511972220665,0.26316793539240424,0.25701590250255835,0.2793618378946586,0.2866075537130272,0.2777255995731217,0.38917624383080773,0.3507372352136236,0.5139487736189566,0.5429610305352882,0.4271019684594187,0.32831549306740915,0.27114534168902166,0.24823568888321618,0.26258175911074044,0.27520013456685977,0.31211944906682326,0.29846626837473395,0.29167844758625966,0.37062773035308627,0.30988691557199816,0.39552791100452334,0.2857307330017225,0.47490143562709214,0.29517513628720726,0.28578442927549425,0.4603873431091425,0.3331899956851886,0.441921035183798,0.34665507006534085,0.386923580222059,0.4039116039557861,0.4205882363946829,0.3456631666173644,0.34551820982375625,0.3561572170417219,0.29974753331760445,0.32559126228150803,0.2682258663461139,0.30262484235382625,0.3623771597221437,0.400823387327327,0.5945899830684365,1.3954829291497175,1.0735521263821024,0.5056962743692548,0.3515442325655233,0.37330067093947106,0.3415224845794876,0.3592418906615498,0.3214061758314111,0.32268934428246054,0.29957638472434417,0.2982606705570074,0.38111870735654485,0.44687153767738863,0.3243938367240437,0.3751551591270686,0.3879769223013209,0.40139464199396035,0.32631900062423463,0.29120182500029324,0.3025535798464677,0.3161361047905597,0.2614841463169596,0.3823966820516715,0.39064932075441566,0.6428628514298963,0.34269524072628826,0.40109020186254346,0.31061159552230444,0.33217069860965703,0.3273025892435438,0.35821631097106227,0.3686836454041336,0.393069171541476,0.43514721559151,0.5621022570853693,0.8088847142345998,0.5120754417105036,0.5916202379970751,0.561230082709052,0.4482417405784497,0.3858754933374214,0.351246394877888,0.3822937599210567,0.44527317457593857,0.33001644331661617,0.3257987322609084,0.424177654520752,0.4588887975097175,0.5952537558072579,0.43581820146923994,0.43504528241438173,0.6228515244792053,0.640735815417434,0.48603717069057945,0.5402026790313905,0.7351433896456491,0.6235200434529063,0.627825635556992,0.7359465537818204,0.8531990066358599,0.7675362855824774,0.7454703327999254,0.706897302373466,0.914928574231228,0.5912129353364224,0.6209021875246402,0.6865877214214484,0.6671108536266364,1.2265522708412713,0.7842506724247715,1.4479199236439373,1.381819530868913,1.0206245402482652,1.001291060800106,1.1482013827647033,0.6154975309076851,0.5709014940551208,0.7993482163232052,0.7654072245475214,0.7704115859299119,0.551405505377768,0.7997018868715163,0.5146091173970663,0.5758935203854791,0.8323135920580043,0.43549793369111983,0.6092299130249988,0.8006664807920187,0.8563026030132237,1.0416778258531936,1.200741821785827,1.2126884250103047,0.9234945576981284,0.9514787746600205,1.237405537537744,1.0206574622621267,0.9226072156350744,1.0747674791146051,1.1095572390919577,0.8986050387609574,0.9574834614586092,1.1038401505790918,1.130102878343268,0.9544674838055327,0.9840969947284176,0.8590831065557377,0.8747715649480574,0.864606539415533,0.8946382511414421,0.7728901312929686,0.6994725674939032,0.7837697949293095,0.6759989629769024,0.7054354261965939,0.5597213194555819,0.5721366919426633,0.6496210031882156,0.5590850774421755,0.48903704790514485,0.6329748903026375,0.6571758365704299,0.6366072952198398,0.615942732543292,0.7996292584058949,1.0671461933764248,0.8509487556051961,0.6577849840216745,0.5420580684257809,0.5307406252319847,0.7929435705995277,0.606144468709562,0.6154553704547,0.6975716628874179,0.4307362333761658,0.36228284214321954,0.32473825177306076,0.3018486465558795,0.3661225339738009,0.7545053853968312,1.2755820821926773,1.4705998775976947,0.8247735572976004,1.115059825907382,1.8277080878250456,1.3205405912486494,0.8425525238460272,1.6301408247181064,2.1734900035340172,4.049306001758916,5.355207695182809,5.067673566518248],[0.5595120466024178,0.497407424772019,0.583854924485362,0.39873904805526983,0.3872322822352372,0.5466048701855746,0.3918226048409138,0.44953397343489854,0.3863433911535894,0.29962927239355786,0.3229830928078262,0.4054406789038808,0.3558801388095163,0.40686466842358704,0.5888649944127119,0.4860930610044801,0.5376367530900383,0.6025125403226997,0.6424801460135631,0.5972262526214048,0.6563415792799285,0.632561643793692,0.7566747628595825,0.929768350792485,0.7088170031076335,0.685180349450334,0.6825209971716111,0.6010297292397294,0.5355813359347422,0.5026707532461633,0.5931310933077777,0.5116598813924809,0.6243664678371053,0.6374901549057345,0.5583034825706243,0.5620195653707482,0.5100602245402871,0.5378631908101718,0.5102103398586361,0.47289952474812813,0.5611230796758132,0.6281098114340457,0.6037552853690452,0.6413844131587011,0.9328010915554378,1.3624312719411817,1.3064350998925365,0.7873763380142434,0.7289025321487552,0.8042990488626084,0.7388075128213994,0.6423160255037003,0.607648826637141,0.5343449352451548,0.9586812659372617,0.6308822236803745,0.6778039248031426,0.6574125567040309,0.7950464196501767,0.857795397003172,0.7119545559951094,0.715393796885245,0.6970667832621616,0.8424260262457686,0.6956964632161119,0.6697480582669131,0.9218311563303554,0.7191475168448924,0.8228907273905006,0.736116003722826,1.0178148267892013,1.4383743929274324,0.8877765628836978,0.9149277391637609,0.7468743519093326,1.070619245764607,0.6825900426756368,0.6637118112587823,0.6399191641305768,0.6474447506610967,0.6576232285740927,0.6239737972647929,0.8574498155709467,0.45196878403778606,0.4479553548765176,0.4639834574711268,0.5678477170688012,0.6425491795750594,0.5870644500820725,0.6991699745475247,0.6727111296154891,0.755246829413035,0.6977399414371851,0.6727044898907975,0.6289292457471432,0.7069507262062332,0.7024481471068634,0.5535624364850577,0.4697245022761957,0.7653320995593414,0.4684851286266289,0.6295791431359301,0.4787195996692997,0.5427296802646646,0.6338382312768583,0.5552516312080207,0.7001423526697379,0.5551537075339184,0.5972307578434863,0.8420469892559095,0.5279461448142112,0.37487241673384497,0.3619313900194801,0.3698442402796563,0.3939231001919927,0.4234970758245147,0.5599871747829385,0.5595523273910411,0.8306615763893572,0.7573500630372719,0.6695544219758695,0.5347642451674693,0.44479142304512437,0.3728075721699412,0.35676112964898743,0.3667539790150773,0.41934339553991357,0.37313453589444445,0.39703858572209916,0.44099667783603647,0.4013243330789131,0.4831274924193297,0.3655608052643161,0.5194452718698099,0.3650810266192753,0.36531407618255274,0.5223396058121614,0.4148390887409114,0.5007250531922726,0.45297166816036794,0.532668117205318,0.5751035764338059,0.5920936977735138,0.503351996110071,0.5071550617751007,0.495540275499649,0.4261240378305831,0.4185859361951875,0.36081179189814844,0.4017010506267023,0.5048149103594182,0.5501938765747107,0.7683277093163511,1.6034464819236922,1.190005202698951,0.6532606538743625,0.46536152727018326,0.49915149053012886,0.4369271802174231,0.4497030002749106,0.42420221325100216,0.4139922936416181,0.4012583204070446,0.40586003421217154,0.478765256402851,0.5384683197657789,0.4251667316128272,0.4528132867772758,0.4450392339943342,0.4671249528862081,0.40576574291127715,0.38472224985149245,0.3859643156368963,0.38775914746416207,0.3604565666192572,0.4544279323788811,0.46806605149201136,0.7368773119483449,0.4248285419335458,0.4880355867969342,0.38028115846062005,0.40517042329225883,0.39083783597882954,0.40386722781439327,0.42691682528669844,0.45791971436228046,0.5093168581761099,0.6380185441268151,0.8720248148166097,0.5915747758752146,0.6602450178597428,0.6658615665705327,0.5154700253234078,0.45429699333497175,0.4148214384401131,0.44790502594376164,0.5002396101257388,0.4170976220632546,0.4410411093929108,0.5368770223257004,0.6137017445565125,0.7488046774780205,0.5843295965868459,0.591234433262878,0.8061032505246915,0.8199313599052006,0.6137164200853161,0.7228073195633083,0.9562481953175086,0.8223315515727604,0.8218601810693333,0.9678120512580737,1.0807430867723777,0.9662640123435261,0.9451493270355341,0.8554264144830482,1.0655967081299154,0.7172115611458719,0.7859898710499573,0.8873420857169311,0.8606252225124836,1.2530569852523448,0.9697978062873056,1.6457380684222684,1.526183560038121,1.1911135851093966,1.1363334435258723,1.2665594843332955,0.7882394641981699,0.749993567112239,0.9305367292665897,0.8909383315553401,0.9123220209358409,0.6710425978138574,0.7984672161137846,0.6238074450627027,0.6831360396796732,0.8779158569552892,0.5508756730622272,0.7133331217809984,0.9154416432087119,0.979798623265243,1.1606462153411192,1.3572923936527899,1.3292704972988798,1.0604796817766138,1.144240773167328,1.4263165256578425,1.1752192312046463,1.1133245123139228,1.2981337913581796,1.331369920857064,1.131563168803132,1.2128284952191273,1.3627206418992805,1.3430496185539313,1.2091789640125667,1.2581961163114173,1.1096092129346962,1.1160041337751239,1.0790440043445841,1.0968841211319125,1.0085651805605014,0.9048500721763191,0.9750071761116585,0.8845046644821317,0.9034096131598914,0.7383100491413319,0.7485803598618569,0.8197849083977516,0.6921485691968855,0.6224266466161026,0.7480629467217979,0.7318329522747599,0.6930954678317267,0.6794697434460357,0.8368974520534687,1.0528498688612642,0.9659029038961564,0.704533968160836,0.6233651666984145,0.6198153858679217,0.8003567456290219,0.6409603159028848,0.6541469056475415,0.7419614418348545,0.5441475012606343,0.44371031976117375,0.4509836042829366,0.4135584423481105,0.48098815785140503,0.9235149587105185,1.4850991351262,1.6189040132320456,0.9753310283898233,1.3504665674250311,2.041693731007431,1.400026627182549,1.0420259456093688,1.8847105841413243,2.402681295012528,4.239281587542971,5.72436311276521,5.47855358703161],[0.4835994901948269,0.42355830304688763,0.5085889483038739,0.34901138886902666,0.3642274470959704,0.4795845125198599,0.31331677812973785,0.3681476516786181,0.2868335254462337,0.24575133170358576,0.2749484799031762,0.37063108656778787,0.30627161716724904,0.32417011159731196,0.5090249151155659,0.4369137719391482,0.4682212653840186,0.5203808045131584,0.5547253831747766,0.5343261834769983,0.5715849954738729,0.5539580880282035,0.7014203277908054,0.9144435758920544,0.6415291345216686,0.6096462033634344,0.6070485085612479,0.5167121447693949,0.4692164925082981,0.45955621321487433,0.5596679134638288,0.49203766431591234,0.6392970952659935,0.6365577305764966,0.5384195886631903,0.5144420624666164,0.47186465664831634,0.4767077481120423,0.4483760912264018,0.42238536295046636,0.5083225707203439,0.573343340096276,0.5329830340147776,0.6195330136250717,0.9412809253752362,1.3589797443760896,1.36013778707021,0.7841073902428662,0.7028964534290739,0.7957854534524527,0.7152158071529933,0.6181431944177092,0.5885005002784589,0.5232762861733639,0.9457657234924274,0.5877083412741928,0.6236504709630645,0.650001496050529,0.7752109171664103,0.874068668438218,0.6755751837586431,0.6575863928926579,0.6610147151940733,0.8302549743691804,0.6372882174542249,0.6047788926327657,0.8375154263355838,0.639310945216576,0.7382212610388842,0.6523391438244286,0.9029048377055052,1.352450484977055,0.8352542082355202,0.9097813710712254,0.6950617081060974,1.1452303696550459,0.6316228203901223,0.6570827948423255,0.6126856141424413,0.6191594641067113,0.6358094707432745,0.5861868215301,0.8208517064065572,0.42256084688808393,0.3936646987659784,0.41604599970256817,0.5217785550615441,0.612250933400112,0.545142619945735,0.700789834284559,0.6507491550968203,0.7664905084206576,0.6936641622455462,0.6797022055912313,0.6168738809012466,0.7153675424524577,0.6567927983432962,0.5551365724410053,0.4603600158522768,0.7350442688165668,0.4418325134324228,0.6014816154055287,0.4429296165110054,0.47584270668946416,0.58975509041559,0.5316325964771288,0.7000347523478009,0.49728082903528725,0.5458538409806939,0.7912748926393742,0.4891947674991615,0.31011812914122416,0.3071464900134743,0.3149774451946573,0.3498676119422588,0.36622550883352223,0.48693871317701587,0.4797541324002083,0.7760784088087872,0.670698171823023,0.5967209216996643,0.4607570687258513,0.39999661669713593,0.3219741897800491,0.2998928596275057,0.3262087727769991,0.3757292432188168,0.33348799829155995,0.3467674019372902,0.4188832078751197,0.3710110495437129,0.4550314210838327,0.3272865268015488,0.4856383423215338,0.32675571265714354,0.32726629586616984,0.5168972074698676,0.3649425080073857,0.451204693587496,0.4005117681621236,0.4950735535315714,0.5426286384995301,0.5449798918775666,0.45902057104641675,0.44691605869782,0.4388941338437332,0.37397187438971996,0.3751008304484829,0.30639728022199797,0.3447806653717595,0.4246841646906894,0.4638673310886647,0.702198724739672,1.5906949847548641,1.1391198573116859,0.5947257908999576,0.409508574214938,0.43322609815439633,0.39216898023075036,0.38992907397155785,0.3627280815622084,0.36060922549846725,0.35945502133756646,0.3530244591899672,0.4461589097553432,0.5151696310242307,0.3909054295938246,0.4334672726723719,0.4529667228041587,0.4518172602670336,0.38889930453958815,0.3483356574802638,0.36071480489515834,0.3494283530235134,0.3133099154806033,0.4178961701099849,0.4378916776805051,0.689165884488084,0.38477541547463684,0.44534604743880524,0.34092445784724545,0.36528230402939044,0.35059667924745663,0.37172864807175116,0.39762845797018986,0.4268006994947532,0.4879415682978008,0.6086409522860897,0.8648049069299548,0.5761629531409349,0.6598099975325471,0.6394040551365289,0.49446086017038,0.4296140463421054,0.37390561056691973,0.40287162344658395,0.4707757639553861,0.389603824426712,0.40721223142667823,0.4959244707416626,0.5541942045598418,0.6808422007866869,0.5304378656509778,0.556568560918082,0.7432427301736253,0.765393407332332,0.5736262880710795,0.6841359436413034,0.8823630079636613,0.7768087635523818,0.7941122202262451,0.9266966286434283,1.0405696363404733,0.9378320640342209,0.9370374674731684,0.857185952371438,1.0586119254495592,0.7225272108448771,0.7692717889411681,0.859256910746726,0.81691231380488,1.1906825815141582,0.9543667107885684,1.5897635332995783,1.4633303546365035,1.0916504439459445,1.0409951029140372,1.1603484762112828,0.6763358559139859,0.6729315311749666,0.8793321299346142,0.8265158786100678,0.8800249356284686,0.6408485774444226,0.7991856459474131,0.6030782743975148,0.664882732778221,0.8605138000147619,0.510750713160651,0.6529903338658898,0.8332644662100666,0.9184743028984914,1.0878731790892797,1.259528746713997,1.254380967861536,0.9877408535787209,1.044623457037177,1.3372291117234694,1.1026248634270077,1.0227927168985476,1.1903145679181402,1.2302011762873628,1.03923729076975,1.1220600573634352,1.2794445716662426,1.2762161222112414,1.144376655784921,1.1894006577704004,1.0377744373244762,1.0285449503530482,0.9940378044884921,1.008954423442225,0.9275767216799351,0.8417561490189976,0.9222515823709285,0.8282025665851176,0.8523397972772268,0.6889412442194034,0.6962894674327322,0.8232768514263665,0.6837647727849897,0.603824898595297,0.7017327597211056,0.7276827906514707,0.6905852814401262,0.6708676797790264,0.8643842413056321,1.0198942663427624,1.014831541776184,0.7411044639520796,0.6171489229709999,0.6117302169790122,0.7883530409174558,0.6410169529082136,0.6725010141582456,0.7333932842995068,0.5110093318681531,0.42551185493655236,0.4094451368493709,0.3850733112950712,0.4176928033376708,0.8862094416517537,1.4331671535382255,1.548721387878959,0.9639547410704237,1.3273611971270252,1.9886477908850644,1.392979292521384,1.0347960989797254,1.9130922866371691,2.320124185619097,4.095660028971372,5.480512939014217,5.172195962621059],[0.5128751286561936,0.43637089510650695,0.5562072163738236,0.35998485926761653,0.37310557383257625,0.5095662397774849,0.31736264663505626,0.4031049908139197,0.3171278860013452,0.2918567742026338,0.3760832366568463,0.47834119205168973,0.37204889373739997,0.36775535606667875,0.5373570859290379,0.4456496847805022,0.47286889633014256,0.49750258517633733,0.4856524910954987,0.4772871223189806,0.4988420497973617,0.49569623330009793,0.6263678621085108,0.8219546915161817,0.5911454089516293,0.5493503904451006,0.5395561936373576,0.4750289946044733,0.4641650665266009,0.47337349231440534,0.5286846855183976,0.5124369355719193,0.5873418420968174,0.6107423034649742,0.5140175732497437,0.5001859060978405,0.48365904875365867,0.4692568407705641,0.4399202938969147,0.4066569266654883,0.47679753538497127,0.5349199981402131,0.4925696714959765,0.5865705233858826,0.8928554298023863,1.3386009489053492,1.3033775910621834,0.7532374807640135,0.6860004305163796,0.7677434704577111,0.69150011495442,0.5878884845361806,0.5506998197938996,0.4837456625246777,0.9429250606860747,0.5354235516066743,0.5970552614523442,0.5993645084714013,0.7338274397504283,0.8123255161714821,0.6108901432204565,0.6125406997738465,0.5940349739638965,0.7125622842056949,0.549440034051375,0.5448330600478646,0.7962429712422089,0.5913460505442113,0.6643029317302304,0.5941248039873686,0.8602425588177832,1.303583124394601,0.7718197933414827,0.79522960848294,0.6379962139856326,0.9781204041361711,0.5695876154349299,0.5867739122823732,0.5664653668176218,0.5658897260677377,0.595122768547818,0.5480226411999471,0.8292262429354447,0.414337052397667,0.3997883316612416,0.43198192969754634,0.48208136044572264,0.6145292526811169,0.499755332657775,0.6378764428152206,0.5938616956799126,0.6801170135764414,0.633128376771009,0.640446312627405,0.5951374675368768,0.6912462008196032,0.6830409066902045,0.5612779595987748,0.49851247016418726,0.7581910238976766,0.4704469074850855,0.6261000549235431,0.4795517356909523,0.4993189022730652,0.6248609940311506,0.5529461457875566,0.7475369711085152,0.5550272269443092,0.6080781910648395,0.8137410343487839,0.5452383993226597,0.37397080768901275,0.3179551497841215,0.31642554906708487,0.34826330356087365,0.3537966867676356,0.440769725828722,0.39385616953566077,0.636525846810714,0.6030084303960538,0.5290376816296015,0.4286360065264937,0.3690887727238016,0.3319986504799382,0.32562002890297315,0.3688133902444451,0.43792867445202976,0.3798622630404224,0.4100835214444404,0.4772500600205845,0.42080900734300264,0.5092067067581995,0.36515234565845195,0.5296482093233578,0.3500443231097264,0.3484087196523459,0.5285165606227162,0.36709491530863064,0.42524906821763153,0.37204844164499484,0.3831546226863073,0.4527783687743554,0.4911968299735235,0.40868742035152433,0.39968508163333494,0.41554121970907004,0.3544090020100608,0.3920491862399244,0.3329520646467983,0.35586108655148585,0.43884221371963006,0.4867282275371476,0.7440918534185377,1.5800494343103644,1.097207887103035,0.5919408085486839,0.4450910493883037,0.456691462366201,0.41038864113693474,0.43102594325586313,0.35417772935720077,0.38617910078361706,0.3401068430433767,0.34033021854548834,0.41004020704316013,0.47968406270137187,0.36630879205179484,0.4269241193403217,0.4626563026422112,0.44129345107887574,0.37000930642626245,0.3324882523920673,0.3514438038405317,0.3661002969836833,0.327801869388673,0.4315111535922104,0.4309189946669949,0.6928680445155329,0.40727689679902973,0.45430551357554694,0.3640606165560759,0.3871049298829463,0.36678711463851976,0.38042147901683687,0.3815761864004154,0.42734573013425414,0.4684386738555283,0.6105708332134566,0.8252482907738308,0.5329880827997704,0.5896058187520317,0.5660508495635145,0.4580841522709749,0.41224741772131324,0.398970773134881,0.45715869234392714,0.5134448541204645,0.4572756238724571,0.49250754876024905,0.5217022646981639,0.6253524407102984,0.7184502735245292,0.5850322174830629,0.6366821032371736,0.8191026496977589,0.8221329160063996,0.6515964517589732,0.7690364907302163,0.9420818093398695,0.8375989279998679,0.8517422138477264,0.9758914963878343,1.0608299228555547,0.973968920350186,0.9815326580499305,0.9147155820300469,1.1345493551917414,0.8017512636107575,0.8585480507802096,0.9411659663952819,0.9086052486244557,1.2822482569627178,1.0758408614363504,1.664536725570746,1.5251810004117596,1.1606051061376508,1.0993934868807573,1.2327361220686857,0.7454611817220763,0.780594504635635,0.9738700241390678,0.9417755718508223,1.0293243950675168,0.7760552870950753,0.8247264311176302,0.722916816348739,0.7527117236459697,0.7972376297807525,0.5936843821121727,0.7075144361773327,0.9004265705300278,0.9831791565691789,1.1085735208694227,1.270725675012564,1.2477370385407556,1.0292457524568788,1.0775545031905325,1.3306883017551254,1.1138335481291912,1.0671518895227294,1.2219656407203436,1.2594852558473075,1.0824537785431205,1.1689299623504874,1.311092043506181,1.2998498372462777,1.1798342578474352,1.2224212860158057,1.0960026377770606,1.0849060260789727,1.0543438976547261,1.0699376693600233,1.0049016278760485,0.9218105601520289,0.9902559828502532,0.9169138702550609,0.9411407662524298,0.7797268589395523,0.8080271394630273,0.9085263173171921,0.7607286441229529,0.7067064946629557,0.7812922720856693,0.8111879126890988,0.7239430844507683,0.720798347304943,0.8561108525925099,1.0203901780881013,1.0633892529581601,0.7703632991671844,0.6792076099534575,0.672828506103462,0.8232301588311958,0.6885377399889655,0.6994225983299017,0.7775642915662188,0.5947029548319301,0.4739606802690791,0.47511796958513386,0.44067870572289314,0.4513815840103556,0.9364729430651576,1.494460028305476,1.5372381206781645,0.9888343153777037,1.3977857415203538,1.985576071850254,1.3462317167634936,1.04438670109868,1.9381951432083857,2.289737078715418,3.9946683500007003,5.272493318995365,4.900396903335028],[0.48264170733741185,0.38894057927433745,0.5551493167248259,0.32918799079917443,0.3695340508912103,0.5182414220461546,0.28891312975593286,0.3765396000105614,0.27982269664855414,0.2870210587982914,0.39841388025675933,0.48369853090250475,0.38942487227502987,0.401696196691895,0.6214103824805043,0.5178770205396972,0.5113545576628005,0.5831982575818349,0.5687903508656315,0.5641090014751063,0.592745505594182,0.5767410001294946,0.7066875520351853,0.8557268779229149,0.6440460061381243,0.6039088512113994,0.6114812080014591,0.5425632092393429,0.52588897387532,0.5395674644920159,0.6497417261974757,0.5984019457068646,0.7025354716687964,0.7457442737477594,0.6340199613979471,0.6005388975184104,0.5530799344075162,0.5425338505753179,0.4893950636064844,0.45549779820880726,0.5157191645789958,0.5938483865005305,0.5762008605884104,0.6023624422098165,0.8992250245947218,1.344622742456328,1.275387450160127,0.7369085039359201,0.6810293755780413,0.7477111859705228,0.7070096427588868,0.5964302654807033,0.5951747701586733,0.5193878636092673,0.9875067360507119,0.626891621860398,0.6745705038754289,0.6640176678175854,0.820717542503071,0.8521506364648894,0.7056944443340812,0.728120085549766,0.7307286959911339,0.8485799131309149,0.6719444408573627,0.6554809788609791,0.8999389592185971,0.7043171217001603,0.7571540524875633,0.7007810170873021,0.941917825399832,1.4244820310688275,0.884726079411502,0.8870969789572009,0.7832919624086158,1.060361601293057,0.7171795183670853,0.7355826861972051,0.7069612551469379,0.6871170621906316,0.6995967793629169,0.6406192821796469,0.8836198794725658,0.4502087092363533,0.4323836749227265,0.49075112575582175,0.5700735849124747,0.6479086055009703,0.6181957734891855,0.7652043792363349,0.734922997266471,0.8128586389105272,0.8052726911565801,0.8130569156546787,0.7373621324757526,0.8589319287102283,0.840304400562765,0.6803727259799351,0.5637361488855532,0.7634615535402893,0.5158025085215375,0.632753583675131,0.4956382567319732,0.49377795980351685,0.6498152402779008,0.5511591921888304,0.791875349608225,0.5665549688108155,0.6068444877805459,0.7940512480448548,0.5212967505315814,0.3199581443267257,0.2749017022031237,0.3072561059697447,0.3547933068068658,0.3637158802259041,0.4869378017674115,0.444024176834508,0.7360904264678966,0.6964163985025851,0.606388773357471,0.4810208375563361,0.39522429143177173,0.33806816798529293,0.30702116081494146,0.35608039571136074,0.42843080748870305,0.35317183049340334,0.3750749381796993,0.44984224511455195,0.4001951449866771,0.5116218310666628,0.3543798747776954,0.5400492010651291,0.322922884474756,0.31890846677132634,0.5256297596507348,0.34605512327458304,0.42239974220650733,0.3648639556737753,0.41973463591197974,0.45972886638404364,0.5102065699470137,0.42986910099552783,0.4269725364756151,0.44749635463198123,0.3775471025105959,0.3885476343975677,0.3125110801431894,0.32593230943508605,0.40652661306790844,0.4383454280654596,0.7750844055926428,1.601660304714997,1.0182751606126725,0.5998424942680763,0.43065623720647744,0.4425653488964637,0.41401942834580296,0.4070255147971731,0.32455947220080694,0.39936121302116556,0.34045328605041414,0.3545046451745872,0.4033718895287732,0.4669785560245662,0.33785280909639726,0.3864017590719286,0.43221817388349854,0.41220288225824775,0.3387723015544406,0.29879980739084766,0.32847155640388964,0.34381503273196606,0.3293905839915303,0.44453188830528495,0.45163595446786936,0.7543840561378438,0.42188753505914106,0.4873456333255233,0.34817722671386747,0.37109537791810127,0.35443166900692397,0.3656778408455441,0.3781019063503382,0.4225567207602607,0.47231247097332885,0.6344269045227713,0.8256120158843238,0.5025214517798962,0.5627707952974901,0.565280491764166,0.45116572667463734,0.38914397760643044,0.37651866035772513,0.4385065536800536,0.4969104148065526,0.46927430057803377,0.5005672146447793,0.5475607245937586,0.6862690267492925,0.7777500723009088,0.6165034860361024,0.6880490531637405,0.8971213994400575,0.8747772180660611,0.6904757484404687,0.8496821805290795,1.04928725050156,0.9091038758011841,0.9442312234701136,1.1065889647813516,1.1585711037863862,1.0837381495657101,1.1266168655343327,1.0267706456198054,1.2691300903155887,0.9190804873995132,0.9723742467286358,1.0937435468692709,1.061700632678901,1.3721168597378066,1.2540979815593891,1.8172637262520723,1.5962705594063469,1.259276150345418,1.1562473522087986,1.301479046454328,0.861858841974972,0.8990012216317796,1.0429426948948424,1.0168597111401367,1.1114488721459064,0.8379077000741507,0.8905869077871024,0.7576628100414668,0.7909495281521264,0.8011301922670617,0.6370852102606895,0.7305984444929053,0.9329699303364786,1.0484497403005546,1.152681555821066,1.3570455000729607,1.2889682231366237,1.0650125235724985,1.1737307536760029,1.4281846086227459,1.1575800650547377,1.1461679082264133,1.3234391143447488,1.3493916447128833,1.182858115836825,1.3145851766954177,1.4599030365171415,1.4024146598293294,1.3374683971795878,1.4067149223893185,1.2558333337780496,1.2442665452787884,1.1831305125844325,1.1973119913866719,1.160130017207049,1.0430848665055605,1.1251272428765218,1.0516185035476204,1.065212362665845,0.871267480352187,0.9341080513830708,1.0303860853918014,0.84409807564045,0.7810454276193244,0.8928403942826834,0.9035342926194941,0.7859280054705686,0.7549408580159876,0.8707865375366037,0.9747691940727312,1.1254059834995032,0.8100373977817257,0.732317086052769,0.7206274334884512,0.8388800888561735,0.6995226419412308,0.707456244194482,0.7974912982741658,0.6345565936815714,0.47087927928863627,0.47439050535344623,0.4111929177907585,0.4465137602376179,0.9669810696672886,1.5777875466643627,1.528726647138849,0.9513899281011624,1.4842787340895247,2.0093248522280707,1.175499667374531,1.0296615685058095,2.017266932503851,2.3218159077874265,3.88181578122394,5.4451683469791865,5.195501966115524],[0.6368381227549417,0.49640934428666744,0.673004679811307,0.4334826802810682,0.4426565734376106,0.563788057186511,0.3485128910241315,0.4280932775873746,0.2997349722624154,0.31492991516389496,0.45349966619421,0.5831146171626981,0.45228383087872404,0.419719045256126,0.6877948571816194,0.5885274848585863,0.5514906874919085,0.617781157720742,0.5767221419356149,0.5948735413453089,0.6114979422273673,0.6109683715851806,0.6867505525709031,0.7834572914416907,0.6531056163997819,0.5926320116957458,0.6317610807685997,0.5682110266194967,0.5817296331812192,0.6159750467472455,0.7278324298314358,0.7131979558859866,0.8149262018645524,0.8629091755279235,0.7440727664212282,0.6739424260693417,0.6513967344539962,0.6035389045463461,0.5306868961039266,0.5138850200877333,0.5189804486627708,0.6078481860171675,0.6248420137571794,0.5992592027087866,0.8513072631692568,1.3162779046677424,1.1997795822394763,0.7094627210308195,0.673012783484163,0.7298831261929327,0.7510975036715857,0.5975384999532662,0.6295244926270779,0.5439417299897901,1.0335146601131233,0.6742452539002445,0.7246315314873515,0.7110013298478676,0.8668732661760666,0.865076128615689,0.747058967357774,0.8069220283120185,0.8014879603532948,0.8636950402203346,0.7115224188834611,0.7050724143210829,0.9100787641987705,0.7471116402488086,0.7688894781072128,0.7409876956777431,0.9668487027241353,1.4236609554917852,0.91730519296655,0.8763181132880447,0.8468224093916119,1.0722253253289058,0.7923207675101005,0.8248705358686872,0.7998184728439004,0.767800904385393,0.8060967061968842,0.7311937259823589,0.946207016355963,0.5572326078630913,0.5110687683976638,0.5672580452887351,0.6408296358140029,0.7602080940124253,0.6994994286182198,0.8755254483907398,0.8294086851609969,0.8916202435610009,0.9156509369277313,0.9338563713755257,0.8372587795748314,0.9715823396492381,0.9607205618901099,0.8134287146814144,0.705183297472886,0.857781492996911,0.665988578331917,0.7154373623323257,0.6148462013977987,0.5694819436579737,0.7464386740302874,0.6128104569096051,0.8753250993265159,0.6804279518789338,0.6885417423397833,0.8287942471331646,0.5845730061287014,0.38438819125183443,0.32599912003404125,0.3622064688163575,0.3953291959417768,0.3628924583447949,0.4826913918478129,0.4137711134757605,0.6669003222230191,0.6873524087608311,0.577982380958066,0.46163363059659834,0.36212618582663214,0.3319650653153369,0.3293696525904899,0.396532525570906,0.47547781188635424,0.41734616936523156,0.45065960040645753,0.5145253578625903,0.49408694893323973,0.6224902737626764,0.4815590989596145,0.6254868362113097,0.41869337620267166,0.3857234156314113,0.5761592091482367,0.37447486855887013,0.42026092074675164,0.3529244758429845,0.41688607587156146,0.4386471239038557,0.4646910518293399,0.39585248863551525,0.4290141085679544,0.46911198778440505,0.3979153589623477,0.4487371625832419,0.3824945123201637,0.3813723377233935,0.47604016241518016,0.47667689046720063,0.8507439839826199,1.4797011605393697,0.9350838517675347,0.6787270820380024,0.544885883629138,0.5331689613697491,0.514776518553697,0.48685803950794454,0.3735485582770961,0.45426617244843376,0.39044724322770313,0.41549613392348095,0.43843608849420385,0.46601677691239185,0.38821872351910036,0.4494012065549836,0.5169389032051984,0.49148350861999507,0.41096079678867387,0.33132419994247203,0.3911338777394289,0.4431486696142412,0.4197710737332218,0.5214434604902953,0.5302824381922066,0.834134833380013,0.5205516453888808,0.5770209893734669,0.4456487458908822,0.46691755500615534,0.4741714206470147,0.4769540246178207,0.45331353660224133,0.5123827445859755,0.5193306076460612,0.673931981943953,0.8299556635880699,0.5680790428894639,0.5939731114470727,0.5530104376031467,0.5033815840492668,0.4736947356667902,0.4959699119324103,0.548221417549465,0.5699242903938523,0.607720527283265,0.5931498927510285,0.6341805173748608,0.8050095477355628,0.8600258124838979,0.6879714812943643,0.7976888082752579,1.011737006606785,0.9479312416392296,0.8168106783164684,0.9867921667252839,1.1743460987834529,1.0168504069875821,1.095870445452754,1.2643294275732733,1.2635037140338072,1.2363909498298935,1.3196110566317707,1.2225929009214862,1.4285391094979922,1.1277525125024739,1.1532948531947822,1.2866338958151138,1.2628152694745751,1.4750618377827627,1.4738274672211504,1.961372234040239,1.6825368655246344,1.373998598795036,1.2189975496341112,1.3803885378284637,1.0349821000865473,1.095298717727548,1.1547592340801924,1.152832641534922,1.289886984889686,0.9869259721551641,1.0054106942097338,0.9504491472553749,0.9299817936957773,0.8627711232002272,0.7745178936667115,0.8294154391326971,0.9873867224764343,1.1219197515697306,1.1852534019024157,1.4480299982552909,1.3037132646544636,1.104598626039281,1.2629979236943643,1.490694217212122,1.1886959308841276,1.2273993229945346,1.4031659702582338,1.409627703154593,1.2792240354420885,1.4476916240105762,1.5779819404048787,1.486673600810852,1.480961648612434,1.5722352297355364,1.4221282504422394,1.4075277703058138,1.32817545716156,1.3484333582420185,1.3422089198366265,1.206918925537142,1.299744487451859,1.2412315283340167,1.2490713560389357,1.045247550055322,1.1456286875342656,1.2186251264031887,1.0202821513961795,0.9555342470090477,1.109591779718283,1.0830328102248492,0.9458536864372721,0.9215002498684254,1.0293686541468965,1.0515922029413245,1.2800432013069314,0.960353117626432,0.8991515018599874,0.8681995572162052,0.9376804032060492,0.8160738680696958,0.8148644280963288,0.8889500505024069,0.7969935224682523,0.5744202163740155,0.5601907096093522,0.4737809936299561,0.5131408103896979,1.0076071545303351,1.6292690343995293,1.4603704600984124,0.9095508986346604,1.5431489017304774,1.8944911864022425,0.9378737186624085,0.989399693875572,1.9541128466253743,2.148225322943454,3.401796560368222,5.194753496246399,5.057301852221436],[0.5245262870553978,0.42664587657458075,0.5990502664475744,0.3784901217792248,0.4680497808988418,0.5480571688841432,0.3196310921083503,0.37947517677899195,0.29954209956544925,0.30966828311603034,0.43247613435710136,0.5323852944573794,0.4113242302627275,0.40543366153175875,0.6295520351956385,0.5379476632052262,0.5122660426104814,0.5668682539455658,0.5361589983186713,0.546984762605534,0.5710391173341619,0.5692123909615351,0.6549542401597096,0.8050733771597806,0.621460261202898,0.5726118730233966,0.5837460223461378,0.5129285899768324,0.5168999149889981,0.5584001136056317,0.6691892570403506,0.6430647138217472,0.7591694732463212,0.8058172228741086,0.6751571386871184,0.616633998215128,0.5806808951993114,0.5372881097908185,0.48205644137538445,0.45452193632102494,0.4764359503546525,0.5685178962982265,0.5674411467898611,0.591072685783164,0.8852846681575979,1.3406343206399811,1.281825275626406,0.7364930025496635,0.6710982119262744,0.7381751401289162,0.738997417532646,0.5876508203856217,0.5729633420943392,0.5116287406295555,0.9993344853183327,0.6220241270873375,0.6627779089539907,0.6800976094522577,0.8347799726861582,0.8576518389309586,0.7026978956105706,0.7403191647789559,0.7534206246012586,0.8506020173111603,0.6694534920288557,0.666157383675144,0.8897880766468609,0.701466032747144,0.7511629938714174,0.6977845776036401,0.926494191285436,1.418132244262377,0.8824023568616683,0.8875630757868898,0.8015660389728883,1.0759398134520406,0.7442312404927596,0.7733104451015744,0.7387245314649101,0.708199909102215,0.735555752136248,0.6637700514672586,0.9140588348772518,0.47843131000109806,0.46061659096155866,0.5076587215927284,0.5785553244465911,0.6814880422699382,0.6347878689900153,0.8175675676218832,0.7777417547966698,0.8445181246901303,0.8629946450120297,0.8751349341637289,0.7766131448548272,0.9134335071109907,0.8850608927557733,0.7434626868964596,0.6350234941311899,0.8216600833929817,0.5962028813400485,0.6848514524872451,0.5503694623314316,0.5305302636002306,0.6890874082337415,0.5944146787828825,0.858403245828392,0.6719000618321035,0.7047711452462619,0.8564979187861376,0.6226031790744491,0.38408716781342656,0.29410454104960054,0.33120257096155725,0.3654828886579027,0.3610763618542749,0.46591392208571863,0.39533526692744986,0.6819177201695592,0.6560708311502929,0.5476533802266562,0.44551405624815793,0.3855607803863324,0.33097968669639044,0.3202176762023901,0.4105866551395907,0.4886624885308199,0.44852321867321854,0.4572386870725147,0.5073571312303289,0.4920003705001658,0.6034848021041718,0.45893477903542856,0.6022690319232986,0.39731229618851227,0.3860143249266337,0.592515901278538,0.39692104170737763,0.40930382021774087,0.32891162568311133,0.3815284759209015,0.4514549646815982,0.5012721327711332,0.3990074363979691,0.39165899652563085,0.4232284950854933,0.3656485738643183,0.37817364158324207,0.33490558098662565,0.34593974071511374,0.43467946161354015,0.4379138453292309,0.7998369294198305,1.4703623844743356,0.9504971268561448,0.6344728419991598,0.49014615898501784,0.4752650972933282,0.4599403237677453,0.41699711337218626,0.33956927393230274,0.3983996924999012,0.34017644464354013,0.363514222372752,0.3741263661943248,0.4559981927633927,0.36534398152453973,0.44065927769957824,0.5329018848141914,0.4834370110416707,0.40319153575412087,0.3330484050013585,0.3363738794426537,0.3709296220202815,0.3539276851255171,0.48492513281539384,0.48334139612005017,0.792073648954427,0.4492991306847067,0.5188629802281933,0.39359476605812466,0.41991838835794465,0.42743888162137256,0.44044495588020444,0.40768412545137794,0.4482626239594625,0.48485455828162605,0.6264373904410394,0.8276027974517135,0.5185069329493732,0.5931571219266509,0.5465167591099801,0.49897373973333986,0.48390755739444696,0.4850680449109759,0.5406648617357029,0.5858470683244869,0.6064748720661716,0.6334190996061946,0.6676498907300934,0.835450899209851,0.8828234026289267,0.7254541045659616,0.8263830485322893,1.0328997432262728,0.9783700686478698,0.7906157166951696,0.9986944262608864,1.1866833187923649,1.024511218692042,1.0986021686444425,1.275353570306009,1.264029882599174,1.2197347924046507,1.311708950510652,1.210388281811728,1.4339807751230267,1.139037004175017,1.1591368916410472,1.2908282851331065,1.2649109856597,1.4057252920843941,1.551987678082593,1.9816301411084372,1.6816729461561604,1.370927023295333,1.2290640123376957,1.3601142047833514,1.0200255609112616,1.1058053343614602,1.1858151286464913,1.1730174726417064,1.3358470581529212,1.0290862265645881,1.0072535256182291,0.9636011694847494,0.9351535444980591,0.8162306615742261,0.775821199173701,0.8457666609513746,1.0206350806456275,1.144379192305567,1.1930814142128123,1.431189656115081,1.292098153368774,1.1215435088230103,1.2603436656657463,1.4679833424913236,1.2003788346545199,1.2283296673651152,1.3953771616577195,1.4073212639007797,1.28449948102161,1.4450991908723814,1.5750647573030732,1.4958017478832284,1.498089991814272,1.5928170376916935,1.4356894039649877,1.4103401864198166,1.328142519369825,1.339922270691043,1.3409583744161258,1.2146080910388766,1.2963868019241107,1.2512003824763314,1.2569928861568656,1.0536666978374947,1.1501243489449737,1.2642592074000727,1.0309912207946275,0.9594178356033853,1.1104994929462983,1.0780958421740696,0.9380811075071162,0.9028257841662697,1.0175724342548347,1.0192754935135835,1.3632240884603908,0.9527745916408276,0.8890690338812046,0.8602851607354258,0.9238112128659339,0.8185622436368519,0.8178061938304622,0.9072806404359078,0.7778291470685905,0.5821329027947885,0.5855978299970341,0.49565475086049887,0.538448046555178,1.0435408683118372,1.624098959245213,1.45054131330003,0.9853143909421991,1.5560419916072785,1.873915354689234,1.02997111080473,1.0216825814591455,2.0134112054251982,2.033502107439408,3.325118883068921,5.009375303978517,4.645227634022744],[0.5820609901606769,0.4658822502492595,0.6241017437969454,0.3960334119393384,0.4766873482080815,0.5814478226102118,0.35101973691827193,0.4276496076584848,0.313673311454222,0.30807615360056756,0.4386518716163498,0.5578511633821276,0.4364569527873342,0.41999405043302784,0.6950099799981102,0.5965377322563574,0.5405710281888676,0.622196096927698,0.5826986883967592,0.5945206755089228,0.6196069216565916,0.618280966223747,0.6826545753170788,0.8118400306339415,0.6496865231371626,0.6001090009408174,0.6203832307328392,0.5502087405195805,0.5725385668459427,0.6161023134476638,0.7475850234709273,0.7225792562593211,0.8513740550985233,0.9007868374169538,0.7628513818921612,0.6884089007482047,0.6592824612339805,0.5981206534966688,0.5290221530137279,0.5089415806405054,0.5179054221193156,0.6060612414651504,0.6166172816926476,0.6042218306603354,0.8751433310259978,1.3363940321173995,1.2497980493031768,0.7405651777393355,0.6788159591146549,0.727295117038033,0.7268007412910897,0.5934492397263702,0.6304997475742709,0.5570030962169704,1.0335436472021482,0.6821296187388173,0.7208962753825874,0.7297155258283747,0.8739214241910106,0.8545067034852447,0.7508383178679046,0.8314582802226775,0.8367364710500054,0.9036155020399919,0.7340285911715851,0.7369754638627867,0.9273964832876351,0.7586252884479263,0.7965067666295257,0.7542254792836207,0.9764634818938331,1.486223432619616,0.9452861425501764,0.9293530564843318,0.8700575962256251,1.0899165072353099,0.8228102634312621,0.8708774401867737,0.8267507515588369,0.7803394710573789,0.8184745813846377,0.7456938342988237,0.9555592754993855,0.5491702075575036,0.5010407392538636,0.5729895832377337,0.6416129245149269,0.7573697276289902,0.7129614643252398,0.9030343555771575,0.8517870070847735,0.9417773654706282,0.9677119715847126,0.9759904173286751,0.8567807827469086,0.9966820789283152,0.9642154638003997,0.8245686837480776,0.7079620079258759,0.8602237745758587,0.6813257805722106,0.7460675341355257,0.617132513500475,0.5907230435321215,0.7417271236186347,0.6353671025015444,0.9136570002820283,0.7509521442529488,0.765360203194397,0.8983799630774113,0.6659130391475503,0.4380368609459518,0.3408113757852817,0.3424944605312345,0.3760110963884723,0.34950577216213335,0.4769583661478183,0.38319355331260174,0.7035448163475038,0.6916886305764223,0.5639174319449328,0.456697731397004,0.353505901897716,0.30406772751873773,0.30583957647795323,0.42480300481098165,0.525022368685287,0.47122724738506705,0.5008848751654715,0.5571214142323971,0.5471669012081379,0.6702038541761643,0.518101804799077,0.6857818545032148,0.43923760793498523,0.40336567605984547,0.6128229901798607,0.387523123871428,0.4031902141669718,0.3272110250379995,0.3624863956598766,0.4302011087352117,0.47429229829872255,0.3868284123287127,0.4119337782696745,0.46326492639355277,0.38590037318260256,0.4319244233279688,0.37891629353507783,0.40258703484294395,0.4955071416558102,0.4899917634323688,0.8626531146513126,1.4045795081469878,0.887145058874403,0.6857558042438174,0.5517973253728539,0.5563954683779229,0.5223983615655339,0.46227977815246435,0.3602252369504853,0.442819793674328,0.35569413260324456,0.3859371948026752,0.3937479282489475,0.44705423339825423,0.36906804655302616,0.421768582827511,0.5260494379424914,0.46135386409023676,0.4082089601957065,0.3326105843830956,0.3667028926346053,0.4183506369093773,0.4113796176001708,0.5365678017676777,0.5458826125639578,0.859277975628866,0.5351591244671801,0.6074938150549876,0.4408541065700301,0.4637044048041802,0.4730830801136162,0.4736836681347817,0.43786292406046895,0.48207190952416007,0.503014476569729,0.6207415585905942,0.8196057198648803,0.5093256617756969,0.5679719412145178,0.5577826206711812,0.5173095953335488,0.49963568487685356,0.5301617634217487,0.5969957148513404,0.6316425843062414,0.6790504031104846,0.6932447143359871,0.7222300530194647,0.9188787072890192,0.9512437076780563,0.7797809598013942,0.8958167163063772,1.118247696490221,1.0273662367599705,0.8368598109351035,1.0845116953289995,1.275541450794524,1.0797956173807683,1.1794816907359527,1.379980931458181,1.318139171229161,1.2965871313910011,1.4299922072490578,1.311048409243629,1.5554756514565584,1.255281387227016,1.2737566857717648,1.4313691842152647,1.4247417723098077,1.5347952178834066,1.7389839231238884,2.1044437894475054,1.7859924370178584,1.5170887101983936,1.330717005228167,1.487155305389667,1.1662431659289174,1.2562320468470523,1.291607506315558,1.2913873220776058,1.4531214123955523,1.1388616852438267,1.1362090924757848,1.0726101473969656,1.0098967256988747,0.8524193924381471,0.8537567732445159,0.9236689440653544,1.1005482083151585,1.2321867363068406,1.2678091021067535,1.5114785125379484,1.356017194418286,1.197980020727307,1.3731852706101506,1.5606875743157445,1.2652088009122848,1.3083529811881458,1.4881431049787213,1.4823769446700952,1.3563616661588722,1.5668181407316832,1.6933413999127176,1.5670338065647886,1.6123765004896287,1.738551419209156,1.5731630537070274,1.5594998941751632,1.4577604170928677,1.4747550450839344,1.4911383171778538,1.3321654583053502,1.4220642700233015,1.3940906876049888,1.387932713287973,1.162650324135215,1.3025829792916244,1.3920669093410796,1.1331225032867445,1.0500426046389326,1.251976311191412,1.2317848935137603,1.0500611382718803,0.9798287014987989,1.1039104929370118,1.0642647507721872,1.459263741783263,1.0222885436442828,0.9676565053272917,0.9180165045774841,0.9708462196795432,0.8718076937293594,0.8728940548538789,0.9420834859293066,0.8325931765788507,0.5938046067033446,0.633301406540636,0.5120672474572388,0.548883841483892,1.0839206714264988,1.681679281217111,1.46668035886634,0.9607214791766752,1.5918275059605669,1.8029522491040275,0.9259042047577389,0.9846635683695971,1.926370418230723,1.8660348126914945,2.974923062377616,4.831900022428765,4.542584509955423],[0.6298839594549588,0.5259550129957105,0.6399704031392132,0.4432663417956075,0.5334838503008847,0.5820248974499873,0.3700281028121835,0.43181679092289654,0.3198299080171317,0.3048810636387699,0.4269678527055397,0.5404668593540418,0.4266663091723459,0.40691456593892245,0.6572545337444529,0.5667599728329948,0.5213299549795721,0.5876407223511895,0.5552030403910411,0.5659207474723057,0.5946745525237245,0.5906707943514764,0.6868520916693944,0.8585135913997984,0.6301337807602329,0.5925630807955837,0.5848554583840763,0.5104596520584126,0.5382350413544815,0.5807590127931785,0.7103619499491045,0.6940585332558744,0.8301650342802914,0.8758813423954377,0.7296207385502238,0.6525601185788438,0.6338497678862642,0.5616015813232372,0.49309128818196957,0.4785683090403307,0.4866481207577795,0.5652274748432087,0.5673680227884699,0.597507014024084,0.8755246104426992,1.3276885150222701,1.271726406937989,0.7504269865620384,0.6804968271488663,0.7416924901771326,0.7199848416315181,0.5962675873608273,0.6081305844569441,0.5314845680174678,0.9948256309263309,0.6311603541568799,0.6754017161969901,0.6994548486334176,0.8448530559666265,0.8505840661307993,0.7264802824893194,0.7914273562229521,0.8045723473652945,0.8839574956196798,0.7147576851189481,0.7115847043079873,0.8990763247202738,0.7216570154630558,0.7787140573080205,0.7235740782057303,0.9468443854034133,1.445726250167927,0.9165000900174349,0.9375680256099495,0.8355554211963387,1.115020527135759,0.7922735326990308,0.8398183276473661,0.7897465456497723,0.7437185764282798,0.7813922698238612,0.7085312814633398,0.9421194843720021,0.5382457507562532,0.4807334614834733,0.537773419775402,0.6075007082895517,0.7441905861407327,0.6800768273093042,0.8739542749367665,0.8206622219474868,0.9216578479213448,0.9324976367818315,0.9466083250886534,0.8230545066838775,0.9634327474531102,0.9181391262180448,0.7955228946831435,0.6876093188423639,0.8592440997014825,0.6663358574456699,0.7403559597841617,0.6079304982950494,0.5681567941000873,0.7024694852408226,0.6401576908212441,0.919804406521906,0.7673542303955149,0.7887060393233294,0.888939252786462,0.6925628105996442,0.44262755307118473,0.3434497987898483,0.3474914141829877,0.3754207930010592,0.34931580030131976,0.4511650214795457,0.37672220922898203,0.6650007829722753,0.6434283648551182,0.5321163918048155,0.4355895300663324,0.37669834688307124,0.3163750934787082,0.3300031630937062,0.44691114308941954,0.5412117082636219,0.4917123657334835,0.5270579849996488,0.5567449572978312,0.571538259214379,0.6933751843067146,0.5409566533141167,0.6666746005200528,0.4524571542767163,0.41625136995425,0.6308520541124562,0.4180495203795107,0.40261511854549253,0.32545668065893746,0.39346701126871936,0.4528570409122461,0.48541939119935074,0.3769095723986823,0.3914022911293025,0.44868571247330613,0.3712501188759299,0.4183766638149548,0.35847956815586524,0.3826153112117465,0.4883108451847447,0.4847008838075414,0.8594107007764745,1.3616440592289505,0.8820964939505962,0.6731039447936588,0.5363430538361483,0.5462996367958989,0.4996297122529615,0.4513020983547877,0.34547324145270547,0.4139135019783704,0.34264117065247396,0.37227832648311965,0.39056134369814904,0.46814229775380456,0.411782333471633,0.49119047924720394,0.6135698375435451,0.5320863673573633,0.4574924258793451,0.35323444932044584,0.3603965302255123,0.40517893079381223,0.39054657061537273,0.5171474490967484,0.5245531789609144,0.8357987218863357,0.4979437628735198,0.5773656555614181,0.422068603334967,0.4743964733293876,0.48876088864297584,0.49333238656384576,0.4363321187852094,0.4805226533998111,0.5054349775763364,0.6338823509412647,0.8431969091906553,0.5471859420023312,0.6035175752456927,0.5611687187440426,0.5382084053479805,0.5350938582316845,0.5605813288804734,0.6238359109908154,0.6555814537424686,0.7137288337970167,0.7534905217209874,0.7616683414343381,0.951867969989853,0.9610094900869781,0.8073859036020418,0.9411667139196067,1.1372752270670166,1.045119475403314,0.9031987410025352,1.133929608791314,1.2943835017780108,1.10909357720141,1.226933776196491,1.4184335153272456,1.3219309563455635,1.3071174339984937,1.4937057492304475,1.3944503260534005,1.6172117013384926,1.3895696870834697,1.3585560591754255,1.5057671684836238,1.4953106763805093,1.5872124208228378,1.8746451343269934,2.1409074476171144,1.7870069234654316,1.5259367349239656,1.3262978674327868,1.4667595173249954,1.1960926169618182,1.3002204047079662,1.3109074780940306,1.3280359995175979,1.5268046684647072,1.1959199428311256,1.168001644691433,1.1759071281094184,1.085055028375354,0.8978163392375542,0.918141126348108,0.9476957886931553,1.104364605746684,1.2244984689021827,1.2362489286101739,1.4993942018294548,1.31180308557571,1.1779737331584077,1.3581168341925414,1.5166947130545532,1.235112688075603,1.2949403195581866,1.4547401535041402,1.444028556745497,1.343993863711024,1.557634266397688,1.664482851408533,1.5368200652595962,1.6204435483549273,1.7544518534412685,1.6001632035646476,1.5749850596992991,1.4635574613557476,1.486117110982834,1.5257836529067952,1.3705933583877339,1.451546211499187,1.4484029694801188,1.4474014480111934,1.220699560093167,1.3721106089563047,1.4988990535502988,1.216474830198612,1.1348771597103766,1.3315651370743495,1.3453785190516734,1.1553687905183092,1.1053440084235941,1.262741513885093,1.2163666251864407,1.5891266158011035,1.145152960882975,1.0659759633129333,1.006817484292926,1.072230735871816,0.9775149133947796,0.9858242451437719,1.0235310923661174,0.9206996566620534,0.6615812820868644,0.6901162628018759,0.5613569565368701,0.5907629541733193,1.096424388203425,1.6430298609703369,1.4067576020236352,0.9748736924106186,1.5532964476525795,1.6838082295783645,0.9075638789182848,0.9683378917932237,1.8543102514729841,1.6462370799105301,2.7463584147273448,4.507580378162775,4.138416350874163],[0.7962309347993469,0.6866513008746158,0.7519280948972874,0.5546080955151462,0.6253783468845384,0.6571835743331289,0.4764774808631356,0.5560091665111885,0.47095059827392766,0.4651784581406273,0.5899039388959186,0.7136410412358531,0.5943244406522666,0.556854728819725,0.8115464029658263,0.7421453836732795,0.6512963852284775,0.7442425402782601,0.67217275700193,0.7114100188629757,0.7272860361271049,0.7411994671596182,0.7669317412272283,0.8318713484844994,0.7241603487313908,0.6736434050425001,0.7200945294941253,0.6511140449321214,0.6974268926944821,0.761205379540027,0.8911907301688506,0.8672255067011995,1.0091765695532229,1.0556309000109105,0.9139410618802898,0.8297368541037096,0.8114291149920285,0.7401695432833822,0.6542791293465718,0.6416081916440495,0.6319148562056358,0.6921780413388208,0.7153291696816465,0.680006983466439,0.9023179894451767,1.3558947007355384,1.2376655499452018,0.7974327467547656,0.7515508892772914,0.7637431437735209,0.7761370751716906,0.6524083363359545,0.6964299768518117,0.6696699984907131,1.141853485940883,0.8138697618160662,0.8307841534392256,0.8469500382703081,0.9924940927034417,0.9764140265256848,0.8592236484275079,0.9788573381464267,0.9913367469706845,0.9964979654919002,0.8687909082317371,0.8613775269329353,1.0012016540233832,0.8691480522116742,0.8987267810466524,0.8540418680102749,1.055139749907922,1.553731899445344,1.0330993488582587,1.0355821574554545,1.00597976820383,1.1874391972589073,0.9758193563844653,1.0328830586830473,0.9825398079213998,0.9219009256991438,0.9606885786390587,0.8719744738423998,1.0232197386328554,0.670564214061472,0.6279166829379678,0.7038142397463596,0.77380428938847,0.8631864364428202,0.8568328078774049,1.051265460884103,1.0031141368626337,1.1011027627219623,1.1202460094741622,1.1242423489330804,0.9929322933811061,1.1374300404856947,1.1064631748795275,0.97576125684187,0.862841661303569,1.000466371698949,0.8473252534269241,0.8794672419308547,0.7617148621262817,0.7172385902090251,0.8410337797445113,0.7278235430770522,0.9819440114989778,0.8641993779866286,0.8873374411153608,0.9460209863104284,0.7600563433854357,0.5694554328055783,0.47770393366126723,0.47728623671048936,0.5030966695387493,0.4732361146911004,0.5914672312252173,0.49865876558869415,0.7704438083842784,0.769324577660375,0.6498883659213033,0.5685048260727978,0.47220908399072653,0.4341533593686846,0.43361754564854754,0.5639045804981524,0.6378201184087388,0.5935603055008758,0.6312000777543499,0.6640822997193753,0.6646993055255167,0.7594286585426366,0.6320713018691936,0.7720543541973184,0.5622409549486179,0.5337894339738657,0.7347580578011415,0.5389924657727909,0.5154176492619418,0.4449541124091254,0.4690796733206884,0.5069396043792208,0.5730162274417487,0.5128687000399202,0.5257250554965948,0.5734436675187077,0.5106068197423312,0.5553767190103487,0.5150255310310349,0.5166819058088169,0.6321811929686392,0.6271192743970385,0.9146992929287352,1.3209359084791539,0.939192061305376,0.8126347261633469,0.7161052564349126,0.686681994136316,0.6541547945948343,0.5857900211010062,0.5038011857300151,0.5845607001064269,0.47503879109445335,0.5163572515963837,0.4933975155861773,0.5464138453190194,0.5123459305866621,0.552020254583955,0.6497634238076333,0.5966684700147461,0.5460468348845889,0.48497237179960434,0.501827323940106,0.5546136060302096,0.5633611303681619,0.6482064695865647,0.6648477095775494,0.966210023260649,0.6648349378242296,0.6968869907558474,0.5816132410979179,0.5950134137042388,0.604685441513005,0.6095278550884164,0.5707358223048612,0.6052277334003452,0.6101168920573674,0.7200082960704409,0.8709891603887395,0.6066141939839633,0.6401089177062113,0.6345738762911742,0.6241143620567915,0.6244458143716518,0.6497507612229554,0.7078183324682278,0.7557578467419432,0.8172297597947393,0.8485505081986514,0.836743083631194,1.055403505901057,1.0675762725671198,0.8916432573257056,1.0336165148182441,1.2405886037489087,1.1228188273948614,0.9838762073229605,1.2331403155392164,1.3886560241619554,1.1906500532533806,1.3275776875030407,1.5359135786633478,1.4050428445305982,1.4134734411431358,1.6262403271959633,1.521938901080129,1.7493080236430008,1.489526987688937,1.4857589065230243,1.6536845767825168,1.6518997282084318,1.7717115588589158,2.0030866046409708,2.2465385583352204,1.9101944987587032,1.6876155145480054,1.4754135303499396,1.6487308761700414,1.363559055593253,1.4491550603453964,1.4525233671053028,1.4731579674126647,1.6314447569297275,1.3079071887022282,1.2771272832629743,1.3039551518570114,1.2042513312745557,0.9084864383859211,1.003741346778665,1.0438503938957024,1.2386213645337687,1.369993261215355,1.356142312825187,1.583936199066138,1.423589216965809,1.3098345815083678,1.4963719134720113,1.6257025830250817,1.3339386140358551,1.3893909266310602,1.5552750705522276,1.5293582222209432,1.424627312121719,1.679916659108048,1.7798239116402987,1.6239369101656753,1.7357052677119433,1.8955840976733116,1.7336420449532077,1.7210560731653157,1.5939670400204562,1.6252748455362083,1.6739854624609964,1.497247266565946,1.5765216566978248,1.5932520018035683,1.5802945791423277,1.3331760256764347,1.5228902203710617,1.6124766388700507,1.3299339466269051,1.2470524108270649,1.487297921822126,1.5070552537346174,1.2642907066656408,1.1915679276897913,1.329764207050647,1.2903155014988532,1.6430069492833876,1.222750240196374,1.165179824443137,1.0901494687466062,1.141558946347974,1.054699919919912,1.058067265905312,1.0857755202583141,0.9861578103149385,0.751815475625387,0.7745047748838443,0.639342261904513,0.6959456689939613,1.137859559047747,1.6866888942101317,1.4191669399619042,0.9704680158453928,1.5728378941215724,1.6391804530180443,0.8675773927637562,0.9613702637296598,1.7902917197706263,1.5424934531163783,2.5314804686146593,4.383554675943161,4.090275898370669],[0.9197925836657977,0.7716229073777751,0.7746796477331762,0.6115539090783433,0.6568281282057499,0.6636546327315876,0.5148248882883618,0.6585517192395153,0.5875526563166876,0.5915336205240911,0.7689701415445155,0.9190663802885127,0.7515763375520275,0.6882689973926538,0.9563420748553301,0.9155139937146742,0.8008957716203432,0.8708570104911254,0.7747563370564571,0.8339853197328386,0.8223222615947716,0.8490134871292045,0.8282322310148595,0.8740962544239849,0.8401404144368461,0.7586273433969031,0.817229752135904,0.7609957714132115,0.8289204769578963,0.9064412922689314,1.0771595526973412,1.0798354916696096,1.2236942314230468,1.2670423088582028,1.1166470494501097,1.0038532263196196,0.991985647393982,0.8757144652856222,0.7822207626990253,0.7842715017743924,0.714923898284411,0.8012700342044069,0.8408728411627284,0.7849382817522296,0.9754367021837838,1.3967844918168457,1.2512770775001743,0.8475723707246379,0.7744236087867099,0.7920036759851371,0.8836818113673869,0.784435274601013,0.8673984269753934,0.816081457573245,1.2071198123661615,0.9527396094600944,0.9657923354957781,1.0118789876311098,1.1730847654725733,1.1190282865573835,0.9575800839270837,1.1323154837852785,1.1384268921128429,1.1068435100409664,0.9847847506089235,0.9906941916359595,1.1092560211843498,0.9818308137309112,0.9856134007729608,0.9769279232028518,1.127583695227341,1.5478173961229285,1.1447510961998786,1.1148746599509811,1.162837069554925,1.4462715931851016,1.1126483728228653,1.217424753316222,1.1654036329383612,1.110037638446982,1.1290554739069252,1.052800264953382,1.1755751257507436,0.8711307190110833,0.7688565781622868,0.8789387443622155,0.9249967768474644,1.0547413944668127,1.0178585128856052,1.2533679712272767,1.1885067797483877,1.323646492699828,1.3093893488647559,1.3356103543755948,1.2000100762819832,1.3398203052427033,1.298772155906975,1.19671913515544,1.0990717232404588,1.2248719606867833,1.097997018979192,1.0353491696900334,0.9652267634760745,0.907377107146037,0.9779878794438821,0.8209818722493313,1.0188841696389743,0.9173485158120486,0.9162026242198731,0.9532116280700196,0.8006723095434776,0.6308118097549309,0.5799118336411038,0.5470476198675025,0.5965930211595561,0.5344603633582068,0.6312523340867837,0.5415953951609186,0.7698466663743639,0.8221693199341832,0.7056174181122659,0.6190637034533171,0.4985184867975481,0.4654875982494517,0.4779343385553771,0.6097102570094473,0.6549307801593416,0.6277561906809935,0.6749813110029244,0.7177264738770603,0.7111547166526899,0.817671007766443,0.7082307096199987,0.8505025316292922,0.6402431897779163,0.5916513631319162,0.7686546955264631,0.5342027001326297,0.5347029329973729,0.5067475825849002,0.4873964217557284,0.5526555449203232,0.6306399724626887,0.5754568143513946,0.6248577369664664,0.6791415900317963,0.6224981988907062,0.7070678317625426,0.6715092889017223,0.6885889937839009,0.7803693963082433,0.8254781792459154,1.1057676325327905,1.3886291003782203,1.1487652343226626,1.060224437108282,0.9341783449573056,0.8923690725032396,0.8597735280941133,0.759801831887645,0.6301440654498439,0.7173216078846166,0.5922303205168906,0.6495315351585004,0.6057401816914687,0.6255446892157935,0.5717719688271142,0.5865212132525099,0.6735321312424938,0.6171258482118099,0.5742445721411863,0.5333548550811461,0.5957747920736651,0.6634912387488918,0.7022216268675743,0.8050111112037757,0.8607472294401941,1.139666280018594,0.8179560072744082,0.8635317867840303,0.7064351940671331,0.7039979931508036,0.7020969107174473,0.6997084249201044,0.6582314546789604,0.6922253095459829,0.7180124016734669,0.8208707244914344,0.8869479258738268,0.6352972126037566,0.678132520167164,0.7183178599785832,0.7008315747764841,0.6933801388274533,0.7270808283704748,0.7833740932469424,0.7997001950816276,0.8672939336173104,0.8929895741440703,0.8785481080964476,1.0880274567017891,1.0887628949813979,0.9105857904673917,1.059775159880904,1.258444510570243,1.1200780376738804,1.0010196791604855,1.2679991473626744,1.4009354978925106,1.1945619073263138,1.3625364673082139,1.5757149711173406,1.4055498816721441,1.4534144110896647,1.7085753177967085,1.6031820926039646,1.8313130344108581,1.5931434392587893,1.556027557746615,1.7268610116213041,1.727598969536153,1.8472337317405756,2.0761524202620634,2.2729680439990285,1.9302770310725597,1.7275386435746847,1.5061141884789646,1.674487972623578,1.4201102368509588,1.4939058677038088,1.46078327111079,1.5041806752208755,1.667193418640558,1.338470229141086,1.3152440365544207,1.3726498966248564,1.261488285049915,0.9813655254816784,1.061510765726768,1.0858298081394686,1.2535712101863594,1.3666233351723698,1.3729223631321505,1.6260121433332988,1.4204766345814797,1.3260406162397291,1.521572553748706,1.6315865305265531,1.3294878155541439,1.3874394321576133,1.5465579764078636,1.5141781737170603,1.4159814592398248,1.6795494742552146,1.7656973231857902,1.6004739280503582,1.7489977184340872,1.9172765243485372,1.764703770486181,1.7440945692563816,1.6109051777222003,1.650188754880317,1.7142306350003005,1.530979475515822,1.6053327609496957,1.6476688456324768,1.6367256425149452,1.3809133526914732,1.5876098834102101,1.6872433555156015,1.4077301166228038,1.3106926701087187,1.5832387862345525,1.6027546459467084,1.361960609695873,1.2861651359931046,1.4508744680423888,1.4115883657776338,1.7568651806457667,1.333048235231463,1.2473348291852504,1.1464081448235361,1.2313929106321106,1.1315624996236195,1.143519076681099,1.133562720345696,1.04751078785429,0.7804621864026349,0.8084137592191297,0.6719325672231656,0.7188501975383035,1.11631240562284,1.6347439483157349,1.3574840587613466,0.9352669418991284,1.5136809634830406,1.4804024848908104,0.825982151230442,0.8906470277416583,1.6401883087001348,1.3066015499644927,2.227730290506685,4.032911804039375,3.7307904368299534],[0.7645521367267849,0.6508451493735083,0.7396295086117354,0.5908770331334533,0.6630976103106787,0.6652512194473139,0.4832237354435892,0.5103519400965872,0.4105576566851206,0.37263982585214867,0.45450137365669957,0.6388180898882284,0.475796506526785,0.4093642375092356,0.6602879672409213,0.5716119817795565,0.534995035216204,0.5667295968889402,0.5197434420463803,0.5468136573704864,0.5430434155206435,0.5564531203981641,0.6533156330035716,0.7458796253824735,0.6137359580208691,0.5294352537761216,0.5522835608387408,0.5083849087385695,0.5372968258430529,0.5989387209630516,0.6824274508972475,0.7269296412624163,0.8147599786556631,0.8555390489267446,0.7233486245086351,0.6419498111471618,0.6391400721759514,0.5684171331451526,0.5187187593483135,0.509182938571285,0.4969137959285369,0.5726520996138613,0.5774836430613947,0.6003154706681899,0.8527662454270665,1.3274821198060194,1.2471539336350204,0.7377705198619625,0.6878355704775787,0.7713785786589669,0.8442690105748738,0.6512240579052918,0.6197918233910767,0.5488242825779103,1.0370562159302759,0.6396990405353845,0.6804289973887783,0.6594086533066063,0.8314486437632997,0.8577204744774588,0.7094820301087895,0.7602691787728844,0.7492326237397142,0.8310549741066044,0.6625114178002829,0.6541052509850783,0.8670944078165368,0.7094574060830818,0.7251836526555195,0.6827061459397439,0.9058383212349674,1.375527182720625,0.865571119548448,0.8476802444126498,0.7978128224314901,1.0610560705294205,0.7446384009707481,0.7878773622215307,0.7591231344552131,0.7090301208966883,0.7705152475720592,0.6970880635049285,0.9283503309723493,0.5888835803552454,0.5334892431758858,0.5687435965816904,0.6136385794630482,0.7125343431375031,0.6558780060038729,0.8487072069626728,0.7911934235670001,0.8773813452498184,0.8912169047523867,0.9252346841473905,0.8134784722488525,0.9450343335724264,0.9119344604541858,0.8151083655829234,0.731930441053238,0.8752989524598637,0.719588205507754,0.7957395482429781,0.6615236795037321,0.619347868927084,0.726902504853632,0.69138647020797,0.9558111364828037,0.8554176767313824,0.8794404152867619,0.9383541462484121,0.7797676558222364,0.5418670249971518,0.44950242585938166,0.43862148450493305,0.4215151513739916,0.3966224563327451,0.4555721662067145,0.3780880793353315,0.6135778952761166,0.6393089445482874,0.526483507133563,0.44600795053676995,0.40007921533148494,0.36067604984681756,0.42267855571083496,0.5937631332478478,0.6409657277757543,0.6042343326987276,0.64688870450557,0.6505842243825116,0.6804565623590176,0.7816304879709588,0.6572842522179556,0.7689872523461493,0.5749020325728256,0.5326222259982374,0.7422799966055736,0.5444752203257007,0.47099146504046074,0.4024898352108704,0.4634264284005854,0.43476297035566763,0.4444306474342429,0.4220596613118562,0.4333946893326561,0.4750462221157996,0.4251752044222162,0.4764400558773239,0.4508671572477499,0.4639437796276817,0.5761177827152647,0.5844329860589482,0.9024795539891524,1.2803088832587952,0.8867650581310748,0.7217446821429349,0.61847266311831,0.6007985584106098,0.5487012137573172,0.5275608877555357,0.44902304935457904,0.4639973057660792,0.42114537547928355,0.444824598057762,0.4623416065504072,0.5464178171565395,0.5209665056762155,0.6004838032339705,0.7100264255521159,0.6321323282338805,0.5796239299221945,0.49692286200628205,0.4814700301801419,0.508626042762193,0.4774104579290117,0.5752532644708972,0.5630712019914088,0.8637672438376124,0.5475733621234231,0.6326833004669193,0.5066050892583335,0.5623622563397863,0.5899515784995862,0.6063826330665081,0.5525046317684987,0.5587877440274825,0.5512002022393065,0.691985687868027,0.8526800636572966,0.6288216083735916,0.660850562204101,0.6365237323660407,0.6468653087642511,0.6562424564916245,0.6840444853671941,0.7408434057955859,0.7556953976508439,0.8220324922311223,0.8512371328737129,0.8580546277832635,1.0350007872126665,1.0335503909843011,0.889482945743621,1.0167460681983749,1.1956435726186976,1.0958002566890703,0.9711876799031243,1.19652775080088,1.3365363767618141,1.1585214682802925,1.2856690658638272,1.4706539721861047,1.3545726286110291,1.359742888780507,1.5576693343381032,1.4634869285432175,1.669881143086532,1.4409789356409188,1.4266898964395218,1.5625925687976245,1.546097670473753,1.64050837383593,1.924774782013064,2.178436891337946,1.8129765188979097,1.5713662625813445,1.3880608448103036,1.52666831541705,1.2570244505552037,1.3781803548019855,1.3847240945412722,1.3979170563389587,1.6035924268105393,1.274667481113932,1.2225711730486586,1.3045332642462255,1.1827774432454947,0.9390054748310959,1.0059218895839022,1.0182308566996408,1.1836157303802164,1.2874554650097694,1.2633286498314888,1.501685407668481,1.3066730842821306,1.214784137744106,1.3901488922486351,1.5111410555655072,1.2402125434258406,1.3214374721981321,1.461392566474472,1.4461501627540547,1.3637179903197978,1.574909072105738,1.6653547608345514,1.5478210851684446,1.6491425715562327,1.7798442533615233,1.637759434448347,1.6062363539075448,1.4961056271729507,1.5231323741742668,1.5754270643464725,1.4273677583782955,1.5039602648851744,1.5101199850191065,1.5065172754571328,1.290142751527459,1.4462549116401078,1.5575215760654204,1.3016530511330453,1.2224397135074032,1.426632889207554,1.4383008486709654,1.2164613531878723,1.1597009420381386,1.302662686530555,1.2643044480918542,1.6424750282031602,1.2002431336251156,1.1365461085513935,1.072039426346875,1.1429076355659127,1.0589445358000762,1.0595301281321503,1.100732191326191,1.0067704450673602,0.766229793960061,0.7864858394078781,0.6775822154049024,0.7138614959421761,1.1412165529655687,1.6310964191747168,1.3761848462353212,0.9906207317078711,1.5394303233702695,1.5753150647452672,0.8633601106055356,0.9503486041723348,1.7748330559071335,1.445071130359328,2.5221858903345313,4.262059339523805,3.822112570230376],[0.6032018138135754,0.4663793801106146,0.625533338666089,0.42300943230915217,0.5226890314118247,0.5951704579406182,0.4046007081889427,0.4746771960806844,0.38559064064047244,0.3711628445016895,0.48482321836651715,0.654694134960427,0.49191784147314505,0.4411282124128571,0.6890035430943848,0.5997177073425143,0.5607343188384021,0.6046737827834886,0.5484395621765585,0.5776224189650024,0.5705970756835965,0.575850380256989,0.6678421601709631,0.7460535017444763,0.6356206279794032,0.557173161829052,0.5781857448195221,0.5366596104064686,0.5700027510128431,0.6175266387258047,0.7048580867096423,0.7358343403754143,0.8091316278490348,0.8537751439642018,0.7325472097536494,0.6619899532894182,0.6517500890785249,0.5898665062689713,0.5319013660907488,0.515442197753492,0.49876876643419665,0.5831326172624965,0.5909019133105515,0.5989559751563204,0.8281915560875979,1.3043844999731287,1.1843340962813942,0.7284096903064297,0.665457583762893,0.7381486935374607,0.8128739701345907,0.636823701101392,0.6269930603606919,0.5546792311474718,1.0418606293170873,0.6519836714895606,0.6956558678298377,0.6683289100947898,0.835781159255123,0.8602517789557963,0.714745660790675,0.7867329814378217,0.765536314597572,0.8298746967731856,0.676158359318788,0.6720122943939576,0.8982282590218781,0.7419000604031969,0.7440312269088603,0.7146776840949736,0.9419478145525554,1.3831968500314378,0.8825092438825624,0.8486204814065496,0.8256165354986233,1.0489113561527557,0.7634544823597278,0.7932085621488467,0.769584137475096,0.7210047506343185,0.7804869749468903,0.7048008873389069,0.9141529337895117,0.5733501103627047,0.5212671202717246,0.570490434104755,0.6226220733915927,0.7228601994175501,0.6713398067279821,0.8553888329117972,0.8054111424953524,0.8865291881569304,0.8960431676854317,0.9297905195745726,0.8260624864868825,0.9566184105747965,0.9342446556816945,0.82062578395861,0.7368734041869277,0.8476581617718802,0.7043179007583111,0.7788820524919589,0.6459709786239037,0.59589983465792,0.7178106051946419,0.6645441516936514,0.9404988585970624,0.8019502950858689,0.8153341798925018,0.9131542617466454,0.7233201088190084,0.49617361217961303,0.4016910220715875,0.4051650435855142,0.4130847092807883,0.38231144450074456,0.46462269406394385,0.37325473034000783,0.6021936887812751,0.6607973334971333,0.5396081557598451,0.455529281405993,0.37383570555023865,0.3310384103672185,0.3715893002024702,0.5107733819553775,0.5701190373402274,0.5315696754699366,0.5689800160371655,0.5979697089779019,0.6047710376005216,0.7165702031407879,0.5840558898096959,0.7239967977586614,0.5085372615227798,0.4709166799516994,0.6660842651880993,0.45557422034724787,0.43500748682422685,0.371013987834284,0.38860899816878886,0.4242441913875056,0.4554278847773633,0.4055495549271153,0.42902229504557715,0.47633469981818344,0.420188351426357,0.477165287285173,0.4309021629893594,0.4435910711560412,0.5382949799199727,0.5510661062355824,0.8666918554943436,1.302951956637092,0.8671993565495255,0.6981063506729093,0.6060263595717557,0.5759970479054772,0.5424973497567122,0.5022437921928988,0.4175788578100906,0.46185811074486083,0.40098398891515524,0.4300140980782379,0.44147145848180286,0.5139104459362471,0.45623009930813446,0.5121759193880572,0.6123135336674675,0.5456066730514431,0.49393458125816264,0.4239748546916695,0.43399342088668047,0.4712344707142889,0.45067111902852597,0.5496379662820977,0.5489846576669422,0.8450518640710231,0.5315558134674897,0.6143585632941884,0.4767895646636525,0.5226202402865956,0.539673434573896,0.5528553018526993,0.5049479568438526,0.5307529866690573,0.5393715376904044,0.6854282328304052,0.8328310516637288,0.5682899870253891,0.6023765465160706,0.6108131178049938,0.5956282790247849,0.5863543224047315,0.6108902114159245,0.6598662882984178,0.6804750157482248,0.7356334001852296,0.752838538845798,0.776769552971169,0.9567177784483589,0.9780257455325398,0.8193882207648059,0.9294131829558812,1.1323303585788762,1.0402012603323796,0.8613861487163519,1.1008249866742637,1.2794191589134585,1.0854149102027657,1.1891940004037374,1.3851734674262297,1.3149741129937667,1.3003823321431187,1.4335460444578336,1.324371364169713,1.5626085287710327,1.2682411421889999,1.2943557228180325,1.4364881412690822,1.4246215743257173,1.5273099695630101,1.7413976042559378,2.0942820445745913,1.783009862721708,1.5115639261594205,1.3339837805456538,1.4778747155244978,1.1778103464519365,1.2839466540506383,1.3120996261229705,1.3156629777014583,1.4926621655749752,1.1799473666025382,1.1633278848979909,1.143989650435515,1.0621376694986262,0.879416719361054,0.9105294330167849,0.9513607014716791,1.1245640844292182,1.2388755554178872,1.253267773505371,1.492193266748764,1.318909694812953,1.1928197054872987,1.3567987647978492,1.5199281704371355,1.2449439468235641,1.2981422765561799,1.4560877393681488,1.4537756281725256,1.3450676775066641,1.5433192104585112,1.6572372848115016,1.5500225013433717,1.5996401228419554,1.7101863546685743,1.5624571362565172,1.5405536959360464,1.4488874727319858,1.4633455888102767,1.4806778517232693,1.341555618294818,1.435247444878304,1.4052462730068198,1.4024238173190837,1.188468789655312,1.3303125035992514,1.4176779928612653,1.1672341922904057,1.0904001452811467,1.2968908554007381,1.270110854255996,1.0813042855058164,1.0166554031101065,1.1229901734645127,1.1011907487127894,1.467177941419108,1.0483345345124357,0.991826622937064,0.9407713646032184,1.0079610797926581,0.9123454427859582,0.9132601392644171,0.9661358359129313,0.8749283662083536,0.6157995627977233,0.693005536808272,0.5761342225746915,0.5936274396433843,1.1079013601651633,1.6588088306053301,1.416710717370779,0.9602494025485266,1.5716843783458672,1.7045209025200327,0.8640259369528603,0.9359228694333658,1.8752628628061083,1.7028213169521342,2.7918884222798783,4.627457205909726,4.156007034042804],[0.6454179208824402,0.4867189952053025,0.598684231317168,0.4097785064334641,0.5266545645388049,0.5389851712965791,0.32931748007698464,0.3836881741748431,0.28767231843718927,0.2716180952791481,0.3996757285112527,0.5488852149686334,0.37831307259324265,0.34690807724628925,0.5714791403761126,0.480916863158472,0.46108955913888977,0.4992465602720379,0.4501366165998787,0.473745006646908,0.4993986157398491,0.5134908902082211,0.5713712460276104,0.7632170010552822,0.5518967927771623,0.5040378460801368,0.47773871924768685,0.4299528943940483,0.44888352290497585,0.49527540311141804,0.5997083459708705,0.5989123833645253,0.6892353467378418,0.7180117778149717,0.6034682298980907,0.5346717025523342,0.5192071767204022,0.46145328758184645,0.4175530715873851,0.3914619960141562,0.4314455384047392,0.510689045189594,0.4985850706183668,0.5647696861429065,0.8606837575734365,1.3191851416767346,1.2582215369558407,0.7306662889583666,0.6400665139596134,0.7099266789074389,0.7115348481176493,0.5481420281691585,0.5236121515407409,0.46323253283640664,0.9657208154502595,0.5245719037103649,0.5756388958691957,0.5840994165163607,0.7594913003555638,0.7999842097501606,0.63395721771816,0.655951805560405,0.6453593740679882,0.7530214391419103,0.5671152787053368,0.5746940622719808,0.8020896509164877,0.6129364731503965,0.6950184095388043,0.6227899257758653,0.8806201128792283,1.3532272679688349,0.8325203082095342,0.8418325031191806,0.6927389179607168,1.071307020522196,0.6206652128430815,0.6754063488738183,0.6394473349077662,0.601267144818616,0.6623809676277811,0.6124005261369894,0.8520851678843223,0.44280282333768844,0.4098570621909602,0.45175611059463566,0.5111552210296317,0.6426809905772213,0.5473849659487674,0.7336006847444423,0.6686850103085809,0.7858206831437543,0.785603421736215,0.8027618619453762,0.7186934441359504,0.8525142691740235,0.8288386831963999,0.7025923145902284,0.6112072801343271,0.7690131521382991,0.5778542014750407,0.6945127741125608,0.5282413799551576,0.5126138889931483,0.6444598614592598,0.6228184505242831,0.87044315143505,0.7162136704524906,0.7456832202388973,0.8589946951970846,0.666317796095058,0.4136125760635835,0.30604534968503433,0.3141351878031406,0.33465995204352184,0.30143343444539633,0.382484805755128,0.30816334473876744,0.565064406918483,0.5749799928932696,0.4532327238829654,0.3808760740608046,0.3135757617485056,0.25910577281027514,0.28513218808453167,0.4446464722485855,0.5087571839692605,0.4544008957696935,0.49015476740933284,0.5201552003858997,0.5152873479023247,0.6372660738475346,0.49255038189699285,0.6138859290140348,0.42343103191582454,0.3866803147691989,0.5989191216598634,0.3910516673241245,0.3755105771433245,0.2926109193930985,0.34094215237885594,0.40253771971446756,0.4150789219158437,0.33027448030985007,0.3389176330077195,0.37778330492879747,0.32025270234984177,0.37228484577762866,0.3232133389206632,0.3531640077765282,0.4561017595961013,0.463675018727097,0.8040921055555746,1.4015574813577931,0.8972688024102334,0.6184199247009985,0.48980776028872325,0.47072886461531593,0.44521527768669467,0.4138600092287212,0.32366520714715336,0.3602036115730319,0.3036904557901138,0.31541203860411177,0.3405503852162372,0.4766535352903373,0.3824246484016472,0.45707925093910917,0.5655305340629838,0.4906556843370982,0.4118689018644917,0.34054435906893,0.3340371916058191,0.3670007457452346,0.3353865932512591,0.44314108066975433,0.44725327098563816,0.7587013083771988,0.41204756763420963,0.49778369777482906,0.36983351822942795,0.43763464116678635,0.45520315012660145,0.4651195786742739,0.40433492013549316,0.4310617880470507,0.44874048183045984,0.5738648288368191,0.7966853519422336,0.5039535316051118,0.5711429086927342,0.5277292231751008,0.5107395384088127,0.5027661059397052,0.5080586720563626,0.5590701094482244,0.5894581404793979,0.612140521562637,0.6611278428952826,0.697237014562806,0.8294916580341674,0.8595242067956408,0.7304963537963969,0.8267072774812645,1.0089455540327863,0.9547542280710926,0.7790275187064495,0.9850401378817947,1.1457057788710918,0.9968514308543018,1.0654584555990343,1.2304797034732118,1.2106602816387704,1.1672122022559424,1.2759652495583276,1.1962949283893085,1.3975355738449395,1.1619986848063628,1.1595442793160131,1.262338793860445,1.2342832797010437,1.423367969237179,1.5398872086308584,1.9655417388950356,1.6180537876954157,1.3513185632847526,1.2528401231681303,1.359986361638548,1.011748009745287,1.0932519756961836,1.1672933960623952,1.1586967768237568,1.34452785453564,1.0418221021331884,1.0172912009575568,1.0158552819016506,0.9761762314999761,0.8166811897027866,0.7930027641544914,0.8500111147321654,1.0091211703822058,1.1128698211159083,1.138943839463061,1.3340088132959647,1.2069518013031408,1.0927186441959997,1.211797465785607,1.4036945777978511,1.1378506928440655,1.1778483196138643,1.3179169156406925,1.3333043542055174,1.2245990005977463,1.3786564734353377,1.4965928555811503,1.4278732517069945,1.4271963480029497,1.5141134448941815,1.3700059226789234,1.3463083417342345,1.2693572526504397,1.28393465396152,1.288501575916564,1.1778013404369259,1.247761354105278,1.2151446562629113,1.219504926069128,1.0396393075861496,1.1314201739575565,1.2657205064055654,1.0491324346019615,0.9742763967972227,1.12565980401797,1.1320031357217026,0.9777109479205348,0.932551831646281,1.0574213054791313,1.0593918838028982,1.3714323620750541,0.9935832090285621,0.9089049714121968,0.8747059142298027,0.9667827329660825,0.8546331464427047,0.8555902869663681,0.9021290262586613,0.8056204319858509,0.6151348889829169,0.6058470845560038,0.5225260051332209,0.5696233127019622,1.0466142836317842,1.5758362894679654,1.3721891176746404,0.976379962001182,1.4986217641854744,1.744879145370361,0.9693609531419516,0.9659505564239133,1.976885901247598,1.8170721915051957,3.145950704216181,4.701712671127739,4.08757068482698],[0.4797138276692417,0.3220686747318509,0.4934847377573298,0.2927267592673042,0.3620600253574675,0.44618937226454986,0.2518571415033195,0.3804062099746169,0.26695788356804095,0.27386200161255103,0.395818583418314,0.5358139010011232,0.37246112618936383,0.3521730467145243,0.5604866948893625,0.4705050260403764,0.4587525351384286,0.4836377815608474,0.4547131431975581,0.4717663166029459,0.4842625574063822,0.4987135727063421,0.5695375411259357,0.7519194889536659,0.5736700029863563,0.5107339422032309,0.49666666277439364,0.44453087263829416,0.4464601573876652,0.48315388493303246,0.5571172875100895,0.5643334770935481,0.6270933359954436,0.6617950710644244,0.5581433153856641,0.514883458926442,0.4984200631267961,0.46592478330124515,0.4247168571291234,0.38869198434812346,0.4269123794563515,0.5097327536305688,0.4922162425697989,0.5622551493970901,0.858726351319458,1.3214996159788586,1.2545416289510105,0.7231874442434955,0.6440417479996655,0.7144390652229831,0.6924280885953066,0.5412005798531446,0.5085686966050418,0.45021606205668574,0.9363072775342569,0.523262504700214,0.5844133282527397,0.5857270469830722,0.7414422810726936,0.8143067529333176,0.6287872072670618,0.6372011033198762,0.6104525723056157,0.701938921607175,0.5500458406249291,0.5555528307680813,0.7935211392066679,0.6002758588827688,0.6794093149164071,0.6069746982126197,0.8722397252605554,1.2976067372880178,0.7946465768630239,0.7871490658624566,0.6694181342691268,1.0133592982186506,0.5869457093431334,0.6159801323508548,0.5938709635967285,0.577041967629625,0.6296665348051956,0.5809461939880309,0.8483087613719233,0.44013796157874213,0.4184734098696226,0.44570554238820215,0.49862713977057505,0.6035780025621522,0.51763087180738,0.6865780923600553,0.6266250359905831,0.71079464296248,0.6936083821309826,0.7227248453888396,0.6591876923426563,0.7713389352749193,0.7635800296799947,0.6530856854677056,0.5758319790032391,0.7502246415762303,0.5389137644263002,0.6601156453305336,0.5060458157790472,0.49649861253185557,0.6609545728312357,0.5809095210978894,0.8152405433310431,0.6128866745616288,0.6358892918287274,0.8075637191568574,0.5781562243527433,0.34607183399569036,0.2671113693721114,0.30529465380817994,0.3463156700992221,0.31422426134045306,0.40067138007440856,0.3437216125807767,0.5702276434211346,0.5757996522971648,0.48114826102078023,0.39825558814742756,0.3315118516283794,0.26367532346669614,0.2712074081580967,0.3585343261157708,0.40672983337244234,0.3832565695963406,0.39525774387586565,0.45782588070233887,0.42612551825504985,0.5437952903461687,0.41699407370736047,0.5647670108722085,0.367978625745234,0.34463277649382307,0.5460158926840629,0.34503104526226547,0.3927279587772163,0.31636947063091175,0.34650671339232453,0.41569795694370215,0.4344632270851312,0.34704322937445925,0.35179479533847907,0.38755920429142754,0.3326565182466726,0.3705742912501077,0.32434961678127694,0.33762653368183465,0.43807453334504065,0.45375529208719323,0.7936651306062186,1.4833608885229088,0.9530640439927095,0.5995061094509797,0.47962646293491656,0.4694782717496164,0.43231113390142367,0.4149187265645156,0.33535708263078295,0.3643396086696274,0.31483768362630143,0.3294981662685935,0.3679003246848153,0.4875843709781169,0.3527553222261925,0.4137054352554361,0.488549426318545,0.45745485821382126,0.36595868511260776,0.31760396170799854,0.32411575719604296,0.3697496246452778,0.33780965334013086,0.4546068125750847,0.4573516732435115,0.7579103397884189,0.42447797011479194,0.49442319973600063,0.38052932935428846,0.4194441984657066,0.42304654764304134,0.43233430296880043,0.39508598629619385,0.41921008803820664,0.4498864351076681,0.5662246254277767,0.7952303912837151,0.4978016244705169,0.5676920183769323,0.5161593259467224,0.48449824299873,0.4625263904887493,0.44341179573491085,0.4779140502711164,0.5093242126088071,0.5057754324251768,0.5227064600638116,0.566246577423622,0.697543830629682,0.7546394850220344,0.6130831748865923,0.7011693502813842,0.8841555017146816,0.8548944801892485,0.6958388311669055,0.860888224719956,1.0283429876475094,0.9005570723368627,0.9610130508035012,1.107446619249294,1.1383298177592527,1.0847149918333192,1.1360103071637606,1.057047167251142,1.2605412570879408,0.9611294869345596,0.9916884369758279,1.0913772167109033,1.0604848628050272,1.3100068045308306,1.2982540354763752,1.7694149577444933,1.5429223046766114,1.190044035232623,1.060752674670515,1.169453250137826,0.8339260173600275,0.9194179567894039,1.0292239049309986,1.0023913240273898,1.180188866484008,0.881062182191309,0.8877793805512545,0.8591825644516532,0.8213532532617553,0.8139844056577663,0.6658741157009246,0.7406730921668092,0.8737526322409152,0.9850892278417505,1.0504055704078084,1.2842285179818502,1.1613500450050245,0.9863680108635947,1.0881537084065844,1.307720045810136,1.077396580270173,1.0753022533129997,1.2090999029942757,1.2391887738726337,1.122744754655265,1.2392869136588591,1.3607708316537108,1.3262817556091504,1.2957903731972795,1.3538099021106702,1.2255392984242333,1.1946192262583484,1.138105062521358,1.1472371573941604,1.126252047638836,1.036485256734802,1.1215576490051664,1.060814561235978,1.0745068434503735,0.8993325159233706,0.9663244532896843,1.0837913129196894,0.8839295282809074,0.8216016099187095,0.9426397241683306,0.937523428065657,0.8340752091528754,0.788317399468004,0.8974341993527813,0.9340239888205749,1.2167382703459124,0.8424947849566282,0.7546869802388642,0.7305150659651282,0.8415714829420943,0.7279635374425614,0.7309615963484726,0.8180494101784745,0.6784763820513016,0.46880785688896714,0.49458558209468945,0.4171651712801281,0.4384626644652547,0.9587707651053321,1.502451074228872,1.3967147030305458,0.9330981648897126,1.4416679002904498,1.7962910457504542,1.0483100493253676,0.9749713530578801,1.9452936360533406,1.9859263198980823,3.3626948858244807,4.699329207489651,4.182683642058336],[0.47033458446485205,0.36023711476883463,0.5054480232493852,0.30939332185974155,0.34897616184232144,0.46860373832883556,0.26790628197286304,0.36352116363917486,0.259229043390757,0.26251148856543954,0.36465802170710204,0.46083866776413823,0.3462898537674593,0.3505987855402678,0.5174115669152456,0.4395714598422464,0.4431967008003251,0.4871443980844736,0.4753071660244148,0.4712915203688249,0.5092002314010764,0.5032015680058025,0.6250602277733048,0.8525565265317117,0.5807722444908071,0.5435059831193072,0.5197027586756487,0.44918080480640526,0.4356727116250012,0.45129266690169406,0.5467446839129697,0.5125033505051653,0.6206217524247616,0.6483496618310606,0.5270104046157317,0.4947451283718957,0.4653105528926123,0.45303975627259774,0.40559683763473786,0.3711844127901398,0.45351179767140737,0.5271364647949223,0.48620660937511445,0.5867128930718982,0.9158895118456053,1.3443011345742828,1.336437268472011,0.7661265314397905,0.6821465076346525,0.7678565427942522,0.6747881093057126,0.5651064912783537,0.5196106472395821,0.45297083386675924,0.9164770099613536,0.5260023287381675,0.5846444680925142,0.5843160373202317,0.7298517737607074,0.8176457488439496,0.6058572085288048,0.623488035473445,0.6303958595583635,0.7745754886217774,0.5754634861818723,0.5624991653771114,0.8028208213320461,0.6041849183076666,0.7072958146575297,0.612408817099384,0.8898234710163708,1.3466287664240149,0.8051158196626904,0.8569390759863236,0.6683243109606113,1.0403689244091547,0.6005196503782846,0.6212197493571089,0.5911371048558075,0.5886224416797134,0.604856024140693,0.5533325794943829,0.8298540462158941,0.3900150833205585,0.3818798205787449,0.3992579733104232,0.4801490866598163,0.5931161496725421,0.5162198891751865,0.6756045206497308,0.6287953608263098,0.7286328621152693,0.6912668799810072,0.7070399993430689,0.637086763939169,0.7502280550957874,0.7329350549279914,0.6009802011967501,0.508108681194091,0.7417036403911735,0.4724232792611394,0.6213588669812917,0.4563692225906124,0.45431949250516007,0.6162086105824041,0.5521045636834667,0.7750824270682847,0.5611723083210821,0.600597373854761,0.8037843013487954,0.5447393752265358,0.3304993420522,0.264099449509002,0.2927955544455962,0.3225284891607024,0.31689542274010224,0.41551072542180134,0.3789033605933262,0.6746022321870974,0.5932463936430588,0.5226830321335938,0.423397452244825,0.362393738737891,0.3049563526392285,0.2969573545148153,0.36661930656958136,0.40409964164440726,0.3535373698498525,0.37473349094407765,0.4401643419345194,0.39308157658040166,0.5050494475389348,0.3596899312307536,0.5129094905408754,0.3202139015636267,0.31606088318807257,0.5427764420772001,0.3560770626966764,0.3913675827451313,0.316441802219914,0.3688556041996732,0.46395792440928796,0.4834166258881909,0.36401667444616004,0.34952755606152264,0.3797751839777831,0.3124647289399891,0.3504923894285981,0.29287503630920914,0.31791703717790026,0.39442547967977504,0.41693196165467145,0.7422624713973601,1.5537399961658198,1.0223437315150894,0.5670100967789,0.4117993513502981,0.41561126879187577,0.3816895492844242,0.38293452383221627,0.3218027913251535,0.34081785416839555,0.3054381850508051,0.3078511156646273,0.371997169905072,0.4578162033212997,0.33617100957338797,0.4141262525831728,0.47319701427792216,0.44377107084696565,0.35651550057282105,0.29510340842359667,0.31149842529979876,0.3287657171229116,0.29194691738393524,0.4108080300560744,0.41873793558460504,0.7067328248234342,0.3802967577013674,0.4412348525113112,0.3335346110694015,0.3688732302971043,0.36153547580684486,0.36395770453116366,0.3528299926712332,0.40490682962885216,0.44379626125772614,0.5608795976373115,0.8120652497660346,0.5168402681561056,0.5797385751173441,0.5154503233130578,0.43521747319476184,0.40371945392477865,0.3781565545338514,0.4396824548934004,0.4885435688977509,0.44921128525547266,0.4859600345056633,0.5432653238033142,0.6463739513928571,0.7209881791207542,0.5872175194786299,0.6629311213945532,0.8425119449657684,0.8346446046013997,0.6781662317661423,0.8191056715034692,0.9883619779961308,0.8770952330511143,0.9195527721559315,1.0540986333786426,1.1073227903019989,1.0411766704819887,1.0819128915740575,1.0018203503280203,1.2076369163214007,0.9034144959553229,0.9353409846445043,1.0313099537280028,0.9924344335020356,1.291017986340691,1.2115403066581696,1.715582800785974,1.5172710642508795,1.1479497387026982,1.0502211748517618,1.1697256470788615,0.7652452622597552,0.8356749016951373,0.9837144816742038,0.9512893836650885,1.0990164106524742,0.8146384835917712,0.8533886901004513,0.7958936604874315,0.7788604646249064,0.8158950786278646,0.6193740940253873,0.7076433796688496,0.8605984029955764,0.967835585139131,1.0637415844709706,1.2722893609141952,1.1971351634896719,0.9943717153444576,1.071567670010209,1.3187885279263047,1.0810777376379115,1.061926507581434,1.205735000766674,1.2415544443057898,1.1001965531959035,1.2089985633409144,1.343977388177206,1.3114115518004297,1.2514192949436258,1.3073953514769403,1.172027301021289,1.1441717612362452,1.0960413695943916,1.1034941376091512,1.0669644491812242,0.9811901332960647,1.0574042641049384,0.9906993234409097,1.0084013926242905,0.8353831882368277,0.8839044573420081,1.005185805931308,0.8246931586865934,0.7693331062852816,0.8589622437408552,0.8957284879851293,0.7932325609958377,0.7577141648786887,0.8908953398536932,0.9751922081009752,1.169581931076895,0.8240712707099936,0.7206156312469365,0.7023328034175013,0.8241775365467099,0.6950801582255973,0.7100637205174269,0.7957728908003151,0.6434909765163018,0.48417918890105444,0.4634639302788537,0.41332312557972234,0.4308284259078511,0.947109549230487,1.4993388536001229,1.4612908440996328,0.9732977439214877,1.4294166488291626,1.8897090414809654,1.2142974127191926,1.0366076007079903,1.9662705963622258,2.1241862215286,3.6429704611962084,5.003024278710519,4.57839969044844],[0.44662429482242205,0.3643793533273787,0.44476228511884147,0.2982966908263697,0.36133798350586305,0.4484022924446133,0.2800002032746289,0.34958943905078566,0.2637224344662601,0.2440331001972607,0.3031119434352182,0.4002185559533109,0.311699787819889,0.3282501072193251,0.46914618926892204,0.41858937327549284,0.4409101585224128,0.46571331643312824,0.4828158232720199,0.4685425951199929,0.5058717568563875,0.49735713593947783,0.6492846347219279,0.9343921980046236,0.5960861177312592,0.560653097516106,0.5212119348870712,0.4300029475988327,0.4255456871527875,0.42325905184482654,0.5171064648284596,0.4761804616718188,0.6136570575319761,0.6141833889330502,0.49675556057958403,0.4769031694941891,0.4461179508572068,0.4257679116980752,0.39126309766467804,0.3669428827269925,0.47687013900450237,0.53815735114945,0.4802821798492104,0.6209369298711962,0.9529313531724792,1.358726924233253,1.4011406060759999,0.8234480979451271,0.7103583298775902,0.8192831655698625,0.7150186518620959,0.6212742234506299,0.5575112889116907,0.4765482188424228,0.895295366618144,0.5156482797423122,0.5788286458209394,0.595192113130618,0.7084098734384903,0.8622800242676303,0.6009086183696141,0.5946005516545628,0.6130336513169915,0.7880768517153551,0.5794559412378429,0.5568230894445385,0.7905703282548276,0.5891301440637522,0.7017952716195839,0.5917187000730377,0.8508407340831307,1.30803755262625,0.7737972677688264,0.8937498956202797,0.6347234970433236,1.1101474673668827,0.5832336032001518,0.6109543958113725,0.5618553505701971,0.5619884283312953,0.5792670050025126,0.5365566377949352,0.8042746902458487,0.3937871607052506,0.37235886666610984,0.37888763361710365,0.46381830777301075,0.5831822077123114,0.49796728184470007,0.6676546822949213,0.6146144715767031,0.750646569268137,0.6676628140920866,0.6625408348699554,0.5914000778031693,0.698758608573988,0.6372401172784699,0.5464173211741803,0.45064458897670134,0.7433087502858978,0.4248670420254921,0.5907876663593535,0.42657182075791256,0.44246131969663577,0.5678070317772249,0.5322488449553266,0.7067774347673328,0.5164627864731205,0.5733508879611712,0.7942879437434502,0.5264666071401847,0.332975685553935,0.29314034797747845,0.27682425113334436,0.30463569916029337,0.3316121762119616,0.42324432167339976,0.38149734275822916,0.713289181706654,0.5775728142833066,0.5223345893726311,0.4195509515516344,0.3854773750145947,0.3107072816348458,0.29147537861908246,0.3562093616051744,0.38130237169192527,0.33121254227944147,0.3495504695037882,0.4305712478085633,0.3686710655187581,0.4589146531992613,0.33056144143747107,0.4824797963050956,0.3052671601721666,0.31421157467368366,0.5484772525268585,0.39071790717815896,0.39924270200103695,0.3297006565933213,0.39012669027608204,0.49885019784616713,0.520768492132641,0.4028819752658024,0.3722769153375221,0.3904223363959644,0.31894681479755294,0.3267977395030817,0.2978904967890504,0.3357360985891596,0.40515178621938797,0.44583327995648,0.7128108005465613,1.5781907585975725,1.0972261255764895,0.5705073193873605,0.3998686244643706,0.40150455429052384,0.37021241957931145,0.37801058125132925,0.3297680212047322,0.32437484948385925,0.30439910982732493,0.3021764677285904,0.38108503270030814,0.46160062137023516,0.3542480597757257,0.4324893270486952,0.477093518624433,0.45483874106975114,0.3778703932914658,0.33359317504474906,0.32460321156464544,0.3095756646573644,0.2852854666288692,0.3861628452881076,0.42350796383461503,0.6804210355903367,0.37825083804636067,0.4124306882565096,0.315059760304839,0.34076275563137565,0.32869303845221964,0.3470319712140107,0.3412510866993253,0.4012350622730234,0.4421011336152907,0.5646619850730137,0.8408863855934012,0.5509934418191744,0.6426986076488483,0.5746148820527173,0.46563985091263377,0.41298658593726206,0.3787323607640513,0.4146601112322471,0.4668672390449644,0.39455972034559045,0.42966126265268334,0.5068384297815386,0.5666425252789945,0.6659110596726527,0.540809011760967,0.5795815334813758,0.7513866394037538,0.7690900427372307,0.5910595753972134,0.7126580252149585,0.8914067485453258,0.7951254280211615,0.8227686558740825,0.9455227332980699,1.0302296037038643,0.9475351018784155,0.9699821053625157,0.8852546732815613,1.08156665447604,0.7787626132147546,0.8074394377806192,0.8953148159493834,0.8481556171486584,1.1681370113907608,1.0517807472598457,1.5997864555430668,1.4281675150149826,1.047526411502079,0.9879949848557578,1.0886391711692442,0.6618977693260769,0.6941737186752256,0.89185457674134,0.8427743160267578,0.9605846377383145,0.6969480547586434,0.7934350230212305,0.6832702222851841,0.695214142108491,0.8227602717149383,0.5384840397093592,0.6539714201884448,0.8099576567378087,0.9001704968728361,1.031894619672524,1.2043414624358395,1.1831658191394112,0.9536101865950898,0.9905494251585725,1.2635973309227218,1.0448986315653845,0.9920803550251207,1.1367567451096836,1.1838578734001917,1.021069319294828,1.106020819821744,1.2538815484543067,1.242684143734721,1.1483458604679426,1.1966864147605467,1.050817784025301,1.0253019153277803,0.9811360160594299,0.9917685188883423,0.9337870508777181,0.8593425050969908,0.92800807349075,0.8530218825021678,0.8743923057872148,0.7128269044082883,0.7272254093671672,0.8804914404482179,0.7193167109164705,0.6602677994657615,0.7184962497242914,0.7877784141437224,0.7203804009993775,0.6794734144021132,0.8453373334476011,0.9619210020254092,1.0907704752911154,0.7552876460857038,0.6362629207083854,0.620744188797928,0.7688960107860328,0.6302454338130458,0.6612053735528333,0.7418402403704066,0.5500694051553084,0.4566535161773729,0.4168408828086545,0.39063587707751557,0.40724634322479886,0.9061133721182393,1.4240033705376685,1.4627234723296196,0.998065373791897,1.3423303984300041,1.8872822768471615,1.3569518679975519,1.0389598220865803,1.9294735941773327,2.13706379307017,3.7538049193519183,5.0104937958320805,4.58184378718644],[0.4920361287739901,0.42674535872596103,0.5478505799937801,0.3434292827038622,0.39544057395181254,0.5469977188762214,0.3713930802036577,0.4214081738419488,0.34350329586910167,0.29562761612423416,0.33620060633436694,0.45375382342353215,0.37062584385851066,0.3604419269326419,0.5657071236041972,0.5013853425073765,0.49897510012719765,0.5827462507966071,0.5987070130147849,0.5786398073540605,0.6184123758825252,0.6016971496547849,0.7896330002478283,0.9738856858082461,0.6572615116878997,0.6312679328386651,0.6461384326172499,0.5398861353777071,0.5320441247550257,0.5275653217515591,0.639544360853325,0.5797586660477101,0.7786447883526725,0.7502833145662349,0.6415325808959235,0.5997113911962286,0.555088069830373,0.5495581240403167,0.5006155295997285,0.4864012313827191,0.5431030102289987,0.6390763528397411,0.6243464012724967,0.6583048875068584,0.9586623426127708,1.3659288452744893,1.3577719026544486,0.7909170584919665,0.7260921104273586,0.8210905502043122,0.7544666112972671,0.6543039676235143,0.6412149716049368,0.5689585396113094,0.9723807578433122,0.6617783100658708,0.7095603406962282,0.714558930025527,0.8316754211279129,0.8826643017714431,0.7392562450320453,0.7449279192067316,0.7609244851521466,0.9365006225685915,0.7206558781036358,0.6838977700215108,0.9167478140793601,0.7252260217305191,0.804222229370077,0.7051052729718706,0.9690733361206516,1.4969285493507405,0.885296026942092,0.9596486614803581,0.7728578325519049,1.133639985246945,0.7399104782903508,0.7702935032373024,0.7297094428866434,0.7110789577557552,0.7306805120152262,0.6921993021761464,0.8725891884085216,0.4887990461804887,0.4734272071978331,0.5123130744533044,0.5980195084889418,0.6828732837296193,0.6405524869319156,0.7762009073741677,0.7468430194807572,0.8546523921492135,0.8156488572536219,0.8117578044387453,0.714532478327456,0.822169151563807,0.7475854015914402,0.6340638786315619,0.5247431630902267,0.8349751820050026,0.5178894389954346,0.6716939326961975,0.5190349501405987,0.5557538986387524,0.6654862768270504,0.6078033442058984,0.8150051995107598,0.5939119278544166,0.6404716264652525,0.878046967420847,0.5656407920765077,0.37359797729067173,0.3578696268377124,0.34160013544428874,0.36008988702733946,0.3668308291693865,0.49560203287663923,0.4711153985309331,0.8434275481635157,0.6925585195912963,0.6224914084423046,0.47388853108992957,0.41486907908674,0.3355475426305734,0.3251710260867751,0.36161095845884517,0.45700662371202744,0.3849389914660445,0.4076590538073734,0.49096683879237435,0.4093065575487444,0.509951140632976,0.3649497233217604,0.5720963983391347,0.34505522480660733,0.339446046605203,0.5260172221771396,0.3817898046664365,0.44119960181593787,0.3819359631632014,0.4642869683732066,0.5165536737636887,0.5603060028507127,0.4729256641430763,0.46587419238751737,0.4701472596437975,0.4025311393284821,0.41940918618379663,0.36359802284712456,0.39004005539650105,0.47909665933404516,0.5099768740996475,0.7960658382435023,1.6726874829743734,1.1218507562408846,0.689780606125588,0.47364739295741426,0.515094268537843,0.4564961982456801,0.4631271910889243,0.39602973056353424,0.41752962061378285,0.3632143437979957,0.3637792595487902,0.45714835693528194,0.48385140738727833,0.3749280540225453,0.4180297188277944,0.4216629916086035,0.4228328779706595,0.3561897517115725,0.3299450176065911,0.3720562312753769,0.3727527130869075,0.3650404112551853,0.48607984580399405,0.4976684688551452,0.7587165762240343,0.46200714879672483,0.5278065920406466,0.38275363232127313,0.4241974322965477,0.4065339267310986,0.4155550211096683,0.41212927940447047,0.45804087614397687,0.49148815780892974,0.6434842589960332,0.8711469280794812,0.5699214548844225,0.6460830701902653,0.641243355977382,0.4935555894596769,0.4095068716898653,0.38584107371591053,0.42910439124292793,0.4980864974546061,0.45530944452468924,0.4774536098302264,0.5504359596045075,0.6563822019188156,0.7821362974164743,0.6186012143561186,0.6529129888497883,0.8718199229249803,0.8724443632551027,0.642333569497898,0.8021454742986664,1.026854712666876,0.8823653963994899,0.9017875490522423,1.0653112506170288,1.1435872286535733,1.0514318115167842,1.0711635355778006,0.9635291516111012,1.2014270076142768,0.8383691823529776,0.8988081894687378,1.023653732653708,0.9893667035571608,1.2905056904761134,1.1747068699595187,1.777298329591071,1.5871836082719402,1.2574006627774506,1.1810906931725214,1.3128509119254301,0.8445526707940421,0.8313371948913384,1.0112399032597437,0.9672502118088093,1.016412741344235,0.7581004251654687,0.8546275227412576,0.6695547491867956,0.7463684523249152,0.8113387260308913,0.5848696324372763,0.728087897207447,0.9446514483539462,1.0545664417471519,1.1985044348537026,1.395387433990512,1.357351193409878,1.100598382831959,1.1996049684423689,1.4919465295322933,1.2103505668893697,1.162244289556459,1.3553656792259339,1.385047473729666,1.182849667922294,1.306103330702298,1.4685530688774464,1.4140278694267905,1.3110062651008036,1.3837758061341774,1.2169354928673237,1.219410649079184,1.16814919954105,1.1807524802356257,1.113113339808963,0.9983645882951282,1.082368721143795,0.9934258211838539,1.0007453834238056,0.8098089866610285,0.8400973798306347,0.9514453338374887,0.7735086580914757,0.7068642723639053,0.8013291494727505,0.8166075416793824,0.7255156902605139,0.6950726343972543,0.833160410851021,0.9752628850220918,1.0781403934514224,0.7593893431092289,0.6735405610243296,0.6669104373332152,0.7925003187005252,0.6429396964371055,0.6584372316178518,0.7445675564138118,0.5666543086596966,0.4589249935428759,0.4665382942548763,0.42319036478039446,0.47743808572283614,0.9843986511830732,1.578648435689037,1.6187760129649258,1.0122666183738893,1.4679523571975934,2.0791033697801686,1.3371319976188405,1.080292290659678,2.0240628261459115,2.3834894948395653,4.069968718903345,5.677079618542319,5.458877477635122],[0.4685110034731738,0.3884288664319973,0.4603032473111801,0.34758720528921194,0.3911103934261388,0.46993524664051567,0.3423079848852907,0.36437974188145583,0.30202901490048145,0.28353749148584373,0.29637106973262267,0.37032643079138067,0.3240892731816928,0.3301328281593254,0.4566027297696105,0.4276315317804403,0.45134017704449964,0.4830254792498066,0.5350922807654462,0.5028569528838751,0.5272848319306009,0.5149617913039417,0.7422701795467763,1.003362821428999,0.6075234752625974,0.5848915704065847,0.5616929390154056,0.4630910954355073,0.4408994296295718,0.4249041151956517,0.5403124571623291,0.4622756283212312,0.6678404347983887,0.6259149472513115,0.5029158315229046,0.48570998265256793,0.4616545545378416,0.44366421426984237,0.41960223140262,0.41039157273995863,0.5087424063389486,0.5802039701726902,0.5159073130181324,0.6639189861555658,1.0002721351941015,1.3640602123482362,1.4557697191377104,0.8510963657176321,0.7299056110875526,0.8583624228114058,0.7311874790614258,0.6433937741851293,0.6098191455762071,0.5177569976336971,0.9208409734019319,0.5644917715957701,0.6091993419250609,0.6372627125358505,0.7205600159801475,0.8885045133527589,0.6369045639676485,0.6325404605315892,0.6472907145703927,0.8789965708441437,0.6302348746581192,0.5760299680783076,0.8113399978684972,0.6159341921541758,0.7529134725697829,0.5975135180026091,0.8525115113792171,1.3577393563019586,0.7790530124388902,0.9654225641087659,0.6586154903954307,1.1834706713847207,0.6224561121769866,0.6492972751731192,0.5862938651148543,0.579530936785537,0.6128905937508488,0.593706063230075,0.8032857559996619,0.4058753766473436,0.3985817710158287,0.39709368791354477,0.49135080207455967,0.6070734402328835,0.5270388134063061,0.6682251492878251,0.6483667098769517,0.8106047491847614,0.7252966605593993,0.6974533456337637,0.5939685480244387,0.7079020704631781,0.598902218325328,0.5275052763558256,0.4350999597526761,0.7490023332927501,0.42293359209812637,0.5968049037907353,0.4097358330080684,0.45686698912369,0.5484231011637433,0.5309880724466,0.681328894650495,0.4957053253063524,0.5594139836341905,0.8085740379462982,0.5230838757697397,0.35568970769021524,0.34721089254086474,0.3103514954203187,0.3434078447894784,0.38329589549787135,0.4770330049169942,0.48713095050578636,0.8660278284270866,0.6461269695080244,0.6007466738679462,0.46303345342732605,0.43664547997745773,0.3674112929407514,0.33539070938216414,0.35010213453382777,0.40351203128463936,0.3565407707318975,0.366908069322434,0.43839794207002025,0.37949036968839434,0.4492195004862786,0.3353911277561135,0.4530549426122527,0.3521853699330523,0.35786180611145735,0.5383769422825405,0.4312637819512604,0.4614974966520739,0.42619644547471547,0.5089752968630216,0.6165150465094706,0.606726988966794,0.48597907818939323,0.44824925366739204,0.43181914251296705,0.37853732900016596,0.3679434186574112,0.32666730199659455,0.35512739249816494,0.39962643871773756,0.443993851414822,0.6891581352524506,1.5842789857858441,1.1129923178226238,0.5929942333748632,0.39456488086103375,0.416427184809799,0.37689099288733857,0.38568465763534715,0.3950379676251757,0.36075569131049223,0.37753572593588675,0.3620888381786757,0.45676283466930667,0.5342392408975367,0.43048948266103765,0.503287601358154,0.5288597176128355,0.5141393958314374,0.4494098564351959,0.4207017788026914,0.3871196123415567,0.34944078826466524,0.30668067091197204,0.4091876144992457,0.4352326703497711,0.6725676500142923,0.3761786108010701,0.40824343817471515,0.3540728510741272,0.3470974473909446,0.3429317272844994,0.3678166582055894,0.3922846867964287,0.43639235900467493,0.4859835139717969,0.6020252982508593,0.8823267308501745,0.6124763889184955,0.7149878074003183,0.6562098207620901,0.5226023915216205,0.44266087289987793,0.39111853556942816,0.43008239132235726,0.5024075128407518,0.3851156552845439,0.42774912507000357,0.5112825682227881,0.5480086456676811,0.6679123910202923,0.5417433839290964,0.5653506087703163,0.7420330484649347,0.7710945019261995,0.5889749767704314,0.6988851089920324,0.8839282661794021,0.7893787899112962,0.8084051072795414,0.9360993255410075,1.0374091663833729,0.9388227636165268,0.9478329460338416,0.867654146756181,1.0491896363839295,0.7500173799429298,0.7758702269209622,0.8687107252125886,0.8210459137532526,1.1457572954834687,1.0039275743565226,1.584761638342057,1.4292760772642221,1.0486512881042902,1.0123878858470674,1.1189232546399175,0.6532229927717942,0.6494676257510948,0.8766003328568587,0.8184210841814622,0.8868350306746324,0.64927877452632,0.8035132960601691,0.6508060895352793,0.6706148733497098,0.8519818613425579,0.519902454397134,0.6548811201253513,0.8273118039098691,0.9027895586567585,1.0586567563544185,1.2279240145898025,1.2180540476756572,0.9637971534251459,1.0153872834272752,1.3172411726100535,1.0785126112392613,1.0104833107959128,1.1765672008743293,1.2246627879325447,1.0387733835827888,1.121387091514106,1.2817774008309795,1.2666734819458796,1.1596622043119327,1.208392632327884,1.0505899061476323,1.0278894520783313,0.9791777430026741,0.9895569851610659,0.9196571241382737,0.8406043740630701,0.9023516413451856,0.8224668934954666,0.8452034976602465,0.6840544507222288,0.683873403085557,0.8427730866361959,0.6988546247148977,0.624524985555757,0.6963099147335601,0.7696003357104089,0.7361059954612997,0.6783480370134184,0.8630362547785481,0.9990649279883589,1.0791183428196323,0.7715830387289847,0.6286864922309311,0.6122040244887017,0.7887480862930528,0.6348769986816019,0.6806109623058798,0.7466997290959159,0.5424279518625377,0.4733192134839715,0.42696513362570293,0.4058791324610343,0.4400179672213141,0.9026196390126736,1.4270170247989102,1.5266947060654508,1.0103727485602148,1.3356384311243101,1.9536732223771367,1.424686986815672,1.0559695398258746,1.9442472701351385,2.234964915658877,3.945113167809247,5.320248716939861,4.969058225246312],[0.46605856836410486,0.41939662330730926,0.48744581576787793,0.4058995811098078,0.39124345532327154,0.5385392969948511,0.4048896828617489,0.4511821770179571,0.4026607970507894,0.38383249318197277,0.4518388157369983,0.5883544293006856,0.4834220848650294,0.44387510030510197,0.612228057555395,0.610756793931678,0.5648685222373929,0.6392487195086181,0.6613257354789874,0.6473659313339637,0.6689882057423077,0.6604092873250795,0.8842306177730189,1.119611492476562,0.6807072712113857,0.6787579765196718,0.6592891118223566,0.5675468371965615,0.5935507466621294,0.5969576569439915,0.7393936960603312,0.6932862023376783,0.9620834529156013,0.8963099860212085,0.7405892843988269,0.683564958451907,0.649256229424273,0.6000225911938941,0.5647102454706968,0.5860580156456207,0.621726870388424,0.7263994175675847,0.6973534223085329,0.7768743750391559,1.092720603437272,1.470649668792819,1.5636092214643404,0.9461683480909507,0.8593143747470301,0.9879610366576451,0.8436573938144318,0.7798277102429366,0.7700574626988136,0.6578391430699909,0.9979125112726711,0.7337449004488839,0.7771587134176162,0.7940496354153601,0.8892445427377428,0.9172892040697056,0.7905423608874941,0.8083598586283227,0.8391397110498034,0.9835863070670823,0.7704616275822935,0.7400159982536502,0.9620205319391292,0.7920837155889446,0.8672750282348762,0.7482691854666389,0.9709602865295118,1.50122891261232,0.8899611095987752,1.0586525878350193,0.8228367658039015,1.2704853157099851,0.8259688512978358,0.8984347772335907,0.8119066362940318,0.7980699992671508,0.7890085580081881,0.760050164017269,0.9269410155128408,0.6024536454931855,0.570122365567972,0.602702337866554,0.6708234972394426,0.7720996424845791,0.7254661559973103,0.9014226603884973,0.8622947935667636,0.9838619860809019,0.9468279944236411,0.9663312544290847,0.8178980267922182,0.937803808056538,0.7639847306208071,0.7571244600848123,0.6666148423484262,0.9471799988301123,0.6714111927605632,0.7567881862157778,0.633644510989257,0.6258067368646889,0.6575110911961816,0.6271369482048951,0.7586175785672595,0.5816368857208443,0.6408544728129429,0.9088927178061583,0.6038800083143541,0.44358858261721623,0.44643976945674463,0.3899187363502509,0.4276854592013486,0.45861723882111854,0.548471389701732,0.5652843122814687,0.9649941692707829,0.7135404999049662,0.6615282986537518,0.5339149406329017,0.4972684857143757,0.4412196237883118,0.4024230024836903,0.40789092130713345,0.46915956903312694,0.4378818749429941,0.4433165444039641,0.5316551836480389,0.4355091428600457,0.5032314695704103,0.41348199300699806,0.5870209773449201,0.41384688246718393,0.4166293852943837,0.5804657687384436,0.4766426632651679,0.50691273013762,0.4875203877124836,0.5755463010788757,0.6573222386281848,0.6572580091736877,0.5602518185639347,0.5318821509976938,0.5445227000738101,0.476697328653916,0.4855280970972789,0.4726791385443252,0.4914541415215753,0.5517481948592438,0.5944790869819574,0.8296177717414868,1.67814608932468,1.218517183583243,0.7901245730939567,0.6151653163268265,0.6102472651874844,0.5672468965275289,0.5253831909133527,0.5166487361794799,0.5047427623217857,0.45944076499862235,0.4531254016458932,0.5424241736215787,0.5942913484083194,0.48259596923718195,0.5617971677231766,0.5518860156106314,0.55237940744184,0.47535577970092796,0.46796729005419474,0.4770041153539755,0.4684824327143948,0.46347364812421327,0.5586121195710323,0.6047495899628695,0.8332127763559987,0.5631960422741064,0.5960938428854812,0.4867783972683152,0.4912029384207974,0.4775039787131224,0.48003082427296967,0.49102134363870864,0.5229533141969273,0.5897496148820558,0.6711189384933565,0.9730690826100902,0.6659780313254908,0.7366290069087094,0.7181874199123641,0.5782887705561204,0.500418514000926,0.4683677459964931,0.49203048778433384,0.5416262768592083,0.455917560142737,0.4722423861847548,0.5469876745997349,0.6055675684252442,0.7467961551900083,0.6075202577175568,0.6103593934112248,0.8075226960424298,0.8301177000612128,0.6118999116148798,0.7335713549715777,0.9544147492448554,0.8350086934605838,0.8414266322999597,0.985596333445961,1.085791893337936,0.9765025169012593,0.9822022700732588,0.8880261778254394,1.113767801268047,0.7629458317020417,0.8054066136973804,0.9083855655492569,0.8790058746968693,1.2030265799501467,1.0502009016837093,1.6448394315287143,1.5174966546675568,1.1528489504715556,1.0974377101950563,1.202741032807434,0.7083413403322351,0.715733400077818,0.938743331860962,0.8818317059708499,0.9164302617690677,0.6879944395148032,0.8116270409538742,0.6504695659646373,0.680114092977872,0.8477729022043625,0.5520404727798682,0.7335731189949194,0.9161781277903253,0.9866281041859877,1.157505586775233,1.3148997969949232,1.329249562219636,1.061855908618158,1.1275025498818951,1.4436818688402204,1.1780479597371984,1.104038285744208,1.2998085609285053,1.3423055849087087,1.1221467617304797,1.2235231813053105,1.389982561438063,1.3539660903039559,1.235954028540731,1.2977437930045503,1.1265588448158246,1.1186220384092715,1.075079961546573,1.0860481389748202,1.0012920759034363,0.9074765155661901,0.9732086769947899,0.8859177989020514,0.9065426210191934,0.734039408820298,0.7350984987152525,0.8696366606002967,0.7093931286794358,0.6309591061213838,0.709768477497531,0.7900911561945032,0.7522534288734707,0.7075180255830378,0.9026438918694781,1.0186191148571664,1.0635786243087704,0.7763307086484094,0.6364485687863,0.628148436944877,0.808038437328026,0.6633347839828881,0.7058539553278587,0.7761358305490607,0.5720097073784003,0.4980381111446334,0.4751005000454895,0.45789795546767464,0.47490430084668456,0.9745349860985227,1.528793239583849,1.6460288616503032,1.0670858168712274,1.416447756887437,2.069530737185074,1.4829890965044645,1.1021420865375167,2.0015722864694463,2.3399759631098016,4.100666634966211,5.610195529438225,5.314494851027863],[0.5035555073918023,0.4269272129847552,0.5185966862746643,0.37647759055054536,0.4007338196168394,0.5368045183642502,0.36499913191487926,0.4271146386197773,0.3598052457701621,0.3331328192771971,0.37819637351099056,0.45984089044567655,0.41178173453430644,0.382187849531113,0.5400655349224389,0.5286153276634956,0.5164502171823574,0.5841458313364322,0.6297062344375663,0.6036982374312515,0.6478847239675066,0.6335311150997348,0.8805945347837995,1.1081813808243608,0.6638386372573154,0.6496822784853277,0.6470514013725647,0.5405247291915417,0.5311286965438886,0.5146589558292683,0.6612251944119106,0.5841462057213944,0.8467524578443196,0.7987501443459769,0.6658289928569942,0.6214119798686686,0.5739265276823623,0.5583841330159226,0.5113341679207074,0.5173135868871871,0.5744016680911186,0.6778454155986844,0.6561111403440234,0.710855651810512,1.0411161462084588,1.4325977149932014,1.4919753028329477,0.8711908200806183,0.8031689886826187,0.9149946655400591,0.7668120395970803,0.693726579170675,0.6973194143938874,0.60154097601299,0.9564419043913036,0.7076724971959139,0.7585681061295679,0.7352918307769506,0.8619974561958292,0.9292470821283421,0.7863289584000487,0.8100003833957276,0.8299254316938087,1.0332391530197063,0.7803004202143857,0.7166445560905177,0.9327844110929207,0.7422420654716053,0.8537344869207252,0.7070932600267443,0.9708858778700639,1.5342504865829933,0.8709916615856004,1.0333860813792686,0.7948612264012068,1.1922114096532708,0.8067041390688334,0.855504524377376,0.7868700595780687,0.7579717390656601,0.7462806175862037,0.7275081581051432,0.8893281514779379,0.5137827888121309,0.5035133802599423,0.5279837991055824,0.6331098685588273,0.7201809831404491,0.6875036001481661,0.8403237739521514,0.8062373615749285,0.9308752693188632,0.8872937615909455,0.8790583752816611,0.729223923948214,0.8312828250922399,0.6925488426957624,0.6300003569978214,0.526846074733725,0.8295952895129258,0.5257338855399158,0.6616018297020699,0.4938115012549054,0.4995278417210387,0.5968160338496582,0.5436068487125153,0.7309027485312929,0.5333255733296544,0.6020321899988561,0.846690326823674,0.5543919081932634,0.38070760781349866,0.37423282829514093,0.3515917432582484,0.38181987730194933,0.4249258937877294,0.5269603090629459,0.538341076894953,0.9667566237216239,0.7150582355718785,0.652114408015914,0.5165808865459505,0.4728028207382656,0.41382532959734875,0.35833961771920825,0.3723713467691956,0.44614549128897674,0.3890662335122691,0.393599779653847,0.4823745359601527,0.40980144062623425,0.4852193720765177,0.3605699283298118,0.5176299042011029,0.35900564608619256,0.3696791472251991,0.5720759108128549,0.4543924303924178,0.49586274937266867,0.4558190980735481,0.5298863297595383,0.6314102355385051,0.6237287956919914,0.5215232799297679,0.49478882870373564,0.4932894712833124,0.42695651280783903,0.4098619272674123,0.38811833123683026,0.39747012600467024,0.4649193787568215,0.4916787003203695,0.7892405416812416,1.6783321476562385,1.1021712977584095,0.6773336857039511,0.4589939354022604,0.48481473011156195,0.4379339128772706,0.45102683850095726,0.4443343928530372,0.4434446997868734,0.41612619894281316,0.4068482655022572,0.491157649791095,0.571479964987841,0.44429911816064327,0.5314791321133399,0.5267161444001216,0.5269719292135396,0.43605075476849847,0.41403493020709214,0.4129142307623461,0.4025483197869173,0.3933250093521329,0.474081057375055,0.5003995468542658,0.7654903543925607,0.47521504295351,0.5071758408264662,0.40515720971257085,0.4033029542275903,0.3918467612138713,0.4079975685640159,0.4275236438290601,0.48366217959233065,0.5325160737258932,0.6689840581286618,0.9391424759951413,0.6200195392367186,0.7042357349904819,0.6711267627224518,0.5327450246589911,0.44459515609011524,0.4063252139561112,0.4381004202792837,0.5182521155856106,0.44922350389120713,0.4814604469120703,0.5570922884343714,0.6503775090841394,0.7699305634333058,0.6206706584955324,0.6618607476434526,0.8648535594461884,0.8725941542094352,0.66727957877649,0.8161239168195593,1.0312375599227765,0.8967969111685709,0.9223677230464423,1.0804274459071468,1.1510096576942082,1.0535291994961782,1.083736456533989,0.9812097854220555,1.2062406838979003,0.8745725146506913,0.9007028214053083,1.029226395260499,0.9886094303815861,1.2554701980376668,1.21859831648266,1.7961215857900668,1.5521554044524701,1.2149675742840296,1.142009102269777,1.2624880026141372,0.7907778281498894,0.7973698055831003,0.9895292074639509,0.9383777125650449,1.001558497068872,0.7508225687557372,0.8581800646148635,0.6847357765039048,0.7372772399081254,0.8331672445659202,0.5930847833948908,0.7227465961545225,0.9123652653770116,1.0199612400168694,1.1639621320219993,1.367748045835692,1.3253504502848377,1.0688126366075983,1.1799014408269402,1.466862747003826,1.1951152123060442,1.1563680936484633,1.3550862616327501,1.386212706015213,1.194267457482191,1.3180901024211675,1.485867384588533,1.4257195814900792,1.3351714439745008,1.4165519295096094,1.238009429682675,1.2292968950097,1.1634116396548284,1.1706410113167531,1.1226133025676401,0.9973692466787734,1.060811213892968,0.9859366301095797,0.997919012009025,0.808933830556796,0.829265990563063,0.9724609756397673,0.7967561752719978,0.724549830349137,0.8048887936818706,0.8434522956203914,0.7772018257532226,0.7328545977247785,0.9026786803196033,0.9896009957065688,1.1638559379620899,0.8142929935985285,0.7019550486749144,0.6909974832711909,0.8165799100914525,0.6730773663528795,0.7118697244263501,0.7993815181124627,0.615146781711131,0.5081860045405872,0.4763943846715162,0.4435556045426378,0.48287144653925823,0.9827534749237348,1.5770617797603734,1.6014445017603351,1.0347396923844914,1.4751419887355222,2.0700635678070496,1.3739874190762968,1.101445807738517,2.0750954638539727,2.3501245282124485,3.998019233865856,5.615986698597663,5.36741517455119],[0.49774495543730995,0.39433757543153786,0.4741895076951285,0.34511156539037724,0.39331986425904897,0.49025381893886494,0.3148576926449772,0.3419496274413663,0.26328532252649073,0.242165858818832,0.29235478120382363,0.38183541687186184,0.33114595674271297,0.32755242678209545,0.4890671258360064,0.44990843723659324,0.46595604383793043,0.5184950733998606,0.550253867592369,0.526994891659985,0.5653386358958894,0.5549377683280192,0.7751148810015795,1.0113611938819267,0.6225021292401139,0.5973489734501912,0.5734466904022014,0.47668941288227235,0.4562808066994798,0.4480163686388638,0.5965791493003954,0.5092247057677592,0.7348328756226843,0.7090260475180931,0.5786537050649921,0.5399470465675309,0.48440176890701975,0.47795446241288886,0.44149760835751284,0.4309691549862108,0.5102143720022808,0.5965572055731819,0.5599118964161546,0.6574084360055774,0.9997828435077238,1.3898479439166698,1.480329223355264,0.8465298406204211,0.7434896459974393,0.867374038929371,0.7399925161705467,0.6598615402501671,0.6064206329054481,0.5293284941693833,0.9214635553161649,0.6076305288288744,0.6599412609255715,0.6600535206417392,0.7738757814500676,0.8907599720621325,0.6868196414178309,0.6984074364899625,0.7251315293883139,0.945421021354621,0.6824445927984962,0.639117752251131,0.8753348038666575,0.6575534953651522,0.7743635560330301,0.6424723117302209,0.8932208818195997,1.4419353787405478,0.8155999799371596,0.981892884760967,0.7121149937163728,1.177043572448257,0.6929821066881233,0.747024310953491,0.6774609564706296,0.6556607241089683,0.6602625651095122,0.6279101516679884,0.8286515115467736,0.42248355375307944,0.4207427462724226,0.4299558427222003,0.5364304676873825,0.6386971577512722,0.5914547906550265,0.7261456080710732,0.7124241050711986,0.8668361935709995,0.810126990095212,0.7844988381085078,0.6601374818216269,0.771850696574835,0.6620538012995413,0.5766063869584156,0.46690175381979643,0.7744817674956748,0.45901339591972723,0.6148797156564669,0.44539606631676587,0.4554854200216224,0.572512619876517,0.5221241648232738,0.7084453751372615,0.5099553216583442,0.5793152734486263,0.8106926621954147,0.5330754844036205,0.327530707388918,0.3091335466210214,0.28565931367428005,0.32048989195181304,0.36547375359542295,0.47280004240726625,0.46890876981520774,0.8754907150375242,0.6570932347934941,0.5924349485087484,0.46410100674982496,0.42389214915931345,0.336783130027453,0.29864698035433257,0.33712854256278113,0.4064592546500704,0.3541627305289533,0.36059118325087314,0.43180103898131866,0.3884810054588639,0.46236428051191536,0.33020882781786376,0.4685440615211939,0.32752580075733123,0.32864340907219775,0.5377014510649519,0.4171338056946384,0.4448515710870684,0.38957286788536916,0.4761310640484746,0.5822265387951593,0.573757652675349,0.4647526760803581,0.4349756388210526,0.43113743972653557,0.36001307433603286,0.3502894545318382,0.3025755403889705,0.33766110746383476,0.39559300483872284,0.439074522444867,0.7418467006715058,1.6178649867136237,1.0713920718228631,0.615867287314473,0.4089361272555304,0.4295768164953048,0.37408291311008074,0.38406772403660433,0.3622291964846215,0.3562296880548338,0.3425354120641119,0.33107957684902994,0.43246264114278915,0.5249820600171949,0.4001247824415943,0.488097066939503,0.5255822508684526,0.502058595663078,0.4184844700484695,0.37567078770706974,0.3473956368649924,0.3211659659223533,0.3012296021637251,0.4183357184034494,0.4480924101356746,0.7172944877444549,0.3995205139044452,0.44090095517761274,0.32640067662566064,0.33991813716265457,0.3282782646072645,0.3686248583546579,0.37931425325620294,0.42723311014111337,0.4656542892665574,0.5986890324433279,0.8893711895471748,0.5931113038119215,0.6968227932952016,0.6204339205160789,0.5016890188260272,0.43502086653087724,0.3890055122977362,0.4305323944956637,0.48802975431356155,0.4105835804976851,0.46697800061916006,0.5402101031989397,0.6218990348410358,0.7206327101278401,0.5848743799277383,0.6368492147520429,0.8216539787335925,0.8304908404100473,0.6476135394965771,0.78712826053719,0.9768369200945745,0.8614663686861487,0.8938336666957267,1.039125548314848,1.1030346146598815,1.0233998274558367,1.055728878450253,0.9664555002215475,1.1715657334792202,0.8736789645236358,0.8838919212042817,0.993665014981691,0.9471067764347711,1.1899113909406056,1.1958379392104768,1.7308320222245448,1.4905909371817687,1.1401360594990761,1.0729381501780106,1.1778399135899595,0.7390663394108182,0.76320358843643,0.9515782675412481,0.8992219332817776,1.0045316726907512,0.7405799522041904,0.8325492960011127,0.7289814723967205,0.7258261284136263,0.828487690045536,0.5784107260183936,0.6754972456674608,0.8593786235560869,0.9662119058944608,1.0877885138417487,1.2885790228086647,1.2379132236383983,1.0040449538975764,1.0999337632365944,1.3746773067497278,1.1247215098889456,1.0826968436699582,1.2575507642195927,1.2945862572630142,1.1224748452626103,1.2325349481935757,1.3838855441146118,1.334100088483271,1.2658405151832357,1.3375683334588522,1.1728793341568786,1.1513265458006243,1.0876062187537952,1.0942787503283045,1.0558019405651577,0.9524047208114382,1.0175989886720267,0.950548471075643,0.9677310282001571,0.7883081612466167,0.8158402694750401,0.9766609626708088,0.7932700876075554,0.7169283460703371,0.7905318298527436,0.8335817622619761,0.7740055298074037,0.7211269050736563,0.8951165209627913,0.9706579439908364,1.1816226672477812,0.8115154227080011,0.6939003147778148,0.6768967118176957,0.7948186811216946,0.6637282692961647,0.7031373043388665,0.7825856487037337,0.6072555172294574,0.5022549257376436,0.45907792501448763,0.4263349353905446,0.4560326775431786,0.9521068240312943,1.5135565675899592,1.5303396793843476,1.0188186620499255,1.427319429387369,1.9784805806890104,1.341191526184996,1.0729157906000946,2.0332612934022443,2.2194262621948813,3.819616462687491,5.32673806361063,4.982914340903767],[0.508885017007515,0.4248226611925045,0.5354235663293926,0.387304174561234,0.4642046287768563,0.5491743660245788,0.3567521971521711,0.3906840868611182,0.30417560329006976,0.2665676752151841,0.31357250835516254,0.397360875229072,0.3236725656295481,0.34175150468800247,0.5172330617071564,0.44701877682806507,0.45383453509473537,0.5183428847162233,0.5329241096469894,0.5232722894540986,0.5559819929340468,0.5383745792748873,0.7284429817770658,0.9473189463031256,0.6023114985917571,0.5722585633059255,0.5551817578962588,0.4582607461488013,0.4644634108663563,0.47308335993609835,0.5965270997581504,0.5217384196661676,0.6991898495007995,0.7046495397336806,0.5823384292445852,0.5446688102649937,0.48287172843197423,0.4688429027265719,0.43052718521545097,0.4117145878476877,0.48742876963905296,0.5689743226578098,0.5261501582536282,0.6301582320791168,0.9523353617517992,1.3577408753356242,1.3880298055606075,0.8097694803749842,0.6991180469408331,0.8010540499665083,0.7080639888412219,0.6170729744375179,0.5750205756181365,0.5009944989455224,0.9606753173795212,0.5932470369783079,0.6358407860788894,0.641741851028928,0.7709479299240933,0.883510815919597,0.6746456788460068,0.6851599522865691,0.7046559453615255,0.8860676952105522,0.658307421340627,0.6281259645075179,0.8685168331927838,0.6743728652227119,0.7641703648203841,0.6539524402404476,0.9046264478549972,1.4302922168931231,0.8464236152693527,0.9597609905723904,0.7231751751293575,1.108988429358508,0.6858126379643171,0.7287930393350623,0.6669962398196786,0.6417188038055809,0.657308995469296,0.6074457762232138,0.8368999128082082,0.42767239151951725,0.4024904789057321,0.4348634587176152,0.523474086753913,0.628973611945032,0.5792466030862844,0.7391162409555346,0.7086199306739897,0.818868838265579,0.7901886783450062,0.7811821238198154,0.6762658103504937,0.7990896459042944,0.7167262740739212,0.6056883046319358,0.48409151538555645,0.7562561468868377,0.45330451015639706,0.6279702035486211,0.45517478744622536,0.4862898785957688,0.613187675731956,0.5684512452117509,0.787617594783444,0.5958177410335073,0.6538923768114173,0.8644514254989538,0.6007762170441365,0.36934063309803583,0.3398106611412872,0.3255066281005654,0.32524578867041043,0.33768713279334583,0.43488517123867115,0.40673554998918243,0.7858127251585008,0.6313261660222275,0.5608508336247681,0.4297907839879815,0.3980334497580276,0.32799644262494587,0.3211405076408889,0.3895963633555349,0.46943586333452947,0.4110275235105287,0.4200839793962797,0.49230777592896635,0.4519681194240362,0.5441628724844566,0.3971636064312834,0.5531266701421893,0.3653174722699684,0.3568621432280439,0.5646727255407719,0.40754675132750934,0.41419275167957337,0.3464294561527464,0.4224356686941017,0.4956576194182578,0.5175471733233268,0.4117235256933482,0.38795746047710555,0.4081072096635503,0.34099479486905143,0.34871285474593267,0.3201506766099087,0.3660934074278624,0.4395296629849238,0.453341952140557,0.7686015377689948,1.6097976468300956,1.0444574742904338,0.594440634134841,0.41209769911642763,0.44167539211154355,0.38597789489479306,0.4235392967766156,0.36924368096583543,0.36000932980354955,0.3181500513491288,0.31317753150656436,0.39538958024822946,0.48473015578326906,0.36530534302067647,0.4423517100086061,0.508270839516911,0.4651891272578505,0.3959980552848226,0.3494593477134836,0.3437200129726825,0.3377470171081881,0.31569646873718454,0.4378570450848695,0.44510191060521037,0.7237451255035283,0.4111420787332409,0.44675375650080357,0.33689791536237673,0.38146235589298944,0.37946732436275765,0.38807966362712726,0.3701395695995513,0.41382508479350993,0.4452515277849172,0.587559026650083,0.8466430158132026,0.526106918878541,0.6276763082609524,0.5967361608731904,0.5023228032468249,0.4623796665701771,0.43152551369407094,0.46400164281741185,0.5113955849648238,0.505862457687257,0.5457569910776593,0.6177334718184572,0.7215154469984838,0.8058673929672799,0.6701564000025949,0.7291666050687462,0.9131262860753019,0.9071676664965903,0.7093814635906385,0.8686423811633068,1.0599009875809486,0.9306873392385876,0.9674390782869234,1.1206196894681317,1.1691600027986682,1.0899528911101988,1.1330981374274094,1.0443631430420581,1.2664587498072875,0.9559034803124156,0.9754878568151947,1.0920685807886887,1.051513051955083,1.2488301813911606,1.3124535944029336,1.8220133436146242,1.5629742289003914,1.2238120997412276,1.1393015701624218,1.2495335659215008,0.8412733449433382,0.8879232392441467,1.0423436055683353,1.0009592103531686,1.1246882550630848,0.8526497921490961,0.88347568836186,0.7993783638566718,0.8062973602990815,0.8293380830015513,0.6693772862418566,0.7456172457399609,0.9301076122998045,1.0445023689266009,1.1458242099953504,1.340300726769155,1.2730682729712344,1.0642576336167788,1.1643791060252449,1.4115994821280875,1.173071789295238,1.149558083799305,1.3103116023275931,1.3408565365501601,1.1890850856839226,1.307150936668366,1.4455530014354483,1.3918032563777532,1.3436213985018393,1.417686967695048,1.2610057622912283,1.240585588536057,1.1744812045890007,1.1825254446518336,1.1531294717626202,1.049820749558742,1.125148859461168,1.0570667202617752,1.0684005855858831,0.886874447657914,0.9320641230437705,1.0799951276573707,0.8765441096969893,0.8046287870546065,0.8939941466015628,0.905236474559209,0.8128605605324607,0.7724899245973907,0.9206983600793027,0.9783921331996581,1.232205107163856,0.8444325345875483,0.7592266049778069,0.744171705365305,0.8330131050984699,0.7204988438146486,0.7351016859551409,0.8276988422085628,0.6837213122250784,0.5517032245820136,0.5288853550207809,0.4856290298828942,0.5206822138754078,1.017389870371362,1.5793770103904003,1.5318564000966384,1.0478982464829498,1.495022557366637,1.9888025805844103,1.2953845868889198,1.095689714897084,2.0705292003882874,2.2112970154072125,3.730416449303047,5.247225918299686,4.889934220191012],[0.44814380456354275,0.40024222724955144,0.47324915888679725,0.34232506042334776,0.39745288591979505,0.49877720572852036,0.3430771899929402,0.3629911674911733,0.2804539231784932,0.24792252564458528,0.28647199608358287,0.3838544732067899,0.30175518710158117,0.3236182526980556,0.4566876116691026,0.40708624879156535,0.43439700787994157,0.4602736056912318,0.5127183955757663,0.4809145504230764,0.5185291971131286,0.5104024954913775,0.7077275576577133,1.0130230860520777,0.591680959481699,0.5683539008470782,0.5137296924558817,0.41525310269142635,0.4178574762407095,0.4177962840611106,0.5296666421886423,0.4616174579702561,0.6355448402404964,0.6327258876963203,0.502677239507935,0.4831217468624535,0.43508804656059397,0.41436397898195176,0.38763143095514474,0.3773489877177865,0.48040674723486215,0.5411872795442744,0.48405165130857536,0.6501304722206378,0.9936149432058299,1.3657612050016819,1.4670788269536288,0.8691267802040177,0.7260981361155449,0.8584886126530054,0.7280390477430133,0.6465446410310652,0.5737406313036677,0.4941239105476044,0.9274730529186399,0.5308966964996449,0.5835115579175284,0.6028645796339727,0.7080023409607329,0.9120288616489748,0.6278900322759059,0.6046038824751975,0.6257347621016817,0.8289089199832491,0.6099767941374495,0.5846704170285457,0.8189779297879743,0.6124645930167261,0.7531491889631595,0.62183407948866,0.8307468449764666,1.3239965049251223,0.8020529574738972,0.9840198055775564,0.6657932211476124,1.1533320290499949,0.6170797747774479,0.6579850235702107,0.5786951043560276,0.5677631621362594,0.5700145190806521,0.5523290322301171,0.8015055631622372,0.39309547464425987,0.3820546123606592,0.3812841632756597,0.46583755266773974,0.5806233210329278,0.5093790956163661,0.6701749739212007,0.6514158593520087,0.7913402242788113,0.7203169259184697,0.698459732006849,0.602130852120395,0.7240648574475884,0.6366847009751262,0.5560980371109604,0.4567330774406937,0.7499210273750934,0.41959668004066336,0.5905115367277252,0.41598897083508063,0.4567177348447502,0.5664520333677309,0.5475406502438398,0.7215934932533776,0.550410986238534,0.6091136445438805,0.8063272244308423,0.5833797496131142,0.3555826803631163,0.3187462620219731,0.28717866864566316,0.3159251759984558,0.3280980769300061,0.4143846269564911,0.3949080621974737,0.7637806493434163,0.5812014045118493,0.5260968268921523,0.41955962027530247,0.3902711848044106,0.3178763418806738,0.30504504499852286,0.3633672040424821,0.42355686642640966,0.382180870765973,0.38780544648909965,0.4491612427439698,0.41793593421457675,0.4960382548702011,0.38649399751032304,0.46976303041073303,0.3789941359976155,0.37718374756992384,0.5877165387087137,0.43174416983066816,0.4052803891234815,0.35660122142673617,0.42429287775898467,0.5571708592472006,0.53297079728704,0.41127065137077,0.37807060940234705,0.38851053389387785,0.3237462456358513,0.32932173334490206,0.3017595286193427,0.3432891440677521,0.39495379322925145,0.42887970158333755,0.7201434686881962,1.5575706764203832,1.0747197865825047,0.5658738514709332,0.3891154356417553,0.41023054888712895,0.3674012406310224,0.38671681060553587,0.36383506714706415,0.32955024814809386,0.32764814687046384,0.3231397106742194,0.40455282298399997,0.49333871892151915,0.4064040234277828,0.5059058986383885,0.5662088266231123,0.5194188748702115,0.440261492266796,0.3835722084566442,0.3537034703337224,0.3442307784400821,0.29659420539945136,0.3956424164325086,0.4284103467921524,0.6868567270530542,0.37406625640598623,0.41049487185536393,0.33747700889573495,0.3612203752371145,0.36232475018007837,0.38735955242852943,0.384928699629254,0.42470253790110873,0.46503553661200886,0.5718201664664148,0.8721088677607822,0.5842067653343496,0.687689589868923,0.5932074587023817,0.5177716034624453,0.48691853664377965,0.4498375023711321,0.4866089698999737,0.5136120048049961,0.44290719969786363,0.5057725317844614,0.5677984079843783,0.632628305036393,0.7126036608199752,0.6040048201585878,0.6684156428435316,0.8244355509236667,0.8403823602490504,0.6878563046017098,0.8179847474558751,0.9708034250627402,0.8841620232886244,0.9189162344271575,1.042994690302809,1.1090724316607308,1.0267044398671274,1.0725836861189746,0.9848570418157013,1.1809900484189726,0.9001446820430092,0.9056670459513323,0.9971321552552947,0.9500363344274283,1.1962732019252507,1.1953523979937102,1.6598739600751167,1.468046319919275,1.0832542205827813,1.0174704472675589,1.1007296967815758,0.7329468354319063,0.7745079871342038,0.9428003092591912,0.9045269600408463,1.051955776981932,0.7746016625205059,0.7950488820639652,0.8131102193222357,0.7942476846190486,0.878506370773362,0.6269461291267819,0.6932058985254217,0.8318171883872935,0.9259457519977653,1.021015822684268,1.220729756975704,1.1728042965554066,0.9562228906358419,1.0201906978295747,1.2764450016701994,1.0618603622906735,1.0323827817670572,1.1583492635789032,1.2026491489570539,1.0749892396053804,1.1648556591640056,1.2995565915367422,1.2822461062369395,1.2288727611372634,1.2808775698835442,1.1419575827721358,1.1009634416135672,1.0483961485694695,1.0558930537526148,1.0246447284976063,0.9459741353461159,1.0015331298966097,0.9483548074469765,0.9703030640030519,0.8145468145188807,0.8340450090950841,0.9999697948795279,0.8295169416711186,0.7789126729801598,0.8272808215060903,0.883553815236634,0.8252507985407845,0.782893767730575,0.944193584977923,0.9958627041315492,1.2323939366678336,0.8363974601704073,0.7174396865224424,0.7050628713498277,0.8086572780942772,0.6911873604448711,0.732173942595128,0.806533933072486,0.6525834835488009,0.5156244985391252,0.4864034231455645,0.45111743829845674,0.4712925526976575,0.9576834189351022,1.4483890877195522,1.4445913637248176,1.0442255857142086,1.3794120617693082,1.8519000163008572,1.3502645682015484,1.0767029865014233,1.9348977988283425,2.016019508392732,3.564130930620094,4.862800549930034,4.425968095152865],[0.5338162273664059,0.4555580649581511,0.5484872881222885,0.39200325302309186,0.46356769175510215,0.5121944919961231,0.33983134761298683,0.37561646168562235,0.3121042309700039,0.2730927947489681,0.3522915973239185,0.45014396400644563,0.3080085714826537,0.34082344797283276,0.4884173577730957,0.4217672484716743,0.42997286482488056,0.45810804264937327,0.46817097403206437,0.44273663675252223,0.47933782168981526,0.47296999468382706,0.6085653433444416,0.9034436265620632,0.5736495823680029,0.5416935018699292,0.48033358850421604,0.4015509583331836,0.40853618050859064,0.42475891443732217,0.5445473256962193,0.5046213744640851,0.6495100270188252,0.655515450276218,0.5160403384409803,0.4803115532490367,0.45797071382524956,0.41714131818517336,0.38042937503615676,0.359065602389359,0.45705744581981506,0.5171338489302723,0.4634910350801954,0.6196159926647994,0.9365863694468495,1.3326257874088552,1.3829116218449342,0.8106806855047674,0.6878575150716266,0.8094253015825521,0.7274685692160936,0.6165562726957655,0.5188408204659235,0.46769496224933965,0.9001027406986805,0.5041362806535792,0.567007899683935,0.5741730192746831,0.7304768604598216,0.864442198847862,0.6045900446233051,0.6142601326856708,0.6154098193393112,0.7798895752556465,0.5599337777915777,0.5506606897748917,0.78476804810163,0.5793940142782616,0.6992387387686202,0.6101808898536177,0.8421543662048608,1.3477580155647473,0.8227329431426205,0.9132439306491809,0.6690522420113275,1.1221716580316305,0.6004080755878001,0.6408134822904641,0.5785778266208882,0.5660304799272953,0.5909959809858973,0.5440236389577194,0.7680445033123793,0.39906564565240665,0.3661456730568377,0.3781172396361096,0.4656580579457587,0.5987488102310493,0.49510557231684715,0.6830064902973094,0.6304008371759572,0.7745208549524896,0.7194807616431951,0.7278265689462122,0.6399141888841883,0.7595146669620945,0.7180022146178056,0.5965034967293795,0.4933167033029478,0.7378764745622913,0.4828754251818759,0.6298059678561799,0.436923758771513,0.4380563485895176,0.5577070842610519,0.5773629272320109,0.7987203936327119,0.6368370017965769,0.6851985606300808,0.8437243229684304,0.646183981654569,0.3834271331630292,0.31437444579208396,0.31251809303786754,0.3040531219997751,0.32555908252593807,0.39398563113390184,0.36303215795564575,0.6947116742833687,0.5523578687115855,0.5051530054298575,0.4050717017632102,0.3816679278464594,0.30134845386994363,0.3164308179986973,0.42529602548608314,0.46665135341676794,0.41632187151464856,0.4586374870102713,0.5046918486880546,0.5029236628321262,0.6050128484021473,0.46605048350217004,0.5536797022195523,0.41538122133954875,0.39482181240910313,0.6264884715922078,0.4480364071143043,0.3884900123475683,0.3062816768487459,0.37855693010010466,0.4952939639583692,0.49995819699490135,0.37344272579448645,0.33983436556387886,0.36018930872439286,0.3013365521578401,0.3262191930770807,0.2908648226688663,0.34244897400035795,0.435675312587629,0.44747377274026673,0.7560119203835146,1.4880015635490442,0.9909124630084966,0.5680851689350943,0.40538679817643614,0.4139675632784608,0.3528086978690876,0.39171097022850704,0.33420026561185734,0.33055257338192934,0.32612979802029063,0.32227547230625186,0.40419060039634874,0.4684757063763273,0.4060204674893542,0.5028748654223574,0.5904459419259911,0.5352928743068733,0.44879933741457917,0.3816738605364153,0.36597047035669616,0.3606131271441333,0.30197874448102513,0.4021526456664567,0.40584155156168905,0.692611892111268,0.37541485281207965,0.4146457752808311,0.3565234217368301,0.39692709657449493,0.4169646479098944,0.4287451089680698,0.3950038955719835,0.43338504612510226,0.4808821512185274,0.5683570571397246,0.8571559619081288,0.568143025518311,0.6476904239499651,0.533950408667306,0.4889578403032718,0.49433840103232884,0.4959697740130051,0.5426935366694716,0.5749167869616036,0.5622758658433769,0.6159446205850281,0.6738057905651523,0.7547809680714402,0.7983351419466495,0.6874380002265966,0.7781217445884379,0.9383721453338096,0.9198743396705626,0.7819893505589832,0.93331807122054,1.0819943670487044,0.9683928046012182,1.0328717011792934,1.177485183648188,1.1973033140486622,1.114805154900543,1.2058498956367383,1.1121702614850812,1.2993623357245099,1.0686148581366752,1.0602635291643234,1.1498223616499759,1.1110096388215769,1.3223676642436863,1.412971705541058,1.8027256941432301,1.5469599021617255,1.2192720870820093,1.1375625162398109,1.1969976176855839,0.8832620408856735,0.9565088047195826,1.0711100885444576,1.0422885324584636,1.215652960096171,0.9299834033027697,0.8967521038141875,0.9450095459789016,0.9055986432007336,0.8681379312969756,0.7476025487335328,0.7940476405775537,0.9213859546841261,1.01334311462057,1.0679655451994536,1.2918093885295432,1.1775459940054374,1.0239387697967157,1.1200419941323119,1.3509437669843487,1.097676317327631,1.110727553159172,1.2309287918345313,1.2591608547015987,1.1570683880611,1.280634852750432,1.39672311131485,1.3578871383824873,1.3479954009383663,1.4194025662614254,1.282205055261936,1.2448651673178277,1.177464875005411,1.186512864982724,1.1798664044737097,1.0881449858332877,1.13989814183673,1.1143343265723182,1.1257298111884848,0.9598502023231161,1.0202914444515212,1.1762239173299156,0.9726275537555338,0.9036461778370506,1.0019650407464828,1.041187134282598,0.9345087613451099,0.8870804744311753,1.036514247671442,1.0285130069591961,1.3944987790381316,0.9516818353357128,0.8499586503504071,0.8275684051732682,0.91784658222367,0.8251436985789214,0.8435916874611233,0.9027333681933964,0.7860086679132895,0.604676972150883,0.5922965990334912,0.5299144374530207,0.5278929116566898,1.0248855122032823,1.515593806736258,1.4310919112724672,1.0384281240477264,1.443008548774038,1.7746223484720391,1.188988740402424,1.0573758131486863,1.9299168612804947,1.8319312332650635,3.2458829123343023,4.614097161685128,4.11075518248709],[0.4576249545922511,0.3775783565051741,0.48499519144727504,0.3268317464667906,0.43142939166157834,0.4352416522679541,0.2890845883449798,0.3855010806579134,0.32719666984642615,0.28827505281874416,0.38850609107616724,0.5247267844235751,0.3497043213568138,0.36593079036982584,0.5205616885254943,0.44440760440533456,0.4519169403816254,0.4744757820827962,0.46998811502074567,0.45183153873550785,0.4749815917949551,0.4841624202996115,0.617885971095242,0.9047252618331221,0.6057973874386782,0.555174783487295,0.4844308029386377,0.4144705238162213,0.4412881756454849,0.45361710442995506,0.5502391688587568,0.5335123647973705,0.6473522331622236,0.6574315925297863,0.531017548564483,0.49715258256254197,0.4889094665441673,0.4422670998452598,0.40515986298246803,0.3781353412758971,0.468452178346977,0.5305186581348711,0.4769332936791576,0.6393272196080294,0.9616889972567311,1.3722544783684474,1.4218951281376997,0.843693089031511,0.7110285196552165,0.8184779085039673,0.7456765779033511,0.630121928287207,0.5358053913090179,0.48279843343719053,0.9108479201268197,0.49976413411835796,0.5740329285060082,0.5871819351288993,0.712795647738432,0.8758163576704558,0.6016521212147118,0.5959022376472836,0.5969623986719554,0.7442005781825878,0.5446986907880249,0.5454483428804269,0.7786630406517744,0.5654139619988352,0.6963807640426474,0.5948841137025751,0.8299338793467136,1.284283766173678,0.7937221491811155,0.8848761511063308,0.649247571441234,1.085066206068368,0.5760226936608899,0.6269887057645723,0.5759432213012277,0.5590542661232165,0.5947791788982736,0.5481593471529748,0.7805763093368856,0.40074155837572667,0.4023120472272672,0.4070285729110511,0.47488702951740913,0.623956258589662,0.4975648797343328,0.6743893284636897,0.6224203853390046,0.7489440430068411,0.7042990180438347,0.719045898009874,0.6458900673384584,0.7574032550602213,0.7210190781373927,0.6245338847896161,0.541276180650215,0.7914307330636068,0.5292492680597162,0.6762534805860221,0.49536901378523784,0.46085980921414665,0.5928512939819329,0.5688131665680791,0.7699401141663281,0.6007410566813015,0.6437952219459016,0.8037251626201264,0.6204077439586444,0.3794878266292708,0.30295322860868173,0.315901380616686,0.3180967901344633,0.326167498141732,0.39804834897125985,0.33229301991121374,0.6510784004212057,0.5392601077300531,0.48345390151892126,0.3969654179265369,0.3590476082061322,0.28915103433975403,0.29097269643046414,0.41124364018258197,0.42594935062241907,0.4098251502455241,0.4241902190655898,0.4771855394493909,0.4727464017320695,0.5771593124740597,0.4488484685064698,0.5282544717082374,0.4085700085207728,0.3942109358060771,0.6157952463303478,0.4207427500654909,0.37146337357417364,0.3202953740970907,0.3789644785292133,0.5015526487746581,0.49673658700497236,0.3707738053261438,0.35593472154707834,0.38102859166561137,0.3209045260596795,0.34761515519270064,0.31683957478229036,0.35229652549546364,0.46699538773247384,0.48810703458764865,0.8027824177806139,1.4938541083849741,1.0180439687801675,0.6260402268998069,0.4612145598395863,0.45600940736899637,0.39674488658538476,0.41962853943363754,0.34707451721262206,0.35047518221363005,0.3277683690066425,0.3261134059785471,0.3942493362292063,0.46713728018691253,0.41049111117394926,0.5041627158080942,0.5879088366012165,0.5292671972870987,0.4350976243195678,0.36479952628769324,0.3696322918291035,0.36998643347452226,0.3240278593624118,0.42351237340212283,0.4453976581309317,0.7180192659185209,0.39717261376043467,0.45024818806740763,0.3839313686244904,0.4014089641597325,0.4031810939053744,0.4346507817496245,0.3851555137442588,0.4437404676820228,0.49414176091769696,0.5701229345173703,0.8565124206190307,0.5778353523562951,0.6480805053505252,0.5036279326514953,0.47534281799928707,0.48085336389422173,0.47372901280484053,0.5506882538138842,0.5578929981512957,0.5210560465553817,0.5660942776972517,0.6133184310355122,0.7037522945425478,0.741853122427248,0.6233077411350667,0.7298374786578284,0.8791921698714134,0.8514298898346228,0.7405696139817545,0.8878567937443878,1.011747663188865,0.9068836178560259,0.9880292040338162,1.1157531097157283,1.114407659008473,1.053731004151754,1.1674523399799748,1.0894753654876388,1.2831538388610373,1.0603031428299983,1.044437683266055,1.1229465113986852,1.0860861905829964,1.2928891218621992,1.4077080850647299,1.729746448102402,1.480972946219171,1.1420970272842261,1.0415242634516835,1.1049736367347072,0.8456451474467815,0.9239709275942224,1.029160439796069,1.0094531817703618,1.231429458958272,0.9223297856921523,0.8798667477559421,0.9651993035283691,0.8929260627884088,0.8547969275589373,0.7131954074414986,0.7399302912174311,0.8413764367858062,0.9506174148398119,1.0000132806146214,1.2180967531407707,1.095680995075607,0.9533612390031235,1.0307998570442414,1.252208458385795,1.0309370937880586,1.0206192454786196,1.1391571406435481,1.172290326332527,1.0664915068058112,1.1939266559427097,1.3107351557430518,1.2727693713513157,1.2692621678359979,1.3437824687510906,1.2141420534111134,1.1702381882775021,1.097000525786358,1.1089219802557788,1.1148406815218155,1.0359169441960403,1.0939491306436395,1.0751061460279707,1.0883394086280789,0.9293075803557558,0.9997457602302077,1.1627350044430027,0.9561173160039118,0.9006608179079678,0.99028694861364,1.0394284858096325,0.9366323601059152,0.8953666480126591,1.04570054513761,1.035683632743193,1.408707726416015,0.9425492849972784,0.8317502192230346,0.7996460068649118,0.8894773280285508,0.8192409963885644,0.8404158543788582,0.8809356952131533,0.7514762802455949,0.564266543620747,0.5363155435507385,0.4756149172495005,0.4659371386454596,0.9538639290501537,1.4050711307118455,1.2810372703991113,0.9674897472560922,1.3408837066130195,1.5771572298927015,1.060770132261416,0.9481419933865963,1.7796852440718698,1.540550323572752,2.9039099430558752,4.1858294983295545,3.647192108347662],[0.47818443402292743,0.4254392527146587,0.4812486216360132,0.378728783115778,0.44873671668475995,0.4036262970257463,0.29676484335558856,0.4053259310644982,0.35553137384171707,0.31645011373708765,0.41039302475626327,0.5319214261206011,0.38027933286167376,0.398376083344014,0.5230904679375311,0.4589017873553696,0.47847927604284163,0.4970417765928176,0.5094785654334828,0.47217571041693457,0.4947068793521674,0.49611571342222177,0.692556949603604,0.9700704657442611,0.6514422817574818,0.5938571549293858,0.5250868075137591,0.44481310035584215,0.47101029532437744,0.46146933704001514,0.5580487069736739,0.5447755288670958,0.6642957917610285,0.6634384035388611,0.5424730972095111,0.5075442096341946,0.49223775187026,0.4665716414678398,0.42340548207644463,0.39792558246329107,0.48827355209374873,0.5570095080362709,0.49041025573096886,0.6646743602161825,1.0018456284245643,1.3927554735324295,1.49602518090265,0.8615170369257882,0.7361895182679207,0.8626656199568409,0.7531177196649356,0.6488915476132098,0.5694324298772724,0.5059696836691042,0.8928509556657502,0.5121939872565618,0.6022766754603244,0.5883279007902632,0.7187649075150763,0.9381753787873544,0.6226303246758904,0.6373582758717943,0.6444098020890039,0.796143034632562,0.5807105498518954,0.5510705052252506,0.8014222650429278,0.5813308124851734,0.7142169671788239,0.6067208226437438,0.8326565388639601,1.2639977608741975,0.7859893514733579,0.9314935158712055,0.6722492254395424,1.0982823495639562,0.6128102783433554,0.6465739897466796,0.6054566175667622,0.5805398295916583,0.6009341527368768,0.5588240797257653,0.7564240278587393,0.4246979000675321,0.4177143426362684,0.4205722095044316,0.4953043953899039,0.6314520993119892,0.5175118922872892,0.6846077847495498,0.6456180640838479,0.7884403474149734,0.7177030748180813,0.7328342312906383,0.6554034137943336,0.7659835648413701,0.7134542618653179,0.6214632048410605,0.5464423069137404,0.7768196085882403,0.5394269432499534,0.6710892087751131,0.4971347551900156,0.494673410512128,0.611969578990613,0.5689170030838783,0.7698034209098982,0.6003966264406493,0.6370812686402163,0.8066193995087475,0.6254935355732429,0.3890463881643172,0.33007967809574595,0.33760181509604964,0.3465835350569393,0.36474007074111814,0.4323841491399043,0.40442530401242394,0.7258418066421507,0.55255078432555,0.5409549601622365,0.43099037810242985,0.405913966128693,0.3260711805162576,0.31600563067532056,0.4074790306808873,0.39798251770797194,0.3912900275935409,0.42581707980280514,0.47813681368867317,0.4712481968730042,0.5725112072625373,0.4542057268571672,0.5211491623469012,0.4132468784562691,0.39340580909379985,0.592459287772386,0.42503197913561364,0.4089488731024322,0.359133285341644,0.4210064967169261,0.5635177518868143,0.5531822418482902,0.4262251941711579,0.3930414729925284,0.40238455640386894,0.3418481367116933,0.35728534033245174,0.3360928935485315,0.37772696443623094,0.48793980713287644,0.5133567038166015,0.800017838284269,1.4451694946264768,0.9836050277222305,0.6251083709458736,0.46975524145797654,0.4709795601441331,0.39597650949100976,0.43770361006005826,0.3546277526219656,0.3671630010695001,0.33551738742988024,0.3447532102260047,0.39852670019358866,0.4976490539742686,0.40843359151067393,0.5186289615936427,0.6039899660920417,0.541106763241238,0.42814306843694117,0.37238080086479936,0.381517805815583,0.374039815905584,0.33715678791620746,0.43439745219814013,0.45586136961015966,0.7120241992907202,0.41553721226969353,0.46981120028173873,0.38138362736348963,0.4003793796953902,0.39834181669141266,0.4382329347245599,0.3876260382872229,0.45250468191858745,0.5129089487861791,0.569904687493172,0.8753040776909771,0.5963562126262781,0.670185371376624,0.5112516429209971,0.4899561213674269,0.512584003746738,0.49845292925750573,0.5634801402445415,0.5473931456859231,0.519206613627651,0.5646871255118612,0.6216007781520267,0.7121235860632167,0.7508704593500779,0.6244379403910107,0.731266034513634,0.8855997269239454,0.8467630478118997,0.7431496962671785,0.8975038064612405,1.0305494882935797,0.8980185458259397,1.0045786788426343,1.1462868158409836,1.1016479159450518,1.020745054314035,1.1825196752834337,1.103992568179283,1.32677247015484,1.1226511294685273,1.0756625017966879,1.172645122932998,1.14900657360325,1.282507654728605,1.544677430233058,1.7341982008900485,1.4578015047160229,1.1517113986594911,1.0301620472215451,1.0660568635006138,0.9233683946193914,0.9477408849186225,1.0294972737514323,1.004770802572061,1.2494270364454354,0.9291451308290157,0.854883784970609,1.0162586980410748,0.8948352356264692,0.8763409640509456,0.7110521064894544,0.7208658028618561,0.8172209239402773,0.9323430917959162,0.9899915970662445,1.2679533797129503,1.0943356261970163,0.9639102190463547,1.0585279323981094,1.2875472142445166,1.053849675960603,1.0299389241506551,1.1716427963110354,1.2075964172566986,1.0843774852224155,1.2406710898413782,1.3638229433428857,1.3092610305098906,1.3097663593781488,1.4184131906476554,1.2725855716396217,1.2246833893126927,1.125141557983913,1.138670535586746,1.161538477959755,1.063822943173488,1.1150518264173603,1.114715037245941,1.116082369305461,0.9481547261619946,1.0426223072882606,1.2149641356091223,0.9739417074866096,0.9165160445124642,1.0246582073775368,1.1009868408581083,1.0004919025962307,0.9497591684479083,1.1359288812505697,1.0991403794217212,1.5373089523951742,0.9793024468861476,0.856735584384574,0.8128074699147886,0.8925448206972278,0.8491780646480175,0.8757776633506638,0.8754920349573511,0.7592840886995073,0.5698856362489996,0.5331315180482216,0.46901024914228356,0.47689035177830397,0.9337337599960035,1.3464475781137821,1.2209767717697195,0.9404404325587185,1.2707819920190409,1.428481209418013,0.9999445947318215,0.8732215743121577,1.6018606324000644,1.2974704666571526,2.5612723581933095,3.8491680213763693,3.442427971203315],[0.6067457226530124,0.5553920340493114,0.6436377366895539,0.5205230826280511,0.6284892738571476,0.5745539478559234,0.4223769647832619,0.45318356394818926,0.3881018585683744,0.333392990451523,0.3986161403453202,0.5388413731931297,0.3567477256512497,0.34886111221854993,0.4967143438175305,0.41466123156457474,0.42339772161007155,0.4286568229808134,0.4460579322698475,0.4521792199680817,0.4468733329106302,0.45236745899286257,0.5911623484360298,0.8553197784846573,0.5989680553307516,0.5403038031937692,0.4731465589128262,0.40970326482977554,0.4177162319639378,0.45111796236051266,0.4934247991897819,0.5458440572355393,0.6411345827903894,0.647643598813638,0.5251814889727171,0.4668586636857655,0.4998030627925903,0.42498833847557027,0.39033738866802414,0.39320495392402244,0.45750089572259056,0.49857274763552445,0.43751163110884916,0.6524409689072604,0.9043041865690514,1.303893725986247,1.3234173673838812,0.8437160157728265,0.7048790830223894,0.8275109509104286,0.753036013859923,0.6263527439403814,0.5178157493166277,0.4776363097363851,0.9447859083271611,0.47661946537740674,0.5550998729674772,0.5332791046484207,0.6903949640247191,0.9036035297360769,0.5849213900873513,0.5784162953289815,0.5484203865530103,0.6697803397741111,0.5051760626371504,0.5029608927327541,0.74461874161028,0.5529510941931045,0.6526808862775813,0.5714318714688849,0.803690885704617,1.2544287269539622,0.7641674951554522,0.8379568568569221,0.6095713331597509,1.0507594117100383,0.5437721894639571,0.5886484139876083,0.5431028095746975,0.5137058440683838,0.590782533753236,0.5515164070645321,0.8105991943662818,0.48890235564085294,0.445677016102763,0.4296101682566491,0.45930442087859535,0.6315806391312245,0.4626659465433587,0.6663226887450009,0.5982640996536218,0.7065749350191016,0.6696821124807412,0.7053050136642878,0.6190506592347893,0.7385627872497444,0.7044743269194877,0.6319522555699074,0.5734634926947059,0.8278993890650209,0.580297492679688,0.7212713842513839,0.5428049312887823,0.5435690035653012,0.6489508750081259,0.6812073773432167,0.9272922337723919,0.751467998337833,0.7715320922779912,0.9080453822184944,0.7533122059705886,0.508299262677061,0.40837185915640706,0.40321153801278076,0.35889378162870683,0.3961687630884538,0.41081353327967823,0.3795816809156127,0.5989070890524396,0.47570988948603404,0.45467285078275127,0.36670884757537175,0.41080934473679454,0.3683737006855245,0.39871737792654655,0.5801543240376781,0.5717435871117357,0.5536864393692521,0.5806049740562744,0.624670147081622,0.6443613750007056,0.7551227797628602,0.6280559610980644,0.6756424911506507,0.5633507929114587,0.5292569313617106,0.7091715206233679,0.5423037419641108,0.42685866240028214,0.34644168161802547,0.4845956697318557,0.5027660895526519,0.526429387275222,0.3815134831597758,0.36207409145150216,0.3850527327062544,0.35377870078734613,0.392431859804931,0.380230718583693,0.41731508012129964,0.5136162135830802,0.5267907239028327,0.833054497914493,1.3985259026341108,0.975466756369427,0.6607081386169409,0.5108251186043701,0.5174146613095361,0.44910436841749113,0.4693659520314607,0.40848011660313327,0.387782765956484,0.39067921842367687,0.3878079724549086,0.44922799743002295,0.546399942404624,0.5223474678259762,0.6271118954474506,0.7303843822548082,0.6470761280693621,0.5639417921635148,0.4796704452029483,0.4517101846872983,0.45122773197352994,0.38851508035386545,0.47162021795613274,0.45203119256457436,0.738370190866732,0.4625155928690085,0.5054247088512008,0.454301135862749,0.5135900683644464,0.5466260144508848,0.5706968406874677,0.49266504836405556,0.5133107270538566,0.5498665121740103,0.634985980183851,0.8896880415834229,0.6289996947956686,0.6740663787536748,0.5653766570583021,0.5926878824907015,0.6186291622282974,0.6541108317555069,0.7130487140172459,0.6973204411100445,0.704235987877945,0.7454217896202738,0.7748465336684891,0.8629543817154759,0.8689048392639085,0.7629060615183555,0.8879364575036077,1.0163634604617164,0.956306556486395,0.872189139391985,1.031703463660278,1.1286819307073745,1.0072178276480064,1.1175438042724761,1.2443414212195534,1.1732550814030933,1.1385858948467404,1.3138991697538183,1.2599129107784743,1.4201980828524186,1.2866204795854068,1.223443950107104,1.3010078998515273,1.2730392731941227,1.4037719502526778,1.65711305267241,1.887646227222477,1.5470529325058464,1.2653509968057448,1.165742835955385,1.2271318524267416,1.036166761436645,1.1272443209773408,1.1905084068565093,1.172014087773596,1.4282864459094036,1.1213862307873717,1.0449173539894818,1.1544840098681908,1.0465685588210671,0.9020030976194544,0.87052013846414,0.8619897979825119,0.9703138986113838,1.07668734537432,1.0801350560617509,1.2901033335643093,1.1313922935662841,1.0435829205598723,1.140381052747748,1.3321380572126997,1.0874937518152274,1.111822333815173,1.215404388362358,1.2312608965651755,1.1423545287599548,1.2998195964741341,1.3917820981906737,1.3317215854355735,1.376083587343523,1.4768333620066223,1.3532943498736325,1.3080148831990779,1.220882615101077,1.2414407581716704,1.269257219512584,1.1858628983346664,1.2414952647702067,1.245942068039672,1.2555388724540562,1.0983916045377105,1.2003854470785464,1.3757370580441577,1.1425319960826539,1.0768241616952583,1.2200417639457817,1.2671330343930431,1.1465211079994793,1.1056385302275125,1.2831739787063992,1.238677509583901,1.6204636014357492,1.1470464383823955,1.0209815787756726,0.9743384287868216,1.0823091160009584,1.0090440548651651,1.0281633550402527,1.0303956719842662,0.9213175586158121,0.719650287676137,0.6970129122314255,0.6279451401391284,0.6193549054171686,1.0448145479501654,1.444164659380583,1.2147704994130348,1.006969438483258,1.3810781142681414,1.434591344521146,0.9292004267536238,0.9355168486527959,1.6716633845880136,1.2623771011640574,2.493280467900726,3.8107588192123214,3.3991080625683705],[0.6428134428000997,0.5363924381852205,0.640997343512568,0.5072748686057331,0.6361193311100268,0.5961299615500737,0.45149585404918824,0.4781038104703549,0.46680645022341155,0.43323597075391657,0.5115152852106326,0.6149587745530416,0.4780530723783717,0.4806518019767422,0.637850625032372,0.5514974708178932,0.5560625217090753,0.5811877159382257,0.5709717450806296,0.58048582023896,0.565630305090265,0.564286163838519,0.6778787787433231,0.872832519271646,0.6629790681068763,0.5951045041084656,0.6028931333814942,0.5284098927056674,0.5451185415714455,0.575052818179862,0.6554244325216655,0.6619161474355135,0.7623581217494837,0.8001106390889098,0.6748037929791321,0.6228921980202843,0.604790851752769,0.5407512257823149,0.48962980707570436,0.4628248496343573,0.5222279642406444,0.5964500094067804,0.5489000118061825,0.6755783230480054,0.9063316969874142,1.323934285070449,1.3160950272239904,0.8420429148863429,0.6989662452884712,0.798867929944476,0.7489824460294621,0.6503892980579176,0.5786680177959902,0.5450845437801212,0.9794937856786677,0.5772728556968615,0.674309786227586,0.6130092937597403,0.7658977785744232,0.9402251090449508,0.6582592982848141,0.750685879796072,0.7435504446795861,0.8138815899993929,0.6568105793065566,0.650026788887416,0.8684066718971954,0.6959671148704022,0.7687171624423143,0.689276843171913,0.9239935674874608,1.3674044586899363,0.8575784118528442,0.8895428030051408,0.7949795949076698,1.0680653941190867,0.7404777676520833,0.7794329835163661,0.7400892371979447,0.6660589133352302,0.7238599076478833,0.6542519134117448,0.8619197393325111,0.5319829970718087,0.4639622728683776,0.5040856072843828,0.5795237740760656,0.7203164652267804,0.6281242197895994,0.8095975972228405,0.7784732866874128,0.850211632199956,0.839743115237931,0.8613300955919827,0.7662828062745412,0.8859579754110157,0.8610843321769532,0.7501621632132076,0.669057864460281,0.8460065415450547,0.6451736823735249,0.7064288008938873,0.5838544707359447,0.5310577739896601,0.6077773974402875,0.6402040246923659,0.9100823850751548,0.7494810439269279,0.786918865634063,0.8825628093989148,0.7112833449302773,0.4963120571624154,0.43685924397183934,0.4063139591299286,0.43193200577498997,0.4509172100614225,0.5031066288796974,0.44786454460163566,0.7085488326450735,0.6304231384619803,0.588362623503512,0.49231939399744273,0.4718612073005174,0.42111564995071776,0.4363506280204734,0.572934161956419,0.5852704834664978,0.526719819336687,0.5557833714180027,0.5762172269798492,0.5911849721455865,0.6985283495816766,0.5631833363193411,0.6311442570478589,0.5109626061045397,0.4843682155140874,0.6564778947787051,0.5034776606088848,0.4394789713608185,0.39781237914655443,0.4908227945262464,0.48892932459549626,0.5416801081272872,0.44999074455705174,0.4469811828165348,0.47521838320870335,0.4253220381170939,0.4504857980622419,0.4174798154733441,0.4673790441212559,0.5249843980491804,0.5476068004064447,0.8330443083047571,1.3811035271107506,0.9483415759163889,0.663505570899924,0.5463278184830954,0.5308925994724668,0.4956823222148784,0.47175895136663615,0.4010647038184002,0.4291818119784537,0.3933830385131649,0.40023890996035916,0.40914135784452055,0.5467296754334601,0.46204937437204724,0.5587682169155592,0.6666985807829205,0.5802972676284855,0.5061297354977582,0.445299461104928,0.41274847340178883,0.4292501490574893,0.40875079898599737,0.4757128435171781,0.4967962947325024,0.7613885691213266,0.48992196029056684,0.5100269212759144,0.4194507996792309,0.4674334544013047,0.49272287441663526,0.5062758601793673,0.4483647284823617,0.49143421066592363,0.5208630666938763,0.6665442356225483,0.8738462138197896,0.5769711467141643,0.6154778358202121,0.567033845267415,0.5532283648385646,0.5737146610849354,0.5935088143742331,0.6355045096462096,0.6482825903035073,0.6717531816813443,0.7246704639838734,0.7387905818142437,0.8786903723043931,0.8886870973623356,0.7620663652089347,0.8909663465734097,1.0547651887129332,0.9846326505373111,0.863404569029708,1.0595495939093813,1.1997357061922052,1.0439258533693638,1.1465138051605832,1.3252729437316055,1.251142795426885,1.207236653788389,1.3921505729546368,1.3083883448852442,1.5248292409620154,1.3136473272275435,1.2729158042400492,1.388456754409301,1.3656561467977153,1.4907706321863314,1.7432088956153444,2.0147762760462093,1.6643537215512079,1.3841267697524704,1.2558597446637687,1.361666885260284,1.0731242112691761,1.1824245184724593,1.2309886823974518,1.2308884833008435,1.4529320749948653,1.1277414767375955,1.0741047149375194,1.1136276852376277,1.031314278849672,0.8430194360691724,0.8552560131863054,0.8791271111395302,1.028039212798131,1.1402411762855473,1.1406412976910543,1.344523749678343,1.1951697091500972,1.094306339184461,1.2329273640066962,1.4094945021049947,1.1259052617244203,1.1908589854924638,1.3201092498416749,1.3213608646122592,1.2375125416247652,1.4266243377197172,1.5341343777782699,1.4354945020986938,1.498904446383493,1.611984705167901,1.4704472796760357,1.431140001273027,1.3293043191535914,1.3548181937649568,1.3856264337325477,1.262791509522511,1.3197129702627317,1.322772440401849,1.3267099081645604,1.129382310737642,1.2472648828178479,1.4124964124737958,1.1467168089874098,1.0583876828488494,1.2349703433011194,1.2666866036620272,1.1059159072542784,1.056184815390229,1.2271756348270646,1.1765656527973085,1.5564786651572102,1.1056100432898412,1.0058904086322564,0.957605749736735,1.041420730811357,0.956687628649916,0.9685517218288932,0.9757131693971278,0.8974434821963565,0.6795402869722558,0.6691365275048253,0.5913123624917256,0.6058881673485826,1.0660095537250487,1.5663570272092928,1.3419087126180838,0.9942096897802992,1.47972102956642,1.6306709671226154,0.9478220082964783,0.9622524704371086,1.8541179759286233,1.558681853220102,2.8310898337686896,4.40473877261769,3.9132695343486277],[0.6666027995621614,0.5611758939890461,0.6469088158878284,0.46803621079047497,0.5984295683058415,0.5668594533628296,0.4039746458613929,0.463046171331675,0.4258829474633752,0.3737386657282703,0.48060547879932625,0.6121598674385277,0.45109182728199426,0.4377087547888143,0.6225573466421364,0.5376940644844733,0.5165528777631863,0.561128228998677,0.536910977110746,0.5479042866226468,0.5554717184483602,0.5484546165478104,0.6755446903855081,0.9106634355273674,0.633217379929687,0.5828446400807804,0.5706016287683442,0.4904009578461427,0.5169684909759188,0.5548683709139803,0.6683968913730223,0.663792947687673,0.7931010418653491,0.8262766465819805,0.6920610928336053,0.6194917731650149,0.5910377578472772,0.5211340577591251,0.46061688873475054,0.43255429438994153,0.4826050564951814,0.562603790755236,0.5251852681583211,0.634376774648743,0.9125263339279971,1.3319479316302503,1.3510557605823625,0.8139153279622743,0.6774616774305313,0.7895310227124945,0.7155967614802471,0.6136903104741791,0.5506240787341389,0.509302749748738,0.9490421193189101,0.5664272787766913,0.6575175814325293,0.6187228449691239,0.7585562835376851,0.9307044600238542,0.6668679524673763,0.7593450702797298,0.7746263430560875,0.8445746318356722,0.6562407026368734,0.6543904776866887,0.8718531177860547,0.6749374279271892,0.7698494250193302,0.6741679015987502,0.9180335502029845,1.4034895697565946,0.8588336708035705,0.926890773137344,0.8062362324517494,1.0841685430125803,0.7560808875899073,0.8042868877401312,0.7542622186716079,0.6790893767051963,0.7227597491390428,0.6529325634247608,0.86696064428632,0.5099095944750843,0.43606312551766446,0.4803552234769492,0.5671357182056537,0.7159237359130042,0.6330017462095048,0.8396188015736744,0.7925307490932446,0.8635110760712194,0.8709667744521323,0.9002036202139014,0.7903392639167994,0.9245480481749453,0.8648444592431429,0.7704913024757523,0.680610016336245,0.8635665419792891,0.6521522965545699,0.7162386588086872,0.580936117199275,0.5391446466945548,0.6152197971148673,0.6316827498297186,0.9081304704294891,0.7439330105494085,0.7779415412662595,0.8839911352037092,0.704174320628995,0.4706146055097635,0.39773312491191193,0.36401101816483744,0.37015795068682517,0.38711268262796367,0.4580623970457799,0.3872993385758987,0.697602509375176,0.6038840356259958,0.5492075523673388,0.43708718403516933,0.40350623158370463,0.34678127705938305,0.3665910023123753,0.5046598386526893,0.5451935369411595,0.4988724713825598,0.5350721812995465,0.56576067666455,0.5832406970157287,0.7052079899132089,0.5510849771683755,0.6208180798442153,0.485698154383232,0.45246934431490554,0.6511342706690255,0.45795834147794856,0.3930162587291176,0.33441216422784104,0.4132632023781002,0.4982874385870764,0.5206297565038759,0.40037016398325137,0.3970127726620908,0.43547676440327626,0.3733925421602669,0.40187080923443114,0.3849495480977712,0.43966520460615777,0.5221020226018352,0.5513550385148727,0.849744110367772,1.3842493977396466,0.9566551294475178,0.6765672076279572,0.5443773268618961,0.535849354415571,0.4797275313470665,0.46244495402605934,0.3731667338704531,0.3958025432633681,0.340906906702835,0.35524773372684554,0.3654712754689394,0.4861968134469056,0.42655167006194455,0.521034024333522,0.6337783093046067,0.5442380486454642,0.4625089499508897,0.3878024197855257,0.3733777932257701,0.3948669655021846,0.3763673459848554,0.47545674497109486,0.4883558163707541,0.7718150176895684,0.4694360754456145,0.5054958991255433,0.39658076904743617,0.44794958367261534,0.4756193424620766,0.4873121089140754,0.41934832669860267,0.44957084741566267,0.4822392768103329,0.6113846389208987,0.8439378966146356,0.5425628488373581,0.6043931687025885,0.5341566200543825,0.5225182200276699,0.5503827743038117,0.5810456055060885,0.6413873953569708,0.6464810863957449,0.675931416805265,0.736297425029746,0.7585466248142396,0.9047926082789753,0.9128984097245442,0.7808936151168835,0.915232969118343,1.0855488109266855,1.0062662445545132,0.8795202676201082,1.0954973930804532,1.2240826017163478,1.0652608677507491,1.1792301528684,1.3513539584290277,1.2511468648460797,1.2107443429763924,1.4253232031021448,1.3563420513653865,1.5697366325766322,1.3894012803541915,1.326659695087026,1.4412888022178838,1.4255683949720745,1.5639290033018451,1.8527920179566508,2.0614507402989894,1.6931330025736095,1.4328663358956613,1.3027594089003376,1.396539085318768,1.1351204623314526,1.2271675334622423,1.2702665658405539,1.2619400834590893,1.4919418036304297,1.1577421612938672,1.0818198183471786,1.191869494820564,1.0829120846321525,0.8678050559802422,0.8801035181421156,0.8921496468009372,1.0536438938585648,1.1752496325708557,1.1777213339482582,1.3840220037919,1.2146133326050705,1.1263011404998045,1.2755130524676237,1.428620284881487,1.1470452511209137,1.2131699052364124,1.3437819344632589,1.3399389157076753,1.2561601712957577,1.4537510951136194,1.5515360730317567,1.4409369216504317,1.5218320110906718,1.6550094432671438,1.5115649017689539,1.4746520996082455,1.3573222470307145,1.395788971796383,1.439338514139503,1.300947508957992,1.350262076163916,1.372787164299394,1.3726054923934823,1.170191626802092,1.305302122339654,1.48263454608915,1.2027601791067164,1.1168103262707336,1.290596146490517,1.3381070322166697,1.1736741338839658,1.1247900464390226,1.3197796373758628,1.2786095077553945,1.6780387410814335,1.1706031600834348,1.0602137722692029,0.9891895828175257,1.0716590725165676,0.992660651892182,1.0098504668228654,1.0012489924586183,0.9238421164417767,0.6880378063099309,0.6734804573625284,0.5775157814981783,0.6131557769357221,1.0724101031451374,1.5576433244212577,1.3149738017042196,0.9983605571436615,1.4672339164113593,1.586878044281959,0.9363822630740518,0.9605082730966578,1.7979885592802038,1.4628514786038533,2.741879761526304,4.320864843256316,3.9065733633410673],[0.7910761379189485,0.7455164328366088,0.8303905656804992,0.6572269671215866,0.7899530978592204,0.7460064866938464,0.6006248232426677,0.6434113594986743,0.5921011888595881,0.5352277835061879,0.590326134242338,0.6647964431305773,0.5561008312199538,0.5571793491908287,0.669870624615663,0.6020625167472462,0.6175436052979726,0.6295602861361614,0.6113006790361001,0.6270214230825889,0.6137513886450067,0.6165532122220871,0.7230824431729936,0.9062405028918772,0.7273610593111683,0.6585070569911683,0.6507557457717904,0.590995167184832,0.5930234010853682,0.6270026492609623,0.6825389664308718,0.7111599648552799,0.7636299550637414,0.8145198621640632,0.6981666179117237,0.6600737196312921,0.6695602005994453,0.5822872553286726,0.5460345610325964,0.5483900021885656,0.5943453612772125,0.6451077849677124,0.5986755861310655,0.7280576157737166,0.9461229339489948,1.3427866684285912,1.3427327488125986,0.8968920907104121,0.7608325538895848,0.8428073643190731,0.7963408122549906,0.7144344930580462,0.631331709865341,0.6316491664290229,1.092193252417993,0.6389806995930509,0.7169011369893142,0.6598267670537795,0.797307133174608,0.9806744918170975,0.6806047294184865,0.7786676021862861,0.7588408920804044,0.8559605315054065,0.6887767686968453,0.6890344133360358,0.9111801305294791,0.7280392833774765,0.7930429571453178,0.7215759772101709,0.9286071860053311,1.3606214406643364,0.8904617316200822,0.9110124687914603,0.811418117555375,1.0699805518169658,0.7598584439298125,0.7907128591638765,0.7534417553305993,0.6976283599993703,0.7545133269277927,0.7164399517993814,0.9139232202370824,0.6566196161518696,0.5945754417971202,0.586737293670616,0.6308602910602946,0.7731931090395815,0.6710278866945565,0.8381091939245542,0.789799037526514,0.877615863085959,0.8711306105610381,0.8801520764649046,0.791001642044951,0.901408107741107,0.8827680235148342,0.7609008926410433,0.6969872360251582,0.8700245404819555,0.6998712607994952,0.8041104129242889,0.6773672042087501,0.6642776633783457,0.7385682648443676,0.8688698855008679,1.1410182542964786,0.9903190770981852,0.9870406895572313,1.0953537034987617,0.9310262084540997,0.6830684652980202,0.586690683612036,0.5413414125342768,0.5375179821962657,0.5477863011275869,0.5766075865299525,0.5364547821017406,0.763518115072093,0.672700021139615,0.628094821790597,0.5580498608447914,0.5509863254232926,0.5131724945075365,0.5373134251913632,0.6855459640874476,0.7326659082248357,0.703819968507752,0.7476412096339305,0.7966740900371185,0.8063266376066566,0.9437445742979449,0.7944960575201585,0.8417001811576681,0.7162445880598556,0.6645476673474244,0.7865181914555771,0.6235365307995242,0.5105996077214634,0.48920909088599307,0.5550692366484206,0.5787908807780011,0.6279794392575223,0.5279484956692176,0.5150332295953427,0.5471891430643194,0.5122748666969464,0.5569879878399228,0.5524067627460443,0.5947954637742198,0.6812140238054706,0.65503042468428,0.8851472997743992,1.2944095276698018,0.9357622606568634,0.7362351284622637,0.6323138983857083,0.6425390253057338,0.612475483665582,0.5986936620225405,0.5555177686813931,0.5372455916477566,0.5098867215069954,0.5288828900838233,0.5305406371076298,0.6305567601207486,0.6005963205976249,0.6772511347448491,0.7922794516730123,0.6847564706491666,0.6431928969749268,0.5889249579738542,0.5907677349831587,0.5895710988091669,0.5674956811774241,0.6314299559960226,0.6135982080583832,0.8879767973403215,0.618047546908042,0.662278311465717,0.6132136663698087,0.6771200110702001,0.7093944676677748,0.7111905178876902,0.6411572949907389,0.6517567922959941,0.6418521178337568,0.7715158684459242,0.9319367876167705,0.6925291035045937,0.7254056158511105,0.6650733837251807,0.7066731718960473,0.7678715659043535,0.8186750929213602,0.864105910282727,0.8561544335710607,0.91310462419557,0.955896578236396,0.9933593981438034,1.1561098711810978,1.159799014835343,1.0122397463300714,1.14301412466872,1.3270664109868315,1.2259900762468892,1.0718146551298433,1.3134957034934063,1.453793385820164,1.2613487813992332,1.3790247879420687,1.5540573679581404,1.422279054362641,1.371932524763193,1.6075852800085935,1.5435767738188588,1.7696727998248931,1.5899714170409245,1.5418889862787586,1.666387887313727,1.6640576882837914,1.7194326483815738,2.1330177243596955,2.309939065894258,1.9010361324553104,1.674573531095633,1.50847775615821,1.615321589679183,1.4101005330159628,1.5005729441997837,1.5297379242606084,1.5110698847607198,1.735742999407849,1.409028101974977,1.3033337007389694,1.4314481293670003,1.2740496697315569,1.0127437857482253,1.0941430250516508,1.1409125730869303,1.2831249623054244,1.416140488174635,1.417112882460536,1.6257071951108077,1.4390452431865273,1.3407043758299333,1.5138909046245477,1.6394492445512654,1.370238692685402,1.4554962581603026,1.5827720895265327,1.5667861272763464,1.489110273985259,1.7055418804546278,1.7967706210190117,1.6613521736741363,1.7600797800982146,1.9092105629258114,1.7652456813955428,1.7378852610142117,1.6164115896811189,1.6580925459736418,1.698800658768154,1.5444914133517123,1.6005158114548144,1.621623444504386,1.6038520112762877,1.4015270381391316,1.5606784851589721,1.717390426081437,1.4163670146220606,1.3286512703897218,1.5401333185884947,1.567806235759969,1.3840077319913107,1.3321250327358174,1.5037112952063285,1.4407212028915741,1.8309176760693517,1.3416927330373851,1.2583589106867996,1.169510022315155,1.2284475302856146,1.172979595601444,1.1873011097403825,1.1814123846468456,1.117506291951507,0.8721152361092002,0.8751053978921213,0.7715840805624944,0.8052786186041121,1.2820565265496164,1.7455856312174658,1.3935670767931367,1.1731271430258063,1.6126978814190398,1.6550480907040375,1.0330981899754106,1.094299823723566,1.830862549583663,1.437335502078713,2.6032604817449276,4.084004718918105,3.670717318713362],[1.1051302324839185,1.0609482169075806,1.198958960018914,0.9418271279711593,1.1276549689231337,1.1169556264613312,0.9778624213157829,0.9978072148784359,0.8895557896729085,0.7932393580362309,0.7690995771581478,0.8169972909087729,0.7929488283556858,0.6953589901309173,0.71655764416577,0.7433854712248951,0.7385397437606758,0.7172349867683226,0.7315441320876632,0.7809603139119193,0.7048286406482571,0.7302434832425699,0.8163820781508079,1.0115019937807157,0.7778831249437338,0.7360604015929787,0.7382878873901179,0.7069566109639922,0.7656030852195017,0.8149139603881925,0.7488692411766605,0.8807303601724352,0.9079626230742349,0.9246124245211595,0.853382816957117,0.8032927334214873,0.9134273564689853,0.7765166645608199,0.7818214717951129,0.8805652748809485,0.8417651521896969,0.8275665261731631,0.806806617695899,0.9804067793943508,1.0736050258650032,1.419827978338451,1.3759840523595488,1.136761409939536,0.9905508821336527,1.0872903861349004,1.1493461238204639,1.0434509709683726,1.018299396028354,0.9466645012476976,1.3587781882451195,0.8772357051155674,0.8641131104330954,0.9093350639190002,1.033857580902535,1.0726726381912932,0.8582715267022921,0.852621499819172,0.7927548498637597,0.8410896705740325,0.7742059553184396,0.7642303540002798,0.8945087187303878,0.8457572526660652,0.831897287059598,0.792725404836506,0.9532986771675925,1.3014119774396449,0.9344733163188734,0.9583762262061812,0.8132783580127165,1.2592153891291131,0.8327066652939837,0.8890346237790153,0.8504832422127014,0.8297318007249722,0.9682540883066046,1.000195341890124,1.1906064708996211,1.0832357518085387,0.9620313095871842,0.916588604153492,0.8541725855672893,0.9939178394556096,0.8078331471672959,0.9980963616559401,0.8655469490782852,0.8633425270722535,0.8383163194117327,0.8769532190219232,0.8111931444328231,0.8729802760603311,0.8929407712441438,0.8464812823821577,0.8432668546162635,1.073036820511572,0.945836087248122,1.1567024610832317,1.0420648367549805,1.0927960592499792,1.0706814524172463,1.328563439525683,1.684818907874974,1.4881085229346074,1.4616930731226205,1.5664254590085156,1.4127140729630963,1.1294838774862517,0.9702198320073762,0.8894377155431233,0.7779108953836188,0.7584613349068668,0.7139350620205791,0.6732251114115707,0.7625462139536114,0.7154437109902647,0.6793942258090733,0.6703726472443532,0.6964750642299133,0.7285620116381031,0.8185477132073371,1.0071660566822944,1.1503315932214446,1.1280677296525132,1.1937537049553015,1.2541801140845965,1.2787994249707864,1.43617996665982,1.2929433633071326,1.3308447315252159,1.1755282492952934,1.0793516539854497,1.1863960045864357,0.9730401946899667,0.7855215769666691,0.7397291050910381,0.7670958398651092,0.7499005387144702,0.8019911868294164,0.7444868412783718,0.765921665828299,0.7745850944452045,0.7762647189333606,0.8356972335395162,0.9258393191077604,0.9501803636407509,1.0632898581219081,1.002758555877591,1.204771104703302,1.3034050939418032,1.101705334723661,1.0407361434567384,0.9363789575772027,1.0042531723241728,0.9479070509749248,1.0029406931948652,0.9729989043254413,0.8528389434541719,0.865639618185946,0.8894017157049536,0.9290250024551787,0.9520714919636937,1.0328890079398458,1.0895720211340645,1.2185455448469675,1.07585245704398,1.083932749812145,0.9638079349608712,0.9887631355567389,1.010104237414203,0.9815720583596331,1.0289113235371328,0.9626662057856774,1.2020429993977981,1.0184573911983585,1.0430609528463983,1.0522937030821264,1.1437344412613304,1.2034133872581176,1.1973417918263776,1.0953434072011412,1.0774933954944692,1.0372240827285173,1.1108312607802617,1.1790709720123298,1.059579554877541,1.0928793166472504,1.0757704334221132,1.1801977831214645,1.229192207597396,1.306416675227545,1.3505651103214167,1.3231960965012006,1.4021317872675794,1.4433473702293738,1.494674606535783,1.655653853355975,1.6548412436810414,1.507512009429249,1.5961688786579402,1.7741201939557887,1.6716698746465433,1.5101916072740211,1.7266003267241965,1.8655588173802027,1.6637204462077493,1.7416520924624406,1.904898778850427,1.773187778865475,1.7105143365743678,1.9061305570146294,1.860743152543237,2.0804964933167156,1.939026502556834,1.896553543851429,2.0235224510044656,2.029511469494478,1.9793281482459082,2.5404261188753043,2.7240931637068724,2.2412755090316554,2.074315692185884,1.934206897444766,2.021559982152753,1.856120826076076,1.9800008336025396,2.0065355627882093,1.966616286843081,2.1712516647009674,1.8959523574611952,1.7925145835422243,1.8738812140507817,1.7077643631999138,1.4669369025934398,1.5984730432401313,1.6334000676987939,1.7569085188932263,1.8899626390106723,1.8751412919642965,2.055889785678698,1.8654918945906613,1.767279507117124,1.946721799573452,2.0566710891941082,1.7909838899593258,1.8930422658913955,1.9942976514522104,1.970880235666475,1.9093477340178975,2.097526377716617,2.1530195971647976,2.0217338731892314,2.121998166078655,2.2667371211345153,2.1339929682600065,2.132776541115926,2.030811625615841,2.068491768500074,2.0955798015162195,1.9505538866444114,2.0339404123966625,2.0218890488363006,1.9838344216104544,1.8230019682329848,1.979159049677203,2.0637203361444527,1.8032198487658242,1.7513003858032852,1.9498749772206045,1.902207314817215,1.7417422487387004,1.6693027668088398,1.823183975151446,1.7299202553261528,2.1524748471854056,1.6478508657482773,1.616507404043322,1.5228759118975805,1.5389059497808286,1.5062107058459555,1.509541105131236,1.539447274056421,1.5383552696326301,1.2845540062194283,1.3584558238542817,1.2245698393330506,1.2486345003302057,1.7503298118265478,2.1642357796744593,1.726341069387114,1.5876590386565204,2.006877215473906,1.9680296761113572,1.367328116422334,1.4495983760328464,2.1207333056661093,1.7645504123221487,2.5503866877542025,3.996177910729409,3.6544642813882042],[1.3284913983273905,1.310123566814309,1.4747694992229254,1.2284416500668756,1.4131055466024556,1.471144856820877,1.3621738738549993,1.3817591676409438,1.2546657736858795,1.1736363293354501,1.1364566599643617,1.160750795281292,1.1779518767076322,1.0619689401208043,1.0105582464073093,1.1027530517352147,1.1051925441124766,1.0694534323006595,1.088401998439231,1.1345326810711243,1.071390797230075,1.1034692067893368,1.1631293562949359,1.282052434756573,1.1369689936671263,1.107035032629069,1.0886958951118404,1.0829504723920882,1.1485167615035357,1.176161494702063,1.0733414614527674,1.1969072717667393,1.2040172115276466,1.1866106211527305,1.184390452890948,1.1506982172009323,1.2899675926866352,1.1576841319103488,1.173160083786198,1.3078111618651678,1.2442676202320542,1.2078912883937678,1.1883684132332848,1.37809972168859,1.4487791980935787,1.7221072127931305,1.6962039662464434,1.5450982762010883,1.416014854478368,1.5036413374358015,1.517927932730648,1.4616226851622713,1.4227499874191294,1.346642775286649,1.6651573495814753,1.2531302565147562,1.1970757111082673,1.2888836368115228,1.3888807613234257,1.3488811031925987,1.2060775682832514,1.1612154850091545,1.0902174320411548,1.1329251524707669,1.1269865950745288,1.1154638046255643,1.1099996722538181,1.1554610529662215,1.1485595603908734,1.1104714828219318,1.220739363295935,1.5120691856705473,1.2288224048715437,1.2866951963575275,1.026287169485266,1.5542475394784743,1.1114805368023204,1.1381932392819536,1.1547868094945222,1.2007820804761278,1.3027878328522986,1.3800572584478994,1.4939649922708877,1.4929411485243236,1.389218618262856,1.3164622435503484,1.2130513636283566,1.3733118499259527,1.1675646989792958,1.2820886112019885,1.1062636398903962,1.0805803557091267,1.0274176858944704,1.060443351214526,1.0517867539179409,1.044562874376061,1.0979835245705065,1.1109363088220459,1.166324706764656,1.4071182629698447,1.3124397338306393,1.5162964901660896,1.4414672887080053,1.518509064269095,1.4858240189772276,1.7561160570010588,2.1133384311202104,1.901164660355869,1.8472926378260706,1.975391216679116,1.8404306065144587,1.5477661670506186,1.36687773453919,1.300860141196039,1.1672497111201432,1.1506651723980557,1.09244709273008,1.0787872435981114,1.1083041778022982,1.0529594102277424,1.0367656931357347,1.0632994004701681,1.064076130347183,1.1170855644751994,1.2110478880568878,1.4016691389506644,1.5191220872152646,1.5115683676462461,1.5843670626314859,1.6639591204082427,1.6593882835366276,1.824798267950545,1.7012183555526617,1.7420634440586709,1.5808943312872723,1.4797583497218783,1.5721453852675085,1.3749187497533875,1.1863829815064129,1.1450350607980255,1.1578187078376123,1.1553878756744154,1.1728255541393213,1.1369874274488898,1.1547875141774062,1.1401299423672466,1.166336076541046,1.2396155677000402,1.3407665849758676,1.3553484879910542,1.4580081888517795,1.3851597918448966,1.529813389489004,1.5550571190993283,1.3820548335767209,1.3836450561717075,1.3215790579031494,1.4010742046086182,1.3368833215927187,1.4172900278052132,1.4115382984230218,1.2731691887662333,1.2926261345577676,1.3188115438899635,1.3788463506164748,1.3302317523505014,1.4573549232597949,1.5054465923418514,1.6059862024340896,1.4746073473584977,1.4890046648052502,1.367587669675627,1.4170813786048504,1.4348557146821221,1.4066833545400534,1.441498713264088,1.3676017165725525,1.5454619880572993,1.4264412966181632,1.4632676222755805,1.488243823056532,1.579236851160142,1.6494627387440173,1.631891130640075,1.5307611751956252,1.504336459934696,1.4681939503847308,1.4891006589772409,1.5638632809623463,1.474019434839361,1.4896889905422888,1.4804115298356666,1.5817035842217608,1.6185486185216458,1.689226808116022,1.7158302144386381,1.6887486093664414,1.75080325301256,1.7794885955928832,1.8471531181584893,1.975246863060818,1.9797994399185892,1.8549171450084532,1.9130702552769183,2.0712159305413733,1.9868061118397389,1.8220040910199393,2.0049980477865295,2.1325696757727917,1.9504416390069368,1.9936627458211162,2.1170209357131218,2.009533307218603,1.951672391171249,2.0902458341872547,2.0692282958459733,2.2359976553615386,2.116948793603062,2.105461734712664,2.1990924170561046,2.195557730006703,2.070353311148319,2.7262940949216743,2.9141060422658978,2.4573918037301588,2.3244289163714105,2.2010238279090926,2.2746550659409293,2.113632647474758,2.2612730146337903,2.297838441155954,2.236648067119182,2.445560716002306,2.206238736656836,2.1033565536480596,2.172489351444108,2.011272311779655,1.777431751331258,1.9135664399851076,1.969238075064705,2.077902503942575,2.1855304381066962,2.187879701854126,2.3147300275937464,2.1785575128007997,2.0967688996326928,2.2478782934815262,2.346274617921134,2.1051746145258377,2.196514827662731,2.27233486421355,2.2614801074704,2.198271679558091,2.3346118958041604,2.3799583061885827,2.261330238241434,2.3310104189489165,2.445689937073123,2.3345185209125905,2.34170408671885,2.2818747909551598,2.3027895877012576,2.292237184410724,2.1896210238306413,2.2802666914781646,2.2397171903679736,2.199933420042345,2.0947022779447244,2.2179701314181153,2.262594969383322,2.048638205467956,2.035778347345971,2.182608645779798,2.1074869568374894,1.9750380069357876,1.9162058637410542,2.028152869151691,1.9443634375070038,2.344399195511305,1.8835019225953802,1.8785363016988654,1.7998218023500012,1.818252985210938,1.7972324813047083,1.7921539154353554,1.8341063986308854,1.8476690481613354,1.5949466035887259,1.7018525552858998,1.5883465146029507,1.587287972493616,2.1378169867176338,2.4992605012512437,2.040664201192123,1.9736092051363867,2.3290463706725513,2.233529398666398,1.7241424627982154,1.7841604711305035,2.3439437699592696,1.9816854718449617,2.5186643748121407,3.786153971089061,3.5713056212556697],[1.6201102813461306,1.5772694606991813,1.765139590112175,1.378490744081223,1.604305298416722,1.6347315077516995,1.50356039188208,1.5423721638025605,1.331083278066025,1.2054721494544156,1.1584652315911053,1.2309556340391083,1.2442408603136186,1.0516549727050033,1.0134823471926633,1.161013989205026,1.1264717860081002,1.0625109251881608,1.0447979558486238,1.1221579307358838,1.017157658618425,1.080252919735155,1.1533856770319955,1.2224404460531866,1.0576340553535366,1.0129132351902532,1.086292664763668,1.0718318432898852,1.1935270527450232,1.242710273402331,1.0966138356980968,1.2907829059130653,1.263100622890102,1.246829023797757,1.260301381821296,1.2037920684974335,1.3929203196542346,1.2562331439809373,1.2786898288609687,1.4550520918672087,1.3526802539705645,1.2720425417585677,1.2578191669038612,1.442054998343766,1.486551562894148,1.7823687487051618,1.7704672251460911,1.602027062116064,1.5120026779156568,1.5916734834035553,1.6679230895405808,1.61396953567122,1.5784676676626705,1.49896095268311,1.8698993956760066,1.3821643024690744,1.2878574625700754,1.4149761254018702,1.5008320074523325,1.4066432602937788,1.2348088144513059,1.1893175884522542,1.1081467315533438,1.1117123546118874,1.1132585808538762,1.1065413989375759,1.0894458486593248,1.1293426099887962,1.0857011022848277,1.0270823490113992,1.1466210637416374,1.4445472617604571,1.1302436422473625,1.216724492043007,1.016280701029878,1.4891993690412237,1.118531120410964,1.1808103120318134,1.2210038070903986,1.25957875471251,1.4197081434054604,1.5462351145401974,1.6802664829083773,1.7000353978146823,1.5685260417129059,1.4855513523758832,1.333264477435931,1.4487996832260732,1.2131192812026186,1.3281575196654014,1.137376619518627,1.069868390175124,1.0400904327684937,1.1072284375155008,1.0896092287200494,1.0773099261308021,1.133241037080077,1.1877846291141196,1.2518409724856265,1.5257953361283638,1.4395727619855547,1.7414697698824426,1.6394274220963516,1.8105392656302879,1.8129346427639608,2.0777997041117113,2.5322870356211484,2.3166199428952425,2.2528117289224303,2.343725559360095,2.1648121577068484,1.7837072581642237,1.5331149489006,1.4269862428489004,1.2129223054796914,1.1535426060571017,1.061527117688417,1.0347937745424787,1.0838048168593997,1.006844087796172,0.996769693530274,1.0266343662771455,1.0193716567190954,1.0998820615709488,1.2481074303371036,1.5181526307371231,1.734448261104662,1.738454320918927,1.8835996048792631,1.9799024656843156,1.997951509214013,2.2086978769567076,2.042596008607846,2.0827108525575135,1.856614724651783,1.69015105699202,1.781229478648208,1.5128262249488373,1.2490023567845614,1.2087466093213053,1.1300464058342417,1.1236575113490035,1.138889751773178,1.1727009704689075,1.2304599258739093,1.230316407505928,1.242623528796054,1.3405651437953792,1.495917514696268,1.5027528119747435,1.6872829106792113,1.5694894037888127,1.7809388803788044,1.7423426831923838,1.5488798185107695,1.5786056228891288,1.4739073304328951,1.6197700587227108,1.4786069184458768,1.6574156182142739,1.6046513080559652,1.4186523671048832,1.4017908222484272,1.4509901303239787,1.5328970245592026,1.4645876529825992,1.649816201430641,1.6902212349103962,1.8265435972563915,1.6316255113424674,1.6854794087883378,1.51778873648414,1.605073712711287,1.6403824502751188,1.6081032675745963,1.6909328645381174,1.5625005439090898,1.8028356915728614,1.6392845272526926,1.740718469281756,1.7234273596746035,1.8624809640164761,1.955393728107964,1.9426039810658853,1.8052402867715671,1.7135646073034305,1.6254881088820365,1.6285047672718136,1.6443768693653793,1.6499832529766307,1.7018015402966693,1.710385302621391,1.8445713594613682,1.9044137800225625,2.020976088512525,2.092226927871886,2.051639590356191,2.1634555622622753,2.219345976620773,2.2722399167677416,2.5031146471452255,2.491360298824931,2.3023655128805744,2.4015595719516925,2.641838904420174,2.49769670632095,2.2527339441581087,2.551461516870711,2.745991306736208,2.434230281284718,2.49444490049217,2.7057091863891904,2.550830024079114,2.388445737842308,2.6075592166422927,2.5308227078829493,2.884044627034612,2.6385842496087157,2.683792999751289,2.8662096567746937,2.9172634555770443,2.760356596766156,3.537492453655772,3.6377344363864155,3.1807393694164876,3.0736305809775826,2.87756823646741,2.9432643015787163,2.8125496442691142,2.8976063580916986,2.903940056110268,2.8778546635924505,3.0306026603492233,2.744056564802359,2.653061945458193,2.740241152975481,2.549886999874817,2.2237364179222463,2.3945928259200526,2.4621893508311428,2.645457517468292,2.777276673913351,2.806456671114385,2.9779403427666824,2.7841009534932613,2.6791546554855605,2.911889669639037,2.948692512647318,2.677865113336035,2.8136847846594546,2.929264432369446,2.8860770565536558,2.81698954076096,3.035548739203899,3.0799820941588525,2.9071299769093737,3.022406993921696,3.2041015655526466,3.065763140839761,3.0871545914108927,2.98627530263143,3.0329782651292723,3.0314796212401403,2.8381429962165186,2.933986612074348,2.931729193810087,2.8626303122338124,2.692894878048063,2.8637203006384184,2.8790686071453355,2.5865694343081844,2.583649132183911,2.7567289661805603,2.6595226648094377,2.4442021546249393,2.3065824384764233,2.400968756745558,2.272651624221939,2.73862383874959,2.214662360953748,2.294849288272776,2.1495181377080588,2.07031449755231,2.086940084280131,2.0792807893816247,2.1410361678027363,2.266816236903244,1.9417363679210518,2.0926029114735885,1.8827969046898538,1.9520879653899315,2.5565886670947724,2.9728825219158472,2.444851246375085,2.3112026642794543,2.7344335363079426,2.595809149086295,1.9957892559622257,2.063352894474261,2.675701973626859,2.2894011277708737,2.6404967322497415,3.852470636648407,3.610362037035878],[1.063544743802497,1.0006174581582314,1.0958371871965673,0.7928875069085982,0.9659548082972292,0.9243229198527924,0.7505985556369619,0.8142995884661328,0.7180895756785268,0.6476131373107548,0.7320539912380006,0.7750964048629027,0.6832437981658684,0.6912912920796185,0.8108103125643118,0.7253915161456638,0.7369113434194295,0.7613705531964,0.7551331079761433,0.7504929009336024,0.7585038783362424,0.7484134141706865,0.8179063456769549,0.9955003332968082,0.8581895668148405,0.7803668007578092,0.7430280113104328,0.6989222935193165,0.6986293999937525,0.723259538681839,0.8204114249104503,0.8188409063042238,0.8944636529284217,0.940972909346021,0.8200330780034768,0.7804360235249457,0.7807097461277787,0.6817108499979679,0.6459355110552912,0.6881600550445882,0.6906067866173223,0.7412254067193382,0.7069188752370478,0.8274622679626159,1.0359525831502314,1.4295623782771738,1.4248623595784162,0.9972699633535205,0.861507614047064,0.9469860945523396,0.9578139052534407,0.8512330677653609,0.7728187246685024,0.7456543822999591,1.1532235635651562,0.7361716597144252,0.8014500982720953,0.7499564210930412,0.8865476237724299,1.0263513192313722,0.7779208735447847,0.8856761821168748,0.8772487469040238,1.019659435087171,0.8281302160273581,0.8122679949444627,1.0502333420043986,0.8476222723032434,0.9400581522480042,0.8942773532417292,1.0699968850236652,1.434169083234035,1.056274557172447,1.0781570503389106,0.9944149617401556,1.207856017381195,0.8943647505208078,0.9338975576523076,0.8596828661360795,0.8234499087842292,0.8536376634330569,0.8287878938554689,1.00118152349565,0.8413928118548348,0.7717739930731908,0.7170897481613628,0.7292321259524607,0.8919965207923302,0.7878969421674892,0.95400535039311,0.9330221203723592,1.0803128558053563,1.0484181565897408,1.033444850592341,0.938121033433685,1.069674418231332,1.0144189884200039,0.8862045104611846,0.8178831552828815,0.9426633742054504,0.8268433211541206,0.9381121146889969,0.8477929011887396,0.9037272246417067,0.9440235946759203,1.1757198238589235,1.5579900815565668,1.360760664103948,1.3420991755589486,1.4371059887745223,1.2614776532216605,0.927445325437483,0.7674316408126527,0.6846641947203427,0.6413295820771386,0.6324467807726332,0.6666223229866328,0.6179545821577518,0.8676186319342731,0.8091757760806012,0.7780559977645781,0.6928307149454166,0.63505185104228,0.5995977492802677,0.6418472592525772,0.8186750279799324,0.933228072910363,0.897592030921124,1.017893091796018,1.0798488932123553,1.1271839745447785,1.324310213507713,1.1278761371937565,1.1544779747814333,0.9673582825329512,0.8415602732234133,1.0034977280494093,0.7658030558085936,0.6063903845007547,0.58299613044813,0.6226079200425305,0.6320364174395299,0.6797373926354632,0.5966816147655047,0.6205681006060008,0.6517578353779566,0.6154069881065729,0.6828371081322079,0.7224233730426177,0.7531536443984482,0.8653167312951078,0.823698002434088,1.033500245896657,1.2444283881340574,0.9756425305450589,0.8914242496386677,0.7726141901516522,0.8227546768955516,0.7519886742339241,0.8003045388654317,0.7374638856592068,0.6575791078234349,0.6612385692684994,0.684662920410567,0.7078272204909992,0.7043349876618394,0.7841996459434312,0.8527667821512006,1.0041247091593863,0.8389189096549026,0.8530804111606934,0.7161910440035965,0.7542919361221839,0.7790892766137828,0.7461446250042042,0.7970884237863605,0.7659408408498963,1.0010521112297246,0.7921325733656427,0.8383598359622558,0.8144324225346501,0.9241113874513645,0.9957866499948348,1.0079234923652156,0.891706868916766,0.8653692434140137,0.8255451646987959,0.8916480852907143,1.0371231555202214,0.8492260410991384,0.904094536808404,0.8335932726190861,0.9366592392990285,1.016375689909497,1.1288421744663264,1.2286144874882827,1.1927778056970562,1.3081955233520781,1.3864743851899939,1.418839052039424,1.6519616675233648,1.6200826467129057,1.437635301708269,1.605485319870529,1.8332868030003335,1.6833913242875673,1.5011312208091374,1.8219866459886827,1.9721013687175266,1.7079108449064455,1.844409341918739,2.0676671375935496,1.868550176776964,1.7800143851384533,2.0913434848329064,2.0069184504748185,2.36487452026963,2.1407941273541153,2.0916870281329465,2.2750965423629617,2.301399278522463,2.2284809547564857,2.911132593225661,2.9784606611550184,2.4762468081175126,2.2806469446121387,2.0413898238689785,2.132624540359658,2.0421276684215663,2.078095823177245,2.071011273930701,2.0829371401306243,2.2853835005586327,1.9338073563960765,1.8057740074169049,1.9650458190926283,1.8000618347646622,1.4267938222160996,1.5916292486408907,1.5926692243754081,1.7655534718807004,1.9224585231838354,1.9110136286240367,2.136226034437851,1.8835723025032878,1.7979886006485264,2.044423159857707,2.09732933364162,1.7921904831017414,1.9550896787334067,2.084675709526912,2.0359923007697804,1.9816947695183702,2.2461760615167585,2.306841430578454,2.1369932199669477,2.3052257992684,2.505629568405919,2.362032061330725,2.339523146215293,2.178567074568517,2.2557858989945547,2.327454119179285,2.105604446947897,2.1677686286360567,2.2347728839631196,2.1921719254414596,1.9578310593476664,2.161889157885025,2.298719583498968,1.955027367588238,1.8796337148533238,2.105899228959658,2.0882510851853957,1.8771011240723627,1.7696556840251467,1.955463945645363,1.857897395809303,2.3313353708432607,1.743838488367656,1.7010253230332746,1.538099039148926,1.5456359363990633,1.5084589170482714,1.535660024795109,1.5149658531823094,1.5429756322232684,1.1937937911950296,1.2571191750032809,1.0842643475108005,1.1512871607440347,1.680406136505996,2.135576914969531,1.6681060879881844,1.4923773439310382,1.9596929497352398,1.899976217423314,1.2440225001680105,1.3637147848695321,2.046420003405688,1.6174432962996312,2.586100387293105,3.992432493721019,3.7004504844603807],[1.1544676315868883,1.1114522177941268,1.1875489873080374,0.91776312649015,1.0899911180514676,1.074388616819327,0.9171581134071694,0.9211637360646461,0.8125251728404176,0.723698145088432,0.7104165156390703,0.7793858569359104,0.720429204170049,0.6639523750332518,0.6749800470670548,0.6594164104006799,0.7083827602089943,0.6832770477733274,0.7074573563824157,0.6975277933328374,0.6467824129677013,0.6710011806614042,0.7826759826199355,0.9706555414470972,0.7965013630817767,0.7281264100123555,0.6915104602896938,0.6731052262216961,0.7114591508294159,0.7308781332992005,0.6925782391636952,0.7320918297399517,0.7936028167055017,0.7691028689321406,0.7211752960582208,0.7131659824066846,0.79697985052246,0.7043708448526357,0.7242141455453562,0.817003506328991,0.7999342705684281,0.7961143362321751,0.7269567878592218,0.9743804345435505,1.1492797498321825,1.5000972935221117,1.5141454379447596,1.1557631673375834,1.0056728718892223,1.1259269507538294,1.067065088391594,1.006259718382647,0.9088385173335587,0.870678820104943,1.27145408852175,0.7613734762828125,0.7434405299516446,0.8173650138029814,0.930382587314736,1.0409999117618356,0.7548072545574529,0.7360443476294497,0.6951337142220676,0.7967998794881604,0.6789346084916672,0.6614688620356367,0.8489699754096631,0.7561066443593601,0.8090684620953978,0.7350103208836357,0.9313537205874054,1.298095974356661,0.9080403494366478,0.9994983965008342,0.7338547311078947,1.1618905867805607,0.7019046935317015,0.7574029170237571,0.7453999259301428,0.7531538662899394,0.842738246786175,0.8846394192806396,1.0247417966544672,0.9530285421681252,0.8934516571640526,0.8293778491935528,0.7296904083425467,0.934818582789905,0.706395485974131,0.8255632010085512,0.7502709175785488,0.8371418428826277,0.7624195483824899,0.7624186509386126,0.7159685974068025,0.8209195347195462,0.789087864534104,0.7363515903148153,0.7499983648647472,0.9795168399814238,0.8433922115339615,1.0170187424490356,0.9042957282695577,1.0071609418816705,1.0432887340875954,1.2866825742125076,1.6046006339486305,1.448449662825646,1.4288111871943365,1.5455550240454448,1.4139336647141114,1.0983099192741494,0.9175418654909372,0.8472611273605761,0.7375642121683127,0.7224566875042449,0.6646934214368756,0.6724311129055439,0.8126370847123046,0.6790711949312265,0.6796938580813262,0.647203427804157,0.6685939767081148,0.6909131828464572,0.7836329899685611,1.0167397820047765,1.1021030496529818,1.0761192309203451,1.168272274475408,1.2350985352275845,1.2600482141977132,1.4222740694021503,1.2723001334242146,1.2907571777159947,1.1346981731235064,1.0250919130095375,1.1693503885698546,0.9652561689992485,0.7540630450178907,0.708218218620365,0.7514975594885768,0.7368604167323601,0.7419372127342866,0.7029031996532721,0.7039244870165758,0.7029406586600483,0.7194192880039643,0.7980345465901897,0.8644878894654182,0.8874830739535425,0.9738688601216208,0.9054730690243905,1.0955767841609136,1.4075248024956404,1.039763848828172,0.9009014012338658,0.8244527902408414,0.9179703893649388,0.8272799526010949,0.9490738791595503,0.9184877399701601,0.8235571296944028,0.8253692549284816,0.842581689991659,0.894296988118213,0.8873797974364763,0.9858099917306029,1.0485399292959658,1.176264095636648,1.0233927995616732,1.0416124031601246,0.9197623934572512,0.9491349076654666,0.9495961878403288,0.9065753269717218,0.9320120750864666,0.8634666126828262,1.0751917122503345,0.9167711041954882,0.9594740603466658,0.9831443923300481,1.0888436594808613,1.1598249262873035,1.1720611441499642,1.0689330931156016,1.0248770799475724,0.9908499635486986,1.0390482249069863,1.178085175873833,1.0015694203547607,1.0333847980056978,1.0137554964143618,1.1193325061228747,1.1875206441926351,1.2732972675261407,1.3275927310376445,1.2899446600139284,1.3667876858415644,1.422830475665568,1.4615400932741098,1.6123433564856633,1.5836826355100304,1.469874978817308,1.5946296516842393,1.7549802130795944,1.66389017061918,1.515766848373605,1.7449588687653004,1.850866890350827,1.683321434588801,1.7755768697289303,1.9138070874376394,1.7897863412169392,1.7392973264448461,1.941805684131183,1.8956835858264773,2.106970273836296,1.9474409534828272,1.920948466254053,2.0208143743020206,2.0040230230021416,1.9069177154159551,2.5475834587773156,2.66711913593311,2.277789018749082,2.0683803688883025,1.889063560102446,1.9669816821799448,1.8212890347394783,1.9207793079728095,1.937204161371941,1.935555876568125,2.1672865273578927,1.8594891153870852,1.7338667283123277,1.8655287115176538,1.7306951813718663,1.407413911665271,1.5546701039868602,1.576472463785631,1.7181016837709149,1.8174922672423408,1.811868786904374,1.9449947922462207,1.7737304095828268,1.7416513132247506,1.8994181849991019,1.9742861824537599,1.723694722982538,1.8512485584038556,1.929102308842437,1.909066760987683,1.8713805398755319,2.032653172692691,2.089205092754911,1.978116929361206,2.0881333956993795,2.2088939935834295,2.1078898747307044,2.0766069060502717,1.9846040224284427,2.0226347079664544,2.0487143217987613,1.9353626612149564,1.979394112540771,2.016210945405583,2.0011523258659962,1.8407628738941009,1.9804936595384506,2.1241881296256415,1.8466146597903812,1.7840176875421228,1.9400346733409017,1.9489179272015804,1.7906957993411863,1.718028544938569,1.8524393612934342,1.7971439120229404,2.164643182061769,1.7168773341498496,1.6719382703121572,1.576801786260404,1.5986799837358894,1.5717588062644334,1.5769321045311777,1.5616121417430013,1.5503512770001089,1.2708417678698445,1.3372809678603705,1.2209319847761353,1.2475694302953122,1.749594321551307,2.128904393319454,1.7395326594021596,1.632900927526391,1.9995749064799806,1.9476018941459015,1.428959131562829,1.506340386373062,2.1115340752942857,1.616265032521265,2.617672825377485,3.8449045610551336,3.5283633794843947],[1.52017097679178,1.4334783607595456,1.509101834962351,1.179387004421253,1.3335506513646778,1.2816781014511918,1.118306717440652,1.1330342692654372,0.9834434318965182,0.8775444449646431,0.8332053913423765,0.8891261624165713,0.8476610039518091,0.8047819822005298,0.785451573520779,0.7774871319004313,0.8438314912857307,0.8111215642069591,0.8376058766643983,0.8281018614381412,0.7951809818063857,0.8335598655542816,0.9182069505852803,1.1022060419567117,0.9272146229580044,0.8751603836597613,0.8586060065300564,0.8257988019766184,0.85795030738373,0.8743674757595149,0.7882254261462145,0.8502893372686721,0.8938063422092778,0.8658772187846049,0.8368243945070366,0.8459113222722703,0.9588985274021653,0.8754997297805611,0.916542929267286,1.0351562432619459,1.0028109299538324,0.959998732285719,0.9074603562796214,1.1667375563743114,1.3143068975185073,1.6199228386147846,1.6406386421871881,1.3466148222950525,1.2009282176333307,1.3236506861228052,1.2663156206619104,1.2224405026107283,1.1119991245761005,1.0689066420258537,1.4187448186308147,0.9478348311116275,0.9207858225984499,0.9813033211857546,1.06869242752851,1.2024935517567885,0.8824518015134648,0.8345684383064056,0.7938308027293122,0.8745878145003514,0.8128060662569079,0.7884767308021361,0.9589161630630019,0.845794944990836,0.9088467660983207,0.8337987051802038,1.010677871083967,1.3582290439623743,0.9946690823270338,1.090782625676667,0.7978510117628496,1.1950143575224303,0.7963841504806822,0.8431469299314982,0.8621591366628222,0.8933949684352324,1.0110265988297626,1.0869575414844481,1.1890283956776468,1.180234381109882,1.1256408934412747,1.037040713148009,0.9064418826034055,1.0844380035457133,0.8362516190262693,0.9366608596945712,0.8268295114415227,0.8908714070224395,0.8228214397772156,0.827146704291575,0.7923290991097734,0.8744417533866836,0.8287327142431303,0.8207610069092969,0.8613023921985867,1.1325897533470493,1.0052090198690415,1.2368523703353307,1.105780744206294,1.2682446751580199,1.3201915373637618,1.5778361250582924,1.9424004931203063,1.8066932183068811,1.7825983527493323,1.872488694102952,1.729082115355522,1.3590690599776023,1.140007358943797,1.071833380113334,0.9084103284834695,0.9060719119739726,0.8297591516074606,0.8727599080742428,0.9698813546336019,0.8138545182855131,0.840580874458496,0.8104259338114823,0.8374771561363746,0.8774278013881819,0.9684370634666888,1.2284864331458338,1.3496351374156177,1.3500243898389281,1.4809843359855162,1.5488313800166857,1.599648342285995,1.7857355680410782,1.6315701142956776,1.6211165817163224,1.450036929579612,1.3015791171579236,1.4732410930587347,1.2350295516869592,1.0189470458962562,0.9598436665495157,0.9936991379216283,0.9530858392457388,0.9029047691392397,0.9065738412096157,0.912782434648384,0.892789237190323,0.9155503401202238,0.9788698235881508,1.0771607086936972,1.0844463272548608,1.211511114527947,1.1068903783607071,1.3017730464488895,1.5055406277555694,1.171510337231024,1.0864259238151106,0.9952179579291106,1.1338310739354551,1.0166720791653157,1.1901733490438102,1.167346343792677,1.0336063481678128,1.0609506473670447,1.0779533698807247,1.1580011797398058,1.137687512866887,1.2972203301829732,1.3822042499397293,1.5109883244460929,1.339308750823029,1.3495699464104836,1.1902353022291985,1.2201349983166434,1.2130654094359106,1.1577684937465347,1.1901849798029478,1.0755614571760592,1.2827939543057811,1.1596057169604679,1.2294408459440467,1.264980833054935,1.3861171649846515,1.48156707050747,1.4983736307919062,1.374459220709776,1.294747142369783,1.224081574078874,1.2651742175717249,1.357522394598651,1.2798460186182807,1.3422525400189003,1.2898314504117225,1.4493681293403333,1.5328584136301697,1.6326426098122757,1.7183125259339989,1.6557922872298168,1.7736792263426064,1.8378785164730562,1.8586157393256193,2.0617384262791494,2.0123017432123156,1.863847225651619,2.029426306839246,2.209431429939636,2.0678429559716323,1.937282088947406,2.211075470957138,2.309225407105072,2.0892700771761765,2.2125116233659257,2.373998046366888,2.1813960961583314,2.1300201890079524,2.40287372580258,2.3574572660675783,2.6457093332503305,2.4903449814577074,2.4428031676645374,2.5760302891365607,2.584100624518975,2.5094652728557167,3.244526466337683,3.2607257918344286,2.755530311470399,2.600735212266044,2.3896103222396397,2.4834681580162434,2.4005737202071553,2.4441409418823734,2.442046308888807,2.4616964308746763,2.693716957759173,2.3533452799332792,2.2119407738349617,2.389813665482104,2.223942158704803,1.8337286099531958,2.0066572083242327,2.014248148030694,2.1622971637791055,2.284943644103202,2.26609066049048,2.396697720121469,2.181945712689171,2.1570861512324084,2.3645078880123807,2.373191354790645,2.110030683656489,2.278843216882275,2.345804336316862,2.2929117100826133,2.2776166496813155,2.494163239834998,2.5212833079793477,2.391715830390216,2.5634671241954994,2.7260181500168845,2.6243989084114645,2.596970800261455,2.4690775107472085,2.544088863981529,2.604336570741589,2.435337128404052,2.4876089424807875,2.5495786804654266,2.5165028237863543,2.3419255863641686,2.521931760811698,2.6567373381250707,2.3579053798828777,2.3052311330955835,2.486769862064335,2.483764677727114,2.301058521303127,2.197320131727438,2.373749253041102,2.2942463108638202,2.6670996432497907,2.172595616160008,2.129736859025391,1.9725546074909446,2.004815409097799,1.9821768548642718,2.0062411933483926,1.9730368628929025,1.9877783857699063,1.6530354316956757,1.7136095634710375,1.5478696003446912,1.6160012159856278,2.0801417973429084,2.420533003155296,1.9433303134199826,1.913603266120443,2.2504600077334316,2.10268115533335,1.620134384559968,1.7256257093887069,2.223243885633504,1.7557861800317192,2.5857368224692983,3.7084204267676952,3.6955708141469477],[1.424862778741209,1.3566304258938382,1.3921753592356587,1.056236112097173,1.1822964919137573,1.056239202626972,0.8646111597519178,0.8304576163426675,0.70593415283347,0.6526044636448877,0.6862565746874687,0.7561882775297101,0.6461391282339299,0.6773883031449816,0.7577531715730361,0.681153720971103,0.718597858234409,0.7146602471116574,0.7148350126814703,0.7104392452632644,0.7425593300587805,0.7326155161541751,0.8261328861456841,1.0699085184843538,0.8345418363506711,0.7989011677668185,0.7339747447416778,0.6793634793886494,0.6984161493643073,0.6980919347032122,0.78312457287673,0.728301023613282,0.8438936042023489,0.8681938397498463,0.74970658833085,0.7308552135896725,0.7276413203937259,0.6995227747569834,0.7002487544456556,0.7516150766383427,0.8121017424783703,0.7962549672610089,0.7223588556826032,0.9766656803011463,1.191100441906358,1.5372579548481848,1.5783030022455344,1.186208713657984,1.0306121583874819,1.1524959200067697,1.0499529526026792,0.9949051202638833,0.8382082282464308,0.8124810930851054,1.1347831565204798,0.6862539319026874,0.7244256759239237,0.7651639184869742,0.8539790303315526,1.0457684681710138,0.7072113395026585,0.7814723662162952,0.822543606153946,0.9066049609857373,0.7633976681129874,0.7317331158774363,0.9847105659638319,0.7664157915702657,0.900192202799015,0.839528269088279,1.0411073003882472,1.4572760734607717,1.0135767450556474,1.0771860956956585,0.9152676463509469,1.2003009742629516,0.8040917971032968,0.8699099363920662,0.8262694087797277,0.7508627626238588,0.8043225386579076,0.8149071628484215,0.9634586511118176,0.8386746477609448,0.8132195926596624,0.7424899028035408,0.6943832965296588,0.8598558258256955,0.7204474276928874,0.8823675374891617,0.8597379402641746,1.07375803197423,0.9904963069290064,0.9712110730468504,0.869918847167742,1.0350210961340542,0.944028489828447,0.8319902124245446,0.7751516036464025,0.9417046144268567,0.7784644478809069,0.9247951725066386,0.8003131202929564,0.9030709747541401,0.9840593428987354,1.2286393253068295,1.584893445128035,1.51222360282468,1.5278731605090847,1.568621745872985,1.446799893016391,1.060937548683943,0.8530806812541679,0.8189382586654699,0.6944869572565969,0.7156274778445253,0.6799200825410999,0.718507806374026,0.8625722400632665,0.7283664872859521,0.7256855217613637,0.6334805701184368,0.6880919892535319,0.6837862483637733,0.7503277118029521,1.0056347054148709,1.1055791899244298,1.1095642435326811,1.2429498876702623,1.271966783642102,1.392973204392417,1.5469586233513475,1.3973758756675194,1.335439290649881,1.2090673240156293,1.0721320651033277,1.3015706413418724,1.0700422799615354,0.8671888814770983,0.7665308373877109,0.8572042874419495,0.8096286636171142,0.7654182956777755,0.7423099704382016,0.7199331349308004,0.6778578700595906,0.6889641271415256,0.7025705338324193,0.7761047313749343,0.7850956677330166,0.883968435871323,0.8010747967441046,1.040504265167834,1.4059006049122944,1.0213552771561853,0.8363812322584951,0.7241156486378132,0.8114986525162834,0.7272712766357118,0.8628147535196078,0.8625097090616645,0.7496193632797019,0.7940778944499444,0.7872409768022816,0.891787412347864,0.9698062360544881,1.0947469441422433,1.2335905874191209,1.3874096597037988,1.215444768464106,1.1665151592985095,0.9795419948817379,0.9435337630715399,0.9108745347268427,0.827997122292023,0.8380142662191253,0.7499001341460554,0.9578692681379283,0.8146571320308166,0.8717893465213538,0.9372719055849117,1.0559433070689965,1.1734531785252822,1.2115442043836335,1.0897999511696683,1.0110181681322217,0.9489527634514658,1.0288375159698633,1.2107330018632556,1.0637661144697481,1.1428336423960084,1.0342217679627481,1.2465883679492278,1.344898331348674,1.4463313288776447,1.5590210358819137,1.5042421228349885,1.5995721726529772,1.698291735759744,1.6556531521842894,1.8862646925912991,1.7786546878058949,1.6507734425545255,1.8931946180950763,2.0443551462761302,1.8875019845691956,1.8342356722458846,2.117021375885454,2.145434353628083,1.9602781033030643,2.1500488542793623,2.298226533486982,2.0545947807692335,2.07592305423176,2.4155013695650713,2.386370040466336,2.656836259440129,2.581480495607058,2.4498027231398707,2.5721235044172706,2.582200224276676,2.513958644744846,3.2525959454468207,3.2374070182187267,2.665114886745998,2.468391595309473,2.2268088842282436,2.337306089096014,2.284501301173532,2.3174070231273896,2.2920905492130546,2.3604943623986445,2.6188414437246146,2.2439938226731155,2.085664562103789,2.3237142648026525,2.1714885814754306,1.7328545166932336,1.895828660815706,1.808399977002376,1.9734489054318,2.083221789374413,2.0027183020603303,2.1473589321514024,1.8939834697930467,1.9162207300894398,2.1186455252772416,2.0994483194843867,1.8260573259149684,2.041186518368685,2.1003329923552996,2.0336002168584977,2.0522486575401344,2.295150100260392,2.301546977540034,2.1775184088249078,2.4004681455659322,2.5789248323244016,2.4923459050225145,2.44311532203537,2.2788289725798747,2.3919118287455703,2.515371884707364,2.3227044795633396,2.364918206542918,2.4906629856040525,2.474642587758501,2.2662286926666857,2.4711563306388293,2.6832075637045993,2.3651100981997746,2.282238068338849,2.503089627628829,2.556963304237937,2.355037891363283,2.250454911885162,2.5173299039799986,2.451131065306505,2.794499636670783,2.2702489118950377,2.1418831623928365,1.9622582111772533,2.0397315985157283,1.995757406605348,2.054042896621974,1.9720883406518737,1.9296687819370382,1.5481539503258368,1.5571680446110292,1.361851030905318,1.4131597804761102,1.836046315624851,2.1948722961796574,1.6858496479152267,1.6873639454310236,2.0626611377174595,1.9047620631882427,1.400522013480937,1.5460253023128294,2.095087724878612,1.5824791248812409,2.533374391823503,3.7371183815448377,3.5893698427609393],[1.9844195141351924,1.909730731098968,1.9645934934747065,1.5475351856950477,1.7483488504730702,1.8381991510553217,1.6375649824742087,1.695745702107474,1.513401679206482,1.317313643112972,1.247071853555953,1.327224353720034,1.286524283545375,1.1634896165137738,1.0928278528401096,1.1611163350131932,1.149736781407887,1.0857040027413827,1.0555165087803065,1.0969566778592195,0.9880098890900003,1.0315785413186567,1.1550797845011422,1.3443911499948997,1.1459405448724496,1.1060346204253046,1.1095502586109172,1.104635035931237,1.1822263078471122,1.2581961330169633,1.06016169435079,1.2738691096717547,1.2545881334596918,1.1782985142768942,1.1925700342059986,1.1599478889711738,1.3626290489532074,1.2259674175721382,1.2585193823629226,1.3796617489513008,1.286003546292519,1.2325340226796713,1.1865375305727608,1.429342739975841,1.4149763473316428,1.6183485180053279,1.7030211634598247,1.5651314235626337,1.414750906196928,1.556336600481457,1.5372136381813215,1.5224719014398609,1.4186231148438293,1.3865317398016304,1.6411736329106708,1.2286381033452203,1.2124674318488666,1.2800605498148132,1.3198894300705273,1.4429925480240822,1.1276884651488106,1.071757186914715,1.0525668866512143,1.0165423798196875,1.0096849147521219,1.0054486486905023,1.085566879970949,1.0769687807679298,1.031805076446063,1.0096979894938698,1.1216706552495592,1.381067707503922,1.0594189736901285,1.1719815206387947,1.0438739726160333,1.4940598183054867,1.0798704669986237,1.0987782724042554,1.1170484011006472,1.155672611916867,1.3298667558821367,1.4241187405436515,1.507397820264999,1.6043879377463424,1.4878425755384046,1.3936025440475044,1.248422018621423,1.4732566483521252,1.1385735144706732,1.2388334710476085,1.120423819529351,1.1119353180414737,1.0066719499639576,1.0669051353312264,1.0660742850989482,1.0579545962163748,1.0520673072190612,1.1848279005102,1.301343989122951,1.5770759660852514,1.472488828760167,1.776567983167198,1.5855663714650092,1.742301322447482,1.698767222613718,2.0130002082601774,2.3775558913634276,2.224231048466552,2.236324517133008,2.371873981861951,2.213902886211976,1.8247631188552231,1.6287688496356418,1.4626819087957612,1.2595572326429851,1.221407337370617,1.1237750998885419,1.084284491036683,1.0694945803184275,0.9568247280067462,0.9993343317465152,0.9996110664763074,1.0896560260117116,1.1873185015605268,1.3615588972704593,1.5770355196959454,1.819112425936706,1.7699778671320776,1.896593794433103,1.9670948793504852,1.9503385576513763,2.1243703748459817,1.935001893806046,1.981147495265627,1.7680281305531174,1.6624799126980772,1.751687146567846,1.5324350429834361,1.2369977648272061,1.1703463289145488,1.1586678122853193,1.1264702484778784,1.206314675532117,1.1954424439005988,1.1987273950921749,1.2392436170258345,1.2598029335593988,1.3563816538779865,1.5262416213369587,1.5783543401520388,1.7633012737842602,1.6897689721029632,1.7809344230742716,1.9127945653552607,1.6655270858811686,1.6267002604220056,1.5341926612232983,1.6451573993953397,1.5015597386909587,1.6476335155664765,1.58009405403081,1.4009231262909612,1.3814692751476367,1.4024109543963474,1.4215013118675468,1.3096466377593774,1.5215521654121207,1.5406193296589694,1.6891838410513202,1.5435769473714447,1.602276220924671,1.4908288658523683,1.5411142624113152,1.5734417618289236,1.556509328706631,1.6445392488600323,1.5147155354215964,1.7048294629900622,1.5927335161970222,1.6468116628214002,1.6325529768686395,1.7970945020445024,1.8311548106849067,1.8069693862834288,1.6529988578845587,1.6001522659237535,1.5295531706791965,1.5444580588749237,1.5451891796216832,1.514401145179076,1.5411695878825669,1.5119020859682517,1.664889598803151,1.7648170991719339,1.8915963749284077,1.9815227974245495,1.9459633165934545,2.0564720470686018,2.1213987925645736,2.2169368737888737,2.386922866993165,2.4105270179623917,2.2631768354833914,2.347360536371195,2.5716162377021172,2.4928916887599715,2.2285719515221407,2.4963473572574624,2.7070788952761546,2.494977523762309,2.521999744630569,2.7147806949090163,2.656480410451984,2.4946725494118525,2.6502455767234037,2.545935748815245,2.8450038562155835,2.5703609506874807,2.6247677332059522,2.779925883986668,2.7686271685624813,2.696471605533863,3.3571526743752256,3.5382237491889117,3.0190000487637976,2.887601691795566,2.7687733584414587,2.824537320679422,2.6306834358584816,2.675076760430232,2.7539234778299257,2.679569196272069,2.8414645124905524,2.5685221133216296,2.3976539811239252,2.444630604263099,2.3546851049764155,2.0114129886308936,2.238355001513332,2.3470539188770774,2.5283163034380536,2.6757677820604617,2.6955443474680494,2.7970646722766976,2.6960554170197133,2.631662956121772,2.8246765222134242,2.9303641703381547,2.638237070070212,2.767928228121134,2.901598883554597,2.8875537487323615,2.8039253297447067,2.9681542891286123,3.0557537550092047,2.927500238744891,2.9858103958872766,3.125085644609098,2.965564677690485,2.955377028759602,2.850161279736474,2.8816868206344752,2.891836974038449,2.7422302902904887,2.7751195196206746,2.773352825048608,2.7266509597890884,2.552363346764064,2.6811719158114,2.7779034765497412,2.4817765014083264,2.4464788842201366,2.5637160206548515,2.527504176153806,2.3315805145630963,2.2404074603916055,2.350371214497632,2.2421835097267415,2.61873373246948,2.2085041170275472,2.28299896760765,2.2213627498151665,2.070508272100054,2.077587872080829,2.0394740710523434,2.063410612842924,2.152916809891606,1.9592600651015881,2.0580200414001553,1.9278855663008325,2.0058162652966613,2.6163432538494087,3.0692467853621657,2.628620573498144,2.5395307495838817,2.9139069337143026,3.0131825188563917,2.4071992225466543,2.424643290502372,3.167772345624737,2.7931526711388455,3.658967002614628,4.773578574969662,4.247983431324602],[1.1025258472494275,1.0117628109961785,1.058265370201329,0.7735893891089289,0.8475692198413537,0.8464092260380883,0.6807975482042894,0.7812584427861059,0.6759813967198759,0.5841489940370863,0.6721264854164293,0.8015586090194526,0.6487791923683305,0.6233726072701172,0.7520485216795725,0.7012127143136277,0.6648930541256447,0.6976204282227255,0.6775048182004403,0.6606639039725286,0.6782074322425113,0.6690515223135233,0.7989804690309846,1.020610553025837,0.7666728503018309,0.7155245155501283,0.6501561670705692,0.5989312555638568,0.657708349151079,0.7118887876007431,0.8024724726844368,0.8186895106979412,0.9845142697055733,0.9866336904103733,0.8342434693626868,0.749820973370845,0.7468063019568709,0.6640199839795679,0.6215591493540281,0.6281838337089138,0.6140987409427439,0.6553736983589386,0.639498303701024,0.7204216946379169,1.0034686243189916,1.4226642794343847,1.510511409691901,0.8476592854150081,0.7927383755400588,0.9303774134788196,0.8774844147463804,0.7607817174684547,0.742008839304256,0.6556994014098707,1.0040525147340347,0.6974903735621321,0.7600424570795797,0.770718992777071,0.9231669766872498,1.0777984826051719,0.8287149391299877,0.8761837175298993,0.878581507381587,0.9329913592955207,0.768728238723521,0.7678239910373678,0.9679771427569841,0.7637817702797677,0.8712096540382486,0.7828965285278457,0.993515753528151,1.4163742822970908,0.9387493121025148,1.0550069064097443,0.9277753758752817,1.2048632654406173,0.8629194110856211,0.9092774773849036,0.8548448734794367,0.8126392378269603,0.8470274282867669,0.8239953968877938,1.0099115774313456,0.7582653479816532,0.6957398273897842,0.6967961321072713,0.7034234881859642,0.8485397902284049,0.7573479124770294,0.9761749552577981,0.9081055234932176,0.9614816178955307,0.9949225846137291,1.0344238766001101,0.9305472379539215,1.0775490801128107,0.9703620171089461,0.9312852362523839,0.8627621394127425,1.1097585630734057,0.8810746026645708,0.9929977932303978,0.8422586875251834,0.8661785490645476,0.9081115323786632,0.9839386333937924,1.288476898053797,1.1066120298000708,1.1289000794899227,1.243221238226628,1.0977799420525887,0.7739993202557762,0.6911410776812129,0.6222083998166986,0.5781350385986576,0.5557584964243073,0.5820788770781482,0.5920350131728533,0.8512741599025972,0.7386093383219132,0.7098065818940602,0.6280551636912348,0.5916824701128143,0.5544476150566536,0.5790283116243702,0.654903821561172,0.8132702023989584,0.8064016281632943,0.8774795686224208,0.922483028392322,0.9440722588705989,1.0804341544965743,0.9211805988325409,0.9447870797267156,0.8017229875347198,0.738018945204841,0.8882016562936929,0.6933724380356444,0.6155034071865495,0.5622245312791205,0.5962810453599149,0.7111763951414481,0.7110638522792067,0.5872560015490836,0.5703296933081521,0.5961873776877272,0.5525457714218542,0.5880371929351542,0.6671504304390427,0.7108141314682805,0.8672786535784447,0.8549979385334326,1.143680372690943,1.554004203650174,1.1973028445991558,0.9612846564814596,0.8060408309386866,0.8514862434909917,0.7211550583671542,0.7763001243361519,0.6887669727706702,0.6122128739481328,0.5831864043063133,0.6036714053616637,0.6340319192291582,0.7333107437342831,0.6999715751287449,0.8109188501735726,0.9443411197029649,0.8253996888937779,0.7662804613389012,0.6709309762290596,0.664981195631382,0.6766651790538755,0.6768346255414125,0.7891054720200608,0.7450123480360511,0.9921219594858631,0.7384119749120107,0.7957965307122209,0.693996682827912,0.8099241699963019,0.8142672803845822,0.8042197560679271,0.7133450910753691,0.7252434291094698,0.7449389300146854,0.7939665515502582,0.956329307771751,0.7495739645415543,0.8085856764993375,0.705966783594568,0.8169877277900532,0.8695193346180639,0.9392241602899756,1.0258660538727684,0.9920697392291168,1.069600363732018,1.1355126982604455,1.1912529023238592,1.3706552566957049,1.366986914772986,1.2133395719074511,1.3566908717120563,1.5532044512205234,1.4474981612228848,1.3029385778643978,1.5672777112894263,1.7017638610194186,1.509521567159794,1.6170937972910175,1.785825199916226,1.6650614199927904,1.5808279560742489,1.810896874297018,1.7465790246306068,2.038195261593105,1.8736337990493825,1.787099407119331,1.9296407826465973,1.9407315711260713,1.8695345902034848,2.5902746348629084,2.6948821378976473,2.1205215398339945,1.932661889874861,1.7242502302053435,1.7909296001856774,1.7404054534080458,1.7221116943328936,1.749798286490947,1.7507082303608439,1.9731966864631991,1.6341037902490003,1.4814104603910803,1.6647280803054652,1.5500139507844197,1.2266086244788064,1.3208170685754295,1.3282834034526552,1.4539126171971204,1.6069024954033013,1.6153525477007886,1.8584161363486424,1.6252300743881212,1.5326434593279405,1.7255236979241906,1.8196430648222681,1.5489133019490522,1.6687801183997177,1.8083938999517803,1.7907895582953965,1.720833175822947,1.9315921863126684,2.019526121531313,1.9104291488884793,1.9928383401658611,2.165725372271612,2.010568704725449,1.987526243626339,1.834132369219649,1.902409828323689,1.9758305412815986,1.7822147076504382,1.8389091356832692,1.863366530617252,1.8350678338004354,1.6538570488648103,1.7882529989507367,1.968267812982737,1.6808336607979333,1.6334586253169825,1.7753611646268361,1.803040134488493,1.6134703004067703,1.5498299593479874,1.7558892661201135,1.6932989918739136,2.092670204650301,1.5552656221599246,1.47961669357939,1.385561370474523,1.3863325402669306,1.3513649631441969,1.378257062213961,1.3431475701495492,1.3060249900778356,1.070200483674753,1.060138834795408,0.9261172907443738,1.0129211671497358,1.4593897023519773,1.8686321617301427,1.4299128571866844,1.3698320353352618,1.7531682124356522,1.7534251985842058,1.2340077338589013,1.2787848588786723,1.9730079439945787,1.7086366648413618,2.6513632163168785,3.981030603841809,3.8460673371689182],[0.9242515798121712,0.8998599833911117,0.9859611496321161,0.70335430880085,0.8270022208587428,0.9005297140485184,0.7390651489940357,0.7706417315667682,0.7023223786277061,0.6091218186068714,0.6572501965025155,0.7193640981913312,0.6235273378102674,0.6193859074313534,0.6580550381372181,0.6263699779624177,0.6208784758243349,0.6426528320412106,0.6566684415351831,0.6330839329036854,0.6142999849775039,0.6104411904103956,0.7941813158280554,1.0246983158766032,0.7457573286809278,0.69632212668843,0.6317767778143536,0.5745609747326531,0.629726237610964,0.6410926110061459,0.6726977028265169,0.7130259114869059,0.8246945093951334,0.8237194279149347,0.6934219499807368,0.6648243530323841,0.700135200421092,0.6224291480536982,0.6098898777009476,0.6389214336620602,0.6441556116158222,0.6896349771862768,0.6333182074854229,0.817377740505925,1.0029593754592583,1.3598458844658217,1.4603298227491583,0.9640935019401101,0.8219282452440603,0.9705202979628519,0.8808320948851965,0.8233367695411173,0.7506046117942805,0.6623021878585289,0.9733561105217595,0.6470479031897842,0.7406991931226159,0.7098617491609961,0.8542922513198923,1.0711328862834149,0.7612161909752027,0.7699798680876087,0.7695203928556493,0.7897692078958499,0.6933915290310269,0.6699566767864161,0.8919349042365488,0.7196676054931413,0.8027072745574347,0.7369169552855269,0.9423663166051088,1.3335090802466392,0.8775641212213158,0.9966556332986758,0.8355080233490737,1.1647738260594043,0.7788459182692209,0.7740896254599595,0.7317921815512051,0.7116645577173168,0.7347713159689757,0.7475545209686695,0.9155554498077979,0.7635019993808743,0.6645795747104197,0.6457287803145992,0.6450034184207276,0.804972243290438,0.6689181196007911,0.8318404030856053,0.8009015607212404,0.8332343381160372,0.8094045753577156,0.8552097549924158,0.7729921335579059,0.8968894513674117,0.8365142139332106,0.7719456836322116,0.7248288947320024,0.9893565906170344,0.752201886366204,0.897649703395357,0.7456068614362281,0.7910229534398386,0.7730380285088272,0.9888100882762632,1.2962168978877542,1.1226650110006895,1.1602644429645494,1.3050844885954205,1.1460707438543685,0.8424913790716261,0.7241284534065747,0.6523567115062846,0.5674065533097604,0.5723354579459298,0.5682495409894954,0.5644276504280137,0.8052060122506174,0.6318646598861553,0.6628575271846378,0.5659524912815607,0.574668000537509,0.562964956671365,0.6218787570389406,0.755466395613028,0.86949568596374,0.8418723927540941,0.9126183591765893,0.9655356881600432,0.964463844675203,1.0910189407551603,0.9408886681656833,0.9719026415902423,0.8371370849263842,0.7851662051640074,0.964278405480017,0.750610089611082,0.5991056590766497,0.5312592953802285,0.584204687878891,0.6502609146528116,0.6944738460038402,0.5832299737991372,0.564091005003881,0.5884682059780977,0.556381023536332,0.5951546738067102,0.6673662432240106,0.714936844909055,0.8166319162633043,0.7996112319233849,1.0226574562375677,1.4519746246691345,1.095974645886954,0.8306724107751102,0.7154434243878429,0.744047595762698,0.6667051410961277,0.739257516080087,0.7000101914338532,0.6155326165085377,0.6177928912982854,0.6175204769312428,0.6706927589723087,0.6876558534408878,0.7305712727009838,0.8160815594764965,0.934168206924669,0.8243230750946469,0.7899167521777957,0.7000324518930654,0.7031308190831282,0.6936400622958866,0.674026474218214,0.7260427484068558,0.6885035906657931,0.9099939040231889,0.7223232034481355,0.7413597703990772,0.7111830419831537,0.811323532405265,0.8345058038351044,0.8306937963655612,0.7235663560745877,0.7411911848346115,0.7486292014604906,0.7760766304751273,0.9657026558285817,0.7882658626280671,0.8479337649615233,0.744370058002481,0.8182858599836148,0.8610338695169971,0.937595265747394,1.0434352347464488,1.019118016720012,1.0544188237982648,1.122758758725081,1.1742343597560871,1.3228572273425907,1.3340645728988965,1.2074875259306397,1.3312824394516636,1.5161257397583408,1.4452784564240029,1.2811971826970896,1.5127278131500554,1.6634364442717595,1.498891258867015,1.5897541549061318,1.7509810575065132,1.6683078430433704,1.5909874166036972,1.7702492666628007,1.6764156719248373,1.9240998153264224,1.7259846389468838,1.7036171928691264,1.8381454590324375,1.8258670355665043,1.7754455934290485,2.3230822780188976,2.4779921221851064,2.0343104644427954,1.7952198393974121,1.6406110071139415,1.7045000704515723,1.5900800658889263,1.6133076324470956,1.6668225696257855,1.6454338939806505,1.8659919606380084,1.5496112553188668,1.3881580507737663,1.5285161449740496,1.4545701176527963,1.201493700209387,1.2796667656973209,1.281597275681814,1.4139918065899435,1.5505300883714592,1.5521708780183425,1.7420989736713033,1.5744573108094495,1.4919642038529604,1.6780427544192713,1.828752702877107,1.5356376442194886,1.6494127064312742,1.778151764023448,1.780617339156977,1.7062246278647453,1.8759153851959707,1.9603314725626546,1.882914697251314,1.9417779847516043,2.073444940093575,1.9252649826996666,1.8889389514276518,1.7744887201996054,1.8070861438237689,1.8496654747479095,1.710079983823597,1.7543387108256583,1.7743218034477874,1.7579145179246867,1.571485013314966,1.6901724430552787,1.840476732770462,1.5805320241081415,1.5291114061398805,1.6500877856576157,1.6575412674414636,1.5132931792994904,1.449328966978062,1.6148396351190981,1.5434859096409363,1.9911846617859608,1.4524709588921385,1.4115733348587494,1.3371643331014837,1.3153169967391576,1.2802176038792725,1.2781021771384256,1.2696090813038907,1.2593853803200943,1.0279388316374327,1.0644516811091,0.9553222660090323,0.9690879434531536,1.508071294988877,1.9319670226648993,1.5599656663787362,1.465290034382178,1.8512505355810753,1.9139955774595456,1.378727417298602,1.3832718868865217,2.107873804682454,1.786057933031869,2.7801715641241573,4.05533353854203,3.620127532225876],[1.0689772998241949,0.9797203790121158,1.0011042599531497,0.8770389477331361,0.8717131520352068,0.881265562733945,0.860212270193987,0.928307844787749,0.9832680173925152,1.0362373954348474,1.1756600671235404,1.2409500924078465,1.1286966357521524,1.1884212681370343,1.3688345666394164,1.3034607988867302,1.2468447416442339,1.3403113055519973,1.3358743487790938,1.324856616396517,1.3999578246993778,1.3843007548845818,1.3661810192829917,1.5376023512280805,1.3792248987506222,1.3462551384226182,1.2708991165619679,1.2176017210161214,1.2460202533047056,1.248389118180113,1.4852010993829232,1.3562705955043906,1.5391135736260773,1.594829812269768,1.4302402098055196,1.3774631205950438,1.2717268104428538,1.228723787881665,1.1584036936243671,1.112323139510019,1.1211527575809208,1.2536619263786808,1.262768721011677,1.212351126859294,1.4656485538579922,1.729307870533987,1.8194207805988516,1.253405976524725,1.1943918378358782,1.239304554282139,1.198161761395207,1.1269930216050217,1.198990357053341,1.1107066588456334,1.2184646736464102,1.297151295328304,1.3240713355465608,1.3510428764839377,1.501272325460063,1.4973216254890935,1.4562276483427592,1.5461767848768317,1.5980731452056718,1.6547502933096727,1.501473382485253,1.4939387861205136,1.659244524018158,1.4400407038356648,1.5371043608481054,1.5073515407454827,1.6209332511610546,1.9506798264903178,1.6357387033646535,1.6740066385995551,1.6269572134375014,1.7981878904805,1.554355815024155,1.575496213539336,1.5106481574881025,1.4784904591350294,1.3641598042059628,1.2466330598671285,1.4253243517716434,1.066467699383585,1.0745034622524625,1.1358273443969327,1.2733686127325032,1.32639629323749,1.4117827416842164,1.540686949589525,1.5746214724102836,1.720254167934791,1.721507282843609,1.7154894978865811,1.5916968344746556,1.7403201318788886,1.6189904363217769,1.5120943503095967,1.3556633670054383,1.4069797293728203,1.266379296547041,1.1694488113134751,1.1356290410904313,1.0365686670276748,1.0695143160033944,0.9833800974016331,1.107045443792429,0.9702563648948104,0.9986932931596889,1.1174930774402918,0.971786398459349,0.8539653538597447,0.8759315342556636,0.9088136446317242,1.0437299603228478,1.0128522855822022,1.135101105551278,1.0835216925805662,1.4182016427472948,1.3813866436711562,1.2946702760086208,1.201953765704003,1.050118338419527,0.9769868307604518,0.8967558027150351,0.8286349962982437,0.8448603571042931,0.8635449508974217,0.8737387802068789,0.909016648575782,0.8999905696952253,0.9574734946823937,0.8853228843366117,0.9306651985892447,0.8868252337647494,0.9007977940247218,1.0594950876842106,0.8951476963780058,0.9371067180577376,0.9794132841661349,0.9580477402079887,1.1761680719358028,1.1585070256527328,1.0414773442747165,1.0911757652302079,1.103100606923857,1.0465757374403695,1.0447097814420154,0.969838527194667,0.9842251596951728,0.9668074605711081,1.0455708325360793,1.29039132979735,1.69991906989493,1.4593286853930962,1.2082786444269704,1.1167071762381688,1.056903237969351,1.0901667976789577,0.9812195651148551,0.9283596209900721,1.0414642189108028,0.9842791675554096,1.0139299084788347,1.0008324776974864,1.042274778401798,0.9271905182508907,0.9688613316359185,1.0103465082132996,0.9648246054050633,0.9099529506723838,0.9008568659721635,0.9222017026525998,0.9318630240634582,0.9742445670517238,1.005494115471449,1.1071642345933208,1.2337044746876884,1.0353691074108178,1.0251352289081705,0.9360831719940965,0.9128305025117812,0.8972503814525783,0.8864505879136456,0.884277962813928,0.9428664844784149,1.05393423012295,1.0656501639414153,1.2290444739916682,1.0411773607199593,1.0836937142812693,1.0427389944103014,0.9633580567823543,0.9115360235870047,0.9215997702498138,0.9932664376817046,0.969322893634261,0.9978044869264192,1.0627471193836606,1.086599020089066,1.2101438460657508,1.2103199197749206,1.1028532752825992,1.2456630925067986,1.3949568823271767,1.3193334725738666,1.2489764624882482,1.46471751786021,1.5459359204296794,1.4237536684574614,1.5529420733578234,1.6929701948094031,1.5868199453943512,1.5577905440161348,1.7739804989364152,1.714487040427748,1.953016699677082,1.818719712294824,1.6967999272522374,1.8352935567087971,1.823420501096268,1.8496844360610307,2.34763896666261,2.4376264182912473,1.9167350901008953,1.647701340775679,1.4651295469774375,1.527963171269536,1.5216440329987537,1.5019644085183244,1.520139269847731,1.5393606313738915,1.7726700712066343,1.4353675453169747,1.2858364713767005,1.5393308916568544,1.4576213946103866,1.2869283906910185,1.2419375340508536,1.1592727782001242,1.2370364272944903,1.3703808183400548,1.345932080930419,1.594766562047005,1.3340070064649379,1.2575654371391667,1.4692679164545017,1.606778380210905,1.3168579721082125,1.460129393737872,1.5938931619807009,1.5873319975228286,1.552278930319809,1.7186668552469733,1.8008479940346012,1.741217129438008,1.8248872919907455,1.9792394125218515,1.8289663593200391,1.776031146674216,1.6259133559496324,1.6807871703162867,1.769172435358663,1.62735555285249,1.6538220564837585,1.7186887690536559,1.7225025163441223,1.525933732394131,1.636529650942881,1.8465159199878622,1.598301823164511,1.5391878876958758,1.6544296288321014,1.7070889030456506,1.566017836635279,1.542683718898554,1.7764453986491548,1.733706710010949,2.1080145032339703,1.572255506160053,1.4521928553210355,1.3621477233114492,1.3813033242797743,1.3159687594466587,1.3500368799515403,1.2934181012169932,1.2606296636515346,1.023893712414063,1.0189739458744558,0.9252559590254197,0.9409288318854131,1.257469269396335,1.617766344349975,1.3190375785305157,1.2085209778823356,1.6017253238754843,1.605358732851694,1.116772916346161,1.1943892613706106,1.8656197353105703,1.5644666772122697,2.524237095490851,3.891069154053778,3.551124340366114],[0.7243378353226704,0.6977958929840532,0.7887197413251488,0.5154319182653075,0.5828208145094669,0.6280530473931721,0.4539151550174588,0.5036196375261685,0.4313437130693813,0.4200197173454815,0.5340338930824705,0.6277746427908372,0.510313699022924,0.5671654867381983,0.7478624784540852,0.6661008367682374,0.6345293475645334,0.7372590694130239,0.7640952415339708,0.7220345128776783,0.7810809796026911,0.7593962355348698,0.929656671570827,1.1240936491488114,0.8124498871434818,0.7836675500397596,0.6998678183500175,0.6350406816530836,0.6498664266363117,0.6267554389303525,0.837266818990802,0.7372643841782697,0.9289690481292068,0.9683863043805953,0.8083237584379147,0.7435701945356789,0.6579182787351838,0.6321103680871804,0.5745562237422414,0.5233015484811284,0.6067291391473045,0.7388742330098417,0.6920989219899074,0.7646584848574396,1.0939467138172414,1.4714638921230474,1.539318889268638,0.9193439348693898,0.8003645545016999,0.9035965999189439,0.814538630537962,0.7043205301098849,0.6607725313836985,0.5930245046636754,0.918014275417617,0.6930410190768737,0.7724884515549705,0.7536193795482756,0.9356762727996195,1.0557997083702324,0.874677670293503,0.934330104701574,0.9658132827420058,1.1016184115920935,0.9041212698442307,0.8446727878156749,1.0819866434278593,0.8513812192730229,0.9851847161613662,0.8937624787002121,1.0700384829882843,1.547354627775281,1.0549542291330873,1.1430143238703363,1.0020790323864228,1.2250868604379126,0.9402707759787768,0.976809375038541,0.9013942527406177,0.8540074901586399,0.7928832310435083,0.6917700292591491,0.8847184096108488,0.5218995045565846,0.5194810524427683,0.537106207131879,0.6767858336314411,0.7855640522986846,0.7875714884072985,0.9649074378526887,0.9528644015105932,1.091570848582093,1.085700188805839,1.086214152002496,0.9534484484760896,1.1100820061079661,0.994054787327097,0.8649661315813317,0.7327036623961217,0.9024436825968964,0.6887144246755246,0.7731409409802175,0.622080783778794,0.5933840629124326,0.6943449622557365,0.6986575881243917,1.0213141737527183,0.8710308825193782,0.9110920914870018,1.034800503482712,0.848329000948887,0.5285162663841687,0.4337501097347437,0.41470126492841886,0.4487488120818779,0.49488426614657166,0.5966265725957506,0.6092943817803751,0.9890028351264103,0.8290871505282762,0.7922494592623228,0.6488521619968591,0.5803962999390547,0.47807812089710744,0.42950280389494266,0.5056864884176383,0.5903242484958111,0.565707779738133,0.6293907781018504,0.6668256750559114,0.6934438967644072,0.824593502262182,0.6535297235782397,0.7132161562447956,0.5492629422731389,0.5141246145611006,0.7560357848935654,0.5606819444989619,0.5126007146878329,0.4634552309781911,0.5430278673018659,0.6621588981902471,0.6770614846409171,0.5598916188559898,0.5366952760320173,0.5452783623585093,0.46931849566608574,0.433025162270379,0.4221288017009915,0.47061395628121344,0.5705257736959942,0.5455570448901222,0.8526044808787328,1.3867608357721817,0.9664224517322686,0.7032810334516548,0.567184589475317,0.5737999434980073,0.5059423970532579,0.4982211918020624,0.4431386778989759,0.45453136000104155,0.4368638113847576,0.42217295522748777,0.4802344608933039,0.6066657796243824,0.5298934827398828,0.6478350932009942,0.7610763944339992,0.667166690480142,0.5779338512600593,0.5008854506110462,0.468561731226089,0.45157393735960377,0.43488913037680677,0.5353964684208364,0.5503657091609514,0.8332706436664945,0.502875853377216,0.5655351666890908,0.45511447557568513,0.5349524627997723,0.5568655174422025,0.5444522103163575,0.4717495442161325,0.5006020490469475,0.5634267726266039,0.6027248669900529,0.9302226539634723,0.6166067741833048,0.6943194887955473,0.551173393175122,0.6083702906039418,0.6361666930341955,0.6796577860005338,0.7937176355116258,0.7777263639352815,0.8339787967903229,0.9159400040373116,0.9419884200037423,1.1539384732685527,1.1459709778658964,0.9811049385591292,1.1599596675723312,1.3760189339750173,1.2675139933068262,1.1098513349338948,1.396142054496442,1.5497783922407524,1.337661720004712,1.4836091928186241,1.6794333492073836,1.5258658306354567,1.4678163769319053,1.7311398427122546,1.6368868727808075,1.9219314885580019,1.7429665319908338,1.6628797912540318,1.8194986102794175,1.8316755151369957,1.7452229428345631,2.4272243473475803,2.509410985804825,2.019738924371478,1.7730378396566675,1.5094002625590475,1.6133509613668835,1.5302470817128349,1.5479526476649215,1.5600628427460057,1.575141182250847,1.811626418540004,1.4299997215226552,1.2786789260910925,1.4746568875562018,1.3485046308582802,1.0479979392740304,1.1139687078048173,1.1034047059438832,1.2513255286680454,1.4113456021386874,1.422903142460854,1.7180963702375007,1.460075711837415,1.343102790532862,1.564740001216746,1.6943153533460584,1.3948360865345681,1.5038802728817298,1.6666123190782944,1.6450852750844438,1.5683493183861346,1.8138544399612238,1.9113088458808971,1.78787616241959,1.893262803903703,2.0734238792900883,1.9117910175634816,1.8762844322632628,1.7161118240032804,1.769559960108794,1.8454049430309212,1.6434817293606965,1.7007302667524815,1.7434747494133176,1.7186134908384212,1.4894507745923329,1.6611896968617275,1.838940693189709,1.5185586599682053,1.4356269189071815,1.6334658340369517,1.6559148324322928,1.4802278511407083,1.4170457648358894,1.6392188237856482,1.5753659531335353,2.021026665836782,1.4345569594767698,1.337489665978598,1.2323979773037865,1.2566944130035613,1.2048054972252265,1.2252738661941578,1.2033389877265002,1.1247749293540583,0.8251582464218851,0.8382478128072012,0.6976288251274901,0.7293381501321098,1.2683238078658603,1.7440433142082472,1.390675718036173,1.178483914576064,1.6528773608853586,1.6831900326664675,1.0707521829772726,1.1237933381815628,1.876439160787919,1.5714306360759878,2.5235874174323123,3.987178417658045,3.66279433603064],[0.6759992602338903,0.700431542517534,0.8019778900476685,0.5570564937450861,0.6629664982017226,0.7089271332026065,0.5212297621227376,0.5356345520333153,0.425906760851188,0.3958508047520483,0.47114191927123766,0.5938882212166573,0.46515223012957846,0.4596893515727286,0.6626694692805453,0.5829499243829104,0.5480377211541736,0.6125004414592305,0.5908783612829007,0.576504346488187,0.6121644748824635,0.6136012802819677,0.754890278606573,0.9800031888447228,0.6629375421070731,0.6336264738318818,0.5646554768168617,0.5105913826061736,0.5481969410798746,0.5601412338267484,0.7206120041877051,0.6801688261174361,0.8551654501886622,0.8754948226496891,0.7308204181052254,0.6403272914054104,0.6139191719975541,0.5355221509905798,0.494088952122626,0.47461677157612064,0.5396514474313613,0.6298158991468275,0.5784345510606851,0.7070003410035336,0.9988490011145938,1.3901765376428992,1.4471672454862439,0.9206998085692739,0.7727873439139885,0.8534250467902985,0.7644022433835248,0.6640648145494428,0.5822258634303337,0.5453116462377431,0.9358325705742068,0.5779258012215228,0.6672125079370718,0.6523890168306054,0.7701700432855606,0.9066988293347779,0.7013953169116713,0.8018357729791638,0.8133673540037663,0.9343763274024963,0.7033627143287479,0.6986801579842917,0.907366286854803,0.7187155364609265,0.8308630131464424,0.712922229471784,0.9487056173483617,1.4768178897595867,0.9080421231157313,1.003935432478496,0.8286849250406432,1.1411840833319136,0.7942593812499839,0.8522242177250372,0.7707820717605622,0.7093625480880766,0.7359288756719428,0.6609245943576356,0.8935741756909285,0.5418165682935552,0.49450486498104146,0.4993054189343341,0.5835365078011986,0.7776298395516359,0.6654102468163539,0.8966140358150142,0.818893512504919,0.9564139352026273,0.957477093882345,0.9725892011603855,0.8445467137496656,0.9903179532357436,0.906808451326593,0.8059446107353386,0.7008628428347503,0.9016527096936567,0.6847633903823196,0.7835971146977064,0.6374847672447579,0.6328524510053205,0.7573369556030041,0.781507610604271,1.0823034931765738,0.9460155449604402,0.9656023352024423,1.0884189620061144,0.9083809933647344,0.6082725624925818,0.48499834197297864,0.46268409842820385,0.408972228650052,0.4417175470704817,0.49362217309250855,0.47060591355660836,0.7717128654690233,0.6492256412794924,0.5843636120949488,0.48818018717744194,0.5042934303523449,0.4379140310386044,0.46040900661037754,0.597341835105671,0.6857361793070839,0.6501173832432454,0.7034281746789457,0.7428835301624779,0.766777581326892,0.8888920551544198,0.738836233874629,0.7945628253881896,0.6324569801741925,0.5846467606688981,0.7803111918927644,0.6028622935469237,0.4784230653213608,0.41348428462094955,0.514707238360864,0.6097991650782457,0.5813927114526463,0.45577822389337025,0.4316179418044701,0.4885702565077843,0.40942807765903094,0.4400481183193116,0.4412575193313447,0.48446408087668186,0.5915122472256593,0.5420460149369393,0.8379097965428383,1.383661100758928,0.9655141470763119,0.7141476133030596,0.5748513627368272,0.5917158773206088,0.5197611168410999,0.5113544710038134,0.47879597325882456,0.4645989266144388,0.41124892379010697,0.40270567433890675,0.4694840278428446,0.5624366237041165,0.5741426676511331,0.6727261109291091,0.8039635913033787,0.7000692065617012,0.6316377503442843,0.5346996082642309,0.5146740297818505,0.5085463688169504,0.4539346340328299,0.5634480356556688,0.53277615517289,0.8277281850463549,0.5208744497652144,0.5872286054573644,0.512461590097236,0.6034384561142325,0.6418816325020587,0.6343027917054677,0.5405052053315453,0.541712655629843,0.5501915242173654,0.620015577833195,0.9155129124237078,0.6538805793503091,0.7381553520464401,0.6078315595893976,0.6734813899669957,0.7211116846490125,0.7560874120431389,0.8301405120690359,0.8226803281616994,0.889815096166792,0.9494521767401589,0.9637228886362098,1.1621189431255339,1.1516640273780316,1.0001813459182365,1.1738221239937934,1.3627192474208838,1.2620309252148538,1.1204524969507559,1.378425314105909,1.504314753013573,1.3277281699813608,1.4692259260919613,1.6415672546752884,1.4960599853323087,1.4742031977100885,1.7114300098458548,1.6295109504881489,1.8604490854556865,1.6958052129585328,1.6269694855011205,1.7556861883973476,1.7524414168350364,1.6910887789198052,2.2682104275980532,2.3695971865859295,1.9698221732033696,1.704826178789941,1.4547304339366602,1.5748667956712297,1.4449760620386474,1.5305287538210264,1.5463185501258794,1.5532848107067214,1.7849241181931121,1.4357123368205957,1.3162054834940744,1.476480746172462,1.3477900970505015,1.0620972299089377,1.1273278608990913,1.1288808774257575,1.2636378783474702,1.4048761824361082,1.4101123436398773,1.6644789248665388,1.4528189162105785,1.345265647692651,1.5210354249337033,1.6519727089217666,1.3885415975528828,1.474682662728605,1.605172504944126,1.5876322679425163,1.5222477318531087,1.7376908704785987,1.820819361577585,1.7054228381648122,1.8140179710225244,1.966482535687108,1.8272482553190859,1.787063302006926,1.6575539734709892,1.6941005216958245,1.753445967885128,1.5975273723455021,1.6633961099249417,1.688029359778836,1.6780736429144936,1.4692864395907932,1.6260518748719721,1.7942492574967701,1.494001655857778,1.4217706513695427,1.6178108545307872,1.6515750195599788,1.4706273258309717,1.4190447359820377,1.6086705242130803,1.5655150753925087,1.9622030415729952,1.4427526757305769,1.3442678814483138,1.2521085260937113,1.3085962117682803,1.2503240871808239,1.2671332757695821,1.2552211318304178,1.1422925396006458,0.8504640337936015,0.87702723367093,0.7540421799903168,0.760352217542112,1.3044972424398198,1.7725964855946574,1.4681576513493246,1.213131443314437,1.6872954166285437,1.720775895465127,1.11082162561629,1.174521734126301,1.885355942865541,1.5483181055220296,2.5460082864673974,4.06433381470324,3.687889148173404],[0.7589349729789184,0.679200075616035,0.7036188369055774,0.5555742280426377,0.6338401227978492,0.6107930727270425,0.5122154300642605,0.5409333442827052,0.5505214053731028,0.533428957166494,0.6531128120125219,0.7790931545682599,0.6376536507281885,0.6349161127534044,0.8358246917900313,0.7776624538343337,0.7130904546725149,0.7864535371545596,0.7512236432004132,0.7644357501667836,0.7738809688250231,0.7698486128876147,0.9204520719007568,1.0995521654738356,0.8146385334365247,0.7772021799140877,0.7618967107729676,0.6895413549492704,0.7408130747561609,0.7618208944326491,0.9419436658875381,0.8904737517025881,1.0830893731545004,1.1064251370121052,0.9454484601048345,0.864323061228622,0.8088202715035123,0.733084197974746,0.6702682340647061,0.6374652798674925,0.6776874445690078,0.7711910635204444,0.7409050990171024,0.7801678556145444,1.0759250528656727,1.4399334814780131,1.511367555100228,0.911172303180524,0.8136293854215421,0.8923055298943979,0.820484360016526,0.7695288682998154,0.7540961862092106,0.7184430959874584,1.051653692445007,0.822040691865381,0.8591878986294934,0.8753654586574295,1.012553231482295,1.1340417614868892,0.9177728070043023,0.9934317811925999,1.0461160219654393,1.136540646403607,0.9275221166047039,0.8958871156233996,1.0943129285723827,0.8955928297084444,0.9697458849770129,0.9049079424691523,1.0300777123303477,1.5011203243095876,1.0476928294042192,1.1367048276466725,1.0458522316491177,1.2772820232579156,1.017025314261378,1.0829563710372752,1.0228271803524331,0.9763786583057859,0.9576084243054648,0.8264093315710377,0.9736964808361667,0.6345413778618803,0.5930920574159523,0.6728776776812273,0.7972618007623733,0.8720174066739508,0.9045200626903935,1.076035891425841,1.063854323638351,1.1752004508239773,1.175014739861657,1.2020279744613276,1.0692633710424995,1.2154788818598368,1.0766280976161837,1.0197033823323913,0.8872329444278801,1.0248244315170734,0.8341969218547143,0.8137339557745334,0.7213873008578917,0.6812904773764529,0.7453967801815706,0.6433137448892534,0.8876449543682559,0.7070026849620492,0.7618548995514542,0.8762170990924151,0.7037203611199709,0.5071064592131601,0.5058736333859833,0.4835229379906241,0.5313030684064864,0.5240223150436735,0.6113456853875098,0.5602443832181846,0.9389875328562715,0.811255016896106,0.7509025278439375,0.6256181824476332,0.5281682742363139,0.47282108713309906,0.47977501530861016,0.5604058374062852,0.5694381800391178,0.5241149351566707,0.5850253694341325,0.616472351692945,0.6142355862372673,0.7096987090251505,0.5788979631930233,0.655474943606798,0.5497707832053684,0.5265237311818742,0.7329491230683983,0.5350551074205744,0.49195278150443733,0.48296681766868976,0.5065060868790676,0.5799294938457741,0.6270846342781619,0.5629968521662476,0.5836112863677136,0.6284052481883239,0.5506236725481436,0.5759870509324758,0.5297714410185648,0.5811967483946266,0.6191942410273554,0.681367170006285,0.9686164796402328,1.5516324320931039,1.1037524955778721,0.8278182887900858,0.7038744916745913,0.6771238609482768,0.6471667203383041,0.5888275845081211,0.5240068403506003,0.5785594535328501,0.5178022111757642,0.5247950671656396,0.5563765969052108,0.6193945212491928,0.5316300710173627,0.5817547498246447,0.6595331393775645,0.5761411941730454,0.5264048211649216,0.4974311706394691,0.5211295117961883,0.5080609500132207,0.5284224235595848,0.6107523038274628,0.6634408019974274,0.9237695756692896,0.600412130044268,0.6658191369198999,0.5028182588542326,0.5194781571969801,0.5196882555567609,0.539887764054149,0.5199424420545048,0.5302447015322576,0.5906752264909425,0.6790120632796427,0.9052543393213323,0.5935933788873543,0.6938083716578857,0.7029128118766473,0.6237008411731839,0.6155665342766469,0.6031407252888094,0.6498777404037982,0.6647960956122105,0.6778297485907634,0.7504013909795354,0.7609797024349556,0.8925873565434366,0.9157312331676127,0.7923579876049541,0.9225400262779274,1.086087335449868,1.0298384742845825,0.9060134247437851,1.1210713539016535,1.2398593372786393,1.1034330148302318,1.215639765872601,1.385948438975152,1.2998281202628468,1.2575902043949514,1.458902988373823,1.3817128510722854,1.6306282217991388,1.4143545896947516,1.3566336646079995,1.4707580401604625,1.4485439645522395,1.5672032813803918,1.8632569814795734,2.045195535849972,1.7212690690462926,1.439375880762481,1.275381516336603,1.3512991435299864,1.1305473853484314,1.1624201739007516,1.1936619775928108,1.1969393708382925,1.4107370534129469,1.0891616351258382,0.9921565545166803,1.1753765251069972,1.1340330514223942,0.9764330832760676,0.8845122670461986,0.8580014646536024,1.0181057083298315,1.1090986941598564,1.1625092529969625,1.3530914409114951,1.214758804841619,1.1237299243143828,1.2591935920415096,1.4320827078673202,1.1461184124228807,1.2201941204244724,1.3540385995507906,1.3595881166342267,1.2740896790176766,1.4601507755938528,1.5518667873350327,1.4638161262534957,1.5451264686358752,1.676723591103753,1.5230937037573424,1.4770654436634476,1.3603556051590466,1.3930607223818436,1.436950639371551,1.3030445355363824,1.3344350820756272,1.3813911461014596,1.3952766879800713,1.1760411167255354,1.2863623521459846,1.5044797975361315,1.2210838138319855,1.1488309851642922,1.2956992942506738,1.3501509078930178,1.2021040345983505,1.1564828287716995,1.360197940551384,1.3506122988396339,1.72621130579459,1.2230603478717188,1.1008762779381933,1.0328870035045787,1.1412276456442476,1.049698789115237,1.0670528139147626,1.0016837283116622,0.9466605148376999,0.7164886705193955,0.7078466136339789,0.6530539127251203,0.6384834159199253,1.0402694812900322,1.5104614084338184,1.3407141609865911,1.0136173949678133,1.4686584493119121,1.5979375455682023,1.0045798416007088,1.0276937961625,1.8276984071091456,1.5087121750423487,2.8157469056000495,4.3524392667975595,3.9326029571061376],[0.7054541983256053,0.6654125690266864,0.7146201066401935,0.571769392614464,0.6382958573712975,0.6181374641933515,0.5360154354616781,0.5532384212885111,0.5639058399307494,0.6021404143353934,0.7163998085891261,0.7919557310646212,0.7005150602608465,0.7574744632597384,0.948602614102552,0.8817148091616045,0.8496247792647631,0.9441820461401846,0.9415296056750645,0.9233381334659387,0.9717516829565445,0.9554794786164077,1.1429468556931857,1.270633923237645,0.9984958641652216,0.9693886913150952,0.9241933652139975,0.8579675403769197,0.8747025489606185,0.8541321943004954,1.066453399070669,0.9680135031960052,1.1303330131821132,1.1845905247629624,1.0384225249134953,0.9804219650925461,0.8939160840020981,0.8683314246047869,0.8049938962284905,0.7630248805106113,0.8335935597521037,0.9414839220403305,0.9131299680852902,0.9468230666832316,1.2234038194988406,1.5534588061428438,1.6020298847197276,1.056086279646634,0.9480167048016455,1.004354005289248,0.9606889923205258,0.9177157047174521,0.8959323784934771,0.8417929190082418,1.1326256842220215,0.9724533294229526,1.005173162605396,1.0066174273342214,1.1477181414082258,1.2903156618372977,1.0991433375575383,1.1515817459200235,1.2026327035566517,1.3524965855732165,1.1412632106499443,1.0633833976742189,1.2873093865907845,1.0683801375282445,1.141869091410498,1.093391533083181,1.1960105557261396,1.6535084976632952,1.2406451301489925,1.335950206793063,1.2259583519205657,1.4131600094328078,1.1843728742526383,1.223889478465058,1.155404319270269,1.1111859406405669,1.0431756209828837,0.9077254372640619,1.0002127365887727,0.6925728676745824,0.6776343126223838,0.7558213504048591,0.9217577918041039,0.9465659286793948,1.0300779395844213,1.1751853177653682,1.1911392355643216,1.3250870484452102,1.3107958067960972,1.3000729410892884,1.1608792773739818,1.2988565649206465,1.1601443287656354,1.0481884683101634,0.9138634046193002,0.9620383949155578,0.8453911515085376,0.8317595835738762,0.75534300249653,0.6849839628832822,0.755249868132056,0.6831695703270105,0.9153511080199229,0.7688364368665047,0.8156136281553901,0.9339545366503419,0.7535671194559581,0.5521204589588388,0.5535685238296446,0.5607683531064309,0.6477853186842532,0.6611953355467431,0.7689220627607962,0.758015800053238,1.1104095320970848,0.9830748169626999,0.9457207553497354,0.776819099853905,0.709078178804748,0.6133375730668115,0.5811890921869981,0.6194931593632474,0.5963695891438049,0.5558968945656357,0.6122977694914032,0.6476337213444313,0.655327536234285,0.7514983892373575,0.6173311170820367,0.6890025796705487,0.5810231998252591,0.5703683254580332,0.7738917896891561,0.6217349271401866,0.6271826237687458,0.6289221415749074,0.6752225712768403,0.747943984860654,0.8053952349453838,0.724302047324879,0.7420913361740319,0.757520544523642,0.6753680607241886,0.6640601446613321,0.5914018302620208,0.6279358214611167,0.6214604334186797,0.6723834204883835,0.9200680981715104,1.48317863194095,1.0370693586683026,0.8043399982440396,0.7202087676210278,0.6801495929678523,0.6856464460920111,0.6223789158585761,0.5790928446902025,0.672258070329594,0.6362479255922068,0.6466708425312233,0.6565490675300507,0.7108658222113621,0.6213342421982128,0.6699195888079997,0.7060587154878829,0.6642028987347887,0.5979943105357772,0.5844513391182404,0.5968548489254273,0.5754088232241062,0.5879327439975655,0.6423982377948754,0.6923723559711034,0.8938318588908722,0.6453434359317342,0.695043985680465,0.5867253984444561,0.5611163022390245,0.5674574133493925,0.6005151118995895,0.5878997962219272,0.633855632970326,0.7193575361678418,0.7981902935299751,1.0009666777622126,0.6831946174976895,0.7408966445316494,0.7411566562710599,0.6412872713229293,0.6295054850406495,0.6327584082318637,0.6958015790131359,0.704408091833833,0.7417529987520985,0.8040925086432009,0.8188087496120179,0.9735347543710011,0.9939889877753614,0.8506187130437991,0.9902546660125503,1.1832456451240145,1.1044226961597472,0.9598831016754364,1.20384995375522,1.3573425827089447,1.1778443400125338,1.3004151530036736,1.4986594897013719,1.3840966616287793,1.3243166855044413,1.5551892727424546,1.4595639443713988,1.7357728371014673,1.5093855019392242,1.4438958847284091,1.5941280528831667,1.5838059946755858,1.626334557557655,2.080394999302848,2.2218018025181108,1.8277262708779465,1.555309848796816,1.3383599135703073,1.4337878621918305,1.2664723561235054,1.2952612521282663,1.3157883035273366,1.3248547877889076,1.5193572240620963,1.1778349898727825,1.0673564991123614,1.2364242244910644,1.182303708916983,1.0302332073590916,0.9609232523710534,0.9625398451097397,1.1009173664357836,1.2203717889960466,1.2652384305088697,1.5426188957658675,1.3321674532083903,1.2180538634024536,1.395668683224907,1.565695330570474,1.266813451019048,1.3372052980941662,1.5025334342034369,1.4947234060373373,1.4029906979934708,1.621146143375656,1.7255318996643096,1.6065058887207901,1.6939916233172405,1.8561743767480756,1.690931111170986,1.6465355379858606,1.5034305393670522,1.5409732695996488,1.5988368152743049,1.423713893742267,1.4718976186512969,1.50843816222764,1.5020216388921392,1.2741734743705166,1.4128665455751137,1.6102508247760912,1.3014466838658627,1.2292211836808205,1.3965836265487133,1.422970109007273,1.267497331288094,1.225109459782985,1.4267843192696579,1.3961263305796714,1.8070861771759452,1.2658386470433023,1.15912354985857,1.0807801461473703,1.1571203756608945,1.0828686171043478,1.096363144140837,1.052593556881817,0.9931821614491989,0.7490676590005895,0.7520721093334158,0.6805207105644593,0.6664765502258824,1.119231131498995,1.6100600390274862,1.412878954479409,1.0667043065033648,1.5582920366843014,1.6892350105577985,1.0491405014666444,1.074490193395859,1.8885875309530946,1.5886333477409904,2.756607447794747,4.320528104185045,3.936630960964139],[0.9662975252647243,0.951942778148604,1.024991688320186,0.8272377922330176,0.8909922131139516,0.9535167839499742,0.7925808331618087,0.8260297050516944,0.7003400963685368,0.6376792133227732,0.6577539388933681,0.7602243185462562,0.6907872737720155,0.6475671296511443,0.8136995928111177,0.7796314977778521,0.7366930170146344,0.803139156608193,0.7717258552515188,0.7705099974446825,0.8169401840203548,0.818071182821562,0.9170233358698842,1.140826223106625,0.8667535358641199,0.8502788851390738,0.8007101535543177,0.7465515562061669,0.756172875967354,0.7812087220340153,0.9114795708951392,0.8790146998047069,1.0100088655027222,1.0361879776099152,0.9362674137366258,0.8426053843529515,0.833050370077711,0.7697250127611679,0.7544832227018109,0.7591128800373005,0.7907383659208713,0.8420873286256136,0.8139031549732214,0.8738014350547941,1.1094496681790114,1.4514617617740249,1.4787899130499325,1.0490288342715286,0.9290164090806202,0.9868785176972118,0.9530330759654602,0.8872949378515742,0.8223379337629252,0.8139692110713316,1.1414247849306274,0.8470856721886912,0.8802184272338911,0.8839332742593115,0.9537940024621735,1.0105743110767955,0.8611277958272585,0.9336091779735814,0.9788964674280481,1.1289992660016823,0.9036402051351627,0.8921890941283117,1.0527742020332103,0.8943845423387646,0.9922565007265967,0.8807994129529348,1.0800035089499243,1.5809820390347313,1.0558720627134086,1.1413179529214537,0.9733418264697953,1.234100030829491,0.9492679818938488,1.0112704348424215,0.9483522673518963,0.9193938062857346,0.9286308771124955,0.8741896057953815,1.0603594628103965,0.8065437093296577,0.7652510031436777,0.7488817112152055,0.8160575185291402,0.9474034639031349,0.8693045763186892,1.067544972871719,0.9817889759124907,1.1155627054702728,1.1160665772782672,1.1081138218171425,0.9948569349779556,1.1049485015009142,1.0546345497388732,0.9598107676594727,0.8785071093107305,1.0357006134561721,0.8908544332383138,1.0104371359696984,0.8974517075001077,0.9636680469229829,1.070521028580122,1.046338918315226,1.3390471021410812,1.188958963097863,1.2088038163514154,1.29426122441434,1.1148786070411818,0.8804543796364244,0.7695980926905815,0.7193820286376499,0.6821037918336055,0.6649306648293554,0.6980851084832737,0.6339973460011948,0.8987806238326401,0.8238355905447945,0.737718899871228,0.6670323516908016,0.6485134190088255,0.637837034672289,0.6730583298957772,0.7762140096408814,0.9121378288140982,0.877234557875074,0.9480839788187375,1.0019644144333835,0.9951143735737467,1.1139886419850773,0.9637412005918136,1.0782211801568062,0.8695309383376976,0.8263192758924804,0.9402341496647856,0.7626924110263532,0.6650254029080807,0.6463433861407765,0.663493293161313,0.6971003840519339,0.6890231113606344,0.6477881589692062,0.6687790712225635,0.7442794323166676,0.6811950660092982,0.7472025755535455,0.7485275212651642,0.7718813949050075,0.9013375312277261,0.8749367060212263,1.1604274074799112,1.555511403510175,1.1450977539805869,1.0076670837116235,0.86367033670087,0.9292956700909824,0.8384265250074214,0.8648193696299368,0.7661134568926455,0.7296726442524352,0.6796729882852441,0.6789759160841364,0.7282629866557159,0.7448153583740589,0.7668634927012359,0.8022180034782068,0.9077458687078414,0.8041398694757238,0.8004972039593894,0.7324406498635675,0.7651251434894534,0.8003449534509101,0.7724234942453804,0.8449510221839792,0.8345960163867118,1.0811860078097144,0.8239255757110023,0.8831188657953343,0.8172718284205986,0.9096968420107774,0.9202476128350607,0.9061971289841521,0.8345585238549554,0.8036393048442754,0.7604281746128075,0.8318446452134387,1.0486622457426162,0.8592173479744661,0.9185799638428721,0.8510190471991562,0.8630253648826698,0.9044921144394658,0.961975643573074,1.0443595103897927,1.0213441097471592,1.1132125396444603,1.1599795953337528,1.1856128914141928,1.3836213195823206,1.392932200227473,1.2477303117015002,1.371035557957374,1.561997809837173,1.4635417583945844,1.2993110600642475,1.5551820045259097,1.7043269137821644,1.5135086026365274,1.6205929123497018,1.7876126181574206,1.6508384414842088,1.6257317546891095,1.8348402800125632,1.7660281290294242,1.9759029599946218,1.8184604989238506,1.767616633126301,1.9129311115505687,1.9188503739954592,1.7777417546455279,2.393639365583335,2.4370070520296467,2.1258732873495774,1.8925099656017113,1.657804532474748,1.7860848669194083,1.6361467429593124,1.736278534608924,1.746079530121884,1.7470103661352225,1.9394865202129767,1.6122728167419782,1.5537047557519854,1.6182441266096974,1.4684995965533065,1.2679768946795813,1.3395833985395564,1.3581464406701478,1.4748997037019735,1.6334232360352665,1.6721980540815957,1.940605574846489,1.7630783727448376,1.6137114179887335,1.784566198543988,1.9114275812055737,1.686596833035731,1.7349814668230745,1.8768622221172822,1.8591967110196097,1.7555223531414381,1.9636682518664283,2.05365601138829,1.9232721234055665,1.991921140520266,2.1410099679556733,2.010420782569492,1.991085907581779,1.8746326751719367,1.9023473310786758,1.95114072184876,1.7734585839492545,1.8524778809379887,1.8614655799910433,1.8397307223283947,1.6409780743034217,1.802599278150837,1.9381652530765572,1.6433666661695792,1.5480526210212873,1.7527819778542224,1.7499487423112907,1.6285885075728672,1.5794827264673243,1.7308600841262967,1.6722007174521727,2.0009671841712664,1.5540133003328347,1.4927287470150348,1.3930259913671725,1.4138735928874644,1.3599492292152624,1.3739481964974876,1.3879032662592055,1.3056615780183645,1.0453748209814544,1.104585791762941,1.007346177158827,1.0193418797332257,1.4905869382164079,1.9564199635398813,1.7304923071737306,1.382743545610563,1.8553433911134536,1.919467646423571,1.2903814094399746,1.3470716075584155,2.0028343267689044,1.7239738092124774,2.5957275301767844,4.146236846272847,3.7597308782007324],[0.7508762449322101,0.7620477891402793,0.8826504984884905,0.6512370506514039,0.7283951994645144,0.8092857797336994,0.6186129794308983,0.5989596894269793,0.4976804537358655,0.44629713700120405,0.48633849418998476,0.5881602177122394,0.50196615102515,0.48654530502988874,0.720617737501447,0.6316542402973939,0.5963842436895642,0.6661427404360465,0.6447893206597951,0.6377817426601285,0.6757021746162466,0.6650691922578935,0.796481677927647,0.9923626365225832,0.741206246452676,0.7115040762171375,0.667275575059662,0.5989513789633507,0.6198201547597149,0.637715701868918,0.7696240675555649,0.727179085984991,0.8815964629184667,0.9229360559770752,0.7940991675707787,0.7045726539487589,0.6803505233993322,0.6062341570578819,0.5849214530373835,0.5821569283867822,0.619476535229264,0.6809578290537298,0.6510215752720497,0.7125878087340232,0.9804357369324346,1.3837373379115216,1.3919240766790788,0.8879512093265995,0.7784727645337103,0.8445808646183968,0.809343436193572,0.725866578357579,0.687862473212153,0.6469768112731858,1.0355074606326005,0.707209549489598,0.7003803261375948,0.78329187467237,0.9066435533581749,0.8998260708125777,0.7608170026886115,0.8183563732940368,0.8638608394231186,0.9937864005555406,0.7733647560802887,0.7570228623275531,0.9628617380911182,0.7880375506996276,0.8591697846823442,0.7692847295897101,0.9974236962900618,1.498313307948086,0.9677907517610032,1.044197963550809,0.8709675611567599,1.1902874781291455,0.8517921017226471,0.923508300296466,0.8440527139847399,0.8061181904679843,0.8291935488784677,0.7531118809272552,0.9361746251717094,0.6182716515200601,0.5776624538176481,0.5971879410720188,0.6710069088887827,0.8105033541514899,0.7370654227327917,0.9512431159511582,0.884076796068745,1.007066766024908,1.009619522483254,1.0046771142810833,0.8705254516123883,1.0143623600814562,0.9201937981873405,0.819675466418018,0.7207029067222017,0.903137162454503,0.7218929686781974,0.8127187957223835,0.6874666677130522,0.7423717376684787,0.8587793545289396,0.8586143412016752,1.1427040883757713,0.9828946440876694,0.9901222667541206,1.1272438739428483,0.9332702748734575,0.681045028078892,0.578360575984379,0.5460143325388053,0.5086580430176336,0.48809479122541516,0.5469510529327007,0.4733466576697421,0.7812694762459456,0.6794682458164155,0.5955712827905224,0.5068236078305883,0.4919971885538254,0.4716472888595185,0.5214658409371398,0.6453369057793692,0.7568339517827702,0.6990706028873891,0.7633763220557362,0.81269593821255,0.829976904912015,0.960069066857494,0.785465503533091,0.9042175885286228,0.6799153006718701,0.6269005288993953,0.8283258000393884,0.5971245701770052,0.5193939262719064,0.4651138948903335,0.5382226463791291,0.5981247728079212,0.5924129940691941,0.49691700152494245,0.5082013688685219,0.5604262137729777,0.4977906409333471,0.5675191345685977,0.5329489614096848,0.572993882453937,0.6521364850276671,0.6230208685500984,0.9343467065876577,1.4602417463337691,0.9645754888034452,0.7778770667723952,0.6426090081337578,0.6878467830293198,0.6268232555090929,0.6345556397196853,0.5597922506013154,0.5552018955269185,0.5061415455209237,0.5110518533760632,0.5575428267222484,0.5663395668428081,0.6025392714788109,0.641039710110216,0.7537497907222441,0.6662952642608369,0.6424005277634667,0.5266729122821088,0.5757353377573764,0.5862119245728677,0.5567197660677277,0.6498542369967034,0.6232702046589865,0.8812512994299081,0.6027649557237924,0.7077154764234163,0.6090634844544738,0.6868646017889167,0.7151437096775395,0.7096692753729646,0.6165854906291003,0.6096713300489526,0.6105501867936656,0.6895445231513896,0.9226772728519597,0.6751302946401304,0.7377691815307637,0.7013657801178785,0.6923206723694199,0.7299983494007889,0.7872755366277483,0.8584104336690148,0.8612633175137717,0.9528079515398984,0.9926522157222035,1.0245107632127923,1.1979781000271008,1.209651797698203,1.0534355895904175,1.2034829413937531,1.4029116704973248,1.303765497534407,1.1490915307811451,1.3983326309022228,1.5462528934670863,1.3656702803987053,1.4857611549866823,1.6742460897366045,1.5482326574839467,1.5203392783735155,1.7322966593225104,1.632817770562178,1.8840226897420465,1.6419280770194837,1.6206395037901775,1.7554962058024315,1.7560912652550589,1.7210503961475592,2.1865458637684867,2.3332245423420965,2.0343469286840983,1.7524746293137903,1.5091994947217626,1.6233823781275918,1.4492132064062992,1.5525859172496905,1.5536192418550396,1.5697061233455973,1.7573852246396457,1.4403817759808404,1.3658849007760703,1.4379544211166806,1.3486813031726412,1.105659821387556,1.1762664530053284,1.182227688472934,1.3215396903594872,1.4634665946801324,1.4863707487858844,1.7465888168782147,1.5445968251515478,1.42821524274779,1.6027181903784438,1.7560898068462352,1.478654265164247,1.549631108993861,1.7015563732135657,1.6873076433098342,1.5935202976795901,1.8082355276777562,1.9021180170226575,1.7781018624403462,1.8590500885642987,2.0016095372693936,1.8587935569169163,1.8303907092355998,1.717933088088348,1.7406766297940575,1.7732962266046461,1.6260881986905176,1.697772289130427,1.7047636109428783,1.6962668861240109,1.4814960282352665,1.6363638841512826,1.7735546520647694,1.481507945000302,1.4084496035719212,1.5984085992446426,1.6180443415126593,1.4565347958079724,1.4091868274417079,1.5347271574466739,1.5038614837313757,1.8747096944698602,1.41730589366245,1.3425694767057175,1.263844227537666,1.327488534723048,1.253320161213505,1.2688803035415503,1.249985375556775,1.1607290206023344,0.8650349557402449,0.9325251343724349,0.8211766951668877,0.8176382680973245,1.3375374715849677,1.8413704881845285,1.6155571351554923,1.244865247086096,1.7792812415773507,1.8719322994527297,1.1721626800633578,1.260374351510199,1.9940875892525254,1.7288492446143722,2.7055191244599444,4.349110396277225,3.948409953944314],[0.6666920480862842,0.7085353133849419,0.8650599115214159,0.7040864999271986,0.7582761198812624,0.8739637902731414,0.6775558370102489,0.6190110314258184,0.5721833855862359,0.556018049986093,0.5518544332112448,0.5611228227238437,0.5547197599269789,0.5804216992455571,0.6935964780678563,0.6331085297565471,0.6154679093166762,0.6848754771652465,0.7162074739463559,0.6586096247559342,0.710902921729883,0.6942914297969471,0.8923524688885542,1.0928834064606787,0.7243970491448746,0.7414767866021662,0.6935018153760127,0.6369435701121878,0.6379207886371108,0.6111832043437639,0.7466576660132898,0.6950802994069456,0.8806671163983604,0.9005525771483679,0.7748633566954196,0.6818196109929658,0.6283157484293982,0.61019438959002,0.5877439197255808,0.5806817608337304,0.6526697906223049,0.7307202746588604,0.7057790438070373,0.759325441446717,1.0003849035935124,1.3682584844845704,1.3960397872838524,0.9444690824613029,0.8140503013629089,0.8890809276071477,0.8159284974667931,0.7611898099863088,0.6869715493851153,0.6595638908405508,0.9846416384075027,0.7082982258620828,0.7778210705498336,0.7481963488832221,0.8753527970850835,0.8785770975667434,0.781045339656612,0.8398760295065899,0.8570799353599906,0.9658557475857631,0.795759815784064,0.7577124706227967,0.9560579742622204,0.8122094685018016,0.9202018676589021,0.7904757395265607,1.071981735187804,1.6303168123093885,0.9710655056961871,1.0265534717143272,0.8549290326133012,1.1856622138548754,0.8564855747105564,0.9132993866757785,0.8390745824252678,0.7809583599987421,0.7897775967201609,0.753022100499227,0.9755604369974373,0.6088939976132896,0.5805878863896211,0.598060165306793,0.6805042604936544,0.8007591922060213,0.7191785726269527,0.9104448694625428,0.8531249453809706,0.9890401580043608,0.9845481861473566,0.9760198924602486,0.8345709545310604,0.9563371026495354,0.9045073363171813,0.7728567302990743,0.6630938987015319,0.8077356143856143,0.6450426735941076,0.7631008405193631,0.6291376500325575,0.6718804813886434,0.7748548962076284,0.7915867892817419,1.090154228965578,0.9232500615949731,0.9429939383101107,1.1111374964313006,0.8844848971432601,0.6684430812600715,0.6154102732678404,0.5948186320495463,0.5652725728994099,0.596608188145283,0.6445742884758512,0.6583585387852423,0.9479798236460335,0.7646287114002075,0.7654301340612528,0.6719607393033604,0.6898263782040868,0.6296320469701612,0.6478916991501702,0.7273671750144529,0.7930086141542898,0.7223021576859135,0.7414125380440704,0.7793334410364454,0.7959870721414292,0.9019946962614445,0.7471861985895814,0.874939600133538,0.6668974869221375,0.6439540470495647,0.8259854360445754,0.7082147348568489,0.6528927626361056,0.5823516924439457,0.7199640908336528,0.7277851540825777,0.7101554882465826,0.6421649069532107,0.5863525009140826,0.6068234173439288,0.5581419313157259,0.5682062544906101,0.5456746151227742,0.5943354885111782,0.6135716280172944,0.5789922968321758,0.9027819383060188,1.4997105431838234,0.9026007475388522,0.7070850920519505,0.5845899257675001,0.6273744125454392,0.5839440879564034,0.628475553315135,0.5596459555772318,0.5570962401097769,0.5619754244031635,0.5262671508847914,0.6107582697070548,0.6359717859342654,0.6391376965319759,0.7117901373866213,0.8345846505944589,0.7621225181397611,0.7084620184801875,0.6244981797018035,0.6038637523633265,0.5956791811344039,0.5374171716164848,0.6256792624932969,0.6317384806690374,0.8941231398875943,0.6167476876994127,0.665119971863844,0.5983848672516233,0.6418120471393158,0.6609321551726928,0.6448031855259276,0.5901037870489904,0.5936892928124441,0.5888798752798448,0.6677600248238175,0.9265877492067236,0.733821061948281,0.7952038376993891,0.6996852615017871,0.7169047712147694,0.7211921897171304,0.7464321598083379,0.8147413582760847,0.8287056596923484,0.8934858958297474,0.930726041106604,0.9439196975936878,1.1187763049021393,1.1336429017820202,0.9891438875482298,1.1282357805328893,1.3198553431049,1.2423528162293194,1.085231272765843,1.3102916306419425,1.4640134080168903,1.301309775163409,1.4071234709159648,1.5805371141270574,1.489236618151178,1.484119583913722,1.6489065112732733,1.5497809671655858,1.7708320484753421,1.5423023543571415,1.5183345518839613,1.643456439032577,1.6376859166798121,1.6606422405753265,2.023407127776618,2.235797161695149,1.9496414664085673,1.6602131905909112,1.45228063416896,1.5794312567008275,1.336897944662591,1.4554400446160431,1.4682139458033532,1.4840224766026344,1.669590336340186,1.3457993010652551,1.3186067091111542,1.301176766526546,1.2196279675996697,0.9770705056242374,1.0811999282516425,1.1109856469116535,1.2739288459375504,1.3945632017738723,1.42425862596108,1.6603581181704503,1.4894350332097204,1.366085705877382,1.5414416668910749,1.7002436212093175,1.4286963665162768,1.4802892490133464,1.6295727240032878,1.618704373654784,1.5229649367411688,1.7248741829068215,1.8282642662856758,1.7029663487984787,1.7778575387419528,1.9137268856958605,1.7665324754919705,1.734595190213016,1.6357838721643703,1.6459259683483651,1.669507511252604,1.530787905919744,1.609957185607092,1.5992224771345998,1.601265415779137,1.388901284310353,1.5271571561258237,1.6666057019732157,1.3902853931473278,1.302863395038924,1.482768619053272,1.497353308687033,1.3598762770180062,1.3038263967287613,1.4539045366052792,1.4356288620710593,1.7865829692730424,1.351185323111526,1.2586642134695638,1.2076871074641626,1.2755663947564235,1.1911505434415308,1.2020743487535015,1.2177125402195608,1.0991300857835424,0.8689809741308538,0.8879121630551504,0.8078830648752392,0.7848704054129715,1.3057367845933296,1.8421955954267828,1.6652322083646451,1.2335909985896754,1.7889391450952437,1.9666651026711022,1.2158868251436723,1.2798429909088005,2.0811432427970336,1.8996312739888161,2.9785920746945256,4.679846912395065,4.356559656820651],[0.5528824506060717,0.5178089587561316,0.6649520773845877,0.49340180769244346,0.5302184828031827,0.6837758700869226,0.5035849793957488,0.5142930037741177,0.44514921943266295,0.45438027091833777,0.4918230011536139,0.5419373643162362,0.5126653535392073,0.5149736072033018,0.6831771954055332,0.625744686490837,0.598228499387033,0.6854846025440652,0.7154311681203546,0.678530276116888,0.7345202613368723,0.72496440375058,0.916549231081952,1.081473594855525,0.7291817016075401,0.7251438209737783,0.7125916760435762,0.6300279415248874,0.6405024144432495,0.6203790822463676,0.7743729399365423,0.7026478304904348,0.9029692903887686,0.9198503960588845,0.7938831542614481,0.7108921407693586,0.6440049037778482,0.6380171492707143,0.5874571382645484,0.5830263670664455,0.6202617591534555,0.7118488253977667,0.7124599771191692,0.7195143699538715,0.9867837905096283,1.3867925032002217,1.3977455535532857,0.8682276829873491,0.7802336779852103,0.8504244082583012,0.7756626136848929,0.7183124529233486,0.6970809161931909,0.6411987844085434,1.0061027923345618,0.7485666799010441,0.8231832059988732,0.7731302398326441,0.8885377764225605,0.9494041550423344,0.835227218978895,0.8900565120076573,0.9211761365985427,1.029273270021798,0.8545605372364152,0.8105430647765808,1.0197648215870552,0.843358311649534,0.9497783119394642,0.82488510416903,1.1044075343367208,1.6636729021345122,1.0021924670428544,1.0790767868281557,0.9127347054158342,1.199787669265905,0.9055913663991716,0.9534439738301383,0.8797700604264334,0.8381893983355486,0.8181305786085006,0.7607274820492204,0.9909799421635453,0.6026950542495438,0.5502615387813109,0.5927528603954693,0.7012061185435121,0.805384602254664,0.7672352752886262,0.9398634722931414,0.8976937237364206,1.0139655984773286,1.0139479042025006,1.0044724023271006,0.8597465572695792,0.9812291213996311,0.9142399801618558,0.7768453726247677,0.6507433086710073,0.8281689750854839,0.6290341450599043,0.7232636927857302,0.5925986009116377,0.6353121501515183,0.754339391322691,0.6598645546956896,0.9275300219529079,0.7403823762946244,0.7731400057469477,0.9697617800412178,0.7108503579380169,0.513255630011844,0.46485203929492963,0.467943086301618,0.48462629483879965,0.5143674317519136,0.6042587808067019,0.5885630639679166,0.9411319908051881,0.7822782547619664,0.724761124297362,0.6086269193639227,0.5754284744818303,0.5061389023247316,0.4797551452424481,0.5232310634938365,0.5990656878450237,0.5445482153292899,0.5615046688169255,0.6070235057718075,0.6063593816532363,0.698754470688182,0.5640235468138117,0.7144166304945602,0.5133765173738627,0.4960204333406818,0.6796974404607484,0.548897657357945,0.5452976346624139,0.5010165493105421,0.5917394208835746,0.6228779806863946,0.6346513428107756,0.5734094318753855,0.5551204893445586,0.5747886675917605,0.506173473017297,0.5203673967780804,0.4594159858991543,0.48888400431264234,0.5243542492627589,0.528332093697247,0.9232397667388224,1.559293998250201,0.9608254782821258,0.7003686893016942,0.5440576436492569,0.590028985478708,0.5569274947881547,0.5790095296543938,0.48252231814453295,0.5231009940233476,0.48712738711157416,0.4834198259996041,0.5551263438671613,0.5575808446079579,0.5240001758112331,0.5803257027097383,0.665372930160709,0.6150804107191785,0.5548550503985512,0.49439240191359934,0.4961171734062815,0.5101159831013286,0.4834892396761647,0.586472321231841,0.6084978980842075,0.8803050312658882,0.5958520803163372,0.622619092746865,0.5053212968984362,0.5257378381073117,0.5305726588079331,0.5261665613860077,0.4961900686463126,0.5386583949045318,0.5468747119677024,0.6630443256471472,0.8986897699559727,0.6739283602543138,0.749808340421133,0.702249256150542,0.6417870813082381,0.5908397852596501,0.5892093903053762,0.6486900862791001,0.6539603566403311,0.6900099435495296,0.7306783093077879,0.7470746590677355,0.9224600490910462,0.9616939991895521,0.805441597510071,0.9264879641995405,1.1314968932416254,1.066896461623552,0.9004532176398945,1.106593578169752,1.2959992566950742,1.1244580116872795,1.2184487962944304,1.3970091068691854,1.3427088446599091,1.3284731085696715,1.459388968690934,1.3453340069108717,1.588900817660827,1.3181963755566644,1.3015437928098685,1.4444753606419292,1.4297213859538374,1.5379026546785892,1.7764189289452796,2.085168091980361,1.7811820650408203,1.4806107551356227,1.2988158630287978,1.4293257462634354,1.1412839934441517,1.216984439073033,1.265600015147274,1.2646342340035228,1.4192704509217744,1.1175593382785327,1.1131528149912444,1.0359553636955066,1.008036001429203,0.891384979957071,0.8799323749559083,0.9155462916064662,1.0815899388072483,1.2160649713602196,1.2663998077390437,1.5227696081525313,1.371054551649156,1.198075914881913,1.3778434349518887,1.5766993987193576,1.2877737961827873,1.3299487606187814,1.5100022133718862,1.507164660260784,1.3857935165244581,1.579056797421697,1.7040685241305789,1.584451269317119,1.6216253177641915,1.746789007153201,1.5866750715170919,1.5580029694838968,1.4582005826906579,1.4712593266641587,1.4872320756161643,1.3351638876739673,1.4175406499489642,1.387651530812399,1.393726271053233,1.1692406794365426,1.2903079759023741,1.4165907902964294,1.1645416578413899,1.0741849237117935,1.2444961268484378,1.228442285364714,1.1303170464658432,1.0706543821858518,1.2039587976442903,1.1877696927306434,1.5666687890717983,1.120621502842013,1.037029694519469,0.9818876395771413,1.0520797317742154,0.942832918058982,0.9520085035095802,0.9983113549651416,0.8915340812347061,0.6556431483546118,0.6935368711750598,0.620446417093912,0.6071762882697015,1.131891170612131,1.7093627450689883,1.5840559316740639,1.084219450245414,1.6464874897053665,1.9246013146190204,1.146881155598145,1.1337866146832518,2.0023823274731556,1.9616680243563467,3.155296869912535,4.883129049284174,4.596703844149416],[0.647754291749095,0.5912301100481618,0.7533443461501903,0.5037214991064314,0.5870850964377661,0.7063229954856927,0.5266084178785947,0.5852254984739977,0.5570238363722666,0.574958357972576,0.6745031062150009,0.7832145275572626,0.7245084543875308,0.7010116884909212,1.001887312808938,0.948304933067543,0.8419658888519111,0.9722700328739348,0.9594916182973813,0.9657603922689094,1.0011800978671213,1.001223578411908,1.1315776671882836,1.1638096549551857,0.926985384105491,0.9058302536737741,0.9282573271478222,0.8485251845089307,0.9231407965269228,0.9498493083357686,1.127750192077955,1.0770795288713733,1.2748147267246313,1.3447730801338718,1.184668633117011,1.0754690970320417,1.001322631617192,0.9353475784205502,0.8461656963480415,0.8653131634628393,0.8268317181026053,0.9678911566695478,1.0000747747076981,0.9089414035412254,1.126699167746068,1.5205931767545338,1.4351279961021828,0.951171564926344,0.9302725122478687,0.9795918762678686,1.027252968130544,0.9219270156138817,1.0052425668261915,0.9189071179969909,1.2895764261514007,1.0716649445688797,1.0655630727679124,1.1420976522426125,1.2600415805048772,1.1794250375400233,1.1351679172761524,1.2490664770578706,1.2953177903864475,1.316180496357153,1.1830446613864034,1.129853670586551,1.3134075097365685,1.1887825160862295,1.1542964101250175,1.119373248430295,1.267018428789995,1.7319988436916969,1.2506063615605483,1.2755361528206508,1.2874766726293523,1.4748937120711685,1.3016621167336522,1.3843136562100355,1.2952334344415413,1.2100465822607667,1.2121733980110656,1.0942693605341545,1.2339028396638245,0.8649341153283996,0.8317363117810826,0.9215401305115631,1.0211237149409087,1.1275402990071774,1.126261415482128,1.364305245417261,1.3262707901110655,1.420063655373041,1.4340545640772893,1.4136802634082055,1.2424440781615846,1.3798302774345155,1.2541163783611098,1.1746522049406054,1.0099666334519963,1.088384011876662,0.9897798353317068,0.9840770356608927,0.9188525836783719,0.8411976148849998,0.9405520473740198,0.7752474083351212,1.0377750523260565,0.8623336868205238,0.8713056328709164,0.9882830105117172,0.7747091136634748,0.5922294412410252,0.5354839630176107,0.5501162655110177,0.6450787783006006,0.5993345607739392,0.7457323264833438,0.6623050319655267,0.9966295683222424,0.9564888327099458,0.8353674400059793,0.7162707384861647,0.6080861788592787,0.5524880290794711,0.529712344274575,0.5707454625553071,0.644473602641958,0.6196894975417565,0.6220207215206643,0.6867016473175015,0.6446892217438309,0.761479234939621,0.6288641407719148,0.8430934912291523,0.585952662975424,0.5789577050361462,0.7444230985495861,0.5706726204177286,0.5440297912199017,0.5346124038037305,0.608036752265171,0.6742453358833902,0.7581284674054279,0.6844555532115215,0.7211863292188337,0.7524447161930632,0.6744219178777399,0.7177827121864409,0.6473636922550002,0.64736626887788,0.6732474863722218,0.7068468488058378,1.0614731935685164,1.5257052998378147,1.0568957911107688,0.937355104062374,0.8231656613039272,0.7953450554769667,0.8147663766365566,0.7044097876296721,0.626445871430235,0.7430955825962737,0.6380242927345717,0.6885253209570527,0.6597891113989043,0.6074444863690441,0.5784433322992213,0.6027603400587213,0.6713565952359422,0.6248920423159626,0.5874633495554196,0.5424072522746419,0.628056874616973,0.6821085615751105,0.7056825448516205,0.7972471101238953,0.8505862589576445,1.1022384824455504,0.8102519518624585,0.8550411621454709,0.7071693120701659,0.6931002185264329,0.6893545493905098,0.6731245279384025,0.6348544011264179,0.69968415962927,0.7739285834969639,0.8756611651378405,1.0106472257911725,0.7367388435423209,0.7516266188960439,0.7624046703597135,0.6515669716987131,0.6136468503864698,0.6309803606988055,0.7102429319642063,0.7265148557374007,0.7859802345252518,0.8003803446172516,0.8354743625214129,1.0394023668048304,1.0890458280119064,0.9034497435282745,1.0164603172825117,1.2507097218806564,1.1512881804105703,0.97173444489194,1.2211874144184875,1.4119799624661777,1.2047233168876224,1.3324739512407338,1.5429940543988179,1.4480401433664802,1.419493296126378,1.6216331686680765,1.5007895920908951,1.7540690677294606,1.4766209005792987,1.4584467649123416,1.628490286417937,1.6316292114202824,1.7330140063221287,1.9829325983927555,2.2645556611333144,1.891767138152972,1.6599337542629677,1.4720186698553226,1.5980671407794338,1.3486787098276283,1.3778877254989037,1.3967599369582049,1.4186422235691059,1.5397054638417866,1.2193012107929744,1.1948826659754934,1.1619218662190451,1.1613927659468377,0.9264410055794954,0.9725398087681055,1.026813746029372,1.2183997061569043,1.3447622924122882,1.386266738430052,1.636660433325468,1.4738196497236382,1.322054222172844,1.5376857546542033,1.7344467790725435,1.3823621951185738,1.4402309738436145,1.636668234611609,1.6167100234880796,1.4837198356982406,1.7248497496103874,1.839985759903935,1.6939769653471919,1.7674602985777736,1.9382435397355222,1.7565371214477752,1.7412208640229192,1.611196797512091,1.6405403040854007,1.6648260336464686,1.4832655500187168,1.5723324558293805,1.5628181650780966,1.5512665973792155,1.300486848109077,1.4491637466968728,1.5775628553568264,1.2834376680042245,1.2075309568744266,1.3947141211689984,1.405378612997143,1.1969661428393774,1.1611604084810196,1.3307479019679156,1.3018398626119967,1.6814963139489583,1.2342060618637343,1.1457299429080818,1.0765906633252995,1.114132932029939,1.0052353211652514,1.0139827033853113,1.036687371743258,0.9524874626373886,0.7038768884302937,0.7409459441637469,0.6328862478187686,0.6633750299824276,1.1688097900908636,1.7288501905096734,1.4980983669043317,1.0553462225919867,1.6633567121522868,1.84361253546311,1.0208278970620144,1.0941777212859636,1.9844250384963598,1.90782758110915,2.8847658584806495,4.675384355592723,4.477323210353087],[0.6724870292293953,0.607146742793992,0.7347145518334001,0.5073176875724137,0.5936462353415491,0.6447964806486637,0.46492510304752493,0.5554018843200947,0.4368446349083932,0.40786243122160065,0.5003227346997934,0.6270381277789431,0.5271535245502429,0.47369038717923156,0.7303420025993745,0.6609964077560949,0.5873153517764668,0.6810343873064686,0.6523549660787711,0.6515557985037895,0.6944849033327024,0.6952597731119695,0.7701997319468521,0.927943444251842,0.7233832206733722,0.675835776054447,0.6893658544100553,0.6112687754761585,0.6316069935503462,0.6905596454404092,0.8274806770985993,0.8041995196441399,0.9813804558735965,1.0161475165455005,0.8783817658536196,0.7818023875247408,0.735567999370076,0.6757942384185859,0.611766151265658,0.595932501240974,0.5800925231227222,0.6618614436270162,0.7001599741872657,0.6290008677067893,0.9371545538095474,1.3844318269904228,1.3476296575024893,0.7370405292885484,0.7356361192175342,0.79127129317895,0.7721073545972816,0.6581267682210034,0.718994180642452,0.6389293516629245,1.049860300434292,0.7970876797041251,0.7869245951252481,0.8564350392646776,1.0061281664572552,0.9191207468315166,0.8507136670865575,0.917808570937647,0.9428145027079979,1.0274071410894197,0.842025793476029,0.8409488649515032,1.0152729795581978,0.8253186752695141,0.8837105430582028,0.8064710163122537,1.0381533845325897,1.5596133874473486,0.9900283940122878,1.0330928540058884,0.9490159279352877,1.2068458390730998,0.9299902366939768,0.9987554814079203,0.9430707193786568,0.8916394658404464,0.924166135231888,0.8562094612888071,1.0917312716752714,0.6678313489111938,0.6133139817374414,0.6774359760792389,0.7325775142898334,0.8646453443814142,0.8198979970175018,1.017455693922428,0.959141576586655,1.0651686509879226,1.0764232502245012,1.078800171229466,0.9352156726588564,1.06791316677168,0.9925618698448925,0.9037043786977724,0.7834840056305215,0.9823857578140944,0.801083365071438,0.8317431006746475,0.7524412604708439,0.7258677378405584,0.8819572900370529,0.7704137054029419,1.0546364643907273,0.8265840365848891,0.8135999420144063,0.9483502876851158,0.7292460044720473,0.5491859795167229,0.4565437790791204,0.47516281425779444,0.4772567189807572,0.45027962915969805,0.5368784825516639,0.4722312193670056,0.7872239071957225,0.7347910096871759,0.6081706207249458,0.5214407845672202,0.43887194958457487,0.4141775241485364,0.42965680114836635,0.49979189399753193,0.5751260944279272,0.5538089599973444,0.5860704854866994,0.6497965782650555,0.6418209845575208,0.7773428686492799,0.6148940237113366,0.753748651593664,0.5176799405103192,0.4921472744576261,0.6968115702916745,0.4851745054631609,0.49918861346427185,0.4263232845017411,0.45325202896105327,0.56512415174937,0.6110779772736391,0.4848879805774697,0.509741191918813,0.5323874890047964,0.47751344249448097,0.5365104963230268,0.49505136087977347,0.50214634972036,0.6064676472877422,0.6088535028669807,1.0035408744433165,1.4533831093677967,1.013287110823119,0.8181280919696889,0.6562251393201031,0.6998789258304345,0.6196266882215913,0.6048424461880009,0.4739207348611091,0.556450759241069,0.43270341173163307,0.47983116131541514,0.4689659241974969,0.549119366565722,0.4570347813535371,0.4890019824535761,0.6004994626371851,0.5439242442130764,0.5004282039909826,0.4243058097261499,0.4431261005578405,0.5060937326455902,0.5365177647218643,0.6556370196934993,0.6615875342270858,0.936950493406879,0.6334859332298496,0.713234704932863,0.5487020895515612,0.6041700729806867,0.5997619102500514,0.5955652549783013,0.5362868175858166,0.545891684796234,0.5734498656558856,0.6790586192045952,0.8683160497850784,0.5508801485855281,0.5893339703191615,0.615311850169729,0.5776569981031974,0.5871488153071215,0.6233534995867621,0.7126338918724081,0.7162432551024629,0.7932107237574986,0.8197171938277558,0.8521790889784385,1.039355946125511,1.0519562999961451,0.8987981223058997,1.0168860358884346,1.2193141216969052,1.1237815391296864,0.9773914159065106,1.2097182318718445,1.38146376466744,1.1824721264116127,1.301529280829303,1.4903945010474116,1.3848633918661608,1.365149514036479,1.568118712697671,1.4578963276477444,1.7217669712377444,1.4784111365179495,1.4303488647618856,1.5901467787479904,1.5910253472791465,1.6913585590065443,1.9703890621051707,2.2052210740376634,1.8476823671809548,1.5888456606409802,1.3836146042598987,1.5139903940336434,1.3044605520782042,1.396250619588463,1.3849257234537111,1.4021655905111183,1.5889380506419375,1.2648189143114632,1.2579514520468662,1.1820927592415489,1.1171584857150256,0.9777933761652661,0.9868454604664733,1.0255580154259325,1.1640422856598776,1.3009947688467707,1.3194936036034939,1.6160243206783307,1.3834538661964952,1.2253851060035827,1.4290131755796511,1.6029243639705715,1.304825041005479,1.3618838041088213,1.5297179445576925,1.5091321360705858,1.4181473785854186,1.64164197295676,1.7496589233933046,1.6198115592311888,1.7065968913774874,1.8535419458978262,1.6976140931302302,1.6737412065403459,1.5591553044826116,1.5783725652022533,1.6214687092810183,1.456412765099802,1.5353359033802947,1.5351936584967512,1.530916079309227,1.3031745360376976,1.4556355404199783,1.584217291639331,1.292676988533249,1.1937090914120012,1.4158207890858607,1.393591001023476,1.243314337869273,1.1776745498757506,1.3377006765790025,1.2834930339951889,1.690545480497138,1.222427465348993,1.1318766575519217,1.0736006735633123,1.1177805418034152,1.0293909039159184,1.047068564018023,1.0711473127351792,0.9804749442091488,0.7080409574279312,0.7560086559883836,0.6353724097908113,0.6818992000934072,1.1249721934020764,1.6453776706488408,1.4188188198511704,1.01436562103618,1.6013994771049276,1.7165961029968495,0.9493831338700591,1.0390761593315,1.87974730990979,1.7262696615951367,2.6456789694446545,4.408008036213406,4.17100741387123],[0.5420207106671883,0.5312649370444948,0.7049726512741455,0.4674934477415957,0.5311185521816014,0.6791017160487706,0.47891743062010483,0.5203848147091994,0.40789716905321555,0.38275942126672385,0.44502718891258847,0.5438055522421859,0.46271368573276045,0.4420923143045907,0.6629779283171657,0.5914479866144571,0.5397229752296496,0.6242150853618779,0.5981901696380821,0.585441484607719,0.6229919997263883,0.620191156729439,0.7514116762897435,0.9368378275144693,0.6531056267298988,0.6364269024550425,0.6137706269854081,0.547202027687972,0.5827399357499903,0.5962716770411357,0.7299434475708926,0.6907739074411404,0.873378736970105,0.8765493250297114,0.7618296916263911,0.6713771064408152,0.6321779503817311,0.5927911510031258,0.5415898345912604,0.5304956762598488,0.5395425509901249,0.622871637416514,0.6233539825122433,0.6465958880142361,0.9217454465201188,1.3472777936271,1.345095388004308,0.8260160132751134,0.742011205606508,0.8063618324306908,0.7398622020282591,0.6496857106950306,0.6382593780671307,0.5876612102988135,0.994233068329418,0.6755546774621253,0.7128686875838295,0.7313041091381574,0.8696947170339656,0.84020158483529,0.7233724472730002,0.8050666633216148,0.8335381257717333,0.9446441823111807,0.7334702568324609,0.7349751303926065,0.9257171089985594,0.7417911066865251,0.8198589360057776,0.7175348106536055,0.981556465721649,1.534826733092118,0.8959376936776929,0.9531460259188299,0.8167075162900899,1.110234619636583,0.8098981904716199,0.8691262409797712,0.8175102188266195,0.7753709525249193,0.7893008630084221,0.7349411661741525,0.9474370948668699,0.5901289295174537,0.5319369978519404,0.5711318409846065,0.6453970112273553,0.7926696769569965,0.709325729665449,0.8845471761807835,0.82181894462971,0.9391321616275651,0.9448596043123411,0.9459376577454717,0.8179541355402388,0.942944445497476,0.910054162598689,0.7744346178996317,0.6706920180129354,0.8707328343501629,0.6653032734361105,0.7768068235793941,0.6293444940780011,0.6512273175120308,0.7669326692425957,0.7128148634367097,0.9836013534613536,0.8039145523647956,0.8227591666925741,0.9968777620966045,0.7536666870806299,0.5291560102335857,0.44724346328137476,0.4367168131914764,0.43632838452298073,0.43108426426113494,0.5139421077938605,0.44399292858204714,0.7627566947045716,0.6634786563553202,0.5796279139940925,0.4888694797573085,0.45848699292558204,0.4092706717909866,0.42179114873638907,0.5045249469460694,0.6060795043453276,0.5599882589079606,0.5859013694032328,0.637741249067256,0.6294690487640465,0.7281709911048073,0.588737827669857,0.7417935944898156,0.523599905567971,0.49608409829962363,0.6903700912972468,0.5108923371408975,0.4684787189332752,0.39109265436245033,0.45865976384792523,0.5373781460292951,0.5656103002043632,0.47215079139021265,0.4555257784306386,0.49271828429025344,0.43305804015266713,0.4782051444358517,0.4395139546417294,0.46583685987441736,0.5541435184562877,0.526469351685608,0.8777954839306902,1.492631157309131,0.9565668118449796,0.7135660618253562,0.561347436264443,0.5963140786223701,0.5458186503093816,0.5610553409300177,0.4590992241151791,0.48743462345328065,0.41265819629808226,0.41812602556937467,0.4889152023866457,0.4978570799956157,0.48208250172775546,0.5343918388703284,0.6425049547106451,0.5744410376297201,0.5267678357199035,0.44023137157777237,0.48173402009466043,0.4980371899433808,0.4713226199885498,0.5872769935966374,0.5886540042276593,0.8775268881744245,0.5935798279897967,0.6429701090822362,0.5177203424606501,0.5566503748171082,0.5572821904750025,0.5523105684177348,0.49070951541629065,0.5262710515448432,0.5323207995751726,0.6471055563836356,0.860645276944382,0.6136068247099438,0.6756089741509753,0.6177085983905469,0.5928977798310635,0.5746008281232365,0.5995999017322309,0.6700867947162618,0.6836884777986649,0.7327589850630428,0.7557643541334464,0.7806729744440083,0.9705777348274336,1.0007852541067113,0.8393078994609098,0.9724162275890256,1.1755896717219856,1.100407437296098,0.9330627238575154,1.1544055903281927,1.327038970191453,1.1603698436432412,1.2616726878367504,1.4411891620282815,1.3798910444089953,1.3633067439968278,1.5013399907575447,1.3923443227030654,1.6163413458571696,1.3503333753039908,1.3495146488872785,1.4852194991780596,1.4688701911165865,1.5431820554970568,1.815276467407423,2.122906135327416,1.8115547336444207,1.5278928912030243,1.3267195111797163,1.4701836567753044,1.1886050415007627,1.2850073806062339,1.32685634313506,1.3250238941895818,1.501555816340234,1.1867203734101344,1.167448965343549,1.1270878960146227,1.0521785879149503,0.8962902391096719,0.9154887244275065,0.9629541343984642,1.1212267587098228,1.2621396731591024,1.2946459821443377,1.555279672710805,1.3900243351359243,1.2354766451161199,1.4100282935680089,1.5969888055393184,1.3140611793645074,1.357812994938716,1.5270907948640153,1.5245672002034212,1.4050762232035205,1.5944961614300033,1.711247977538454,1.5977703594590842,1.6410875358734196,1.7635358214281631,1.6080760351251382,1.5831130587242288,1.4885548774376336,1.5008104463513412,1.5190642798667844,1.3769042344623335,1.4639094015466825,1.4338576567978734,1.4341328510156943,1.2168734002463573,1.337228888843757,1.4642107723597855,1.2121550662530058,1.1278101165070096,1.3039006740723469,1.3025368222948446,1.1585089465591552,1.1031775774470933,1.2320163831258393,1.1994979667711116,1.5725426596469654,1.136626595727573,1.0693107792509886,1.022430128267711,1.0696451827755369,0.9814897177948498,0.9840117118888175,1.0306840153205548,0.9169869257375349,0.6666200288799872,0.7158739008373262,0.6197392204444367,0.6176024819125906,1.1691332679489141,1.7373197623075587,1.5747694602952118,1.0976129771001824,1.668126940328331,1.9020121686180909,1.1264550788961851,1.1385276082144205,1.9998484930864326,1.9231794457628313,3.0598809091641765,4.794055213104579,4.469256620332999],[0.6267078860196807,0.4941410712530877,0.6521457722420595,0.4364823347788837,0.5209279088684182,0.6299810961907613,0.4926712326725122,0.6334105837716917,0.5428673896233084,0.5731439273748727,0.6833152484631495,0.7867335561999191,0.7036672245469708,0.7084078728188257,0.9618432527076383,0.8782174786269625,0.8334971099307895,0.9198080239205167,0.8914340826965597,0.8884555486739071,0.9189822335854226,0.9315756478591101,0.9225491091357385,1.059896449694318,0.953651390505379,0.911472126270953,0.9327487737242528,0.8654357652557851,0.8632470186611048,0.8982046104426507,1.032030363180972,0.9756239819348179,1.1215459261504923,1.160557805386948,1.0514987587206859,0.9887432741163691,0.9476667888811996,0.9029655829805485,0.8496477882042821,0.8279688460228304,0.8121511703552787,0.8679532018558248,0.9335946269163087,0.84456421106454,1.0558362279052234,1.44881395752947,1.3732656211142351,0.9384265761581616,0.9087760488758946,0.9374194418050709,0.9565274514226424,0.8558236251527312,0.9014333039529856,0.8469739392533485,1.2121309157948272,0.981268269422284,1.0217547592297078,1.0402041475897081,1.1633277231818693,1.0709152492339091,1.0348148704294458,1.0996931776952317,1.131940033694037,1.171920606262167,1.0264656316832577,1.040125115905455,1.1644942039858528,0.985677436667146,1.026134269674481,0.9799764020757634,1.1348452556833228,1.6097023654836993,1.1243589383081738,1.1220195099693735,1.13358727171559,1.3375209627313391,1.103691854448844,1.1496088355800818,1.1242174302435812,1.0965980410904033,1.0879184628718581,1.025561555063702,1.2036724751836332,0.8291410093923315,0.79656929391441,0.8725076907000404,0.9535668173308887,1.0427841297070395,1.0210798403350045,1.1598116502329676,1.1203888313891437,1.226519745053994,1.2262193153233174,1.2202399864266258,1.1034239812597084,1.2402837775332483,1.1697379576254376,1.059273218025363,0.9437401218911563,1.0826989471375406,0.9374608014477626,0.9228333150809206,0.8786757316950331,0.8394295387889255,0.9592176371172205,0.8071974457459422,1.0234592512113307,0.8298636093314913,0.8269773280424878,0.972479576347794,0.7284897752390447,0.6109952263979341,0.5693599417090157,0.5965301499121074,0.6504098885712706,0.6259781794755499,0.7664519128467433,0.7035084449078591,0.9753413598718831,0.9690580779032804,0.8258321419949818,0.7283204465112333,0.6109942557428758,0.5480739023760598,0.5042486620644101,0.5161783882582092,0.5872340592366758,0.5965964488955137,0.6180992674498275,0.7127286876244614,0.6568696991447448,0.757655123505152,0.6516098678243264,0.8279623150025424,0.6005829825657922,0.5813732847814432,0.7018323929810374,0.5193401923269335,0.6142016189846783,0.6074635856408922,0.6285225271105364,0.7136144132913539,0.7564919315987708,0.6981437769061554,0.733094291861794,0.7629559048087421,0.6929848438417596,0.6970739812901272,0.6633053281308746,0.6544059065006613,0.723497169218426,0.7170186298238861,0.9992036014930218,1.545403569577141,1.0537856821077638,0.9173324493639318,0.7990361144220339,0.7989500180301854,0.7823951773617864,0.7439764790398207,0.6429618869269074,0.7422875781930138,0.6413419639069688,0.6893028090475224,0.6621461957670606,0.6747112378278115,0.5832761467027727,0.5850311168401983,0.611357505962364,0.614198255264089,0.5617105259998265,0.5410799181646434,0.6136429098225256,0.6676021851919904,0.7083200927871319,0.8059369438066314,0.828030250899653,1.1008016775155192,0.8149368021834651,0.8575796970261802,0.7135657410739161,0.707490487755473,0.6895234764377967,0.7040779296374083,0.7157939475535795,0.7744441936395733,0.7908216291990722,0.8868862243707769,1.011008633489188,0.7349855956746727,0.7760082295509821,0.7792138898981714,0.7068539582712746,0.6587865326437342,0.6611173466530141,0.7207027442658616,0.7099463266098555,0.7510318352581171,0.7452873645273598,0.7873217835278302,0.9489992086733983,0.9973539256288166,0.8262888396697924,0.9012802698149484,1.1298883083896867,1.043313995360877,0.833262900657496,1.0614780459067326,1.277567128991523,1.0741362920846709,1.1620928002312718,1.3646936229062583,1.3197555826583358,1.2968729538127084,1.4016830134423555,1.2703551522982914,1.5341709322462023,1.2018869349519241,1.2343767360927083,1.4030669265052618,1.413841835420756,1.5692889953028868,1.710377504301844,2.100734543920132,1.8067170256828713,1.5539537257956373,1.3736801206257858,1.5304482920459757,1.1930948044613325,1.2461106801773685,1.2984799946681609,1.2847787854929236,1.406602211474062,1.12707655846306,1.1907807385664662,1.0304899893898058,0.9834436650914212,0.9560463180531089,0.8757833979492009,0.971291971842324,1.1456017262749074,1.2694794779964174,1.3291809434308846,1.59226193071338,1.4295807754331127,1.2473998474363406,1.4427820296897975,1.6312926993332457,1.3225468702813281,1.3471591796757574,1.5465866240234132,1.5351413171504622,1.3874891481975007,1.5981621024736758,1.7356936224053159,1.601539551030848,1.6285081588071506,1.7685885538841033,1.5913775830879768,1.5817278653270312,1.4773263433627106,1.4963221999132754,1.5047256141128627,1.3244001605104114,1.4160967935579032,1.3825788011357765,1.3745937765464475,1.1390990968168666,1.2834907254003494,1.355312431819206,1.088352291842836,1.0086358068515227,1.2041449288239767,1.152949023041526,1.0105745539743085,0.957140205690115,1.0433222105565425,1.0312494255295084,1.3959832995104333,0.9728875061553923,0.9365824635249693,0.8935121115860017,0.9388199556311778,0.836463195525315,0.8366356877312862,0.9225341756975802,0.8113465485411622,0.6170347975939761,0.708947205257213,0.6128981336407184,0.629650306391349,1.0770248104445053,1.6779300346947137,1.5253192804021227,0.9713577572807807,1.5975542315999198,1.874259497111294,0.9826524302659082,1.0078190462238799,1.9412110532465756,2.0004547452160173,3.1071415364551513,4.993567071185269,4.892204718493745],[0.4856112429492157,0.384037166482442,0.597020882724857,0.34862363392069534,0.41489138449813634,0.5710186458167184,0.3520154925712311,0.45978038667299453,0.3531984266571983,0.36073543392945073,0.468759247063079,0.5433736399573116,0.4868984585495788,0.4891700769440163,0.7196628331464858,0.6415829291753622,0.6186033364099389,0.6986441947069009,0.6853507045144226,0.6778823261233469,0.7204290980941439,0.7132314310810565,0.7880585322265762,0.9551948665745024,0.7464979419153149,0.715715444633774,0.727971717252388,0.6458466046737346,0.6439570444341739,0.6512797573743538,0.7914876624423874,0.7402011805111822,0.8942758568098623,0.9271114407436163,0.8008119692164292,0.7456185544148975,0.7005192836750511,0.6660064932247249,0.5996158556662301,0.5795251069862416,0.5975727587518617,0.6652043747980836,0.6980762733662947,0.6390700212684379,0.9225009475651607,1.3640080342231469,1.2860572854030043,0.7569574378915822,0.7396373959204988,0.8012230601462433,0.765441116275239,0.6497261487860579,0.6943851951573566,0.6142969792601662,1.0231479924139735,0.7568601342517196,0.7949389438122707,0.8051533576177382,0.94588126053058,0.8901948164632661,0.8202358858903765,0.8835903364408544,0.9063915890761002,1.0089484260971398,0.838148516613048,0.8241203718820345,0.9909292575208145,0.8102389983803417,0.8740244050993319,0.8104205149037587,1.0466483928124848,1.5580965105201006,0.9836888552077349,1.001436526955476,0.928240131606257,1.1613752799365755,0.8913140974945596,0.9174855756445144,0.8838402684396354,0.8528602595756061,0.8580566892113618,0.7950932005607161,1.002380438782188,0.5936615178282733,0.5517257508902493,0.6212175378508359,0.6994073044043393,0.8072094093455155,0.7800518543671986,0.945365225258748,0.8952814042975705,0.9882034240181731,0.9946378788898531,0.9955014761778533,0.8789379889022384,1.005829214170547,0.9798296864819362,0.8086445738114022,0.6700041918446915,0.858511549001091,0.6532411817662257,0.7062480752145396,0.615977593863636,0.5859534983219069,0.7381311393045418,0.6190731004309586,0.8816105170921927,0.6704620456869707,0.6982969930641024,0.8573066415117334,0.5939966064013487,0.4072232240063235,0.36248627000209177,0.37889436360882944,0.44851670026374724,0.45427315763384707,0.5873974179686319,0.5429833199142075,0.8493900690343195,0.8003622773466599,0.6719697065629099,0.5715536737322633,0.4654685009690076,0.4002868873451229,0.3516215037884195,0.37246788962329525,0.48341094941381496,0.445585155726451,0.4554777112660664,0.5289856701551464,0.4882138847525771,0.5879580522044358,0.4461180569557324,0.6287236304829655,0.41802048536943975,0.4150033407284167,0.5848833677591989,0.4203954887618381,0.5003611321680571,0.44058389809570797,0.48026169060314267,0.5648177667817643,0.6279611231513862,0.5254527732300073,0.5339914972712411,0.5401527728103315,0.47386174783743434,0.486784960046778,0.40606850334405054,0.4027711591943573,0.4918747468992866,0.48057531866281106,0.8427661003277233,1.5773416494276067,0.9550475746125506,0.6892657560960455,0.5251242774733946,0.5547822104907124,0.5256831998276627,0.5071283772126374,0.4132094049414221,0.5025684775287396,0.4355707712393477,0.46127707322326567,0.4938252783587596,0.5254610453542194,0.4272055576276649,0.46206707531195546,0.49937606039698956,0.5035566326686367,0.41982289742971285,0.3772136424329005,0.4097127692663495,0.4424366046553773,0.4549689056525646,0.5501951601167151,0.5790865995575734,0.8564657333267014,0.5613359986844084,0.6067041136820055,0.4715312604215553,0.47333278926821776,0.4666707544283731,0.4689860485209402,0.4715162109256293,0.5396274247100935,0.5660424256204437,0.7149411221660434,0.888095735295913,0.5785256751431581,0.6466487093835948,0.6259970351808222,0.525105768954271,0.46390401990387525,0.4637191915337465,0.5393794972547736,0.5785186677808407,0.5735144393130873,0.5914383838012535,0.6250668337517559,0.8054725100200636,0.8795069840059032,0.702858081548104,0.7972925027417151,1.0317898545681667,0.9757362649247748,0.7767067189378941,0.9792051109303249,1.1947635243414632,1.0173927256477306,1.0853466654554198,1.2715505231483677,1.2769485988915263,1.2189776945974704,1.299910563218149,1.1835852734956949,1.4367165093759633,1.087361098310594,1.137261705241089,1.2882523239271797,1.2735188915298126,1.4974722144591799,1.5189652363607202,1.9949110456370744,1.7329097284409904,1.4278540667062083,1.2799156047379503,1.4351976407347213,1.0427430660816932,1.090168729372656,1.1805119692666428,1.1672508661945238,1.2715305877587957,0.9803368296395255,1.0057365097158824,0.8867748752712646,0.8956301785722545,0.8026127219814077,0.7411626035495382,0.8315181368883774,1.022443682146837,1.1626940026379322,1.2486271913943103,1.4997803509111902,1.3816478313274854,1.165681812669457,1.3323763911657969,1.558699995738588,1.2585628304349192,1.275586663263383,1.478249266972948,1.4850470358698684,1.3172713468537238,1.5051915871378057,1.657900685787277,1.5452506436833937,1.5268348254326005,1.633994709218795,1.4637756378818976,1.4567147309935307,1.3685727044268747,1.3864297656847628,1.3730421832282527,1.2207354574886666,1.3098962657907514,1.2485965636150398,1.2462300833634625,1.0231576400353686,1.1255490117797309,1.2029617930017515,0.980348965169793,0.9158658722157765,1.059242239401903,1.0437750560503767,0.894314052125156,0.8578068453321032,0.9633863126006827,1.0072438524601108,1.28488952343754,0.8999021647344619,0.8501764897175721,0.8193004145172398,0.8705103459431038,0.7743598431862997,0.7713768046805599,0.8679686866811696,0.7346270777954809,0.5272087473383475,0.5595952290197899,0.47200596015127166,0.5024761888053011,1.03608957293022,1.6764363741481094,1.5636199865332912,0.9662451089827911,1.576934982327357,1.9926526688415953,1.073773251497124,1.0391226596504444,2.025674725766762,2.2180496670190193,3.569816984089326,5.382631395333145,5.25871153604615],[0.5953669749492773,0.5026371224728592,0.7031758543380163,0.4714391167618958,0.5224916943634585,0.6750180182551584,0.5175876137911842,0.6792702713328996,0.5856460615668105,0.5994999918846202,0.7171137467674567,0.8060124304639174,0.7521355123271913,0.7109689766356675,0.9384780196687875,0.8857117514029615,0.8282961352273644,0.9226512552973715,0.9010136953884346,0.9054122209924963,0.9309850574479152,0.9245834890678172,0.9852132567548648,1.037496380799155,0.9203923758053629,0.8793513525621073,0.9163632052369101,0.8572856579185941,0.8812750788951275,0.8835739143228067,1.0108987063100934,0.9847869050965935,1.0756648882286917,1.1253558536444552,1.0282321298694868,0.9627934039938296,0.9491986794205902,0.9157601574184071,0.8553117686547371,0.8442682567960604,0.8377195473475609,0.9344221112415566,0.9445915911085897,0.8998384666577411,1.0744404363858395,1.4966290494106598,1.3539961685081536,0.9575136115441013,0.9403712011439305,1.015202619684619,1.0214930453334885,0.8851030455204292,0.9061100059867597,0.8478807596138702,1.1937290671226828,0.9788851472513566,1.0113851360532269,1.0119038802451856,1.1214639622175748,1.0460774827467239,0.9901244402660462,1.0998209977055093,1.104458850338997,1.146235059087432,1.023139157036249,1.0145940680571386,1.179067268656162,1.0398738229018625,1.0486360745323882,1.0224455765995866,1.2429638485783405,1.6684070644585824,1.127540168202465,1.0712884492960464,1.1129136375799997,1.254086545302004,1.087145968638333,1.1026432527932852,1.0952603122159346,1.075207910150268,1.0905897543056924,1.0076576927725467,1.1202053985450404,0.8134257963814395,0.8061388137036255,0.86271081777963,0.9394106863622017,1.0120570760423562,0.9930020399392608,1.1312897504690616,1.0978499467209792,1.149851645021636,1.1942207212029776,1.1926918949140775,1.0946577176682302,1.2081720525179194,1.179096995718933,1.0492530658042245,0.9318152832800874,1.0297663430529485,0.8980012907658768,0.8962175332135901,0.8521934246547155,0.8064561850308877,0.9403601445140712,0.794975995987552,1.0376476298420025,0.8112668338448633,0.7834973589174341,0.937404893602497,0.6940171821576614,0.610612863403796,0.5945784021655517,0.5919859516905526,0.6553723219596662,0.6446721296350478,0.7691495262495447,0.7235706673626798,0.9723955722501576,0.9482026821340558,0.8388703472216332,0.7480722828127003,0.6364168552750953,0.5816321468861548,0.5524967789776475,0.5772389713139097,0.6379085867760235,0.5865565916983249,0.604738965685343,0.7073804873906393,0.6336576327998675,0.7444582864483322,0.6334783119960669,0.8233131975328413,0.6044896264075289,0.5896447633312122,0.7129497195819651,0.6026615766721142,0.6667453086294042,0.6309457503941692,0.6481904880889194,0.6930527004043457,0.741098918183975,0.7031512452699469,0.7443842908453773,0.7672769715966393,0.7014306709967122,0.7305768676141801,0.6829877044164178,0.6853228151535001,0.6826233006677828,0.6815657635611198,0.922099057625974,1.5984252530702316,0.9943737854799274,0.8622066228507997,0.7843662236839755,0.7770820591299026,0.7865388900377508,0.7475099496433902,0.6704558911132049,0.7375964919263963,0.6880320217834308,0.7161631983527771,0.737176940865984,0.6814310402353965,0.6188233789196277,0.6102813201358168,0.6105580369061681,0.613605619054855,0.5898986055758655,0.578514262956879,0.6443805811371232,0.6964507249716273,0.7180573646628158,0.7797752290470508,0.8078419779255392,1.0098774804085937,0.7871533179517798,0.8329813101450539,0.7204184336504451,0.7221462978824791,0.7111968627419029,0.69399350373361,0.7042572739719568,0.7798865886952288,0.8137801695140768,0.9131959984269021,1.067141295231083,0.8013676347937492,0.8181754585855614,0.7969342706498983,0.6611980131014655,0.6171971314841914,0.6082420576282285,0.6815025694665839,0.734272498715625,0.7072012513135061,0.6967902632654507,0.7286874785024653,0.8864509002567554,0.9555409336232955,0.7751748078180402,0.8585519735134527,1.0954146908151312,1.0286804362441622,0.849929654088152,1.0316396423793182,1.262410593725271,1.0554394989529816,1.1121977647621601,1.3091915151345455,1.3113757401436563,1.2381426935196131,1.3273478050779666,1.219977293138301,1.4940646004526372,1.1359651634743013,1.1964564578513126,1.3455122295699702,1.3376920390916933,1.62404066951354,1.553912537952955,2.0917723503001873,1.8229572192901664,1.55099236319262,1.4073967797572173,1.5774528693637482,1.187958000805711,1.1886794809401477,1.2528940195438831,1.2670012743610104,1.3405886118360018,1.0679156109453696,1.1264291459675302,0.9744739867372199,0.9861284375417981,0.8967445978164593,0.8326197765585022,0.961070280713431,1.1193403184713886,1.2521958581847412,1.3549942706660336,1.5783276025134794,1.4650631512778465,1.2591837088859896,1.4325422426030643,1.6285547968749012,1.3198562761735244,1.348327218339897,1.5613150919262324,1.5583287821676601,1.3836619487510302,1.5830931599592295,1.7428481157121156,1.62324707099647,1.5851100366756705,1.6937543602329226,1.5371024764531638,1.5407320471824084,1.4532612957644324,1.485447994457548,1.4536881263798416,1.2906306294461893,1.3931748153653052,1.3206893817232632,1.310279163177358,1.0912800217977623,1.2150051641252437,1.2408342125039133,1.0412432282133457,0.9946219117006232,1.1310875844729005,1.100866135904995,0.9565866919050654,0.9230706968848394,1.00315527702792,1.05522629957184,1.2583826846698036,0.937394175121857,0.9065957893568288,0.8647117226247764,0.9154727092266717,0.8103796209283981,0.8053441585175313,0.912196601869311,0.8377208806141885,0.625689411920746,0.6556924557545996,0.5956029089214183,0.5940900713200513,1.0916867773315906,1.7378143742661407,1.5573307167966952,0.9730591488011794,1.6005834039954072,2.018428769017228,1.029845213706451,1.0219980013887546,1.9828113798230367,2.2993197162089674,3.586407663451433,5.502533877669454,5.639510176028936],[0.6110184110628193,0.5332736082583961,0.7029211229647813,0.4828707906841149,0.4990288155653408,0.6500091105347174,0.49255195175013167,0.6179206513974177,0.5011682502338288,0.4546108039221011,0.5396734101631606,0.5974973393806723,0.5618067646196406,0.5702130580997861,0.801585441929323,0.7122546888671699,0.6836789840266927,0.7774771065504958,0.7725546581915445,0.7627996379497138,0.7967116762010491,0.7907299557760824,0.8626324467999101,0.9438181604130202,0.7955099550203364,0.7573936911734758,0.8120017483495477,0.7332785710561078,0.7377454875488193,0.7305112739322005,0.8507491292721435,0.802492383446817,0.9227846840089747,0.9563078070189911,0.8572785723244637,0.8076428705129,0.7692265564744185,0.7588513884563689,0.7101456961291346,0.6857198647681819,0.7001254231013602,0.7725070974901201,0.7985632555389036,0.7178029168860216,0.9615015172649856,1.3887718449516053,1.2701431831737704,0.791188340421121,0.7856246015025375,0.8529464047097854,0.8656238657171961,0.7194627028996531,0.7745404100277142,0.6961469714242513,1.0322087752288853,0.830421206455642,0.8730860240135311,0.864089073863184,1.0004331545770426,0.9464029259350261,0.8955579460453522,0.9346539026162194,0.9481388820632314,1.038359621844806,0.8870379687202707,0.8702911978108576,1.0540193021221276,0.8987576908861481,0.9394310738130756,0.9075477680342682,1.144529637539718,1.6204701252487166,1.0646612513976792,1.000310524840556,0.9835532598725043,1.1451060394700934,0.9322626859808648,0.9468718931456468,0.9326261581377948,0.9128105004589274,0.9256032004908854,0.8722101168697415,1.0546651442940391,0.672399545350334,0.6518153738277498,0.7159426759267976,0.7888189926719819,0.8681608018516366,0.8417381476312418,0.980921076369273,0.9328657090019742,1.0019446361952875,1.03196910628694,1.0261502461358878,0.9344867324688225,1.0653746015163408,1.0603034088463879,0.8564483106279414,0.7292310354370823,0.9030552001924325,0.7169678599357232,0.789052813107649,0.7083197352533206,0.7111170081290158,0.8331144593700985,0.7203960563944161,0.9437897987712858,0.7722634290619843,0.7990625016277187,0.9284524190386698,0.6777708693085859,0.5451879815246469,0.5111549320313823,0.49637499973802945,0.5319442380561934,0.550058915523261,0.6689096662792483,0.6472419403929229,0.9144721017454812,0.8663746421821359,0.7539557309287076,0.6473814599058314,0.5576893783247885,0.48766661096050823,0.4394255106749474,0.4502517346995979,0.5863355755736173,0.5442156313807226,0.5747244992389252,0.6284740904312972,0.5789183552917372,0.6659664093261439,0.5550577488239488,0.7435996552817783,0.5194290861668382,0.5122068798862114,0.6469415038952729,0.5128774671910934,0.6086387813133646,0.5594518921712256,0.564205154856673,0.6157925776560473,0.6770993545519819,0.6088921357951145,0.6413909764678584,0.6423509784769982,0.587449865581264,0.5969085292201419,0.5435768259519108,0.5375555030834309,0.6324041457964563,0.6487720333066634,0.9694500675402773,1.6890469618971806,1.091474005168153,0.7886298986363364,0.6114089068457248,0.6710048471264181,0.6354160976182246,0.6443948363357482,0.5453681860563296,0.6058933748413159,0.5597591464634815,0.5747588515251918,0.6181311158059885,0.6105965787260087,0.5446560655373027,0.5411441746865404,0.5263951514347734,0.5460982666329186,0.506824031466715,0.49726701978976917,0.5416795991332954,0.562651637888148,0.5783733109828267,0.6456822032524195,0.660023352401165,0.9146069489235258,0.6574165422644834,0.7379019559246245,0.5875253014101897,0.6044463514753117,0.5935735752211992,0.5810239289170134,0.5894885009296874,0.6466782997084731,0.6673595073996982,0.8160037990032449,0.9355159266353887,0.6570838094357013,0.7030783956544753,0.7253301530869741,0.6096297074125699,0.533651503951595,0.5559641081790375,0.63271669832062,0.6862363415795182,0.6713483349026462,0.6794338644262531,0.7056443134904972,0.8548394797243727,0.944701032088648,0.782403348427958,0.828673685462375,1.0459395113222687,1.0053165378017077,0.8243349638420687,0.9690439571528459,1.1889044025765965,1.0141339078782594,1.0430254451261782,1.214245918460458,1.2515711891085506,1.183838375170683,1.2208438411645472,1.1176036188134963,1.3982845067504832,1.013287276575564,1.0899874295887815,1.227802575171795,1.2208584383597991,1.626946649713225,1.346894622051585,1.9291817525397084,1.7217688279382082,1.4361362400407158,1.3260212168532957,1.480431047422424,1.095438343781325,1.0827711510814695,1.1944760687636036,1.1799191441234618,1.1939179018903294,0.9546468581925016,1.0500852199216726,0.8731304692614913,0.9374126670450048,0.9287937413006702,0.8044923617480156,0.8995087887259979,1.0729698464016932,1.2076878436887204,1.326511831299023,1.568233912150548,1.4608292021924978,1.2239624786844956,1.3759723108794972,1.606141171526349,1.321600559639853,1.3040126641996508,1.5069711376290242,1.5138108659866458,1.3252236263395107,1.4806337812247876,1.6356785114757433,1.5481059124286014,1.4659668824935619,1.557333472879832,1.4098067978236635,1.4241778137850616,1.3485434947483665,1.3779785131295106,1.3328981012136616,1.1963944265983095,1.30861504939519,1.2097784541129135,1.2008948218898716,1.0098675906611967,1.0832428504953515,1.1172017064316226,0.956851507247264,0.91148567679797,1.0323060770712165,0.9949407018336,0.8688179989538465,0.8666862339121447,0.9530390289797078,1.0601962721986076,1.130370369212727,0.8680847985837661,0.8326338233099787,0.819253508108247,0.8928269221685181,0.7774565243459965,0.7771710847495931,0.8925900802346407,0.7567349012131751,0.5988844211324241,0.6563400747561803,0.5811791034299492,0.6518463969224781,1.0625583823751579,1.6782968226839796,1.6529778996100857,0.967543391160095,1.5321267647546115,2.084840248167427,1.1212453486400802,1.0374016563253576,1.9901211549463045,2.413001149380297,3.9284844474148155,5.7748051721478495,5.858504925946671],[0.7557461552560719,0.6607728194662393,0.7532435370939954,0.6496293992323878,0.6522654303212552,0.756255289282795,0.6172132120855558,0.7228942753709592,0.6886517801025713,0.7636855037711763,0.8630472872918735,0.8621040051726238,0.8520670637425323,0.8710449832274975,1.040999031501572,0.9738795216671552,0.9295114229738526,1.0445234187213577,1.0388108489514278,1.0184433733096858,1.0580081952313896,1.0384552528007414,1.1049094725510797,1.1136805024639924,1.0177529678487522,1.006229057671046,1.051226652748245,0.9928386749822773,0.9852592389002841,0.9643697305470579,1.1092900827546177,1.011907339409085,1.1044970554512936,1.147971127203797,1.0814474709401194,1.0396303077517546,0.9816038711842467,1.0024707613467008,0.939715985007549,0.8929154362859125,0.9388401622390604,1.0339626232893704,1.0527981612398079,0.9564956650728661,1.1172943670066078,1.5101718292797808,1.3401727447988123,0.9573044656617086,0.9686067387719683,1.0128769408315301,1.0637683824539799,0.9088931854503205,0.9637824162420011,0.9148836303570395,1.268895600313077,1.0621845724712875,1.1027208646356499,1.0614193987248834,1.1602808466487582,1.1213570225064586,1.0822799863399366,1.20496759997682,1.1871192362865686,1.1815214544919772,1.1088343148969095,1.106921919825925,1.2906260956748976,1.1609642739399268,1.1673273688148549,1.1645147731151597,1.37713123820009,1.8092002286446374,1.2674704131670353,1.175440246665018,1.2387989607058703,1.303002686045125,1.1771096191964516,1.1585642355878079,1.144613965868451,1.121007748575122,1.1125930693899977,1.050068332969743,1.1488296001199565,0.7884796404896868,0.8360911306430234,0.9086531283946928,1.0027051308708097,1.044061704313559,1.0599317492233156,1.176612699521948,1.1631213170325636,1.2052242759642506,1.261177613327654,1.248695302642775,1.1796872161408198,1.2848895863485705,1.3454818300227374,1.0913484690108628,0.9382942119793651,0.9468498434715397,0.8651877968877978,0.8430494861670595,0.8140408642119984,0.7730956596702382,0.9320238978311561,0.7627260387028452,0.9625474167686457,0.7885999521103949,0.7959831469386784,0.9313495011580771,0.7053678941945462,0.6492863436013362,0.6740611824890325,0.7189040978976482,0.7853864639407712,0.8191010112153272,0.945150579194236,0.9254107660580992,1.1437889566017228,1.1125205866611703,1.0239463060939276,0.9462669076731067,0.8576043697560599,0.7933589266812296,0.7363865563167211,0.7189549467622179,0.7236429189903805,0.6779048573095241,0.6640504417083752,0.7202284406770616,0.6921769304193832,0.7503942475756225,0.6711581704424874,0.8121950077468394,0.6664144283071992,0.6803947626144919,0.7726109716239284,0.7408917674346371,0.8248079068667711,0.8098289561849681,0.8581218497566124,0.8639509600718382,0.912913492781837,0.8739522700115225,0.8891675207799178,0.8916787076119829,0.8232570436913036,0.823856560019427,0.7220626730485757,0.7076519925571502,0.6436974778908562,0.6439011226118124,0.9018963311781678,1.6720939515935898,0.9605195775552224,0.8059524894336634,0.7467733416873574,0.7528051630250057,0.7864367660109737,0.732504072690576,0.718493829324661,0.8311011178329967,0.7920893095277313,0.7996668763703142,0.8045810220058941,0.8311960472300014,0.7255823382985191,0.742961398253134,0.712050553718969,0.7511191176020571,0.7025430379495746,0.7203952034229555,0.725856629512685,0.7513063313698182,0.7450189205566735,0.7748691322250704,0.8112091561698083,0.9963042515698439,0.7966469716495274,0.8079693151076048,0.7376313103940345,0.7104027413913799,0.712926437817142,0.701550797918888,0.7328817863582371,0.809344958751083,0.8632619041069757,0.9837875490370948,1.0754581908269154,0.8589463404626757,0.870951548682453,0.8762660269022224,0.7335768356058063,0.6878662339928914,0.6773748212239425,0.7414879176957502,0.8111804681098385,0.7842757689603145,0.750293081707141,0.7586054856065403,0.9099611566988929,0.9874772413397113,0.8169595592885179,0.8840620091428388,1.0968647050679394,1.0419816009548433,0.8755799898910538,1.02319920092043,1.2437284161401987,1.057207195278684,1.0874279197462728,1.2691014083358976,1.2950938850000873,1.2253654935680698,1.273243916650508,1.1742211001897378,1.4476738745025446,1.0694759389318318,1.1404999570223118,1.2925003609762704,1.2811414644822865,1.6726345250722099,1.4317524381849678,2.025466261861492,1.7801502071758888,1.5042798564960098,1.396142740563703,1.5698398501865911,1.177665172336294,1.168436574060925,1.2656820709267271,1.2690188267757465,1.2787857318302984,1.0455129778451862,1.1546526750590478,0.9390451952966103,0.9619683722185794,0.9388449357593694,0.8504078780752697,0.9937961957573298,1.1403761888841148,1.285155031075341,1.378070951174437,1.5980429222033532,1.4993584061054492,1.273737482734595,1.4351864008205357,1.6425693051808092,1.3607195171907265,1.3527172004584258,1.5497756735968997,1.5515954691976623,1.379222958367601,1.5466980564602908,1.7025575506233106,1.6104978676051436,1.5367715291815915,1.6280925082415787,1.488657864983599,1.4978922547191897,1.4187280230893582,1.4499797415352706,1.4127622378616322,1.2579659812588264,1.3797912835230535,1.2748766160531235,1.2608044433087768,1.0738024147445862,1.17267962551189,1.1739377972172176,1.011418537066603,0.9790579164222327,1.1191403219901614,1.0474908941656165,0.9224077260167448,0.9333059295266471,0.9923461257493411,1.057174204800487,1.1378142276959382,0.9006907881612953,0.8785330525005239,0.864785657591351,0.934842568435429,0.8367597625945499,0.8341765989972967,0.9812249930974812,0.8619293763833595,0.7166378109388554,0.7233559056938358,0.676559867433721,0.7236079073081353,1.0638266188996308,1.6875298265953407,1.612201516524566,0.9337049233006948,1.5166265938054324,2.0393020280342453,1.0010276121124495,0.9888818413243721,1.9503530626922176,2.3970093164211512,3.7970409128068767,5.729022486642066,5.975334440486858],[0.9604226627689584,0.9320008650477812,1.012999255477808,0.8757446168283602,0.9267123843090618,0.9966561231152977,0.881346019361106,0.9685190521510056,0.929469841834886,0.9952875450305924,1.089719279338462,1.142563899568724,1.1552008302225794,1.1354960446656346,1.38339352811896,1.3171856888168785,1.2528086488662677,1.390506583240406,1.4087220211894322,1.3870063160000365,1.4277299373307142,1.407042425571257,1.4656714401916682,1.4986566780334096,1.375115615451756,1.3444648761942153,1.388284357945537,1.3128233325578125,1.3276817949758144,1.2779256377203498,1.46090383973675,1.3487716404537975,1.4744577965471999,1.5266595051975957,1.430381666758163,1.4010635724545581,1.3288350245462994,1.340555314991948,1.285044459370164,1.251472822567034,1.2922048002668962,1.3463512924560146,1.4099589739583336,1.2966205466636165,1.3889948821259939,1.669964721365157,1.4722592805988954,1.2924830182872677,1.2494605887604908,1.3154102755715096,1.3705899085430218,1.2578987107647048,1.298893136311907,1.2563199222667083,1.4928971483225186,1.420744351172271,1.4702282527108863,1.4329073820186227,1.5045373569081228,1.4769776206269425,1.428850662090618,1.6083448723958493,1.5829452170504803,1.604025414482024,1.488876415700358,1.4645023730428839,1.6579453588816253,1.5477034695867273,1.5513155817063906,1.54087588469731,1.6732979351311152,2.0436873854257596,1.6180900737874755,1.5407398232145593,1.6067593620382585,1.7287692073890804,1.5697229860424566,1.5575477692724005,1.5252131879568813,1.4980825620551341,1.4688627082680301,1.3802081371492005,1.432659293293639,1.144210961590559,1.1696247044410581,1.2374382325544526,1.329923934655637,1.3533548148805412,1.440358192293142,1.5212633596164415,1.5638727890011543,1.6522825623391373,1.6902414111678257,1.650759149423053,1.5382589333434042,1.6733542414539302,1.6698916524567093,1.435075326796227,1.270231644572133,1.181543201762876,1.172466860375511,1.066002934433427,1.1008805511271902,1.037799729901245,1.1953345860708897,1.064385959654366,1.2237066051257284,1.0931449976526253,1.05531694990323,1.1660223968996881,0.9746242815676962,0.9531122722910317,0.9585403531710761,1.0000038766483217,1.056850607639138,1.087615404575759,1.2281183306906203,1.1956299960271235,1.420329763531776,1.3965994353414282,1.3056307963110751,1.2112035650621604,1.0974116013326314,1.0015115380277866,0.9703005937159919,0.9718314900826734,0.9929469586459485,0.9533133555496875,0.9430156956426148,1.0166951466810341,0.9952901206103069,1.0452952675155516,0.9831330001926507,1.066658168689441,0.9608840136011317,0.9615568159699583,1.025292823964149,0.9788404244196051,1.0305617658901707,1.049657815683214,1.0855080303490463,1.1414152049759199,1.221772792052502,1.164286027695158,1.2235045639854618,1.2183180040095383,1.1345007890115404,1.1238080109188922,1.0175623060627472,0.9773828896989171,0.9364473043210327,0.96112806324428,1.1297989272399316,1.8071000963160684,1.0879947571093067,1.066645233421801,1.0263300469185568,1.01827624036876,1.0655446871118588,1.0100348424514443,1.0235833741510543,1.151337947343288,1.0932462902678655,1.1168093050325252,1.1293044351934916,1.121373148477505,1.0270467600175561,1.013623328553435,0.9756552469007898,1.0103030108030226,0.993937014720327,1.0086456824567969,1.0488969171699978,1.0677943451087089,1.0730718929524674,1.070933961263697,1.1068902047519795,1.253921818894439,1.1153724217911434,1.1131433527127792,1.0702448709058106,1.033305278127708,1.025510107531481,1.0232707748376406,1.0601385552112443,1.1335034675222961,1.1939167329327711,1.303894247832573,1.3113851765029545,1.1335164981063857,1.1238862793492486,1.1636366166669594,1.0259815650687145,0.9785888973703613,0.9842022415741394,1.03982717379256,1.1098381080462048,1.0886386817713867,1.046917064383889,1.0579198574401754,1.2132417518045937,1.2773258342971425,1.1044739862909678,1.1687846838483815,1.3810929774749756,1.309627767043444,1.1469757539451448,1.3021310678041722,1.5234754223544926,1.316418523814012,1.3332789739586663,1.5287821775096484,1.5331346389113143,1.4181312383813744,1.4935779927772301,1.4036476351053138,1.6777387021871595,1.3128353505778312,1.4043121265402063,1.5695786302108408,1.5754117456261691,1.8944452928325695,1.7247626969017495,2.307836216331972,2.051869462468027,1.8435526967899647,1.7307945309554102,1.890509112081686,1.5504900136937472,1.4781238076127563,1.5460856055949008,1.5742385455569634,1.549236819427345,1.333366343138776,1.4111390854883255,1.2537350595347507,1.2380497543455422,1.1940906187412132,1.1544281262435603,1.2862083590616535,1.4432012614730667,1.5838094763010193,1.6742183336684726,1.8929643278745816,1.7971910483038278,1.5685797827319923,1.7676697553235816,1.9507474849490387,1.6443491865264543,1.6492486294702893,1.8575656609428988,1.8432095519785516,1.6695495189445164,1.848348065428965,1.9919341519772276,1.868181180952477,1.816678634598311,1.9320190703791829,1.7971996993586217,1.8120463699784939,1.728436321662577,1.7717370114096125,1.7386786813500206,1.54631733991617,1.649227577454366,1.5716044405568397,1.5476621652404814,1.371183291359814,1.4837593350658878,1.4589895667479076,1.3057370815904823,1.277205217964825,1.3881624405930695,1.325784347043926,1.1994277022049737,1.2115435779857897,1.2314011858756035,1.2852144932076568,1.2902906093222202,1.1143793731879552,1.1283425826696565,1.107160969777603,1.1121449489512316,1.0782877327748488,1.0731331744015138,1.1844709131206024,1.1528376132546716,1.0202697844933224,1.0051835144202697,0.9535279872291853,1.0088313141661824,1.2885910976345618,1.876129637300066,1.7470629228471963,1.1385813065955623,1.6802661086486324,2.150441941909265,1.1535388894544514,1.1706241493136211,2.073270000452443,2.4874036400909234,3.720023883209357,5.74255598553113,6.166536548420032],[0.6535688575203858,0.5670541841666643,0.7185058459482264,0.5604005783917831,0.5547586464591079,0.6686620512879194,0.5767395198196255,0.6860951162253051,0.6283396304705313,0.6535010105672587,0.7258576100927184,0.753806946846375,0.7545104691761818,0.774326825069078,1.0025551580543717,0.9096116473810062,0.8853989087271169,0.9898776748757484,1.008666205454268,0.9803285331326389,1.015788309688623,1.0195784396620715,1.0818750231958112,1.1390397008678506,1.0148961368926843,0.9730240253773341,1.0274490166123824,0.9378516446210525,0.9464633322673283,0.9262346234479077,1.0621571874416207,0.9928645959471745,1.1433159247125675,1.165192248159038,1.0731850109446857,1.031600537898538,0.9627147189608387,0.9725676602784848,0.9132807831400701,0.8917985061093808,0.9127722103137009,0.9772816093854834,1.039132703432359,0.9048917815286119,1.1205428106690902,1.49556810106457,1.3450844044680237,0.8996785038225057,0.9287462670924259,0.9989980940188584,1.045575631242039,0.8943998780961794,1.0030247105451278,0.8984706869666703,1.1845478315512363,1.0734101042096604,1.0892783068877914,1.0794243982404006,1.221529859627662,1.1342725437823578,1.1166368774091249,1.1892081244106223,1.1893796527068945,1.3242781699425585,1.1332771241599804,1.0986049553240802,1.2352342234586082,1.1055483549363452,1.1397809460336632,1.1149896748854549,1.3165225285712152,1.7868137636325176,1.2445492226594588,1.2222765458802038,1.2028726482072933,1.3396404955249872,1.1739682579146766,1.1884980600208217,1.1648504711670893,1.1417915525084958,1.1270798374257656,1.0736441003544293,1.1829018220697045,0.8187184646126237,0.8335912033299601,0.9101883170100459,0.9970179803125144,1.0549766394401927,1.069783521052538,1.1900664863334818,1.1620918954821295,1.244886055009403,1.2749463648254613,1.2427678406633922,1.1328652789327656,1.2579408502136629,1.2494001223493167,1.0271255870322868,0.8692346060296007,0.9219919929074184,0.8418077715457649,0.8255001024454943,0.8086449188312492,0.7568913100574277,0.9372235180895856,0.7408288704386019,0.9239345579433255,0.77248117387515,0.778131791517582,0.902517542544251,0.674797461300316,0.6259738498760782,0.6204201382911818,0.653750988452175,0.7126844949177926,0.7478125436698208,0.8670382456782542,0.8535879244354789,1.1225691329429994,1.0454244415292315,0.9524874070499628,0.8513267180415629,0.751345028176398,0.6716654472999684,0.6123554221393728,0.598711135256352,0.644446624910645,0.6326985071403417,0.6280240574839503,0.6782490917929078,0.6368163909957926,0.694862984831323,0.6381282088635558,0.7973837283724321,0.6329630467042323,0.6397330842290865,0.7367956101672494,0.6637583437499648,0.755113045281593,0.7446760330762244,0.7590197028702396,0.8288681580380338,0.8938691019437304,0.8118509199578204,0.8577722162649624,0.8465278472019142,0.7847667720664971,0.7809676754939525,0.6780048262432039,0.6587487001645387,0.6585996975344205,0.6789554124726309,0.9595842240759084,1.641467076504777,0.9923696214590468,0.8168210187193182,0.6971167172866747,0.7217889687840342,0.7533345070891849,0.7267884551011634,0.6951650400332391,0.7850121638555156,0.7410601964791005,0.763345290615683,0.7892102937687181,0.7928274018611158,0.7137245594716668,0.7004462096202034,0.6480143747777072,0.6767641209624612,0.6486639487981115,0.6721168707792744,0.70985241591586,0.7214511894596521,0.7439484644849638,0.7828976513791797,0.8118311308707818,1.0363362971029586,0.8180618700650193,0.865779175477977,0.7379207736798291,0.6987647601653771,0.6907058049661545,0.6881737113940238,0.7190961086318093,0.8083405396884682,0.8449832290767194,1.0109754215606634,1.0415753128299692,0.8119473563836056,0.840506333655754,0.8790957463908532,0.7449073534315908,0.6417573668829988,0.6596322190694343,0.7304730948441233,0.7620510809718353,0.7218939267970051,0.6949264934793201,0.7144426141228405,0.8574230626802748,0.9410309994892706,0.771922469676689,0.8275789252682288,1.0456410750463352,0.9880607623520239,0.8328313492875209,0.9748084947814947,1.207188470870776,1.014275598921721,1.0551189757272987,1.241776201016153,1.2662223556186978,1.1885104509530664,1.2552921175703833,1.1471123053444157,1.4228359155561343,1.0412440014545181,1.106795800130426,1.266075892929663,1.2567241680636525,1.6638530332610164,1.4143217733057223,2.0109390379247447,1.73672800815652,1.4837324416380553,1.3644422525972364,1.5465407576488368,1.1444449935475922,1.1206845144155047,1.216908849120736,1.2164178746912004,1.2202497040287243,0.9716808744003927,1.0731416023934364,0.9051606059756806,0.9450627192156187,0.9462934318362534,0.8086550731891602,0.9185047389745543,1.0864289066151585,1.2317406135841595,1.337443140958915,1.5847888017880412,1.4786366378385236,1.2255860032600463,1.4168700160887664,1.6416426029964368,1.3246509404424462,1.3268103714143007,1.5477056341495397,1.5424046824387523,1.3503811371141623,1.5377534665940429,1.698023368049942,1.5853085615798936,1.522172643806912,1.6366158590742805,1.4744532018110046,1.486740778369525,1.3906957361870458,1.425478202132152,1.3980547844879714,1.2205181132878065,1.3366345828571262,1.2383783285233874,1.2229287828149922,1.024205970835083,1.1197274307266998,1.1364975640495678,0.9797406140218633,0.9357327515338508,1.0625334766420165,1.007364898883059,0.86721735017498,0.8788378882711408,0.9504423786000542,1.0591812645630343,1.1465377350247932,0.8797746352061202,0.83930596221536,0.8275493897468897,0.9056329563450574,0.7928020273470332,0.7951072631871635,0.9222178124876907,0.8016030493565992,0.656400909854368,0.6623423105940152,0.6099284409688714,0.6835414693977627,1.0171953614733658,1.6411780103887188,1.5806538062354052,0.903802154167729,1.4836255369139544,1.9947928332639673,1.005040540374133,0.9894997273198043,1.9196760420860002,2.3409475976790874,3.7354906588755776,5.6967739104186625,5.929831554684416],[0.7250785984765156,0.6667456045058011,0.7974808535043663,0.5950634309615396,0.6451600590179348,0.7426672509038402,0.6281834003055091,0.8422994874067267,0.6921437406224743,0.6772773876499724,0.7622143334722941,0.906939541204733,0.8578191154030191,0.767538558218719,1.0536212350523777,1.0196136167031558,0.9468419422326014,1.040462094114399,1.0064445952579348,1.041600414779642,1.054628086032512,1.0840044828975155,1.1059139612983315,1.1528556074203353,1.0641544150509958,0.9838404248011886,1.0643567470667035,0.9867175499417289,1.02302317099616,1.0658413071229178,1.1820810362527248,1.1950344824469825,1.3790926679286153,1.3880652242463911,1.281393124553221,1.1815826671631033,1.170803770463366,1.117067414363744,1.0423504110809798,1.0557079664728233,1.022238661116172,1.0724146052722028,1.165982107135911,1.0044635131919377,1.2137701752305203,1.5964519035434097,1.4482089425876292,0.9885027511487251,1.0493104433845102,1.1141233829293027,1.1713089601384716,1.035088924274386,1.1542668535656848,1.0389586980441057,1.3250474124174354,1.2480289890672103,1.245826362717587,1.2659130368328746,1.4049593812284749,1.2391306328048264,1.2322631248935978,1.3321276871724703,1.33645590697268,1.4396823818619144,1.2367582785762425,1.2035673544927068,1.2597357540528673,1.153924523154751,1.1460647632836454,1.1084586777467875,1.2913831161376852,1.7629327350773711,1.2174954577136392,1.2306072749637442,1.2657857504668077,1.4144501790989428,1.305576698482776,1.3761122472241347,1.3558006429696587,1.3215102987548735,1.368274064686013,1.2999131499989283,1.4017555589913075,1.0455595854735424,1.036708571056646,1.1097988917671553,1.1765016884961932,1.2795834109447728,1.2312497035401133,1.3850365109480522,1.3166557580457432,1.3854321622396288,1.4207440285371007,1.4162566057002608,1.2666038437214768,1.3698351002501723,1.309901903952574,1.231158460325924,1.1044428013525736,1.1900271870956485,1.1373334076681014,1.13040182023983,1.093826686838924,1.0160778260227983,1.1966343001943138,0.9613741077347386,1.1332094881511054,0.9238300421146627,0.8765418353029261,1.0177317431824302,0.7933431483813512,0.767803194656073,0.7296518189447323,0.7163456440792634,0.7482538972538043,0.7323623489794225,0.8679694319713799,0.8215865898714896,1.1116583591290705,1.066986767124085,0.9312408288669477,0.8318073738076585,0.6886739579746014,0.6353252372490095,0.6133175124635474,0.6438599278333004,0.7188853164150706,0.7119915673600986,0.7316253436955047,0.8315016231088952,0.7594121508191396,0.8640391375043455,0.7823396508999259,0.9493425501047034,0.7628488427053228,0.750288004036391,0.8346968870950896,0.7065256668288997,0.7666983444083242,0.7572520236910386,0.7486475484638655,0.7972690641866981,0.855218738935438,0.8276983533204677,0.9215162223046771,0.9270110147295679,0.85367066469097,0.8868928789767275,0.8460901209456049,0.8129609227776725,0.8507212091586529,0.8741013797996133,1.1728186153212108,1.7715458917475364,1.179837986610602,1.0779862406630223,0.9425956997673522,0.9600899063972842,0.9603382441849555,0.9321872378026953,0.852371829360368,0.9243924244146826,0.8387089684177225,0.8978012676324744,0.9030180635061347,0.8448043627047005,0.797733757976753,0.7638386620011957,0.692633291639541,0.7247627484115301,0.7178200818250979,0.7246711239489101,0.830377874431131,0.8803214852290809,0.9285247332943832,0.9968478063666364,1.0176746056108776,1.2437204362093892,1.0263468189120952,1.0819709105518955,0.9255457199555831,0.9103144667623427,0.8895174972994268,0.8780393674866969,0.8915725580066275,0.9782333012644017,0.995833179307503,1.1151565995699206,1.1366039017560956,0.942178723869647,0.9541348232381617,0.9764599879321203,0.8422136966388295,0.7562423633880688,0.7726616747612491,0.836485520409144,0.871769915360327,0.8369366681415283,0.8188248833389595,0.8563995268134192,0.9898815871800791,1.0581343750689205,0.8957198717898791,0.9546632270680165,1.174113781511129,1.1018160095568137,0.9396299483923759,1.1179116527431634,1.3455394961323774,1.1248515817898952,1.1592045204100283,1.36142790371319,1.349177539594346,1.2460943151091501,1.3647504111205009,1.253494132747817,1.5679073814561448,1.2178278365823656,1.2707464406067859,1.4318132009399596,1.4213398733392217,1.7717783081726448,1.655821193732483,2.168765258455964,1.865034616592569,1.621898632543369,1.47875539148988,1.6483034560249181,1.2951163447227332,1.269549369148158,1.3133796225651242,1.3137757295610233,1.3933685198762427,1.1334677438885516,1.204335034024217,1.0773476909571746,1.0926291445961471,1.0753223644576608,0.9506030977641151,1.0478225752511021,1.162476480880661,1.3123972386752136,1.4243934417083615,1.6848584043901504,1.5484899493850999,1.314806824093179,1.510781301881511,1.7047697497279723,1.3815700524648054,1.4239886604161898,1.638806053973966,1.6255908876997487,1.4576801791788088,1.6706595645626108,1.839003035043737,1.697858958937538,1.661859835330521,1.7918675253765595,1.628769114297557,1.6391635417711035,1.541866507789026,1.584673464053902,1.558044776744051,1.370432587482446,1.489866204823074,1.400897633121275,1.3735877806210672,1.1655606793435391,1.2856052172341452,1.2937394839869516,1.1216964730145607,1.093926963670565,1.1954965971081322,1.1495126113193936,1.0267008080848914,1.0141869901853806,1.0816159963977663,1.1587601915153836,1.3161012585322278,1.0144720433131489,0.9783674620945045,0.9431375911007036,0.9948665618043695,0.8902606233191913,0.8822568310148322,0.9592286976672882,0.9216359444907285,0.761295709611206,0.7656012664281626,0.7070190093693604,0.7687822499726045,1.1397635187056816,1.7422994823666675,1.531486734209481,1.0151484786194167,1.595159198980826,1.9757838732659592,1.0493472452259098,1.060058356279359,1.9870098859449072,2.2829779652603652,3.4666978182320767,5.440307610627928,5.698735229086908],[0.5393524596101572,0.4618350325409498,0.6429773407469297,0.4437439067132842,0.4503473203191666,0.6183533695258715,0.4381622863576811,0.4723117179949983,0.4301036583404928,0.40309939864210703,0.45785748512567986,0.5544913793059981,0.5145164740948127,0.48820695525789737,0.73403993980991,0.6599978077713623,0.6299437407739856,0.7220965180117518,0.7256944319212452,0.7189383648867971,0.760481922895757,0.7453720974851471,0.8664917681542336,1.0020127860756292,0.7523195225867684,0.729654281248239,0.7736826848148816,0.6694036107494121,0.6877077813727495,0.6854629029184536,0.8254931209290073,0.7812232447812414,0.9540091313254618,0.9915766663790285,0.8621700290915411,0.7840719848784072,0.7413067791261467,0.7146714733854824,0.6403236829180909,0.6387178561013223,0.6579873775809824,0.7670849296147249,0.7815689258097905,0.7212263175595395,0.9917286391752814,1.4040436459237682,1.3107165989032976,0.7858599270470611,0.7783221040905673,0.8436344479109602,0.820387072121346,0.687712072231868,0.7570543406183222,0.6648938016695712,1.05220767117753,0.8219123846149224,0.8521421236368586,0.8490968532244747,0.9974382765794212,0.9583575382926949,0.9033581368911996,0.9640755420595178,0.9860640400687212,1.1140337036858579,0.9049416202727109,0.8565021911116465,1.0144172060760412,0.8677727794445489,0.9230388806261622,0.8629324620806931,1.0904295514496793,1.6209990265723284,1.0321137056314549,1.0552412125254682,0.97199535388784,1.1593994611403107,0.9644311232172731,0.9958828542800753,0.959394653428633,0.9152504675762033,0.9323381415372752,0.868106778700351,1.0358153161264838,0.6073726217308285,0.6054126398197017,0.6757973605844992,0.7687918938919127,0.8551318124325618,0.8375244941787756,1.0331020047780892,0.9653649527388253,1.0543122082434593,1.0654818723717157,1.0624786351204194,0.9196075666122154,1.0509418593654365,0.9773380753466128,0.8281055786952657,0.6905636515561756,0.8319630894619255,0.6705182693031979,0.7157076931287908,0.6358494623075791,0.6114730301700216,0.7578419149471703,0.6069044062308204,0.847480362902515,0.6738435910473428,0.7030775261306502,0.8950128658854496,0.6060204630966983,0.4510551386629726,0.4191636784627002,0.4271399947743288,0.4737421790989772,0.47659600366130844,0.5938714654729589,0.5668487108867553,0.8933591458942832,0.8031600880840194,0.7021352434701283,0.5757808720415406,0.4907197384750853,0.4592498279880957,0.4289412231009075,0.44353376058057925,0.5372815421850036,0.48219526093960813,0.4922202663950972,0.5601658221789683,0.5065545808948405,0.5958615957019027,0.46610543155106693,0.6657764425837395,0.43989943120916786,0.42980918327568557,0.5895429825880008,0.48106313650524646,0.5490436787466862,0.4916541114515229,0.5186599763234916,0.6122915916673066,0.6525646886817478,0.5548527712970515,0.5741628698034297,0.5712701886300044,0.5058801095704449,0.5283419406613836,0.4630725881917469,0.4671867042901645,0.5150945156788838,0.524824874851173,0.8377659398048776,1.6238400059425486,0.9565685303453781,0.6752569934786494,0.5474183130759426,0.5849559291210915,0.5566240222406377,0.537898924521816,0.4772178510344901,0.5397008052961881,0.4862655302630416,0.49879374388263703,0.5287681770416393,0.568901073007868,0.4620337597927821,0.5035638607226661,0.4944410690683702,0.5009914455647916,0.4475142582826192,0.4437611849969504,0.4661297270407813,0.49041632111701144,0.4994627858280643,0.578172402167902,0.590253012479435,0.8731596999740651,0.5817784088001708,0.6420797382294977,0.4981049371289173,0.5069821431990308,0.49574171373878834,0.4772384129935538,0.4904531399888472,0.5334766649817793,0.604260890642179,0.7557013250439235,0.9237237325609646,0.599969062443292,0.6270774864724272,0.6614782620333007,0.5266156280585453,0.4627297761847938,0.47017161841226124,0.5322796191344331,0.6132135449709276,0.5930864574094721,0.5882223967523166,0.6243461066390077,0.7857249792169648,0.8722786363221435,0.7041606498130174,0.7808489301594026,1.006438432254768,0.9610518038747569,0.7600823154640081,0.9514077425460139,1.1758574706279497,0.9999179359941891,1.0555126658952088,1.2441918593314334,1.2669083138474082,1.2042724223718801,1.2734128916108194,1.1537748755367898,1.4015474368206753,1.0281675392114085,1.0894901130450274,1.2472216661656303,1.2345192467920219,1.5029162151534734,1.4577090498033616,1.9825962765776277,1.7221769916325647,1.4242715449715349,1.3006293526121548,1.4738831266002577,1.0289330594514536,1.0588599736935922,1.1665818750491108,1.1616150547585113,1.2229372053963314,0.9515603915768462,0.9936375200994293,0.8228198329198109,0.8393663854244946,0.7777780180965261,0.7215428338213239,0.8524374694876627,1.0557033891044227,1.1705936444926355,1.273109849015941,1.5110355372643178,1.4081208124933322,1.1854742687551243,1.3444507722359107,1.5963422011139863,1.2694186328389063,1.2729369618610022,1.4836939970663958,1.4890642568113854,1.3106399383882297,1.487609759926103,1.64311772141998,1.5435076648896493,1.5042711574766765,1.6099616830849448,1.4349078185781734,1.4351625486144737,1.3491300710183405,1.3717907487966208,1.3415291893255412,1.1889013162791413,1.278141511965408,1.205114509289957,1.2017407546848062,0.9857819549258778,1.0789084300151828,1.149343340538971,0.9371665963499662,0.8636681779011693,1.0274168083913944,0.9940274886639445,0.8639655920856901,0.8219130405538803,0.9280599267049218,0.9977032253419774,1.2352358081007606,0.8751867947696254,0.8039910820601344,0.7976975319304814,0.8709639612417555,0.7636632179560799,0.7605958154043042,0.8424876972054215,0.7050984199634758,0.5243114398768323,0.5697841428604218,0.4881585192880719,0.5262833379006706,1.021849125681067,1.661453504779491,1.613944157154368,0.9569206311283335,1.553481794031857,2.03694031988921,1.1038431889978466,1.0611819503368536,2.024713229828191,2.307209647950359,3.7343009760466095,5.5972235633491625,5.57924306828429],[0.8169281693114308,0.8008154642459405,1.0072272304819692,0.8525423259390221,0.9194316312860209,1.0427951018706294,1.041507291582006,1.1967951126427987,1.1395006663243294,1.164975953023393,1.2595156435423767,1.3996012898853205,1.3410390971526955,1.2494066702238804,1.4714934667345065,1.4877832968294757,1.3859735575449406,1.4372024131364287,1.3609301168280534,1.438031457366703,1.440153177039389,1.4595365274948653,1.4454459392018646,1.5508752141023474,1.3798636954844004,1.365973757065459,1.4544417475038316,1.3721249942349538,1.4595680926166177,1.5091365846720692,1.5945425775162625,1.6268864414312745,1.7902161317323448,1.790253470747027,1.6875184714014912,1.5837125196649922,1.5716574973560455,1.5044749666481547,1.437714787147047,1.483399327444379,1.3896225389979575,1.463081836642825,1.5273467434301242,1.4307102078303322,1.5289776362219603,1.778334202144846,1.6911478562975368,1.4754863171042951,1.401093175925632,1.453055583562802,1.4904293085853175,1.4140524206814509,1.4978673078999085,1.4981982779350576,1.6077890554777339,1.594193477313977,1.6114214811704255,1.6418192661742093,1.7502787289534507,1.657795461245728,1.585896079321538,1.712749026924427,1.727133934380609,1.653506903618231,1.5918335612952355,1.585549538468467,1.5884575027022425,1.5353513611959362,1.5168589851666472,1.4792321276713079,1.541060632765692,1.9331877568646605,1.5600361309540358,1.576823583708605,1.630844059480047,1.7464733329473672,1.7108714605982642,1.7411565470273482,1.7363243829977182,1.6851045443012116,1.7376413467782474,1.6783463864510173,1.8145189800247743,1.4853500196903162,1.4808188833413782,1.5470262704394788,1.573482061918491,1.6782378153640185,1.6355561016779254,1.799186371078155,1.7324390744699318,1.8260558308651982,1.8038149980847087,1.8147191448741185,1.6851103453122314,1.770249615951511,1.6306825480546028,1.6602864017351864,1.5717660879753,1.7021935282302096,1.5813027587361919,1.591481191878014,1.5309645441991384,1.487778345448968,1.4920097061615698,1.3598175123005014,1.4921389328606003,1.3339947250923871,1.308395866632078,1.4878027237198772,1.2365569776500278,1.2139861075054175,1.1604106878454585,1.1798866302251108,1.2408842682534857,1.1958639773171027,1.2811382823717585,1.205527746581976,1.4274611997389104,1.387359495053648,1.2699206022203133,1.214170813782992,1.1216555744162766,1.1035428269690164,1.0714543596982462,1.058225165597629,1.0810957681019764,1.164589628190085,1.1549660202428234,1.262510643641276,1.1579573022806302,1.210011645966478,1.2019431529942666,1.38722625819152,1.20651126761585,1.1850240961663572,1.129879021408482,1.1290929598879929,1.1892819471941853,1.1649595126295749,1.0847026124437624,1.2851651327920794,1.3334835811454289,1.2729527948940293,1.336731075020976,1.320688640824942,1.2844484942991297,1.325847114113046,1.322007458841374,1.272227494503071,1.337206978505383,1.3723047101401693,1.6623963593795752,2.1575546996075396,1.7660917314342606,1.5640757253902744,1.432977113300834,1.4637627430008386,1.4465408079735518,1.3874700563427573,1.2925941851825848,1.3984719426653307,1.251709718640525,1.3298693595616682,1.2622796651746644,1.2566350278397553,1.1974874345402295,1.1773856708683312,1.1246741480203453,1.151972113873445,1.1416315933761945,1.1703440078414122,1.2621826682456936,1.3360153951956975,1.3947056807940217,1.4447234102440087,1.4855652982531855,1.6997241897338575,1.4931362646005417,1.5008604827287257,1.3764262715985414,1.3719943498477039,1.3482923076530464,1.3285023535088913,1.3134984928669111,1.3276339953861835,1.3824750023394436,1.5002543302954325,1.4411658178458435,1.2889621678520782,1.2519418955203836,1.3190645664396694,1.2808891940122806,1.225482710233528,1.237683252035354,1.2192155044329935,1.1984278941042648,1.2108328082753121,1.1362090963366231,1.151952786352431,1.2714475968438794,1.3498653921647532,1.2126323521485358,1.2170370395590215,1.3707619981249473,1.3215571767494843,1.1605384998982857,1.29080104032513,1.4808342841966364,1.3063308113308252,1.3446930913384691,1.5095579627185578,1.5062008034602465,1.4422099724608104,1.5170886025375616,1.41375890698119,1.6519205165350466,1.3103682934293623,1.3947493848222312,1.5342543323484574,1.5239419892887953,1.7993210199232499,1.6953873125065524,2.076206952434609,1.8957866281100242,1.6290819856348968,1.532130703781285,1.6639557683902244,1.3758525475408359,1.4517954193953038,1.5371126641239532,1.5241279454012622,1.5989696504422755,1.3909668491748663,1.4515494469938837,1.183049104063299,1.124002527383928,1.104533912261545,1.175240800816746,1.3558801204196125,1.4182628490842273,1.5210994106037927,1.591014089847533,1.8039531573902357,1.708748389379339,1.5307514876144694,1.6492107120505735,1.8765516341334987,1.5962583236848307,1.5634089357230772,1.7304468718211925,1.7272230444150578,1.5801882609516755,1.7419784073902682,1.87968753024484,1.7685631640320616,1.7586435686059831,1.857759864742354,1.707097938508764,1.7112616760124362,1.6289943331490997,1.6390982630664443,1.6232395764753471,1.4968241465887364,1.6121383983775577,1.513552235593603,1.49955483181458,1.340753207889824,1.4129608960967532,1.4761384568023501,1.2750273376906995,1.1993422304145025,1.3810972519275284,1.281082296592935,1.2217567103386822,1.1470688514296656,1.2051792285901373,1.1779055585081448,1.4461716674752327,1.118790081446326,1.1080818597147188,1.0957084711086724,1.0659013769734,1.0620468829764445,1.0700681830711538,1.1798998627227046,1.0768697936242648,0.9738847578012928,1.128241205991411,1.0717979457780802,1.0716759568556704,1.3942435102893513,1.8479561943151424,1.9346273378877723,1.314022138966924,1.7304359370086955,2.1300885089024653,1.3785172715016356,1.308619856316484,2.1039195804439026,2.2911593499572236,3.4870271460128657,5.329093935919431,5.288242679836804],[0.5823050045929622,0.5109515271031652,0.6621113741819318,0.45020987527768397,0.45151822371289974,0.606242446358458,0.39427889162399893,0.44123846126171096,0.35227227553460433,0.32408267836905524,0.41254467482001905,0.5193071758751938,0.4615476568388475,0.4375839200899885,0.6727884656464851,0.6098925835677996,0.5852970725538406,0.6695750474296234,0.6719315071282081,0.6633504443964802,0.7141818187297181,0.7009896755740752,0.8514493777643686,1.0027433548175972,0.7099255431373225,0.6843127969007468,0.7058872428527598,0.6131601306513559,0.6204732329295698,0.619783335742937,0.7835755737188883,0.7162301839658981,0.9019002292905894,0.9415764725515438,0.7985439512971628,0.7241902040700743,0.6688632102671583,0.6376607134755948,0.5627164937493511,0.5521835428237345,0.595826871904272,0.6933807854357211,0.7000331729524982,0.669971931369613,0.9818030565947379,1.4089538363038367,1.381669178815203,0.7816305083164035,0.7578717461969312,0.8319087422888061,0.7707357627065172,0.6606279320361443,0.6929904320875174,0.6113825991206601,1.0221085925359834,0.7500494825359426,0.792489663138696,0.7922672102631414,0.9390693543242391,0.9354994546200621,0.8445324635650721,0.9133272954428882,0.9431992946533677,1.074880096399472,0.8678273862768389,0.8202247722169134,1.001149642843125,0.8257645624125365,0.9018897926527827,0.8041157902676206,1.03944826803834,1.6147540044084137,1.0002069470666213,1.0697816215600668,0.9346967579299715,1.1539730134410187,0.9272003867143546,0.9634632986393412,0.9082251409873143,0.8631948073496607,0.8508533332509922,0.7787059802448973,0.9634427373923932,0.5361318590961746,0.522274521842892,0.5884186922845313,0.6942418510584059,0.781170543987579,0.7778905052180783,0.9634523555018917,0.9219608157564874,1.0333208799137088,1.0301115018671951,1.0217112590992792,0.8735080711263146,1.0040305508688276,0.9278168301454658,0.7770638155547196,0.6381071839132422,0.8068016484850266,0.6215694565561647,0.7058161521339752,0.5843623275587875,0.5745185759154471,0.7215444234243925,0.6194775279129181,0.8739027559553714,0.6741895349944739,0.7087544525720548,0.8893343357740342,0.6252714478437327,0.41431705803506685,0.3715264518568864,0.37726350969048805,0.42104078643440407,0.41435244001564187,0.5483197039870028,0.520774996931662,0.900320070432994,0.7830850208541579,0.673048085995071,0.5413744265595152,0.453122582405148,0.37139565140418096,0.36063098312691716,0.403516045729572,0.501941484451457,0.4347620554675532,0.4615318218626267,0.5394719057575864,0.5084829764061096,0.5940016412536391,0.4516245355688916,0.6221829403530593,0.4056764016161154,0.4009745916444708,0.6044326253665238,0.43546094858323825,0.48239987915716837,0.42814696217950926,0.489009921118593,0.5440713346017054,0.594027342331096,0.5132166647308424,0.5138829114218536,0.5015967017541068,0.43930354754296824,0.4696522096067603,0.39413845971127603,0.4158985204594245,0.47398299396185345,0.4953269413709583,0.834170675607675,1.5684928177363715,0.9237767392123647,0.6587705501014629,0.5107236491964809,0.5408569912766117,0.49840058980654234,0.49446645507966447,0.4093572206053183,0.46546528377358026,0.4179962725409138,0.4162570099343818,0.4933670126752368,0.5207245165474644,0.4104373515025211,0.4663521467509066,0.5222683325663435,0.5029717830650002,0.4309288928363593,0.3739799465452977,0.40288012615605484,0.41444322071614237,0.40812153754049685,0.5159511888208334,0.5417371920704038,0.8310181150264454,0.5122559954815096,0.5806075792533759,0.42395025047230883,0.4444910877808197,0.4306559797904812,0.42556090584340833,0.44336281878036,0.47060428991259984,0.5359354084762346,0.6660729525795726,0.9230067843572146,0.5747586225189161,0.6497877313468935,0.6257845889932693,0.5019233501661355,0.4509320276250606,0.46535592909071233,0.5440979130188126,0.5900189356529617,0.5850530355914596,0.6352272286579967,0.6573978574414809,0.8331123527000471,0.8994868769225663,0.7309432224794217,0.8408740597244929,1.0609899227652682,1.0109087825116998,0.8399866926068967,1.0360693965644705,1.2397321817493092,1.074144265454292,1.15453684292219,1.3345716623414237,1.3194891916989306,1.263347803143182,1.3789758472899876,1.2724361398183397,1.5337045549909718,1.1901392868840506,1.2162306554706723,1.3635817859202979,1.33984566512694,1.5037157858696693,1.6268231050460857,2.0534176746971995,1.7713183300219069,1.464830395667271,1.3047339846809474,1.4352092815670923,1.0888812162496884,1.1198531571072061,1.18334975794381,1.183327189252434,1.3083944454668068,1.0047696734054696,0.9839994169037084,0.9408573502075672,0.9560372687246945,0.8338026728677245,0.7820536412681848,0.8332166070105587,1.035627938250097,1.1682020939952116,1.2492934635126058,1.5058882193564398,1.3753146495270336,1.176133036235251,1.3464431388325604,1.5734301377840783,1.2640702739548288,1.2905469343098197,1.496825657926521,1.503006995160691,1.347617599570196,1.5380254721707327,1.6858264464617068,1.566608364762584,1.5716836913974475,1.6865300780827546,1.5214077085719857,1.499980098159307,1.399928031922101,1.4221117964316334,1.4226347726884356,1.2664516914641009,1.3490090631230005,1.3030024332471044,1.306490150582695,1.0815069937585995,1.180496552976872,1.2895575896160612,1.0594130371149781,0.9889616381100574,1.1069393947282706,1.1060061059231845,0.9752595687540575,0.9451982660411783,1.0561450735104037,1.1143560442558662,1.4212486676286917,1.0012512133671676,0.9254446187572236,0.8992774637785433,0.9550713570342051,0.8566502120967554,0.8568301426935919,0.9200637286633189,0.7983520984932886,0.5707872682416095,0.5980760358968834,0.5161379092360293,0.5465937998529553,1.0726009160101044,1.6922935745210121,1.572408673539688,1.02714043034014,1.612121547497518,1.9897433606146038,1.1467488821763954,1.111538067639804,2.0314578590251116,2.1354338703420233,3.4607748438432813,5.242837712888338,5.047277076431154],[0.5439175149937859,0.47275747809077023,0.6233091961646986,0.4123550816640388,0.4588383984129573,0.5940692430112834,0.3866823215489505,0.42596006550309257,0.3540025378134825,0.30704532714047605,0.3709003110438744,0.4898739506886155,0.42932195572231,0.4069319340960797,0.6141403058802943,0.5631270983985012,0.552715171009995,0.6321185136941236,0.6752307596443388,0.6483003558024916,0.7086035131891513,0.7014018256015258,0.9037042011538033,1.0776474424357048,0.6995357622947165,0.676147067180992,0.6916342579433564,0.5746734934692059,0.5797648291692147,0.5691864822588016,0.7423175356535258,0.6691171463834212,0.9240403779592727,0.9116268341918717,0.7674203365346316,0.6970465211376199,0.6312896179525201,0.6016423825369871,0.5378382314164928,0.545365542000435,0.586968988019971,0.6961843098098934,0.7057698075691105,0.7064672705684629,1.010632591056854,1.4078896192366053,1.437867564297927,0.8261408191650277,0.7628319100492783,0.8667031100885181,0.7664129836007325,0.6830234233623034,0.7018652951565575,0.6167845275111524,1.005091358534076,0.765957134468433,0.7987738798553418,0.8027887619294762,0.9589621742821088,0.9800462063073355,0.8723302644171599,0.9225086883332918,0.9542724653395434,1.1301493523795856,0.8936357758962539,0.8057830874897947,0.995810599873403,0.8263106745604848,0.9106100914558123,0.7828290460376981,1.0211021757908298,1.575448744244059,0.9663716491352701,1.078373509982034,0.9187909676804783,1.18598820414316,0.9338214619931627,0.983398278887119,0.9157020993214401,0.8687361830528599,0.8372553222334731,0.7651772078958331,0.9333137479762587,0.5293604651881593,0.5097958245472863,0.5701534161895859,0.6795204472063668,0.7684951105990945,0.7694863949558023,0.9455412716652153,0.9196256127158967,1.0383408716852396,1.0181775672332636,0.9924910883203811,0.823357483775098,0.9369254294120462,0.8133031024043424,0.7146170619284046,0.5749547254579417,0.8017555587461915,0.5794271755922472,0.6612115491859474,0.5439162333475164,0.5242919748922761,0.655082276269264,0.567239111008065,0.817393532924964,0.6292361496967711,0.689506060863981,0.858827322549742,0.6068588010736592,0.3909449254514239,0.36915985136106433,0.33465661522068335,0.37931656113398043,0.392852555991545,0.5283169699565812,0.5260634413464775,0.955503968015238,0.7547053252646512,0.6777024653022932,0.5234716311053065,0.4512589470442103,0.35532142710914855,0.34800141499500525,0.38599122501169064,0.4993518869794056,0.40984574247617145,0.4380973565888334,0.49836225251497174,0.4596162612407308,0.5515776187909766,0.3893298095181528,0.55880725366614,0.3639540465669308,0.3584204258753278,0.5636366790133087,0.41112387992037125,0.4430322991814534,0.404703517110539,0.5176790798484155,0.5590718850208792,0.6006455089172444,0.5208542591394341,0.5122273124872629,0.5005919785236822,0.42968243102456216,0.43288112451300087,0.3657926893224018,0.38454464775659347,0.45888466318618637,0.4798453973328596,0.820085686194484,1.6018688378929071,0.9575664814358457,0.6468317365698114,0.47125385925643526,0.49610986515777483,0.4635737570070198,0.46406455383504563,0.39126130485354615,0.4367313525333491,0.3982041852949832,0.40385453720483155,0.4774452364610884,0.5206409980465958,0.40942281878666487,0.4635458372856199,0.506716652192256,0.4841755873134722,0.412726536017312,0.3577606681063782,0.3680251505582763,0.3840614387758798,0.3818657066104303,0.4745064469992489,0.5068299325285816,0.7951583751085597,0.4817084263443352,0.5361931858150424,0.38888658083315525,0.40968851390683364,0.39102835699327165,0.396955805464551,0.40656225564448895,0.47806277218017706,0.525478311847586,0.6719719732088335,0.9205165829293203,0.5850941962065925,0.650424153474836,0.6460477437182475,0.5077435112018049,0.4381621887379933,0.41618136345473467,0.47661869312849764,0.5322189471563596,0.5249637442869105,0.5907402170868056,0.6307428198930727,0.7841510767308312,0.8660992644133179,0.7020748394873901,0.7956650103760717,1.0173300849757752,0.982973438021945,0.7913533496450352,0.9861050622561482,1.1978978336610635,1.0344244674366936,1.0999068765536006,1.2819223464013925,1.2835208720248665,1.216439552346545,1.3230902152542183,1.2111399075667684,1.4711317591945554,1.1349654180537607,1.1499412562544098,1.294349787608367,1.264492404113699,1.4361222195306993,1.5642587299294635,2.0203213114239427,1.7232390396934365,1.4201063529156615,1.2787273143659788,1.4046515848861083,1.0239837118175934,1.0387124823256195,1.1347620421943159,1.1172100901957869,1.2281748760323803,0.927899120590052,0.9195932083389912,0.8590467931999303,0.8905440121552805,0.8165426895722736,0.7257343168191115,0.7957943457938708,1.0043842427387293,1.134086114909638,1.2354473590039075,1.4827001867960532,1.3762157554733452,1.156270546109978,1.319395264081842,1.5599474654523886,1.255088904100717,1.2712944381158011,1.4771820568998273,1.489445319901115,1.319536761132038,1.499680941444595,1.6552419488876606,1.5423847657233027,1.5282224043458603,1.6413969707235099,1.4691559108786718,1.4507787236324625,1.352716149303085,1.3723057355611699,1.3646278221672072,1.2088080439495663,1.2860507105875265,1.2330513348011887,1.2349127750145081,1.0155260915958397,1.0980746562505008,1.2314223526954005,0.9990388498948517,0.9153894937456675,1.0275853260231491,1.0274676348535192,0.9185060689444197,0.882565403174568,1.0234359340069223,1.0663185435122189,1.3716699711970566,0.953492374195351,0.8676466422271121,0.8451863956632569,0.8993361535533353,0.789520141207476,0.7989171887838269,0.8567670782944322,0.7436154682915604,0.5589282506229102,0.5584042064008343,0.4942762203313385,0.5281490071143898,1.0560099380277677,1.6766140695717238,1.586167528180796,1.036231010325386,1.5933042703333395,2.0269662068663767,1.2077327724128508,1.1215326998560962,2.0819253754843032,2.2080368992925132,3.612173933481487,5.363274612996526,5.1509089469052505],[0.5752439378795488,0.51515782417297,0.6654565423924805,0.4650323487811843,0.5056625177482021,0.6339841399525461,0.4243190471781529,0.4551985779762281,0.3603497295026264,0.3003035229346125,0.35131616853937647,0.43414938678964243,0.38020228834261205,0.37215651926822796,0.5415677402709053,0.4904381891303176,0.48797033246683985,0.5549737841475547,0.5802459387709697,0.5589678923976763,0.6158178884577669,0.6042905662541597,0.8206489583400629,1.0182403773454032,0.6296945623286432,0.6116558781990957,0.5923451202084539,0.49330746569294137,0.49779490086964756,0.4988440940210856,0.6623202769803405,0.5777114282749326,0.8110799102321488,0.8081914942985287,0.6645579354013075,0.6001731258444799,0.543662827013872,0.5056483344016065,0.4591207194444007,0.4531118444768389,0.5202408630102472,0.6175824216391991,0.593941273834073,0.6539220607683315,0.981754207460033,1.3845220147312811,1.4389233312985839,0.8170042680308712,0.7296206629970556,0.837424579661828,0.7176111611570091,0.6476740196573116,0.6154696196139838,0.5415770681775595,0.966450805555316,0.6385560714666,0.6918013869634322,0.6881836135940913,0.8333863467482401,0.9112190620282262,0.7483011990419938,0.7971608552071606,0.8287064082768079,1.018711328785501,0.776425445481392,0.7100049865790572,0.9367876847913734,0.7395690759650289,0.8410706496851603,0.7078876424450071,0.9583421021980446,1.526111853037757,0.9015658626559303,1.0336353000680774,0.823344618858468,1.1500443022034985,0.8084188880006828,0.8549457004422587,0.7826358265216038,0.7324362159443957,0.7317810930236547,0.6740853552700818,0.8739532773062305,0.4498772204442863,0.43255593954498545,0.46942166894359316,0.5748104219042384,0.6752744131825213,0.6531594674035271,0.8359750837186121,0.8045572354518499,0.9353208452987675,0.9159124760280116,0.8970866408193306,0.7433251403091546,0.8689133484001035,0.7612860879347795,0.6488514072906758,0.5198503007624977,0.760570013532969,0.5135167342532413,0.6664023837145926,0.485465899840569,0.5130889599037187,0.6421767959720401,0.6044776548048101,0.8558495369377981,0.6732612767118726,0.7305744322024742,0.9067789591191199,0.6713164834163761,0.42609994405400037,0.3756163389179183,0.34490358856819103,0.3539524023879097,0.3670810529437676,0.47523053821141187,0.467998599388477,0.8843067343767987,0.6837950639983127,0.609581321568417,0.4862177356573214,0.43087179468177983,0.3524165426658096,0.36628002371233664,0.4418234978625437,0.5423124090326924,0.4647261946325375,0.5035161599505652,0.5601305237249123,0.5286912466228086,0.6178145087166372,0.4600361955936309,0.5909073104654271,0.41379518642200386,0.39923294588860314,0.636514714067795,0.4609240569146654,0.44554805878843007,0.3672889853801156,0.46866838153652446,0.5404274387209443,0.5589908794444322,0.4598838715454696,0.4280999237447252,0.4168673150019037,0.3585541837795719,0.3806398067875097,0.3605997670928898,0.39885750505274775,0.47587706744140423,0.49168673198529267,0.811574452658804,1.5643215707096008,0.9538314756962237,0.6146363094224043,0.437611873796209,0.47260206380245184,0.4158487580250962,0.44467999406375075,0.3713512797109779,0.36804401203972964,0.35828985142693737,0.3478412261181357,0.4344444992640744,0.5070899063152569,0.4180204579526427,0.49852048511643376,0.5793905747159113,0.5302382167922751,0.45864583920642843,0.38142267533675694,0.36034461187152667,0.35539102398489064,0.330244184715132,0.4398520203964836,0.4564265373725094,0.7631881122224459,0.423821581662216,0.4829787800430475,0.3608593038167595,0.4059143681374445,0.40091595968074556,0.4105281482893058,0.39603301775868976,0.4345001815091987,0.463889717553094,0.6182768203612145,0.8782102676214952,0.5504491529969372,0.648967255888529,0.6056050984908586,0.5152313148701796,0.49078283119860244,0.4845975940764242,0.5360494854725908,0.5752932652614174,0.5903356363272844,0.6700235690217659,0.7025433107196554,0.8531940071718725,0.9097315704643959,0.7620209165821975,0.8714643555820526,1.068937578563653,1.0360663627447364,0.8610909413192782,1.0555323054283965,1.2416304997663639,1.0935670314106452,1.1654005362453943,1.3292048632512765,1.3218130487780757,1.2682967639166303,1.3708114709037758,1.2705166795422742,1.5083511706807617,1.2129671531172341,1.206943897972597,1.3438139650031982,1.3157145644076158,1.4019110856410655,1.6507424591133928,2.036939094868035,1.7190368168637538,1.4049442660793479,1.2598403859868161,1.3802237935129293,1.0428673982835401,1.0893218374413178,1.180107166462329,1.1617285496612302,1.3097988946005052,1.0083956631973803,0.9702705302825776,0.9550291150338015,0.9613044946238992,0.8756552762720039,0.796197979022028,0.8453811726468701,1.0243121927425995,1.1591503902234543,1.2278185322039903,1.466883008409846,1.3400208528687838,1.1556928312228374,1.3081860235637581,1.5277547530993492,1.2551980612229368,1.2823382858388523,1.4601039034139205,1.4759241531109897,1.344441843829521,1.5068574572508697,1.6464947661910367,1.5525843705601232,1.5537604114755739,1.6626536761770658,1.4997616028360126,1.4668744457466532,1.3691281735554175,1.3834605177287094,1.3881391234810898,1.2549424073115145,1.318570024154461,1.282253720455712,1.2881445886337308,1.0876719383630433,1.165430038809266,1.3208025323003594,1.0776088110330835,0.9950844496969686,1.1010543039287035,1.099338403533142,1.0030473586409323,0.9649792621989219,1.117725258736758,1.1240522613191768,1.462246357053777,1.0349329231421318,0.9514549156999376,0.928291814095074,0.9635297917303627,0.867556076669065,0.876280563612789,0.9391654872341845,0.8220532746731428,0.6408167610624521,0.6315598023462754,0.5678759259719671,0.5820200780190584,1.1153506113631353,1.6958240136633913,1.5767696964912747,1.1139607359373755,1.6335047589511171,2.0144572130401213,1.2619002847261005,1.1823668076038765,2.1129869439264293,2.1489905316311986,3.5040226861622195,5.155551324637088,4.845089299554405],[0.6000495567853679,0.5338590214895281,0.6395991348310616,0.44554348213985173,0.5044076359504368,0.5920075554447828,0.3957566662428845,0.4357449356468146,0.3575944894774243,0.33970382997334503,0.40862399611083017,0.4735625976446971,0.4228575905815568,0.45987393805696025,0.650647515114818,0.5656225825750739,0.5735340485874727,0.6568033143512289,0.679639438259267,0.663653546048395,0.7084852972780247,0.6946703583888995,0.8913033208138391,1.0618985210135532,0.7348357013503589,0.7037808289678058,0.6746127535238088,0.5774494110264135,0.5879796597699376,0.5610681749802227,0.7501377565311574,0.6278174376682153,0.8296751419739447,0.865480400185192,0.7182544390572054,0.6749284690276893,0.5990096300402125,0.5813530861275664,0.5391042688980575,0.49846741294863317,0.5856568360762014,0.6952621443514204,0.6581640209297209,0.7329272438691264,1.084726845580988,1.4556319489172558,1.5072284707835821,0.8919070995059214,0.7858320840569111,0.8845556132050609,0.7519248073230422,0.6806514605589226,0.6384836355913244,0.5718921828604049,0.9761695561329075,0.6861006411347917,0.7572264432506837,0.7110070281883603,0.8482782040684294,0.9949486621471407,0.8108143425796742,0.8721109239935785,0.902739465495583,1.0870116364726874,0.8535695990450072,0.7925111072111254,1.0340193150340131,0.8255889957154581,0.938600590448515,0.8199824293577885,1.02549419189435,1.5360372102452016,1.0070690172128645,1.1260281909966905,0.9132611439567753,1.1760810079101267,0.8745857741287578,0.914107794194005,0.8376121804205618,0.7937535931810187,0.7797484427270753,0.6792091957893353,0.8597727227459157,0.45456304224296723,0.4625591128867248,0.5045590494563547,0.6309624585265688,0.7150413047366824,0.7244850952494785,0.8862939830431761,0.884858163862765,1.0143879671364817,0.997667636537126,0.9703440117965295,0.8328407008575732,0.9643366436025594,0.8536235316238154,0.7198378661469901,0.5768331544141362,0.7470774739749341,0.5441545218829041,0.6419159075541871,0.49224814818602614,0.5126527129311921,0.6536566405636709,0.6044463347258795,0.873085180868267,0.6781543466615221,0.7229440269555008,0.903426265981288,0.6704604377699743,0.4156902182190108,0.3669994083244411,0.34451887762713135,0.3931730694370084,0.4169150366188074,0.5266269983195386,0.5062903136910405,0.9240605100178134,0.7462124758146944,0.6702983641631554,0.5331639968196192,0.4603084535999249,0.3875046821267923,0.35171895791132474,0.42540335068804186,0.5149534127821426,0.4530979412250197,0.5021086723506245,0.5407661323886248,0.5220999400571799,0.6334415208769039,0.46805247380108245,0.6165356029643461,0.4114776592367969,0.38743492643304234,0.635567029528705,0.430838294181505,0.4347696588132249,0.4154696070586707,0.4800875777981645,0.5478124473168084,0.5619760284097796,0.47181514993776835,0.4809788879213164,0.5032786940277231,0.4204254491762002,0.43529411772317256,0.3646530147188514,0.4115005645297186,0.4696610879656325,0.4790140060803329,0.8065516046714856,1.5240591366429757,0.9268631837397372,0.5928082338446343,0.4447251739847575,0.47443422640524235,0.43270204433702386,0.43561956012277786,0.3720486851889613,0.42411276814524485,0.39182420406447727,0.3992326104950872,0.4598655011117333,0.5206890663915443,0.40270377757346104,0.47429201337690063,0.5489705990823862,0.4865758809281456,0.42479403581951375,0.3861406346483487,0.4037154955423815,0.39667103626425576,0.3629331220492935,0.44699466325468584,0.47944139493097676,0.7500133707482625,0.4391559899340827,0.489441702314186,0.3859194250699268,0.42809744358699103,0.4420936994603368,0.4392112302471305,0.4380037701723285,0.4631937615552189,0.5018849520557068,0.6187472268591838,0.9332498882971749,0.5803252068960829,0.6906416103082591,0.6451464209870841,0.5424356824701229,0.5283969408930922,0.511298526129121,0.5414232440438859,0.5575087228758684,0.6124356364687853,0.6872914400266471,0.7254895621611822,0.8821565015776416,0.9277019994241826,0.7763314435528401,0.8959066262054182,1.096380188400162,1.0485950883837205,0.8755849676237673,1.0915571612655361,1.281302519153548,1.1156381343481254,1.201736129452841,1.3801523275585372,1.3446932234684872,1.2844112225142577,1.4227846260569545,1.3160184602708422,1.5733147242825447,1.2962388794918303,1.2674241200929266,1.41419774556445,1.3901751156377948,1.4473591780665034,1.7763536309084607,2.063216795828978,1.7535508038451473,1.445720708701833,1.2641669722412254,1.3743764905270026,1.0813936736154275,1.1430417617207167,1.2121800357345212,1.1990734780195227,1.378696223742784,1.055455756572495,0.9717162503405508,1.0586969425431585,1.0082374848721136,0.8952794137899612,0.8238752550506191,0.8543125557330767,1.0332043246540799,1.171316344847673,1.2319698686615785,1.4670107694899583,1.3215287834847502,1.1676118954012302,1.3302036578100207,1.5224192912761811,1.2480466451641805,1.2895968608240762,1.463393485470236,1.4758358363882196,1.3536024694776965,1.5420053026766178,1.6801400906102582,1.5775737708377253,1.6066045305593353,1.7287363753783611,1.5617025851795658,1.5223006896419515,1.4122473359676284,1.426437504258112,1.448452261711514,1.3094255360257567,1.3615800766800745,1.347245510651415,1.348762208398919,1.1304450134442785,1.233340828987529,1.3950299436771223,1.1241120523242243,1.043929222127297,1.1611043614335768,1.17656896126184,1.069906052279217,1.0223279416317517,1.188123501568837,1.1774106462078386,1.5647067469149436,1.0869353504174788,0.9998298328212399,0.9518425832858343,0.9951194353212379,0.8973610409167451,0.9072845199017986,0.9519161855731889,0.8524159432103119,0.6459976610134026,0.6431408832348442,0.5720008026149526,0.5947029860552244,1.1072497922920024,1.6612127086301736,1.5207902957234785,1.0934574235005186,1.5998357579472346,1.8913151617853832,1.1912001695235104,1.1380209580742722,2.00760580978559,1.9286812203012558,3.209991848544138,4.811935097466158,4.4450739595468],[0.4676627181693024,0.3890972353625861,0.4882216574862288,0.34655373694180525,0.41566219280333433,0.46002095977219143,0.33536728950365996,0.38801432680737585,0.33686714846106824,0.34276124148641934,0.39837423314863285,0.4816579646573494,0.40967771638337674,0.4482589376883517,0.5895291151657275,0.5378165029210861,0.5648895193725723,0.6099995570967491,0.6499709579620202,0.6228670769154073,0.6750449502352817,0.6618993348257624,0.8471547658837942,1.1273689785265668,0.7263058290371547,0.7083796405784015,0.6434850472133671,0.5487439897501291,0.5601045372931821,0.5357078703000717,0.6828658882498267,0.586552128707155,0.7904794500611644,0.7745869253249237,0.6517902794522611,0.6250719740535924,0.5618599335531476,0.5329865840637616,0.52451443324782,0.5075391941586268,0.6121582155573821,0.6928397920698037,0.638190366715851,0.7713211883506572,1.1201702588946274,1.4633831882053885,1.5762529933987723,0.9729799765406858,0.8164760118283045,0.950101649215878,0.8182125843002874,0.746181360317892,0.6700666941956827,0.619300605209002,1.003522723048846,0.6505194185315133,0.6973976240512525,0.7586438235757458,0.8380656584947417,0.9704630844760134,0.7555427572816515,0.7505399662703777,0.767376593398216,0.9811850335679447,0.7795148632117662,0.7165162051224713,0.9581164121946785,0.7727186172623394,0.8939108951559531,0.7640565407249066,0.9653937077425064,1.4427945646482165,0.9519629493686292,1.1260344883991313,0.816145290483593,1.2423760167387434,0.7734341425783544,0.815702902577857,0.7426833318643873,0.7179575994719274,0.7191592361202506,0.6533019262759706,0.8853814633040713,0.49502945402828985,0.46228605931705213,0.5146778160487193,0.5991091991659158,0.6948600346959203,0.6567107124273526,0.8141938762594895,0.791016906094772,0.912770291407238,0.8678194839182263,0.8445989882176455,0.7320521009595593,0.8439636044795242,0.7295418686048285,0.6618710133744238,0.5591301782385848,0.7920371523734853,0.5541718877269732,0.6755469588377893,0.5268629041993468,0.5130787919021609,0.6082787627167614,0.5543823532252758,0.7590574224460241,0.5785998967242221,0.6244440073603837,0.8175415695757356,0.5952230400681676,0.37623213320699045,0.34158803662875153,0.35262659403408086,0.4218621395200376,0.43864210478178406,0.5314390745036007,0.5366502553720968,0.8996731395318078,0.7027728058974326,0.6436125311177496,0.5189014968594623,0.4950809822183985,0.3885685559182965,0.3572479370584744,0.39958659216875864,0.42248511144080375,0.4041565259511539,0.39579388789724385,0.4710365374945079,0.44065976825259856,0.5230317745234975,0.409546097150908,0.5282327783857473,0.40762408145898116,0.4095753276294242,0.6107978010967481,0.4392589574182056,0.4502331031342364,0.44903538493704587,0.5247660342514864,0.6517929958423435,0.617371429704539,0.5262188909454101,0.5082031422530775,0.5085613716673798,0.44518908293321624,0.4410004725672012,0.3877319146281016,0.4154728281866074,0.4566076957702285,0.482660968447217,0.7954535385350553,1.5806019901795052,1.0412818655386662,0.6290633256881434,0.4808311221377912,0.47524001360451446,0.46664756505784,0.43866854369523367,0.4271954455568397,0.4562670382902961,0.4250520853772794,0.41819716352151376,0.4935193338536213,0.5646680417224141,0.4538229297285326,0.5366142667933099,0.5703887751252069,0.533712876540399,0.4574327576161432,0.41637117398990964,0.4281693889463718,0.4079701281388659,0.3879403260315535,0.46264279385632967,0.4977527911400099,0.7497688143298563,0.43787540719622936,0.4989043515992791,0.42087135573753853,0.4136479090878166,0.4154586990566198,0.4460954969877199,0.4519508416767617,0.49146984890439205,0.5405056809841636,0.6630033541493543,0.9437132934458501,0.619006273189587,0.7364267213700973,0.659479852372936,0.5627153813586225,0.5379340632771211,0.48761874820790535,0.5234783401813995,0.5384327840281622,0.46110377138889574,0.5125169947268096,0.5694182549319801,0.6627800573670896,0.7386220396439663,0.6070939695541467,0.6896022669365037,0.8670532901671583,0.8554076031972467,0.7086053650920495,0.8602201875349805,1.0282454502622846,0.8979203021850585,0.9700290943159378,1.1247711364333215,1.1295094547622624,1.0422387624408198,1.162835199807378,1.071158890772478,1.2846177301314792,1.0174085620610362,1.0160903616027486,1.1176573605376898,1.0790103292579674,1.2990888344550646,1.4224502990680923,1.7351522550213585,1.507287379141741,1.1688361162007517,1.0595365223366828,1.125607508001597,0.8112923838387288,0.870762179637472,1.0009967225126497,0.9630077892231108,1.1517847343261096,0.8403433910129111,0.8045331362757739,0.8999594963583859,0.8417224597466573,0.8598479150286228,0.652043619085256,0.6939453479656547,0.8462633681984371,0.961917175605616,1.0487020261867694,1.2805834675309213,1.1830852093238666,0.9934799987345917,1.0957479740880693,1.3505652196317173,1.0899676938069356,1.0739815228347094,1.236642364314189,1.2717539505126012,1.1276007422414958,1.277701425650288,1.4270994137469042,1.357220858140156,1.331723788086546,1.4307794813540295,1.2653371705271943,1.2305366008476217,1.14568048763356,1.1502343069325676,1.143221033676124,1.036250331414581,1.0963627437397803,1.062353624801641,1.066818998402809,0.8794051912631643,0.9515225765606194,1.124140123201215,0.8944059762549925,0.8312848744952621,0.9085813350734754,0.9978410752853597,0.9041015952208452,0.8686915086630211,1.0381729719984445,1.0580841588038854,1.4066202031302981,0.9061740914278267,0.7861663414281808,0.7612131914808381,0.8364569219694042,0.76760929852754,0.8019011105833677,0.8194218597788139,0.6893260540942929,0.5301651580058454,0.49365029601388966,0.44640526766899946,0.45801504678143584,0.9593397598445794,1.4644292160840573,1.4190187003125565,1.0017500715593697,1.3922743980793613,1.7541298164285484,1.195560242398086,1.0026906399937294,1.8587916908643645,1.801306839425369,3.2217282560243126,4.693019080000518,4.283470434141092],[0.6750272827091726,0.6530328147037242,0.6505065953696306,0.6054110715268667,0.6495180187273794,0.6847173023966286,0.5971837423879044,0.6564292784401146,0.5811625606972034,0.5331212679327153,0.5161175308486756,0.6088579830623119,0.5173982992459157,0.5261993594888437,0.6361844935379215,0.610817924554808,0.5958279033046685,0.6048333425013062,0.6546815427281921,0.6323786246756902,0.6840467983059582,0.6855810756586156,0.800376917345934,1.1622048889815897,0.7709822885913052,0.7602996736700333,0.6615861210998047,0.5830713037471285,0.596376192322087,0.6084734719731765,0.6864879397347916,0.6579936801249227,0.8228170982900997,0.7960631999139209,0.6849593481408986,0.6432007800625139,0.6445020074630633,0.5844556247891152,0.5692046378124943,0.5656583859624404,0.624594714902282,0.6666364865146244,0.6313699433945081,0.7940827267307593,1.0867912993688558,1.386786311318105,1.5319336246915607,1.0290328155234603,0.8695672976160973,0.9694713351746373,0.8606249319969957,0.8025052142557356,0.6767961636939571,0.6560073585035111,0.967640804708413,0.6693060259464865,0.6813871907428954,0.7656796212110414,0.7988423094969346,1.0044685951512453,0.7464985741888102,0.7138270580952757,0.7103399325612972,0.9207734082960982,0.7288051672122494,0.7267781531867052,0.8646539158621901,0.7060493597449482,0.8617717037412782,0.7204821693736763,0.8822234479348059,1.369317609363792,0.8981929729018584,1.0870545887534013,0.7461869274092534,1.2989447931915887,0.7056024869255146,0.764847522533828,0.698257242328177,0.6948163548053097,0.7375614686157588,0.7186994178447543,1.0033148682202497,0.6405484593992145,0.6068425322510975,0.5945643875930725,0.6177121339253779,0.7583211114873247,0.6525624607070875,0.8360984500458717,0.7261195974014845,0.9105831700972106,0.826199056598045,0.838222395885373,0.7534406720320825,0.8666257394334143,0.7642188675150549,0.7546253481287896,0.7018863525106896,0.9514461064090373,0.6854684482853753,0.8545923870649227,0.693824310434729,0.7198525938485139,0.8395089382406681,0.8301455119471747,1.0193130026032795,0.81579235316183,0.8383014892657338,1.0383047928467064,0.8543050647841536,0.6483348342307452,0.5791886243800254,0.5797292403602641,0.559666623751628,0.5214535400126813,0.5670774472730945,0.5396680213214448,0.8299432865722725,0.6468897693785856,0.6051659782168588,0.5527971823707523,0.5242595480773075,0.5119968348399012,0.5664056730755777,0.6103360053989278,0.6581619622000435,0.6257210922769404,0.6544750912205827,0.7457234340287359,0.7135180006788838,0.8050753709694601,0.6986797145453514,0.7789936428942872,0.6520344594841132,0.6175593689772525,0.7914267586283377,0.6318234983599338,0.5678917107555821,0.5219806982306618,0.6125087074230464,0.7847337243196855,0.6491346598845678,0.5265141057866026,0.5263196759971944,0.5658361430305416,0.5341474130526882,0.5669022819410355,0.5741896370261805,0.6164232383661763,0.6847626468946361,0.6964922362622602,0.9733225942585686,1.5792594902793922,1.1761300003972794,0.8415328406743032,0.6739735331789157,0.710299206655292,0.6171361528365291,0.6480015144616621,0.5919492444781803,0.5670954245669079,0.5541259230031553,0.5480128860045632,0.6229577125640653,0.6536752835376028,0.643792300166741,0.6966052837674803,0.7652244003754693,0.7150684370897515,0.6688249352247372,0.5731131821644281,0.5858262001336255,0.5875413287151178,0.560203347526229,0.6548854219305507,0.6568606405842073,0.873262369841538,0.621662930659482,0.6670846635991245,0.6090374980572929,0.6634077975113529,0.6721079336139242,0.7068280603035503,0.6349375555025958,0.6233329178333172,0.6569919334655998,0.7018625462131565,0.9786348119242378,0.7277175938126567,0.8577366911611124,0.7603009628254801,0.7347146872176754,0.7410446802228476,0.7109208851422791,0.7607478919854054,0.7382649374860976,0.7481242042977798,0.7850071969861351,0.8631106827760653,0.9249759806872329,0.9836348268087669,0.8819862523839326,0.9415563697912477,1.0752794092725515,1.068377850288102,0.924304775416916,1.0528666837070104,1.1837099086166318,1.082304974672811,1.1473427811644596,1.2549143089328365,1.2487232266293602,1.1631649198849725,1.249431460151044,1.1630082891148434,1.3420742212741648,1.1481203657774213,1.1378097106774663,1.2278763986994765,1.2090095435898183,1.282736041448841,1.558057787570498,1.7754036377148583,1.5303084568410101,1.2166930727165217,1.0844475127071092,1.1163907938971263,1.074222842421322,1.0550673393693066,1.1612009311373774,1.1085987254777037,1.2897774614927613,1.0438787612387483,1.060194301181806,1.0775497253747115,1.0199297847855064,1.111248988991542,0.9205086771867517,0.9150070545359681,0.9698983805707106,1.0973859634145442,1.1659424688896003,1.4369562907569366,1.2917663926438443,1.1077437271298223,1.198305810594308,1.441499370778698,1.2620265071165542,1.2016833964056761,1.3071767842580921,1.3502045561364564,1.249089302058126,1.3395155526178144,1.4490287318137836,1.4032359641087615,1.4054157961655043,1.4942485784989732,1.3675707870795224,1.3209700349794888,1.2484261891744863,1.2509065074145758,1.2407270319693908,1.1809304320198184,1.2433458726118942,1.207958972678049,1.2126176345645847,1.0840384022243619,1.145480954513033,1.280163571535389,1.0692134800012312,1.0187839675437296,1.100546636626322,1.0955453924656324,1.0782699243535085,1.0321691375552844,1.190485476147951,1.1515939458806086,1.53117469985495,1.0349636409057312,0.9528833870950071,0.9493399987064741,0.9495719241563878,0.9351567588421774,0.9583022194498865,0.9715414354776927,0.8949327515122313,0.7509811983363908,0.7688769194393169,0.7218835463737161,0.7250606004242066,1.1492071592557673,1.5159990498288156,1.4302258720312166,1.1703412356818108,1.480426343662281,1.6970470979626413,1.2457652528478322,1.1519536067492346,1.8897092278768906,1.6747261989728188,2.7703085036070862,4.043590228612118,3.6639856994274522],[0.6087885266582446,0.6026986640316344,0.6635756290390743,0.6927086850618779,0.7493669748851327,0.77039737616981,0.7485223467247255,0.7970813958930538,0.8125203755852669,0.7970303650028754,0.840720933243571,0.8937417932317431,0.8138102943007799,0.8253620227126466,0.8857849853821955,0.8694896690912363,0.8504146297077887,0.8608894355232997,0.8809525508598334,0.8625037469370671,0.8389430646044147,0.854742446227068,1.0479058705417883,1.2059875268441962,0.911915161076298,0.8907253674910196,0.8753452827598819,0.8353382630861519,0.8591205981160528,0.848221220260849,0.9138216782970412,0.8696704659955289,0.9558880219169391,0.9296388957600596,0.887599346032513,0.8666146591182341,0.8671493270688466,0.8729589510787117,0.86502574609778,0.8383470807479487,0.9386254817670998,0.9680051712045853,0.883588187136855,1.0482851405944447,1.3408396616373774,1.602157438310213,1.7654914350922586,1.2251134439855769,1.0848928505337936,1.1590139353800974,1.0799811454651262,1.05211793366858,0.955204985013332,0.9794334130374508,1.1732655673310286,0.9027114232002482,0.9460027216001465,0.9103173811195838,0.9710380721778074,1.2319038434939462,0.9220373353649202,0.9711630473789848,0.9486003008165695,1.1306897230664357,0.928999667450102,0.8702737202960785,1.0793066935357416,0.9386497170394855,0.9785097094460883,0.9117030049315585,0.9564292298899113,1.3313550596366268,1.0183177155387626,1.2125252836160239,0.9148697099141583,1.3988312615329843,0.9036959447882928,0.956175417245265,0.9194356398591166,0.9293203796724134,0.9162342073440077,0.8619944427169844,0.9672762472106476,0.7833535187034929,0.8108864037316299,0.8196200160975196,0.9027070576386952,0.9477216829755433,0.882399934162235,0.9564218488470979,0.9631048414188645,1.1774524104468016,1.035644925434603,0.9941265652775625,0.9428296579046087,0.9833600301880244,0.9495151870590605,0.896831002864338,0.8529758554208242,0.926489560152947,0.8725327064475954,0.9031713202994393,0.8381457745276362,0.8464007915742813,0.9134088192350018,0.8879546083474199,1.004336155135932,0.8551654052874033,0.869140951836353,1.056890970258781,0.892774907895637,0.7950627132400112,0.7941148398342842,0.7607838318791926,0.7697014281776323,0.7638093004365862,0.7957021351689668,0.7884315726763991,1.1186063703561004,0.8347616952186294,0.8450462773127776,0.7867160871225666,0.751632906456153,0.740806586696155,0.7634691726062361,0.7980957966279288,0.7792139203425894,0.764246287054542,0.7843009589119078,0.817712965275709,0.7799747458355185,0.8528386017469896,0.7761689988339627,0.8594375624904328,0.7691113874301156,0.7687240502756041,0.8553924496062457,0.7582083007223899,0.7291489175751616,0.7612511817154615,0.7822210785975972,0.8259578133664001,0.8711410202199261,0.8052337048043265,0.822642322208936,0.8540441307031754,0.7881126580629337,0.8480283248752056,0.7762669227004773,0.814159225916793,0.8284649968461452,0.8428426588535218,0.9575411028300407,1.698905941134959,1.1364626091498171,0.8724195358974268,0.8343632657437902,0.830208424647213,0.8114629558419798,0.8128979968837732,0.7984227053144707,0.8157952401478287,0.7796716454879985,0.7852182769229517,0.8079441245184042,0.793395689884728,0.7540923626669925,0.8118109658771893,0.8167196481373709,0.7817451927682575,0.7582137418841088,0.7720095293867646,0.7924146576878585,0.7879530433461104,0.76796125591639,0.7745534481585902,0.837738445932613,1.0130148410152717,0.7871372000406688,0.8244033261956228,0.7778569039683411,0.7663213371155513,0.7712330602780715,0.7810568778852661,0.7855255766742193,0.811488950877854,0.8557018472688281,0.8902057462906199,1.1454064907262345,0.9203469252705568,0.965253955359123,0.8919409577195525,0.8310909891590376,0.8359520758973586,0.8019484370303605,0.8473591546393092,0.8335284167588543,0.7625065110279848,0.7787941330930812,0.8489282469254098,0.8077329758065791,0.8778060003652063,0.8116873142746511,0.8025651127422917,0.8899059907152725,0.9241094417335015,0.7923231499029296,0.8825639883796872,1.0108905610286931,0.935477406375541,0.9512949500123005,1.065016132085759,1.1167680242795763,0.9939774846993932,1.0688337221691062,0.9818166717644816,1.2316726591021474,0.9564569211226607,0.9915560685027848,1.039305072060364,0.9952580923866293,1.2541093090991062,1.2447257497870268,1.4146500282212007,1.5083499676804861,1.1128429472182737,1.0088884123993835,0.9993405348020825,0.8323641045441201,0.8620238249144466,0.9850324795439386,0.9691148606322869,1.132080758136738,0.9139939380566647,0.9186421947942256,1.0392565331484018,0.9555377761559465,1.0849641146446578,0.8444404375625907,0.8868487326824231,0.9565459505358609,0.9887494471572051,1.0843524382288625,1.2657388083385206,1.258617292377703,1.0743358750547212,1.0942113427728244,1.3232547814736646,1.168384385744564,1.0915670585146022,1.1796668262866816,1.244526567842346,1.0948452772454709,1.188274959587897,1.3159360739525774,1.2994175829411896,1.2183422070025707,1.2766206858824962,1.1586497120920303,1.113118418477356,1.1131505677946,1.0991521617487512,1.0416062550665248,1.0031336572782321,1.0375907002684799,1.0301374695777297,1.05383700147145,0.9130715769991737,0.9436701656160091,1.0994150804283522,0.9007304972953885,0.8783261838080035,0.9032152431362772,0.999137205711186,0.9523889464810581,0.8791239405136867,1.0541437056065452,1.0692934786936317,1.3397668972772099,0.89149330281293,0.7909018801778276,0.7935246238590072,0.8195826372212631,0.7880711002484269,0.8440656532968265,0.8690894137303715,0.7614943549601741,0.7635281574046978,0.7776904064830459,0.8000243032829639,0.7750126929550601,1.0665658915803888,1.3993956950393611,1.5791270562969186,1.163147103197947,1.3442496326071383,1.6930698601224565,1.3864877920570964,1.1129079869893757,1.805422765442213,1.6113919692901244,3.1010275535359857,4.288917867060721,3.879043236970684],[0.6197206105541692,0.577126905414082,0.5206627273771139,0.5002402872410674,0.5174732437479744,0.44662440518710705,0.34619551295003687,0.41344656260398405,0.4111508626558762,0.386296425915194,0.48579089838516526,0.5691588305895465,0.4496649050710584,0.49520117140546543,0.5867957201877856,0.5431133571834394,0.5467309770044219,0.5956843070157948,0.6384015626229991,0.5724334354896307,0.5979492763668661,0.6031837023783945,0.9107745927997749,1.1121711719377232,0.7422561991896901,0.6994753295604977,0.6022079284797207,0.5405078280089843,0.5425589668222401,0.5409127505636203,0.6465447042428503,0.602995783755652,0.7507342810084261,0.7456561982718647,0.6266199396197184,0.5996320963699836,0.5537650599084855,0.5400896660201004,0.5031871699420543,0.47820022375053295,0.6119857905604267,0.6655391619707908,0.5972527086150131,0.7954132354091069,1.1346261974685967,1.4715150699024047,1.6562606195893483,1.0028066483597498,0.854977303052889,0.9913849454248579,0.8403676676234593,0.7726863189213612,0.7043136909148601,0.6227098717040145,0.9641775876101282,0.6612813876361568,0.7240966150028458,0.6950480008963623,0.7781774186389211,1.1373123103300826,0.7413397392029486,0.7455920833752623,0.7352317435035063,0.9142084671812577,0.731227154745781,0.6516840928859722,0.8845721827955491,0.7021272590309018,0.7918095063987867,0.7223863255718859,0.8581554691792186,1.2346789909932216,0.8855552338217051,1.111610044201616,0.7683800204144485,1.202840230621192,0.703888058401762,0.7213770158225323,0.6824145240675837,0.6554310109906821,0.6597054641996416,0.6184419215856053,0.8136306176318291,0.4436927070731754,0.4777571801662022,0.49327016844708965,0.5788681122498119,0.6767779072510548,0.606090047458789,0.7418624738528784,0.748442247695363,0.8239079421741943,0.8068085190955023,0.8269416795620246,0.7353184777277266,0.8451827843336345,0.7623967439673671,0.696701538081911,0.6110521004409912,0.8374123630067742,0.5761919637018165,0.6681308769783897,0.4930888341556164,0.47340962864652025,0.6089709018690382,0.5361129263270326,0.682574499327045,0.49985899161286296,0.5268451010318088,0.7044750507584205,0.536037810704036,0.3422244066159076,0.3607602918757517,0.36561822399109073,0.4168528017858273,0.42742199051898366,0.5116941251339265,0.5458934888326518,0.9551479159788367,0.6578009462464197,0.6773172597320464,0.5417251175305782,0.5121821735405835,0.40234511276055984,0.34989034272086716,0.42250113972481,0.36805128708329576,0.37003301347309886,0.3864978201370555,0.4419531090146691,0.4378199079689926,0.5123930830344511,0.4362476793486961,0.45744637812790345,0.42467732431961774,0.40962511175192956,0.5897979626580871,0.4450204794116086,0.42384428652117156,0.4414253218232541,0.5343506091009519,0.6726177743420199,0.6474833419322686,0.5025557714933084,0.49771645860859137,0.4886643287703264,0.41713244374668557,0.4088146815582382,0.3716320468742633,0.40015728601480705,0.48729420508884186,0.5281252155893282,0.8080508482655051,1.5652062968827183,1.0991059772277212,0.6230042910892811,0.5037624616488092,0.4992955350186874,0.4455682753956205,0.42082951436431565,0.40176393377728314,0.449218661768522,0.41465410195055447,0.43258993555006525,0.4939498284865876,0.5736487178768815,0.48337311037207853,0.5971178179009735,0.6255341901559144,0.5681637171964627,0.4825121304627901,0.421610850711679,0.43674300244422837,0.4170251681218441,0.36827846131928516,0.43984865117284605,0.48580221130330165,0.6804423231848855,0.4305085088221658,0.4504288885389766,0.38121054473184934,0.3556305150022551,0.3845914260309277,0.45201751518751254,0.4347773964035973,0.4692261463311752,0.5558167847150844,0.6165363546815495,0.9580290153842411,0.6906685523808404,0.8089380079361228,0.6442023040144031,0.583103517709524,0.5715027675796649,0.522754350826784,0.5997891374777655,0.551665514072597,0.4989892020809797,0.5436872195117322,0.5850295758452861,0.6035886724561368,0.6590648029903396,0.5602741493132306,0.6539296174465782,0.7646134709280644,0.7602994466421414,0.688830991330627,0.8225222720479646,0.9268298360117506,0.8413922339826467,0.9144531596607459,1.048874963333687,1.0634663357372507,0.9428040278121399,1.0707470082942672,0.975507619048715,1.1988409880258015,0.9959537179917765,0.9586179723863286,1.0447810423016934,1.0228465938679772,1.2729093696047789,1.2827175661375807,1.3819730064879951,1.3481950812600259,0.953574586268548,0.8230508098893344,0.8411212140639237,0.8292531764937777,0.7434216075484884,0.8562826390052238,0.8554358933003382,1.0712561864788475,0.7683947842150662,0.7839324628013915,0.9707429145158265,0.8365218868200132,0.9628861312362875,0.6416303539172019,0.6165237012639615,0.6646093956849436,0.7918778924034339,0.8658974215997846,1.1188744526542562,1.0113678083524502,0.8352770336922455,0.8872675012148535,1.1131309806184462,0.9427800382179277,0.8912237504542164,0.9878995795368516,1.0389745913001507,0.9433851041502843,1.068219607411329,1.2112374830586925,1.1998908238107662,1.1837277737275047,1.2754196441418284,1.1524466915633083,1.0803761725485412,0.9952467822410203,0.9998397989198663,1.0080814989465314,0.9423122978815259,0.9555532774851656,0.9763807120748869,0.9922264437641583,0.8291416690722305,0.8917898924659056,1.0933289049198347,0.8662693768564134,0.8477951686127513,0.9084865056392835,0.9886664223266193,0.9679804927450477,0.8946959417653062,1.100189867909189,1.0559141815222028,1.4011635704825312,0.8780238235471529,0.7435746647707173,0.7155782652290963,0.7581405064860623,0.7308621565733514,0.8107468983532803,0.7958101731811943,0.6967740198701106,0.5805594555853302,0.49079276924900384,0.4504751462515255,0.5303539275443873,0.7927735180534464,1.1504683795385768,1.1556362118426102,0.8657199775445571,1.0905489734585792,1.3385723249825028,1.0503928129173394,0.8346960554453553,1.5620421531676483,1.2763075504610888,2.581253118223321,3.6942268518778834,3.361928892990387],[0.5074758232495818,0.4765771731995949,0.4787452094389627,0.4657545833477273,0.48879060863914703,0.49748613478002546,0.4009331583547213,0.5180538616555872,0.4675468770086035,0.3948497386888621,0.45879539368882316,0.5862610019322928,0.43063369182776284,0.4114294631933714,0.5230977224093128,0.48199143363550206,0.47456304443496367,0.47711043334734665,0.4801861871719661,0.485889374526477,0.5330752214569832,0.5465786188105799,0.6786515128975124,1.0351716536750386,0.6767055682049112,0.6267539008651075,0.5484543354627603,0.4633264670041872,0.4483590523368838,0.5039585891279493,0.5608631290068448,0.5840877679414894,0.6932824205408942,0.6786255624698607,0.5630764710511409,0.5359978976579598,0.5121360687845974,0.4801081509458872,0.42130469925033887,0.3979219605138756,0.4808169547430507,0.5174085571949475,0.48254515569047013,0.6579152328923452,1.0132709060354401,1.3757683077473302,1.5331916567485084,0.8843096871596567,0.754384233959883,0.8967979786389275,0.7309874245808593,0.6346017836043863,0.5623984049515782,0.5191397979100228,0.9215143036988804,0.5525153496482036,0.6088271288593688,0.6225969574840343,0.7351783531932643,1.009172099930514,0.6359553814152391,0.6172867289022839,0.6199975626022067,0.7881234695316497,0.5938230553779171,0.5858814756181168,0.7980311008595513,0.5609481357526042,0.7282610107519767,0.591527935453437,0.8026943292317398,1.201514210890547,0.7556311096815427,0.9594413620513464,0.6527335805407021,1.155880962642948,0.5978764339544366,0.6407907924040356,0.6042903581784657,0.5944378888216021,0.6121578696853988,0.5861667281900519,0.8600888256410645,0.45603391691504475,0.46383190970779536,0.4455570015999191,0.5222455710467758,0.6523085157447797,0.5356884818345576,0.6832556685432719,0.6534402136687274,0.7968058094758032,0.7189045034424955,0.7327074964526343,0.6625706384307424,0.7690982404340784,0.7187326445583677,0.6775441916695489,0.6276627593325403,0.8638703451944153,0.5978751757222975,0.7463606388787108,0.5691000649000029,0.5569153379265962,0.7165895796928273,0.6086507154801601,0.7189339382348894,0.5746808531523852,0.594233694898795,0.7556821627735683,0.5864032895384573,0.4177840947816574,0.4069591908065215,0.3874343680331862,0.4103111026628524,0.3819915140730538,0.44542122687766744,0.3936666928748119,0.727875707177235,0.5249547771897715,0.4966740627242881,0.4164439562994812,0.39222603846952564,0.34163213858882907,0.3480824824304397,0.40971709157097547,0.40948233314197696,0.4131626193502827,0.41927625267102864,0.4790175290112874,0.4334015734879484,0.5256947404342577,0.43461481558702814,0.49128411185746795,0.4210492387198411,0.4153904657591292,0.5683395311544118,0.4159800714274172,0.38565189718376025,0.36800186026738485,0.41572076727389456,0.6095886890314797,0.5481729486402891,0.4122748337386492,0.4064462814076303,0.42696957957861825,0.38332377571517784,0.3875667404801865,0.41222060985052583,0.4460382175151168,0.5913233752488632,0.6252695013614776,0.9088787690965102,1.5643586901737117,1.138888753299309,0.7322769748852285,0.5845725341143084,0.5897911110810099,0.5138106426451909,0.4995341591461183,0.40620769195132383,0.42441479928970627,0.3576335979693666,0.38655248691471245,0.42270930251366945,0.5361741739049029,0.43395729496952007,0.5243797700272523,0.5985984958392095,0.5398642516560606,0.4323963423125259,0.376041641934054,0.38183843600331757,0.43593334506705916,0.3967305655184649,0.509874185073306,0.5308557402280617,0.7578435652261198,0.4626584165180184,0.4935630915987901,0.43473992124719935,0.44748890799740976,0.43498333400779804,0.4884866267030891,0.44167892665416475,0.47678979522827797,0.5160263840278789,0.5678771053011309,0.8995144927180849,0.6511663518627826,0.7500170450002567,0.5690612114968612,0.5678644783886693,0.566056088657497,0.5192196804376846,0.5525276334695981,0.507678967952146,0.4722690163017195,0.505860047423551,0.5917485154419679,0.6121511282801914,0.6806048403701086,0.5820160565836234,0.6409070469603544,0.766662893988473,0.7639736322209508,0.6718974201653728,0.7902451318439458,0.9079529477355728,0.8133289788393865,0.8879902099548986,0.9996611108405614,1.0111101097067823,0.9048163278242124,1.0265670748564049,0.946371818127225,1.134100721351889,0.963576697265887,0.906694055493446,0.9881272002656067,0.9656690904835488,1.207431522651165,1.2909274867353222,1.4808818821697884,1.267097898576874,0.9329156320463659,0.8575943388019337,0.8685329229444625,0.8480389187402568,0.762061237712328,0.8937585020852213,0.8475332940929322,1.0757748463995254,0.7840952702166356,0.7929414807734723,0.9483355880138868,0.7957612657042396,0.9090337131876594,0.6324956626529759,0.6412891252692363,0.6842623934925505,0.8182107823743093,0.8914285239639874,1.207230004882632,1.05175844526324,0.8610311618008506,0.9065764476735088,1.147747082652109,0.9895090707711718,0.9061272416832795,1.011512347186311,1.0653741842978257,0.9566881919337057,1.0695208416925788,1.2029524114031152,1.1894741884278284,1.150598553025102,1.2360469747425484,1.103409655928067,1.043868687890093,0.9635917885616478,0.9653419413410058,0.9823752410903137,0.9089886561243139,0.9433874314882941,0.9331879953789772,0.9323719023689476,0.7978012369582265,0.8703332136958474,1.0296253192551963,0.8385169468069683,0.8124500990693263,0.872829514352547,0.9613780437747659,0.9188213975790955,0.8600544448973519,1.0517462666630684,1.041689036186244,1.4184421146642057,0.8727646585599224,0.717588986668677,0.6887393363167807,0.7554069590840362,0.7178339317859883,0.7811058908242142,0.7877003864503549,0.6705207444061442,0.5584726092642356,0.48455842871788424,0.4388066646543216,0.5105803005370201,0.8224560078602324,1.1630888175962701,1.0966750229661844,0.8603378963356612,1.0954650587606716,1.289420366971398,0.9788866494865057,0.7982963437459244,1.5192103967576642,1.2319372833578974,2.428277644173123,3.5331638614929504,3.2312094264132054],[0.4195876591330078,0.34781341420609463,0.41437722651204406,0.3373263763995673,0.42289910540851083,0.4082432325559327,0.28772964800580836,0.3458452651489768,0.30037437712580267,0.27667951450628936,0.3355717862635667,0.44311296554301044,0.30590979572063665,0.3488492886485613,0.4740247669332932,0.41680584922960573,0.4436003307212547,0.4652229633641097,0.5207962553823734,0.4894378596917814,0.5392971763027359,0.5396133318630271,0.7085993858727886,1.0367354716361847,0.654773814947807,0.6256235543918649,0.5358034959154263,0.43274421364570753,0.42571182907383603,0.42536723596438736,0.5241807120610426,0.48131539343216917,0.6326962870748566,0.6201298990169878,0.4936617586667631,0.47665837528407995,0.43845080009850995,0.41737916144521725,0.3846561635987648,0.3515558007567142,0.48922308457379043,0.5505741075235973,0.4920356070690509,0.6795539008860743,1.0247922294807086,1.3623902660944602,1.50010083475246,0.9037941159875379,0.7528381433648149,0.8811996928058494,0.7421543409977692,0.653766567283318,0.5535751381434689,0.5090805340375525,0.9253473665712778,0.5336121205338509,0.5925222192135824,0.602806006184448,0.7074779742948912,0.9803785617904047,0.6299615438555015,0.6079836158011819,0.6016922757916444,0.8120657663182833,0.5979603125528177,0.5761576805565213,0.8014436487495818,0.5941720389543755,0.7479820054133968,0.6108868036317602,0.8116929575469154,1.2613031935274748,0.7946168166627838,0.9838244956728256,0.6473021928740965,1.1826374412342744,0.5947465257483406,0.6278460828483229,0.5649214628537016,0.5529035338643222,0.5682842597129347,0.5229121696125375,0.7925786127239912,0.3784935143186655,0.36552141696470114,0.3703722490859563,0.4598841010094966,0.5953299897237395,0.48849453117440206,0.6579874534682054,0.623196774041775,0.7790702342014528,0.7010865517492496,0.6904347837962399,0.6080961540553533,0.7248150430542843,0.6503639435314428,0.5719474921163116,0.48251404434353495,0.7459219939541742,0.45172082336027025,0.5978989734585681,0.4268117716408587,0.42367799117166927,0.575245032614539,0.5332562842747147,0.7214910607246026,0.5286813165974563,0.5692196753617993,0.7675326434700654,0.5701524901940535,0.3429708468727616,0.2931096352508718,0.2977785313931567,0.31916117650374504,0.34929274418168615,0.43430159566536547,0.4215551707913167,0.7546904114334556,0.5367962151186824,0.5236748414609531,0.4125530626561541,0.40164891857296897,0.31060242593349435,0.301161354951247,0.38429950440133787,0.37209356640660424,0.3592302828913254,0.35968779882352586,0.4450967502588823,0.409064637173763,0.5058198969574386,0.38978288001352873,0.4693048161009545,0.37940557937110786,0.37402724748813393,0.5779615479582809,0.42359882837336293,0.36642036764905406,0.3410082427453327,0.4548261925823819,0.5873537701229607,0.5547577684816315,0.41361392127277236,0.3829324799138091,0.39688936505882816,0.3323155480008979,0.3273098272789531,0.290881029537122,0.3444841244037787,0.42006173607891134,0.42654757222156314,0.7274026385243546,1.511270099387708,1.0286152944943763,0.5622812184156419,0.4008138274804698,0.4024806770802167,0.35568372523608166,0.36974907378571487,0.34298942202365607,0.34726840893853483,0.3230892655333267,0.3183535955733462,0.4088151574322286,0.4963821927071779,0.40735461956957725,0.5116900850791233,0.5817487256155096,0.5251292000506208,0.42816439709737336,0.37785709963383596,0.371971042292169,0.35832970214815835,0.2910047942605242,0.39637801253713534,0.42284693659217143,0.6736173234676442,0.3603155140422342,0.4016619705387026,0.3504672653104811,0.3629134306024196,0.3710791207210996,0.4040578228781199,0.3715842141061566,0.41171845706818533,0.46164467262923925,0.5578476815167247,0.8807295292998562,0.6065991372476827,0.7206752658073643,0.5727761794949079,0.5298313867900106,0.5196010220372153,0.46726932339027566,0.5171127983520764,0.507563530021043,0.43252202085729397,0.48053918708478793,0.5474900622050972,0.5881300839721426,0.6518181205677602,0.5477584899628778,0.628973125914322,0.7781643855460023,0.777023115808227,0.6522942353295497,0.7866469155793275,0.9211367099265917,0.8309059497511171,0.8952503168697606,1.0214068579999052,1.050782999314728,0.9603064899797927,1.064521792210936,0.9785548441316264,1.1865710954216468,0.9648970931073596,0.9330232495435952,1.0046990170566121,0.9631089993212119,1.1740457850132289,1.2817586061806714,1.5833174303597397,1.3872865646711758,1.012352118084894,0.9207707989862722,0.9630282764584371,0.7471406096759778,0.7725314879100548,0.9155640400901323,0.8783762942513402,1.0941288605596566,0.7895027063176554,0.7528855798958372,0.8999767233606277,0.8092567111217743,0.8598006682810867,0.6104842346189284,0.6405866887449441,0.7411795054847706,0.8562616556500985,0.9338778575085127,1.162738646399991,1.068151809946347,0.8870162726278977,0.9446887922814255,1.1977366088470975,0.9865295120416074,0.947587120530763,1.0615569426181235,1.1118216482066619,0.9934363328783813,1.1085739169142426,1.2439112263163599,1.222333808772172,1.185812743374558,1.2591394962618403,1.120166471376395,1.0669184089326023,0.9975628358863319,1.0030138925365817,0.9890381905735652,0.9207308246484114,0.9734675026691508,0.942594114016886,0.9540587288483431,0.8017835892963636,0.8531392933811021,1.0297840048880684,0.8399328362814439,0.804967332156104,0.8506492122295936,0.9412860533884723,0.8856529472960734,0.8417314812848411,1.0157039148735703,1.027736371180239,1.3731656402328398,0.8801425527701743,0.7380232719153743,0.7033707378514565,0.7981851640569919,0.7205063436368915,0.7631593496826198,0.7896411909571087,0.6494245910051375,0.5221404183841182,0.4564219541721214,0.4173904770087192,0.42169949813039825,0.8939768205526029,1.3240868536609542,1.2726452356610556,0.9651697416684909,1.2561286592684096,1.5702218687498921,1.1594575152946647,0.9367882748782456,1.7315929355169015,1.5808863282283987,2.967452000970871,4.17420100918782,3.7140999954273823],[0.4674219390794877,0.40435487157710515,0.5197742968367295,0.3529563873547665,0.44765538086261286,0.49443399733053706,0.33173211894676724,0.37725109771822035,0.31472113584550854,0.26903098073359644,0.3212896370377918,0.4209925514491987,0.30257021071168816,0.3277477631378961,0.45565563495392025,0.4014723673854013,0.4242721171731826,0.45749372678902456,0.48551221426646113,0.47475460415863197,0.5084560859246008,0.49417999664007006,0.7012628910094558,0.9894383549869733,0.5889023022516954,0.5638601906946463,0.5002687702614915,0.4046748727739192,0.4173857005744595,0.42546014733192616,0.522799158945215,0.48618705399017736,0.6541232474538546,0.6517093205688796,0.5068931966659765,0.47187738579305055,0.4461995134129182,0.418888048955678,0.3803738875929411,0.36854963135404006,0.4634494436084914,0.5492091218801731,0.4798447960274954,0.6620890265517597,0.9866739854958566,1.35760787207622,1.438741317050187,0.8738542317874053,0.7363257835730945,0.850032015678377,0.7275760907778973,0.6343675593110256,0.5515648582359589,0.48616306107275487,0.9080085613035817,0.5146398271891743,0.5761293734059574,0.5964086196865536,0.7278219900528617,0.891791444048451,0.625806016750413,0.6001033103698594,0.6233460798554599,0.8089671874826815,0.5848921877807105,0.5579796635706232,0.7996559496299207,0.600380526941388,0.7271814387649848,0.6125691482040746,0.8656553401174997,1.3668121242751612,0.8140771936222482,0.9519017599719014,0.6659935934741306,1.1193224072926442,0.6137802097461352,0.6478777699444901,0.5928989060805057,0.5804091249231075,0.5892051151293524,0.5421851322902009,0.7985835083067737,0.4078845261184411,0.3710313283646529,0.37696651294171835,0.4591997444168488,0.5898005720688444,0.5037081659540982,0.7006086799438036,0.637165922756354,0.7633107749276057,0.7146459199938544,0.7234881734844663,0.6237280534871339,0.7498723684748649,0.6835967267372612,0.578690573650916,0.4760843274023754,0.7331735803139602,0.45744605071868993,0.6204513822726233,0.4256893561926064,0.44462048181193836,0.5674408055421047,0.5707430590264909,0.8058776455915458,0.6211150994276148,0.6710339359743631,0.8488747068088697,0.6325489522579322,0.38002912401550976,0.30489687833511564,0.3052634506052786,0.30210531118065914,0.33485083715547104,0.4112538129123311,0.3855762093190217,0.7338954644922151,0.5510087028275988,0.5177717425884996,0.3966307828633513,0.39838190767630255,0.3131207238112956,0.3179768704781126,0.4207700372371518,0.45369330804602853,0.40620018650720424,0.43919237765749164,0.49625093289445343,0.47524950070423866,0.5720945104279249,0.44183004881515087,0.5431737994656509,0.4020030299519898,0.39054966458269036,0.6252310456418224,0.4452338227087317,0.38246630890212013,0.30282166723641174,0.418417650763653,0.5206483645408749,0.5201010899518161,0.3954650878070849,0.3387130850001215,0.36643221667532333,0.30927879016556553,0.3108178770212314,0.27869006216996023,0.33618146677983274,0.41771361386756517,0.4349249034375536,0.7568089052081053,1.490991328764396,0.9776963574082268,0.5547842597387305,0.38735393504275567,0.404607661783033,0.350457304417987,0.3758363252356245,0.3181659613822906,0.32992634592518805,0.3194346594199569,0.3108632226554967,0.3977231911570512,0.4492453977330212,0.40089913219985845,0.5063255560195038,0.5939162724802247,0.533597267871966,0.4452926801656471,0.36657980404421386,0.3630255358922418,0.34340490275318913,0.29315466966706105,0.4005231215641803,0.41002274875127637,0.6970264892748529,0.3672465760788055,0.4186430788447111,0.35004441332834163,0.3793146320444529,0.40047314046120847,0.4102578908455992,0.37573778340318537,0.41428375339551143,0.47639175807180195,0.5710480706028868,0.8805780356470769,0.5765755466300992,0.6726113186524555,0.5364498774226496,0.51071026791843,0.4983948405748085,0.48036750452226284,0.5270142646651157,0.5506524239652327,0.5356308907445875,0.5841107034737621,0.6305160106778949,0.7358129215234722,0.7855265096403259,0.6638611390265547,0.7603779280653162,0.9224930365564012,0.9012423363100831,0.7567980055589191,0.9212751092076992,1.0719131310632013,0.9498069415354043,1.0280364568079396,1.1678556111004736,1.1632307711106158,1.099424250841864,1.214151670125889,1.1321710812119459,1.329624592227334,1.0898844745242096,1.0762592638618775,1.1710323894103138,1.133650367218844,1.304322931271427,1.4678289679862155,1.7967720604256172,1.5255120319711024,1.2008249184369506,1.0964249655701082,1.1742030385472262,0.8817716090667337,0.9535056550233383,1.0650045600653568,1.0412852028122073,1.239636653904573,0.9289188893641769,0.8822126247830534,0.9534764687378435,0.8932439959402397,0.8410728622767614,0.7193285877466731,0.7569952045910838,0.8909484684621868,1.00106296547009,1.0601061473453839,1.2695560036001092,1.163504464635686,1.0077890767972948,1.1111571424940607,1.3380569732926775,1.0866810027908536,1.096657449046469,1.2298937354068724,1.257855899065697,1.1469031377566326,1.2839794709250578,1.406254252515547,1.352376912836511,1.3492969730970223,1.436551592441336,1.2920428393913306,1.2512574392828588,1.1747965019256787,1.1845085282260799,1.1855185146208673,1.086353696294697,1.1418142722776925,1.1195536871666125,1.130827646220021,0.9568884266155482,1.02773100200915,1.2024328079075144,0.9726729076940589,0.9016508307495343,0.99818671335688,1.0503088349425012,0.9466067913226334,0.9018457612322108,1.0698552691601462,1.0542798139212994,1.4324625362796897,0.9517560797397984,0.8513149646814504,0.8206620755604173,0.8914217062372504,0.810394992015587,0.8302825952030263,0.8814477261190398,0.745423745969752,0.5767977294347562,0.5574654800798465,0.5032980788812795,0.4954129268153619,1.0055263311396698,1.4858913225328882,1.401130065792035,1.024875116607812,1.4200999497034967,1.7191233155413441,1.1517520790944076,1.0243887358188295,1.8746077767099512,1.7367800556510233,3.105987634623268,4.524052199784745,4.06174553875096],[0.576821672821272,0.47367465050386454,0.5319138557757354,0.4178449173258166,0.495357579108187,0.5510914125358318,0.43786529208024605,0.4722022719402726,0.4169909900601708,0.4148751592151835,0.44769480503547965,0.5179258113704673,0.466344284096839,0.49292839946695843,0.5890020535298459,0.5525196294283365,0.5733635874633023,0.6097878887946346,0.6231410496093973,0.6070291983954877,0.6734191258677131,0.6570001953250431,0.8576450353223026,1.1848203380830928,0.7089249998363617,0.7061320377228323,0.6234508881578554,0.5581975777412812,0.5690743491837631,0.5630701720787591,0.6777293688186176,0.6062849869955033,0.7890937267480248,0.7820404191462826,0.6618745189814322,0.6217803387037962,0.5902445794508255,0.554774084025688,0.5371656507877591,0.5361415104762526,0.6116239275248011,0.6644897515547082,0.6376399681414843,0.7601584867137177,1.0865532403571134,1.4414021665926455,1.557982447916343,0.9877857764075978,0.8643414580381694,0.9900423528130471,0.839874261969966,0.7720720473980556,0.7059856613790056,0.6230286716041585,0.9681065465542132,0.6635227248033054,0.7097351254019919,0.735738531182245,0.8212676399363419,0.9478562038367659,0.7328621266654451,0.7298926411007506,0.7567032262002384,0.9454123476463137,0.7530684502158427,0.7291581831445175,0.934611450421707,0.7535726500701934,0.8584779157016993,0.7589468204285441,0.9408960448412473,1.408376544959923,0.9271216844840153,1.1078434739934728,0.7835815454912958,1.2944282928495525,0.7468813641104324,0.7852524264548479,0.7119378993082036,0.7093262734556286,0.7045644397740326,0.7025617673687952,0.9314247677217918,0.5478460476352299,0.5466519494835751,0.5543646789415675,0.6058407554644096,0.7175729514971938,0.6476340023905481,0.8044822439148867,0.7650517367237941,0.91688210029661,0.8594031037919303,0.850916462564215,0.7465860808604937,0.8514494093234368,0.7575718436993621,0.6851067650638262,0.5942224853390726,0.8724776894473849,0.5875841656297326,0.7026410209966669,0.5828108101370881,0.5643718154410642,0.6605281350317735,0.6122510206593219,0.7617882866202947,0.5990038910393121,0.6449276484250233,0.846430863598829,0.6254292095177009,0.4569364347814557,0.4283961839820788,0.4558838758769155,0.473258198126008,0.5014603439779699,0.5460812982418659,0.5576524723429631,0.8388750463232306,0.678056864477708,0.6205173345980751,0.5566706380277595,0.5664023539584924,0.4896633999525595,0.4631832258275359,0.5077736625988407,0.49945216831767425,0.5097995509891038,0.47861038800240974,0.5493356037167494,0.5149249980645222,0.5770255647267234,0.503192235363814,0.5813985974530238,0.5044710566310923,0.5163332729908338,0.7017632191873577,0.5644554039709895,0.5381459493853762,0.5079169281763749,0.5640808478745106,0.7582472327286607,0.7038283780745662,0.5689682653525175,0.5245092947613249,0.5374885917837151,0.4935507871472072,0.47898634579457294,0.46113402425034367,0.479607033209075,0.5161910451759882,0.5349206777337733,0.8087480559410293,1.6099930776193938,1.1299923655979274,0.674553852591628,0.5323882471299024,0.5298178351786551,0.5110780943644295,0.5121092347302814,0.5116496329535385,0.5035568267179963,0.4862232899187335,0.4894054918596721,0.5403010016804659,0.6157949188060561,0.5505063815315556,0.6382502447884384,0.6907271454577678,0.6513807831040856,0.5722340646881048,0.5285806265831171,0.5123356144564714,0.4807165397572305,0.4566016228305044,0.5425929803884939,0.5544072169825185,0.7948372685129896,0.5121148141011319,0.5512027258482485,0.4822015809706957,0.5121900558833963,0.5084162147441811,0.5323807387426085,0.5160610993858129,0.5487842240713583,0.6081726751667604,0.7147509438594081,0.9816225279991472,0.6849514505408321,0.7950882454218899,0.7113317040143734,0.6148421954746353,0.5979814078497426,0.5506365898461842,0.5855034152321714,0.5906886730513004,0.5129814544529594,0.5581104277874516,0.6272227228516151,0.6829668592090002,0.7463856604099385,0.6510355986871547,0.7142285247512419,0.8493186886042003,0.851310920273141,0.7383842668030786,0.8428772554656284,0.9750566126130598,0.8902753909144697,0.935448740729044,1.048826946286939,1.0811742754684874,1.0220943141877719,1.1004562412254184,1.0397945090796359,1.1987530220514762,1.0072229132955577,0.9659564104679704,1.042921098323607,0.9982366961589857,1.2486625496523158,1.2860045323364637,1.6849810329262909,1.4196722963641297,1.0940695007189023,1.0474912526517455,1.1351945178970408,0.7956294828545737,0.8339735133955123,0.9865128874342286,0.9455269866673404,1.1220514589382884,0.8457966587348149,0.8506832993126594,0.8718016893157439,0.8540451077286394,0.9407271607300363,0.6779173699160473,0.7224280703481993,0.849648428272076,0.9374175562449425,1.0239051146289337,1.1937285315113473,1.1536408378820868,0.9666525274006921,1.028606597589266,1.2802188497835303,1.052318102906041,1.0191234316803546,1.1489468166558,1.188257558594451,1.0610828809899218,1.1651699953396202,1.2946528884988437,1.2592382333916472,1.2274481946540152,1.2969492627028496,1.1535234933380956,1.120257237894559,1.0477723413190951,1.0584253273483861,1.0423340167246342,0.9634201131976801,1.0400163327592218,0.9779603530346138,0.9939174785827967,0.8448505071263581,0.8794718026069507,1.065180015333922,0.8962922393261556,0.8430067333543839,0.889783292083662,0.9947911050117186,0.9234247985074087,0.8881590160900994,1.051923859249513,1.0888951779836844,1.3955135150590814,0.9475561795880352,0.808777966124735,0.7785934570310736,0.8802454239381361,0.7872882210315878,0.8264488454047696,0.8559762569137693,0.7306573620594193,0.5804779620249562,0.5403396327995751,0.5029704345176432,0.5140407116282927,0.9587224533839201,1.4241242708152104,1.3743526453966257,1.020634121930843,1.353057042953064,1.7447687036892638,1.2534889591569902,1.0253334428183578,1.865053969506923,1.860964304123529,3.347293023197623,4.7543068651057325,4.32422831032576],[0.5351109307150441,0.44858220473934357,0.5575827750380623,0.4047025585811241,0.4639633568381413,0.5502632050627766,0.3553397080070877,0.38053477585718337,0.3010020225780113,0.2712480857494949,0.34334948766335893,0.4244780157860337,0.3517523500276546,0.3531001010454802,0.5280080392833132,0.4620940554605088,0.46200644847138367,0.5266692226766356,0.5402138744704084,0.5278861024261807,0.5602252584309645,0.5451514279738832,0.7584403943735523,0.9708480283749013,0.5915009791253604,0.5652984476653886,0.5492062282396903,0.45841146728864135,0.47488741550778313,0.47934767536942335,0.6245380928173034,0.547375073322211,0.7426626621049472,0.7505067450305458,0.6179428126020355,0.5644797939733648,0.5093590353736601,0.48397037309952984,0.4355104016216162,0.41052588648677213,0.4822884227491123,0.5716516374230539,0.5309430055985113,0.6230893009968674,0.9580177759986335,1.3690062042144393,1.40067360053246,0.8051207573018438,0.7074250696697305,0.8047803299390512,0.7014661669379854,0.6062716013100468,0.5672454820942439,0.4936277904183725,0.9617769398846303,0.5961883647535151,0.6411137297446554,0.645918687875091,0.7799960674229596,0.8811606033712528,0.6860340039357818,0.7118690717670616,0.7378292510499459,0.9228461598721333,0.6756771742903486,0.6415678002226799,0.8906175035043925,0.6848537947513539,0.7788730020063221,0.6591497489445935,0.9152726484110939,1.4705586423440684,0.8522277202815065,0.9730428191710386,0.7450872677383932,1.0996458251884003,0.7149401998217219,0.7688370201702719,0.7062415783183229,0.6691103652583121,0.6857173146592874,0.6181950832406736,0.8401735924683938,0.41483715242244706,0.4003999078885928,0.43885973133298817,0.5302863315110975,0.6492292480342018,0.599241411878064,0.7794659902056699,0.7414116362437512,0.859131821713074,0.8406161360928086,0.8325961900814018,0.7118916600783937,0.8424086802964594,0.7491948722577716,0.6355027732875044,0.5029875847387174,0.7273203796992724,0.47363421167586217,0.6080034621229182,0.44474852474869564,0.4813032819397024,0.6238951514205621,0.5624385558447861,0.8061128725275708,0.615196134243089,0.6714943001555526,0.8512958310604524,0.6085780799716419,0.3752060502418685,0.32770398928508776,0.311656180397602,0.3151502265410513,0.33304887214436557,0.43335251461975216,0.397724868741044,0.7882719662786898,0.6267306195547543,0.5584249821106552,0.43113021640927485,0.3928099091182309,0.32196689736910034,0.3131253631172697,0.39945086659854506,0.4797773077195063,0.4041156330941394,0.43834063415876456,0.49660269666113804,0.46157072237500707,0.5571475638035179,0.4063087756893065,0.5613328071556699,0.36598179351338295,0.3477074524908384,0.5715059330976325,0.4025216253169702,0.4009203117907005,0.32477946305377325,0.4044903952770318,0.5023150607058333,0.5300758195287907,0.4129188277108033,0.38651270822866884,0.4034959639918449,0.3317892641537676,0.35953618042962165,0.30573186968983307,0.35497877124767907,0.42334923213757286,0.4408321865683187,0.759424044380666,1.5361001198833264,0.9616641231136638,0.5609587730484138,0.3998568351858098,0.4318373777520465,0.38025325725433606,0.41192557399886776,0.33288407118267144,0.35614515549208386,0.3134690600953017,0.3102236912065924,0.38516760605502526,0.4730894546356806,0.3684478556501874,0.45142580382548203,0.5363066755710996,0.4821268429875209,0.3997052565714569,0.33560642657592715,0.33295624939364094,0.34073175565488456,0.3092595100201704,0.4117093815871784,0.43110445866564473,0.7310357183003687,0.40620234484589135,0.4375949010696056,0.3304218298062906,0.3694610508975035,0.3728813086069682,0.3854760313162954,0.37550222867449135,0.4083737444080193,0.43959467172109623,0.5782458874175818,0.8520222121373722,0.524728118674303,0.6281458102049469,0.5744212300367807,0.4881592992944328,0.4628122306765233,0.45142839915016564,0.4848726234803607,0.5161099293937428,0.5282324972169252,0.587869259737469,0.6357574503793351,0.7625044147751654,0.8272361701488447,0.6875004228608323,0.7706963594226287,0.9539272971738358,0.9310119007390592,0.7599868177806292,0.9280269463460856,1.1055261006291983,0.9700914999915541,1.0260736373791248,1.1804216382250825,1.19101612640586,1.1308180447247052,1.2144806038615485,1.1255603526047928,1.3456745582812752,1.0674315336776576,1.0615994813095038,1.179357278934143,1.1433417982891678,1.334291842298884,1.4523369592641917,1.8840917435122828,1.595911577433863,1.2799857681163205,1.1755884129967504,1.2883819970481893,0.9027855872332075,0.9617478694705103,1.087055151491906,1.0594617626898277,1.200655717021981,0.9153041677500692,0.9078489025600737,0.891570485208271,0.8701522361608222,0.828035185638574,0.7116151335827705,0.7649792467101659,0.9556691451010504,1.0695304668894785,1.148258581829448,1.349019523065309,1.2641503465797792,1.0771954188331911,1.1904086246186965,1.4176645472890013,1.170789611997305,1.1706522936209875,1.3240664054420792,1.347498243704562,1.2126750325904887,1.3538143629686803,1.4861535113181126,1.4107957364407229,1.397685130118864,1.4876909436169519,1.3310913066716903,1.3034561581242603,1.2271023865451305,1.2360174188660886,1.2294689863410153,1.1142394373282956,1.184168341032096,1.1388336796823542,1.1512270892482928,0.9609847020881996,1.0311226429363776,1.1876052829289152,0.9616285296347742,0.8836570659136846,0.9909008582618319,1.001075369451045,0.8960434807582892,0.8579531175375176,1.0086854359428032,1.032995025173439,1.3461346489986123,0.9281707724721536,0.8290627531047979,0.8122778601883986,0.8936556883679957,0.790486404638319,0.8069262701597956,0.8823111364949425,0.7453249283202846,0.5770433053917555,0.5528496887283821,0.4972318669969827,0.5310142855444833,1.021840714317375,1.5766069503842703,1.5030390228607386,1.0257829968656549,1.506404777411468,1.912447733341308,1.1931642081415212,1.0732820894885715,2.0378502515921415,2.058683409445085,3.494782239646189,5.0942994606993794,4.742442643747147],[0.555569684618108,0.4895254746356231,0.5819127848581258,0.4280023103881934,0.4891046607895514,0.6211147962293255,0.4489260601371471,0.475198875721195,0.4311603393158349,0.4240539671941387,0.46821425748894835,0.5128232378583286,0.4903777311881121,0.4808063667749252,0.6039419368574029,0.5783308262519802,0.5761970759772839,0.6382372639518555,0.6645717961759613,0.6386063683007717,0.6874793159052167,0.6731872831326179,0.9140352529665925,1.093533857261909,0.6877843575086843,0.6713180040395109,0.6658974397719823,0.569775027237863,0.5963537317050607,0.5728408942132811,0.7215758737726757,0.6380496195867531,0.8532995782160182,0.8332156968030164,0.7078307529950721,0.668616721534442,0.6263591173922547,0.5887470209632686,0.5491941797868397,0.5536553402641776,0.6175914019894948,0.7324894714423744,0.687182642299537,0.7698618472349399,1.0740213639531966,1.4425315095034992,1.5141373878323743,0.922111905423804,0.8204447204807493,0.9080665932973195,0.7996714953631886,0.7201892788200098,0.7397528912292718,0.645513892192542,1.0289029767558275,0.7054322706038337,0.7670500896037705,0.7680247839892741,0.8841495525772689,0.9799302803684613,0.8302487653099991,0.8450628996496711,0.8679522740226739,1.067555766200344,0.8418315587783407,0.7759796267102524,0.9815266651388441,0.8115295155651828,0.8990008848453285,0.7645137915994515,1.0383564169520554,1.5668843880836263,0.9528462821945586,1.0910224077743882,0.8609207167697764,1.202097472096749,0.8589025989108411,0.8982221552780155,0.8308597155844561,0.7976415699262301,0.7755929671171744,0.7314748813259868,0.8703332699137348,0.5569541158322066,0.5318408793849622,0.5560261276595383,0.671149890497033,0.7561985918845138,0.7247586527800189,0.8851641650316461,0.8554610855876543,0.9580069135364738,0.9269175335742843,0.9088282506659198,0.7715193448274144,0.8757329640977107,0.7732980330857459,0.6768207299384403,0.5623143597486194,0.8421282113257342,0.5754293086283319,0.6801899426931148,0.5639422752797445,0.5265166626666283,0.6274525114567313,0.6174128179991442,0.8091696504961315,0.6347219543655434,0.6806725245801957,0.8928833237733932,0.6355556535082096,0.46716096299753646,0.46168102465464184,0.413226057986897,0.4428409843717077,0.4591469165180222,0.538093844579924,0.55135658241332,0.9855743252296228,0.7462013486390298,0.6910710405685644,0.5534898734820406,0.5075806892842776,0.44306301029439416,0.44126187677618967,0.48220196322881104,0.5332964483625164,0.47337244961585556,0.4900470564304577,0.556016867320047,0.5066594397767159,0.5832456313759157,0.47087611181833583,0.5883357749320474,0.4637892483371872,0.46617552092030656,0.6227351639801527,0.5149378850332742,0.5152056658390584,0.4839482100882871,0.5448851054377617,0.5834873839781157,0.59502733808755,0.5447618523213136,0.5214923976960905,0.5151662472623895,0.4618919764584718,0.49645784241511515,0.4699404315731444,0.47516776509777997,0.49034161925924996,0.5245917607863156,0.8203369662403922,1.645972349015025,1.0508505098310035,0.6642151770281278,0.5028148883739147,0.5153470529811406,0.5090934822508774,0.5085622737556873,0.48932596732528316,0.4734543558746026,0.4876775688321829,0.4715368465257758,0.5335292351293599,0.5913560036721353,0.4758900711955408,0.5418092537627328,0.5649282759935202,0.5451393943383409,0.5054024714017427,0.46316977196228265,0.453456728010832,0.4502766317996109,0.445516965524331,0.5247875504977764,0.5426123199544015,0.7873747641710616,0.5214846864315357,0.5666002504884362,0.44576775955306963,0.46125985587498136,0.44947668085275727,0.4622759948161455,0.4734156108706765,0.5067984837346611,0.5605359568742332,0.6651416023933516,0.9479395648048291,0.6360048204322158,0.733539542247704,0.668337790804974,0.5642345915531803,0.5097211001099101,0.4817166615315757,0.5171454097950883,0.5786640081427069,0.5493984676230007,0.5860057337220983,0.6391637648910501,0.7384468975807879,0.8252357466835473,0.6876414423139364,0.7488312093179648,0.9403739870354929,0.9317030181821274,0.7412494298185891,0.9063823693622046,1.103657533230345,0.9675423392804249,1.012347167850607,1.1617744761176358,1.1950001163866155,1.1235931982715288,1.1849668821483832,1.0898094601406303,1.3080059968024838,1.0201085323583154,1.0365410567797904,1.1476516527792995,1.1201493968378191,1.3217958078804435,1.4065551758257073,1.886154144783065,1.6111962618949502,1.2975903837708191,1.2098846896089224,1.3356028121922412,0.907977017309625,0.9326965401058063,1.073583746263052,1.047663559760169,1.162080924324646,0.8837887387115911,0.8806490943688972,0.8236755233822548,0.8209433567993129,0.8320075235275751,0.6804897301656941,0.8016167372167063,0.9698528501168028,1.0761963777722834,1.1751856244483447,1.383190853058996,1.320949115024887,1.1028094031935074,1.2211121396679132,1.4697296940966154,1.2088828743804931,1.1911894236519611,1.3678664338962627,1.393218131051898,1.2378079298974707,1.373793404219551,1.5260512965989863,1.4463983484665428,1.4072334218952212,1.496246779980545,1.332339584573025,1.3117307080895921,1.2334984114137617,1.243633130882128,1.2224233921889414,1.0922264289057861,1.149874565308395,1.0955817885674053,1.1068094356382892,0.9216595823428302,0.9677411499838198,1.1250088849608202,0.9164164027368084,0.8345522611162706,0.9364586368281977,0.9545698462908226,0.887051104792352,0.8366926538798163,0.9804080649947134,1.0084301880391886,1.3010141267647721,0.8971457692741734,0.8030371512648844,0.7879793887721431,0.8748847507832035,0.759792673601509,0.7865651900517632,0.882249984915401,0.7094719998319537,0.586816355086432,0.5518065356601789,0.5208140094916451,0.5381588059680025,1.0395813260841567,1.6216777467500467,1.5813270626709302,1.0687937258440408,1.5373029865986505,2.029406648941929,1.3248415830127431,1.1288161862703534,2.075851261191899,2.2238777928014417,3.756559059039525,5.3984542353338245,5.114817512171951],[0.5279558120339937,0.47839470955225105,0.6115530135969207,0.41133323375261266,0.4581077022349274,0.5951958172251864,0.41567684566321067,0.4737242854220392,0.4008490604234689,0.3494497581520045,0.4091858543275612,0.5045856170051733,0.4603582610064493,0.4236127477257363,0.6246179529380632,0.5714309623591142,0.5707520227724912,0.6450267921458525,0.6629563310629397,0.6465597465591222,0.6927847466232142,0.6828961419117189,0.8652156990255628,1.0243099191418719,0.6913382682756806,0.6659858380562604,0.7007904050570088,0.594172313586189,0.5966760984124305,0.5809017587521149,0.7455962947688723,0.6696408473842267,0.8930493169644148,0.8881415730462682,0.7610548373495774,0.700025426278371,0.6454011116432526,0.6115224144312923,0.5510497226253688,0.5553909452571173,0.5878946697661304,0.6945355456884905,0.7031940310737331,0.6934573526542377,1.007873942359964,1.4053466463346698,1.4029256851567042,0.8260448450144207,0.7674743636278057,0.8582374119762907,0.7704028151684859,0.6827893434780581,0.6974597586117431,0.6148804543947571,1.021095311126332,0.7527503161060058,0.8015424311255267,0.7931291906731338,0.9357979728055101,0.9570047827138098,0.8509669163922444,0.8994639190335841,0.9253183513817003,1.0838462220795504,0.8595250324068044,0.8008453576183587,0.981116796612851,0.8089816386673016,0.8944902547583569,0.7711241924854024,1.0118788196765525,1.581088525683995,0.9539126804872302,1.051721247603782,0.899621772307733,1.1665473483148607,0.9035295731305716,0.9396462144652906,0.8864734034752025,0.8454593859364259,0.8387267841867162,0.7870767841794077,0.9471300275992223,0.5482279160520221,0.5372289413616028,0.5891642612172623,0.6887529798124502,0.7879505684004995,0.7635842931455462,0.9291659782039309,0.892347049377491,0.9981161189134456,0.9851696048873447,0.966323420656385,0.822444041454761,0.9382153687279313,0.8339050589249868,0.7144410256690629,0.5796735057737901,0.8190852675787473,0.5843568807233205,0.679309423546893,0.554025738973654,0.5413258485000368,0.6613705071602292,0.5987609267302686,0.8114849478601579,0.6401985878194738,0.703454538972918,0.8783406939133538,0.6277015764189253,0.43010542224406634,0.42905470264722445,0.3676707118176808,0.399289714202742,0.41668560282673944,0.5509984158367018,0.5346014300411762,0.9385816777428991,0.7724376475010167,0.681093729878719,0.5368894925434684,0.4479327239934711,0.38242884011299766,0.36635802083270624,0.4001504484881876,0.5166194318358052,0.43179084119828864,0.4616934750766173,0.5400450343672317,0.4788773250527141,0.5708818917537121,0.4145137896180301,0.5828155488397306,0.38963090013841056,0.38183411058648953,0.5574024529229751,0.4372968768276452,0.4749976661290117,0.4346925240630046,0.5152031208089768,0.5824237503830838,0.6081656028830962,0.5263006857972586,0.5198359797718044,0.5105048072264937,0.4464446973527351,0.45185472749714456,0.4172481428635951,0.4456834708012847,0.517102388685742,0.5255696312274033,0.8284939333345582,1.6509367364609553,1.0262766780938797,0.6637608524102684,0.49025583167804515,0.5282723083767747,0.4760146766001985,0.48639401015294104,0.44071070772256915,0.4609786884807538,0.42534360577719765,0.4260375394001922,0.49230945955023125,0.5426191604925876,0.4340972774377157,0.479058089385656,0.4856668391854264,0.4855741841657059,0.4169211052763629,0.39162939212539494,0.4165997926042403,0.42518132414836673,0.4203196362617989,0.4960057200564738,0.5213101692523652,0.8026484629934175,0.5001720222545121,0.543372349930915,0.4267229504632224,0.44219735391733256,0.4363165572913058,0.433447875565833,0.4414648675826696,0.501042111528765,0.5368299242275096,0.6825573998633397,0.9150820619300588,0.5847402484383464,0.6602046289219992,0.6494424262522839,0.5021277228557455,0.4395440636178936,0.42728556936383955,0.4749475763043525,0.5465863273218411,0.5269832486245234,0.5730174540416832,0.6293725058479884,0.7627451679467839,0.8605625496526077,0.6998051742652216,0.7702424330605159,0.9840739092788662,0.9670303910969943,0.779094150547033,0.9394318615169889,1.151015786195202,0.9986141947688778,1.0415394660765611,1.2155125076981392,1.2547182510778983,1.1732090811245472,1.236708096180281,1.1308998299768298,1.371181971194482,1.0325948853078828,1.0691254624799835,1.1996445168985563,1.1645183824716268,1.4113983707951494,1.4063773981970038,1.948973886486833,1.6779474085068509,1.3726504698174493,1.2575496520378033,1.3780000944892323,0.9693663852063489,0.968933463731783,1.0938711296162371,1.0643955244617127,1.14515771862399,0.8712208931010041,0.9039345410418739,0.8058664188639516,0.8607139502222266,0.8434594407385375,0.6960383060022776,0.7949292472935331,0.9882888302334215,1.1120009820238344,1.2412064786945642,1.465896663377224,1.3873491184132776,1.1535686394358502,1.294061364116394,1.5538722320550178,1.2592213755189898,1.250615187698074,1.4562853452678488,1.4751337848731294,1.296948992944106,1.4509988312570072,1.613567103549442,1.5263706482257648,1.468559900383287,1.565637655855921,1.3890543251503973,1.378522114686212,1.2921834776721264,1.3089570699444488,1.2821308854834048,1.1455438920317784,1.2227386615996858,1.1541045182753096,1.1574779223301743,0.9527078606989386,1.0078511169536828,1.1281123726505295,0.9307409085772378,0.8608662790253414,0.9526403400403696,0.9565795984867083,0.8638488480133418,0.8427222110221033,0.9649522120629942,1.0460964213248192,1.2650882250828082,0.9026075184760827,0.822185191197257,0.807957003700077,0.8852841860657895,0.775441147424567,0.7800872427532984,0.8515218870473605,0.7223118502702882,0.5658695754976485,0.554102109022598,0.4993411515995946,0.5580320399292209,1.0513556517959588,1.6671362158701852,1.6140975646690627,1.0454800904182793,1.5615300956469111,2.0852565806269663,1.278514974118822,1.1229140265861142,2.1139121247622525,2.3398110511357526,3.859882187191956,5.592607052402177,5.412049548828774],[0.728938697645401,0.692552894803788,0.8364537156164701,0.6063078748493881,0.623898970853505,0.7852914988699546,0.6442101191669855,0.710374143248498,0.6232644433197098,0.5383868843420844,0.577551230812392,0.7391952307395616,0.6236724289088246,0.5662241680406707,0.7669568635129144,0.7463787301422131,0.694802030306784,0.7755739585752262,0.7978983916828936,0.7856206260763721,0.8364444057350809,0.8365368243312744,0.9843206518691741,1.0636750081398387,0.8139338926384465,0.7898478030237783,0.868885162086683,0.7561696740409773,0.7589146754954681,0.7693383368525897,0.8793988234018251,0.8533199203490646,1.0800433316167266,1.0467270891856317,0.9390491426483322,0.8665049808265592,0.8432673011741123,0.8069865930178106,0.7438202802378814,0.7594307673451612,0.7435373908833041,0.8500525358537776,0.890816495179992,0.8273913448880915,1.0860779210262634,1.4755104770466783,1.4215141450072604,0.8670321127656668,0.8953042938702064,0.9571851075124209,0.8971369420932144,0.8123084122411443,0.8691617773102382,0.782704647020435,1.1221761125936125,0.9432691616748297,0.9749331257335482,0.9567853726177343,1.0811465618720848,1.0664859252441747,0.9866942001244311,1.0509857423089364,1.0722765619351504,1.2100940653363264,1.003905565663949,0.9481992714706351,1.0974835091690043,0.9404928703112523,0.9964139172935714,0.8940625825510085,1.1144656927692465,1.6967880429747577,1.0769644589980527,1.1548820568159115,1.0292504862034004,1.2658017614057808,1.0491409032520642,1.0891833077549886,1.0512616202515763,1.0037234297222912,1.0304354787506307,0.9923460481732425,1.1259576205845159,0.7647788463074796,0.7839429507029275,0.8184058578054767,0.8617071655079414,0.959092204344445,0.9207606891037281,1.0596731204012384,1.0322336670259182,1.1232118919487788,1.1201727218377187,1.0940794578679602,0.9504157169999746,1.0379860976535595,0.9521130995894437,0.8898608974632386,0.8017037543597104,1.0564243550281238,0.8181179144800278,0.9282845688942474,0.8034020250862061,0.8429305030088589,0.9704460345120408,0.8473333552891572,1.0620827479740906,0.870796431855059,0.9054117622545567,1.065676780932199,0.8325262075080805,0.6562756041225106,0.6312274166061538,0.6064862958741614,0.5971592333417158,0.570359376930641,0.688654032802963,0.6595635192367376,1.0582496517058928,0.8775577139482604,0.7702273465478038,0.6314285864219706,0.5317643244586402,0.5106312065532106,0.5428709626664435,0.5505536910248527,0.6869703679794592,0.6625320034181901,0.682026513885565,0.750453419759598,0.6765660818992582,0.7580774154194636,0.6454807442822296,0.8215177912563771,0.622677641060102,0.5936913947176833,0.6682602218007193,0.5607821039344647,0.6102485540806317,0.5801064376648098,0.6091115407800425,0.7276344934803629,0.7384664620847028,0.6512206747061283,0.6961797205012173,0.6892436848918169,0.6328669300009472,0.6580322758628078,0.6421032678977804,0.6559980804941606,0.7646866482950386,0.8113597681448117,1.1441512108608507,1.8879506866666709,1.2458146023804682,0.9715684222333837,0.7574813578047263,0.8253067484652179,0.7467962281955888,0.7624142426959373,0.6550040012357797,0.7092620396385813,0.6062443290797414,0.64151032753112,0.6878583421718126,0.6984272245755548,0.6063634398998977,0.6199619005891926,0.5930169488676338,0.606270438911779,0.555307869374415,0.5459183960454062,0.6069847338439868,0.6666524114448046,0.676479434994617,0.7826315415978432,0.7754804865794946,1.0029193874857407,0.7693310064002032,0.8467797155473533,0.6837476616325348,0.726947702041279,0.7110747883018528,0.7067971612365347,0.7037836005227078,0.7086277001954697,0.7273069542749298,0.8236517879963926,1.0300303943913551,0.7467165030050518,0.8208465845699258,0.8229790765150998,0.6990188998309729,0.6526749398684626,0.6698897171805185,0.733045619733884,0.7490105954983526,0.7433711210995668,0.7652448345642444,0.8139720945115494,0.9637245390242659,1.0639844848475322,0.900644485635278,0.9548009166753736,1.1884080160694677,1.159477428825201,0.9519613089252918,1.133104407197896,1.3660555241664907,1.1920437908449766,1.2297400471502555,1.4102913770880026,1.448155405882254,1.3433194635540502,1.4154391482636868,1.284345031644018,1.5367072054290989,1.1533885187968107,1.233728618930686,1.3928507832582562,1.3670355549701907,1.6543607022550426,1.5841317702517932,2.0923358064305195,1.8617959557134371,1.6173957894116762,1.500525515275501,1.6260887479480468,1.2527037923997206,1.1927046667233312,1.2964000953440589,1.2743459604948288,1.2928957571166815,1.0486432416062015,1.0841288330345995,0.9545184578459917,0.9967760496376066,0.9652685682385678,0.8745751007137673,0.9879120594080414,1.197106040980569,1.3269644340563271,1.4529474734843344,1.7005614697254339,1.59541017993625,1.3594966918976772,1.5384006002754207,1.8047992625855485,1.4643407189441968,1.4628712972177444,1.692936532451061,1.703749779921335,1.4959874664287394,1.681737953848844,1.8452909237536403,1.7396581378535858,1.6833313053426795,1.790675084671213,1.6102624663662373,1.6208538597506983,1.5277147558619235,1.547791773568112,1.508057257508636,1.354703381503887,1.4209423139671487,1.3533770191772758,1.3316003430841614,1.1422395224559716,1.200761459087838,1.2665099643273987,1.0735469053132813,1.012718321193224,1.1380000442227338,1.0882858216282143,1.0057267830576004,0.9555625150110248,1.0501624583570097,1.1295523974927821,1.3678803923690948,0.9876559482518597,0.9297376464371742,0.935164617056466,0.9763947106217491,0.8854654656528997,0.8768080925575787,0.9394160682474677,0.8607753010111713,0.7120056992391665,0.7492177523758261,0.6709499910411327,0.7794927755263008,1.1875984329215161,1.7583278719351563,1.7581583960673317,1.1561362732235854,1.6776746627757764,2.156650843601881,1.3394052388600135,1.250741355955051,2.1130663813398343,2.398564736098094,3.8037724793700534,5.621388971771813,5.526390599374024],[0.6241694018270497,0.598160555470143,0.7327696105750819,0.4886451804762202,0.52674372272512,0.6940442377457485,0.5278555424548419,0.5980016864735942,0.5146160593179607,0.4307415565908498,0.45070773919201834,0.6229852362402746,0.5096218824792215,0.47132773125444694,0.6705081255561859,0.6240520343547368,0.6160662488870756,0.7124015535659083,0.7743520498119277,0.7335204225937909,0.7973040699748797,0.7923191377391419,0.9690987152176542,1.092554616762897,0.7902623163686173,0.7650896201905367,0.8102776082104667,0.6923979963435142,0.6700566300298966,0.6503567244990383,0.7926533676978603,0.738714048791327,0.9636595457664312,0.924831455957716,0.820970105101476,0.7703891963618884,0.7325448115326136,0.7116358778201775,0.6575176287351235,0.6620362089767504,0.6952981594677258,0.8050588079545054,0.8178579237533395,0.8006584422642357,1.075189971984096,1.4464930640817593,1.4151250593401528,0.870268013901496,0.8372608477761053,0.9162461838513304,0.8475965397648803,0.7796127910063673,0.8016650232721729,0.701976361028479,1.0690247470163576,0.8616289478037145,0.9022069145303316,0.8812733656667117,1.0098828518587164,1.0250247267857775,0.9406915496838999,0.9674378448813872,0.986467198712774,1.180424445102867,0.9512634436494802,0.8724780980614064,1.07932101097241,0.8934870326887207,0.9723318187986164,0.8525612951873921,1.1117214486569145,1.7092858956582815,1.0553368716054683,1.1208076632235244,0.9713938426777144,1.1911670548557607,0.9692371646537222,0.9969742557311266,0.9542338461191724,0.9252249328334846,0.9113651813509406,0.8641895032619857,0.9810708785187694,0.6326811746645923,0.6422754054785096,0.675963909145125,0.7660474600609445,0.8425366471797864,0.8323774195860341,0.9494723553896661,0.943971213421223,1.03895487105673,1.0253685446827343,0.9879649884166287,0.8458649529678547,0.933794532094106,0.8369353228654504,0.7510603996121971,0.666184294671577,0.9763867953816245,0.6841206829027526,0.7975634899558071,0.6771632338391962,0.7213567516091958,0.8331634084258913,0.7333023166808829,0.9475519659581448,0.7328182768796949,0.7620980952300944,0.9811176230597823,0.6876038627685374,0.5211814394344216,0.5104452442218298,0.4832529506216139,0.48353909673295214,0.4897391921774548,0.6362060619682548,0.6368873386319436,1.0640388531951133,0.8513105176984135,0.764740158357261,0.5848163264365424,0.47751374582412154,0.420698041023244,0.4386305832528589,0.4620690109891242,0.5729500903561082,0.5114089625300429,0.5509467266196524,0.6145439148232403,0.5410370072965419,0.656168258107321,0.5059574432463747,0.6844991017376756,0.48415644789884366,0.46198460506788025,0.5895949638099449,0.464935500823298,0.513846412872758,0.5070021918936829,0.6076677330449586,0.6436403836724114,0.6745556730880173,0.6051494365251421,0.6316580600568956,0.6165252473969853,0.5409187973647471,0.5469799699569258,0.4984938808335952,0.5318583810937613,0.6506689510203137,0.6860853952135267,0.9693602073163947,1.7893263403447557,1.1586943944347716,0.8585401976412143,0.6440352880860893,0.6944894861365554,0.6055302893074503,0.614668430792755,0.5306082807860572,0.5699070450996426,0.5146062775767319,0.5360757952323025,0.6063249021374513,0.5857857324279783,0.4947169719236726,0.5113179060677194,0.4722297426314857,0.48352639707922396,0.448150606566975,0.44084270013715304,0.5079219777164283,0.5303577278648308,0.5304753086173695,0.633836243874128,0.635950515317839,0.8896812278550327,0.6201119874864875,0.6859614039304719,0.5477263835770649,0.5692697005614519,0.5550647677103431,0.5625843287932424,0.5693010326949209,0.6102841568877811,0.6341150908861813,0.7538193714141396,0.9768507962686331,0.6955640167242172,0.7562332329508541,0.7744481010198242,0.5875774634341241,0.5219399763667212,0.5169583214737636,0.5682774378542109,0.6032850392792253,0.5915278618228723,0.6167332689939362,0.7151081446829646,0.8262468027609029,0.949400881646321,0.776981705595656,0.8116298598528476,1.0559264215297006,1.0396325737863261,0.8080235622807278,0.9848808369005044,1.245514518015815,1.0662346851977547,1.0831571618627176,1.2727720925824022,1.3377580228871901,1.2038213658348547,1.257608761703615,1.1279905070348986,1.4136896887125072,1.0127620431830047,1.0976881279933661,1.2439344702501116,1.2139551545348584,1.5064589051796036,1.3993065425422284,1.976388736994591,1.797747636504897,1.505046948266237,1.398897943121372,1.5209994242613027,1.10024628769855,1.0316059204489372,1.1607414251898054,1.126055496213566,1.1370472167158077,0.9003165833394361,0.9668001450813524,0.7942555440959232,0.8905562567192723,0.9418534406541501,0.7398372424048806,0.8725388329219573,1.0967607634405259,1.2229899425369253,1.3865845595759068,1.6524891168469937,1.5691013086173629,1.290825341402458,1.443815313193701,1.739078955560903,1.4047253741516739,1.3832986393467017,1.6221988021245708,1.640117572758076,1.4008655041552986,1.572879832041912,1.7447740959925806,1.6485278522929407,1.554081298698108,1.6564895910674482,1.477926761383066,1.4915836388112478,1.4194133748811537,1.434290578985111,1.3699144998917872,1.2203597022163806,1.294086072454067,1.216439492637144,1.21375187640413,1.000781844829614,1.063775539987668,1.1130469612888187,0.9156305054932882,0.8628423506879599,0.9544560258908843,0.9479244889377292,0.8462259227772736,0.8093127711461024,0.9215685256420572,1.0901198414132436,1.2097820804272574,0.862283103361145,0.8148840977492281,0.8029725842868205,0.8554898291247809,0.7471896955536376,0.7445470046712058,0.8077921263263314,0.7019988312784635,0.5945957191923625,0.6182030759396007,0.5661206360162157,0.6501837459729617,1.109134095776351,1.721269662256821,1.7332236935162766,1.1034493986465588,1.6249685650612216,2.185520531393253,1.3627425884553117,1.2120083009780063,2.0963207407448317,2.4686565472902116,4.050241619590175,5.840352766641702,5.765614005502748],[0.5166962745597751,0.4413341615288768,0.5626116584453458,0.381038565596966,0.3952278278292432,0.5653110386816892,0.3920713599756974,0.4641731547558753,0.3947432046360287,0.34137120358957695,0.38075836696657234,0.5211184334429397,0.4343288991330924,0.38949664239223813,0.5872600179507352,0.571177670675457,0.5604989419635465,0.6512350754305046,0.7185734819449098,0.6761412958352545,0.7426411804470092,0.7296271999371212,0.9461814979148899,1.095224047885533,0.7380509395486139,0.7213438277394922,0.738557045960127,0.6277230167072492,0.5967620655230167,0.5783221586902342,0.7282503091513556,0.6653225087845074,0.9184568525725323,0.8633126463103755,0.7444665187124515,0.6941174098797325,0.650868378323739,0.6429758064438359,0.5918949906123858,0.5914493229356012,0.6433088745947269,0.7591486162551613,0.7556492836596284,0.7615190692186989,1.0774359913075042,1.4491810055786072,1.4554497113079143,0.8660623360529509,0.8362111309880172,0.914069161279164,0.8057709744310304,0.7324612771275225,0.7641465997877462,0.6556077561064936,0.9940533659954631,0.7872137789625311,0.8511015946624966,0.801290692426991,0.9356602109942426,0.9654975326446518,0.8782749887086154,0.8922117309304805,0.9052597988056028,1.109308220392234,0.8739278654512137,0.8016936816315284,1.0129958141845061,0.8247969589075277,0.9222662968878518,0.7819965436119864,1.0537176855772101,1.6491858713828398,0.9710178667659489,1.0732945018173683,0.8748211967088337,1.1843787475577472,0.8824247611909296,0.9119638821454294,0.8663319537127099,0.8411677897585577,0.8239103238394835,0.797681860741277,0.9152178867203539,0.5667376141849163,0.5630663956459979,0.5920803380378695,0.7025397735907266,0.7774225636133136,0.7612651553728178,0.8845944261764119,0.8636363853827135,0.9671087991256402,0.9403204240627403,0.9306355150639495,0.786155506192692,0.8744949754528158,0.7497487104456313,0.6850611094502452,0.5909857449052061,0.9302420318584351,0.610335337085146,0.7168081740324874,0.5879633057684862,0.6130209734235367,0.7098267214376429,0.6170086622943776,0.8264185621453924,0.5672469298490853,0.5948708425417265,0.8782197266741001,0.5293801982219164,0.38591060015065576,0.37687231701866764,0.37567835073850087,0.41152105578961823,0.4527512484600595,0.5990176779513298,0.6274280794965739,1.0559355091791345,0.8144479603869004,0.7420005964240568,0.5608539630306789,0.47357428319790656,0.39236349166981355,0.3470017723279412,0.35079396166075455,0.4257526018041415,0.3688000191702876,0.39455258373235963,0.4890197923949619,0.4016097925297841,0.5083290099711344,0.35821894714165375,0.5732298812401856,0.3609419005514978,0.3616954120910671,0.5207056598880612,0.4029179504636817,0.4892820082274924,0.4839687724526766,0.6007499940398955,0.6481489811293869,0.6602050584048581,0.5797308397135447,0.578050138093774,0.54810849153081,0.48208946936258895,0.46688304015728616,0.4093689956824567,0.4274617603078089,0.5422562212750026,0.588181582176955,0.8761759544605727,1.7207365299124788,1.1766231697927607,0.7903871603016291,0.5543039986441366,0.5849211181691569,0.5097493530961353,0.512737422980551,0.46090455194328006,0.49827709139947685,0.46814161654698483,0.47138656162589365,0.5742227439218311,0.5922709564863687,0.46571835787560495,0.5181541410035465,0.4708072712919884,0.4900749857847295,0.4233919758469667,0.42044451908675257,0.4510167602466368,0.4457627053952439,0.4442319377379233,0.5366706453263234,0.5609867531808653,0.8216270793256706,0.536234064869814,0.5936751555212388,0.4670000103528466,0.4668875451219946,0.44839296494283615,0.4600602478422414,0.49676009567147883,0.5387868488310875,0.5856949446628708,0.7179679112798374,0.9834787961498273,0.6729940625326039,0.7432530916413312,0.7530976613920873,0.5611102618936055,0.4420476534548699,0.4031351815798884,0.43247378269415265,0.49778212438003544,0.43515788150365103,0.44983718726947136,0.5517694220282657,0.6449707030307332,0.7950164537981771,0.6155875686006121,0.6325845837565639,0.8754817930851021,0.873323873847494,0.6347576389370959,0.7915379375574506,1.0424975935182015,0.8871618387081706,0.8998216469833894,1.0767168773354867,1.1647793417906829,1.0520008720035396,1.0644303036562164,0.9514968148464504,1.2109247384993898,0.8103403454936493,0.8910829796479743,1.0174881607502781,0.985139498430335,1.2822000995958518,1.1526963905803713,1.7926785285316587,1.6264326334263364,1.2996257326961171,1.21706533380223,1.3421920798693403,0.8682681779904458,0.8161508401314204,0.9948626547618862,0.9417687267379152,0.9537532104162502,0.7103396691525018,0.8434813743640223,0.614870313655128,0.7189977728627939,0.8276689761602071,0.5616953395650683,0.7287068078453194,0.9498471832944927,1.0568544892418623,1.2492023833996944,1.4774789391043825,1.4361847428859722,1.1366251567118262,1.2623210001987002,1.5747800023990273,1.2630525881988677,1.2065055932115936,1.4345317799334143,1.4615145790747428,1.2194855481135674,1.360964212523345,1.5382476669122356,1.462409157672349,1.3411016766776631,1.4284586379823776,1.2500517801110336,1.2651963345265402,1.2070154003793505,1.221925803096452,1.1415959356656342,1.000514075824313,1.0901529964072927,0.9921496436777155,1.0012957836604182,0.7972485820688199,0.8249518535727547,0.9217227838384447,0.7430411321473147,0.6737823485580652,0.7582788674532425,0.7769402092835489,0.7187616495629482,0.6701892490210084,0.8215081058319158,1.0012078177825652,1.0574440214915024,0.7427739911751591,0.663386413453367,0.6485837247307037,0.7677234991026467,0.6252257494313784,0.6409481748400955,0.7222475030236627,0.5422469631576905,0.4455291203061384,0.45340267918125654,0.41861763780011074,0.468089050327315,0.9771421285643381,1.5937392542473305,1.6585848348346686,1.0056273823446713,1.4799823114872035,2.126742514409314,1.3620755001994256,1.1081467970842003,2.027406102108814,2.442432477363385,4.165523357289093,5.879388318008565,5.749946666328407],[0.5061902666425441,0.41707969293981534,0.5197696276470266,0.36631045476687385,0.37905305120049204,0.5217792824545991,0.36348620307485585,0.4127710467207077,0.35182794460456174,0.32065542204133735,0.3598592784632154,0.4812137167018936,0.4105555505951384,0.3848960590593633,0.5800862321064133,0.5485273573281155,0.546954767159281,0.6252441087165297,0.6552678426546185,0.6324147757351645,0.6787599353267781,0.6578549587198537,0.8725036064604771,1.0315660550126708,0.7019334964879224,0.6829818258992821,0.696972248498545,0.5991193758357257,0.5745626425578977,0.5529387455747676,0.6829595205551783,0.6136586543150548,0.8222988027768114,0.7808533159688397,0.6752398802675591,0.6459783507755105,0.6018177910722193,0.605524109970372,0.5628205750279305,0.5515771850704809,0.6098044228626291,0.7083468326988515,0.6884475061730893,0.7196535842556141,1.025030487825056,1.4212174540733156,1.409441513993717,0.8382082691048074,0.8034866416366441,0.8827028341549759,0.7976862439393992,0.7125246645883306,0.7102315271606002,0.6152805210517645,0.9611355987925806,0.7179728670430937,0.7740542229658418,0.7514278915708562,0.8750829239587024,0.8984939907863009,0.7964270012025755,0.8003140178252682,0.808011838579757,0.9939724648966152,0.782741347064004,0.728344775082538,0.9519842369773781,0.7673383182538924,0.8534206817357681,0.7380733082729632,1.015611067645996,1.549057146066568,0.9096174807528984,0.9991464771181606,0.8098105641271903,1.1587415606825546,0.7895985365592821,0.8057651789559882,0.7730489801922229,0.7612332890338639,0.7561552589135817,0.732986530086624,0.8785120579699995,0.5253691221047034,0.529509073994764,0.5488538984706399,0.6511681294790607,0.7214810439483513,0.6942775940165513,0.8063754489728401,0.7872301251271522,0.8933764135076466,0.8455928458180284,0.8413018555277921,0.7397125020479228,0.8319671896281227,0.7381279666528194,0.6422234735672367,0.5353797842080544,0.8522717192869901,0.5397447499361543,0.6519610562363922,0.533717311492336,0.5437638617527242,0.6600651616645821,0.5602485180416957,0.7459524203382786,0.5123160764110947,0.5526278829507394,0.8275256919087209,0.4894162012059041,0.3632718202010065,0.3587685419319083,0.3694411625061784,0.40923845695822997,0.4312581849465433,0.5677437983570953,0.5701870341342604,0.9498037428143825,0.7650439587956241,0.6841846440485984,0.5233079854611008,0.444302356148719,0.37374058239380853,0.34296547026481233,0.34963486915233805,0.40232997167673656,0.3545057537931265,0.3707875339116448,0.4565068795107266,0.3752050242643947,0.46589821012432747,0.33919225915640194,0.5468464927730601,0.35560715104313684,0.35988012906758216,0.5253146979215347,0.4018105519451875,0.4828333892283235,0.4598193933997028,0.5584373211510522,0.5908946311918303,0.6225396874154198,0.5516832477022258,0.5447365779267108,0.5245109463811094,0.4665431708894105,0.459975550731727,0.38999473504001136,0.3982539661705364,0.48095404275684916,0.5068790111730211,0.759322946143097,1.6372565756226658,1.1471724696233494,0.6863422523483723,0.4939432093515439,0.51318211341581,0.47717176478166584,0.4725457061788949,0.4430793319047306,0.4685590451147818,0.45159585972424293,0.4492692472409348,0.5513944729705617,0.5602832476966573,0.4477042805676704,0.492396923148114,0.45965085388973964,0.4728075178144612,0.41309662396872115,0.39864348940552763,0.4361261427125297,0.4261316598364249,0.41240606650647565,0.5022059721645036,0.5299425038455209,0.7757566069399403,0.49543896178143415,0.5466373224186519,0.4388407619554455,0.436683909026911,0.42490461231741233,0.44326519773977074,0.482551893845914,0.5134028963198437,0.5615826189503402,0.687671685038982,0.9559631653830274,0.6524898897051981,0.7290341147125786,0.7344480401932201,0.5481967603920715,0.4379011454395771,0.3955077489534663,0.4166205323373248,0.48671908093649874,0.4018864966969911,0.4111886938241905,0.5016669460784188,0.5677639844460826,0.7093995068707938,0.5472463810684534,0.5602170136111885,0.7804235977870031,0.7898765919330891,0.5837020421633293,0.7054951365134393,0.9329195103240066,0.8022113235717777,0.811291025851245,0.9664293533616546,1.0703011664634954,0.9640352708933612,0.9626278760746608,0.8676529643001701,1.0796834309951882,0.7275433656550658,0.7880199219572158,0.8979138419498887,0.8642813168865257,1.2396048082291533,1.0091462109704052,1.6707503241053383,1.532682872176169,1.1926899733942014,1.1298787194865043,1.2711380676369017,0.7622489491718998,0.7156686130514047,0.9193115806368791,0.8674110550696061,0.8781082778003915,0.6396549352514427,0.8248935236403112,0.5726060165362988,0.6638247939712704,0.8231349051380324,0.49926664533072856,0.6726503220375011,0.8900029572041476,0.9744261654761807,1.1596951355234888,1.3506789309801759,1.3301200437341123,1.0434025752803917,1.1361117117287856,1.4430182564074951,1.1602377271313096,1.0930524868063265,1.2982905891528411,1.32975838410604,1.1060889465535408,1.2193224096232902,1.392801240780837,1.356912421328355,1.2200844207765753,1.289843483269162,1.1189627608396138,1.1269266375207967,1.0827303333176914,1.0994608290913959,1.0132338019299578,0.8912992771505859,0.9766617127674841,0.8786650304002607,0.8966574127004249,0.7095562911492337,0.7277143016461052,0.8235416463803271,0.6775434991409325,0.6073172040369378,0.7069129112496,0.7251026194780658,0.6849473970388525,0.6439157908207238,0.8163672139002613,1.024576345599198,1.0022770787241861,0.7192327307090215,0.6124050235630542,0.6026309603631242,0.7785063579433296,0.6227476511279925,0.6458686943195975,0.7215981915413198,0.5180560382565385,0.4316283288302104,0.42081391033234455,0.3929506155371822,0.4383704733631433,0.8987510138605157,1.490608812833209,1.5911696159227364,0.9498019212105618,1.3745733423792021,2.046128954595218,1.3455920078391106,1.0383497342004404,1.9333608959048783,2.3843057554646436,4.1747540305729345,5.807683134898059,5.654095213372249],[0.5433812204476851,0.4682966752089811,0.563907702862373,0.40669522452680584,0.4136699122806372,0.5553902256122198,0.42380029567787003,0.5038184161855023,0.44713802443697526,0.3850623684586904,0.43547567020170097,0.6047679149754009,0.49175256242940407,0.4434166750294652,0.6456643324121633,0.628355924922884,0.6281384480252364,0.7126769938068572,0.7821523671374854,0.7331279328958665,0.7910169984581839,0.7816499479886836,0.9588082607149763,1.095532512727905,0.8002785440037752,0.7841988659270323,0.8111524101192285,0.7017559739636581,0.66179295545165,0.6366329151288762,0.7626178094669792,0.7020240161553941,0.9354192677869763,0.8706242248223058,0.7679350108295689,0.7410336643667568,0.6984603584596748,0.7018089615642122,0.6599851080285466,0.6589109508789338,0.7187722490340898,0.8322861487149489,0.8227594882876401,0.8357682038768994,1.118941782388543,1.4975684379551306,1.4504682147053731,0.9113620012087535,0.8864920109430068,0.9595074101457483,0.8592338727546991,0.7927798953092864,0.8099865373944661,0.7041676473063941,1.0130771471590263,0.819771240402596,0.898572614922723,0.8351100134872053,0.954922631575482,0.985720336814658,0.9109350184022577,0.9192342372723213,0.9174321200285878,1.084036544324388,0.9042417123326622,0.8287098375878401,1.0535805854127114,0.8654063758987904,0.939799288795828,0.8419312727695548,1.1128313642395173,1.6477890310972678,0.9964194722687777,1.0470338320934964,0.9145994868897429,1.1807238110207992,0.8985319996391836,0.8976541130108009,0.8774019829312771,0.8624156621898904,0.8550368918740626,0.846249310185012,0.9496925652736488,0.6175889162363087,0.630674111341842,0.6587779570364564,0.7587535198339134,0.8075064746021532,0.7920659986547456,0.8949268155851531,0.8716268183166341,0.9461151971980997,0.9195565533705125,0.9220884073075353,0.8154799162697912,0.8940760956154252,0.7758756500626703,0.7352092755540698,0.6468134043473276,1.0160729484679976,0.6641060721394921,0.7744660793955191,0.6426560966559096,0.6540015404110129,0.747070815956605,0.6244717166414709,0.8008575770115862,0.5750711222565343,0.6191673596149575,0.8864943189632405,0.5601655774008795,0.4421302428490608,0.43822732048650154,0.43487346966517954,0.46337924868115654,0.5274841638639924,0.6678166224148395,0.7075977299862213,1.1006237410017858,0.8677583324630361,0.803644640683086,0.6275506523001402,0.5660772305910827,0.4508071696612747,0.367900891408796,0.37563848974535935,0.45145931501933484,0.4360555081677712,0.44571688569739043,0.5157598277285196,0.43667126472736706,0.5101392137342101,0.43508097786294264,0.62718197953198,0.4384536067028339,0.4309492863508204,0.5506579404532994,0.4641835447641156,0.5689230942278883,0.5610332351173171,0.6819963207438334,0.6865729153284353,0.7099386194554466,0.6494077672331653,0.6527600486410648,0.6230145383521224,0.5509786938987896,0.5226341917786161,0.4826789348367972,0.4872039053833706,0.6036995736806271,0.6593721122344456,0.9148882217588487,1.7197660610967662,1.2755507311785461,0.8582102528133251,0.6267907141954339,0.6412913227432332,0.560886681593966,0.5655265185299945,0.5322618182718531,0.5703056468058108,0.5474420051257244,0.5456910572051589,0.643076581068578,0.6659172153799935,0.5439255274384601,0.6040143856529288,0.5130359187899345,0.5404123317271098,0.47090478663391105,0.4867323740336397,0.5219796297810517,0.5231825757907586,0.517121700577141,0.6000208085754212,0.6208976759122427,0.8756413429806544,0.6031844863328221,0.6602519430361673,0.5405622384106271,0.5379762764626657,0.5295064440404037,0.5433242553549644,0.5794653609351594,0.6132543619941004,0.6450367182112999,0.7894897106386156,1.0296317856962898,0.7153257553608464,0.7773227802322377,0.801467900976096,0.6193519978835307,0.5131633448343763,0.49446549049854144,0.5168054420766602,0.5729798759505392,0.4903862921197607,0.4697352978600969,0.5418809437157023,0.6248817365672069,0.7778286019888371,0.6051141828338681,0.5992572855288304,0.8107288354918168,0.8202386456673646,0.6126636003480611,0.7280332161636184,0.9727169660846745,0.824704017418072,0.8189475938031776,0.9820334643961189,1.095370187667051,0.9665050908011976,0.9606819527381345,0.860335342164796,1.0797391309579414,0.7036314986472749,0.7753191141254708,0.908966017721849,0.8819490497832893,1.2581736606576188,0.9882008471115032,1.6832344974041686,1.5594737703706454,1.232349591731032,1.174867886606282,1.3318406340542897,0.817280388886406,0.761902665413137,0.9652532369545896,0.925001112406836,0.8920523306360921,0.6760607783731869,0.8796966006345651,0.6021511503025123,0.6941856762005086,0.8784485486969283,0.5630288424646862,0.7327594492503903,0.9335309551816804,1.0359431885078914,1.2417347444110145,1.4416789397132117,1.4219639649085036,1.109769451433609,1.2203553537953977,1.523229647430891,1.2262994848013489,1.1393916067899732,1.3652945848740374,1.3907501145638919,1.1548529201059574,1.2744781722186753,1.454103450532849,1.4156876247087624,1.2586398161429027,1.3338993103331658,1.1557806884617607,1.1805013299892104,1.1296057799125798,1.1487973189000766,1.0594614235997215,0.915744925398495,1.0005609358913305,0.895983250709043,0.9029120644957414,0.7280579100799279,0.7425505595918941,0.8007998388009971,0.6828617170457476,0.624741117959831,0.7384425553583114,0.7254380116048047,0.7021876391412587,0.6729105927079082,0.8509775756004873,1.064061061794244,0.9705871001751559,0.7278125121557748,0.6100051252192724,0.6103747458693449,0.8208776711045364,0.6692316932237843,0.7065392659751262,0.7871227742142924,0.5420531080467367,0.48653864501483945,0.48701731529414793,0.44448502221778446,0.5031029943030649,0.9123457640182994,1.500411905565283,1.6368435431443011,0.9367295012830793,1.3656134750442173,2.07769322156164,1.3336167664480296,1.0327547638679253,1.9085738778566994,2.4375263207442877,4.256194521706108,5.9737932376373255,5.912889032169756],[0.652836977728357,0.5993983201433797,0.6403772450296084,0.5038252008673505,0.5069854197579587,0.6301777870230257,0.4987922494356784,0.5285377557582499,0.48652162015038203,0.41502684791416244,0.444303358306777,0.5456502169083846,0.49392922969377634,0.47882350256789175,0.694086904784364,0.6381713872462186,0.6524077250440329,0.7592578296701356,0.7938206329706946,0.7789121072472406,0.8120815259991621,0.7842301396522675,0.9682920931764334,1.0903597521826736,0.8261646675313203,0.8063645436247705,0.8239053008549164,0.723075176676008,0.7002081024164483,0.6610030182963854,0.7655792097355923,0.6758129825417355,0.8327937670699199,0.8315316149899393,0.7479486135051782,0.748910835488017,0.6817512065859073,0.7284204550949662,0.6841810962100916,0.6670270249464506,0.730672582346169,0.7999227447838239,0.7850774129287271,0.8037524906689112,1.0766111956844642,1.4612178752692189,1.3875322171536013,0.922402550716243,0.888304631067875,0.9410067623731353,0.8825567995483394,0.7892667815670033,0.803970762081225,0.7093342959380525,1.0413130449355026,0.8163137379449074,0.8763524578013685,0.8209085875515008,0.9482522890207088,1.0053779474119933,0.9088030552696273,0.8836127932335901,0.8765605836298175,1.0591177681101638,0.9180775455933583,0.8341223012399478,1.048569241943904,0.8786736446239966,0.9683907116755607,0.8707974281468006,1.1224136456649365,1.6548985293389928,1.0212945610107134,1.0744028304921713,0.9190371454574866,1.1309818118211614,0.8747831689444442,0.8723711980472186,0.8484726389115181,0.8398207542603708,0.8389007018001868,0.8457855388812276,0.9475304440904861,0.6174929986499709,0.6381912209772802,0.6722023008577709,0.7565582062864813,0.8005549406903406,0.7893221714444597,0.8796567006984517,0.8536127531012301,0.9328375219480768,0.8676638461258386,0.8640265986123623,0.807234982008896,0.8828291671333978,0.7856976478924241,0.6968988868175369,0.5962603385657022,0.9033735783932942,0.5905669685737062,0.6851377330896803,0.5960281835216042,0.6136684960956468,0.7155435286831341,0.598458784834902,0.7510601265689777,0.5707664874779367,0.6090447028323699,0.8421747621264275,0.5724304231826625,0.458283974483101,0.47261778044474906,0.46594969809442427,0.484488127638712,0.5303167297682302,0.6635739552858789,0.6779566388773645,0.9955632693891507,0.8808295956337558,0.7952742328225929,0.6198336737686262,0.5548982125168693,0.4775282083504511,0.4322193290032562,0.4262265412076298,0.5026706242049103,0.4811338379300558,0.49111575890634035,0.5275732617863488,0.46584584391960215,0.5269687923234423,0.45028485019756137,0.6091326342449833,0.45137427180503553,0.45504432189627936,0.5488201501942538,0.4748532360978997,0.5787021991633633,0.5721360065067358,0.6664954529379316,0.6676447497186868,0.6957519988683918,0.6613398768153164,0.6633940919246957,0.6379006402005655,0.5694727099296554,0.5280500635574036,0.48610074823483373,0.49844835041204094,0.5669662029369079,0.6209077060787129,0.8338061664420041,1.6567672946564624,1.270739335300094,0.7615692954902142,0.5680614477363422,0.5893815144057841,0.5424916859155575,0.5478633865756329,0.5355365291287059,0.5793791510665091,0.5595128545263323,0.5495791926154109,0.6463536802956874,0.6733501619247267,0.5479020855058577,0.5969934737025246,0.530494456051876,0.5597752066697799,0.49044066628859956,0.5058701362576633,0.5274019045295744,0.5333259488053093,0.5167890104452317,0.5709483373288319,0.5977369697652244,0.815910518684851,0.5909795701253423,0.6240649497160958,0.5290758842788363,0.5233358184385773,0.5241155290585419,0.540562322106783,0.5794684750033184,0.6078130219368441,0.660251641017193,0.783818801312893,1.0288194786387537,0.7117003960908238,0.7851297384132239,0.7949011079876827,0.6337468152667112,0.5179238136945777,0.5077713545157646,0.5169626928201432,0.5796140870626448,0.501183566322159,0.48899580743077425,0.565455018535594,0.6317368224981568,0.7643726962240395,0.6183290080203303,0.6275595096465931,0.8154940754876856,0.8382151840409837,0.6508972326219312,0.7546724006702431,0.9808974744118745,0.8595288389476924,0.8500050963296001,0.9886821077591339,1.1093054316547908,0.9825834947000692,0.983493282413896,0.9037115165363873,1.0904008066934405,0.7572072899234261,0.8120073483062487,0.919058513727697,0.8812424434019999,1.34938132964377,0.9748897504206481,1.639078850940303,1.5327313624676067,1.1790583665232914,1.1500695678155985,1.3184602332827555,0.8057797607627915,0.7509388458019003,0.932304089406211,0.9027332502278738,0.8856524029844867,0.6661207739354496,0.8738748632728983,0.6280686380447548,0.7141556235435039,0.9035428929417911,0.5742269559645936,0.7218619673134372,0.9068411473009385,1.002466625842507,1.1800620052401725,1.351328269664907,1.3370775538476678,1.0552914569156677,1.157997886729393,1.431856829313375,1.1712226229074625,1.1133830307017287,1.3080484691383447,1.3404590343513685,1.140161515689076,1.2351632327944528,1.4041364805428134,1.3964652373458988,1.2565232944680498,1.30559742226446,1.14153067693933,1.147658289443225,1.0987756682292744,1.11332287931039,1.0433458202009998,0.9275181057052213,0.9687334424061221,0.8804252171773429,0.9048438176299197,0.7397602371919104,0.7527248837467965,0.80519010736728,0.7101875626635227,0.6511480692369535,0.7796692666968754,0.7511079740137169,0.7359138810273834,0.7196780376336163,0.893516534275431,1.0990199348539733,1.0015340022683703,0.7917214961737842,0.6913097312947306,0.6846705139224699,0.8923744584343835,0.7240563117921457,0.7475653175867251,0.830480806862924,0.6042467796109903,0.5563131782917368,0.5150292496024734,0.4876103146313723,0.5483903338047666,0.9092256390176502,1.4583921385473413,1.6011892079480439,0.9615364015372105,1.3313323538359718,2.026861531849432,1.3728615556471493,1.0510884332224582,1.846836690164885,2.410842922200619,4.264923578505127,5.88967552223171,5.785450545011743],[0.5251680435970046,0.47231741417396284,0.502227068281823,0.4152193148693101,0.41396179446513903,0.5047566953675288,0.40983297531508983,0.4285883308886274,0.38912297574077076,0.35044537533744236,0.39385886809047066,0.508809464380917,0.42234630473774254,0.3876846395452604,0.5130383986058885,0.5149736790880295,0.5050482749859592,0.5580207385588952,0.6033748026454058,0.5714790033968115,0.6007137925487556,0.5866219684209639,0.8369880366508616,1.0560148027198737,0.6463659548612891,0.6358745073998053,0.6455979171200145,0.5465835730103271,0.5151039093381464,0.5029108946724704,0.6065600537908329,0.5484317103792146,0.7690848675715614,0.716353521730601,0.5868817895995063,0.5620331106591334,0.5355278919297355,0.5323233309209285,0.5153003660414276,0.5184637865458638,0.5811327350018389,0.6652675483797489,0.6153515552598392,0.70887101080845,1.0279339159493022,1.4227913649159114,1.4762709365087063,0.8643994520110246,0.8020818186918984,0.9141396404393494,0.7806246007193074,0.7062896047840066,0.6924789739735636,0.5924478317812221,0.9406500011186975,0.6610130080944013,0.7057793049090475,0.7079152916538561,0.7998203124809234,0.9131099217878511,0.7278615723556278,0.7065997983893301,0.7190154433239921,0.9213653378603431,0.7033335948230716,0.6435947278947275,0.8933337004851538,0.6950024436084064,0.797566993827305,0.6614778268875778,0.9137130489856379,1.4361153975236876,0.823154031660664,1.0028446039853551,0.7009924010488756,1.1782168248668823,0.687226421945354,0.7192078380773427,0.666245764033087,0.6675060734821977,0.6683370403976449,0.692453879883467,0.8346545206882849,0.49587034520046913,0.5023619855197561,0.5103477124649979,0.5969944727132431,0.6494669707670263,0.6108225977854229,0.7382420389158539,0.7159368724220431,0.8528735737498333,0.7761296794712005,0.7786342642875153,0.6741100277567618,0.7787772739225768,0.6253554384050644,0.6162077595927428,0.5432655292715994,0.8569119447755448,0.543844697748424,0.6500553184803183,0.5237064863933449,0.5272768639045922,0.5945415118054237,0.5255339360455391,0.6550543316266838,0.5076827193159965,0.5672819176639577,0.8138364079354127,0.5314976758647686,0.4023265129279744,0.42912486579398346,0.3840695061307712,0.41630913686125587,0.44995165611315746,0.5445347754948491,0.5658715756781533,0.9438492931094451,0.7097132529358334,0.6535920040720454,0.5082704634377759,0.47566562359264275,0.4012972708932196,0.3561994182282079,0.357568462100782,0.42266838721986993,0.40380392845887425,0.4111543950097365,0.45701189620553234,0.3821049259872363,0.42732034410873615,0.38384338426469927,0.5148380332325406,0.39948757403001717,0.38864305275675204,0.5356175483199643,0.4375623637005572,0.49643691869979406,0.4916725268368913,0.5780564537683545,0.6143256318670892,0.623652846309327,0.5458974005379189,0.5309578335996047,0.5099564754162702,0.4521727286950421,0.44490021334712443,0.40467095719692076,0.4289084252106397,0.4838168611303569,0.5491850248888089,0.7434718103392046,1.5931836049241666,1.1932888809216184,0.6964492951340852,0.5254021196899374,0.5224028405714345,0.4698893565178459,0.45643831223492076,0.45510709598447263,0.4589134003761912,0.4509564768180999,0.4437613153704422,0.5438815159147105,0.5965131517556852,0.4850432172956249,0.5623135076014427,0.5239008646098882,0.5256402506890192,0.44992399065305416,0.44189048566130473,0.44582220628346614,0.42925862519821056,0.40692499704962076,0.47597327688472846,0.5041043536789688,0.7223124657583714,0.4722145204288328,0.5143494478157457,0.4345608898067612,0.4141342153587748,0.4253804822042502,0.46193773379890984,0.4985922484081616,0.5127712696880786,0.5606229928493213,0.6730839972645939,0.9497241771139411,0.6600661697318776,0.7495969830082473,0.7448216981115798,0.5830566946974682,0.49854211747536786,0.46196974491787796,0.47373123477941914,0.535747705599512,0.4069915191163172,0.40974209163386505,0.47468304211013135,0.4944887623107732,0.6387509811122505,0.5094374816772592,0.509845079707864,0.6855221031533556,0.7201163679531962,0.5607069121819329,0.6398650624092507,0.8344479558915904,0.7411683770717511,0.7454860292817317,0.8615737448890659,0.9870146278291373,0.8826422067511419,0.8890200818135209,0.8251101037958938,1.0196307106662905,0.7072427600585532,0.7195732929835839,0.8057406433814341,0.7572345853984365,1.2040916986030472,0.8736216140639054,1.521403601610725,1.4149590141518074,1.0559546400643094,1.0360018851931572,1.165643196394276,0.6548563590327661,0.6001574549237281,0.8264279230986351,0.7787377166849193,0.7770727579809402,0.562057894221089,0.8274991711926297,0.5818564054133845,0.642213932404165,0.8761955394499314,0.47014140806805366,0.6383274358352404,0.8248474435376714,0.8916046743176248,1.0688668936043173,1.2215650416178374,1.2532353771329605,0.9569486990220926,1.0122977171782441,1.3218087644997167,1.0817116589457176,0.9970863587068315,1.175492989031792,1.2174339362131417,0.9988878034262725,1.074054219556374,1.2491008095008496,1.2566887606174337,1.087114967599162,1.1357913949278615,0.9806307888694253,0.978486267582198,0.9471654682277413,0.9599316658670539,0.8744633063215853,0.7839503489527944,0.835104229625188,0.7491977580330801,0.7788602320322136,0.6167884024660691,0.6074151868594166,0.7262244516698553,0.6270676350505805,0.5679537480668965,0.6726175126486369,0.7566424835010782,0.7241260490999271,0.6938423396038615,0.9203052002286369,1.1259921920870106,0.9899993788969897,0.7832936992469215,0.6253177493591887,0.6050997518296373,0.8461629130768537,0.6812402440815936,0.7259098793749169,0.7520149315226189,0.5084792521523315,0.47117867096639154,0.41613944609397857,0.4063748695666602,0.4692295370338584,0.8438249525230147,1.3810838271068882,1.5349529083726405,0.9549889981034028,1.2657203873786014,1.9779498115483447,1.4390988093616435,1.0085099016369772,1.8640879226669183,2.315241207008872,4.1511144877023956,5.632643782210979,5.4161945520127235],[0.5107119396365268,0.4779552885176724,0.4667874554631422,0.38558903076453754,0.3780936111811493,0.4523805911139032,0.36405798006024737,0.37788660939763075,0.3513739527754471,0.3133564143572979,0.34504637773991276,0.45056761698559206,0.36576524587429105,0.35619031821804475,0.4720772023056915,0.45744046573553593,0.47943914428414347,0.5049217298435376,0.5719840873766867,0.5382523437105893,0.5647230495581522,0.5591463029612235,0.7950740742744613,1.065193844795285,0.6411787169635467,0.6326177102176342,0.6256095710978106,0.5156265767671125,0.46526939222908426,0.43837677416966253,0.5224499230073355,0.46510588729289143,0.6595484226846957,0.5967270237655189,0.4846311021851614,0.48629882214715303,0.4735318571575823,0.47421181387805134,0.47219478053030234,0.473202577558997,0.5499267774525826,0.6266879548034464,0.5665601396941501,0.7179597888502085,1.041098168447971,1.4188224720503835,1.509202335213468,0.9123716731599019,0.7954704281726556,0.9224290446109065,0.7665354851884556,0.6965129229276775,0.6668821416709225,0.5609142564997167,0.9065797300768348,0.6202052124737968,0.6649136365162909,0.6673842376859108,0.7445729131529041,0.9383452861186272,0.6896316402501148,0.6423847619927032,0.6500184736738099,0.8627887139484164,0.6576959339912465,0.5761004534821511,0.8402208346230956,0.6380666750768922,0.7465998141789747,0.6198799230908821,0.8559423803152063,1.2717241114697646,0.7574689588277047,0.9746406945696839,0.6460050955047772,1.2250063075998163,0.6201618136110653,0.6327018743047204,0.5785119656802792,0.5875896943933393,0.5864771557315875,0.6154522720053544,0.7653602102855066,0.4382477747105839,0.4730104219431245,0.4430595597145747,0.535258160498454,0.6190941092653156,0.5442011946208821,0.6355283730941323,0.6394277262897294,0.8013970984759828,0.6954881753987512,0.6568291315711613,0.5657370858692773,0.6677101458614499,0.5426077449357544,0.529619220265925,0.47751374494698456,0.7866022641527354,0.4748836820811334,0.5884122608933623,0.44847829808440876,0.460129254188646,0.5409298308481397,0.49874783089029173,0.6105709004692031,0.47635831054007166,0.5236806840508597,0.7727067533387965,0.4929041752607048,0.36323036825480876,0.3945539424409581,0.34142250454425416,0.37853543314370425,0.42928477772280105,0.5265647064746285,0.570087492865972,0.9289978774213289,0.6773219508407774,0.650985915188776,0.5026770795635923,0.47583083800848996,0.3728563539078067,0.31039169012269574,0.31321494855939214,0.37064250626010375,0.34999549490268816,0.36503199229771316,0.4216480861153263,0.35299696888800075,0.3844967161502661,0.36327197429077723,0.4519027197870254,0.38475341817185615,0.3701155231268251,0.5039652946630984,0.41116285305600475,0.47104046472297834,0.48737302577099156,0.6051763935448435,0.6558025046841429,0.6379096824900724,0.5418865919111979,0.521106112779949,0.48516039151236207,0.4261449682401453,0.4126972668339499,0.3612733424937446,0.387623020069146,0.4415000491959312,0.5011126974377152,0.6761306785978353,1.5177260679210547,1.170745254618872,0.6399034590365886,0.4664948999616855,0.4515575987789349,0.4133192874802083,0.38841820512624897,0.4194398079177327,0.41633114104379737,0.44007992355939063,0.4354180165623897,0.5429464471658205,0.6017167082887471,0.4943060493303673,0.5841783863896918,0.5367777718165576,0.5329175542514336,0.45560157048085687,0.44107327208781144,0.4360125547743009,0.4001063252371108,0.36529747072161406,0.4459864188771023,0.47545077938572433,0.6711342520210316,0.4211437366519255,0.4728273512189147,0.40033175986009384,0.35876641778528073,0.38339124307735595,0.4338547639568417,0.47369490738270137,0.5028947903607516,0.5403789953436475,0.6574061898172175,0.9427479727843595,0.6856334914867963,0.7786509222201846,0.7539058467595461,0.5987979263699925,0.5247198068613618,0.4607977092751978,0.4584397302656318,0.5180529031556629,0.38693465680793404,0.3858474723249759,0.44148520678048264,0.42657035345943517,0.5774624810542914,0.4577385779185748,0.4467630933939207,0.6082445336848602,0.6586941965681773,0.5044398625007016,0.5690333602948818,0.7527623827781419,0.6821030562812644,0.6847418510139538,0.7856266714098221,0.9286444127830501,0.8176507229562943,0.82627741807408,0.7868582809487166,0.9704228664972185,0.6594934541267633,0.6565873766883489,0.7230561061196212,0.6621018350458994,1.0904644095278317,0.7666014787333912,1.392878759459514,1.3565806989112903,0.9684859567221688,0.9574853644166006,1.0770415246421388,0.5603582488339451,0.5060402995017963,0.7482337358455329,0.693363773157002,0.7027105188638447,0.49483853153740553,0.8036386413657387,0.6097196978171797,0.619621522899116,0.9057186608623092,0.4292972169988232,0.6066306873670189,0.7619138089613956,0.816248333661042,1.0267646864315039,1.1465730153291462,1.2152195569972637,0.9089179191014272,0.9316143055499004,1.2413210844582725,1.030278376804278,0.9160273424883489,1.084156539739722,1.1394251675593385,0.9144028763607848,0.9667870179954411,1.1501002418435884,1.1922952572445125,0.9940279174091505,1.0255242010623729,0.879052201948762,0.8697699862527395,0.8452990258421563,0.8648009266223526,0.7575641491586234,0.6905744253683529,0.7344856188887632,0.6547267755720705,0.6931496997335485,0.5469876880747764,0.5252321366212999,0.6728224168050891,0.5953595333167897,0.5331500711794064,0.6435463789534493,0.7808941947256853,0.7472097977177571,0.7060997818814089,0.9765114722340387,1.1940555222081826,0.9752040482838732,0.7890075927344803,0.6044856811636917,0.5767234662540289,0.8356778535633399,0.6757239081659691,0.7342578380013667,0.717516454253164,0.46102455815848425,0.425337915472875,0.3641686653078589,0.3603717972330163,0.4060666213319418,0.7884031843930361,1.2838754154839653,1.4892969631834871,0.9431122535469635,1.1783771491622974,1.9040248680525085,1.4914956363659222,0.9813477832632743,1.781024411258568,2.2192670798302316,4.06715028246117,5.384467499345108,5.118578837119729],[0.5099299006667394,0.5078356072839244,0.4632206779348749,0.4219764835759572,0.42450543806837554,0.44890645528444745,0.4132195739357354,0.4597300288408628,0.46595890518261057,0.4949641325135688,0.5814867162177741,0.6809359443362107,0.5876586784357333,0.5760190251868251,0.7730445513434107,0.7327427606602551,0.6275044655878232,0.6790157953396323,0.6878327872548865,0.6782853906476359,0.680056186874997,0.6729803029548443,0.8726865617513918,1.2466869899761797,0.7232543746611947,0.7224107568911293,0.6875993184369644,0.6046292646510864,0.6266045512300465,0.6731740710061316,0.8027154957298256,0.7434435968503628,0.9691514178370483,0.8931911560913067,0.7728488167309326,0.7394114649845208,0.7149067902145708,0.660086196098425,0.6200324740151627,0.6298035129707789,0.6560119414991061,0.7408425114926276,0.7011378895379576,0.848421566381008,1.1249402984405248,1.4580811424857656,1.6620599715424156,1.0455888947631058,0.907706880426817,1.0217104146261706,0.8814796017712634,0.8429562622833092,0.8454699580326334,0.7219633129657583,0.890454367658608,0.7831940881471443,0.7974858344543233,0.8358844301176783,0.8790588937837542,1.107394614570172,0.8242891534208301,0.8567404971979353,0.8642290604329151,1.0229831776701064,0.8000331514120417,0.7555096388917567,0.9381683525917546,0.754065149786069,0.8288107311676209,0.7879303347756174,0.8811403158592138,1.1352579489885464,0.9012729099128712,1.122531933509794,0.8293648576198734,1.5554994771583754,0.8167423269869695,0.9019946934737505,0.7778935079251509,0.7825882716226542,0.7846481905700317,0.8193256178585934,0.8743161346476901,0.6133194690205328,0.664240242287871,0.6403290406591374,0.7370315076952909,0.8802717976368939,0.7925440004085084,0.8856943038824516,0.8900405836401477,1.1586190812972543,1.0421180403912107,0.9949668376552188,0.8741374537365535,1.0377409059808715,0.8886095752364314,0.8728666456444812,0.7870736317472474,0.9797698683441,0.7706718447422383,0.7717178843622551,0.6894957900145072,0.6453672101031157,0.679161824797323,0.6448021066994922,0.6828126656406325,0.5729699524520641,0.5752661572516066,0.8163572315709493,0.5561898612172166,0.472349647694268,0.4877992048436922,0.4548516754001555,0.5163397461751353,0.5129724770920766,0.584902391985046,0.6122792075315602,1.048221535627328,0.6804615916817066,0.6597596273038049,0.5501412607381582,0.553130499381516,0.4564755578326252,0.41147719875125777,0.3964266865992837,0.42555626728605417,0.41881210091177495,0.44945547888387094,0.5322934713775164,0.47527614509951627,0.4779308219256638,0.5059500981518418,0.5283008757847524,0.5079876436131062,0.4919839623929208,0.574474985847723,0.5083797348279839,0.5357460046726802,0.5579071116303533,0.6904963134837012,0.7842524117939659,0.7143816749836737,0.5965875992897594,0.5941288056757851,0.60977808185417,0.5394107283540739,0.5567617372257775,0.5366184894986374,0.5322290194284982,0.5676406485001956,0.629249692292711,0.7721952975302722,1.5323793229749973,1.278248557542299,0.8121113996840266,0.6871294026653191,0.6352813515313238,0.6212902527239682,0.5650959212669017,0.595984807362417,0.6018376828089231,0.5310925931191662,0.5536614442895111,0.6231648993141881,0.654379738313544,0.5816977005645952,0.7066453669850002,0.6550924338493302,0.6398955959968423,0.5803508735424975,0.5536301644572409,0.5421650740728368,0.5319731274951989,0.5515448225168879,0.6375654448194417,0.6957575769005503,0.8390139854382949,0.6212123589046006,0.6331093437609744,0.5357122105879468,0.5364298470957843,0.5145447742826645,0.5811630869685303,0.5816725069201335,0.6259524107024981,0.6731225541683667,0.7532256695666342,1.024265623934866,0.7839314355936771,0.8602917440118698,0.8302897021031136,0.7083881422442087,0.6805356901283159,0.6208771664295701,0.6026146747497598,0.6177545398526642,0.5281853403338896,0.4856619746657924,0.5534841390668178,0.46710999181768187,0.5875543182335026,0.48978056055928554,0.4517455441007579,0.5645695013001809,0.6314680069269889,0.5004198730458381,0.539249116611425,0.6954590879715996,0.654029658129833,0.6505110610718898,0.7286713313865947,0.8829342237461516,0.7692325463768832,0.7803381821121036,0.7498995893305821,0.9008058312038357,0.6801169314726643,0.6185231346688193,0.6559598854115057,0.5868853994491255,1.0468312011510823,0.6816151315667892,1.2447554511062886,1.2868508679039148,0.8767055325840052,0.8973398366801815,1.0051501586187805,0.5600986082605344,0.5082106312604688,0.732564557170376,0.6761100144079887,0.6676887059762923,0.5287451837307212,0.8851927209429301,0.7440835583488855,0.7021627993169876,1.082473000371899,0.5124209081873298,0.661699343465688,0.7496949964819524,0.7925179783565287,1.0136344422108443,1.1236707844760099,1.2157940051384617,0.8971413682965305,0.89586911123151,1.1944592983965754,1.0184059805940215,0.8577225053096238,1.009151452898761,1.0765675999468394,0.8503627584224811,0.8804438385608206,1.063541008205058,1.1312850075947014,0.917680692920667,0.9327835104251624,0.7943237938250337,0.7850467366601231,0.7680901769280369,0.7949521734967073,0.6624515471133496,0.6223909885863886,0.6461872434755458,0.5688372539759713,0.6123650909031799,0.5139821108574683,0.4832661421083868,0.6537994356183873,0.6182311738468209,0.5764459292822709,0.6969841136501416,0.8772792505904086,0.835602615003222,0.780840030315732,1.083618470285076,1.297681193403319,1.0275563359688111,0.8416546712870235,0.6312129337285514,0.5824902987521017,0.8573876372537385,0.7275465744509727,0.8275620074716581,0.747273533217587,0.5080474474964073,0.45895978457929576,0.43571579073154615,0.4367901635247485,0.423714478903671,0.7753567732690156,1.184434108870514,1.4735263041129745,0.9575782195955345,1.0721853818428975,1.8101361112960106,1.53709512241274,0.9545469722206102,1.6925755019058613,2.0976016164447064,3.937057977785197,5.149123529119819,4.8998561099622],[0.470105066928944,0.44678163589956993,0.44180025174962834,0.37518785714307257,0.3934985050096488,0.4497353690956335,0.3727279729621617,0.38326456358124467,0.34591487510817437,0.3238653251435754,0.3344839143069445,0.42787347914909873,0.34794840325393356,0.3508694905506028,0.47500066501707155,0.4516477203206699,0.4476941908055508,0.479246546255188,0.5326683207362252,0.5116328142785888,0.5219291585737812,0.5206675723811092,0.80204954159135,1.1316931602562108,0.5996289862725543,0.5918277376361663,0.5502541485898643,0.4520462259723262,0.44302243237212624,0.4277709824996782,0.5255916738529554,0.45942428207757724,0.6667852324590158,0.6095315582603569,0.48271131530480227,0.4667477705183206,0.4783941946046926,0.45852151384738044,0.4639891110701619,0.47340352291218996,0.5530773477991687,0.6345499281004018,0.5693656443726071,0.7695611926770148,1.088203792333907,1.4422764506970158,1.6049734917351315,0.9875422904200286,0.8346470620681851,0.9677586350529634,0.8108591588877231,0.7475441848166294,0.7057564528911786,0.5830236114564535,0.8677655327462676,0.6144301079188872,0.6532750758551581,0.65259390894667,0.706203779200733,0.9548395352570995,0.6612612400958887,0.6354196916654943,0.6369920006436225,0.8428586752085524,0.6277159170670318,0.5553379639829248,0.8000289087008624,0.5970071603299981,0.7501499896794673,0.587590330483102,0.7993582057281827,1.197963653529264,0.7471888988365941,1.027608811834547,0.6156734249403196,1.2776587552297238,0.5939091169290731,0.6384347578837312,0.5483417995092579,0.5666791063884399,0.5653539234864643,0.6100508016591858,0.7215036142955042,0.42188598160994056,0.48742898335648005,0.4383931206259918,0.5181323231750311,0.6383178200325423,0.5268899916973491,0.6394470805352849,0.638633482265487,0.853529722445971,0.7434394508083243,0.6910621951377498,0.5812272976163542,0.6919568241927231,0.5456474861596621,0.5299635157147743,0.4584996044059693,0.7570956893788621,0.47396605952153026,0.6198151251023869,0.4362298210160565,0.477424859153849,0.5332628999251321,0.5535346873203639,0.6562955855291961,0.5163685827708072,0.5668511189877424,0.8180501667494015,0.5586553526702694,0.3978752522838276,0.40447638435451094,0.3554138001731001,0.38456036364393337,0.3857991483739687,0.44577158931617444,0.4737470656756095,0.9165974385621483,0.5732194618239032,0.5591407377846304,0.44043976009981833,0.45122736552597903,0.3699328612855438,0.34947137897054353,0.34081393042949676,0.4092944419176916,0.37425865806712405,0.40215836135814503,0.4578735138008419,0.39646531190135764,0.43742235250008743,0.383716974075868,0.4782894126641156,0.39299109971934565,0.3810592646912793,0.5310745433315412,0.41944278436425136,0.4282149851049631,0.4359097699681695,0.5085356972260414,0.6516172496399006,0.6039578241589716,0.47919109720800457,0.45255898376858184,0.46665868482008327,0.3975264078134124,0.3900510731150297,0.3687813456162164,0.379767631510916,0.4332677416913886,0.47088866596093576,0.6459766860064345,1.5120718210465653,1.1347074041729877,0.6008947019852127,0.4497632659775886,0.4455805099775434,0.4072064226903672,0.41111914127481736,0.452714818466858,0.4314422192069564,0.39914420771580655,0.4086386554628238,0.494821594104125,0.5424146744610202,0.4546656929928047,0.5609107617546447,0.5636488563029087,0.5372692787616373,0.45911397130979886,0.42661085166186746,0.4232673310726458,0.4009865171830233,0.3645051236252587,0.4483385988134288,0.4857178985942289,0.6703959510181351,0.42626543067522654,0.4629243104518121,0.40450397279903755,0.3990068297304307,0.4051337424974616,0.45433912594804404,0.45478053483866915,0.49524833674325547,0.5610672675946666,0.609829723778607,0.9681236130928701,0.6848075426274722,0.7665713381714757,0.6940882008509746,0.5889250923348245,0.55351311461262,0.4853795480659739,0.4964402362047706,0.5159434451475989,0.41622951785254786,0.43300195288740123,0.5242155246001546,0.49841116327890067,0.6239955403184682,0.5240798965782005,0.5122529170707256,0.6622047853886114,0.7168476073803612,0.5259780534455577,0.6190513140654523,0.7887557065335224,0.7250086028270553,0.7271462804039052,0.8274065703432408,0.962822357972937,0.8401966675740462,0.8499213093637209,0.7893170186449529,0.97248295491231,0.691018103779988,0.6843013321471118,0.7503268930486285,0.6941573393506817,1.0672729917333712,0.8527417408412299,1.3975460679852654,1.3412694300107155,0.9354441005984044,0.9190632589390598,0.9886047506888581,0.6009040496856812,0.548907661614051,0.7610631791490756,0.7112573995531768,0.7825792271429722,0.572339523090002,0.8036102634256548,0.693642015359222,0.6621962047158741,0.9566734346716864,0.5013642995761018,0.6509425460455563,0.7513894857984761,0.7994421662168134,0.9866064711820957,1.13785946823449,1.170642659966221,0.8982720095136542,0.922021222916714,1.2299391919668874,1.0337769491727344,0.9166563932204028,1.0716119057552391,1.1388093947020255,0.9289258078194991,0.9783327180092285,1.1479399972364774,1.1748493729555254,1.0244883947231662,1.057916318196966,0.9117211866815823,0.8839060249040093,0.851458244673607,0.8642698995799521,0.7763827789625425,0.7235384523256042,0.7666154407040529,0.69661846695867,0.7318558106015888,0.5996448059750471,0.5809634204345828,0.758906365076124,0.6422856898433067,0.5851964334685997,0.6907979147356372,0.8172446123206547,0.7831607733927257,0.7009425972115307,0.9513875935782182,1.1202056681249037,1.0746923851979835,0.7727982662838506,0.5980967195345049,0.5694450478204707,0.7666002680071178,0.6309477299048614,0.6993952716831351,0.6899468635430204,0.5028590303663022,0.4430961730401863,0.42274461699400984,0.4176951917533713,0.42929818185232543,0.8541135694999803,1.29429701156788,1.4682557294907659,1.0203804929077587,1.2055400706488282,1.8484919089762648,1.510842030739164,1.0331817472007023,1.8131994416117287,2.088879834571107,3.837370448993399,5.038579278180557,4.676721600127118],[0.48948645476920816,0.45921871052787444,0.4385759176639613,0.4137523161268955,0.44663286259328455,0.42101652930472677,0.39492101008327385,0.43213274233344257,0.43572733094471444,0.4217282855184891,0.4290391286022237,0.48893222702052885,0.460197064672815,0.47465927104604255,0.6041248324430016,0.5694251245578498,0.5465477765863783,0.5667393669942418,0.6271455273289591,0.5995744130485622,0.6500824998447502,0.6518952120244493,0.8881074911414782,1.2723386011321411,0.7079550789714221,0.6940361124992542,0.6257018773926051,0.54626747403737,0.5490303240178983,0.5252995387966963,0.6072926389366075,0.5504992005872973,0.7113306490993564,0.6698139487398164,0.577112576979613,0.5859057875082895,0.5620232762030088,0.5589407839803299,0.5594573533042638,0.5856853856213672,0.6780346156663671,0.7461749340392418,0.7012640231989234,0.9131142157746436,1.2439906552173865,1.4992953654091656,1.764250673405823,1.1520814209488308,0.9441398505966982,1.089231129890118,0.9240267696378862,0.8674168020379,0.845715016023086,0.7329541232854375,0.9127202689047929,0.7348333944642771,0.7570343435978879,0.8179983004199171,0.7868773543319519,1.1240736073866304,0.7800282416588755,0.7264129297885301,0.7540260333807054,0.9344797096228912,0.7433007787764907,0.6809759715224147,0.8255663679638756,0.6569113091748111,0.7959873099966353,0.6959415538454803,0.8056541408785974,1.1012323842597398,0.8272449105115629,1.1160421842256734,0.7017973015715094,1.340185630223218,0.6725712478553633,0.694357602296039,0.6242548503590368,0.6757057302708644,0.6259976369339282,0.6700355724204368,0.8472742751596182,0.5424485290351176,0.5620771524424968,0.5455484004289147,0.6140865100327897,0.7242063790238834,0.6560409414140147,0.7039346337546517,0.7195863422136668,0.9473970557614868,0.8313664142071591,0.7476355842482392,0.6574047173524428,0.7710787733176341,0.6506681607494749,0.608466075452765,0.5364245937927363,0.7801406232340246,0.5581434867704426,0.6349208180595584,0.5329081564762282,0.5096610801967942,0.6364022914889323,0.5994206728442429,0.6275002054179655,0.5154208720457583,0.5269913232124801,0.7692722917609529,0.517590329753513,0.4474035394808471,0.42455744063797,0.41543227275527345,0.46295143035592096,0.511337022781034,0.5456907457509478,0.5915952822420106,1.0013023437818895,0.6071209121197202,0.6155162590304432,0.5440913247879228,0.5659635657692912,0.47503565642830997,0.41430752810149335,0.43025607383839054,0.40847636511149166,0.4053276491250833,0.4429030745607647,0.5076839128392627,0.4385327002195768,0.4592505458231469,0.4784029638206571,0.5224202649776789,0.4668522365602268,0.4591967697712609,0.6739777588492634,0.5547168667138617,0.5543693545295667,0.5584030422837529,0.6023044001404846,0.7903025849908899,0.728941723345925,0.6120288542829486,0.593134966602809,0.5768583557058119,0.5250158450746544,0.4670480482755249,0.457528812243323,0.4357852012066537,0.473152473535088,0.49742723002077,0.6435202255329291,1.4515143620976205,1.153059819138066,0.5938198588334281,0.5117986930091327,0.46254330736982213,0.4947790067351798,0.47440388640670617,0.5300827488826201,0.5416407708400716,0.5274671991585884,0.5417713805764852,0.5894382397299728,0.6478042165043217,0.5841674977207104,0.6740341506796772,0.6608521221810628,0.6337028940006046,0.5876707021364592,0.5473384851684983,0.5219953825691257,0.48681172264743044,0.4889151010758383,0.5514432668726379,0.5906245449039262,0.716033130021314,0.5201830803294032,0.542421106615188,0.5057674484954594,0.48295887832781903,0.512896985788554,0.544024060380299,0.5535438522544935,0.5943689199719421,0.6687924704258337,0.7315730148825512,1.0269597531219234,0.76708566067412,0.8515035564471796,0.7672229447920162,0.6586809037428498,0.6357872297174503,0.5753444538227577,0.6359253956161737,0.628566284629463,0.4760027422282033,0.4826639543569453,0.5153786232587264,0.450750016043365,0.5250684661956868,0.4719272605621245,0.4853307661700525,0.5466602082188531,0.6118485962235457,0.5596016098271175,0.5843659358767296,0.6728193124620057,0.6732362387647539,0.7086910350864029,0.761252376036283,0.8690836419986671,0.8015464782912322,0.8527266701854469,0.8242728639543709,0.9515981896005002,0.7606609809635817,0.6829264200327634,0.7098990437742181,0.6815480226073749,1.0645554383807128,0.7560252785674407,1.1821455487686516,1.2124207463695749,0.7692942055525351,0.7870033624640879,0.849556276704568,0.5761279073338826,0.4972905148401152,0.6626065104229424,0.6873396119835153,0.7849259025864269,0.5760821984436327,0.9042006605636957,0.7965182525954473,0.7018444705327681,1.0521430277509825,0.5367494536104858,0.6378751106527011,0.6614646186605133,0.6588588849966364,0.8450395830224405,0.9638069340596771,1.0367992274866134,0.7644048753816768,0.7487806519269,1.0215855539154282,0.8814815741660817,0.7547021438477358,0.8661164408271091,0.9454002851993873,0.78952686160899,0.8117756379909138,0.9655280634539989,1.0434966605453737,0.8989466944851517,0.9101414999990461,0.7790440058974059,0.7219647787139221,0.6979005340938647,0.72796215544661,0.644418659352251,0.6255650751915682,0.6539202480012004,0.6195278369792127,0.6661039530747005,0.5582882124165038,0.5538454912129531,0.7869075398962517,0.6886968126489446,0.6112409299007461,0.7737042628546889,0.94483791798674,0.894580323742978,0.8025349475553513,1.0606515658300695,1.1711026613950861,1.0998414482027878,0.8671727669315452,0.6819719774511532,0.6321040281166287,0.8209607209828433,0.6845306549915595,0.7935984153985034,0.7717556328285625,0.5367381640106245,0.48724183082443645,0.4434653814392757,0.43892625449674155,0.4291832354586257,0.7339033538996098,1.0840542443890469,1.2945370549801756,0.9493747086870536,0.9986984276606589,1.5943483691872415,1.4673732909214514,0.9128483604752616,1.5930576673130685,1.8055743479047193,3.4356080079480282,4.391576184688532,4.039227845146009],[0.47465043821147834,0.4063949941991969,0.391575300890743,0.3433896074474052,0.3993807409561989,0.37256105634279907,0.30092258646378844,0.33516098641484104,0.33908791532530874,0.28698913674570786,0.3093174308866318,0.4064234083241355,0.3054976804443683,0.3140755008654368,0.44634100165858587,0.4071024885480163,0.40361941240748167,0.4362824565115041,0.5052320542614428,0.4671311344303951,0.4960082587424216,0.4944722883758283,0.7694641937833723,1.137761005781386,0.5924367446545558,0.5730518860036814,0.49346270420710003,0.3875616198556223,0.38460213361072293,0.37405737248213783,0.4813294067110259,0.43274933167353824,0.616462489568176,0.5752240117172038,0.45073791535622426,0.44545048143120536,0.4161376156599044,0.3858292674769078,0.4095919783875324,0.4186908313434759,0.5343520804222905,0.5945900286127122,0.5320437628805258,0.7620276085918806,1.1202513439345396,1.4488109757530032,1.6573252255741187,1.0090677781946968,0.8160607306166514,0.9697566285918298,0.8093112306199648,0.7529111752667454,0.674854066963137,0.5703466645111632,0.8443624145320998,0.5788346532954048,0.6177670031225949,0.6560934094062613,0.6621105286725368,1.0007172889479945,0.6380561184845617,0.5908195758282014,0.5979462764584703,0.7934777446365483,0.5934845873212865,0.5225275843263465,0.7623580247083567,0.5481055351188081,0.7155822591315901,0.5708164330018392,0.7575798189365769,1.1144994123890994,0.7333623000425538,1.017742800365639,0.5958561711791318,1.2681033269097481,0.5558840501946909,0.5938275492831339,0.48773526911460297,0.502735546923117,0.5151128703091309,0.5264036252974655,0.7128729188204754,0.35496257515820917,0.4090360274584429,0.36414950311644373,0.453484429549098,0.5970519911128979,0.48703764492293905,0.6082829344253562,0.6056498399044001,0.8200940718612575,0.7138584646790902,0.6465041948458791,0.5595254747120567,0.6787020761016103,0.5606692066014005,0.5303310113974965,0.4376072967202029,0.6877317433685951,0.4293033465852176,0.5466498373913443,0.3590791984990264,0.3821367383543847,0.5116915536787405,0.47909456636373166,0.583105158370888,0.4386798436227902,0.491551161478256,0.7018551750369612,0.4944305045231974,0.3214538200415875,0.31625756641516706,0.2930036379962985,0.3227217599833274,0.3345326653932264,0.39578216852382175,0.41888249155844925,0.8598591648572886,0.5162036168743572,0.503003856553663,0.3999279274672667,0.40408699937792314,0.3104696453510291,0.27389695444246925,0.3039838597529146,0.3314789329259897,0.29805081098384745,0.33749336260549995,0.3944764042171182,0.3789957927543541,0.42663919503845804,0.3679040278215744,0.4019447887620672,0.3588445588825634,0.35185650670084884,0.552580570717551,0.42334143655451073,0.3953216295207903,0.4014672900290419,0.47136364529467406,0.6349206177464113,0.5699416845105157,0.4407484568034519,0.4159338315237161,0.4126037237306992,0.3370571599781571,0.31895670571544693,0.29604419545906435,0.320967278788846,0.3645674035239399,0.4119251449970237,0.6298574592457792,1.4930965104421103,1.0721221019450775,0.5233331443067377,0.3835551287718029,0.358017708529931,0.33460786371370793,0.3333903845742563,0.3706394616353117,0.3578528318200656,0.3680162944930737,0.36826972146919834,0.4519745541279514,0.5247061464328072,0.4522038414650873,0.5581950065891923,0.5891872642667391,0.5377682439312378,0.462720536322348,0.4005664070999172,0.3777737436554485,0.3546923630906667,0.31211515723641864,0.37327570277462524,0.40898239632340583,0.612180884772308,0.3496847298507288,0.367548163534047,0.3545636996315316,0.3307804815260146,0.3566032387180079,0.41605626810007834,0.40615292825742544,0.4631182558125918,0.5346831163607186,0.5980704988627072,0.9421385148042153,0.6751015810944635,0.7850291460618104,0.6506548010183288,0.5723588032630417,0.5517974225425164,0.4886290013078491,0.5411380560425441,0.5293154765300114,0.4011555424693066,0.432987676651684,0.5132428965492521,0.4426102798663738,0.5313032533821409,0.4619303641270018,0.47887049095177625,0.5792429692394852,0.6337758514912518,0.5236733084396992,0.5993097431476414,0.7105552940177727,0.6741519888899022,0.7085308391437534,0.784933888229467,0.8897069595414805,0.7992367647701794,0.8443556655252592,0.8038545757664285,0.9381593700478241,0.7463669185414048,0.6990402401903015,0.73470013858243,0.6843674824047944,1.0250201253479332,0.8641976316536216,1.3251095654427452,1.2366367760644816,0.8086700236824146,0.8220613463327336,0.8515605353553864,0.5841725082777678,0.5066128048575512,0.712307977072301,0.6717112217073077,0.8018232026361671,0.5769396263864268,0.8122626558866003,0.7751436538193422,0.7202240761134581,0.9925262175081891,0.5152275234030274,0.5942654824461423,0.6426678464406068,0.7032061306828511,0.8553400255348237,1.0307943946070224,1.0289476833344207,0.780318934203585,0.7806924040288017,1.0606674012700124,0.9109030005710168,0.8050836658074283,0.9161790264562515,0.9872197838506668,0.8296423834707244,0.854153649262347,0.9966938769926024,1.0415433149653042,0.9365233312121075,0.9740492784817544,0.8412440095684243,0.7900018116367127,0.7543600729523338,0.7585290147390001,0.7074859394941397,0.6636974038926823,0.7043164959403143,0.6585377906891343,0.6979942622133749,0.5791643584075921,0.5724922016435716,0.7904131847455836,0.6730691312849554,0.650905328070724,0.6979293420620635,0.8336597398350398,0.8035378214169236,0.7349358846901988,0.9801543071709418,1.0996161008751346,1.1355249209820064,0.8163859333080705,0.6242537346473608,0.5791981319457267,0.7535046651833657,0.6191518710670804,0.7230978766210303,0.6906681138543677,0.5247349745330215,0.47059718288991476,0.40864903271796177,0.3980227933926297,0.39039247476501876,0.774420914329268,1.1555738815105208,1.2906750432032554,0.9469908425664937,1.0867793980713847,1.6211480323909564,1.3878433701525414,0.9382571298977274,1.7168232482523635,1.8158451768050252,3.372016012655104,4.381611989937546,3.9769443700823057],[0.47028295734658954,0.48715350901628435,0.46815241360518256,0.40967011039703133,0.4431512547690337,0.3883177572400164,0.3487316495690181,0.37816591259920773,0.394201127480643,0.38916975467640813,0.4191559753455856,0.4870118385799748,0.4300532797796709,0.45633059654697467,0.5577158638190324,0.511170580127107,0.5374254414456417,0.5787861209221474,0.6794766882229966,0.6137661110905989,0.608055228961882,0.6241778694766235,0.903272649308028,1.2202773762643901,0.7136874587298634,0.685460811017513,0.6122458700363359,0.5282008222010838,0.5508282207378015,0.5152972099469675,0.5656073981450178,0.5181742878266828,0.6371753542185835,0.6101165351991756,0.5260508482747077,0.5488052272178442,0.5372853894036014,0.555130387824658,0.5563067816146604,0.5776234770693314,0.6818120914562313,0.7070622352229226,0.6477667731054361,0.8971075037660212,1.2531343090772382,1.5280173006407392,1.7776768416550248,1.1628715504362952,0.9358105749268196,1.0917863900047076,0.9494304722141668,0.8910154925454689,0.8280148393499874,0.7231794545897187,0.9544100006781184,0.6631972877247969,0.6837331832356843,0.7772500785935754,0.7251799444182553,1.1165818525321325,0.7122826589960853,0.6510843510295594,0.6479357562002762,0.8469818903411578,0.7026540634334978,0.5979440690581882,0.8076330483170068,0.6757736517448344,0.8164993799973512,0.7292132640090557,0.8235072205110109,1.0845180117476723,0.8557927083125817,1.1533627539159599,0.6755724235196074,1.340234434622802,0.6425370933557301,0.6672863434098654,0.5725932305786794,0.5815691107480144,0.5954163831735423,0.6416513128146732,0.7177495467647239,0.5089093301542674,0.5626228894621702,0.5207799393465975,0.5750519032433403,0.722032577144376,0.5853972865944035,0.6541503257701667,0.6924912246589138,0.9394685784838186,0.7907759813354925,0.6655485130728526,0.5901330327027114,0.6903283807310139,0.614528692307259,0.5763300282668974,0.5022747016196492,0.6965490603022083,0.5006420354063513,0.5809732638303694,0.4789263996324992,0.45914560348700206,0.6147999379961367,0.5663490761109304,0.6454814347367077,0.5638697108732149,0.5859369094308122,0.7925236858873419,0.6126060711483053,0.4627204112098769,0.4315457155406161,0.412097447541764,0.43381828558799784,0.46247105691626794,0.5314596084069722,0.5699717255670969,0.9378816711139788,0.5801484427390003,0.610912814461268,0.49717908577189657,0.5030075704582823,0.4177034185956598,0.39818497870140634,0.42760364572782905,0.4094712437740078,0.41146205841962513,0.46510564411324795,0.540461706918762,0.49516686237277147,0.5311297737938232,0.501724445142885,0.529297096091594,0.4901428697597597,0.4808711326875105,0.6392877119258316,0.547895117390935,0.4855997789011115,0.4982271834229253,0.5538062096507036,0.7327556579538783,0.719086952667774,0.5769760718810868,0.5569922705796537,0.5357116906609968,0.48031288227399954,0.47817937743132727,0.43508923764781576,0.4377232034182967,0.48390890082394067,0.4729962234994078,0.6406976418873627,1.4429758385883953,1.0527767525486953,0.5271712277435475,0.4619491246421838,0.4542726895275702,0.44415809218605057,0.4587903319882521,0.5011463234960023,0.5068116501911134,0.5061356036061193,0.5223175932654814,0.5659801188928931,0.5895473612062732,0.5407389115862508,0.6420917339693663,0.6789030745178002,0.6190451799641414,0.5644118330641616,0.5235543490872537,0.5090613882774734,0.4926712598007765,0.47391970938204603,0.5187541944697738,0.5662186042896896,0.698563831688807,0.5138183678836882,0.5162059166604637,0.49228142782638273,0.48190717600099164,0.5171821118632198,0.567958357750882,0.5483471999117006,0.6195510767176585,0.6923937203911501,0.7243182680388708,1.023189371096285,0.7738103450477009,0.8756580795777132,0.709194507682713,0.6381148126172487,0.6408365795015801,0.5948418903413403,0.6875637543096419,0.6563070285154327,0.5223834197903694,0.5142275628473055,0.5725925022029321,0.49301143666518943,0.5471300176246082,0.5035285042433992,0.5209230006759045,0.581782941853126,0.6375825646596083,0.5683387544275214,0.6328021472271897,0.6973353688811734,0.7065116112896618,0.7573586459319258,0.8137271731060781,0.9042116009403075,0.8390914737777158,0.9153967946934879,0.8799330145961373,1.0179305399804517,0.8489132068602462,0.775567267620625,0.7926232286277117,0.7347342035085547,1.0183824228729963,0.8898841348871576,1.272033063205048,1.2490100431215967,0.7987248856877952,0.8213271076752977,0.8192441889133638,0.641733227726261,0.5322739591655853,0.7189100264999112,0.7295210069288673,0.8559838724603192,0.6363385020399408,0.8391739421334524,0.8914334829644889,0.8083183919937398,1.010436359471822,0.555352052871112,0.6720966573536131,0.6732362296510012,0.7007142861360892,0.8524325017902199,0.9466556600735533,1.010600223523604,0.7968841628984462,0.7533928547172496,0.9824712514452104,0.9045392484586959,0.7552410108074411,0.8421428337997056,0.921939569973921,0.792176765206864,0.812285669284337,0.9504641334893066,1.042871697571844,0.9088748973648059,0.9305830804308536,0.8160057789771435,0.7452447845073649,0.7101077216254846,0.7370071551561054,0.6975260117847212,0.6726909432466789,0.6988404629376235,0.6772289695972106,0.7167917347605077,0.606570847281662,0.601169805770861,0.8404525331272484,0.7341218408208129,0.7176971057779881,0.7772062658621737,0.9467618189442709,0.8886377712942423,0.8157473150107136,1.066177777417063,1.1881756812302016,1.174685889163613,0.8926951231165201,0.697552663297651,0.6582909980032025,0.7958084450236672,0.6810435929529578,0.7914928267277,0.7352742584351226,0.5604022789952611,0.5309178351805667,0.4776548542240463,0.4776954489381671,0.434454185585251,0.7894957743014712,1.0906936291990228,1.2446346559176487,1.0167012144032488,1.0041278329171333,1.519937447243773,1.492691281805953,0.9260760322094533,1.575313992712986,1.6537515406785865,3.0948319721727255,3.8479245807466715,3.5066661503131953],[0.4731599896777703,0.4820663377543604,0.4172036781113916,0.38691484268716225,0.4656570254469041,0.49204254865063385,0.44014214302311583,0.44953302962617736,0.45679114648797514,0.42282353182026094,0.4374459351291821,0.48491558124942136,0.4491031175889386,0.4701374630959466,0.5364614383729464,0.4957111723298223,0.5428564176307407,0.5821938302356814,0.704316667674927,0.6228583786230795,0.6530255225435267,0.6755158302935538,0.9247095627577998,1.2619498952584312,0.7785508053976222,0.746048834886565,0.6510292105541639,0.5669743423539698,0.5629767761529699,0.5115320153715981,0.5533692420288464,0.48790270338271186,0.6010261246859326,0.5830505115360939,0.5048816309908599,0.5486049599122224,0.5258646176484126,0.5798459998032593,0.5744617720676302,0.6139967222313367,0.7202418142751285,0.7426935463085171,0.7059957805244153,0.9609562703525025,1.3043576047944034,1.538247734499061,1.7901085022779581,1.218996089041707,1.0035382506938668,1.1746102633080404,1.022551345728978,0.9476311164147742,0.8576002327462974,0.7382021305602312,0.9649316273403152,0.6815586113948613,0.6885717814118981,0.8172321501918218,0.7721357793145952,1.1233819294642402,0.7227950537175031,0.6454787713667651,0.6332376024673375,0.8230209147358919,0.7056412680948528,0.6265692654712337,0.8044921735828684,0.6747786087845289,0.8305268076757023,0.7169672518982783,0.8198957155200793,1.0701729940436593,0.8352022914616636,1.135159954721168,0.6683467593449195,1.3337757493099582,0.6315309282360118,0.6328308421674697,0.5662671527064919,0.5970648859940323,0.5836464416670817,0.6292900629888817,0.7171469757042267,0.5188342234406842,0.6014762643221429,0.5223207335259038,0.5752867088479604,0.692854146499154,0.5861444734749309,0.636247297165393,0.6622227929710875,0.8834278654770928,0.7476707797462453,0.6250027104422861,0.5616800546344735,0.6673806966331531,0.5940983546958042,0.5590552669478948,0.48272752005261427,0.6894468439913201,0.5033611140364912,0.6307547653262073,0.49419167785682283,0.4908529364651567,0.6636374033612853,0.6178459980319826,0.7194361819321792,0.5998182823555339,0.6303298045434339,0.8452456256349191,0.713168975027315,0.5262264343482765,0.4781636298357124,0.4822178410953361,0.5079108185837715,0.5188325314037108,0.5767674356414445,0.6222066046158619,0.9014774389109887,0.5895579778041518,0.6135776313366517,0.527818087209129,0.5520748367714918,0.4725425205242629,0.47378843471214,0.5229500768270156,0.4986377532286095,0.5170929388168998,0.5308893640135546,0.607407408288869,0.5794214553039555,0.6267808695497894,0.5988378080838661,0.593670061214529,0.5718138332067637,0.559075849012216,0.6780651069644518,0.6317252436390641,0.5252496365824493,0.515660566925859,0.6333368029217212,0.8056576986722833,0.7605139787680865,0.6116628542115349,0.5926878265103304,0.5496257811379328,0.5224421542144309,0.4961411727597136,0.4835977950436939,0.4972052893220776,0.5202865631263386,0.5119472650701657,0.6774304950160199,1.4256908824040206,1.0232888655634886,0.5249413214034077,0.4842486626903083,0.4920339869476356,0.4591912217680738,0.4994946702584474,0.5499865725642376,0.5297457180918336,0.5715455485093852,0.5850334451779796,0.6127660143248002,0.6286667064341442,0.6158683107480055,0.7211519215776748,0.788072129255777,0.7064017764422915,0.6513564479995445,0.5837215395831654,0.5799223538644062,0.5695860554960077,0.5213521160659619,0.5594117838767194,0.5747071440646727,0.6636513116126189,0.5375973682064942,0.5325705932206933,0.5823214475734872,0.5591679961195166,0.6082966868855693,0.6486612790096686,0.6267173570873219,0.6838734846108387,0.7753023896658223,0.7785696889375736,1.0901272823133532,0.8538319318604792,0.9369352684106623,0.7383576296763086,0.7082992867491154,0.7185358316209393,0.6768117692850689,0.7738820834745251,0.706258176526197,0.5774703769391591,0.5734333618852966,0.6477847770025766,0.5478873838044617,0.5950443142196904,0.5669404983773599,0.5699196330511171,0.6449576709260683,0.7160201494554538,0.6005341020992306,0.6694342391468422,0.7653371143067503,0.7520448114647504,0.7779222020536467,0.8643240701157071,0.9595699980244751,0.8574530190951231,0.9243218324145992,0.8333539347495287,1.0276727828978243,0.8061315171311065,0.7557851621812092,0.7975172745465944,0.7684104456184075,1.0061960391605045,1.0224698965100323,1.3155878006925126,1.2491468958803624,0.8208784937864714,0.844190605707893,0.7920864917139689,0.7330283694004931,0.5761693860015256,0.7720211549009929,0.762543643230051,0.9364688639144259,0.7128530459940924,0.8067044771466141,0.9804174909901706,0.8457139716189115,0.9940755683509201,0.6128173080376635,0.7151425315124997,0.7116897225178664,0.7494662302191548,0.8631311187203686,0.9707663953038351,0.962508432155605,0.811350061009752,0.7815991192308319,0.9844844056438953,0.9011467024847946,0.8063218227846083,0.8894132107688456,0.9687857533063552,0.8454141172643059,0.8682507387606002,1.0069352205976674,1.0908918472626927,0.9714538859714495,1.015441763761451,0.8904143007892492,0.822454995802085,0.7692208273310753,0.7825073898607964,0.773476195764417,0.723792292051078,0.7320251838008054,0.7329812743768813,0.7586758752083308,0.6571348122497985,0.6916507895754446,0.8845495639571107,0.7312636476773089,0.7621587333584854,0.7727023053108225,0.8877497503680312,0.8508765397746234,0.7915282441145053,1.0571551764229385,1.066048872914287,1.2311929980497123,0.8141157690717409,0.6387482164502324,0.6339460104761017,0.6822428114931893,0.6034787993898683,0.7018121362972878,0.6953262169484564,0.6119492645351258,0.5671890702710727,0.5513783502950621,0.5622707231343228,0.5080687235188847,0.8749767534814743,1.1115144066949112,1.1771371952963083,1.0681926211945172,1.0185190039526768,1.398283751488805,1.4308973580367292,0.9340599181065626,1.509325600447109,1.4017894570083238,2.6720898470056547,3.31513281386095,3.0315011277398005],[0.5026725573466102,0.5216097645329636,0.44842575598699314,0.36997515821586524,0.4605753196658552,0.4740508526936941,0.42007615142683696,0.430122220834761,0.4341810375316207,0.3769077533219424,0.41119783264995646,0.487327859912235,0.40948594862943666,0.43779983966953323,0.5048016984975082,0.4639189510500704,0.49935257407497924,0.5479485985805728,0.6715010150294985,0.5657266469175511,0.5810886932756398,0.6191383504686462,0.8349259187713866,1.1391873115108577,0.7192077994918813,0.6648323313026464,0.5876163601418414,0.5107846235975685,0.5183586439865558,0.4936375095226081,0.5242649441027986,0.4519841559684401,0.5460891283916127,0.5324056741640723,0.4809533110250999,0.5143110950763398,0.521878595791752,0.540767387118702,0.5337162944510928,0.5828463246440452,0.6672943533855921,0.6642102537202262,0.6308413991153555,0.8876248498573672,1.2044628948830356,1.4777520325476374,1.7234053386122385,1.131869119207496,0.9224945952478585,1.1168039127247966,0.9556384017151197,0.8859397462246907,0.8142578527021974,0.69970550454628,0.9542653296231964,0.6561655036428088,0.6719251206576528,0.782954088741468,0.7432030754075544,1.1838474440887767,0.7077979896778243,0.6107655619933775,0.5749582376338156,0.7345676321819332,0.639460175252835,0.5630447625682072,0.7482919326265777,0.6123269130045456,0.7333743770887324,0.6655441720592428,0.7526694197516381,0.9978150137053433,0.7753194598161655,1.0403242531657422,0.608855980408068,1.29434570437637,0.5763589856530538,0.58151607804334,0.5229218359265205,0.5571581283785461,0.5625990133140069,0.6122088489851168,0.6800822692791637,0.47972799022108487,0.5726733713118306,0.5142992172137145,0.5353210659577775,0.7232936755036528,0.5363454329580544,0.5960925057949739,0.5948488188207878,0.845895283039167,0.7035639550375103,0.5777870456602184,0.5085293903445175,0.6082842886156878,0.528780784123656,0.5085916250662371,0.45134083076522363,0.6843358321421641,0.492886883519994,0.6405695752424422,0.4951110926233722,0.5469447313165056,0.6899442601083782,0.6332747056772112,0.7136048776064391,0.6305850668125275,0.6736290687534845,0.8376885884933651,0.7364350838372832,0.537909230158038,0.4809940301534519,0.4660420342058918,0.46875733075386333,0.4685599047843524,0.5144371917490568,0.5678755731841857,0.8619611391617915,0.5070604223743029,0.527798808940379,0.45002742248406635,0.48478072590806215,0.4305164163157136,0.44323016731439807,0.5135431918546083,0.4894343156838661,0.5176050012256952,0.5481948215709205,0.6226404311624973,0.5732312408985799,0.6171976259115156,0.5887474077759135,0.589951611021156,0.5663698800945005,0.5510208071033829,0.6716748164741415,0.5999893192731943,0.4828292527877929,0.461161874979471,0.5527773533109943,0.7394808897036802,0.6948602696851668,0.5454418294066401,0.5287694968286705,0.4941306365374991,0.4686884654500373,0.4750571167645978,0.4810329444931932,0.4895410367325794,0.5415607416421915,0.495937100755072,0.6495548875435784,1.3533872909495621,0.9947765038812851,0.48733598846120574,0.46023662594362097,0.5058520309135678,0.46039156027443334,0.5166854249191339,0.5466886163711747,0.5134745585025176,0.5228433547577656,0.539976440916667,0.5707184326737458,0.5908555980984449,0.5819798517667325,0.6915290589809798,0.7492969844890097,0.6747519325400796,0.6160081574515865,0.5565798703875883,0.5563433484080457,0.5474372768993178,0.5061306116526185,0.540010315979548,0.5581661441677898,0.648078537618955,0.5215197177855384,0.5338528670698174,0.5527474633141078,0.5564426834018649,0.5871761247082691,0.6307607896614442,0.5860882964756586,0.6547368760081574,0.7226712523796507,0.7290280916911559,1.0214225818923341,0.8021262385951623,0.8836077853158555,0.6874575943936069,0.6663085110882628,0.6931863116566809,0.6561844926670178,0.7743573834078902,0.7027907834398434,0.5776739939778918,0.5860615891411773,0.6598118387584169,0.5482822904353423,0.5963490872336171,0.5748248870259508,0.5536740892830773,0.6214923184277833,0.6947345230295102,0.5872878429906858,0.6364507352147705,0.7072216283440835,0.7163819775504957,0.7378254839075955,0.7960488409325477,0.8965636464662899,0.8182723163203243,0.8860607922265644,0.8031765985586332,0.9953773342070648,0.7603110507263128,0.7158584700086192,0.7311826498060231,0.6967248377677059,0.9679486605887528,0.9066324655878433,1.233911182710797,1.2483957616677022,0.8184297368418065,0.8749675210275188,0.8098217127881249,0.7303899826793562,0.5590456365226779,0.7490577801094254,0.7469779144825343,0.8863323530400863,0.6800207846565024,0.8159722242936789,0.962978317197541,0.8377239716933489,1.0069279482022022,0.6076224894170169,0.7453985885243124,0.7201011114954055,0.7242960200129173,0.8443509165578069,0.9236556765442641,0.9442528595634632,0.8026821845514645,0.7602911330991993,0.9517683959770683,0.9009767758432181,0.7737290414174605,0.8434889665379106,0.9410731350570505,0.8006917531305742,0.8021262551765915,0.9203185672092816,1.0361190832170637,0.893467341564583,0.9289068909917891,0.8204698431543326,0.7528881347496867,0.7087411774493854,0.7230564508523779,0.6920579259423139,0.6705880512405359,0.682995706692774,0.6833652549973446,0.7211293808182933,0.630476154605252,0.6574842922134003,0.8558005482870831,0.719028328304132,0.7429554166705199,0.7496594972776938,0.8692606410201337,0.816488728041979,0.7581131237199997,1.0504935727719826,1.1118578949944657,1.1387078942872408,0.8162836373963661,0.6351435446834568,0.6188761329697303,0.6978514403778487,0.5995967899965803,0.7114251328014255,0.6626088122296362,0.5894965322578669,0.5608234502031806,0.5484800184717922,0.5513173043813879,0.5116570018830491,0.8554831801197014,1.0502150604460707,1.1584362661476766,1.0788046013513817,0.9702011374301969,1.370655083593752,1.4628463381329926,0.937629959718122,1.4778718238758572,1.3666652375935138,2.583687435836943,3.0671852917828715,2.8702512813754337],[0.6202360071658519,0.5882367015568838,0.5295168986595772,0.43569050593033964,0.5680505767984025,0.5004584626348036,0.5181573670607486,0.5327929963548518,0.5618744407460275,0.5828604965156692,0.5916853318663434,0.6162063205114432,0.6447522781959562,0.679819302837307,0.7311870733835704,0.7298204152627318,0.817119860800906,0.8629167199109994,0.9945400406494901,0.9168957536440592,0.9299386734441145,0.9630704786095171,1.1647430288172307,1.3805710620385947,1.0628011296720556,0.9982885779617903,0.925439982755119,0.8577424351661428,0.8431480335750131,0.7779273469215002,0.8102367519588883,0.7136760401313336,0.7575497831146468,0.7906913003798622,0.7695367289483156,0.8241145811354068,0.8082060779314534,0.876406575478628,0.8465588003803952,0.8835812358135811,0.9613299553008864,0.9622430092993643,0.9566031142927779,1.149141914546784,1.4037261632864793,1.594102616276624,1.8746843718292312,1.3535146175819308,1.125829447955897,1.2919687484349662,1.1697360094434244,1.129647866622701,1.0765571287473377,0.93642652798935,1.0886140012317334,0.9727489864061007,0.9833946249847381,1.0263381724921978,1.0158869216779842,1.4491134780402632,1.0240680434450886,0.9336939181476132,0.8930199818025057,1.045576344918457,0.9770059902099517,0.8893001671026018,1.0372503293694597,0.9353444686180045,1.0212137333444382,0.9522200358874979,0.9823295696349742,1.1065295010621723,1.0143444278341682,1.3088485825268206,0.926657611118076,1.5571126801383197,0.8984446563920944,0.8892859682499467,0.8561823972826466,0.8866546643251558,0.8563958234717931,0.9289680951823988,0.9072244215110437,0.7830002552321098,0.8510418458503398,0.8224313916493483,0.8575931060450558,0.9748740363352695,0.8645498884703766,0.8747028435798027,0.8615331950566462,1.0943533563371293,0.96090804646306,0.8135540633476955,0.74117968206949,0.7991627681209102,0.7270038037481015,0.6951415644862012,0.6303490447805262,0.7653250625876871,0.6623317499690125,0.7559558227348981,0.6932761931737154,0.6593771605687668,0.8604154438086421,0.769462926120421,0.8044276748291888,0.7488824862125367,0.7506530097460798,0.9153248652603462,0.8338473497048976,0.6974252754216178,0.6323751801007266,0.684582594488682,0.7414438209412872,0.7624296654881633,0.8334087942359528,0.9593061121852196,1.1777120078954106,0.8435476095054992,0.8623315867001314,0.7639918923603954,0.8146437680201217,0.7221156539724396,0.6397471534803442,0.693088173623567,0.600810761490783,0.6665606795686791,0.6982816853123442,0.7828979340250035,0.7536778722113633,0.7813219446628432,0.8253076428142023,0.7790492641823006,0.8165049079497149,0.7946359987336156,0.8545792093227185,0.8528537254071146,0.8012715810671973,0.8121993366872713,0.9515364053535463,1.1326973907642826,1.0984039774325902,0.9170556628374852,0.8705210145596443,0.816338224430026,0.780798040071609,0.7468715124323844,0.6887517940986154,0.6480443133532223,0.6611659628672,0.5813398300527618,0.7186312759734169,1.3581691832702525,1.0180183433845023,0.5784690549200548,0.5944124899443324,0.623516288608029,0.6556440463205268,0.6942677559397463,0.7936310889314835,0.8017792979517283,0.8268018009905946,0.8657146863715867,0.8827982309985807,0.8886239763735538,0.8963878428918423,1.029279259573505,1.0478657790533688,0.9922725066644608,0.8996368467580684,0.8642870965862871,0.8525637300021004,0.8161744562088628,0.7904030095355856,0.7823815217526979,0.8047377899758178,0.8563808531370178,0.811781660632632,0.8024092983915446,0.834673346347235,0.7965537543309801,0.819063072094015,0.8970805027529909,0.8508850891540715,0.9569082765868778,0.981485877286622,1.0266816823514802,1.18716580839069,1.0592904209423593,1.1342807398896815,0.9836523839771937,0.9591478340101964,0.97330593013786,0.9128412503653087,0.999688049034435,0.8702542887352697,0.7216337206421862,0.7060404919505522,0.7738482330325205,0.6536185007402439,0.6593203026341798,0.660566519141632,0.653306025750664,0.6805506021810017,0.7321613733361371,0.6581259478797349,0.7342313119945276,0.7518245027588114,0.7760768376572745,0.8218003241096713,0.8822330341847975,0.9268742741958218,0.890019323912879,1.0142910664794291,0.9275907627669844,1.1224599500714298,0.9229789731758627,0.8558160479931266,0.8706157157540125,0.841657610308604,1.114761405548196,1.0233646785726227,1.2194981031278913,1.2522366520484585,0.8211036744981075,0.8904474323885457,0.8341264619459434,0.8758163763431553,0.6841374672215085,0.8314248641300885,0.8819020482076841,1.009252337276383,0.8106074919214276,0.9451748256755342,1.1242394322617126,0.9821511877225529,1.1598874657291174,0.7266781942905639,0.8459737507664559,0.7519787480234557,0.7660645260730858,0.8569066642784039,0.9118457733999304,0.9229027482868186,0.8110644290012675,0.7886907957583547,0.9369992911473001,0.9111932494174002,0.77280287839734,0.8282196938090242,0.9161431241867909,0.7990988411970735,0.8287359919138529,0.9478279325979482,1.0870215638781617,0.9277957490815381,0.9660804405471594,0.8767748227091314,0.7921727950833423,0.7433279974335559,0.7878817681164372,0.7871160568316111,0.7623144633716499,0.7636889840347001,0.8050927364197962,0.8338781340871271,0.7393937761451802,0.7769824692379754,1.0067450536072011,0.8439340961523715,0.8429387633257508,0.9044297992100158,1.0418377968065209,0.9628112281524381,0.897517185278539,1.2066724496772425,1.1904154035264203,1.2079899192494121,0.9273390869952703,0.7555293880717946,0.751619590276501,0.7643851587321989,0.6954192040074695,0.8268978241941046,0.7224808824804222,0.6831539494556659,0.6823013734515901,0.6740927105284646,0.6678121782872661,0.5934974043862102,0.8817061637385275,1.0137405508539261,1.1320900874143494,1.112297104958871,0.939989047159008,1.314077306309574,1.4571075784938952,0.9444186921635987,1.441144104792419,1.2767598512381304,2.3627847698433153,2.76757335159496,2.701205661689127],[0.5156812955269142,0.5412152310695392,0.5762812271932951,0.49148576209006306,0.5936345923884848,0.4778829447085763,0.3940331000925309,0.39885876416032817,0.38836726988320663,0.3529138263884313,0.35031289956724265,0.4405932462954245,0.38348897911845337,0.4014010848206913,0.5109568130395316,0.4629794714800667,0.5042991007741302,0.563184892690312,0.739434726195184,0.6499240998747835,0.7000479770848144,0.781241420648069,0.9113778329777303,1.2181848618633757,0.8711841687823029,0.7912985576816921,0.7091516976769314,0.5884796288781856,0.5637669377686331,0.49196708505865555,0.49831127545004933,0.4648750789390947,0.48653400552246423,0.4919447213316127,0.48201825043954005,0.5347148052299397,0.5575053637497849,0.6234918976599769,0.6306371014416388,0.7134049491175687,0.82391851479796,0.8080667888944758,0.815569956896828,1.063186613543644,1.3515611358290993,1.5263681867873717,1.7908968420162497,1.27096246252324,1.0242279182933123,1.2000614168476988,1.0866303562585773,1.0378059231619776,0.9402793101968941,0.8264410627928848,1.0171047792564374,0.7847826747840295,0.8050602136063087,0.9216856900840548,0.8412058083836597,1.3578066239891147,0.8572283740606346,0.7060466255919103,0.6291540852277322,0.807718543004297,0.7375287689639254,0.6433982453733854,0.7819946137207021,0.6332310512740488,0.7547110686613524,0.6722032879148626,0.7573905065865539,0.9653282859401943,0.7776205998792258,1.0453876398959487,0.631527841792179,1.3573133343052128,0.6218070319566743,0.5993828520583827,0.5512986579479724,0.6058352848530862,0.5820539755842754,0.6700793996476001,0.6929664528661362,0.5662505569516019,0.6808927824431773,0.5820681558982156,0.5938731268422616,0.7390052625258113,0.5805243718610061,0.5984506944221445,0.5698319132724786,0.8608490098478919,0.6881374292271911,0.5213672681786107,0.47154907345735797,0.539661129123037,0.5112209376535595,0.4514886494063573,0.39486214007636744,0.5791549204844011,0.45289320347451983,0.5990217875688761,0.4744927708682952,0.5152621935717187,0.8304969828679315,0.7054162765257049,0.8038079247130943,0.7307872556028756,0.7463351309949975,0.8573288192718139,0.7923186919577243,0.6137140694929212,0.46328340902739484,0.5151153450029907,0.47111643785492807,0.5339351055754558,0.5907839778060517,0.6963668013275115,0.9025717606921217,0.5234228008901883,0.5249858630087598,0.4464777194654521,0.50151273080207,0.43573724050462487,0.406834980695535,0.5669979710155505,0.5273528311295543,0.5900643364628751,0.6428946215237568,0.7157782163586744,0.7269737110396458,0.7586249706633087,0.7774029850827263,0.7410404683774312,0.730778096703801,0.6930835515526799,0.8376979235659453,0.7622528880610638,0.6244735975356832,0.5898527933023414,0.7250194101589722,0.8909312948373749,0.8106932867411947,0.6301165846644644,0.6393625287147549,0.5794692843401613,0.5559924620177027,0.5298850507626214,0.4829811242629697,0.46080386201775864,0.4916263575408064,0.4544327747893969,0.6601014550007145,1.2839069200757927,0.9023648062223737,0.4372970818175208,0.39191985251865025,0.43412031383195265,0.4423919597297604,0.5180269421473869,0.5934041938623333,0.5921388954620919,0.6426418013040018,0.6500903340522128,0.7190402301424406,0.739446303326932,0.7777102205685414,0.897604947402805,0.965846793293799,0.8594878926606364,0.7985490799600173,0.725801002793546,0.7018859730204648,0.6548855293263419,0.6077701064833279,0.6078290572263216,0.5888589254364518,0.6547909461541426,0.6160521916448753,0.6175935202035088,0.7033690757987546,0.6658019533915848,0.7335279376088046,0.8024400843376845,0.7478655335484771,0.7916725950270086,0.8740304170861677,0.8761314878146563,1.1053014022103542,0.9275366865928482,1.0125972224918025,0.7821943357952371,0.8493469215169689,0.9130790844035397,0.9085367914999269,1.0492466615504332,0.898072691907065,0.7584295649017732,0.7643110471066248,0.7911325436298814,0.7079058429079558,0.674303950802995,0.6805065001787841,0.7094090000987433,0.7123047399990947,0.729973720082808,0.7110173410021949,0.779477371280011,0.7526164325372904,0.7725846932359854,0.8264482130797993,0.877624477141709,0.896769632373308,0.8771222026687454,1.0096442203677969,0.9350579877833897,1.127280550052942,0.9547700746776139,0.8856435483756874,0.9055065505550002,0.8846149588315771,1.1496848172827376,1.077731591948873,1.2006118038401392,1.257114633482774,0.8364058741613392,0.8641595475744444,0.8282396431410116,0.929741471173791,0.743522471348529,0.9246573374745921,0.999880599353504,1.10848048228289,0.9114677460028563,0.9893252540942381,1.1652315880857462,1.0168353320047503,1.130606762925276,0.8006014006353201,0.8454703296154353,0.7756201481419916,0.7864303241577455,0.8729680684993,0.913666423498473,0.8682120220474919,0.8131279078401406,0.771447825947476,0.8737826025499718,0.858167259916931,0.745394094614829,0.782366315082002,0.8615753886500406,0.7610736475694206,0.8010770352461976,0.9017767829313476,1.041231987785416,0.9014703243373486,0.9501855789745918,0.884440988098564,0.8020891437623858,0.7584856534045811,0.8290266797027736,0.8229732432143774,0.8015704222793066,0.8186374386521442,0.882324056820164,0.9024905922102473,0.8264053265383695,0.8827402112170841,1.0796183462937257,0.907175414725996,0.9185926208625628,0.9493594320568033,1.0355489333429593,0.9751856002104207,0.909790324077702,1.199473608288723,1.1741716164348681,1.229134105871476,0.9406548597896474,0.8000981923193882,0.8077713411673862,0.774603471602669,0.7410657711868514,0.8530125558073205,0.8166024817772038,0.7381254738664161,0.741493943771901,0.7211519151351591,0.6963859364776803,0.6483813273323378,0.8558586094038021,0.9247722144621104,1.0393779516508759,1.0573631979870006,0.8516966150161257,1.156434606176439,1.3206138005310715,0.8572868883415582,1.301893691433776,1.0953647372127673,1.968158361991715,2.2470141684392173,2.371329929508627],[0.4447869891763285,0.4442278703421275,0.45863588205337075,0.3586124138747992,0.49702900013835477,0.42081292190500924,0.3375206949483403,0.34888205786891263,0.39031908408786786,0.35418451990203675,0.3586478783221592,0.4474970765601222,0.4011812818786221,0.4275435046737492,0.5470834256486674,0.5053109475538661,0.5477818877971861,0.6138338730388596,0.8150372712081944,0.7071300849229503,0.7764898028154918,0.8622443124125184,0.9413138991911808,1.2524399213572999,0.9371959081812518,0.8599002623109963,0.7723111875092213,0.6543800079002543,0.6262098130736958,0.5415076410533628,0.552641568420028,0.5031444395077496,0.5181163712863183,0.5329221451249667,0.535095344364423,0.5876553098179962,0.5930431315289159,0.690831295122094,0.6861768714621269,0.7664589316985562,0.8872705616450256,0.8760771592749056,0.8954398852797018,1.1272214011998565,1.3977179404833184,1.5502891995671222,1.800035586854301,1.3081054756975692,1.0556013666785082,1.2238364293905462,1.116926741020437,1.0850905563461803,0.9874085754973089,0.8878446741571636,1.0824699987552409,0.8457033664743748,0.8742054510147369,0.99331903776699,0.9110887335369121,1.43417336171087,0.9368333169373144,0.7882791149764605,0.6929556374361456,0.8419641416251356,0.8007709451914912,0.7188119719617195,0.8228469261945633,0.6920541959287703,0.7958275869060757,0.7416277549857763,0.8185541020345036,1.0268546479425853,0.8464980126107468,1.0760105621123448,0.6865106294353033,1.367070797562122,0.6902863743763324,0.6579038902588019,0.6229728778857739,0.6663477290747865,0.6408759658136807,0.7199189641767811,0.7299485694835315,0.5970683323882219,0.7158220804756706,0.632360553553497,0.650126535325382,0.7558554574476025,0.6397426738749237,0.649186602676118,0.6160645999298333,0.8864231559553309,0.7214595794310574,0.5667787164925021,0.5179549820688262,0.5798136029289301,0.5519248849750503,0.47594147114880553,0.42373525381105714,0.5509553546237507,0.46172801980431083,0.5754103216415137,0.4714387047280247,0.4843830881849535,0.8158049801334413,0.6549786670678792,0.7289804813542138,0.6760604576725011,0.6663462865505816,0.7753089379944423,0.6981595528763859,0.567425723499322,0.4339495499054978,0.5166206636927332,0.4846140543280221,0.5768088433504266,0.6521396465069548,0.7749103966002937,0.9417157757428996,0.5893517313607408,0.5905651992708559,0.49708283658457253,0.550109361301429,0.46771932355846446,0.40883137216023796,0.5455204473344629,0.4512167266942561,0.5292307631558721,0.5819712150505277,0.6690612715689432,0.6705713395087296,0.6979148539959962,0.737355570913624,0.7035689709154557,0.7074146129269188,0.6745848041866647,0.7995411798130384,0.7630036766938565,0.6559256640903688,0.6355182011954267,0.797872005429424,0.9483764418650237,0.868902785867668,0.6894697346201606,0.7049964496202126,0.6277802583998037,0.5999537145047541,0.5557381353335116,0.47919651992956297,0.43929552954983647,0.4609207567350359,0.42279084664427663,0.611007684704163,1.245466060878027,0.9125597278325398,0.4083622016811529,0.36862100512785,0.4105160132031373,0.4473198945423668,0.4991467415105661,0.5887423998398229,0.6199158158663622,0.681571729510711,0.691295764832221,0.7514365648865461,0.7833912455456787,0.7902915174716497,0.9042973904876581,0.9557164204475579,0.8627331879678649,0.7955339133152954,0.7387964095469346,0.7150259340741764,0.6701084314346829,0.6235010730785119,0.611276541538489,0.6077346440925657,0.647296571183264,0.6422754854432755,0.6242966835468273,0.7225171147942598,0.6499998553986238,0.727035834916571,0.7970906679706034,0.7529054811423341,0.8153796131801967,0.9175001171463466,0.9145261121167574,1.1343552069044023,0.9448636698728294,1.010826332539013,0.797962392046674,0.8485066325929247,0.9002972245831148,0.8772151542145948,0.9961310997398369,0.8506264810933866,0.705801429480493,0.6691432832808213,0.722558740323284,0.5792953534958667,0.5531077052550326,0.5644217059700527,0.5481803290902485,0.554251281093676,0.5783594785971785,0.5631941344399449,0.6159161377607966,0.6071498525210955,0.6484008086582154,0.710194430394674,0.7694497806707036,0.8190970999180247,0.8234585563557474,0.9284481015833133,0.8727477381579006,0.9853442759320059,0.8722038034474211,0.7570058025746472,0.7767298987409254,0.7604805592636295,1.0177579305166446,0.8722979957419976,1.027673540446484,1.1389352626159113,0.7339871317172596,0.8335749812972689,0.7638488768642031,0.8550887715166929,0.6271556431372738,0.7651818015082906,0.8373104457202998,0.9222160938453605,0.7471741934105559,0.9356462429137187,1.0818557685865056,0.911565200982456,1.1026856435054488,0.6755457074358356,0.7982536441799336,0.6827084818401539,0.6645124319801728,0.7664526705000595,0.8017949630880258,0.7881094751116885,0.7070991150148116,0.6620779183113641,0.7330057215778553,0.7335362507982675,0.6153127630225538,0.6541665801729731,0.7518522235410637,0.6389990654391886,0.6727516116896799,0.7722895196049019,0.9370026169860087,0.7943289318125745,0.8270896410109104,0.7579045226290155,0.6695220573276499,0.6165430439989343,0.6757831960960882,0.6738262287858144,0.6350881967490674,0.6262042528787222,0.6849915430717772,0.7118871367622539,0.6447820062751944,0.703006039275259,0.8901785776453722,0.7410527779841811,0.7849022308368403,0.8537737244920482,0.9900867602416912,0.8911680597301754,0.8162786679281285,1.1450193377934963,1.2159118940295548,1.156154646798763,0.9026384713592258,0.7064347177162753,0.6936320083866864,0.7741369066703822,0.6413897729111849,0.7705086655496916,0.6702134681783294,0.6139466993584781,0.6213707433830395,0.6200699949404229,0.594305657768693,0.5255337886297158,0.69981783017468,0.7322943634595869,0.9017798198078373,0.9276114936820476,0.6548521326728356,0.985054648777773,1.2463445436980056,0.6556795527222067,1.126561302942737,0.9741208067886244,1.8123238507040966,2.037518711576386,2.2007441567645225],[0.4561042486491916,0.5070805507843433,0.5223803392919719,0.4546675572662577,0.609609201056678,0.5332353024357582,0.55449122043232,0.5685377447718505,0.6061617010187613,0.5643660517273498,0.5734365110687104,0.6091436776374977,0.5762857278393327,0.5768205531300576,0.6240419049553518,0.6401674259667681,0.685653570353891,0.6876907173722,0.824828418862786,0.7209281090386916,0.7178651167963211,0.7686109096808562,0.9795633297110156,1.157332307675189,0.8704743275674995,0.7877472196689143,0.7549007525559903,0.7004746462204786,0.7111080090517725,0.6622255840872907,0.6621456764899641,0.6631569569113746,0.6471978802050009,0.6822322937501001,0.653983358380224,0.6715628223595738,0.6985186305735669,0.756003942751138,0.7444318207010123,0.7888171914317276,0.8396845753788551,0.8095162210021031,0.7909763124072735,1.021701729490849,1.279149357517509,1.5008706074792069,1.7582730158285995,1.2185552179549788,1.0245119236156925,1.2114960738251743,1.0716237598857594,1.0221448812615925,0.9429163552714209,0.8481002067219973,1.0457805864901573,0.8269684980065298,0.8294864515517424,0.9078167255301643,0.8933980343304734,1.3598589230909768,0.9179703817890913,0.7729489774799831,0.7177855150324969,0.8283443896403823,0.7669622137321263,0.6946693356280507,0.8918831702579564,0.7431051096161883,0.8390298877105572,0.818864947282799,0.8422748587777317,1.0189652977827073,0.8924197663108282,1.1378654370866383,0.7708375043839519,1.363620417817418,0.7113969379452075,0.7022675744083079,0.6920097521975885,0.7204206226390767,0.7315298796802682,0.7837745470338565,0.8094246540100385,0.704652155285432,0.7597477613537447,0.7191815306800233,0.7346368153982697,0.872313660619139,0.694537209706813,0.731256718391353,0.7217772421275116,0.9548146195014745,0.8093592382060031,0.7125504427675852,0.6778641904113127,0.7291784928687979,0.6965809867718753,0.6284744650062182,0.6001833629698275,0.6911869218782477,0.6466459605694788,0.7238832912133526,0.6409947463471161,0.635158106441531,0.810904021337737,0.7616716124317875,0.7953660791621485,0.7850285089897014,0.7905589377770124,0.8817299580691786,0.8125774873240819,0.7168969174938674,0.6676161920086249,0.6696010133996856,0.6153112567182046,0.6529296147030089,0.6843275396656755,0.7676343247159522,0.9598411693296375,0.6387742168521034,0.6412827826859379,0.6042320190420194,0.6576637885355434,0.6115536231795832,0.6012241509037999,0.6868796511608046,0.6068388227797602,0.6672107296368028,0.7083363802996797,0.7859435240841198,0.7367164988789577,0.7832424927576392,0.7860738606253155,0.7541899526610839,0.7693648888187192,0.7608590604086385,0.8417557025494193,0.7980206889180538,0.6975631305505905,0.6808459334267712,0.7537424822402091,0.9045230913668555,0.9076200646963838,0.7477455144680795,0.7258485905681447,0.6893289452248227,0.6748918385083789,0.6787482894630534,0.6419388374754402,0.6292966669503937,0.6657224210932535,0.5881480620249084,0.6999398777495298,1.2640830569981,1.0301583068126954,0.565911819029253,0.5724781445237435,0.596139650357666,0.6166206870268275,0.6596240570226851,0.7410913106908813,0.7111145261101135,0.7377194661249329,0.7698137681246721,0.7763335804379503,0.8040504622080198,0.8030400557120569,0.8845110308269073,0.9248318470884537,0.8621714416770669,0.8098647199604837,0.7938996231973153,0.7735836600435284,0.7617051535606351,0.727361208443028,0.7234323821363867,0.7160826298547066,0.793489271023663,0.7303176118606716,0.7334812040238339,0.7857638108977866,0.750479244292171,0.7982007754722468,0.8397678526022918,0.7848157770531927,0.8565288354415408,0.9252857610328797,0.8925714478699892,1.1363932735372246,0.9410623945334791,0.9897502847576499,0.8670741834201457,0.8529262366304139,0.9047823115200341,0.8751625369089778,0.9394199369031858,0.8653416689146147,0.763179632419193,0.7169874336155367,0.8055974436562146,0.6471128714898889,0.6748006811656786,0.6810563643387288,0.6196143966917167,0.6547491087386282,0.7130956216893956,0.6081168020114897,0.6481022242124436,0.686693012364714,0.7130170465423391,0.7365705317697236,0.7754996880154494,0.8622479745345915,0.8121615086715449,0.8658458586224391,0.8191627239783987,0.9293371645079825,0.8203694951422383,0.7492492662338393,0.7374541965051963,0.7486057268456173,0.9797979802880241,0.8671062918474409,1.1251059687669016,1.213416104604224,0.8405627691921381,0.9850267895869008,0.8854757611452047,0.8263890167278688,0.6643899454413998,0.7788633320418258,0.7388170110938471,0.8208446955905079,0.7201934280223315,0.97718310966919,1.0555120665033506,0.9015579359347033,1.125923224366091,0.6940795886729255,0.9223847801562087,0.8141816545401193,0.7756912582784313,0.8656615695882962,0.9136389754319513,0.9707328612127405,0.8330991161665094,0.7406388957990859,0.9385389549453697,0.8877854912051909,0.7707392581570914,0.8042986388656325,0.8803435338552396,0.7681573656935866,0.7648588268162381,0.8634862540580329,1.0195703870392787,0.8467319632439722,0.8623845437617337,0.7822045204827138,0.7197494322361195,0.6871827430476599,0.7239718761158687,0.6896476142672505,0.6772664284557937,0.6572581667880203,0.6850025567095037,0.7136759444400935,0.656730848868545,0.6807245225571424,0.8684416156305163,0.7385108363538851,0.7579603684947079,0.8427808007946649,1.0162881413120588,0.913945509716604,0.8487866769353601,1.1675714890773652,1.2284545116210972,1.143539639508215,0.8993881582852199,0.703935924805308,0.6864981909117682,0.7990462872592422,0.6961699422236642,0.8191988983637079,0.6679601315527296,0.6383729216718498,0.676865428691528,0.6904920480324954,0.6763507194711483,0.6264539222160355,0.8510007049576916,0.9459526360063002,1.0914472748672719,1.0701766057761843,0.8410309359568713,1.2075350062160872,1.430103901658229,0.8140114563350374,1.285551884845599,1.1948575479263321,2.315895187593454,2.6975883754549193,2.5841883966322525],[0.4486423431702105,0.49988459721986334,0.43148624988145134,0.3068093018042638,0.4368571454915892,0.35091753002351384,0.30017988399114987,0.31408674415343385,0.3279518299894767,0.27417337639941863,0.29325666596496086,0.403603654027423,0.31680890366097697,0.3258857993222174,0.4639661077016149,0.4064101392389943,0.43538395176591943,0.46652387646156096,0.6108763400092155,0.5090922646707011,0.5516775628206827,0.6338577241830999,0.7343669211021822,1.0371847687895088,0.7201737907947043,0.6435828700779912,0.5677421761125517,0.4666772450450435,0.4780935071179594,0.432063852743191,0.4432082029406998,0.42519143528706627,0.45400382596377364,0.4498177344757998,0.428636864593311,0.45706287268229345,0.4985947407323082,0.5324034701262322,0.5271636047294503,0.6069692692594397,0.6941800510749551,0.6695883777481176,0.6645278125395065,0.9150843846894372,1.1967660265444062,1.425562323418238,1.6400907290225,1.119412013880514,0.895727165899525,1.079481717800172,0.9450032177380319,0.9036369597147805,0.8160100825395565,0.7126201069539265,0.959650893506099,0.6423761977217866,0.6726646846980112,0.8074562561398653,0.7307659415919884,1.240928134731967,0.7222058654517107,0.59969871801073,0.5194009961209555,0.6549908856730815,0.5982165902308626,0.5328723850929449,0.685407249580194,0.5163836676179513,0.6518075879818648,0.5891756851631448,0.68821618522557,0.9216201286565834,0.700232986799397,0.9369665861270082,0.5423601225861898,1.232844568335621,0.5211981682999672,0.5168458635881471,0.4652871410422244,0.5037275449776412,0.5215566073433832,0.5922643142583492,0.65606065214685,0.48075872155739674,0.5896873869897243,0.5103943916412708,0.5075582746922385,0.6957675892362684,0.48417743789417794,0.5418290463960477,0.5016628926872426,0.787119009591128,0.6355759933521519,0.4882340781439384,0.44127843401341316,0.5289427980517092,0.5157522605655447,0.4341042983493728,0.37598446570956706,0.5152864727361092,0.41902571310992326,0.565564141055814,0.42420217959763556,0.4481009626968717,0.7500326673677836,0.6441358504051715,0.7075344503682025,0.6670487418962813,0.7057343010554031,0.8448582887610953,0.7383572734460317,0.5613397555794425,0.4229170873028156,0.45799125634291216,0.3923000099979187,0.434375375133366,0.47109837931660764,0.5348068241908647,0.7398157413431566,0.3996821839742624,0.4100774014895882,0.3428002217932079,0.3814606099950986,0.3345721475453079,0.3388825326882991,0.4976950481431734,0.43329022576189996,0.5215677973856099,0.5889771905611415,0.6667595561285911,0.6206920484703392,0.6572357908014468,0.6490476400994561,0.6527374368095705,0.6195428934490856,0.6035598923479286,0.7495043668635791,0.6714899991676071,0.5157319071644109,0.47572622587200425,0.5402736315506347,0.6882922900797943,0.6585191787159937,0.5039564240811881,0.5179710752265039,0.4848917833459305,0.4615497056519175,0.4664966595942057,0.4296168670485642,0.3928694025157366,0.4484660305462393,0.3805424010606734,0.5752236897315283,1.1875677345357616,0.8979346679638168,0.3864351120920609,0.3436402735088574,0.38112833508937644,0.3927818606648085,0.4625809369292339,0.532455137795142,0.5165926073370032,0.5423525489683008,0.5581136197390664,0.6037410134495417,0.6261572514492353,0.6324772593434033,0.7231482315239528,0.7897173519707257,0.7107922955789694,0.669932130295849,0.6186141877100153,0.603309289047011,0.5736134174219215,0.524836169582917,0.5373004921087722,0.5236760152680621,0.5917266749176315,0.5440653331527879,0.5526485887846092,0.608884518454827,0.597670369795622,0.6453401832331936,0.6940158376691227,0.622526468292601,0.6821276463587879,0.7623540329310072,0.7472108425611667,1.0195655136919597,0.81527064837207,0.904598472753569,0.7080645198280358,0.7061359875667973,0.7542925631801121,0.7373430243630134,0.8363848488474961,0.7638497163733893,0.652838579893082,0.6274326327189421,0.705178060832513,0.5607654338737383,0.5973521390123938,0.5935396037735623,0.5510644817184895,0.5819753555138648,0.6325461237580595,0.5101633067098711,0.5709604500665284,0.5864192705984748,0.6210395635911624,0.6427474471283239,0.6668122611312212,0.7623212426261691,0.7054863900484877,0.776210356708555,0.7673940487609675,0.8542907249682653,0.7339073561737575,0.6587736043919379,0.6422046971065686,0.6329261520432784,0.9230137718115291,0.768422315824812,1.1425969801683198,1.2367737599826463,0.7862173383890689,0.8566616836584348,0.8478703059360825,0.6999246004560032,0.5699658225053265,0.781759400292587,0.7847132498240097,0.84616084880146,0.6781344413547464,0.8666642698819383,0.8787506626100998,0.8061754445476292,0.9998889434793454,0.6103608251413526,0.8230241906625357,0.7613203086351706,0.7372000448280527,0.8574088882901029,0.8754968752930437,0.9265730988062855,0.7862955211718465,0.7220856333993667,0.8799665756815583,0.8518409746409871,0.700389645316137,0.7259841989624117,0.8025973595414436,0.6716375475782956,0.6446181818436654,0.7590546199870993,0.9505276730078248,0.7321289683735959,0.7396803080407947,0.6650452665367859,0.61841206593446,0.6196094229565698,0.6779991616620694,0.5853956985916282,0.5911980203591599,0.6036009069966289,0.6044997762150873,0.6470022110601608,0.5972101012378109,0.5872088268300788,0.794563873570865,0.666522786752816,0.6919690721133258,0.750081688316198,0.927308794653686,0.8216560794162052,0.7681182469735901,1.095261442767579,1.257601854435532,1.0253858072311204,0.8433169586374746,0.6662029090168362,0.6306814450121301,0.824180312679373,0.6558597392867275,0.7460633401042699,0.649657075083796,0.550069812828078,0.5746143615159742,0.5855060652156812,0.5815153641615225,0.5017545045196109,0.8086120574632353,0.9126994220411462,1.0987545420904192,1.0706289210745992,0.8001694577242033,1.2433193582176698,1.4724172352908886,0.8085772135130274,1.2731227162933716,1.2572701732876888,2.3718030665718133,2.689853571353219,2.6021178298748637],[0.4032223729507057,0.41467636892369214,0.3325676191620703,0.2597124968272533,0.39047722204796526,0.32576581496938917,0.24673695131838955,0.2838241557021586,0.35410260355074186,0.2402484643476406,0.27516917104452204,0.3794441179112816,0.2668160269202922,0.3039727969992386,0.3909201980813971,0.34427546960892036,0.3596211948516777,0.38276272044712634,0.5032413085040739,0.42514464385451434,0.4524252666020298,0.5100733976736057,0.6578893912432248,0.9514512074605624,0.6340501721553118,0.560948862241682,0.44799961168529445,0.3428885436622234,0.37696884704664807,0.3370292768259546,0.37100543451140633,0.362521550021875,0.40636204014874927,0.4083500522243502,0.34701559433280643,0.36632807000299933,0.3863512510625992,0.38160640057746875,0.36693578599793936,0.42505292642302855,0.5333487019407677,0.5393354004758725,0.4998900885799958,0.769937653701728,1.070676091216163,1.3682657954356068,1.5308714574786106,0.978925779717074,0.7833262948904567,0.9509884902355887,0.8214463854408571,0.7478382828038578,0.6400421149574037,0.5483780182472956,0.868726501760402,0.5060442441507853,0.5600212224492009,0.6529044713656772,0.6425031134361393,1.085307699928816,0.6256310992162938,0.4953431806560297,0.43527356498428216,0.5769067814047951,0.5041852032653299,0.43953353757824115,0.6412363830399154,0.45846608092992297,0.6052667268604942,0.5138961304602584,0.6826296865199643,0.9203426097911456,0.6558475991584156,0.8657956020196138,0.48456441021490065,1.123352771567668,0.42596379097389686,0.4264507315296368,0.36959257202489193,0.4206711543802965,0.4359054480889933,0.47293675217837206,0.6194392508723189,0.35644309759513576,0.43393994747427217,0.352680439619013,0.3859436338700086,0.5976822395057948,0.37992977801837047,0.5015395967846774,0.4355810630967601,0.6810850934187995,0.5479133861500598,0.43747496770572936,0.4001246015456079,0.4991238886843897,0.47768111655647455,0.41628861096525804,0.3609760267381555,0.5333945265822779,0.3543372513196594,0.5532198052469857,0.33983547944676723,0.3794938805358097,0.5915684528270977,0.5239276845799931,0.6042614910820656,0.5257626340917955,0.5612590724588222,0.7334058248558655,0.5974878781630136,0.408063024164194,0.3243954308528888,0.3327856387159553,0.30377749609835314,0.3060257783857777,0.36065428096716645,0.3993618831252898,0.6470479650591039,0.34734415006806285,0.3800035077040775,0.3010437632657569,0.3125021993357343,0.2484984135484941,0.2761928648989361,0.4142727309373144,0.3497104301686717,0.3621075028830205,0.4067377082122106,0.4855871850543906,0.4417294661221159,0.505511976044346,0.4493877644494022,0.4784610947779388,0.4211851842133804,0.4124006240127565,0.591285098299633,0.47319030536330536,0.34933333844584996,0.3176925979386613,0.4181174760336753,0.5585714028975951,0.5439549518059664,0.3723961887916416,0.37193480837184906,0.3511177754128577,0.30730358263564705,0.3414091951235823,0.3144119792610209,0.3337598281771681,0.40847503691973963,0.3760843187597443,0.5860109543858225,1.2640256432138286,0.9149509614638525,0.3644936352047516,0.29861184380709427,0.34260175814043237,0.30998986971289383,0.34774975402892017,0.387024744187893,0.3514976832966803,0.38299009654625343,0.3988407810869584,0.4549242133181729,0.4929212798252991,0.4622426677877841,0.5555948122471691,0.6197032029009559,0.5520409621763759,0.4853074304250904,0.4286548084663066,0.43387094797311415,0.4191281743455746,0.3538428110917628,0.3880144883931151,0.4065610040948378,0.5213277582963138,0.3802519979521362,0.38522217058801245,0.43701046891070605,0.4265922705018553,0.4452460589466151,0.4903245766924893,0.44126458440478766,0.5198785105256372,0.6034268739006045,0.5842099148891079,0.9109218889720062,0.6687989592395537,0.7638007018505739,0.5766393110463656,0.5394877735134457,0.5524039798470818,0.5193175006572088,0.6077455316143111,0.5731928455303889,0.46720432149550295,0.47487335138249376,0.5623921333696121,0.4310655585817041,0.4899887027080544,0.4633010412161293,0.4448844309880141,0.5059458500857356,0.5713430453996124,0.47135416376436784,0.5226085694233811,0.5836401361966239,0.6053440693873692,0.6281838896260078,0.6688202713744921,0.7825935146565054,0.7127361891118912,0.7558285975018786,0.7179028585632249,0.8732514838926709,0.6605904443730991,0.6191566091772631,0.6229001527700226,0.6008157011118357,0.967813850697797,0.7182287740054105,1.132086415769179,1.2079612661200632,0.7452096802088345,0.7995513891325375,0.757207905138863,0.6027926832829577,0.46489972168299193,0.6601182334963593,0.6479686876423738,0.7750153611464313,0.5597785923939148,0.7741712004922797,0.8109492560502222,0.7168067077124565,0.9550840371910342,0.5175420675473836,0.6473309145578716,0.6336852328675288,0.6342980486919704,0.7611899095897587,0.8602663504782219,0.8723493693448927,0.7005098209704861,0.6478961094456857,0.8477094212814625,0.7698091258571762,0.6523485968384866,0.7080394729156608,0.7908293047019981,0.6569474395571369,0.6607182847736428,0.7878745433513801,0.943875569390777,0.7617295580375405,0.7729752479442317,0.6752217119880349,0.6265164100141108,0.6030404482213815,0.6350303684902707,0.5728003309830998,0.5652482135366503,0.5953760562375641,0.5770529947775903,0.621593672692401,0.5325980678138159,0.5333920571880637,0.7326300809735132,0.6163736181756123,0.6237154643424614,0.6494765501245758,0.8192907759606145,0.7638768281596349,0.6823412355122908,0.9323805383800212,1.092220415108428,1.0011690332240253,0.7475536821661456,0.5693526203824804,0.5328971769953358,0.7268374051168925,0.5591382199646734,0.6562910308213487,0.6354640583200752,0.48842799351398025,0.4668958334597713,0.4328503595641736,0.42951098876406224,0.384213397706492,0.7184682662482016,0.9117762235319566,1.0600934033728173,0.9520153372552849,0.7959239394742652,1.2381107514695147,1.3689924562958677,0.7662702539524807,1.3272274517985363,1.2750650021355336,2.458377976333163,2.855422232528375,2.6310583111094408],[0.44045583390944476,0.4610346540509884,0.36072925374246184,0.28910067757261615,0.31484267676851596,0.27974282809319245,0.23039564762872017,0.27816084331604635,0.331476933335051,0.2400016146091836,0.2667954745486179,0.37873826698214214,0.2641239116517521,0.29223253612661987,0.3864728544250076,0.3382920772211739,0.35460552527203426,0.35227486717025674,0.4499131131749523,0.3871675922781723,0.4117446989603321,0.4589255081082333,0.5859856498465563,0.8412905256565807,0.5849270941522704,0.5008110757932922,0.3995455939591152,0.29664727784518635,0.33857935465096833,0.3125303411376706,0.36499180893775796,0.3653127069854086,0.4158802710218465,0.4121216285271852,0.3370500975504372,0.3427373508862125,0.3563602649023127,0.3317027619694234,0.3138672959489513,0.34279796480698665,0.44700020682931113,0.47801168136477035,0.42966668970643324,0.6756718229044696,0.9862536321790414,1.3333980122461435,1.448651169265236,0.8786598324881858,0.705840160152541,0.844514805081838,0.7422889514362643,0.6568571650033527,0.5469768003560527,0.480487912872886,0.84129699130378,0.4442309417714959,0.5271549772037678,0.5970488297410704,0.5979910933248043,1.018771545460874,0.5906440250974341,0.4788692100066394,0.4185952849448614,0.5520912322809948,0.4496451862233323,0.4166528003637303,0.6305915878086882,0.4297580326387444,0.5696761434748194,0.4902160837904822,0.6539423151481335,0.9270377621917535,0.6391665180063741,0.8038548586016334,0.4753179136113249,1.08396707556851,0.39967253578786377,0.41595627538973257,0.35991321552638844,0.3974860726682549,0.4222915119495016,0.4277255164587955,0.6250904517681959,0.328091188096678,0.36620097244231975,0.3056591371355155,0.34035079443289684,0.5610484155716894,0.3456215914767745,0.5051920535226154,0.42444563592998497,0.6634180587638446,0.5245453461889985,0.4384538465141024,0.4043791199261261,0.48974867071945966,0.47998311122857873,0.4259327743295285,0.36294898418205096,0.5154454437336486,0.3579182302643793,0.5168028706444241,0.3186531360448012,0.35030706605648915,0.5865108725018943,0.5087652134267546,0.5971665209245082,0.4710911607547035,0.5098258451502379,0.7257600370534844,0.5237507899857252,0.33548166473746005,0.2699160950170634,0.24720860035196632,0.26844176604345893,0.24942551335777283,0.31793729517413016,0.28347711960064986,0.5309133672254502,0.3390474892294536,0.360931056151987,0.3039502924531858,0.2572367535599667,0.19263949107526832,0.23108256809976935,0.3119018499074578,0.29742107025555603,0.27787508369622005,0.3296721801733313,0.4336035372900065,0.3455379327831826,0.4144483023503824,0.326382820172929,0.41992553990876785,0.31357923276078015,0.30885846427681085,0.4875032011079545,0.34185768382115816,0.2799616208880816,0.23466469089644765,0.30393120968737813,0.45886380714778463,0.4466059179825748,0.286538662884059,0.28846006124013596,0.3115553846243046,0.25525645169651817,0.29749809188775633,0.2595996858160177,0.30127404777331135,0.367193275715518,0.36184974710113466,0.5496701222693098,1.2190104619345792,0.9308379037833335,0.3732369003735322,0.2967864292776707,0.3141181435984907,0.29398860856170617,0.2943954650112012,0.3216103228015065,0.3083070351945639,0.2893341945124377,0.310606996443872,0.37723653716948125,0.4276294122235598,0.3406785790877429,0.427393474772954,0.4672318010228419,0.4246969644829582,0.3585818553833679,0.3143480003281295,0.3366051686184158,0.34636303480180675,0.28005419661572534,0.3567207774469618,0.3792796705232605,0.5183017455702157,0.3345789262319362,0.34031602932090294,0.3582867445462575,0.35319044897454743,0.3580324001811985,0.38861878995433385,0.34870293626693205,0.4193378617513729,0.5074686323636421,0.5034430091934162,0.8305526729735668,0.5879473395269854,0.6945295193190762,0.5234770831023183,0.4558359050245824,0.4606423066653837,0.4080698456892695,0.46481386171231204,0.4717103480087846,0.37348723460421157,0.3834859927071253,0.4706703906823489,0.39086341837842214,0.47455620455320746,0.4184636871480698,0.4081182697838695,0.4959937674378899,0.5647315138908777,0.46802460416764013,0.5082469778051534,0.5723798450008567,0.5882786002040029,0.6041525914325317,0.6339363691875313,0.7593631509417502,0.6897527585983888,0.709106308830306,0.7003603247979607,0.8275254334332834,0.6326104095837044,0.596795052378669,0.5952323766735861,0.5695006318623961,1.0012797595394287,0.6592166668679308,1.1475106503396344,1.2280101630057332,0.7553400412001894,0.7694236546161449,0.8017997587393589,0.48340961027541424,0.4047120634407924,0.6404446057744048,0.622604971854899,0.716266070059957,0.5030681037512715,0.7895898187495219,0.6922886710317147,0.624719477239405,0.9270963830984037,0.43020127462876867,0.5775614766494073,0.6164599878186144,0.640716343944384,0.8047486466433648,0.885451413366231,0.9395248743929534,0.7251928792274231,0.6776255860696819,0.916383404464807,0.8186614864873077,0.6755051440323302,0.7476097139391801,0.8207558301418637,0.6693201392724171,0.6654212531110277,0.7911192968215491,0.9409277316822023,0.7512891174342871,0.7454571355491784,0.6510719905126908,0.6142949594798216,0.60779871670268,0.6533418663935379,0.5539592176704677,0.5495906092478982,0.5728943644341844,0.5384842926570976,0.5942323299760272,0.48874476844644626,0.4684158847311181,0.6727405053505758,0.5715786492861448,0.5271960512471707,0.6341659366614022,0.781576736457465,0.7466918488213866,0.6757430343911325,0.9524903390028847,1.1543578053510153,0.9471418405717494,0.7642448206248679,0.5841409051032326,0.5411947159640729,0.7927575685175722,0.6149881889733544,0.6811511844099533,0.6761539444638252,0.42295460870030827,0.40175512974885225,0.35294959855504104,0.3553340379068465,0.3551492961326954,0.7070417961884568,0.9589625653152258,1.171680872075515,0.9483524859106042,0.8460648927636454,1.3853254738866243,1.4644410576785705,0.8141484268753869,1.3876079279973579,1.5278048888578117,2.8889061711531623,3.4167399811345707,3.1395074895841435],[0.4346137837529701,0.4133595772976441,0.35453961333594464,0.2889374925453056,0.36090106184396487,0.2633478946267036,0.17323532510553863,0.2556028191311256,0.348913389222135,0.291411291327823,0.3437530742469603,0.48368457921930424,0.3225658852694977,0.3324540268594343,0.4165352858380692,0.3744280205042482,0.39148348177159065,0.3738593678278382,0.4144905258766196,0.38837028916633703,0.4123254478422118,0.45027202635199326,0.5662006319546704,0.7663175668362182,0.5959105804480538,0.48987704601123216,0.4023392699419576,0.3335823848560965,0.3572611805186454,0.3466054023275608,0.39727511746799166,0.3953074490045721,0.42303763603224515,0.4416827245846461,0.3632173083316999,0.3566307737009168,0.3747062029370266,0.3424918129537526,0.3251394075056037,0.31743139561092626,0.41724211370368613,0.443619461505557,0.38647043852882024,0.6034115658170395,0.9236764740976932,1.3305641456389825,1.3803747132185358,0.786102079051934,0.6715489642896237,0.7964172738916365,0.7048241490075818,0.5857888947756816,0.4970368187074249,0.4378044751275944,0.8458623853639733,0.4168537413253876,0.5033732128164623,0.5369201521985749,0.6256703445063377,0.9478956895426259,0.5974072714353886,0.49802883110808754,0.42992128686197045,0.5403788503103722,0.4508990462730905,0.4256512181909632,0.6646689120283199,0.4434454507595561,0.5695759796394715,0.497603134593234,0.6958699561848017,1.0001277197368095,0.661029801343781,0.7454205164334661,0.5042148734016484,1.0053079086528305,0.39778001841000704,0.41274533236115796,0.3898089611840938,0.43244142090490334,0.4378546237478523,0.4124880696162224,0.6578476179523283,0.32058567491447815,0.3558907257669809,0.3095558707365548,0.354258254711076,0.572326676178995,0.3486235149718228,0.5061244849241723,0.4287031570614573,0.6357232221204704,0.49934532784123525,0.47581889707982344,0.4518098922091301,0.517110386591885,0.52517419045198,0.46319485004877947,0.4166134214494373,0.5580175233301937,0.395301511159433,0.5511519631051476,0.3297199920647195,0.3694304844245579,0.574843774624714,0.500475904314194,0.6213800130150233,0.48122063265842835,0.511931947870323,0.7021203613627625,0.5194799931136773,0.2986043734070444,0.2459330063661961,0.2765668062036082,0.3041907693698672,0.27118685482699906,0.3272907841406223,0.27937869979466334,0.4797703087904114,0.3904093701219146,0.378370292463768,0.3350226276810612,0.26375924047326516,0.22515488135673023,0.2659843422692239,0.37103915631735557,0.3034644416405505,0.29687980140138465,0.32764824488925937,0.39624767884843526,0.36258194079418843,0.44912805966134756,0.35167554957686675,0.4421394695530419,0.33442675375452474,0.3252377618992541,0.5063707891083815,0.3426007509373051,0.33427192943204315,0.28724355330770224,0.31957904781685753,0.4436156751662351,0.425945415906296,0.2991605961531202,0.3028561920841393,0.3200957360565669,0.2807198678445006,0.3286694418847673,0.2523894856228618,0.2863221362326115,0.37133723676719477,0.3841211858726845,0.600859387745459,1.2864758012543358,0.9182796070409917,0.4201452185871666,0.34796183044630336,0.34104300349952954,0.30922549260487386,0.31361667580414154,0.3010948918714543,0.32055260677070896,0.2935875522810185,0.3151289207513214,0.37484493324474,0.4421146260270859,0.36098031054603524,0.4415194850640935,0.4958658584339383,0.4561670555834807,0.3653629832083719,0.3162666711039082,0.33089144992586367,0.3394156622857162,0.25926031887295503,0.3442352420486181,0.36874570640694543,0.5578542619750151,0.30605805195683417,0.3538507093170637,0.3272938256825809,0.3397613639832343,0.34455401182651596,0.38845544728539994,0.3433990773961062,0.4025556304243376,0.4771800705415358,0.500624453856183,0.8070964926838824,0.5663615556049796,0.6525578396817125,0.5188288139837657,0.46165628385069474,0.45173927068301123,0.4022693655850366,0.4505138783118812,0.45190919613135017,0.3765273299399198,0.3954749568487997,0.48764834550355035,0.4289195094988347,0.4959498795792976,0.4287764845996407,0.440290215961071,0.5367139014276883,0.5871300340641499,0.5009048816625331,0.5318995830749678,0.6152000430005845,0.6047132343179888,0.6250814860360456,0.667035628583975,0.7865534863131309,0.7121500240934345,0.7178637715990221,0.6920854667946555,0.8508147356686859,0.5998617782424827,0.6128768211694857,0.6277316237783487,0.5933601263180274,1.0368948670849398,0.7345269797686762,1.246426505111279,1.2441336283864286,0.7949482925227426,0.7995906549688004,0.8170978435723596,0.509724653547053,0.4650598758358336,0.6902884330178306,0.6612865052461471,0.8091064290609143,0.5742648240625462,0.7350120774868207,0.71670678291081,0.6700596171588975,0.9004079289121436,0.48618319698257273,0.557481256618519,0.6246669056517486,0.6781894172197136,0.7964305709403675,0.9162734527119737,0.9179281084134296,0.7290857283403803,0.6920231416982018,0.9308007565821181,0.814901845595422,0.6955587171193558,0.7677810656726797,0.8389161375550209,0.6939307846975232,0.7085134964007898,0.829829762422777,0.951368484008049,0.7917810549415213,0.7964237792742742,0.6995595846896687,0.661313456857523,0.6505336467009917,0.6817196527483632,0.6084084399748324,0.5960926067845415,0.6462723526404811,0.5968506043140852,0.6409194715330893,0.5356133848330801,0.5246786200130349,0.6901443953660352,0.5785734596254639,0.5674646405806397,0.5913578458603307,0.6725438207695067,0.6420374235070849,0.6053597626316395,0.8132134860601908,1.022890537515804,0.9332675662420136,0.6786870665900214,0.5349003390900261,0.500039318659985,0.7344598669618446,0.5785716724513373,0.626780186727608,0.6820372797247598,0.47957590625166685,0.42917187097079773,0.3749288413766386,0.36582299983255057,0.3565683856077628,0.731293679457837,1.0179695994567448,1.155974797943383,0.9258570217051495,0.919240966019194,1.382881189927407,1.3605054586979024,0.8418336747345047,1.4660041192200317,1.4777400621188566,2.7386239749365444,3.1831549144865483,2.8544202941822907],[0.48902012336060313,0.4164954072386674,0.4376920947556756,0.32410563002574916,0.34708404178102426,0.3556140009483096,0.21119522037222888,0.2918449984044671,0.2975598774319706,0.27697283741843626,0.3626951212536584,0.4971646262897106,0.34103228178343375,0.3139809994615835,0.4411302252063173,0.3940929931118635,0.40863800516212145,0.40936269258320995,0.3940722551542202,0.4014714429472775,0.4109594212064455,0.4399081118451888,0.5618878276257215,0.726225485357501,0.5582874195363136,0.47676962125951633,0.42409130486265717,0.37004098763955384,0.3875447626607106,0.3924700185044853,0.4374714016495415,0.42764694568081235,0.4691030471451995,0.4953647051819992,0.4089118252765778,0.39575088632994876,0.4033238019376382,0.38102171028294257,0.36778513521069356,0.3382621529523587,0.4207325952033196,0.4805275329057077,0.4206918231406382,0.5744486523897917,0.8852147432329273,1.3506553833428334,1.327320824336897,0.7552559318968151,0.6772666601835018,0.7608965464928601,0.6927396121617303,0.5645434705930927,0.49453798558579254,0.45358882314167903,0.9032594757224848,0.44425324367820584,0.533168876786492,0.5474113121385745,0.6508777283694457,0.8680770077240724,0.5973273902204899,0.518983001477894,0.4660883294088935,0.5664545184457668,0.46933057089175617,0.4407191404204513,0.7066497211173448,0.5079519397328668,0.5816484241843026,0.5238242087983636,0.7517431772143744,1.0847819948126145,0.6971486308341873,0.7231337406140217,0.5080936425361544,0.9544337990178808,0.43261846629051615,0.4576623632265487,0.4537360474226601,0.46471279315369657,0.49616974913747786,0.45561303483375437,0.7206376894436552,0.35881313630317135,0.35812706510205444,0.36289574971852473,0.3840437099595869,0.5731417329230463,0.39682006063659475,0.5538271847011714,0.47891656826277024,0.6190062540997986,0.5258095969152575,0.5116872548151076,0.4891884715532701,0.5603125402370623,0.5678241999846386,0.4928038226990196,0.4516079902495077,0.6114245185749573,0.43325098399464906,0.581777055318434,0.3848831477826697,0.405559971449472,0.6025127975837123,0.5131264587350538,0.6633658305419207,0.4625526346391878,0.4946448390575263,0.7281216699656826,0.477391736705833,0.292113708620067,0.22599125681386284,0.2749168009836393,0.2977957130699183,0.29090506073994826,0.34360016748164673,0.2868068663189963,0.4538393650945306,0.4609684506229857,0.37942627517344774,0.3244320491349244,0.29154357324471786,0.23764120643238315,0.23287366683266714,0.32525277461686664,0.3269280038373496,0.3090424962518967,0.30675883585279534,0.39773817313585663,0.3263597448357731,0.4144012434582467,0.3176464210867418,0.44405447639478773,0.31768572306938087,0.31232617191199713,0.5082484470335467,0.3225019408912136,0.37581437492722913,0.3104224017689313,0.31692937280605893,0.39776220335043616,0.40529446121413804,0.32423890518132975,0.309494712571911,0.34217555565183455,0.2914337917517991,0.3290405428776879,0.26894689359472906,0.29006437653317246,0.37800830221369836,0.40956867760188753,0.6345097619373854,1.388490306206746,0.9893181763042339,0.4680282607278899,0.3865724606352483,0.3711232141057734,0.349552891764414,0.34995655650766117,0.30859116692471655,0.35272119358096155,0.2893952099606309,0.29554296512152073,0.37351870095659484,0.4692317099627293,0.3502604607340111,0.41641337123135147,0.4568386081736271,0.4346120731735351,0.33796934994314803,0.29024711297190586,0.3218500094720107,0.33148333422014026,0.28243215549483736,0.3867729812512151,0.38352401626869614,0.628609450563033,0.3339578865347798,0.3957487484209761,0.3241119766261064,0.3469826753776877,0.33072041465863855,0.3705148037886104,0.3657000836380672,0.40244182297809716,0.45361338088540065,0.5368458240696867,0.8152347355450691,0.5228192273395452,0.6068840879905738,0.5427953376928556,0.4714650444368799,0.4370107068170892,0.3764602670972077,0.3917998889854286,0.4304292380861332,0.35795145719162313,0.38487026602401453,0.453629746441424,0.4690745744276294,0.5504313244841846,0.4466512946697684,0.4638635820377913,0.6092329640147621,0.6446786360624829,0.5045675032404368,0.5693520861313208,0.7145523096746613,0.648384849018556,0.6559865711708107,0.7388554998919721,0.8638166131298737,0.7632855863764921,0.749188670560116,0.7143834909383326,0.8929593034566994,0.5968035408754567,0.629974992893522,0.6927207107354675,0.6602103109909919,1.1114499746164566,0.8233621189653696,1.4036279485400946,1.3068941539978742,0.9220926921157363,0.9223337504068694,1.0023834340339117,0.5650710064117543,0.5522534042522945,0.7764575958424096,0.7343558164127206,0.8368294868995078,0.6024069062984688,0.7593963509007443,0.6290018721222773,0.6506449156817374,0.8498198200264935,0.4791369887460274,0.5893930622971345,0.7291405073807076,0.7959168904758648,0.9216828930605141,1.0541159511719635,1.051552297263401,0.8350561738488828,0.8311646643977577,1.0858506300162238,0.9263935369295404,0.8403187049020272,0.9445273600959838,0.999729906866113,0.8313789185345172,0.8627113566197547,0.9956877416912477,1.0651398027931511,0.9069045518939519,0.9185218673392636,0.8133268311363173,0.7986155059871238,0.7923253728335358,0.8096271105195526,0.7177217870662314,0.6761904502658123,0.7456399428253566,0.6600855655038993,0.6869272997902989,0.567204638048558,0.5603067002880425,0.6934624776790814,0.5870313613199694,0.5451306166077592,0.6084398753089566,0.6565737497784804,0.6175804014611969,0.6087423177464092,0.79122100023303,1.0077208978548071,0.9065466922974291,0.6473497313616816,0.5220280993535299,0.5071597067574194,0.740809668403681,0.5836316369055782,0.6049814684379237,0.6727678166090614,0.47853657379414466,0.40188110686825607,0.36573262646363286,0.35002272892346037,0.36601899061553056,0.7786237505889162,1.2052298637912064,1.318768478431752,0.9254618024823255,1.1099134306714646,1.6734189732589329,1.4078195716376558,0.9312769167810827,1.6789892299101252,1.9008405591022588,3.4610299967836,4.194927808125952,3.7602731694491838],[0.48574007701013205,0.3465689883308658,0.43332802358732786,0.31652941871172696,0.3979222683659341,0.3840504217426615,0.23245467113636403,0.3496680023305716,0.3340999092440896,0.3093018857223546,0.3799250672340797,0.5394735676324344,0.35506249957619207,0.3333357166208278,0.4920980434399787,0.43165521957633496,0.4394344156139688,0.4379497325285185,0.4155369854479071,0.42155662304643177,0.42285351304527397,0.45899971487518776,0.5387180293885507,0.6599365733153221,0.5737141916026659,0.4798724644770971,0.4243620287608142,0.4028774667436187,0.431296160371752,0.4410880568282958,0.47803980683764463,0.47880999755382975,0.49991008907263634,0.5306066594446367,0.4578966409852071,0.43924658229002306,0.4502439276325403,0.4338054365184508,0.3986896909990699,0.38043210325545984,0.42557646412319783,0.46741808961615333,0.4379792634641166,0.5760982242223691,0.8281971013534972,1.2889639415630618,1.2061347627240717,0.7178508980591082,0.6281017667986781,0.7161288865686193,0.7152609901155441,0.5503691294269868,0.493026359941265,0.456991023780793,0.9355937713632784,0.462830788819428,0.5522818853228434,0.536909906092161,0.6867636453782829,0.8882348548660395,0.6398823236402669,0.5908109760085278,0.49427805136160735,0.5516532541728443,0.47931714295091643,0.4813269041451286,0.6898150661453213,0.5277126501444094,0.593526851371665,0.5545067922341219,0.7680167512977035,1.1216242273810673,0.7262000551752049,0.7008682304447723,0.5664105272251285,0.9104924013318115,0.4697921155016267,0.47054102931151515,0.4886303809200481,0.487924816890161,0.5484276075378192,0.5170633359217306,0.7578101226882066,0.4171095442600557,0.40387178456764344,0.4075253370636004,0.4315580265454061,0.5836411343493171,0.44013138480979896,0.5903453283528498,0.4900238468467634,0.603763479653763,0.5297947509392443,0.5352808605078707,0.5151212450704489,0.5766242220032872,0.6115711248159391,0.5365488808671381,0.5026802842950006,0.6315284889024559,0.4890953123249751,0.6267827650976965,0.45475699921485324,0.47159259097787776,0.6247756856341801,0.5626293423107888,0.7362346406502692,0.517668525413449,0.5475528242524045,0.7515008331482474,0.5244166215853645,0.324485311643863,0.27301678671489,0.3090648427569126,0.35341842495773146,0.3258624997018361,0.376787097554959,0.3183467520520617,0.4074387207848068,0.47332596132560484,0.36142238435045004,0.32446496830220106,0.31623506467537515,0.2769048806125125,0.2880651468874249,0.3579231064923902,0.35844713782287047,0.3462508527053214,0.3394172219498364,0.42192508609481777,0.3745254059763434,0.47231915065849706,0.3549361353862643,0.48200224610751685,0.34672231087962646,0.33720028693008414,0.5001209919870115,0.34776940296147757,0.41465810481060117,0.33503323064859863,0.3587999147314921,0.4221451161005205,0.4349078896289368,0.34115913979127854,0.3305057412067151,0.3711310151049364,0.3349241248231148,0.37547996091567626,0.3216023556879178,0.36067569710058256,0.42954779317179875,0.4588639933354856,0.7057768715474532,1.3700886883998609,0.9122924185456941,0.5070665056543691,0.4430817949905786,0.43743588423786195,0.39651842110528,0.4021886692372082,0.3239210092774074,0.36756095771756914,0.32887129194396925,0.3362257958944844,0.38925076423828425,0.49554418227956704,0.3591858975799612,0.4184315537253559,0.4804264505664616,0.45712221800670205,0.3705090076328188,0.3333576553254533,0.3366794379804635,0.35932742304719906,0.320767366808179,0.4100424157404224,0.4227361324664672,0.6676638000075176,0.3851855542454789,0.43112023608966593,0.37664170329482227,0.3938801363625391,0.38909931220918376,0.40756187405405764,0.3827967944298652,0.43228790618337243,0.4891222478008093,0.5631082200262696,0.7949959493618,0.5096113931318335,0.5627864810263495,0.5109171796338348,0.46615796935945036,0.4370703583462687,0.4111411633442887,0.4288597140619145,0.445052384131016,0.39840149583471435,0.40489946796247683,0.48459178667860336,0.522440039436801,0.5990961437339856,0.48766824505992223,0.5234353243198472,0.6649185624995885,0.6765512271674187,0.5532015263801111,0.6159243427080584,0.7505577495447514,0.6740487388353731,0.701641960129869,0.7787376591249141,0.8843592484250821,0.8132563743879,0.789507868695391,0.7639604880455291,0.9094777881593382,0.6453731822839845,0.6807529170662124,0.739227290969145,0.7191739962175374,1.1636329202193367,0.8765465341109773,1.456044164612903,1.2858836982965303,0.9094501642586956,0.9003823186583492,0.973775180519115,0.5980160013684731,0.6137957902874976,0.8021773704713598,0.7648277304033202,0.9157487425558856,0.6643503492885118,0.7765365147004201,0.6514230596190126,0.6614217236249137,0.8033483793901782,0.5150893555993181,0.6175887718550946,0.7205680563616865,0.7964095207130067,0.8912570524346254,1.0604980178790213,1.0017100444543796,0.8140017061156409,0.8327080172120712,1.0729229353939524,0.9061694474512227,0.8505277800856855,0.9409105352053798,0.9893635753216887,0.8549718488254423,0.8903377919786352,1.005834466280415,1.062852163788629,0.9432856303682673,0.9567704478092767,0.8535949314168769,0.8352002031275282,0.8251184436239594,0.8415100192300112,0.7632903892170995,0.7296281143583556,0.8103800234739632,0.7256447213972693,0.7548207641115596,0.6340836099547579,0.6396834855804927,0.7798384901360785,0.6490841323024146,0.5919369863367153,0.699883329288696,0.7048283813147619,0.6480339093586506,0.6199795416367032,0.7405797653502565,0.8920941859231944,0.9170296068940571,0.6692239067640743,0.561277019016225,0.5540292435108082,0.7653987080031498,0.6227458262032352,0.6274588059752298,0.7240902414824626,0.5415428288638122,0.4258455298428648,0.3975704687257924,0.36951582210858797,0.3948998468245907,0.8121658519483137,1.2502949169388746,1.28181009243717,0.9010520502445519,1.1743642199526063,1.660265137291666,1.2332895891489364,0.9270041582537192,1.7581558971315376,1.863817874985394,3.2238777378273715,3.774412640201098,3.2777777898787943],[0.48994795093837157,0.3617803308933852,0.4920565070529286,0.4298666018111212,0.4680667773645066,0.45813175381322285,0.27026376431047394,0.3958123825190874,0.3248108576858796,0.32754762083016625,0.42672728757646083,0.5743757319161051,0.41024246475651704,0.3847154124985542,0.5919270961795272,0.49835550171636495,0.4756359551467573,0.48993951900259286,0.47305741985524136,0.48832916506173896,0.5039303373818081,0.5375594671051588,0.5519097981038626,0.7209960395842376,0.6274570876993595,0.5402368836826196,0.5397604815923319,0.49347012903727216,0.4736681912185962,0.5137283299904717,0.5609642142251101,0.5719932946469379,0.5999929798064867,0.6325535461868639,0.5616144174919346,0.5307863321478801,0.5237416375305189,0.4953405202750259,0.44854479675651177,0.40852540238797047,0.44074933355022294,0.5003009934328284,0.49997531551347896,0.5374698720157932,0.8191965451317885,1.2980715877645321,1.1958327201683645,0.6665076098877251,0.6282699114978466,0.7016105907918296,0.7085935572994462,0.5231398656659433,0.5372548501338492,0.4769333535077984,0.9653087757560634,0.5452681944771838,0.6087926366606708,0.6004339595601639,0.760871287324944,0.8678996404598569,0.6684279131387507,0.6576009761847129,0.5985873790440442,0.676147353441608,0.5665554049377612,0.5730186388685499,0.7820026610681762,0.5963881534107013,0.6301914280352027,0.6011396913476567,0.8385733148284283,1.19822875963883,0.7745028751241376,0.7315631307582124,0.6589714030440894,0.963645517931134,0.565816064922328,0.5834785784778204,0.5865157767531095,0.5780941495127219,0.6327311823554026,0.5926433156142756,0.8544528584162849,0.46234625788814326,0.4524398192489656,0.4703433751662809,0.5151861375616636,0.6174043231798194,0.5277454730240584,0.6761470457640039,0.6065391603410483,0.6733759745993818,0.650482960489033,0.6763941817411342,0.6358135778211105,0.7193597979856547,0.7446557477027831,0.6497747042278712,0.5959446325444963,0.7461808547542605,0.5603393321048884,0.6608346386747598,0.516656747974599,0.5024571292040491,0.6579387805447283,0.5591365838760822,0.7483428369026902,0.5476791149116135,0.5743373086767487,0.760743798367786,0.518193696707773,0.3049430272231604,0.29648633878805747,0.35607829269755614,0.396229612823034,0.37709764597189654,0.4576738274186416,0.4148896358078829,0.5265122864502098,0.5753823427889834,0.4899627194724439,0.4255369311423788,0.37149385965982223,0.3318525171275427,0.3195385594726657,0.39418390982516827,0.3959747584749527,0.38741294765856976,0.3656160295693265,0.4265457914547731,0.4011928185975767,0.4945395811382323,0.3944950037740544,0.5150775404139305,0.3761174746722689,0.368978910422985,0.5241446656326252,0.38215024897772426,0.45908729936346987,0.3996911268207534,0.4437767996991923,0.4812193325008182,0.4928928900570782,0.4070852268302264,0.40111888588791406,0.42732853418804045,0.3855353170265103,0.41833785620203895,0.350590677860731,0.3747521849086935,0.45779872317589276,0.4867284102619869,0.7901952503297266,1.5141835109317465,0.9842692749124158,0.5945546841705288,0.5063072772218897,0.4802819685595381,0.46077505467909297,0.4272048354016992,0.34731205781168034,0.4097951490551883,0.361086946961803,0.37394083801280414,0.40854435474998496,0.5442200250051688,0.3907219108908161,0.45765369594868077,0.5180682242002855,0.5103010010325786,0.4095525747832226,0.3769831024736048,0.3554936937076253,0.39253640673309925,0.3696933291498629,0.4833294068960724,0.49002683538448255,0.7603244974743989,0.44149789773403764,0.502683956351059,0.4026612236581061,0.4077188357077667,0.40841771830511525,0.41385876921521236,0.3976440727758295,0.43603505057483505,0.4807666359005365,0.6024678717070138,0.7943029382604011,0.5200465960451385,0.5868871501717626,0.5549873392773748,0.5153378351073645,0.4828945259389257,0.45605160386406507,0.4674762287015914,0.48947550162545805,0.4664199410455765,0.4585739366247194,0.5255527492404797,0.6151061529614519,0.6893334889641659,0.5542021763371677,0.6248296012643135,0.7924228786439481,0.7785829757012958,0.6441931942024087,0.7543016958884439,0.9166037305540288,0.8084677641263549,0.8548489681429761,0.9752120877064785,1.0475071477748337,0.9837384589799201,0.9834327869160983,0.9364840380007197,1.0999108760725351,0.8065563307027291,0.8502020566642923,0.9389914499728755,0.9079890185352703,1.2479822245132561,1.0854772302092184,1.6503387707314383,1.436398214452977,1.0725188225419298,0.9942455273755761,1.105362704043106,0.7213596719661292,0.7769574680867464,0.9170860613348956,0.8888782196934985,1.0378312893233204,0.7645813809800465,0.8215374745803993,0.7437927900290338,0.7476315214561301,0.8199105371883687,0.5954227344394815,0.683145764842783,0.8033435582426574,0.9045835430381008,0.9961215134905449,1.2045432591005,1.1174938210361895,0.9193890027852969,0.9876607648332405,1.2293457574130568,1.0183024320533949,0.994863423631564,1.1258035044862293,1.1618339406369003,1.0296824287814763,1.1080368032058052,1.2300019064568557,1.2359795442521424,1.1579544985680432,1.1902231670948384,1.071806926559931,1.0459325742931744,1.0066840808939712,1.0199322821233432,0.9759713405065896,0.908201102534346,0.9882649294368172,0.9151136060294989,0.9364954600970432,0.7821403879062228,0.8199720558192888,0.9388099679906664,0.7799522363522876,0.7251104014167509,0.8531155790388388,0.8424158674093642,0.7527159227679084,0.7210590608579832,0.81431979613223,0.8781486915232343,1.0471984022641683,0.7651766369406466,0.6716972742809856,0.6625728573302224,0.8124530755235254,0.6917856595923877,0.6872237391716708,0.790048930444803,0.6336103091715536,0.47724470121332346,0.4525406709982825,0.39539796474740907,0.4378627912111903,0.8800683042292456,1.4246242989572664,1.3751326529794485,0.8826356044442139,1.3595619623773922,1.8375553687353927,1.0891527294356973,0.945071948210165,1.9479377185610651,2.1503347204972085,3.6086817918391083,4.545806786894412,4.031710028163002],[0.4510042823613216,0.2985586506934982,0.5704162162005274,0.3073318903960047,0.3701160538429849,0.45249456399335136,0.28027034171739573,0.43293184977532095,0.3262801351045951,0.3250897428446497,0.44189321617314914,0.6029500311879418,0.43447368731182656,0.39288371385045157,0.6093560644086579,0.5245894400782818,0.48005678065755897,0.4996318482812222,0.47217170433829336,0.47212657459877827,0.4811505041056997,0.5357896828312179,0.5705019591319486,0.6471853936026316,0.6098874957973157,0.5088932316345045,0.4911196727586304,0.47459507470698215,0.4993336653872502,0.5270358603702395,0.5800445758064116,0.5974551083370645,0.6361135233547202,0.6550570292940807,0.6015413054937458,0.5445883877115726,0.5571927594556831,0.5218383777778053,0.48011547928963616,0.4653968648329738,0.4890675724598851,0.5266406718649425,0.5277545279299237,0.588959191566823,0.8183365309885359,1.300349275495478,1.1769298271484772,0.7146819294411676,0.6623982570390629,0.7337395349618479,0.7840056894726385,0.5882165720472337,0.5874252949436495,0.5040305509460582,0.9888085950653922,0.5553825825741283,0.6174549345855318,0.6107565952095152,0.762583877724606,0.8355963600100635,0.6910131670846178,0.6792582862553055,0.5903012020004192,0.6369210485599208,0.5486745825863523,0.5794088751489357,0.7330648482671288,0.5892667401573518,0.6495437463880808,0.6250205451184556,0.8508019626626212,1.2137961748368722,0.8084263269068821,0.7401073280110514,0.6728055601203182,0.9158081782847096,0.5637604380669416,0.5998344454955871,0.6105053647905414,0.5785464749269227,0.64515491167961,0.6324279553244541,0.8586106245730943,0.5177705626821834,0.4889927851681062,0.5074793345739826,0.5387329174136293,0.6701788277144706,0.5493590702971958,0.7283117173987285,0.6082207512084642,0.6487234372828626,0.6598732570766511,0.6984937177612013,0.6489294997747315,0.7484465148713453,0.7781270710394447,0.6903902564244147,0.6554516401909993,0.8057540089626789,0.6254136917074127,0.705903438006097,0.6054202112449344,0.5968226623689072,0.7256302238585904,0.6484495955861718,0.9030943804249644,0.7198352758925206,0.719748261963307,0.8618304401467718,0.6554715511254642,0.43886403814613767,0.3408664695690132,0.3668754875135009,0.37240071835516486,0.3451881608989958,0.42781181407755775,0.35244664973672307,0.45010516705531123,0.5650960587431092,0.43585020326837776,0.38952856179463863,0.31558394430027087,0.288049721166202,0.3018920148959195,0.36900261448241667,0.43952778226971456,0.45664541720028845,0.4836252810304697,0.5528865660343026,0.54566256517096,0.6607446768569599,0.5403289158774337,0.6531532026652177,0.4838596391348365,0.44250066701016855,0.6143312783309486,0.4213110997657443,0.46435579755436385,0.39569309505641204,0.36079712461828983,0.4375083461180228,0.44920215589907536,0.37446767791417773,0.3903719955724105,0.43321924363928715,0.3905768334545109,0.43480066055009114,0.4023457884466627,0.4062333260890542,0.5077974965083083,0.5300611784985945,0.8551317301555648,1.3698810821465264,0.9076691119590157,0.6626229562735445,0.5687693982983552,0.5656952215558794,0.5194330264800509,0.5174883018935099,0.4149254873001535,0.44828030397145097,0.3779701748659552,0.3967125654751246,0.41989378865598603,0.5112068900642228,0.4565301045181484,0.5089878681638011,0.5815891840586218,0.541450692467162,0.4673582694880445,0.3987109703989894,0.40836812717273924,0.45665370212607914,0.43059756348124256,0.5250155885409407,0.515248219542813,0.7732930772081203,0.5016674275506584,0.5600813155947123,0.479666893507045,0.5191525953649124,0.5415977436424558,0.5588898341654809,0.5062960227411178,0.5266338169880435,0.5358549386653001,0.6140368892031441,0.8241190538951972,0.5680164412416855,0.6077404803413169,0.5370774254261861,0.5546654277567917,0.5525033753720929,0.5622873213633585,0.6160095082973489,0.6315288031786876,0.6368956884721567,0.635475235992862,0.663277695869985,0.8136955020568895,0.8587802089433386,0.7137189596836042,0.8066466731216044,0.98553671718554,0.9401692419972599,0.785490818918583,0.9349237746742244,1.0964249761597673,0.9580340799590741,1.0025058798792785,1.1350563660461135,1.1713180496027291,1.1270605814621806,1.125976462552041,1.0763639281174382,1.2505098991549075,0.9713854255829537,1.0357766797102128,1.12496207341512,1.1156580289978564,1.359482255799068,1.295713068102358,1.8240520251050596,1.6000678058541844,1.2444140179521188,1.1203894133972647,1.2502891402293186,0.9232854259998953,1.0427501021638417,1.1415729136454593,1.1279813023868914,1.2890500338315036,1.0191067197379948,1.0462586936956713,0.9746297584802139,0.917687792131333,0.8568604014857416,0.7862351627259391,0.8589294143643719,0.9834859809741298,1.0873631466264433,1.123341335097387,1.345675831483706,1.2050061617473102,1.0636938443129265,1.1504337671289304,1.3501609557098257,1.1348689196949666,1.1551044798532897,1.2634833365927645,1.2879663703899218,1.1933638191285065,1.2774332117039733,1.363254709356161,1.3560542419325183,1.3099640368983352,1.342864232593566,1.249579805468391,1.229659204454994,1.1999333481071601,1.2100608736588232,1.1748400711433487,1.1113517651823217,1.2140287884115237,1.1379840583101328,1.1512927289930361,0.9987971932602396,1.0726337378301787,1.1398930160644445,0.9607741777489338,0.917486729749216,1.0728714525101173,1.0140237371246144,0.894331750253781,0.8567245267416185,0.9270549901485907,0.9568643898192942,1.1638690952384951,0.8665278714756997,0.8200444832821527,0.8034512043274357,0.9048728065874533,0.7987653635842596,0.7943038301078238,0.9107714742350937,0.7783986529355555,0.5278673676334179,0.5987276138601928,0.4880720489100708,0.49562497343912765,1.0342821677031078,1.579451248119142,1.3910971042898677,0.9348669914930017,1.5385231295789246,1.8421916189695355,0.8871184985144821,0.9257162539267214,2.031013973037023,2.1042528842050174,3.290239110396011,4.093515694068526,3.420923513289706],[0.557918225142878,0.3727381925871488,0.5947449157205166,0.33910467337651584,0.45047847837227945,0.5424491088023046,0.39502766734555217,0.5369387974410043,0.403444368944592,0.4135151348210089,0.5211773827756141,0.659022079700402,0.5531453306854177,0.4809293376764607,0.7293247881359275,0.6199128651646875,0.567277384610283,0.5993258481397249,0.5830195218737166,0.5833155587495015,0.5797539069899846,0.6247910567511444,0.6857216322268941,0.7410605040434793,0.6785840064163117,0.5565682612479887,0.5943487334489623,0.5566082421213202,0.5969820763922904,0.6383781204980603,0.7170802456170248,0.7581819602078702,0.8263511092211678,0.8334494694256124,0.757608395767736,0.6859209650529572,0.691416055141136,0.6372432404178741,0.5753315660011373,0.5939768034340942,0.5524984228725685,0.6275236783517807,0.6489260704942202,0.6494581803107907,0.7997200891506391,1.2546594544602256,1.107133134105606,0.7248286776453902,0.6622280109551764,0.7261905503532642,0.8369794397592274,0.6563616725713957,0.7282479496502946,0.6259897424565417,1.1451116573608497,0.7440547066219672,0.7258768365440134,0.7897850453318338,0.959053905138803,0.9355636345548523,0.7947839920638037,0.8009389659364474,0.7473404699960937,0.7975903943118654,0.6890263042547079,0.6990226356441487,0.8417822432215285,0.7328469015678981,0.761535211021968,0.7388174490648118,0.9590981857937041,1.3654912753559993,0.9096635072419227,0.8372837584760153,0.8077231652258103,1.0199905738430515,0.7507707741257378,0.7975778592717098,0.7788482768772862,0.7777397577937817,0.8247571930513966,0.7857379289887144,1.025203251201825,0.7130073027515164,0.6204118048005672,0.6639268452975676,0.6755468869739731,0.8203873791989604,0.7003192724646182,0.8710660453216194,0.7873848779480325,0.8103873807860771,0.8625276638105832,0.8813025981231393,0.7976763217253665,0.9254103366754163,0.8868753761799069,0.8270127129740736,0.7840056420264194,0.9872175394686646,0.8030559187578966,0.8390308929612565,0.7689355918484483,0.772452677640134,0.8739996213334298,0.8087525543123494,1.0724593766231516,0.8906434716223112,0.8742150933394752,0.9893505659599813,0.7550313362586136,0.5603918516217558,0.4549427417398508,0.4323344749513487,0.4422311408997075,0.408607629110954,0.4711064725007382,0.42841396341606763,0.5829045222498683,0.6553751542588926,0.5648899535628141,0.4816634835600615,0.3884542240502956,0.36038405884970415,0.38679896530482566,0.4255238064392427,0.5491658047916953,0.557433351286506,0.6011237390610226,0.6856990625078326,0.651692905860504,0.7923293948349553,0.6616779138118415,0.7898630881518226,0.5830286939522306,0.521411652132692,0.626291798756058,0.442826801843145,0.4790935021669141,0.41922647382137546,0.41457784214671456,0.4588543808130204,0.4934205083412399,0.43864016632624436,0.47829510628184013,0.5267351791261796,0.46010563492966305,0.5237394517475061,0.5304469222317518,0.5257417313002057,0.6701579504137936,0.6692456416510194,1.0110777856731723,1.503218494315933,1.0276048901534764,0.8307296040936597,0.7069941651164849,0.7302265463469075,0.6763939795119478,0.6334090532541421,0.5495829495369848,0.5663613147902852,0.46204775295328315,0.5168693613458616,0.5047797257892872,0.5300374196988565,0.4966215075100838,0.5023040754305272,0.5742625686191584,0.5252547255889872,0.4978437909760005,0.4565260294625791,0.5218222780173098,0.5881236121888064,0.577885243485062,0.6891160021140019,0.6469607686309544,0.9509593071904837,0.6828846691995983,0.7268501639363245,0.6026765000455537,0.660181052158594,0.6815047613947941,0.6771341770268243,0.6125918966265841,0.6316326324404262,0.6076405437365205,0.7433617744438145,0.812514927193048,0.612781622772185,0.6608308572068501,0.6328622966910461,0.6492069812436527,0.6394592064821003,0.6771000760467558,0.7005614195326683,0.7009185997621569,0.7676963384545242,0.7492122011197013,0.7934477425958598,0.9762891600057306,1.0357698128693793,0.8435237469406166,0.9183435060622509,1.1490595909108197,1.0615231508412726,0.8571429365076833,1.0653247097672942,1.2860193885971343,1.0637270334176103,1.1103623181406237,1.3029812478629392,1.2954176603032541,1.2399256767499487,1.2807663779402096,1.1825884796644264,1.428730014258637,1.1089926826948826,1.179982882400999,1.3269938576077398,1.3369128587377623,1.5294300901928075,1.5399760848710475,2.0514007836447368,1.7943102988212258,1.5087776481837734,1.3697072763048534,1.5205256596266719,1.1821397201405095,1.2620923170516076,1.344360218820834,1.33277545966322,1.4356125578845058,1.1649587529479448,1.1842221271085578,1.094681382192857,1.0335195761402174,0.9502270047289086,0.9004954419190292,1.0148520375737444,1.181789361345679,1.320515230646672,1.3782409367571977,1.6119112825421533,1.4820196636856566,1.2898804864087794,1.4421552527602686,1.64579206006433,1.3554812022614096,1.397825594687737,1.5705523988353505,1.576547833763665,1.4233141106097367,1.576836259417087,1.6842900560504979,1.5915326779880012,1.5619968119710896,1.6414226661111198,1.513671156695313,1.5217690586318768,1.471130300876806,1.484332444278603,1.4500995645142571,1.3151563580679302,1.4286301661982583,1.3540876905939911,1.33518310528045,1.1508251931304383,1.2704880676041819,1.2905820673995896,1.074866333711342,1.0359116800164705,1.2312707322362182,1.1348417449422106,0.9802711403505167,0.9318088771607794,0.9989821442632617,0.9831570791331989,1.257573345215438,0.9285966045814965,0.9004255005398127,0.8604062600181529,0.9467812650913711,0.83929437811295,0.8327142258623709,0.9468628994412324,0.8396003523703696,0.5955653200620221,0.6912410659652092,0.5617136260625558,0.601272255729462,1.1435458914676722,1.759876473276715,1.616475616989664,0.9643513114629518,1.6140203666427584,1.975535547387188,0.9068624057466427,0.9005159963288132,1.9648104448329926,2.2374095279689157,3.331620871035523,5.089086854732391,4.964174437582135],[0.5235643988333524,0.34111164610733263,0.525548835230503,0.37810884596958727,0.4198255564281656,0.4660343958543186,0.27874550291901146,0.4242516877791189,0.3389397321948383,0.39338272209070735,0.526552781158867,0.624086737364153,0.5131776430736543,0.51638226751002,0.7478397523250214,0.6357397460714188,0.6182307741859402,0.6539907991485966,0.6443076174000596,0.6263538523462218,0.6382546677970067,0.6302916904678689,0.7201303418940711,0.8165949609836659,0.7059792389145928,0.6274318643169983,0.6717109374484852,0.6195758190158711,0.6143888908945312,0.6305597008334959,0.707897424314367,0.6820444604112909,0.7402195635684412,0.7818073136784105,0.6950012178529855,0.6751461025791586,0.6371196585629131,0.6307621234686699,0.562660615995998,0.5293013910483346,0.5464262974900443,0.6379327161760892,0.6420353567005526,0.6305036981069296,0.8722062424678317,1.3607671637060916,1.2199628637081124,0.7401231725671761,0.7116850794973301,0.77141531255801,0.767902153150848,0.616842965196635,0.6676056868125454,0.575882677529958,1.0269578907961279,0.6956200512214681,0.7331913196595892,0.73925507374969,0.8920884258112017,0.8981283062871901,0.768486092899657,0.7885836328128619,0.7403212999314673,0.8282789808590036,0.7172901141538885,0.7115678698641581,0.890638231191557,0.7477530625809102,0.8194312356595783,0.7704702970580763,1.0224300351499525,1.4031967433015222,0.9202775578495079,0.8809529047239029,0.8101208129216405,0.9757627427605121,0.7353868092525583,0.7490259139559198,0.7414735481170615,0.7289812591568804,0.7629450368116188,0.7005808959323124,0.9055019737916288,0.5712048006728632,0.5395738122812067,0.5822688747498289,0.6262611650133967,0.7048626232518994,0.6797010141430975,0.795916914874371,0.7619577338289185,0.7881279541687658,0.8115412185111847,0.8263285793848432,0.778742575363261,0.8782895802823012,0.8889546400792738,0.7658830592519255,0.6925815952207839,0.8298137044885641,0.6426786747507781,0.6767086526173666,0.6022126350910284,0.5578072152375124,0.694356655289794,0.5643345993831111,0.8227481396045218,0.5723488561580969,0.5873779483878316,0.7708564726477094,0.4857309141308363,0.32901678330412804,0.31716237433874256,0.36874455056850075,0.4714078843100141,0.44867452000865315,0.5473489923079268,0.51511412299656,0.7182947324593698,0.741026804833556,0.669449446672501,0.569139450186562,0.46037671841963385,0.4032185210776595,0.36304357770477247,0.3648263388942425,0.3866002120214853,0.3603426341912365,0.3544666401784732,0.4487451949789908,0.38277302693332627,0.49949977475087437,0.37009485799924463,0.5778917444238463,0.3633026641614788,0.35681929478084845,0.5194513849380524,0.3833485643057902,0.5164693551627271,0.448741356782851,0.47480637864661007,0.5269745387974322,0.5554803417160779,0.48794435908121514,0.5092988080063723,0.5310129991626967,0.47323001703537565,0.49196163640994184,0.40929324097787534,0.40200137982058953,0.4806063180192866,0.5039627513617494,0.8242242800014794,1.561960303051669,0.9947759087489212,0.6636958245565057,0.5569435482499526,0.5266308459516261,0.5062409097268763,0.49666799856841426,0.3928060976817678,0.48904040565504187,0.42567534000965984,0.45852641751327444,0.46561043888844206,0.5291289562922805,0.37103115614106824,0.39256297928223055,0.43414416676190176,0.4444811672932293,0.35875071015758025,0.34822389576395746,0.3896182656279923,0.44585468919212584,0.44647460547505924,0.5370838422041952,0.5656424775388047,0.8005973752466429,0.534482201604926,0.5760989665936429,0.46000712204583794,0.4443610930603994,0.4319940010129852,0.44667417044179863,0.44780143157757335,0.5140944898236467,0.5494571852406346,0.6934838901198964,0.8505994834061201,0.5574714139476236,0.5768058811542627,0.5897382960565796,0.48528362193068475,0.4269665296057078,0.40571584146941236,0.4666676552506241,0.4784330185363855,0.46910035699741737,0.4496992163459639,0.5229752901664977,0.6704797453602537,0.7631453880498023,0.5830892413496398,0.6484062956656517,0.8724729804645123,0.8324644717973166,0.6422110349392853,0.806190249077089,1.0292949872862411,0.8576844362752445,0.9054149780769929,1.0799562541665058,1.1288665426125473,1.0554659829016941,1.088159351466592,1.0009585299436812,1.2284684788988522,0.8789783919555495,0.9317155370937096,1.060891271883474,1.0355448071043551,1.3795093400251648,1.2247107447557735,1.8116437530912697,1.5625214230544107,1.2384872170560635,1.1359924796610985,1.2966316401462483,0.8639642911828878,0.9009889653269301,1.0289643940145092,1.002613042045114,1.0952930814171251,0.8186506926513034,0.9075187262476324,0.732316193008307,0.7526953539131285,0.7865389524398603,0.6098513733520003,0.7328852203384886,0.9067375551672054,1.026662067366876,1.1405451644770663,1.373932234580757,1.2726111201437582,1.0475719600806688,1.175510979627734,1.4259151318367136,1.14599554442702,1.1344406115988037,1.3308541387543806,1.3551579167212082,1.173123760681424,1.3147380027644617,1.4632807094730202,1.409658757800676,1.329055027994983,1.400444545460385,1.2476367820590941,1.2405018104557899,1.178236261115753,1.1921492514753296,1.151323572334208,1.0271615871979678,1.1224344005061972,1.036800033941612,1.04030130004782,0.8434820830194477,0.9210812008470745,0.9997019080670263,0.81125422980518,0.7471065229696294,0.9097781256152232,0.8670915232203915,0.7598902551177786,0.7090675219904271,0.8126847082867982,0.8887761024415852,1.083508514101762,0.7777102175125817,0.695969825798166,0.6870919727735991,0.8188266492905966,0.6791760925424432,0.6671628085379931,0.7623650603567729,0.6050682576321568,0.42877333532484513,0.42605992127665404,0.3588958348460253,0.40698105497871306,0.9085229958328958,1.54553096778091,1.4662038417113303,0.8401378027906902,1.438401211602046,1.9665882389253564,0.9869241015812642,0.9051871033681225,1.9571107756214117,2.3501037206068442,3.8332411414904284,5.3516040065788175,5.139034731854479],[0.5546637298392515,0.3904836002367183,0.558657396669675,0.3585075190817374,0.4153928726816356,0.5057251546011273,0.30770549260351066,0.4583352562937472,0.3093004247242736,0.3387401961236912,0.4692290785974181,0.5902886824668337,0.4751729091201795,0.43476706529002196,0.685472946239177,0.5763158006351567,0.543489549072366,0.5696701429213185,0.5549202971524585,0.5524154358590988,0.5650865919615297,0.6033766401837326,0.6346856069655702,0.7162587036765403,0.651136354101403,0.566688344206927,0.608784954926993,0.568129494652895,0.5696886695487934,0.5918270160242308,0.6410283384738021,0.6429199930131437,0.6809566019670968,0.7098820029300025,0.6493153016777796,0.6238874251789245,0.6135607824844315,0.5988136037144741,0.5322903356158777,0.5062230626730059,0.513656752096416,0.5768809953336471,0.5950714219285039,0.5854851133011901,0.7840729961109207,1.266568938496792,1.10627590132923,0.6911187261324443,0.6608487362979018,0.730254604426601,0.7587974986380155,0.5836699733358536,0.6384307104243933,0.5329967187598782,1.0337713850463115,0.6455681983251415,0.6848966952855415,0.6886883509438989,0.8500629029684723,0.8704270111720149,0.7423233423020871,0.7373585772861109,0.6749542911835695,0.7282414723058023,0.646201733716466,0.6644172646944102,0.8139489047049758,0.6752246855452089,0.7271086394865869,0.6924954050454092,0.9240912441634268,1.3251170150219551,0.8647353765173368,0.7979482998092856,0.7280521245204952,0.9516338174560537,0.6591543286975633,0.6803132507052205,0.6905663319747409,0.6792762682346228,0.7274714824622818,0.6892809128275816,0.9212753480090247,0.5740427704272585,0.5232994217956637,0.5679553499864655,0.6059440635567036,0.7154913323802372,0.632370352590007,0.7692030776627804,0.6791256827275168,0.7061230376647255,0.714755027953124,0.7381333020623686,0.6927498517525822,0.7763483968409748,0.8199537977586798,0.7142890397180787,0.6672179444815413,0.8076842234097831,0.6339268865161907,0.6793202771730591,0.6084998069785306,0.5785569001039409,0.711276766630118,0.5855229707828143,0.829795475044122,0.6010727115383293,0.6062670888728795,0.7793781228969549,0.5058551003944547,0.3723426743759493,0.33752457368484656,0.36869322398265675,0.43186009328016567,0.40925456129343896,0.4854463043636292,0.4409028456696268,0.5787918322642316,0.6681355223316469,0.5455324044097081,0.4756079435096582,0.3716913037531264,0.36308332298885293,0.35689953871214003,0.36422752038881895,0.43104023602626057,0.4054996080289688,0.39840119178263733,0.49150892202562835,0.43448440540857436,0.533155074626567,0.4290389044443818,0.6176902052647267,0.4162438601396517,0.4023139221760585,0.5564476519820991,0.4000323481436999,0.4978650606534115,0.4187720104695698,0.39644920623154517,0.46919285586497655,0.49946272951610676,0.42053243332975876,0.4596556808773822,0.4971360511452823,0.4381524444369721,0.4831112222183345,0.4236027323256124,0.40928622851902885,0.5089249303361743,0.5202731045470914,0.8380729444298614,1.5700132467262717,1.0001334014506906,0.6549206639142269,0.5669833950331217,0.5532548663999407,0.5275614675976822,0.5193402308150296,0.41813029758173514,0.4840634651265354,0.4078492547110802,0.4426255387686709,0.45473262000336445,0.5194066156797231,0.4078896386480901,0.4124226167462636,0.45582278984345925,0.4617734341849303,0.3935004951980156,0.36327992927318403,0.4020115030868992,0.4648880570689479,0.4539726597774657,0.544897098718493,0.5535432117734662,0.8033884029461211,0.5468991675471586,0.5928356609635088,0.4782363766791058,0.48286769368245347,0.48062056880469134,0.4904629393201455,0.4800212379011862,0.5176855407718056,0.5286840748068753,0.67418812614777,0.8095927483765657,0.5548974608060433,0.5840959025604724,0.6016476788077031,0.5191912559696698,0.46354509717033243,0.466013735165292,0.5247614832188007,0.5297158235593386,0.5164159900147408,0.4780196638098202,0.5353330138015067,0.6697751433860741,0.760055361888592,0.5888067992976502,0.6382875348876716,0.8482060808484182,0.8116586792610788,0.6231525322133438,0.7589240219293211,0.9744361265872888,0.8105616885298452,0.8416622719697914,1.0091950230540607,1.074094069622664,0.9887894543213563,1.0100585164406248,0.9243740336963693,1.1580554872070001,0.8177267010949618,0.8818578993275367,0.9917449158884141,0.9683954735088878,1.4041128619218932,1.1159376190049157,1.744393463048519,1.5214832610183162,1.209126920099371,1.128991787375616,1.2919718694064153,0.8580121358044662,0.8762917733730387,1.0073854797007418,0.9892267192016381,1.064635136251679,0.8019287001129725,0.9232994545767255,0.699071759546542,0.7507312547627466,0.8145651927954821,0.6146473051931367,0.7542330517261944,0.9161819232569599,1.013094919028664,1.1345713234702386,1.3425499759209494,1.26422595140669,1.0372640764379484,1.1380005694804296,1.3865105814384684,1.1354616378552669,1.0952324426694113,1.2671864857487587,1.289355614383465,1.102975909182521,1.2267375339505653,1.3768459566119027,1.3550758913279355,1.2363391910090875,1.2936892088408865,1.1587606537063506,1.1587098572043781,1.1108106210522608,1.1322163104025376,1.0736214840849532,0.9620914915423163,1.0642039239152639,0.9663224830651723,0.9720265451817449,0.7962985306301019,0.8599330762266948,0.925963382683949,0.7603255092372072,0.7086101495667293,0.8654226706167724,0.8293033536067579,0.7112651599872124,0.6831419790983351,0.7952208680052607,0.8987575660267966,0.9861891143282563,0.7291534046267389,0.6580552108723314,0.6663451455606711,0.8068200882839955,0.6594262079429352,0.6448732948938912,0.7456213575001006,0.6104430450776145,0.4481788806512488,0.4475356093782324,0.38527774813412435,0.4528519569258092,0.8853053551084589,1.5123291442164755,1.4603148573199884,0.8072150701825358,1.3787117385662901,1.9647042689040157,0.966827323271748,0.8535493346220988,1.8387996696633826,2.388806038286102,4.0125175816053416,5.423850376259099,5.187719752755911],[0.53885657351893,0.3965589628069161,0.5022915535816698,0.36129147532324646,0.4172259084145882,0.4716218755155322,0.27672372537779105,0.395024427583163,0.26196153598675787,0.2754886330574294,0.3933997260951594,0.5525028733783277,0.3905501454657849,0.352978009728515,0.587103876445416,0.49347244661509626,0.47680501386168495,0.49843884781009984,0.4753125684120903,0.4801125065318902,0.48894894538656364,0.5330634396960358,0.5736731947400117,0.6863309213124419,0.6134115392087295,0.5221907423617179,0.5425742138760141,0.5024318892367724,0.4962526069080348,0.5135324053656493,0.5567339359987139,0.563776824858903,0.5966602464768991,0.6358348063239772,0.557297966658876,0.5324965613766687,0.5331817693900754,0.5102646397026444,0.4650941393456315,0.4321779139823167,0.4561091397941716,0.5255279776859118,0.5276888192142986,0.5567675799735129,0.7858663439446635,1.2760426775930085,1.1329103023910618,0.6688895885278462,0.6217134313766081,0.6932195373225853,0.7093880498055675,0.535692126098201,0.5515181907707704,0.4615479784184646,0.9268443579570326,0.5540496949382636,0.6326106423960921,0.6000547981008685,0.7643419167634216,0.8456381306792047,0.6965311779064568,0.6739877180895432,0.5916623041663847,0.6365156513097877,0.5500899033221859,0.5713212605234465,0.7620414465170264,0.6066339770675272,0.6650365685293635,0.6258820506827292,0.8727205916130913,1.2290114067428999,0.7971268327676705,0.7347724028163586,0.6479208997381637,0.9476626099323471,0.571737441625402,0.5910079674984813,0.5928434148498797,0.582670845308328,0.6440142885791145,0.6025002065805803,0.8375759997064796,0.4810156326738086,0.455026392106226,0.48108815453341747,0.5188895569151462,0.6374269265294789,0.5331657262893366,0.6865870153865693,0.5942632953436381,0.6693138263190582,0.6302556380745463,0.639922582970845,0.6067859842494243,0.6793057950001907,0.7168464321369123,0.6270560714495962,0.5875428582372826,0.7214871338541007,0.5544404856079487,0.6461916329466086,0.528561815623153,0.49675806519615884,0.6445237545348865,0.5279559142670626,0.704777871567855,0.48093546973867723,0.5201734385372512,0.714438392574265,0.4428246715018609,0.30226749205823833,0.29373135045314386,0.3344149988275362,0.376148562154963,0.36465523574338027,0.4395623402186732,0.39452673264005017,0.5076602640434384,0.5938488408416923,0.4721860061933137,0.41021275625883596,0.3354955324070368,0.33016061501663974,0.3311198629928664,0.3508422048313444,0.382924899482754,0.3642088638517202,0.338094228979503,0.41755484546074234,0.3553067612859804,0.42824605677500843,0.3500436779130191,0.5110288843451516,0.36934499071086463,0.36335803206694756,0.5072297109651221,0.3801027402197808,0.48969511410456085,0.4014328858445638,0.3971262855830233,0.452243740509926,0.4635233465157019,0.39333994609437145,0.41075115765252457,0.4345472315507762,0.3913980106692819,0.42299561528464774,0.36367424487625855,0.3581532967176578,0.4574916638869229,0.4951456118867319,0.7480127553189748,1.5068809930289158,1.0532812402755918,0.5989440167212334,0.505591086060869,0.47222290220053215,0.4582628071688202,0.44212710336117395,0.36952654279688774,0.42016369200144155,0.36823601223199126,0.39058531092102966,0.4218013483463009,0.5292859691580692,0.37202209282386334,0.394272124382946,0.43186224509375176,0.44639228139118137,0.3649165468968615,0.34936948428510955,0.36472099473462377,0.41005444081882997,0.38538748072433565,0.47813249498845917,0.4871832112949568,0.7389940097788403,0.4622861364296047,0.4932432384947452,0.40736008007356445,0.40842677778190006,0.3890883303034969,0.40238724983465085,0.40612535143820827,0.44738694756337694,0.4759259486434829,0.6228990158308694,0.785720560995024,0.5236371274397003,0.5800667361820048,0.5773284497542003,0.5009790940830318,0.43486489406771456,0.4061676209417933,0.4449376638935099,0.4493435358648371,0.3998927317012286,0.37538471473614166,0.4323250907003274,0.5100093169553245,0.6102653311575889,0.45924778704265046,0.4937750317608645,0.6814517700437466,0.6748156137123766,0.5471333116314038,0.6003833668174307,0.7899791098731636,0.6766359457054181,0.7046831392548166,0.826683157694342,0.9278080697244775,0.8607603511854484,0.8434619402978036,0.7787165242910872,0.9846157614898106,0.6631070748842248,0.7082467804806343,0.7884399787693044,0.7628366181448375,1.3078016024191128,0.9153259821093566,1.5518592947477752,1.3627579093117481,1.0551544686745995,1.021756209716862,1.1821175800836126,0.6738028408454232,0.6439961605211884,0.824656162950335,0.7965101842286972,0.852533144131911,0.6183023001668031,0.8358850249891535,0.5436087532125036,0.6106965030894194,0.8010796761036671,0.4708389093958963,0.6187721481853374,0.7934294341650973,0.8554049111770439,0.9888520160224131,1.1657940436007073,1.1372154270975618,0.8897676635956304,0.9491266182035492,1.2221670736376027,0.984678382432728,0.9340596896478713,1.0816297877371859,1.1106161890286899,0.9400323202162744,1.0220692696947022,1.1532813737642689,1.1891635824296818,1.0415923464377723,1.0767442268489607,0.9444116420949088,0.9411392532207286,0.9116673377390597,0.9352024822094316,0.8497434083940519,0.766694373768355,0.84351145015753,0.7527035597899457,0.771049223122227,0.6102477703736562,0.6436320171787057,0.7320885771307777,0.5989750553311447,0.5414312758258633,0.6947759365524955,0.7025007964593869,0.6502076953277123,0.5985349983303115,0.7198033073424631,0.932951383317595,0.8562262533851815,0.6661947245216292,0.573581264034512,0.5855100838991191,0.7887786376289813,0.6196918766423751,0.6112434309286467,0.7179349207945565,0.5264984329364151,0.42751482652155676,0.36777018654146665,0.344248135376957,0.40666017195442294,0.7825978925739514,1.3609252962141232,1.4190423257034017,0.787285206587141,1.2134274177474709,1.8764907754469524,1.1455109889003492,0.8200451663750987,1.7420398479736956,2.279498325046268,4.039648707628809,5.219975753378148,4.815170421036152],[0.5642848743927701,0.4014988991276973,0.5020456151674219,0.3584976285104623,0.4053708853269534,0.4420093241132323,0.20949133728211072,0.47438789344031795,0.302745926884815,0.29096028864961454,0.37893057334313457,0.5457825039224824,0.39684378809536214,0.34121541337026734,0.524624066203828,0.4675072200667533,0.44528234143202483,0.4662110591271349,0.4342298832614569,0.46177430633639727,0.47291554098571426,0.531524591276684,0.5026500822482534,0.6172794280728797,0.5846551357627867,0.5137301619840823,0.48287808385189435,0.47300382905400334,0.4751677664475405,0.5161501709713612,0.5265845100518041,0.5546327993068757,0.5744506546952729,0.5984547273324075,0.5513374948587466,0.513878285779432,0.5369368050407197,0.5099120985170249,0.47582306606430164,0.46401974366433435,0.4713824736690094,0.49886600454206076,0.5307565035853059,0.544950718488353,0.7748362865571106,1.2555359845881788,1.0962824509094349,0.6712965781100863,0.6235500457080835,0.7104968942338294,0.7663666074462685,0.5381105947968334,0.5964163577831304,0.5186901676235338,0.9998259543839035,0.5774839572341801,0.6327186633280013,0.6130617455839726,0.8047791816612753,0.8491618986660339,0.6991208307754039,0.6687581770658484,0.5653784243100715,0.5953728431909603,0.525912145759136,0.558349195272065,0.689098662074635,0.5536449243695173,0.5872548842592161,0.5889237856946004,0.8055693989430138,1.1342406798035551,0.7523913828470865,0.6660568763650618,0.6125632943698518,0.9123964680725885,0.534298848472941,0.5480171674051828,0.5766740204805164,0.557651751240689,0.6238665946236808,0.6431544952617807,0.878015044107738,0.5307674980711496,0.5061235347934067,0.5193836621643336,0.5373177357280203,0.6534700830043157,0.5254083541761757,0.688834425984791,0.5481001153546892,0.6231259757922576,0.5732883101452625,0.5851930800871418,0.5542174137697881,0.6114038367295775,0.6679968769772138,0.5913395849583459,0.5700439200446524,0.6868396478664065,0.5507124853584872,0.6896305579822908,0.5480353637888402,0.576304534589457,0.7225420483794895,0.6064664833849659,0.786456891545312,0.5476087038266445,0.5589455871370622,0.7698578811431522,0.4861803358375585,0.36766343234945736,0.33592296117351983,0.36473457513880836,0.3831945307712341,0.35804144650458425,0.43495849195690334,0.3607093788018238,0.40840208651133547,0.5233570862675465,0.37795283370494975,0.34091963894769306,0.32033461572156197,0.30241696814857394,0.31388261868605755,0.35349764498865505,0.377016525308606,0.38586353982008853,0.3717767331715981,0.4590695246417768,0.38792245591969854,0.4733782777373901,0.39268135846619157,0.5747118315840827,0.39126045122181513,0.38727442038756144,0.520560094650665,0.4003654146585309,0.5002931928660851,0.4126617384086612,0.36410647626998555,0.4314431445792416,0.4504606245833774,0.3905443181027458,0.4008123998400394,0.42054578880157156,0.3932313493863224,0.41052550759034184,0.4054445904473518,0.41800658187328515,0.5252788626304131,0.5331246471519353,0.7832526255192468,1.2992440075641902,0.8701819334764974,0.5855550928434542,0.5248541079913219,0.5445712704286532,0.5051540339816731,0.5260434542053535,0.3873505776447384,0.4279125719160715,0.38812797011738154,0.40084310258959444,0.4356594708416298,0.5435691224797914,0.3942280342185847,0.4256287591863079,0.47704354157016127,0.47398385012513233,0.39042093603098876,0.3755600643414745,0.38998325908950443,0.42988570418420646,0.42701920460974535,0.5311513629354071,0.5410491874828753,0.8064086379577564,0.5088320031065479,0.5515979205879854,0.459305200311965,0.48012472715674,0.4589020244023089,0.45933477972370296,0.449414174445061,0.4977931279393203,0.5306362325415559,0.6500427386293405,0.8006338409153676,0.5462270153350653,0.5700690427054684,0.5320164896831284,0.49926651107700576,0.45210091582070455,0.43515511869529266,0.46801841052993326,0.4955579970919007,0.4547596530104402,0.42030367509866484,0.4599554902377445,0.54099944961961,0.6192771920794218,0.4865330830148097,0.5180492197527506,0.6770374898217478,0.669500895355327,0.5550659425901865,0.5975817808960965,0.7451818655129168,0.6544900131339623,0.6792780301793907,0.7798038972718765,0.8758236251772236,0.8172969519592601,0.7902278600720575,0.7446386841513069,0.9512110724476049,0.6521789892981329,0.693572057616109,0.7526911398989882,0.7294801609719164,1.2978288326009029,0.8658791943180068,1.501326113986985,1.3201565024191797,0.9822072348821371,0.9577706284088162,1.102979422319101,0.6286030948134025,0.6520379292992129,0.8376884274352414,0.8161888373010892,0.9116110419528286,0.6835754258591878,0.8823153828405713,0.6006087864501067,0.6395754565413578,0.7710592177914093,0.5096860683653907,0.6481492545705007,0.7752220683539827,0.84458017125942,0.9469168770463805,1.1046112674184112,1.0560477417672733,0.8503915024800411,0.8741301658812973,1.1076871120366145,0.9335905440075479,0.8783115001151203,0.9851591045238806,1.0148433980660918,0.8690552417416256,0.9225140320969086,1.028846486708288,1.0941772282347841,0.9516658913195236,0.9683621572786822,0.8628926870674889,0.8579716363891045,0.8492621322893795,0.8744763007368265,0.7928980914207936,0.7370761428995083,0.8295027751282111,0.7296620179933169,0.7523856414704657,0.6165104749275301,0.6430046108857402,0.731806838560262,0.6112887857920192,0.5708543410848297,0.7160305683357965,0.6997205330720436,0.6382351185733088,0.5981296595326532,0.6985098212665519,0.9209358522465562,0.8295748396819221,0.6483251701229414,0.5726766247632782,0.5931910517228125,0.7907309236226295,0.6199113150300859,0.604957749295274,0.7306692805836972,0.5475127171782499,0.436192515685847,0.4088386531180788,0.3591018960345053,0.42605928951573185,0.7951339713367481,1.3201275422022647,1.3458507382600713,0.7884682688601593,1.1756991409648196,1.7910625860562899,1.141484310821733,0.7588346705474169,1.599532469780524,2.0630308077568418,3.6904734285988012,4.30094044537986,3.7858976655116203],[0.6081484122608601,0.473858963208245,0.4653390861917421,0.33825202282160016,0.33800137183070067,0.30517775937757957,0.14084843153996673,0.3157272672453091,0.2692546684288634,0.2794660151853353,0.309454110916327,0.48367603129856257,0.3079216144078927,0.29958071696368344,0.4167735920200198,0.38579924343843397,0.3685770903805602,0.37756114793574236,0.37113971646910987,0.37821582584420843,0.3934727804666987,0.45447009695843504,0.45601660382503056,0.6030897156179645,0.5364780035228665,0.4503522301936211,0.38012786108459773,0.3622735886346238,0.37194414848370183,0.3717387504080219,0.394231994058264,0.41956024983903695,0.42958913745635163,0.4597078050682489,0.40625056425136197,0.36148999965615053,0.4056399358124881,0.37745836552942885,0.3581769284523238,0.3485584534187262,0.4075389899850924,0.4254694040230297,0.4168304208004591,0.5307290718686369,0.7809181387128419,1.2581127031586143,1.1463042470617089,0.6883880594769789,0.605658993752854,0.6986622605274952,0.7099446135133388,0.5138501955037583,0.47361826955247127,0.4170039859330121,0.9144427051624666,0.43337303679476874,0.5177365305855378,0.507590876363184,0.6773012400305776,0.8304896582913198,0.6174854374343459,0.5681708253671055,0.4426401379343137,0.4951845933538433,0.45379550070828595,0.4484651635305948,0.6216715917329497,0.4748129442201777,0.5322099239463697,0.4909709295344456,0.7307284425626119,1.0341475496333643,0.6616613992717463,0.6191489111613059,0.5135929015919128,0.9088875908627013,0.4354315872036239,0.41687629216270095,0.4397283011649549,0.42075702378875307,0.4923831583861794,0.502922266357908,0.7434597255710457,0.3938100092268972,0.38764111509826865,0.3726277208058675,0.3892748875258369,0.5763203937000729,0.37433082213253993,0.5680353086902564,0.40827602575009586,0.5748929588227266,0.446227950919394,0.4481720417310587,0.42320976323243376,0.4563662375608547,0.5063883313699542,0.44131977515524545,0.40699769873503616,0.5293706887558998,0.4075052243640771,0.6058955281008652,0.40099335915825896,0.4341031634212922,0.6034267298841595,0.5202759573753521,0.6615726384205296,0.4348430678302559,0.45601487363488974,0.7066235666344948,0.42596435764099017,0.2731939983904583,0.22440588793816085,0.272237535383585,0.3057157954033582,0.29418605667306874,0.36991816434129204,0.29099849800694916,0.34877875563003696,0.4475951064042345,0.3388572794162192,0.3086396996508856,0.2775507748491474,0.24530474717286632,0.24627335535482675,0.31064131209613094,0.2809059389397939,0.28691433774245156,0.2655040204814517,0.3691445939757936,0.28226620208419084,0.3789610113032701,0.2925182522736211,0.46096755098417835,0.300234167614783,0.29991341965772206,0.4797788301794002,0.319466517512019,0.42962942611405036,0.3265534141494689,0.3217389707043466,0.36523454425949464,0.40088180427013526,0.32057595939359573,0.3097150779148049,0.33020529138507576,0.30483208620971886,0.3304990887240887,0.2831983054765418,0.32299549926655746,0.40762531078275716,0.3994411802685501,0.623148977416354,1.209701865362797,0.8256326174116614,0.42673264239731823,0.36913490442183916,0.396727718691703,0.3472340342410148,0.3830630010483267,0.2947465598992401,0.3278957460787954,0.2980754288978299,0.29991973024589763,0.3584814682232847,0.46520490845998524,0.3279392373561353,0.3771054877062123,0.4212433852919736,0.42085709105873276,0.318644037654342,0.28953063326533063,0.3116807753193727,0.3358850036800597,0.2963871554089996,0.3849436741443741,0.4070240461981518,0.650142276084237,0.3698859051925168,0.4077687223701602,0.3548212100303259,0.36549787612021434,0.34714593268882765,0.3666200363660631,0.35440231328600164,0.40484081384016785,0.46280458033121447,0.5471371387317429,0.7731900923324105,0.49080003074181305,0.5478570917625996,0.49248970916227114,0.44533798300279726,0.3966161968158224,0.3564942067255681,0.37008791929302304,0.4092729039103809,0.3078327304100508,0.31954887747192834,0.38513656750483605,0.3891720787975646,0.476155739056109,0.3658254461800064,0.38233334049262874,0.5193290681819924,0.5451446088087415,0.48412091580408506,0.4732676097244985,0.6158077236114168,0.5522590688418884,0.5690442825284086,0.6337193878297039,0.7423536777379901,0.6660529654976105,0.6650884664998377,0.6594127513693886,0.8602239147765682,0.5693012610254379,0.5778055976304559,0.6137610825581765,0.5726522618054446,1.2113681846246218,0.7455449749255271,1.3344105895597587,1.2380751055830155,0.8839417632487198,0.8884331208680791,0.9968657500913409,0.521874801581655,0.4694215830435515,0.6824975980606525,0.6507444256620439,0.747900943788933,0.5214296760978644,0.757835820717415,0.5325618137958823,0.5970584876299295,0.8327139541772995,0.41885542260448666,0.5317402483781518,0.6649177445967284,0.7109382413576492,0.8478898814694853,0.9782500126735912,0.9754857045035169,0.7503771623032256,0.7379845067556127,0.9958946047277997,0.8286038330337951,0.7519955591853436,0.8597392022521084,0.9130000226705282,0.7381795169814097,0.7672215956347175,0.8910932743270297,0.9923609484332514,0.7934812224585288,0.7984259580984944,0.7032782482662617,0.6956995804925422,0.7011573718222295,0.7214178132572032,0.6212190162586071,0.576075413972401,0.6503214503037257,0.5609374242594319,0.5900258768857448,0.4761770312044938,0.48747302221712674,0.5776825704070465,0.5120902579325112,0.4712164104366636,0.5741777969772893,0.6133692613623265,0.5974699986235887,0.5807575868383945,0.743540533850788,1.0214578648420967,0.808000685100444,0.644125932627063,0.5271095820389392,0.5391192934077053,0.8038628785871706,0.5957747399413207,0.5921994327634446,0.673446010217874,0.47136334541043046,0.398523578240593,0.3066191568095728,0.2881335434171833,0.3664686562319055,0.6872680079456501,1.123550122791711,1.2702889719788717,0.8122481660488704,0.969471481922046,1.5531703267329453,1.3798063971873724,0.7195435688514159,1.380060034752892,1.7500127019900151,3.2564756974578537,3.840870132753934,3.4541069464333853],[0.5105164906474414,0.4785185829696935,0.4710349895567014,0.33760272695486615,0.29967006140600505,0.2585827771752729,0.14373989109807586,0.2309034878961581,0.31696681055450654,0.2681629695527035,0.27474907906219803,0.4291848831053087,0.2974307929950743,0.2932536003753672,0.36113848447469626,0.35226225321110866,0.35446636897304906,0.33937250988495427,0.3531124003007127,0.3316047286680622,0.36445086907327995,0.4298784585909999,0.47546806232943584,0.6196196535737976,0.5571971100844534,0.42678301318426726,0.3536567463549226,0.31191355038017005,0.3209530794754334,0.3076856129913572,0.3372333139455374,0.34505540848788785,0.341825211772765,0.3630804322533642,0.31668400351999143,0.310660136911526,0.34337291686799953,0.3211619574564771,0.3037492316425856,0.30254619034204305,0.38965285652382337,0.38917171060354977,0.348805377067149,0.5390678856854448,0.8139193348596555,1.2712130937648278,1.2310532346076852,0.7072704904110187,0.6206141603380714,0.7165345419081838,0.6760324495514116,0.5358535838598503,0.45842416384909396,0.4255855711947804,0.893468012448611,0.4174728891197136,0.4884276367001954,0.514189554354505,0.6387565713352203,0.905683616534785,0.593400495229635,0.48699548820199856,0.3741748202677844,0.48128578737806554,0.445448060880188,0.40873488875535985,0.6107097020235024,0.41983967190197746,0.5231052772155628,0.48566152767742743,0.6992847473332473,0.9652795275222246,0.6445294891436352,0.6679220844034546,0.4708119365478018,0.918661291068838,0.37177109069253084,0.3470683200315882,0.3551506299301137,0.3908670357952216,0.4268857748082184,0.40357323831164005,0.6701194051567043,0.328713614065158,0.3449916581635555,0.3179746625697944,0.3410352170854153,0.5317849403537375,0.3161385908626508,0.44300788615169423,0.35154899483265944,0.5712336604241851,0.4076071528171283,0.3826722237633186,0.36590006532798525,0.3974189091495511,0.44022487055414017,0.3568992691796323,0.3222054792324445,0.5041800398600819,0.35626672171571866,0.5170339372654913,0.33317815744589063,0.37989354637229605,0.5829290242291995,0.49317814759617506,0.6037443041485349,0.4407711342486035,0.4633754583069846,0.6887726563069645,0.44902155974220226,0.28234354530637706,0.24774958819696838,0.2766198756366587,0.2864152731335619,0.2564753562977052,0.31778225115092973,0.26108631476179855,0.35467865337002935,0.38725520330054913,0.3284475012587635,0.3005504816644492,0.25048102305260367,0.20374316031449674,0.21201085859753616,0.33378641384664787,0.2894767021500853,0.275440426815601,0.2888640082961408,0.3854470047863037,0.3205166980871867,0.4035015531063666,0.31413934257045517,0.4369484667752008,0.3066753515859648,0.2884376753495985,0.46734685141254323,0.30460292058819227,0.3979397435039917,0.30201626596363285,0.30686946952513977,0.3534257306390846,0.36676855993141055,0.2841843129116665,0.2833169449518203,0.29824409716267497,0.2747735883824814,0.31924686320029894,0.26466402856417165,0.30276802842516565,0.3875750453963035,0.3666631368960301,0.5492496097481409,1.1433897721103023,0.836585340129172,0.37493503046102516,0.31508726010746174,0.3429549369749328,0.28558742409152565,0.3348626072634963,0.2899930331043694,0.32310394679589877,0.2848783687543382,0.2953108266785167,0.35721779514894386,0.4427242136427246,0.3255290701581503,0.3869960582857953,0.42306433834531815,0.41136985777856877,0.3188050463117944,0.2753174255238409,0.31122085897175333,0.33139595509198294,0.26099041274842005,0.35159576922680874,0.35825626918857567,0.5369499389392941,0.30806690067187126,0.36940307846726844,0.32038759170260395,0.337531621641714,0.3343176980806205,0.3859217676308293,0.35594789326143095,0.3931941254613855,0.44397881850735055,0.4959581596685421,0.7721796050367054,0.515133568847388,0.5937727792183157,0.5211278009608282,0.45030738127133313,0.4225763760087965,0.3703424388262538,0.37965014174874373,0.41946984479398475,0.3414851278886935,0.3513035103840406,0.43036791728712287,0.3784628642581724,0.45661232181113726,0.3743335531803672,0.3844570549907028,0.48558391534886985,0.535874933382108,0.49812779652709804,0.4869928776929564,0.5686154995279409,0.5605375865124599,0.574506938364848,0.6090536182212842,0.7231284939937471,0.6725085436075828,0.6559430295277757,0.6654071855650207,0.8072641557538499,0.5761571027589049,0.5642904448730292,0.5853736572419082,0.5392166988024055,1.0977263411711227,0.6570043197740775,1.2128131644454163,1.2393600252647354,0.816775333709127,0.8315422583644542,0.9279106056200056,0.4600769461202998,0.41310479870375794,0.6498459558209132,0.6198834276792502,0.6882352124537577,0.5002774495487083,0.7863712744977954,0.5592069877090566,0.5936235335504424,0.8927598227481073,0.431268053110925,0.5245001409959841,0.6426511192567691,0.6755951938596664,0.8286987218149796,0.9058335767272165,0.959083421875979,0.725273969605188,0.6865008894584664,0.9418174639456662,0.8030603347182764,0.6814575545564064,0.7757661726278647,0.842643964863587,0.6740934254348548,0.6815163643105845,0.8033701962743731,0.9560254623945237,0.7309688683438302,0.7195606160218598,0.6372946353189144,0.6197429833875532,0.622025341789339,0.6687715184452834,0.5552425870833844,0.5457980240762194,0.5983729728196002,0.5291417301070503,0.5791953160673455,0.4788808848292868,0.464897947539233,0.5941940436555271,0.54315317354026,0.47253614262154053,0.5901858191036318,0.6598999675923661,0.6585554652672533,0.596318014574973,0.8074588342638231,1.1057760643401366,0.8273943896024087,0.68920317776761,0.5560456699561643,0.5427644135267132,0.8079967008607242,0.6141939457486694,0.6221115883520504,0.6862190794173478,0.43026971255199353,0.38229893916974356,0.33029473815665283,0.32972753484322365,0.3408015803578374,0.6509588968390646,0.9716583800609331,1.202751204314389,0.853414235004388,0.8237720265782218,1.380061377651709,1.4394949472225997,0.7198440090584304,1.2306549215089115,1.5635264891761718,2.993320133154485,3.5806776384981553,3.3399260797240613],[0.5106308010764797,0.4843063071425008,0.3740250564376317,0.27337934975280964,0.4264299627154186,0.20462064384901105,0.23083455825301133,0.2651613446066689,0.32787387358535697,0.270208285041612,0.28898705036136807,0.44573651635944406,0.30180481773075657,0.287764367317053,0.3580839888717146,0.3516043894782632,0.37548868799546614,0.34798415685496437,0.38996812588752827,0.3483967156289223,0.39321456446838005,0.4575671686668485,0.5326066119349527,0.7169126330226375,0.6098722585422969,0.48198485724761475,0.3774660628159033,0.3259594530389035,0.3535746971066628,0.3227919206099718,0.33493149640971637,0.3586965686978918,0.364032296063169,0.37330095402375973,0.32257889287784175,0.3223431442394615,0.342886534400076,0.33847737829122904,0.32319098777625244,0.34467879117380407,0.43742549057472463,0.42926067622213065,0.3957902757674083,0.6191525774571259,0.8938712744283184,1.2849435802644664,1.3050920825410668,0.7957569030697633,0.6838009457885642,0.8072535166092477,0.7570994827635842,0.6188305562191669,0.5377039329309209,0.4678043703761972,0.9017507011616214,0.44246651368909345,0.5043662675867735,0.550438597556426,0.6454205346888637,0.9673496276593057,0.6072094376880532,0.47247633959343244,0.3774416833157668,0.4866612182419074,0.461482420901382,0.4204366539801893,0.6105895653356883,0.3991553942664493,0.5470013864218101,0.4835557465330188,0.703393555794343,0.9586157356062697,0.6364928798362052,0.7032289295992517,0.4599605682329741,0.9346587036290591,0.36954637927148254,0.3398577010961579,0.34929862413845353,0.3907468936212623,0.4389046139888702,0.4067168315145181,0.6606959902318227,0.3335418716014188,0.35862843766145575,0.3368433833863973,0.3490832206954884,0.5329559905246136,0.32428087788670984,0.44280223337727737,0.35695389505517994,0.5604284834390039,0.412245869031799,0.3866480970678956,0.371429463725857,0.43231184544339923,0.47067509801675955,0.39632606528185654,0.3588190519995518,0.5510295359824843,0.36637437852011656,0.5564774400168031,0.3395721659796641,0.39007851859176484,0.6061802865920461,0.5377055589826677,0.6658291328815361,0.5176086758571604,0.5423538382062953,0.716535185385052,0.5794930897006898,0.3647024576181621,0.2756446054725322,0.3172963218045598,0.31711492034220456,0.32098706679410255,0.3615128203424586,0.3141351565979649,0.4225537729900544,0.3785207469960798,0.3466739346742116,0.3137466336534039,0.2943082887913438,0.2618816873376424,0.2821451469527195,0.4465070240841408,0.35566645535453284,0.3432639021604059,0.3817277629703727,0.4452050662203957,0.4000858004319249,0.48783936282775026,0.39742910753145144,0.4967605206334106,0.36420927264488373,0.34588743167034874,0.5446753780995354,0.3838793603937717,0.3563221374740912,0.32589833102222543,0.38556410618317777,0.4497974077922395,0.40873428495908787,0.3235000167575811,0.33647597757818143,0.33686270508162564,0.32899352258040626,0.3257497560487981,0.28096396149365005,0.3011112311076762,0.37743560584490304,0.375887308521457,0.577179079721582,1.2027484580109127,0.8201222220726735,0.40768946292266206,0.3330985495070938,0.3426374047350935,0.27901182983051104,0.3331219723726822,0.3009844883263663,0.32579214949481494,0.3684495224599126,0.3593204336597143,0.4253648323174397,0.5149917778114171,0.40934712400086526,0.4577981599134097,0.5183128765852012,0.48300428726154987,0.4152727636810462,0.3614362225538066,0.38144525578870514,0.37518196472619525,0.28601006084144975,0.34733992839760514,0.3492168986563571,0.5056106384405874,0.31956182926703336,0.38498090912114635,0.3825241749400243,0.3892270025560623,0.4193991670992402,0.4803351461243716,0.41380962460519727,0.45630098914604644,0.5178220082117699,0.5584166230485572,0.8377734791698527,0.6062583152301603,0.6868918115663849,0.5528287334690916,0.494503293282539,0.47789396033940545,0.43902385788072323,0.48341955559976313,0.47775911869012094,0.4056489946864614,0.42137017685587186,0.511023984734013,0.4388746423909671,0.49222901997747226,0.4431712910793162,0.4413700229219731,0.5225295342145732,0.5756837019712814,0.49000158090720297,0.5153841636267147,0.5979013948203383,0.6035590139929362,0.6073693222392529,0.6454229893722657,0.7744635977103321,0.699259099623295,0.6978041581324383,0.6726691057309848,0.8131585679066586,0.5777443528690241,0.5737967629720397,0.5952023912175035,0.5598719091807135,1.0233049916591455,0.6771927508319515,1.1842938936077299,1.2059277582454648,0.7540035548016307,0.7785015845534136,0.7891607712869175,0.5028232942947158,0.4492439247101272,0.6714972148491718,0.6479548479286442,0.7912764413471287,0.5738168454750987,0.7804929117136887,0.6947616532306738,0.6476106920623447,0.9014662698050622,0.4970480137178356,0.5740276536749063,0.6141297663774019,0.6460205293940781,0.7491098282764073,0.8641072427096764,0.8648421132689426,0.6904966924480396,0.6615152461747875,0.8738736718752533,0.7777996689321787,0.6573909611872317,0.7119366593320654,0.7873062879456355,0.6609288930871877,0.6682253313471829,0.7754010681627292,0.9422512119010358,0.7520873609396941,0.7469380198170564,0.6648244578415773,0.6262097246717788,0.6184721648386722,0.6552315550739051,0.5729499193502228,0.5705225401843665,0.6219461245437667,0.5636065884454533,0.6089894459634932,0.5138552533765912,0.4956180486511285,0.6672035120125515,0.5642960780095214,0.5358625054366697,0.5769328881469402,0.6471192419822623,0.6300069633420678,0.573198394105909,0.7743654127161588,1.0012319850207971,0.8561248278028458,0.6669337448158641,0.5280672737605702,0.4936099127873673,0.747167853742389,0.5679772832396397,0.6070993479991702,0.6867142647652377,0.46181475002353034,0.43755496381653447,0.3995966824625285,0.4095506583130959,0.3779436992362722,0.7146929699820377,0.9111922634702283,1.04303159951651,0.9093234389787811,0.7839257027076882,1.154881114064727,1.2711805237676925,0.737980894265984,1.1452293337819444,1.1269342950976364,2.216598083149866,2.503326447906608,2.3650122892022902],[0.5526574669692081,0.6388615063802773,0.5285759327780031,0.45862045205902313,0.4364709816555539,0.2773535939472311,0.23373132123413104,0.27312532761229624,0.4894671747132865,0.48296672129046414,0.5352853961634269,0.5875163585994048,0.44338079034959893,0.4905422383139286,0.5215843465576473,0.44409986114658745,0.4615874037517874,0.43341567105352813,0.4494794041702105,0.41383330064307255,0.5007674142180539,0.5563711327583993,0.5627211414189258,0.8478733426998067,0.6347919490940692,0.5356642645392974,0.4138128017667087,0.3389210206461513,0.35881275614216956,0.3532865382977522,0.4696596699135592,0.411511482369307,0.4329325947783823,0.4567293511167726,0.3737504713366167,0.38497981147626276,0.32197538421099364,0.35480033715536546,0.31282752393076213,0.33590356991456616,0.4738966264100698,0.4590438720875553,0.4360983460459271,0.6513808655817969,0.9878846870993422,1.3282468242686654,1.4460441772716623,0.8556783193946386,0.6979677118829846,0.8619090241786579,0.7568787860385553,0.6557137123824236,0.5684182311695263,0.5062666990293883,0.8724245572233758,0.47801669384246404,0.5639539122500219,0.6056479410322454,0.6086513398843485,1.0795969069462252,0.6181457521920178,0.5389079558748461,0.4931150081908448,0.5858065615749503,0.540861031774585,0.5199545523820485,0.7504381592109568,0.45866464779165955,0.6371965440217313,0.5748112412230799,0.7542167715844206,0.946042269584308,0.6900409315960544,0.8167697543903226,0.5935841288628532,0.926255373024889,0.4529061097503171,0.4704916827139325,0.4594497241342521,0.4742591560294799,0.39610045554236545,0.38146693115770136,0.6178222877214827,0.2943345303411016,0.3404201933276585,0.28520100159566825,0.360471492104106,0.5218825214920386,0.391759671162898,0.510454452555268,0.4924301402297405,0.658816304879453,0.6177388038871486,0.5514926253834426,0.5461955539145184,0.6486206647123463,0.6851124324726883,0.5559997324295517,0.5059786705103648,0.565525566662608,0.384650989746173,0.4929134548678544,0.3078839596632762,0.3792864168054778,0.6433074526566059,0.5313340494529228,0.6354440746266924,0.5927344463213733,0.6518512114761202,0.7571989010352662,0.6458220602763556,0.3762611450555004,0.2511786572183677,0.2884594933288816,0.38213695214259447,0.2924359697273161,0.35515965254718723,0.30162673131135903,0.4960113041098903,0.43791106138186553,0.45816534648931745,0.478536048779457,0.3986231337372398,0.3518569851841219,0.35445287881402415,0.3707388587676861,0.329413579914683,0.406771532015678,0.49571955810039137,0.546102722322994,0.5572305513749408,0.6120332955999946,0.5445873682234145,0.5302149500996068,0.47869917835786996,0.43799527038525027,0.6673857063513469,0.47106660908543474,0.2963696097075094,0.2757428069501186,0.31086225876307605,0.4834818516137649,0.40664901605714204,0.2754013480796315,0.33386626189056057,0.30806398357858705,0.28743261511534274,0.3209302014054851,0.2743299358199626,0.31237170054331376,0.3697281478307861,0.3909182341950245,0.5557272558699123,1.1912799957263642,0.9060020323157602,0.4112199774785816,0.36113841628563753,0.33237989326330847,0.3167384276611341,0.3059587319698222,0.3210712573311705,0.29077312685400597,0.2799416024747108,0.2931376015595019,0.3853494721176582,0.48872345124387007,0.4514827927883326,0.5570654919519492,0.6573133042462371,0.5608917501041382,0.5062671569397004,0.40123538062405645,0.3942007912045358,0.3750673520149623,0.27726638013849475,0.3400442795202595,0.36192369770327487,0.45244285345608737,0.2942962783297699,0.340005830090026,0.38986309655337437,0.4181054489045489,0.4618896482039785,0.517203292503684,0.432478907160902,0.4608457088413986,0.5197831419991759,0.5409894027491781,0.8376045048121534,0.6452354880170247,0.7404461951623712,0.5249663186481781,0.5631213662965265,0.6196690573697545,0.6218536384603565,0.718952169755959,0.6855415399979299,0.6161388843521581,0.6407575341364367,0.6933791694027917,0.6288950480463006,0.6449474075443679,0.6257070271157407,0.647780104314161,0.6873239755337903,0.7237679468629993,0.5855540765478269,0.6623165827008037,0.6755624019239233,0.6941389517362834,0.6976022516350694,0.7083721073851265,0.7941985927700708,0.7304525718849336,0.7567469450185982,0.7529150071451274,0.8801239157706534,0.7070204110813747,0.7081684251893697,0.6857872835839518,0.6827896106519175,0.9475412308074455,0.820456866866658,1.3161312718676275,1.3563710511023912,0.8833039489598511,0.9191475512865852,0.9425955538312437,0.6670895381404814,0.6202911516494074,0.8576168382885809,0.8594872942417836,0.9256051640721974,0.7464700952936062,0.8434240265308932,0.8046939263022566,0.8207904684326133,0.9334648007690123,0.6592095045664329,0.7981048124066626,0.8003763331748807,0.8093722863926048,0.8993420921932134,0.8936526299570547,0.9447666851525572,0.8231760239102015,0.7754588972116415,0.9107320522803181,0.8534954938505325,0.7719639550291358,0.782399106778547,0.8420305163882668,0.7280168186905155,0.7085695397153025,0.7800790364574959,0.9829351018474862,0.7683210534045183,0.7693703432914406,0.7165504550070062,0.6974243309868073,0.7074932695984992,0.772224059510028,0.6747866424126826,0.6880319759184564,0.7040188687743355,0.7000120054677874,0.7503863892434808,0.7032589819457044,0.6604455611386233,0.8686990520221984,0.7582236785825363,0.7345597694628621,0.7671301242230792,0.8699563880732458,0.8077659993638023,0.772907462545013,1.0771795746863133,1.2381058800599651,0.9356681892284672,0.8001713535328461,0.6946774222397604,0.6584355402033639,0.8431160246536104,0.7002394689685412,0.7491031420403494,0.7586038252633909,0.6193844047662874,0.6303627825771049,0.5993752962716553,0.5755369062102168,0.5201984417343065,0.7883853375349003,0.9066844359889105,1.0203863007835547,1.005873733678029,0.7819817016036994,1.14838720151191,1.3310942907691143,0.7380186893042406,1.1480857482284097,1.1520382880845312,2.215509616389374,2.5335652627704603,2.5037300049021187],[0.5069668616171422,0.53066196453771,0.3820573906159515,0.30644964214269776,0.40053446103296364,0.3270219539292276,0.2643191360345411,0.2984470332378662,0.42216734193804284,0.3495949354503301,0.377215820438456,0.5072502868027546,0.3621534784919477,0.3695533379062183,0.4343446330748194,0.3850290794097246,0.4071213894327054,0.4029796514459403,0.4700738350445541,0.41251565205660384,0.49457132006365273,0.556963972787716,0.5646219688125491,0.9009497584365467,0.6297407656460375,0.5736368370403662,0.4242705764145507,0.3676896939897525,0.37789621480269286,0.3712209070160454,0.4178774004107753,0.4000686202906222,0.4322816732129995,0.4573513921711743,0.38469557790220693,0.40449479712112896,0.38040953925212206,0.37961321900496336,0.3404437492608451,0.3596475143605866,0.4747655817661995,0.4872392261780553,0.46020513853536293,0.6868547917348756,1.0181626203333964,1.338451325547012,1.4629917403447483,0.8816517360565035,0.7091282539629009,0.8724533171154465,0.7563678964200808,0.6534574449813657,0.5716270523978936,0.4977527106966822,0.880072324118192,0.4553016140907441,0.5120739083656457,0.6364823362369784,0.6366862859128676,1.0498689203892833,0.5894492196424572,0.513956732150529,0.45625471010288216,0.5528515988289889,0.5067935202096768,0.46732505706510175,0.696797039834591,0.4635184983705485,0.6314692824286169,0.5151844159494976,0.7370117795097066,0.9428466153827997,0.6724198917411246,0.8191900632095624,0.5262591686499087,0.9984991087633999,0.4440796894886051,0.43896184473658145,0.4198540016225913,0.42846079328515485,0.4468748253575973,0.4326382139890112,0.6365607757796713,0.3418284507187173,0.36714250922230707,0.3218139661675245,0.37470390970902867,0.5742763776734823,0.38991460408078665,0.5077793993741893,0.47262558558176476,0.653016589421305,0.5341121083493413,0.4695417367975414,0.4530413736988606,0.5438105428765067,0.5555244190873674,0.4841221136923284,0.4392364364766235,0.5665015645758167,0.4023788508894375,0.5654437808653675,0.3444613541944701,0.3855073837481471,0.6484385115275262,0.5261994288686827,0.6187483510022604,0.5221662646786497,0.5408686408892602,0.7049568445891262,0.6056341338330574,0.3675631287598758,0.27748123711066497,0.3374926143375095,0.3538053490308192,0.34266186362041423,0.39004382650415625,0.3830711407789295,0.5763782382329741,0.3883738325889832,0.38822601435786985,0.3635994797818572,0.3603777631346554,0.2991892965490624,0.28884110889072423,0.40326211456390376,0.333821801711007,0.35050931888364845,0.40038955987235436,0.4621284879978528,0.4392730155850992,0.5168397307364946,0.45034422974881033,0.46556775552887547,0.4162811811816216,0.3974517581905878,0.5665627073784297,0.41518794592689134,0.3326428443138845,0.3181430813769329,0.3989193332418016,0.5670173294699148,0.49225821375782364,0.3519930832933831,0.3588180729244757,0.3401309181574684,0.3178121322519148,0.3495189665490559,0.2923803160684676,0.3344999293632376,0.41195204549962183,0.41369674598852185,0.6205582468030737,1.2595671340879873,0.8946325727874211,0.41843176251541153,0.3538747383192006,0.36753930117855116,0.3289652099380013,0.3285122769475093,0.3345484160536384,0.31996391521676837,0.3172713222487181,0.3321456683921318,0.39555739217846553,0.5247784304539649,0.43429825831540936,0.5264956380418502,0.5940096820762261,0.5185796907329641,0.4425896010255936,0.3763396013134103,0.3884496559237117,0.38399460082406045,0.3022833919939445,0.3504947469454895,0.3729894027494088,0.4974897673972282,0.33795493911749047,0.35274206991537005,0.3910625647832247,0.40559617206715354,0.433910380850401,0.4940563608575001,0.4077281115604774,0.44066996202169406,0.5284173867004178,0.5641664606318725,0.8503628615045842,0.633408330349533,0.7377432708642481,0.5581016231485395,0.54009529425159,0.5690801011027494,0.5273202082315422,0.6127404964051595,0.5554919124738669,0.46830080587263295,0.4940325221136373,0.5738747205442961,0.4661127831302667,0.5051570082917272,0.48565318002469987,0.49101294509764093,0.5360145001502615,0.5877158002618692,0.5157161226286205,0.5618530828082452,0.5980292237590409,0.6273813319349082,0.6376320671547236,0.6747581452671503,0.7836645595134021,0.720779282207085,0.7389447059039843,0.6991163160805325,0.8739173436858331,0.6402391845017378,0.6265909323597579,0.6232764518493851,0.6139717241183215,0.9492292300203402,0.7441404687619058,1.1391050759380459,1.2459433368156936,0.761328494302312,0.7860232464779985,0.7323279893254029,0.6311746965926338,0.5025857003771734,0.694252969204529,0.6844237874262826,0.8158615573989207,0.6080182494363247,0.7645707692754441,0.856057445301452,0.7405919370991824,0.951117580438134,0.5482562795207829,0.6355648264886494,0.6226396728016578,0.6352189085498972,0.7443679133683359,0.8294766797992345,0.8329907397629099,0.6902852064102976,0.6518086069509453,0.8188864235389298,0.7590633854869367,0.6412331504692506,0.672894026288524,0.7483660298104333,0.6478552273099971,0.6517161206651777,0.7429391653725886,0.9355723662043254,0.7353834781368486,0.7533679204113807,0.6836066941678487,0.633206247643212,0.6135082259888636,0.6670690457759265,0.5862145236514384,0.5924150973178358,0.6296910955967631,0.6164354765528861,0.6468102775146342,0.5845573963834733,0.5697470417800451,0.7356245107412205,0.6195233744544092,0.6573059668564185,0.6495846680673765,0.7973499201786527,0.7381971735395367,0.6770958680964869,0.9047032855181268,1.0959028161565056,0.9719280029181836,0.7337766269242811,0.5859879870781257,0.561304403188005,0.7565767223655835,0.5831467560322062,0.6574116097521082,0.6444482577416545,0.5236721637192702,0.4786152477177171,0.4563176710229815,0.44745742196021654,0.4232224447671113,0.6950635597169283,0.8231216669769392,0.954456323205682,0.9081127847586656,0.7121111122618632,1.0725419010141852,1.2376841614951295,0.7120806419162979,1.2024118704118778,1.0627686715041567,1.9872527058161595,2.2123530364048825,2.2031086999544827],[0.4667361199550715,0.4575775357115549,0.3877847523317564,0.25463766875770116,0.39193699976785007,0.4001386898194145,0.25580373640387716,0.2907008972109305,0.3929489834499728,0.28459434975419906,0.3298823110284581,0.4603834964625778,0.28733877212211817,0.28743031246446454,0.3758787312409401,0.3358412350079611,0.35672969033472174,0.36145732957794835,0.497917254091432,0.3906728149170778,0.4688148715210702,0.5492939365550834,0.6389066221301795,0.9441414764676963,0.6467180694643468,0.5621174811273149,0.43621534967549314,0.3313205973411325,0.3379241819865047,0.30722171810741056,0.36578391416929523,0.33979091742903345,0.3692119812395323,0.3828786935389082,0.31136467447518335,0.3308414031509608,0.34061759152613474,0.387045548009897,0.36964591564222204,0.44038346792527133,0.5542345534023148,0.5348765722618279,0.5242889184947953,0.7842219377054187,1.118921832055945,1.4038821831118906,1.581961866321674,0.99937187742172,0.8083835523232294,0.9906166386960211,0.8573090358446119,0.7700638996997852,0.679295269592095,0.5849307483908648,0.906637802201136,0.5291728461885827,0.5841156459996668,0.6697962132190058,0.6352813315326195,1.1412142260948,0.6320774431355288,0.505745448867935,0.4239238076430065,0.5509619564050258,0.5055298563205827,0.43721596182197897,0.6521711234199971,0.4251022126666887,0.597700032508326,0.5069686313828148,0.654836841969602,0.9146934931573242,0.648752082247236,0.8491714484310141,0.4871265753910158,1.0748493258363485,0.4068640766599773,0.40402060866389217,0.37375017063440275,0.41752884698306936,0.39687539077235817,0.4322724972688774,0.6019973551026226,0.3384875966231716,0.42768380874076145,0.34467829245785847,0.3635056855945677,0.5574952079658331,0.35092353057674214,0.46258110622627613,0.4093996813131106,0.6890040313719911,0.5448727665081259,0.44640468019536295,0.42126520283939617,0.5204158774441346,0.5121300830262918,0.4297832120383641,0.38292782632364286,0.5260412367461985,0.36301057857327623,0.5124938131633543,0.3010227149382391,0.38294723462005975,0.6536528922277085,0.5223617692568758,0.6267945339849034,0.5666060373701276,0.5805669021231662,0.6987142605140046,0.6432108832737603,0.40299333979318397,0.28051989759470575,0.3305423964014099,0.29347190027613174,0.2921661348943041,0.34015337315083405,0.41004189722416307,0.6163013876839204,0.3206393490336456,0.34842716310790794,0.29311153021149494,0.2935572677547961,0.23177221586547703,0.251030517164474,0.4045398650708857,0.3498880724278148,0.40569949118735366,0.45845675383440937,0.5149600715353506,0.5114703937748818,0.5706340423331604,0.5458942121810474,0.527505245075227,0.49308688967037306,0.46435138338655435,0.6626234524979842,0.5052329805335205,0.36059427848597947,0.32483635555999757,0.4605613101636365,0.621942080040047,0.5168522201494057,0.36087000116009466,0.3858457149690304,0.3407854582933768,0.3172804115168155,0.334750939771119,0.2888557294546163,0.289983903156671,0.3868339407733783,0.39676079054792035,0.5962109746255976,1.245440710565767,0.8740825040008143,0.38879650618203854,0.31240239968944616,0.3341122565660867,0.2771840927541421,0.3346575114704985,0.3593897754359063,0.359118910962523,0.38338448152452986,0.3991440151372907,0.4738325699910043,0.5502076777845564,0.5306005518514647,0.662523738514903,0.7345465512568884,0.6379516463973979,0.5479285444016085,0.4667510959844654,0.4617931296389026,0.43978608565787186,0.3503585352979384,0.37038278556854093,0.37042644897977217,0.4787760260188273,0.35731494110476203,0.3939688198195714,0.46568868903788635,0.44972508581002857,0.5042519742499351,0.5761698289987677,0.49985045314299864,0.5521976665901701,0.6374746808422834,0.6516258188420059,0.9370509934338189,0.7341805173748455,0.8183632649495249,0.5846188665327999,0.6233374342117981,0.6701986435156425,0.6369963793490261,0.7379672980709574,0.6563898548787063,0.5530730700571495,0.5735503655181134,0.6171428861822574,0.5143310498004039,0.5190445998903553,0.5165432198094669,0.5349139101630158,0.5581482943475098,0.5951678156709085,0.5528001045037574,0.6069114269717271,0.6050051663474869,0.6393111128313969,0.6743201188871883,0.7073418899467687,0.7838111646715143,0.7427235294074018,0.8151774430074111,0.7819496077953748,0.8950793020469597,0.7436471782983497,0.6841564519317357,0.6883913419131878,0.673514536082972,0.9174327845978558,0.8317045086565762,1.1345530559562018,1.2070981412876443,0.7477847879371811,0.7879701854581843,0.743624277834212,0.7225782697557526,0.5495760289157804,0.7315916136819812,0.7779631432513636,0.9160012265683892,0.6993961996158186,0.8193813288486007,0.9571661287220564,0.8395879527397324,0.9847170693470201,0.6150187751023414,0.6917390196350501,0.6332203969571826,0.6388008748952447,0.717083558990743,0.8200738293039516,0.7950794507989545,0.6850261164806642,0.6315467999485841,0.7639236930057482,0.7329744918638863,0.638278972335636,0.6759303550982172,0.7634086195926693,0.6556429750744301,0.6637998630436454,0.7685204957051481,0.9436407450124442,0.763654377402146,0.7865155044667013,0.714346480013922,0.6488774823962818,0.6160429213963043,0.6738018131197495,0.6216798514777578,0.6113472784366898,0.6223306479352536,0.6460425089927371,0.6772503854635009,0.6231589856343993,0.6383912753469428,0.8170150862026965,0.6942455882235496,0.7422302062122521,0.7248262258651704,0.8508159568650313,0.7929053478120474,0.7437624171963663,1.0028800632680317,1.1369338601387764,1.0582705787287483,0.8177246568676891,0.656226183738723,0.6369540928344546,0.7503498921525501,0.6355348895822138,0.7327479506948535,0.6909259739597996,0.5790978341161094,0.547514767637482,0.5235445576722518,0.4955173456491714,0.45885239535106864,0.7015316043885451,0.7833394945117799,0.8932368073841291,0.908470177712728,0.6847115719293121,0.9984158917222997,1.1950071452868556,0.6732655206471013,1.1591704235475755,0.9785358478294959,1.7872578490420992,1.9861703723077246,2.1222561008315104],[0.34196968168066777,0.3312295847419061,0.3828879097951062,0.369958569223531,0.4532243740436676,0.43243479988917816,0.34168875205554256,0.38255051219958736,0.4721910333141396,0.3604463684277573,0.39965331265561665,0.4805439282209834,0.3740359878612011,0.3811010046712731,0.45208611585503566,0.41671444753950726,0.42984462366569176,0.45064427724777056,0.5603292506979479,0.44799366216931763,0.5037465534551642,0.5678562118301258,0.7053221802707758,1.023167589491536,0.6729328338671476,0.5993304230778621,0.4907188525329445,0.3866978631365909,0.40494273080275006,0.41058646029819607,0.43581606555826335,0.4290439823609211,0.4453976934148945,0.4718635521811079,0.3973985080143733,0.4244600410487062,0.42130753829510903,0.4304205590877343,0.4184015533256395,0.46847122623219817,0.5769329840116758,0.5732440131696411,0.5559160768071626,0.8160086418763475,1.1500633591426668,1.4294979040960718,1.624804809072735,1.0367740781420471,0.8320331346233786,1.0158398965611826,0.8807276543642097,0.8027506925935336,0.7131904158245147,0.6197346185274528,0.9235570874228783,0.5682698673237371,0.6141073546213336,0.7073320239894145,0.6908995686165396,1.1569450907134664,0.6471260018705521,0.5233060199419133,0.47639045209960734,0.6153691508092178,0.5536807436369203,0.4630055237035135,0.6901747103301826,0.510197157388538,0.6338438386086502,0.5711903901057181,0.7099465934097843,0.9413176737130382,0.689679262594946,0.903293269327256,0.5439773566508641,1.1285947719600937,0.4731661558577924,0.46444600377628,0.4402227209885658,0.4703590452425056,0.4715364177650594,0.5089960977252077,0.6750920324577581,0.3815456895870522,0.4660529881475995,0.4082218299158642,0.43940544576162904,0.607955761888985,0.42345330795640185,0.5232791847340879,0.5010897951990999,0.7120871818009837,0.588478716473675,0.5083260350707837,0.47981360885381835,0.5726250773162029,0.5703906477176758,0.49470979694189504,0.45815471461482227,0.6425280677302178,0.44674831997106784,0.6289046906237777,0.39318720731621626,0.45616018528393304,0.6686257662305443,0.500764710266576,0.5870642058346743,0.5223580212261552,0.5347127730179561,0.6444164096752806,0.5778166446600594,0.4037743155085919,0.3611383907936222,0.37012392176989245,0.3970440565665364,0.3513500183365708,0.3902662140324701,0.47331025830831114,0.7067688621044051,0.3843930222687673,0.4103543851683469,0.3291385797320651,0.3699666477159318,0.31862945339140125,0.33387281069987185,0.4139869575021637,0.40075706081708273,0.41261658657073086,0.44395129569705694,0.4967327036258218,0.48158528718941446,0.5366337763290866,0.5074030650840898,0.5060339381985838,0.4662562237974747,0.44858739761709937,0.6226642685361743,0.5000301743667971,0.3793733966131116,0.3405251526334635,0.49548683451464276,0.6551891403357767,0.5808956646563483,0.41939905007633255,0.4217619718304034,0.38376812490230544,0.3557268748490571,0.35973454435970204,0.36597952876710543,0.39958996781772455,0.5014586852103703,0.4690478582856396,0.6788669405721631,1.384674129110241,0.9786022707452162,0.4694527264173008,0.4136117581021803,0.4452435690375836,0.3869135679437159,0.43201570467320183,0.4077922779655797,0.4008373249019999,0.4065215346356225,0.4308025803391543,0.47234475248459434,0.525551765346489,0.5147160079363332,0.6576600728359077,0.7226358833402358,0.6282615204530341,0.5239119340886869,0.4633631316425726,0.45827947797051855,0.44817704906315015,0.385360655490086,0.43282873809367056,0.4525554937232704,0.5712509659144387,0.4034061121913082,0.4355519389631467,0.47289104486503397,0.466396712046142,0.4865552464947587,0.563246839464482,0.5003937564308758,0.5678475410368798,0.6457019037130443,0.6716118898636864,0.9476856410215423,0.7322170696830722,0.8117645026008447,0.5711237603511766,0.6113202664541036,0.6575340621362893,0.6135107340218154,0.7198273981616321,0.6182012472691069,0.5044551920084087,0.5253312376685711,0.5771237236177199,0.4883591672874642,0.4964066578561288,0.47710126258316693,0.5000878651450622,0.5415213485889346,0.5747788380475277,0.5440258035389454,0.6138178101958655,0.6328236105121444,0.6493519806346282,0.6957433798526222,0.7587075282070207,0.8249006496073339,0.7743563584909743,0.8682533547120997,0.7914867664641121,0.9477490214207585,0.7930755402312335,0.7167827361868301,0.7471150732370551,0.7311831672744393,0.9876150301918826,0.9022975330013705,1.1167061350135237,1.1312555128636492,0.7071370486607963,0.7837086791636478,0.7002403733045692,0.7720592767413414,0.5552215574431316,0.7227849106242861,0.7677365959373776,0.9203505851121778,0.6924273425192973,0.7949664524851316,0.9872988879661346,0.821930460752937,0.9702227609956452,0.5930227662022428,0.626809669633366,0.5737981052958232,0.6206065746496463,0.6990699718640824,0.8344064287346064,0.7730122015024301,0.6598210728764935,0.6243062261308728,0.7339453345831864,0.7205255787182312,0.6162978274713001,0.6727629080332133,0.7554585226374468,0.6471563381935119,0.7022863114327558,0.8271434747547712,0.9486606310299974,0.8215221233199658,0.8619936705565888,0.7738358801778848,0.697779646953568,0.6325638122551729,0.6718655978589869,0.6756867459317408,0.6386356455778555,0.6486443683301415,0.6748243198010215,0.6959320478610661,0.6220328265523547,0.6673179766895887,0.8601204347117475,0.7194438528402755,0.747016591355699,0.7700237456578529,0.8955744845978783,0.850177167980598,0.7704863915390691,1.0080016219126808,1.0512179137972224,1.1673527937823396,0.799869816222418,0.6234350023405,0.6065835169628365,0.6526657524133217,0.5942040149522705,0.7214085519981039,0.686617487385912,0.5624855941935153,0.5181839771396998,0.4783761744404759,0.46243108842367336,0.44689998627004,0.6496747071954195,0.7521744621734601,0.8421110002587716,0.8280535663588812,0.6523472331913494,0.9628378959430149,1.1091408368449487,0.6314227936281435,1.1823353736597673,0.9617433630002269,1.8472392279286616,2.1886402832182306,2.281775470791124],[0.38960066367614954,0.3643968775492221,0.5578413579361647,0.45954360475492395,0.5198841914203656,0.5572569590806455,0.3839099186984766,0.41776072062002917,0.4908480679267689,0.36099463149730826,0.39598893179495953,0.517463943295395,0.3581703112950953,0.3295493955617598,0.4007909130637169,0.3675313374524668,0.38381315434737373,0.3876521154963572,0.5275153902279982,0.4327384157354982,0.5245711840359565,0.6209500957482448,0.6853298172075084,1.015651798988203,0.7272303384017602,0.6262502346287067,0.48568339943629707,0.3839828646195584,0.36070927656443363,0.3562476679726641,0.3815136573472116,0.4014417397025395,0.4158018517039367,0.4328524552357258,0.36819744182666025,0.3780439732372543,0.3671977158987635,0.39624216560879916,0.38085467398495815,0.4357470408546006,0.5629842586154652,0.5552426745769872,0.5550101162598086,0.7996427020590311,1.1271706750315567,1.3859535260814617,1.5576859557640599,0.9800423454428322,0.7960332924770807,0.9821983935256722,0.8794826385404453,0.758498513010163,0.6746994831095522,0.5828321900268155,0.9172588555001135,0.5590088789639309,0.6042438389045528,0.7011894900778414,0.6918763964650854,1.1810028176719607,0.6647766556095057,0.5420674975349941,0.4541654749957404,0.5969640062894475,0.5441145551817644,0.4686715497030165,0.6946288200117294,0.45032964862302083,0.6100157458841483,0.5183081911096424,0.6923330239468309,0.9195319311033943,0.6463832294932984,0.841175768555193,0.5161917034923088,1.0397878321634035,0.412236642454634,0.4034806776961515,0.39463798506319875,0.4500521188295661,0.4366428334168506,0.42685904647797196,0.6000186784658019,0.35487326120022766,0.431739914548208,0.3406088420623958,0.3882812177617456,0.5698358588745477,0.37372673846728816,0.4875902406449724,0.4406132545133607,0.6561498056940769,0.5225980819414506,0.4579839381378257,0.44832708405970395,0.5412275618457418,0.5673327464671428,0.5018444461289803,0.4671989793099625,0.6298841954479637,0.43073387414304376,0.5960939378863909,0.3849325055450439,0.47072180436215416,0.6467851133430501,0.4922131957652289,0.6124764319210964,0.5641721976899545,0.5313535509276904,0.5889494410519577,0.5384491333096566,0.3748665654494817,0.35230924006173875,0.3708359981823351,0.3507809629351012,0.3409448659913255,0.39133972682957036,0.4749078179248814,0.658208067612652,0.3355916728842428,0.36451378468772,0.3074230528883709,0.33907465935296477,0.2896313503051005,0.3224865529481161,0.4160415659849067,0.39752935134746537,0.3937440845088556,0.4512586416934606,0.46919674357917335,0.5312231941248279,0.5885521586960576,0.5635363140094648,0.5081407870734119,0.5047179715963428,0.4716401185779173,0.6274093670573598,0.4913794221502785,0.37900676025218616,0.35511185064734097,0.5442225816682638,0.7019742816680533,0.5785920471959999,0.40491152004547093,0.42123543857896256,0.3677695461001495,0.35367171829802674,0.36683542916728523,0.3473481452905151,0.37794943225056116,0.48323008629057684,0.5154219187475614,0.72550043838129,1.365274630124787,0.9360852976950946,0.5019734224216783,0.4108421062991066,0.44610638399068164,0.3746171799907502,0.39343309784059954,0.366308440660959,0.3604754107755529,0.38977301945440557,0.40197557332680245,0.47749315592106234,0.5462098128501569,0.557762315965817,0.7055556750079134,0.7597512592970099,0.6596150515828045,0.5506203006117746,0.4684362697621407,0.4549100286693916,0.44734636810578693,0.36409398859951364,0.3856442134522172,0.3979351721304995,0.491628346305934,0.3686656458444141,0.3939116274602045,0.4643889957694139,0.44396674182457524,0.5020567824580262,0.576704697358112,0.49299008790635646,0.5461349294798493,0.6409132203400052,0.663605410570271,0.9219546375317318,0.7531708205519362,0.8429310521054971,0.5962333372537025,0.6413606760274896,0.6915489058880044,0.686672849943764,0.8325454129971281,0.7128069499313693,0.5942709823952251,0.5951140102336574,0.6402208343509045,0.5388341434545342,0.5124440552047643,0.5026394243236276,0.5337587390215343,0.5550702305208387,0.5527208997791858,0.5781374443998565,0.6462580972731952,0.6353558266590539,0.6538668129858537,0.7081491263282778,0.788800327492273,0.8316965123737531,0.852859483237736,0.9441476331669567,0.8505935490570093,0.9922477187810018,0.8402873771856181,0.766646504262745,0.8074232250040873,0.7990803390695771,1.0486452951610956,0.9319907429377403,1.029368954853205,1.1030451169842326,0.7344401416473543,0.8594682977997938,0.7384686259549329,0.9344196803623082,0.6427834064831378,0.7396729976932996,0.8389812364854045,0.9738206035282616,0.7679038644113266,0.8640175381964578,1.1075310827201004,0.915685016301969,1.0646560139595078,0.6905169467466897,0.6664404236028091,0.566226523198185,0.6015877858168648,0.6581437425488998,0.8265958000996019,0.6846322270740238,0.6350170905063821,0.6214889687832881,0.6773308649568603,0.645304423297437,0.6011533197314656,0.6670900189044753,0.76317931770836,0.6643936056192756,0.7298633301902727,0.8281888188836173,0.9764772444733361,0.8356664169785609,0.8808172404479251,0.8096298214596398,0.7276352543191739,0.6581876388181911,0.6982737130292401,0.7212124012177422,0.6661787188193969,0.6702752800626561,0.7305528576752219,0.7456704190132052,0.6775468545053392,0.7573286527809349,0.919846099312138,0.7784732977413465,0.8293696206574034,0.8472980078777773,0.9671194378940133,0.9016778595583933,0.8186384467710575,1.0318211811060518,1.0637937879318369,1.1668543296049483,0.8336658383031053,0.6656648370041173,0.6584199012119383,0.6483095445146262,0.6191982165378175,0.7612486521210953,0.7068788227265319,0.6284175292290857,0.5832777895764706,0.5431391133724143,0.4740700707257301,0.4829352205065925,0.5498292460415088,0.5788936608686048,0.6763899032799768,0.6811210567996185,0.5507708971540303,0.7626465008027392,0.8774584672248262,0.5061936656546486,1.005563966333522,0.8264543441821953,1.2852148739188194,1.5698553484579252,2.1534379087711875],[0.36882845165111644,0.35238972816829683,0.5508122224781323,0.44949666240808783,0.5327262250105018,0.519631230023336,0.3649735806058927,0.3853500038050853,0.4641580667676709,0.3575405414431899,0.383204978661182,0.5002438841242808,0.36878423407298927,0.3455108583837534,0.42709308379440947,0.3986846567836098,0.43779737068410846,0.4452909640914803,0.5865689270733776,0.5011436016069235,0.571922610325331,0.6494598265076591,0.7892636115633969,1.092432757663973,0.7941334842059411,0.6767102908940401,0.5414683897720354,0.4278591554502169,0.41880275877058576,0.39204212239365843,0.4332736901126596,0.40680762466280257,0.431416873834931,0.4535456663832233,0.3928981945632191,0.4234563738464401,0.40059152925606273,0.44873540896694597,0.43849785845818906,0.49166964589868917,0.6127673683710056,0.5909916862775348,0.5777554771016187,0.8227108803736825,1.165867903026582,1.40267497943494,1.6373221603039887,1.0340255162616607,0.8410866637492586,1.0504106824290207,0.9135729776972776,0.8208234439057325,0.7427787561029406,0.6320852173474049,0.9229293420698144,0.6185469980740328,0.6552069488362415,0.7385255294620003,0.7180381774533693,1.2489085994292044,0.7092858634501336,0.5875435312852566,0.5149368514401353,0.6906239231538803,0.5991470595245078,0.510464595499235,0.7542677302249793,0.5142661665289796,0.650327501946448,0.5947964021726206,0.6888658019079856,0.930447186449029,0.7057062602172948,0.9456512805585535,0.5581861288608676,1.125566678190779,0.47663310881515947,0.46602509011214527,0.4357241319349815,0.5103243017566539,0.4587942970285599,0.46411989007065074,0.614567365376476,0.4053420077693984,0.4805046826241915,0.40206831448124053,0.4287797465650532,0.6270061050732026,0.4372362084855492,0.5131706602589331,0.4903472548814087,0.7470217485534391,0.6010673851304539,0.4972034606088015,0.4748784737006277,0.5635846262975396,0.5673664118356543,0.49545929779253206,0.4526033631866512,0.6180207123359084,0.4291009353817438,0.5858951608964991,0.3946208718144471,0.47011168290856165,0.641809210048434,0.4870316640768318,0.6026900611275392,0.5886698996369328,0.5443940167528749,0.5998993852733681,0.5506899275479024,0.39948196018973564,0.36733293537264705,0.4053413012965429,0.37864851186693693,0.3658713463058829,0.41709143905471313,0.5125479148432814,0.7434060319062624,0.40097340792107683,0.43628599866382833,0.34416500805465794,0.381540704821151,0.33092050583102667,0.3511439773089602,0.4591697786215394,0.4083680674579254,0.4254534278878238,0.4811046221723982,0.49040496091578445,0.5680046142507321,0.6147499971388946,0.5958982048060624,0.528463287904469,0.5378613792505418,0.5030897004918125,0.6437786115910537,0.5289376475762569,0.4356545850355781,0.4193571216119352,0.5450706886821068,0.7515466581932746,0.634423604074234,0.449604552970715,0.45942514307915594,0.4204943215412742,0.40156949963050753,0.4098013875042623,0.3773616089376243,0.38405313969764293,0.46364907521537335,0.47202864871212735,0.6934489932613458,1.3580882808554577,0.9467255076086756,0.4708947766861312,0.3962204718135726,0.4292483254467799,0.372773483136567,0.4090725442194658,0.4043825817821721,0.42602635826121155,0.4435693953533301,0.4711830676098248,0.5363393488237969,0.5564813560529278,0.5828562201301958,0.7242172001775831,0.7667991775818748,0.6767462631452408,0.5763801187438288,0.5121340981568758,0.5062036778693413,0.4810674570938704,0.40539422812879355,0.4060609915126678,0.41453985610474137,0.5011921705057285,0.40588750978707505,0.43120766186742837,0.49822037361703964,0.4598550245385939,0.5274049303350571,0.6046220933584228,0.5301313443632135,0.599977427728602,0.6800670869433858,0.7136555049458168,0.9700462845153045,0.8028501199294933,0.8868407349945322,0.6524857788111847,0.6645477544890049,0.7079147272380775,0.713328824795182,0.8891487853591729,0.775197366656198,0.6481900316991944,0.6298681187031475,0.6519286032635694,0.5766124179074672,0.5409327681272603,0.5167933919147677,0.5643855197480918,0.59714594618565,0.5811317504300572,0.5990982638168741,0.7099217496797351,0.7044060333333629,0.7037620630933773,0.7752420235139137,0.8905018165838728,0.8992289604876446,0.9080916423435449,1.0543169232412326,0.943078945092119,1.1240726651253263,0.9839263933491479,0.8787124493171871,0.9543816602690162,0.948720136313096,1.1703017332038894,1.0677479883397458,1.0583549127936516,1.1336237155687494,0.7924609551386963,0.8916848339610948,0.7946846935560475,1.0469451353889183,0.7236642501407325,0.7836410187682735,0.9350450091142185,1.0385262367112778,0.8169249630344574,0.9245804776489117,1.2103220537300623,0.9747007134347356,1.1061893807235963,0.7330615144718776,0.6947734793435589,0.5930791841818953,0.6341833472665696,0.6748798717035887,0.8544054745433958,0.6966981683073312,0.6565758604675435,0.6537238386698825,0.687555262462705,0.6579191711891998,0.6172501755381392,0.6928095034220122,0.7639660558740519,0.6824587256339272,0.7945924213273038,0.8864985410720242,1.0135751160243942,0.9181968748788462,0.9950283913408278,0.9239467587443754,0.8349522650617327,0.7264399915990762,0.7888486115833901,0.855190623588814,0.7640803246140041,0.7478831824546064,0.8517694088007606,0.863596461505772,0.7556945084641925,0.8731785203812891,1.037482987666735,0.8707906973980204,0.9036707289928831,0.9935605472482462,1.0846309751524554,1.013552558602701,0.9201536298906007,1.1654742520314885,1.151120749869066,1.307631328099675,0.901948660716778,0.723152633165822,0.6923111480523667,0.6551302479296388,0.6399051637211047,0.815594447711561,0.7076918774398685,0.6602530709273131,0.6088366786036209,0.5650017754881654,0.4971003311266513,0.5054636921843375,0.5607558678515012,0.5879559023026154,0.6907205560974793,0.7011527786398776,0.5413721437604039,0.7535909467400942,0.9087670929042517,0.49741427945016214,0.9883000712236665,0.7945963581155232,1.3450432981038343,1.6796393191277479,2.257637432494583],[0.38879214151825775,0.38656543256283826,0.5214904363526727,0.40066595478079686,0.4569029794543463,0.46858100828247295,0.33391833854663344,0.3655436954654845,0.4249489939928791,0.3389518762223328,0.3611013354503502,0.48991933833120777,0.3483735312300468,0.35673290226410326,0.4345134077896296,0.3984174701621262,0.40072030607324377,0.4218136902004177,0.561066191241911,0.4302684178935822,0.5167625717723108,0.5993043625499246,0.6893969110834863,1.0260069072786249,0.6978871767645949,0.615874431694111,0.47879657688546406,0.37148864743639054,0.3839859627201851,0.3607277830518106,0.4168675833456084,0.39097258773942506,0.4118514679743145,0.4327407634810427,0.36669504089705607,0.3770235862624854,0.37588726535720796,0.4025400418375223,0.385005227588972,0.4428457495743859,0.5628149589154847,0.572059626284419,0.5589247621199182,0.814359723852464,1.1430966045837663,1.401125645908863,1.5687221877392497,1.0014938703508423,0.8056146132459676,0.9813126336687337,0.8538034491748787,0.7604320142611963,0.6802508296389431,0.5750654781428979,0.9194986386432848,0.5320379788773936,0.5806860006797502,0.6968086520673229,0.6721682184754594,1.1360091373990393,0.6546122608348702,0.5231491220758555,0.4604789974756655,0.597892618421175,0.5280954670213929,0.45977305842124105,0.6676072481164627,0.48942704049397373,0.6556761310338198,0.5558857787607808,0.7237257345718228,0.9904722193647545,0.6979806019794955,0.9120146273216704,0.5080316630675166,1.1227100293786405,0.45365433665781874,0.43960755875429963,0.4002034874062974,0.42418760591024496,0.40998605271640653,0.43520575898707214,0.6344271308491525,0.3781309291209949,0.43367764625672656,0.35547902868174563,0.3664194110631995,0.5555598436533793,0.37644613247642916,0.5100114372836998,0.46501221231228407,0.6842061180368052,0.5552233163549606,0.48250879156283316,0.45062095630099397,0.5501475197304116,0.5440706728915858,0.46703113762716614,0.4299029023155116,0.6405084108917872,0.4048757712179374,0.604052372230668,0.3950248170796664,0.46757705319706494,0.7099838572705689,0.5068873887439381,0.6184657282616914,0.55465551846665,0.5351413225237304,0.6632448519744849,0.6005189552356313,0.3858553463176548,0.31280912436060376,0.3659840490385793,0.3592464980022542,0.3618643394103235,0.4094981579448596,0.49591098056836386,0.6939305644131886,0.37038645238871803,0.39404320954210703,0.326482350816154,0.35988120429078824,0.30417650167388627,0.30978095503531583,0.4208778950498125,0.40125444285587586,0.4077388610284374,0.4525644247219035,0.4813421275573003,0.5084514273040974,0.5623227721165629,0.5463720416585793,0.5002079101095754,0.49326103234432433,0.47501473559449064,0.5996251531281138,0.5039202972178523,0.3855764189786333,0.3590132578678366,0.5359430413513171,0.7186525707670215,0.6031543736465429,0.4167729935513043,0.420648913604101,0.3779313041444295,0.3607307688535946,0.3710627154956431,0.3225709867297467,0.33785842019627443,0.4402213509508974,0.453761908736187,0.7205152744226694,1.3690326609931112,0.9401642406495636,0.484313154948013,0.40152606681737363,0.40858259978175726,0.35979198762907116,0.399065332560377,0.3723196636249929,0.3717515264670771,0.4043139314100094,0.41779098846929724,0.48774910679245215,0.5560413190546064,0.5604567450989376,0.7074240337483616,0.7581100481870756,0.6658800253140106,0.5501347094965666,0.48030420562163045,0.4588124899705659,0.4453025149741758,0.36790918747699625,0.40434313878653755,0.40474362831897204,0.5278467605811661,0.37122378209745954,0.38212653493067356,0.4614568609086567,0.4573045723550792,0.499270702487501,0.5776200389186325,0.4914363871862409,0.5481403539548131,0.6413511083214571,0.6587232803148737,0.9298541063154545,0.7405375688511507,0.8275709374962755,0.5947431693260298,0.6383340923187218,0.6868156150496915,0.6777080223134809,0.8040143602169705,0.6718259144189411,0.5491047188016129,0.570719191358068,0.5808974337915878,0.5535944574554996,0.5407709826994287,0.4942403336613544,0.5765216241439213,0.6194030861483748,0.6016524957176165,0.5958459508716052,0.7138787370923689,0.7284030741926107,0.6948747340123894,0.7704402226986634,0.8953583114753678,0.9068879590629899,0.8666550764564422,1.0143527112563904,0.8847591647229484,1.1128197167696496,0.942474485550474,0.8727145095700714,0.9408318325149316,0.9269448889730398,1.2037558070213754,1.1409188524232723,1.1520383723054828,1.144731658252219,0.8009719951851629,0.8408079209934914,0.7715044848323959,1.0106683488358241,0.7169732420845689,0.8357438172646738,0.9460146850460714,1.1129829262578392,0.8564811870803823,0.8459608808294674,1.180552135049661,0.9447400774713476,1.0072743650019174,0.706055314406666,0.6010550372037063,0.563051487947205,0.615738875751578,0.6369489570070503,0.9115159993243394,0.7065827666986154,0.6399419807088642,0.6868578072325452,0.7542910207933218,0.7047454652444454,0.6516718368147941,0.7302499384175565,0.7924344760064609,0.7092538546861202,0.8333384962048815,0.9373396569911845,1.0462772611858977,0.9493187873896567,1.0398743399765507,0.9583105454385857,0.8811622708943115,0.7707222936739204,0.8187148270918178,0.8698621253099623,0.7878063693243508,0.7899494275106154,0.871214654111503,0.879827124053324,0.7703661287085147,0.8846693222404882,1.062144935730212,0.878264509398205,0.9008148064372403,0.951243028406799,1.0478079099331816,1.0108475320602917,0.9393663448416679,1.1487733505308944,1.121577583608779,1.3860186887544097,0.8700617625766662,0.6993303321369518,0.6673524113175758,0.6497560658751128,0.6833001464567053,0.8236697063123463,0.779158650128067,0.6637610049901892,0.5611091391700568,0.5099560474736222,0.476125968002279,0.48140905478047014,0.6288166472750661,0.6549434134060906,0.7192157729444032,0.7370772402869578,0.5746336796451206,0.744081591555479,0.8499042664197246,0.5092273014174655,0.9486758038675615,0.7684692695276385,1.3363547328442373,1.7886473260773517,2.4600532761873817],[0.3182348248090436,0.35097082588363165,0.46893535510534556,0.4584237746899112,0.5209734032108362,0.49680774432961533,0.4207370496995414,0.48368604695299433,0.5586843422581954,0.4826052186607808,0.5187561609711939,0.5915266275300424,0.49118566019859106,0.5281792894550389,0.5925728172918215,0.5646895902417681,0.5366199863232939,0.5661576383050918,0.7093738035851191,0.5494506022457327,0.6066454293510143,0.6510082240673744,0.8158188612194148,1.083222895653396,0.7392251100493058,0.6791546427171286,0.5621931743398755,0.4945117525085873,0.5291145781535617,0.5232780055788744,0.5749944379833668,0.5667295961632425,0.5833406653331256,0.5931503026758758,0.5385347871711876,0.5395196599781985,0.5276806707565498,0.5435080720135829,0.49696217753125044,0.5146818592927564,0.624498727144629,0.6569451085968598,0.6358259178006408,0.8725020423067495,1.2104004785083013,1.4496646826294395,1.6469253253008824,1.074153711981293,0.8767569504750953,1.0429439796916218,0.9132555911334507,0.835334134511579,0.7597060995508395,0.6544007836462582,0.9707135549883606,0.6444125433943381,0.6795796152210983,0.7464417625526527,0.7404887908584835,1.188365610065238,0.7243901347184113,0.6317763409747125,0.6050636475163184,0.749852086204622,0.6493283443738261,0.5805304504469819,0.7716319996912806,0.6273319204533441,0.7258324912100736,0.6962281869202666,0.7796447890157204,1.035507091670864,0.8076529599345335,0.9991156493396932,0.6659435347659318,1.2315064792154917,0.6036509550245915,0.5926052392017142,0.5641972840669098,0.5634223200580686,0.5453376667645677,0.5848196915973023,0.7354140763683518,0.4875045961160539,0.5361547133101338,0.497584676479123,0.5357948463018553,0.6687269332224159,0.5315263314351846,0.6411381907259983,0.6202344428907156,0.7958276863510616,0.701065980301065,0.668423219945845,0.6318865129388925,0.7115726131582286,0.6983426682210128,0.6208217863203291,0.573327660261438,0.7190487137245305,0.5322085229920375,0.7017815741653551,0.49338789982804954,0.5514645725332802,0.7020586969561079,0.5368789124429302,0.5961407190444378,0.5178909358359749,0.5121839041618993,0.6646889166465801,0.5846897046477412,0.4348802422766816,0.4176620926936364,0.4589650788936947,0.5056503992975855,0.469230461689274,0.5116669216113723,0.6008918055675717,0.8263786505047326,0.5319773314687075,0.5598759290466757,0.47872324520812326,0.49619854600176844,0.447151834338273,0.4381391608419824,0.4706331591562771,0.4290045656746903,0.4367654587157785,0.44607080200325067,0.49586858764720365,0.48213630467354907,0.5233125509978205,0.520931142351948,0.5019158666923659,0.49663213638924886,0.48645764034114286,0.5967744605294837,0.5519575274116554,0.4531819623284479,0.4344371174973981,0.5920327906364609,0.7661068433370175,0.6943702154637993,0.5168363604132111,0.5052534371918221,0.47370821003662955,0.45314129989594104,0.46207482764086655,0.45022658202466226,0.4756609765209945,0.5583180620688554,0.5576137756975469,0.7631539618106309,1.423771597825409,1.0408852727152573,0.5794367083062237,0.510501048698143,0.5159454317028143,0.4776690990030689,0.501167103320531,0.4809540920716145,0.47653512329293973,0.4866335385950736,0.5058123389779666,0.5357165096146476,0.5836148454244122,0.5534245913230448,0.6994788965264278,0.7471515509475108,0.6660170353699214,0.5503136656508599,0.5319941607859268,0.5223683319323997,0.5102318157698124,0.4508158594566964,0.49235087109352554,0.5233808742867231,0.6377440249512839,0.4725734435319968,0.485137822694681,0.506451082942411,0.48737630651486386,0.5086281418533213,0.578293101956685,0.5187777215309726,0.5793013573334046,0.6596048077220396,0.7010148403039397,0.977949379180373,0.7788543257616037,0.879496978760083,0.6408342580945013,0.6479885490058296,0.6692060677320142,0.6234006507480321,0.7400748181090254,0.6293707789243868,0.5075985298094814,0.5081711537717484,0.5682733193980817,0.4862821540872944,0.49693382791554525,0.4663542215864622,0.4999916146395863,0.5487058616870971,0.5649968018740688,0.5473781933966696,0.6442881289009574,0.6722781748955061,0.6532712113033187,0.7261865579653646,0.8315241713112054,0.8656269788528015,0.8045372671089478,0.936050901121282,0.8449326342891912,1.0396971984457635,0.8902585767769999,0.8069595086148785,0.8615782072556838,0.8510665551400599,1.1548302674321302,1.0501054370082792,1.1317828021983303,1.087447722584956,0.7215326760287853,0.7979228673071547,0.7107770609774116,0.9282969631620572,0.6181385715742266,0.7325376785923695,0.8345668015294817,1.0071422332695383,0.7341436413142275,0.7819318144133676,1.0942452487952168,0.8724461571457363,1.0099723601798523,0.6235427803029194,0.5633871651586607,0.5078658660850434,0.5603548307798695,0.6148420043240787,0.8752231362046508,0.7082937812836088,0.6021166278280515,0.6355237538671469,0.7494187562503043,0.6966679385856499,0.6165531456555471,0.7012721719727402,0.7932244838504078,0.6844973738114717,0.7707258936456167,0.8938087728481258,1.0010760662018356,0.8969883450701223,0.9759126545062535,0.8780661457961175,0.7983791908460033,0.6952855691095978,0.7340680351035314,0.783506116601633,0.7048722698591355,0.7065036172825756,0.7700908529285598,0.7882685081987253,0.6737946980331291,0.7725890424431372,0.9651255441626537,0.7959309810662777,0.8200764758152937,0.8668258774195707,0.9860342159860315,0.9360621121585241,0.8552840691241517,1.0945448168119356,1.0839642095131428,1.3271158142390436,0.8359161763165643,0.6527994090451082,0.6171716041865004,0.6180409185079667,0.6140405943239707,0.7488775723241903,0.6942055523897819,0.6011241582666627,0.5389002885846236,0.47629963796090524,0.46353242438252423,0.4762261003576644,0.6279749722819,0.7183864836503214,0.8137825038380094,0.7760149558806498,0.6299023569360851,0.8713186423275742,0.9968653034267086,0.5637288363795411,1.0807253013552638,0.8566933999246474,1.6965195495942804,2.157467698226379,2.438079085588564],[0.30722010075261225,0.3405780404358441,0.4590634836603206,0.39597563754231974,0.45919401566981227,0.4602118823852802,0.3679309041806932,0.3984372829108291,0.4364612492090502,0.3935939354783576,0.4029725448690954,0.5190460225321312,0.4103303376004368,0.43837815340454517,0.48959951331296314,0.45674974448961575,0.45774096403802206,0.4907860697738013,0.6132082752219767,0.4877949988555702,0.5674044133479471,0.6369269886488984,0.6715771519888496,1.0037003619567917,0.6815979042724354,0.6536506184363199,0.5180451122355924,0.440825262587967,0.4529506957813406,0.43736824993763646,0.47185121912852646,0.44943427852913154,0.4744090033417781,0.4960784786896965,0.43861494426625997,0.44418120422018137,0.4514788920251082,0.46583739023565757,0.44628968926426205,0.48418379231409125,0.5868145724552848,0.6172998064472787,0.6053276120404953,0.841544599779462,1.1512446976765955,1.4329307766094979,1.5507786213413144,1.01455502229815,0.8297619316696001,0.9709561475867764,0.8461405917466341,0.7528733433527058,0.6669483272521026,0.5801218140171568,0.9457718408420024,0.5510870176160418,0.6113872025486292,0.703763409468402,0.6949822371434478,1.104270034341552,0.6905671817777124,0.5807543601820505,0.5084410301999506,0.6035497057423854,0.5619131707292387,0.5090921497406281,0.6829791716758039,0.5614530359878607,0.7207234110965005,0.6000586000916704,0.8032467040201553,1.0516973984435436,0.7529788285851381,0.9338014709468302,0.549068518860777,1.146151410907056,0.5330067581876797,0.50716038430114,0.47013169456591786,0.4552239027134672,0.46827442538286806,0.5131823733667733,0.7098856780720519,0.4423656940518845,0.48403346576469847,0.4262214084284534,0.43005875246024927,0.5871746991379108,0.44256357846580835,0.5532691816776535,0.5168710389466613,0.6771829828526003,0.5615464754795982,0.5083692045026414,0.4781779521408176,0.5624838750532432,0.5486653893389164,0.5003666947260517,0.4690882813120659,0.6722083429233577,0.4600296592075366,0.6357849557687659,0.444668535664844,0.496494046283444,0.7406470800093153,0.5464457366792629,0.6513280612446376,0.5512913014511855,0.5525925450885334,0.7052582261957887,0.629486216653843,0.4306064034307104,0.361978520368281,0.4311890816049606,0.4319329785642438,0.45571069755378346,0.49379327478897694,0.5715628168503942,0.7222743692071042,0.44478799089693855,0.45706111438426333,0.420448064942467,0.4507903989717828,0.39971173427664164,0.3923445551004079,0.4872312943536007,0.4339912487312192,0.4515366776759058,0.4684528889047886,0.5089299034330187,0.4922242303120644,0.5422150372877258,0.5377071880106384,0.5378939275889778,0.5130918971995064,0.511597289641394,0.6163151325508802,0.5470507230889752,0.4569881593980278,0.4195933940958374,0.6162506072888736,0.7559684580989339,0.6409347628479973,0.4883870413720195,0.48361124057244825,0.44872912174893753,0.43075169526185364,0.4325431363280931,0.38325913301744946,0.39319748608218896,0.48147667291857665,0.47181367276360786,0.7239869288385028,1.36763993061429,0.9503303241675808,0.5098949509651547,0.4529051995895766,0.45315461269059526,0.4186707429837724,0.45084082217677796,0.43596614286214447,0.4379516049397528,0.4680383234276577,0.46756259735706307,0.5242541203257295,0.6320574607065487,0.5940719275946941,0.7178540792281674,0.767807860701949,0.7013279174261738,0.5766221039055416,0.5241409434852548,0.49293532776543164,0.49255727698179647,0.4212225629521322,0.45773011597965246,0.44930434536741215,0.5881066243896091,0.43605298847617835,0.4206276466893864,0.5019216315823614,0.5030474281272886,0.5291212330046149,0.5940372293089841,0.5245584175712256,0.5709877092279909,0.6620268067461547,0.6772940061661641,0.9452702513056063,0.7337607223928453,0.8044332020439745,0.6024358646624192,0.6572233893132108,0.6812606556985796,0.6421244855854316,0.718488908722913,0.5990284295314616,0.48755066709750183,0.5094878501351823,0.5503665025598653,0.5080698075338883,0.5222310505951561,0.4797861112322075,0.5296137820719126,0.5689658930478734,0.582811726526722,0.5659278145360417,0.647108907309133,0.6782223797360774,0.6569431015937015,0.7189190469165263,0.8143345369904132,0.8609212996877039,0.7983170462405623,0.897494884184025,0.8079804874611659,0.9953623819700465,0.8231836981047266,0.7691923675324401,0.807670250687083,0.8004907939022227,1.1049005190904215,0.9998681800367898,1.1267642564811735,1.0997404308281749,0.7305203016511442,0.7754155862007297,0.6937198009585477,0.8981926278250902,0.63426541948617,0.7707902919088175,0.8329706971646922,1.0412854219920349,0.7753520905598672,0.7684398346137519,1.0627546638768546,0.843164217129384,0.9423965524052519,0.6343721076452175,0.5415540199140355,0.5194238516236671,0.5773118907415706,0.6201552840068298,0.8939717397223217,0.7108405386370062,0.6142831566922704,0.6491144862650557,0.7524684804463732,0.7041840807141049,0.6281914556753095,0.6987718543227529,0.7850424816806479,0.6847171124519565,0.7719605807212302,0.8903560245129762,1.0075614292600672,0.8860829056809423,0.9527876541737046,0.8611903525797706,0.7906409989848803,0.707530198550882,0.7389583320465299,0.7673307469011195,0.7038733898754146,0.7250712308859277,0.7567696700444633,0.769529969242968,0.6821981174749768,0.7561275517017663,0.9308350761558917,0.7808258371951949,0.798603155932623,0.8192685884073331,0.930499395731644,0.9009765045384592,0.8331943054536682,1.0052960143340504,1.0017293588496252,1.2922246593609292,0.8032450802199099,0.6334970070849725,0.6064264066091797,0.6476523974264566,0.6566784737708774,0.7619002669046604,0.744264676913807,0.6161205228251413,0.5253244280702842,0.4753051837718384,0.48502273605517615,0.46828360884549264,0.6602645226156965,0.7170087080689355,0.7701543390302007,0.7752832379253389,0.6142182810477803,0.7970148852706976,0.89603339509713,0.5323849550412455,0.9994882887151756,0.7725328194513342,1.4496393098571267,1.8527794999272804,2.3520464755903197],[0.37862688699659247,0.44038175816091496,0.5471705635893003,0.5751690992465467,0.6161199976392685,0.5471290100094206,0.4919980433907138,0.4914493831894636,0.4601296121195272,0.43103794363095177,0.4054580178106802,0.5263813990905032,0.4529630606627714,0.4530363226590317,0.49485228135041537,0.48895051742590173,0.49620848654238614,0.5235083986118602,0.6193185576659949,0.5285988587365869,0.5902141559587967,0.6687623825704664,0.6744394162723152,0.9987138096377591,0.6738880080601988,0.6788237820341465,0.5690847379699845,0.5015001231912146,0.5178641120762069,0.5081067753676751,0.4889219709942452,0.5000751423232017,0.4952333507195596,0.5292636034248219,0.49392795169542403,0.4989239394235147,0.5441685456868484,0.5505592020201782,0.5548294078132033,0.6040430328475452,0.6742115085503002,0.6852803105302164,0.6829459670886082,0.9065532594413771,1.168280716625509,1.4446978378172457,1.5317339609459084,1.0705088207372495,0.8985052171762246,1.0184006712735278,0.913769604507984,0.8318781745822869,0.7584455736638989,0.6792590941832061,1.0122670356631847,0.6420745292065257,0.7005750501744572,0.7529110993894551,0.727336230078379,1.1070165509851002,0.7214151419921258,0.6209445441408958,0.5393109273121363,0.5930115367460731,0.5929501401327634,0.5548652458817456,0.6775192341628404,0.5799276627988331,0.7221182145584555,0.5939879038059624,0.8191328705589785,1.0629954061324138,0.7501345118501589,0.9115563323880758,0.5454641242318986,1.1213050938688736,0.5646754074942918,0.5359051583814626,0.5200408112736021,0.49822182906532836,0.5522360502028609,0.6429682946448319,0.8287108948177042,0.6041131001122284,0.6185520694199319,0.552818830261435,0.5289947463954812,0.6597867462749871,0.5046529487851065,0.6006750333831881,0.5362745185881228,0.6595720384989013,0.5569973678255475,0.5105835293880916,0.48431786197938426,0.5503432512956147,0.543561529850733,0.511628040230699,0.4853488694305453,0.6781949323531322,0.5036531711378012,0.687682854438678,0.537155821338713,0.6071237087854515,0.9213696436104462,0.7158775859797706,0.8383872611153932,0.6994886817566098,0.7223777550282254,0.9049714620006634,0.7819161531586952,0.6113732791724279,0.5051444103153802,0.5841408556721024,0.5212077814117623,0.5426437167661345,0.5567050514326557,0.6086418002397697,0.7157381122128448,0.47563992705164515,0.47832594917621435,0.45129759642757616,0.49805345202678303,0.48535277216802647,0.49636666313724453,0.6428770126157648,0.6174041609954435,0.6611946501543144,0.6665120679093218,0.715515298116941,0.6765918647658072,0.7138959857471063,0.7020494729700972,0.7364229192284586,0.6823978740800929,0.6831505953321519,0.7734856254113537,0.7040611951278068,0.6145692726888612,0.5582853341510212,0.6906083057565131,0.7642778751147422,0.6895034313067085,0.5816950837620602,0.5902783485563837,0.5496809780031284,0.5361629001482779,0.540032939592681,0.5222279941942228,0.507472422171722,0.5888647459524012,0.5111792292684324,0.7457680366838373,1.3627905403390708,0.9556750516800872,0.5371643551584001,0.5073400388027511,0.5406017143312271,0.5197770439067423,0.5945359896239943,0.599193542998028,0.567124183970812,0.5956618939334544,0.5949459505597988,0.649869889981169,0.7732605312702693,0.7197172262110448,0.8086552591946832,0.865085845387608,0.8001657632829025,0.7158914067987366,0.6759794530860338,0.6518699313394701,0.6559945857535239,0.5864990806031722,0.6295216846046882,0.585152671057334,0.7268837758027193,0.6025937396475392,0.5923882606434194,0.6661488592074608,0.6879075391879167,0.7024601346232049,0.7377420154370179,0.6760212599838028,0.706273371188534,0.757541907999373,0.7811610421380197,1.0080220154304718,0.8318376214485734,0.9028434019048882,0.7197999533739585,0.8040597426022578,0.8406104055232179,0.7943668972572209,0.7955681036305841,0.7019078820232482,0.6468974155997864,0.6730052762926652,0.6907999506612497,0.6977887629319922,0.6904695390657833,0.6645198969281455,0.7123463850273706,0.7227711278570712,0.740928793043069,0.7544650214649716,0.7667810822165757,0.7446574719103164,0.741835400458371,0.7808795745623125,0.7995414941793152,0.8580745622081789,0.7837560481787863,0.8444051850705023,0.8217930125172128,0.9258897911950181,0.8320094912179683,0.8051329782182928,0.8067929769793698,0.8012871903930778,1.0731901662247993,0.9826365306519889,1.2379417023386914,1.1975989137304648,0.7932968340626759,0.8358918734228709,0.8274101516998732,0.8190629290160032,0.7398088214773441,0.9439228993921465,0.9567033752760945,1.1520638384291695,0.9227259900506278,0.8889031567587097,1.026584400041278,0.8648150103841721,0.9432083803048873,0.7385300898442787,0.684152530523443,0.7285685704608065,0.8046347326022796,0.8285697789910896,0.9172786920305201,0.8832283286228662,0.7878572781903975,0.7544619218913821,0.8701661440920683,0.849774139930395,0.7669545672522186,0.7753831605761823,0.8380098259443997,0.7440077234268786,0.7849590324317706,0.8806234193185063,0.9785791050746048,0.8617497098391389,0.8935220028562773,0.8289209457505805,0.7902033298075737,0.7842080913901983,0.8128209139591455,0.7725687063505777,0.7821519236317217,0.8298384323731017,0.8086328723658215,0.8305743324894895,0.792166532309496,0.8125267792647581,0.9688981053453197,0.8474817493025827,0.8309458934113859,0.8692517732463371,0.9104507733099778,0.912425162069653,0.8481568559991511,1.0083213176670398,1.0102787954970365,1.2032474961145279,0.8721949559763232,0.7384493710931498,0.7137900713253938,0.807280572425198,0.7882950243896251,0.8671065602869582,0.910451481041671,0.7490809351034148,0.6845234905243283,0.6612168468035434,0.677125213495785,0.637202545700751,0.8507403851885903,0.9414187593073643,0.9588161686051309,0.9624172280829612,0.834957297773118,1.008394104833417,1.0827273943776252,0.7259241695778988,1.1867739006343145,0.9119446484256338,1.6804392486496407,1.988464579870679,2.2125848573342948],[0.43521335154976387,0.3891439897090701,0.47426186784449365,0.4969945507548164,0.6494501241369416,0.5985498549747907,0.6901926533706607,0.6088739247927915,0.5988088021379068,0.6991682648612394,0.6643397622419983,0.6804179580833056,0.7550747440024589,0.7477273852462024,0.7738012417926675,0.8069076136242217,0.8625550527816687,0.8662160417585729,0.9631611837472124,0.8734210519633386,0.8821049460445592,0.9273264253356908,1.0784774829684542,1.1257718417913245,1.0228142752949736,0.9408559921859909,0.9102362006372204,0.8597977195406837,0.8808356982314045,0.7896602123066171,0.8077095712790053,0.7660088299154062,0.7342435830288891,0.791617451935611,0.7831135286656857,0.7841865425675058,0.8380180962220687,0.873936218617205,0.8752288792018053,0.9704418805198416,1.013314725995058,1.0160916424045046,1.0139072882856226,1.2432277947224009,1.4913709526707792,1.7846919554977645,1.8388259311123647,1.3924590320593178,1.2462525704709377,1.3347146406684716,1.2465316254537662,1.1716964487847978,1.0835413736457757,0.9824143497852654,1.193675718628283,0.934427238898377,0.9496244915072107,1.0671339671795002,1.0267696196461336,1.2706110387821823,1.0973853944218372,0.9437478443709678,0.8376382300180173,0.8757591696455539,0.899415103001861,0.8479619577748679,0.9257718357236638,0.8983768588782238,0.9949626686850322,0.9045295214959869,1.0573831959519016,1.2412156167843829,0.9879929871231713,1.1247504313366978,0.8419683955745517,1.3251067040851265,0.859942882492709,0.8304037691234902,0.812306241480835,0.8644279190564131,0.8761621653055188,0.9288513388752191,0.9037220187979532,0.8440709212596116,0.930918023914287,0.8596260354709486,0.8435358464548878,0.9524500196241884,0.8315038910161694,0.8859995116348197,0.7928594216052799,0.9660248263887323,0.8514874926339833,0.7617969386061951,0.7553377740215146,0.7825093352950209,0.7828189378328533,0.7329620239460768,0.6814977850136436,0.7503506301372662,0.6953479910367976,0.8561164865064361,0.7684933531318984,0.7773541172238196,1.0261238368442234,0.910549509276012,0.9869418982724621,0.9566214863595182,0.9387620455831921,1.0313712588690818,1.077437205248504,0.8845236946468346,0.742243308130209,0.8093940004310869,0.7929739314729157,0.8666525801684696,0.9050953990196074,0.9383404761821531,1.0100245071607594,0.823036481523315,0.8128572584750184,0.813469825092622,0.8373370227070862,0.814457973689282,0.7819798341860017,0.897236299806063,0.8228897746118817,0.882842061065417,0.8802500805128445,0.9244578424596421,0.885383703775508,0.9209837202134943,0.9667482031408405,0.9581928233565722,0.9594207762019288,0.9558778952425505,1.0581078636442225,0.998481644817181,0.9083119730535202,0.8726679336189835,1.0304422597953011,1.0349008840377483,0.9735318618858275,0.8902274177598207,0.9006927923061059,0.8472664950720536,0.8514989800639751,0.8100682271295491,0.7558340570374769,0.7181427672699937,0.6622700083565054,0.6381762881527494,0.7583874909094109,1.2266498899215657,0.8890555638025922,0.6502937423396076,0.6695698091958588,0.6891400727669336,0.7213114553254559,0.78410190933031,0.866868358263434,0.8571456518698678,0.9289841613873709,0.9337437281538553,0.9986278255819674,0.9607120334134454,1.053000500002078,1.132129464862646,1.149823608269693,1.1323516053995049,1.0325053852256072,0.9899637407422843,0.9578484876129923,0.9474298315457148,0.8745332305230668,0.8594647641169275,0.8518301385302317,0.9043387419730203,0.8673105644749525,0.8304265149352043,0.9552546715136871,0.9500236687505768,0.972544545675119,1.0153707877751168,0.9925285842804893,1.0416965096726958,1.1346413295826647,1.0913279118670878,1.3244852434955272,1.1344581546983725,1.1576232638073354,0.9958099162982184,1.0283594949089927,1.028613080025401,0.9916980377542202,1.0179055035962534,0.9392602864738966,0.8062011250900853,0.8016765076123262,0.8257905592381741,0.7292375797774064,0.7146734844951601,0.7518080809711648,0.7331368484156086,0.7019569958494903,0.7363231666841137,0.7105278083981467,0.6986993508324211,0.6826195318241443,0.6924005278179852,0.6960457019148797,0.735039026006959,0.8050664119169147,0.7804842940794072,0.8663415585001996,0.791214044998816,0.8955603808616021,0.7624401405833142,0.7094912046103626,0.7202683685313424,0.7309647277671683,1.01374013790293,0.9003868295941521,1.1443240968251343,1.1944191780234745,0.8083471957730709,0.8360939711075931,0.7921230224328076,0.8502336831196042,0.7246569665492943,0.9346884217061711,0.9335892250635396,1.126448035627852,0.9488562527416359,0.9210405977098652,1.0788244167666095,0.9235555961915761,1.018950163466467,0.8089078481873245,0.8519127887248491,0.8199331473561979,0.7860285711755359,0.8052615161681087,0.9387080299320744,0.8709002459450568,0.8213610131055715,0.7529255743277221,0.8758822551892671,0.866225737901981,0.7509018077610478,0.7499382980817231,0.8307847511338389,0.732110547773486,0.7423240646188276,0.8170916531630438,0.9693004881166478,0.793965667384147,0.8267660291471773,0.7622721802192153,0.7241008893117481,0.7273265058776492,0.7575010743613693,0.7001579935264338,0.702741615505101,0.7666609376785215,0.7487995552012187,0.7571124650680351,0.7609260010361546,0.7771064880202204,0.9072204951677701,0.78423285349378,0.8378868076250401,0.7988479641042271,0.8571647676758296,0.8524411541234337,0.7845268091782045,0.9432743036435909,0.9806972111850816,1.1068551605756238,0.8253509061125254,0.6674035115017835,0.6568448946065581,0.7549065032302072,0.7754707826328112,0.842287658928358,0.921427478211996,0.7524937820910493,0.7773316848445546,0.8147018420705713,0.8927206740051157,0.711372351899291,0.9477364718345443,0.8828659260606255,0.9025106786939857,1.0611778455327392,0.6948537327326729,0.8021937638790867,1.0576895531062744,0.6350791233185975,0.9095522931158525,0.7156496506084469,1.1592585596034892,1.4049317131102268,2.1511849104634164],[0.24541119076967335,0.29453254789129135,0.47496168032399283,0.3910111311790295,0.4481317193134204,0.442669889625711,0.35663101356210497,0.3947481903272835,0.4067241168090875,0.36945947963076414,0.39340407454903303,0.5190680866102723,0.4118021303846037,0.3925700312954784,0.46290099970878246,0.4548422259661893,0.4628732502957368,0.4616383265548856,0.5196233640080477,0.42681844955302517,0.4747836444367286,0.534673192152736,0.6248772999816378,0.7976861362663016,0.6441919547331968,0.5621287405395101,0.4343059247011548,0.3970271846112371,0.44468335206078274,0.4240554079245564,0.4626266583023785,0.4418502149503901,0.44602117089477017,0.47105420757000055,0.4218831088691552,0.4092329697214043,0.4401885591949006,0.44289269325878666,0.416774768862078,0.4437569653583188,0.5227740250663038,0.5359146918728398,0.5193370383400215,0.7400036787670425,1.039762885776828,1.421877522672212,1.4338058983073658,0.8968984908973128,0.768028833545264,0.8544304536300402,0.7912778625280855,0.6625093447413654,0.6097172766137667,0.546311636774859,0.9729864608807275,0.5255225132152871,0.5771670110958681,0.6777348660015219,0.7135516600452955,0.9817209136541475,0.6901650416248333,0.550459598658521,0.4456364845375978,0.5179489488751539,0.5103221548011116,0.4711996502539177,0.6382881261319534,0.4986857299025847,0.6412193281351999,0.5685207775220632,0.7756571541122259,1.0446417256867282,0.7220503896438145,0.7997068656719862,0.5273981542817597,0.9504390728203693,0.4554969962588527,0.4507886383467227,0.4563142169884249,0.46279943371523863,0.474424310540869,0.5027927296624382,0.7460117774548596,0.4797501118897806,0.45343259808026476,0.42837694751180844,0.41083991507662415,0.5743440392464402,0.4258054073457618,0.5222458078997992,0.4542988697685204,0.5855797156183901,0.4993153929253247,0.47547714994696155,0.4656330140116331,0.5462683056364617,0.5740600487611252,0.498266807851028,0.4780074916589196,0.6795227555285627,0.47494777577730646,0.6646359952330116,0.4929950586046425,0.5419487765305717,0.7617191027459672,0.5837192157292335,0.7206393753601624,0.5746227527374612,0.5761668003789243,0.7288453717650956,0.6191503966071781,0.43733095433912844,0.37423330809037486,0.3977282780238885,0.4030151765462363,0.41583126119162866,0.437585166958264,0.4588073778674924,0.5362419257770417,0.41738137261013225,0.4045209908852593,0.3958521922850654,0.4045658589371528,0.369897153888168,0.36948793837546695,0.44741338456095225,0.4396257560195892,0.46808597054633894,0.4931265124056562,0.5270332198989195,0.4892835625140284,0.5592365147766692,0.5203700191492384,0.5655169078881234,0.5076717965640618,0.4975315350476258,0.6058390687234675,0.5085162422208868,0.4871805492089762,0.44242118001051806,0.5384618603935726,0.584677421987519,0.5236209369705209,0.4434392722968,0.4323005956846605,0.4131556865633996,0.4133077395293149,0.39836185967599697,0.3898252704313439,0.390402779699693,0.5070049001440593,0.49126131299457554,0.746596133165831,1.3467952512576098,0.8988627527784516,0.5416587102659648,0.46541314402716255,0.49327327866425624,0.43508280731608184,0.47784695074227,0.419332373523705,0.43953488944258695,0.43192805067135065,0.43059561304944355,0.49055722013636166,0.5982441724049983,0.5469326312116628,0.6431483260736782,0.7090921802286005,0.6623557666532032,0.5363239508754737,0.49026784939201695,0.4857297297946501,0.5007856557693104,0.41745716415928225,0.4783133229543754,0.4666780071566908,0.6203412634048263,0.44232384196536084,0.48138669847656346,0.4952127993654454,0.517469286563324,0.5393998070856298,0.5995247374652501,0.536593557921028,0.5583938999443497,0.590516956947125,0.6496104896065484,0.8809628938744675,0.6789877046885602,0.7438705333309662,0.5931483061585449,0.6513300606206126,0.6633202342517348,0.6024495382750065,0.5830079781907797,0.5153487639177875,0.502323830761027,0.5228142463002906,0.5681919925883059,0.5627283658502098,0.5601272219719173,0.5290343611901953,0.5648540731555135,0.5852001289592892,0.602542105165183,0.6122014627627745,0.6211727210863122,0.6003032502809977,0.6007369056056531,0.6277054600647342,0.6236312170281313,0.7099567101828016,0.6206562949031602,0.6469109568344105,0.7017989790760821,0.7603611372477268,0.685514885187618,0.6588544927871333,0.6380586152216031,0.6429763481825507,1.033487721689997,0.8233562749925247,1.1790378802429986,1.0838796091732812,0.706263260474834,0.8091509205118015,0.7661126123975841,0.7097609243773206,0.6175824668622161,0.790777182625921,0.7884381016710801,1.0219223716062915,0.7772011081880782,0.8076900469268198,0.9125349416709208,0.7618405089570731,0.8755450875390222,0.6262545080508976,0.5828747644711667,0.5976560993083415,0.6705946179436114,0.7054276935754709,0.8742537379014824,0.7626493848048834,0.6681495303293438,0.6432465443161978,0.7583179544056343,0.7261607073114983,0.6399364035663009,0.661104545025441,0.7416555059947253,0.6310899765174592,0.6500616460690053,0.7487916891689348,0.8622137757838346,0.7096637769597511,0.7287999475481572,0.6559092805706128,0.6293173650678063,0.6524746725216579,0.669128742508188,0.6254830095785637,0.6338092994483763,0.6933114104079858,0.6601068050097636,0.6883718057888645,0.6577824888375478,0.6670419842374694,0.8449489673638041,0.7253708444108781,0.7096678368355139,0.7360389295885258,0.7791454969731771,0.7644935393227024,0.7147733311716951,0.8357666949886493,0.9098776741110686,1.021214441054954,0.7578096647173825,0.6299111834641609,0.5819624348315424,0.807491678535115,0.7204999504615948,0.7629192061638497,0.8328437779945417,0.649438673721222,0.5358190473185968,0.5036580872785933,0.49200775506972055,0.5186761001495955,0.6687666473608125,0.7464603207582314,0.762668215330634,0.7427148801569945,0.636396472105686,0.8043163985042556,0.7808415282514329,0.49057774750948563,1.0417243336172435,0.7734011350421401,1.308320594482215,1.5748535563608612,2.026973543305257],[0.24543966237999199,0.19407424429915343,0.31814663259005516,0.22201140921145074,0.2424661742822637,0.4193869697564511,0.4055502344293174,0.43776825862694996,0.46087275735377264,0.4457572643943545,0.4710865068221877,0.5880482369596485,0.4780653076662842,0.45925905216701246,0.5277737782559401,0.5310458011069775,0.5333796674725387,0.536425233729262,0.5858458903563216,0.4962497357332784,0.508005005909723,0.5450079733405897,0.6512513017005287,0.7162165019759872,0.6470984040336442,0.5551099224477308,0.468181591880943,0.46951396011587665,0.5343994050076177,0.49481205445896337,0.5498021607963727,0.5089993837020104,0.5182768377691191,0.5429176444321009,0.5000892001846612,0.482971414959522,0.5065047549255692,0.5133662942988501,0.4927855616240276,0.489522902205474,0.5556302560588166,0.5853538848587506,0.5453699249421124,0.712026886585485,1.0137971197195048,1.4522024233666417,1.3967616344650928,0.8519908058653072,0.7628079471073295,0.8414693674470709,0.7947342716681859,0.6534440751077405,0.6092729356526753,0.5318227335317844,0.9555222033151378,0.5397307083882833,0.5925784313079304,0.6585891813160519,0.7395338270044206,0.897280897461516,0.7103991372542006,0.622671042204385,0.5061456933583739,0.5391653900902164,0.5393835614279695,0.5069938309121274,0.6727569959763642,0.5828348004697902,0.6885287106709362,0.6396848765622879,0.8423016989139503,1.1217602301194798,0.8050037256931283,0.8033082095357643,0.5925758461273178,0.9349597866515351,0.5111573610829515,0.5277875313609853,0.543616350481466,0.5115081605356969,0.5529192950211997,0.5550848060373501,0.7789926516069438,0.49651868716500713,0.47529771898141876,0.48921106937683745,0.49746317947621127,0.6011625856087981,0.48918778780035344,0.6109661102231243,0.5385040773570978,0.5703501888598628,0.5584256473091094,0.554629100642956,0.5539942288579396,0.6267876621724909,0.6582844129880154,0.5833140514776547,0.5574949946434681,0.7280255717057874,0.525875184734205,0.6899701778684818,0.5600235322687164,0.5741426966591658,0.7280709100803046,0.5515753706394811,0.7071214330497297,0.5755773821453006,0.5815786370917718,0.7275513507151985,0.6342321557562142,0.45339269664141724,0.41596040631297543,0.4437345477808634,0.46438034519728505,0.4710086850239439,0.49972488847456636,0.5048059593155682,0.5453846318313988,0.5353456588290019,0.49792098320663297,0.4996300636212159,0.4816150604177437,0.45290832583520874,0.45078258149452155,0.4731851620970054,0.43234081671096186,0.46628587085451545,0.4698155830404378,0.5010348172825452,0.4563692883784176,0.5313846545737476,0.49187059876112865,0.5664851861445395,0.49930196518386905,0.507230596047342,0.6472700159768938,0.549697304402426,0.5789859282458669,0.527950502811977,0.5498991663784111,0.6073964901088589,0.553244168034507,0.502478072892776,0.47682618821058126,0.4608426780343067,0.46652076114237545,0.4504959606029115,0.4291843566031283,0.43638151979701323,0.5128905213139484,0.5228729415412668,0.7720055053188213,1.3331714406767252,0.8879682686999328,0.5814912754773146,0.51786449557952,0.5368381295066554,0.48430328910609394,0.5212084575042223,0.44997909810070347,0.4752453244257229,0.4728709422394157,0.46308639630796805,0.5161702212101802,0.6137720297272937,0.5611375518667983,0.6526948344146531,0.7034426141906682,0.6714495420508263,0.5436379855738107,0.5145064013821259,0.49639575040286665,0.5116851294382536,0.44938766141796593,0.48146930688344974,0.5138595322095669,0.6734653291501166,0.4586929228888181,0.4847915612834585,0.5064533961367645,0.5121581802047606,0.530393824111047,0.5549828570833302,0.5279304145277673,0.5470402931522338,0.6029116023896793,0.611927428422232,0.8856418969821597,0.6710322560962372,0.717511921657534,0.6064619594176296,0.6172234528894371,0.6063309258912207,0.5495444421053155,0.5499915354461117,0.523243502926499,0.46689599608859217,0.47765594435553493,0.5039540567926546,0.5142002721320668,0.5379958719597006,0.48593161379558464,0.5420622736058853,0.5877096455948858,0.6021751398421523,0.5666113567485226,0.5773662970044183,0.594342341328175,0.5764154571694484,0.6034378757447757,0.5954420914593643,0.6831900533449546,0.60234100910606,0.5785743463212917,0.6620378606770384,0.7392536043673426,0.6155999428669333,0.6316552512407322,0.6043695258617666,0.6174123610815676,1.0745858015062468,0.8017249906493494,1.2744519718215381,1.1698364477032164,0.7582609187196349,0.7901490752308223,0.7982387523907528,0.58460704821107,0.6085162781130536,0.7674409162011474,0.7623644631991523,1.0183277656380394,0.743549765422925,0.7614471632009148,0.838695127324158,0.7317790064514652,0.7907619074256255,0.5811663457199515,0.6005014066450479,0.6222001344042967,0.6603554705335335,0.6977044538228608,0.9051075753703932,0.7777233592572225,0.6772450333408618,0.6463466305614117,0.8049312749974887,0.7365356784022443,0.6578541423482641,0.675597725598457,0.7472756616613704,0.64197456899242,0.6510850197418079,0.7469709099622843,0.8557534649717561,0.6943621881053053,0.7096878333680662,0.6465549806932378,0.6252049226992622,0.6565333400068506,0.6794434220318608,0.600801620114937,0.6261689231620843,0.7222252808341092,0.6597485909969343,0.6986430529188096,0.6453305065921013,0.6635429467319195,0.8028153555682871,0.6715165974855632,0.6611876734915242,0.7085034163868246,0.7342302242881295,0.7000915808730904,0.6573935994624143,0.7505921475956341,0.8552883011639921,0.9498146176317613,0.6924451474880069,0.580624249399363,0.5681355905628062,0.8075890844688319,0.7016269735153643,0.7058601620786504,0.8079711497646388,0.6256558970177322,0.4470177369353651,0.4611123954500269,0.4436882550583097,0.4101068662582217,0.7176322498907406,0.8873474475451918,0.8408168206618861,0.7726431290951619,0.7900609144866991,0.8895967981570821,0.7201704084108597,0.5177000259477439,1.1937527848333473,0.8004329049109505,1.374804575779528,1.620589411455642,1.904600705632472],[0.39438530423876805,0.2957746866746965,0.4148149635421778,0.23820094788292379,0.28300647083897607,0.3825349994410627,0.34359546004068875,0.43051665084172086,0.41160057728900035,0.3658337133457535,0.41498345438121087,0.5802566455319074,0.4063931489235985,0.3771963180326876,0.498630067648634,0.4731538823696996,0.46402153731102314,0.4602454257817927,0.4774410356327283,0.41932452093634637,0.43036459793573123,0.4819276647355458,0.5818030850337311,0.6717505850946389,0.6010967246747103,0.48449488446661776,0.4110521977601299,0.3954502360291197,0.4618406170002765,0.45579710124378714,0.5090756659925606,0.4934098420406405,0.5205935444345028,0.540458849632339,0.4853913214556302,0.450247707040072,0.48404701284181806,0.4498387369149376,0.42855672876731443,0.4361821644446545,0.48443772591377027,0.517294046914911,0.47776484244787487,0.6568614663477552,0.944869362885034,1.3966531951071224,1.3636709786711203,0.8187370353561821,0.7160578113369673,0.8047473148659433,0.7698855651292161,0.633264827336215,0.5652577288563881,0.4841963327871991,0.9084477260985262,0.4819764578339139,0.554179855261778,0.5844673867291119,0.6716646064513634,0.8715011844538044,0.6368217711128917,0.5903782197679371,0.47517638658289957,0.520954624141943,0.4780788597888057,0.46722028860657233,0.6286310935330206,0.518938021564031,0.6328338733874094,0.5674552016024513,0.7772018527675518,1.0916481485578016,0.7549226304173888,0.768887511302929,0.5538350291721829,0.9396196366426706,0.4745703222006701,0.5021109155210828,0.5100414879785006,0.47274133555959996,0.5417619892688043,0.5332773743830097,0.7535391739266066,0.46918076796743713,0.45097934402669704,0.44983381565058556,0.4556712342099116,0.6013113352210503,0.4537832008674251,0.6028109010258494,0.49839977457295814,0.579307760638167,0.5443746238438488,0.5567834120467244,0.5393134003496584,0.6198317576670233,0.6432961798766884,0.5804987258306168,0.5553852060874516,0.7299990917296637,0.5462341173815338,0.6900479077660856,0.5460921646119401,0.5551551095931824,0.7277636758871314,0.5771351226535915,0.7599864866643108,0.611738060206147,0.6248398474430501,0.7948789808843889,0.6544759086158914,0.4393376230128811,0.36839272874481854,0.387246490605645,0.3891154190392123,0.36286903484834515,0.3952288466656927,0.367826324108467,0.4484445520135939,0.4701481469166014,0.39697663609696865,0.393018969020807,0.3611620013718232,0.3334804614484602,0.3526824153947868,0.4266609783846414,0.42349047946048923,0.44969093652961806,0.46678719093531873,0.5084237564914628,0.47901183964802885,0.5726252253619697,0.5075221464234785,0.5841909354243959,0.48465872735498483,0.4694910490490469,0.6264088337170262,0.4836234823583953,0.48173605073493836,0.4245097274471159,0.43615134619448753,0.5172839571972911,0.4517829356631186,0.3808559805546614,0.3780703606973016,0.3907901361271479,0.3780508983082671,0.4140385651355615,0.39526000419364904,0.41558105915529425,0.4867269572665492,0.5247033423232957,0.7888633323947075,1.3647455702370772,0.8973730897398852,0.5914595561388883,0.5160214170090209,0.5205426129056523,0.4496449160579047,0.4972485626349086,0.4173305453942873,0.4304901615903332,0.40479482345635953,0.408387693546107,0.4643430483658872,0.5536628880395128,0.5091424672304169,0.6011813268633426,0.6712511138343883,0.6127149968706304,0.5053582514605037,0.44757878246580113,0.45129444851843026,0.4704380775964556,0.41363418270084185,0.47213429946198915,0.4858169174193376,0.6621127049894479,0.44415422453643527,0.487095700888553,0.48017302103988274,0.49056474778095494,0.517091702714411,0.53996353761249,0.5028349564639301,0.5263385089845101,0.564344052066578,0.5845559486003736,0.8493050073764925,0.6444558204673759,0.6920943747794521,0.562707033691377,0.5880793951018732,0.5924303168014541,0.5530015482537581,0.5744160419116382,0.5515220154282253,0.515365076483987,0.5257532778764357,0.5442216718400995,0.6143928306402375,0.6414263133434885,0.5539876765763644,0.6429853098626372,0.7325286730035704,0.732536790554305,0.6704637306095379,0.7375372719586484,0.7995773647814737,0.7596653228227909,0.8182222124924041,0.8595591907926818,0.9181814203293999,0.8858644458953149,0.88073964373109,0.8914084290161457,0.9821840338415926,0.8125182637054391,0.8355632414680328,0.8507009236591021,0.8287779589229282,1.1268377577131468,1.0463846564660526,1.4419745028886635,1.3357186981318576,0.9115806008970484,0.8427764127272076,0.8882658400136613,0.6777161428625349,0.7721129856471258,0.8904643390728958,0.9002553917175362,1.1638690030794285,0.8534856866653725,0.8153647496395263,0.9249401682395563,0.8078198893513265,0.8077209773873913,0.6416439543953053,0.6717025743779064,0.7216477895110138,0.782842476396154,0.8214093270057347,1.0212989684010891,0.8957505719529146,0.7989413557488342,0.7996781868075353,0.9762939305376668,0.8650003447379637,0.8053317161762166,0.8429999711734029,0.8930854507899303,0.822300770645575,0.8704295227820839,0.952157111054842,1.014088137825154,0.9389678824441958,0.9582328288666904,0.8936999293290575,0.8604949790358593,0.859430298118977,0.8744967578358798,0.8192806090098425,0.8288108947064671,0.9131324705896814,0.8593232806906491,0.891753061711287,0.7868392564486609,0.831061058680121,0.9666129654955586,0.801737487453993,0.7769881524034703,0.8435030987816905,0.8701181246867584,0.7998477824175039,0.7591735030054274,0.8625787483665571,0.9113587610861765,1.150315382408412,0.8134272521622011,0.7096669897696625,0.6956750270977702,0.8592084643638465,0.7590844010529024,0.7618638625953699,0.8480664429782286,0.6851655662936897,0.4748351423793972,0.49731818391488164,0.4526436836389758,0.4327615519049154,0.8437220152920735,1.117718388177103,1.045185612480619,0.8718333556661225,1.070511709989725,1.138368450343229,0.8505431138865416,0.7530554874796294,1.445134795707287,0.8797590426161702,1.9156424930291571,2.3119221309439904,2.202656473896266],[0.41521940466739915,0.31435615006840933,0.5441672338700033,0.32630281841391934,0.32416969614304353,0.4953230207236077,0.5375340207783447,0.737872826041752,0.7069848950544615,0.6551514889628484,0.7399078304131376,0.9153993115594369,0.7431535672105024,0.6658511226710928,0.8245743343967737,0.7935718013262394,0.7367121531594936,0.7324326429505481,0.6775805893069298,0.7058496818293761,0.6911123701003439,0.7344071710786949,0.7545179300775423,0.7793324278469528,0.8263841751066365,0.6603584173880847,0.6807337009230969,0.6770103904514878,0.7387336233158943,0.7874246314427574,0.8423684705481623,0.866764460526095,0.9169392887463366,0.9180736333782206,0.8583160607614982,0.8002677841126206,0.8060780579139536,0.7703653696582371,0.7163091300779095,0.6727843259777683,0.6940940001823428,0.7206103314953652,0.7170428297835926,0.7135766342652202,0.9617679675349728,1.4170916975824062,1.3257893836019043,0.7662808489278359,0.7569104122746838,0.8239908754805825,0.8644061409021224,0.6963914999829142,0.7526061847020135,0.693444684121939,1.0868023073382467,0.7662929346074268,0.821706737737627,0.8282367512960656,0.9353443339539291,0.9991881742603166,0.8465834506380014,0.8736788826215902,0.8139180286225347,0.8206704104717347,0.7546515371601283,0.7772742888076664,0.8900985456453038,0.7819456252831704,0.8191702029671643,0.8015376424581276,0.9573370004715541,1.2354621408492106,0.9602471809965238,0.912605265515604,0.8876927315355142,0.9336549598167009,0.7921615701183712,0.8498418878461605,0.8709971771135983,0.8214065018361772,0.8669032305425037,0.8025882831828423,1.0033693640808423,0.7297108046649929,0.6686212261198751,0.7418588364414446,0.7828070712596837,0.8477663855748371,0.7957647847876895,0.95022390640718,0.8738655158691755,0.865363702927343,0.9164108801970997,0.9630114616353489,0.9244658474369796,0.998930561807034,1.0189182195727962,0.9869129516433677,0.9712893101281495,1.1067982835743688,0.9277124774263584,0.952902507760688,0.8716936858870865,0.812171829613735,0.9159959562496746,0.6980652208507703,0.8164612216268364,0.6920919541980121,0.6869711446796818,0.769881404785476,0.6261888233950779,0.5660999923563114,0.6143538579158848,0.5828109789898386,0.6273313044950961,0.5402802705234028,0.599165781606213,0.5334995954934676,0.6048972686764975,0.7343388672141625,0.6383202407506219,0.6297087858487667,0.5161686365702943,0.5019617706753067,0.5199803851795813,0.46340854350668353,0.4823535272300518,0.5222273355958663,0.5556802090083022,0.5926305687481547,0.5620616002023279,0.6533766926260925,0.592678904473287,0.6745264761964771,0.5692914069450872,0.5595508090728868,0.6851873911700699,0.5251498076071234,0.6088619298262817,0.6000595399882677,0.48945532371207556,0.6193869971011928,0.5884281659610644,0.5757693181298186,0.5990430585843858,0.6586544730101187,0.6286890339885868,0.6845271405488746,0.6672912934153492,0.6899077488694679,0.7859162573495407,0.8754871316082563,1.1363003553870223,1.5115516582904067,1.1605494964857632,0.992892227244174,0.88124896339154,0.8709124262462442,0.7977795737732643,0.7601670047868248,0.6154442350495963,0.6761934510419719,0.5644665174368643,0.5973714502643548,0.5778750084003806,0.6344935050573922,0.5635811184021114,0.613831774210475,0.6761729936214173,0.6327054395097711,0.5397369686628244,0.5240660017805397,0.5811270367312313,0.6420988991904727,0.6557044749664176,0.724948401437298,0.7791583542217362,0.9237982502442753,0.6959173280003779,0.7523829733237354,0.6381795384795256,0.653631262630457,0.6355686266540662,0.6450266132586161,0.6352119884645429,0.6475071165093859,0.6675450296450265,0.695589252242268,0.8751085158944114,0.6998935785670852,0.7249895847697525,0.6514749246359525,0.6563661419674593,0.6565995751361139,0.629840689140138,0.6724960789955204,0.6691444266502754,0.6719301629562507,0.6728615365545432,0.6321722602627966,0.8005718067679137,0.7965071228063196,0.6702881824116246,0.8210577104678609,0.9525690095041857,0.8705248408973308,0.8506498545327219,1.018211148375261,1.0870604933369723,0.9946260365087317,1.154590124349741,1.275607113237089,1.2493225997569841,1.3251131916680123,1.366670643158029,1.3062852477042894,1.4148886148707236,1.23098100481688,1.215631845935191,1.2802818204151543,1.2470924352666375,1.3962078242168974,1.4565882094182567,1.7582695088660434,1.5870305747715936,1.1936009701909824,1.0208491311943375,1.1009723850331783,0.946338508286543,1.1078232205580525,1.113284905615673,1.1542807156284054,1.4306040021128519,1.0837688439764475,1.0299545061790563,1.15277230092281,1.029627716252196,0.872119240269567,0.8174821006911906,0.8333415228174113,0.8935727815121385,0.9755833238483135,0.982440903515981,1.2215156093412154,1.0124835141693798,0.9484512269472448,1.008985898736765,1.1247303675454103,0.9939746617330586,0.9882147313241691,1.018977995648941,1.0210870868211661,1.035952756697753,1.1458269432050663,1.1742560672753333,1.2129829296121737,1.2883371174950702,1.301910928089999,1.2608446269333349,1.1932305647222143,1.147963081271046,1.1622547252635693,1.1883250873584017,1.158954206585101,1.23799971033251,1.2257132626587037,1.2647419883260325,1.0881521005164947,1.1922876189681688,1.3174774737548824,1.1079176647426217,1.048190493261641,1.2172423000355526,1.2235448875896564,1.0872707860158175,1.0466455753706374,1.1393750579779298,1.1057220228395932,1.4338099567632323,1.0839404635329348,1.007877589363571,0.9475000816975433,1.049778261012647,0.9456844016259894,0.9536914339321875,1.011686688287649,0.8933233939430338,0.5731818806653255,0.6112701306998853,0.4944950197345563,0.5272903432662451,0.8032619502665294,1.1324420820684906,1.0043850323705212,0.6707111553565592,1.0777829872382532,0.8028080786170354,0.7231783043442933,0.5004032504834777,1.0674519222387513,0.5018484612940912,1.8113461168606197,2.2843104617806107,2.3236980724228506],[0.588688726558198,0.5185667347447649,0.6934323195649381,0.4011667836537786,0.43709299752558584,0.5287227212344142,0.47427511195086447,0.6614149784517236,0.5347280037884005,0.4742869180399758,0.5804096084803494,0.8132294894689404,0.6093821547886976,0.4920451068832403,0.7052957525700583,0.6741493175481049,0.5947985894440851,0.596544817961429,0.5300252704105161,0.5824515177219989,0.5732253962042155,0.6387520981956842,0.632552201727565,0.7258392210008766,0.6913796201100804,0.5736262598291454,0.5795368193310784,0.5597364636017926,0.6314434005759788,0.7051242579939738,0.7424379152233066,0.8302740863772783,0.917073098393288,0.9100049281587206,0.8316786781798942,0.7189770755726921,0.7788856883347545,0.6984519792550034,0.6464079133079476,0.653398147923834,0.6389995134394864,0.6675067344312114,0.6784840827556332,0.7362850697694272,0.9886558035515686,1.4338125420889967,1.3255538637720161,0.8444012119584917,0.7997052438054046,0.8931531272715593,0.9117117011503479,0.7113417413198077,0.7116030127817852,0.6315867409548702,1.0057594077598389,0.7058371265809134,0.7523855166098273,0.7872209311688096,0.9095340549449326,0.905225525952764,0.8113542947670142,0.7848146235642048,0.7466729539203034,0.7366491090347818,0.6465363845632874,0.6761694901231019,0.7665213361636732,0.6512899948510734,0.7072486085256348,0.6711525507934215,0.872190023921803,1.2005508045067799,0.8463208953981658,0.8042881565323925,0.7657273140258055,0.9445700993501362,0.6927199655426469,0.7988321878394811,0.8226926031801253,0.7835262048183247,0.8609651191105653,0.817295985499163,1.0704664108237425,0.7781180688540337,0.7083133018720242,0.7214459528986359,0.7242201085359553,0.8573314115130674,0.7331131215084842,0.9200448895116816,0.8063148534574961,0.8346465924411094,0.8623948843654293,0.9270622074955198,0.8459000589283583,0.9600114640317657,0.9180305978832631,0.9363288874326628,0.9189127480543763,1.1542929111361335,0.9261508336318263,1.007235709532114,0.9122501161802317,0.8998806374988315,1.0624937008792719,0.8731488060757739,1.099862760722942,0.9601284358331681,0.9485891569607819,1.0056044452364008,0.8507251491411731,0.6795327592559425,0.583117022663472,0.5516271555856751,0.5051140449733386,0.43964898241156813,0.48058364970687073,0.4084360000113261,0.4823020001499371,0.568782907193308,0.45972077654753934,0.4279873865736337,0.37074631033587524,0.3697043927690392,0.43116749110422725,0.5516118066593385,0.5950167534593317,0.6683983138075513,0.7388366882481353,0.7844170823471791,0.7861640316775065,0.8955532315373659,0.8003182897473755,0.8767797530933372,0.7334047010781116,0.6823736575488706,0.8353263991708323,0.6465848038649948,0.5753331036970128,0.5241343676719126,0.4880880683199714,0.5317968213505244,0.5026302408559344,0.4711426456956242,0.5187063150112152,0.564699627022683,0.5369760778920282,0.6061873117088973,0.6429728687854811,0.6453717426903267,0.789559904057684,0.8502722405925536,1.243202439201835,1.597624775397415,1.2437269906204262,1.0413948435091105,0.851191203231827,0.8881876177412685,0.7810609303667817,0.8105437413200316,0.6473470602190754,0.6491532747856383,0.548208341677017,0.6013958132756375,0.623217649281096,0.6508514208397226,0.6868634487377987,0.7575942698398683,0.8326023954558687,0.7636553438155399,0.695792526377083,0.6159555868923703,0.6298210852772189,0.7082469993168267,0.6897682713569873,0.7795177745423402,0.7786376646566469,0.9775727085206284,0.7448424552044925,0.8290438160630971,0.7404924291573146,0.7899667215641845,0.811647463643713,0.8095509007045877,0.7600914566926749,0.7264159673249404,0.7008280576369048,0.7321560906859967,0.9526274531245326,0.8015013915288042,0.8201123817861683,0.7468258048089047,0.7869022518093077,0.8007552711814853,0.8150660012908078,0.9103584136658706,0.8971422937394148,0.9336141932367295,0.9490044652237852,0.9013093882216463,1.0883134776005947,1.0798410170785877,0.9508103776738172,1.0786303526974188,1.220351055418578,1.130212798895205,1.0591518972776368,1.2421781289818634,1.3401947879674203,1.1916891338955216,1.3298713252658236,1.4532388350110113,1.3665992450370876,1.4355372089974632,1.5798022401491072,1.511235382122246,1.6429437201066543,1.4931322098913224,1.4506113439510315,1.5210859793980431,1.5007160857559991,1.523318463369939,1.7572589317301335,1.9357847567553959,1.7987876633383137,1.4729612808374475,1.291673881578816,1.3758048131354057,1.2514422852697646,1.4162034276556568,1.4035213120490357,1.4309550397813497,1.6926060407990657,1.3713355513039793,1.3307208168775595,1.425337496763713,1.2666759178195668,1.0717821137892378,1.0858271816820355,1.0976949409135814,1.190633780556679,1.272952886564072,1.2723922505228853,1.5098343547800095,1.299590452656671,1.2312434698046222,1.315012710484941,1.3828341109598103,1.2741956271714834,1.279212124226401,1.313625658198925,1.312719353564157,1.3108547298568884,1.4335251083408564,1.4636078199420213,1.4510687188735987,1.5341193791734604,1.5690983201903757,1.525621250803402,1.4779402420710301,1.4392134762186353,1.4303930177731687,1.4579256018977524,1.413511856510682,1.4996743469952958,1.4905095526852103,1.5112309882002246,1.3441482978061117,1.4776826123060256,1.558498539995816,1.354711686496931,1.2984798263200008,1.4594235730502367,1.4657972428611998,1.3528458839181676,1.2926124887141062,1.3911204885890354,1.3805816195818572,1.72657709608882,1.3456097983391633,1.2296149855267975,1.151250684863554,1.2703377667815785,1.1648722027661893,1.1800620595648839,1.1949903559629953,1.122107501825767,0.777048503664251,0.8553875937862405,0.7004051921689366,0.7320621126938228,1.0799501292561569,1.388327202880619,1.1905207678735887,0.9381558992232459,1.3507842326350419,1.0442923198971972,0.8252812745035485,0.7437504487736767,1.2270162378942933,0.7894013602014461,1.8630517148655101,2.9399667989461156,2.8188929585114133],[0.5178187089331499,0.3280506155048675,0.5373631793577247,0.2752083532210471,0.357953967177781,0.48136146490153536,0.45238683591137124,0.6308562806599418,0.5154996943510087,0.4764631220459262,0.5517419065434946,0.7454332103764157,0.5715148825496381,0.4906984722539457,0.6850836245740957,0.6398044903559479,0.5941087199604983,0.589260050289988,0.5377292905045669,0.5912046370573907,0.5929153628515811,0.6594756899428124,0.6406158553407616,0.7694308232456372,0.6870519507637619,0.6106787172073501,0.6126774977739665,0.5779524623156176,0.619526473814445,0.6744969369678446,0.6950975734465085,0.7471527959384476,0.809864817638815,0.8128768583121894,0.7612609627553696,0.6704039455397107,0.7272846015858997,0.6763125396519831,0.6439846303061835,0.6350283408477686,0.6317223532107383,0.6511826587775271,0.6673127535616175,0.703503996744581,0.9504926874894064,1.3848220322027482,1.3087662799620674,0.8019542304219909,0.7482905877570709,0.8041751502580337,0.8642007808677103,0.6806610297494629,0.7219190590284414,0.6519291921659744,1.0466617297282705,0.6908039910826209,0.7448503546863754,0.7650753091148951,0.8730311472711668,0.9471574318504657,0.7990454204420192,0.761741810127151,0.7066276225875758,0.7411545073746102,0.6427912193686576,0.6667278650745376,0.7531995345625315,0.6276481448034764,0.7042685847456716,0.6446298112802117,0.8495583367600038,1.2430097183885822,0.8321946769807398,0.8119824037919244,0.7312601166257804,1.0058509420298483,0.6521493408629229,0.7430856678108341,0.7626424554296194,0.7361684541248728,0.8158767298545971,0.8115586613399893,1.0416726883662606,0.7128206512836889,0.6618464386657297,0.7007042753175197,0.7129973862333775,0.8149941793162783,0.681954594032856,0.8553021269134816,0.7314720868950476,0.7641568767421903,0.7657131540025169,0.8186277790905706,0.7632516599232302,0.870642239049319,0.8585488862817342,0.8328842828419131,0.8234744897033096,1.0124246069492484,0.8265345262161007,0.8928598415313433,0.8169791627576919,0.8378907329497003,0.9932486503755754,0.8102215703424399,0.9863545605768014,0.8171139480081142,0.801775442777739,0.9321728100739979,0.7379872325081215,0.6056981101548848,0.5485970335791107,0.5521135684673166,0.5163231083943907,0.4405704069443349,0.5079633329077025,0.42398345098749834,0.5273693568780822,0.6123759933389035,0.49685824887430124,0.4603136209195981,0.383243723581294,0.37209461665831034,0.4244759229099733,0.4664623707884087,0.5135008708881115,0.5779827712523714,0.6044075407202105,0.6598448674012379,0.6274605848419977,0.7289475136701472,0.6439881285891482,0.7620592029649172,0.6047974530687209,0.5773487777702572,0.6865386167682073,0.5155694569691694,0.538306881050512,0.5198799397875877,0.45166641461451024,0.5331010790650612,0.521160257805883,0.4772552328722983,0.5331294149563964,0.5805865991198007,0.537709295928887,0.6048959515010873,0.6105847400419554,0.614773215516265,0.7318595793354232,0.7691005132690252,1.1127512951973053,1.5685011403538456,1.1322991552734738,0.9129968201326789,0.7660503125208507,0.8124188737664276,0.7169651596834391,0.751217161096422,0.604769025406776,0.6383046190223421,0.5283981148777115,0.5699279726329631,0.5552796511944876,0.6117333811239536,0.5666612869781275,0.6143332336104741,0.6771814910825801,0.6254901735344284,0.563812585404116,0.5194907627851454,0.5610489703303764,0.6496386107350152,0.6354875989887137,0.7369128731743348,0.7362122392232353,0.9644809143728686,0.7020221374627625,0.7698035267255353,0.6775615154468807,0.7042839819070866,0.6952399965332516,0.6923216264489204,0.6513303170953286,0.6519791714496708,0.6713170059034859,0.7039383736951063,0.8767109853244993,0.6990503199607729,0.7229861205348882,0.647154108567961,0.6659019961978843,0.6649061465101083,0.6657156157726777,0.6986288003209304,0.6772984361461001,0.7027722846089952,0.6830438382393487,0.6861164837839143,0.8450065338104251,0.8806042515892799,0.7334329860698873,0.8251038362236583,0.9925294708739298,0.9311043187959464,0.8259345896923601,0.9718880210245173,1.110121427032841,0.9685858690452711,1.055864020097083,1.1932224075332178,1.1742948814576628,1.1668568087967355,1.2393942445253676,1.168025469704978,1.3453214041608867,1.1021570829380263,1.1157456211214891,1.2047073924377143,1.1900790357441247,1.3836013319476737,1.4446476903202734,1.7704858027987296,1.6052231214810142,1.2677324894121802,1.1030419149916642,1.1804660370039697,0.9812001500599983,1.1218867626358477,1.1657212955110048,1.1636838894437547,1.3986802410947214,1.080645180259641,1.0706101176500733,1.096058094728357,0.9697875660762724,0.8883412515229476,0.8128751624234503,0.8867909208651493,0.98092670602515,1.0812270733152005,1.120160044256105,1.3936497966352375,1.189865540061607,1.0736755336482737,1.1648836557163835,1.3202921423397733,1.1574300621472,1.1245551104453173,1.19876288761349,1.2131790579603943,1.1625654433251118,1.2775882219543315,1.3509176801155127,1.3220250055888512,1.3419438297156743,1.3931197792814687,1.2974933380496898,1.2667495212757374,1.2277018175286514,1.2250542915358855,1.2181409745500622,1.148259920501125,1.2537076640726916,1.2004121224239033,1.2093909538101602,1.0444150456584864,1.148105852092627,1.2277707677120844,1.0027330044277996,0.9733113187510464,1.1102458469614447,1.1070390780647723,0.9713163137836803,0.9266713999964648,1.0216591661706547,1.0077366459418353,1.336701947136869,0.9595606893471392,0.8880709352309721,0.8497913765375987,0.9543336669371465,0.8631760559471818,0.8630914899875431,0.94125327578101,0.8342666363770093,0.5753782732298252,0.6461746220583534,0.5381696222926369,0.563116891513688,0.9924766212011048,1.4224719695697705,1.296440668151124,0.8959486913806837,1.367562761034464,1.3965710032264431,0.8495228175195437,0.817541845227403,1.6182838212757225,1.284597621888183,2.4343311541606485,3.749378976392644,3.054026416657433],[0.543890722082145,0.3368878914032473,0.4594210571910634,0.2569529640539042,0.32338196814594006,0.423267381974872,0.34241942511909884,0.441556072351518,0.3487470359368056,0.3291781431036367,0.3953187762070526,0.5541388294763279,0.3840710586797324,0.348921334161464,0.49843711854029216,0.458220699815534,0.4301944800222067,0.4374730833899008,0.428229508410801,0.4303266199935913,0.43030708954823527,0.49269902878982214,0.5517187289562423,0.704948557789945,0.5832523438107017,0.49517420857483946,0.4306276039233656,0.4030640110899381,0.4408565229519569,0.45960096114773125,0.4927368098813747,0.5195951949662849,0.5656782152771883,0.5805158412870803,0.5205002235296738,0.46070989324767264,0.5022101320335892,0.46626610600194457,0.44323842586538564,0.4478961853306096,0.47955957896138796,0.5169027069279795,0.4813414288274231,0.6347502310939498,0.8938864473051668,1.3517413382533061,1.2976185067651251,0.7907705376468017,0.6871838298715583,0.7521940347880921,0.7557172347568615,0.6135200262539875,0.5750338978284876,0.5106023968502195,0.947836226515189,0.5028859504064808,0.5551803922705816,0.5858512904396774,0.7004899979180292,0.8589012086069958,0.623562714341923,0.5869292477418443,0.49502946384597557,0.583080759733106,0.47792794871707467,0.49107081400029373,0.6526632359711269,0.5115170249800753,0.5984078793878679,0.5297557327137221,0.7791388400508794,1.1671582529003308,0.7271511215510038,0.7243675593784087,0.5496266255822553,0.9812124630278302,0.4625249054921246,0.517214653879812,0.5248471061682244,0.5069311759214669,0.590074476874886,0.6088788304335383,0.8429979907200484,0.49976161355916826,0.47280992829872764,0.4753622977727265,0.4888328475459875,0.640535270965812,0.4630643619229212,0.6717046018772842,0.5049364867347239,0.6009615262549597,0.5588327422772009,0.5923373947249474,0.5501042644129739,0.6464038096910264,0.663773544075115,0.5974391338459095,0.5682830476235021,0.7487661022679144,0.5672933605876282,0.7156420629494187,0.5779863664998736,0.6052277959392139,0.7586537362335531,0.6456260691354984,0.849567963238414,0.6888816440311178,0.6964155658202227,0.8454254189834742,0.6801408558398528,0.4661108257039902,0.3680333478249945,0.388576711789311,0.3685058700174471,0.3426822382210907,0.38646831277045957,0.33128375762982204,0.46417702365704905,0.4824802567429579,0.3840636588836598,0.353304907493755,0.3250568276150047,0.2934420725347728,0.32686993005767145,0.4185349959575478,0.4531450626654827,0.47582633985447104,0.4830290826419466,0.5427245160130494,0.5086457945137617,0.6056016070743594,0.5243950001154859,0.6275483820398655,0.49052127054117045,0.4673798635731153,0.6217363596982141,0.44986115904670526,0.4471764281452148,0.39283180796733713,0.3903688645070621,0.4666633896392916,0.4445953395987427,0.3531093111773174,0.36460206186575894,0.4014938958724019,0.3695700062969876,0.4174351882920545,0.40171645211291185,0.41796911331344944,0.5205249092874172,0.5242422052769029,0.851273574771041,1.4162839343334148,0.9247693560989521,0.6435128277897859,0.5215146990934004,0.5614869817529766,0.48923127926185006,0.523473507902939,0.4306086292408485,0.4388994757783842,0.38047938698072503,0.3902999467794093,0.43620031986665825,0.533016870662382,0.47763060884293174,0.5516033255400749,0.632989964260614,0.563187728183583,0.4828887104172368,0.42461020309619524,0.43347973423022557,0.47902144938469216,0.4303122169083822,0.5214817151226238,0.5090779966847999,0.7757120392663439,0.4881199562655303,0.545482419498609,0.49413391121254974,0.5284741136700498,0.5428759944781636,0.5539690704642186,0.5050258884811663,0.517426871689758,0.5506946089716067,0.596029173248097,0.8301651800944311,0.5925166350209002,0.6546720355962942,0.559446497549235,0.5922732732914291,0.5855066390785375,0.5612009504511667,0.5805148933820158,0.5666369046510846,0.561810752628229,0.5689273210911517,0.5822993967136296,0.7083736332926893,0.7453478749275837,0.6258988196351684,0.7138494961582952,0.8577445845378232,0.8317086116956567,0.7160306215403199,0.8383665041465139,0.9636234391444409,0.8603318718509925,0.921940051406879,1.0240683810655162,1.056108063064375,1.0139674305318982,1.04511338280967,0.9960225906178448,1.1641702241723397,0.9148183417601249,0.9438970844399565,1.0127598454568987,0.9896534207520871,1.2452724560345774,1.2341034792218006,1.6229778709966494,1.4679545263672464,1.0973577053031576,0.9689380286666476,1.0463618382549373,0.7938636838206837,0.9220728676422935,1.0226953163465948,1.0016770163084705,1.2311538741152728,0.9271312205880549,0.9141672982564317,0.9485803835996939,0.8437578882317469,0.8236987175210647,0.6967247325733407,0.7611945244852693,0.843882434870616,0.9368366130054379,0.9853108884375757,1.2131519654966132,1.0671760632677652,0.9447186450402189,0.998394476003389,1.1910959599505657,1.0269085221883465,0.9937537488457067,1.0686459417946474,1.1013776512514084,1.0202961349372783,1.1036729896080686,1.1960823057914614,1.1962986677544034,1.163176712519601,1.2010467103253157,1.1079886778901915,1.080140035709432,1.0566597216760358,1.0558102663538773,1.0175726482756742,0.9821303102976814,1.0787152769911685,1.016561131551821,1.0311390012011852,0.8938232539964931,0.9583958338988268,1.0569867473080174,0.8628062443885506,0.8335889634663105,0.9327375471503929,0.9333967772876423,0.8369906743947197,0.792914150410939,0.8973701969486138,0.9108322288135507,1.2180897621952536,0.8387418899319186,0.74669696746842,0.7303964212999777,0.8582123220347265,0.767500996766881,0.7694230651402,0.8536388156031166,0.7160964210273344,0.4765510529001441,0.5426564096137347,0.47414086339822925,0.45090847678616364,0.9496480837101664,1.3620485792862966,1.2572341433746068,0.9226674619803089,1.3233520475115756,1.4504352947285757,0.9188107924171407,0.881454483808666,1.7190393156392496,1.3412560157320437,2.5691775841284743,3.4321192635588744,2.825872817998865],[0.6060475989066428,0.4893809088006731,0.5437513103729092,0.4509950544518961,0.5506160817557921,0.5086715438384445,0.34961325172295826,0.39353581069631854,0.3195403034990114,0.2878201303571559,0.3823589278538741,0.5462263374245399,0.3492406047035816,0.3325658828197733,0.5244077720609895,0.44890164593968057,0.43272420999687006,0.4393766074786441,0.42001276273281035,0.42300961120399316,0.43738070327224715,0.47708070840545663,0.5479812360282927,0.7532286064639624,0.576707403494994,0.49658710874485945,0.4337849001871821,0.3848173421469305,0.40867265240556994,0.44864403781935347,0.5178984819603367,0.5094158711487096,0.5945782157279709,0.6142192388666556,0.5130903897531799,0.46005564922678355,0.47153187297098265,0.419144574836701,0.39416379903850635,0.39602288794263196,0.44624414954884833,0.4843733312074175,0.43140595771357737,0.6292291120290252,0.8902133507712544,1.3323957477386579,1.3110343249304868,0.8118474668733751,0.6834591471509778,0.778779638140708,0.7409204142297308,0.619539367406755,0.5352800932983905,0.4789747984914587,0.9420442864093331,0.4639634419446409,0.5236169519267955,0.5560691950617254,0.6766677358854977,0.879573369298487,0.6000790061758663,0.5633750101756194,0.5206451440288369,0.6284629003920073,0.48844795035348804,0.49351701315269964,0.710470008006881,0.5356019711351475,0.6464060354998786,0.5669139308856871,0.8249830184920586,1.2364327112310136,0.7687350743648237,0.8023972742744907,0.5871071902605695,1.0317498864082018,0.4954807807537427,0.5536087824354037,0.5191808485465033,0.5058231681576146,0.5720518714501717,0.5426687294363839,0.7922689213221252,0.44593405539116476,0.4175993149443955,0.41838710747457475,0.44951593933383716,0.6201799446032981,0.44883074685994045,0.6600630172056975,0.5545959060289721,0.6841910415069019,0.6391909547612266,0.6659557166581319,0.6091585666729346,0.7339973782202506,0.7183633782695412,0.6266531343210464,0.5704236687828312,0.763448714791193,0.555075382755403,0.6766025352245498,0.5245045101605302,0.531555653218884,0.6530261266606834,0.6355260519628076,0.8602076862305207,0.7078376370390833,0.7354608784040544,0.8521847865428575,0.7048589135013515,0.4527599604812711,0.339742103009342,0.34561176135983634,0.33204310330274855,0.31746863009480064,0.3546759701368516,0.28623671168933623,0.4881152596218546,0.47594917839535067,0.38048511842863886,0.32536732710117183,0.32837281961072873,0.2928146434226345,0.3126429007718672,0.4818357518914798,0.5060549088765705,0.4866441675676397,0.5023341864059723,0.5444107576209876,0.5524354597178298,0.6636649430232205,0.5495303402149816,0.617176663892717,0.48583735069468625,0.4540963545960176,0.6621498010566224,0.46580583782948776,0.38952212617441917,0.3226796886178097,0.3964733427322482,0.4198654099531669,0.4147954150541512,0.3040020251048673,0.31468391620780733,0.3705234167753295,0.3186971754566898,0.3838864972264369,0.3555316423957274,0.3859224641131095,0.4691476141753019,0.4957478429240803,0.8213543945582564,1.4263510286213068,0.940281632074643,0.6338690582127032,0.5013685406532136,0.5006023396211713,0.4376017668092454,0.4575543054528834,0.37565047743438534,0.39766276261908484,0.3410189855219378,0.34719777463400064,0.39426381856458564,0.49096039017191917,0.4494708391021412,0.5511002697697329,0.6622916152607258,0.5729574808767948,0.4957304844613752,0.41237116863182477,0.389985859289502,0.42057563758192185,0.3691461258707981,0.4472768488604134,0.4493514697447516,0.7177556712496418,0.4232194589093987,0.4749879606354209,0.42963042532047996,0.47365908177769633,0.505200581681642,0.5311026365115464,0.4698309923649463,0.4918687206083507,0.5281382690931301,0.5897484403337405,0.8478912207593261,0.5854838282275825,0.6246296541637938,0.5280460298298871,0.573689894629077,0.5853024522082346,0.5851753546952716,0.6116447897357293,0.6078300743576733,0.6060713499781487,0.649830840961549,0.6869017190159165,0.7755964304764255,0.790631624012778,0.6966370851872479,0.7937759153289935,0.9316649508997695,0.8983635445474468,0.7754775781551865,0.9271130755572177,1.0386171631409855,0.9422901177849173,1.0043519729751407,1.1159516667406968,1.1241960252102907,1.079287281996143,1.1542859137732417,1.1069312717610573,1.2706771827244117,1.0802022946770256,1.0591663941035567,1.1337445833011142,1.101628638000969,1.3054144134774466,1.401836767762738,1.779559736714341,1.501393200637441,1.1672292644817415,1.0860172264734758,1.1572713606743361,0.8800443109686866,0.9964678364728948,1.0952596493776405,1.0744676101653459,1.2959572798810222,0.9988762600947669,0.9574523528368294,1.0189934570175774,0.9389012162449663,0.8504188469791438,0.779192794123407,0.8202703971468601,0.9087998319120978,1.0078435867177729,1.0243427586270775,1.2220592236330892,1.0866379331061105,0.9745738820310151,1.0547163139264955,1.2428199000064546,1.0413942255260347,1.053412852407408,1.1342063166325294,1.162167600284651,1.0848690119584623,1.184469150812349,1.2768474647859587,1.2524085707732977,1.2519676159465896,1.3089073783567484,1.203115792133346,1.1710293377938081,1.1231827409613717,1.1299262692936123,1.1187774074231291,1.064853311358106,1.134122025548472,1.0978223052583997,1.1137062779441191,0.9750616789141552,1.0402743090443012,1.183185023861086,1.0012583484332649,0.9471107448734614,1.052414360293459,1.0857299250284105,0.9679410450522689,0.9308919463640885,1.055951079480153,1.049515786398506,1.3379868098688408,0.9800304388968281,0.8824101487187296,0.8478902155574224,0.9655460562597499,0.8729202628420113,0.8797184830621294,0.9171996630736561,0.8086650062765575,0.6212166919244438,0.606969954829226,0.547306416088611,0.5439286820754353,1.0228625403591893,1.4512622045921133,1.3043403427947446,1.0004868008387173,1.3954036185826728,1.5658716238731782,1.0031483035185824,0.9641575670745937,1.839720628152178,1.459682761515511,2.7359674004504377,3.8114499905739567,3.1952303363743564],[0.5157334328255321,0.3718320957116858,0.4407191499892348,0.31321164164408943,0.3398673914593436,0.37874013258966666,0.2717956974839391,0.37105665605467864,0.2945334035109948,0.2667312891750588,0.34965295164522414,0.5046573246918882,0.33764710987474156,0.3182533934876984,0.4771958319315671,0.4092076448273962,0.4213130785016416,0.4306185064226748,0.4481013412015766,0.4300232630358976,0.4301215951670991,0.4531113345509297,0.5936634913470841,0.7823650126361298,0.5826390433772018,0.49951360818050833,0.44625254749407545,0.37777949124085053,0.4036173466895752,0.4251095874820744,0.4860611271085669,0.4670598086518421,0.5397470158771236,0.5688441731117765,0.46762515475426775,0.441522833441685,0.4454576678504762,0.4010885188548477,0.3809499075670749,0.3752470155822129,0.419356685376992,0.4910143344136898,0.421415317446377,0.6151245602739512,0.9120008212197112,1.3616761684156298,1.3664452202037745,0.7976112624864218,0.6825464677148454,0.7800287873995031,0.716612376710113,0.5985860996094255,0.5127983231712147,0.44928011412310304,0.9185262205794701,0.4476304674047965,0.5213359947705554,0.5679002601339833,0.6783104980109685,0.8717832248431143,0.589865049596166,0.5488467495121321,0.5133775251723128,0.6554243426442563,0.4875970175899389,0.47872520880201824,0.7271917822332475,0.542045718512235,0.6427555964776241,0.5568853956681626,0.7969112289733153,1.2023102307081268,0.7401657448248532,0.8097196385892913,0.5702167921988366,1.0353928006794655,0.4878481713985956,0.528090769003456,0.49422765003947894,0.513632089391172,0.5409379705156065,0.5025627431180056,0.7706126072006787,0.4072022783051023,0.3958833611261003,0.3944581685135929,0.4242331359578022,0.591680345428549,0.44181444037015766,0.6178333939156633,0.5356083191312867,0.6613069956114956,0.5879794741365147,0.5928531503156101,0.5501573586191941,0.6461255801926,0.6307842121157903,0.5482858977302899,0.5039086212847198,0.7435169878253325,0.4931604452696108,0.6360357159469056,0.47797025055881,0.4885748885654404,0.6351757177904093,0.5547002932694299,0.7376223633466363,0.5807642545010026,0.6171429528443647,0.781501307810165,0.5874778631051328,0.3670533695605647,0.2915593781223043,0.2928622601329685,0.30932949029814055,0.28500729216202797,0.34598189113000133,0.2669322257305522,0.5372790984892001,0.4801651474847162,0.39766790943650016,0.33677001420370417,0.2962383886622871,0.24384771853966386,0.2553777399924022,0.3620827444638531,0.4009187615522973,0.3825246665300175,0.39595310080232954,0.442876359211589,0.4098028040381241,0.5016220749779937,0.4047317202352273,0.5203799722515268,0.3888307801346948,0.37489154959444004,0.5563354039529699,0.37072331491583094,0.35298987579089647,0.29611996526904316,0.33285770906586243,0.41783751870071173,0.4309473441017109,0.29017068072013996,0.28546946481916124,0.3415762433704238,0.28266370094300547,0.3558047652532838,0.32148118139504245,0.3454854426098709,0.4556798745894329,0.4791586084172163,0.7867474120252758,1.5036365174351907,1.004221876719862,0.5863367535234589,0.4554553978594107,0.4687939372884522,0.39983780680356934,0.43492135104619917,0.34252681984577066,0.3580020377541347,0.30001043639838515,0.3187839105849545,0.3840258929065113,0.4477076526618249,0.38332761649898495,0.48081089876162614,0.5647331317702486,0.4998970482622132,0.4011856761269965,0.34219208718883226,0.34236372881019256,0.37168519430855196,0.3272155296176222,0.41362111010980984,0.43523077923455955,0.6951566670460534,0.3953762301837259,0.446772621560956,0.3823565050740745,0.40415932678537153,0.40667555332241295,0.432442820380717,0.40151470589192956,0.4458560944552232,0.5006270107061722,0.5587545615830976,0.841830140001609,0.5580237169119241,0.6158454987919976,0.5121519585005705,0.4940175068708853,0.4868410657739984,0.46114233180441894,0.4848614322757096,0.48251461167306947,0.43904868866694224,0.4770090671239898,0.5102369019009333,0.6034191477747745,0.6624194597585996,0.5459784908092621,0.6298319527884132,0.7761070028266507,0.7721616689838532,0.6607014519425546,0.7753932764877772,0.9009743846500446,0.8187664194141547,0.8813586865144986,0.9866919271214019,1.0386973879165378,0.9707471471806293,1.0151410439216633,0.9494446824007803,1.124046905101509,0.8598851074024111,0.8810191312533371,0.9632421190809218,0.9286201161211832,1.2087144704512822,1.1627707484338712,1.5590266755156221,1.4140817449631726,1.0197141807839492,0.9210948668782333,0.988069858267217,0.7007635315242843,0.7798715430385402,0.9162749993155164,0.8889709812128559,1.095833635142488,0.7966344596112903,0.7860621595410501,0.8394650460858856,0.787454958058928,0.829716685269154,0.6127059684203741,0.6560490540608482,0.7560650308251412,0.8563171885930083,0.9428346516447688,1.1570245226896154,1.065075862059425,0.8862626286618434,0.9267356602019765,1.1580379908227196,0.9762494871417392,0.9292916708900137,1.0309617083451703,1.0729017531618188,0.9663490489130607,1.0563888936991863,1.1807943162612757,1.176713245130916,1.1313245924253816,1.1750770768977605,1.0608369944765572,1.0229594284090415,0.9800227210135323,0.9872623219814963,0.9534475327912136,0.9052977608345655,0.9803204139081287,0.9299952868441589,0.9499150329658786,0.8000350566511064,0.8382379307394862,0.9838407593164374,0.8009981537766708,0.7574016202274166,0.8316556626482894,0.8703591403899278,0.800265596112747,0.7415579610560318,0.8747263766169556,0.9048951446291538,1.2078603146455553,0.7984389104744456,0.6827834455118701,0.6695913208196466,0.7778082773136106,0.6842176011818288,0.7036772559513358,0.7777381890220418,0.6268163447372654,0.4422111589109891,0.45921449211316223,0.4171568325092193,0.40486557424434644,0.8835555923692974,1.3326173084699426,1.307241492934841,0.9316241858975761,1.2757449653613717,1.5984086632737187,1.1227237882794816,0.943275355301746,1.7666277192364086,1.6674961569065094,3.061314379323028,4.116071559619605,3.577081216266889],[0.5062933886529509,0.3944227275938929,0.455020580366682,0.33404682535933716,0.354546196113584,0.38097173046035804,0.25795347127051066,0.33737567121737866,0.2781196769644961,0.23922638523584788,0.32716446970816926,0.48086713977153606,0.2958291437542108,0.2919326213251847,0.4446117044084566,0.37668142859127884,0.38406026171126123,0.3919152924695811,0.4016355998060911,0.39234666362493753,0.3951723571039964,0.4345857759123929,0.5417865297234591,0.7500468472233014,0.5520245642922639,0.4717871182392434,0.40565597141170284,0.3446582280900425,0.3750187996880382,0.39239036057543153,0.4375318756981758,0.43045136624740893,0.48815346350588135,0.5163732503202186,0.42299882240522824,0.3966968657396716,0.4085142431723897,0.37602277372106613,0.35224337574943737,0.3505677691149761,0.40776222313274474,0.46659876798071265,0.4066519939495705,0.6029501168888879,0.9022167857801867,1.3475362095809555,1.3429744589973762,0.7878974340959463,0.6661265097763138,0.7687865066420563,0.713892889573208,0.585042494592076,0.5033295486332464,0.4486493423101035,0.9015499255476868,0.4248316961041394,0.5072162379156292,0.5288617354674918,0.6363643967801941,0.8669947213582655,0.5851713406545997,0.5165055127507872,0.4722131312889581,0.5841230272828943,0.435764214776281,0.43904896155293344,0.6774946814063252,0.4867756537186685,0.5810608003845354,0.5093963129518405,0.7571404641010241,1.1291543268763038,0.6900129441345325,0.7491272070944509,0.5249316187942678,1.007996445756037,0.4416443000061366,0.47642407480084314,0.44957909471644214,0.4571140540207781,0.5041267820216605,0.4819592086373265,0.7478258512703531,0.37689933051054986,0.3785443519709525,0.366857922743278,0.39781046974860423,0.573191731357469,0.39623175859978005,0.5860099735319417,0.4780766678202006,0.6251098322955552,0.527793109741137,0.5350208585715052,0.49906802288104507,0.5876634828265624,0.5904184911402213,0.5049000615843107,0.45539749129621776,0.6756928062446794,0.4511889282594043,0.6177042162014119,0.4383005816308702,0.47322607106899106,0.6335735508863586,0.5609673159877011,0.732150835968141,0.5761642949708254,0.615948089212598,0.7878486510363673,0.5993290239331023,0.36377241801533655,0.27066398089192595,0.2841315723283849,0.2950481403944188,0.27351473193654624,0.3300802981185771,0.25505181788763,0.47824044567516444,0.44656863578873673,0.3557278223287265,0.3039874319154886,0.278810850639415,0.22039037907825285,0.24114247902536018,0.35848831709537765,0.40022441753664323,0.3854008833691449,0.3995490482134583,0.4502654285446602,0.41778323999187794,0.5052951935844257,0.4099119337222524,0.5189599750717158,0.392374740737304,0.37389438450368323,0.55019069784827,0.3679982368080326,0.3489330240096437,0.28809848298309076,0.3252229899563295,0.4223504068496015,0.42032416673192813,0.2755769439484686,0.2742031285681649,0.3224414588844433,0.26857493392750786,0.3275750960970437,0.2908777339941656,0.3226140121086211,0.4241027319209692,0.4381347912146717,0.7404465631140809,1.4557989675366745,0.9774230459306111,0.5251193913539268,0.4096374430897581,0.42880635333264205,0.37286761795825485,0.40846316305211056,0.32652288065253093,0.3387435558487537,0.29083406826614167,0.29797893706667505,0.37692136779466107,0.4617368540837033,0.38456360503761294,0.4851677494205266,0.5669004414032575,0.49978900059145187,0.4030718774443242,0.34305089576940195,0.33941300047338946,0.36309345600543,0.3067134740502455,0.40248238708086637,0.4100180077077493,0.6680112224069907,0.3704205893392584,0.4218252799998577,0.3690933595594433,0.3993733985994623,0.40902224356583067,0.4353283095352073,0.39473838862861327,0.43480325798437347,0.48992799945937904,0.5442526295320012,0.8314231353940111,0.5526506237525297,0.616799626570233,0.5058244477508355,0.501969522322281,0.49298123103763264,0.4692993946052342,0.5011746966994816,0.4939358918315125,0.44276176239564785,0.4805712112692253,0.5239366414623207,0.5910946657649626,0.6530468424712467,0.5484305026802945,0.6159964027986169,0.7490535079615063,0.7599211380047459,0.6453235292278906,0.7405203246725104,0.8574100363087223,0.7933899444331032,0.8398900455346712,0.9291872239497652,1.0041304460219327,0.9262676907790814,0.9433347221576884,0.8951957908995989,1.0451681529778574,0.7884722957068115,0.8265168726199279,0.8927813092850754,0.8586512203552429,1.1707231764710468,1.0641565789114809,1.512109992546725,1.3845786992447624,0.9767430711941162,0.9030997688019355,0.9674800736867711,0.6711669823601039,0.7339835993298985,0.8908969907601058,0.8626770037660858,1.0586770621285893,0.7740296150424024,0.7785162757459216,0.8141184868694816,0.7750388606661271,0.8464096965197702,0.6061594910895053,0.6469007269091396,0.7436087506373401,0.834907728957985,0.9200417155035155,1.1166400575773685,1.0374623382684027,0.8615086860664604,0.8859392322632581,1.1184227797838442,0.9546228475267926,0.9011392326555259,0.9932559136597765,1.04358956859463,0.9305178032390076,0.9933576970827778,1.1121490555996583,1.1353964952083389,1.0629827919470576,1.0934551459600619,0.9877623427035308,0.9551190460262305,0.9222193620601112,0.9351511803626931,0.8866794534263799,0.8506638995950586,0.9226601848346109,0.8670574526357672,0.8898340743616143,0.7579744657634819,0.7779096104222414,0.9263136969369379,0.7674120263613272,0.729298919243703,0.7851563635445594,0.8206640900747472,0.7649219190403785,0.7071767998974815,0.8378171925791355,0.9125159003176231,1.1338510101941208,0.7688254536199253,0.6503746030636233,0.6446169948662962,0.7738609853638574,0.6664596979758176,0.6877684814624307,0.7662042256084782,0.6123322442648714,0.4508947202401375,0.4671848074634683,0.43100319018455086,0.4161813889949336,0.8794544313386397,1.2915608890782198,1.2896049108648606,0.958665113360856,1.2368579581211756,1.5867396428179197,1.191289918769371,0.9652786642075052,1.7582657838810094,1.6643899538627158,3.042973028830616,3.8389719659516,3.310630126014286],[0.4790312407222858,0.39437690392770003,0.4109125879046757,0.30239405294597177,0.35621947309598184,0.38617619413344045,0.29155177856960535,0.35935154500278277,0.3244695015672753,0.26986955417468333,0.31371144382095834,0.43703582366840177,0.3081482729348855,0.3155124286407432,0.42184897346271505,0.37048477575329547,0.3985270972355726,0.426178139620461,0.4800534903970828,0.4331019656095302,0.42103840488216937,0.4562715369514504,0.6420530634772839,0.8433418232894826,0.5805842606660447,0.5123869041148503,0.4305990064921004,0.35851873934057127,0.395089398425981,0.388852075309715,0.44658299893874276,0.4122195439062268,0.48428751129395964,0.4926879729465856,0.40236665293418195,0.3865038202523707,0.41553226638107693,0.3743928230808718,0.36296359800182204,0.3814194754524696,0.4538825210562826,0.5244577509796681,0.4311690165966265,0.6792491572931035,0.9896731607861352,1.4069405164864404,1.4560325293983216,0.8865088528986489,0.7457386409070306,0.8658468889486439,0.7458944820798432,0.652420526064692,0.5764421407525382,0.49181599526936753,0.8888979938117809,0.4511146035247247,0.4972774248713381,0.5916199042575324,0.6521640817416166,0.872426778082319,0.5913814771038435,0.5004518115045717,0.45788537337883944,0.6164911183672702,0.46135493532754446,0.4187793868244056,0.6853081275136219,0.520493738825473,0.629823662590249,0.5437027394492461,0.7826132111146128,1.1208475108010716,0.7270935081081881,0.8440083731434475,0.5278698975689018,1.1220454588933335,0.4377753693059344,0.48498353949415823,0.4283505517364322,0.45285065013521797,0.501689172025424,0.4850706068481567,0.6935910637383168,0.3828120712868004,0.40440958552211465,0.3635204217616801,0.39481402595764803,0.586888791955009,0.38516627718998653,0.5611852464202456,0.4776191827709728,0.6641122817243295,0.555528747509792,0.5087953286817469,0.4724135734469685,0.5611281234122111,0.5304496467371518,0.4690717544998102,0.4148727661447832,0.6440364999011534,0.42846724864254726,0.5998883789475661,0.433094530408025,0.4546666863333548,0.6066862087601063,0.5568777104768214,0.6832492205894446,0.5418042482176272,0.5870824956922328,0.787054174605659,0.5788075352494447,0.3850036387840869,0.3291398326357293,0.31319113195747067,0.3197134861358828,0.3063788196185944,0.3554149195516885,0.32656202079410995,0.5777895921394737,0.45899557873263036,0.41796083470466006,0.36055311305475923,0.3610327599759961,0.28555392029112686,0.31426050876766437,0.39083141343568506,0.41088375484027584,0.3881717468657108,0.39792090731954405,0.4760074709064328,0.4148084028535092,0.4966242940899049,0.40012706421940325,0.5206048992168784,0.39239229985351076,0.38722441973952615,0.5613428696962535,0.408966394355821,0.36504638032886216,0.3107657516767049,0.37171737020720813,0.4957851778313744,0.48035064428821495,0.33771494674318076,0.3116210453420394,0.3380445257349835,0.29113565483604953,0.34765019833067035,0.329928210023179,0.3623569399613875,0.4588738303994907,0.4589811377952992,0.6901989245300593,1.4590374071819574,1.0277990985059255,0.5120245988853777,0.4027452653320552,0.4286954050025305,0.3658011859191565,0.40227493062157826,0.3878545301532731,0.3515549441145193,0.3351599754786712,0.33456021243303535,0.418667374253264,0.4707783892622914,0.40152511927503765,0.4809904006223794,0.5459725376122763,0.49339188466699646,0.4160153195153711,0.3745184923489744,0.3766027937777861,0.3746170537404447,0.32927963546937783,0.4344400802813912,0.44934456933830536,0.6570388120431838,0.38647154807438955,0.4241885327133171,0.3902036923557575,0.4058079010659669,0.40707185603300766,0.44017243257754385,0.4104451075300603,0.45657376252129733,0.5245314154766652,0.5524079287586948,0.8911770831239993,0.5908464324507995,0.6727891308402644,0.544096940300157,0.498820466845561,0.471037816788303,0.4293563091159389,0.48260977096289054,0.4947460244107481,0.4107568236132323,0.43638371943514487,0.493764987056495,0.5085928638826446,0.5882842946185793,0.4994909713571399,0.5311866420350296,0.6572515169109351,0.6946615614345262,0.5660092779494732,0.6378985666388466,0.7623650503918825,0.7132935239248978,0.7371277180974372,0.8125798197445174,0.9118435374768308,0.8256814063902437,0.8351857947634608,0.790984269032689,0.9553790243764287,0.6876426886681112,0.7207561288210472,0.7667501603549618,0.7316562450926983,1.0746260154965828,0.9115292568279192,1.4161763334344906,1.3414545933194821,0.9393762304456775,0.9151023815844882,0.9667186318485621,0.5892708539393836,0.5989484238631589,0.8035866941130946,0.7591795175199137,0.9152515242122465,0.6603892814516744,0.7543404524608006,0.7592072173819112,0.7284464557236248,0.8671691128715794,0.5317693087602269,0.609488963209908,0.7314711604802754,0.78777100536067,0.9191449455581095,1.0438665544115684,1.0438022370897557,0.8514785797725317,0.8377894763097394,1.088759317174175,0.9318888191125778,0.8487813527566712,0.9440449243096442,1.0017752675047942,0.8612455053414548,0.8992055846430312,1.021423502803081,1.0683297000602987,0.9554288061707422,0.9785313453240043,0.8697618739459809,0.8425657657162463,0.8190424301588434,0.8384547985010412,0.774052108419892,0.7340237332598841,0.7939840351402319,0.7342745892749536,0.760961776266494,0.6467375751952407,0.6443958668825153,0.8084921424213947,0.677871967281357,0.6504838156438397,0.6478086028760802,0.7464883869918667,0.7103018726540347,0.6564388234136536,0.836469135305825,0.9648999613292424,1.0256614709940093,0.7274809686382723,0.5914429760948805,0.5726476457607457,0.7443597762186811,0.6149065894290934,0.6521924142375045,0.7223867828137543,0.5435041930554001,0.4490376183916373,0.41136312215585713,0.4055727224782337,0.39408569847512714,0.8450869409622223,1.2395542170874365,1.3114379622648356,0.986730329567411,1.1484448145327188,1.6244261913707285,1.3878534022350084,0.9508066512112202,1.7010979862717475,1.779707646510188,3.2703912480881883,4.078224477384373,3.609323867547571],[0.442967800626448,0.4075172784795538,0.34937408574026735,0.28479977314661237,0.3404491620919756,0.28011922694459723,0.19745192748464846,0.27270324848958466,0.31991523596183946,0.2424599426814626,0.3094321446292541,0.39526166975498966,0.2762381185501589,0.31392588730066245,0.4033640396157473,0.35504743873876315,0.3635181018899405,0.3804631332836253,0.43084882396721347,0.39460986251061825,0.4073435420734225,0.43644860800809837,0.6123269240037832,0.9137227687876947,0.5649534032637628,0.5043960708215789,0.40830328588197035,0.32141228050035286,0.35494034272467356,0.33909256148877526,0.3896159458000471,0.389170577969092,0.4778233428111683,0.46942040684041714,0.3738920558035905,0.36802255815414486,0.36859018178625164,0.34237466916637005,0.3219737336129645,0.34265701524144765,0.4471493686858051,0.4776894572212264,0.40499999705694856,0.6636765854098702,0.9877925729792038,1.354288876203378,1.4722988594363369,0.8894492138957091,0.7117385801690631,0.8469398138542872,0.7220511962970502,0.6437155627878232,0.5639201914863453,0.4924088484538566,0.8772579965295187,0.4520815685780971,0.5008461184753527,0.5864391019419695,0.6250330481994752,0.9584302772484117,0.5564738050564788,0.4827255862407319,0.45338715813074704,0.6017393886532582,0.46166452233520766,0.42503142995043147,0.660528648602314,0.45237911495702793,0.5873171397081784,0.4940440223966633,0.7085237013476903,1.01554791572146,0.6531949352047264,0.8380992858571905,0.513580005559647,1.1101537205155407,0.4342910774167251,0.4559322818882844,0.39515618880613385,0.415394701214424,0.4592709516663641,0.46257597453396126,0.6699433602674462,0.33108781280659255,0.36522522892793574,0.32091335970816404,0.37768426527364857,0.5581335506541326,0.36121923417752744,0.5272482837485369,0.474533700298867,0.6649593551714172,0.5447382173307838,0.49043307701104977,0.45318230753779076,0.5539828424457485,0.5150721203462729,0.46792364896740707,0.3992797274961197,0.6065168857142094,0.38983742165877094,0.533127625997469,0.34749912461805493,0.3694080113313289,0.5455162275754922,0.4962379708557754,0.6230262963078296,0.45725017246669697,0.4962602079366868,0.7239584378671782,0.5163918557572491,0.30497896143472386,0.25944763346198785,0.24793100217453373,0.2808683416068355,0.26971138791987426,0.3337859544733532,0.30749071853647264,0.6085817890152418,0.41105731498533415,0.40963262327721905,0.32741777774059044,0.31695875955334424,0.23485184787452495,0.24047477577562268,0.3131103823486048,0.2972980469880688,0.2645748936334686,0.31574919811542973,0.4121648029618089,0.34811207333408384,0.42910760642722157,0.3298880657813641,0.4217708771450281,0.31129626577949715,0.29657181775870584,0.5057815382767351,0.3490472028327304,0.30118562853885145,0.2659278580230819,0.3265919765633315,0.5000297169169821,0.4820012777140302,0.32575388550230194,0.3135278647136954,0.3257453544903317,0.26757192588283496,0.30477720451209483,0.2529079825611873,0.30522647859093327,0.3655967641128867,0.3741192998848006,0.5966526293260334,1.3687300792520174,0.9880112476726697,0.4480671084865506,0.34024287412351806,0.3413700366219248,0.3169089314179616,0.3062665528193479,0.30170034114781613,0.3151461181979913,0.29304813483848835,0.3073167635186848,0.37486585063722855,0.43376000607378934,0.34340020596438775,0.43601172315590453,0.4957357086106287,0.443048180942795,0.36571066932913,0.30529709834321916,0.3258405754425729,0.3221013732791482,0.26292535128425326,0.3535596752374855,0.389621889396426,0.5622974640764998,0.3255126968089074,0.35657185719388973,0.33183365761818023,0.32360046305080215,0.33227523519195024,0.38371365828160264,0.347723787255896,0.41134106866703796,0.49771836762471494,0.5167891126095497,0.8359884560128916,0.5819634802817925,0.6824314999086026,0.5330115781170229,0.46522518597779,0.466551800186862,0.4101583450982757,0.45881185351308024,0.46448977608293107,0.3695918936349437,0.38677589968165266,0.48021348971512573,0.4324317802737049,0.512274822907678,0.43885948743901076,0.45674820112841374,0.5630961540477122,0.6173462748649455,0.5080992574684571,0.5694094676854837,0.6789931791231396,0.658595945343404,0.6848292893753082,0.7507366592388823,0.8656759863089087,0.7764932270891488,0.8014963692829175,0.7604733367459642,0.9222369012639579,0.6758434652555736,0.6671051021798011,0.6996391091719971,0.6544780652342389,1.0226632890028924,0.807242834427756,1.2685720148923911,1.2625100720028275,0.8196496825360123,0.8127478604139181,0.8331206142863399,0.5379661837401044,0.4802949182333386,0.6864930709132574,0.6607110388456746,0.8118820876077751,0.5671040176222312,0.7370135035048128,0.7305395154222081,0.660647071516477,0.9140657108397547,0.4745903239651653,0.5696706532867665,0.629796222542855,0.6819457838904829,0.8254948045399294,0.9644965818474848,0.9752708892288908,0.7612320480316908,0.7377418506892606,1.0028947266886912,0.8653903622929094,0.7513939100532429,0.8443393651727907,0.9204770631626854,0.7665568357022238,0.7940183476679984,0.931463541716925,1.019127880253963,0.8835979052742977,0.9006763363664217,0.7793703884313004,0.7359084930181286,0.7113914061698762,0.7329867597110051,0.6710497405932024,0.6437108523451239,0.6809821894929639,0.6445803137349104,0.68723033070659,0.5633140978965874,0.5643574268898066,0.7637464838121718,0.6311060605703941,0.5923577274084773,0.637010919413554,0.7656304404932248,0.7367078692262198,0.6599643455076292,0.8828341746325173,1.018804467683369,1.0358990266018504,0.7432904481304464,0.5818718761749987,0.5525515555695193,0.7325075986960801,0.6075951244127471,0.67686103612407,0.6925228879815132,0.4913477444160221,0.427105219595741,0.36472750695173956,0.3516873459028505,0.35202159849072384,0.7577657640151022,1.088969105584294,1.2123944900630497,0.9462225593030162,1.001336589933952,1.4898555757873122,1.3933348053131798,0.8849308451130024,1.567148074192538,1.6188142923777575,3.0555802606899407,3.735342106505468,3.3343406335748575],[0.47267007386814763,0.46923907605961324,0.397750573860532,0.3091089330727425,0.32361590697610354,0.3696927321014933,0.2950935458108203,0.3312064095711294,0.34159454179287924,0.27552263653701625,0.29124769273935824,0.39293002678492894,0.293771648969693,0.3008425262687274,0.3979270056290258,0.34869784106622215,0.3685667720636455,0.3799971776899464,0.4590740339033421,0.42587069693290636,0.4310662813488058,0.45009414832408995,0.6231517170337006,0.9189583228073379,0.580359527687079,0.5253773293614057,0.4351628373791116,0.3430470873341762,0.3823225746893503,0.34756083183446035,0.37543134576563775,0.3778199032052774,0.45775976816189917,0.4502884277864563,0.3557551622828543,0.3665576632426238,0.3810905024148212,0.3748888390443337,0.3655508301622751,0.39176265371535735,0.4832611149071175,0.5284420779074843,0.46576547684973313,0.7095192349645872,1.0283397402970578,1.3771347131226845,1.5007210518496101,0.9245116508817954,0.7463236372638926,0.8832073385765292,0.7591982883107751,0.6875219687592973,0.6134238430005604,0.538914238399782,0.8828051955478835,0.4845164291801178,0.5427161487377723,0.6360097941797654,0.6424100639184015,1.0001248898760116,0.5818832963212227,0.48463413396834526,0.448187586581465,0.6114037880412462,0.4849705802671568,0.4366661894281369,0.6708397811165432,0.46995473566698404,0.5854936406175987,0.49441367349557863,0.6844413300356771,0.979075117538457,0.6354870742309313,0.8301557851472204,0.4858744353129456,1.1234082490028008,0.4393341762124321,0.45980130852052126,0.3853875380033105,0.4242305517271661,0.4700510476199527,0.46156786713747977,0.6884852675040577,0.3721767932030857,0.3972880446572092,0.3687391123066162,0.3982408662662178,0.5597404510664897,0.38316280114803497,0.5174596833238319,0.47680285782277765,0.6988585343514552,0.5555131609013284,0.46825318987249326,0.428733684902917,0.5160735862880755,0.4753398506248075,0.4366865624534204,0.3726244270074817,0.5866869525288584,0.3955715092715843,0.5463502643721005,0.3710011117403116,0.3857202194567213,0.53850078636557,0.5196291752886616,0.6132582724377564,0.49154770439767403,0.5252746176812284,0.7527980387179983,0.5347862874766108,0.35360633755847665,0.3426102143075427,0.27601417666133676,0.30490568715782523,0.30270400547051673,0.3459377421457924,0.33275513170108045,0.6326319459984298,0.3997069854524921,0.42069182943104183,0.3226415632341565,0.3364310206421225,0.2701157579998362,0.2779186325352716,0.3119382608823279,0.3436678578637114,0.29968577193333445,0.35238688713300403,0.4406429634938884,0.3692903077009433,0.4337142182850838,0.3594997038533299,0.452786903614146,0.3489956465817231,0.3441109250759154,0.5306974510165519,0.3700688907640132,0.3364070035106726,0.3232082535058077,0.3634983080386518,0.49198874641023327,0.4880456158664624,0.3692990786154122,0.3469905347135107,0.36548713397940474,0.30850072948291124,0.32731160421596023,0.3032853324839928,0.33859886266795314,0.41390337302827135,0.4118236569966835,0.5961651785740184,1.3329682824258968,1.0082877266315795,0.4604998557626308,0.3672401958841579,0.3646687599639881,0.35021748581686196,0.3357618409285921,0.34239103404430177,0.3471924666652376,0.3455467172457969,0.3483105357689159,0.43287217785922005,0.47024402937756354,0.38256527778366434,0.46004463646861005,0.5001581716536961,0.4656930229059497,0.40616645636181226,0.34341812986304177,0.37262995533203785,0.3652133922461824,0.31675070889041446,0.3715090650920625,0.41639884103413943,0.5560076853826813,0.36525692436025,0.37825417668989,0.3685872831392271,0.3558246327465738,0.38027683219481717,0.4114589941014174,0.39730457085152504,0.45394030338385655,0.5296582623630806,0.5584976240745824,0.8795274996407276,0.6283086606351759,0.7161929499528779,0.5948220015296648,0.5170197609488609,0.505135767564282,0.4565611240851054,0.4850284103597348,0.49498043886069204,0.3870226186196943,0.39604249895523663,0.49093397506243514,0.4318427561137831,0.5402892028805599,0.46126720104239066,0.4461917439605132,0.5466447433066375,0.6135234660613773,0.47681776807220266,0.5305033194420287,0.6448242142347712,0.6352344537160246,0.6482746685476364,0.7010776965906756,0.833535151003792,0.7454496478771055,0.7517530828945046,0.7310336073490002,0.8778995163738392,0.6335261557981251,0.6242693530525459,0.641320369103412,0.6005376530175803,1.0184895807011438,0.705798320899041,1.2173536365699245,1.264383375232102,0.8029766484407673,0.7943852617820504,0.8427954643921413,0.5048411793107603,0.44155454506217495,0.6688280377688647,0.6337693406850621,0.7269124922458434,0.5234662162649032,0.8028053505999416,0.6816229546139697,0.6415816730223434,0.9443399136144636,0.4610759045910269,0.6014943238891781,0.6590974209226527,0.6908518527966159,0.886492673636771,0.9867895326565358,1.0545345518840126,0.8002734681213791,0.7641793136507706,1.0132887463201203,0.9012857033154812,0.7532128782748492,0.8457013361921177,0.9137557175008175,0.7549366000440679,0.7640973358372715,0.8999448665517568,1.0117570060579326,0.8414640199183456,0.8413233570590696,0.7314337531902072,0.6964980612019814,0.6875037521692715,0.7266499165594436,0.6171451395659714,0.604130417494891,0.6425386864873001,0.5819459067812842,0.6276304747422988,0.5115638294660111,0.48215589411559845,0.6797698326782419,0.5803614651532621,0.5270153997276263,0.6152567314506634,0.7653135175019501,0.7297556481338997,0.6594259376980296,0.9231131272416593,1.1249654746103326,0.9622647273473176,0.7481884435536853,0.5767608247131905,0.5469276217416736,0.7747409937009241,0.599744141814179,0.6681055367739913,0.6874303725793465,0.44074485277804093,0.41273559803317916,0.37213662129588276,0.37214314461509584,0.3654632578854798,0.7577223316274618,1.0860651783171291,1.2880555773910003,0.9725478271811137,0.97571889889492,1.5585101082975379,1.5134957481249107,0.8926587891032992,1.5257326076230442,1.7409537641439858,3.291538593169381,4.017473830984075,3.6593855712196586],[0.41947163421391476,0.43618950520337996,0.35128880211025487,0.2819670052904835,0.34117400338494835,0.31938641675140483,0.30022985883460884,0.3603566382714989,0.3892630833096318,0.34973982923750574,0.3596734189587296,0.46079815615930153,0.37844271170938837,0.3969526497360628,0.5240556833976802,0.4572767250890319,0.4510201633716154,0.45543173976329654,0.5478800981915288,0.4741814681888105,0.49382073989474023,0.5254210144966506,0.6864668606745196,1.0443380513147567,0.6297613724477031,0.5893152222469448,0.4999806292430083,0.4069960119328784,0.4553011100694338,0.44919678134010493,0.483701237574902,0.45460601227478326,0.5545161701375064,0.5462440047323796,0.45427873115919454,0.4613764083717553,0.4805336243476575,0.43758641396756254,0.43336212042854844,0.4706762857108057,0.5521609799557039,0.5807628739704159,0.5492754391544408,0.7911859227255191,1.0995499982718082,1.3845651063441828,1.5925118716083717,1.0108720993708862,0.7945113856689002,0.9642465634936775,0.8364725021429511,0.7743466213738001,0.7027724657961748,0.6133306767991552,0.9002133620353573,0.5703913277137991,0.602882845919701,0.7389492001553887,0.6521683482542219,1.1103091472754383,0.6207499228709592,0.5393448523236837,0.5292574438831577,0.6677453900057657,0.5560924533985958,0.4918467061657611,0.6623326301852839,0.5254680756343559,0.6553184261242827,0.6127601614631302,0.7148238650769936,0.956767086083718,0.7372704968825848,0.9607020955703148,0.5635587752702085,1.2472038432431758,0.5412896478922125,0.5734286403149467,0.47580891071770925,0.47943758789487584,0.5240500017218424,0.538148392899545,0.7096510953708546,0.43242801315568835,0.461514838090377,0.445770698441848,0.4553055153205091,0.6628591410187168,0.4755348702141798,0.5945159398592065,0.5782764650557227,0.8212971153238717,0.6974067411024272,0.5865840669307062,0.5300391996664258,0.6382234239207691,0.589763338883672,0.5254529705396015,0.4552595698350313,0.6327029596410974,0.4653423421722167,0.5715252746397004,0.43252791770679383,0.43365542476527524,0.6086109009165757,0.5426783649911934,0.6031080107433633,0.49193328707498396,0.5277259568861618,0.7597788889460005,0.5488472738872381,0.3946598621321361,0.3761385758417393,0.33535928024028405,0.37252401023684545,0.364013118941764,0.4075321757348013,0.4075177843686971,0.7159979980978453,0.423413543705382,0.44220151754362796,0.40069919809384735,0.38121863089598673,0.32181856463104513,0.33201543611464857,0.34190621605942156,0.3290937199412856,0.33888893019840904,0.37091684643142636,0.481980161829961,0.3912895960359848,0.4294271002938192,0.39666541392080007,0.4489118553391737,0.38765979393210626,0.3856915527440333,0.5433252073844391,0.4371999592103392,0.36340916359614495,0.3665624171922133,0.41254212433715215,0.6159977618692714,0.5619552610273577,0.41558585363216516,0.41727791241193224,0.4271441903035714,0.3756376806054689,0.39434494640257295,0.36654866486596327,0.40910790995394125,0.44845623573784943,0.4501649492324855,0.6102072556562398,1.319313725376315,1.0496286684392149,0.5140338184316108,0.4329033191113208,0.41317999144604056,0.4003568839731981,0.3938151781076452,0.4210903308440678,0.4256543483590208,0.40026120890355615,0.4173624705702869,0.46408043889749023,0.5105813535739742,0.435008249125188,0.5267282579254223,0.5504087939386209,0.5002751271381273,0.4607201855477408,0.41494176418137935,0.4218538108099728,0.4213236043374723,0.3866138632486993,0.46211398814081933,0.5041272864914841,0.6024230946236446,0.4528102862662981,0.44263681460108034,0.43058927557185306,0.4089893889321811,0.4446040733580132,0.48633790776409547,0.45212473784865165,0.5111000749835085,0.5981563129208802,0.6126935269544382,0.9198070398621918,0.6601181675143774,0.7766155835088537,0.6321896874424723,0.554599616042054,0.5678271101771657,0.511895456052945,0.5617037259871511,0.542255465183559,0.4339071877724866,0.41851894563989384,0.5007882005496401,0.4017864563147912,0.4890991850511653,0.43374990253934664,0.40920900661743503,0.4889064076512054,0.5667932953886525,0.4711127771203359,0.5089012699062136,0.5856872373912162,0.6019239729294941,0.6195017166114348,0.6575184514134208,0.7933061537722613,0.7103126383282102,0.7424080117705621,0.726481449587321,0.8445398640964288,0.6706488021255047,0.6005355629499672,0.6106951030334724,0.5735865005715655,0.9662463612068839,0.668709234248806,1.1165987552044565,1.2022572503797007,0.7323091046091682,0.7701821343068612,0.8072759857276655,0.5197069833192164,0.42147008478438763,0.6308613275823833,0.614315947257942,0.685301418023964,0.4999978029042227,0.8628797298168133,0.7541931029786249,0.6638674564546974,0.9989265024902511,0.4579319324026029,0.6091059003816396,0.6244782533785712,0.6473194180072741,0.831069285023105,0.8864074531836935,0.976858718361467,0.7428640865834537,0.7000761680999756,0.9606900114617937,0.8502092261511872,0.6897738830212579,0.7768159639348804,0.858069134903848,0.6991710632530568,0.6945967986220234,0.8341001913121078,0.9767002456637308,0.7823512841176522,0.7800025732674272,0.6687064249301797,0.6226060796998587,0.6008061827746745,0.6449556289010452,0.5460923939688878,0.5420779897958099,0.5467740146717884,0.5268327855533484,0.583183312369833,0.4783001814909629,0.4640118249644517,0.683074650066532,0.5985017384722776,0.5468450249169634,0.6838603792862236,0.8617681887039111,0.8017757379682603,0.7203224035761726,1.0381478169043519,1.2322951821878296,1.0130767936399703,0.8094045685036929,0.6066455012094878,0.558542878119258,0.7887728027448802,0.6333458705018556,0.7320211636791464,0.6702943664956603,0.43668930456042176,0.4131819844351098,0.37485768858888363,0.3719448338524067,0.3647966403456015,0.7240740802262206,0.9848447007332312,1.2282916062633562,0.9744025798873293,0.8749458712373821,1.4612165198298122,1.5257041743980255,0.8351192032847297,1.436917249937139,1.6250991923171914,3.112704419865925,3.7766580607097437,3.4797692454911373],[0.46339764656182314,0.4818421568038872,0.4215801810001528,0.3558877351189641,0.36713598262676994,0.4003689626142647,0.3967774151818865,0.4614774487852067,0.49067619492949205,0.5062574701227304,0.5478765924854131,0.6234830751165886,0.5344098456129601,0.5525062298536616,0.6824624954237193,0.6009314279011682,0.5541962104053683,0.5400304272063141,0.5735051595427896,0.5150949928355237,0.5162024434067602,0.5328530910445703,0.7078432872908308,1.0713648407509835,0.6240943090036182,0.5984256607855787,0.5384691845133242,0.46627128995273703,0.5388478790630887,0.5639651397241731,0.615329169742201,0.5840771007844922,0.7092684058008728,0.6581912993532256,0.5755222503734603,0.5578895028615564,0.5825475721892961,0.5308696766283008,0.4800938732873893,0.5026529449973786,0.5688850694650922,0.59893009680262,0.563707100980961,0.770640930650993,1.0717309311588776,1.3809668363913488,1.585722490357244,0.9885684795885318,0.8021757565870401,0.971726151070332,0.8303069900498532,0.7750875798684488,0.729439447424074,0.6484535892776957,0.9120968566884579,0.6055794399294975,0.6210406705351993,0.7955867922681972,0.6992493860795008,1.0971343117986114,0.6492909816503591,0.5811068408711973,0.586538653105144,0.7160333533547764,0.5855110829471282,0.5413786723307568,0.6956147030120466,0.582188976123226,0.6826778402348502,0.6893023646035665,0.7461137108875951,0.97997665741858,0.7876430188780422,0.9965746555398672,0.6441130690577788,1.3014118430493462,0.6191630074456151,0.6776716076402071,0.5636876310052936,0.5464188055127077,0.5965065760486807,0.5949575539877385,0.8065984900337588,0.514709104303892,0.5037153548982545,0.5277258017434808,0.5271456258181106,0.7456044744609766,0.570612254285743,0.6815995311742262,0.6786726821036396,0.929319929914559,0.8206331494046584,0.7243739039618865,0.6546028570565839,0.7796155199996131,0.7371745465717178,0.6680370740753854,0.6223137467610865,0.7674707040783373,0.6319795315584209,0.6745205723540675,0.5787142848419005,0.5632155856161547,0.6743220832978637,0.5648570680439962,0.5976509361417847,0.5127564592018128,0.5320706637990421,0.7642882261535002,0.5250959141809305,0.45551636457837136,0.4787134528253651,0.3831438569925145,0.4513616289882163,0.41797224795581756,0.46126501177337215,0.4185355697607676,0.7544733765128423,0.4945275453317573,0.49305127272827465,0.4910985554205697,0.42202941944283373,0.3662061064761292,0.36256937390051003,0.3455228468254639,0.35799792620497545,0.3501397249830939,0.3711105936606794,0.49621087649319257,0.40400380404050673,0.4218246914019098,0.40434600992532216,0.4483048994034365,0.4035754711235476,0.3987481083904077,0.5092247767388492,0.42896761361303665,0.40736147138763446,0.4184662407657986,0.43842974069112745,0.6281382599245116,0.5905098253868265,0.4704959639303112,0.4672507007943261,0.49709043076588455,0.4405146672847773,0.4900315586034373,0.4892342285400675,0.5193883358221782,0.5655586144487166,0.5936453439124973,0.6906730075037265,1.3812030805148612,1.1803654431323896,0.6755448077328738,0.5975176212281123,0.5633685428144174,0.551453893266116,0.49845187964729165,0.5013325848068683,0.5110218901484727,0.4265556392936064,0.44734277457686505,0.5095908179499814,0.5481359157934779,0.4635128279759234,0.5579718181687621,0.54327731747008,0.5179533296391925,0.47301754925020373,0.4320098407728716,0.4573075155461359,0.4441356727150672,0.4533175594742438,0.570121744804262,0.6105412289915216,0.6811036048507642,0.5312875629284041,0.5150001869936931,0.4514378731974544,0.4367428792595558,0.4384347996148926,0.47448237191055853,0.4727765523566756,0.5248559222622559,0.5926438361770643,0.6509831454498339,0.9368005322722779,0.6903269795927407,0.7956418953735319,0.6957466286043541,0.5941980130267493,0.588088374725196,0.5278391906943655,0.5383475158397083,0.553009446240118,0.474618418226622,0.4295509050763008,0.49088397749992263,0.4021888719165281,0.520171197293455,0.4403262275096681,0.39223031956017207,0.4729503915767335,0.5563820675235485,0.469282321311228,0.49074387457594804,0.5706220269027225,0.5864177285041566,0.604255440811842,0.6332627692783526,0.7741834317853971,0.7041521772780408,0.7296552811384465,0.7320569005260559,0.8281442767644078,0.6816152522503764,0.5823861495050837,0.5844292830102366,0.5357977945515228,0.9993958087946097,0.6345497174046972,1.101815170410981,1.2103201030164583,0.7546301371026092,0.7939472345214773,0.8791187813152642,0.498331730081693,0.4196696929741385,0.6609284812094397,0.6266401398175381,0.6141000413285572,0.4866237501572825,0.9374878148979288,0.7326432590816995,0.6325013740460752,1.004599454922775,0.4439555193160473,0.6517729333297599,0.6957175882928428,0.7161141717889642,0.9698948533950892,0.9897826909518364,1.1214537948802241,0.8496214950885319,0.7700645913583053,1.0364771294423312,0.9168667034671522,0.717077831522517,0.8383348442432857,0.9126241846715101,0.7245363439746294,0.7129904759506802,0.8648150754019445,1.0001752169315,0.7691723922581621,0.7618228484492472,0.6499197242018805,0.6347711982215708,0.6120979397813688,0.6657845186073283,0.5294305842786711,0.5218587721733751,0.5351288171600006,0.48590813404099437,0.5438083308216964,0.4514024823259928,0.4447459694060698,0.6488958695011584,0.5937365647824736,0.5245276233131164,0.7161596536707173,0.9055515067724483,0.8435213287708228,0.7691701587919022,1.101882672225969,1.3370966366733625,1.0061730512197817,0.855133310212903,0.6395234994719893,0.5824031195946712,0.8606847007250159,0.6950379470050795,0.7857001096267234,0.7264734275152683,0.4322249756306808,0.4037653627101516,0.36410758623995837,0.35859788236710494,0.386445590619828,0.6888597232392664,0.9800613609997783,1.3116586970336834,0.9243247181432008,0.8709922742636244,1.5353041995781742,1.535965540913126,0.8299724614110688,1.4296660671579278,1.7796799749945997,3.431600012641744,4.2895675468710195,4.04431608320874],[0.5918693957977562,0.56183627010482,0.5250310327876766,0.5369268597045406,0.55268070452218,0.5025690550239486,0.5087839902166714,0.5420789978604829,0.5490016270148175,0.6091645170729343,0.6569074922888576,0.7224270726582532,0.706025486833587,0.7270924364375237,0.9138381043737926,0.8400940060730183,0.8357729177508296,0.8773269344024915,0.9488660227675352,0.887234254520511,0.9079856380090354,0.911203492407896,1.1114796119157915,1.410015470511186,0.9626610635166075,0.9324131445796549,0.8823650210277215,0.8176099312798683,0.8511276757971394,0.8296719444683947,0.9121295475251715,0.8201764598556086,0.9594104169525911,0.9408024318861823,0.8747004872927279,0.8754591336631787,0.8488555769294507,0.865833241456958,0.8165408298107062,0.8357517930882707,0.8921790092981874,0.9607586974587454,0.9413732944278914,1.1000015567180101,1.3633508691811593,1.6195181640427236,1.9118642058797732,1.3044343426602165,1.0863038111436856,1.2417597888833733,1.1553627144962635,1.0918825874778397,1.067316243874485,0.9792172069624165,1.078213404925117,0.9388236747195713,0.9298234027401016,1.119308587254964,1.000167164147235,1.317298987352354,0.9632490148247221,0.9713594536068423,0.9689023595878027,1.1023234482671675,0.9822354609922036,0.9067454450170881,1.002977167334267,0.9546789358362306,1.0447863562095931,1.0330219181912252,1.0751178289155956,1.2938277689685007,1.1255142080383944,1.3307969190965219,1.0148204487225203,1.6386648061228686,0.9914747195045858,1.0483725571608562,0.9094745457490264,0.9013860733941097,0.9066216161522731,0.8993314661010582,1.0053934493798231,0.7769371561086001,0.7812417586863352,0.8219267796235497,0.8640947287321455,1.0083139406029102,0.9159642080507303,0.9917366138256636,1.0161006943210942,1.2972506142932128,1.1418506199044893,1.0117198893524695,0.9059211193004776,1.0393704208712746,0.9513132426045628,0.8774754348941773,0.7861658273262081,0.8834288544235404,0.8131214711831034,0.7984134149405545,0.7854058850501974,0.7144574827455428,0.833260054963161,0.718369840507281,0.7132598890054611,0.6394380851008775,0.635476160841455,0.8480840852909529,0.6176186908729602,0.6064887975471098,0.5964224820237836,0.5880456219616632,0.6584220270996174,0.6548595296283503,0.7768432984198312,0.7818813398940881,1.117341159547883,0.8570853410998053,0.8376660208646429,0.7728322956007406,0.676779077022826,0.5765461486874356,0.5249515501801939,0.5207358940055161,0.49593679320709216,0.515924893678042,0.5424757857715053,0.6396581958838921,0.5733273406997462,0.5859586047511651,0.6048842761433152,0.6353223728061747,0.5913564173603353,0.5768272867679203,0.6341401236062688,0.6051272569525966,0.6227333438101462,0.6550517131823207,0.7324345724230544,0.9063190699601781,0.909377890701618,0.7935875436837787,0.7867455809279286,0.7899522645071405,0.7226798080973713,0.7057432676657109,0.6816397865766474,0.6435949769321095,0.6656420552377595,0.6639906813120764,0.7664417430727256,1.4471680180656952,1.2422663023839493,0.7679066017221285,0.725022318511638,0.6872563625670298,0.7358216032285633,0.6825127225146365,0.7496270197088022,0.7555103000857333,0.6858011825314272,0.7112247435791939,0.7217630390435271,0.736169966947111,0.6851404005363697,0.7804828664364348,0.7540398725622318,0.7255134230139278,0.6835083851678474,0.6573195432683453,0.6844750279766448,0.6860079371374338,0.710455702021684,0.7962516809306718,0.8481173585923462,0.9027434824117804,0.7901878891041333,0.747192054595991,0.6827106412149588,0.6724529337132664,0.6700334092948651,0.7209804818474193,0.7145269372113071,0.7941355091084553,0.8762973207877431,0.8829412004039856,1.1518802753837805,0.9021482997984122,0.9898184445998185,0.8367395984712435,0.7720517630491417,0.7732095152390791,0.7019055763332924,0.7238448718884559,0.7547984557507359,0.6502592821453622,0.5927973766457256,0.6065405579997144,0.5371702234205137,0.5911446309578381,0.5478663067340905,0.5323907879157406,0.5727560349197257,0.6397272153455309,0.6299386755675995,0.6410392473738693,0.6655002490048786,0.7081933988427381,0.7538305088485105,0.7656917581043052,0.8792750338581775,0.842920402401606,0.8961377156761332,0.8982735135497947,0.9370190395111397,0.8878489086573884,0.7378161114201411,0.7427875879672104,0.713025841315113,1.0955550362449766,0.8071906904020985,1.0851229094873867,1.1769833505296852,0.7815033048511146,0.857721550791643,0.9091601078907267,0.6760242982807735,0.5845371252560791,0.7105865732638323,0.7260064969572777,0.7317022957971766,0.6360042723852669,1.0704763142100335,0.9488609276206607,0.795851588097345,1.1397836060300341,0.6034475800500604,0.7413637255051913,0.7447750340847018,0.7515904274529882,0.9880071762504888,0.9891191197446652,1.1172884077098455,0.8751872472536781,0.7978480151051829,1.0374419519239293,0.9287950018317693,0.753316428116022,0.8628232947331492,0.9409126847974977,0.7861138590594832,0.7846844371619254,0.9119010539952261,1.0364120690855951,0.8587659022418597,0.8476939088477943,0.7512447285112506,0.7098012898259027,0.6816663320101142,0.7235157580759302,0.6417337698998481,0.6356364092182026,0.6224604798868161,0.6140626350293423,0.663980187939955,0.6014636798626165,0.6403753735930504,0.8316555719144255,0.7838467849841276,0.6803696016639209,0.9568054983591072,1.143970819370946,1.067506520980196,0.9526552776666461,1.2720039328843689,1.479454997262978,1.2027634347649574,1.0562726726869085,0.8204219148740722,0.7633496694687837,1.007095094034911,0.8594308919212091,0.9549300813291091,0.8517336079666253,0.61743182896091,0.5851821052320941,0.5335845243075872,0.5144938933798358,0.5234829189664678,0.724420084666604,0.9636498170466807,1.3044691924915532,0.9496324105060061,0.8918088149399795,1.5102917966299598,1.5088061291063584,0.8797439718006517,1.4835146134030575,1.780018177151606,3.3686261353190625,4.218599586297499,3.9811845198702644],[0.785162192551467,0.7988439701207064,0.7814823984892297,0.7946990036829612,0.7853604232143229,0.8468533646888485,0.876280351310462,0.99825707306379,1.0247169230624185,1.1550079954906136,1.2816224310949516,1.3739171735665683,1.366630278846826,1.3652786758652495,1.660731983408893,1.5835695140644226,1.4641408356108496,1.5512027997955393,1.4459032901724735,1.4041691050912537,1.332436181022899,1.2807020821982142,1.2881428027123603,1.6250523584338057,1.1604741575425415,1.2016379542378917,1.2195004397492863,1.2493127750366055,1.4441495902185781,1.5037098886886426,1.6769615864725458,1.5816217785389013,1.739697055475345,1.7016272238179269,1.6411708875327238,1.5857532990896874,1.5410766638269917,1.3999544445956877,1.2557851443488155,1.2477515204389222,1.1551418911526987,1.2793308267468326,1.2618195032813322,1.2641065199065271,1.3841664555958675,1.5709468494716443,1.8202975035957405,1.3935627278146923,1.2170517185929755,1.3085915394760388,1.2921728056409651,1.292630791758302,1.3516720306383154,1.2884268489879964,1.3867626931751127,1.2569483671549744,1.239095604933312,1.478839669950409,1.4116835629857154,1.5126152592169475,1.3164436291080308,1.4467858728269012,1.5466923142312292,1.5363832362719356,1.3483719228854958,1.419005056139702,1.4797286933652114,1.5525481677245052,1.5671477431217922,1.7465227385905018,1.6921743124509094,1.735500322679538,1.7469552978153162,1.7617629314050438,1.6979838912279783,2.25799029804311,1.6020728090616159,1.689645704897621,1.5626728931702067,1.4834394298224753,1.5145637030025363,1.4734434182154337,1.5013504052654836,1.3011514197493002,1.2731619842313087,1.3636480575991248,1.427619793121749,1.6770259803783234,1.5680019233643907,1.688317623996423,1.7067839936813816,1.9541548011515417,1.8594299724804,1.778164439843835,1.6922063869046626,1.7893200247309997,1.7220439522819533,1.6546473245844446,1.5399430403542669,1.5616152894103714,1.5508366619844827,1.4354861441168827,1.447799982898943,1.3090134280042747,1.3264630688326413,1.1791286518133046,1.1270166068687226,1.0088038687479155,0.9526714283633936,1.2161205882329365,0.9537735686441858,0.9953698657211587,1.0030122932725776,0.9814927902510925,1.1295441101313026,0.999002316128903,1.1383888330544232,0.9302105228945607,1.3517581050938177,1.4010176402311771,1.310735513162441,1.258434728248946,0.9137739522457722,0.8955035943740225,0.8582554856864613,0.8540849114620028,0.8565584827191214,0.8602072420455303,0.8443234927757272,1.000875322103619,0.85861919560331,0.8747903301175822,0.8973860530458377,0.9966012433053276,0.8910158109123946,0.887696587616368,0.8182852288846909,0.8296232071408449,0.8271605097321636,0.838303843433657,0.766407328453731,1.0485854384343918,1.057576850252089,0.9917658907235727,1.0535539524882112,1.2266803174793721,1.132313420783582,1.2322094529872545,1.2044146562212903,1.1698553900456368,1.1921025554595148,1.2180124189121826,1.3165048898760023,1.6858277834522335,1.6771449310761872,1.4226097819668742,1.3926723913351828,1.2888971035712262,1.3728803007727206,1.2267450277257712,1.1632849593170993,1.2523641898853863,0.986368692653503,1.0532916748958172,0.9307867094366236,0.866183531847855,0.850679212114371,0.9640128337399365,0.885574096680056,0.8661054888017329,0.8435858173115574,0.8616069445978385,0.9372417441242508,1.0307922223268744,1.1735601620487894,1.2844662423782776,1.4324346477391654,1.5015919071598918,1.300258923891209,1.2424849075385844,1.0690236993698954,1.0983801094748347,0.9985757425225816,1.0016143329064335,0.9635504001491255,1.0264489123533909,1.140931184776694,1.0636960573907992,1.204218086367404,0.9974394061081094,1.0655064560106235,0.9676332623866889,0.94892940433387,0.9721517410104918,0.9431690228571064,0.9412141836161994,0.9503987148632637,0.8831500871085437,0.8387791451780773,0.8504504295859006,0.8269835917525425,0.9122389437850538,0.8502813900549742,0.8191331047765266,0.8382859824127434,0.878230707275682,0.8630621521897189,0.8812194649277526,0.8710464248179508,0.8922427922136813,0.9530855372988598,0.9350520289260285,0.9848029364824957,0.9951691769995049,1.0420051275820033,1.1152607605787674,1.099503699825068,1.1429149561565632,0.9730956042347544,0.9507677593286953,0.9660210446532124,1.2752651000437072,0.9242646819930938,1.0740843159382787,1.3816637930603362,0.9674271257702872,0.9751221073852104,1.0981710914961018,0.8717905051304602,0.8179383857548194,1.006908892522031,1.0437342835914003,0.9729939185536299,0.9257885514893294,1.2821066428450576,1.136952885784452,0.9859109637340813,1.31056858227361,0.8816492408788,0.9825590276520056,1.014689299602324,1.0490420609887614,1.2633676025894514,1.3031721527215523,1.4592846753236133,1.1760223497898945,1.1168667811201929,1.3113652934757132,1.228404775865915,1.0055487089894815,1.115977402627513,1.173078665598597,0.9920851631764686,0.9767485238263424,1.0791328053125522,1.1778899055551693,0.962010690432801,0.9490223462972838,0.8980754469017445,0.9126432373233574,0.9350262991902816,1.0184359293959733,0.8752904282058507,0.8981605193673582,0.89223697366652,0.8733574131189623,0.942920518250325,0.8893832470353796,0.8564456359756191,1.0892126855908733,1.062258149482679,0.9176035483762582,1.2624180939361591,1.5048010532866614,1.3957712210209015,1.2325278261710446,1.5308661901977911,1.7036541577200044,1.3836839713973177,1.3156569426111528,1.0981808175915577,1.0085655629115866,1.3160958733921715,1.1771364818518846,1.2860385307599211,1.2226804967103935,0.8789762909710107,0.7837638599627672,0.7924721836657196,0.7958593982176861,0.7725452157611793,1.0113263931341223,1.2212675688248842,1.6427474494089058,1.1772654881545117,1.0881043262396668,1.7751618607548056,1.76331151641776,1.0854732402685754,1.572506036777027,1.9664114220830726,3.7053197452184814,4.662341043654697,4.559401623285232],[0.6323838057284075,0.6808055771645617,0.6719444032581414,0.6176977959984935,0.6249508658144727,0.8065898476532958,0.8158312363521804,0.9426535796872028,0.9739951352249013,1.0311846892366683,1.1246302943006494,1.2162241993137126,1.0921217951206748,1.103949558609687,1.2790793864270344,1.201610799401078,1.0475848530244836,0.9884145138241549,0.8239665537036217,0.8494845065324407,0.7674684936615862,0.7572740815334965,0.8920896840554895,1.3078485380819067,0.7585440635184165,0.7691879157438899,0.7850404184566621,0.8127870688219655,0.9687812171439336,1.0924996347549436,1.1836764249238942,1.190731104667207,1.3484241879777186,1.2229817289230733,1.1479980289825404,1.067453654362487,1.1008659096959292,0.9468384434848924,0.8607843545938774,0.8545602295034175,0.7990105559487347,0.8456603934697767,0.8032161736764489,0.9135130568668142,1.1413598864682568,1.4237752113391235,1.64866823477639,1.1077600359310396,0.9792536954851605,1.0951259964670141,0.9840294033904372,0.96376669675077,0.9790529955442808,0.9028583759294317,1.0365425844980616,0.8922352668571263,0.8652949875272448,1.0409587302617396,1.005730321324667,1.1939641112132666,0.8898166594378247,0.9440288844614314,0.9838147381515772,1.0613546834295198,0.8376246816483055,0.8626759908808146,0.952218676877615,0.9417921921318924,0.9475291219596531,1.0733867696660402,1.004608423586016,1.189539840801782,1.1066911514029973,1.2415339711969668,1.044195718478857,1.6806324833797517,1.0066775126318772,1.1328820938437396,1.0098480782534418,0.9663243911176367,1.0401674752302035,1.0578808707821654,1.1895108557685024,0.9525587107478469,0.9366381915260084,0.9762603476916751,0.9912242024733865,1.2067182409991586,1.0403538433766468,1.1829718570389287,1.1654890992872124,1.4243371881181548,1.3285588914416646,1.3172416861649436,1.2692220510802514,1.4063298803893032,1.3614658515057763,1.3273802127450876,1.2801505809680807,1.3832332946783172,1.2441273834375706,1.2163436943243868,1.1583993022853014,1.094747761488913,1.0706627089381273,1.0427812453397172,1.0424560182658116,0.9014848571808275,0.8806023887132709,1.1449287437889788,0.8943680905664401,0.8711496749464206,0.8938946319601422,0.8161776973568863,0.9072175222292072,0.7696005184006487,0.7989747963118262,0.6938608779979164,1.0825475676699075,0.8738336105035807,0.8296505573245576,0.8746711663859821,0.7198858857321939,0.7256003784591398,0.7470993973926144,0.6840304856533207,0.7700662544487534,0.7405903523748318,0.7505351413762695,0.8710693946977359,0.7257183451923609,0.7588749497717442,0.7544951055110566,0.8559836038495965,0.747093576044596,0.7477268605056718,0.6870798134332333,0.6497368982415676,0.635487651150188,0.661143017950712,0.65106424432389,0.8512532133006516,0.8198673993046406,0.7393532662352068,0.7475737231518665,0.8838649812761473,0.8358069979191088,0.9549891594649755,0.9810763879508467,0.9972073532104622,1.05383100832267,1.1376299358765707,1.2383617715914683,1.7438684680191143,1.6233861675319703,1.2774117016223088,1.1886283014418546,1.110665716916443,1.1192095521663508,1.0152966752109258,0.9450085931014646,0.944627072981091,0.7459315611498006,0.7868740975051164,0.7438738023082435,0.7127662341777766,0.6815277824913913,0.7639691121145333,0.7049430303142573,0.694103934668486,0.6788202323678778,0.6871725432111112,0.7560267965665309,0.8106751601722598,0.9058423793144512,1.0240988970470855,1.1079759649075906,1.1993946554817134,0.9735040763723062,0.9818668367099211,0.827612666669463,0.9014009177874205,0.8081420717491434,0.813957106740857,0.7803401265673336,0.8023169891777157,0.8621772078207618,0.8614176969186145,1.0829600966010797,0.8693808874830108,0.94992877014584,0.8757657022808575,0.8242149804086313,0.8028094414013949,0.7816926356642552,0.7629564298432037,0.7907136319314012,0.7640997673371945,0.6988171150955018,0.7887810779418672,0.7566416387079419,0.8992182682276724,0.807201679467176,0.7187966873593912,0.7955062074024516,0.8534138662419332,0.6906212596170044,0.7460616278197801,0.8682727354509786,0.817429033733202,0.7898821642150861,0.8326084745669955,0.9624096995449328,0.8551410691773456,0.8506291793046797,0.8656032951174895,0.9754626679430555,0.7957077583039801,0.7439652769669078,0.7746994111919089,0.7710443752567652,1.1833553820617086,0.7998343658144014,1.225874612137482,1.3622910429466437,0.9635536854074473,0.9873193977521847,1.071009530706345,0.7854384082919411,0.720772649719661,0.9470894472649289,0.9232060563338491,0.8468364159663943,0.786269296461161,1.1005296449098134,0.9580311753018906,0.8452309470068865,1.2070067037468282,0.7414385292816993,0.9071817772159744,0.9698144810959155,1.034883732747329,1.2658520402570455,1.3803686479621602,1.4898389971048271,1.1817487313230743,1.1521864899248426,1.37433333796172,1.2688466652253585,1.0531150425905453,1.1867577086727625,1.2431365548339486,1.029255304652225,1.0265992121783591,1.163376994922609,1.221209678136814,0.9946230238397443,0.9975851215091436,0.9035109014070064,0.9257084428579024,0.9349732396795526,0.9742903815566275,0.8307505095628261,0.8179535966080392,0.8262054090871528,0.7556439564328349,0.7950147562135602,0.7368796878698493,0.6960501661478934,0.8547614710608755,0.7978003627977203,0.750602660839794,0.9305052122892494,1.0962535149970143,1.0127735658094794,0.9111544045515213,1.1927284487842675,1.4073765263135818,1.0788873730257529,0.9436785794664714,0.7754921613181163,0.7131713901983643,0.9518055659740796,0.8350953597363576,0.9297057821901066,0.9324945589310231,0.6431790906257607,0.620793926186407,0.6827562564057339,0.6873363239926811,0.6905101745284417,1.016399002773544,1.2973350230079916,1.6667539004105016,1.1792957080705078,1.1723515573848844,1.896684426222805,1.7476999176581411,1.1186886720643268,1.7369321643135556,2.1314469163318224,3.9094513310734027,4.970702994859702,4.797396754434966],[0.4784263599086729,0.4645802126154347,0.4297014461410858,0.37273974458702713,0.3810838172556864,0.3939387190552961,0.362773880556988,0.4350869624411269,0.45886946570932724,0.4701001869853836,0.5137366010238649,0.6025408510774447,0.5137499903786897,0.5307061011280586,0.7091286462170089,0.6422955661167815,0.5915738168517607,0.5864267324750025,0.5970386734326428,0.5759390765550277,0.5866236796260779,0.5854196280481279,0.8469052049109652,1.2277478061600129,0.6423358791135804,0.6348908168157745,0.5703293241160357,0.5020356047768152,0.555912634349334,0.5841346902231166,0.6998817862086948,0.6461855942361544,0.8284618611449894,0.7595835713734851,0.6506302665319449,0.6247812746294276,0.6191817193958508,0.5663266483396491,0.5365426977425752,0.550375444999052,0.6133992173671584,0.683051434063719,0.6352450475826529,0.8303237035853464,1.1330341843479392,1.4262674315348185,1.6656692112922333,1.060259260620657,0.8674670460178006,1.0147058869853238,0.894708985460958,0.8395214583782243,0.7965223981944362,0.6907270558471011,0.8893926523774389,0.6971678609414002,0.6917268178691929,0.8152272963160047,0.7639985369606814,1.0749409283492175,0.7098979022092304,0.70483369388799,0.7083576602326457,0.87796894226106,0.6800731548529882,0.6249025116846941,0.8026893324506655,0.6760241588153021,0.7960611020387856,0.7484887099546642,0.8258704740402365,1.1068395748066617,0.8867522370369229,1.1478208772979597,0.7418304453270207,1.4301843608833715,0.7117377922644645,0.7872278305209658,0.6482262611352921,0.6284661965487496,0.6484319348754046,0.6736591968370833,0.807618670165608,0.5264988936044543,0.5350521618139019,0.5472175406617709,0.6069499262978113,0.7880399464546789,0.6661930615388431,0.7778596194274136,0.7893992307505542,1.0673769036467295,0.9417772902539204,0.849857937640556,0.7580953547471934,0.9064204407427949,0.7990170545645116,0.746670621683034,0.6737061508411875,0.8599986238567457,0.6648368226743698,0.6803626756734026,0.5979966139251686,0.531806710425219,0.6303434975336213,0.5757723114140721,0.619440248090316,0.5068237035449069,0.516484007410821,0.7679712086014452,0.5043398987525168,0.41724953514825974,0.4310787312189904,0.37877959584938437,0.454783364727543,0.4233748894664495,0.5034289172688183,0.49008151417610996,0.9323920796832353,0.5827111918140347,0.5652135092927841,0.5058509641799327,0.4474154170987722,0.35455711358550124,0.3374709958342842,0.33004877948351585,0.34314954396390357,0.3519669669688009,0.34722594190955497,0.48863553920823266,0.40171678126310406,0.41681480299851836,0.423878692595929,0.4580032616955946,0.43708030706314155,0.4261092022343602,0.5136725483714257,0.43933425636223394,0.4391732863125542,0.42761106725081166,0.5144192974961667,0.7054916333588712,0.6421956469169133,0.5350074034397936,0.507333669714784,0.5356488453087729,0.4640451178079288,0.47586931724390336,0.46184461463827936,0.4807899690399593,0.5302007107306574,0.5788611232538409,0.727657308399296,1.439611804426325,1.2216301786875783,0.7106704876547552,0.6017782649175302,0.5357549047179938,0.5319288802967334,0.477000079559967,0.533694635281289,0.5122066008230579,0.43779087834775177,0.4616939478884547,0.5113884675962023,0.550359217494773,0.488871435526426,0.6188009937967515,0.5753600327176478,0.5522956560215648,0.49690179120784,0.45002544390269733,0.46090732139917767,0.4489054190477826,0.46362650837734937,0.5669468974184393,0.6163288584309133,0.7382931461567532,0.5350958744869385,0.5295006046340062,0.45288047310375457,0.4505520440346368,0.4327650197978969,0.49769040442246837,0.4968902292032011,0.5447026637373013,0.6122296215658634,0.6820055677392529,0.9829946033499658,0.7245186917587687,0.825633531423328,0.712346262710268,0.6133533664149367,0.6046436213905729,0.529821289904979,0.5392437012690169,0.5634809041666824,0.4553253542303534,0.4191415570473195,0.4744427071582635,0.40435728091897083,0.5249884112061614,0.437547156744775,0.4209052148982401,0.5128774073043413,0.5941597716064707,0.4910801207898399,0.5361807660981694,0.6427076490100293,0.6417171226388325,0.6595865659459809,0.7072307198173657,0.8513898292614284,0.7577947589039239,0.782362970541156,0.776641149404509,0.8840501707410037,0.7201783771776447,0.6344939628912163,0.6544357584489152,0.5969104245609549,1.0280192251016107,0.6697604705198497,1.1579179019924397,1.2130374978118281,0.7541629444191339,0.7951776394251311,0.8907247744702166,0.5141244453959349,0.4302844286420889,0.6642316706905734,0.631447553532101,0.6569336661578336,0.49019988637883866,0.8859787360013748,0.7650531862695003,0.6705788271307015,1.0212840206042546,0.4503901578113361,0.5934585387315947,0.6594620868061308,0.7109495732544147,0.9285219442073656,1.0115728512803845,1.121492514130783,0.818559140456993,0.8013382170298577,1.0918211803476716,0.9446371046651894,0.7706412130323101,0.9038675884598804,0.981441476817798,0.7856756487275428,0.794172120425498,0.9602066723950012,1.0505048733911284,0.854169452394661,0.8553329333713247,0.7347456025738067,0.7097192583260338,0.677595306230473,0.7094060110194821,0.603706494641247,0.5817622075506967,0.6005190393523575,0.5450797591067017,0.6039636585883221,0.4997207936673876,0.4733747713893586,0.7046038661035265,0.6512105477496435,0.5614786399758904,0.7261819675610635,0.9064755557976016,0.8597727154632249,0.7793002564141951,1.0957515077913,1.2886141178702357,1.053487511925394,0.8702431001151153,0.6532621037604993,0.5961060354152936,0.8488509622339326,0.7057081685428924,0.8013828149753445,0.7409004536590337,0.4625644458490624,0.41973642578573267,0.3596365643017345,0.356942462737475,0.3858330661128441,0.7179588309664036,1.0747050124177764,1.3616615215504115,0.9374636629853919,0.9721603006378677,1.670035517333205,1.530186425434457,0.9024333711873355,1.5850910123084667,1.9373426392763387,3.6743709451565363,4.697526448776689,4.416850984888066],[0.4608441723320748,0.4579946004842056,0.41635628659074253,0.33891944233979115,0.3407218911133817,0.39971323062279757,0.3183084274042064,0.36726676736243236,0.36342937184898794,0.3178735762054146,0.3343576635663097,0.42796965838867856,0.3489358742019104,0.35632617841638237,0.49112605514167385,0.4407162067572832,0.4248697513909651,0.4278315709371741,0.49083110223900295,0.46290565094365776,0.4703794260138955,0.47547769084882857,0.7500704681813924,1.065542529557194,0.5946471041406926,0.5711954954717187,0.5058358036031366,0.4012440098712198,0.4091488581968893,0.4091595243082703,0.4781641061117302,0.4585645810286227,0.6013105158065842,0.5381891956555224,0.44197620908501617,0.4348486680145912,0.4482202938131536,0.40510066086858426,0.40698798063497177,0.415671371886732,0.5063471195218467,0.5761475221131663,0.5127191074290507,0.7306313538353604,1.060298281331781,1.4113661285821737,1.5852808055876588,0.9607715496388933,0.799759347630543,0.9372932839420678,0.788515147726821,0.7188587560235592,0.6583585946808711,0.5608617478432649,0.857171288941551,0.5705700277689113,0.6151385688121171,0.6577327233531609,0.6647403874102515,1.0061299264244137,0.6584965468185412,0.5769804458279105,0.5732111283014036,0.7500067159164049,0.5577955678818128,0.501982174915234,0.721753209837827,0.5306089490717762,0.6622617777310607,0.5552599405037529,0.7169879551323936,1.0487511344510654,0.7007439776340464,0.955802279869904,0.5554683882422625,1.238086976242217,0.5269792160655139,0.5624609701977217,0.47090093616886486,0.49737446155697324,0.5001426178768732,0.5225762208566566,0.6995747099511519,0.3864928698971264,0.4254723958109699,0.3865877467055753,0.45650919660098743,0.6290853059765007,0.4814089773744471,0.5798693885405821,0.5745642993552568,0.8165337759237303,0.6926366030204513,0.6102175631057356,0.5458663532372189,0.654502143450173,0.5656997966382582,0.5307196400542473,0.4543722566728381,0.6992300477698382,0.4574840475080403,0.581643213549899,0.411383199955641,0.42508152297898544,0.5648988817279478,0.5473041710824335,0.6195806334919848,0.45304263662103034,0.5035463928537396,0.7679329699776405,0.4963902603806189,0.3540296809289035,0.358953100205244,0.29047395773360485,0.32594396816628657,0.34556139351463844,0.411837282791359,0.40616819387701647,0.8041287040941455,0.48825400506206723,0.4964474715072291,0.4042734739430778,0.3956118364115978,0.3145923328454268,0.29242122556309846,0.2762057455769913,0.3352740511068983,0.3079657121155799,0.3385309912908839,0.4549643981373136,0.35397285667181555,0.39482423241740006,0.34606626922027,0.41891817304207196,0.3496065410405021,0.3541792857951683,0.5109212081084724,0.3916681497756793,0.3783267744985354,0.39038217749868437,0.47322189892999506,0.6074917842925242,0.581501595737427,0.4510649701180436,0.4089321629238282,0.42419270364069833,0.3603647650941442,0.34990592927647446,0.33554780673008416,0.3673525212963423,0.4235852936529352,0.4573434310199352,0.6247064234430578,1.4182734787766484,1.1244935779517926,0.5589218752551044,0.4280063102415526,0.40023444252733603,0.3824484185051108,0.36866005419553993,0.4193569232250525,0.4018930133977233,0.3664065967799771,0.37674528046601763,0.45658966642557125,0.5149580759340281,0.42619616554381706,0.5238092389237085,0.5153887588108208,0.4912419787782633,0.4338040545894622,0.39618500899552156,0.3989387093913299,0.3687500632604299,0.3434936631535751,0.45142364683031205,0.4701505762713318,0.6336056819421761,0.3879846175864334,0.4229071646170419,0.373343398590411,0.36653137899977073,0.3800529932385384,0.4089203758348215,0.41309851388764307,0.4585301290131127,0.5163993671746477,0.6013507111566219,0.927938623663996,0.6548136299064019,0.7581306831554794,0.6829063097447787,0.5553189774187253,0.5161041285838831,0.4559523534513017,0.4684649142762492,0.49396968247772083,0.3965586211201393,0.3860909721632487,0.48207038457632223,0.4160687771886492,0.5527614369780309,0.4554942729029679,0.4322982175796465,0.5549592049181667,0.6308382428897844,0.46767919046905104,0.5358046976358561,0.6836629173700077,0.6532393202293428,0.6576417541758829,0.7303039414994003,0.8765103694144197,0.7695656195605498,0.7804350478143642,0.7471685519584873,0.8901802525192252,0.6326598840193749,0.600768197138631,0.6546087955239998,0.6056581359322738,1.031179205333385,0.6996052597570841,1.2432855960449192,1.2733553183247763,0.8157559544360382,0.8378112912732374,0.9189202244055183,0.48392505637932326,0.4350173314123326,0.6951526255982968,0.6427673501463302,0.6822462434443581,0.4912793025948435,0.8343316500842248,0.6607604485351133,0.6135144667096748,0.9504697739200818,0.4370108379593382,0.5993352227943571,0.6829433586888005,0.744103948432074,0.9502729669709722,1.0481547491222518,1.1177100147547212,0.8415440947408425,0.8391743680073664,1.1253187899569435,0.9629272879469855,0.8234952870184445,0.9580329323537591,1.0302129140162561,0.8368043240006131,0.8531664161228307,1.016353988840896,1.0914083609653285,0.9033365209446065,0.9133075837606379,0.7845490215435196,0.7610164979490376,0.7334759722062774,0.7561195925109961,0.6452964558143928,0.6164795192723153,0.6486710081775917,0.576827591351842,0.6306038061027982,0.4997638037780858,0.46574004396782204,0.678658635728362,0.5882482936921808,0.508126736575141,0.6329858584351195,0.7951182986117344,0.7534757819556732,0.6761740760662318,0.9566803104218582,1.1407707315930926,0.9745033783715338,0.7470099556511554,0.5702835932805297,0.5311543820597459,0.7576736464079001,0.6026275589202142,0.6776600000670456,0.6824471722312089,0.4189248225390848,0.38284748673447205,0.35436209855194284,0.3533629602088129,0.3595457503305827,0.7639993994496826,1.1510148080614333,1.3903994352318894,0.97129817985068,1.0552334865041255,1.7249515529115556,1.5348901762453044,0.9569942431898825,1.6648151510220641,1.9686858625290733,3.6883217125970904,4.6895706809836355,4.371640711060134],[0.4298798297673348,0.4311575050300182,0.3560005830535432,0.3180410482773946,0.348307429075799,0.3290580911549366,0.2878103397196173,0.34561995657451705,0.3723357196786245,0.3269389929595519,0.35469646809478506,0.43840722878424815,0.36246127971548786,0.3853337434525874,0.5273052819048367,0.46298599968712717,0.4646605800539599,0.4806308186829659,0.5778795783074407,0.5239081298145889,0.5351612580078002,0.5512711976256894,0.7876649475298031,1.1571982585009326,0.6516230963515414,0.6253141445823589,0.5383817041026558,0.42851881004229836,0.4528654621957417,0.44950667118403065,0.5059878622769685,0.466746473012022,0.5837885425116252,0.5608463801160379,0.4584359920189039,0.4808654566904313,0.4804434890141085,0.4583187682862131,0.46448776466284797,0.48288842326254133,0.580926179050898,0.6299182087031531,0.5725388584481272,0.8127212927142186,1.1521287865807721,1.4331588521019283,1.6612644550883688,1.051589629171329,0.8291210378425747,0.9727203864744985,0.8379441063770905,0.7953439649504527,0.7288979554640369,0.637128458879683,0.9011697063770697,0.6065266070127404,0.62537988555221,0.7316194102685528,0.6979237501752771,1.087076511000453,0.664555267927108,0.6030596656951792,0.5976102272773249,0.796275705973199,0.6109826015118262,0.5303038306644514,0.7408366459375166,0.5732089986981252,0.6956066477827585,0.6216132065823515,0.7209114087656678,1.0042468619022062,0.757141575372334,1.0259467102879856,0.5964245430406212,1.3145833977643615,0.5637595370036431,0.5983278226325592,0.5018801432653451,0.5358340488565491,0.5374623210298726,0.5764413603388414,0.7066877685917315,0.4319356072262131,0.4756558796310436,0.4403742721445347,0.49721839265965556,0.666485296082637,0.5163181460886151,0.6060451119458038,0.6178259114877617,0.8732701317551265,0.7344735968702975,0.6192496989796772,0.5512287175301038,0.6572631499272905,0.5733062548354492,0.5288382001389522,0.4612435396548693,0.662768438004771,0.4658009913542175,0.5563334785326741,0.42675872913053936,0.4104084330904197,0.5807548644014338,0.5307312352702628,0.6027299661858576,0.46900700869028517,0.5069266594274303,0.7436378563145589,0.5132205631891427,0.37676634322817387,0.35167905755377,0.31969306608178744,0.3561479936613639,0.3624269142397051,0.42330083801200646,0.4184178099282348,0.8180618769610601,0.4829084011757567,0.4902981968989066,0.42103398638445544,0.40393167646154693,0.3257316045814067,0.31056773469906457,0.31019855772404964,0.3333060901474167,0.30990179215430014,0.36135065863190585,0.4641078661620595,0.3701759453133966,0.41757761303283103,0.377120823328289,0.42607250903387056,0.370330965194734,0.36679076024241375,0.5378623483339146,0.41504015840093467,0.36890084527735917,0.3932881688632401,0.44422828688515986,0.6474912633926025,0.5928731584451004,0.45137505642151626,0.43665471938439726,0.45565357907626663,0.38608812142210974,0.3827388284065318,0.3476190507131234,0.37550509856351516,0.43391642039917605,0.4358691605109247,0.5858457720656011,1.3845993527772327,1.0672579050555124,0.5099184874727052,0.4151197863474567,0.39449622947305496,0.3800768242818195,0.37168206919165386,0.42196247384580665,0.43234141516225977,0.40484824231891203,0.4276732271998702,0.473971009910806,0.5208527732800416,0.43678811488714564,0.5302735827532515,0.5498833377879645,0.5026009176459348,0.4622965697621709,0.4146480718602163,0.4090109338062037,0.3986598320588896,0.37959842495728724,0.453342114294228,0.49587497160356275,0.6307362506705096,0.4292538476535494,0.4326579792924265,0.41959636604144473,0.3906985716508251,0.41151996935282914,0.45462347267267367,0.43795065993075516,0.5188835862724329,0.5981734756922955,0.6402051581419256,0.9513289162926318,0.6767894223425979,0.7799342369990574,0.6647419024761131,0.5416951482434205,0.5443574350894345,0.48478127185504355,0.5388717792235271,0.5267576995445991,0.42182026944328593,0.4119656087522113,0.47347128447447984,0.39010982862641413,0.49098147213127274,0.42391370526963745,0.41869334571814704,0.5028372703441818,0.5751524634303055,0.4983081778788178,0.5309511256566457,0.6231935037454533,0.6293040249726102,0.6556963785568881,0.7121349980674235,0.8334552052307234,0.7518821834021691,0.7932075657120129,0.7561972124960356,0.8883033413346214,0.6936191355269299,0.6279993011249192,0.6507556482652657,0.6135487416042272,0.9870435369876084,0.7038138268421762,1.1519911060094885,1.2278260530075475,0.7549726455060846,0.7624840425426725,0.8087848056291803,0.5147159709437334,0.43694159350296935,0.6440361446602594,0.637415748070998,0.7332912082668601,0.5142095511197304,0.8459271439571856,0.757745659421322,0.6751222555303307,1.012882015177825,0.4646637432964288,0.5991759303578642,0.6215897894006287,0.6530270598925285,0.855635448765802,0.9227314962065303,1.0147957899760651,0.760779918884416,0.7288989738165078,0.998604050028846,0.8674353824566255,0.7155469124056999,0.817036466422432,0.8971278121121985,0.7384492255768406,0.759277241066647,0.9125049407677168,1.0200756123366277,0.8334583459802027,0.8390271633826714,0.7197980539123386,0.6666320283248046,0.6522032459094559,0.6933326098831815,0.5883315381430029,0.5715386116296084,0.5947072261723407,0.5679849302671708,0.6223923014054267,0.5080494641854183,0.49052466637396747,0.7205340651761739,0.6215878141981636,0.5580600145757175,0.6829049337259817,0.8632640491286685,0.8168601153835545,0.7338373297704245,1.0234280869799952,1.1759825344109478,1.0333028721629705,0.808029845023725,0.6086131083962484,0.5707890191274116,0.7778227960829984,0.6373262015760291,0.7399243817664971,0.695694154953018,0.45326794042901736,0.413968393337906,0.3715592987537066,0.37118364326612474,0.3677706051838709,0.7248398011716753,1.0479188270946775,1.2951614390056212,0.9578304440536858,0.947617827700137,1.5522626866754703,1.4979275500754445,0.8760731320373134,1.5349895790507,1.725453519250163,3.317797325849506,4.147432690604527,3.8078235607222695],[0.4370679953905915,0.39091222098206846,0.3745690347956109,0.32604119119444663,0.38529742831213665,0.3562460611091789,0.2881480099226186,0.31200916137414714,0.296871225054553,0.25101953078791467,0.29402533992577046,0.3747989563612276,0.3057279399474549,0.32038001589476833,0.43503708862211615,0.38336099388094225,0.390368885430443,0.41913838904248335,0.49328355998998236,0.4401566731044089,0.4411620678103909,0.4443805508162111,0.7156610685904152,1.025183970427939,0.5790014698324256,0.5435638932110495,0.46595896647311474,0.3712154426888553,0.38224912633724506,0.3799715049763344,0.4549663447419116,0.4060640766297594,0.5470232366605219,0.5206206896771075,0.40868668787349394,0.41574999509007105,0.4074566058808599,0.3746683631190969,0.37172478046543245,0.37852778991700053,0.5005686990288466,0.5451192671620229,0.4686887141544206,0.7109804412886208,1.0471190970310753,1.397456786582726,1.5536552837456956,0.9437476277033364,0.7682876855876449,0.9077814083741558,0.7582575831919627,0.6915482698039443,0.6254723139941794,0.5345250399203522,0.8780604914951721,0.5008585265753308,0.5488733188532363,0.6254254896554173,0.6492515993529846,0.9735996307508762,0.5962516064549308,0.5430185945736663,0.5293352868328959,0.7296355528814079,0.5469505279578835,0.4783841235232058,0.7076620792923322,0.5353872484534508,0.6606595716451855,0.5634081047818547,0.7248860110742252,1.0695121815798054,0.7320076876087461,0.9612847703373901,0.5440259002879401,1.234368037436216,0.49716507858909803,0.533831194078131,0.44485546224337447,0.462696979292742,0.5042400779544781,0.5056835052160488,0.691567183795442,0.33904060280085946,0.38399593134280335,0.3461204842049453,0.4218405022107993,0.5844812000711649,0.4406349266715646,0.5714791935384897,0.5526402443483684,0.764406536619266,0.6546533479102769,0.5835724845336587,0.5095431505952711,0.6180053258213541,0.5240289848977654,0.49423194496004735,0.404592950322997,0.6469612392503787,0.40432777127557074,0.5752218465085526,0.36259500728828364,0.37563973435593995,0.5221340719283083,0.5176501152180347,0.6247027166274564,0.4663892895248044,0.5080955880697767,0.7356988230527,0.514085552111384,0.3371496974629644,0.32585003597897516,0.2848468138556634,0.30983187301164433,0.32499762206556404,0.38252678152397135,0.37250815977695867,0.759936259451562,0.47846304721650434,0.4814873711235416,0.3783264880339683,0.36791275461968725,0.302904924554416,0.28397717134419714,0.3086199319491549,0.3449953669022444,0.3016530020941182,0.3450587454868095,0.4259293449850368,0.37482689175681944,0.43564788650142233,0.35724327816226076,0.4088006712542045,0.34399497994380784,0.3427504761032956,0.5407772086354857,0.4043361440623823,0.36382295740879156,0.37071012440917145,0.4263087789258855,0.5934935938955608,0.5573841086025008,0.4118701895693048,0.38085922798550087,0.3818530584809182,0.31752451893935907,0.3151954298128032,0.28744670187977756,0.32205361140214983,0.36925042993764007,0.3940824569660636,0.5785486030803177,1.4248906013273028,1.031598284514555,0.4836603843146151,0.3750260408679688,0.3633716345256116,0.3360136300311678,0.32138106318777004,0.3525694878898723,0.34763920635350704,0.3507470278619178,0.3521537084308851,0.4280582299964108,0.5041646586073121,0.41648477551038754,0.5050021494366853,0.5505027709115302,0.5068418198228662,0.44464937478140143,0.38431113780189097,0.3720337957959436,0.3467039263200987,0.293410904425187,0.3694244118943153,0.3944564289754666,0.5989237047176634,0.33779956317847715,0.3726810270777749,0.35054293799582004,0.3305165816745175,0.35877849630257674,0.40295477552106534,0.3979107118244457,0.4475192901902786,0.5086026916327352,0.5701731107388209,0.9065055974787676,0.6357288177899809,0.752622100502783,0.640233863865022,0.539587175317225,0.5154273880152821,0.4613042936471126,0.49527512938364593,0.5095064371478609,0.40101315184786174,0.42324639709360334,0.5138580297095403,0.44150741856862585,0.5431822043740534,0.4644199202648446,0.4694383630652873,0.5806390087791773,0.6336913961179798,0.5125039672846206,0.577229623465364,0.6890708417624778,0.6586591746130258,0.683742492121528,0.7547521512763078,0.876327219016274,0.7827511996783105,0.7952830222748428,0.7576179562476566,0.8856730198098988,0.6530497561715337,0.63350195296466,0.6809007760205611,0.6436834254083736,1.023390895076824,0.77543724325917,1.2877733045093331,1.2476741910116413,0.8154747066466325,0.8317034547047031,0.8772104345054375,0.5336912361656345,0.47745693823894764,0.7159675102060339,0.658806464721975,0.7589313810310039,0.5527791628196206,0.8113966411620818,0.7130489233396404,0.6698524550169551,0.9461084040336615,0.4883918845796448,0.6018859641839819,0.6739216128657007,0.7356781883767516,0.8976445372963636,1.0385817287665313,1.059855110299326,0.8099491807842654,0.7967909700729316,1.0834826205891304,0.9247567856707417,0.8071368328883317,0.9174281187551602,0.9822520434355988,0.8166635146802277,0.8429728941944613,0.9921082179008385,1.054216427704346,0.9093922239793804,0.9290184158912558,0.8002899630122112,0.7589831074030199,0.7424251326845095,0.7550282113920026,0.6682883371075041,0.6417809805365202,0.6902638068210015,0.6319210699553868,0.6684720243133837,0.5475857012665911,0.5314971699668469,0.7238773616173357,0.6223453248550633,0.5895366399384544,0.649973127017523,0.7851991189668792,0.7634041147090801,0.6818769686410939,0.9049761697143113,1.0419746834366717,1.0149673658489025,0.7483549609528338,0.5816218676003474,0.5426667219624254,0.7303077222079466,0.5981894182437308,0.6779889396505429,0.6911204414375787,0.49279580791118444,0.447845258019794,0.39943507171697146,0.3941770079378018,0.3806032643232653,0.783520195947577,1.164453316916459,1.3216585254685478,0.9628003631872377,1.0769298365438402,1.6566479591328713,1.44093752659197,0.9453633458633134,1.705108327271027,1.8511165440882396,3.4518237003483874,4.387018955755281,3.9884502079296924],[0.4556513663630724,0.4403705156574046,0.40429771000014564,0.34508668407463866,0.4272923517237414,0.38053327008642235,0.28187530367630986,0.3115515332861232,0.3317913157155707,0.2745316769769719,0.3212460340722639,0.4067581898333577,0.30691236285553497,0.3542803578977066,0.44458681656731536,0.3995772980860211,0.4334734596006483,0.4687390993595496,0.5487541510523393,0.5031868682296878,0.5282859305132358,0.5526228874462261,0.7495289912299129,1.0799973253191093,0.6824502308999885,0.6329617786834735,0.5276617424974719,0.4146148497334038,0.4327272732148766,0.39151243736066366,0.4620674848631246,0.4094107241758081,0.5052881503093323,0.5088846398563779,0.4143739167583867,0.4327794933035644,0.42582395722234945,0.4161763101891076,0.42015280781437336,0.4533865592038437,0.5600356253558783,0.5920331923387963,0.5299505809000614,0.7745290688567904,1.113005946680119,1.4275534846947309,1.6277112353406915,0.9920044193890313,0.8069008543285138,0.9667789805945367,0.8138278711468773,0.7578471633481288,0.6832243024932773,0.5973303369585932,0.9113439206408852,0.5585368462182037,0.5949948408283728,0.6971164928112259,0.6924164597437488,1.0929641825825998,0.6642889609694084,0.5773343981316854,0.5466639716470401,0.7458725400378898,0.5808454506204679,0.5050798184813854,0.74397079668049,0.5382107303690686,0.6672593302644251,0.6048334371861229,0.7467073317282509,1.009661627007812,0.7469632786939586,0.9696423553724377,0.5728262103015158,1.2149945151814017,0.5232567504935481,0.5462808570989456,0.4638620533394521,0.49585588400044606,0.5032601028446283,0.5134406695230764,0.662341422639309,0.38118367274068504,0.43618242981508193,0.39837809664235946,0.4455785602017153,0.6266988866002137,0.45459015805213715,0.5665558172886019,0.5552281092417533,0.7825260608774711,0.661177877256428,0.5589466693612636,0.49831595456552746,0.6123790908096175,0.535378047150285,0.4688589538835586,0.38966964661777836,0.608170829632485,0.39178660249842473,0.532017915063226,0.3677103932705724,0.3630230578841181,0.523164941451118,0.5017951803554366,0.6148600615093007,0.5040151936618986,0.5543339445992762,0.7465511295963282,0.5873321591713336,0.37705030767357384,0.3414121793765396,0.34212768890547285,0.33581484315751975,0.37789985183171493,0.4336242315370173,0.4519927747718514,0.7713751742733487,0.467818991008514,0.4909474527077315,0.4061802296862723,0.4183296605929805,0.3421674863310855,0.3322889466365464,0.3955091542765685,0.36265052570920575,0.3496641305177695,0.4013500319385613,0.47250859572543613,0.4541089298835954,0.5123182302889888,0.4546936790026916,0.46407846894596333,0.42439062518549603,0.40632189509262107,0.6073036910564052,0.48076020941984976,0.4169358830047839,0.40755344765721274,0.4538558231748179,0.6503749004357855,0.5951163272530213,0.44422348056178856,0.4314630436186269,0.41122389575468943,0.3630087795028422,0.3655475368378323,0.3128367299529055,0.3511505577001122,0.403928163023757,0.4023822603253318,0.6072358579576427,1.3928316614664442,1.0020784751924225,0.45479697593743856,0.3463150724295577,0.3459654095068824,0.3300598261161492,0.33860104221181186,0.36295239863144446,0.38960113939073915,0.4109124309542223,0.41181260851419077,0.4962473852896404,0.5550041848008336,0.48987058636043124,0.5831025592169475,0.6144522787369701,0.5673896998981501,0.5003820495453617,0.43438093102215974,0.4365131500541854,0.3936898154184056,0.3435805625974123,0.38453505923432946,0.40832498530545136,0.569869936363309,0.37071916391674903,0.38474632713203033,0.4049911300615049,0.3725818144983815,0.4091364503397208,0.4772665335044528,0.4508654844518874,0.5241288435279167,0.5929385801238947,0.6333392487923735,0.9317063379307133,0.7091096770490862,0.8243401099598131,0.6220200900565112,0.5602427898364326,0.584644322412986,0.549754297098603,0.6303272699519907,0.5985777878749861,0.4847772779149401,0.5015736796617746,0.5850920091377623,0.49322274997517984,0.5552918392316609,0.5129065168089143,0.5245462650931974,0.6043796986870292,0.6659232574354956,0.5572270809094695,0.6225611252599845,0.7126704710277311,0.7035444804753205,0.7144190940298359,0.7784524148252592,0.8960838268492313,0.7930022501123803,0.8228511505221365,0.7815110084812145,0.9124720889601876,0.7122233290041617,0.692611315182208,0.7198816715736664,0.6878564044281354,0.9779920289324259,0.8452413397952043,1.2839624111235732,1.2676685313177867,0.8142081795854638,0.8430049399266469,0.8407943771077235,0.6308079796841752,0.5420327941324583,0.734184859066686,0.7028060265106744,0.8398544865117042,0.6282383601183339,0.8378039442487322,0.8288287313308965,0.754032551609912,0.986808705282279,0.5611788355201299,0.6351576127277739,0.6608012921069151,0.7131121262939869,0.8467682693179701,0.9502034673950274,0.9819623266055093,0.7850476314183649,0.7550345723707975,1.0054203758834634,0.8817046742325413,0.7776359565441919,0.8622194324223421,0.93508073194995,0.8181571629471633,0.8358416074853077,0.9561207197416757,1.052912627425535,0.9106562240285487,0.9333777428852823,0.8162832448352911,0.7667714040118138,0.7262063929799472,0.7470031138329772,0.6979193230620613,0.6769672366317494,0.7125748567011716,0.6834665795653717,0.7179871489280089,0.6139126426039905,0.6128771469296124,0.8001784088815727,0.687134887714509,0.6846741055502227,0.6959903975655276,0.8433286123725001,0.8125064846417412,0.731787752982316,0.9603909100108716,1.065245492904909,1.0622510892369765,0.7770603151441831,0.6252979678249702,0.5959084743067344,0.7324974701644137,0.6356653641348552,0.7285241611857827,0.7156346483593834,0.5639487008790323,0.5266828572007799,0.4662026572551755,0.44219662227396256,0.4282208647948113,0.805561554553779,1.100848505841253,1.2056714552118144,1.0133245324420181,1.0228477530626756,1.5071338106934093,1.46498132177959,0.9484113942821166,1.626328551403052,1.6068741430991609,2.9885516954677107,3.6441107675844475,3.276821592406591],[0.400674106942014,0.35921843409038584,0.33959536753244707,0.3201745605778256,0.3830109672428063,0.3489364406119349,0.29062123783301724,0.35415206563445795,0.3896344551161555,0.30118489676655286,0.3756004647512315,0.47818374057540747,0.33584545769763685,0.36938721221845155,0.43333865294475393,0.38716411140267654,0.4116557254561152,0.4219342515496248,0.4641255084575079,0.4075964173787741,0.4238102189722908,0.4543723387086708,0.6509240167530594,0.9118173009991475,0.576004998039078,0.5138562446104731,0.420005281438862,0.34068285813935445,0.3889656622987189,0.39805497586473004,0.4287331274202621,0.42170183794446015,0.48987114393770387,0.4933513535042351,0.4081621665335421,0.40772124529017534,0.4109320490102382,0.3872264064916953,0.37790582683485047,0.384109016248042,0.48997551109064136,0.5232737251520927,0.4541249761259333,0.7161419018407613,1.0547720456684406,1.4092447205103735,1.529694552798131,0.9384453114513641,0.7673737543789474,0.885967924368087,0.7551772495339191,0.6807644184011188,0.6056848503008241,0.5343175307129033,0.9055622271624555,0.48141258270409293,0.533002239764067,0.6013877280795367,0.6362204128357581,0.9790543227053985,0.5642358108990155,0.4982846994163487,0.4639820362749411,0.6161956108158729,0.49011881463346624,0.44123514782296,0.6764557865231268,0.4862617309941143,0.6073608095615813,0.5304670546374597,0.7201319901009016,1.027758968008208,0.6918019368759839,0.8680955466390854,0.5173187687328735,1.0896316857874107,0.44032613630536904,0.4505562751751484,0.40936515003185653,0.4457276626244716,0.48698857626574715,0.48200569420958383,0.6775949719993539,0.37182468882175373,0.41257127907425606,0.35720706377071687,0.3959966197695206,0.5864244639389191,0.3925292735689073,0.5315098877533064,0.48676676753050463,0.671471823243875,0.5628989429411292,0.5117225469196517,0.4788044874777399,0.5702084417305373,0.529568614745304,0.5019667453241856,0.45515900544019644,0.6529429877080615,0.4659341609294579,0.6035370424631908,0.4215989529105141,0.4527055240392077,0.6161374129770939,0.5415775724166382,0.6691456838962393,0.5002193572287892,0.5351402185838708,0.7298851989115304,0.5816975211297205,0.36682158522783465,0.31842243492461086,0.3232566556582808,0.33297210961954365,0.30820863693436823,0.35080281641067296,0.3480325117523434,0.6431816256603387,0.4116886744721656,0.42265496123521984,0.3408585858043139,0.3344551520056939,0.2759967816241697,0.31312077703657754,0.3928601106738805,0.34966717131456954,0.34693740875800594,0.36522574099280747,0.4450190835190872,0.39233574994938264,0.48011886579748053,0.39341652980905517,0.4487253853097726,0.3599906795516722,0.3498409841983077,0.5392534037212727,0.39434781220476794,0.32607144297602,0.28552485803230654,0.3862479594623355,0.527521334853518,0.48998944355764357,0.3507346303985819,0.34860169099167354,0.3528586434095122,0.3011618175278393,0.35106851832371955,0.32889228335862924,0.38792148392671333,0.4550663256090047,0.47959608425973255,0.6841861957680369,1.4492564448147867,1.0038399897569226,0.5278431938330882,0.4207739446995097,0.4331410169637651,0.3750130627038887,0.38808964563158554,0.35106767475976264,0.3607701432260741,0.3311646191611912,0.3401479698492858,0.39322351225989977,0.477602355803827,0.37206642865100936,0.49284853571650633,0.5643012861218833,0.48882068276345847,0.3937325352463816,0.35067658727162165,0.368139639796662,0.38196424982853827,0.31946659609506667,0.39444040521232493,0.4242489820696837,0.5830439762700189,0.3653595513417231,0.41567872449595394,0.3728535819607395,0.3838046757524799,0.39685492989629967,0.43306154901576316,0.395781922736231,0.43626191396504926,0.5204393166636003,0.5442913103890851,0.8552379983281845,0.5977148716932819,0.686615653244232,0.5153210589631017,0.5018861828336628,0.5252485199478587,0.4690142441645161,0.5105698303187161,0.4787058380133415,0.4089673812348331,0.4386085338073039,0.5324860329737948,0.4837578086389394,0.5456352662293857,0.4863009453204239,0.5115144891216359,0.6150379701854165,0.6569082566454626,0.5557804941215368,0.6333693270779386,0.7382410428232551,0.7067525981077224,0.7329691047473244,0.8072156757707784,0.9071027276695843,0.7938943794761245,0.8379901554705482,0.7869700548351383,0.9429370030680103,0.7322534767848625,0.7063092906146031,0.7534290643102225,0.7119580893132615,1.0168687789984006,0.93222878107951,1.3177860383614795,1.24968428082731,0.8338955655303487,0.8413715358243407,0.8252009238997903,0.6420308514669459,0.5773936487759755,0.753562837957813,0.7423229734030924,0.9375750079672571,0.6662631515020536,0.7164488079714737,0.8400169791196807,0.742498054024442,0.8808009164056733,0.5345807058665876,0.5942451269222974,0.621959134127992,0.7024746981127521,0.8099020185106459,0.9607890077268065,0.9246996268061293,0.7662149283410764,0.760084621545297,0.9770447533376827,0.8531882793556874,0.7742097420032164,0.8567058401381921,0.9309295149479611,0.809959238769254,0.8495446247172987,0.9759305494308244,1.0535678040550978,0.9365268944066463,0.9714255972907249,0.8538436046360148,0.8065701291682633,0.7628298369907007,0.7691014220898055,0.735413231298112,0.7001878537378794,0.7483952643038003,0.7121886957198718,0.7425237869622299,0.6353369627645319,0.6498438109383744,0.8386588267211432,0.6984997709244908,0.6971966661645668,0.7046508744632083,0.8160539991033922,0.7876116168860297,0.7142843973855887,0.9117918745196423,0.9573603918026091,1.1428675084292088,0.7675065634547403,0.6023672250667982,0.5696734583487761,0.7097665792654698,0.6162847360181366,0.6846377764471449,0.7101549839715979,0.5610416640274667,0.47984633137560756,0.4150224109205209,0.3990875791100531,0.3985851771652493,0.7910638558890901,1.0748357241284967,1.1223263059790267,0.9378832934198997,1.0002900899289013,1.3463079014558241,1.2471283401283277,0.8638388597979805,1.5301067513668802,1.3505728558968335,2.599977531202162,3.2116320010768544,2.8633212396725725],[0.46062646670115104,0.40490428943011675,0.3918906240036887,0.3434383621213786,0.379684523189741,0.3801564998530936,0.2685625122540764,0.37062439356036503,0.3249700855094509,0.276334230385267,0.33783856924886646,0.47226690507211383,0.3154918622617852,0.3408124654877547,0.43715508712350337,0.39105471296577204,0.3948375546485429,0.432599796747612,0.46035920697577254,0.4153170081837487,0.4400225928442662,0.463014221033951,0.6405086921415705,0.9081364271979124,0.5729920473916393,0.5236530595409489,0.41705452613549227,0.3392694110288064,0.3896365971850654,0.388069922094611,0.47118916031738584,0.4221996094649196,0.5402514021050163,0.5261766366231904,0.4258403188466938,0.41260295970928423,0.4205045376695568,0.3790014474297198,0.3567330709481839,0.3608672422793175,0.426597943602985,0.5122321700451777,0.44129169502176113,0.6675713187616814,1.0023140196522722,1.3789845846727753,1.4661311401204398,0.8713531436928925,0.7152926639285279,0.8296333637055222,0.7237684749463568,0.6189578004735455,0.5377879619984278,0.4529037473513416,0.8656819730936968,0.45021022247061226,0.5199720270721182,0.5662319216778702,0.6707616394218301,0.8925892731199188,0.5903396870349032,0.5172447883801722,0.49554390710261875,0.6666514130372276,0.49692801293323685,0.4634865091140093,0.7234258874513533,0.515668484652686,0.648422288013803,0.5520696352962909,0.7655532290096507,1.1635217400106894,0.7377005267165082,0.8802426609950652,0.5512751474829317,1.1426408638351768,0.47401124351288054,0.5058889339833742,0.4532240018313216,0.48826381990095946,0.4976261383191732,0.48437091287995593,0.7386443606449212,0.37269601673225106,0.4111810884090596,0.3708049601767003,0.3905177208023694,0.5947087136414398,0.41254677902418585,0.5585718887863712,0.5118224596060167,0.6943624921092416,0.6112243161475952,0.576665977948169,0.5277979032088082,0.6251859884979699,0.5799521511816869,0.5066701896460072,0.45517600971165506,0.7182367736406922,0.4475597306776528,0.6089783561949508,0.43659180126557434,0.461012160468147,0.6078713438404278,0.5600149618815465,0.722824551236829,0.5414460968387969,0.5826544153480006,0.7724416141584953,0.5881993782194046,0.3689716221930446,0.289793640368577,0.3136926484328134,0.3120426078672628,0.2986298039822144,0.3481934608726017,0.3215217750127808,0.626793805061378,0.47295132563489445,0.43028427025294486,0.36214782524370687,0.33627482974202066,0.27540304043933245,0.2913803212074882,0.37626392303090134,0.38992467347173004,0.363036417706948,0.378806625088384,0.4523716422805273,0.3991872647439673,0.4912302248333282,0.3954698831735558,0.4959207626219449,0.36921554316122207,0.3617041039711312,0.5437470345394435,0.40400282424952666,0.3406491257676072,0.2872969372798642,0.3731226931104258,0.5156620432058182,0.5023998424704147,0.3513404629226934,0.3164386070321071,0.33693085428398184,0.28990291088694653,0.3335078541878842,0.30987755647771037,0.34681375657630076,0.4389690225985662,0.4401506918143921,0.7258856450407373,1.492807437427806,1.0269045942529866,0.547864153073131,0.40857981991089004,0.42492844732985613,0.3722925925896274,0.40230753643870687,0.3546754079033127,0.3455470225770679,0.3156768863360753,0.3255634071598521,0.4037218647340257,0.4562286038745089,0.38560312407696884,0.4910194830888746,0.5662725075113253,0.5029981485092097,0.4118916202353646,0.35906317142644845,0.36561908051317593,0.3811492375992869,0.31756241339027347,0.4018288201668721,0.42634997434426203,0.6609315775116164,0.36953548357207855,0.4175163894512304,0.37965321419221687,0.40740873173099157,0.4034123340633761,0.40804702952343863,0.3730926434605477,0.4226647236456955,0.5056134577242526,0.5327923518169868,0.8488152423379208,0.5809084729955838,0.6585507060158653,0.5042015044340259,0.4809045003758653,0.47834483541995243,0.45497450385848026,0.5037464038238834,0.48233466189662194,0.42280103786360196,0.46657953999851814,0.5235794746934147,0.5583074732946819,0.6224914692301382,0.5301526535688473,0.5985093619350871,0.7154811050147255,0.729415674750556,0.6492021519108512,0.7309187635488471,0.8298725209520003,0.7712568027562556,0.8260490976001178,0.9113981711367084,0.9713068921006435,0.8924347751562569,0.9474210179004481,0.8922437422521342,1.0314251479719476,0.8388825043265465,0.8245705927897219,0.8812370172160422,0.8387731195657818,1.1212259480034856,1.0806897839876193,1.471829729088796,1.3271188150358342,0.920554963107051,0.8455804390885158,0.8878066620082214,0.6672258378996834,0.6910650256585735,0.8610844312212765,0.8305234631771159,1.0365823050218386,0.7527958616643823,0.7536634479468631,0.8638983383937702,0.7836095268493336,0.8817020668693201,0.5936727636466128,0.6041312101083876,0.6923332103461669,0.7865323167723837,0.8772570981894793,1.068530235616017,1.0098793338308971,0.8226703021494371,0.8406437519909925,1.0857861479425266,0.9215800283244218,0.8641576145003146,0.9497382059411739,1.0069148113235,0.8907031874845639,0.9634308672263129,1.0877404142408444,1.1029580447434468,1.046561936419868,1.0935390467844606,0.9737578862229429,0.9305982845644182,0.886094955544834,0.8971902966704629,0.8643611588449823,0.8285763018104177,0.8874236083484773,0.8517800578349665,0.8738657152826057,0.7512610036753821,0.778577378110216,0.9524448341755628,0.7925119943074936,0.7596567192320131,0.7966141282597556,0.8809841082557209,0.8383005018778346,0.7822525024576155,0.9601671404129297,0.9687283908092226,1.2184491427139357,0.8340957299812475,0.6836824458769192,0.6612582712244928,0.7938240645015499,0.7018693361913253,0.7543016093098213,0.777823160299048,0.6282002951458717,0.4936600591211464,0.4470101091458543,0.420042581594187,0.4215400384087076,0.8612563264530361,1.235495850145121,1.2560036159083365,0.9628333547429231,1.1675787795613535,1.5129442517392941,1.2163150697307217,0.9244738799568266,1.6809546667232425,1.533379402762155,2.915185222194044,3.8347106039587957,3.362563573647598],[0.4489880402280437,0.3812403737860676,0.4175340412342415,0.3197481809815708,0.36984253399730826,0.37582700720175444,0.28580535954860004,0.3560693910866092,0.31755665462148713,0.30676527763592953,0.3665141515884935,0.5100824843391002,0.33882919823973456,0.34174049435444204,0.4529415339135864,0.39921657448343745,0.4058097859353358,0.41483290173621207,0.4398037763624964,0.3898153352421642,0.403335311353518,0.44819667624357695,0.5668634556220793,0.7988878003766585,0.5616911337527308,0.4942685667238996,0.3940988544776744,0.3505301624933065,0.39332885192761663,0.4032485448349146,0.44926000170034575,0.44437943851697914,0.49231761949843006,0.5102148432454567,0.41859200750684644,0.40056230306715657,0.42409081893379913,0.392355484698027,0.3740908258485457,0.38153840342638695,0.45293427901527633,0.49474874642229905,0.44098794734816943,0.6471496358083944,0.9611738677486306,1.3712380250347103,1.4029908783651028,0.8415136949139332,0.7078915017993646,0.8058497897297151,0.7217627055691523,0.6179817744816288,0.5499458433011253,0.4892829731470212,0.9307760507775334,0.4713782211457059,0.5273811296107513,0.5755427372999151,0.6492631423244248,0.8732897447480377,0.5744480583249549,0.5338432358037631,0.45795988827027556,0.5597505635954069,0.4443919491845082,0.44612764665857324,0.672673615804949,0.4937978697383927,0.5977339099742845,0.5158030402705667,0.7646262661364083,1.1072489895139332,0.704324619128891,0.7869657843317234,0.5168704863455065,1.029031821500702,0.45499910616353106,0.485780851255106,0.44041848668309364,0.433307851574243,0.518989148736339,0.5131235110742534,0.7839739104081248,0.42596198688469056,0.41657185587382395,0.3981089388497634,0.4020826062982155,0.5903998229678168,0.3862269396661837,0.551874060014378,0.4773747158856871,0.6195414190712748,0.5526062790882383,0.5401094188583399,0.5049857188106045,0.5933681687386954,0.5988162574847782,0.5264122726271424,0.479344722770226,0.6794365125480024,0.4711955059392289,0.647773651122426,0.45147291444988463,0.47982752923507066,0.6802569526332062,0.5721556412163237,0.7682260342859745,0.5895825658457706,0.6122120936572584,0.7955792804943386,0.6404487580671346,0.38784856269649387,0.2942258528146508,0.32913016621869634,0.3308661445691309,0.321336895816119,0.3674866756109144,0.33047345832271097,0.5537587305352467,0.4396136120158158,0.39973274884246546,0.35717976615190905,0.33830989074232387,0.28899781935532964,0.2944048601156948,0.40056018839449503,0.4090771102253903,0.42272952190572805,0.4290594481891993,0.5002943182981779,0.46709458852758134,0.5616723199013175,0.4816211674334119,0.5527333901255828,0.4446491912913554,0.4289175939819684,0.5720783985810258,0.4448173535196409,0.39437362303633233,0.3344203968987102,0.3907969727812243,0.5100174210142019,0.4631885415375957,0.34479436338077635,0.33522526839244315,0.3469930218304685,0.30735956122673735,0.3581043107052777,0.32281415690480864,0.34306678283383857,0.45182387245957256,0.4485516228776304,0.7579728603865539,1.425180601114334,0.9378794598573386,0.5424718359790505,0.44236287356199633,0.46340952446709094,0.39431140134430026,0.4174295530634371,0.3673623550868391,0.3707398911354129,0.3434848616906184,0.3494013281659602,0.42568911129026316,0.5359423985192937,0.46085803119055463,0.5539252074874907,0.6328912475433749,0.5708637610698118,0.46280229988946897,0.40686460298444854,0.4068775699031916,0.4282117348791325,0.35178619778499765,0.4442110920966755,0.4354528508202134,0.6797813847717512,0.41149260561198975,0.45229770418418325,0.42900109943045717,0.44940210999443764,0.4726819156904625,0.5063294726810726,0.4478735205583566,0.47579195721411244,0.5183022427614625,0.5688942619130074,0.8313621119134522,0.6164420680573219,0.7055478616941566,0.550982378734221,0.5795251098187272,0.5913386511033675,0.5485289023824108,0.5634480359630967,0.5317379375849373,0.48813619623998744,0.5256538643688514,0.565358954943676,0.630518425721585,0.6674599149057043,0.5736455653620466,0.6604978643470605,0.7675927336919431,0.7655876623139691,0.6834518851586698,0.7889643454622043,0.8650798661957021,0.8085070364425151,0.8744272736133564,0.9454681030769145,0.9871316738956513,0.9279576460882307,0.9811543828769501,0.9441311932454253,1.0729436258215106,0.8945178624338653,0.8847073535060038,0.9331536126257208,0.897106014973845,1.12560777724912,1.1682048738762933,1.5107696620638877,1.3438536967277601,0.9551404449583759,0.8595388367424275,0.8975425856298498,0.7461366642441924,0.7872060678177877,0.9343544178159592,0.9030214933105799,1.140516159637157,0.852962553891162,0.8042550514617174,0.9356835618902888,0.8388781109534964,0.8560990221190907,0.6534705823603449,0.660682660397192,0.7299007807351314,0.8226807218219394,0.8763590157442982,1.0932408653578778,0.9758099344571173,0.8427450148487131,0.8606576481315219,1.0700028116024574,0.9358327928981294,0.8831509042614507,0.9486614120708656,1.0018213144043058,0.9023801169596737,0.9718755443098511,1.0740429661178288,1.1031013658311497,1.0514694059743797,1.0970581310476577,0.9970039859935549,0.9550175231762,0.9177837220196919,0.9262171106988185,0.9085981658068325,0.8827061299777134,0.9495221515143281,0.9168652248867666,0.9347996233397594,0.8227319297496812,0.8621067261557063,1.0224138579630857,0.8582537460888945,0.8280574339800734,0.8756044934780851,0.935295558100288,0.877622180378608,0.830383204749587,0.9693367805066778,0.9771669606490685,1.2880501101696948,0.8733841026977066,0.7357289768044264,0.7166560055333294,0.8438792582449308,0.7655075934328401,0.7923232400612011,0.8331145676161064,0.6775671119683564,0.5111455090397853,0.49540812930655914,0.45541436745577724,0.43665504125632304,0.870605442908598,1.1913649001110895,1.1266813219050267,0.9238615486806329,1.1346041839172558,1.3043700020944664,1.0171544983855687,0.8450421260417065,1.5444234107339938,1.1747404560065522,2.3847052539286677,3.120576219168259,2.7492273165227266],[0.41680289840856083,0.36913301613898414,0.4232494256879183,0.3190350937739369,0.3747178085046722,0.40903276827002455,0.2974092714437229,0.3955637675594539,0.3389718171024549,0.3090688444413389,0.3774101251935228,0.5194650965258335,0.3582577407169705,0.35365395754532236,0.4706602620421758,0.41814855515432175,0.41785468776558415,0.4274196823375917,0.4513287089852055,0.4139301051733375,0.42556520790673663,0.4532949112082014,0.5976697372357439,0.8886346553473362,0.5580376350420843,0.5093053443326622,0.423704929648512,0.3601221353128923,0.39927007101625367,0.42337766776076186,0.4773473271790543,0.4950740933117264,0.5723189789027622,0.5739689230189324,0.4626364166336835,0.44389001075199697,0.4522606924179203,0.40735929623617306,0.37061285436907754,0.3632709029423299,0.44399456715602187,0.49637425868036633,0.43830124962589384,0.6472058534454384,0.9911997762713962,1.3793933818898327,1.4477251749751567,0.8650087154045737,0.7250043856402557,0.8339696508050112,0.7244839338395012,0.6143102973797833,0.5344086645655733,0.4769047086559029,0.9207784123631859,0.47449622932609153,0.5312244138806674,0.5775280763885653,0.6588594078811089,0.8793277470852815,0.5627762465754694,0.5306921343290615,0.49621710314369,0.6242875290863671,0.4817899787686132,0.46676110638138024,0.7186125495305983,0.5330385298405533,0.633819830893466,0.5415287919122385,0.7700114531435673,1.134934407453033,0.7154798707216197,0.8474067786339354,0.5519608357852837,1.0492162627746535,0.5040167441585999,0.5442169755000048,0.49778983656236847,0.48462304507686094,0.5430273217751073,0.5049013423800206,0.8103630725576547,0.41612247999369234,0.4138934821756842,0.39727216474367205,0.43051146704420445,0.59863201449869,0.4348636779160221,0.6015910753753936,0.5443168526230698,0.6618343038116343,0.599191039681794,0.6075474574517681,0.5557806678172319,0.6481971491938123,0.6306759085775908,0.5669332234927504,0.5251067989383341,0.7554814517695048,0.5079383496981578,0.6762631786709558,0.4926789522076856,0.5008919134780583,0.6897493409662158,0.5809941447452721,0.7688338716337316,0.6039294329264733,0.6263033038452208,0.7926256429898869,0.6446115467078101,0.39129893935750204,0.307259807082708,0.3218639867419268,0.33196838430546094,0.3088989501746612,0.36509240824545053,0.3141594933194689,0.5963762184959874,0.46331361586727193,0.4175110159430086,0.3587790189246453,0.3186250782143669,0.26546940964522986,0.2855579945681785,0.3926302094347928,0.4032627674234953,0.4170781401692493,0.43272379933440647,0.4993674744050337,0.46823221994001013,0.5626467908009242,0.4740758311726272,0.5480793677653208,0.43736338405922603,0.4191066687565156,0.5703481529207284,0.42479450160212784,0.3480123611493555,0.29436249982191703,0.3745952613642805,0.5130974554072365,0.46825894304710836,0.33436970064040367,0.3336390845619092,0.3589689191412821,0.30649326030418733,0.3532352387949282,0.3295093718379584,0.3476981443842197,0.4940159753185223,0.49880179089960563,0.8100648847868993,1.4753434775013348,1.010976865129349,0.6119437417910815,0.4885890100817488,0.5034750051221294,0.43344943946878445,0.4306716841614248,0.3739858781406766,0.36535278409971506,0.3205662043896793,0.3316809925785395,0.4057755958538698,0.5063179421006501,0.4407492725060054,0.5422499694172189,0.6260534547452866,0.559548276348851,0.4466245156393351,0.3865745851162073,0.3939853068768491,0.4259741901464294,0.34807347377437003,0.4550123492874472,0.45091947734712123,0.7067520380165748,0.4134961906306072,0.46186638853554046,0.41816825553768905,0.45148340008680066,0.46417921894665815,0.4937040310841026,0.4316054462951801,0.4543334729936453,0.5029707808640878,0.5537681887687222,0.8493488622727123,0.6201784326186758,0.7080498428403782,0.5354776506293225,0.5593534705498572,0.5748042186705227,0.5397801991554302,0.5701145452365391,0.5301609192356642,0.49765121340149715,0.5406103289686878,0.5872522370739627,0.657221089507212,0.703362721523706,0.5967527386796943,0.6905609976491776,0.8143983939288337,0.8020664011083185,0.7044863890877251,0.8391502085023546,0.9409206593759014,0.8549482760621263,0.9387586832885392,1.0386764384298393,1.0528764328069133,0.9688866779310018,1.0700915768051837,1.008777636823352,1.1837490427824857,0.9900350333805739,0.955898262644038,1.0300835108265836,0.9928664742309327,1.150741557181812,1.327226163512065,1.570829852073202,1.3791020267121543,1.0173956759103806,0.8993048106116914,0.9280502801639076,0.822980461775487,0.8389845845585318,0.9587557985535444,0.9314210170452268,1.1801996717824423,0.8839652960169626,0.8050029581134882,0.9886354680082767,0.8677672762214935,0.875241205697238,0.6812654774514137,0.6789045337366391,0.7459996410454609,0.8500239488035466,0.8979520275270231,1.1696946717112764,1.0225997295747533,0.8845641850245567,0.9234455425590509,1.134935278697002,0.981508739056581,0.9342848838214847,1.0203887352158023,1.0672695471720897,0.9657707201508342,1.072363034346986,1.1773448857211912,1.1895459194276932,1.1665773042361558,1.2343277074135839,1.116051398826774,1.0613411383321867,0.9977059768880038,1.0011496721077981,1.0096703427583165,0.9597897677304069,1.0152777291785233,0.9982220294404378,1.006981491059448,0.8740182408650348,0.9387355235423028,1.0974368876715412,0.9038096894393564,0.8712428252595571,0.9296623341328222,1.0051507938734823,0.9445821943157963,0.8899768288044012,1.0467691441345166,1.0402346101874125,1.4395998138384032,0.9245535566011938,0.7830089499280835,0.7503791378843786,0.8446731800788462,0.7819010101956396,0.8126500054025049,0.8393179214352617,0.7020059144233461,0.5242740934174325,0.5098865831851533,0.45948694101694487,0.4528084833267374,0.8824179793234362,1.2155469073633776,1.1221166884679123,0.918069810851104,1.1546863867481565,1.2698603703085365,0.9809029030254225,0.8196348424460339,1.4755440375638103,1.1398218982778296,2.325453250480918,3.2756445953210602,2.9552369868095467],[0.35572387823483254,0.407819380331679,0.465996148483943,0.322581672983072,0.40404851082572985,0.4158163365661932,0.34358236133762593,0.4179472675274309,0.38604168274197076,0.35580606349726657,0.422911302797271,0.5790252346994679,0.3887968863627317,0.38210043841037883,0.48570419701036266,0.43332879263057295,0.4274347181026543,0.43790187230483363,0.4977110521074504,0.42408400384549677,0.4292657441182716,0.47696447616216026,0.6087631470636734,0.8400404441431208,0.5699509978901568,0.5104435820958612,0.41334720300568123,0.35698105608664354,0.42100469093216625,0.4200649300374775,0.48386911304784497,0.4904933365937549,0.5574496341801373,0.5508032747447801,0.44941123292377233,0.4177637668941646,0.4437913185249932,0.4042168298282938,0.3998604325406505,0.4126733811425271,0.5214003959933683,0.5525196867942584,0.4823384473342451,0.7391359005551242,1.0708835041267257,1.440327891878809,1.4838933972090964,0.9401070647267429,0.7849174456939076,0.8869775145546515,0.7704638268004357,0.6866035180105245,0.5935438018994352,0.5253991586773946,0.9323738525933782,0.4797168226414223,0.5386361405262483,0.5971039702369003,0.6471308564897121,0.898208410219437,0.5691264457662539,0.5275416240365324,0.46999892869380666,0.583032037354614,0.445464788824256,0.44111902886540355,0.6851589728871322,0.5269839299899712,0.647313213951163,0.551883618834125,0.7658205853622294,1.1324091142774788,0.7436041975598661,0.8567579164439438,0.5259914737218941,1.0384769524635287,0.47309706609575075,0.5089228053100292,0.4473130303946881,0.457106476531705,0.5333375131237473,0.513622178300593,0.7862290801882263,0.44389590205098123,0.44431467002221897,0.41400339783148465,0.39247348932587145,0.5943658274852041,0.399357246868444,0.5796138884412433,0.5241653062562377,0.6728910582749709,0.6125129973892349,0.6098316071962989,0.5673959744508302,0.6665259073892845,0.65128010740623,0.6015057043289114,0.5592174602035715,0.7602815141844244,0.5317233372139014,0.6951367402505267,0.48401255393118786,0.5321038786872011,0.754098393393361,0.6197054132003628,0.8144630956741133,0.6765844830178063,0.686587023743478,0.8373761443387991,0.7246830747715888,0.4596786948497766,0.3497662656571445,0.37647034980753613,0.35241970627115154,0.3582573950560221,0.3921493402826813,0.4112813050805,0.6320397044015349,0.41814896219525943,0.41945439853390476,0.37695433973469955,0.37761444592949506,0.33732136522066664,0.3434655502055218,0.4864323690553052,0.469704811193192,0.5035683747605882,0.5325412806748088,0.5742026522349565,0.5748616030626575,0.6633213742643675,0.5958512624861407,0.6343243814319062,0.5356498920278927,0.5099457658258911,0.6746279734058199,0.5389672651776892,0.44308474475270443,0.37908743211091234,0.48642376690898187,0.5775386716968451,0.5123518424262622,0.3858344049513274,0.3865804520606056,0.37636127602535757,0.34328604549945424,0.3854975883455683,0.36081106659574025,0.38767933719379366,0.5072740801557578,0.5195918336826786,0.8181452198613357,1.434171414424707,0.9619249136845748,0.620002836965511,0.506907647170823,0.5228484907929726,0.4332388156387729,0.4414759567008346,0.4189121867881413,0.39725826825889204,0.40866282577909213,0.3986933755379187,0.4890901773283985,0.5975411451418325,0.5560699529870525,0.6757713485403196,0.7654688557085095,0.679035975701145,0.5663266638100637,0.49808058698241386,0.48176121303766545,0.4906679204856824,0.3950617010968248,0.47682428464269294,0.457969333697363,0.7139173470890883,0.42741713415382615,0.489060283990088,0.4814874440378948,0.5123814089082063,0.560574648170403,0.5909790906013731,0.5320016039654633,0.5352954333783048,0.5704651611913387,0.595464067033316,0.905241858615893,0.6884013639494314,0.766749719217634,0.5833760564120436,0.6563289061845835,0.6893856233100303,0.6752612600145464,0.711635986675941,0.6503031434661607,0.6248936023641273,0.659148606703406,0.6633434019274133,0.7441989840533672,0.7563040951011452,0.661422236853584,0.7817999744330641,0.8689986654771299,0.8408835686454548,0.790517700705394,0.9176247062200082,0.9692170404306304,0.8876771394307542,1.0020514979562358,1.0801813885464484,1.052067444694888,0.9890097431103717,1.1270859477319723,1.0979704106620476,1.2391817686444024,1.1394429763583154,1.067587792328881,1.1081837214433319,1.0766780353273337,1.1875069620254322,1.4391373039746065,1.5697205974203579,1.4096610136568437,1.0675900272632348,0.9286053898253422,0.9359521043039651,0.9254458449466431,0.9513861393318602,1.0389824363865447,1.0538815561638621,1.3400499341812917,1.0328223898765065,0.902960284165963,1.1613216976916936,0.9909637076124567,0.902241789867457,0.7928282296589546,0.7534733904602438,0.8013217212320654,0.8720405662588193,0.8938368202096628,1.1600591502433488,0.9791722659548107,0.8979321071877068,0.9340343900146119,1.0910657899676586,0.967366759240685,0.9252587229560911,0.9872869179538941,1.028317031021907,0.9463683900723993,1.0663327372134677,1.1568214864309685,1.1965218379166402,1.1589690340214758,1.2364730130826806,1.1395736061586754,1.0868667215931542,1.0288798645203456,1.039541597158646,1.0640090356548855,1.0249763895662864,1.0783896953510705,1.091594298018572,1.1028951810047423,0.9861234643824117,1.0738176989766315,1.2406114414427725,1.0437167645635974,1.0099974908365696,1.087950207807877,1.1676147380308874,1.1098729436064452,1.0680552907895313,1.2261225424205768,1.2113418009236854,1.6060917223222089,1.0831876099740663,0.9330085633567137,0.8824473834469959,1.0132757070860718,0.9690024845337212,0.9941853812145657,1.0032728200927592,0.8423385178520464,0.6218036032337871,0.611265899500609,0.5555900888435341,0.5217184087520949,0.8920395840184965,1.1055021755684715,1.01982880132136,0.8985871177430069,1.021360603117337,0.973266147665588,0.8484092546742673,0.689059186299056,1.1199032975825194,0.7040371256502715,1.8030416698590814,2.634106984121101,2.772114521143422],[0.30560245637282135,0.428508533785146,0.5204999361276921,0.462236134785996,0.5848030496204897,0.5729884514836812,0.5418935274805449,0.5181900356207696,0.45292419978766646,0.4743261591899875,0.46585625095878197,0.5771490752768714,0.4869472739377249,0.4955529152518471,0.5361438522843505,0.5313076373546943,0.5645527380167799,0.573160202147332,0.6400236222725364,0.5606908290026306,0.5523866059890632,0.6106128233786317,0.7715454772085731,0.8610167196644984,0.6929215005000777,0.6460665275747534,0.5630458771448871,0.5322782899168857,0.5857857827495443,0.5232180150655209,0.5266829664366635,0.5173333575244666,0.5373003848841146,0.5321368778008038,0.514022701065576,0.5098013225999228,0.5905995198051823,0.5711833666558322,0.5864624709310289,0.6209274000029458,0.7237253903874584,0.7273187926978535,0.6429796841156851,0.9457553024267616,1.1886843251414334,1.5395704079421486,1.5437167808099972,1.1509703961652333,0.9994148289528847,1.0453646629142253,0.9218642995771721,0.8758876163524643,0.7407477456470616,0.6636998009567285,0.999162811298058,0.5662336064192671,0.6496173622342675,0.6511428324289539,0.6681389174682792,0.9567221089146657,0.6748335617659131,0.6219507259582169,0.5286194081240657,0.6087938018729203,0.5848609616670704,0.5193326416838053,0.6905047771865852,0.625677149577925,0.7335066205288238,0.6311951437327821,0.8332332697467287,1.1629245729284265,0.80327006549625,0.8773855638475347,0.5203031287114019,1.0397620554254232,0.5423230722220874,0.5461053558053359,0.5466822987130026,0.5428286332077887,0.5978888118869058,0.6402785941235589,0.7667905965067197,0.6130036769491912,0.6171188519389715,0.5578412328825354,0.5237812917998814,0.7644870007729285,0.5141427776450208,0.6232598963495687,0.5244392803955542,0.6880165409649176,0.5700936074120782,0.5507433987748215,0.5380269103014355,0.5894941923837982,0.6078941948860461,0.5487986507837718,0.5375904459724614,0.7317012557255838,0.5465483840370057,0.7340949829887241,0.5917176975684116,0.6115745907925726,0.8812659973494479,0.7768479633914508,0.9861112151042992,0.9040706035310496,0.8998576915670844,1.0032031981495058,0.9482322616267694,0.7099492390486049,0.5388199091305045,0.5904073941630791,0.5174186018877603,0.5916877198460211,0.5951331902605183,0.6466313397031175,0.7156756632612971,0.5278862899167059,0.5536298100781336,0.5148395851944493,0.5737593987757849,0.5586702664164076,0.5617514388465724,0.7997965041398184,0.693228284134005,0.7250764389288292,0.7574280303793084,0.7894469226132392,0.7946076817142549,0.8836205539527295,0.8461817424528645,0.8531415610825323,0.7808577087113273,0.7423201466768885,0.9070421255882231,0.7994493999770389,0.6594365144610973,0.6078382496818011,0.7693580479700824,0.701390298329131,0.6777558764969108,0.614756229296565,0.6019761999018788,0.5703713371996069,0.5638921640732767,0.565635302308851,0.5230459940530924,0.5135455972928339,0.5842754594224706,0.5275709554389549,0.7382600657835742,1.29642922479171,0.8801313508770121,0.594750225453596,0.5301264132461068,0.5561788513125707,0.5134898809219375,0.5697288969424488,0.6108845557828582,0.6034073309398611,0.6443941173458002,0.6245649347285165,0.7167730599375391,0.7633941530435042,0.8257599100684712,0.9363992065237092,1.004380398720299,0.9312365334411838,0.8294654718126887,0.755640377831836,0.7159084810263855,0.6944784166999896,0.5885347546624028,0.5964723512207165,0.5699534331548131,0.749441803614628,0.589585927888756,0.6084347934370352,0.6941751722645592,0.7179403217546267,0.7923469327061184,0.8330783222537361,0.7714908689779593,0.7817783858761206,0.7883509822988202,0.7936096149674532,1.1166831951576779,0.8917927461281396,0.9474668510106325,0.7907728638077927,0.869047238713098,0.8884209532190822,0.8916035753467393,0.9083284168752643,0.8695885214685634,0.8249262449326117,0.8574144567969274,0.8155704208853676,0.8876591612955161,0.862885082697282,0.8083026565404307,0.9351403470488644,0.9704009157998583,0.9322098351068575,0.944009695537996,1.0180559080339857,1.0032505280726434,0.9539988888020948,1.0683946901077552,1.0922311113509193,1.0457628059193813,1.0378781499804606,1.1466579263933434,1.1733933347016474,1.2140578035853804,1.1964276261726772,1.1482250427357092,1.1320197154015796,1.1063709186510378,1.1711513009388688,1.4551339952097475,1.5716610062574665,1.4855182744365034,1.1380200598429049,0.9710964326427276,1.0231441112342363,0.949382511669561,1.1009335606606756,1.1806810792598719,1.1965350779823798,1.5143034820056935,1.207838296311062,1.0934204426705778,1.3502473793020828,1.1501310659628334,0.9525876970717773,0.9329260582836982,0.9211460316910904,0.9569985675662578,0.9873468698574829,0.9790128029650162,1.186868552894845,1.0559840975520842,1.017827501600567,0.9936384066146549,1.1184305984827339,1.0353938931697666,0.9972165120812788,0.9953567970267427,1.0239476793982774,0.9730674180743435,1.0647202001698848,1.125933459355953,1.1849912907992348,1.1244657571466747,1.1835831293565249,1.1292108775132415,1.087233289538917,1.0736226545155774,1.074492536010266,1.0644827448866876,1.0804994612855006,1.1560274241034603,1.161068031933169,1.181798579744045,1.1068030765019872,1.1847429029073846,1.3184145881137208,1.1554334404193354,1.149440736623839,1.2168276167907819,1.296816554073464,1.222519549349825,1.1964845479504038,1.309031562910255,1.322047693256915,1.6665011287076343,1.242339175423669,1.0875280976312374,1.0670407872337675,1.2580666473409918,1.20475570776578,1.2052873552736647,1.2061285955006757,1.0138970692301637,0.7629773868869576,0.8124265992020753,0.7628626210347994,0.6777681908681619,1.0801031654871132,1.2173401347515114,1.085386155312659,1.046244047965759,1.0916201780371366,0.9544005252047119,0.907075321458139,0.7860986239529107,0.9717291323718844,0.7656157347358569,1.6250985199544652,2.311168422174979,2.922841026876438],[0.36267753991104495,0.5217661836494816,0.5613547460823872,0.38367132502777296,0.4692358670510338,0.47966076665587554,0.4153903105941515,0.46611376924253356,0.41739572004953085,0.3885816555841632,0.42267760542125066,0.5928824282925834,0.4054280582209269,0.39569094552990325,0.48704784774238413,0.4470105281496189,0.46269879989258567,0.4640994318322997,0.5291996815725533,0.45470792754329,0.5042206402101407,0.5683760918584996,0.6322771199664543,0.8665325622710395,0.6635944068203866,0.5900147632291032,0.47934588459499833,0.411568009996863,0.4570018079268401,0.4577843273952146,0.47403787965192584,0.48561396024481185,0.5296621772017411,0.5327518482012651,0.4626257528912991,0.434114198229511,0.48262739688422135,0.444242693484928,0.456861739521735,0.504316394857935,0.5744552372811771,0.5847159825713217,0.5466126951969804,0.8014033534471066,1.1060434054128891,1.4596472902854076,1.514796720064024,0.9585258048249327,0.8190978801500552,0.9217036884548861,0.847976108702816,0.7353523770939681,0.6431387707777674,0.5708498240352815,0.9601337930963874,0.527816152298584,0.5755912240721801,0.6619439775277383,0.6920780294824421,0.9899410574624549,0.6381303074749615,0.5780778648292965,0.48344547932705456,0.5680907577406215,0.5196758089814135,0.4826635003768548,0.6457599541282903,0.5189708099636213,0.6591942637469299,0.5444610923746481,0.7558378307413928,1.058326141734745,0.7238135292816771,0.8439135475556796,0.5214581124234277,1.0119105423407273,0.47120854093771036,0.48972042575085617,0.4777496720811303,0.49124763983557934,0.5544949541782869,0.5763845850697746,0.7819716152507002,0.5300532791792516,0.5101696188831933,0.4685493704853609,0.4404420705263219,0.6352505811776928,0.43294859866899577,0.5853391460758304,0.500904879308457,0.6251200272737322,0.5657114551620712,0.5478886713165565,0.5259976560900669,0.6084115446891327,0.6120410524480677,0.5824991681135088,0.5596856900365651,0.7651167558030847,0.5455028463063538,0.7390415632519347,0.5702213228174783,0.6091796957148947,0.8167164794673558,0.6608552642945873,0.8056276943375258,0.7524466101659459,0.7574244204368648,0.8353502681182072,0.7808331658956241,0.532325637732429,0.4337923722181852,0.44259041032902996,0.43245786358729726,0.42325622969437376,0.4579055983973325,0.4805763647942182,0.6151898216814656,0.4305662016285996,0.41476862941886483,0.3907073771842215,0.4005678179650592,0.3778396968158451,0.386755086858743,0.49560039915900833,0.5211441054721823,0.5707983795468452,0.6308997296653581,0.6518748175083313,0.6639043339450376,0.7286304227277276,0.7032086942947258,0.6940781493162703,0.6488520005164718,0.6112925985042972,0.7620913922118085,0.6062608791373464,0.5272995941219067,0.46728569740283327,0.600652369809314,0.664357461925447,0.543164842782858,0.45558784015387166,0.47062640809341433,0.4354973512753035,0.4295997587195061,0.4440370084368373,0.445407346142544,0.45267913087006484,0.5766300612617382,0.5567152307285516,0.8365619766647892,1.3780994082797187,0.9449816783368172,0.6323789280790236,0.5475806500558036,0.5656053321925395,0.4981684404025588,0.5508404844789233,0.5052504210797226,0.46357191956286425,0.48399935449853326,0.4974061334863366,0.5729167041103759,0.665592984216149,0.6927001494807853,0.8145651500430986,0.8858374307926518,0.8040264278425241,0.6909378877709106,0.588653440540284,0.5529444805567792,0.5604017085622298,0.4903733369846326,0.5472860812553972,0.5182091909720818,0.7333171358837358,0.5114001826786706,0.5520623722936973,0.5846516640645234,0.6160660129513501,0.6545822987446098,0.7195801353376804,0.6495832585170376,0.6485204579952918,0.6752474051438081,0.708727033972394,0.9273088662407437,0.7586665979768902,0.8382480485030269,0.6760702750136447,0.776350459669997,0.7979405613862923,0.7802860020215628,0.8293048296153699,0.7454075478709759,0.7218143801291941,0.7482324230248747,0.7500121069588609,0.8157113806681444,0.8307746653056225,0.739162929211635,0.844468433934103,0.9186860380583829,0.8778143425096493,0.8436046664985093,0.9672112659755873,1.0002882959926078,0.9078647663931171,1.0218142441705402,1.1058816659709474,1.0686675500959248,0.9770810491642705,1.126539534392754,1.096083679784819,1.238580418810906,1.1801429727286863,1.107776257521785,1.1359026538438532,1.117788840951472,1.2499226731132642,1.4825337852443503,1.5267132645434822,1.3900445241472634,1.1060824805347542,0.9897444770368706,0.9962457692475783,1.093474691292963,1.035492400974457,1.1208992965721896,1.140027821450602,1.4209882619766312,1.113300113634936,1.0018532005812226,1.2930340394642088,1.0858850450564228,1.0011898089884472,0.8775360856370924,0.820027828756733,0.855371376811684,0.9083651983502868,0.9125656035154305,1.221055526402009,0.9554973806538365,0.9073111930414033,0.97160886795034,1.0444250250423117,0.968665303400594,0.9317224914072778,0.985946647395216,1.0173574714377986,0.9568673587928631,1.0890914887163041,1.168754624823849,1.2437752042071817,1.1816306741782185,1.2722531418139293,1.1834004279460177,1.1366030483227276,1.0605094092103329,1.0856958382985142,1.1149676248083653,1.0651611946067774,1.1009431697537242,1.136237249906949,1.1364002544009526,1.0413633393896298,1.1445300225146815,1.3029085476297362,1.105921551019345,1.088329418429501,1.1489682813382873,1.2425957484813648,1.2036109481652304,1.15734143062329,1.3405376809381115,1.3127369723750382,1.7185795284383096,1.1428016371675487,0.9817441410085421,0.9331058911496574,1.0465974417708346,1.0207355696739289,1.0504013954742344,1.0361613844221038,0.8909770488663816,0.6943724770800686,0.69824994143514,0.6397512065809685,0.6102904307113052,0.8677619613620224,0.93593869913743,0.8562463393840306,0.8313543662823601,0.8219104690803694,0.7460764596244629,0.7127981132257127,0.5414014348462148,0.836512492600897,0.7714571900654763,1.5299422521241288,2.2768581880815644,3.020581996502929],[0.606565929047118,0.7027113224630445,0.7418090142012438,0.5510615027045046,0.6716949367108533,0.6363360389049645,0.5700484939411543,0.617385918577827,0.5182771706698213,0.48601683369920456,0.4906529073089192,0.6903001440244839,0.5390042414888505,0.4635947682036847,0.5480492870510926,0.5610893691444018,0.5845295569474871,0.5753844580009946,0.6204635259111594,0.5842456932636501,0.6252283889434688,0.7042076571454302,0.732859130748198,0.9458297835475359,0.7869619411381065,0.7132703728640225,0.6307658700487182,0.5705133989708159,0.5991562208056765,0.6054831168109058,0.5771394651784293,0.6267985606109777,0.6437537822729329,0.6363555783765801,0.6067883000154696,0.5663738484493404,0.640181862882937,0.6023564180325253,0.6360139368774786,0.7188303495556243,0.7593515696437638,0.7365727172180985,0.7185940206054219,0.9663286986979741,1.2137345701045592,1.5445472160423568,1.5593534747101807,1.0988816123275913,0.9909892241185742,1.0925621329050608,1.046078950381816,0.924273704184088,0.8529500017592533,0.7700150374759075,1.1015036010488624,0.7210688896557571,0.7028381521531237,0.8366752596884034,0.8573923869774203,1.0762827098544039,0.7808780769321733,0.6644005572217333,0.5657312568368078,0.6255718942284456,0.6419588368716673,0.6030098383548027,0.7038971223287447,0.6136710490341202,0.7338867771535477,0.6255210173785671,0.8245663113884372,1.0896599903408948,0.7892855435888809,0.8753465774329215,0.5768524371959467,1.0347870948412872,0.567746865777593,0.5888449325358023,0.6132907639095375,0.6364917742034767,0.7318659500169057,0.7768789690867818,0.926905258738414,0.7445791733605883,0.7234150129351625,0.6713863722293036,0.610843335032232,0.7658336822400211,0.5921098982604606,0.7112453697890275,0.5944847562345178,0.6734575158707723,0.6298222576046222,0.6356938675587304,0.6122195092825871,0.686476857535279,0.675514840738137,0.6815610536523393,0.6741968844900358,0.8782706925228769,0.6652479323781127,0.8973157366511807,0.7596936372968378,0.7952732644043623,1.020280877087385,0.890443668224466,1.0401139968629078,1.0345378947530608,1.0306879129506787,1.045006057161807,1.0126208527858793,0.7721802859087071,0.631206557463888,0.64733470387772,0.5809333051833129,0.599677673592496,0.6163849753159949,0.636107792573135,0.664180618563519,0.5227703134150608,0.4862150568825472,0.479236487795976,0.5177991374653896,0.5199538743056041,0.536827032653986,0.6943797812494407,0.7321255811432945,0.8042614336367898,0.90312421379128,0.9282591137735724,0.9625206447198539,1.027439072200682,1.010458078724556,0.9819319610872759,0.9333178593371143,0.8671117133521266,1.038756988295456,0.8644029063144943,0.7531342848967398,0.6898218534037279,0.8181451420217192,0.8327583495606097,0.689654939213683,0.6464004687552183,0.6725235683763425,0.6157745444666473,0.6214106430709627,0.6047788844825921,0.6234365145566598,0.6181201783765558,0.7408996148534177,0.6878285065971876,0.9425685179747311,1.38780371834921,0.9867450472816596,0.7772507878927745,0.6813735677407233,0.7188856129379075,0.6658204183128364,0.739857339400158,0.7115779581842403,0.644758338861651,0.6983423435019133,0.7146291244802617,0.8229158298026705,0.9034303754370566,0.981225859938202,1.0983322817778356,1.1686371182947086,1.0759334713959456,0.9803479985206309,0.8557993440624818,0.8131421509105033,0.7985225792442205,0.7215733765226492,0.7684046025285743,0.6930554805359312,0.9202869972980863,0.7254050790270772,0.7919882457426418,0.8438133849471026,0.8768711779348379,0.9412307381510868,0.9934511054486618,0.9192356352560777,0.8910126133355022,0.8849845284996994,0.9458550136121786,1.1334999682183844,1.000747992446187,1.0859049840331931,0.9383290347919924,1.06642302462959,1.0840951498527536,1.0788232329385916,1.1200571566068158,1.0493192825549478,1.059969117542317,1.0812044112157673,1.0459214119246658,1.1371808662397218,1.1281398204749096,1.034894309696445,1.1544568851001344,1.217408257122438,1.145974011036764,1.1267598781339694,1.2512911109733904,1.2649753734826337,1.1338395722361547,1.2660228480575908,1.3500502192629282,1.261694126774211,1.1580176655657033,1.3523553319379251,1.3702757264498768,1.4654561438510723,1.5251190649926856,1.4180394649544423,1.4138161218983998,1.3975093115363861,1.426188186154825,1.7944347233996436,1.7393484363338745,1.6346338538438856,1.4073321885191796,1.220285744074163,1.2675250769520916,1.3818939820779592,1.3831541802954956,1.4377301013451382,1.456985082130554,1.747604567319631,1.4616363894957323,1.3784167560903349,1.619310351007473,1.4097034471486125,1.2554210252873403,1.2080179581829285,1.1419550992129908,1.1736565607332845,1.2021925799798552,1.1938983035786157,1.4999357762137364,1.2137390119084739,1.1827903571866907,1.2580911800766108,1.302149793795403,1.2113659535353183,1.2043555712569316,1.2584759362972058,1.265838745234871,1.215601940246124,1.3673082778479322,1.436940146974053,1.4901136890225357,1.4346872423132337,1.5458523834275524,1.4528152466482656,1.4239578876961339,1.351165955856022,1.3746260997422604,1.3949131853034686,1.3597204686078328,1.4011661573473704,1.4488503806504989,1.4422321718860247,1.362858757572923,1.4944081417899089,1.6311963030570145,1.4225915027666454,1.3987881284200392,1.4957048271673565,1.559228527034573,1.5404396382897296,1.5233588274463503,1.7360691068057692,1.7321696570661,2.072513379300093,1.513259144862589,1.3156818906291718,1.2195275286904956,1.3886201919599592,1.3526482403620514,1.395961417572253,1.351255123667176,1.201814766944134,0.9649951480569794,1.005504496254739,0.9165022866684849,0.8783767154242261,1.088188914911543,1.0957756529750116,0.991865512584691,0.9768518742324085,0.9562468509465882,0.8780731576545966,0.8186083095959716,0.6857737774698871,0.8915956847386429,1.1954610732911106,1.7909512382255766,2.642719241815409,3.60106114064693],[0.5649574593762776,0.6959728767420185,0.7876444686049014,0.6458522776579231,0.7690794751219937,0.6786799331777834,0.6372003313226333,0.6158673660442369,0.5244539056039894,0.538971806110557,0.5134236603617125,0.6529930454205543,0.5762185176088739,0.5372979948483316,0.5836169003848928,0.603458539581852,0.675128101878539,0.6848034733538144,0.7583836388906395,0.6974859393935764,0.7510732363242436,0.8354796597963174,0.8606702231732286,1.057774024023757,0.9066890868403805,0.8382268919351523,0.7730746263208574,0.7064191150120664,0.7010413084564304,0.6697692358315162,0.6154753293259118,0.6425052447696018,0.6192010207801039,0.6511693007913195,0.6466750780698256,0.6392200966189157,0.7096957882653159,0.7129446545648942,0.757537603758627,0.854114581485838,0.91232996096086,0.8707395511530205,0.8651014799807483,1.124099705172786,1.3368167307807564,1.6313586558371385,1.6353804821343834,1.2449581735579704,1.1225743800569687,1.2273180657378084,1.1644349080924339,1.0654731438002192,0.9890307003327888,0.9014513724393832,1.1782044705310555,0.8575579579092046,0.8513909719182724,0.9403316410884297,0.925803234778203,1.233259654582694,0.8929471311493047,0.767832004230616,0.6523350647651985,0.7155570112805432,0.7643143400570681,0.7124291538871231,0.7598095587421659,0.7140614055054476,0.8359616719198218,0.7085481981779804,0.9058118548249814,1.1403904560158544,0.8489951430715691,0.9703565409285311,0.6360325970676957,1.1163266711610789,0.6568235076386204,0.6275666707672354,0.6617389590508966,0.6835443677878396,0.7872901867881094,0.8638117265832049,0.9472346991582462,0.8164030526528129,0.8371698461353573,0.7651600991681207,0.7164641405274866,0.7992909294923828,0.6617996521420546,0.7476896137701315,0.6394404682650401,0.7077856009829597,0.6287940732429744,0.5957211448438463,0.5816210312012116,0.6159615440770297,0.6293423430395066,0.631764406234076,0.6259318116797075,0.8072236431456371,0.6593359053002515,0.8927363431072216,0.78068076251804,0.8289061625435729,1.0529495089358494,0.9236548651250598,1.045060063430041,1.0557518136862973,1.0498960832203164,1.0558565153233523,1.0501486347746045,0.8372349152897959,0.7010999990846287,0.748997309122111,0.7052837431588393,0.7400076066408714,0.7619131474914248,0.80965992443982,0.8186311860066016,0.6271723845062315,0.6208773387301963,0.5988896529201947,0.6685320770718033,0.662320653487008,0.6541092217573033,0.8128011124902097,0.8120543631994405,0.9013592528335467,0.9708643909508186,0.9865817786717183,1.026444672264643,1.0561448756315663,1.0792357211707575,1.0343880211866547,1.0308099475738908,0.9802433773604302,1.1289874232017763,0.9962069287733127,0.8859666895385389,0.8309485083315745,0.9837599267279971,0.9812668800291477,0.8467221280094612,0.7997712165915795,0.830617055583287,0.7512088270368953,0.7567713330175152,0.7164856070482765,0.7114306294186767,0.670315195564769,0.7485324740947388,0.6756338248513143,0.9301239332015258,1.3742538337268912,0.9435054004053094,0.7346077948232459,0.6769395371726358,0.7325616291579777,0.7090957965208019,0.7927792362271331,0.8159352821305855,0.7621261730245623,0.8430694646322786,0.8549677352545457,0.9578456415567227,1.0488583649912302,1.1056045853770475,1.2226197515437494,1.2812517733026958,1.1938934208858332,1.0948134353296568,0.9908722845404768,0.9387761056102543,0.9022677990714482,0.8237156424456861,0.8355992276800216,0.7697979513413172,0.922270493832874,0.8096743004124215,0.8369308609657382,0.9395299552101029,0.9489364124389472,1.0254646747144434,1.0875481391311541,1.0372558867914845,1.0237177713348835,1.02853420278037,1.076737507178083,1.2513425726794518,1.1260126508452242,1.1971097027750792,1.059455779828975,1.1701414559805932,1.1780115195776617,1.1596346264426165,1.1863462928804662,1.1095171035728866,1.065955696841593,1.08139781127976,1.050597726758181,1.0833792393282375,1.0703100885033594,1.0179108760080047,1.114938956336758,1.1272484604524946,1.0849681104810995,1.0890859377478461,1.1675940890904264,1.1452265577168883,1.0788635551065893,1.1619036917616075,1.2163769146029226,1.215203013327915,1.1345177581412418,1.2141037090957363,1.1743987231334803,1.2492331805115635,1.3021931654413086,1.250251577960502,1.2104468881958317,1.1934723886757819,1.3079061101389216,1.5237117281313304,1.5390968023156966,1.4820548661303998,1.2281885667179557,1.1522345055919991,1.1688397457078235,1.2958959805452612,1.2528010763336739,1.358694156184626,1.3707131201763343,1.6461950564591918,1.4093343701372392,1.3368458184541434,1.5632282365054861,1.3589247281075727,1.2585382967028167,1.1843727790228045,1.1044596173085688,1.1129288552299443,1.1193098209629937,1.1035484985888093,1.3634488995787963,1.1204861876684955,1.0874567505855122,1.136902234626339,1.1513316866159218,1.1243704441701785,1.0961647365262133,1.1177091068260494,1.1409096968912538,1.0964228957476028,1.2002637299139012,1.273767752968958,1.361691206514414,1.2785631010908578,1.3555430640103117,1.2855265799287539,1.2546113031617139,1.2050944757912907,1.2226730934036691,1.2226087545871762,1.2142927243173147,1.255635467572628,1.2756286247165016,1.2757577103728477,1.252266828942458,1.3371678774971252,1.453927696672404,1.3100263850727853,1.3152883041636474,1.3379262835891101,1.3723366067002756,1.412381231360032,1.4236085349171588,1.556838634926267,1.5764380888591987,1.880668033811912,1.4136307868581137,1.2135474018782044,1.174593670621378,1.3748140597704395,1.344346654855483,1.3742510763271476,1.3482921157955212,1.1742410091413567,1.0058732959992909,1.0297768778422391,0.9815950468238576,0.9251887687761643,1.0653429223027264,1.0028806183929204,0.9307920434800879,0.9751615300252265,0.8765379687324175,0.8556933908266299,0.7602677882461572,0.6425413044773642,0.9308300164710882,1.1434558133856199,1.6156900343624905,2.4038352038072426,3.3599445927833482],[0.48710088102128984,0.6445500902999792,0.6869619738106533,0.5851807848081274,0.6772438878101157,0.661773380452695,0.6271449564966866,0.6084682146099231,0.5481109392003969,0.5648606759691026,0.5494097801230585,0.6871082346502962,0.596542646179952,0.5713977982590801,0.6222834825918346,0.6330362842874592,0.6944850909961438,0.6994681006169047,0.7560036275964693,0.6949157474901646,0.7319794904307911,0.7978626723119535,0.8261363128866814,0.9980296181588031,0.8560075925338928,0.7991377638874825,0.7307510731068092,0.6814554795747133,0.701320794071292,0.6726923116380366,0.6532269920183673,0.6575032598487526,0.6428704757604049,0.6779637431853754,0.6540735234294454,0.6498952116883455,0.6990076175418035,0.6825154319295316,0.704800359840884,0.7701667116266722,0.8207102753099207,0.8229602591451909,0.8046740091582487,1.037410026312271,1.259292381684482,1.5703413516012428,1.5604000332107824,1.1386586360091007,1.024835955291637,1.0996716689937651,1.0791829936378006,0.95508781637489,0.8958039094127901,0.813598180740529,1.1253608638037071,0.7864294546584084,0.7800302808243478,0.904524513820608,0.9111929116860601,1.1642666312401027,0.87242903537907,0.7437265603945276,0.6453041707410523,0.7083874468590159,0.7396588811747544,0.6926270896367229,0.7719131496814021,0.7327667510218712,0.8560391331228207,0.7541307748886206,0.9404353307614406,1.1785446095221588,0.9108750136958906,0.9804273405676619,0.6599971779531595,1.125343182940102,0.676980278903103,0.6615957225607343,0.6788186158578523,0.6844476193635086,0.7779292003372649,0.8221737744340237,0.9333629104226728,0.7415977754174105,0.7467721758815002,0.7142252329527464,0.6788731989825891,0.7953603315620789,0.6702517760887636,0.7675634573367404,0.665652108479423,0.7392960774937464,0.671981743939396,0.6394018465263872,0.6247846338607342,0.6671563341444176,0.6764677893310391,0.6597179673588199,0.6487487088016295,0.8185867390571853,0.654779006459353,0.8610078191424722,0.7559412628391974,0.7701080582159814,0.9662641975158239,0.8336766287298526,0.9347892334814959,0.9011387327697183,0.9006809519395218,0.9534686895774923,0.9553971773437315,0.7610352328863117,0.6655000105921085,0.7083863033120069,0.6899842737295944,0.7099631510339406,0.7371173794494014,0.754416932034211,0.7821723246584089,0.6406961283006901,0.6220886938623142,0.6185735792316427,0.6574259526412622,0.6505726684733265,0.6497247305582632,0.7586072446317752,0.7519862454994697,0.8038192816089055,0.8410185331348539,0.8570610994664644,0.8602590189845597,0.896877077255029,0.9064249332406098,0.8895602510905128,0.885346849693809,0.8575082794021278,0.9953158559898811,0.8793214498214561,0.8140690296787534,0.7589871316956985,0.8973133422919894,0.8823494259677411,0.7788999050987006,0.7341321623987934,0.7576687411542327,0.7052430664375963,0.7083795187589832,0.6851298398241692,0.6639445634702913,0.6494995790824427,0.7225961126814423,0.6709489210914076,0.9144253656329882,1.3826883522055375,0.9379569003670066,0.7290858097305216,0.6756200574975861,0.7058894556032954,0.6906894132025749,0.734407513031739,0.7322231333882737,0.6952498075878908,0.7543330264051102,0.7606198677470878,0.8470791021576435,0.9289471376084623,0.9667893354511986,1.0614746729213123,1.11313661743454,1.0647806171899155,0.9565377947959219,0.8683825564307129,0.8199822564382447,0.8010788712961875,0.7348672452240156,0.7580506925595971,0.7234607456925141,0.8936543812062573,0.7308605963777096,0.7499768250761151,0.8263550279024633,0.8346815070132552,0.8814278196973041,0.9372655321525436,0.8845865924193471,0.8863455144500927,0.9120592885872326,0.9512807756291233,1.1357493336287743,0.9881801462013969,1.058030374149762,0.9119948558250078,1.0123042752576996,1.0100037618611863,0.9652970502579294,0.9658581194525672,0.9046254101952388,0.868391169830674,0.8692806332764811,0.8747248534341573,0.8816109810081709,0.8967467320222193,0.8528359354632257,0.9145045509663466,0.9246969255991965,0.9168701497185205,0.9185989108292483,0.9560773341598191,0.9455624259656215,0.9188335207733899,0.9724467524304762,0.9783846182319067,1.034038990154632,0.9464721747169544,0.9278900524502743,0.9728217284344631,1.0306170560707895,1.0223973414842533,0.9986144200469148,0.9557313590861911,0.9509701051068395,1.1023706267130364,1.2409405110995007,1.3867685235440905,1.2956556351756228,1.0007848553321754,0.9557072485478005,0.939181381748531,1.042038114497334,1.012064289104785,1.1246228046674749,1.1236841036540886,1.4119407656731677,1.1585203842872036,1.078297943439561,1.2907677965716198,1.0996584960774762,1.073463131840817,0.9621188955769348,0.9072437414083285,0.8925327891382531,0.9118811743032101,0.912442299899414,1.190117145536517,0.9632263301933723,0.9147766148718934,0.9374766586686275,1.01113442049561,0.9685521433078393,0.9201522068597497,0.9347782745058919,0.9863814599542148,0.9267045639128044,0.9903380792532047,1.0665104756771924,1.1822088155070867,1.0503740518630649,1.0976605398519461,1.0352169399611455,1.0103338174750822,0.9835384969847981,0.9902009735163501,0.9723688387140741,0.984893181851038,1.0483773340391482,1.0338130095984273,1.0380192656967868,1.0226294088787096,1.076005143908943,1.1923523197446286,1.0647733840904,1.060576326685831,1.0896523905240363,1.1090716462288779,1.1435100154901021,1.1220810876227463,1.2322811224764667,1.1961894683527534,1.563382363048372,1.1267644155067587,0.9750112832281511,1.000508908792879,1.1518774947994657,1.1183782814088212,1.1080050735477458,1.1399568428398967,0.9646012664171908,0.8234567896682035,0.8537063321572149,0.8502757465017857,0.7692695352305818,0.9507278243545918,0.909507395352623,0.8603808204181812,0.9043543723438013,0.7894421578974726,0.7595419235822136,0.7291451609265578,0.5977224861507856,0.8658166779955511,1.0058050771428897,1.4691514582509422,2.1405693636465934,3.0301706037021328],[0.31275103808150234,0.46056069222981133,0.5339396179193494,0.3878762264676053,0.4854788481272544,0.48463980917508165,0.4203836168117338,0.44249269587903467,0.42063131748806426,0.39217688014308477,0.39961593561826153,0.5649851788257704,0.41809239542558674,0.40562368487345807,0.4727530414105559,0.45039110439032853,0.5024873097883804,0.5062598024887897,0.5913112001180652,0.5006465444013303,0.549977052893717,0.6174328428090092,0.6820699854770572,0.9007413531235778,0.7066826373488451,0.6390572598579012,0.5308837146167394,0.4647763107285045,0.49475913842836405,0.466276024949189,0.48128941425274624,0.4755845468867636,0.48402160027551383,0.5057812985724432,0.45768535994118853,0.447593420624488,0.48819669289269135,0.47220353843014085,0.4835631896990492,0.5512054648699155,0.63719795937927,0.6420953051995794,0.6172879700360476,0.8813721825251354,1.1532646290283617,1.4743978077196185,1.5132114438337305,1.0192173945982062,0.8619015208887654,0.9751967021522957,0.9069737306011549,0.7866219274262314,0.6991250312798499,0.6220242428492481,0.9805606371585341,0.5682688047927001,0.5927734051749052,0.7143721219718502,0.7370879894927961,1.0348651366908144,0.6909309989302203,0.5760432367200369,0.4796962366090418,0.5629927461470718,0.5641810240222275,0.5071022468267153,0.6660210548932769,0.5617984081207273,0.7099299466645025,0.5957180886388189,0.8115766656349716,1.0696500537281362,0.7612264077285121,0.8775542550192457,0.5393439547391401,1.0608272823687157,0.49718573129886956,0.48327933366857334,0.47834681495729037,0.4875155302183015,0.5523592615973826,0.5834747405927612,0.7283369806768568,0.5218114659135066,0.5316961064256536,0.4818960114966878,0.46049810240258343,0.6284189822759373,0.4588164149060767,0.5786751966111472,0.490628948539793,0.6412520906585836,0.5366762755446279,0.4928770010326931,0.47597111961680594,0.5496562660703617,0.5595842865485907,0.5395416244301626,0.5156234977271112,0.7007582641684419,0.5047345726167206,0.7369413648555173,0.5530783547494773,0.5946346285983044,0.7877603113181663,0.6308587378536917,0.721257584788142,0.6747009833017932,0.6744213057199974,0.7632632695406346,0.7400500494961775,0.5233858794450192,0.43745342849074864,0.46878629832781615,0.47558502526308055,0.4904667899849775,0.5275807956881908,0.5774488601720432,0.6671590179064939,0.4660784823801521,0.46775469021754335,0.4381661817422086,0.48108039929513047,0.4477653643447111,0.426941478937561,0.5413167625673938,0.5279050095896252,0.5627570949271109,0.6036182975976014,0.6231363297090186,0.6313274421181226,0.6774680934495351,0.6810781350142763,0.6469390920491775,0.656726180989987,0.6316543245146774,0.7705068541299884,0.6517034726567921,0.5810081248833922,0.5252396609912264,0.6941237646346265,0.7189971836084326,0.6248463617838609,0.5306181669368594,0.5403783063702977,0.4783835939389214,0.47985875731060185,0.4628837552531495,0.4377903575477918,0.4516584166729548,0.5397967071465405,0.537802828149312,0.8199188251141056,1.3849464891818704,0.9065659629303155,0.5862601344784242,0.5135835221894349,0.5327433076031518,0.47966570068582015,0.5332963122197185,0.5064662967029065,0.474317304928393,0.5375696227814414,0.5411926042974037,0.6304994637040626,0.7139576495677971,0.7352096703281028,0.859258996908119,0.9153502768158549,0.8551948811653323,0.7278818468340224,0.6377814896327004,0.5927725324579312,0.5773986029074187,0.5014089221896085,0.5267345714095409,0.5163290642118231,0.683310903643699,0.5122095578824037,0.5174186625924414,0.5937260631828141,0.6018956055418587,0.6426366577430412,0.7218863589905765,0.665454199871429,0.6801031081744613,0.7270289887087429,0.758845164123848,0.9868666339886611,0.8019553790645985,0.8718648216282853,0.6995039256602356,0.7907279965563995,0.7969337371305475,0.7640862557153623,0.7999031987282199,0.7159477690091477,0.6416820786627028,0.6562392857254636,0.6697699349938181,0.6704631641233797,0.6880683533731702,0.6341091516663955,0.7050999315230092,0.7360976297808045,0.7301203331280194,0.7185083413356773,0.7935647576622574,0.8097078954564108,0.7728467251125779,0.828696735937564,0.8933646467347309,0.9491617912593117,0.8553417626437118,0.8996999641704229,0.8618718450975529,1.0016166816040715,0.8987533920847925,0.8642034256894969,0.8740403867194088,0.8577258027960817,1.0910912009919693,1.1368217719446343,1.3004781440084376,1.1834975516831083,0.8599125519740457,0.874385725537372,0.8266091718357356,0.9517754006550685,0.8176533209251715,0.9484235885707392,0.9744709526466191,1.23298650522067,0.9606708672037844,0.8710945569308015,1.1396272456773542,0.9508786639482364,0.9548470902486638,0.7667325888586262,0.6976779374272386,0.6906725759177155,0.7354075683566208,0.7373609700864366,1.0599199358310714,0.8078418892106076,0.7435860112581384,0.7912879414600072,0.8748870626890872,0.8065343596772945,0.7645595830960852,0.817436339660503,0.8804098321187817,0.803965803291324,0.8893121536517741,0.9853906144073744,1.0975265550331643,0.9779741063560927,1.0406769657152493,0.9548111959475029,0.9086756045474329,0.8488147472874915,0.8632061509562442,0.8734759916850838,0.8407431276671344,0.8894454601315728,0.888410398132213,0.892912804760866,0.8450270938571957,0.9023613511758599,1.0493266768639373,0.9163277200794379,0.9299091020958679,0.9363978433747817,1.0055251847828686,0.998684144062075,0.9539295301320693,1.0849748784395539,1.0853954546665292,1.437927854070385,0.9460463957483964,0.7805117823781498,0.7684782688056758,0.9175894692692652,0.9034519227903742,0.9331285348890592,0.9480736198273232,0.7784460502099426,0.6434859342356078,0.6290122384482535,0.6214109799830343,0.5498542289142561,0.7473116535704971,0.7615938820375586,0.746635496394923,0.7602503675581899,0.6455652451930171,0.6880612545333121,0.679952414929521,0.4795072306770382,0.8665658567803639,0.7989589166767838,1.349821468788292,1.920233183999202,2.711159306473141],[0.30232361077593783,0.3617620783036325,0.4078520296219069,0.299210600785145,0.3731024855694222,0.3789735761493041,0.31107910228677915,0.37718964774566166,0.3720995450410083,0.32699084945154766,0.3545017327295705,0.5297474921625177,0.3532677402221914,0.3506766277915328,0.4399687476981016,0.40380856622810984,0.41349479324213134,0.42493583313700356,0.4952405678112305,0.3894094478951295,0.4495275317599408,0.5221503817891999,0.6039561019635677,0.8415849604891897,0.6139262921781178,0.5576264856618648,0.4256913931576327,0.36930676000861934,0.4057043225051059,0.39121553230713596,0.42711693884202806,0.4224727615465417,0.44004251717464005,0.4625920808463272,0.40734722559885456,0.3810263035331758,0.4198037176594239,0.40488590776322664,0.3936938939338432,0.4264675176999733,0.532148751759909,0.5497387761137867,0.5105478716808108,0.7659603434277773,1.0634580464942607,1.428969034398974,1.4664961546293296,0.9443336741789852,0.787237480526487,0.8842062716615744,0.799530879191513,0.6905826216755586,0.6023589573714572,0.5302535192403109,0.9361999833456234,0.4865000174326461,0.5318924320449915,0.6355471133414143,0.6578848432776345,0.9416375071402299,0.6104783609259,0.5198768557833476,0.42149370366093536,0.5061192224628857,0.4764653687525606,0.43565551391563645,0.6088920002299902,0.48565209693536,0.6261896076235609,0.5339155458185482,0.752723378942821,1.04799062305588,0.7161535395466442,0.8140402273448505,0.4716407141742861,1.0167007260468832,0.4375505946149144,0.4283006882911983,0.42725577815473376,0.40506502397107225,0.4889228207952046,0.5048442607447161,0.7215060132973674,0.4298709309497265,0.4292862660196897,0.3955457089931853,0.39373934588573345,0.5807209027685193,0.3813140312717072,0.5266762210401111,0.4282790174909693,0.5726999507487947,0.48620148882624004,0.4700862988159263,0.4503593475449986,0.5326547352948052,0.5371172678385534,0.4893802185591912,0.46657343866800727,0.6742253027715952,0.47232800559985794,0.6659800148119637,0.4656790142602271,0.49985263262457985,0.730664689848848,0.5648994349772948,0.7142582079617946,0.5691914832091799,0.5748963743684287,0.758954009959984,0.6492589848710064,0.4203624314321461,0.32946098011062697,0.37438768878898687,0.3709541013024526,0.3887603355436002,0.4170920110974838,0.4478925562878253,0.5613871636202183,0.3984446226647314,0.38454305941386807,0.34671274770514343,0.38214967436784747,0.3452468735489334,0.3389771058027421,0.4702444778730048,0.4188365684579351,0.4518912473465497,0.46542156061239826,0.5144383209435788,0.4938783542298705,0.5763684030025704,0.5338068293557592,0.5658313059839549,0.500006030323229,0.4801769303507383,0.6213073092006031,0.5167173655794575,0.4572254559230821,0.39877110271516825,0.5421159403488139,0.5758573518335109,0.5166368211381955,0.4159283977311152,0.4114261755261047,0.38069452727281045,0.3696052685297081,0.36535797897388306,0.3505150753527203,0.36862537264200756,0.46766846988022137,0.4700658378630582,0.7491872506108416,1.3753834351671195,0.9031028010348848,0.5377763719069933,0.4554052662271005,0.46419961106499086,0.40032550295495634,0.43321872358668617,0.3950520194829362,0.39808560036105506,0.40813817471581937,0.4045087534167853,0.470081984193795,0.5912898242767582,0.5539773088507277,0.6606489147818781,0.7310324973471967,0.66919256897281,0.5471331078193439,0.4780668844501289,0.45525744774899424,0.4611113447656778,0.37776444185262126,0.44754751632408485,0.43571262582677384,0.6228009031142049,0.4085153550140244,0.44393799413181784,0.46794486818268016,0.4860220719319356,0.518053833246459,0.5796925924105071,0.5257242910009374,0.5491217936487467,0.5888218652441828,0.6373556215662496,0.8963090848158504,0.6842068552220465,0.7482238694750482,0.5790213144807823,0.6426677654373948,0.6593703361718946,0.6138552472202986,0.6378908477244218,0.5694961879634078,0.5072013069184721,0.5334050290856446,0.5631938583201916,0.5837734690260822,0.5976711857865281,0.5353972224051404,0.6124429575648036,0.6623384391553362,0.6662748082771903,0.637054069675482,0.70903450847913,0.7450325324415977,0.710813039089854,0.7763116222902552,0.8197662075685466,0.8727327543120946,0.7827596203044801,0.8490332490453764,0.8324154675181601,0.9732605193728384,0.8351246090118191,0.8084658490205955,0.8094728027330764,0.7845887703038189,1.0804502182488867,1.0514507911518722,1.310849015204215,1.184680817086976,0.8109257324479321,0.7992037825675056,0.7675913636622369,0.7750741240996718,0.7141419761534439,0.862347918781533,0.8589767884019531,1.13270910582915,0.8550823424273972,0.7963411625234285,0.9851202443649928,0.8275407787813694,0.8478767745561584,0.6503473063453428,0.6169961496378905,0.6348400885241638,0.7011823274520655,0.7275350143010094,0.9757000530461619,0.8192974056387249,0.7288408456815941,0.7194809743283033,0.8683690324614178,0.7967609998603903,0.7197638791457562,0.7653647644100064,0.8316583030743072,0.7341662444440022,0.8051317770708818,0.9061154579409888,1.0052497350937086,0.8882720885529648,0.9335921783909987,0.8565896265287642,0.8073758428859839,0.7751535685925572,0.7859597142745178,0.7841617706515682,0.7660027339383798,0.8243202763689503,0.8034584500257594,0.8187739765254741,0.7496005048950118,0.7932223645482851,0.9557009135496701,0.816847841083146,0.8115687695359429,0.8321958967898514,0.9048892850484095,0.8801932218734282,0.8338485086673758,0.9645301803880668,0.9857817115666437,1.3018379055476412,0.8642695463732846,0.6992105832384795,0.6712777637079932,0.8438361152228041,0.795224325164709,0.8308561520174964,0.8606121423045913,0.683796159465142,0.5275707571859157,0.5014819281811528,0.47873408721161564,0.46154882932817903,0.7394218178187997,0.8640799499650654,0.8251725475546887,0.7813866698833724,0.7521422565899213,0.7975879414304793,0.789103851066529,0.5377523874652501,1.0107499992210849,0.6699964984067235,1.5099656583107002,1.9814097687248133,2.39060655118378],[0.3208707879678093,0.3472382844311977,0.40028909643276445,0.3487445533108171,0.40397385664652546,0.40308406622545023,0.32725307036079126,0.4067902312098061,0.40235303897438945,0.3602471048932181,0.41079143504384075,0.5492751411548372,0.384385414009047,0.4149136234034691,0.49186622606576386,0.43829995664250787,0.44259967930715405,0.46756710419754655,0.5367990099036349,0.45966130335347954,0.5049528323489094,0.5610030983587538,0.6436907811159094,0.9375899659185846,0.6252904706600597,0.5900580634781554,0.4733121883694056,0.4031206900739179,0.424693193377109,0.4345867009117627,0.47812673127820976,0.4633458867085777,0.5243078981523034,0.5198918610811989,0.45214657331696106,0.44379432167024674,0.4626462444545861,0.4470275202404661,0.4336730807491264,0.443866989590479,0.5588912769388554,0.5894071915524403,0.5392201588941576,0.7823110082620381,1.1126381325307548,1.460074307622254,1.543901770523077,0.9857380548289024,0.8112437606569298,0.9146718088102883,0.7834340407726902,0.701092262003257,0.6040875652285236,0.5510299719619655,0.9216357698684516,0.5120285733098145,0.5795290173809317,0.645302576655195,0.6718901069724467,0.9589581050066007,0.62143887676658,0.577874329114447,0.51012873525383,0.609630036889107,0.5173929555150345,0.4931568575743311,0.680821513929736,0.5364582648215958,0.6550596590951363,0.5601509607430719,0.7649133593521582,1.0721877138615294,0.7338949588934741,0.8847366489358368,0.5329078795267865,1.1179939915114545,0.5046768441872324,0.5062995779279833,0.4686431296540957,0.47088698930138495,0.5212034748076304,0.5212206071649231,0.7515943571843746,0.4489785654810926,0.46684131284758995,0.41147998724133084,0.43496227608918764,0.6098507173945777,0.43280212819668606,0.5642980067253637,0.5075707493771078,0.6466508716034741,0.5745732505802419,0.5403220942253555,0.5077833468459116,0.591705453643154,0.5746299801614401,0.5401393036685206,0.5090203493717926,0.7163655586620058,0.5070906146769201,0.6546977089253532,0.4756711485811233,0.5025020021499474,0.7246821991772681,0.5813979689419942,0.724484539839119,0.5636400554035262,0.5781571137161574,0.7730387507175336,0.6392911514389522,0.42143563396555106,0.3537985521649805,0.3984684012718372,0.39854793026420865,0.3970987932224284,0.4393269301184714,0.4613790632447247,0.671670237069931,0.4404644190019388,0.4411164650779493,0.4093374518104629,0.40889183808254614,0.36681162885734464,0.3666617259126392,0.4660754668702569,0.42302145779385747,0.4489759330188814,0.4520462379747285,0.5092598577541465,0.48453966217123484,0.5626085580897465,0.5096002197620654,0.5498585673253563,0.47464828287492,0.46936741752108163,0.5993748297540719,0.5053823263593414,0.42837865293211,0.3804913471671685,0.5049183744848572,0.6238238271420425,0.5536794260805642,0.428591039469048,0.43723668276095445,0.41877088080142205,0.38407676949296327,0.4066767592161592,0.3823849402359285,0.39191078480711916,0.4959321415722868,0.5005770583097464,0.7712747452369283,1.4351385446334068,0.9669452363729295,0.5657088090155019,0.48659674611840387,0.4866486128642946,0.4361794989566059,0.4437459600754811,0.42268447968749484,0.42526781959333104,0.411438921720617,0.4095308028809102,0.4640078864986236,0.5758156323454995,0.5175644040481671,0.6251942724791054,0.696483259923017,0.6284585960858465,0.5141007936954768,0.4626246400871725,0.4496340158823432,0.46606519313623623,0.398937510470468,0.4774679322354629,0.4750096202358236,0.6697263715015058,0.4416027853640672,0.45496745428316443,0.4624270136691943,0.48522415221603626,0.506782100984106,0.5539193172745216,0.5003469115522529,0.533978118137434,0.593945911114835,0.6072529533027312,0.9021208612953248,0.6728707207480011,0.7361291746594397,0.5500378642721011,0.6067718464043774,0.6340404556975701,0.597338567486123,0.6330094279683741,0.5563027234305649,0.48548780043087025,0.5202641113563019,0.5601137688009955,0.5698706564187974,0.5955629871838194,0.5276453013526312,0.6046640276282333,0.6691791994395013,0.6762528208255408,0.6269508659961024,0.7155275523234852,0.7756655316194877,0.7243265801362456,0.7921689790020575,0.866513111961934,0.9027601283835781,0.8015711702186304,0.8926444060560236,0.8466564627409447,1.0161682303525983,0.8673860221533636,0.8211083219433293,0.8520877814379239,0.8249474739291898,1.0831509017425716,1.1344240400896308,1.3492550636471503,1.2102726833759945,0.8395807857117947,0.8109757224912351,0.7777042578029791,0.7903709886836701,0.7137779714167842,0.8602390625895708,0.8657549901390462,1.1274171600981162,0.8387139853758967,0.7701324015571911,0.9960248141400686,0.8281677994297375,0.8505428093229781,0.63822552251526,0.601571218651045,0.6341812132344651,0.7084718608358928,0.742734393409063,1.0050400263716786,0.8459436199859325,0.743922270887425,0.7516708939840625,0.9197955321537105,0.8238189406424729,0.7498673588029395,0.8156918091790565,0.8841944091147531,0.7770230175304127,0.8636581250677701,0.9721006466547071,1.046675300107812,0.9578007108199357,1.0230640964441835,0.9192646266789473,0.8619566826514625,0.8092547935119907,0.8188436923192264,0.8330074294109708,0.7949576880680069,0.8470690317348226,0.8355917310200118,0.8480442519874803,0.7585590730514936,0.817762658331459,0.9872209359791445,0.825042183291726,0.8262144338860689,0.8506650332066799,0.9323317320949158,0.9056293198619753,0.8471317278123973,1.0124298370997944,1.0121191277256192,1.3682075758923236,0.8627414677350268,0.693825788823605,0.6600921395630048,0.7875868890129166,0.751928692284416,0.8078134003063135,0.8253271172471535,0.6642382589050604,0.5322073776829057,0.4866325062227717,0.4679464520880571,0.4459839511010662,0.7648016858021587,0.9554581803797509,0.9229386619084796,0.8345027693031688,0.8651388875126875,0.9679071365233892,0.9056108528951783,0.644888774696864,1.1777501706163114,0.8072632544661883,1.8488536905947066,2.490188456940546,2.599378080070742],[0.35678057892275306,0.34903494414621766,0.3866933718747872,0.41934396438151794,0.44105175970455185,0.3896281367694939,0.29261113699677505,0.374827853631435,0.37342402986770756,0.32283209571096516,0.37722283465522594,0.5049740913361735,0.3363573443366546,0.378181021282001,0.4695382040348194,0.4119770800438193,0.42856304121681266,0.44493904254987954,0.4754017565799272,0.43202232156691156,0.47497866153335555,0.5138105563820208,0.6554481029863886,0.9767732240464295,0.6331439688899103,0.5698225594936102,0.4605015031064274,0.37688680837629823,0.4137036317291723,0.4214409529781149,0.45382138100518854,0.448937311093701,0.5367438032334956,0.539599425223955,0.44012502848072005,0.44160413580705127,0.4410263629998165,0.43376329708494255,0.41035543764453614,0.40889553108816495,0.5120729128584675,0.5312505991112422,0.47603069565550016,0.7049056298268298,1.0455097395702513,1.4039332177365027,1.5254024664623862,0.9164856401160099,0.7556524783911908,0.8856240386228644,0.7663160481610488,0.6729231054744345,0.5913453318386706,0.5207041007877374,0.8784733378849242,0.5180346495480416,0.5772346018457764,0.612854753240994,0.6656861821986723,0.984970361401398,0.6101589919464597,0.5468336687062524,0.530320554351475,0.6675271483098683,0.517453619493237,0.4935524541233122,0.7244003197572678,0.5039590249528455,0.6242051673337251,0.5478516091099669,0.7267447797277341,1.0353970538995443,0.7064504703605855,0.8915529203723966,0.5403100898177766,1.130558248557719,0.49788468111882944,0.5121066588804303,0.46450496611933234,0.4818995023311732,0.5218358652928056,0.5100213395082024,0.7414131152428634,0.40729385088304254,0.4387914243472863,0.4025645109663102,0.43760772050368807,0.6005962140471265,0.43275102927129205,0.575421505145903,0.5205528458840891,0.6844527205658686,0.5841551809187866,0.5586456262691855,0.5171611320324517,0.6158959557504512,0.5665931960169276,0.5346785475947734,0.48269641784510847,0.7136565301966061,0.4768543557212819,0.6318704971228555,0.4559286782658542,0.4899952238174921,0.6541456623965257,0.5518163841015709,0.6756983886717776,0.5053786766058889,0.5250674406713843,0.7417447257714156,0.5871307924019769,0.357718826838295,0.3173545789608647,0.3599389615031434,0.36934025754340377,0.3555034603326192,0.40749710198656813,0.3928803549845771,0.6616138628778752,0.4479300487464093,0.4444039479061162,0.3883128557443555,0.3666107307357344,0.31348067550742426,0.32737156583229493,0.39373285435839334,0.38244957639578925,0.3811208139694859,0.39264683400044226,0.44517048889539523,0.43100838843318184,0.5169194010910156,0.43851046376120245,0.47169904775481075,0.40415754849511004,0.387786940435392,0.5511808700286063,0.4172988674524658,0.37627464761230134,0.35733449765127623,0.4279941855819635,0.5953943768546432,0.5341022150887897,0.4008614299364229,0.41024182099460815,0.40142728307773917,0.35938017085550644,0.3647971124802926,0.3460486439702977,0.37265225576638467,0.46235905513122066,0.49504481879153467,0.76672696290388,1.4750599789616796,1.023704284704436,0.5711134690379367,0.45756070389467945,0.46252590431914326,0.4087923364147203,0.4104804256571798,0.3773726242700905,0.40723724563873115,0.3714063729461838,0.3856170903856485,0.43575039668606963,0.5300212234459363,0.4384992042204852,0.5545723625580277,0.6138897874567353,0.5567810579161212,0.4384354105233344,0.3880186767788192,0.3997960097840818,0.4019886516452745,0.35235141944560994,0.43520661232167696,0.44289801100021686,0.62974000900999,0.3923015874118797,0.4312125829817531,0.390144174886607,0.41195069137852,0.4228642239404372,0.4930844378545552,0.4376857337495621,0.4878825302927709,0.5539571525022594,0.5827075148364158,0.8505741882247014,0.6407943426694148,0.7285480966263311,0.5502848139092036,0.5535510414949845,0.569952839712571,0.5244501526427708,0.5811953049049783,0.5198003289645439,0.4488224165818602,0.4828822348747575,0.560744364367545,0.5291303010242353,0.578395231250496,0.5100313608903992,0.5600043826599433,0.6451887351674689,0.662576404149305,0.5964517939625172,0.6893079876807772,0.7790122668918126,0.7226391410745114,0.7809702969587813,0.8725048602931125,0.9253102951732656,0.8110252261036952,0.9022572843222832,0.8312427066668105,1.0261010276793583,0.8307616790752432,0.7921166585578775,0.8436258846371186,0.8092499992218708,1.0804657099540063,1.103822879954185,1.3496088149678023,1.2050173606154628,0.829208536125548,0.8179084187519033,0.7803920135900929,0.7702556462710208,0.6473822236846686,0.7887669696093197,0.7935739930848379,1.0244694905477183,0.7430620381548743,0.7315619396127225,0.9358081473650607,0.7880971211930952,0.915813993749512,0.6068100504746331,0.5794954228155081,0.6014870612170197,0.6909768492559697,0.7533037897784215,1.0148630446682199,0.892704071992247,0.7530964447302093,0.7623269970052345,0.9757841226180123,0.8514073728480256,0.7739812501456993,0.8605294499384201,0.9346367053828794,0.8124139468981405,0.8889696801903412,1.0084310013368456,1.070014602132755,0.9889612283524257,1.0534227864142474,0.9331109743332917,0.8704756654118045,0.8085358806821903,0.8135991898925802,0.8252719791140818,0.7743171593081228,0.8142750904940206,0.7969687301913976,0.8093657392986268,0.7027562041290728,0.7517072642686258,0.924009426258317,0.7668804373753381,0.7749651226492629,0.7976613486625301,0.8974799153315172,0.8689179733520387,0.7970723808115944,0.9819479083845869,0.9958192269415677,1.3143634654364393,0.8147228192319279,0.6417325528938286,0.6091489018413357,0.7127953353237558,0.6691866154856091,0.745051066350111,0.7429130371416747,0.6159918827409357,0.5310245018590335,0.4617563308602205,0.42745552260185027,0.45518893699239243,0.7549458142616252,1.004140989933348,1.0035303638016397,0.8522096708816964,0.9300573019037155,1.1277756644504566,1.010881755949337,0.7139223373606293,1.3331479667577841,1.025809114203287,2.1640313054997025,2.864662402967756,2.7243744122117244],[0.40247418328160517,0.34785995727972435,0.3463158392783892,0.37873125266140206,0.41365149932137896,0.33928655996573204,0.24187069478574336,0.31521658244583367,0.314874633003157,0.26714609635210734,0.33158103057285154,0.4453920843432021,0.30010898645125417,0.33419070593129785,0.4287882268708137,0.37656199881209745,0.40866458110812565,0.4310055982087594,0.478336126568493,0.4403802208110694,0.465837789322587,0.4812637361382918,0.6697592989957584,1.0186148147654746,0.6191269525564415,0.57298172615568,0.4661073636924601,0.3680970597193613,0.3944144261024301,0.38168574819876777,0.44972426149057054,0.4259750881441418,0.5455973732852916,0.5363931309190179,0.4167461306828387,0.41763339485162365,0.40480957783145954,0.37871766747783076,0.3666286866445471,0.3629442437720626,0.4797734763448237,0.5102516396549976,0.44278415395359794,0.6860428735943686,1.0430974063559437,1.3924405178860608,1.5421034841499943,0.916619328741668,0.7454356250032373,0.8939638931806088,0.765533972380629,0.6675869625852666,0.5789637822588122,0.5035237058922958,0.8819859539196808,0.4850973311488118,0.5269667867809081,0.5947701266873122,0.6553197726643392,0.962698110884347,0.5847197138221817,0.5152731723121766,0.507947680900275,0.6902660242667331,0.529971549476003,0.4751786051770304,0.7392603793857491,0.5221023173675677,0.6552981907398591,0.5654721204946755,0.7344465414454118,1.0800094049033695,0.7285565211515685,0.9376327491209503,0.5475783128173045,1.1608361782323433,0.49180204518569953,0.5222707146605612,0.45564434118489805,0.4777050673709815,0.5061435266855462,0.48732401069984743,0.721823989303147,0.35876316564851085,0.388422488829717,0.3627645333968346,0.4085980557247299,0.5723723799694913,0.41903321145982514,0.5797877348480317,0.5303002179385652,0.7124256424491796,0.609974264705788,0.573424884359978,0.5171174582489135,0.6274428200981054,0.5546699645086083,0.5102637530440634,0.44483290512058654,0.7007224611130367,0.43501427205540294,0.5975350604574231,0.4024709340238059,0.42296763703835544,0.5805591137370204,0.5177596041881554,0.6633657536293139,0.4844974686609078,0.5081589953075893,0.7254419980560859,0.5509298046917487,0.3119410522368504,0.27552461948598594,0.2935497973492135,0.3189446757703687,0.3142284729922501,0.3774341721326889,0.3696334348754426,0.688888425849626,0.4576681404809022,0.4520555035285559,0.36480398674884157,0.357316795494408,0.2710607920003716,0.27408292620749547,0.36477917413198113,0.3234049758539751,0.3313388890784583,0.34591438127906826,0.41965219187299774,0.39226222590139803,0.4786435592076334,0.3932183897007943,0.43217006168111916,0.3684588882322588,0.3520583850253465,0.543479458427834,0.3825780315871449,0.3461603314252858,0.31926077628409333,0.40606630272526834,0.577156364452961,0.5264449844468448,0.37431282875546507,0.36473814380009867,0.3599968880025556,0.30850009405517514,0.3234501858631293,0.2834651712675573,0.33396189644330815,0.41307366890551883,0.4445608672929894,0.7189413130616742,1.4781552722274018,1.0275363040554732,0.5382084967443452,0.4079309113016279,0.41600281764831193,0.3623957812819973,0.36004878764294224,0.3288913226553513,0.3401646692536256,0.3307861199183953,0.34436121841819256,0.4143105889478189,0.5023622259940023,0.4054810067354645,0.5266900978222612,0.5757890319187927,0.5173643475412465,0.4125431241555247,0.34891336207567514,0.36719594311981607,0.36099370815478177,0.2920441269709932,0.37317621652452426,0.3965670350173594,0.6031894884039762,0.3431940674998742,0.3818891363057059,0.3495473596184182,0.35476674890040844,0.3671283509370998,0.426728060556112,0.3856265331826818,0.4353803625671865,0.512374947547977,0.5610425290253954,0.8592718003669751,0.6186742615667464,0.7208089667844716,0.5530592295092356,0.5216154807932402,0.5281086414586019,0.47613684805091633,0.5384077840254817,0.4951770733597207,0.4151532218164788,0.44077911736101627,0.5320947850693124,0.4906363478122101,0.5582175193845619,0.48091758157196357,0.5242666469614837,0.6303309799152037,0.654378993816239,0.5663437916094423,0.6590069924432548,0.7705229179872757,0.7111451386830576,0.763345338229555,0.8619009853231144,0.9292236232535931,0.8071348761081463,0.8875543263592593,0.8157224598059492,1.0083705856455207,0.7931872921336,0.7582516626561216,0.8202336026492103,0.7853139659132952,1.0689855898900276,1.0604371038098552,1.3610130333229735,1.2106955134516053,0.8295721517764996,0.8176620940004806,0.7875385352970006,0.7183359328494112,0.6033092680811747,0.7547573479514158,0.738225648878795,0.9581529875572352,0.6798147930043912,0.7048531889693888,0.8930983562784058,0.756393544346701,0.9031129005418446,0.5548719250894797,0.5686849660312906,0.6027299888187719,0.6947396547831188,0.7807867403000286,1.0125567131948359,0.9318391089565903,0.7668379032849515,0.7671248456952116,1.0134217223408053,0.8629891810530211,0.7874699720464052,0.887247613169895,0.9585688513158492,0.8305930631127996,0.9057380509488928,1.0345539062643088,1.0767405618965036,1.0040269719861743,1.0660808515151614,0.9322475735358945,0.8689607224761318,0.8038574509098735,0.8059886929371014,0.8089710701342779,0.7537777639930462,0.7908746548226007,0.7690340146217531,0.7827879402051771,0.662103533444951,0.7042860770651407,0.8881468794518241,0.7318710271091915,0.730659258278685,0.7576620062075439,0.8695431895931377,0.8416598963949952,0.7684735866703758,0.9560700029905697,0.9831548023467461,1.264925792470233,0.7902540309221003,0.6117832453287813,0.5788299101571533,0.6970809635278669,0.6448753240945198,0.7221024711822773,0.7118636425791293,0.5869218194018934,0.5007958358940475,0.42474814756686574,0.4013797443346654,0.4193787731883823,0.7624968655853803,1.0750817804109798,1.0912935529912557,0.8754043344342958,1.0008919769507636,1.2923871916717224,1.1092312970168259,0.7831140856820615,1.486262082627154,1.2639354457968606,2.5311165028672162,3.3591907279011406,3.0289453395841055],[0.40163176686568136,0.36021782619523546,0.332279620828774,0.33271727263049006,0.4043742351960702,0.37768660005731886,0.31176056733057356,0.3516375367701432,0.37046646801891925,0.3443724665904816,0.39196939261051383,0.4673446751093517,0.38665083857651,0.39732243618525703,0.4774854347140193,0.44138344890935344,0.4718308678957022,0.48658324936970854,0.5624201586960225,0.4998015462508999,0.5167876518574024,0.5266076261303505,0.7939460846173931,1.100293827653535,0.6630212389454638,0.6240515802414827,0.5229517187258184,0.4391722815381324,0.4636496231841448,0.43212901778774726,0.4985384830724636,0.4554487879650503,0.583840569607778,0.571157796863266,0.46376347993063477,0.4714133581174822,0.4502749644611958,0.44604509212104093,0.44260760905463603,0.45779677750988057,0.578344127333337,0.6168856939572865,0.5504894798011455,0.7970450848764359,1.1527148465044428,1.4731831069812111,1.669481319163627,1.0398675760712324,0.8476191260409363,0.9988184864184009,0.8475673793448917,0.77586305976965,0.703207738948278,0.5997580387458653,0.9001340397658325,0.5492146071375488,0.5780825521519098,0.6735163428998285,0.6742644085182912,1.0067843071093145,0.6268661793650919,0.565666891512232,0.5585540888355056,0.7507101757467503,0.5981463435230501,0.5156821520666824,0.7622473546465023,0.5736106072980703,0.7235090865276701,0.6126960421709203,0.7638126960981462,1.0911907596344244,0.7636816507589952,1.022290389716802,0.5799474981358236,1.254567362371859,0.533145337806284,0.5585376482538138,0.49982723113764777,0.5247587615414198,0.5382547458422969,0.5276420135767677,0.6852873960350303,0.4169228253469244,0.4575976175835239,0.41505808238907943,0.46541043479233474,0.614154758133832,0.4804849970025981,0.6106831728381569,0.5814768119181591,0.7855316166125913,0.6745365688769359,0.6205434622017312,0.5591188243272508,0.669322876762207,0.5844350068398915,0.5433788002422442,0.4750298958602474,0.7253965096662142,0.46897375533820873,0.60871270535643,0.43823528491237207,0.4519348003008145,0.5922785437509709,0.5729131201106956,0.6866516128723794,0.515259613863254,0.5281578857090202,0.7588486445003955,0.5947304017067732,0.3999988657211498,0.35232294058816244,0.36591570978860694,0.3935855420376401,0.39812036272704887,0.4456785558227278,0.45844895398583785,0.7973294944903438,0.509558717059626,0.5218744625335362,0.436235651313565,0.4444056526775465,0.36397475185118683,0.3662323408181184,0.40189795807712847,0.37689440083917763,0.370036638722865,0.37554499967829197,0.4727576158303225,0.4289883158783816,0.5006304159324213,0.4506199881035778,0.4663417307373522,0.42330938005199154,0.4083473838636359,0.5959705775719892,0.4571085832557623,0.39004378278325336,0.3891198447517179,0.48191141087019346,0.6407282793443984,0.6108119586765237,0.4608296718334369,0.43713820544633175,0.43413577491961536,0.3882831630807179,0.39554595558870637,0.3585625859664091,0.39782359624854635,0.4171477611377603,0.45956673582611407,0.68293699581648,1.485106066981592,1.062436760667181,0.5547341332787038,0.4348380295222183,0.4345362871024447,0.400767481292068,0.39832731560232965,0.41589686866043296,0.417199830459692,0.4102119898941018,0.42269555573987333,0.4770712780784498,0.5041222965229787,0.46566067348842605,0.5664340723004738,0.6300942036302012,0.5579677224562754,0.49496185227780365,0.4231674878725966,0.4397253492396238,0.42447323319323466,0.37397436400754597,0.4320876562540763,0.46756051863394527,0.6209352228693383,0.40803479721879005,0.43941413538664087,0.42206777843985516,0.41090089783856976,0.4315795234307153,0.48453872571349466,0.46601493789921816,0.5184993563359731,0.5957220570658633,0.6148312424166378,0.948893463683047,0.7047259415006826,0.8171741582112613,0.6325893813257799,0.5800807961725059,0.5866533969878863,0.5258468601793658,0.5962951996279852,0.5604574869293029,0.4493724379605825,0.4701032360855671,0.5573810331798263,0.5012644127716939,0.5528423353365808,0.4983254679981232,0.5217683903111291,0.626415395813158,0.6667774381929074,0.5561483026713145,0.6561988380920233,0.7620334117521467,0.7202763442891541,0.7606369417079035,0.8482975676717093,0.931206099486428,0.8197000537285496,0.8883771794469703,0.8147579168713461,1.0103924854221014,0.7941176691915672,0.7472364137324283,0.8053815817546744,0.7678816733496234,1.0384364560765311,1.0178192202773364,1.3501728019106827,1.2399452708978433,0.8518866159206328,0.8634851488032118,0.8301281146870162,0.7157081241716872,0.5874903425961158,0.7314515648334096,0.7225154984792608,0.918615632634211,0.655467677982736,0.7135798507459501,0.8945467945416257,0.7849913504970486,0.9721796300186022,0.5615886257294078,0.6223243155587418,0.6376661267344564,0.7044038168232162,0.8046784087946752,0.9784365014373543,0.9430956550149341,0.7721776652131916,0.7711971013893797,1.023623060612869,0.874550176443766,0.7999320291178293,0.8918777243861222,0.9651198965369121,0.8309830978330722,0.8855186780498656,1.0181131899883953,1.0726821903027768,0.9847324523516735,1.037545540776862,0.9054947555118517,0.8451033088664842,0.7876126049793916,0.7896585988412654,0.7856217292279367,0.7310854883772688,0.7582715933821143,0.7391493759785204,0.7615567361299017,0.6517027778306596,0.6833881156989015,0.8726401322302274,0.7278953593253225,0.7352659420078366,0.7523439740258426,0.8737254956190601,0.8459490328903017,0.7696785272900533,0.9814219695927038,1.0218061093057436,1.2501657656119824,0.7938370387899476,0.6219606570038185,0.5893356044491569,0.685017890737736,0.6081817383259761,0.6972022857354986,0.6818160319062387,0.575635646797839,0.5011450509079813,0.44743142597847957,0.432778914709778,0.42788531142820085,0.7967084759301706,1.1029791682335113,1.1768281726414032,0.9474583497935486,1.0200811288431477,1.3914745111324973,1.2701289361873658,0.8516286713286279,1.530088596244062,1.40226427597316,2.7605825251441116,3.5908665039891576,3.204776580256634],[0.49636443253669077,0.3969264194149261,0.3566861600375712,0.3947380139719297,0.4639417369820064,0.4113464527788487,0.345502417218091,0.3820620444126847,0.3800985096395752,0.34575411543237106,0.3680910846096162,0.45403686736421817,0.37993393430752537,0.3779567026935923,0.4674233512340574,0.434475424393381,0.46589079731122174,0.4700181351878709,0.5459753394629554,0.4855614983361325,0.48097342058125875,0.4829089367256271,0.7416032282402649,1.072510832905896,0.6208484384700135,0.5892356273540752,0.5190764469417779,0.42913723033601164,0.4553657779084399,0.43438759212440925,0.49383213813586857,0.46691778878988244,0.6092710661491576,0.5898405755930807,0.4724604343624074,0.4657085814153561,0.45872511597673,0.4368037770377988,0.42630193039821135,0.42964530367467685,0.5400410818435033,0.5764194479073838,0.506983278407234,0.7197125890524481,1.0618018219902792,1.4065630234165338,1.564849685411268,0.9501830507324992,0.782116210735602,0.9280846600281193,0.7989521841419789,0.7296184117270919,0.6533857970861724,0.5844745149638849,0.9422666927132816,0.5319158239280746,0.5694535362894234,0.6324072348657853,0.6520348760982796,0.9681578556675182,0.5879994144679538,0.5638037171778573,0.5501420276693513,0.736192121004897,0.5785637858771616,0.5165229300321476,0.7609509576121166,0.582348610631407,0.697073620450087,0.5955045000193172,0.7724466207223423,1.1408709917374509,0.7622456921059657,0.9989177803740762,0.5819433454911169,1.22151144870326,0.5437666132314347,0.5787732456071545,0.5114886580765011,0.4986240448124372,0.5638957127095099,0.5606921764164431,0.7288231692698881,0.4273314153256816,0.4393075256526182,0.4294845023266862,0.47961250709118197,0.6090112258319099,0.469916989462975,0.630180641149374,0.5931790524221752,0.7774243857808696,0.659922561505563,0.6328419090772748,0.5673339055230868,0.6809195400776339,0.5976134617397295,0.549165908980513,0.47738974615541685,0.7435821790731331,0.4725874094916326,0.5994945114054012,0.4496815703365927,0.4604985880610935,0.5679208968874888,0.5783830141764915,0.706461626495995,0.5156945366077517,0.5349424014968119,0.7436253431274626,0.5710482980686643,0.39349039221008225,0.3824314603994324,0.369841005694795,0.3945263156830653,0.3725512275578483,0.4238563095839405,0.4211169341813182,0.7984211700351281,0.5276625822500007,0.5335978685112892,0.44093828576939237,0.4246102781371683,0.34964648993778935,0.359130227978288,0.415241651219579,0.39817996773717385,0.3999657237784553,0.40296469889010716,0.4980341685196591,0.455358302793277,0.5265709963909168,0.45488967277877507,0.49944078386673896,0.45397772564210465,0.4422420333642215,0.6064621536917518,0.4459059129127567,0.3929428751526377,0.39377626272929805,0.44790077246102206,0.596879620555234,0.5582031427981234,0.4404569175086326,0.4312371337403208,0.43353389875042864,0.3789798874409504,0.4160580394603463,0.3732333884066213,0.41023137485215794,0.4384321198617386,0.47456618279468654,0.7041054871745617,1.4997199423107377,1.07433326846902,0.5874928017927286,0.4406969491032004,0.45469991185142605,0.40644901073802053,0.4322601085020788,0.44069907605932124,0.4041260978998357,0.39799831137487945,0.40966722110228315,0.46750110028816366,0.5406077082416321,0.45941615505946287,0.5388459635301064,0.5923523027415103,0.5389340713202349,0.48303268851543957,0.4134480628905636,0.42431954434162744,0.42284718770624685,0.3713081427086493,0.4466106755107932,0.47204787477411186,0.6533510697578864,0.42563841293027577,0.4561025539915192,0.4176834748556327,0.4209679281701604,0.4205355754479112,0.476077769381502,0.4526161553638204,0.4856820713071295,0.5522970002526442,0.6191101856672708,0.9162587162964034,0.6677399623410706,0.7788745528550152,0.667976299314835,0.574661357195509,0.5694607733071823,0.5158571390081176,0.5685674210715661,0.5546087458058734,0.4590346849712568,0.4707120990834414,0.5697564472733485,0.5187442112618851,0.5928062289409823,0.5207318294862218,0.5342032684470283,0.6411094244057363,0.6769733515295743,0.5731929453091298,0.645981726760909,0.7566126083013698,0.7012858447607757,0.7341088838049395,0.8164060576606358,0.906309479177096,0.8030864358306914,0.8650543723875611,0.8021811953722383,0.9574148915774454,0.755777642954197,0.7218673914502651,0.7770397372952473,0.7358635814983385,1.0591455777609873,0.9578724299140343,1.3914424447378422,1.255858448829286,0.8783827936071308,0.9066408693100523,0.9184838855836449,0.6719042647582558,0.5968245814416032,0.7679192232560303,0.7156464404425926,0.8798690505117529,0.6440509204695556,0.7844606217104153,0.8243862523625287,0.7579924551660502,0.9636805989271781,0.5508450118980105,0.6423195306728915,0.6987343029975905,0.7643238152075096,0.86512596254412,1.0296428750722086,1.0013096198270173,0.8051900345723784,0.8288627335098686,1.0963241542524744,0.9301025756547783,0.8472221361478868,0.9413501086167632,1.0121390552123308,0.8617468564409925,0.9069810691538208,1.0374512612612938,1.0603157560533358,0.9777588123477781,1.0206215719060427,0.8856417224888796,0.8430166755876362,0.8088606744953997,0.8082611812250936,0.7680976059107376,0.7224779057131461,0.7742621449940065,0.7197356841974606,0.7384689838590752,0.632520019700572,0.6427784350574808,0.8237312102133793,0.6953445586959726,0.6845425002413154,0.7006828515108882,0.8168174059069838,0.7815542497816599,0.7300934594339504,0.9410145184882749,1.0013575427753323,1.1875693537364154,0.7840282158051572,0.6161539396840192,0.5790252042050178,0.7347192814960366,0.6383515712128766,0.7195790866583519,0.6926559519960457,0.6028974792473089,0.5284922114935132,0.4594039039127081,0.4431918635777356,0.45531699535955883,0.8173142472925625,1.182307865273656,1.2745987738159767,0.9483874221508045,1.1053629985283033,1.5603310698448818,1.3052336598116374,0.9014175334182605,1.6902659245377725,1.6761754836215326,3.1420115837068003,4.132151354574758,3.692510115599464],[0.47863125480989627,0.37668353198740784,0.35903391653859296,0.428326983569062,0.5247316377574301,0.45653835517874447,0.44541348186855,0.5032970078042981,0.5284376459480169,0.5854079505050458,0.6140462324106795,0.648220904852349,0.6390704769985543,0.6435340676452059,0.7297342661478404,0.7094382166540238,0.7283528632633268,0.7380206327368096,0.8530663022873847,0.7814931642754855,0.7885977102214007,0.7868485715809841,1.010445445468518,1.3357458431290974,0.866879526372376,0.8596790489771907,0.7796175801867973,0.6927485515179402,0.7217667059192221,0.6695220191893975,0.7752171757445743,0.7202100532708938,0.8388119014635078,0.8344988504374096,0.7314472352340429,0.7196914937654535,0.6912764381753614,0.6918724784534487,0.6775563628548775,0.6752966685015309,0.7807662543611984,0.840021350615394,0.7925054498901344,0.963122566983563,1.3079551185256986,1.5758399304168669,1.7833736826364575,1.1678202273979394,0.9942221231081192,1.148138296133748,1.0077659675369834,0.9372272944965274,0.8980537407407175,0.809935752799666,1.0399017728202797,0.7628334275990113,0.7706948458771139,0.8960358990321494,0.8676092743319529,1.1057698139509395,0.8280504765663343,0.8402915383562432,0.8220282102080954,1.0498659895654463,0.8897285405129524,0.7641096478285025,0.9752761280564826,0.8660184339089486,0.9684995008642702,0.8810729913123281,1.0101062655091777,1.3057890503200118,1.0129971166727747,1.2785562860952029,0.8489673753808509,1.4785817378027326,0.8190445571654965,0.8439542286241238,0.7915041913051565,0.7466547329920498,0.8053010995109654,0.7547752806766198,0.8355481988192598,0.6384110685935146,0.6462890245512368,0.6509611173303119,0.7210452926578005,0.7977326577273339,0.7366188931750508,0.8604728069536177,0.8518182231760374,1.052064487686339,0.934061855380184,0.9046026318925683,0.8402362242048629,0.9499631105733499,0.8500065212414184,0.7781970001561118,0.6940266364717687,0.8610167854729266,0.65743821208112,0.6922319803249354,0.6270344481109819,0.5864249718477035,0.6822615915961202,0.6734532947579382,0.7818046529488601,0.6038335751947824,0.5830503357595511,0.7985436069574212,0.6292971202115643,0.5126525828951645,0.5102165353785779,0.5574162911264204,0.6350775880932956,0.6237133935285022,0.6776398751807957,0.713652900275421,1.0264624722311475,0.7437060488013809,0.7767736442284815,0.6963713911023636,0.6771325643930287,0.5882364776716988,0.5622415670896629,0.5655092222161957,0.48015033036893884,0.4971610856278478,0.496256831289098,0.6010919874197713,0.5465927484629658,0.5995879352787636,0.5743617754278363,0.6296647782812691,0.5844218750547415,0.5759437565980388,0.7419239801542933,0.6073349895886223,0.6078754957691099,0.6115027735685815,0.7030565935389548,0.828662739110404,0.8173398624733965,0.7032344609960687,0.6816601116077469,0.6570185948813456,0.628688661327003,0.6454094695076454,0.5704105875131908,0.5868579112279583,0.5766305049194681,0.6135067620292836,0.8130239333988338,1.559641106690683,1.1525066217538662,0.7329648744608556,0.6113237904316439,0.6061345723319551,0.5970255663012396,0.5709784708311106,0.5942912254398975,0.603473704141888,0.6313897384102699,0.6414130463120057,0.685755905312768,0.7337809597622832,0.6546479969833132,0.7150500531143446,0.7339920667256599,0.6984145599543381,0.6558513303381586,0.5914295118799504,0.6143354445656566,0.5996624293925866,0.5724963547850777,0.6037334164562427,0.6533853359679458,0.7644147816294593,0.6091611458021016,0.6170655200973474,0.6051290612900907,0.5825300630940239,0.600462624754842,0.6438243372062697,0.6465153127983322,0.6858870213477797,0.7469204928156998,0.8283691688021241,1.0905739906236136,0.8732153912701591,0.9835539333369209,0.8679270224221036,0.7299989446163391,0.7027652705162694,0.631949216568261,0.674348647119526,0.6610304644267148,0.5352207602955512,0.526870532935893,0.6116520586020799,0.5296863131994031,0.581510892025776,0.535109537467697,0.5350737751788853,0.6093073610993219,0.6465351393191098,0.5603413385166981,0.6325452376231281,0.7142628365015207,0.6721959267787718,0.7286032632498319,0.7994162976691243,0.8647332569029132,0.7737488910825483,0.8685532736679061,0.8188645356342973,0.9635670563143297,0.8135481661902704,0.7343348232068404,0.7821563551259526,0.7531065811940009,1.060166254576264,0.97776649576916,1.3272929968458256,1.214221587200563,0.831920814370121,0.855751144353371,0.8411461615097131,0.6850564779224521,0.577946891502498,0.7132413232146001,0.6986422408346377,0.8991887942499044,0.6651862865950806,0.8231793770609279,0.8959372362167621,0.7887117934490442,1.0321082482643815,0.5887157574769895,0.6542316384435091,0.6591780448556662,0.7011975860657238,0.8120476664175602,0.9717782287439533,0.9554127333555603,0.7628264215558336,0.7655666640902781,1.0398526163913544,0.8887418556888707,0.7833150496130189,0.8831880097357158,0.9612372801733828,0.8111477774549288,0.8612869696457645,0.9939131578171175,1.0203913558550883,0.9415046275811676,0.9982083319469637,0.8589618211175878,0.8029028624832136,0.7545196649592414,0.7562530137428596,0.74611389983052,0.6975749819980626,0.748485264310169,0.7119003328637237,0.7370567050746423,0.6288847225865116,0.658397010813847,0.8670978101736715,0.7247230703946995,0.7019326556104526,0.7518446056555012,0.8956456399799319,0.8802991010848205,0.8072299692853463,1.0184486050387354,1.0506394675010995,1.2412922711490522,0.8189883705625483,0.6381495039101687,0.599736853978672,0.7061532773598062,0.6273817028917311,0.7368544676033998,0.7009471142979298,0.6202814053800162,0.5783602075548613,0.5103543201104151,0.5152843526341526,0.4935361903663327,0.8111639278594447,1.1400806624529427,1.250988218731708,0.9483200540086851,1.051508596542304,1.4836848971799517,1.2996042351366919,0.8554180772073627,1.6077674544209686,1.56648761413617,2.981576776120829,3.9717663539203123,3.553193284101152],[0.508231257449687,0.4260957416177121,0.4136204278456536,0.4222986236214531,0.4607973459589854,0.4135808690185702,0.3295745154456708,0.3797789870743846,0.37331133102190406,0.3318186497471964,0.38713527154785043,0.47543832892682375,0.36520752204153584,0.38054695094825325,0.47741185785292606,0.434299715814189,0.45371247502413325,0.46235042560354545,0.547671200234808,0.48578554031460186,0.4854208630499455,0.48704770869010544,0.7894690560802002,1.0931811484758984,0.6372437946180045,0.6019024182861064,0.4999644212886063,0.4151631308359579,0.4452301989410008,0.42131352200763,0.5080317690355822,0.47456786771145404,0.6135783121965592,0.5887809259669837,0.4723267496436726,0.46252034951849536,0.45341519400685343,0.42992025787484606,0.4067195337519137,0.40579139126452374,0.5357167664497584,0.578403043439019,0.500005616511257,0.7521370889645941,1.1054467876098704,1.432549371190343,1.6084292361445438,0.9939777389915639,0.8016535279317089,0.9479661071325995,0.7959074471703093,0.7193425668870622,0.6426641582617156,0.554442320987381,0.9192879625395854,0.5327438860447965,0.5644739219784685,0.6323208972696618,0.6598301116600468,0.9890519808598108,0.6065371518960966,0.5836507876307575,0.5590391462102592,0.7812335678250416,0.5962674141941006,0.4993193874113524,0.7702610952652814,0.5900650892794396,0.7144723437861352,0.6105190293956029,0.7750949228307321,1.1412614170170625,0.7750454122995057,1.0312553219069318,0.5850387107559423,1.2471871014706488,0.5398473641274171,0.5847052332114829,0.5139721583832816,0.5151229402053648,0.5644301944875998,0.5298145159072893,0.744249009200327,0.394128226847152,0.42113097782432135,0.406050254723515,0.4563258448262396,0.6123666522863236,0.46917294811221844,0.6129201256523834,0.5901233320742748,0.7777490571014872,0.6822734964594785,0.6536709575206776,0.5831084258040433,0.6923519977299863,0.6076742205241786,0.5610408813685932,0.5030260671289253,0.751395086581053,0.48844732563159193,0.6375096039617308,0.453171889266198,0.4656832647213174,0.5988508985527328,0.560429971320255,0.6834516847946963,0.5128333585202265,0.5362936244825289,0.743822791875361,0.5755495186498599,0.36724837660241594,0.34749007336090504,0.33858051211372037,0.352566281175225,0.34406080680486195,0.4090379709352445,0.4324562501092552,0.8095425307969203,0.5078464418622884,0.5252218849882784,0.4226408352751046,0.4087353453207876,0.3207069632630801,0.3129570524219208,0.38766223928850724,0.384568145926523,0.3707242240332864,0.3752235365546265,0.45478794510433723,0.4161406020769722,0.49942494096143203,0.4218546376970206,0.45024836602341983,0.4112611762904703,0.38793114579674115,0.5665892116821927,0.41367757397446775,0.3689289120814657,0.3677830294694874,0.46254290506602236,0.6178736797294959,0.5905552360998502,0.4267407693549533,0.406158595432997,0.40984709063150976,0.3497567846929038,0.3764309580699586,0.3303751851111234,0.37757198557350774,0.45559547543681894,0.480901723280524,0.7410518527659669,1.5243324049842615,1.052930593159086,0.5761363548382724,0.44505703393266294,0.4585445727890932,0.4042923923014253,0.4025864891815232,0.38563331876548784,0.3810740549695087,0.37149522460469914,0.3865207717621004,0.45266139240134584,0.5018216268497259,0.44850103942333486,0.5564420321932255,0.6095074599535263,0.5440166351152149,0.4629610017172701,0.3837195936446428,0.40774887042509866,0.39380794605932157,0.32998181347838373,0.4176826184164412,0.44193183435685235,0.6269502282168727,0.38744858075562305,0.42318963532974213,0.384841273788742,0.37578803777659026,0.3844199485426058,0.4452531581487578,0.41932398923808595,0.46872910246445565,0.5370536774660098,0.5776338414327424,0.9151012276415232,0.6559433553528023,0.7825880862074176,0.6087540332738889,0.5562914442951215,0.5447894704154842,0.4805998529054328,0.5663703275335916,0.5335206834375822,0.43477210373682995,0.4730778678398972,0.5530039149605003,0.5143378604836816,0.5761066604216245,0.5019693825467018,0.5502742998436785,0.6500286191843779,0.6695499647400526,0.598881009997096,0.6869127637554213,0.780243166010987,0.7211031339145777,0.7792386133039193,0.8686118203829288,0.9192620875275241,0.8178973664857229,0.9117688635143573,0.8461685877284816,1.0151882418038132,0.8508993121540085,0.7868722544791548,0.8523426626913391,0.824145559619487,1.1393680960076316,1.1057335921522164,1.3897633507263953,1.2192042281738469,0.861360233228902,0.8468056010102415,0.8367992458082735,0.7774894125051501,0.6366531384764733,0.767923612517678,0.7620270889364497,0.9717580528127742,0.6893275895001004,0.7375599121091613,0.9332830841575238,0.8008047329561327,0.9492966881922635,0.5925085498453705,0.5886762568035766,0.6305145005465941,0.7158022645277156,0.8024341589897896,1.0423955971291243,0.94696552125606,0.7751767499660713,0.7994104819391501,1.04102445939967,0.8808130935146286,0.8103671041577458,0.9088823606599185,0.9792866579317283,0.852182714667707,0.9289846973814531,1.0507494716868664,1.0696315338739557,1.0154815368979766,1.0848403751487343,0.9554463505236057,0.8923712943583535,0.8289760239786513,0.830792697168159,0.8361743447461725,0.7705415403507098,0.8086209574966039,0.7844448638373573,0.7963669103282774,0.6908076156472494,0.7381003958035072,0.9080979271100973,0.7742731281999762,0.7863785349491396,0.8131538421849315,0.9132488572126023,0.8940327846643192,0.8219668985534101,0.9981281090620235,1.0352692765966534,1.3347216024942492,0.8254085147708896,0.6614995061496856,0.6175986886866998,0.7278592607062143,0.6722888058404767,0.7525831139958213,0.7308106275119196,0.6242656965236947,0.5365903299166365,0.4472600314845138,0.4240415089391815,0.4688673818484024,0.777453294661083,1.10793401841291,1.1360539338431703,0.8870313467018708,1.0404867518650835,1.345082748876118,1.1355186188185225,0.8019068697280666,1.529453761343635,1.3311312748138369,2.657895476215763,3.661441860689976,3.3090077405115648],[0.4224774017326533,0.43087829864915866,0.4024595936740308,0.4059467365879747,0.46754405983661174,0.3868723451204189,0.31818691545258276,0.36514704660212766,0.3886506338634674,0.3842516913536372,0.4271595628405456,0.5245565037671945,0.42145580520622905,0.4369493578725524,0.5200163752794098,0.4900858433636774,0.5142665874720421,0.5231279334930039,0.6199690494027396,0.5542388937783218,0.5988747437549728,0.6071227697720495,0.8777638498124284,1.202118862072686,0.7405728478379193,0.7084921489747744,0.5647546523908464,0.4887855057493597,0.514211319269878,0.46441422670518556,0.5703972348439271,0.5013798285744521,0.6387282979782954,0.6149161601424911,0.5123594391798845,0.5130135673412146,0.4713073249349379,0.4932658931411678,0.46504976340044657,0.4820657169708585,0.6023491722459471,0.6562310964770711,0.5909906417633574,0.8527610342851303,1.2093002707427747,1.5000220489645062,1.7094829375839105,1.0876244472825936,0.8909833959991251,1.0493089497743187,0.9083983522203286,0.8222495044355781,0.7337039814856984,0.6174612850865548,0.8952047398653447,0.5727920534383041,0.587165975087754,0.741705969647955,0.7447194569051382,1.0360263057215942,0.6775564682442957,0.6067331263326995,0.5907634023822139,0.8064561024888816,0.6593681480812035,0.5729547136577521,0.8007546933825399,0.624318744466707,0.7907312486718708,0.6696330234372104,0.8099001457613043,1.1423244924029612,0.8315233536394855,1.0949344563741341,0.6694299261369947,1.2835408168665519,0.5896261380970553,0.63669988354798,0.5653424146143572,0.5779991999292293,0.5753100486184735,0.5287149504946409,0.7254958536611378,0.42478415909730505,0.461982384462624,0.43794809006338836,0.5030962635390352,0.6317820061258393,0.53047426239137,0.642434195528473,0.6578027283079375,0.8816907783952461,0.7484466564500722,0.6926332153021302,0.6163898227379937,0.750816304792836,0.6492342513764403,0.5965316404046421,0.5229598612083041,0.7559812789151995,0.4889821430168601,0.6003029337973212,0.4452027673126963,0.4509664604581049,0.5971974804121886,0.5620788812259557,0.7072910018337586,0.5351575686765296,0.5615863512350231,0.7780764112824596,0.6203502185935885,0.38545265222183944,0.35384698826168515,0.3828720917611701,0.42695254363850027,0.42242500271761757,0.4885274302614131,0.5285571576326826,0.8316630752058926,0.5580848961131273,0.5746500563146356,0.481096558758658,0.49233556200261186,0.4015210754327409,0.3909861128785876,0.41795454584104835,0.3997478464606282,0.38526503739867923,0.42948687660244345,0.49111612720171277,0.4934393845977278,0.5592995708919363,0.49822367502133186,0.5144088925781551,0.46871700356078133,0.4360234780528536,0.6542940095060896,0.49703586918829606,0.44625510708734956,0.43278386707132893,0.5674457375231287,0.7280525552986354,0.6559729594480975,0.5117805138336746,0.4762478684052139,0.45517127371899624,0.40872066960251535,0.41158283362619746,0.3672400703985289,0.39527605786475584,0.448462697027311,0.4733544239564956,0.7175555124133771,1.5090377266104458,1.073394300341922,0.5583959244851442,0.4407829164265999,0.43746156169683864,0.4079387032679171,0.4024112784628362,0.4048683118104021,0.4100617123397881,0.4432497094487843,0.4580773567917471,0.5245721863314892,0.5452263174784996,0.5235680057684629,0.6342196003979816,0.6950140136439728,0.6237521009910099,0.5598815259244305,0.45287781603853394,0.4646862735650408,0.43444245216221694,0.37389234154681855,0.43552573907795245,0.4711482715348571,0.6211591145701106,0.4147953218097559,0.42715249270697414,0.435019830386284,0.42626705127036113,0.4506833604959415,0.521406886584936,0.5017096596338552,0.5425857717471301,0.6388346374655143,0.6589812555569615,0.9973211139265664,0.756146849303566,0.8804860613990853,0.665042599334691,0.6252569021832635,0.6276198464778614,0.5733617191253668,0.6637194839770553,0.6086511189363821,0.5184447593389617,0.5550707185082144,0.6199612518388204,0.5819988625876863,0.6179951352771229,0.5607526792596901,0.6160023406250396,0.705475453142524,0.7280864532286117,0.6717256130982568,0.7613500368600923,0.8474898783897354,0.8004166620047667,0.8567801377139781,0.9533719722845239,1.002812513442733,0.8968463610012518,0.9914960617091476,0.8910487017836175,1.1193003330855729,0.910538276179848,0.867044084797339,0.9342867309163517,0.8968937312615227,1.118502549303772,1.1925225389120742,1.4071759177101753,1.2784932780587888,0.8869313371702789,0.8293652529905162,0.8070936266771827,0.8252825615117456,0.6907211526159094,0.8179408681752397,0.8351867348077934,1.0409071346276964,0.7636961593727944,0.8036619339292612,1.0091525166889002,0.8769927948969379,1.0230988508896983,0.6488859390029857,0.6336693711273995,0.6618533880245249,0.7407065453186955,0.818612001892862,1.0229084074750838,0.9438523079486123,0.7897482101405465,0.8088657247438111,1.0312796318972037,0.8953674499467656,0.8286486928938672,0.9145459588420991,0.9857521335985469,0.8762432554784436,0.9589086596795807,1.0746051320454035,1.1171564569656123,1.0715811995856959,1.140703041168714,1.020278108818551,0.9450279237183107,0.8671805553860124,0.8800569312103538,0.891171565806783,0.8407655277156262,0.8644207179555146,0.8620867511807531,0.8787729536913895,0.7677055770251234,0.8089105615122308,0.9741574164726224,0.835476080216788,0.8555784101720274,0.8743294078896394,0.9589838588052566,0.9447782023885768,0.8720624690395198,1.097013040160845,1.0982765741679887,1.3559571499029834,0.8617993131454034,0.7149449347531499,0.6954968612359667,0.7478322779080396,0.7226176596441756,0.7999745043385323,0.7732620836039484,0.6946405526806324,0.6046964430532948,0.5365077449510746,0.5153090158390848,0.5015124707980682,0.8278830920189204,1.1097831303015648,1.1467298814860942,0.9468482438430512,1.038351876474305,1.3148217666490316,1.1877748421677512,0.8454120547320134,1.496976072693031,1.2704789826744582,2.5424786785214737,3.4152218828649015,3.1128272247102737],[0.3981626518461077,0.41886889839088554,0.4421765923081295,0.40694216847187803,0.436252548749356,0.40964761080702816,0.2983281165314926,0.3842247248501653,0.35111293492092305,0.285654128489458,0.34260925436995143,0.4836565209408285,0.31121235310901935,0.33824798154555924,0.4342377918305643,0.38631652225962304,0.39297294844282527,0.41645617199969637,0.48394883029613756,0.4155844197572486,0.4594321918000115,0.4893750196823116,0.6963086994632608,1.0265602068200645,0.6283557359296793,0.5681831127602065,0.4407829306142516,0.3432714600741106,0.3762128311263575,0.3864407316900003,0.4375747827009752,0.431680690634197,0.5354755274858249,0.5354261590511339,0.41537325713061296,0.40322063212244885,0.4137146352377343,0.3711070534947238,0.3476734845973828,0.36763594105825187,0.4784331295026883,0.5142995291023548,0.4507129971517716,0.7231467860294573,1.0715978491988187,1.3971112063194848,1.559142955641515,0.9441785356443484,0.7461582633984524,0.8904839548716412,0.7487346047205575,0.6708698026514641,0.5820162345064559,0.5038745480287765,0.8653239879575615,0.47749718603328795,0.530175256702667,0.6159978456437127,0.6491088418416305,1.0032435984328365,0.5977196458761389,0.5102562569745923,0.4995015576270069,0.663485485493974,0.5174960676758257,0.4609350588233506,0.7124129978249637,0.5020309221440304,0.6442753755303471,0.5571716263404354,0.7144196004312824,1.0550127650569523,0.7175787431371813,0.9372708640185065,0.5208291872606771,1.1468442589775054,0.4701563956098904,0.4937160397436506,0.4363174254616523,0.46040664614307963,0.4884966174915931,0.4590340427191985,0.7229424264929373,0.3725985898219234,0.38533074293194397,0.3412740594199351,0.3776394214366376,0.5905587031619162,0.39858399339563955,0.5617226372162374,0.5100860960048512,0.6935285129667332,0.5917357132200106,0.5700348340575612,0.5161051938604171,0.6316885855282556,0.5690156689050779,0.5227979106455949,0.4711518181061546,0.7239727123536246,0.4589159259863628,0.6427439753355398,0.445024842062407,0.5008470076231082,0.6424968536746958,0.5675860901092098,0.7081978942516874,0.5641515980347593,0.591477971059316,0.7627396988830684,0.6226714350350842,0.3653896803933541,0.3067856956303261,0.3310611602990702,0.3318536881246106,0.3165427836515144,0.36975906585453966,0.37686758637136436,0.6712363778637989,0.4136308513659637,0.4239458377089284,0.3506285412177079,0.33907729838938927,0.28058389266611067,0.29821320001013457,0.378658024870914,0.39179535968445,0.3817985582744708,0.41837856661088335,0.4623289330257273,0.4552503201003583,0.5393092489993516,0.4547961906340928,0.4736668677358945,0.4195448556282514,0.39154210705957165,0.5771433548302763,0.42923358836082653,0.36358344380362023,0.3233621160711207,0.4432073582768586,0.6188677735475195,0.5473661054488332,0.3681542584168402,0.35111730531180513,0.3318897236020935,0.291756244451884,0.33013213566782534,0.3215232285213479,0.3721073505964848,0.4685327362591813,0.4979763885224402,0.7911678814653988,1.4887051428982763,1.0358932562308845,0.5796394699174896,0.44696036757587343,0.45736167099870234,0.3984384277525764,0.40218492847892673,0.3467867705689836,0.35339544238842274,0.3301337885587576,0.33659579961266284,0.40421480766603185,0.48907105343961016,0.44678978883314924,0.5900985317910831,0.6678033871784372,0.5753094083675229,0.4596468453354097,0.38239565309435275,0.37467730962630524,0.37761177493162823,0.3135866450234185,0.41704653567180605,0.4160354349753778,0.6138333785974867,0.36440678163778045,0.41039907008701504,0.36692711486368956,0.4115836529136717,0.4258133534328145,0.47513156487813274,0.41024805239997975,0.4580175404933261,0.5253512975207612,0.5436248083219438,0.8529496728904671,0.6272012181125154,0.7287604992609135,0.519983243840048,0.5375553431711085,0.5679993410234657,0.5348325984972324,0.6324807941359097,0.5593942716386769,0.4957435347532705,0.546013074576776,0.6015283457522413,0.6040043650169119,0.6352090716572298,0.5667681048136719,0.6472258317319453,0.7348924848755537,0.7398558208722993,0.679651417010091,0.7895581295853833,0.8744155525841758,0.8075909393055607,0.8775172357050506,0.9755289915419522,0.9994481705937078,0.8910992983007431,1.0089543079155359,0.9240595415518945,1.1521872680977971,0.9659644173602154,0.909798117144416,0.9764050277310097,0.9537895549489599,1.16473146116005,1.2740045972947733,1.4382461900190482,1.2541354453878855,0.8969756777994268,0.8460271335236247,0.8278120778299339,0.8754810536693272,0.7518832696990835,0.8705575283160409,0.8863385669482657,1.1162802458758418,0.836451351600196,0.8053596707858114,1.0377574383063877,0.8735254326941146,0.9554549634703964,0.6848121490867687,0.6269782071582695,0.6518190089208457,0.7355735827013873,0.7930579115974747,1.0784888692062644,0.9138512284700099,0.7868656634968126,0.8238105013312553,1.024888010126385,0.8867799325568123,0.8313432767225265,0.9224015972420577,0.9875009494638889,0.882840979530984,0.981534535436294,1.095726289725561,1.1383429198851656,1.0871164650246616,1.1643230235306508,1.051954176867696,0.9874791305354224,0.9010419321915397,0.9180944108807587,0.9491799192732682,0.8852912296834079,0.924245492754598,0.9136042565291235,0.918151804419605,0.8098014915726218,0.8824628847170515,1.0297758404877835,0.8655716817367364,0.8776517468303268,0.9212275877440558,1.0040750626370942,0.9674010151071016,0.9047851141215533,1.091915023234143,1.0712628049609942,1.424796895227325,0.8868282060507667,0.7423100669591932,0.7124520318032339,0.7644975219388737,0.7452109295119684,0.8110556738767564,0.8005921448675782,0.7000799397172394,0.5658690810704616,0.5097689781357169,0.4534288383003448,0.47866664593282815,0.8060570678409305,1.0515133163880745,1.0134479129229068,0.8847638702808575,0.9768355708505515,1.1309110941856015,1.0092768742591651,0.7422645544196046,1.3198234218037939,1.0292603921734338,2.1374808180605434,2.9436826361409025,2.8553468469629135],[0.3397672704978545,0.3702312360997095,0.34645135297690316,0.3213990815318351,0.39105066819484896,0.3403077080666924,0.26814441106732473,0.31378310464948556,0.34473970384675906,0.27249351464462124,0.32958527801707854,0.42446394379379127,0.2997836672114495,0.3350044988712308,0.42681649999511473,0.37226653241711966,0.39917130835472053,0.4226977840072918,0.523542844507699,0.43980729578384753,0.4628958064942021,0.49672351472613696,0.7401809660190134,1.0360746024445404,0.6461513918909112,0.5761907628544315,0.46465227362260114,0.36431873468652565,0.38778319007505185,0.3675798569797333,0.41481192209226136,0.38768664691276616,0.478404868182313,0.4808841272737279,0.3759264755942224,0.39568492079848216,0.38251586234561535,0.3988971527876185,0.38501742749845297,0.4190955866531423,0.5369125113155985,0.5516985027444252,0.497887007109358,0.7677277043895743,1.1220640827177788,1.43149721377498,1.6344558114159093,0.997357122239804,0.8077646448181997,0.9784767698303188,0.8331793981823585,0.748453537658747,0.6623930354442361,0.5615114968204035,0.8736632857358447,0.5172546733276843,0.5682887319499781,0.6506980635663182,0.657020658750061,1.0766783751246454,0.6113939679408845,0.5179158912389255,0.4902690369840995,0.6671710300433765,0.5352801828221543,0.444088571368481,0.7040227263214226,0.49610070598227507,0.6381702910914815,0.5659791374434687,0.6890396528857199,0.9845360280153965,0.7052724180060199,0.9410995929457585,0.5226542501162363,1.1529846496179714,0.4588965794447132,0.4758194807915453,0.41358403200535143,0.4536363714605998,0.4610626450843278,0.4749055876556053,0.6459447360343026,0.3438702990178565,0.4071541324765801,0.35915982565439675,0.4092312915218475,0.5772688425113367,0.40943721105506176,0.52643669815507,0.5024202395473805,0.7205235952464295,0.6033059843467662,0.5244898852220862,0.4750100474105583,0.5926873084470659,0.5207327113589528,0.4743780518415648,0.40438505937178126,0.6304803854770631,0.40638457046686904,0.5970034782025543,0.3691222170971863,0.4166058463424199,0.5841609991122404,0.5050773857700663,0.6342705686921186,0.5016484073370012,0.535167969169975,0.7249450782542167,0.6055167584752774,0.3615959409052866,0.3086325441512194,0.3254606564283031,0.3390746996521453,0.3278478308260919,0.3846114835912817,0.4288925371219857,0.725467856355183,0.4057213887490805,0.4433284508905582,0.34428107874209585,0.3709995335403519,0.29273301738415425,0.30104201196402763,0.3725112528510485,0.36774509298810226,0.36276025933688055,0.3908257051694933,0.4472119744782685,0.4434333621161111,0.5119297013707899,0.4544264556890715,0.44684403780944865,0.40936835596527654,0.3877900901150896,0.5789032202955968,0.44393828986863293,0.36286272652733353,0.3383419992166512,0.4650210703712186,0.6166824526532859,0.5828850875200239,0.41333586093590585,0.4019665771352011,0.36883063714251885,0.32091876339836933,0.3215921337054896,0.31268088007458494,0.3505686263945177,0.42053117332539114,0.4237749904647579,0.6455383840564045,1.4090047109297812,0.9717804046703297,0.4634576210412545,0.37277908208941835,0.39031375365208193,0.3325464066839705,0.3658201036604901,0.36119727095132764,0.3665327212913621,0.370335393565194,0.383947304075095,0.44062238047313934,0.48658479452364495,0.4515101819319164,0.5955356740308246,0.6649675190221122,0.5758055529896591,0.47913695532876216,0.4093294696214206,0.4112909125743209,0.39471056539469224,0.321965978223013,0.3777903770880773,0.405484288777608,0.5572070088822564,0.3494306859072367,0.3782318216734855,0.3964268896413112,0.39271197350416764,0.4158191000170882,0.4896176089772596,0.4515714892978014,0.5208663974439325,0.5961435545997407,0.616794267806285,0.9198127816346572,0.7013446952152739,0.7929280208780489,0.5577195704296772,0.5643788124371897,0.5924432929026902,0.5554817891189117,0.6572305330609219,0.586154465862529,0.4697813023963871,0.4923573119379737,0.5654927282203345,0.5035263296354616,0.5413586306997369,0.49243702374772064,0.5386824159945158,0.6177846586279127,0.6576571118322421,0.5791381083997063,0.6740761265270345,0.7553083521460643,0.7291571432820321,0.7803903791196036,0.8714709284641166,0.9354417806066474,0.8360568950948054,0.9329155648607995,0.8358662211743244,1.042297249246697,0.831452816039322,0.7931478129286644,0.8382549533733109,0.8068727853568873,1.0323518313655102,1.0677302423715085,1.3018925574195293,1.2314049838846923,0.8128170834134745,0.7990736424384667,0.7442866990381384,0.7673423979343214,0.5936058409123676,0.7470692924668597,0.7726256158981627,0.9698624013243214,0.705214646339752,0.7498664811810207,0.9664861099861487,0.8155463857094768,0.9566206064863838,0.5885541087973373,0.6076916292101323,0.6022457859061106,0.6632296925409367,0.7524588171975871,0.9419630786358426,0.8699919720406172,0.7347282990330456,0.7277258698615718,0.9220982280231468,0.8241917071902035,0.7471953121722689,0.8294022160886001,0.910294732792843,0.7917389695557029,0.850727327235818,0.9800852972223713,1.0668693417290878,0.9659897077537525,1.0222360377564175,0.9089475526778888,0.836405355616302,0.7673842191925181,0.7873314589848587,0.7990421970679917,0.743607172182238,0.7620157483125676,0.7711938014180101,0.7930750313732782,0.676387313484987,0.7290817116781667,0.9229397491952808,0.7604218286314209,0.7783941908668616,0.7994352236254565,0.9196622211738861,0.8770444529285562,0.808573975760057,1.02576073589967,1.0435482881593776,1.2756469678670137,0.8121756289007644,0.6432909575943193,0.6242204154808548,0.6744372983987096,0.6326176015484348,0.729292750835234,0.7010237745406216,0.5910425355688802,0.5214309617507544,0.46970458888583827,0.44409682270757556,0.43003101848354613,0.7685847295467853,0.9903237585310094,1.028364884986881,0.9259858661876992,0.9055649917817292,1.1902784906300734,1.191931709775697,0.7876683540556734,1.361632971850268,1.111718176212699,2.25332577695005,2.8363322910518822,2.697481397188565],[0.3847075623622073,0.45282224357315565,0.4400363186806845,0.372798435399225,0.4401241593094555,0.384918453937911,0.29476111609242145,0.34839973406730423,0.3758854747424441,0.29575390778893124,0.337345408368287,0.457415525570224,0.31743453062875615,0.3338744719349711,0.4233216314965068,0.3661293277641746,0.3941965407862817,0.41247460437402045,0.5381638375280053,0.4480436671189806,0.4893602270349505,0.5338370117705802,0.7378467444375981,1.0638586927087275,0.6705566746226362,0.6014077258341293,0.47492246372993463,0.36543136897167494,0.3905558275182761,0.3646199882697686,0.4087845306330768,0.38367558154517545,0.4674793047500467,0.4689027406948606,0.36636803003050283,0.39280862208874245,0.38211352112019875,0.39403263430314533,0.37310899805170267,0.418060009754107,0.5537544145355106,0.5718200455342601,0.5263223505866991,0.7944439412056147,1.1524803436302122,1.4362555540074136,1.6355989721335853,1.0184998875862286,0.8066444436654647,0.9686575708865297,0.8306483020035329,0.7563568561491779,0.6588222893983123,0.567222808577961,0.879066032576989,0.5123625689327852,0.5439566000655315,0.6798779213808256,0.6797427394526676,1.0778363017545582,0.6129430158938353,0.5156442268000981,0.47887764594955345,0.6664838780371193,0.5446639186174966,0.4508194071530692,0.6995864614132788,0.5030263811379284,0.6487056039074888,0.5763495464221956,0.6941995168313848,0.9854188266053566,0.7211675942733891,0.9501552029192029,0.526352022459645,1.1759179771192336,0.4559076590107864,0.4834162797110773,0.40779442034437924,0.45480142304736393,0.4580430068011509,0.45613136232089424,0.6690451602803258,0.3701608702133829,0.41080411069563755,0.35561703370998043,0.3957134007379295,0.5685765073573724,0.4074790996812333,0.5218137295692972,0.49316125513501313,0.7207513632764504,0.5957012281355644,0.5114157537657251,0.4650897585110089,0.5849865921497924,0.5129037646054336,0.4783581647967584,0.4110755004671478,0.6530225750563021,0.41372494622754435,0.6225162164789678,0.3984894476519329,0.46498087700072865,0.6572017625798897,0.5449741432291242,0.7022381143522186,0.5620168089891252,0.5811172352967917,0.7621188123109988,0.6614595977665744,0.3973033582724911,0.3161440164219449,0.3471012977587917,0.3397692152626112,0.34326668427893564,0.3958264121816251,0.4548998423357341,0.7257294921198154,0.394906378474419,0.42822197267760936,0.3367595801053606,0.3594308573320399,0.2875881743954156,0.30253625176504695,0.39355370708502935,0.401590408426698,0.3882040832066271,0.4378059153422209,0.4865528321051776,0.4950273919920243,0.569874548988644,0.520479785831878,0.5000911220687679,0.46251797090510977,0.4348104822001573,0.6042672796000289,0.48607689266364484,0.38104500701993615,0.3434833973842467,0.4801333138768981,0.6681140325547211,0.6045273558542785,0.42253219008522114,0.41014831538199986,0.3605358872673609,0.32174702617946804,0.32357463141923043,0.3243423889637941,0.3672691260903697,0.4552251501353004,0.4485533757183803,0.6892530615828043,1.4121657096366331,0.9622431142484904,0.4894339030704101,0.4011221710525986,0.41315088739786543,0.35839269530889567,0.392997981693664,0.37773065506852765,0.36833325386100924,0.3763949770437201,0.38470264752347005,0.44087491458044387,0.517942809496665,0.5001324386022263,0.6454988373306942,0.7214532315432893,0.6198587703423164,0.5139456675606541,0.43644390439645925,0.4274164600339282,0.40755612411171893,0.3457884088079556,0.4017862518555849,0.41518014374256695,0.582898833175619,0.370485832312568,0.3912443487842317,0.420699395558667,0.43695185979155726,0.47252759137513733,0.5371155122627111,0.4718567570164521,0.5198802795481575,0.5988615661029145,0.6286992654357786,0.9108200454939543,0.6992821413677718,0.8003171458968362,0.56571002138936,0.6051623776766188,0.6563870782070725,0.6203905547984787,0.7196162955451658,0.6095596678528887,0.5174297785435039,0.5570245337035974,0.6209905078248075,0.6155999405952665,0.6404789143098044,0.5814580707602013,0.6587848162823059,0.7306903328559617,0.7472344819717913,0.6888059818689503,0.804022291137606,0.8732187852770299,0.8200210212470405,0.8900710616363617,1.0054027310326292,1.0082294708236224,0.9131145154680327,1.0554999809678594,0.9435739945760186,1.2015940334939736,0.9904985520263389,0.9466895345019152,1.016651982155564,0.9896545660341304,1.202143618572274,1.3003457402628942,1.3672480916582233,1.2752367882757203,0.8934655615773208,0.8262809631014295,0.7913473517876668,0.940058141105144,0.7584306850550528,0.8889961432027916,0.9266212618219979,1.1414607293293275,0.8557380289952272,0.7872631568988706,1.1155435849020954,0.9215305251840725,0.983160815945711,0.6875060835692333,0.629988545131602,0.6414225961754354,0.723703632039217,0.7891810938585427,1.0346191449599331,0.8758415640552623,0.7699006048361687,0.8239808499574262,0.952257115972789,0.8676119315658911,0.8114337685033963,0.8909055730285838,0.9532618831835157,0.856597992044368,0.963036444638503,1.0721241192238302,1.144352411336097,1.0819990111663518,1.1627670709507558,1.060461241516428,0.9883661687089199,0.8953796804399309,0.925247740784882,0.9742656889798709,0.8958160622817114,0.9116287493799103,0.9538285782117564,0.9628482705962432,0.8277920525940055,0.9155961239654035,1.1047617474745088,0.8983467004477034,0.8960594362841027,0.9438993833756208,1.0499222396044237,1.0008313132853917,0.9301766830237912,1.1485535865025216,1.1096268147816868,1.4598201162599314,0.8901846781243042,0.7490798062113606,0.7339355517563987,0.7200912680977773,0.7207598254092729,0.7952868442997134,0.7689338100468854,0.6931881612490768,0.579913471581956,0.536175698076211,0.5107859483078037,0.5089709993348996,0.7962366381079337,0.960002005883616,0.9557769255473156,0.9024479339495698,0.8649315388654241,1.0259152979821577,1.0318858300583378,0.7216523121102562,1.2117272956230534,0.8925510339306392,1.8641383174622908,2.491090156445646,2.7067634897864883],[0.3691694203079316,0.4502884329725109,0.5016588387410051,0.3946948479028851,0.45999025129742244,0.41269995120108227,0.317883609312753,0.3639504138661218,0.3839994177883552,0.3214269312913417,0.3708695013197879,0.5081495822328901,0.3433776885800649,0.3528990937056041,0.4347662302215272,0.39720830546358843,0.4166338718567334,0.42272602930158354,0.5294696521252321,0.4301205980014821,0.4782541137301462,0.5033504166863276,0.731702632194273,1.0399638357844612,0.6479452676050695,0.5774343447058967,0.4378686536351659,0.3564688041982018,0.4064747507224736,0.3893718048054766,0.44423644787091404,0.4315403068372934,0.49606689190931413,0.5111968907032093,0.3934681040491713,0.3978960880116977,0.3990123827692497,0.3862969931602693,0.3659808218340304,0.4011412413845017,0.5304804245586663,0.5418233694879523,0.4851487435060419,0.7774046840991581,1.153394720187468,1.4568158369272297,1.6378468644122492,1.0028428598259351,0.7969271005866176,0.9621516910683422,0.807071318789163,0.7207951597462317,0.6325341255922355,0.5283106906148473,0.8912041777786806,0.4769709090653982,0.5282745387243845,0.6588566385065172,0.6565907945592507,1.0662061530459233,0.5894045910045483,0.5110672006909264,0.4758648224722122,0.6588733674977235,0.5307215105238504,0.440393235823743,0.6908707098375108,0.5141899902053831,0.6670363659271417,0.5821844401691411,0.7268564263958966,1.0060529635105833,0.7358829911231732,0.9585149573934032,0.5468884421971268,1.1272256733150479,0.46295476703639843,0.480694163628719,0.4093138448184603,0.41548275677320307,0.4888247721574383,0.4545109173500634,0.6754808354866566,0.40321013121777993,0.4192701860068692,0.35495901008664926,0.3712786149181309,0.5663476014432246,0.3934249683577017,0.5323101306552641,0.5171749669782675,0.6945870607195193,0.6004191500822527,0.5574567080010867,0.510948657115721,0.620573677517873,0.5808229911423933,0.519955695734567,0.4793271917374059,0.7125653856910634,0.45021643818184504,0.6392678933026555,0.4310878432561693,0.46489303215225475,0.6427667626725729,0.5143734825237689,0.6711791039674553,0.6039208878336113,0.6106812132853938,0.7152691576441141,0.6420994858159155,0.3921315540317243,0.3220146056222752,0.3542256484377384,0.3555382673437578,0.34757919113018654,0.38634344939031884,0.4507580621774461,0.7201041282154903,0.4194509081222586,0.44681556432613195,0.3656459269457691,0.36932287798836516,0.30004647836952325,0.31173248211352234,0.41692642855069845,0.3896253422562645,0.40355644415706193,0.4583904277665917,0.48474487579347253,0.5014000211262866,0.5651343542838471,0.5288173938379848,0.5166510098459803,0.47177808738156285,0.43680499933565864,0.6093653398972904,0.48595361158790457,0.39884326394174524,0.36258879114962117,0.47079788308006776,0.6699341753094896,0.6064877587202021,0.42790457621176975,0.4106269468455965,0.3625389052304239,0.33159359107264724,0.3464667528605245,0.3285040162998797,0.3666896430290449,0.47744992074604853,0.4931621551529618,0.7588952201692938,1.4159984539972548,0.9824647246996324,0.5484824079599153,0.4468668779989217,0.4571594873374557,0.3749543047444621,0.4048932172434611,0.37676021278395166,0.3516057705238937,0.3732860746534431,0.38381979073960226,0.4474809400409157,0.5527207795802536,0.5312192371920258,0.6705890238567005,0.7415247461276928,0.6567214351680104,0.5344989546413516,0.44424336625124133,0.422547049118831,0.4200883838684148,0.3448187416675837,0.40257301962027464,0.41698786520493974,0.5799504753605548,0.3867339384340417,0.4181224616678602,0.4285743978743154,0.4457840822550666,0.4836555144720333,0.5508166205175824,0.4798632877577055,0.505742272887303,0.6061653920994636,0.6006356654133181,0.933252215269199,0.6806637689337485,0.7885599401469079,0.5753434387018858,0.6016865364525242,0.6406405818393529,0.6196777065071779,0.7273493837313498,0.6126356273735498,0.546857650064274,0.5950963661318435,0.6062483725605644,0.6333329769342139,0.6463578319177913,0.5728513741885937,0.6664931808534906,0.743771802607063,0.7224055322338668,0.7001620166055347,0.8284226870420255,0.868833198383283,0.7895144528458501,0.8877922717930378,1.0191532301214061,0.9870972383783758,0.8981947677334156,1.0784808665931356,0.9819116064537087,1.2384299588269985,1.0826253611884362,1.009390087863551,1.0884674072241438,1.0714174053283554,1.2992763419320252,1.416644352867577,1.389545993172618,1.3020369562647882,0.982157955918294,0.8893398223428596,0.8553498133997688,1.0515626051297235,0.8385975621514066,0.9312554881491478,1.0069604934332652,1.2366995275090698,0.9204277251398264,0.8492041074398354,1.2214101471580607,1.0009929182613952,1.010663051748635,0.7390095707599582,0.6621281448735283,0.6581541755955875,0.7104129128479111,0.7302385273895058,1.0429019045023338,0.8200242531314229,0.7476280007459613,0.8105826695271515,0.9296964586376092,0.8279720249503026,0.7808975782778829,0.8732364005118921,0.9225819353185049,0.8252067217327677,0.9881314656625987,1.0926369039784514,1.1525309609822345,1.1077438992249473,1.2199223786463278,1.1020451715600579,1.0386878472733656,0.9141425761099243,0.9520166667488813,1.0331883122868717,0.9323191487680622,0.9407296000706048,1.0243619757670503,1.0244278494272008,0.8857570190624147,1.0050512733472057,1.198685173189216,0.9827712541379131,0.9827010046072936,1.029088242543412,1.1675784755458742,1.1083077660736884,1.0341833096110027,1.2647921291669544,1.2280507394540054,1.6019601094946156,0.9752111427193082,0.8150711093156853,0.7776121887003102,0.8090684291396729,0.8164110694305589,0.9015304165020399,0.8539271668203448,0.7626589063042936,0.6014674006449813,0.5435823248254791,0.4888263313964392,0.5087756243699421,0.7279375082317668,0.8512165790781417,0.8274809343745455,0.7945785123548712,0.751421359945946,0.8226318273283232,0.8699135276110445,0.554085153520135,0.9926173698391323,0.7213878779750124,1.665223188529323,2.3866845505726695,2.7896207335852434],[0.34815834977980403,0.45264019419133317,0.48499865849403306,0.4039233992737595,0.45593148963761015,0.43236035732655714,0.3433350440103301,0.39963037525663203,0.41749097537547303,0.3830244543352695,0.43669173907689257,0.5628526248890137,0.4019765645736192,0.42300158321816195,0.5031028950212533,0.4612291345513177,0.47865277731009936,0.49501204125310877,0.5663609830095395,0.4608341278492426,0.5040336317873922,0.5179572058839264,0.7200860829432375,0.9889968514722883,0.6526304865031124,0.5909391505480177,0.4689875359484441,0.4131892406529779,0.4709175305934021,0.45023922664242705,0.5104837171173651,0.4936994485109368,0.554941996819507,0.5635780746640032,0.4617278777131639,0.45661858907407005,0.46514963156972444,0.4423575029099365,0.4299108383610515,0.4322543532158599,0.5484621363524974,0.5799408779819765,0.510630613448304,0.7784795610413225,1.1461773689843906,1.4654813507434201,1.5992374919386823,0.9853841155542309,0.7921387751371136,0.9208119939505498,0.7957928530520435,0.700518866368902,0.6323529911826847,0.5445448565006918,0.9257189320686882,0.49034547506736104,0.5486293033566487,0.648789471872563,0.6561776938063644,1.0264213581725123,0.6100072795444005,0.548922720727444,0.523000841817172,0.6671746367576032,0.5360912992978905,0.4831133467703692,0.7250262278612883,0.5676952744064244,0.7204796871245873,0.6140091152800446,0.7984767062447149,1.077852293009176,0.7815543704491521,0.9650567895940728,0.5879485184924277,1.0888789488169075,0.5218590040846584,0.5294952873875275,0.469769905609337,0.45746446647599837,0.5458761972766475,0.47824489791931196,0.7072040177433941,0.45248481599607915,0.44549297120031417,0.4050942657183077,0.42950664152257245,0.6302903966119525,0.4375181325548487,0.5785309231014292,0.5826508935728983,0.7110740173482446,0.6321527209341917,0.6096527148016527,0.5677480934439372,0.6604032556027747,0.6345076457976186,0.568983789355257,0.5289778661174576,0.7376317129725449,0.5047128412728308,0.6645628988020217,0.4691764947515855,0.4889790965041353,0.6576288411063145,0.5576978758505162,0.7203603187742178,0.6294863068811604,0.6429284623328068,0.7739355524351386,0.6807549405123657,0.43158283294143024,0.3619791717469045,0.38516160296596796,0.3998703261913994,0.39832285463403383,0.44046561899730735,0.474006461750827,0.7454838847181301,0.48893496729216956,0.5081331684576385,0.43263593598498074,0.41546030475423446,0.3510993259441178,0.35476094147098225,0.4694916784836858,0.43039744639050675,0.4526951910509901,0.4835679311301,0.5228731031303167,0.5044089925691942,0.5815846766363023,0.5414840278295426,0.5534534938921375,0.48924774214374345,0.46425053023334956,0.6223042927421479,0.5064514728248617,0.4304283205927602,0.40535944514184485,0.48740787222182674,0.6401054774998629,0.5932206457236971,0.44949065461581916,0.44033588658380374,0.4212380611125876,0.3916199779101671,0.40822629523876036,0.3685853865356634,0.39104850815708997,0.49415697429738403,0.5033865270748782,0.7662645807177373,1.4111378317019878,0.9815202965313536,0.5710907364954199,0.4877451422557707,0.48903123403854387,0.41954884280157984,0.42555693053536986,0.41464290061217335,0.404849147669855,0.42023509493574634,0.42510076026876564,0.479345971269334,0.5633017639226021,0.5328473691572917,0.6507891652627013,0.720509035176012,0.6476243368340827,0.5444822544596291,0.46687907215540336,0.4526134988322423,0.45757343758832064,0.38142708051480567,0.44216531246885526,0.45916996273997673,0.6296814893629671,0.4264909250729915,0.4660830542258968,0.4642891873831825,0.45954795693855804,0.4940038307520045,0.5627250829279346,0.49678565323440804,0.5087350506062154,0.5897587157620672,0.5862751803764767,0.9059326071232816,0.6792773071730773,0.7844671782314999,0.5738414365332661,0.6068739736547166,0.6398668967426299,0.6209232609377645,0.7134217760531588,0.6162765500948315,0.5508279906479572,0.5996864232122636,0.6145731931373581,0.6536653547615304,0.674809659415915,0.5970543511573078,0.6812071819089504,0.7700494399272222,0.7573873062549621,0.6901576829579417,0.8311301312574495,0.8932683955885663,0.8108470898058534,0.9093684732281512,1.0218314204661187,1.0039663011903452,0.909914295901156,1.0619011864471708,0.9778999638506722,1.2107225226405773,1.0531744276680939,1.0011999479896896,1.0678042568133583,1.048148995947751,1.2202090837479331,1.4064468135458505,1.4372551031235674,1.3146519644263759,0.9819615722523359,0.8742214030044646,0.8470738610706272,0.9951779791789296,0.8389837158129038,0.9310380810275163,0.9746488194148598,1.2296387309993566,0.9109284732193021,0.8241210331802389,1.162188015506873,0.9437385169155813,0.9497147361350731,0.7315922109686926,0.685264786580807,0.6836292541395764,0.7338276705878728,0.7685876426259535,1.0843171289633993,0.8707806571215945,0.7893617431250971,0.845401884458533,0.9863299752553556,0.8749768808903289,0.8317123807351593,0.9159126082486005,0.9677394701132609,0.8765390318746801,1.007090223846374,1.1113409996767858,1.1640607376530256,1.1238379661095417,1.2236499560982212,1.1096116166349395,1.0483572034749056,0.9457997583836231,0.9679079661230109,1.0222932588971516,0.9408674202516506,0.9568536267377565,1.0110776981112353,1.012580158710127,0.8823457909103566,0.9878479518921494,1.1632033693770991,0.9510381940058665,0.9412986878213002,0.9928562902035343,1.103800541397392,1.058175939915364,0.9899942290597361,1.2031917466450135,1.1706465030646567,1.5485248216634955,0.952373180075092,0.8060301674965544,0.7796013621246992,0.8239556377140713,0.8295030746557204,0.8851610298175833,0.8576540642928632,0.7350504652504756,0.5915830281870903,0.5476628672567814,0.5009399357927649,0.5297414741640863,0.7905039103629438,0.9338026795495837,0.8861926950100529,0.8392115860649353,0.8400097028129391,0.8829138472196024,0.874250832515465,0.6064734968344966,1.0411751828152604,0.7259781991981147,1.7018285598763638,2.4348596225216173,2.774251129729196],[0.4446101533606901,0.47662844375970287,0.4943883470956405,0.4166793746282496,0.46514280623313625,0.4702261478003908,0.4327987820021978,0.48693320905466647,0.5222911315505232,0.5064772452691708,0.5620806046013761,0.6788231477759367,0.5249557954961142,0.5559133543878384,0.6315988815485496,0.5884665484827922,0.5896078709621383,0.599466681281001,0.6396036184780701,0.5670746807390686,0.6055030869917769,0.6026994920404735,0.8305010113703032,1.045339584010266,0.7319417568602054,0.6694988284445247,0.5865100783108,0.5258447028038149,0.5812740369214697,0.5550414050883196,0.6443214454212411,0.6200153765180932,0.6892696759959867,0.7006781184433055,0.6074553840441698,0.5739044306823463,0.5616459597975727,0.5450979143741558,0.5239901487939564,0.5103849007325052,0.6085197641946165,0.6571569468939535,0.5853263782873772,0.8081056437464903,1.1355332523897759,1.4718007492956076,1.5737918303817262,0.9965679252392009,0.8200966832429977,0.9334581907931482,0.8301917542507092,0.7578957062662719,0.677367182969315,0.6027739589585244,0.9632149766117477,0.5828537691892851,0.630845969820128,0.7058376850854432,0.7478630070314081,1.0321169847915905,0.6794049971461151,0.6565284864732576,0.6553370308589918,0.7931292747740356,0.6504465669292717,0.6177822960702194,0.850932284356553,0.6703120695169172,0.8278408998416766,0.7329223829013658,0.9112551616799046,1.2177930373562205,0.8910826614602673,1.0598617333192686,0.7310902279653761,1.1467926871857919,0.6435645693249281,0.6629956779955585,0.6203642508164715,0.6023528359302641,0.6404345919433455,0.5773858126538535,0.7918074147047417,0.5241194327452495,0.5039904605363577,0.508080382680753,0.5378722620064247,0.6895779111529697,0.5708478373362507,0.7125612297826135,0.7025270422196584,0.8210129536609208,0.762698195621526,0.7645844899390981,0.7119550361915564,0.7959802339211912,0.7822533245265761,0.6998526735134305,0.6598479167395696,0.8734603763872607,0.6404645068198678,0.7506077176812982,0.5793885973325656,0.5859091711024477,0.7177576250978842,0.6308947956958706,0.7869027508507717,0.6804494604121869,0.6958552986702116,0.8347556462991412,0.7244512001927575,0.5029452572258285,0.4452781545532433,0.4435242540214541,0.4947709258551522,0.4756785664387183,0.5237052555766594,0.5296670734016842,0.8107196018970498,0.6033241402286798,0.6278887656441403,0.5489120457544256,0.48570098806684225,0.4409202406842658,0.4351663384012117,0.4942536545231357,0.5046830743446884,0.5106875681676756,0.5354602335333444,0.5797619424304326,0.5574456356522532,0.6407554713936153,0.5756625565884725,0.6340876476190419,0.5353469639779633,0.5102186121058654,0.6643939737683493,0.5258327525752412,0.4897727688410574,0.4728412621928949,0.49803797369639424,0.6676441564216723,0.6383789212072036,0.5180878185965515,0.5190890896370938,0.5195650536584241,0.487284736070129,0.49207932888757044,0.462694165297111,0.4869297913816816,0.5626982382149875,0.6044448764811732,0.9068327142413286,1.5304358655653252,1.1027566619625173,0.7185050113521373,0.5900004169836081,0.5910153431307045,0.5156006130736895,0.5171293541660911,0.48884723873437086,0.4986207796173511,0.4730955197374765,0.48374744500798067,0.516224800175056,0.5799334034868202,0.5512335709133294,0.6442100857085725,0.7250463706764185,0.6567126496351904,0.5573215139316462,0.4911198216440641,0.5015363970568228,0.5136599308639771,0.4576856288538478,0.5299656062649358,0.5626990046961483,0.7522039909999931,0.5080452610110759,0.5715693635338555,0.5159438727664559,0.5193458556910456,0.536581080107766,0.5993203471527317,0.5502786963101951,0.5568387254191736,0.6209393921908889,0.6218441623681037,0.9376165527592979,0.6917208344839121,0.8084092405413127,0.6211970917360441,0.6351877896520003,0.6532033376435988,0.6353715652791855,0.7116212892237375,0.6394324336011209,0.6042595547083089,0.6570765103485864,0.6647891971748124,0.7564463199531397,0.7792482035749406,0.6770916092553478,0.7713848248573392,0.9010107701924249,0.8694752304640277,0.7724566258222693,0.9477151562187864,1.0463592376395765,0.9174078700876236,1.0251426112655193,1.1634205836152616,1.1119315857312206,1.0051704717435295,1.193736289844675,1.103840437400462,1.356521396648359,1.1949090611907973,1.1326338357735253,1.2273682694767856,1.21594441849162,1.2963977995238243,1.6389657089438048,1.6085048135036892,1.4710553914834636,1.149246245270207,0.9592766374516293,0.9679101335317775,1.058415307687385,0.9946972726492876,1.0499588557845108,1.0855908969794208,1.3580269034548493,1.0142729783519242,0.8955017521921825,1.1909397234203665,0.9960117073078889,0.9547091380394627,0.7975652977082651,0.7631888851472212,0.7934703100289705,0.879998546406431,0.9128576325902223,1.2176099305565775,1.0066602108254292,0.9180011257038855,1.016236922180495,1.162332431983503,1.0051671808039608,0.9849560079397611,1.095479521753886,1.134195346317655,1.0360325051314407,1.203729914189811,1.3077005001367086,1.3171031759632468,1.300775358557776,1.4170768980594508,1.2836332441140623,1.2346960488473424,1.1320131346129856,1.1426367095817618,1.1905710347470202,1.0955710205394933,1.131794119305047,1.1727588749532976,1.1687126613900858,1.010137766080015,1.1286989722056426,1.2989290464305185,1.045640769226961,1.0100672051987958,1.1137441877855014,1.2012241825875047,1.131737931912811,1.0613439960789839,1.2722149264457148,1.236387985254361,1.6624454755774618,1.0275802651161048,0.9063022260082264,0.8547773742053343,0.9093564506067724,0.8998168387290183,0.9302143986995834,0.9089689729864899,0.7966318538060955,0.6171977453496418,0.6013671374226077,0.542435594521996,0.5611077539352617,0.8801807790845205,1.0884587478736092,1.0381020276850297,0.9035043089612348,1.0199510405170318,0.9989819919961136,0.8900040309549561,0.7035565211228706,1.1380428367102309,0.7972045784309071,1.8472483290285744,2.798658328141311,2.9588671508497733],[0.5262066774132058,0.5191631311741073,0.5503885123961458,0.4417568498354325,0.48790270587439133,0.47495080809726076,0.4272561932712541,0.5092814378257033,0.49031803761191806,0.4352486260170454,0.4869413364824162,0.6156968108229799,0.45177743256327346,0.4566918681456869,0.5359431526138616,0.49035936139174807,0.49485373353555123,0.49265023621870485,0.5363867084154507,0.46308388068664474,0.49065370087073107,0.504941784517444,0.7050001667630303,0.9406961894111114,0.6640426875129767,0.5902935507227496,0.5056906729583743,0.4469976185568568,0.4887484057582841,0.4866141846304496,0.5601742620937492,0.5615299528545181,0.6436650298852262,0.6354375187250709,0.5466295678160638,0.49538725934467664,0.5182022215617723,0.48383454799373066,0.460549382707835,0.46595422532273434,0.526843005308006,0.5633454809622991,0.5009699631984625,0.7231663143088797,1.0202960749802084,1.3622640916582243,1.4721032039538848,0.8985442171183554,0.7508265950717876,0.8744990916796315,0.7712033298657046,0.709374751851713,0.6130529163986035,0.5450476464232489,0.93157637519702,0.5216810180812878,0.5844807412036765,0.6394709548515646,0.7267415357410226,0.9675205170237464,0.6495479897347941,0.5854708593221466,0.568206733924997,0.7039866526234805,0.5420175730614667,0.5405249072084002,0.7705591274068359,0.5659049913444346,0.7075617520019055,0.6236905475971599,0.7930256901363208,1.19439784056228,0.8051505217696595,0.9697258493571743,0.63572455672165,1.1137492275493341,0.547205011483809,0.587609559430553,0.5470565783602733,0.5762236316074167,0.5914573910567665,0.5780062326539336,0.8124137907928686,0.5356200563203087,0.4739518714097573,0.48466072926377163,0.5052737350928651,0.6359568643287732,0.4980123865047778,0.6403501416550793,0.5926082468110213,0.7194706473022485,0.6688051391715719,0.6879635753598486,0.6350870424970755,0.7298539849412737,0.7079978874849511,0.6295432869364941,0.5852981994224243,0.8341922120455554,0.6070835161003518,0.7335880442530258,0.5714001114368193,0.610880804710299,0.738991510941429,0.6770454154504845,0.8648075035389848,0.6930679154352003,0.7056255117955016,0.8806098448561447,0.7363979376772437,0.5238967297469764,0.4457896709199282,0.44434663710037015,0.42010387856229103,0.3932390617826637,0.41022789285510425,0.40809920144970824,0.6744077244310835,0.48260515194907666,0.5061294633268641,0.4356044265638485,0.3949179871205996,0.3706146580854289,0.39374312776132203,0.48442927251640255,0.5026157165874683,0.5140891994720557,0.5685985175766088,0.6198194446488998,0.6081286232412577,0.7082274120336198,0.6044296054516767,0.6693486257104335,0.5545548394494065,0.5141547631960147,0.7009401669568887,0.5219842030948647,0.46796692594442835,0.4308041947841148,0.41113986942705827,0.5816327950226218,0.5535277830980744,0.41833792559236693,0.4121832454745213,0.44832235041918755,0.40661770974314326,0.46509476465911814,0.4569069227852477,0.49559352376625465,0.5705302320678115,0.5987423050507363,0.9018789998079102,1.4911843685801875,1.0389699977283535,0.7021741032496723,0.5533839873692772,0.5778525277607507,0.48253000392941603,0.5531217330165995,0.4684685398027328,0.46536286686232187,0.4479753452286204,0.4629241729289238,0.5145647538217138,0.5593713104483041,0.5359431644697157,0.6153857739741297,0.7018336399152533,0.6291348017013527,0.5449123261843115,0.47484464163106616,0.4961258907921088,0.5018169037293639,0.45791926188154913,0.5411274932901785,0.5422519770881812,0.7680638096428879,0.5194044197679767,0.5953699007999538,0.5240975520923731,0.5491241679865966,0.5583625799057399,0.60831330074003,0.5437052627496985,0.5716771200499787,0.6059215188276903,0.6189387842219751,0.9024950395127435,0.6835126955686239,0.7774680478732998,0.6343511628542584,0.6057512737951961,0.6416491867846885,0.6399500953495924,0.710317214211702,0.6678512052366702,0.6592513121275032,0.7032345920497429,0.7383969829943674,0.8214646077041424,0.8432158714522137,0.736897917215914,0.8337889902362259,0.9624436585250373,0.9292466559833953,0.842966916518228,0.9798090711497279,1.0892473872847905,0.9647095210821759,1.0715696956147671,1.1930936250377264,1.133973573201611,1.0564258259893922,1.2152372542722576,1.1496777896824062,1.3681012062053257,1.189502678918044,1.1455147478954155,1.227194661314778,1.215846470638261,1.3046270918635106,1.6041740558732753,1.6839928092565737,1.4800907814411124,1.1830212703666725,1.0326913181167603,1.0508598546464885,1.0506374402417014,1.0342889559507678,1.0952312776054953,1.0791716028820635,1.3315252664182287,1.0268802943443065,0.9399196828439362,1.144284948090815,0.9935166750875963,0.9817288173064511,0.830482812347798,0.8229723050457898,0.8806239949126795,0.9689023295820379,1.0209591580232145,1.3239859650943098,1.1095329762502857,1.0107340578272608,1.0878853273366906,1.2697166629573269,1.1058421655572699,1.062807741918055,1.1772645552159995,1.21557835830953,1.1123067002753253,1.2551793207946065,1.35627019936137,1.340329042719009,1.3272771127687963,1.429011547854786,1.3045795649347822,1.2576905601076107,1.170616114711162,1.1756682614253744,1.2009229376986739,1.1275056116325997,1.1778328521994177,1.1866518752636717,1.1872534426154517,1.03895831687961,1.1386453683950593,1.295090223031559,1.0572828371690122,1.0139122945526242,1.1146282995601122,1.1826313458926636,1.1067484319941177,1.0559286785302446,1.2308737979927382,1.1921764669093815,1.6334805201451834,1.0568182602718472,0.9502393648473701,0.9042477548458141,0.9708924424255622,0.950040541368598,0.9661549196935808,0.9519739768336133,0.8609769173940844,0.6615928006359375,0.658252309564088,0.5929119946156238,0.587989851517574,0.9585332081438832,1.2514872449604018,1.141603481422203,0.9609678329629845,1.1906940025260466,1.200472695336239,0.9437171754078983,0.8341404646988949,1.3647235515445122,0.9984901901554453,2.103554976673325,3.2069015762545283,3.076444047839295],[0.8587462306324003,0.8818422471074167,0.8869097908528527,0.8226686585176067,0.7666005004069696,0.78304372718408,0.7581197734077074,0.8216747459049447,0.8008194513467062,0.7911388811490212,0.8233554036072999,0.9183548224712322,0.8200006579667226,0.8096455076511486,0.9139227844074286,0.8558241604190269,0.8555073061664159,0.8670272865611619,0.8939103374926409,0.8470129683752387,0.8433416446213668,0.8380440163600889,0.9978291686707721,1.0832923283472013,0.9358426390123542,0.8581648885482417,0.8462367242841197,0.8117539617656799,0.8720907763485302,0.8501799312820036,0.9206982595869775,0.8951267501963783,0.94937148893376,0.9512189517609427,0.8961715404023978,0.8575611482280787,0.8586835622607948,0.8272027664499695,0.8093916466375809,0.7955161534066061,0.8371794749159388,0.8780875364288342,0.8202055014389824,0.9470424943652095,1.2768599276326198,1.6312139137368125,1.716302460317231,1.073590907193019,1.002237003040318,1.0781629001297706,0.9986537934887031,0.9187145475573574,0.8883824964100013,0.8607423042596584,1.1724442238055475,0.8555633197012873,0.8874688124715532,0.9045027707058005,0.9507959207456534,1.1507647448556506,0.9457689514918152,0.8927216175486232,0.8935130191942312,0.9940790594923554,0.8863503006064848,0.8774758832554855,1.0818692790624957,0.9402172530272099,1.0751422935947095,0.9915190844116881,1.1177728436280034,1.4865248504314152,1.1592023058347838,1.2797720822642922,0.9299844123325359,1.3344671154644054,0.8654949771912988,0.942564290776307,0.9015837398988206,0.9301571545797517,0.9362088688184337,0.8687611094362249,1.0593994215523341,0.8141256318117113,0.789582213548478,0.8377136601620074,0.8572738847797352,0.9448416989366074,0.864599170867899,0.9878129696539153,0.9303804607128698,1.0885437304606993,1.0198117222804362,1.022172203353617,0.9882723783791448,1.0581899074551342,1.0177832162625624,0.9709470535638276,0.9316003585625339,1.082258933316443,0.928283302400078,1.016017866784693,0.8983693719347031,0.9682967105678557,1.0840973511773062,0.9311163805984356,1.017886318144874,0.9215650104279302,0.917659878060184,1.0186622015709008,0.9387116660027408,0.8013469644888601,0.7935509181745302,0.7715384455337,0.7867427029980064,0.7243452947029151,0.7497091797278304,0.7004845225003459,0.9548086511884516,0.867786551057636,0.8395007078669959,0.813502828002854,0.705741591812657,0.7208513874344823,0.7411329159298601,0.7515154359338803,0.7865508695783853,0.7896713468361736,0.8387309152128144,0.8496306672416963,0.8493455920110615,0.9137882166401229,0.840291439606019,0.9111946302464725,0.8223285496409449,0.7862658003462663,0.872495672725116,0.752057652998033,0.7861995767081753,0.8110212729544843,0.6833767076675175,0.8392680668077972,0.7569214941078581,0.7300821346232745,0.760959272633332,0.8041654446176073,0.7738863302909548,0.8346951404257128,0.8074929427414214,0.8280905832472502,0.9019531361222548,0.921509459091637,1.1839655518699095,1.6507790725892977,1.2275019672244296,0.9934316322076766,0.8909201531399653,0.9477537503728771,0.8523348934027911,0.8832245923498716,0.8084268414532569,0.8155297495456727,0.7691047485030524,0.77907983599708,0.8112390441362942,0.8687263169230973,0.8120264465507986,0.8576893372334471,0.899080311721777,0.8544070276843198,0.790305912320605,0.761072470858965,0.8015760138136637,0.8310062447452307,0.7912756460975114,0.8447251422921731,0.861858447534998,1.054109446879455,0.8155925662720893,0.8993286704778969,0.7992623890603164,0.8233020310824006,0.826773534338467,0.8625958475630994,0.8476342228638244,0.8261869913388983,0.8436638272208176,0.8378767763209986,1.0928774891560402,0.9128249640941545,1.0182938332455758,0.9215900690886243,0.8994485793293758,0.9018533924053505,0.8787769561361114,0.9202104218573185,0.8776189087015862,0.90455836313692,0.9315999637916114,0.9558254258007952,1.0626817979243097,1.09713524876588,0.9846415637368378,1.046465598506382,1.1603140873278042,1.1224229158704675,1.0682241207194871,1.1883213506548802,1.2866283989459235,1.13667556231829,1.248239185788639,1.375427525718072,1.277376949742983,1.198990020917195,1.386308415981314,1.326360640173255,1.6081918423478392,1.4189667079084407,1.3459556215634572,1.4302607913685523,1.4235279742160547,1.6461989207531702,1.8241941853574595,1.7974521998799864,1.6205790002529892,1.4244390498474206,1.2024070121325896,1.2135892070752503,1.3993406294971225,1.2675545130705121,1.274343891958031,1.2869485566537262,1.4835388226516988,1.2070927208497029,1.111636908411767,1.3891292853844108,1.2158585429255953,1.1805515393018686,1.060065770453653,1.0119615063744156,1.0546523783615476,1.1337748684017657,1.1944538252905599,1.5413820934032556,1.2674330815609587,1.1877157326199173,1.2861816479011918,1.4047280086995866,1.2806839832307941,1.2221049372036086,1.3346338618345388,1.36238676239232,1.25014855196671,1.4383926628392938,1.5265423948412251,1.5104030275471918,1.5027305059529237,1.6219949869855066,1.507099692850023,1.4804578469012222,1.3687814868510768,1.398074872327186,1.4648767856553986,1.3298606079496365,1.386756873361783,1.4082921620666946,1.3880317955431074,1.2447198920487716,1.3642274654084576,1.47286699972239,1.2751753803338612,1.23332002424229,1.3128345644369324,1.3923195642296933,1.334738986244544,1.261249361307615,1.4890236168482904,1.4150412667771453,1.8640867471822988,1.2442952708377255,1.1359599407441692,1.0936310755987333,1.1485939652747013,1.1269767861461606,1.1556859621049096,1.128963712230294,1.074667539106925,0.9258655573732779,0.9037200556656427,0.8577751453049033,0.9203100357924497,1.0326987979959212,1.1821837359114276,1.2321172646969147,0.9996501374891287,1.1308431784542112,1.0580164592688608,1.0065731554412478,0.8830893578179835,1.111991809400769,1.0005686670779685,1.7825431612966112,2.833617675741766,3.227294409076681],[0.8848752348938022,0.8178323988740837,0.86304183755624,0.7782657665954101,0.7855563228125924,0.8786465113879002,0.8647721195296161,1.030255446928932,1.0226431903775957,0.9466737096232314,1.0516669780616663,1.256786176456759,1.0173417134122074,0.9426415902943476,1.1272823158999932,1.0760453329923354,0.9918395584071192,0.9817396011163696,0.8852252740356662,0.9186176061143171,0.9053121972831193,0.925636979787485,0.8976733714498041,1.0328966497091663,0.9512112919703578,0.8526280582244903,0.8791896899789109,0.871443066644204,0.960155877234238,1.0669663987251952,1.165848622960709,1.1903949809478551,1.3274728283197939,1.2938854429638371,1.178164502275979,1.0807099948410301,1.0788475219956593,0.9699540348736224,0.8975900345995781,0.9252246685012433,0.866990794207994,0.8850071454620337,0.8931975331621247,0.9095229191367383,1.1895874819316463,1.557725993016183,1.5683714856268707,0.9894151464420161,0.9419366029765757,1.0394616225628177,1.0085083594164501,0.9209362083726811,0.9495728408555265,0.9481775383310227,1.370007148247193,0.9874189817330097,0.9637313219411301,1.099961130689125,1.2063580881074527,1.1977941671186825,1.0452198426177737,1.0511484149787707,1.0899406650023418,1.0924247390845276,0.9748344379501408,1.025268168615156,1.1168874219835179,1.017289441217758,1.0823744325770501,1.0624782704229832,1.1636210451696272,1.4883237778795428,1.2180318880230994,1.260823627989117,1.1198648818842674,1.2573542439959995,1.0581083683851935,1.1879301709957117,1.1666510897479156,1.1484894634199387,1.1628938056830698,1.074106686658239,1.2765885314442496,1.0129874239949905,0.9472146500058904,1.0267287605931181,1.0279514556433438,1.1104426380050658,1.0788207472436266,1.2500911354333768,1.21341725475707,1.2473772321333025,1.3007861899497644,1.344269838576503,1.2731844572039406,1.3973259126398379,1.3325852719497144,1.3602106674473935,1.3311679742742595,1.5559590798985068,1.3148556813566563,1.3323098335332273,1.2102840083964228,1.1997013102616718,1.234184354204681,1.0687788203203583,1.1457239481031183,0.9963136054666767,0.9793970532494302,1.0911503920256733,1.0054110521690547,0.8927607666284266,0.9174355706618067,0.841713333139738,0.8957415917168056,0.7622820400536289,0.7914373971388082,0.6959702342342067,0.876913508296135,0.9408319926940951,0.8443840968176519,0.8634464439992529,0.7099261565075028,0.7333552408703643,0.7750836783275649,0.7513293144452227,0.8364543642190562,0.8350624972714711,0.8704408839588249,0.9209253632409026,0.889906442431347,1.001210566322934,0.9173635856089745,0.9899471953838453,0.8645166780199969,0.8158866863437545,0.8960376902222497,0.745046619012203,0.7188186874765917,0.7571943203318946,0.6421789675998923,0.7747976937431091,0.7535467230445403,0.7299596370462335,0.7907830305295285,0.8569038603231397,0.8378629122745789,0.9509343963027108,0.9627309976631299,1.0062155277941838,1.0949173139402109,1.231587829470705,1.5776855921218695,2.0164463924480813,1.6599622585569116,1.404540997325728,1.2362668379352946,1.2219916855775326,1.122749197353949,1.0834556031940539,0.9132422150162378,0.9472592417872183,0.8063036142072331,0.8577566944779333,0.8201577213570593,0.8354015389076257,0.7870644252755349,0.8497492295871727,0.9424936897698604,0.8281531865433508,0.8030376186416136,0.7558815393376269,0.807195302031044,0.8864633182474919,0.9335521264742281,1.0466532664339754,1.0798628399103307,1.2668448758450734,1.002912814804534,1.0738876106545199,0.9226932559183405,0.9598789424341795,0.9321471461586834,0.9498858195263384,0.9261895314157976,0.9012874287128626,0.961869454637372,0.9077607477888938,1.0708118349622715,0.8841708386959273,0.9067810937076322,0.882012377452903,0.8950192434097295,0.9138673898215841,0.922896814965609,0.975283990096014,0.9147758402570366,0.9605299756622896,0.977044974116108,1.0094682965098472,1.094727907005606,1.1127322684235499,1.0144577885320591,1.0808299250400943,1.1812559303774213,1.1296029333923372,1.0723259748444651,1.2156721702320121,1.25955285896715,1.1251858900929608,1.2566738861216804,1.3381754737886367,1.1781527031153836,1.2111773737555176,1.4484659397128126,1.4630882199505992,1.6243196095770753,1.6077742677312055,1.438216287291953,1.4849435907851622,1.4693602082398363,1.4851367518723824,1.9968637947151462,1.9456713306768258,1.6782682792282273,1.4523343565860514,1.2477701036560191,1.286384494621946,1.3276854844443298,1.3556008883847201,1.3474206710341616,1.3722379856282538,1.6516766248130856,1.3483547986963031,1.2775818345906105,1.476067545093479,1.325224024382497,1.1536930095287035,1.1227571145656388,1.0976374568596377,1.120778862738652,1.1934848610022373,1.2613560824727779,1.5655033397240576,1.2846261299076938,1.2037091783786522,1.3125994787288862,1.396475945613291,1.3019132640137154,1.228903301043556,1.3218552504556043,1.3622701218155393,1.2369462577501389,1.4006807804332886,1.4769895586489024,1.4497247825383446,1.4412626713772962,1.556592433579183,1.4749187151716683,1.4471175818786168,1.3678585042040343,1.392467788878755,1.4351501791199885,1.3341603777323587,1.414031152456014,1.4467149452200534,1.4512400231470157,1.3205239005440443,1.4676019673628056,1.6472783384394725,1.4063215565914142,1.349699045349783,1.505102737580819,1.6126052613330473,1.4965886964960875,1.4462642165588577,1.7058529324601939,1.6981461359024352,2.0368556752067732,1.5065651861707408,1.2972680038896054,1.177368429624464,1.3879375023932714,1.3075348698340385,1.3611262692179822,1.2736772185253866,1.1654485507700862,0.9139102466132503,0.9160354569504681,0.8661190277683383,0.9102863614761665,1.093407847591316,1.202486325538802,1.2256925401716747,1.034245757365105,1.1532451588223822,1.0213302806933988,1.051280624594019,0.8997632004000976,1.048067436897659,1.2088762983802386,2.0152579138657774,3.0176563001470273,3.685038598764929],[0.820682498834659,0.8025716476635368,0.8432068664482997,0.6802082770085839,0.7123574198462146,0.7372129517349999,0.696032655476036,0.8580645176625172,0.7976134958428666,0.6876635199810667,0.7511142202866345,0.9474090585811473,0.7243939051598346,0.6489233221765398,0.7839001117772235,0.7507046209409544,0.7048047441001404,0.680653214987787,0.611248653933979,0.6198941099518464,0.6019197743359231,0.6517816812238943,0.7173410883304271,0.9168749328094521,0.7389676917224477,0.6568255004102248,0.6166804255941913,0.5811592842964174,0.659391931648335,0.7862800215217454,0.7954185327884928,0.8836239715457657,0.9803424725970482,0.93836158447758,0.8574941270593913,0.7680868727294261,0.8021689542966022,0.7082960236281438,0.6633735954255054,0.6965234207932406,0.7149330448777113,0.6902308982010342,0.6492833523705857,0.829366008960857,1.1099924810053468,1.4330647331086015,1.4949820091912527,0.9676034345115955,0.8526332279211708,0.9574883264311758,0.893954687373122,0.8181906199913309,0.7611130862925386,0.7798589545298087,1.1832443736621863,0.7470459864254385,0.7514203942845357,0.8317730671991974,0.8886066897940744,1.061999992144425,0.7555861775268657,0.7387429539959453,0.7425433019161873,0.7421840223331418,0.6300641891502312,0.6598845445264232,0.8261976703115761,0.6732292439568248,0.7397008376327088,0.6857132951423542,0.8362789098904279,1.1781477540920704,0.831220191542685,0.9283765697115176,0.7301511258074652,0.9933820854594912,0.7023621941624963,0.8216366327673031,0.8256822707993353,0.8035648708763725,0.8712481958392962,0.8414841235955712,1.069010680789904,0.8222682576353005,0.7383935658327121,0.7996434934369495,0.7502352983042511,0.8630156878921659,0.744046666927961,0.9043346576407837,0.8276636470313967,0.8798490798380414,0.8864854548877276,0.9461170815613126,0.8936510077580812,0.9857516936831705,0.9278761378840182,1.0053959377893624,1.016251734920324,1.283613031754953,1.0449133328666274,1.149313297535787,0.9834509937301463,1.0436060601046342,1.1472719534451494,0.9516892377469399,1.0831949284208362,0.944056037921414,0.9398680188031151,1.0273692562539951,0.9222843196327475,0.7661962735267742,0.7514852351484671,0.6835277274278959,0.6740400446042104,0.546707651856585,0.546607479290433,0.5618352883702074,0.6988816819148426,0.5749076203733711,0.5688691708170778,0.5431238545064567,0.5191544484779201,0.5395121311378315,0.6044627384179162,0.6648703176589124,0.7359261934532133,0.729126832872947,0.7927094122840539,0.829350035973434,0.8120393042697828,0.902867958396814,0.815471708068521,0.8979992160018279,0.757654408687291,0.69608524021917,0.7747445857485727,0.6646553359152753,0.6190314111604683,0.5817796689762168,0.647321294642141,0.6680416565419305,0.6205162780593971,0.5623553351919843,0.5975231651114656,0.6533774370792189,0.6194075372287994,0.7214294924716851,0.7697910441553144,0.8153366578367135,0.9633823684660378,1.0403664695943522,1.361238291435677,1.876806948320115,1.4497698365481688,1.1663239619554822,0.9966685799563316,1.051643469855412,0.9015304848457865,0.9250162146102349,0.7316416704180269,0.7428055879438757,0.6180705170202272,0.6605493667307426,0.6557902439201877,0.6895381956734533,0.6897909919122885,0.795700231356904,0.8766901723862055,0.765842239145979,0.6856857982784725,0.6498545778123568,0.6898859374674954,0.7350724762569855,0.7531992960145051,0.8589582885491104,0.8592266566457875,1.059081694975323,0.8059937156577462,0.8946911457280865,0.7488837637588217,0.8280618187010643,0.7993107382054536,0.8377791946930829,0.789626984217311,0.7779231780133896,0.7714835848707137,0.7719464389642584,0.9216769948329098,0.7768820381312865,0.8076249688268626,0.7165156951872956,0.7727631458248925,0.8177936599553306,0.8343256493751814,0.9205952121506861,0.8462664437687988,0.8853219880671049,0.8887017165026143,0.9295161569150636,1.0480195971052073,1.0846729652709093,0.9599474111027261,1.0290910041886947,1.1470871049902023,1.0943747704287667,1.0153853045628656,1.178128606804022,1.2767353747475805,1.0894192366407796,1.19818179703963,1.3225072825441766,1.2250809769411277,1.1023884000462714,1.3421647360644238,1.322507481267571,1.5690942461292918,1.4821264153574258,1.3673709787837698,1.4281005273100138,1.421374653324486,1.505447941965572,1.8919120372969218,1.7526536644013877,1.652592804136786,1.4593874791141959,1.268928667064392,1.289155597137384,1.3599410582306686,1.3165763618411004,1.315002270401804,1.3877967646607505,1.6490757773317721,1.2993383394934002,1.1813329009997835,1.4968708478580453,1.2443126825038398,1.0764689097854077,1.0348178379501904,1.0029153068342056,1.0689989294206976,1.1656316849944486,1.2326925019855965,1.5570723206841195,1.2970403402167348,1.217331648646894,1.34411463560331,1.4123004211131696,1.316139779229981,1.2505909352731193,1.381162999683186,1.414687176992784,1.2714279197218732,1.466512539776301,1.5685839372355945,1.5669288630771159,1.5027446344053614,1.6281043176069103,1.503312663516272,1.4881199164044505,1.398560542983957,1.4269146067759502,1.4698465787873372,1.3250538404069006,1.3699730032821857,1.4221642862477788,1.4006566036894432,1.2667188443462738,1.4304379478540539,1.5838863227858686,1.319517752398808,1.2656212984748665,1.4115046807072,1.5090441923131752,1.4052224437468372,1.3550496190887542,1.6083906662437666,1.615650496637159,1.8896507719813702,1.3587233073200455,1.1897980250786042,1.0873680733906852,1.2454077628422906,1.2119063889096247,1.2741102733244716,1.1971352459820936,1.054466787400825,0.8709524521561481,0.8499893629372831,0.7931869871748078,0.8874202869080534,1.0134947379312926,1.1033135838206565,1.1960648139980707,0.9643412271892565,1.056660196010189,1.042845939054443,0.9780870195057125,0.8292530645964882,1.0530844694693848,1.2656256230283107,2.1061345667602853,3.031307320017075,3.876294725330936],[1.2140456063513863,1.2217659674820134,1.262356467081564,1.0611776619358748,1.0448437408315134,1.2313298371277013,1.175804567447861,1.354091819522695,1.2930859262225587,1.1598668764289553,1.2188841543082414,1.4389067683149184,1.1984464110827635,1.0785478176412826,1.2308592521936037,1.2214285872532007,1.1366742296084413,1.096440918990284,0.939733627819112,1.0018836234102864,0.9691607276481444,1.0264926167320911,0.9668388790796901,1.0819396584950196,1.0522449939135567,0.9431334417263646,0.981904709634765,0.9858043903920819,1.0930567786104817,1.2506421917543187,1.271183799001938,1.3589118889819922,1.4456035190438543,1.392995887262394,1.3179185602964014,1.2239423362191422,1.248998344240995,1.1365636396428414,1.0838957741757165,1.1091517578917964,1.0089797404033227,1.002489126492009,1.0112907323064275,1.0327102564571236,1.262551265844635,1.5575102043263733,1.6244923237141873,1.0595958918138049,1.023310549821749,1.137728494722339,1.1594608239582143,1.0773329072811968,1.101334392428759,1.136054163262308,1.5102349725323558,1.1457272773397522,1.1285711091992399,1.263047618931811,1.298004905034387,1.3850302250330968,1.1266018641670796,1.158993675806258,1.1796559769628583,1.1287246561541555,1.0085540973222211,1.0806994877735052,1.1805050161850958,1.066917571163351,1.0642308675556398,1.0714235300310018,1.127710847550692,1.3728824726391649,1.166671904159463,1.2089906602613234,1.1639137302666107,1.2700492919141586,1.127968892760793,1.2587821533143018,1.2777191360363036,1.2471104357661869,1.3352713433464531,1.2637745133494949,1.5008727086701956,1.2497153973714448,1.1458957574804325,1.2371973750759606,1.1832760215010654,1.2926046669691404,1.1959586314008166,1.3382049956428812,1.2879528658446953,1.3111236629539207,1.3488388299652314,1.4029727246449701,1.3621702183059718,1.4393581853715853,1.3890102339195796,1.4941748443373348,1.5140917600677002,1.728790321916628,1.525980367644624,1.5996721770002456,1.4702472552590375,1.520460467396322,1.5440537744561715,1.3509284716405496,1.3492271650648962,1.2929889551054305,1.291235513814497,1.3446373412904264,1.2564507974080434,1.178543277414161,1.2315783735566357,1.086771589095817,1.1109701481394485,0.9090788481342583,0.9176139476820155,0.7854199679573795,0.9264411298531124,0.9724700933285936,0.8884812209358375,0.9328791493053605,0.8100903432393862,0.8971527645075175,1.0087650879598564,0.9279788545403619,1.1566157165243132,1.1009011806853088,1.154334268182259,1.1714470733440483,1.1039441201976388,1.148582306424643,1.073600423987565,1.1926759689368542,1.0628946257130516,1.0377480754539263,1.005186565610414,0.8928282153743585,0.8666987971117444,0.8977719179834915,0.7419991390887131,0.9208307281261633,0.863710679309227,0.8826805963431372,0.9555193777893556,1.043166220672015,1.0297649793667825,1.1600902862802551,1.2434608417082302,1.2872989689431549,1.4533701392767058,1.5456382654712808,1.8329394151331277,2.2706192427459455,1.8754327848827481,1.6550041561181905,1.500536615268679,1.5307862040447058,1.3900932287413883,1.387247697188569,1.16593643715007,1.1641390845363337,0.9750579347548044,1.0375526403331952,0.9617505917805829,0.9146195282896563,0.939949204032367,0.9393854224680587,0.9995547811236991,0.9349005975348106,0.9224556560676247,0.9233050377413728,1.016415205162768,1.113957331477246,1.175260682004184,1.3158692030156598,1.3237659138110853,1.5039222175096871,1.2317875720385991,1.3214279545980352,1.1469824058128835,1.2183282074678605,1.1462799678974238,1.1699866946480038,1.1250224458486962,1.0807261833515582,1.0907674416959439,1.038643579631343,1.0709855980059149,1.0218859703580438,1.041540237953872,1.0094566516036907,1.0275212495329926,1.0472776045789527,1.0708703411609422,1.1643294708957053,1.0941838123241812,1.1540882086270277,1.1410187147442554,1.2083307518973632,1.3250382203390594,1.4355044126019685,1.302737411458837,1.2890954423235,1.4373133805138418,1.4303269726902925,1.2571999591771028,1.4089923139660179,1.5868259307671382,1.4020374941738638,1.432406526751398,1.5818130711119807,1.5910848602442005,1.368954526331562,1.5231047392845185,1.4438641422942997,1.7289914179899368,1.5573555605908502,1.514684525321683,1.5941300750839316,1.586037286634758,1.6713610567474293,1.9908193322127752,1.8497665341296043,1.822209688713043,1.6867532079394487,1.5726192176971932,1.5264649986888041,1.6152250756273443,1.5177649986776942,1.5339049376543707,1.5678591832484916,1.75703599166496,1.454096109480256,1.3761200265068243,1.6425405761541214,1.3733578590692903,1.2948209997984668,1.2482057567508553,1.2576239097692967,1.3465457267423357,1.437275658309981,1.539569748849848,1.873145267126474,1.627266688446994,1.5383913548615418,1.674861897792681,1.725615077660385,1.654575730495551,1.5822713449136696,1.7299142286409501,1.7703664736770293,1.6310374896708992,1.796453073137458,1.8949278763818564,1.939333600536311,1.8193544311923595,1.934384254117255,1.7932332334521193,1.7832042363149534,1.6938168549859005,1.6994694728875934,1.718098817419093,1.574023623377135,1.5871933900061677,1.613917188483774,1.5664718424833204,1.4441025761525463,1.5926988765141379,1.691975752340801,1.4235093451533367,1.3763425678587602,1.4874212362537385,1.5471194957934227,1.4680472709252934,1.4130514474617377,1.6668161073936127,1.6347077808709136,1.9463751708986265,1.3634250547274,1.2912319094586857,1.2243031489453866,1.2188572959255088,1.2180899708525301,1.2662580074946947,1.2301084470668207,1.1992558577860188,1.1177720818354548,1.136492883582318,1.1146484954306493,1.2617406054357527,1.3133908585608058,1.325563376174531,1.5195962835013932,1.266406848145021,1.3313313167869252,1.413058985295808,1.3684914269065878,1.2226701933416642,1.415608961606253,1.8122511708054436,2.3916896193409243,3.193969980246968,4.239685141613039],[0.518583150200186,0.5879389796712023,0.6276723165646126,0.49058603825180686,0.5003467149771645,0.5812951572215587,0.5367031024866104,0.6260280122412628,0.5977649369474348,0.5339383927975129,0.5781900029303124,0.7374604844822417,0.5368806248961642,0.5243006224094191,0.6343588525471766,0.5830074071952749,0.587248468465536,0.5723556654292743,0.564252876651278,0.5060070419688457,0.5303168239594671,0.5717831590316028,0.6743927725198641,0.9075928826550775,0.6746629355701632,0.5900230608086038,0.5049166928009778,0.4672513674785035,0.5428907443273884,0.6018372769832312,0.6414895797363316,0.656485164504829,0.7247262980540043,0.7169249660649138,0.6246592708912695,0.5852112965558218,0.5933849785453527,0.5350070898978239,0.5220799541363177,0.5330135420702666,0.578119949672218,0.5973629718395359,0.5422437852913202,0.7613766517789213,1.0991567919794998,1.4254324694570586,1.528731239407564,0.9239225371701884,0.7781799309358656,0.9064900033713462,0.8495639190566553,0.7221328597592661,0.6595460808818763,0.6144865706547218,1.0378857315224872,0.5794976704676397,0.6149335669998138,0.7439733982075563,0.7577251559093419,1.0432297649169742,0.6547674508297391,0.607714645665331,0.585618057119939,0.6686379439738249,0.5416142476498806,0.5439028642469323,0.7512257060988505,0.6079915559457795,0.7341409089310774,0.6513365067553746,0.8255569136054011,1.1303700443430482,0.830019184769561,0.9539382280537434,0.6361970658048952,1.0626817767032206,0.5816358000573518,0.6366791709913693,0.614164072308905,0.5983252852222097,0.6947948268277636,0.644965527516259,0.9067472343456336,0.6004073966820299,0.5390684514273473,0.5795208291719873,0.5465210871487951,0.7059133240401424,0.5472144568918441,0.7180097308170865,0.6853582989028583,0.772905305995662,0.723453373606303,0.7305602386943417,0.6946501507180469,0.7884701614202378,0.7605336124419981,0.7613450206394394,0.7524742678179518,0.9651659389008607,0.7492266194082721,0.8540082481882503,0.7193356347568134,0.7520175005544895,0.887992673115361,0.7287962412878501,0.862975221943609,0.7707538085834648,0.7751789070855754,0.8688620859533882,0.794207697125175,0.5836413807396388,0.5553343324977176,0.5138194361688991,0.5370495662791034,0.43688005761612037,0.4742111863620995,0.4510528966887523,0.6744403707589608,0.508588334341275,0.5024463505799444,0.47428268464041706,0.4263417182837921,0.42130126613172086,0.47079257912012257,0.5028798626425061,0.58718044131152,0.589711518631126,0.6316691859326121,0.6632279094103992,0.6377653643285094,0.7111992937963734,0.6520878213122532,0.7067315067936996,0.6012294786086403,0.5710120894302018,0.689570826343981,0.5211863233841423,0.4626698124745333,0.43518227201831455,0.4889593302020946,0.6427309542378263,0.5299172464730291,0.44661524978469397,0.4766677802838174,0.4977123745899236,0.4773759502344609,0.5490898859159091,0.5653369275987312,0.5960795655706045,0.7286403908094311,0.7530469034956964,1.0345304000280577,1.5612595634215636,1.1440030020382537,0.8359721629508567,0.7280256350609251,0.7532314885087465,0.6589342241864407,0.6705757160513779,0.5596109175999904,0.5380207579911042,0.4804833530401945,0.5086025188986139,0.527493019587477,0.5839095573217418,0.5907936499372658,0.6910249364968273,0.758455856033064,0.6797265623333418,0.5820175523764733,0.5133826754090249,0.5305663461947141,0.5683139825011689,0.5486076125364885,0.6507127309245277,0.6501113089550621,0.8529174721002736,0.5795813693222409,0.658808352020497,0.5885232923506357,0.6350477581695422,0.6316541463264457,0.6996568198218562,0.6300659079832678,0.6104201596467999,0.6519772840376149,0.6584881993628877,0.8767023327449016,0.7054249424664676,0.7936337938513436,0.6232489664044827,0.6803651671956928,0.7110052078553759,0.7001946680077894,0.7927995346514055,0.6969796328077973,0.6967354681910239,0.7230308241866078,0.7492556764794738,0.8520198543327667,0.8915296942984545,0.7741563464918709,0.8531620406704465,0.975502307422277,0.9402796797570872,0.8462876851727154,1.0141535191959694,1.1162473118678824,0.9646967449985553,1.0648518825427704,1.2073548420556632,1.1521320197622102,1.0025853947351966,1.2092522515804165,1.1243502746026324,1.3873587161738086,1.247566525647854,1.1866078853765543,1.268204308485381,1.2616714468292933,1.3638911043478021,1.6755006129405303,1.5928039915713426,1.483256863444023,1.227295875322802,1.0531400528803057,1.0607965523052878,1.210257780230737,1.103248141220082,1.1508918372428167,1.1953750412087827,1.4555008233681346,1.1157248926011012,1.0037792875779288,1.3024204823272265,1.0746363095655713,0.9950275896546183,0.8785152746499705,0.8219403146493195,0.8779058585558303,0.9523580805151848,0.9837447556018845,1.3119059660759445,1.048007852565831,0.9759867617977741,1.1085566677126515,1.1775642777827884,1.0598928016735119,1.0424105417028195,1.1451713931347562,1.1691762315225782,1.0837687594742758,1.2636333012486711,1.34826624903557,1.3825033973674994,1.3550606618591334,1.4845547242677866,1.3566139744160641,1.315962518451002,1.2077498126743353,1.2284508330505486,1.282734529502742,1.1640475049539893,1.192157098014684,1.2450321125285406,1.225401657033285,1.0821257376627433,1.2225666117025316,1.3697828585900917,1.1116604454670196,1.0754663608149806,1.1759902778372215,1.2465854374060132,1.1944861985703246,1.1367698729795819,1.3604389533536307,1.3286332470413544,1.7523686592064749,1.0835286709243972,0.9608531469015114,0.9032368969571164,0.9665819626728626,0.9557619956875657,0.9909904557432611,0.9603874166715874,0.8646309597610142,0.6857891940729008,0.6768139178319508,0.6251215447221694,0.6805241092672566,0.8857994975380181,0.960518886954736,0.9453523662306764,0.846841593247957,0.8935133304764472,0.7926417337265039,0.7815993811201513,0.6056619995868128,0.8878711346882832,0.8474507525635885,1.6409337049004247,2.5178462940180166,3.2260647878497255],[0.9031603579985936,0.9087601837629838,0.8690660486528683,0.7356808723390995,0.833651094551423,0.8184122612484979,0.8025545884999382,0.8122843180698239,0.7549825011472974,0.726063333267351,0.7086768996949306,0.7980730235194701,0.7282236183471652,0.7105350657579432,0.7337522093255627,0.725598366095124,0.7591570194030327,0.7519196645394406,0.8223042643968909,0.7469983841233482,0.7616160697515888,0.8319396592210992,0.8392904563102022,1.0985825975794383,0.8496338736227462,0.8269219780587334,0.7764639101558172,0.726935870131406,0.7676932470812924,0.7868548492792701,0.7383536283640231,0.7726310763773677,0.7958748894606335,0.7970204852402388,0.7608320808738374,0.769852828149053,0.8262638333038408,0.789805222086234,0.8108700423425884,0.8808586415938684,0.9154648058093262,0.9112370052215185,0.9053543216833934,1.125992381909083,1.3394311073635552,1.5576217712466947,1.6617968553083815,1.2529868900288363,1.099765237798575,1.2135619529782864,1.1706117571023011,1.1092753619647078,1.0192863642052659,0.9336905838349897,1.180779803238016,0.8799188176676009,0.8915811442660679,0.9921295225756295,0.9699233098736488,1.2722097094209421,0.9005308863097086,0.7905754036997139,0.734316977203792,0.7733247796103483,0.7612091877249898,0.7335872563793788,0.8138703195606213,0.7988626375148625,0.8840749574755572,0.7750735994174974,0.9229620006106226,1.1195803349203233,0.9044670358967933,1.0576225650651294,0.7181603232766068,1.2736112878410182,0.7809092213835197,0.7775712650775954,0.7617070410691342,0.7709547967448465,0.8642695069354533,0.9199245842443328,1.054515888460257,0.9018169999720704,0.8734952145425757,0.85360495191268,0.7845285330951083,0.9145022307494998,0.7598938545333461,0.8462830951552606,0.7817259337059996,0.8325622824804967,0.7555706651947411,0.7435406700850092,0.7176104075345426,0.7769456525563543,0.7634531241616037,0.7892842342383052,0.7897082026663912,0.9690534023299712,0.8395937559961126,0.9760909284368007,0.8847014675025575,0.9435626799157347,1.1471395692766735,1.01933874258308,1.205197270543885,1.1439897178925869,1.1454393884587633,1.2183010158947065,1.1833217367639566,0.9406075179522866,0.8140420654833138,0.8307480851792151,0.7720328167628782,0.7609981115489348,0.7792416195030587,0.8045680382887274,0.8924148105585853,0.6631496484779199,0.6669649990564072,0.6652921497922893,0.6936761146550335,0.713596094257631,0.7403928463559625,0.8805539881629925,0.9033758507076497,0.956203364116191,1.0289278396931771,1.0535299472655704,1.0412120690013884,1.1006150308122278,1.082595450101298,1.081265472937218,1.0200569420476322,0.9786582094623536,1.0802419666534695,0.9526232168231397,0.8177451665643777,0.757724530065699,0.9015302928075761,0.9410133509840877,0.8579907831288068,0.7925889588070731,0.81645881838606,0.7932812562166236,0.7777623068321522,0.8063758726967886,0.8135905100593258,0.8235036315218487,0.9261963594668412,0.8306232541229883,1.054566953509387,1.4519095190151583,1.080865236590558,0.8576730202531033,0.8407013982913476,0.8769123002240212,0.847980351824207,0.9148334013899199,0.8787327096507938,0.8252711041457348,0.8567263601313748,0.8695206311838487,0.9237300335319647,0.9345215317805838,1.0173730136585362,1.1132676002566855,1.1641344099367765,1.0729827329931438,1.0139796564629895,0.9346005957237806,0.9309265793198154,0.9306017854268531,0.8947640735587296,0.9395834773364491,0.8948568593290516,1.0458571072366074,0.9041331205699747,0.9105108036540178,0.9638981635008926,1.0061058516996324,1.027408702922041,1.0512660090291281,0.9994013517760968,1.0080987595047954,1.0179898821280822,1.0626364840154614,1.1673891548000483,1.0915172411505878,1.1249210832155345,0.9784808550260207,1.0747064391051675,1.1287529834929615,1.1323419126150902,1.1988747759151084,1.0939493952987691,1.0695135243538818,1.1028167650440797,1.1163815556388919,1.198702942188469,1.1783004426156016,1.1115299846319344,1.2131573182725317,1.2722137471070405,1.2381594271102945,1.192902958146925,1.3143545713644524,1.3432728905751823,1.2436802899298094,1.3316183705749491,1.4158837704958998,1.3513507423679545,1.235792597197055,1.4241871551298422,1.3513997736439445,1.5338062396712235,1.4698813116314626,1.4409748085096148,1.4849687384407528,1.4451424394828325,1.526433084811784,1.8759056268064507,1.7914148686336333,1.700702946254494,1.4490412231486904,1.264373797900827,1.3309271222139307,1.4399493574196096,1.394036779131509,1.4904707151992531,1.5218730682515915,1.7640043803283845,1.4912575056690454,1.3665648536687502,1.5468384187757396,1.3746221291041307,1.2458889193137026,1.2280429633406174,1.1735112349184464,1.2289539444456141,1.2727625104403473,1.2554385036184725,1.4749526698592728,1.2857545942929614,1.246286791560605,1.3362887775414525,1.3702006990748605,1.283352364190548,1.302073873920635,1.335130432235569,1.3277619247371062,1.29907488144985,1.4163312158558323,1.4558514279429933,1.4653977589929266,1.4952901334189543,1.6121638670000211,1.52491663473415,1.4903002847327365,1.4253587955235343,1.4345834826757995,1.4648056735900619,1.4070216900246477,1.4392731507041345,1.4973875640898915,1.486112681902534,1.374013455570465,1.4921134409100734,1.6387974473925913,1.4037656774400784,1.3744187723620174,1.428466758597905,1.4808027657906357,1.4461507638067708,1.420877339811159,1.5953945617386642,1.5860683768238044,1.8964785583868566,1.3668174882970414,1.2701891772204992,1.266481436328009,1.2831050719978792,1.2834407455960648,1.2944612524271397,1.2836395548200545,1.193096714823653,1.0410155623616428,1.0644984930584125,1.0370112066802726,1.000324957817104,1.2767422933655224,1.3154812306740455,1.1688350139808206,1.2468686412372674,1.1948549120830607,1.076234435204166,1.1052498288655999,0.9660564823145804,1.160484823243088,1.0279891502460767,1.5585427878990443,2.2902309029136463,3.119437257167802],[0.8455308264402399,0.8321955059711053,0.7724517084666934,0.6636996837669257,0.7604700414302247,0.7270659614010172,0.7203892797813019,0.7004214625427524,0.6430009984982248,0.639713317360136,0.6151443407398478,0.6920376515453932,0.6514144448022205,0.6366091302871416,0.6598495067508314,0.6588513209346195,0.6851637168208906,0.6934213789349299,0.8027351441844853,0.7146320601548638,0.7357976682738738,0.8108227039548537,0.8291032569296944,1.1064970089456767,0.8350910809104425,0.8111586062240522,0.75047801534145,0.6883290563862576,0.7168770851017042,0.712600037948554,0.6626276912362635,0.6741887676761531,0.6890621121944714,0.699091968154601,0.6837054281594555,0.6943549625632608,0.7558771811180773,0.734875902355861,0.764176720218222,0.8397484999157971,0.8930578320790392,0.8833258873593728,0.8862167751739398,1.1147807032732766,1.3471345254981608,1.5674153048558361,1.6818634047092775,1.264682784255592,1.0969290102260125,1.2142170964874905,1.1560579050693123,1.0960349643221639,1.0109971476351822,0.9044230518156431,1.1360858555012272,0.8458303252041124,0.8590185404297782,0.9562994947150104,0.9093682498670489,1.2516911443481262,0.8806016685923561,0.761215204851905,0.6802424901786424,0.7299310087495994,0.7364613204908416,0.6998486259627615,0.7786746942906785,0.7474356839967887,0.8434905960548811,0.7366968828498005,0.8815831055575869,1.090976233385698,0.8560989796277032,1.0200972268467972,0.6590950742137895,1.26635948634428,0.7282925304240724,0.7117556952124298,0.6882742904916802,0.6918023197723151,0.7651137369906579,0.8554679431207455,0.9637376912840083,0.8232484400798951,0.8323374639193601,0.7807423815804098,0.7157036478804694,0.8476365623025433,0.6951865884077759,0.7865217614850234,0.6974671769503913,0.7993477120121201,0.7010286501637212,0.6549095284315465,0.6319957363718218,0.6803706104021998,0.6816928246287841,0.6862038531344953,0.6757232040619079,0.8454162325721523,0.7099469675805211,0.8977050081805703,0.7826555711645825,0.8539300991997952,1.1274079752937756,0.9745144146686825,1.130018080907887,1.0727228402544793,1.0733356291428129,1.1533927649385385,1.1342901517927406,0.8808756479704656,0.7273449160500365,0.761703184068118,0.69377790930492,0.7240003710055507,0.74997443737394,0.7903077843525023,0.8872707350101713,0.627571309498553,0.6281443008590932,0.6173129133568376,0.6566899061961732,0.6579395343747945,0.6659520325814283,0.8184970590542577,0.8286089280571107,0.878211673118433,0.96069155495708,0.9877787526518023,0.9791708045426486,1.0335141056444623,1.0252153934737605,1.0209290733482352,0.9665719859084826,0.9279210961719215,1.045356053654833,0.921943117244888,0.7817963671670891,0.7203152826804612,0.8884954959842357,0.9433503830313444,0.8427469872384203,0.7608730325204076,0.7826439159313193,0.7425505602386708,0.7275956997192774,0.7370060632916546,0.7212158155696253,0.7234945695942838,0.7967311987652648,0.7150119266354096,0.9354085430983672,1.3471247429605502,0.998195180512193,0.734379090008473,0.724573157114052,0.7571933635668381,0.7455409270766239,0.8108703264064272,0.8058809351376667,0.7604168200517818,0.8050569756519556,0.8131082962215845,0.8881139852839344,0.9135929430060281,0.9901967288908127,1.095299814962518,1.1424680310023283,1.051912749085299,0.9814338082834886,0.8989938231516639,0.8885234062510092,0.8843043903440756,0.824960842204857,0.8511112204272553,0.8080925420689831,0.935593880390315,0.8297449422539607,0.834867064130301,0.9061670638953128,0.9420145444148815,0.978615879014348,1.008817041167719,0.9429874702069506,0.9577602120301903,0.9894113212628802,1.0301878725318956,1.171993371459842,1.0714972792580202,1.1242500513703335,0.9597830565071415,1.0419488542830988,1.0877683701347995,1.0838395134611716,1.1660317801395603,1.0510044895130215,0.9964831304073827,1.040052785501463,1.0465267616451586,1.110906459160563,1.0720597326612589,1.0289685680076166,1.1299295924605361,1.1803028665622912,1.151467606686387,1.12222544122531,1.2259429646062372,1.2361807921270587,1.163977790664703,1.2478205721019744,1.3319819639844763,1.2817126472977511,1.1832475524998005,1.3479979019670774,1.2319535456221569,1.4356432328968802,1.3399997647064283,1.3357900067302395,1.382393221365799,1.341375213397398,1.4583633612993554,1.6923686852565267,1.6563908397176315,1.6103871133229057,1.3453644376938898,1.1777836501751284,1.2270664272546539,1.3798225955517898,1.277582260071826,1.3901064517629822,1.4403976353581465,1.650339653868101,1.4008143905941357,1.285158541142357,1.4856231197944227,1.321932075146086,1.220116134952891,1.1642372971243897,1.1052397789946111,1.1224757698156826,1.155276692674443,1.1223894918508734,1.3573339137448963,1.1787198974179653,1.1446605962073355,1.2199315719348434,1.2748079690758194,1.186188838402369,1.192783586985456,1.232855835138256,1.2318614402516663,1.1986187693951618,1.3151820033110475,1.363506668360127,1.3992222424307457,1.3889878102221085,1.4956489424772312,1.4144949309053698,1.3719781982479704,1.3004407078089815,1.3189652049277287,1.3422118919271953,1.298838441319628,1.3264073661001563,1.3915825099476842,1.3849579001825685,1.2850362124156967,1.3846398537562434,1.5028158140145096,1.3132955009748903,1.3005704347187543,1.3174600933580183,1.3717949562879566,1.3611438591350582,1.3389463499302836,1.4863159541570694,1.4656303098222307,1.782886081463279,1.269845324301436,1.1785147877216424,1.2025337544603467,1.2085738554583314,1.2156171114932566,1.2214684532538183,1.2244549555615234,1.123835423800736,0.9988861183344188,1.006293963037719,0.9874258776955436,0.9346621916121931,1.1848325678256635,1.1980861404904215,1.0941657591911664,1.1887474799268376,1.0650056338256233,1.0029368082447043,1.0721599721853778,0.8859186714644449,1.0865920441606463,0.9355153550956086,1.3700323365680271,1.987142892563487,2.8556806872559],[0.6498201469360214,0.6293614598727518,0.6220236599268288,0.4912549026790891,0.5623201813684985,0.5784765995825367,0.5072236079408086,0.5080796248707005,0.500156128785298,0.4522409285906142,0.45625342462484875,0.5569995779035388,0.4669346005262647,0.4578047724547772,0.5084545366505394,0.4943720027567563,0.4989316423534832,0.5022322901828408,0.6288933453714732,0.5306849976255266,0.5993172515960659,0.6934571260860193,0.7406416403542488,1.0659989397630245,0.7558104640577201,0.689866015598847,0.5790328096652698,0.48665873367801654,0.49835769116021866,0.4916726087343541,0.5073193867966185,0.4971773941595274,0.5090186347239299,0.5313264393556155,0.5013012390135079,0.4916597602834508,0.5242024094999945,0.5333429494594284,0.5337896207237315,0.6037394616683303,0.7009070626599945,0.6948601675147734,0.7069055977618861,0.9489310204331326,1.234900192685618,1.4824863309478542,1.6340547089896473,1.1144365387483708,0.9330496143246583,1.0791060345600443,0.9853593524100367,0.8990566170276009,0.8151618412446004,0.7007844420101393,0.9638889612839214,0.66113031940373,0.689704680312367,0.8068277798281378,0.768488389280542,1.1840282698574405,0.7741539170105104,0.6211201376441882,0.5295238844778973,0.6248874038646861,0.6036737133274394,0.5436633473966473,0.7253170178399736,0.5664688975836794,0.7054982194146331,0.6077066347036314,0.7763782717977928,1.0063841003800031,0.7369087012312513,0.9322722298826677,0.5554441761297977,1.1586816206155692,0.529754963582302,0.5305519170974112,0.5155100720104121,0.5277245820210728,0.5448633438396047,0.610675974776676,0.7550428083914962,0.5623046841555362,0.6053788172942887,0.5255394485623853,0.5043805923054447,0.6426996939217373,0.48975614855059774,0.6251805524951537,0.5287141534677346,0.681491966132818,0.5981191709686617,0.5427024609957598,0.5181860456231383,0.6034814786697232,0.6121723404337405,0.571705337877662,0.5511269144950395,0.7365976929566002,0.5213063537644695,0.7510855927815016,0.5688370357411422,0.6610181534159898,0.9292446458284531,0.7515425136981275,0.8859441778823668,0.8442949087340069,0.8290199780405999,0.9089504220915241,0.8751671471952566,0.6210205558627524,0.49340704730487467,0.5110803642380124,0.48082528165469074,0.49859846066067426,0.5288958627796159,0.6018521221712834,0.7485201523328131,0.4399032242283757,0.45841608987480226,0.4170306282070883,0.46274264350818956,0.4345257995753938,0.4461840659022458,0.5422264227220096,0.6174327511882336,0.6196011722518139,0.714800162570921,0.7358745370222849,0.7614906265572823,0.815639283226956,0.7934365285590621,0.7621420129641381,0.729999782376085,0.6875028971478276,0.8343500141682669,0.6721626657491897,0.5466089555737438,0.5037141195395958,0.6811929183107482,0.8129995564689827,0.6890010051858512,0.5479187136780436,0.5577108846257935,0.5150854303589372,0.5041611330596673,0.49718683872139574,0.48190661273984314,0.49709346572829743,0.5891187408435445,0.5848606902239609,0.8451696150688214,1.3692043088157069,0.97065463244137,0.6051750604037773,0.5439703681107823,0.5629924157198583,0.5358396705824311,0.5758598162571908,0.5516423535252964,0.5177722168008044,0.5644131092811063,0.5786703144886318,0.6652871133205223,0.6917365914462851,0.7834835729395638,0.9133553373625819,0.9609152552731589,0.86511231297545,0.7644247664155629,0.6632054827303306,0.648393777181075,0.6444955882857482,0.5772130908007865,0.6087879033544696,0.5848625922312208,0.696415406990576,0.5772449093301673,0.5859983810953205,0.6676765425103758,0.6987140531588091,0.7429310028994272,0.7924156625167442,0.7043451690157063,0.7257614083864908,0.7849449297356967,0.8166513989387956,1.03688708943371,0.8993688436708058,1.004681952445719,0.7718986380018902,0.8515297722074558,0.8951383773240813,0.8935687390472256,1.0209072386669495,0.891142326988087,0.8210014667440743,0.866600687822098,0.8617844952402651,0.9241630687673805,0.8814682405446127,0.823959302236481,0.9374787775638264,0.9984205430288626,0.9516963771201363,0.9382703578243594,1.0678729213230471,1.0908685369389857,1.00977461731814,1.095958143967888,1.2285700314331498,1.1822538282599508,1.1034375149386177,1.2808202210637991,1.131726188442594,1.3777207031274648,1.2498829868251797,1.2264361520631564,1.3011640413787708,1.2796459864145722,1.456904970809144,1.5667245915948476,1.4915699879563082,1.4752997723981958,1.2124203138095957,1.0914669241581607,1.1280015520450288,1.3683651441571492,1.1299485956098467,1.2330833547329696,1.340632346783894,1.4943962595081592,1.2430266703469146,1.1580971773084507,1.44203449015896,1.2454104001527802,1.1661906018389503,1.0240834830521177,0.9179887108157642,0.9311779815820298,0.9824885315458594,0.9531517572009036,1.23188416571323,0.9980019834668309,0.9605716545885088,1.0548158922368545,1.088533499358053,0.9837276467222515,1.0085550344003449,1.0815772226380773,1.0888552217929113,1.0472135472970046,1.2009578370813732,1.255594794728037,1.3199586246212143,1.2835446152733108,1.4020076741866683,1.3165058163696286,1.2604600600081668,1.1481380196541244,1.1976835689810628,1.2494726261296933,1.1647179030878054,1.180239489665783,1.2714253978458874,1.2640567062496655,1.1480563679470195,1.2747524121526135,1.4017261459618888,1.2121963880337547,1.2219745148061958,1.2499629660508949,1.3052931344425527,1.2968893105290917,1.2593206047999717,1.4281669570419955,1.4062387618636785,1.6713404366228284,1.1333544842869905,1.0242815478036191,1.0086336096399884,0.9997891330727303,1.0209995333131459,1.0753736433497343,1.0604760971011264,0.9678890923624318,0.8319977556095536,0.8106920066737556,0.7603775145415264,0.7253402916944767,0.8963817412561597,0.8991618097258292,0.8508730732012209,0.9059250345850266,0.7784946935309094,0.7853743312795203,0.8594225017180733,0.6329500404075884,0.9490481091301338,0.8698983651045614,1.2469259766715701,1.852948042363491,2.798854180897092],[0.6999921198562886,0.6721529136466453,0.7838669251142528,0.5547735324763184,0.6397321927539688,0.6463285959822822,0.49502704778477347,0.5137446838953518,0.48148525148394683,0.40764312099843025,0.4139756678192504,0.540900505285158,0.43803963158715536,0.4349767003619963,0.5053407131271448,0.48198125760482735,0.4809451703602946,0.5063186750257119,0.6784907565918489,0.5634347711484743,0.6491434314273798,0.7498786658076428,0.7875830946254142,1.1290831998442796,0.7936478490763437,0.7448196806322387,0.6189849233990722,0.5206354389657132,0.4879299696831385,0.4643329928474281,0.48732880439188037,0.48247401066028356,0.47401898975063483,0.5064896005731268,0.4845986895241359,0.4818928797277226,0.5084612953140356,0.5428431414930038,0.538915952993134,0.610172520267858,0.7272867132317893,0.7139296183350381,0.7378620714668362,0.9650496542564736,1.2737310993873843,1.4842573913718653,1.6468753099467497,1.1287248191962749,0.9498646189209067,1.107505316875895,1.0263301003270604,0.9109339649049949,0.8548085270589414,0.7359610513295517,0.9955584925452237,0.7120719217027696,0.7279268127206784,0.8454696029928411,0.8059786256306312,1.2647670381049143,0.788010250757317,0.6358305585777183,0.5414754669497246,0.677560007300804,0.651370750378957,0.5672582834126687,0.7559780504265126,0.5844472724234923,0.7320969267073371,0.6327878133142458,0.8225280492442838,1.0544471237125554,0.7784006901661212,0.955466577597547,0.5696299168131367,1.1639099960343835,0.5535337671291439,0.5327801871439061,0.518355293532994,0.5472506239838751,0.5518257918707663,0.5930419636009915,0.7062798912017104,0.537635684871982,0.596865787123382,0.507414700631365,0.5230367540703748,0.6479755982688816,0.4923535143556099,0.6064111763449889,0.5367142387722429,0.7226905379238965,0.6162940231771625,0.5198857313963005,0.5027669774341778,0.5829894298668425,0.5753538267501367,0.5269380548004895,0.49836521654420596,0.699986893103043,0.4999340133340701,0.73155385843676,0.5553311348994234,0.668685217947153,0.8712681623701501,0.7296062663727715,0.8613582454501347,0.8556756958149905,0.8229076615326285,0.8557069818432396,0.8106963929826219,0.5887755109659456,0.4830518861965173,0.4766821356757741,0.4477157357656974,0.4993357326460534,0.5576196787411439,0.6558789793778512,0.8294245750562993,0.47892361102830605,0.5059995138927338,0.4386449226434982,0.482164809677483,0.40845507532232367,0.4078069659753748,0.5113613827691084,0.616434298123685,0.6053852382153636,0.7101136964097348,0.7290120074419333,0.7950635612066111,0.8542673768221565,0.8055047731813189,0.7612691102372038,0.7279737349229415,0.6700969475918264,0.8283040976968007,0.636161096664118,0.5182268780442361,0.4898115332689575,0.7196342691262603,0.8369761432539287,0.7028524842828023,0.5482162677786481,0.5687332582019081,0.511519360154859,0.5012664437375793,0.4768265988444311,0.4615876317229251,0.48565341278104907,0.5869824820879135,0.6041847164688655,0.8815104891574858,1.4368571222421305,0.9734162123554768,0.6115547907191556,0.514752039343035,0.5569038365500845,0.5010474850346415,0.5585766640378484,0.5303772471113994,0.5089854539365715,0.556816789924944,0.5710350412387972,0.6544445499115829,0.657740079776055,0.7678928551175953,0.9105958224501314,0.9485343339258582,0.8502125649274873,0.7529173441113203,0.6425773717339625,0.6375897820312872,0.6209060746449041,0.5577185413192216,0.5904554595171311,0.5688344360369382,0.6173722934089296,0.5598603430310849,0.5849598443988411,0.6752838763568,0.6890192258256278,0.7454308506778818,0.7989651982088595,0.6880818488388853,0.7071956752460984,0.8082287475546364,0.8434189124945829,1.045078023886561,0.913782546292489,1.0201609485570196,0.7745091592169848,0.8419678629706152,0.8833648228859313,0.902355370541891,1.0830133114344729,0.965604773929745,0.9188114447354863,0.9579732863717513,0.9565212614302273,1.0143957376106216,0.9817678494920797,0.8992611328150922,1.0063405989842518,1.0895130806842974,1.0041672868977236,0.9995358498739727,1.1629866805077234,1.1925549385946586,1.0994630564675645,1.1871095798697329,1.3602827706112677,1.2926573658424436,1.2804298255557152,1.463284561269382,1.3350587594907997,1.5835730430046606,1.4174432469368594,1.3638180203973191,1.4808607532952967,1.496861806722945,1.6677864135670752,1.6100191023960744,1.4997396504742024,1.520030217680459,1.3405351638759888,1.3136726034632566,1.3314349929547125,1.620783594726094,1.2587870296025123,1.3032487971277353,1.461794011159394,1.5160719843369261,1.2960659903105558,1.2844509735204128,1.5753291674041183,1.3763961270262473,1.300729034538106,1.1326498097562587,1.0285218386282873,1.0340531088342595,1.1033803163666438,1.0856817917117574,1.3402245933245793,1.065800851154773,1.0441252302743103,1.1551228264903481,1.1234418356149463,1.014266948602074,1.079911209948861,1.1737993008129468,1.174396939240563,1.1400579908220445,1.3175819886908469,1.357939583404768,1.4177139838226076,1.4019205478954861,1.536421238931827,1.4662940217430394,1.4048165491216118,1.2611309857155215,1.3355224667301027,1.417426502546121,1.2838580604712404,1.280689602425022,1.3831933246777697,1.3735716731759864,1.2546956381498757,1.4022255998860969,1.5186951952102854,1.3410084279395698,1.3803881816307404,1.4499155900527054,1.479695264188643,1.436086650067281,1.366643559095798,1.516482659599503,1.4884728022869096,1.6965521203290281,1.21298947820936,1.1298030515725057,1.0491022577761557,0.9976151470955716,1.0119152991416305,1.1126314797788008,1.0655342746283238,1.0520369861248127,0.899902600459887,0.8800686096278262,0.7563787929628902,0.7859232405081416,0.8463030074524921,0.8494105291150663,0.8282211875536944,0.8212241443057181,0.7922239443752663,0.8552665137450465,0.8062532978615372,0.6510669648031866,1.0485724842555366,1.0268900384264066,1.266442158938218,1.8937847338833502,2.8767609071218847],[0.5836478500766625,0.6490870033218844,0.9013833452396751,0.5477734835133493,0.6176794258320979,0.6584062200432657,0.5088909624418045,0.5139008869322447,0.48832298533350005,0.526389772757899,0.5096448619067376,0.5848656569226817,0.5670381198293998,0.6350517471071807,0.6868329401856937,0.6539290241876539,0.7050842139424986,0.7780582561876423,0.9804743762010215,0.8375231512277354,0.9714878560151714,1.0478784798001726,1.075029323318176,1.3799713395270516,1.0593728558007174,1.0613517789665572,0.9087814188379169,0.8152232952876356,0.7293479381956436,0.6229917104725694,0.6844165918254203,0.5887639086626075,0.5707646216306949,0.6450563218053282,0.6273739984838855,0.6686543388352613,0.6577425149156224,0.7604566666345842,0.7476018035443428,0.7930664742426871,0.9482578916549206,0.9708151143687742,1.00761120825155,1.2211792427065815,1.5137448845005017,1.7000684139095619,1.80069148162803,1.3598468703012556,1.1609910483354446,1.27126625618024,1.165409836409098,1.0629308870159655,0.9957441790346967,0.871551902884781,1.0667693672687837,0.8706978849389537,0.9127587936382685,1.0153415263011751,0.9770311070322415,1.3713393711013273,1.0660191907202692,0.9261236534384898,0.79139911944282,0.9471684334761415,0.9792247065991481,0.8598935727936338,0.9715852422349318,0.8657839496107276,1.0385859564266113,0.9057203116211916,1.0892257012786128,1.3109810183410249,1.0496606148765553,1.2117996519609635,0.7950131417171786,1.4225487610102368,0.8207310775091644,0.7517971092541796,0.7165004701924339,0.7394886906481768,0.7114232148826196,0.7500407138400991,0.7861333006521072,0.6101447835639492,0.719321758391857,0.6614341951946403,0.7051257517234301,0.7602737452643805,0.7072453636703631,0.7687170525952194,0.7172664499258878,0.9328285293966259,0.7984406560054148,0.6626214428977101,0.6375582921428986,0.6971593638960596,0.6684811709799215,0.5827902999238,0.5298531632806172,0.7023000029669425,0.5365024825067548,0.7368998621484104,0.578885263120379,0.6523938689237715,0.8208483387487869,0.6907746342080046,0.7623543608685389,0.7556060024075425,0.7098481574747073,0.7404482864453354,0.7154169402583179,0.5876644733063878,0.5262663078241467,0.5987438294990327,0.6503398125542948,0.7868900750536072,0.8740609203460451,1.0248378406998124,1.1492382159148158,0.8245205439593639,0.8562533524673877,0.7549235255549008,0.8307456030088665,0.7037808485461303,0.5845776728244021,0.6477251501996328,0.6154387985190932,0.6031132195560501,0.6633695424892491,0.6730506796677158,0.7226140842643748,0.7471884043108186,0.7442258628451678,0.699184594044662,0.7348431238245877,0.7252938566097126,0.8525352641838763,0.8009424973949653,0.8058039711714384,0.7801377491940856,1.1315861577439532,1.1964858810928038,1.030330345755149,0.864409039893731,0.8403392159818532,0.743100074357136,0.7291476636167975,0.6218004333957393,0.5370625985269387,0.5307287534051273,0.5859650033645774,0.6067982189597054,0.8870257465473315,1.4424197850668266,0.9344902420759262,0.6189631805944299,0.5347584035323573,0.5622388101330028,0.5519220496368646,0.5670900991119019,0.6026861910150955,0.6572032960239104,0.7628623170152068,0.7525373863693432,0.8371764241886838,0.8808412240459744,0.9265555733010964,1.0788483818137122,1.0590756407097242,1.035658980197912,0.8712902869163622,0.8051557810338593,0.7458681106704228,0.7064119978939883,0.6388170191013597,0.6232715232599447,0.6405864980586217,0.6558113930528484,0.6301096638189179,0.603621734170124,0.7362067092257495,0.6850488429830092,0.7343764523448514,0.7964611862356497,0.7445240651860358,0.8124095743602666,0.9561077033368371,0.979175352990431,1.2299735482186849,1.03560108205697,1.1123609831607337,0.8779344892994345,0.8985458880266534,0.8869687344343605,0.8533140666539667,0.9818262051489794,0.8740465042071133,0.7814266542281977,0.8084445989023173,0.8497530226278136,0.8797139605542492,0.8825027825109802,0.7913233471021802,0.8572217024319193,0.9821867401449271,0.9058538769289969,0.8815161161563214,1.088338859219204,1.1640409676644512,1.0928192819204574,1.205349230006533,1.3980313726196012,1.346406163467235,1.4181719265634658,1.6230845996579093,1.485986030771168,1.6728232976466113,1.4507626635408377,1.3247701176892075,1.462856937803827,1.459828633449259,1.6851853016993152,1.3223738945448364,1.3154906408728664,1.2402758923118802,1.187773209089909,1.3764009350314856,1.2299319106814863,1.5641766067989697,1.1246623372156594,1.060945649805036,1.2160231898953762,1.2195556972897696,1.057428664130337,1.1263734158998382,1.3926188123480006,1.1832752373161288,1.2268668756388734,0.9795336572739972,0.8965964228473081,0.8635712561856586,0.9627025987081668,0.9629986162634105,1.2497064808808784,0.9387602052179391,0.9251390554914957,1.067734379348244,1.0171888713847443,0.9237505408230566,1.005741407439193,1.1439364222830593,1.1645338490566555,1.1292154990038965,1.318993218442346,1.3860794600035684,1.4469044204340025,1.4505802599836433,1.5470127505336895,1.4637280355996445,1.380002875456347,1.2062392235748036,1.2359738364615864,1.393449446683686,1.2172462188936441,1.1525180765825789,1.2477075821391246,1.24799553782108,1.0874665700440291,1.2269553625173129,1.329614895132886,1.1961449482280133,1.177857717210863,1.2743913830769926,1.352897799450167,1.2730742692021317,1.1986695536514207,1.2912220165431252,1.3051119036887664,1.5655243805171954,1.162691625810377,1.071105773614496,0.9849937787834673,0.8371031009279721,0.8223370073619587,0.9470003896339682,0.8810208076710486,0.9016128475411442,0.8058363649765142,0.7605342367276743,0.6830666007354286,0.7218131495491344,0.6873771115850511,0.7432748280269307,0.7440769351564728,0.6683299067494707,0.8099410836646239,0.9138190580163733,0.7138681018352845,0.6586041619826747,1.153407119081303,1.122871393790257,1.289468193829155,1.9119506221411573,2.841628706353522],[0.6708152885039668,0.7281974834385226,1.0002155467185367,0.6997598267753644,0.6909820205202701,0.8050559507765724,0.5368512923847288,0.6008253086413228,0.609859887805525,0.38749023630544144,0.40824599068958456,0.5700386031179379,0.36320698210484664,0.3088421159730824,0.37522952648852775,0.3515915837086802,0.3929049872530673,0.4159016695224229,0.644396857285763,0.5218377742437188,0.6456940656429074,0.7592012615147792,0.798028555938324,1.1541662752054116,0.8248920091193801,0.7350071125324195,0.6017008159975931,0.44928537411839786,0.3910723730283975,0.3550969553522219,0.36398128749691333,0.4051935694074113,0.41669964885709604,0.4169852161409138,0.3721968163255136,0.3746964595298305,0.3929150383392622,0.4499335824198881,0.4447630899371153,0.5423018165207685,0.6911310665462544,0.6823310886104612,0.7227798238406323,0.9757133633734507,1.3125433180132098,1.5105784416930383,1.6908144262311557,1.159316667855696,0.9459026849154739,1.1419204219094667,1.0163200967243553,0.8939568025141642,0.8114142912142306,0.67109398039799,0.9298695416806207,0.6872846235442812,0.7184681153656828,0.804922308102082,0.7587549693577323,1.2873592436063122,0.8051633872301114,0.6425708977570409,0.49393255425202054,0.6872611393805319,0.6820646123965375,0.5644899987772866,0.7383514903671937,0.51399472571729,0.6827943722532845,0.5470534789851171,0.7342642228274427,0.9651239774538225,0.6842050347432321,0.9236457976344108,0.5204362429809701,1.1424939738239386,0.47719178581673816,0.42622996834826554,0.40995473493284124,0.4873671777036925,0.4675081406850439,0.49154480602294165,0.6099394045643739,0.43163673245871137,0.5148801533131534,0.39755158555745845,0.4351632982897502,0.5750013219136634,0.40143528264697625,0.500074880050577,0.41852474919374094,0.6725405986038383,0.5194048453983968,0.4276831255811503,0.4227975824182952,0.5202313941063622,0.5549516121372065,0.5256678926274956,0.5290472690033993,0.7363501415189116,0.4981831759922602,0.7176789032997136,0.4690312696218014,0.6184667247890081,0.699979946828362,0.5765780484862428,0.7326193051967801,0.7022283850130676,0.6487175179441298,0.6156978516946429,0.5760756387963982,0.4413478799609763,0.4489727591512287,0.3947113142068539,0.3670097041387684,0.3822758671988651,0.46911281584516923,0.6217756043039091,0.8112621680067796,0.40370929314822407,0.43149232519314146,0.34405680157503205,0.3929008037862245,0.31010058110721156,0.36018099244946217,0.41798450347159816,0.5471523277046124,0.4897193839591236,0.5721359254897811,0.55726163122593,0.6580099070885944,0.7067584197735767,0.65900924631922,0.6027125431417101,0.6043608833482815,0.5427434503145318,0.6952118985875017,0.56895534036326,0.4754700762383269,0.44501817483441325,0.7609979134065623,0.9017664314732576,0.6947275103312638,0.4963635262975335,0.5160289181659566,0.41821704075235017,0.40573038822803853,0.3907527839824924,0.41022508520051154,0.4606237803386358,0.6484122783595041,0.7005419598023225,0.9450352547530402,1.5367522966309237,1.033235679547049,0.66845444168712,0.5184137648315438,0.6025154259333958,0.42974286491245184,0.46730700902855915,0.4018198418319575,0.38478285081578806,0.4695950397693876,0.49250050559093744,0.6094381793636687,0.6716445421922018,0.7201838694641188,0.9109865516984739,0.9151499670595208,0.8158336490698348,0.672008013760904,0.5692291472947019,0.5501110391648764,0.5198654061194675,0.4337848397466246,0.45157277526596423,0.4389474873683278,0.5025976745218028,0.4467507300097177,0.4809144731672304,0.5542184462192032,0.5320001177664936,0.5939643199266404,0.6797943615200535,0.5978058581611787,0.6533659642852091,0.7568477897380462,0.8077953012534017,1.0617139688862263,0.9182640747852044,1.0192965333003159,0.7190176991958728,0.7627902037744672,0.7799970613176097,0.767726102933549,0.9513338710966792,0.8405010706852666,0.7688326513655391,0.7769438807201673,0.8171351573402325,0.8312238495633024,0.8278635687564202,0.752549776764919,0.8170566719505145,0.9265358899818934,0.8709329464937824,0.8718481365039114,1.0438732810596565,1.0995427836213205,1.0784031348074419,1.1671145233332898,1.3155623168616193,1.294333850092942,1.3930757890282561,1.5362139290681656,1.4190734909065945,1.564817249943782,1.3770953467810554,1.2413188713873247,1.3618336496756018,1.3568054337236668,1.5241206065542516,1.282176792078919,1.236744364931197,1.2064729769856244,1.0911985123348864,1.2965035391850555,1.1230711607163877,1.4484041777664889,1.0606193481735204,0.9829391581747614,1.1590775604325048,1.1563716753478153,0.9887128990627937,1.1037686145923933,1.3728297580354183,1.1390544292165912,1.2074087769701811,0.9155821025119603,0.8794954213445373,0.8080319842351232,0.9047499913283483,0.9237923115015715,1.1417114290494534,0.8696235400865735,0.8808975622211971,0.9964830344441684,0.9384462042951291,0.8742315360993866,0.9507108010462746,1.078400454680952,1.114422144847507,1.0791274909695872,1.2381710017502217,1.3105573599181812,1.3906921021997471,1.3654819832200424,1.435229058800708,1.3596514605619563,1.2710820361910975,1.1213868077393614,1.1428594778582406,1.278200676791809,1.1326938419924866,1.0729383977999047,1.1623887947689997,1.1700738657576981,1.027565117216251,1.169738758973742,1.262440354171897,1.1233459750211106,1.105076592145066,1.238660169066943,1.2918394525017014,1.1933675164814148,1.1258503577048617,1.3090816788663655,1.2690668470614874,1.4650263145815412,1.182219213294492,1.0641430752195922,1.029498691031818,0.923106361217211,0.8030811500839905,0.8973625592983573,0.7869150836908461,0.8569136499571752,0.7668351241028196,0.7173752106616406,0.5981022179215656,0.7059400316235187,0.6293646663135272,0.7421011641014764,0.7298755307483876,0.612633997870957,0.8694802467270526,0.9525694082616976,0.7497740328629025,0.745929188493714,1.2347470393783953,1.181081901807154,1.2883033065057563,1.8179271032747468,2.627538496118299],[0.7215093400455252,0.7971148883746398,1.1058011017474263,0.7994260410815702,0.8052978408524833,0.9259469271038335,0.6571568859738828,0.7062065257704458,0.6977273009426376,0.48119681830782424,0.489986621447241,0.6269550600375766,0.43216923023058423,0.3532898106038326,0.38668549134581964,0.39474951701967675,0.4156786469120208,0.39453905146326634,0.6050499889903461,0.4910451720528943,0.6263005945551761,0.7448457390755543,0.7992078683073388,1.1309154663711072,0.8195688256272512,0.706273334608499,0.5655496056121156,0.4164623684118947,0.3787684137990142,0.3850715357029146,0.38852620913238295,0.4462789614008004,0.4502202998243372,0.43822937743991847,0.41164157571558296,0.40025251837412396,0.41435861932848755,0.4473423111410799,0.4414626961428481,0.5584024121052642,0.6841960289124701,0.6620679574100586,0.7161144119866765,0.9625126713683778,1.2942944613288694,1.4796176322740282,1.6767968065696204,1.137696465011864,0.9284505111458641,1.1302594788234046,1.0094034940596452,0.8950634907037195,0.8204973408625803,0.6729575367904744,0.938924885024349,0.7038774019850031,0.7300238482474559,0.8236983371860275,0.7604858052184704,1.3122929693089285,0.8153073660258975,0.648847247204885,0.4868633668322465,0.679924741484837,0.6740027469638961,0.5638128964891224,0.7415727653413838,0.4740896381826817,0.6382361690627129,0.5259799165891716,0.6915586963727594,0.9338380406207472,0.6417687302209164,0.8758701050287834,0.497767510334386,1.1023216454389895,0.4665534651871137,0.43075505725693647,0.43230792226941867,0.50597488859776,0.4781960015244995,0.5104402558617536,0.6231857268752674,0.4781219683865433,0.5415002995392247,0.43428314113123895,0.44168263353563025,0.5658495441106278,0.4207532752382568,0.47721199172587775,0.41123007945134327,0.6674077976009712,0.5309102123917171,0.4451887301526804,0.4491727920003207,0.5387219936192016,0.5923070537978468,0.5598120950839387,0.586957036241112,0.7740873081782517,0.552162125846175,0.7662647411819492,0.5374071765611814,0.6893861994289293,0.735807874142901,0.6512025800583612,0.8321745576969091,0.8342077572690773,0.777197501679585,0.714308223779016,0.6878564681488802,0.5474310824935699,0.5594325170713674,0.45708907783865116,0.4067446047433972,0.35712565238722777,0.42198001011618474,0.5649148092292832,0.7762045017655825,0.3601923242210826,0.3982087518238279,0.3592511419308423,0.3761600442375148,0.3456346005766368,0.45107093545525756,0.47267088394488227,0.6705793067110304,0.5956226556517369,0.6681707368172809,0.6205037583724013,0.7502637890295912,0.7990148202419406,0.7214039096163237,0.6649469674039523,0.6426830907754889,0.5710368650411313,0.7256080618968698,0.560099070329611,0.4421148854867355,0.41987097775583343,0.7059028555727072,0.854781514175529,0.6198191155603189,0.44440880078031364,0.48934702093557164,0.3971998047591292,0.3944628360399573,0.41647385988321106,0.4877415244691613,0.5371691341572723,0.7341317110078255,0.7707549669541005,0.9687850643623043,1.5427573525396752,1.0535822491755078,0.7293206663773852,0.5913305002411093,0.6886140798855058,0.4902687061823728,0.534832206874446,0.44559430382676773,0.4119133458647212,0.45207167812642884,0.4899656562762927,0.6039582087123103,0.6470511764230829,0.7057300976498576,0.8918310114259922,0.9000188411565944,0.7858655767047038,0.6601737263413665,0.5612985220587791,0.5626290252679451,0.5487590369294156,0.4723729561068603,0.5020000974315467,0.49885178333185337,0.5326243668852725,0.49657099499062596,0.5535861850621091,0.5810660899107358,0.5712217136436859,0.6373684793708555,0.7164350661210578,0.6171913735445161,0.6573264591446293,0.7674109652474708,0.8159949517242499,1.0438968068737118,0.9185390394890045,1.021364449594875,0.7219939800761483,0.7670955405196803,0.801594470271552,0.8180531642683615,1.0202489755552984,0.9416538358304392,0.904700399196152,0.9139826530939806,0.9487868379875312,0.9695156007571376,0.953164658248303,0.8928048186235914,0.9558727886121449,1.0506210109611778,0.9997811696490525,1.0328156847925591,1.1685847930509832,1.192953025110287,1.192961426216299,1.2942189459268176,1.3851950244985223,1.3355539911273144,1.466012407648565,1.6125956422370313,1.5609599783989014,1.6303122843191904,1.5112287921239569,1.3523837659600093,1.4229317191621171,1.4018119738690735,1.5415606120432486,1.3461227786921333,1.285489538563413,1.2790317757262228,1.1860789199935768,1.4019497456925871,1.2056667254739326,1.5149734662983532,1.1850992203185993,1.022793020529255,1.1817653240704495,1.1647861555754677,1.0331704213657988,1.235582712573662,1.4356143497492224,1.214082318906936,1.3285305019237288,1.0203351325518373,1.0498147499785326,0.9310944136072965,1.0200752258237535,1.0219637852237644,1.20597869917254,0.9700761281354416,0.9976864856091189,1.0716319198915674,1.0211278697253947,0.9774695045293714,1.0689421107397286,1.1585002832182307,1.1939582659220216,1.1766304467021926,1.2950610098116369,1.3401217282043496,1.4311516245153153,1.4029059229470253,1.4489919664855373,1.4049342582821998,1.3219088483781487,1.2044107013797265,1.2001605519932526,1.334451154669411,1.2265036439947072,1.1617438710929993,1.2304487492381795,1.248215549327292,1.128345630545485,1.2523813784486635,1.3243310972033666,1.2222523619350967,1.190056206662717,1.3136739776389783,1.3970248550956659,1.276877156115191,1.2404085952622503,1.3954251102244033,1.4919015462480436,1.5522915059478528,1.4399876082219585,1.283690469464522,1.246438523213623,1.277674806305304,1.049964804078047,1.0829066523549187,0.8573030792033678,0.9880328136813697,0.8811621420003736,0.8554325726232004,0.705785400668767,0.8509254278297962,0.7974695046448057,0.9350268770956296,0.8644481894049164,0.7721081020585424,1.0688523068789249,1.0755922528664963,0.8934994700853822,0.8877632714751389,1.3259784153022651,1.2383704114847254,1.1899500396289524,1.6411155281536849,2.39152184688655],[0.6362609852912389,0.6683493081494488,0.9293614504935428,0.7367049158643546,0.7627658997092575,0.8174888089008686,0.5988964005846651,0.6242841519358935,0.6221462935092906,0.4449840406093297,0.46003677308895113,0.5787103149623815,0.39861108506471254,0.3509910979271862,0.4144672369053497,0.40569247594747604,0.43023310431288586,0.4330738213409602,0.6367819954458773,0.5341835611946463,0.6398888289707806,0.7336865140382657,0.8387021774609404,1.1537867939477306,0.838056543577325,0.727262795426328,0.5830993674043233,0.4454001414016888,0.4228412353204367,0.3842790494083759,0.4154238522059398,0.4203176280453597,0.431572214578096,0.4338887734032,0.39535721058926887,0.41190519831843686,0.40308581582687986,0.4835063742371447,0.4751162845480196,0.5750541545219006,0.6869970573996748,0.6625559709415965,0.6938007769205969,0.93398268766348,1.2780497941755817,1.465497808581149,1.691809553191254,1.1516156211557054,0.9274530663987116,1.1443205380497359,0.9942238103992727,0.8972172161975438,0.825642319735307,0.6842110141330149,0.9461205166697813,0.6928426815511189,0.7044028196789373,0.8100454344918718,0.7435369281989702,1.2778052213337623,0.7767877760076172,0.6387978943063961,0.5376808305047829,0.7253983810916218,0.6853128936345092,0.5848329459308499,0.7801149645349935,0.5146513014576506,0.6660922986903137,0.5856375933985648,0.6896537982047797,0.9548025172485065,0.6926886807349608,0.9200848224659224,0.5610934156703714,1.1745253415423291,0.49170558199165254,0.45376763684680904,0.4292593542435455,0.5525354412878698,0.48318982395987814,0.5324426439251175,0.5901176547696205,0.46185888849063494,0.5556944145039527,0.45397691711848315,0.46076894005001096,0.6381529791185758,0.4439627228869677,0.485452464325854,0.46257080723720073,0.7727461765742363,0.6074618579860745,0.47844622046125646,0.4531493348479257,0.5479422294406252,0.5525710389610725,0.507674270171749,0.522598042456996,0.6760849871285194,0.4986109561523832,0.688151664936028,0.48920841790599356,0.6094492509554938,0.6428106885414452,0.6145653058846237,0.736085005528967,0.7542859889076826,0.7020201594599929,0.6516864381981817,0.637832773989232,0.535646481537635,0.5274346246465021,0.4474338856955645,0.38849431736632306,0.38759613451978253,0.4499048132854511,0.5816063302725917,0.8223862903775585,0.4123510893411159,0.44396637834492286,0.38007832954424986,0.3910206392179067,0.3611342143640124,0.43965889629004334,0.47990551683772437,0.601598372366463,0.5514901553524701,0.6175056179895205,0.5921660275033376,0.6990586135094221,0.7390730782002148,0.7001478968635464,0.6281773270793419,0.6274066797272502,0.5721930747795633,0.7336719307724031,0.5760904643179773,0.46395582003450486,0.432942698939461,0.6554325534446007,0.8454398834914539,0.6670124444374143,0.4732858192516711,0.5000560484176572,0.4353531358703029,0.42320841827838707,0.43760478510394196,0.4622974132526368,0.49833461968552467,0.6622229532241045,0.68136241394929,0.8380956989900343,1.433992429587016,1.0121032020759524,0.6319595742325231,0.5169440680688255,0.6049047182847161,0.46360549050977895,0.4939496608874431,0.4648491413658522,0.4494828719631929,0.48395455581274904,0.5143920209028117,0.6048481452525598,0.6007374767953904,0.6539242643588411,0.8098826696215337,0.8438462898153893,0.7408737584204506,0.6444359233302797,0.5632779090402555,0.5623915032056126,0.5332882198025242,0.47174065782506674,0.4774244952705693,0.5033423738365387,0.5354992206845711,0.4904065205236321,0.5306599056964322,0.5770877478602154,0.5293280453849588,0.5996164725620294,0.6751612511750068,0.6090652318507972,0.6675531348486203,0.7765605905353682,0.8034040821827446,1.0320146651331266,0.8855386135304338,0.9960009798746036,0.7101293529165084,0.7359733425053258,0.7731922836336212,0.7936458388123759,1.0003102064742073,0.9345401117929989,0.8572170014945161,0.8270091739966093,0.8680210499119367,0.8076014315729879,0.7719691641671911,0.7508246061812613,0.7767702396389774,0.8251867030449236,0.7805973019828354,0.843620031552534,0.9225778376305119,0.9144543588289633,0.9285380377309431,1.0135768857169338,1.0778154318191546,1.051409263460812,1.1632151945235503,1.2918950192768468,1.2643306834277634,1.3308253032109496,1.2487842145107946,1.087797800668347,1.1308939392284691,1.1279910349076359,1.3341157631129805,1.1299408564654498,1.1103215070618457,1.140595328679404,0.9824021420526421,1.2195291306285372,1.0325229974083496,1.2952990261617794,0.9904847580072201,0.8531055603541271,0.9755952135503977,0.991059450365578,0.8831729394878499,1.1743108737437757,1.3102821265864981,1.096057276460341,1.3084710236362884,0.8953297659926782,0.9619472971474538,0.8104342889903952,0.8495479323628466,0.8812021574574436,0.999083275407158,0.8618720504389799,0.8468050453847433,0.8412295008186188,0.8284495266510443,0.8018372897530064,0.8418958841682305,0.912210154990103,0.9729358663954262,0.9328459819027823,1.0063818650517045,1.052157510791387,1.1722274293494495,1.1013991947175652,1.138026645178518,1.0915963146343537,1.0219238640769195,0.9392460704839964,0.9269020747724791,1.0361241143186732,0.9526934962703516,0.9113401913027893,0.9744195558692574,0.9908601427341976,0.9090496815894824,1.0328928221213483,1.1183824972455425,1.0372946101256808,1.0633097760817343,1.1703630324738201,1.2791168214501811,1.1619255163651148,1.0974953489928774,1.3034834575763292,1.4328546981591888,1.3677341834511862,1.234157862990089,1.0634973042413611,1.0171019287329746,1.1021004882825896,0.9231028826761776,1.0044604324103503,0.788756611518281,0.8576041844825651,0.7909851699899091,0.7701343133802739,0.6506828079600769,0.7220535174324105,0.6738032777815792,0.7450841380665181,0.771446529356655,0.7516174804937643,0.8420892600426362,0.9218343731893126,0.9786662359774231,0.7407674654123042,1.209201495791815,1.063157580799351,1.2704186707151006,1.522373124899813,2.1147424512732917],[0.6331435347834428,0.6324750267929491,0.8555890936550177,0.5676474365987609,0.5629606394665515,0.6434440603641539,0.39924481812644386,0.41945291682883085,0.43547332506940384,0.33773958098675383,0.3420859726332927,0.4265025591830029,0.3740358474744804,0.41890933881555864,0.5735096007047301,0.5321697858143523,0.6156151171918689,0.7319360734147636,1.0269591486426621,0.897673182636717,1.0547075250913829,1.1628169328190414,1.2233641589008826,1.5562406257198382,1.194503551901718,1.113179762642522,0.9935822887124135,0.797292387856201,0.7113939131129305,0.561310067409461,0.6276184154552136,0.49643928409604415,0.4994578781650375,0.6118567369804601,0.5952564996011863,0.6704349267325246,0.6411063627086055,0.8362123833565855,0.8209711915725092,0.946388944748779,1.0856098085627581,1.088910576245619,1.1784326353873364,1.3873541498523296,1.7095037440723806,1.8049333190430887,2.003877115191137,1.579285730717133,1.328213526089386,1.534073565901228,1.3642731604091578,1.2872051096085484,1.2345907023520324,1.0282553009764381,1.141471735147176,1.099982786061298,1.0965820329034301,1.198798360985442,1.1012804508697571,1.5722375817151872,1.1879450617346574,1.0455594365032883,0.90844849170768,1.1009240110419911,1.110594939272066,0.9652943138813502,1.06795755480301,0.8738368130502918,0.995866924714367,0.8556290699388692,0.9763945436612624,1.209328023952847,0.9729881799170452,1.2184722441117388,0.8385748583521464,1.5277632758358317,0.8909878323447598,0.8133896456627338,0.7684420117600097,0.8713671427819079,0.7669525037824848,0.8608550513351002,0.758570995893102,0.6381021125119956,0.8324047232961671,0.7315930128418581,0.7690315297310392,0.8307032641759938,0.7665477743480124,0.7581007062010641,0.7249786573788606,1.0308333464523969,0.8428130511027211,0.6227651679344655,0.5531215492744449,0.6256557515946475,0.5808911550078482,0.47734521556104986,0.408870262209107,0.5172376090815174,0.40895207565145514,0.5574343240484547,0.43015985835430265,0.48723422659998006,0.8109813156781498,0.568274673686537,0.6950224636300333,0.7121952990628025,0.6373857585555573,0.6251663406118655,0.6129918882844673,0.48228592088942485,0.38355289506434115,0.4319519139808232,0.46392627572100115,0.5992945112302531,0.7587192838790117,0.9822167055832265,1.2168623374115066,0.7697088469357041,0.7484823155282309,0.5917088195855142,0.6261297492780089,0.4672431889671551,0.3535328125809699,0.4132946264233013,0.4732626335435481,0.4976752346500154,0.57180445843382,0.600423070751141,0.6953272756143531,0.7167809470298152,0.7750795174215156,0.7078720309463125,0.7285720253277196,0.6664806512611137,0.7803187389229556,0.7417570420374772,0.7041245093090486,0.7081315261592355,1.1070228850343493,1.3121625906347283,1.0550154050489022,0.8387896766883773,0.8556649832891902,0.7255514601635926,0.6656711860237953,0.5306103467239836,0.4286471660991388,0.3724512948997949,0.47998537343354347,0.4609276042513954,0.6746506492084939,1.2846990022915927,0.8702252158314724,0.4237080393507663,0.3649755381177906,0.4195034064730322,0.39895742303772214,0.4305957407796825,0.5367288296712456,0.6606001914599503,0.7708734938977808,0.817303656102847,0.9090927384420806,0.8911649280062435,0.9562538720526433,1.135600738604764,1.0792584183650342,0.9982492942291246,0.8545317183073631,0.7846553692594637,0.7665106228338276,0.7044495403837688,0.6448631913843418,0.5857763372023432,0.5948418259828008,0.6015521398026783,0.6724471892285356,0.6252431842069717,0.7892086656899544,0.6443002523636309,0.7677939985465432,0.8870239449531727,0.8423405597054677,0.9650686242605184,1.1238859673379116,1.1800173837794625,1.3984007829774447,1.2147320016842298,1.286150973476904,0.989952197979043,0.9888643564037879,0.9820746341744918,0.9478512933065496,1.1256306773407057,0.9746385115870868,0.8488490358343218,0.8086739475126993,0.7984570284229242,0.8076570580878857,0.7335112734843768,0.6840936929642581,0.7802151958665057,0.8535577424351406,0.758049255435354,0.8411665062069271,1.0020772826563569,0.9778669143023041,0.9723882285840265,1.132931792432566,1.2332769235686878,1.1286643351675232,1.289386905777858,1.5287108818236244,1.5043818949491814,1.5908689342709965,1.577400074746861,1.3185540636181585,1.387923659407017,1.402973791773702,1.5926757697960157,1.3927937283783431,1.204225240529053,1.225534980878492,1.0679692334768318,1.2197921525163031,1.0851693085674539,1.4549153342630556,1.1023030026022052,0.903723639022682,1.1096342216576194,1.090771927596651,0.9654755279195795,1.2655951015938027,1.4010570156709983,1.1917637695317191,1.3000289086390842,0.9138958692477225,0.9561219512741364,0.8115081524967137,0.8567103173528688,0.8444961488604423,0.9870616103589172,0.805102519917958,0.798435968607993,0.8629769332497558,0.7899777570001938,0.7555362110166881,0.8176423876657757,0.8966851899168387,0.9355197936804386,0.9262706817969265,1.0630008519093226,1.103749082250815,1.221516756192775,1.2069461232137058,1.2683989302149143,1.2349420709951482,1.1368980098309176,0.9992955015919086,1.0383082916063753,1.2082911218827628,1.0745583141379496,1.0266925289247633,1.1590496626068583,1.180479172951467,1.0281401123454885,1.224127227682127,1.3403026425083968,1.2226920465531799,1.1782714241066148,1.4276486326808213,1.5650228754246993,1.392340972666424,1.3236916234453198,1.6417337165773962,1.7711066879405357,1.7015824181920225,1.504693895150809,1.2334584394484243,1.1039949186699012,1.2656872808454929,1.037773849001183,1.1645456857539966,0.828400554591022,0.8864259061561818,0.7079903910278952,0.7175439199054342,0.5831785700759544,0.6221605446194696,0.5987725853055096,0.6851631217546631,0.657490945264649,0.682712369975546,0.7980612189033953,0.8324933298362569,0.9339195021716158,0.6622087636131622,1.1655368735272948,1.0131463305135553,1.122350045790175,1.37842504748374,2.0668740000531343],[0.5307572893530288,0.4897410860044934,0.6037974882022074,0.40389670581837095,0.460455330929915,0.45855268382965,0.4322386721390902,0.4473473282457368,0.4642003808479104,0.55832274121809,0.5615789985802996,0.592659774757737,0.6655704306358037,0.7186685708420882,0.8823753163820703,0.848340983847901,0.9110845597156526,1.0361369720637923,1.2973962559732304,1.18104761902823,1.285403970439415,1.368670429141771,1.4298588588198577,1.7336256788214053,1.3722675305001597,1.327296307972053,1.2515339537885843,1.087158804115072,1.0237778178774306,0.8893284322039084,0.9408195324134164,0.8215825665333392,0.8318566710590256,0.9338088676837276,0.9251825788618023,0.9909023919107476,0.9787993308874733,1.131872918936961,1.1126483412350117,1.2100094715297598,1.3172730790201044,1.32834496554817,1.4070715878440052,1.5844522371269507,1.8541149138145645,1.9144724227614247,2.1198455729664576,1.7666737769570577,1.5256134508404058,1.7122174799651633,1.548168680880058,1.4930846760532355,1.4495440231550474,1.2588852046651176,1.3330638440511107,1.3177417944236942,1.3118025045526445,1.4302363424433793,1.3280790875675976,1.7181391064079299,1.3906748985388195,1.2834041384314911,1.1764614430491482,1.3158823374880548,1.3261201920844379,1.2144709395581712,1.2824886625757754,1.1593962572181742,1.24034612672794,1.1233066826800284,1.2133135882813844,1.4052222533298269,1.2225628009640033,1.447787334230109,1.1140435074064694,1.7868008961080004,1.1872049240422708,1.1223074461707079,1.0684652766183298,1.143061072465583,1.061953798648781,1.1555569861453583,1.0380128144438296,0.9174075312692161,1.1067121003759814,1.0385946420355159,1.062053634301599,1.150890177490887,1.077422188224108,1.0784470482046185,1.0399770130195765,1.2984195287371676,1.131747646518859,0.9245271015901322,0.8452980503359366,0.8848857451255145,0.8122573444947595,0.7418689974957695,0.6483500353961685,0.6508070642395478,0.6901291473273922,0.7308224551406866,0.7074198457370198,0.6639660284134726,1.0464147025369412,0.7819163416329208,0.7718663770769078,0.7569527378283192,0.7227203535248747,0.8119228683131715,0.7796439822451473,0.708866380342828,0.5778333872946713,0.6946593990705834,0.7470526450795172,0.891691172860462,1.0472205588680865,1.2422013851636253,1.4520724287872722,1.0591123237679945,1.0183410087953995,0.8770171661595622,0.9013229476315411,0.7302036712832481,0.5746952716098974,0.6418760334753406,0.540605213544581,0.6520878680052244,0.6853556541517625,0.8039545933221712,0.7577792665154319,0.7726604981622892,0.8932994756812229,0.8739999911080443,0.8913346921589288,0.8739895817273381,0.9143308541345361,0.9672042207813558,0.9536920042437824,0.9518370331872475,1.285982881625245,1.5121307054969544,1.3093694603358428,1.1080730136478927,1.1095589458621125,1.021946619286584,0.9554087825086273,0.8329448265297377,0.6985184006191419,0.6036655706030568,0.5582247940062551,0.47966996429502584,0.6478783569808028,1.1628104863038713,0.9395023739792105,0.5393006292344016,0.5882114393421837,0.5661821742575329,0.6877141890048127,0.6953829531579698,0.8296125167518397,0.9659059785622578,1.0379426275287829,1.076512717022661,1.1145261746316832,1.05649370020529,1.1125248136715375,1.234613345868083,1.1753042098013695,1.134211646653877,1.0233366623197049,1.0057026591648643,1.0007534064448949,0.956014957867187,0.9262476907130045,0.8767566898045751,0.8869557787526745,0.9008838483410269,0.962784468929004,0.8879811376345391,1.0312591263067097,0.8905273658616214,0.9778147480641479,1.050915489110117,1.0348668039368807,1.1652213079056257,1.3396116684544213,1.3499314765660508,1.5633676798260452,1.3577446677837663,1.4036463572044282,1.1397040839543453,1.1215816999680548,1.1021633339408112,1.042620639590345,1.169246558372074,0.9903383199324968,0.8165673548012886,0.7290881459011096,0.7411410270254505,0.6361224819257841,0.5803410564575188,0.59117911335407,0.5850659629386624,0.596032094592152,0.561165960675361,0.6047020494761843,0.7111173134007098,0.6540916875429124,0.6898276072716424,0.835588463392475,0.9113691420480725,0.8484830400660409,0.9755610110321669,1.2103040122467226,1.196199970586877,1.2637040782646056,1.2737832136892688,1.003115685729621,1.0417338074667346,1.0604689663397364,1.2995564862562925,1.0993034805521995,1.0061887854793303,1.09177006722074,0.813210650144339,0.9576385795971454,0.8694022432738855,1.1542886133200818,0.8380438496013326,0.7886111929327491,0.9336854790697477,0.9356253959832395,0.8195757095737431,1.118649380450234,1.2223886845253729,1.034388836810088,1.1892056001130518,0.7585505315995186,0.8964169099942789,0.7372061134811224,0.7056999795032888,0.7571210680527451,0.8009840601244665,0.7893522975370995,0.7036012847436696,0.643138464197028,0.681388043550372,0.6871367792875789,0.5957477514294901,0.6340588307768709,0.71308059258705,0.6584779755908454,0.7243634939354465,0.7754445015544347,0.9480344938499382,0.8738845439260519,0.9236637838286882,0.8858809797255195,0.784099373277121,0.6709022658427383,0.7400042710878759,0.8556984971460789,0.7511654444376181,0.7208940565804944,0.8433570047533521,0.871458065870892,0.7551044028367002,0.9290432793409179,1.0814166480986602,0.9646103402300793,0.9513449322470304,1.188095248569156,1.3601057166979822,1.179827148186731,1.098470356071867,1.493131303149473,1.6308127576136238,1.462363754035079,1.2634468700128039,0.9738904300569101,0.8719367604876523,1.0766951975292613,0.8570920115606552,0.9983754588501306,0.691951393119831,0.6865079059817142,0.6227738159550907,0.6571133403028958,0.6366578600324927,0.5464446066918645,0.6579493759571737,0.6129628377905769,0.793191766518975,0.876836420670076,0.6077537675822043,0.8550170545908394,1.2174044855631678,0.6161320468871957,1.0725108998030324,0.9535250414239006,1.5431745325820883,1.6835014961207135,2.0673808475069664],[0.5168736880257917,0.4726395328358735,0.5167343223372354,0.35513928177800674,0.43389190672533123,0.4250164301826582,0.36775382732083306,0.3826154635681135,0.38225467877676617,0.383344861645888,0.38261224507703234,0.45707653538428006,0.43558465501038085,0.4517558098857548,0.5891175477608295,0.5646928484761965,0.596749010314026,0.6588676873955956,0.8680339822055229,0.7618129084064229,0.8397664652746523,0.9324756697615667,0.9958733467256469,1.2961727894009714,0.9713837507263596,0.8973798985993328,0.8324032176516367,0.6927591466651838,0.6660784932160682,0.5770616791517472,0.6124387841419894,0.5456850335741027,0.5553219740205894,0.6118306702726225,0.5976963158356199,0.6343008958645955,0.6611834004871068,0.7556185128803594,0.7382167595169017,0.8479428036646857,0.92880989458589,0.9077408899195444,0.9693659510435199,1.1741683733908883,1.4635173553905951,1.597999412993766,1.8190696114506617,1.3673432253426927,1.1438321318671711,1.3391025653159567,1.1967289992458237,1.1321628081705817,1.0726238159990371,0.9105489548673242,1.0745913214151173,0.9141017044202552,0.9024826429529701,1.0726957112060531,0.9483054366661753,1.392806481063979,0.9715885160413846,0.8479900538577656,0.7572870073514176,0.8957330729304775,0.8850610674696939,0.7928297212318489,0.8995508801066527,0.7395668283631355,0.8429559466237827,0.7610072438328406,0.845254712407339,1.0699106301723225,0.8493755490691558,1.0769824065583056,0.7311740010604802,1.408858435146169,0.7579789772603224,0.7194245806715301,0.6771547526130518,0.7639826301588878,0.7160485520500585,0.8100041837544586,0.7737830166055792,0.6406940768587744,0.8032569029982559,0.7140085047432465,0.6926977990826911,0.8437896828980356,0.6960311939761002,0.7253193371950285,0.6719089466249553,0.9659844616633269,0.8052904134891118,0.6244415867589682,0.5645957038582594,0.6330261273215342,0.5984875634859732,0.5199577668636173,0.46028166004042204,0.5351438790614257,0.4954177152583101,0.6231478725105679,0.5251131489648291,0.5490099691594944,0.9072847814177583,0.6859173201207205,0.7182484124559334,0.7052755323010214,0.692474371008172,0.7754426057521829,0.7430954005473098,0.5985374371691987,0.4548715098756129,0.5069027615258023,0.5006942810622006,0.5899969522950067,0.6867080159627572,0.8204294697128388,1.0193412809319498,0.6472610230020582,0.6318225374279686,0.5491774726404421,0.5686647246080576,0.4763445513614091,0.40504558717639993,0.48939581907483365,0.4772813423939134,0.563735033986981,0.6194953840538613,0.7024951247525123,0.6868291870227506,0.7070563232516361,0.7685360603068098,0.7419420162684209,0.7403898201634073,0.708231821273574,0.8160032231219709,0.7702281852328369,0.6732501554972825,0.6304130992833886,0.8614315344228541,1.0387120685569406,0.8814343388832535,0.7198133024337574,0.7420882500831321,0.67973344640717,0.6453322441076549,0.5786273198331094,0.5056824286522873,0.45097602444050183,0.4819482370111737,0.4083882177775634,0.6026532330667922,1.121074502040371,0.8607602118415162,0.4363098830592567,0.43716838261437013,0.458021405905694,0.4945780053729385,0.5365950976361472,0.6180719452547482,0.6791266756794145,0.7296997923272803,0.7609077477406329,0.8108885610104071,0.7623457318607011,0.8440482452043266,0.9549588980198254,0.9774051868439758,0.899732076220319,0.8172265337178104,0.7588749742596178,0.7518034683676695,0.7211596874480024,0.6763306016778335,0.6610525749661372,0.6597085647494233,0.685378043970386,0.7018917884518648,0.6711983170470214,0.7855789603140376,0.7116995158113546,0.7905558252178649,0.8456606898767255,0.8014427954246515,0.8783791770247453,1.0174795045053635,1.0209934330598176,1.2171589375752414,1.048929708319173,1.1280221256016638,0.8739272916356681,0.8951233830630579,0.9215309934851563,0.8943922987717481,1.0438881037391248,0.907553525747715,0.7664417086163993,0.6975776739324951,0.7298799493088037,0.6105843550734701,0.578491171328785,0.593907556313106,0.5648744750484551,0.5629903234046905,0.5681371378825822,0.5492361923005087,0.6144606798623292,0.5648151605385189,0.606841677608044,0.6965365800202896,0.7380887150919102,0.7246589595671651,0.7923999360022848,0.9705478180991378,0.9747819977422496,1.0248846832879297,1.0077651447582625,0.8030159380328783,0.8067595729687095,0.8205369522689885,1.076448255074129,0.930177476781755,1.0068511556011672,1.1016239456567787,0.7449406240882722,0.8833078832763073,0.8150905386918109,0.9907115424689094,0.7258215824293143,0.7716009811939322,0.8674926134263281,0.8862725256288134,0.7661742054550538,1.0269244521864265,1.104799764917263,0.9580228381461148,1.129705930679993,0.7092433628189926,0.8778161738972431,0.7263293242423183,0.7017954604852672,0.7902644133309158,0.803045838747647,0.8255643535977343,0.7315882468638589,0.6438274164578974,0.7196799763450177,0.7262215593934556,0.6043186973387301,0.6241897064711945,0.7030146795406599,0.6197201886665485,0.6359368836741965,0.6911626648646073,0.8862127167122911,0.735513973981659,0.7646335647292052,0.7252335522823364,0.6516901275925137,0.5898301937113961,0.6640728578204924,0.6791084270315931,0.6284455693097105,0.6267061342587343,0.6888958643128144,0.7127885382572576,0.6576150871186178,0.7613002377377762,0.9209107657915204,0.8074848235978588,0.829316382780538,0.9898811523042234,1.1463864587603865,0.9918403256805226,0.9227704629325514,1.3208642696381958,1.4734787284460664,1.2180839991876982,1.0685681092682011,0.8184898981161671,0.7581495039850877,0.9656159839979905,0.7527379432207311,0.8744361863221294,0.6456333857430301,0.6179804291318983,0.6111341603945721,0.6403661442431099,0.6171378665107162,0.548091418251442,0.6794247830037845,0.6468843563544804,0.8190176991907634,0.901607130586815,0.5996019359054737,0.8737098996703628,1.2291211847181926,0.6121378919486365,1.0220986737383462,0.9344492117107405,1.5970266710430048,1.7371788221800708,2.0776772539243042],[0.5016853461214772,0.45182480371595424,0.6126387496750751,0.3735725653639417,0.4766806259704737,0.5207710100739584,0.3938930226956056,0.4168546584202889,0.4272428739660056,0.4019492166053566,0.39218776252451504,0.46185515270217875,0.4490170505807767,0.4495261157685991,0.5782680443260488,0.5709242275668086,0.629986306936244,0.6940212388458549,0.9109948665196322,0.8117065180592664,0.9226759843853426,1.0266753920091418,1.093378911075663,1.3494047132872662,1.0682070183797185,0.9715821380916587,0.9046477491858634,0.7506947456979371,0.7020110384738006,0.600285116154984,0.6344413231528087,0.5566094741825229,0.5493507750413413,0.6417592403206964,0.6327203885641809,0.668657783681655,0.6843653803537624,0.8116072887800238,0.7947025896668054,0.9377283116737087,1.0101379488344666,0.9832557413421408,1.0806334205587256,1.2755044260769608,1.569731192651818,1.6841956127326287,1.8822114028779777,1.4520536187033612,1.2352837828060899,1.4313871262068103,1.3037173889491371,1.2205563928567593,1.182028664858419,0.9868794364716269,1.1410369127018982,1.0355394084532625,1.0182715482010383,1.1596940950771255,1.0370051836237686,1.4903069880865432,1.0903083872493848,0.9516844692708419,0.8275883788734416,0.9741613075905464,0.9804795878089831,0.8763729139395411,0.9661919510104753,0.7875295681408344,0.8852423354878703,0.7749658167809894,0.8916526125260029,1.1067770043586385,0.8618686325589955,1.0938431896422316,0.7792555155754982,1.412527258076805,0.8231621512208338,0.7729402080391374,0.7384711539400757,0.8326105294380934,0.7880893295039867,0.87586100974381,0.8074554331273592,0.6909081286438256,0.8651303088392553,0.7749229107427842,0.753301861643125,0.8470790858304047,0.7501118343418658,0.7738879499452385,0.6999504749064516,0.9806405472543238,0.8200373146428741,0.636023411691896,0.5778044162412843,0.6395502198989178,0.6142906555374632,0.5237821419256019,0.4530110362919345,0.51386400566308,0.46946769768626667,0.6263024070788642,0.5409781801675765,0.5911496499657924,0.9377384088229787,0.6830763847817243,0.7403025632713491,0.7514704722588126,0.6977625661943243,0.7234076532611149,0.7205190339379578,0.5844835537836722,0.4538183262900749,0.5054602773442595,0.5180559782494052,0.6115603026459846,0.7306535689709236,0.877571663828786,1.0770803272809097,0.6992777034014331,0.6762069995412,0.5860218480786943,0.6046828603256204,0.5050943066827471,0.41579396268667096,0.4754484587604969,0.5180158860852023,0.5825808356170277,0.6512763588493432,0.7070967811206166,0.7485705531807167,0.7687115902262457,0.8408387562730436,0.8043336413456128,0.8056936853816816,0.7398644152059404,0.842580277703702,0.7883986596995273,0.7141587187124723,0.6969450836436699,0.9869821175477824,1.129589793073604,0.9243726089218114,0.779492224453943,0.8086698155571945,0.7230833587379587,0.6858310461500647,0.5864715540972073,0.5165516447291743,0.4403504348506361,0.4781049226228705,0.415650762775263,0.6381833904678307,1.1369191642694014,0.7908695721942968,0.42949186239744513,0.43303680860916555,0.4709675144980994,0.4981782589638157,0.5397430422966327,0.6263601807392863,0.7049873071904692,0.7876494129111541,0.8315371583207899,0.9114234145633425,0.8467243073803997,0.9602650445606542,1.0926361981547708,1.0710932174409367,1.0009971830686861,0.8976122520444388,0.8243081945253709,0.8189436044485999,0.7812234763319758,0.7257063336264818,0.6918775836504315,0.6760223539214968,0.6859665871618855,0.7523602600243118,0.7229749325434637,0.8564770318502952,0.7573932637039744,0.86235674922287,0.9394268177189654,0.8898148795362854,0.9728077860146802,1.124570976467207,1.148799420063903,1.3095243665105984,1.1668417417379957,1.2455730342740055,0.9898493350337628,0.99030005510349,1.0023974623717562,0.9840579339223658,1.1628499651840558,1.0111224756632302,0.8715667038823192,0.7999502816002513,0.7919705431112778,0.7268503674010239,0.6620865936608554,0.6547773805659394,0.6706535345090144,0.684642639567186,0.6283364919016073,0.6821287158049195,0.7727743824422324,0.7092750617480277,0.723442873560439,0.8592440315684436,0.9122252342052248,0.8148662096424606,0.9666554566181818,1.1834455754780557,1.2093324439644038,1.2364761563165756,1.2851536810131095,1.023897521707184,1.0418879290344747,1.0690217812253175,1.2990026747060728,1.1596821778837927,1.0625320827965286,1.128300280901188,0.8858703249217835,1.0167272761738864,0.9481694053880628,1.2520344839686983,0.9514784386003469,0.8552761237290594,1.0192878801489065,0.9965036575474652,0.8933287518014046,1.2015221952483905,1.2738501478205406,1.0965238059108673,1.2553774067319936,0.8453210181863224,0.9655136558725342,0.8018211480260191,0.7773274982384906,0.8123353617573953,0.8785146390504505,0.8032445168939382,0.7579420591472289,0.7448998273162836,0.7156483050443535,0.7135423044701572,0.6553720407707732,0.6796406477251661,0.7316152494658956,0.6948904231831943,0.7705114141263545,0.7897583836168496,0.9436728319094803,0.8708200237719105,0.9114447589590841,0.8980740276185365,0.832058229532605,0.751488431238603,0.8240473214810073,0.8937168696271962,0.8151654501876119,0.8155208158660049,0.9001543199533957,0.911679109819632,0.8320988489597972,1.0088856278314164,1.1184038173416198,1.015170446970526,0.9980534386947066,1.237056886432227,1.3816463376385,1.1985832638459915,1.1429578471088342,1.5624936465328794,1.7281956262247935,1.4584748957913016,1.307849940625955,1.0315731509556254,0.9153237595138451,1.172380503665298,0.947779212071785,1.072536545187177,0.7704715800634584,0.7681487709140616,0.6739329624420743,0.7144575963885469,0.6390122977435435,0.6011716962550663,0.6272944281464137,0.6048400399158743,0.671195397795868,0.7485241679339244,0.6428639382219885,0.714703008794511,0.9921760643002044,0.5352099011583388,0.9637069332616964,0.850917115887815,1.1360593897004496,1.3563298277158455,1.9585027703155045],[0.4977337183616376,0.4482187074377127,0.5438239923130015,0.3608588885446516,0.48840879844029916,0.44131955293628927,0.5302476312287587,0.5601199112848337,0.5750232160906376,0.7313468866857572,0.7301400699418927,0.7525608530749365,0.8779188990989822,0.9014161902551289,1.0891776213186575,1.067966819314847,1.1414034241879993,1.2747696727821034,1.5276688304992307,1.4347429713611668,1.5588812375060401,1.6572483714181245,1.6592903989604606,1.9591836066312944,1.646224620852286,1.5898526542058489,1.532522899808978,1.3515842888120446,1.2747467521004077,1.1331869938996564,1.1926033358734516,1.0598476157040335,1.0617826434788944,1.1993806294877527,1.1953577593931135,1.2544603779090524,1.2395099918766017,1.4164008742442065,1.383892425869131,1.4981408666452514,1.5917995839842896,1.607016094352337,1.7129229896151956,1.846916461168083,2.100168285373379,2.1296569835825725,2.290382549243969,1.9912208835162701,1.765286037056858,1.9332452974027796,1.7951060412912987,1.7412203659939425,1.7240783360565666,1.5214954104425977,1.5525775875608518,1.6135004540422555,1.5965661398181883,1.7253085623535722,1.6108001344041645,1.9517150003799648,1.6787965636302418,1.578107837605074,1.4731186978895843,1.604530314589865,1.6129861430659083,1.500312042650713,1.5367919373360803,1.4095037313948178,1.4635899869328428,1.3389108735545732,1.436658767074425,1.611498705854804,1.4311894110880974,1.6353634938371424,1.3686508795933225,1.992466286044523,1.469793152963632,1.4061986758486038,1.3603552609257772,1.4286774408299345,1.3596026084068484,1.4391246486747005,1.286729826509957,1.1733776041677495,1.3693871945525276,1.3109317695825766,1.3450609901184274,1.390566666986931,1.3553172870812333,1.3524731149167606,1.3005790830012403,1.5458663394255256,1.3715086355201607,1.1632795295836194,1.0760063125291404,1.1014662654404606,1.0056921862217867,0.9466213021336001,0.8279822717635734,0.7597819034827271,0.8934492367279546,0.8803200103890898,0.9414082187035985,0.871289144078139,1.310149986813252,0.9592313986271008,0.8974812186352102,0.8768897846576746,0.8334593126184398,0.9291871504853879,0.9013033958940057,0.8671947321751802,0.7282731951771355,0.8754005200615349,0.9547262495024221,1.106987304982391,1.2884566281504621,1.4826991845700306,1.688804642508079,1.3140738793788902,1.2471473296869824,1.084798182138316,1.0875893363324434,0.9167593541547047,0.7248418964602945,0.7818904936576301,0.6670001108883419,0.799597440922972,0.8275073782660779,0.9656929680462515,0.8949548633203777,0.9072001998601333,1.0583256188894852,1.0619724963506885,1.0773065008251046,1.0608466110874208,1.0341646451439412,1.1410688193258638,1.1639972034632593,1.1984539909700378,1.5745819957081144,1.782775897302752,1.5409757540888538,1.3634229182117685,1.3814077622866539,1.279355209402271,1.2021071107877541,1.0550277983849576,0.9079188616758846,0.7820185672616401,0.6791507757902107,0.5775081720169505,0.7566181315513685,1.0858100198611278,0.9242643045369668,0.6748659523809339,0.7735049269570007,0.7361184212420071,0.9053604825544088,0.9042297734107734,1.046067585079146,1.2139783554679526,1.2917054603037568,1.3410665856793644,1.3758458735820824,1.3033450936099595,1.3491782133747896,1.4555351870288022,1.3450147036573732,1.3298629608050447,1.2165843799164482,1.2213782721021835,1.2305577310659797,1.1891976229422347,1.1756823371758982,1.1233566899474092,1.124012342655249,1.1296477847629414,1.2175129646032667,1.1296386318897795,1.2740731846281466,1.1158270796629186,1.197553317442398,1.2721538657160054,1.2713607795558592,1.4128411318000156,1.6123779456243819,1.6214673512596243,1.7854500622052116,1.5850951210839854,1.6041697412817444,1.3755963301568879,1.3248039430148975,1.2862798763887424,1.2130789613559505,1.3269548314276045,1.1220072575939766,0.9373041033521816,0.8346794329062418,0.8192642255386163,0.7302044610528655,0.664124720882627,0.6742889437205574,0.6561357046136719,0.655585157345059,0.6018171876384472,0.6471640776939894,0.7622370896301242,0.6718323885088078,0.684684585292807,0.8595660420097351,0.9247475095360703,0.8003498259991828,0.9691616994650926,1.2456312342066458,1.2687748538420185,1.318005176818083,1.4328712213368233,1.1058771702296046,1.1313492952530508,1.1815061353919807,1.4188860036137885,1.2777193608967121,1.0920590893829571,1.1544493623043572,0.9064404103025112,1.0028516893141994,0.9723536093271038,1.303822190958261,0.9854768328482031,0.8838679473376608,1.063024965798304,1.0299412723792805,0.9314866683380159,1.264743157071551,1.3580085649839408,1.1580574948060418,1.2782123701760566,0.8655841080259911,1.0070008570246174,0.8481362539322874,0.7873607271338586,0.830986848841217,0.8633818062822954,0.8707264901064703,0.7835257489231308,0.7300488217971506,0.737909150806358,0.7514705420814598,0.6244968537421729,0.6334274600915831,0.6902393078026484,0.6377911631767657,0.7222715753923389,0.734498266134725,0.9065125468528658,0.8545192053088637,0.9122678117204525,0.9043197049487594,0.8232179985839202,0.718059591227122,0.8161700528999165,0.9223759529373489,0.8152245684128981,0.8192075611181638,0.9511151237197616,0.9690633384960134,0.857232720191483,1.0891601308810537,1.2224935634033252,1.1023875500215787,1.0704672763756224,1.3891786754091262,1.5700666672140073,1.3468538244810717,1.2680840965299247,1.7784336893194037,1.9330161639766374,1.6611790234651092,1.425337934340393,1.078880244026169,0.9076914483577584,1.2046603866144412,0.9813938533003068,1.1560640938603206,0.8011015700032217,0.7715258296186273,0.6790835834107346,0.7451777785087879,0.7449092231692025,0.6211895487898764,0.6966434664799516,0.5994626274880936,0.7922656239301359,0.88266064582443,0.5625395789875732,0.7430486343893946,1.1950351893138946,0.5527697941422871,0.9273876363097323,0.8489990513315115,1.40591063588678,1.5426487962204767,2.038592160879834],[0.7121066140453907,0.6932210842842182,0.6517803574692392,0.6361989007873242,0.7435655617276837,0.6626281173771036,0.8375527207206769,0.8760721379556901,0.8337755892100719,0.9522775531440995,0.926633118224125,0.9875582140873351,1.0821074716825985,1.046770601083731,1.2129694064434995,1.2080074363039974,1.2412584025942088,1.3065362240448448,1.4551973146104777,1.3960784169556015,1.435033388619675,1.5243050896268355,1.4811837260143668,1.7484322689753105,1.4983409744769782,1.4608246700466614,1.4918337855758423,1.3702369898908726,1.3430647701027683,1.272693674362332,1.2755840255592918,1.2283847141232143,1.2243752967908683,1.305046608799162,1.3099721354185634,1.3272143608485087,1.379201591946458,1.4682453395437458,1.430152698068436,1.5237151883325601,1.5563618447050884,1.540312631098,1.6281263716444456,1.7393030887357706,1.9271073920575816,1.9565509862832249,2.1286582937897993,1.8575829011740572,1.665608958668856,1.8074306948320993,1.707554846913483,1.6830448129709867,1.659236131463202,1.5032136232284576,1.5452975120177934,1.531730089038834,1.5059388331635029,1.6915884987269139,1.5441785947689268,1.8395073984010588,1.556804992888067,1.4757337849590195,1.4088601564836696,1.4625107382199425,1.4712179381299053,1.4215900086408633,1.4213567209620053,1.3614862354968338,1.3708882218488363,1.3070140498258296,1.3509734259727897,1.4837706661086993,1.3478037262591345,1.5334669926261741,1.328156957233141,1.9505219458115592,1.433718967990185,1.4081064397421026,1.3724507906625947,1.4214689714442363,1.4178400569140008,1.4989915278566075,1.4209059448449686,1.3026557271488008,1.4612432237726134,1.41571649350333,1.3901817528327258,1.5013023611134932,1.3919462050371003,1.4154214117860207,1.3368092087218826,1.557232564531602,1.4168896591652127,1.256345877499968,1.189911762899271,1.2074161583425436,1.1357170087522666,1.1268788654764268,1.0537220527850637,1.0248220162690453,1.1460616722179773,1.1571152878954345,1.1905123976073886,1.138615859984096,1.5724591885068797,1.247875763993661,1.1474636437645072,1.0844216234476167,1.103924543932702,1.263290485257725,1.1995546629398246,1.1569141503704425,1.025828641509955,1.1254206051587168,1.1405195016570406,1.2416731387562352,1.346330636973728,1.4575330622515337,1.5854752255815148,1.3042076279021502,1.2362400393896769,1.15399330106586,1.1576567181377224,1.072570682855576,0.9588923615563468,1.0394915371001228,0.9565532427774983,1.0725241129478864,1.085849160088515,1.2250889586948144,1.0718212908122404,1.076171472867744,1.1935516340135583,1.2500891103722533,1.239951096354672,1.261246724634403,1.2062812861038668,1.3247684394172892,1.3162632343114546,1.2916493960235895,1.4853750596298076,1.6329957148583982,1.4760791300472957,1.3854704097759731,1.4004875113038042,1.36874369498967,1.3276865672150395,1.2485876473791884,1.1558865039604924,1.0630162209097667,0.9869220342961137,0.8911806707714042,1.0417458940469566,1.1847735425088015,1.1600351736055903,0.9932973088428312,1.0651691815699784,1.0302013266822454,1.161782396968848,1.185163687449598,1.2640641879806533,1.3658976194521641,1.3990328440148758,1.419465838039682,1.4100264711972132,1.2932819445198342,1.3605739228381946,1.3888919142152858,1.3512162284052704,1.3548508971230788,1.3036457725735253,1.3349381979891597,1.3484794638648814,1.339508589866684,1.3420744778118978,1.3353744227104911,1.3247886819610915,1.3414099602056213,1.3762712123157363,1.3162804149286584,1.4037909210268715,1.331033746617142,1.3513093172589834,1.3710825950278074,1.3573169479499803,1.446273923328528,1.6182081616614588,1.571078665796438,1.6773969308940384,1.5183728765024291,1.5319062688210838,1.35628616868655,1.3420802737724404,1.3549122930906392,1.2887785930514357,1.3506716928736084,1.1692576971137238,0.994223864643952,0.8909333681096788,0.95020907001843,0.794796617497074,0.854077275583159,0.8897660558405394,0.7301356357630874,0.7047870947341853,0.7821375266286111,0.6074247466972367,0.6285872109898064,0.6295938663594585,0.6556927692029914,0.6693072640391794,0.694215999284897,0.72386408322024,0.7307761055251654,0.9052812417709739,0.9325928834980874,0.9605715172019352,1.008806222146216,0.7547988115945059,0.7487285011795589,0.7724203913138484,1.057050684891702,0.9343011463902317,1.0764095625562293,1.1850589687696407,0.7955592437864777,0.8768594014067399,0.911396180478577,1.0177077790105078,0.7748748042120032,0.9493084868510013,1.0030745137448251,0.9391642789891425,0.8812611720611012,1.1029580618434829,1.0973685155865815,1.01850087276024,1.1535289611682884,0.8234347333665553,1.081143495114882,0.9631468648968413,0.9011752431117497,1.0551542995119596,1.0182434634846198,1.1739519395754632,1.0262809545459703,0.9073142389971866,1.0469111843101446,1.0665218618807277,0.8189392000680682,0.8103596909206814,0.8839209927927036,0.745713735632837,0.6783127972635374,0.7272606194007775,0.9191833944106735,0.6963792145860759,0.7059792484922879,0.6711645836763346,0.6461295069103264,0.660693825674688,0.7636513665951551,0.6447796285013654,0.6361282235742087,0.6889921082948107,0.6867018887681107,0.6988718972358514,0.6872920015610627,0.7741411199849842,0.9383827386893262,0.8205909901872994,0.8297472815170737,1.0538626656467978,1.227132684897376,1.0209275404404419,0.9507830655347974,1.5009383642693022,1.667287345714477,1.2802490386522443,1.1065720007343194,0.8052435902453365,0.7379252381250051,1.009064025305073,0.7855268886879784,0.913024114530288,0.6498595387558204,0.632862903552224,0.7959345512070565,0.8906987678983159,0.9972881192127879,0.8543588901849394,1.0239668191734137,0.9190490338282686,1.2082285007864908,1.257826164212171,0.7773346438220009,1.140324515431414,1.6053391371826233,0.8859559266128297,1.079181690065297,1.1482951357452973,2.055669003050843,2.2051861512879016,2.4420383170976785],[0.8215411891759463,0.7704852849082695,0.6853976969645197,0.6246137948224674,0.719562689992956,0.6217598248839444,0.7034797371991962,0.7479356214713647,0.6913388575651088,0.7265469833925632,0.7002131001309702,0.749227375093908,0.8104033942524217,0.7447742925033054,0.8457398809974024,0.8724472489137367,0.8894789064641972,0.8984558832828923,1.0051490289374276,0.9797239515734113,1.0383372529140071,1.1283957818313615,1.13437078999312,1.342768076503681,1.1680008638045933,1.0579064520138814,1.0517222727257092,0.9615035623478064,0.9520001683386994,0.9180479718481502,0.9058496293832845,0.8883602028421023,0.88625118508946,0.9496516130954709,0.9534241502425626,0.9484971451767228,1.011363247517753,1.024067157828729,1.0186541439835766,1.1594715203405115,1.1458198442398815,1.1013816327146917,1.1876944357805364,1.3284145005063381,1.5284821494481793,1.6209988027892648,1.8150885821023315,1.4339118812758604,1.2763410451704895,1.4268812666783155,1.351931711282378,1.3077235212204357,1.268339171137858,1.1354826710782007,1.2648977585012262,1.1605366258406427,1.1272516574513285,1.335204765842694,1.2090501988050235,1.5707056991737267,1.221437098398517,1.1116838502394535,1.0089017618816567,1.074798589166671,1.086406790496586,1.0584164672307896,1.1010520597701101,0.9584279349480965,0.957911204788674,0.8891291574892456,0.9603496682366564,1.1308660550518628,0.9191011722904278,1.1250661693949415,0.985603119328262,1.517616137992489,1.0120082965661141,0.987786050986946,0.9549052623659215,1.0449821248269056,1.0529165402626448,1.1252566892436524,1.077737003696316,0.9756359347487242,1.1260586614069288,1.0538692320979846,1.0050492649378624,1.1059880071912123,1.0037012914227932,1.031961630838812,0.9493493497161136,1.1524928106316348,1.0228462049764968,0.8943060255918535,0.852377845539078,0.8902705980704189,0.8462473025902566,0.8405253446695476,0.7802054003264142,0.8186397986623147,0.8416269133161259,0.916995283231474,0.9150540951524896,0.9524693754715556,1.2842793223786,1.04192658532831,1.0213622755615748,0.9986741744873308,1.0117093771680106,1.0801920664942095,1.0702664132637274,0.9574905508956726,0.8326227373373604,0.8625869775379297,0.8427061749569379,0.8931805249469041,0.9542187699583011,0.9696370620861967,1.098333826224916,0.8643475364893933,0.8305258730916468,0.8413051925228452,0.8419142035705054,0.7954059132273653,0.7320912111470218,0.8174909865064307,0.849748630241078,0.9244460057599786,0.9820392375439989,1.0538973800783855,1.0088573811428596,1.008891446961741,1.0880097440751015,1.1090114408348652,1.0984973593724905,1.0758198864173059,1.1071053165040667,1.0979383285514392,0.998743174867932,0.9537591816471067,1.0161830580448872,1.110231551412874,0.9715832134814285,0.9570424792006197,0.9854565643738975,0.974884290635501,0.9617711400132217,0.9334112987252229,0.893086725411687,0.8191193417353013,0.7939738584307886,0.725576603883716,0.9188375612666327,1.0925292358718142,0.906114996149046,0.7824982532248375,0.8215752245776002,0.8294385654367431,0.877636290931367,0.9282326471866853,0.9838051416083914,1.021717972777851,1.0538485688681194,1.0838840142354993,1.1228084220756536,1.0105674499269135,1.1315050007793643,1.1599026380063404,1.1984293693727752,1.166546327471914,1.1291300037560335,1.0845072992163287,1.0932185672532897,1.0794377100464978,1.0511023227640062,1.0416219524545292,1.0183350315260444,1.0276201056108698,1.079560200829461,1.0484568217351034,1.137322926166137,1.090066877637275,1.1445524258077702,1.1854250323313869,1.1342664470518515,1.1620235273698363,1.306472852523105,1.2804995200773421,1.3245674893512855,1.2463801402392134,1.2912725053110294,1.1431774984978382,1.1419839541631431,1.193294150371321,1.176011093776378,1.2992236514951387,1.148213352454543,0.9803917673445461,0.8965317716127839,0.9508109242162132,0.813068474405151,0.8490222348875441,0.8761509330808809,0.7488048963602488,0.7293079458383485,0.7841348534109317,0.6556168835952312,0.6658602035717103,0.6603211835799779,0.6693405864098745,0.7013069513041378,0.7195840745936534,0.7094670718452191,0.7530191874536478,0.898797851972085,0.9331483206275037,0.9373030247018884,0.9914268281761431,0.7687074720162443,0.750460574823354,0.7728799771740921,1.0462655240671996,0.9400424508496084,1.0980768652026518,1.2223580434657326,0.8373736801827132,0.9127763819176121,0.9219776530796483,1.0408626737048476,0.8212223830500957,0.9336948891194808,0.9888936434168464,0.9267056684599939,0.8799679763478373,1.1276686947920092,1.0817894138785846,1.0089483420275462,1.1746312018165344,0.8394101232876742,1.0889289139826774,0.9468276426606104,0.8902314596370776,1.0033741677387966,0.9968411854663459,1.09044601586777,0.9845380618130114,0.9069973282900576,0.9853252912731316,1.0046279690636146,0.8031661417418879,0.78415237830228,0.8489186181059312,0.7365387258090947,0.6978432888024833,0.7083003694738809,0.8889716101619335,0.69451739344028,0.7014154754580223,0.689116856549073,0.6792956705834624,0.6959850629060274,0.7994313537925374,0.6867516015308841,0.6771672221960908,0.7254166042446726,0.7187386715978596,0.7261041435781792,0.7190119504078809,0.7833226984044233,0.9318126343024832,0.8277108774979188,0.8183924448703408,1.0314484938421815,1.1990301628055138,1.0016630614156217,0.9567102998064921,1.4964411735592538,1.7099454993526557,1.2451381087832156,1.0987470116715374,0.8304281036298841,0.7675161514238866,1.052748770166359,0.8463319136854875,0.9298323156566572,0.6707345127957077,0.6829886737519312,0.8306237976294306,0.8936831246345944,0.946458473520629,0.866512904802335,0.9176140543905221,0.7969909187184193,1.0064222532454739,1.0520863535919058,0.6486170595477232,0.8760649339086187,1.285938213049054,0.7289675688672687,0.8777975078105313,0.8988920815735586,1.6572728257382747,1.9014345290403176,2.319523465669099],[0.6925112082103965,0.6471359845678392,0.6402375636948405,0.5255056766559999,0.6531800830691554,0.5498915317198227,0.6361748861312807,0.6869276087069321,0.6304637003991662,0.70961780251992,0.697994323145265,0.7593279666265835,0.8485585464123657,0.7958214529472918,0.9649978382755163,0.9717032466621742,1.0236922367639514,1.1019787012995694,1.2838303978977423,1.2265316508752877,1.310426766181996,1.4356018283368972,1.4220656594789167,1.6713157948250614,1.4261460678105948,1.3365128249412204,1.3555286929513142,1.1927776260133314,1.1475472242868128,1.060909146176443,1.0627165997181844,1.0041843943630364,0.9964388457789639,1.0986191167662196,1.1137803563636357,1.134433307933783,1.187864506305438,1.3028874092624476,1.286973048442716,1.4345805805306608,1.4663723838219866,1.4267409229926002,1.5526565144312194,1.6825681155196788,1.9155605839818557,1.9641728522840147,2.1306260375389696,1.811097489261441,1.628824018904357,1.8051777077883286,1.702295130832289,1.6439244752409177,1.635899642715295,1.436330370527947,1.5093374106254531,1.4896600807933977,1.453385425599043,1.6345749507794984,1.488843444502019,1.8151813854411378,1.5095132112834273,1.3936100730424092,1.283264221671692,1.3723320319359036,1.3780365396952445,1.3017237767452061,1.3058471697404561,1.1903089334565728,1.201289870412529,1.0977861048690178,1.1804778713625041,1.3688066900070173,1.1584592393893522,1.3567425659840853,1.1605828662460285,1.7392667136502515,1.27876290686918,1.243698839111413,1.215709840246799,1.2959536720409401,1.286834321902021,1.3835954727989301,1.2771162508023832,1.1779726034052767,1.355683343126051,1.277985944122369,1.2514919348603672,1.3171719744051176,1.2279620031264193,1.2348247226560145,1.1448983613311225,1.368126440892698,1.2216720315914567,1.0375860271666553,0.9638937281662923,0.9814992455395087,0.9335666530052734,0.8999049319466493,0.8100674096682857,0.8094804646763474,0.9144267789734414,0.9658204804028192,1.0012826241552881,1.001892169141908,1.4449270400951182,1.09299416518388,1.0413759331706016,1.0253019323626584,1.0142761428800449,1.0792207037370034,1.0421748800046988,0.9738387334630022,0.8192466643272164,0.903291127287168,0.8984524337704903,0.9986552639363242,1.1330817341099402,1.2503138546330697,1.4383267318715494,1.1073477749703116,1.0307354863811238,0.9289779264174342,0.9113280618458636,0.8167697543241746,0.7019817792440326,0.8080644258132884,0.7919348651038783,0.9181505751138843,0.9851496882818788,1.1078726678011093,1.0503550698124573,1.0701073284286762,1.1969420854215833,1.2032235204783421,1.1970527588720616,1.153679933365934,1.1454681695498006,1.1765006713608828,1.1247216650900675,1.137710480284535,1.392656087471752,1.5122731118897068,1.294290331375709,1.210130573329346,1.2629891879079655,1.1818982334670205,1.12338877155493,1.0348800010833539,0.9543823227148467,0.8299349104026912,0.7827393226549474,0.686571695293679,0.887601612432264,1.0429187295192452,0.9066599729504637,0.772192791496934,0.8395577835748239,0.8414560174589648,0.9427724336713555,1.0067658152693106,1.0963462980598826,1.1892370702540869,1.2533317244404862,1.3106907695171301,1.3703709124816092,1.2777517276540116,1.3815383816902518,1.469292419438816,1.4011729355782172,1.368561362065353,1.2832640122020866,1.2586569612116267,1.2709356285086981,1.2411889114507924,1.2136951059430958,1.1836168990301406,1.1384273581462063,1.165272932495484,1.2484918866014494,1.2047189939598313,1.3248448035351719,1.217327879227958,1.2982581813721634,1.3496647604522405,1.3306142201464768,1.4131992758655745,1.573600777490928,1.5924263170929724,1.6723553805740161,1.5486209904754245,1.5722445213598095,1.3953776244773275,1.3744556954585845,1.3737412206833182,1.3344796471548908,1.467628468346762,1.2529915352947407,1.0764879098566313,0.9640358062319965,0.9634832473564859,0.8593150969513734,0.8466172535773612,0.8623409265755545,0.7746133031082784,0.7526842452852485,0.7502917177908927,0.7059728592095285,0.7480461524761688,0.689698754948108,0.6875742851444595,0.7935546520651553,0.824652800341634,0.7327896215567726,0.8521281732206287,1.0778303757366225,1.126159263941253,1.1179357701299844,1.2602578974376237,0.9740568773292859,0.9674032460553629,1.016532271241479,1.2777659826246595,1.188819975486887,1.117677112444962,1.2130452826259885,0.9262266655443235,1.0093150582124177,1.025187227549996,1.2610635288572123,1.0009215194494345,0.9960646967014547,1.1184277029054877,1.044913568027495,1.0000654179900368,1.3107102109419877,1.29713000591287,1.166736853344431,1.2996213230776277,0.9462246242895949,1.160135962517573,1.0027292783142943,0.9284342362080088,1.0168862011162279,1.0103496047466605,1.07592042238529,0.9798007334226103,0.9157287547723514,0.9452980801450864,0.9620478156076782,0.7672201632946946,0.7416932908204935,0.7931446550957241,0.7083280281000924,0.719708516082474,0.7098652946287644,0.8909473851501662,0.7586511224399156,0.7888242729848813,0.7977139625659951,0.7674490818576097,0.7459680654348209,0.8635867651504207,0.8378004195073359,0.7818673025367133,0.8314322399387782,0.883160131237673,0.879655368201436,0.8416507431970469,1.0216914308432854,1.1343359066168792,1.0242890708769234,1.0013756990851348,1.3021404970034023,1.4834444449768793,1.2389913068744405,1.1789460476634248,1.7693869293208597,1.9339384635890127,1.5240219828350399,1.2993900628171562,0.990978064870589,0.8602910488018114,1.1633490962493862,0.9790604606791465,1.1167678149970148,0.801449989981767,0.8068893882304771,0.8384180037318397,0.9047585880083865,0.9116817875514476,0.8247000877701455,0.8569397540635822,0.7390182315132956,0.9461412901652564,0.9988801543864705,0.6355835998560282,0.8108355285128248,1.2578378704048332,0.6572626055836113,0.8674481081754511,0.8594890755082073,1.5362759342526517,1.7623086392719467,2.237821190612007],[0.6712106241300501,0.6694634327842408,0.680719399422182,0.6718485496893596,0.8682713270921986,0.7622501779657743,1.0121616028784024,1.0914199632454566,1.051438825690855,1.2351105884785358,1.2322474043149572,1.2882959464445773,1.4539020113605847,1.3956277272174482,1.6263222971363411,1.6385230352198532,1.6921572412665864,1.8241654506055158,2.0274246037393766,1.9945938133598853,2.0709735708749433,2.1861959645119136,2.11103716374585,2.399996990452387,2.1423374243420295,2.08822410418608,2.1212061643326012,1.9372172537141932,1.872653843211748,1.7576878167041183,1.767396226567146,1.693278157273856,1.693708225441937,1.8215730309050695,1.8387474599855356,1.8781296095178874,1.9033182325654328,2.060762182756954,2.0276921573373583,2.1355507356321066,2.1923220949498763,2.1865923717572553,2.3072946937841206,2.3866872944930733,2.5694519399459583,2.5378841319617793,2.6594126080076337,2.478572960411529,2.288476725732186,2.424548527680431,2.317807196934584,2.294683670439644,2.310548191090083,2.118317074012653,2.1154119912179308,2.1964691565732672,2.16999003163123,2.3382038593940666,2.1952654340763167,2.4103310207582123,2.2101536888217295,2.131530028308641,2.048114582800997,2.1074186115761537,2.1203918840369345,2.057115219955793,2.0139772484405447,1.9379592085443187,1.905428360990344,1.7852291383397465,1.8371530553556827,1.96419753126233,1.839587824546422,2.0307191875888972,1.8839510120782905,2.4547162753876446,2.042880702845247,2.0087459217169625,1.9815084000366154,2.0452819841982923,2.0144919895088407,2.0963012559290273,1.9583237141105194,1.8532311706050164,2.0258133108974694,1.981374234488161,1.9912006078522366,2.036022296574236,1.9845873508442144,1.9735260056474666,1.8905657258607331,2.073193753897589,1.9215001346685392,1.737014595415005,1.6420292904917557,1.625778117130488,1.5287174871770248,1.5375721619302873,1.4244687203643018,1.3454910721737372,1.551923130901912,1.5109765361378595,1.6151967226671158,1.5136649859974358,1.9947332102704423,1.5802637204977383,1.4127738922576347,1.3310198151057318,1.3175625563465514,1.483970287340158,1.3839560668082405,1.440586717285803,1.2970183020120314,1.450281400652386,1.5054975660556116,1.632538067465743,1.8221007141456464,1.989608675083154,2.1695515386282125,1.8416621417705925,1.722499135573152,1.556939980774178,1.5122923412724454,1.3710027284367907,1.1932297741876468,1.2931973125806926,1.1524943100198621,1.3140017968249535,1.3274671120815593,1.5367019677538791,1.3219455227019363,1.3466952560522325,1.5287931151913488,1.611445594530591,1.6017087127590806,1.6093480409574072,1.438052876352456,1.6454344219420232,1.7007912110141945,1.787415032573496,2.110296556328977,2.329692471118838,2.0790183922286314,1.9506521686520992,1.9876534287452914,1.900607404471161,1.8057551306613115,1.6767252008392872,1.5367224088002926,1.3791433681289336,1.2599357685845474,1.1493940735049601,1.3028465992689104,1.2882417930036598,1.3674929000014302,1.3033721443619806,1.4065500480120203,1.3663100850811822,1.5574355636628139,1.5717492358084013,1.6882109295670706,1.8635691011810196,1.9123810843303288,1.9728778358829928,1.9667081163869504,1.8539732628053331,1.8596755897092732,1.8823186815181883,1.7202472727070344,1.767739405247266,1.7014847575696521,1.7797523147373142,1.8329723508789642,1.8207258307350451,1.8360817644805028,1.7990056408874038,1.7830773950959236,1.8114406348851144,1.8911744140005158,1.8094275772168007,1.9113409233159413,1.75447858641498,1.7945737227816303,1.8281335466250668,1.8498436199247992,1.9923651545750467,2.1942699718211243,2.1669322263910424,2.270198498430749,2.0744299497254413,2.038028819799261,1.8792019752398645,1.801872897695193,1.7519430161993232,1.6412013267886607,1.6577799394826653,1.3988952044892025,1.1990828281023211,1.0438762280637408,1.0908846065807487,0.917138801552526,0.9853427015941492,1.0217412389007372,0.810678744700939,0.773669380454774,0.840429937314521,0.6611364886123768,0.6729378210389411,0.652253286069915,0.6533157754330964,0.6873946684653666,0.7127887165394622,0.698914429878893,0.7522127402717673,0.975785364318023,1.0165227639808967,1.0288315507571522,1.1682907534258757,0.8446017859753304,0.8358617573151315,0.8988120668176435,1.1991014269182525,1.0818965690555933,1.085048528857546,1.2136908731136284,0.8779360955698116,0.9525166879413155,1.0204315237445563,1.1615694506354353,0.9066265981964762,1.059545096903268,1.1374798569924702,1.0257728887841813,1.0075170961341149,1.2933767644890142,1.247254025366556,1.144223204933268,1.2833283223974663,0.9612590740568122,1.2505650010886256,1.1264244981900575,1.0205914098032283,1.206797389640149,1.1553102545836509,1.3471778399869436,1.180526085317203,1.037692297268031,1.1679087001583983,1.199705073235168,0.8845896177087207,0.8574960573992838,0.9256023195700188,0.7647310567973182,0.696548478063363,0.7222669789828027,0.9113065894871378,0.6851775651528295,0.7025300396459935,0.6903613948519685,0.6806601680332494,0.7200197115777701,0.8392891361457829,0.7109320902008598,0.687245192233141,0.7686521679017247,0.776497958515143,0.7676465904253704,0.767389091912538,0.9154220383167538,1.054349792716827,0.9311546769340053,0.929738640729549,1.2453993954164564,1.4493472060777188,1.1880046958335435,1.1020184758702294,1.7330252213543516,1.8910728724487031,1.4831640186720148,1.2357205862564038,0.8834794430546218,0.7677626072404432,1.0876924274049369,0.8798445141697541,1.030882693251151,0.713027490404522,0.7242287002886368,0.9044803918671781,1.0249312134683808,1.1467133747012206,0.9630400146355808,1.1200588408632892,0.9673519346888713,1.3171097152386442,1.3288614745515683,0.778533408523125,1.1528821821115778,1.6744736971358272,0.9031221501056217,1.0410813404684276,1.1587175642364032,2.1196415388877257,2.293829631721383,2.5748251554562076],[0.9967693055613543,1.0152428557394695,1.0058363087348179,0.9422567030818154,1.133044770280426,0.9131515693854603,1.0886097516351114,1.1700437706515268,1.0191750267644113,1.0684479383700303,1.025341636426199,1.1546519175607886,1.2428814119780862,1.0819612181294869,1.263141673536524,1.3109865713024287,1.3151321176838269,1.3282289299001888,1.39298183090437,1.413538090923931,1.3856173077206775,1.5180337076511492,1.415894386617882,1.6357516943861616,1.4776232713862507,1.4046550462202203,1.5627882215325508,1.4518696977788343,1.4512380651479742,1.444189874100263,1.3493014303419708,1.409860258395118,1.3877899226048953,1.431846140302189,1.4768066794509331,1.452980316232102,1.5991171410182758,1.63568314644635,1.6268818184825846,1.7539012401514296,1.7075242194438531,1.6118551722826007,1.7251157285695757,1.809805900532213,1.9322212473543736,1.9508060735341837,2.1111622584214533,1.8963828421418318,1.7791927238007212,1.9160771440350162,1.856782020871994,1.8437610911234854,1.8261196270100062,1.6834122240030565,1.7211508000097635,1.66499000293855,1.6100981008557953,1.8513707499115273,1.6618875991134319,1.8820071832020961,1.604149195594367,1.5133230850608737,1.447369583965353,1.4265582376931318,1.4389480657765485,1.4457634224763583,1.369775094724098,1.3348500562216943,1.2574958687804338,1.2118438818312376,1.2198736532355785,1.3617268326759657,1.212143990351122,1.385279239377511,1.3012537301157818,1.8690374825302807,1.4626699855297334,1.4775239970135878,1.478966601939675,1.5421101870265883,1.6157466754149603,1.7337531734727687,1.716316603334957,1.623720688914946,1.764714013748988,1.684077951496227,1.5759200221519951,1.6972165760420816,1.517782175506588,1.5384018496837066,1.399024743909639,1.5639344723638213,1.4549148459947119,1.329159975075205,1.270047005961748,1.2492802256192832,1.2046156375106094,1.2799952834386086,1.2421665305482996,1.2680054625130504,1.4085950805930196,1.5034614197348886,1.5277487880653287,1.5536939277657604,2.0401323235573443,1.6977259320363676,1.5820931178355477,1.5344983122107794,1.577431929049919,1.6934072440602967,1.5792439820457351,1.5417675050419308,1.3434943602564406,1.4093727800299687,1.2939091418220152,1.3437516752590077,1.3953345412711984,1.4131129418776152,1.492684126423657,1.2778931384213357,1.161489791529891,1.1300499930714965,1.0871136707051534,1.1071374397398532,1.0785972871169616,1.3020489642599866,1.3029602891889507,1.4688965094489868,1.5429554294681713,1.697146829626582,1.5368919805682772,1.548467627899035,1.6449627548494439,1.7118329668276835,1.6904929913339277,1.6927566678266925,1.6126955639569605,1.7029436606468622,1.6175468422118668,1.5668468437455436,1.569999793963247,1.6175782625212578,1.454547990590279,1.5100719467375197,1.5716945113766105,1.555883718671425,1.5313248098836862,1.4972251995309442,1.4782434032528766,1.3504262813961985,1.3362709430483504,1.2043440756022437,1.4040647436951232,1.3197599020816464,1.3468354535942777,1.299467564144098,1.3519528260610394,1.3879113008538828,1.4588442016540155,1.5884891678316582,1.63890464590435,1.6492880759545345,1.6917607242108772,1.7102028678402024,1.7345001506621698,1.6047056441566996,1.7255401939547808,1.6805442168964153,1.6821560520255625,1.7312041163525376,1.7160888702753516,1.7288455006862256,1.7364384988946961,1.7275570721250826,1.7077052506466872,1.7195468199305928,1.6321759810882548,1.6852311977934236,1.7235925821587943,1.717297801832637,1.788169575636933,1.7722793844964362,1.7876402787927608,1.7760089927760885,1.7529217981311942,1.7534719162643708,1.867625245358917,1.8137891227788356,1.8169533837156548,1.7534284938126774,1.776332246970334,1.6714995796650298,1.701640641296966,1.7465439160126048,1.6967863785978725,1.7363026546904792,1.5502858175484928,1.4098238709099598,1.3103619831972728,1.373385235469003,1.2408868871686543,1.3421158219097213,1.3578448366770997,1.1581269388506321,1.149685380521395,1.21630498338586,0.9544443409714586,0.9577794038531124,1.0174027024949868,0.9550216905569122,0.8795476787489924,0.8922706697487569,0.9526750146043929,0.8487594141596392,0.9171372358264664,0.9468811491069785,0.9641598592152432,0.971970077921823,0.858986981947014,0.8540819165861987,0.895217364937283,1.1345113323427438,1.0502069165317998,1.4185268687028278,1.5168669724609432,1.1633463891400049,1.212638651072892,1.2958224219841104,1.239292768447524,1.0692512268740164,1.3713685983002972,1.3718628699962183,1.2102364989657135,1.2252702376159232,1.3584431670033257,1.2067282305647318,1.246574722460173,1.3526757726427454,1.213310075305659,1.4932998724598714,1.426154158234945,1.3689178153303387,1.5615502666415095,1.5256512324537042,1.6956378998647046,1.539423155600012,1.4352588140738676,1.5469864669128244,1.5552393965167843,1.2772388964088364,1.2534642835114398,1.286222621608899,1.1302302564030566,1.0652975555636168,1.0771090679321684,1.1989230295488418,0.9581020141206674,0.9653339174668667,0.943679719388829,1.0098794091730783,1.0978648994180404,1.2055421753830984,0.9614578940338311,0.9874555803474778,1.0810941602916517,0.9723678024327425,0.9456163333788861,1.0134044833373816,0.977144623130688,1.0646011896118601,0.985465489153174,1.035597979714234,1.1774338708039476,1.2934632447682906,1.0844261658443957,1.021416934397321,1.5918527071232693,1.7385169099434539,1.2178614393558447,1.068874980307175,0.8992165632237233,0.8694835711769815,1.0543312551713608,0.9273647071027161,0.9657789665758694,0.8558217703346447,0.9554813642709477,1.2201417014572438,1.320136698249245,1.411870651942425,1.2770861848568886,1.4024041431123122,1.2768276135649466,1.5790914967648249,1.5541775903076978,1.0435317050692288,1.407891117917736,1.8362341045615747,1.1339971008496672,1.1787296752356315,1.3472292978607727,2.464288761731583,2.7387593580645913,2.997828751891136],[0.9255778658725671,0.9038371023242154,0.8623189550272673,0.7773006097844939,0.9389759976251137,0.7034160200208005,0.8416548613654362,0.9276984129748005,0.7923949288563139,0.8333937172650087,0.8173257799686556,0.9423559165495348,1.0084460337012509,0.8748876961510673,1.0628485037091022,1.1002049632872568,1.1154428436666508,1.1494818568063017,1.252744769672026,1.2515049916430034,1.2632951637520473,1.4050010491249212,1.3677774291831097,1.5620080570070567,1.386001208200912,1.276265992412913,1.4052145977935457,1.2605797416869797,1.2542508709024534,1.2262036241235352,1.165639535185035,1.1976721313409298,1.1906796193819413,1.2443118937058952,1.2860442074412521,1.2681148528742676,1.3907795994470011,1.444773769304265,1.4487533988921453,1.6204912081194969,1.5761930207427977,1.4719769216011283,1.6126783337441655,1.7135752613000281,1.8916509588852068,1.9336996770069113,2.113140901224348,1.833244965162862,1.7022074209608935,1.8667044648076347,1.8050981033217488,1.760777168754983,1.7582564494256738,1.5748616707043577,1.6478733214901233,1.5808779314244545,1.519152164837682,1.7491423783956033,1.560959768369628,1.814480350457297,1.5273385992759272,1.4215626525891085,1.3265201444038581,1.3424851502874433,1.3466547678173557,1.3193296691475962,1.2611065684723468,1.188463954106673,1.151906082268007,1.0735045633248435,1.1100912107460128,1.3024808809430497,1.0962677129504705,1.2797854544238383,1.164157341763285,1.709047691455041,1.330848333665709,1.3340062734762392,1.3321328400017374,1.4044614408365148,1.462678826929572,1.5882088621786992,1.5273691261596478,1.4551342482898348,1.610972621686404,1.5060037613335422,1.4122047260058246,1.508002122658007,1.350230387214781,1.3616068006950137,1.2402854223083866,1.4213926588053862,1.303206822907116,1.1550437915322558,1.08659817348896,1.072607142292504,1.0351304459567992,1.0819721283911303,1.0189097554004807,1.0404268727599237,1.1826978769819452,1.2692147070186561,1.3111514077775603,1.3379434034111195,1.8669411110504195,1.4637852201154053,1.3702452640580125,1.3503054396292469,1.3821773718331112,1.4466115350765174,1.3423702401516524,1.2841150767453857,1.0755820857873917,1.1274240915652078,1.037190753161372,1.0850493960560175,1.1781788378730957,1.2025807233308903,1.362606004483161,1.1120022328229562,0.9986019870044698,0.9446489176296703,0.8844700030887489,0.8641183379312275,0.8052108446818235,0.9912045120556936,1.0459604353110794,1.2115365519734262,1.3259941725457818,1.4895461622514778,1.3809975580464489,1.412012343130781,1.5336484186399661,1.5624945080674504,1.5397903554388788,1.479849042792165,1.431441398081541,1.4321065252604517,1.2927491830927544,1.3078554655482815,1.3738214598378484,1.4378673317038702,1.2596732912833348,1.2874432529930926,1.3846146621595832,1.3366577398110329,1.2888161151124355,1.247725633094863,1.224744935605457,1.0905271714708413,1.0855394345163405,0.9666032957650996,1.1992867084348828,1.1407938921114151,1.113975219301861,1.0587481863366117,1.1059112278723933,1.1521908119219968,1.2134561521814373,1.3488730039035528,1.40355638166309,1.432546711809754,1.47708134754284,1.5389470040232613,1.6109027781922596,1.4876752901473231,1.644381842623416,1.6675399745129469,1.647703983599629,1.6367022383128231,1.5897365836470316,1.5449310118974908,1.56959708540806,1.5489460859589084,1.5163161882512073,1.5128686780999745,1.4173252335388622,1.4762247940954747,1.542052209389349,1.5416937974728657,1.6362393617232855,1.5804048865696396,1.6463330724016014,1.6680972368573987,1.6390914318656744,1.6524825798141713,1.7703990298284313,1.7611304248588917,1.7542211534727388,1.7051496574204192,1.7311358262689855,1.6130476522959656,1.6429909979181243,1.6796242762606313,1.6388660382282116,1.7272801279669983,1.4859734583220545,1.3310713095497604,1.2166029275564492,1.2367192581648632,1.1146853115664772,1.174436570635976,1.1846598941743054,1.0171147471503936,0.997597930298136,1.0340711042896504,0.8416186655661227,0.8562970923722012,0.8651739144231284,0.8100224323533853,0.8001613859674107,0.8148126817977632,0.8169936528062982,0.7985275459339386,0.9248354357480421,0.9808271681608631,0.962195673381053,1.0677163566728172,0.8713189562185811,0.8553599908701321,0.9134661630487029,1.2140953526644496,1.090897185916294,1.3061644320444399,1.4214698144896842,1.0857047833317504,1.1245445488663248,1.2153372822787905,1.2366476330961238,1.0319743512590605,1.2612262327841695,1.3151558994381298,1.1475084760386376,1.152152933467525,1.3603362663338099,1.2258387146430312,1.2349712847138443,1.3313784025010218,1.14111170795734,1.4153893764611007,1.3138401607309613,1.2287866977222037,1.4000747138059912,1.363307376486867,1.5001109513977444,1.3635927710316778,1.2783719785744205,1.3387566661942123,1.3544815719660541,1.0889766063457578,1.0531962700434436,1.0783501529788062,0.9416790414152123,0.9013657985639536,0.8949419784484227,1.0500649328484715,0.8168661772370187,0.8316918083226112,0.8339775488658574,0.8843355891812084,0.9555419956882261,1.0946748698988236,0.8871195196123096,0.8892457404721466,0.977971664304243,0.9223650760071029,0.8980593505707386,0.9431735837363817,0.9737244501426985,1.084556851325098,1.0029335965936903,1.0167780080457367,1.2444314272821828,1.4065054875150498,1.1662594218445257,1.110565750301214,1.7329368560258522,1.872852727139475,1.3501473580554018,1.1497361733997238,0.9217460868681289,0.8332081844824466,1.099585763712751,0.9650291591808453,1.0413765494250082,0.8477315984699251,0.9209734105118319,1.0983899261701633,1.176764549591764,1.2075825089498866,1.109833980309674,1.1581931593101782,1.011006028266083,1.3127685488415979,1.2918028551760412,0.8068069861952966,1.1042681222403241,1.5461961219063083,0.8937574563887917,0.9474431561431965,1.063520384053503,2.0791105827564462,2.383356685562934,2.770217503371878],[0.8766401955043222,0.8694118861193769,0.8582974303145413,0.8049525153427004,1.018933118567095,0.8264108065887583,1.0484314329769622,1.164184127758998,1.0541426977691957,1.1710723827216956,1.1704831131849607,1.2827712782114613,1.4118241447396707,1.2715821134061842,1.5101874977730714,1.5520836118176768,1.5867455630952068,1.6806624079356305,1.8149632137584664,1.8474286028284794,1.8721417988023594,2.030669418450263,1.9279433278016336,2.1568013697552013,1.982852495076375,1.88698141442156,2.0193151313194795,1.8281855080654303,1.788021818925763,1.7186781620792368,1.6738314057456471,1.6737000828026287,1.6711969029732232,1.7729225564994375,1.8141850169156222,1.8187713792694655,1.9091690568993245,2.0287629746208387,2.02717114850866,2.193485077862518,2.1850412390638665,2.097568431602512,2.2559654298270235,2.3307738731337317,2.490349153152825,2.4820150483675825,2.605378819262478,2.4230013888394684,2.2926711980753307,2.442332191330341,2.3672784382823675,2.333504529327232,2.351001006703304,2.152247713398852,2.1679019897121736,2.196962814342521,2.1469169692417487,2.345593750688305,2.1667150979405183,2.340870344950551,2.137496260484552,2.034081249353518,1.9428817564164207,1.9529781319290234,1.966397650868354,1.9308795883459309,1.8216014128241347,1.7649372848396756,1.6717801155616672,1.5675951714374905,1.5947325758448962,1.742686859227234,1.5981825512187933,1.7749943735076308,1.7107392902863292,2.2384337267102987,1.925079313495124,1.9229042899484674,1.925053703600956,2.003475046301262,2.031491362710902,2.1502083253987845,2.033557513869371,1.9648386112967764,2.132404796777964,2.040778279984683,1.9865063355997843,2.0356059572266494,1.928454644450988,1.9207902688602618,1.7993922950823376,1.9500575145107673,1.813420300436961,1.6505747154789774,1.5579138454362667,1.5226233132141995,1.4554135433216129,1.5104052543654085,1.4185180966488053,1.3874903620079408,1.5991269097435024,1.614365144532534,1.72613640774398,1.6710332252268612,2.2251812934363078,1.7512391258248228,1.5912125173095155,1.5340775464770149,1.5315042308492621,1.6411127625449606,1.5058147911868442,1.5474892430535507,1.3554334830101518,1.4633197220965204,1.4378306418828948,1.5106868827002635,1.6748907971838094,1.7543202775286106,1.9377511371836422,1.6603535006616361,1.5032766469689471,1.371604944111105,1.277277075057952,1.2165744719698797,1.1080079414693433,1.2755452991123977,1.2322714089438607,1.4192680469353176,1.500685484180736,1.7296666022365892,1.5358610672294055,1.5879845388605458,1.7651399165909913,1.8384527838086122,1.8112691132656487,1.7567558423831726,1.5780489642421967,1.697173070897562,1.6498498193090296,1.7792110678949127,1.9925160300766676,2.1353439737966657,1.8902046573896651,1.85971817406671,1.962725653947816,1.8716745569375355,1.774356481102562,1.6780760194331812,1.5989147550297444,1.4237185493118374,1.367130176757829,1.2427422781295943,1.4485103166601492,1.310593673575112,1.3952960333527622,1.3841798956801443,1.4608429679620971,1.4790184938110993,1.6119584981022999,1.7029600586195301,1.7944051650116521,1.9124693696361714,1.9646287168666214,2.0574204190660965,2.110903756372785,2.004846790106497,2.0574084316034473,2.081667474209364,1.918195483516078,1.9383598221229494,1.8864549867738787,1.9153814949639578,1.9913411456842223,1.9729960392957044,1.9659465616702196,1.9365227783790426,1.863255425817972,1.9244201052801027,2.013466365970207,1.9775209868846075,2.0799185374658142,1.942751223318714,2.009042463862633,2.047856221603054,2.0549627057855573,2.1437649813856954,2.3053460527690164,2.2920693050020517,2.318573254462785,2.1970892044752253,2.1700727785485365,2.0681244716133538,2.016758831461291,1.980748798305774,1.8821362675053028,1.9061505186943228,1.6011876119309305,1.4285084144350302,1.2702430474696895,1.3096596174531694,1.1505665414173134,1.2289229597735676,1.2429988586342289,1.019170593391871,0.9971450180204986,1.0473962721141112,0.8262127728268038,0.8316934954271638,0.8474049874869045,0.7895060607066257,0.7749961208343449,0.7885208491605604,0.7887412436639114,0.779234339441148,0.9432106596384404,1.0065477730489578,0.9810832504815099,1.151381891873182,0.8908135344809192,0.8695622978527646,0.9460018512476371,1.2551442425975612,1.1486128168033585,1.2540181646889024,1.3980520705149326,1.098004354954203,1.148484064916777,1.2539000819708757,1.279962719607678,1.0665647866163468,1.2956985692362402,1.3559977713561058,1.168921370955513,1.188060085549857,1.4361067642703602,1.296336839528774,1.2757038983124909,1.3880259613205042,1.1801756636763492,1.4979218974828907,1.3871459216091624,1.2751478230442672,1.4810456907235232,1.4337047432063768,1.6092485587696899,1.4439889058079927,1.3253379308040547,1.4171478477271497,1.4385120317394182,1.1175322250395223,1.0835095522378217,1.119390501161152,0.9539622816506576,0.8950721256712925,0.8965270115007592,1.0479397936511168,0.7929326332002969,0.8049927402810434,0.8090317440339462,0.8592733481769921,0.9482049502519476,1.08843117813273,0.8731648969901236,0.8696500571083517,0.9731492414985098,0.9203867924379241,0.8899138391490107,0.9370933880699698,1.0079517058541094,1.117843451964867,1.019932644086323,1.0303464116357368,1.3196855929907148,1.5145942345283807,1.241384238783501,1.1708660013378187,1.847138939684292,1.984498461352583,1.4833743624558406,1.2203235720997374,0.9359231569217259,0.8234390360806667,1.1186352345475314,0.973708977643596,1.0881608162576415,0.8539727212403319,0.9178568769943639,1.1086239483953024,1.2261284590718127,1.2979757429221424,1.1580506054630184,1.2540898487931422,1.08934576576753,1.4510032323937945,1.402241296234368,0.8616793281722301,1.2080123491698622,1.6981354604295975,0.971337868266227,1.008326448003639,1.1679718162173258,2.2413839744038984,2.528460421123243,2.890900048332344],[1.1864770903286825,1.2230187350637283,1.2482563646991802,1.1908159772765974,1.447415475647116,1.2579713364667058,1.4961145487258825,1.6380011731044704,1.473114133105257,1.5572272531031932,1.5298186398030607,1.676319327926816,1.8072562743348097,1.5917896365426913,1.8173794686030316,1.8896998705713342,1.9001756603099411,1.925803388566027,1.957787075792233,2.032867544761479,1.9565930425262066,2.0976860645121813,1.9110336203093636,2.110927283599907,2.037233824711051,1.9789038218879318,2.226967482722974,2.1022711756525982,2.0890343255501738,2.0753487799196626,1.9518143809631026,2.038430184191763,2.0147697835505483,2.0667118648238856,2.1263073533128454,2.100067638067688,2.260898908114658,2.3219075109920237,2.317380455173468,2.4286565917965928,2.3739733573580217,2.2545587965152083,2.3730517391240182,2.4091062010479667,2.4525262645168526,2.407198944518424,2.5160188092175924,2.4279046063538217,2.3602680263626064,2.440334143389781,2.4091557118501314,2.432454604657379,2.4332750241337484,2.319989540255769,2.308141635293137,2.282998525219769,2.2311275752016324,2.4933654886045846,2.270577047571311,2.3639015016172977,2.1874676890103695,2.107940802793647,2.0673199592549225,1.979791977108803,2.0042438561779146,2.054159568416086,1.8953595368889562,1.9195552294596459,1.7668969931995286,1.7237032119248694,1.6946455504635896,1.779858676343692,1.6950908328109147,1.8338014308843964,1.8622661725563259,2.3672418616028987,2.075799475594215,2.1051374061594528,2.127470562669074,2.1913884225461118,2.2869160997246274,2.404354058037673,2.3770366400875544,2.301978389296755,2.4372557658830396,2.3652992377042663,2.2467210613071407,2.3438783356313797,2.167967098144541,2.177568798773854,2.0223010943190745,2.123734650876326,2.026654689893079,1.9218870481140236,1.8549871713508055,1.7999554671702513,1.7528908754595862,1.8704621099155205,1.8237529126946879,1.8373012213007016,2.0308832764901528,2.0913907615234755,2.169580256872784,2.1463233048787873,2.6561816184901477,2.2398722204650294,2.0661055400028046,1.975525551295835,1.9866044296007608,2.1406947133627936,1.9679210878072901,2.035496325371157,1.8397510769281222,1.9356899111191908,1.846451990502519,1.8896564094762267,1.981547583520586,2.000699874947842,2.0483311119218,1.8724240284060505,1.6981224076645718,1.6406292989187423,1.5437187739146254,1.5646106469623084,1.5193417822220303,1.7451584854511193,1.703290617802054,1.8942200033185348,1.959919935228539,2.1885940663653956,1.92621202373464,1.9644929463215592,2.0852292791160267,2.218038344733126,2.181788303879276,2.1880240684388026,1.9518653534251278,2.135977957166154,2.1085896213463027,2.212456378402138,2.2958924324711214,2.3345964115635818,2.1235452419404597,2.1971889802358557,2.262846064760423,2.230813582183232,2.1751717877783032,2.1071683846821276,2.0703035862276393,1.8980364397065062,1.8693378433250134,1.727441537705816,1.9349626816283487,1.7079911407973571,1.84516267931777,1.8704689751339252,1.927452206445619,1.9646185274814791,2.0703567028668926,2.186967077434727,2.2520136240143205,2.3095637242208262,2.3542169806868203,2.387307199647741,2.3874722825233428,2.2707599388391153,2.2786732229299616,2.1516006607791676,2.05712971645359,2.181765994397748,2.195234456331027,2.300622664688603,2.355092140403972,2.3578378115347176,2.359991742111597,2.3619884315973136,2.2805864162904785,2.335044516869697,2.3819708176013585,2.3628756566879856,2.4200213948185945,2.371193373181345,2.3565043654413595,2.3276494752466923,2.3440946432942646,2.367837477924452,2.513268968127039,2.3956698528509586,2.3542124691474076,2.2725793161390295,2.227340785484022,2.2112963018479204,2.1843501612040455,2.189955819636071,2.0941619830008293,2.056235672352366,1.8451288324294453,1.7161700528394628,1.5795256791969365,1.6868158644824158,1.5279796070746727,1.6785350585046255,1.682242446842281,1.407599350941214,1.423379912903514,1.5057563681063253,1.1624076908434677,1.1678557916952832,1.279984522000664,1.181722080230645,1.049634073036234,1.071652396266384,1.1730978907801977,0.9992794169947009,1.0022868013866348,1.0305163919376983,1.0575325013839834,1.0459104572231055,0.9901330214712749,0.9993768525896596,1.044222727948801,1.2530880559280386,1.1535743261646365,1.6004747787166496,1.7422120487025428,1.4284259420384995,1.4823138390311519,1.576413189483006,1.4212494321058748,1.2723672236304562,1.6449731805670376,1.6207425483036417,1.386118100945422,1.4470001035955236,1.5523540323301819,1.325681151768211,1.4070145760674495,1.522158601361158,1.4608304974226551,1.8005712365324515,1.7490312941652109,1.68580250434893,1.9382841928240306,1.9049199268480919,2.1175906741190924,1.9236971281613506,1.8023528108958602,1.9437084424129794,1.9427421437272088,1.610305999182492,1.6032228943667275,1.6354121407203628,1.4396240983806228,1.3622981281486455,1.390507214495949,1.4767786088403017,1.1964512678717405,1.2050578836587735,1.172455375828573,1.2683558218423032,1.3885899285283188,1.4946090532937086,1.1856903245800123,1.2155375722431572,1.3208863647443503,1.1711341284803458,1.1251754012340474,1.216634298475232,1.1349377286588496,1.1877446212234684,1.1214007041241543,1.1739630873968585,1.3186176254293376,1.419479099218612,1.1936385533541385,1.123787976659967,1.7033000590375058,1.827016934198006,1.2898335036304271,1.1161682591179354,0.996323362480793,0.9793266930867456,1.0976887398696829,1.0126043822088786,1.0415898449364727,0.9804080356066283,1.1297212683892242,1.4486760898631745,1.5981132027344425,1.723002502635713,1.5704366020992475,1.746394889088642,1.6240454954171248,1.9932411631662983,1.8824310355987102,1.3468472972403585,1.7680596001635596,2.189487603863234,1.4404107426044843,1.422478218399525,1.6851178504874635,2.964460914820545,3.30537698329526,3.5551807840264624],[1.261401532898654,1.2609434655467189,1.2472549377360889,1.1358549820401505,1.3446884538462305,1.0885150129372074,1.2278193085748503,1.354840589557386,1.1585526156685948,1.153137266932276,1.1334458522183863,1.3061496502965668,1.3537052144862693,1.1433232306718917,1.3329670009720915,1.4079552374952113,1.3803575331682718,1.3748372037299117,1.3712853874421036,1.4197456568969091,1.3524033215729871,1.4778629520073303,1.426642011784561,1.5621522100781466,1.4521155308074694,1.3534817602690032,1.5739164664491174,1.4775134816970121,1.5137364335320214,1.5524042648234053,1.4366048149749795,1.541329007613572,1.531619133004577,1.5516341454712974,1.6020950926649284,1.5476641552925101,1.7244967228779793,1.7004433205565181,1.70808893858213,1.8572365367431298,1.751505764626092,1.601879107193591,1.736703454739447,1.7921703200329802,1.8880835778018212,1.9047386968635098,2.064397325865217,1.8506753678917003,1.7700381274400605,1.8701400404223985,1.8658965996243642,1.873823611815189,1.8814440484504513,1.7516528896119778,1.8101072394044508,1.6980901675068005,1.627995194562785,1.9218907505080358,1.6934487559395124,1.8714066575051322,1.6129578428497875,1.5350941927442976,1.4809300371474092,1.4250546907589234,1.4242662085848703,1.45439232460641,1.348180267150438,1.3499206029382977,1.2722002014341682,1.2500228241939901,1.2343055010381472,1.362646417613967,1.2245126335711776,1.379461781848448,1.33569835142571,1.8278183315873413,1.5173772901510896,1.5513893023349412,1.5579846867250533,1.6087580870758111,1.7326760820621832,1.8489385041384572,1.862198988866699,1.7828343127947608,1.9127028353722604,1.8214941969009202,1.6686250484687581,1.80108243407167,1.6002972547349659,1.6282329507709834,1.4865401764301749,1.6253321571637087,1.5333380759756607,1.429670067639993,1.3637859626419082,1.330279898981975,1.302127841703012,1.4137522826882587,1.3972479521801306,1.458982360891275,1.589876843383327,1.7072815095224165,1.7425925889848306,1.7905071619532809,2.3218391742873457,1.927526276800924,1.805267587322783,1.7615163925993154,1.8115385576393448,1.8888476057956116,1.732242677682966,1.7112086638598012,1.4946301759340197,1.5067967699628084,1.3620209845800395,1.3461839665226591,1.3951219763516576,1.3174280507076652,1.449263114638028,1.298471318899887,1.17826723517681,1.160145008500896,1.0600586746582183,1.099426262564129,1.1136047557410178,1.34866568861606,1.4535981017697772,1.6161815830018422,1.749492526859422,1.9236668851382526,1.7610463290363978,1.7902872993039987,1.8647522209914507,1.9410228682341528,1.9182159791804412,1.8873763614278165,1.772086701148525,1.7785349226169938,1.5676372746327234,1.621141886725995,1.4499893273113895,1.4545589087449844,1.3672709240526217,1.5084574571948652,1.6246771257971095,1.6317471204165215,1.6048534545009512,1.617630992726925,1.6407069046181377,1.5101259589255611,1.5478939235236087,1.4277999419411682,1.6633522879224618,1.4846177681607642,1.5233054195184923,1.515501503103607,1.537665993291788,1.6150960761060593,1.6321801728588152,1.8048621935636309,1.8188545706200778,1.7946093934479836,1.8194280627938437,1.85326396820188,1.9015031776605829,1.7601247176847963,1.8988897403665135,1.7574358593593944,1.8064076349198044,1.9217284650469115,1.9256159328976716,1.9182964138430778,1.930984682326915,1.9257282417521735,1.898766844511396,1.9229369401147767,1.8077981362784803,1.866826997286803,1.9011482162614344,1.9245783627718853,1.980482290481067,1.9981067757749196,1.9916162801816357,1.9519305134170968,1.943295605703104,1.873520642557137,1.9843913479336144,1.8862384099228058,1.7871138536075626,1.786991110732049,1.790140034433481,1.7717192815802738,1.830120349929965,1.91754170380002,1.8689126934509568,1.8856353977244782,1.725230404552418,1.6257125983029168,1.5480118679420456,1.5990523531973464,1.5028609713826815,1.606020876533553,1.5982796596498907,1.4125362822608454,1.4282379938421113,1.4660229104332936,1.2046868543316034,1.2487757286249153,1.3041957814578415,1.1966842683725452,1.132549331046934,1.1601292900298232,1.1929551520708246,1.0663044340493133,1.1071833497173098,1.1414959040432426,1.1762096949583052,1.190008696319982,1.1439969695145789,1.158075690241796,1.2149666350186954,1.3797819534864924,1.2614877160782652,1.6708746796360723,1.8175923985495546,1.478995495327382,1.480621240709004,1.5746432483146666,1.4635803164195664,1.3173002927727178,1.615122615986749,1.6444558221366574,1.4186873140150684,1.4466726382750414,1.5762577312135642,1.3693398141445643,1.4552309932781744,1.5085648549273236,1.4790727711192513,1.7282988565136455,1.6792698418620544,1.6369476544414683,1.8437445986440169,1.82073355696801,1.9844294323287925,1.831091784578479,1.7589238005754704,1.8345494417870396,1.8222443416309435,1.5527266665934498,1.5386082293262526,1.545486831789802,1.4000270636512735,1.366948076322697,1.3655422220900517,1.4444168474851102,1.228105468305498,1.2558596434381992,1.2478901413177428,1.3301678656180602,1.40543262797751,1.555310245135318,1.3016206480767447,1.3053985258627496,1.381131310710201,1.29933182423102,1.2705968859361614,1.324282983177192,1.2627923572020325,1.3549896430871688,1.3027933967329965,1.305134137194745,1.512155155355266,1.6122397878321575,1.394319507213209,1.297450280618137,1.8145619848438792,1.949702585459221,1.420897222823804,1.2474037489451375,1.1364855322186258,1.0645993464558667,1.2175145125088418,1.1592802415449934,1.211626072204049,1.1417962081630968,1.2414509244290055,1.4489192271982072,1.5326596864609816,1.5824673387552293,1.4992875956836218,1.566301699605381,1.4439191723863178,1.7792989664225207,1.6623776477996144,1.19120385862843,1.5365624745965976,1.9198394625909325,1.2769322765899138,1.2547367993879073,1.4618991312346692,2.698378018414005,3.098462824121305,3.440240643419674],[1.0716804624809781,1.0531593147701608,1.0243875843206312,0.9225560262220547,1.1384302571429052,0.8771741601911401,1.0300942968119582,1.1808618024808935,0.9946580955749436,1.0261404923943944,1.0267303707914257,1.1763842002323035,1.2560957963171286,1.0638105154300543,1.2780744662342036,1.3456782084684584,1.3432529016050112,1.386648445496354,1.4437109416125453,1.5030165402398838,1.4797519178686718,1.6527448212346525,1.5874983943431122,1.7543340998426389,1.6071061983371095,1.4735792022790515,1.687209178919139,1.515551321787195,1.5241424117737488,1.5219817308673242,1.432472342422367,1.5044927153705785,1.506717529836607,1.5671882905824084,1.621021601424333,1.586885975479537,1.7387755157757903,1.7766897313079457,1.802808189156437,2.031566090611819,1.9361923517913742,1.7688658501883392,1.9630155945501764,2.0333726641650305,2.1688283355725373,2.188858352152036,2.321170242856006,2.1373683960970222,2.05084454098054,2.219537604200918,2.1842014599625856,2.1455043325391254,2.16523249787259,1.973612334070503,2.022240990565619,1.9711783466846,1.8972743437286161,2.1391637444701384,1.9202018759716826,2.101644032394373,1.840687535988791,1.7357234060936353,1.64321088595703,1.612554413502592,1.6251882086984635,1.6044577683491825,1.45573608197265,1.4221136712451894,1.3304912942845901,1.2527192486349414,1.260795099496907,1.4470537775353307,1.2568739216059743,1.4382100357583696,1.3855340319810474,1.892834007584948,1.6380698928524196,1.665324466099475,1.6851679520291192,1.766353354330736,1.8541644431556745,2.000347977418836,1.9385321349548665,1.8894993234592852,2.0404295061339797,1.910111784659347,1.776981941503748,1.8514835034384134,1.687790358327098,1.6942432061433523,1.5491015024986257,1.679040265400322,1.5709158246407984,1.4362434123252472,1.342979449772872,1.3071495830394724,1.2603205688484547,1.34371118288314,1.290669084514381,1.3353491119616172,1.5071407642327086,1.600327841530552,1.6860547604836285,1.7074606411296671,2.2907323513303455,1.8089796425398577,1.7094697812308062,1.6928984670825518,1.6851713523696497,1.7186040908266274,1.55446624970523,1.5439602709051157,1.3200362081483341,1.3452400228754908,1.2458607936402861,1.2536871769586777,1.3648764361266952,1.329673801440613,1.5295643636642433,1.3245014536535828,1.1777519260156637,1.1026780980563522,0.9912948310408366,0.9939030580017342,0.9637249834527403,1.1530121811733263,1.2452173495705916,1.429991056759627,1.5890272432615689,1.8124254842082348,1.6959076483854396,1.7859398032502742,1.9319735140634635,1.9693654917472594,1.9154725625496085,1.7716725175304522,1.6273131006003234,1.5817545877427337,1.3838639850005574,1.5365619748978188,1.510604628226777,1.626080182094065,1.4601354732145422,1.5309113886534282,1.6991921043014229,1.6392487336841344,1.557494136104558,1.522180438009344,1.5236575107757493,1.3575242676412569,1.3760719771291503,1.26204140530945,1.5071507775925521,1.3524740272008313,1.3598786736299144,1.377933026629605,1.403189327774357,1.4875458973489781,1.529514429400567,1.704152342863362,1.7392235785840762,1.786204593138016,1.8118128767239987,1.9339096879987014,2.0508887618689964,1.9126433041009834,2.0959262688140674,2.145387202588497,2.036011242412391,1.9624839912117482,1.9417656641425598,1.8665340251614575,1.9735590243441468,1.9548025417209676,1.9225184724486148,1.919378038689389,1.7811357520143518,1.8805223655336218,1.9627644849682675,1.9892275861755948,2.0804561334147094,1.9834221545401791,2.082632284363363,2.127308528051142,2.1097047721895272,2.112907097219583,2.1982661269773303,2.2182591700984178,2.132414765261472,2.140816741718286,2.1590525357788293,2.089935640541697,2.118029452715905,2.1248922804318315,2.059030810080735,2.116984742349751,1.8002997701173777,1.6673035290889215,1.5171166207511584,1.5340774530448367,1.4247443454846658,1.4753029695553768,1.4436143838719917,1.2716079870016144,1.2729238577377373,1.2643304749277096,1.0428182895811133,1.0897332159173982,1.1139205134460077,0.9939839101582683,0.9667054316984627,0.9911267276219309,0.976029442305279,0.900413556404007,1.0164561181495924,1.0917907967114202,1.0869862159055077,1.2061780254543566,1.070246220096673,1.0685180565567312,1.1501791871263523,1.4328267058762374,1.3079894389036462,1.5404429836201077,1.6773277569621499,1.4234791752143174,1.440996319318877,1.5647671508304704,1.5206895989661051,1.3392141925803123,1.5788142019023919,1.63512678438573,1.408709160271274,1.4487647828796217,1.669396826355232,1.4585690562728195,1.507438602606373,1.61003519302062,1.4583260086700476,1.7593545923524296,1.671175260213269,1.564504013322885,1.7613520748618723,1.7298964513257977,1.8793054910623146,1.7258531669486954,1.6472395016668782,1.6844875435404711,1.6683146745435606,1.3800518803277542,1.3413131784448193,1.337065937697667,1.1877203148841415,1.1651836327417762,1.1430350306208952,1.2182063144522186,1.015386561420042,1.0600768350381464,1.0804930075617654,1.1722621578184382,1.2609421183782572,1.4247155754980976,1.183137479973346,1.156039805624561,1.270488707607193,1.2102743411583976,1.1603289676486317,1.232470209152349,1.2606653787391642,1.3310988566648694,1.2507274656620488,1.2833531670425633,1.5191278494814897,1.6466636746995722,1.3714574416804937,1.2892934710660942,1.9267713638400914,2.0333236331303866,1.5005431987846705,1.2469922512047018,1.0708977220546758,0.9510713422582792,1.1710930331227007,1.0963107162513344,1.1895110862611682,1.0578351116770124,1.172964490637384,1.3137637367321813,1.420570114345499,1.4003188988068138,1.3240640748704176,1.3584869580052055,1.2035233847545073,1.5503124894271725,1.419944713918177,0.9251614366804402,1.2214615042153887,1.6484090657400523,1.010261006503872,0.9908989690830767,1.147365654402421,2.3179892748579856,2.738507655652259,3.147503950490738],[1.0659055092946739,1.0232015875394112,0.9550962829342179,0.8586832804852836,1.0344867883415048,0.7779683440912594,0.8648603029196598,0.9745753197611919,0.8378463291021836,0.8427061194017185,0.8309995734099138,0.9496919147816713,0.9982783782626652,0.8544881396781155,1.005075284142999,1.0510974693260824,1.0782934321322395,1.0871119460107397,1.1553750208737483,1.168105718818042,1.1925557157810922,1.3427592530329364,1.3577394299175936,1.5207786360265738,1.3298242531149875,1.1807931965314933,1.3172726564047852,1.1703026228119797,1.1815408266608092,1.1720236314774963,1.11811478604156,1.155462300449878,1.153615630447881,1.2053070893456168,1.246094247188405,1.2178377268811695,1.3446853417901128,1.372449364099214,1.3859464059065074,1.6139141835373714,1.523739658202455,1.3944686805488995,1.568438205347669,1.6607088562207346,1.8472957067252924,1.9057377154673745,2.084378521252417,1.7944211810742576,1.6719455688075704,1.8598507754868314,1.8200001018950351,1.756818629085282,1.77266328158563,1.5705123324159729,1.6740700089745757,1.5832746763425385,1.5097741857508866,1.7464526330384584,1.5580855384694223,1.7945617459602432,1.5108474308744047,1.404631922023155,1.2919721214582838,1.311175764305669,1.3229497697051804,1.2728329229913424,1.2224504238069345,1.1213328221607097,1.1023543186812506,1.0089937779644453,1.0612382828436535,1.2863771929084356,1.0265804698512393,1.2185211060553438,1.1050673397170052,1.5995443930325923,1.2753011460091865,1.294342816933147,1.3050527616257857,1.3905261823813317,1.4645553318651823,1.5946326054505717,1.533566717443835,1.4797161013027598,1.6184236722578027,1.5015209679859558,1.3793010583572816,1.4628633022104909,1.3097526895029845,1.3371164867414076,1.2005385093644563,1.3556381116113327,1.255357595577452,1.1166393844479265,1.0429075286791814,1.045590870458052,0.9976198031599615,1.0473689600544362,1.0009961805008833,1.0645124196493965,1.1677278886581843,1.2844898370830578,1.315173326134228,1.3743890339517708,1.8920627237774097,1.4868596452736964,1.4438516046610768,1.4403991211657508,1.4573904560040425,1.4610972495253014,1.3510869217200292,1.271655707006996,1.0675115933996457,1.0587004805425129,0.9923012593401201,1.0076994252374614,1.0853649556732565,1.0597466529104196,1.242149911423186,1.034780652918861,0.9393381310277362,0.9193872406638319,0.8587185597899892,0.8444727563148798,0.8081189441828153,0.9468701151903962,1.075996352894819,1.210168592922923,1.3562946022280586,1.5109400531839463,1.4754413355776619,1.5414682994888043,1.6552413545964522,1.649261834223625,1.6043633020650547,1.461315645595797,1.416778565267616,1.3063235200551513,1.1044910134276626,1.1849590282053006,1.1950219583637909,1.3096432650595815,1.1397749451911838,1.1811996131720386,1.3086475215384834,1.2587308756380977,1.2037025469262272,1.182998362008355,1.2018387101920425,1.0746244163382868,1.096818500243956,1.013662117908774,1.2700812235299963,1.1893990639642273,1.1071513518986331,1.1001070518298866,1.1102366473200311,1.1796807825184794,1.202811269317994,1.3489753230951547,1.370898736123736,1.3828842668537618,1.4061311532136787,1.5171879185354245,1.6283198095981062,1.4759026082314615,1.7192454686010816,1.7950473456939307,1.7707220685882248,1.6573844207162698,1.6277483157883492,1.5047915125244018,1.575853742955,1.5588321209972338,1.5186346911808404,1.5210239742017841,1.393138750879496,1.482311773726173,1.558451188158527,1.5791291329695825,1.6755193587844908,1.6081821813038604,1.7140711538577653,1.762892430107468,1.7143745721379096,1.708664254672835,1.792320499007112,1.8327641369795389,1.7479818506264202,1.7699200590201591,1.8146613213390406,1.7204744160972494,1.768164665772191,1.810257587366379,1.798732185023259,1.913829322281878,1.6322590603822915,1.498667312390402,1.3921634355609696,1.3860599074055007,1.2985737308074343,1.3117640771079306,1.2906984887398685,1.1857549172095059,1.1792988651319802,1.1560054805533662,1.0202226193093684,1.0658555345612586,1.0543847947146645,0.9619430527127797,0.9925087659067537,1.0177711776415455,0.9612637177508732,0.9491088198578427,1.0843376094446282,1.162214298828839,1.1399635110383048,1.2533341193699017,1.1109552823695805,1.0988230067229294,1.1715078143562134,1.468114404331778,1.3407103103655738,1.4721980843821298,1.5948833504381912,1.3226435109925432,1.3196672232274664,1.4334778183092094,1.470909365567201,1.2854683175337935,1.4305703664816294,1.5049015167730506,1.3322280837966793,1.3580645635671182,1.5913760433247537,1.4204573088364567,1.4546715337711011,1.554769504130427,1.350050654477177,1.5927550141177491,1.487604821878008,1.3858827754442624,1.5035270648938985,1.506436310035955,1.6202067574686854,1.5073511247820384,1.484779845483729,1.4786034929926795,1.4637929926884785,1.229745273142326,1.1827758214110546,1.1876070997171257,1.0774592925235735,1.0838456935277923,1.0442380516978136,1.1448680751943685,0.9847509519486571,1.0283011176715482,1.058927040538115,1.1103734729041714,1.1621721476374864,1.3191933995440746,1.1501281005836226,1.116754356697194,1.20277534117136,1.1897014020782166,1.1558542923527029,1.1938350300693397,1.244697215556466,1.3234653591331311,1.2450042277083337,1.2499014215462343,1.4764876966775091,1.6213905800329407,1.3537648986337274,1.3042532162958949,1.9080376899013671,2.059305383968003,1.5402862186494757,1.307324153147084,1.117366101630785,0.9909034730801539,1.223912600867322,1.1434177191783037,1.217410118073855,1.0579048636764499,1.1415199244999,1.2503537953981818,1.2990958094520313,1.2496561156981632,1.207639527667059,1.1788607938005575,1.0445240547466137,1.3202701307895257,1.206987465408521,0.7923703709939306,0.9716203248470717,1.3673163631728378,0.8630182577405291,0.8930651256853867,0.9311750846243672,1.9357811830699714,2.368907915185908,2.825415844317895],[0.9387659820491279,0.9118692345347885,0.898010283046535,0.8565802016667081,1.0431343007044367,0.8968314887720762,1.072717498907223,1.1972393402880412,1.11451718124956,1.2384255233595012,1.2562286340759627,1.348783602792372,1.4693888941479782,1.3376726207313872,1.5404627065751824,1.5987225153933429,1.6360631002180226,1.7496268187072408,1.9249247803813003,1.9299349778962065,1.9891247786861048,2.1493240176795494,2.08988011440338,2.2593875322341668,2.1166365260912885,1.9795146073644319,2.091260044161477,1.8875357088965816,1.8472752459137802,1.7668248776268811,1.7527737991546586,1.7184540724652542,1.7284741124008196,1.8602403307177713,1.896642166123398,1.8936205527447498,1.9772391210477749,2.1020327655423285,2.1024442675787407,2.3235363660170756,2.290854908580405,2.1914479133363685,2.408347316594643,2.490562978451297,2.674340046457754,2.6799846872036572,2.7729055764624184,2.609052252075398,2.4703694816162205,2.6729262754262773,2.571601231589504,2.521223476692583,2.5617228549676385,2.2996956232474237,2.341888421231231,2.3828418446556276,2.326402758557705,2.5098615915027107,2.3378065504912553,2.5413502717356784,2.3027405800714527,2.2041859606267105,2.0929432198393556,2.1095957560112115,2.1381223761851764,2.060789089504267,1.938690876695584,1.8716392519833775,1.8137395702077808,1.694744157518695,1.737585748462511,1.922954220903047,1.7452789401318838,1.9377911007017132,1.8251189042434717,2.32790843656132,2.0635166702405665,2.058453010542549,2.0489506322440976,2.1365511861213635,2.1534245204909155,2.28421903258961,2.125284458210134,2.0636742706520277,2.2382136686546796,2.134716262120382,2.0839860298120234,2.1146223012671332,2.023191653534847,2.019031332331087,1.9045450112976496,2.0800732227661713,1.9198690995905605,1.7379776677725312,1.6249552906202276,1.61226783850895,1.5263239413692427,1.5647158765028104,1.4576711050837112,1.4188505877611453,1.6398579208808022,1.6387829878560418,1.7640028132159684,1.6950218331981752,2.2768385453918842,1.7517098471662218,1.6100887440044578,1.5588533855016402,1.5330095573075757,1.5858313399412063,1.4651706993910194,1.5252437238516936,1.353563780179814,1.4511097191642897,1.4579459034769646,1.5183294632401538,1.7102078944234647,1.7787576774732312,2.027568786198616,1.7414235041084896,1.5955005482259181,1.4429109170649934,1.347267995994104,1.2627015883663109,1.1541307183370415,1.266010505685892,1.2255407224248844,1.3903544970869888,1.4800419266389337,1.7182716706698042,1.5670800897823207,1.6638225072593655,1.8637873996914858,1.90556227442531,1.8576417774305525,1.7432200663985522,1.570696667910463,1.6109971093708464,1.5626205218251874,1.7470138628568233,1.9691236305972861,2.140764452081621,1.9113922127730774,1.864870129854521,2.0036131494115614,1.8969172584257896,1.7765842862454164,1.6900987259073834,1.6095686848356716,1.4195192677072228,1.3639691588655554,1.2827858378177168,1.4856743118168938,1.3086497344872008,1.4048834218094386,1.42612802610676,1.4864290120924126,1.504013726186043,1.631222727454477,1.7147903591716478,1.7958348806844284,1.9414098992981808,1.9781944692079387,2.1256657024797496,2.219972317019331,2.0840684144863078,2.1985163075703857,2.3072396957900416,2.0425808259956217,1.9656574547607384,1.9177928083843632,1.9074475912706252,2.040990808007889,2.024366034058593,2.01661090649968,1.9782220414276812,1.9008959303954815,1.9816758882723842,2.093635719932929,2.063832675172342,2.16793329179892,1.9797376933697097,2.09933222230356,2.1810831488515703,2.1860208608297005,2.307332689184617,2.4599685786508583,2.5198383827350566,2.5320950436127054,2.43636982911639,2.4377495630916606,2.2938306410611515,2.220347988629167,2.129856170315966,2.050647959233518,2.096483752927564,1.7500219034239082,1.5783883052004322,1.361064939410828,1.3782116256010475,1.2502114398297821,1.2649881634288505,1.242221444442895,1.0788462240860126,1.0604066602378714,1.051678769227653,0.9065369841363765,0.9496409755110794,0.9261665776306618,0.8452133131578728,0.9043154820634508,0.9326963749340073,0.8411496364908287,0.899284053393789,1.0976730197067206,1.1766214432724704,1.1508232335992132,1.39332805144903,1.1197565177139195,1.1157875102678467,1.213555840117636,1.4739317527138025,1.4366711775118977,1.349766544314946,1.4109606858987758,1.2576060666423787,1.3113149809886346,1.4405236156449637,1.5462253576761906,1.3288275902228095,1.4247162060782563,1.5267446043334267,1.3616797228283737,1.3602308228065638,1.6845788583711256,1.59299590882322,1.4904584539244277,1.60153813364888,1.312218153789692,1.6371693140178614,1.500309871993468,1.3651376474227819,1.514062430568698,1.4768563383469215,1.6076089356639258,1.4713744908052546,1.3843115516398194,1.4237284259042395,1.4252942366765622,1.1422928545003705,1.0981527404792186,1.126889403522137,0.992973177465996,0.9834527500262643,0.9509920988309638,1.0719514589994263,0.8716189138769564,0.9185357042306787,0.9646023961519372,1.011734278198984,1.0801783753412648,1.1976434823264561,1.0707875903689665,1.012200983356178,1.1456778397181984,1.1396881994200245,1.0849976952989426,1.1070883170766896,1.2930917953376728,1.361652689399084,1.2443216846778355,1.242581150863683,1.6303994941020197,1.8004912991173592,1.4658934140070845,1.3734029383928281,2.0764441229758535,2.1735128400067216,1.759354379286393,1.4044938940207157,1.1039463738457778,0.9282872432480941,1.2197054986343483,1.1031204892707716,1.2568582367823349,1.0035994409294342,1.0485866024950583,1.134558294671252,1.2558880790336042,1.2633285791709696,1.1570302824868182,1.1953583885862706,1.0312462433947929,1.3470315053309074,1.2916225914673467,0.825172001343059,1.0613300497843912,1.552951071274133,0.94559976866413,0.9989886026337583,1.0953240121521264,1.9856065546355448,2.341234782820649,2.7646678472428663],[0.7496679656665127,0.6920254724282309,0.7574713969341188,0.5767255244892967,0.7054657295699206,0.6921030414137851,0.5794360433125193,0.6526224564524686,0.6120078009615263,0.6242378317409458,0.6309645045168627,0.6790157840186428,0.7150651130498545,0.6395312358756123,0.7449466922611151,0.7767858311024115,0.8551391476341759,0.9081730471364559,1.0637069821789988,1.023365185344067,1.129123637230301,1.2762578031680725,1.3267002520567934,1.5133095864846675,1.281583369130736,1.120946395536146,1.1581815498799977,0.9749454860933344,0.945825037928768,0.8492846463940924,0.8559045798561261,0.8061007602769155,0.8138749107781997,0.9129331580536872,0.9385262214717393,0.9548274893189209,0.9979050788456347,1.0958532882596623,1.1217497725631922,1.3535835985419444,1.3411641431615617,1.2566227748218393,1.4300767848974951,1.5755321676953733,1.8387978873983661,1.9262764444090497,2.0654283625481074,1.7302110585200174,1.5651264691779827,1.776471286413534,1.6958743260045328,1.5886067257012542,1.6328476866831496,1.3788571625692254,1.5260887567658288,1.462225846283138,1.4003335274448263,1.5472477585934947,1.4152033862815603,1.7789272850075781,1.458936459054474,1.3249256886636336,1.1666238772121573,1.2899358261851823,1.3185983086916935,1.1634706984889358,1.1642813606769506,0.9962557102151436,1.0382486888176612,0.9139430095507722,0.9954594016244285,1.2509726176751363,0.9561195482003296,1.179272721299699,0.9737575072170687,1.4468143008801084,1.1281745107158172,1.1066006750436626,1.1073098741573788,1.213390774864433,1.1898291833898733,1.3038783452858982,1.1815602317292742,1.155809902807509,1.2895409016198285,1.1748204806219176,1.1269553533170982,1.1392431794580253,1.0729239143688543,1.078094647665136,0.9813769366118736,1.187760830456702,1.0417578356763963,0.8576441920006203,0.783762225986358,0.8051143970589371,0.809118727646484,0.7324701714749361,0.6629563424313508,0.7256969124743982,0.7589009891166952,0.883739026813682,0.8904477685797196,0.9577699390982755,1.3266985973012801,0.9936883153596522,1.079752764210562,1.0968359875355478,1.0218731979334765,0.9490441731697434,0.9099625964455036,0.8184727566222293,0.7022926151803139,0.7059586343675032,0.7255936037457604,0.7861417806968767,0.8981950142607247,0.964679786262825,1.1735901577773242,0.9002462976268494,0.8430788041122419,0.7803957903001602,0.7556992821905701,0.6885589993827395,0.60877342188468,0.6322267994844323,0.7576921695210694,0.8085057504462569,0.9172098468120911,1.0218968536889808,1.0883219934444381,1.182807398045892,1.2630346478930674,1.219331042344217,1.1521542277779104,1.0019635997108256,0.9973702963196114,0.8924957154307825,0.8251103484244983,0.9214512032337147,1.1324438546748428,1.2963722976463687,1.0474020795696755,0.9899800133185409,1.0824993938524126,0.9716853444786694,0.9117665057854973,0.8111673486683795,0.7974830296055283,0.6856280150859518,0.6999551059800745,0.6577868137817776,0.9000702073804314,1.080414086572745,0.7901752801190967,0.7123139320914429,0.7116079165761923,0.7668168643295458,0.7829175443484542,0.8860626600002155,0.9247167368897602,1.0140422744536481,1.0609731483215257,1.1929301379194297,1.294971287457564,1.1924325155991335,1.3582776208490908,1.529884358261532,1.372422181665338,1.231688552078077,1.1759138893222307,1.0903816238120427,1.162449620229381,1.1414285054769537,1.1072331576610768,1.0684069121878623,0.9841218841756638,1.057553750835055,1.1632933425027177,1.1559606383026892,1.28157793584596,1.11228486302869,1.279439622569433,1.3900176272908036,1.3336747246256808,1.4221428179065934,1.5354415191108581,1.6552006072912142,1.6222000212670578,1.5960995936262594,1.6412665336310583,1.483118332056313,1.4468835732922551,1.4152100550927127,1.4475824735321694,1.6910265362634784,1.4137016141663132,1.3294478949777013,1.2096161979495186,1.12346482439793,1.1550672470223529,1.0543427700371952,0.9709595441852743,1.0348568617428402,1.0713541825779793,0.9423316193707615,0.9850917803658118,1.123053835577173,1.0486633057784789,0.9643169170953322,1.1373590084702492,1.1924810265759305,1.0048480779431692,1.1627033959966337,1.3903870375054834,1.4504099631515563,1.464132487098275,1.6805041014152937,1.418835482098614,1.4337764457444178,1.5220638804071072,1.7427806056693176,1.7270454753315685,1.4347107205850778,1.4801158574304476,1.3684782795380364,1.3727437189591252,1.4566305845110832,1.7259501437883253,1.5180391856159838,1.332408586574259,1.513033569653944,1.4439772884271114,1.3994942143039675,1.8165846487242512,1.7689795337838143,1.573593808795377,1.6362701651688323,1.3012308862975075,1.4664539815159834,1.3004592932492423,1.242830023499919,1.2337980858978963,1.2834067825218483,1.213612439409939,1.1746335495429074,1.229100087338574,1.1211387184742,1.0662451679503342,1.0253214591038387,1.010431531751665,1.002333790258423,0.9858473459341897,1.103533611700619,1.0544259738919448,1.1229313890033574,1.122512841017245,1.1845085671040512,1.2344129380539923,1.228795420509973,1.1783063019694933,1.2911422715444487,1.3259872937185824,1.2267813997555042,1.3022709628886073,1.380219795840323,1.352660568180265,1.290896822651188,1.5508020545772585,1.6054626775284335,1.4816518224533566,1.4373210816010376,1.8584701917692183,2.0172177181536948,1.6979014971133877,1.6192769695601927,2.2636707425857354,2.316366242645586,1.987106371731495,1.6072539351364517,1.3423388062598998,1.1184438415782414,1.369806169987468,1.2843435582802603,1.4629295795258943,1.2159710452315542,1.1546655757440483,0.914941367134279,1.0121942809079765,0.8405489841829856,0.841394962943625,0.8489939781809982,0.9190966971954265,0.8813946606477214,0.7898526773149336,0.8938900668875969,0.7820072757452267,0.9118800023836835,0.6952767460835251,1.0282575519606907,0.9002612055144539,1.1274137762829661,1.7208848942715083,2.2765246385606837],[0.6249559684065674,0.5736236977436925,0.6480178130045471,0.4708280582289375,0.592825659546655,0.5543883769924772,0.5011685973711572,0.5822447118670958,0.5416576401486656,0.6006989520124756,0.607180597884024,0.6612473972819027,0.7365123328342558,0.6888888126787687,0.8626955278018685,0.8716141678885713,0.9413771541262752,1.0416420556129273,1.251839268695946,1.1937587679706665,1.3049208477712695,1.4562444852762322,1.4785565577293642,1.7141712865151184,1.4399079321626875,1.3166575669915035,1.341924966670448,1.1305926126621881,1.0722116994134792,0.9586502003439755,0.9843066734559706,0.8994573392581207,0.9022719473769231,1.0227010739856124,1.039702039101186,1.0766524880017438,1.1026375627255414,1.244641972319771,1.2564866460154953,1.4561210084875296,1.4914417309332029,1.4280865728605747,1.6019421328882033,1.742245054604602,2.033475628240648,2.0969778677896396,2.252152430854694,1.9115895900343938,1.7117025986178558,1.921356055336483,1.8236694561282876,1.7226505943186596,1.7427950387656053,1.496858789147601,1.5875130317304327,1.589277537546921,1.5438931926741981,1.6867915169239271,1.5433386962220474,1.90462835422193,1.582152276332067,1.4501969933818692,1.3070185691063687,1.434666816198518,1.4426655032144788,1.3094439987530258,1.2993069442245218,1.1631912911799402,1.1931289934252087,1.0512431316868294,1.1516139464698545,1.3804993308868119,1.1271569191164543,1.3524731638769318,1.1228619327714568,1.6729986199794684,1.2853046482401334,1.2460490425106032,1.2308512293096554,1.3233371902500388,1.2870069880830068,1.3920567342135923,1.236511799827644,1.165749666377226,1.3525192523493188,1.2512470322185039,1.2317002051842072,1.240926354585121,1.2005014424507598,1.1930209084302321,1.1157291457952905,1.321548258959242,1.1829491044700169,0.9696992648129833,0.8828443631526325,0.9048662188046019,0.8761773001447221,0.7943101613476371,0.6979233706880181,0.6964571510059713,0.792473946747219,0.8514510300609887,0.9091327884365449,0.9195114125840794,1.3865956188599626,0.9798510999956015,0.984542901909913,1.0025101546978972,0.9440561331548052,0.9150177538943547,0.879980579314969,0.8127164216109426,0.6810138766566105,0.7440241191880285,0.7758093044448997,0.878126274719559,1.0412723543449747,1.154934843019999,1.3937721759490165,1.0591889998476427,0.9774042080213751,0.8580849023110372,0.8183625840202677,0.7049402472892219,0.5780679637285944,0.636784860179469,0.6786714767138173,0.7840624354111712,0.8793878642798615,1.00347815898416,1.0234691590105154,1.0828827288696914,1.205837587765415,1.1764955086693092,1.1451751976703943,1.031776565089487,1.0271297692160368,0.9773972406571388,0.9377003364044071,1.033325912992147,1.3393104353508463,1.4906534588559563,1.2327153303448866,1.1360271516262284,1.2231148837641839,1.0988397223804287,1.020415539221953,0.8983794629633272,0.8234217551790204,0.6829909416864067,0.6451556335095185,0.5846633543440305,0.8138779392721343,1.0412119349448206,0.7915860713005914,0.6548195568390353,0.6986166103634861,0.7227036756332736,0.8142913577050425,0.8920349706715062,0.9795427344438619,1.10169147270265,1.170734783894453,1.278047304024113,1.3850911329482742,1.2822456819979435,1.4213587612263605,1.5790700481783673,1.4232238776720767,1.32392544210164,1.2324797330247936,1.1742746866822555,1.2266757119895384,1.193715144105237,1.1600730443428862,1.1087517830187354,1.0474990076747883,1.1007931284519021,1.2078354306786572,1.1736527289380068,1.3160501740948063,1.1406603263000583,1.2840658478996505,1.3842291528705124,1.3588199169465387,1.4672001286999687,1.617859384168998,1.726160858059911,1.7672667864267904,1.6761856625575657,1.7162343925255914,1.501061108407202,1.4605383610007712,1.4255208295161619,1.4023752465741597,1.5997690054453209,1.3230216933103307,1.2001666394046118,1.0840042676075863,1.0088597565151374,1.0052066892610074,0.9092203873514176,0.8616353694245865,0.8898719388129516,0.9092664906225701,0.8038979625432117,0.8574055717439164,0.9854409538747454,0.8939051486015681,0.8413105269624086,1.0265378037382253,1.0831924180506844,0.8908360817837171,1.0777258503448366,1.3395586671215491,1.3931145819175628,1.4063090187938525,1.6211104879896003,1.3167401752750334,1.3285065895088797,1.4106393995771764,1.6270157122576614,1.5920314953311103,1.2893975816692225,1.3527380541406206,1.1976767335871106,1.2242358060587306,1.2789053581780443,1.570720075560399,1.333085819022158,1.168417264397439,1.3659228229009615,1.2880283058052098,1.2306359364150299,1.631025671940546,1.630625370290446,1.4238848959935315,1.4928725219611663,1.1485312127033127,1.312892349255011,1.1404137054519445,1.079967859317547,1.0792678684301278,1.1216366178973163,1.0582004595686019,1.0118229421576637,1.0343358502493256,0.9502644891578985,0.9291611708173386,0.8566164504504024,0.8406164952379147,0.8481248685036968,0.8302990528854729,0.9385734604596615,0.8959160916277821,1.013292781252488,0.9884859011702061,1.0462961638412793,1.0877759693113846,1.0540788281661575,0.995714206614799,1.1098458626588488,1.1713972879147654,1.0713116834749237,1.12384890374556,1.2255506974624482,1.2151410405091108,1.1326167754838607,1.3911531372592547,1.4832021700442364,1.3531845221554957,1.3010031706746723,1.7207547813050839,1.9001863484579207,1.6068657912328872,1.5247841909367406,2.1737076137064695,2.258858907705253,1.9083608216174253,1.5621988054453044,1.2567489077617748,1.0372172960088724,1.3362223774322535,1.2019310458378678,1.3845733627853751,1.0811896362027584,1.02771227305828,0.8338187527752355,0.9197766071427724,0.792919951031276,0.761731588110282,0.7505429538811744,0.7425276970750265,0.7774223545754871,0.763365197742326,0.7233265087792599,0.6594762985423047,0.9634179390910952,0.5545514201773775,0.8999278829898194,0.7813754184616152,1.1227958243055975,1.5578840441219797,2.168558953096763],[0.6368621623222328,0.5996478019229514,0.6566977224325625,0.510999935888425,0.6671611658324489,0.5285646035716546,0.631711218024592,0.7320480633075578,0.6827829580500674,0.8242089436135663,0.8398897512505981,0.8864788095080864,1.040428814392624,0.9922323394191687,1.235022856984185,1.2470079016935092,1.3194936509488373,1.4900161853459122,1.7469954672393375,1.708131235343313,1.849090615368339,2.0167966042276566,2.002383557900781,2.2561584183819443,1.9727511753214448,1.848790173626522,1.8600180647957505,1.60798221495991,1.523619452741037,1.379889193180106,1.425558778480614,1.3142301674444374,1.3264238660241774,1.4856740072424328,1.5029676226818183,1.5563627672424774,1.5596126924909146,1.7584552801981976,1.7509596931851084,1.951430757899409,2.005394834813204,1.9715563826898002,2.171154388259902,2.283735803391711,2.567210196606532,2.5760566726396545,2.7084072409227153,2.4338290849910087,2.219620851779542,2.4316783787238707,2.310389441831994,2.2207729635639226,2.2619154957201313,1.9779095291379578,2.011973103538166,2.1348751188487154,2.096889555133426,2.214904385496209,2.0997033934782934,2.3906542427723463,2.1404968125751953,2.0169007413811033,1.8676682032159126,1.9976349358996404,2.0144229439519044,1.8609854596222613,1.8085389361730293,1.6717757414996264,1.6605287588103574,1.4783581907453127,1.5633755884330252,1.7560633492450308,1.5687788830129086,1.8144028233643577,1.6180801298546035,2.1833882849001607,1.8192315449821694,1.7721373453857892,1.7461282325223695,1.8454251984889354,1.7912012289444397,1.8895205135790059,1.6706805230432753,1.5971094138706252,1.7941126658368638,1.711004477457126,1.7340861079868044,1.719250712588304,1.709273154653089,1.6768505965608114,1.6065171422035127,1.8145030906769535,1.638872001693352,1.4087336873702894,1.2873836588336973,1.2811890834134336,1.1871731017582396,1.1522919582792241,1.0157829470781543,0.9282495314101659,1.1387097821835221,1.109907494205807,1.2419327906670723,1.162361751510511,1.7048105272197107,1.2146091332436204,1.1309982530130624,1.1101339478301497,1.047488751879857,1.0727617001399394,1.0160194096134498,1.0363916332738095,0.8898532525502724,1.0179831343186299,1.0823504081648452,1.2104257348606202,1.4453894105711893,1.5995297890536195,1.9069286165447388,1.517479144362499,1.3809859677941863,1.1796170922741,1.104451685099505,0.9534671614802653,0.7640924694978671,0.8584257252640359,0.7948983749997451,0.9469896244129746,1.0193685252931413,1.2049237272032456,1.1317891174692456,1.2067945298550504,1.3891127744241734,1.4011713978760336,1.3770255232214004,1.2781681486308392,1.175749698229726,1.2393412298647446,1.2511788431137112,1.4074946837132118,1.7882412357366113,1.9947448126910543,1.7285044902247866,1.587656250246437,1.6956562007925347,1.544109236463814,1.4156541259060145,1.2692443875635648,1.1290211268490256,0.9453992207624693,0.8411746013816899,0.7647124450428507,0.9581975356992388,1.0646946186932007,0.9606229206048128,0.8884321383039667,0.9767375846392479,0.9737311252503084,1.143473639276252,1.177410536066465,1.3079547519206873,1.5095897198881416,1.5792003632081246,1.7143279192044458,1.8008624786744125,1.6916977904262507,1.7597200502480186,1.9127717806084956,1.6508839264246113,1.589992964376887,1.4946015828869588,1.4919926740647722,1.5793048007881527,1.544742304335687,1.5345217185402595,1.4654193631187031,1.4204732124073502,1.472860446115983,1.60789033157401,1.5370313080289206,1.6884799761644265,1.4471672961926347,1.5801480138169064,1.6916745901915937,1.701152969508047,1.882974233829922,2.077226492227118,2.1760048161195154,2.2630474700446666,2.102617106300529,2.096990049879645,1.8776089878226725,1.771943751058963,1.6732095160792646,1.601749273150506,1.7164353290825216,1.4127185850112223,1.2633069084737536,1.1112528664740693,1.0372153848734464,1.0199062285988092,0.9257468485637289,0.8837267949379511,0.8934354419594261,0.9131578725372465,0.8111306433201061,0.8608354895790412,1.0082005071472642,0.8999059691593354,0.8487386628138347,1.0625399933690174,1.1315148289250174,0.9207378920597287,1.1236677479735768,1.4346029692249387,1.4728617484843864,1.5093573447580388,1.7641839828548824,1.4120147030368038,1.4397428456866597,1.5543090173867977,1.7548162657099329,1.7365449566238695,1.342825228157093,1.3910772206057225,1.2527177341398803,1.2396539196741085,1.3355836593785366,1.6655667866115949,1.3901970836438051,1.2065785261853705,1.4407327713851268,1.3603675192729952,1.2791437858405754,1.7137087977648333,1.729451407926833,1.4903526508016633,1.5322783606394925,1.1784909694111132,1.3540477603095848,1.1891291686624545,1.0977212005451313,1.1120156004258428,1.1465387820084358,1.123339707635922,1.0529902865218346,1.061427564172543,0.988544360616221,0.9735951930044545,0.8593566058100647,0.836616197666212,0.8444775365380435,0.8176049546887786,0.943186238608661,0.8939339282152301,1.018645867810554,1.0060318398248915,1.0810509376714177,1.1336883593612201,1.0933790895475466,1.0214223652517678,1.1561467556067586,1.244476033590008,1.1109545703574302,1.1745406052201404,1.3204756935953992,1.306734976874514,1.189277116933137,1.5106594484901363,1.6327930974399352,1.4632275758214375,1.3854916092216498,1.899186939528938,2.102672279659642,1.7576902224175432,1.6267665334269188,2.3089302274740047,2.36045242361284,2.0596621961054975,1.6573955272451821,1.311554427121476,1.059057170098388,1.376607736718211,1.2286227502220077,1.4389937794396293,1.1008277930261519,1.0460921471524904,0.8591501418125183,0.9422297869260816,0.8807099502941248,0.8041916695249463,0.7979994585671897,0.7244284376944132,0.8565458955224746,0.8598661095890804,0.6621950133611693,0.6701657197391485,1.1027892859759372,0.5816336637677797,0.8795806595662354,0.7751602265634995,1.267870427760125,1.6107103165921706,2.219088076042699],[0.6389634323033767,0.627102675730394,0.8405388831190816,0.49646272187661056,0.584781626171136,0.5713329870987126,0.4911432567383013,0.5736012572900294,0.5413784497660121,0.6878170828622882,0.7164077100103797,0.7270799241226047,0.8953992964226033,0.9120562733163388,1.1571008002770788,1.1562839094105388,1.2539449055305703,1.4746874971557251,1.8152067829250487,1.7425916904332477,1.9536803328767216,2.1178827648080727,2.152922775681164,2.4415203646816925,2.0850263708776167,1.951170109252991,1.882008555938485,1.589716138415226,1.4784916032832902,1.2830128826630924,1.3668895803295595,1.1921066377806533,1.2025385613951014,1.408141386243529,1.4151716527063738,1.4996187005008552,1.443693637614713,1.7057855981521488,1.6954626217773212,1.8984974231055551,2.0025518432875478,2.013936128958203,2.2156451508664214,2.3513076681324527,2.6976750967053453,2.7122391543338074,2.860032801110813,2.5364621593333543,2.2749070260976167,2.507656631190309,2.356595678683971,2.2414640987097934,2.288683438783285,1.9661542189817152,2.008316273171059,2.1806044362298196,2.143810248051471,2.2100735118335844,2.1365902328364084,2.471145827948427,2.2199749147067163,2.090415080859183,1.915362661268011,2.121765910634508,2.1260294263204496,1.91837628553414,1.9065509610583458,1.7188743005293057,1.7558135141412183,1.529116784846326,1.65852686632204,1.8999916144736835,1.670012699121856,1.93086571570502,1.6610607736794936,2.232563703953661,1.8469019585317212,1.7670189107807477,1.7285758804438245,1.8372583798702824,1.7237277035520147,1.813808910724801,1.542807137707678,1.471453493225474,1.6942662962180493,1.6063836811394916,1.679380859729815,1.6205996835058898,1.67650430699097,1.6238009035214716,1.577046649360861,1.8060017568253284,1.6009258544495688,1.3339075508672824,1.2059775650239002,1.1952172532844363,1.105108581734938,1.0246754648741256,0.856508740884562,0.759159399861148,0.9669345820538723,0.9207451622671278,1.0618413288241384,0.9738252973570876,1.4861005440286397,1.0108100507068223,1.0176865170244167,1.0573645380577887,0.9547183921117467,0.9083991974041786,0.887998684079964,0.8690000690313197,0.7198037178345629,0.8782137820384361,0.9649391762817859,1.1332696117975587,1.4096239519411686,1.6351162361022953,1.9933994582287642,1.5354318273318335,1.4078293767597068,1.1479197218474717,1.0874621967229086,0.8765196751457119,0.6468108717486405,0.7313962382912401,0.674903857184393,0.8252167874999164,0.9035734686315842,1.0369135715855198,1.0655027473695795,1.1433733423206458,1.2926869265557253,1.2656876100707752,1.2401524194178413,1.1306502502346636,1.0692824791426847,1.1188117644857278,1.1634208605358867,1.3261564127487895,1.810117775883859,2.070750745750483,1.772384293843411,1.5570953803197085,1.6612176231768285,1.4685146160004423,1.3235035466688527,1.135748419262251,0.9640240047391824,0.7621958092854323,0.6682232222060062,0.5767430735560073,0.798453920406212,1.0762595255572962,0.8278447658634813,0.6922917532312459,0.7843045348515624,0.7800827442983822,0.968377558488909,0.9843610226389745,1.1433584935943955,1.3847472966521384,1.478379392859693,1.6196997370855468,1.7166063158942675,1.6156854771799183,1.6770412397006753,1.8695914928675463,1.5768474256810343,1.4988067947390644,1.3817764437584426,1.3726699444079826,1.4521228408689142,1.4045335171707793,1.387667081860361,1.2952328540352545,1.2678326666180266,1.3054975032513227,1.4632947579827527,1.3759583037027636,1.5583735965257253,1.2750652860047467,1.4372847434838458,1.5768730121226202,1.5925544844828947,1.8144399711018284,2.0292804722147104,2.1757306069319102,2.3051031923424703,2.0992401810265777,2.0867550715260346,1.828324960802923,1.7068599983834551,1.58688485051717,1.5347533758086098,1.7091168304814168,1.4061047029789484,1.3232489084104497,1.2338088219130778,1.1034970222943272,1.2265530429433684,1.0606452287831456,0.9537804999370916,1.1274292896814258,1.2144687782099404,1.0008940252877854,1.1066158293428556,1.3620742475778336,1.2618424474139158,1.145060102638653,1.4136862651254247,1.5396727727000519,1.2497666495472721,1.455859215140596,1.8356714023755978,1.8753787766921182,1.9865236911046666,2.235512214604084,1.8835060091145082,1.9618895681727333,2.1177463637306784,2.255023617093871,2.235820002520809,1.7824932202627908,1.7261758237958604,1.6533506864952778,1.62643354013217,1.689660290829052,2.100286331942797,1.7718796079274228,1.467870898089792,1.7802388111253746,1.723908835031018,1.5641084052621217,1.9623356770491782,2.0922551171314003,1.8065011480986126,1.725268528939193,1.4121601885914976,1.458987512648534,1.3335221394088845,1.3226093875661349,1.216167399760572,1.3329852410866836,1.130187463563837,1.1254056588982342,1.2508115749019735,1.0644840455561408,0.9838592055272557,1.0720277000334921,1.0906885832806443,1.0398554229639736,1.0918806852352116,1.3349727408057308,1.279894526647969,1.3188134252891346,1.4517480260722144,1.5761018291420745,1.618496680736882,1.5628026228168441,1.4100976850472666,1.5422661495453434,1.7553469548756728,1.5451546669021594,1.584829555829297,1.805370995653255,1.795137239220103,1.592313784598391,1.9858169602534026,2.1222039654731693,1.8906913325653834,1.7986985279195808,2.3674613335188748,2.5447646415763936,2.176586883859417,2.0008813215150223,2.6519799398427906,2.624573649409038,2.4783573057968256,1.9796837523975124,1.6516641748253054,1.3186298206726608,1.5691003817418594,1.4467058262342007,1.6927251131057832,1.3736233868488907,1.3149658077044672,0.9319871493625346,0.9997031860804759,0.8032180136164512,0.8137151621811186,0.7948412683155732,0.8914983697524803,0.7509112722057255,0.7659365682703425,0.9302807262579355,0.787933964866587,0.945129994412631,0.6554491434361988,1.103056262932815,0.9346614483574542,0.9632352604091207,1.4116227620476414,2.125874562069795],[1.1210507631444147,1.0913734274438158,1.2674825639897365,1.141609054523101,1.1196196560192468,1.2336531208593506,1.3395912726244583,1.3827502359900912,1.4908032904806405,1.6908734556549205,1.7832218516386107,1.7174447515294273,1.832143718829702,2.0079704190838523,2.2270225930398673,2.1607887889638078,2.1985232719112324,2.5020683761456093,2.882518275279376,2.7272872085719473,2.996293367244456,3.0842810908926994,3.186775190770467,3.451153626716542,3.0332499393911814,2.9566172958531736,2.7530202000538018,2.5154793408917087,2.397034604072127,2.1816572120411073,2.3878156585941768,2.1393830588694738,2.201248107371862,2.3810042113346377,2.3444139803151107,2.4461121138579234,2.265291409764852,2.5448981581980994,2.469183629258546,2.5464669658066477,2.7318467749405215,2.8686658789708415,3.030070286633158,3.0892113408956727,3.4269544421700213,3.374398895427335,3.4183856239220836,3.188220213219254,2.8698866946397565,3.081293218398279,2.9018901010431444,2.84619537726247,2.950395203043375,2.645043484403194,2.715214330202456,2.9175596867388194,2.941240379620854,2.938621234378005,2.9440206392638926,3.31853491877398,3.0836489489105325,3.0120165367100054,2.9046501839879415,3.2050000115693322,3.0810197845855587,2.8912974496304207,3.003182778385329,2.779996115506536,2.8812382301979524,2.670630597263833,2.842823684502591,3.1511748752307365,2.8675755179622575,3.051567248257481,2.76637778256434,3.0792245809671033,2.8294599061146584,2.7343540483714306,2.662778777428727,2.7182878856742265,2.512924990389668,2.513804385733816,2.1927811548329545,2.0505262102830075,2.2745311938008985,2.295107639656885,2.500715213288189,2.419174663271476,2.567684750502135,2.5661179410051744,2.5608417409301647,2.789127912220006,2.599203777455794,2.400461027345814,2.291230813129474,2.3029419234228716,2.200721804869577,2.034904698093657,1.8426496239295702,1.6317873332975004,1.8200913907320724,1.6185890320885354,1.7519570085613658,1.5833894723859658,1.9459119815072623,1.528006214348383,1.4317957596213629,1.4077008399209248,1.3275615249817,1.327936027817026,1.3086343464371386,1.4624987063702015,1.4554505410967389,1.62610089061957,1.832059860535655,2.0036663273485766,2.3423753554331395,2.607867157146123,3.1039118794136753,2.6248974441745783,2.5267074572655908,2.1861792932936868,2.0995567503279866,1.8195693891435736,1.5492756619168608,1.473140141990769,1.2254615538359057,1.340329113575878,1.3396619756432167,1.4590750237300347,1.426162646638956,1.5243900337599665,1.633548991068622,1.6490559134612728,1.6192643743362483,1.5948480157125005,1.4752256133070702,1.6438708565257716,1.8668810471214239,2.0541668640136836,2.5972807792892953,2.8220652157832653,2.643045677728774,2.3650098699252706,2.4135407941705913,2.2696758893013604,2.122991805295407,1.9216027389215635,1.673344424720184,1.5315424000395745,1.390126468597221,1.3960242070462001,1.3985451316409476,1.596728682698454,1.599854075016259,1.5023765759206387,1.6080210246324529,1.4852060603938695,1.7236553218562136,1.6220955183214214,1.7511073765367173,2.0713498183736947,2.126648164106238,2.2302255269652016,2.209763749289984,2.1273531355587876,2.0244126194208265,2.1164651782668864,1.8121292448676714,1.819098634487423,1.733360657110253,1.8581647862528685,1.9256055652054604,1.9101124040229036,1.9476702350428787,1.8453168792426766,1.9276381916770535,1.8946982971992632,2.0200622766804077,1.8932886935646227,2.0110226320215037,1.708420758402902,1.7935586539659076,1.9314558952999026,1.9753299652097036,2.2600053186145805,2.5315757672540364,2.6140104764696543,2.840299836363187,2.5049311548462474,2.428705139597204,2.1987399978238824,2.012179678223927,1.8918323440568734,1.8608644817962303,2.096153482444639,1.7969851370226981,1.7757847089581926,1.6875707459100766,1.4958488256447926,1.6850008262533887,1.4761561766538767,1.347352687814511,1.5415672856654041,1.6368749525419575,1.365628784423637,1.4591816217848788,1.755378349583032,1.6343250786479957,1.4493955227634228,1.723619347733896,1.8659477264830975,1.5245626225165023,1.6829422462705004,2.1262287708594085,2.1870761633417777,2.364937220877376,2.7103833303274145,2.356339547554185,2.4691778207596458,2.724996428260815,2.772345086330948,2.9129158315281005,2.3839110910386734,2.375961562080578,2.297745896480046,2.136959477568539,2.3041956145691858,2.6779995018068217,2.3788452521821672,2.0787707515687663,2.481766903820351,2.4095765238894806,2.1836136368395436,2.6192024296884546,2.8433261476148406,2.419097070023057,2.267747872167638,1.9324891084303508,1.9141947793497314,1.853065161867259,1.844395374021207,1.7025047822663066,1.7900188818142058,1.520511385766579,1.5303807709273276,1.6397528485021513,1.4340871540489961,1.3529224264004187,1.4628053658666107,1.4712396786230564,1.39541312854108,1.4488340135613205,1.719587891004392,1.6258934173464104,1.5982165685194671,1.788544245184404,1.9517837985250055,2.0350981188839086,2.0194587810342317,1.8730528288878623,2.0680706396345467,2.2769424820349293,2.0139514596208175,2.1097278658821286,2.4050412450913825,2.338689282397491,2.1246529179066678,2.634053825611536,2.7783878411134757,2.46731059452516,2.4241623626471105,3.127062172732635,3.2880618960425645,2.834706430005739,2.5242114546320495,3.29284013311218,3.1042334452573646,2.9728287765581802,2.3193238276214876,2.0082012640085654,1.6033783799692518,1.8309923051959958,1.762906322207735,2.085754137910971,1.8008073955685058,1.7847569554101257,1.3091804075515752,1.3877547403092427,1.2196263862523744,1.2098810146417698,1.212996867930474,1.2739302215724486,1.1883174346167424,1.2572146803441882,1.3198124571412333,1.2792603888929237,1.491660328622946,1.2221809310571163,1.5196178217945053,1.4668363542184082,1.448127623757536,1.7263250026213874,2.4168834182523606],[0.9180830236241103,0.8939978721122269,1.0894310634122952,0.7790566466431419,0.8328185021203401,0.8009328129582287,0.7214212791577774,0.757325629818471,0.7186322833180483,0.8475979179430478,0.8847789320599854,0.8525747892335578,1.0437690793118768,1.0660604532401456,1.3047149305959953,1.2974364079380032,1.413350438032264,1.6373540806645495,2.0087031034852596,1.9201512878768994,2.150305628154167,2.3132129790732456,2.3879775937922045,2.6575381456365395,2.275910434717466,2.1288201857632676,2.0504354499186626,1.7336550882047281,1.6141390419145007,1.4148329377500608,1.5307409692137348,1.3142164956321734,1.329537639476425,1.5608730864271536,1.5623159981731907,1.6607353730340182,1.572511375408692,1.8612025299411883,1.8441118924011757,2.0762238486299838,2.175920611426281,2.191430097149343,2.4173628403188108,2.5673970736648184,2.9438458187542444,2.9525624389849003,3.144040467767646,2.783339133781261,2.470940516973101,2.735537614573981,2.5768212081237234,2.4577194780114664,2.551069362017684,2.165985445529021,2.211242688208658,2.4575906953725504,2.404016876140469,2.4265215846412946,2.3627077527884035,2.7067240555693783,2.4791988535071523,2.338955206097239,2.1399195235039263,2.3603347117807196,2.378555052205459,2.1321170978465878,2.096122488708355,1.9091745786353065,1.9787840887842045,1.7298988618279274,1.855052040099825,2.104598957744797,1.8871727563354772,2.200660888643309,1.8475798731022082,2.4648136736943353,2.084818038247223,1.9879138844615438,1.9358712733309784,2.05936300578105,1.8779183762586196,1.9750823216040603,1.6898192383532915,1.6318533688826804,1.854257814020632,1.7594954712771913,1.8299001026062185,1.7409779695025926,1.8637929225147605,1.7978216988266622,1.7731866048598592,2.0253699890424923,1.8170145639614346,1.4948969689064147,1.353580011611885,1.349247973350281,1.2449383654837585,1.1537010017037315,0.9842003694571071,0.8944523134305802,1.0982789680364584,1.0366507705039938,1.2084586567462645,1.1211286564136222,1.5782521252477841,1.1363920328220676,1.233892658513003,1.3098061488530808,1.1891197572548258,1.0879915467371404,1.0661463431554252,1.0364549684282118,0.8986264401007015,1.0509704622834048,1.1110290491019166,1.265972222707906,1.54357123028547,1.7777178219871734,2.167879173650565,1.7017754356500088,1.584474129719361,1.299416335523571,1.2327626606995485,1.0181013261037115,0.8183410706747498,0.9127534584581926,0.895319258218109,1.0224386310732865,1.111829515681789,1.2157858841496683,1.312235724464991,1.3992393961759078,1.5028160446794456,1.455279861936458,1.4140045965616626,1.2949222527719018,1.2794094064858985,1.2600259033551977,1.2884916998371876,1.455753066374183,1.9287840724236727,2.2617909926060835,1.9393984756455438,1.6956020392819056,1.79661070614661,1.5996799112045823,1.4530358548424935,1.2618857366335792,1.1178142751137854,0.9264311293757262,0.8715359960321414,0.7411795716830737,0.9388998739503976,1.176401659462874,0.9444081268558153,0.8391044227449025,0.9287079590851215,0.9495604555639898,1.1027655435421748,1.1215612992421657,1.2779703308987096,1.527315067465091,1.614405746320301,1.7742280199610552,1.8744919052530296,1.7456788055130197,1.8387290466863484,2.0181628705652908,1.7477766037101938,1.6417937864510044,1.5445324614991196,1.5156618343537918,1.601553138069437,1.557989744286671,1.533338631476036,1.4397130234736364,1.4063913904268455,1.4523464042446104,1.6076907294920322,1.5234998894054965,1.7205251463703817,1.4268068548621002,1.6060871574311344,1.760077413848704,1.7678658924666153,2.006020762403384,2.2128139526681383,2.3862989990741217,2.4929603364423363,2.316464638872504,2.314299886275505,2.0151816758231336,1.8973897770734904,1.760902547076762,1.7473174716269273,1.9396459017571257,1.6440454313907729,1.632159322378194,1.5473159232820768,1.3940749952672127,1.5329694868494403,1.3500685245099084,1.2213137893855168,1.4079161333827779,1.5020590709836843,1.2571417865220558,1.3295910314764716,1.6169940782991967,1.5304281781442661,1.368958419874914,1.6326291274340596,1.7884707314850983,1.4702215269447447,1.620552350827256,2.0556157013480103,2.0948411462853436,2.277268766635904,2.4882287053078254,2.1655459382480995,2.2754990643356603,2.497377944520841,2.60770791534466,2.595395686643039,2.1625183412718076,2.101720900367178,2.0398287230417576,1.9829875387024456,2.065938153620277,2.45300979844142,2.112497792421481,1.8227807275289765,2.1678534162391943,2.0881075607798074,1.9062123301890173,2.3189361756939406,2.4659621267997545,2.1214387695839347,2.037029592532121,1.7287463739580349,1.7750726923376163,1.6678419508079072,1.6555331939422546,1.5084160135918332,1.6431284435342914,1.4120842085938052,1.412367227818602,1.5327548362591548,1.3343474732627447,1.2366675211396643,1.3620158809542713,1.3734532804637836,1.2631237957409438,1.3412825876424166,1.6337029393011857,1.5553812052034424,1.5462506072872084,1.727674584503675,1.8892968397122143,1.9376465988561293,1.9080050796246235,1.745368072944246,1.8947836547895167,2.123233948951741,1.8647832236557047,1.919251629020492,2.1682886066532134,2.1367662788958746,1.9209898245781278,2.3562940333007103,2.4809189885950564,2.195240278743528,2.1331686227180175,2.7096630153432897,2.821613336688526,2.4354238093013145,2.2130686888764406,2.8445809431912736,2.7094581261834176,2.6914695928201002,2.13783551395024,1.850055281812827,1.4981319757023057,1.6960142433327796,1.5893714642665044,1.8188268338129625,1.5680853305724047,1.5451972317894878,1.159243692137292,1.2669295324957237,1.016663570309639,1.0248946004495845,1.0180675899571716,1.1330624820376947,0.9648389850289677,0.9785231750843071,1.1908680176127118,1.0555883350663042,1.1228221365197015,0.9401945251139336,1.3360297314374914,1.1681535842482038,1.1357493276854076,1.5561652546647886,2.235457535360479],[1.0857694949637737,1.1247704172548465,1.318643079168594,1.0324166098747773,1.1137568364099861,1.0791086547467326,0.9777023814042354,1.0058435618383124,0.9830663155285847,1.0921616036561552,1.1283258643466496,1.089359830110185,1.2557686062731792,1.2479584784068483,1.4534664591744704,1.4224195352785987,1.5472211184777076,1.7166119802690754,2.062746960817646,1.9597180654667838,2.1741075058675015,2.2994203499569816,2.39762795331084,2.6620369497350507,2.270924904666781,2.150991836142855,2.061374365965213,1.7723913278321701,1.6615610719937832,1.472627126114365,1.630460471716539,1.3924140869670187,1.4172293123573059,1.6070825829013644,1.5925407273909402,1.6903342801844736,1.6031671618541217,1.8540829770223934,1.8188460378329876,1.9980643500529365,2.116329722192327,2.157108478052285,2.3452927865371733,2.4813630159578826,2.8504071794804053,2.833628047493907,3.056496669782172,2.693427187249459,2.361597822528732,2.567939786233632,2.424258457649644,2.326090087453967,2.4223572199165893,2.0680752350875733,2.0901197332933186,2.3503692078931335,2.2986745667637885,2.3476638679836603,2.264647731985012,2.6043874775015765,2.413611307297324,2.3233885908951692,2.145728327442511,2.33918490073902,2.400389158226623,2.1301530175804446,2.126763268975768,1.9713252973377287,2.064051575703898,1.8609378949491153,1.9575728454007435,2.1348561286543206,1.9954882468750275,2.3251889359790052,1.9352579331930233,2.614072990205198,2.136672722330241,2.0443825561243876,1.9535141598653332,2.0459201737231445,1.8344288220646372,1.9150379003274753,1.6488420917960143,1.5792522945925442,1.7732957232609239,1.7241089148127933,1.80872340140133,1.7604638557946701,1.8750035026555842,1.8406825907081261,1.8585305499610436,2.1599240915961673,1.97948444680489,1.6227718214765376,1.4818993488297163,1.5312852822027831,1.4234569244687698,1.3043702351580895,1.135351193271753,1.042080772973146,1.2064412788816217,1.1282948700700606,1.2589716140835598,1.1385470356605165,1.4566439164479539,1.1868768371128255,1.260807491711199,1.292120199627932,1.2692767155558715,1.1967357457872716,1.2068409832331362,1.1282554439987065,1.0580065704293522,1.1785113608081565,1.2980978285556988,1.4184963570055167,1.6350097063404636,1.8224850935761856,2.1472131685869043,1.7747535260256224,1.7024577941342596,1.5024597497850982,1.4420128493441093,1.250410435172722,1.0939034722161278,1.096337116003877,1.076707120249681,1.188291238755968,1.2063585330382274,1.2597356908851354,1.3436221380915572,1.3897720280459347,1.454665012569011,1.4139496458460845,1.3977043600750485,1.3405085666712602,1.345515505259503,1.3634730474013537,1.426333384964199,1.5178235335369497,1.922692310188385,2.293466841907034,1.9665489739278088,1.7240159039109435,1.7703093828331182,1.6198524001528316,1.5086861442518118,1.3371108675049586,1.207575861202093,1.0974271498087431,1.0242596746962243,1.0036740469852508,1.1036654999463504,1.3461461138418116,1.1039761344070258,1.0369419496809404,1.0812027331495686,1.0861337741220136,1.1938898185544087,1.170196591348348,1.3208161636077014,1.553429772060967,1.607790909538184,1.734960216272293,1.7748295711210873,1.679043512994427,1.700391960606351,1.8297558552143116,1.6353746718786482,1.5781626483362243,1.5023441365268568,1.4988004416736231,1.5475954487346035,1.5152289772074368,1.506845267398412,1.4276326190508641,1.4286106955762337,1.447748972187743,1.5584778177854743,1.4744299916076198,1.6328276536583062,1.38344246347504,1.5146520536644807,1.653136758001023,1.6528601274861598,1.8744607269201434,2.0913221491565004,2.204257349751773,2.3367373255076243,2.122856989642888,2.1416314161247745,1.86130300799804,1.7239939161713311,1.6293956726049466,1.610594776302678,1.8241484224020628,1.6198567445266971,1.5737898102740129,1.5460501500163446,1.4755224601894683,1.5447555554809476,1.4088812824229915,1.3276573762377606,1.497500478919463,1.5795662889278526,1.4303915529088367,1.5253539979656088,1.7511804989665858,1.6827766937118556,1.6012458334837203,1.836399254792531,1.9604301748732507,1.735443113076097,1.9216698691422789,2.2483216558084242,2.2516516004899163,2.407425903199695,2.5777322653398467,2.251340721043951,2.343344675375838,2.4736800281392513,2.5563920147338712,2.522157304933072,2.0984149854922802,2.111764812245364,1.9953055387174703,1.9542028117961507,1.9560966048661754,2.34476279528185,2.0530367395230544,1.6832539944097682,1.9888897993041275,1.9412688270349356,1.8035432572377768,2.2489048379106857,2.3606873047655292,2.0167332396390565,2.02607993117868,1.68821565408408,1.7402612229475956,1.5795193849049352,1.6109645173699525,1.4482300194766353,1.6051196413579714,1.4140779961459575,1.444155966876396,1.5660508889244062,1.4279011538870234,1.3491124923965978,1.4836058178993363,1.5258442247507802,1.49850892090373,1.5447349660182406,1.7445601196095413,1.7115354286000333,1.779563083458828,1.8820849651982656,2.0016394957399086,2.029976395676588,1.9509348602184535,1.7732962595113333,1.8728860277405235,2.130435053734521,1.9088930485294737,1.8941007982401747,2.1398789287788462,2.1364614115473004,1.9143859603878544,2.268981137933575,2.409756181221705,2.187559092905742,2.0994979108177843,2.6200195106233966,2.7647382081261913,2.44360963607668,2.280384955727762,2.7979184498196754,2.8094198486144233,2.7478974533593594,2.3045577667436783,2.0108058642069433,1.728634102872988,1.910817324085336,1.792824548921222,1.9961783801703523,1.6848316429517545,1.6720712826811805,1.3359154418836598,1.373396355394547,1.1885142627849177,1.224516351604987,1.198536938529817,1.3042972021693637,1.1962794546292208,1.1948226083201363,1.3737965377838872,1.2709070371177282,1.385241777917269,1.154685828516652,1.5471786533050949,1.3531478439049696,1.3774205670907407,1.5753288920079194,2.197101962403552],[1.0456768457862642,1.0416893618498841,1.2383737576320715,0.8175387454142152,0.828790178598772,0.7905533022928354,0.6334678452885826,0.662976490028778,0.61794353232609,0.7489770359794826,0.7967288925077644,0.7656316862677551,0.9218907226105967,1.0048176560144226,1.2501343296092073,1.2026325067369033,1.3233777031510114,1.5661038817468669,1.9639240395845736,1.8214964950295311,2.067425367225706,2.193140165824104,2.2942981668883307,2.6061736099279194,2.1738266633697725,2.0645907303421667,1.925351063455243,1.6394571528028907,1.5068398956719498,1.276824807084032,1.4274801716945107,1.171001748012311,1.1959585681442968,1.4124234772867321,1.3976266596625406,1.5114990231737462,1.4082652722053712,1.6999060229460972,1.6801040182304503,1.835276007420663,2.0014712892915796,2.0543928943920347,2.230811162560613,2.3825150004635063,2.7511670708095024,2.735546362752905,2.90157009055681,2.576558715819127,2.254262514216171,2.4814309097999345,2.3147249035707653,2.212324319075046,2.2518512503792127,1.9328817085837344,1.9557368857294022,2.15983956098082,2.145877192320874,2.18551551124473,2.1234279472245325,2.514129654035512,2.2506517206094783,2.1320669039874933,1.963503364723933,2.2048210396904806,2.2204933447829465,1.9742605748377595,2.0180282917667265,1.837832571608434,1.9494002296254884,1.721200562381213,1.8818792983203114,2.141380244554238,1.9087975217141318,2.1769131555555536,1.7901276713827479,2.415619370835782,1.9389012013204978,1.827246315123471,1.7446979650722125,1.8288043836313963,1.655949874782359,1.7282549626408632,1.430118016734988,1.351708656721402,1.5957665188749321,1.5351140522158409,1.6433903337317746,1.5865683749375232,1.6827563705865942,1.6332688306863163,1.652677306778585,1.9351501660638677,1.7060255364887915,1.397477567766045,1.2588037391632865,1.2786184692630633,1.1533979690001086,1.0224896630134053,0.8397783005136668,0.7422011827736972,0.9307967323405834,0.8521339656834631,0.9734400825777385,0.8956833768763197,1.2955015386474222,0.9602887629004252,1.0643660141536437,1.112408920295632,1.074087666336574,0.9899891085808228,0.9809895181660359,0.8895772195580538,0.7527329047359493,0.9195724321862556,0.9961684524126484,1.1899498345543034,1.4826244917147509,1.7616868389458595,2.1207361186898495,1.6446704761633077,1.5398289625290842,1.26174082817986,1.2200575757879455,0.9600814994490776,0.7253731624749307,0.7957738420879791,0.7181120958301969,0.8983060570698691,0.9631640594990318,1.046663588653384,1.1284738870083197,1.1917686943732517,1.2718654166503995,1.2149834095203598,1.2114523975162939,1.1325780228103306,1.1392690157594272,1.1798346540949431,1.2364323428734405,1.3331639888778686,1.8654062095526993,2.1809396881045537,1.8910355976270046,1.5971369989003645,1.65093446395153,1.4575691999624947,1.3186303673477215,1.119123968721037,0.930164009178561,0.762219601649861,0.7196043592433405,0.6747715421969532,0.8598829860132564,1.213584579618933,0.8694049360433123,0.6945860858800867,0.7524858368126907,0.7619491762976964,0.9209080137821939,0.9387275124142345,1.1032966478665036,1.3383490602571624,1.4408283962794923,1.5491951738402283,1.6182083010527941,1.5502260936513823,1.56846615775496,1.7504489349766095,1.5155030864619752,1.468888513473793,1.3390585815261182,1.33988182104072,1.3697168075481356,1.31602927186254,1.2963659419529512,1.1907197563471805,1.1971853621239035,1.2003779616411039,1.3591357470786523,1.2545640579704118,1.433145273136263,1.1719630035237911,1.3315515057326341,1.476799848019459,1.4687761090148934,1.6982407977148928,1.9356030066470256,2.0383934577293283,2.250836255545909,1.9778480080129006,1.9571802503540814,1.6864292577975346,1.573096775357947,1.4900006102578192,1.4700587129886036,1.6917673168366028,1.4768034030581227,1.4130914973298674,1.3769674736594644,1.2710424452945752,1.4074116152013463,1.2474269082455467,1.1428751360768046,1.3539515388571906,1.457486379784924,1.2739460237614266,1.3810985368598365,1.6494923508588204,1.5806637217461015,1.4771856950968008,1.746043241745178,1.8898386992200815,1.642981108440258,1.846291961764711,2.2144091501795073,2.2053256597119315,2.380877181625324,2.5299078387947564,2.1815460262654014,2.2911964901761994,2.413206051477646,2.5403755186162016,2.425248143617756,2.0400387498402157,2.0178966178779127,1.8993387779338873,1.894357990757489,1.8321121692791498,2.2406154202070607,1.9115839206503942,1.5750367623652846,1.8708484270869836,1.8184510783981935,1.6748096771402177,2.0399362162760304,2.223912005304357,1.9129982108201025,1.869077113880715,1.5621231750404427,1.585347474917365,1.438158531554963,1.482253655858764,1.3215321386516317,1.467625950840614,1.2331200700530507,1.272227137815454,1.4018256566522673,1.2426206938985178,1.1621584390482322,1.3519787132518706,1.4091823524063753,1.361860746824488,1.428484036448433,1.6693948386318629,1.6379793471972086,1.6982677844582066,1.8232881044209988,1.9524852034054985,1.9624015714093803,1.8704049783598848,1.6769909241919743,1.7873313576714933,2.057942813745772,1.8164191558436285,1.7932739035607141,2.051850219005244,2.0550586246602154,1.8087516313938825,2.1526576300342883,2.3321235669254627,2.0973626156269902,1.9840374889621217,2.4695185117707186,2.6547318591406173,2.3471009171131625,2.196355105610156,2.673747137092593,2.7234343024962455,2.696153007555074,2.2317028782517943,1.9170526011539661,1.6078267609160055,1.791229221705256,1.6557111591309432,1.8833627479393447,1.5443108854167622,1.5486158567091586,1.1574366051726703,1.1772094725431486,0.956434628404048,1.0324139873081886,0.9979089055653867,1.1161072002341983,0.9760619478797088,1.0613064771927099,1.2337264090866857,1.1765971717905799,1.276951661335727,1.031677060284614,1.44277444908167,1.2655184606571102,1.3577314454558018,1.5682039363012115,2.2212634032431637],[0.9610444730085699,0.9256076899237806,1.1200792171321423,0.727710741971367,0.7189381447068064,0.7328273056083257,0.6178907422185792,0.6390051667571418,0.6701948413141435,0.8642789480921331,0.9395349737157206,0.8711733632176019,1.050176599154604,1.1817231897623806,1.4255127594745742,1.3690985226229138,1.4720118819156092,1.7489541955317875,2.165437831802624,1.9859310901262026,2.231492474443599,2.3284497822925005,2.4596682840627553,2.758751527233403,2.3090562682449103,2.219950628973386,2.05179401950909,1.7861906882959822,1.6611290006381103,1.4173490045518087,1.603364681782974,1.3115007022322702,1.3416875202530296,1.5715098213923984,1.5389091105062829,1.6601852817508604,1.523345000816829,1.8160445265905683,1.7805696210681983,1.8990609454173666,2.090939648398921,2.1765384070029343,2.338255823214989,2.4798663133623298,2.8495343227739527,2.8158205829972003,2.975045030291013,2.668981788457073,2.3326462703455597,2.543032560988308,2.3698539741148053,2.275705930699544,2.3181767856708477,2.003469738310631,2.0215845262336556,2.2422545846841206,2.2370738290937875,2.27756928995403,2.2284366057426612,2.608135985207251,2.36310212094917,2.2697920546549284,2.111749367013395,2.363254792284998,2.3688650286566344,2.1209068922307397,2.186388450528578,2.030505813908369,2.173504501164875,1.9503836080930175,2.1197562829429457,2.4002298708006173,2.1604831168760708,2.419503745127546,1.9948476697983553,2.589797185297318,2.110934718894029,1.990561439942733,1.8890023596353995,1.9485072564090293,1.753725673047608,1.7940582776950424,1.5035390541530897,1.3843024707208158,1.6404859236585687,1.6086302002505404,1.7474833932459728,1.6911641177431669,1.823833274628405,1.7802764033040543,1.822231314896499,2.1080757254138014,1.8799554160866447,1.5757089460340366,1.4378450975822887,1.4589250460062664,1.3308969599619938,1.1670223477972377,0.9665492327380124,0.8329883342735309,1.0150064382030155,0.8823035026350783,1.013977329015945,0.8876531622947884,1.283900542829118,0.9074757493607655,0.9651821428638533,1.0150013032791423,0.9470618535470307,0.8887070729856835,0.8869493664358998,0.8704293925136579,0.7813539626651823,0.9721757116460922,1.115155947490129,1.3188815468568056,1.6298618952863158,1.9276691465493412,2.3134242988038207,1.8313120141331498,1.7319103682790182,1.4283795370399115,1.3869635249514882,1.0996769369883634,0.8166253143650208,0.8493899891917165,0.6903160043610554,0.8285346104165009,0.873965189005008,0.9734678793982081,1.028104761224316,1.0794329430893768,1.1915620015523973,1.137448466881266,1.1539534713097752,1.1060649110630507,1.0797855220331454,1.1926750011651441,1.2869259396972466,1.4047594071540057,1.9663468935617572,2.3080154656274603,2.046053813862821,1.7211744349269225,1.7603324030216498,1.5744997838848833,1.4239596450148404,1.2149347302974598,0.9854032559807601,0.8203595793035272,0.6994696145470229,0.6509973071969649,0.8103474716913193,1.2865905884716737,0.9775781549189224,0.7064784622237583,0.8180244672981398,0.7670948619747628,0.9860499340292439,0.9500962345495634,1.1337382538368561,1.418442331620382,1.5121227390753298,1.6043776349587937,1.643891943958857,1.5782455815123146,1.5606215735675195,1.737912046681224,1.5038130590837022,1.4761306568430455,1.32830304847412,1.3586660196448597,1.3850839212156956,1.3291629728987897,1.3208088526256467,1.2005684876083402,1.2510609502176533,1.228496811083791,1.3921619943062642,1.2487334347402783,1.440074951042988,1.1557126613708124,1.2924541927120572,1.4296468541129899,1.4498763969325181,1.7030907008799514,1.9679793696720551,2.0571514305000056,2.2970554225067183,1.9871410995832246,1.95302732866937,1.6774073881091331,1.5461929669576935,1.4454225325624874,1.3928369588502343,1.5908288862814155,1.3700055716591837,1.2865553464502213,1.2629791878968406,1.1437754625959327,1.3005106189264348,1.125772982937071,1.0100619419639005,1.2420782629092102,1.3623775218364242,1.146644840694197,1.2480259245404013,1.5566140724193278,1.491361412997174,1.3646174745690216,1.6437398919580763,1.8238306436837695,1.552092035167807,1.7413215171475949,2.1516884838607195,2.131895672099296,2.361304317440859,2.483219524626323,2.134026500277753,2.2791240052163144,2.4410176782128983,2.5943030844599106,2.415105616995133,2.0408136895625413,1.936865511484286,1.8477122013478084,1.8495741229735734,1.799640844068595,2.277201024224973,1.8505456690498,1.5151107636782175,1.8680667460500788,1.7903227255187097,1.5944896241994084,1.9175334794845988,2.1818780460258904,1.8668053771605044,1.7516390226897762,1.4679236777570697,1.4392218146962785,1.330647310922027,1.3922703803242678,1.2383308911757602,1.3969033660322572,1.1080326079003082,1.1467712532383278,1.2984571150799362,1.1101678306537797,1.0133677775566063,1.230710257714376,1.2972936584578105,1.235432470570621,1.3057691555125126,1.5876178384082604,1.5595684001081274,1.5937879775372377,1.760254780199503,1.9197413332600997,1.9267650162868528,1.8397751600345638,1.6152506009874559,1.7543983516198123,2.045244598591991,1.7638971149192393,1.7509210098355898,2.0329271200364305,2.030306168852005,1.7559808563199315,2.1469744786091187,2.3356748704604966,2.062213089155701,1.9415463220369675,2.4676495827118194,2.632839538381538,2.311909557039113,2.1259481463606096,2.6279595507618243,2.6185839489166636,2.641769270387489,2.1391066276810116,1.8159151520851267,1.483596614154395,1.6497279057291816,1.5094850598350442,1.7546213721045532,1.3956281696831812,1.4280036836500842,1.030015257811572,1.0486845151013686,0.8349411222554808,0.8908913224918935,0.8588506737034052,0.9690644817333935,0.8330336220251031,0.9351027337318187,1.089076529791869,1.0751236684908398,1.1988212483977794,0.9173939074323065,1.3696020263835778,1.2051204514223126,1.335416127634941,1.6025781864199524,2.2430692859949506],[0.8625696691214604,0.8363164206365905,1.0411835207143065,0.6992651354087532,0.6919748842313475,0.7378457191592105,0.670294084083772,0.6768553952224572,0.7615769092989592,0.9486296762514399,0.9999829001877057,0.9464380294206591,1.1058452362105209,1.228953703522272,1.4507685037184388,1.3860998272711176,1.4760937367502691,1.7302255064996674,2.1182606243415942,1.9425400315223478,2.171095009845237,2.2474726217162924,2.329512817487444,2.686054815511198,2.233789480632207,2.1743172488141274,1.9809936401585675,1.7603865828583412,1.6436841482166986,1.4316789136642252,1.5888325351842516,1.3231445540410827,1.3537681287327477,1.5608963307125534,1.5219635146219175,1.6387219207641508,1.5088845593510047,1.7802367867613313,1.7346662499659917,1.813078958179705,2.0084937173792654,2.1008959025693303,2.2252249538641315,2.3520652851622073,2.67266485459158,2.6403757418529916,2.808215646205207,2.511610507356497,2.205660786721185,2.3855005981924187,2.2347617489735225,2.1514566119076495,2.1774792381304326,1.917661252598687,1.9436876940628243,2.120062087945907,2.127941573821688,2.1610423830911483,2.110631527585531,2.508133865909678,2.246785508198267,2.1656975748874285,2.034834779116366,2.2632445665849317,2.2596633512804267,2.0585242237476002,2.141991749646324,1.9878967967898646,2.1141306758730924,1.9280780457108726,2.0847818437033068,2.337827826612619,2.12391564883384,2.3554645871791315,1.9506205307460365,2.5435261575800387,2.039507166691974,1.9301998767332629,1.8253452563022474,1.868441178555042,1.7044691721542033,1.7271705397141295,1.5158458732901992,1.3549507065216848,1.5799799356931354,1.5623365280634955,1.7072928113251433,1.6591056973095994,1.7708823187049902,1.7497015161233604,1.779616430424671,2.0603820775142427,1.8325484070259475,1.5603491909282445,1.4472764010830481,1.4664509935641103,1.3595741434102195,1.2084602378793952,1.0365246062275257,0.9057775610829288,1.0542000640353812,0.9151415835474367,1.0438429301695424,0.8883993263548022,1.2646290909982756,0.933387111810551,0.9393458169221255,0.9398821889413236,0.8818295200112128,0.8986172799400871,0.8686728197767551,0.8910210510513226,0.8330446166863529,1.0113202566071138,1.164453386216475,1.355672899290271,1.6336559662920087,1.9164017563392106,2.2655891136856128,1.806380119915588,1.737352903783461,1.4645788570410494,1.4377553957682412,1.1629785867395406,0.9021921264521439,0.9114342490804813,0.7467692553390625,0.8378417991462649,0.8773521161800126,0.97163450683386,1.0041077834461243,1.0199872186972627,1.1315759597962682,1.1081772243493484,1.1319693240125528,1.116118345460763,1.1195248679782188,1.223348846198362,1.3143826660798168,1.410277953123736,1.9418780835324738,2.290178140746488,2.0174875547121625,1.7170340267271214,1.7224704939653241,1.5692800434690808,1.435753654282681,1.2426731454422029,1.0223058647878618,0.8867040999968026,0.7636868577868627,0.7199162935275002,0.8570373735032857,1.364468319857314,1.1113740443785718,0.7909647322115965,0.9015503536525128,0.8102672036290035,1.0333622912359197,0.9683756018692871,1.1439799887758182,1.4138826212823783,1.4998008474710052,1.5662369086843653,1.583728818330445,1.5610383706055744,1.5077867126282363,1.6736377239685405,1.4953864787607813,1.453000219213155,1.3048046027656848,1.343565476185823,1.357144606052721,1.3070137961377566,1.3035400386066993,1.2037201843707503,1.2672585406021557,1.246446483254979,1.362779217239446,1.2309634361463255,1.3923632956971934,1.1431610405871946,1.2631007300006558,1.41435542490372,1.406832014798924,1.6263529939123846,1.8631794455679098,1.9516760951383034,2.1759636313571433,1.8911105948734552,1.8797761001234574,1.6148893896210126,1.506379827439632,1.4394543530407178,1.3400598322620558,1.4596465786851303,1.2645138843682868,1.1442378359319247,1.1333000096179582,1.0640879642745118,1.1474912841813978,0.9904926100759394,0.9077341468912176,1.0898306459547424,1.1837093281900708,1.0125663677674135,1.1123248216307842,1.36977440562765,1.3129819331202583,1.2223592296803398,1.4739065961036033,1.6436197804804313,1.4056518325485483,1.5794128549578343,1.9731478232226165,1.9489306430985975,2.157519132801938,2.231220872161081,1.8945151469517965,2.0254899406455373,2.1482473122702865,2.3308585418029,2.115861125231033,1.7832459585926523,1.6743547166078228,1.5877082469565131,1.644320238351665,1.574377704302132,2.0513636781828515,1.6207115033459947,1.3119733699997238,1.6317422777152215,1.5763644252280213,1.3910308122754997,1.7006387511719132,1.9271569925225214,1.6581005407216758,1.5999638332260229,1.2976309780247766,1.255134970936101,1.1617905087820297,1.2100451869880282,1.0957309128686183,1.2347740550210111,1.0018641094491307,1.0283100724499956,1.139461305899561,0.9736193868656715,0.893747174780268,1.075426240073884,1.1446220690388322,1.1102250475345743,1.1610326221908984,1.4111668549079348,1.403372201080365,1.4302756145871525,1.5818896063784273,1.7188192507278681,1.7106340808627825,1.609403858548499,1.407811373341935,1.5198011196165047,1.791153804899969,1.5384321108356267,1.5224814433665745,1.768832037916036,1.775177562708632,1.531813241762329,1.885625577118034,2.057038226723773,1.8301670091654265,1.7084655895483538,2.151191717131533,2.299369912876758,2.041302426553298,1.8982670820926077,2.341502850108072,2.374250425930276,2.3806492009806566,1.956896130405799,1.6359741734975906,1.3683035368600902,1.5257031355002244,1.359660486591998,1.5737797992029703,1.2302161679486197,1.268407773656221,0.9429937362231813,0.9732405759815433,0.7916988291747068,0.8059233083507285,0.7817138752701777,0.8529748262620469,0.798041635475267,0.8758110334371887,0.97102623996937,1.00258014690773,1.1376101781034267,0.8316350333815388,1.3094318904026097,1.1676003237888934,1.3693777436752042,1.654728927237084,2.242231120274379],[1.2122006003688373,1.1924216263519924,1.3597100980626595,0.922705023330812,0.8672535323537306,0.9142780688148728,0.7111627621954029,0.705587169797544,0.7519581492386522,0.8716910254171522,0.9345074759636265,0.8622905253317006,0.9932708167433291,1.1664584962584152,1.3698893475810572,1.2739731461762898,1.3696041801350223,1.6485490755257928,2.069631417242783,1.869564447003968,2.159252805962499,2.235212427051407,2.3588616380744702,2.7125280454708505,2.213748788244627,2.1492795434249894,1.899078216575239,1.6546019605921458,1.5179960381262332,1.281376684144843,1.4893746642544794,1.1729765352278974,1.2155626111848985,1.41926217814197,1.3771817580636898,1.5177295120774685,1.3315106745974061,1.6480172253403047,1.5816915474624833,1.6715136824597063,1.8991412518443829,2.026725995960173,2.1572418230378183,2.301891933605105,2.669589200583227,2.6463381692496326,2.8138759425395894,2.476234789034873,2.1306579539234582,2.3309015961658974,2.142568031361647,2.0490014697012575,2.0691236883133226,1.7801439840717106,1.788270195265798,2.033550984300241,2.0506972936177803,2.0685413064061833,2.0424875477365205,2.462058245940951,2.2051837666948155,2.126339673594546,1.9761469001960892,2.2750731614810573,2.2446657130818575,2.0089743523393824,2.1425747925406298,1.931905455123066,2.100061561901309,1.891887208446246,2.0861666714729226,2.3624496694577064,2.1227222920152644,2.3521912474055826,1.9162692656056501,2.5326706556758465,1.9660447844378692,1.836981675796363,1.7200996716525738,1.7623296491903968,1.5502957841541458,1.5799483609390614,1.3400190458231607,1.1772068334254764,1.4098875125750332,1.3812906382277919,1.5651702558018992,1.4780193284202405,1.6529200754709976,1.6236097391257382,1.6686509861916987,1.9854401399726906,1.7578219853739496,1.4606462438288366,1.3492785990469498,1.4054377899626103,1.2905151439067202,1.0965820567892952,0.9298723704042308,0.8517416490782319,0.8873898434153328,0.8598605445282163,0.8583270535380343,0.7893302515538696,1.1322562727726093,0.8663325682936929,0.9759472577156472,1.0075279119431497,0.9482990661623473,0.8995588063550599,0.8568882851463896,0.774478476245315,0.721830122649523,0.8549693866760855,1.0436333318779412,1.2464320282368304,1.5421579518519695,1.8502015289495086,2.236722294397881,1.7422577764370442,1.6955847785762,1.408448066110489,1.3864474897399304,1.0828734431839675,0.8125680805753601,0.7775795790420414,0.7670689397954592,0.7570516682803606,0.8701168531133487,0.8736231575525291,1.0092023113509674,1.0501557416062377,1.0756859251421864,1.0134276922533347,1.028114069070314,0.9680809310104619,1.0250980807730026,1.0735394581259083,1.1647256827381722,1.2798337986531467,1.8755465211563116,2.248381299000425,1.9442005387975232,1.6080875640906962,1.600665177125293,1.4227162692610615,1.2912816153568616,1.0730760001242288,0.8574644398632542,0.7594010445784255,0.7315830801852972,0.7406962934980958,0.9246959487312763,1.5314163953781172,1.1433918716451756,0.7353462789283731,0.7812194894877972,0.7394123479462066,0.8677272974383164,0.7848353966412789,0.9603254765301396,1.2333694784938216,1.3436791348176622,1.4119350577486662,1.4539200028058552,1.4525383460727874,1.4163601422908292,1.6094603207827995,1.4299066688787896,1.3650153389445132,1.2003228988971226,1.2024379270172467,1.2035204161277846,1.1349006143640181,1.116224281779502,1.0091191920293572,1.0706260446948899,1.0338188027122581,1.1634201861022802,1.0295381212463872,1.2255000288965125,0.9875212557250999,1.1112903393946543,1.276349536339814,1.2673378457522766,1.4974384788419057,1.7472916690643367,1.8502410248235652,2.1096826772844697,1.810596072325803,1.8196568250316165,1.5139623865645533,1.4157902887293605,1.3380193398679527,1.2838535343068156,1.466862046571982,1.3108743204629383,1.2950128307742275,1.364371134021636,1.244334804158796,1.5056712470820302,1.3507997725420793,1.1890509490081536,1.4700008342597009,1.6491764335461936,1.4108651844279194,1.4824228820905485,1.8494551848265848,1.8287491622168266,1.657128046025285,1.9435107511193912,2.181565691634426,1.8981252648348694,2.0362995473572076,2.5019749990091844,2.4419095483431277,2.7514986884538435,2.7785401861852908,2.450194496121318,2.6462881537470584,2.816703516220002,2.9912505433348215,2.731662275431246,2.4144527368417563,2.206269200379803,2.15567128301795,2.178586430475612,2.102118310136056,2.615682359804478,2.1042238433018197,1.7647449452939605,2.134305841945507,2.025785402086202,1.7730589109146568,1.984120014638409,2.3157332987002794,2.0220524288030455,1.7909170558269887,1.6275777779794727,1.4761690868710833,1.499735354605642,1.6377089983763273,1.4876623115773686,1.7400953974984354,1.3468796272614119,1.392418665326192,1.6328385909274943,1.427257227111163,1.2690419181954289,1.5382772298741467,1.6583021624305947,1.5821347746526788,1.6464453257528828,1.980480996567451,1.9727662610332268,1.9361118957610215,2.151128287332266,2.329168884277219,2.3176474087017263,2.2307432441752195,1.9763194221277034,2.123698154674146,2.4326418636516753,2.1105858434728315,2.081320110916401,2.3733624715439094,2.365748755458155,2.0417741938222824,2.447456491284622,2.641847386509511,2.3387950509827453,2.172927765499583,2.6939776790001604,2.8164627521633507,2.5269387897992073,2.3385584145125953,2.7623386657661073,2.750730739123659,2.88466669461839,2.3443924596647863,2.0496584416143593,1.7063217341109247,1.7878139070874712,1.636129067472777,1.8672557574684203,1.4931370021444832,1.6116349187724899,1.1666435885296245,1.1598522281535997,0.8877730411013601,1.0455607429280138,0.982053889022396,1.1948287622715,0.9813224051842675,0.9124326526243615,1.312159349761449,1.256741370448051,0.9785048246564869,1.051867654646042,1.6183111394605605,1.4472815256252942,1.4256482533251689,1.8917416077051517,2.6861100044368906],[1.032461933440964,1.0282106852957595,1.262592524864593,0.7929896206813524,0.797516768310798,0.8165117141997126,0.5525782040325113,0.5633316163712206,0.5393797552669748,0.6030949015041227,0.6420209188069892,0.6185204593648032,0.7383331191690502,0.8887163030339796,1.1138119276274994,1.0414938450823341,1.1570376573620464,1.4217009266857525,1.8513794014799643,1.6690406733099399,1.925635594821239,2.0348066751222254,2.1515830657687234,2.4779305156144877,2.032526745168689,1.9406811855932868,1.7606352793475015,1.4976664868662068,1.3571347994457599,1.1130181278134466,1.2468932190740316,0.9945060485501734,1.0003712854077764,1.2158889447262289,1.1939267952766435,1.3213912967660402,1.2107120097985415,1.509780444437219,1.4994225211122407,1.6421370272895586,1.83454214821513,1.895068601240399,2.049674078141033,2.2205863526726475,2.601496020652634,2.6032823280149597,2.7661681702678806,2.426897582792665,2.106742517621506,2.3415113796714917,2.1572328445759026,2.0318031235680385,2.0537987625210836,1.7525371944657395,1.7764804845608422,1.9499003480446933,1.9434386474499101,1.972456105337053,1.9370924703789525,2.35542357023388,2.0630772347224284,1.9373801726360622,1.7577413705951743,2.034962914003829,2.035380923535943,1.7955819351977986,1.8789034025660563,1.6907449000378392,1.831608692867153,1.6139066420543615,1.8091229685906771,2.104134904753213,1.82262552664183,2.052483558912203,1.6357885831437513,2.2442769992951894,1.7339720476374083,1.5982800933016703,1.5269387336955067,1.5984822573039026,1.4570464671765935,1.5158794396940745,1.2404227599067612,1.1730888116165104,1.410396554866086,1.3287353631163743,1.4622936196506877,1.3835796386558519,1.473587122023808,1.4120066895295946,1.4471770035406537,1.7185302574233492,1.4759214754190888,1.2022932450274753,1.0936365911759545,1.1186525974907153,1.0136117502191726,0.8496342345169009,0.6773789157541293,0.6313005187951002,0.7341834690150032,0.7633665425758384,0.7643171928232422,0.7905330412743132,1.141558766685598,0.8752008688448885,1.0727342261841866,1.131703782579782,1.0349318297932057,0.9103037685805284,0.8689260901090226,0.7456841792272807,0.614017128648247,0.7665754444463052,0.8463754513308546,1.0682624242280614,1.3605016887987484,1.6775860362599453,2.0344616171894754,1.5175997393466385,1.4372909974610455,1.1424326872432622,1.1388903692317576,0.8571686002620797,0.5941612369597543,0.6875611924601672,0.6733141973368432,0.7701874968621547,0.8936752630387655,0.9459333491916615,1.0920944610169334,1.1651756192794058,1.210155178480558,1.128904084607411,1.127271681880408,1.0051808766627344,1.0840999000399536,1.0680138533273102,1.1107732278473383,1.2139643331893177,1.7865904773444865,2.0769528087233144,1.792768020965578,1.480514346713811,1.5202108710048539,1.302594913689383,1.1716614743283216,0.9504064872349768,0.7564719002526988,0.6094195069629212,0.6616241730254859,0.5790098270494671,0.8410577202321587,1.3745342252588795,0.8759570610369051,0.5590706254470779,0.5890966617669301,0.6453954452276784,0.7344507591692636,0.7591673339405599,0.9363532599614319,1.1593356000963262,1.2937811840904072,1.383188906982764,1.481646344630896,1.4663616056598967,1.4904792889263287,1.7002582726385034,1.5126102805554946,1.4287675063076397,1.2767601413070986,1.243153102611709,1.2445569532947973,1.165150856451657,1.1163576523716638,1.0053331050531176,0.9947296396341715,0.9922657430035405,1.175049202320811,1.0678586949343314,1.2823478321916262,1.0416853504903365,1.2208997833194926,1.3460856534376646,1.3404473946805302,1.5502140024415363,1.7711709449241775,1.8986314119855892,2.117996919507099,1.8742989939149703,1.8764544823130012,1.5759757607123688,1.500094265688151,1.4239692951739495,1.4090892622199764,1.6304826731580804,1.4198227047224015,1.4183778109731038,1.4431939706552068,1.3024188405558985,1.5556464536377481,1.3914470956199383,1.2236213440970445,1.49371419220969,1.6576824921781974,1.4047204581515447,1.4621025477504663,1.8255861307533572,1.7971185773793317,1.6131605917246077,1.8924393239773132,2.1158242317176046,1.8232799708732976,1.972553268090636,2.4122178225746147,2.3749626675980258,2.6527678316348955,2.733778428322923,2.414138893967184,2.5948441414142764,2.7788320836976856,2.9034451036797795,2.7374257076413255,2.3885533416373304,2.2408567075620827,2.1837499281068475,2.174772461713735,2.136745094012821,2.6086586033044172,2.141565789051963,1.8262639751733674,2.2130154086072538,2.086150798678332,1.85710088930367,2.0866397276520763,2.389860618729334,2.0794135873645283,1.879921481357993,1.7023507319899722,1.6013825921739355,1.5954144860252464,1.6859389949507166,1.5424501589740474,1.7490697203120238,1.3793902934627709,1.4324579273117404,1.6581775201624296,1.4378693446935276,1.29328685321118,1.533171613709056,1.630657922420373,1.5459804299979172,1.5998582122797858,1.9373997502750675,1.9096082569087633,1.8791207326123818,2.0875544520260663,2.2707372393498457,2.270647039647657,2.202024641962738,1.97080158450339,2.123016207506058,2.402735135361309,2.093663081831701,2.0908858401752086,2.363285037874257,2.3502955937864156,2.0535050894136777,2.46308853356187,2.6284361014755246,2.3289047538953795,2.1893927795377137,2.733567599549707,2.850040770374975,2.525338575451902,2.320546404803865,2.7912223332166994,2.732173570215022,2.8365924110165737,2.285866216257551,2.0057289993700085,1.6456167482960824,1.7367358118248537,1.6219759336601645,1.8485756784125587,1.5240127850684153,1.6219569306080577,1.168278710470375,1.202323909724234,0.9027429243013015,1.040803603400957,1.0026174209850165,1.205355684411332,0.9391046163908175,0.8989103714175182,1.293635008918364,1.2052928956460203,0.9810095675639489,0.988894136597096,1.5066016081904745,1.356010928569601,1.25064488972216,1.7438043595319408,2.514603189361575],[1.0693290390617198,1.0388235790934808,1.2496293287116296,0.8121857230420405,0.7562388790232102,0.8306974246544246,0.5215733881190104,0.5484868428584535,0.5072088272702759,0.47815748869234126,0.500172225674253,0.5314478132563902,0.5823473733834178,0.6986973151742956,0.8979445633354425,0.8399986763474221,0.9590713663553081,1.173737350858101,1.5598024139105182,1.4019543720392085,1.6500420506072206,1.7703417737077813,1.8241854490822382,2.2117815322799563,1.7728347065424788,1.6928610657288052,1.504497601037657,1.2632962660535212,1.1251475888278548,0.9076383598901154,1.0114970844016231,0.8029678435808435,0.8028740733267831,0.9786456525047871,0.9693355601565552,1.0884999949770364,0.9966400814080707,1.2772745461897557,1.2611651136838598,1.38625962865192,1.5793632555276722,1.62457933423357,1.7536881510883684,1.9308307997858973,2.2665969153497123,2.297075253121158,2.455931175491619,2.10040864911047,1.8216229752016462,2.0292392572503344,1.850718768247703,1.7505350979992174,1.7418731661531186,1.4908671015323864,1.5200824204204866,1.6568695754727505,1.6556918203134026,1.6882061263647068,1.6335777886371727,2.077322664115053,1.7569729136986871,1.6302724384909284,1.4633472056524872,1.7278325780511425,1.7232321735241976,1.52176672091179,1.6168749152850412,1.398804049116766,1.5304911312707972,1.3251647857035083,1.5094850004851168,1.7704869406145844,1.5046168811712968,1.7289293028086865,1.3392254118725777,1.9566186499452258,1.4267345030692682,1.3113894950382277,1.258285931393079,1.3370993589925353,1.211692065217437,1.279548482278129,1.0761393786587203,0.9732961849146818,1.1837086211063788,1.109196817886119,1.2227995559280278,1.1693816444654994,1.2155651124867992,1.1727021880633663,1.1704263666381765,1.4381322389285218,1.2195042366222821,0.9678305230383626,0.8769299390000981,0.9149341469301506,0.8187824200135212,0.6809371690253154,0.5513734544783897,0.573484760146437,0.5944062379048843,0.6833918930895193,0.6361441747419578,0.6817317537386707,1.0187462141234969,0.7691012549322115,0.9330426291113909,0.9671690432872535,0.8977145363921976,0.8160458661192282,0.7940076550152055,0.6469561568135235,0.5313811391468597,0.6255591106950696,0.7096421048047432,0.9127214116872732,1.1646387050472435,1.4567236639061942,1.7530585913070023,1.2614949168372953,1.2070139730071183,0.9476525932372113,0.9667976477745643,0.7219958505876588,0.4968017744226429,0.5703016093285327,0.6199858503481003,0.66938381325078,0.794846412740789,0.8134189827669883,0.9526873747974803,0.9915770917945985,1.0128113337236222,0.9486838451438305,0.9549966039329248,0.8696796267528196,0.9590102632288725,0.9390189808601342,0.9696351710582649,1.0506557758214625,1.60850786850675,1.890617942997128,1.5599620627556121,1.2834147750868474,1.3020954528447894,1.1129991384271067,1.0048434340724337,0.7972983425861935,0.6280460539121374,0.5191764932789713,0.6002840780743296,0.5724107986603502,0.8173863993652007,1.3765944026741495,0.883588605573714,0.5205228920788852,0.5006022491276098,0.5771420801671108,0.5958924031391504,0.6377890340283631,0.7806183974225621,0.9739116624166351,1.1095759051401008,1.1827363713388674,1.2743847604717857,1.291503392785569,1.2971516050404395,1.5033778104680562,1.3493967637107651,1.269403846827563,1.1063465725373218,1.0634499634324674,1.05660473039962,0.9816140634037996,0.9342220250097412,0.8436496446508259,0.839427418074799,0.8369845094629372,0.9738191364657568,0.8857438572735891,1.0841808540922844,0.8781472997121099,1.0238479205662872,1.1719116162642846,1.1462975425561266,1.3185612628291197,1.5161801861543673,1.6311970529056754,1.8468318334680958,1.6271629361259696,1.6647979239833985,1.3673686864842889,1.3204705484761783,1.2606750911769475,1.203761083063506,1.3847026317783577,1.2372625179033696,1.203713041298706,1.2401675206444434,1.1569264768414411,1.3407539312148304,1.2109211054981515,1.0854236648676392,1.3094711357919078,1.444053324263541,1.2620690819974936,1.3436046700863995,1.6283218817808969,1.5988509358017098,1.4968284070609386,1.7443029356032678,1.9079023963573505,1.6862657944488595,1.8735493179811435,2.2259755787872337,2.1942904079355454,2.3792829597039473,2.437043439722675,2.1194289010922343,2.242842735345655,2.344675412628678,2.4817718101642945,2.2963472977573365,1.9905035733486933,1.8683266140799952,1.8076167235995133,1.8865166287120003,1.7819815960294356,2.234695775613736,1.8275995971712584,1.5116862169845575,1.8102351578506943,1.7372513837714512,1.5558925315122687,1.8055090675670473,2.041692496661168,1.7906969759353208,1.6669260118517166,1.4521546529029685,1.373097308033841,1.3225329924411744,1.4345917733429927,1.3177633065878955,1.4959991585827965,1.1892079746115884,1.2391083564380787,1.410127193050449,1.243235308964441,1.1261656988008888,1.358074514322987,1.4486411436492055,1.4043293587747,1.4573824777703899,1.7180456606191823,1.7125409430151106,1.736696004766493,1.8701235074950033,1.990779117685696,1.9745950128241392,1.8846863427769824,1.6938682703075367,1.7776429602482295,2.031384867609326,1.8053738405514765,1.770976866932083,1.983991499525718,1.9961502218410054,1.751810555666111,2.070667764472138,2.226389807095537,2.0121813999485245,1.8697981114699334,2.294863639489528,2.4338415714425587,2.1873457985803104,2.0762472771976843,2.448575821918137,2.537005120200163,2.5655952853535275,2.1782243264307013,1.8700927236750904,1.591328130331102,1.729658671567669,1.5504886480945619,1.7468241311228798,1.37349334528009,1.4429963796178107,1.0646267821617033,1.071787602689268,0.8196565930793037,0.9581008589713806,0.9172290163304396,1.1090955456898959,0.904657573490219,0.8917639061630622,1.252159998452381,1.2012084527549667,1.025304865515888,1.0122646190535904,1.4968298981442287,1.3443859214660392,1.3163803053647443,1.724045759708889,2.419195342568176],[0.9851665692657052,0.9916080897251097,1.206889807781373,0.8899983404523805,0.9292797923142563,0.9587497708030368,0.866325203617742,0.8468100418971486,0.8957179805014054,1.0313208334173067,1.0423678959959906,1.0210603903897837,1.1149764416646009,1.2470657159895395,1.3914748199879332,1.2997274219004813,1.4181770489875472,1.624786357896541,1.9516838867692965,1.811028101091276,2.113603294612241,2.207506897959172,2.18643286293221,2.6750812098731047,2.1670966269120764,2.134400070757403,1.8746165261034522,1.6707338692735274,1.5284725392159961,1.334263667029314,1.4742796432627487,1.2156580601618119,1.2386919266008227,1.4086157816324578,1.3738593570685498,1.5015882848594544,1.3668699361662178,1.6420312927973963,1.5895545841084857,1.6660079274467963,1.8713013688339366,1.9756196118420195,2.0775867809517132,2.2092117801481446,2.5304395802996624,2.554318514847273,2.7019701014709483,2.3414214504054223,2.0614852606572986,2.214256383825685,2.0357959099840395,1.966253178256198,1.9499838164355325,1.7693989000633759,1.754780128362928,1.9468918077887434,1.9738195961341598,2.021605234061486,1.9701378021996712,2.3437135248666605,2.111860384981371,2.0162295974376407,1.882506639484211,2.1397871618331066,2.1209331110651566,1.9664184856014102,2.1079458954726604,1.8284624913709093,1.962631653028161,1.7795225286694705,1.9725446808422624,2.1856010052302124,1.9594296929295665,2.144052434616081,1.7963729491407363,2.427032034428669,1.826970232985494,1.7312488332950096,1.6682675521550858,1.7335027549681032,1.5483924818385246,1.5867029923053422,1.450690163845983,1.3164715883050992,1.4570523429503133,1.4214766424670828,1.5719877860779738,1.4755075126720678,1.6072535361114795,1.5730302094744981,1.6011350759038778,1.834582949863372,1.6586559621785975,1.426457766673256,1.3421901183824103,1.3901335953733813,1.286127083320561,1.1644293138594917,1.0312480192231697,0.9895237351296647,0.9965601290286553,1.0027255861695796,1.0273206636917356,1.011485494740327,1.2985405475295362,1.0544635390115176,1.0686266931025992,1.078785735846746,1.0021608978300982,0.9817966862375109,0.9204292661875967,0.929887239194937,0.9192064636655862,1.0388276260406872,1.248754284072787,1.4035869375071688,1.609906566887204,1.8693961681990114,2.1275036079833436,1.711953673133523,1.7040619951279279,1.4988498459549067,1.51730991843722,1.2831448969936796,1.048852165229512,0.9935424545378303,0.9861421277851948,0.952939139461456,1.0078655053530452,1.0098144970292222,1.0934037201382203,1.0661141259734122,1.1213190708340897,1.1033011474173997,1.1537444537402062,1.144676195565345,1.1861674154258484,1.2493420901699703,1.3519287973727412,1.4651223154646675,1.9642505274223634,2.341668607259586,1.9457278171914953,1.682892825930677,1.652723017735037,1.5106676070813356,1.4276179439981636,1.2128324816042033,1.0472346379722997,0.9629514663371794,0.9300635737095541,0.8892914944310729,1.0469818495979306,1.637186385385706,1.2559072059222345,0.9060747131783736,0.9429833733774934,0.9221700931275547,1.0259772581489202,0.9574604143888316,1.1145452811978116,1.321046146271784,1.445378352595975,1.4921629902917695,1.5346154536492573,1.6085653144319767,1.5336287277768645,1.6934391124962838,1.5598552137797368,1.5095576011587073,1.3477944450867612,1.3393694996915535,1.3249035315313946,1.2573114655570854,1.2348311192530166,1.1536146669993697,1.2029578546562294,1.1654922098169302,1.2530747207970376,1.12981793921158,1.3203334390758301,1.123591742962624,1.2036838478762033,1.3505615878762793,1.3581614364790564,1.5296038169981279,1.7531380514918586,1.831283067146197,2.0491505224517828,1.8044738635553008,1.8248659490556036,1.557115429476398,1.5063543876347334,1.4238017926759707,1.296659580286987,1.3530840778005198,1.250175947175089,1.238537400921972,1.2971613934661947,1.202725305458837,1.398741843174346,1.2892928177999572,1.1564867512752486,1.3583708294733199,1.5085830313049307,1.3189340581248281,1.3735337396294731,1.6722042417806704,1.660554909486542,1.5247332528235882,1.761201880159233,1.9703545841441468,1.7357864668342042,1.869585982840863,2.267582729827229,2.2114513364882624,2.467189645968045,2.4652062631438114,2.1744261944088716,2.335313562110218,2.4525389272719065,2.592717429994537,2.347593814440422,2.0949028621954864,1.937039091326854,1.9050315465762298,1.978800685596239,1.8944421494692167,2.3566829709938064,1.8894900929357492,1.6190521707246155,1.947205961616798,1.844702489657616,1.6247342543980363,1.779611618693958,2.1032938579052693,1.8435212755479287,1.6618054878278605,1.5063945056661687,1.3502319021678277,1.396976759922649,1.5023431245908483,1.4011961839243048,1.6322543248805688,1.2686875668668987,1.3125545148879905,1.5110397330314758,1.3399019110485035,1.2207212342872493,1.418198664193404,1.5212162850772344,1.470271329550986,1.5095284403064082,1.7990639346137214,1.7993293139058044,1.7873945125231498,1.9506669623897503,2.0993856173411554,2.077796979739701,1.9936115598401274,1.7809406141567778,1.8906193346133446,2.146154079467162,1.8862932631428553,1.8585263488276145,2.0774981273333406,2.0815906890393014,1.8224790799224597,2.153791442555119,2.292071076464947,2.0652714158120093,1.9288411013851925,2.3492822249692753,2.4467108942802644,2.2054473659464953,2.063322937287226,2.3958634158392407,2.4403570790893943,2.5602309680811666,2.115089342798945,1.8454301585730049,1.5581764766731967,1.6191849882397664,1.4688232957908485,1.657642880837313,1.3537884574051235,1.4604483041013743,1.1366542166613942,1.1457014650604815,0.9723434479016815,1.0184733328727462,0.9591157106716124,1.1114506214350035,0.9505622399543541,0.796230899253556,1.1842621491829821,1.0961447840383658,0.7560091146574821,0.8817974523902566,1.4312547073272688,1.288951498944564,1.1886989648357882,1.7702522939800729,2.614286810889887],[1.29208568707635,1.333118928410078,1.5948817921909073,1.0385566786836122,1.0590403439878366,1.0721437833325804,0.7378668190090032,0.7967098181859529,0.6692660596354569,0.5251825455976612,0.5434594078034015,0.5965900053168389,0.5560046460202382,0.6585114564097645,0.7980794823540771,0.7215875545241939,0.8411717538768005,1.0329529293586608,1.4463979582213553,1.2207511584390884,1.477618876858262,1.5679520873800887,1.7138207312234348,2.0284099655478176,1.6066404989121426,1.5253623156527627,1.3143907950368554,1.0914984215078631,0.95558334271562,0.7398038918133375,0.8535692943947362,0.6832585635056729,0.680849653654645,0.7984445049448621,0.7874325319750106,0.893305806873286,0.8168930784644498,1.0627591884872227,1.0559718100759303,1.1875447033728186,1.3686218106346428,1.4135995686241993,1.5309796869692829,1.7423988807314597,2.133195765919903,2.1883611759847645,2.3514892009109816,1.9519479120972612,1.6491267669625596,1.8976001972715693,1.7032840615329947,1.5750928481395619,1.562628455181732,1.295392987400627,1.3801375340239548,1.4410536394167075,1.441489016828489,1.4425452313839338,1.3953033066331597,1.8913360084191104,1.5462437550021269,1.419130221292467,1.2566709750715621,1.5584079790213943,1.5366575056925933,1.3125506793302024,1.47746245016063,1.2437477077224752,1.4383565468227524,1.2334565703814822,1.4547139476963418,1.7584540401024158,1.4396112397158294,1.6616535698878299,1.1859676071930523,1.798370393163645,1.2349140837502202,1.1015678890277756,1.034665198929368,1.1104919110639595,1.002626430406272,1.0740126371336705,0.87036965464639,0.8943001127974505,1.0462872021378684,0.9309719313275,1.010416060312364,1.007368582185414,0.9960518354390365,0.9713152542816929,0.9927832267275357,1.2723283841136426,1.07480522021776,0.8214902699356341,0.7629693212210338,0.8343934018249427,0.7951928386631144,0.6261681488694708,0.5844920712963749,0.7721290119227406,0.635457770640274,0.899997349596366,0.6734652100415803,0.9077602679285873,1.016737630720539,0.9831255585672057,1.2420493720711288,1.3387079397520956,1.2879116882892445,1.118687492847128,1.0492918279099643,0.8127325878048225,0.68674072541969,0.6444552976576435,0.6344536653719488,0.7985433728897976,1.0231592625477248,1.3250915035965318,1.6481475409470325,1.1297122921249994,1.1170429811426454,0.8806037673754938,0.9103059545797365,0.6658982998901928,0.5644453209979877,0.6513054384722435,0.8384527720833148,0.8970557221181509,1.0790611047150485,1.0518153441850828,1.2639440903942867,1.389028605158395,1.2606620428415423,1.15383019397593,1.0983087733192791,0.9529069071956757,1.1037076428366739,0.9374105720333897,0.8795313942438979,0.9012746864105506,1.4595815751588503,1.6908005996402875,1.4055917945869518,1.1092216381221578,1.1140982718581316,0.9241711385389141,0.8401697613193315,0.6964262996520146,0.656345622817323,0.6340977598946274,0.8851147820272929,0.8699287227414346,1.1210602619772239,1.6415125537446351,1.1097518265324628,0.7994672804298881,0.6461820464261888,0.8296916106533176,0.5846497532607633,0.7466327170068533,0.7644423412226798,0.8242451542474608,0.9570273430615366,1.0406419273945244,1.171708949337433,1.162503611997619,1.2372821318845701,1.4612478569604117,1.3541004748881347,1.238358932623957,1.1151583559527176,1.020144499307673,1.0156377988421421,0.9578845498846633,0.8714643883330535,0.8325010442984061,0.7572594196771759,0.7854980279753876,0.9116492405288112,0.9189101138179051,1.0427472667828714,0.9561396231825905,1.1168076668868627,1.2221625114627621,1.1226917231759252,1.227578243804853,1.3692005491293016,1.476863091412285,1.7053175585922908,1.53846194054885,1.595639401954469,1.3049548272623837,1.3035712833249642,1.2853148313017915,1.3787072121385116,1.6850122084709542,1.5918740467226826,1.6863700336605043,1.732075881885991,1.634155756225833,1.8989078349972317,1.767118459197705,1.5687509845032717,1.834106315124513,2.034129051298338,1.7843718384881373,1.7900282625856607,2.1742980380791646,2.185491795212917,1.972027768477324,2.221421255090162,2.4585457699879796,2.1989174482973803,2.3114759335564505,2.6946685083209907,2.639007792948987,2.9480925276121255,2.9645341267066065,2.7061932395537966,2.899334383287236,3.0492441265637655,3.132871760711606,2.904267064303347,2.7062534653596697,2.5160970605678865,2.508769040321546,2.597241060868988,2.457989511796591,2.861253109366073,2.434910424689512,2.1205840671695895,2.4291043377359425,2.2814677033379183,2.1072576919596857,2.3263069402884256,2.586758741751447,2.2994458691506434,2.1282701053906283,1.9929053170027808,1.9179558309503522,1.9130028412122442,2.0665182919837317,1.9299889795691978,2.177949378967567,1.783108354024079,1.8424690343576968,2.0395227530921387,1.8684805351567986,1.6989702013925325,1.9705874631704827,2.091633855616276,2.00571148531672,2.035162727512199,2.3608604443380017,2.353624328042787,2.3141079051167046,2.497852850298067,2.672498264402113,2.6558119916418,2.5940666073533865,2.3604406667251387,2.484381666424759,2.747396350434576,2.441969630226603,2.4203367769433406,2.650656733932187,2.6366879034039625,2.343843797909534,2.6789848022651515,2.831550570923815,2.557181492115874,2.437317511686427,2.9169043297515675,3.0126475432737605,2.710108175586744,2.507983104458295,2.8515565896886113,2.8193579003465583,2.9821239732011655,2.4566880382751073,2.253903992838223,1.8916318183485896,1.8758557036142545,1.8108908995688462,2.024538215834203,1.7526330316234136,1.8973303259823802,1.462317303628985,1.491363047220553,1.1385410769288344,1.3375209239258812,1.331551166779928,1.5917557341040427,1.3231775417304734,1.1755675736389424,1.6597910988682547,1.5939091277448196,1.1523592052695038,1.2891290222698866,1.802296999998287,1.6992115192201156,1.6626951532151477,2.2730966560753334,3.06743690087175],[1.2322825380384512,1.2847469326820216,1.573789848733881,1.1282159038655972,1.1328814177386894,1.1836546309858174,0.9246514671284563,0.9811910674835134,0.8867587773840766,0.7557034156803821,0.7699849412294636,0.8152814026142278,0.7712846907709394,0.8119812525804442,0.9018994963482148,0.8841398162985177,0.9500993275411685,1.0607506172906895,1.3962114458260313,1.1741031946770897,1.3167018982234917,1.3952614857319947,1.5979395535931697,1.7615519656504013,1.4771378821496175,1.3776111530390507,1.278426674850556,1.1100221247934123,1.0303082297687534,0.8924852978398233,0.9379905834935663,0.8972456768317206,0.8826159721114373,0.912965299576301,0.9354016113880907,0.9798524516535974,0.9637145866071063,1.094343057751241,1.1026972204421157,1.2049247602785162,1.3410732001203687,1.3424045856638207,1.4438368866433693,1.6531629518058004,1.9979371542147568,2.081887340545877,2.230099859907442,1.838431962995368,1.580903634004646,1.7853310615818647,1.618794060921634,1.521901017489674,1.5051881974831687,1.288876537291602,1.3907602116928464,1.3853007400093325,1.3826485895073664,1.399268394601465,1.331847325957591,1.8311407460802531,1.4339629719810194,1.3248974236972553,1.1756725524544573,1.4166022459860694,1.3950229852647755,1.198886800348641,1.3102876392029257,1.187135913640816,1.3570863864035736,1.187530800460027,1.3602551952394284,1.662103382932636,1.3305940724136671,1.5195421216079066,1.121141961058476,1.5842256156753083,1.1928761242697388,1.0784123225044648,1.0455437345239147,1.100506595147786,1.073115184862327,1.1167437422293376,0.9383187567960157,0.9720248514518817,1.1054326658020646,1.0266641549861613,1.0616080601794744,1.108603328292873,1.0318251109873866,1.0175861356941152,1.0254790196343755,1.223025026789782,1.0875070721964506,0.9366340623011404,0.9103705574125833,0.9224614423715491,0.9182051323584705,0.8255240402026975,0.8251056621603786,0.952047734541081,0.8775962693887589,1.0461503663819085,0.865712846487573,1.0220672753181268,1.0703223376774746,1.0378871309386062,1.2592083850311602,1.3200213851436322,1.2702067575665568,1.147737422484787,1.1207434918711954,0.9497198605188867,0.8707913683333128,0.8575378254431986,0.7893299012844904,0.9032196930553844,1.0624165466614581,1.2985371795315006,1.5608025760025952,1.1157282367813228,1.071947184292569,0.8961836662395213,0.9336856978956327,0.8021052443043502,0.786917171696857,0.8625755548216192,0.9370952598375096,1.0050845545308633,1.1186929702967134,1.0858376340907405,1.2352681858663674,1.3231019106125126,1.2186942074719027,1.1513918035711805,1.111047060657981,1.0233324965454356,1.1295656603949393,1.0264655314834643,0.9882208690154619,0.9741589137859689,1.4156735950255726,1.5062639673491283,1.349285820584596,1.1134033490318824,1.1377666198764276,0.9920422999657833,0.9398080908499983,0.8701415965700651,0.8452092594107355,0.8393220872308739,1.0102140788929888,1.0349868081582336,1.2148124703711327,1.6585015882011238,1.1659075136805916,0.9770430325500945,0.8584133715482937,0.9897073147039578,0.8015308547389902,0.912583430587096,0.901294138046076,0.9469211152427919,1.0300247986696796,1.0873495885472282,1.1858790497884035,1.1455083098616983,1.2136170779810183,1.4043883773563675,1.3028431911553837,1.22886208877482,1.1176918665178703,1.0732596695442536,1.064743553017414,1.0302216295651119,0.976063064696557,0.9598878718389069,0.9201823187800338,0.9232079624724987,1.0242742917313485,1.0175905686180091,1.0890539017376528,1.0242169825640182,1.1224710991032387,1.1869750199427078,1.1234411910324462,1.2169454072841481,1.361140277298789,1.4165718765160282,1.6114706978784925,1.4778911888587485,1.5327815387545078,1.2609752699182675,1.2341664666856498,1.2236196011105092,1.283421029377792,1.5464745851698598,1.4898969489165332,1.5545385045974283,1.5929619739100955,1.535068513708926,1.7415208115813812,1.6445990326573499,1.4896514337497002,1.696640530700408,1.861605711727505,1.6702368425714829,1.6849216956863025,1.9972465551430176,2.0022727557723226,1.8493250745217693,2.066031118811378,2.2491468432974573,2.032289271105049,2.166275702192357,2.4928579031776223,2.4567176085675344,2.6949618271532207,2.7312320348252763,2.466366314128322,2.6162258578359294,2.7391304090746,2.8015527906517224,2.6396009152617306,2.3946265493879273,2.256603915002677,2.2384038292409505,2.3388820647604995,2.205754510159495,2.6179753675125688,2.2137480532712432,1.8953663969633423,2.1814973345734505,2.057916898516451,1.8877936333351577,2.0995645616422114,2.3428176446793763,2.0722399083754373,1.918235418581002,1.7993493170048451,1.7655861351182316,1.725830580964805,1.8733976786311455,1.7634044625947143,1.966542211576284,1.6381957794373845,1.6952427805622288,1.8438538468275598,1.7077640568448724,1.58257545947261,1.813003882382939,1.9142939671618235,1.854408440245504,1.882126659803385,2.1473806524421524,2.138090062615091,2.133839351238068,2.263224604990172,2.4002879687096677,2.3914420428920384,2.3263125907111384,2.1355358496871055,2.2205119160850098,2.460071679808854,2.2147202201627225,2.1895993072750075,2.384857520355752,2.3843775513835537,2.1275345397946728,2.440563711416105,2.569599246767849,2.336630384162337,2.204555564229023,2.6291094782017015,2.721913344191537,2.467157681349773,2.3284701668408134,2.6582000500614433,2.691072884317142,2.7983506498423516,2.344949956098254,2.1221605771669907,1.8236374269262232,1.8512542433414887,1.7519210955909348,1.920762225032905,1.6296659046588244,1.751715521415702,1.400332364862561,1.4252328882618333,1.1620182173390285,1.3236555836473056,1.330652368018473,1.5574656018848625,1.3377290184789348,1.2640523570356004,1.6598063299740682,1.620614878382759,1.3534779800012318,1.379321151128946,1.801027930698391,1.7308442001718414,1.6823275876039612,2.2018241683691313,2.893741696695278],[1.1110262206728583,1.1389570180767274,1.406547649008116,0.9225479966578012,0.9260229880443382,1.001783239020789,0.6736647238395483,0.7309902026657579,0.6335383508799519,0.435191890446482,0.43565117355724936,0.5665568614383774,0.44285188703617584,0.47509955601411064,0.5886008662593115,0.5386605453207071,0.6514310330809894,0.7893128005864336,1.1213256370745956,0.9629703271901563,1.2144583093555092,1.3219236339763194,1.376648123328685,1.7756944104746915,1.3573068522703355,1.2844479361942402,1.066106334670598,0.8632893196807949,0.7277642408013153,0.566496472002972,0.6432006826703005,0.5126433666587519,0.525385628702937,0.6030076305808407,0.5944876333889705,0.6825884114317228,0.6258198612562182,0.8401627271631075,0.835458165712936,0.971281419003802,1.127970721697944,1.1515696599232967,1.2537988045797386,1.4596536234649575,1.798358336026538,1.8955803121051957,2.0739314026739857,1.6217137447017662,1.3765357020085591,1.5742168861181396,1.4132591779326076,1.3034730320525316,1.2628001190940057,1.0651167415068878,1.144592156339578,1.1894564712909668,1.18653486662626,1.2473763822376285,1.1720398863142052,1.6599815040105539,1.3029408982809982,1.146149386592392,0.9875655843131071,1.2481911675870871,1.237986965710352,1.0839458912233886,1.2243321242814889,0.9472431151592484,1.122846277369856,0.9380476227050798,1.141460656276187,1.412480939737135,1.1056395997499053,1.330073108890708,0.8997721129154473,1.527423907099039,0.9379547987684836,0.8304766854438856,0.7988736728351404,0.9032856061250139,0.7910789830676357,0.878095959632958,0.8081281960550691,0.7424614797370555,0.8417197310095225,0.7299679728534042,0.7939777470544136,0.796503918301021,0.7774774945785073,0.7588701718235309,0.7243873688137032,1.0039598061392887,0.8272067784848165,0.6034856428289973,0.5626495970142804,0.6330487028881248,0.6168792375795823,0.5368030740185759,0.5236935291192061,0.7291790481054434,0.5454097407186986,0.795918424848543,0.5949162879069358,0.7960510430859521,0.9328672318345337,0.8579026282202917,1.0742723544849864,1.1016607699429566,1.0495411279595188,0.9324493475226326,0.8649247482162613,0.6697259498492047,0.6025321330976192,0.5234506625588989,0.5522846665841363,0.6667914982837478,0.8342382208020459,1.0870402321271184,1.3297110591739079,0.8586272524111647,0.8636192722552245,0.6848110230998881,0.7425570407428096,0.553108500919173,0.49489752954152294,0.5366279371695191,0.7789791444625856,0.7489810557221386,0.8991155739862156,0.8432170608158384,1.046069470197362,1.0913668465853872,0.9909370128040608,0.9311127244325242,0.9012479704710687,0.7883946350770406,0.944984998821036,0.7825364497102593,0.753908342006748,0.7906285876008173,1.2602638011275369,1.5090939949617428,1.1544001450474601,0.9193364814646658,0.9104554566774999,0.7643641718813922,0.7201659711292092,0.5716706216303803,0.5673240521359018,0.5637968786859772,0.7766817091965496,0.7940424930127865,1.0335703673876464,1.5937649820594666,1.056545986554858,0.7390992213440137,0.5852415247133066,0.7259678044139705,0.5048169431585935,0.6140034219709336,0.6123380129415148,0.6653004163964448,0.8008985713880692,0.860740230844786,0.9767804057240378,1.041000644172959,1.0703579078929717,1.2724021415155602,1.2200370139028958,1.0809488679714927,0.9573211255938411,0.8471004347749653,0.8394534690132521,0.7846432139134905,0.699739575880247,0.6823963978724472,0.639141302287172,0.6634291752572918,0.7217243029835998,0.7322627717514472,0.8432378331833079,0.7789943464796965,0.9096667908116169,1.0555000568595194,0.9492603964954371,1.0314328398462285,1.1603323844695954,1.2510429968274324,1.428679271445822,1.30821532147495,1.4007001621234685,1.1195927776937171,1.1399395534957584,1.12622865530082,1.11089681848517,1.3010830711206185,1.2536300672151284,1.3195457028831719,1.3937525309303114,1.3380320150007188,1.534759275616887,1.4533793862741247,1.2979537115935809,1.5008819629248753,1.6694022990062145,1.489929109804158,1.5145009328137131,1.815987453002582,1.82699334987794,1.694081400195392,1.9053250158598711,2.0886197578776335,1.8897441538404178,2.027534813169835,2.3453778158248526,2.3002791626452948,2.5089406893753696,2.4953959726149635,2.2483555068550367,2.385326445796257,2.4730705084086915,2.54844070536505,2.346178148864357,2.1382200164187792,2.023716488455085,2.005775030581276,2.1221280336717507,1.997708761734604,2.4276011060951816,1.9870206340131458,1.6984688005284654,1.9857630125515697,1.8740723919263278,1.6816365485378033,1.862381275278699,2.1453355041522384,1.8888054833647698,1.7499101283997385,1.6024513640014597,1.5062317000303862,1.5085691770987961,1.6462112578181438,1.552045397432101,1.8074626877152344,1.4445596008114583,1.4965230212677316,1.685364828405584,1.5342681666915468,1.4073820313518155,1.6197752653052226,1.7274458306227785,1.6881690957644702,1.7092546834823095,1.966477461572923,1.9700274254331178,1.9661223706252358,2.091255210218603,2.2126804651364673,2.194629120573138,2.121140586971493,1.9362764380018622,2.0120984663959742,2.2366374984225637,2.011721570265175,1.9737507835046246,2.148291271930713,2.156901792361079,1.918758680925101,2.2023831385831016,2.3020145179447353,2.117730800175633,1.9899229467482062,2.3419995125676585,2.4159712845441583,2.215559854217806,2.1091908613127024,2.3543537290049077,2.4238700029125044,2.5554623167677937,2.1786928221296433,1.9481945086883867,1.680804373652042,1.707007268601994,1.5640010164448361,1.7217919736424179,1.4353531571540623,1.5696527799045885,1.2185193834666153,1.2348077423959793,0.9420935624648024,1.1309551160650817,1.0981732786139795,1.3385580785718956,1.1292377945503658,0.9492157220431681,1.4426038090336721,1.3949401513861033,0.9709833036258003,1.13630107572003,1.646669533138939,1.5522615642990396,1.4997803505685579,2.07644598192764,2.8114077284882297],[1.5741116245391737,1.6142569512717115,1.824977896367352,1.3634400258127537,1.2945552574338366,1.4607025824849464,1.1806327513020078,1.2251274187575805,1.1988130707175448,1.0535703058088133,1.0820342296675414,1.128564904239872,0.9960318918831836,1.0556321148440655,1.0800440344926214,1.0098879959180134,1.0510073692804314,1.1404111502896057,1.3566083721384978,1.1955907597831958,1.4604059630183144,1.4903514797710653,1.5293235641654002,1.952207066320047,1.484066250510873,1.4930657903918128,1.2046903210821946,1.0937758215916484,1.0093656912376177,0.9174652162392782,1.0890387389552538,0.9132277310441047,0.9813181593506641,0.9988304803266226,0.928296999095296,0.9835460751666096,0.8770617863615264,1.0189119957392747,0.9387646616714779,0.9693520129856062,1.114943858858564,1.2310657573593586,1.2887298426623912,1.4328204707713086,1.7766614177050433,1.8788500107606287,2.0467368893991447,1.5626822984133804,1.2979220546236219,1.4737965328911944,1.3083899019678402,1.2119126597245766,1.1767210868725977,1.030108806302696,1.1382886045858782,1.1584391064874922,1.1932118735509045,1.2829482352571218,1.2384815133971923,1.689429840682808,1.4143185125899926,1.3053290519680962,1.217522864592726,1.4403211754078757,1.4139934891528634,1.3068497280585967,1.543393808536303,1.2511245704165257,1.469975760380739,1.35175282133907,1.5370407032822322,1.756463869450114,1.5143237766246231,1.6436607622366755,1.3035622583246216,1.8203560299552286,1.2000103101834247,1.1222860542987343,1.0557375187989961,1.085818630727454,0.9251729166138734,0.940539627225933,0.9628834307892665,0.852376590739694,0.8497515587763573,0.8455077754293628,0.9308273819639,0.9643859311523972,1.0256585299456629,1.0436836052672605,1.081214730294289,1.347811458330059,1.255504745792293,1.083459926449462,1.0641445769951399,1.2074914204991207,1.170634271218611,1.0886710953072525,1.0822875818960493,1.260398112195908,1.0238409625422664,1.190082386464704,1.0013771838679502,1.1824182687549263,1.1626563055300048,1.1705260745676838,1.3996629326741055,1.379356622682607,1.3582735290243775,1.2489902181779329,1.184571634022256,1.001324627363068,1.0459446136962034,0.9073178151548491,1.014604727679286,1.0249699431897514,1.1306824269859082,1.3241799345800715,1.5463779954344161,1.222825836457939,1.2849605267602326,1.1649178230398303,1.194712637906213,1.0417478646344394,1.0282777995144399,0.89690838508296,1.1959091294353008,1.0366382737393434,1.1490004673483785,1.061804583438713,1.231216393032939,1.3259898034736082,1.1100634592627219,1.0806365610490833,0.9786300189774089,0.89564811717157,1.0276956901725574,0.8504195136823416,0.896683370022677,0.9414836848665108,1.3663272713415284,1.637833724440498,1.3120963442683502,1.0855750369993702,1.0284846505329626,0.9667228863925059,0.9509932777968613,0.8910196313921597,0.9443924688654736,1.0301985407107412,1.2216491207376885,1.2780266737590655,1.4676760091648977,2.021157723041247,1.557920193367818,1.2545090309633213,1.0974897797971936,1.1575394461099173,0.9627426152584468,0.9602166054938407,0.8320265150328467,0.8417296361475722,0.8830075082424244,0.8909206634519233,0.9340743403071861,1.0207006913819476,0.976610345713825,1.1490144462622038,1.1203412766176182,1.001358541128827,0.9164178755825634,0.8550901338710027,0.863164833731944,0.8688717940259358,0.8229060724449331,0.8907773226003847,0.8969172332738857,0.9249872065338006,0.8326104082332872,0.8942082759043094,0.8851598557269831,0.9486302215160828,0.9750012626799277,1.0550118832406936,0.9200846276928747,0.96020796032955,1.0952774670284604,1.144898187122058,1.3363836848632273,1.1835009409418906,1.2643750529571625,1.0107248995602027,1.0484772711240973,1.0794975859903992,1.1624846656459498,1.437630998356312,1.4220252075650652,1.5792327054679838,1.6939899991615757,1.6669020859020354,1.9437143218098618,1.8893438124873443,1.6890427728239041,1.9164113883007987,2.152881543723774,1.975097520880664,1.9365528463386141,2.3102807071353406,2.3805359717557533,2.1903348199323878,2.4064953935534947,2.653267977990377,2.4305055583150788,2.514291312016983,2.87756886291972,2.782354416736957,3.1031310036457382,3.0062628086118983,2.7850766706199517,2.988284144561967,3.0836855009185777,3.1879186194197793,2.9048784839991764,2.755511316016269,2.5869033213660204,2.5627679411942417,2.662123802737212,2.500461455442939,2.898085285305855,2.4321279159154097,2.1256999489177644,2.424241346949094,2.2626302763197037,2.035941789178802,2.1770031929652425,2.46425501050141,2.2375838639728114,2.0193802453184673,1.9545486590330525,1.875039554633714,1.9048980753920344,2.1141849543185507,2.0290092215520423,2.3466426263682663,1.9352945346128596,1.971040902899888,2.237538333171806,2.0851166069754115,1.9026307400266398,2.1562267939910535,2.3056578648173858,2.2661130909060416,2.2630860661441474,2.5584538964193992,2.568553851897743,2.5306619085007864,2.6805415993749304,2.8265316747609437,2.8012948815747105,2.728108124635413,2.5116469113547537,2.599009605773929,2.8445955112216046,2.5568846131335534,2.4840007476573076,2.6946645130941156,2.6940301540539786,2.3857555148717022,2.661107567870471,2.8086198486485445,2.553491221316031,2.3973306886965386,2.769303408650309,2.8547723790560164,2.593391038458733,2.4595587418571507,2.6576586440500845,2.6819115799387103,2.963892720193129,2.512844066435037,2.355588852503943,2.0775676615699443,1.9914841904432992,1.8515228923969322,1.9555993227413084,1.6683794355551584,1.916628752186831,1.525471768824193,1.5316614486542706,1.2306159550662523,1.5249418823507723,1.509667858049558,1.7975828219562267,1.6124227450661073,1.3354092909613988,1.8919332295317055,1.8684997235841807,1.3006136641538677,1.5565979218152353,2.057474250360822,2.028191909181849,1.966626623155262,2.6347557423989483,3.4081356428016716],[1.5439811951576379,1.6580486604768878,2.0116756019635647,1.3989773162104358,1.4851618233044643,1.560006386879154,1.2156694418142657,1.337898035013171,1.1187590665839255,0.8028643068827459,0.7735362017048965,0.9813965689157096,0.774057235723837,0.5792225941321033,0.607867366498727,0.6820087783904024,0.6630805868114205,0.6623831692283912,0.8844180333107832,0.7528448478781344,0.8974802985287905,1.0212531201632065,1.1692928955512738,1.4311789811340727,1.1122049488287034,0.9625834246624089,0.8774819048523858,0.7287462725078913,0.7029666941369463,0.756534157940908,0.6382758742646296,0.8421178955206778,0.839369644911593,0.7458214426117828,0.7802306599294291,0.7304440141431833,0.8634922407263133,0.8507309700267559,0.8736308164057411,1.0355747138490163,1.0761493856949682,0.9958685412290302,1.092415261728062,1.3396363611546362,1.6991347061157163,1.8073644782020417,2.0135377353272603,1.5368661400896555,1.3129394605170226,1.5262352022125074,1.4233941291913665,1.281824081824051,1.269902426940531,1.119206072149595,1.318241260472536,1.1287617158655079,1.1018954834250434,1.1654780033156982,1.0790563050207491,1.5497941836434805,1.0893193086188886,0.943099081059467,0.7830773209639235,0.9790605623505179,0.9824371914770985,0.8234535806719561,0.9163201852470824,0.7079294764702279,0.8820959234234002,0.6804926922583576,0.8536311136839452,1.1685722917726111,0.8071615439944302,1.0681241747184056,0.6875475130700509,1.1755744751033097,0.7474117085726998,0.6990915638080067,0.7692384573111699,0.8564293847315839,0.9308244153212486,0.9920219674210146,1.0944158842820395,1.1128528670113282,1.06738722001665,0.968349575697319,0.8949116870326289,0.9419190565235325,0.7566635084305299,0.7640521861205174,0.6658352057758609,0.7988186637753634,0.6996543369475509,0.6862765032723376,0.6888521067141213,0.6927501895267758,0.7595922142833463,0.8806588178874037,0.9888155549719696,1.3167649221186146,1.116817651928393,1.4050552096971178,1.1965833766000182,1.461666233556566,1.366201089624653,1.4866637713395454,1.8311130068646215,1.8603459189007747,1.793475665475775,1.6284634566896463,1.519863279118131,1.2762382245230506,1.1679510318541626,0.9690925572507536,0.7347477736908878,0.6371122834465249,0.6674119091465621,0.830392350726474,1.0458987797108388,0.6292435446700475,0.6037397053070775,0.5338531082366664,0.550372235149458,0.5816897755772995,0.8048647290047961,0.9636230133692373,1.3323386781923554,1.3256398590600957,1.5105566446173315,1.4616868201410784,1.6501279348068474,1.7916843624982832,1.5653137686055831,1.5357967696657464,1.3579625375167925,1.1911543076224163,1.3445328864781005,1.0281631698479052,0.8173235676374485,0.7918617328071167,1.0363385125759368,1.1427815490001665,0.9259801594088242,0.7814425464511272,0.8510065798384527,0.7832739890814204,0.7957381646123026,0.8743637087168762,1.0654553301118015,1.0864518426948946,1.409349975423162,1.4193122102717812,1.6934400114383867,2.1183261889530893,1.5677223298465153,1.398949218154222,1.169206764263549,1.3801070890798766,1.0412995226184092,1.2394547103121063,1.06706847877601,0.9190456279990141,0.8872149953351458,0.9689324784303661,1.0617926293716569,0.9871624750199586,1.1593713103458954,1.3004021817668379,1.3195765227418486,1.1356307111626756,1.1625965635573194,1.0392972031430268,1.1004333828746276,1.1403035870480007,1.085188620108505,1.1786877254831543,1.0710964881268457,1.1828965236086286,1.117803719437691,1.2726498672035833,1.210005996345314,1.2959747732600317,1.383008271636936,1.435986365020245,1.257800169302941,1.2172840446061888,1.2246490960814633,1.3008323980934364,1.404219953190549,1.4095610120525224,1.4956353104124618,1.2655228118157569,1.336033793730001,1.424891864534404,1.587999639694927,1.8819418212026644,1.8610939113888698,2.040068365908975,2.134320164455547,2.084843558730001,2.374129456026762,2.3030261182863576,2.0860221238171586,2.315694669847425,2.5465503208723117,2.3345283657457654,2.270236328132262,2.655069718026028,2.704081847539,2.4670002835633156,2.680681136103044,2.9111615349667934,2.650814894782681,2.6949743309584364,3.0720566374439717,3.029418227545704,3.3256319005256865,3.3243985373008327,3.1093454493806494,3.2885488046268057,3.388168815809474,3.372408442735966,3.2098558678945452,3.0729838573604704,2.936828962147259,2.923611307272797,3.020200372461965,2.8604652549158445,3.2052371594300544,2.813180701065158,2.5185746499343233,2.750015200126646,2.5877306235885134,2.4304973670832006,2.5664246434613514,2.785943427315913,2.5386096808764522,2.3636989011555674,2.3753369284040273,2.356008899970355,2.353843210292611,2.5499082358020924,2.4579432103352765,2.7479856861823113,2.3672585819326746,2.398658118204999,2.6181420512840785,2.4761505021439314,2.306066491901607,2.538819957505317,2.6589113954857497,2.5904199335842546,2.583937955000489,2.8808290360784086,2.8700397444619563,2.800185388348992,2.96382868799751,3.1076089020737756,3.1049472523059434,3.053805971907486,2.8696887760932634,2.955522069913959,3.1692026285289585,2.915644166746241,2.8767445451909155,3.0547814631723282,3.0540216175313466,2.770196869805384,3.021713488761868,3.138310185713773,2.90892237589905,2.747169746370194,3.106482086045539,3.1647157434223407,2.917690344623206,2.7980140147981136,2.9989913072155048,3.0166304209062096,3.284321881672474,2.7941269540797316,2.660965015229803,2.3126944937153566,2.210350203816627,2.148731679356369,2.2874450208759467,2.077304481742543,2.2902814412461048,1.8721304655103963,1.9320276703903985,1.5683039656450288,1.8292317085943561,1.8835413630273692,2.198875452481906,1.93017311195442,1.680230976102499,2.254943543138794,2.2233902482321066,1.5736787555064344,1.795576976067556,2.310861959868723,2.271568297696378,2.3417718512945576,3.1159950196565465,3.789812891237773],[1.1588883135194072,1.3192738388670862,1.7358347827049991,1.2458917584020341,1.3679763876758935,1.4371224232365603,1.1575703441335106,1.2612504120249384,1.0842487539889571,0.8587972520136202,0.8390323022720643,1.0295483655546707,0.8279245066391037,0.6791306595503953,0.6797350673219782,0.7465549260676062,0.7223398469250331,0.6719805558307322,0.7779827028026619,0.6802217313774223,0.7706534575233539,0.8911786020279174,0.9928499878927469,1.216807149331759,0.9676267067869413,0.8070043012398623,0.7801288607483614,0.6921589928359471,0.7191732377316915,0.8026709982164486,0.687289084893708,0.8960306575046674,0.889581386813769,0.8065361882344282,0.8218622823937273,0.7447853479629287,0.8898743703858432,0.7993554731987402,0.8196432191565336,0.9540360235973756,0.9527375455433115,0.8699541240167098,0.9428657141723422,1.15058377781064,1.4880550768195724,1.6175752935608416,1.8106323641085305,1.3227109937529125,1.1311562246114486,1.311469385436849,1.2828467314930034,1.1219817017458864,1.1150549022392386,0.994305348103535,1.2669846653149677,0.9959724428275275,0.9551858827474243,1.0438740947706209,0.966446128140289,1.4392319516239571,0.9830569504264742,0.8646120327056203,0.7312993929162913,0.8584962713480134,0.8849443461477347,0.7545272646224871,0.8137651328527356,0.6506126217058494,0.7813204806897011,0.6318486486609316,0.7414720655042287,1.0524536496472834,0.7179471630569267,0.9379274986784206,0.6638708065732697,1.0830342728686464,0.6944238785485263,0.6919688290127327,0.7815591530218312,0.8325607061965664,0.9127658749053328,0.9389760044971702,1.0342801707577316,1.0787714025734314,1.0234801236858777,0.9327943748704146,0.8563516420983701,0.9507482520806066,0.7400435062235212,0.7946589577164023,0.6892474902018266,0.8101072960611357,0.7409719268093503,0.7626176694412345,0.7616046003184547,0.7472678207827874,0.8351172321153824,0.9267151070125383,0.9987168560312841,1.2375606170970868,1.0819394488766196,1.3388259200969466,1.1653533155644071,1.3713447180907514,1.2381252131627205,1.3632836472533267,1.6341359885377058,1.6572211401638555,1.592303966864974,1.4579715154551611,1.3671134429614125,1.1861483023745254,1.1293216203579577,0.9698065656961468,0.8127111149925756,0.6933026496225783,0.6708430339071018,0.7189544876326927,0.8767759519780783,0.622751342404028,0.602748422139665,0.6424887631469932,0.6245079852977997,0.7021597997283944,0.8594892013718683,0.9657406117724474,1.2708177719227935,1.2385046534379136,1.3856611811950645,1.334543731445371,1.4920799455328437,1.5826363058799677,1.3873201527588892,1.3751626868568188,1.245030267624875,1.1230902677974681,1.2348262051207144,0.9786505444573292,0.7988243936722565,0.7651543342416973,0.8694043791596073,0.9817994485708532,0.7787693854261016,0.7144048755544643,0.7659595507778002,0.7804418371869252,0.8123036704473149,0.913763515854744,1.0534366125685155,1.0713951796488057,1.3189813796917091,1.33460016251887,1.5612181524475868,1.999703174776867,1.469667363066119,1.316458946129108,1.1345902285150111,1.302142291436776,1.0336421245573046,1.1771155979659425,1.0316315349207905,0.8982632231925628,0.8384891307527358,0.9096493120657635,0.9655051164603966,0.9230186735049892,1.0310967287887847,1.1213465588318574,1.1599699350991624,1.0081030852221187,1.0492360507814755,0.9648046365928538,1.0243254006927922,1.069006486168371,1.0355644975611777,1.1047058858885357,1.0493149650973208,1.1127332527869653,1.0666372457656281,1.1739706266678478,1.1171919567105153,1.1869717372998168,1.24352464726624,1.2776745003310495,1.1196310626131052,1.0841416794398875,1.1189758498032525,1.1500739507294608,1.1973209573190597,1.2100465008398835,1.2948102812171893,1.1274910135538514,1.1620377036668224,1.2213056515151908,1.3641910961408044,1.6475017225753052,1.6528734516532253,1.782631182820153,1.8516019281924505,1.8314808482860288,2.0308230641569422,1.9795105503187176,1.8168024301018797,1.9902635883883717,2.1506186553605087,1.97643206600227,1.9526569859167136,2.230249264483231,2.240154510699403,2.076584866601846,2.240473099519946,2.387797350552027,2.181546207205609,2.2500213058649865,2.535463580445181,2.549209813822289,2.7083180718571414,2.7548247461948496,2.5767693761565975,2.674254566804254,2.7552202470572995,2.733863414503817,2.618108738875153,2.477011380147018,2.3701841332455102,2.3937849225132326,2.569840276115732,2.4157043429776244,2.766726088963146,2.408064966734826,2.127032013466825,2.333817301112052,2.1972705150843357,2.0732984064648,2.2355842023509247,2.4354256833011,2.206755722908346,2.0946347517538864,2.039640623134037,2.020944040360577,1.9960336696172698,2.153356402253098,2.0763224680690375,2.2932131659502195,1.9927264896806152,2.02739615592234,2.1756219703728408,2.050351728454177,1.9327344134228037,2.113549332645531,2.1864417613320954,2.1359957576484105,2.1397921885751323,2.3654847764770492,2.3386072343130437,2.2947433517355464,2.417703245359249,2.5228488273589167,2.539699817573449,2.5044078339216327,2.3786962693656006,2.424072828567536,2.5919176721562542,2.4222319092085187,2.4072870217532927,2.506939493703605,2.5197301436205675,2.3360929805589783,2.54743241853609,2.588028788828065,2.4654478453586535,2.3481232260198803,2.610501748205018,2.6460329790530723,2.4882101591116137,2.4386618014475947,2.5755704209560677,2.68159921785112,2.779146534383274,2.4495457776629563,2.2948211645931895,2.0006450044309485,1.9730168684428584,1.9253867551043373,2.062050978522637,1.8435506714966958,1.9922638686535432,1.6673812190958386,1.713353824858792,1.4215145418204984,1.6016973112344584,1.6404300650905463,1.9092414638100503,1.6833145587515237,1.4611217221562744,1.9640033152538225,1.9168571223740123,1.3695686110214709,1.5552455590272416,1.9937499500405924,1.9569873722834126,1.9780706590530626,2.7295051516798394,3.3686483899596613],[1.5973100811705443,1.754440402546282,2.114827563945394,1.6711758468403644,1.7092213523398174,1.7636085339460004,1.4993199981112195,1.5885279513380104,1.417235561181277,1.171439894803553,1.1498659954918706,1.33277032320431,1.153802974110744,0.984722148135008,0.9601195870519883,1.0627031654497947,1.0063542368282432,0.9022839277701029,0.8986302462762558,0.9014533673601393,0.9185487149706109,0.9877902300974886,1.1015196711532345,1.2804268289263647,1.0864007087442975,0.9575107818765658,0.8969196739001521,0.9000124436565307,0.9472184757071206,1.0813868492321934,1.024333241758165,1.162800116233194,1.177662920294504,1.0761111661815423,1.0884498246778007,1.0150365335692857,1.0894151944939576,1.0012511289737183,1.0037925947584103,1.0904348082282491,1.0001111547979036,0.9238477323963918,0.9581204628686963,1.1058180430584958,1.3401215012571932,1.4550364380150345,1.7085860448339043,1.2357821344927535,1.0904418449474942,1.2447294027801254,1.2342832624544757,1.1420748258817979,1.1194252950135217,1.0587263441992727,1.3442996663757971,1.065309019224772,1.053542941561163,1.1346736799630586,1.1016777437763077,1.488495225698517,1.1248612003277023,0.9884493721717215,0.9264626354079523,0.9466425708479933,0.9467514264964415,0.9593846504786966,0.9918866832883455,0.8766578593127,0.9616856474152592,0.9082298601992975,0.8855311662716867,1.1075021940419474,0.9325544405918764,1.1484579987147299,0.9455594201457187,1.3515479787248728,0.9037952995554047,0.924122316084488,0.976028896165243,1.0466225411947998,1.1089932254297714,1.106937607782316,1.2592954652326354,1.2864356986812704,1.1936711617897693,1.1445588893941996,1.0405883587767246,1.1683088102125143,0.9966545456563995,1.0135603499233208,0.9540830062597766,1.1132198542497311,1.0420242524360357,1.0764126887475725,1.0755933009306442,1.076849774749335,1.0841405291444255,1.2360913893496035,1.3374903171938248,1.5524620191809368,1.3996455757511408,1.6074463269944417,1.4501482142350857,1.6009080258807413,1.4427137469459166,1.60169982686605,1.8160840676273375,1.7850265609256253,1.769996888587533,1.672066798745063,1.6151330715096186,1.4780193462362632,1.4532770703574631,1.2779761426383953,1.1024149455481052,0.93580253506681,0.8546510608897413,0.8205818913393826,0.9519841026302304,0.8446403021137449,0.8375780527528998,0.8848240527756963,0.8415679113942934,0.9755152085673479,1.1672487536812288,1.2863645026048827,1.566134114361377,1.5013024438535842,1.6055946991740615,1.528904806421444,1.6446995483912663,1.7195998269680326,1.5208465876577923,1.533580836018069,1.4194315331799952,1.314842118269719,1.4127906171240006,1.1554473321002945,1.0066743267758924,0.9728148383976443,0.9013285615170759,1.0031782473684945,0.869785837966432,0.881849307174404,0.9125173693409251,0.9889645504747727,1.026790241037173,1.1827248482106512,1.3580542920846106,1.389852844497097,1.6388085352895287,1.65324858681561,1.8254238810648524,2.2060436337310416,1.7447958492168691,1.619901011814121,1.4537539566368927,1.59987761742774,1.3519593540776758,1.4571624763956614,1.2887906729880139,1.1388303903348707,1.06801309402925,1.1181055118790524,1.138616232534613,1.07216092465856,1.1533048834469304,1.1582562792250144,1.2346005155542108,1.1529097672738848,1.2097263328901506,1.1442599571365684,1.2170366988514967,1.2984574893669494,1.271673214715573,1.343306873381845,1.3281901403746565,1.3707165589218977,1.2922517379560257,1.4282741464289999,1.3089259434295877,1.4095746995618017,1.4036013903138451,1.416302142993497,1.2698603469884264,1.2247379060663255,1.2122459998346444,1.1740308811951687,1.188390843018401,1.2465660984998503,1.3190941052515532,1.2153267667468461,1.2395160238482612,1.318705869017711,1.4497420714875164,1.6591860370903064,1.713570589257295,1.8321456859715979,1.8962535736030284,1.9621645797976495,2.051069976521727,2.072730674717763,1.965784175531829,2.039657961372192,2.2008411799220147,2.1264792136308395,2.0871340738701543,2.2900948230280536,2.3582838014233287,2.269261288080858,2.3752025310269116,2.497288285633742,2.3827511865511433,2.487159338760784,2.643674550700773,2.6128251736329116,2.732180008641657,2.6002652639264157,2.4921187916641756,2.595648708721638,2.5931086025054317,2.57780839679297,2.339419866650065,2.3091250710248756,2.293348787512821,2.3207489403922748,2.554310080443565,2.3143603612245176,2.6339127900416646,2.261978110086903,1.9870607362470476,2.1129076735374976,1.9679299631756044,1.9107449311859956,2.12545732993638,2.2806921494610712,2.045998298206155,2.1326398641124347,2.011727745285647,2.065946382060936,1.988738309673412,2.1334122550384387,2.1178965771438008,2.373111210831045,2.098073435837791,2.128997622823539,2.2457911435073625,2.1773610991824794,2.097042499007948,2.238451282300128,2.328078972738523,2.330289215033817,2.3156305318650774,2.4672567442888536,2.474591359516304,2.472349669802486,2.5272619453729748,2.586488757231031,2.5646770794875193,2.5062843796562553,2.399110041575341,2.3775431117267027,2.5347385229909336,2.40038625158897,2.3172497818879485,2.3738022294886,2.3958772408511986,2.2253937625894302,2.324929112233542,2.330824481362462,2.2763658567072356,2.173347161904367,2.31122852255703,2.322484341664957,2.22272553482723,2.232336849496813,2.148979537397487,2.240379568585025,2.514502275284599,2.3744112571715603,2.309753383239669,2.178382747542133,2.100701233951274,1.9871827148311458,1.9698886616121876,1.7977194481466852,2.0112494408324455,1.8335165790981878,1.8498874302609143,1.6490102736581638,1.865027652975338,1.8433587034298915,2.0662913166962182,1.9358888425403624,1.7365601703134343,2.1442758162291655,2.1477559110549698,1.7086967016096282,1.8774196484833947,2.259077402450992,2.2245346357844684,2.3110545169711028,2.9260415970073144,3.6119214707656147],[0.7586453671738234,0.8617862101881695,1.225846379599838,0.8955289948491714,0.9725400416444155,1.039650324527188,0.7953861229092877,0.8443601320418294,0.7698042534345455,0.5836244874413361,0.5745553465263149,0.7094073133505558,0.5592017346451631,0.46530842924816823,0.47144506674745446,0.5313834215987208,0.5761586600766639,0.5523352729332605,0.7211071017001599,0.6319885587280393,0.7752353047571751,0.8698108294358792,0.9883535900453458,1.2486376826596282,0.9712323945571775,0.8285801039866719,0.6959542942378084,0.5681142906690125,0.5518943594925352,0.5496940529693954,0.5449871580933705,0.5684716751123522,0.570213228672388,0.5611091644629966,0.5568448988929426,0.5528047106488855,0.5702675120580156,0.6335440508324204,0.6313317570564709,0.7628897197995083,0.821300435483974,0.7798511065325044,0.8499814081068149,1.0753709125448212,1.411503508828029,1.5388801615695877,1.7740321967664583,1.256060556462395,1.0342086751574642,1.2234390685431495,1.1147323533853155,1.0201345822010237,0.9703465965476468,0.8028076659677956,1.0291853069093766,0.8581848860643839,0.8499967478647783,0.9568290199175449,0.8800406993018497,1.3770882447717452,0.9545432240252967,0.7878009849963811,0.6520546957081932,0.8300081687281305,0.8286814414533565,0.726600704096651,0.8518568904145352,0.6090523759531662,0.7669651671546869,0.6288540351135297,0.7360678891676559,0.9823511446753695,0.7205360079592891,0.9936015834879349,0.643912715081276,1.2133152521380093,0.6152199110643869,0.5586219897190687,0.577169637435247,0.6889669452496857,0.6637363279308998,0.7073465611060281,0.7580853574258553,0.7366733742575856,0.7601159515809052,0.6593351132373635,0.6114586914766027,0.710064607274131,0.5963015780190087,0.579644913332026,0.5383911177937852,0.7998911012512494,0.6721743261533714,0.5682444156638317,0.5491588279944678,0.5981201675384549,0.6242334974282322,0.6437777706374002,0.6828096076243951,0.852314964068115,0.6847154352385205,0.8745791682104784,0.7278858712118735,0.8618534269702043,0.8740493036907916,0.8719344660446746,1.0715242712514184,1.0849304655250605,1.0179416151546108,0.9311943582306721,0.8883555041514637,0.7714578281200617,0.7502453043805271,0.6590527724661621,0.5770414739155457,0.5128485581726874,0.5392667658744795,0.6646924742304959,0.8799463806213114,0.524113126919165,0.539125493987849,0.4924081363454029,0.5072942696564934,0.5216506549226156,0.6132374722964379,0.6788546003867195,0.8740671557151184,0.8348145640101339,0.9141279142659262,0.8551663206642941,1.0188980195043384,1.059600281317743,0.9781481278842156,0.923029206598527,0.8887966038713143,0.7872455333164666,0.9424952816644014,0.7412428147890483,0.6364891947105182,0.61321030555026,0.801511791355012,0.9718669183317526,0.7227639563388968,0.6048531002209463,0.6352700125172168,0.5868282737718262,0.5924023240433154,0.611177314232971,0.6981478252063066,0.7032623904293356,0.8807822803675945,0.8898080491334658,1.060312684315747,1.5880837104848537,1.1188936264563585,0.8510443359023296,0.7297075123182787,0.8460142069515532,0.6557791595322181,0.7335045597254664,0.6692640778876444,0.6297556562233496,0.6640571039560526,0.7291007342600846,0.8188932164804001,0.8105989468616706,0.8810924682379186,1.0171572087091545,1.037327547194986,0.9249971088388527,0.8575510540723392,0.7566544739659679,0.7726264482479864,0.7719124726734012,0.7110322028113389,0.7230945837969146,0.7203111684484261,0.7121802679182695,0.7336668996576009,0.7932854823370374,0.8053335374237097,0.7903692125595149,0.8649964681671963,0.9551268822628816,0.8409770894037824,0.8804721627676396,0.9645526920866725,0.997614241303116,1.1212824622437567,1.0702925124531928,1.167744517337456,0.9307067548966436,0.9512663693780224,0.9875612536219257,1.0389091726452697,1.2479357731806502,1.2090987824184622,1.20948056051829,1.2141029309227098,1.2176274824565139,1.2718743393664882,1.2273300576826018,1.1472138148032616,1.2367048597199548,1.3319811024447636,1.2315168761038993,1.2667637845991568,1.4340198973481149,1.4324809799428493,1.3806985881492622,1.5084930890016208,1.6108919553606889,1.494995821882568,1.6217601992760287,1.828186703257714,1.8115026263892042,1.8933977190965228,1.8641417885739957,1.6772800758599338,1.7507707692262688,1.7737646850739348,1.8542862989860174,1.6873182901997819,1.542098378228737,1.5317184229653773,1.5002298822916467,1.7027802652345785,1.5348164552836072,1.8852763533475967,1.5419411866458952,1.3000380016622397,1.4966655423899033,1.4287402823781785,1.3250095150309715,1.583512110958883,1.7529298637419817,1.512098127705863,1.597966639947694,1.3297007875472895,1.3522058215319954,1.2422411703891292,1.325095301664208,1.2829470928822677,1.4696842753761246,1.2108404759768985,1.256948229957992,1.332228247499521,1.2464855533886516,1.1924272351492045,1.31097138958095,1.3778394229306938,1.3829930455953616,1.37889510672973,1.5248397733126293,1.5356898442661462,1.5853039603398478,1.6099031134451731,1.6755784908766476,1.658813316724911,1.5925944611315952,1.484020257797239,1.5020241097489988,1.6501105441410695,1.5239138766671636,1.4898660062702596,1.5738723261163063,1.585262661260928,1.4589451668509472,1.6326504645860411,1.6712378814692896,1.5870056038154312,1.5441437065640542,1.7522088450810587,1.8063872582570208,1.6735693640590286,1.6197387296345156,1.7925518250812293,1.8818756065739355,1.9174166139192164,1.7511902812045717,1.5596400335842653,1.4188450760981188,1.4852157279601725,1.3267135912498202,1.4213958746307973,1.1722991374969973,1.2912804185662767,1.1071041830388337,1.130475642917989,0.9362997600223273,1.0407446414211068,1.0043855007329057,1.1623801851826707,1.0387293836884937,0.9137449744586661,1.260497578002176,1.2176598770839182,0.9698432186897602,1.0095135467309022,1.444731591390122,1.357657800640437,1.261012117355878,1.7714491901112934,2.5316563956499536],[0.8289257473974466,0.8473520236429455,1.0598447204274573,0.716110571611154,0.6957083246236438,0.7240121084078908,0.44697600112549685,0.4767922436731865,0.46627328332155765,0.33835339389291824,0.3797799919021315,0.46010080419974325,0.37896828387082226,0.48953715828762984,0.6278833043466782,0.559074818529457,0.6352912814428857,0.7732849469560448,1.0816858173498638,0.9172101061754764,1.0743232606240154,1.166202973024819,1.2161165466387054,1.573490797659733,1.191253699031017,1.137288118801434,0.9939159240106621,0.8052573673957508,0.7141343383911235,0.554757967756008,0.6442923625683573,0.5061758709337333,0.5003504184600107,0.5816482664053043,0.5808466001009555,0.6564825285171769,0.6168288575444912,0.7865033223423258,0.7925084985267454,0.8906725638169761,1.0663249785910704,1.0907261151679037,1.150698142247349,1.3833682571161487,1.7162425473422518,1.8209590550935673,2.0121618113464015,1.5815385640687099,1.3130104292276472,1.5067588054699987,1.3168711804937903,1.2528505106145926,1.1801527936375265,0.9943912098068376,1.1258324544420213,1.0538383256013706,1.065984345468939,1.156960311629174,1.0723783663473183,1.5498579130073422,1.1738810665170838,1.0342974186557976,0.9021155906500635,1.101473530231368,1.1074615604390998,0.9593437145762891,1.0818000820241853,0.9204989892272524,1.073548786705125,0.9223494456599577,1.0898592510086011,1.3353739880940014,1.072471969429477,1.2992048165681418,0.8742526675734035,1.565833617012181,0.9053623863545796,0.8061091765975029,0.7393068452236559,0.8270436263618248,0.6982855855687351,0.7939046821138847,0.7125918632288123,0.5882924100000626,0.7854153075649063,0.6784353110256598,0.7243837288719921,0.7811770229897269,0.7369517032925986,0.7569749784921628,0.7245329162971818,1.0187507450845654,0.8327240525699217,0.6291303944654992,0.5752838654673917,0.6358109292266269,0.6061581593332482,0.4905422472843147,0.4127350109813758,0.5584445135452316,0.40401185900623077,0.6121560006722576,0.4268112658292228,0.5437103274351324,0.7493973127381619,0.5825843852900412,0.7369957303325682,0.758288830305482,0.7062422205962875,0.6562234906133988,0.6253170057049781,0.49372849030823734,0.3928712908783765,0.45030992694174865,0.4888453562927939,0.6388150336264555,0.794482378002906,1.0352279835098568,1.267107825915009,0.8179354698582281,0.8174306762285939,0.6326495399489143,0.692009226936134,0.5036925075490332,0.3713512582306175,0.46934731164807625,0.5161413646757873,0.5225808452094212,0.6110829549975109,0.6137567829646072,0.7378151052627457,0.7735659191864379,0.7855087123915547,0.7026297289547014,0.7229414914239282,0.664318158598075,0.8019363604799447,0.7508295468014208,0.7152149617442471,0.7124656484019184,1.1199067746017952,1.3213054959093251,1.087971283416731,0.8457937121189283,0.8394724794376448,0.7088249185009925,0.6526010429403156,0.5143317571034354,0.4169672199547244,0.4035450901685784,0.544285878446977,0.5580267620117901,0.8022922542471442,1.4381189635438458,0.9458036371284186,0.4946113372637654,0.3684838230221996,0.46939614255310014,0.3787880378332724,0.4440953442059255,0.5171932942290902,0.6219032950201696,0.7551465629640078,0.7830320897632659,0.8845638665718506,0.9066817346467113,0.9328736550999671,1.1185028211870225,1.0798591431428288,0.9979052758196927,0.8462650871237093,0.7805445916551014,0.7466239527549511,0.676662565853186,0.610236707999717,0.5503318085210588,0.554297504186944,0.5733196336255186,0.6222292041239513,0.5883895651514565,0.746611160649211,0.6179741791915481,0.7278262624593143,0.8405724284311941,0.7925877999686194,0.9138239975974367,1.0622178844410446,1.1036068881227208,1.3718001365653683,1.1688576427355877,1.2468023075040657,0.9394346714508781,0.9512386122589873,0.9458953069567866,0.9242240786089367,1.1038461929078132,0.9914125718813436,0.9069408330238086,0.9006278532807692,0.9090587875459251,0.9453783610215513,0.8880651420224733,0.8166037865819805,0.9297112722314792,1.037122156691588,0.9470260138302363,0.9983802350572382,1.1905588180369373,1.2057747001094512,1.163221762818468,1.3136454387684795,1.4665092931438837,1.3819027965717565,1.5009488683075143,1.7248591487662293,1.6485650067782278,1.8155502631414706,1.717501738517112,1.5017811024800154,1.6217519902045583,1.6549551992554286,1.8274289752751967,1.5439700476883869,1.4057989539592854,1.3721153684220146,1.283090925614098,1.4545671829350888,1.2743144460969889,1.664001173333024,1.250375773864151,1.036578992714824,1.2645846348466945,1.2338360791978038,1.0664821682199248,1.305741963308771,1.554564659606585,1.3157761790529934,1.3731104317614917,1.0390514947546867,1.018512447651375,0.9190714489971321,1.0064790340323075,0.9819265494416646,1.2024687622217745,0.914772718533476,0.9369413729243379,1.045223970675849,0.9736111282831951,0.8916571955137622,1.030298947351652,1.1398871913773168,1.1501688401727064,1.1531257715382681,1.3316482430805476,1.3843892235889494,1.4515674076867644,1.4852193341571533,1.5771896623801729,1.5176461882144339,1.415867434075432,1.2407183038763017,1.2839264231583911,1.483937027914048,1.297173264038778,1.229633697891433,1.3832686970584889,1.3981851258257376,1.2169716809905273,1.4191859690593442,1.5244778154089391,1.3899632728795182,1.340264639596482,1.5659352125477228,1.6521012314692627,1.509687727088036,1.4240341975501813,1.6426840542496843,1.7005546238127285,1.7997885442178214,1.5291379512420062,1.321183789640391,1.193768701249453,1.207196337580939,1.0385708848472501,1.1623459907256801,0.9064392757861539,1.0228106239645083,0.8476212896748294,0.8149477122236799,0.6462240958735367,0.7556013328468038,0.6900642885452297,0.8040045793957672,0.7534050093344458,0.7056290287706325,0.9173762321196529,0.9510804197334194,0.8725732356561677,0.7639780179810802,1.2812814665976433,1.1283710953520787,1.2551698716730386,1.6634848903328692,2.389975404967184],[0.9148666358330129,0.891940502502109,1.0797340103343875,0.6917126089948459,0.6437698403979679,0.7025675914283057,0.4622004868169755,0.4649383677998802,0.516290285907227,0.5319426643631946,0.5783927665274599,0.5643895444406926,0.6167657474885442,0.7514339349655618,0.9021933568098044,0.8218330044676028,0.9149323031767125,1.0994909405033846,1.4504916430245556,1.278917053005574,1.4756134083858554,1.5508723450289383,1.6400905077395946,1.994497949122753,1.568490191829774,1.5290274832051316,1.3393783278889257,1.1405255414336097,1.0276255684948632,0.8234790920763911,0.9511528286191618,0.7509062646310815,0.7608562309628057,0.8915516635172004,0.8743046496609306,0.9755185703553588,0.8818865647417043,1.1089745784770537,1.076359591730101,1.1565136389451893,1.3483899644224033,1.420190609527227,1.4934527804277191,1.6801540014272927,2.0049631248972917,2.0743350731058303,2.245473197167283,1.8657943327447752,1.594834152710582,1.7826499311117137,1.5788872801706602,1.5059091142586776,1.4636812385165487,1.2453814868301858,1.2748021685752895,1.3561506923166367,1.3729538351630335,1.449138566992936,1.3897127172256862,1.8104927379561901,1.5121789890130897,1.414052829142108,1.2832133431129273,1.5113354907076864,1.5025504782900727,1.321829855439344,1.464428471910666,1.2917076655291602,1.4410841651221329,1.2756124295407751,1.4510319083402357,1.6857033743850927,1.4417311778830288,1.6445308060624284,1.2623062841215462,1.864625009870901,1.286608316444847,1.176678426283543,1.0969685835488838,1.1455156325028206,1.0027673822785617,1.0756515418636443,0.9015174451396264,0.7615772972649063,0.9778389380088325,0.9124056173701899,1.0362246860018733,1.0549132176355405,1.0789556013568233,1.0722392804556353,1.0719451714230646,1.3480760483886574,1.1531524982685217,0.9111631259720316,0.8511444481576314,0.9036102394155588,0.8447948283958001,0.7029216478793213,0.5690226522502494,0.6092035048340049,0.5507118021856018,0.6646799407665046,0.5220601989999999,0.5607843826085406,0.8560179020910313,0.5658533855329774,0.6853284407696087,0.7229834768545459,0.670161163963183,0.6288173577025405,0.6022575675395626,0.5136153684693352,0.4529990589557384,0.5646966748700349,0.7017264924638942,0.8906594492003984,1.1007013123940586,1.3748062495272766,1.6282298194951212,1.1744070459339235,1.160236643555545,0.9443164786134587,0.9924396505148206,0.7407113957851411,0.5332042003821228,0.5442265453872797,0.5063595168425066,0.5171230382062588,0.5790047914218185,0.6156434487210513,0.7145300807979367,0.7382948651052077,0.7825649127504202,0.706118771201488,0.7476193507918788,0.73450119084593,0.7959174988208774,0.8542407805905625,0.8938057479619882,0.928338630516645,1.43983523443737,1.6985837689518846,1.4368480116502347,1.1530588624011027,1.1371581700166016,0.9837798225691623,0.89812884758396,0.7130178290723382,0.5346050555273235,0.49358775648097364,0.5395622234166735,0.537670115127368,0.7802005537635222,1.4307682791573608,0.9869877049386335,0.493831114390069,0.4648306500071915,0.4856634559125267,0.519910966755022,0.5007080676040108,0.650349497757884,0.834743430614763,0.9573199647556363,0.9903886101405533,1.0529832425296335,1.064536877835494,1.0841141314200473,1.2812406789326474,1.1703074445241308,1.1201340919983398,0.9389375609427474,0.9061156681809456,0.8780082335359354,0.7948299693609876,0.7470199232836887,0.6727597445042037,0.705188440949848,0.685271665736201,0.7818902465339812,0.679205331649153,0.8726046869121968,0.6838778003663167,0.8099196586706677,0.9367636457925136,0.914794907482335,1.0862124326293487,1.2943665707134475,1.341412326906567,1.6340103820082164,1.3639078789914019,1.412521174719994,1.1038571312474745,1.0789114240482043,1.027251837449393,0.9537998835549132,1.1116148443884983,0.9847023659970358,0.8969041422613631,0.9120905449500231,0.8775944197185352,0.9880020473456074,0.9055759139477817,0.800869873858317,0.9727948974367899,1.1157982204670676,0.9745312196963956,1.038394243131015,1.3067564795334028,1.3124877179351746,1.2365400979936145,1.4439150300750478,1.6310335082183005,1.4804701447785082,1.6127276209958095,1.93327322706024,1.8542685685140372,2.0641678346340933,1.9970717752762892,1.7316282460176056,1.8775247156581407,1.928250550134793,2.099662042840548,1.8028738530719028,1.5970363423262277,1.5254997287807412,1.446085511662722,1.5588418926921446,1.4068344298827649,1.831864071620479,1.3895521157000543,1.1490721928099312,1.4184625200573149,1.3542406108882505,1.1704932667833812,1.3833456189872402,1.6671439997043844,1.416014728322674,1.3880317370350321,1.095539956624568,1.0287892811135948,0.9586933610189572,1.064798926513223,0.9866076655281251,1.2408224964424166,0.9066255732441063,0.9386470913888956,1.1055814386632183,0.9892134487676189,0.8832292734714968,1.0717150307888625,1.2016280080726311,1.1884529957477892,1.2112898055411192,1.4481635766135101,1.4948041705362196,1.5479617332536715,1.6313305091502037,1.7514483756378822,1.6996631658061367,1.5890349417367782,1.3683793353966611,1.4500170726557455,1.6945905530900296,1.458629425783732,1.3824538759770482,1.5906163226292593,1.6072844573803744,1.359616400205799,1.6072292175431315,1.7568155089100475,1.5718995230363393,1.4665981243146813,1.787783873507449,1.9107970973513828,1.7113104728782338,1.603809180682424,1.9017421715174385,1.9410214070743712,2.077203803194666,1.7288382961788507,1.4760733681563367,1.282594718786057,1.3224539500391972,1.1230808006686066,1.271783724977222,0.9625191684956292,1.072468432437212,0.8245775746797884,0.7886703758407312,0.6026902471131738,0.7318526190613963,0.6588286090976627,0.7995434110358585,0.7076906795286545,0.6772109193479995,0.9435507570392557,0.9655733250122631,0.879368535215047,0.7731650071808446,1.3144714854082078,1.1722702950776103,1.28948274662093,1.7093053755998746,2.4209815541099817],[0.7354943099108178,0.676402937644867,0.8629038776010134,0.5938206949851118,0.5856429615968888,0.6687141789638618,0.6317456748832377,0.621564968213359,0.7420880064570946,0.8982719751098279,0.9418354981237912,0.8976854222082373,1.0192527644109712,1.1323430014451097,1.29907997822748,1.25382880070329,1.3345422170206147,1.5293924351850579,1.8479594555446586,1.7046740906460787,1.8962416313957045,1.9698326330294595,2.036900511987117,2.3825547152263993,1.9640359766026783,1.9267342764833912,1.7566795738284724,1.5643677984419793,1.463956804928811,1.272975572587887,1.397501268112435,1.1858962292432484,1.2026283990270716,1.368876350095323,1.3421857744001602,1.4382364213080912,1.343178280029313,1.5707223943484234,1.5244825103771222,1.6038306295386036,1.7745460102877801,1.8437045892698867,1.9383051739588417,2.082409537747917,2.3716150576059176,2.40093580165458,2.5623924105317073,2.2534287765406216,1.9819027897750727,2.163577305135736,1.9761950522485048,1.9172633794569764,1.9018359091786055,1.6769031869151494,1.6752230122909266,1.8249232019577997,1.829926426601941,1.8998450589295528,1.8346269994597666,2.188527927436717,1.9480750499258648,1.859826072027126,1.740440723395695,1.9371174561433502,1.9345522731386435,1.780838175727102,1.8826531220314937,1.7189997813977504,1.8280590165065895,1.6839043202352575,1.823815056924371,2.0394156182618564,1.8384728518964693,2.0325858847165086,1.6842351352882796,2.254623438101192,1.7407564652496759,1.6475246953971343,1.5728010815164843,1.6205639494833155,1.4800429969211304,1.5360557940747401,1.3535684376467991,1.1968618363004113,1.408648225569534,1.382626563172605,1.5024313520986796,1.4918520650521656,1.5427324495331773,1.5389209191762463,1.5267766913834553,1.7726708445213137,1.5916497956845308,1.3643487360359796,1.2847674708008687,1.3172475999988262,1.2278546755471345,1.0923001063429565,0.954115949516764,0.9028966916136141,0.9484324602860317,0.9059417640758922,0.9412115048542344,0.8356475635012668,1.172105962252619,0.8454287204382749,0.8182877044305287,0.8037005296688938,0.7467943690206583,0.8226991604515358,0.8053232255822044,0.8113181296792777,0.7661448570534625,0.9202632195322973,1.092852655174384,1.2713654606061957,1.4922987671803014,1.7435119393919676,2.004367865656393,1.5904643146061175,1.5568380697495245,1.3484034878389837,1.3560343234529135,1.1130034103903899,0.8834452218425634,0.8545325555508592,0.7009928739290705,0.7693422180076448,0.7537946457614759,0.86702057537078,0.8479092592565997,0.8435753005135623,0.9932215783753086,0.9729322726777331,1.0189566403995347,1.0251405046603463,1.006914159852592,1.1436686553828808,1.2253990828609247,1.2979558114835004,1.7747963807339504,2.0865104292040026,1.8225248551447362,1.5516625433984423,1.5404779624431226,1.4140789713373167,1.3144854872270604,1.1301162717232627,0.9329536673215207,0.8438376233801047,0.7229476426378827,0.6786283728615796,0.8250469982201759,1.3797426727655706,1.1404760208366036,0.7439482058082031,0.8326803303120084,0.7554990124447052,0.9333757743272021,0.8735041279890152,1.0364154389276266,1.2705503538523795,1.361986142069715,1.4057340501430853,1.4288537979633489,1.3963536056607229,1.3983935256941056,1.5590997889346494,1.410279937855917,1.3848712517991015,1.2205825118457412,1.2353902488391477,1.2370973330977642,1.1724678208636699,1.1627829823096754,1.0873582470952505,1.1342712904332604,1.1151061272215368,1.2123584187083813,1.0816303415442179,1.2494796711360836,1.0380819591919002,1.144886610394424,1.2617270614793994,1.2680749243916671,1.4609752968786525,1.6873544728057244,1.741612618317948,1.9881858477256937,1.7116912017133168,1.7264640453493547,1.4530031342781837,1.3812703611892894,1.2920549825190006,1.1769882430751817,1.2712234529201005,1.0774691919856787,0.9074180897094566,0.8630265154418185,0.824248436468514,0.8469477941903187,0.7392559271160009,0.6935197985779634,0.8096050474991109,0.889732596380208,0.7641467294660939,0.8573030591068165,1.077657826263301,1.0443671529247223,1.0106393322199214,1.2240712311559787,1.3782966422677374,1.2217433065608942,1.3760659606029775,1.7198922990438479,1.6777741247337152,1.8348949670804888,1.8519226862361946,1.533640433108242,1.646217980046342,1.7114634062234486,1.9206479682900064,1.6636411418274464,1.39954541524867,1.357180799284249,1.2133634935667004,1.3045178743558643,1.2110992660862345,1.660189984669437,1.237371751045682,1.0234253988579705,1.3016688741464626,1.2672095845718458,1.0940159903836475,1.3500055847486454,1.607126084805297,1.3746481849521692,1.3441478346136384,0.9942919666931682,0.9719132764229165,0.8691903894444798,0.8976538398572557,0.8399278134548763,1.0103072006157423,0.8010689154215633,0.7802742401792646,0.8695862383477706,0.7747282132193057,0.7298168282937443,0.8122036097460498,0.9046410733231547,0.926154187354217,0.9437683116291748,1.1394487036066534,1.1756012673580065,1.2535513692874007,1.333390796232483,1.4375205932943504,1.4014339021676885,1.287159465104916,1.079811237370006,1.175763261141311,1.4183103432376971,1.2005174962246672,1.1531805070559407,1.371245420456164,1.393062593458901,1.172588965032386,1.453246832674193,1.6194963966601372,1.43793708473009,1.3556703443240137,1.6970535376023057,1.8416066068691108,1.629321524394292,1.5182679759639932,1.92416066367338,2.0022328623190124,2.00748388669617,1.668968533783227,1.348144432586864,1.1518631713124097,1.2982212665106498,1.0811452254750746,1.2656246453681013,0.9121558220095805,0.95177054142083,0.7380987286833166,0.7584534862003367,0.6821920360481377,0.6607317407231788,0.6621217211732588,0.6756705839513805,0.6892941457048084,0.7686609328105138,0.7722151782517911,0.8405012595445,1.0468864486232579,0.6765920671394617,1.1922832643973278,1.038434118828536,1.2811674039868053,1.526820261037683,2.141499688888221],[0.8501724464647147,0.7963189721096833,0.8920628092509838,0.7508880376524809,0.8342454673581723,0.8394053256789233,0.9400333138320909,0.9402643203838496,1.0122635228825971,1.2118257245556054,1.2680661977656098,1.1898728292335663,1.3621123753014888,1.4868174952289845,1.6604237229368575,1.6169639752032245,1.6755736821276142,1.8764730495846442,2.189598061460462,2.040900647032806,2.200789110064807,2.253538497171721,2.354628248738419,2.661096074339719,2.2382537458761806,2.213218087013329,2.0607273069327046,1.8891474734568472,1.807557517334849,1.6304216986298654,1.7529747369367945,1.557246059544456,1.5817926484621314,1.7322162186674173,1.7054781401036763,1.7999948656416378,1.7030385248339972,1.8977331355051696,1.836539803034171,1.9061430021763,2.055346193675268,2.1458896932822196,2.2324337775016985,2.356236897771609,2.616176871406806,2.604137159840515,2.766458627613162,2.518929176499156,2.242079769936474,2.4132232921674825,2.2310635970336787,2.191653929712775,2.184095619827003,1.9658604843869933,1.9743263193923424,2.1144089446953718,2.112858424319865,2.19840428378724,2.1485574622954973,2.4307080841853415,2.2301502585658093,2.1671406897558447,2.0754816126519025,2.245993151737031,2.2399300486330516,2.0901820487949245,2.176317156423422,2.0681105567923863,2.164866929188095,2.038171364543717,2.1615259727462655,2.36486621708813,2.1922693181893167,2.37304117778178,2.0501789946946287,2.6059871008503928,2.103070755371657,2.006787397772463,1.9226999592590732,1.9549219349103364,1.8165551384066532,1.864342647295428,1.6760609831339097,1.5121834945811679,1.7244344232135926,1.7163096298185478,1.8288315985697008,1.8463031915271666,1.9029298616018941,1.8967786982015,1.8947813857718878,2.1011631658758123,1.9294036830596017,1.7226676486654373,1.635151998640549,1.654638323677625,1.5632715516566498,1.4366480601982314,1.2974336240576199,1.2391809212827947,1.3128783420963068,1.241707610046307,1.2856633687078773,1.1509588691163104,1.4355841255960702,1.1465499336586382,1.0727081548543655,1.0480070324951274,1.0272072201721012,1.133364338991147,1.1231934470809861,1.1594664114964228,1.1086640280147375,1.2550087565116153,1.4072029826018513,1.5792667403508145,1.8077286586940364,2.0380467964201747,2.3028582981997383,1.9192310273446815,1.8716628155391952,1.6778090149373044,1.670816403496257,1.4171071691462886,1.1898628394500206,1.1677447559766205,0.9735105873655353,1.069086699135274,1.028759381513086,1.1691310716051126,1.0738155975421602,1.0720051841097422,1.2366666480920032,1.2439250966184554,1.279418483916474,1.3068935976850942,1.2340297020257511,1.4191396667976737,1.4888934742188147,1.5541509475312378,1.9881849794432107,2.3095917329634505,2.11748316730287,1.8363335330645292,1.8276307200558772,1.7274558402720237,1.6193760509227781,1.4639664254187117,1.2675805016689194,1.1810747685300724,1.0398169949637914,0.9770791267145856,1.0559918001610369,1.4851385051764627,1.376600902366871,1.0636604822229796,1.1574441392332613,1.084730592611567,1.281444163451587,1.2142132467005375,1.3644410657585457,1.5983259489868282,1.6550667574072637,1.6960636370985545,1.6786602942437945,1.607031150539229,1.6028358142059664,1.7171671209823796,1.5799908783582415,1.5813682805346185,1.452731425267017,1.50232229959304,1.5195252972253044,1.4764353015890623,1.4858730811399465,1.421356388298807,1.4673641982906234,1.4581221533308864,1.5420534548906106,1.4110315612062814,1.549743583738116,1.3471246016918863,1.41443295535158,1.4850860802579775,1.510237034460672,1.71447660359102,1.9604906225902765,1.9701752481870167,2.2191629040964176,1.9142529833228141,1.8883560136191508,1.642518957127823,1.5636635794001592,1.4858032406294626,1.3776088784846034,1.432756651001493,1.2455570597369046,1.0522718248978853,0.9706774696534457,0.9755705409473959,0.9016679648959884,0.8511230224999344,0.8700132736526384,0.8609546834004247,0.8893438082655252,0.823819660431023,0.8775863534466914,1.0086839179549403,0.9505700125060143,0.9339451148442597,1.1010373795625015,1.2355639333998505,1.112323823827506,1.2371718104518163,1.558431414005155,1.524321659851139,1.6636968891777197,1.7020880232529398,1.394414324114024,1.4938764458005562,1.5670388272790197,1.8350563263675417,1.5275467104960159,1.3716691778957921,1.267806533998737,1.1312826010278758,1.2766706688273615,1.1799856543943987,1.5755002446557322,1.1651899810250455,1.0767816645432153,1.265630075824117,1.2577291064060794,1.1119528223272264,1.3145275396448552,1.5868494461632041,1.3678231099388356,1.3675010956855709,1.024283488441714,1.0794089809866605,0.9702902696577578,0.9558504245280245,0.9506336076489678,1.0252196007955736,0.9635809687313047,0.8968648919950107,0.8753835505115296,0.896330673375623,0.8955883603142158,0.8610282111092611,0.9082440655122014,0.9460430335417349,0.9201289885052427,1.047215550071417,1.0863499916100303,1.1633472579743573,1.2169249938703082,1.3211123794231416,1.278471579227392,1.1748135434848181,0.9850212989731404,1.0778376852739677,1.2932893762689721,1.0964708471437041,1.0649446824132038,1.2546949720163647,1.2725890651188039,1.1008490016673635,1.3560543928187947,1.5137852013961832,1.3494046801828279,1.3200377856205254,1.5969052360370979,1.7368318870033372,1.5384363818525288,1.4316288373839605,1.8348576915770143,1.8986072915223873,1.896710969211104,1.5456274724728483,1.2429049945848591,1.0731665810096378,1.2041683302672257,1.0442363445447502,1.21045378794841,0.9261208547207775,0.9620732050864877,0.9042712471567182,0.9318604168592025,0.9431684579403699,0.838865494038738,0.943423046436296,0.8725329072923723,0.9696115760055141,1.1319797204044613,0.888263655339132,1.0984457377795112,1.4338817851214285,0.9111159497187914,1.281012267315478,1.1801481751173908,1.7837479182747742,1.9872907533441737,2.3587607682144482],[0.8664231730347235,0.7700466903837799,0.8213105578308662,0.690999392134987,0.7265331674671017,0.8033015201972559,0.929879275594786,0.9617630907118183,1.0715737589091212,1.2992012799608927,1.379967694143393,1.330335527727485,1.4685616272794912,1.597190392235786,1.8327685354771626,1.7702399617393942,1.8079246751622604,2.0575728010040417,2.389467322857854,2.232493811764262,2.430471226001461,2.4802816963584555,2.5858342665439666,2.925629621040611,2.438893806041892,2.392897663555924,2.2111552716227303,2.0272169073811592,1.9588553245075537,1.7671275435028244,1.9605686768906716,1.7184360745880138,1.7775407675905226,1.9504514169079938,1.885475201239085,1.9745411164119444,1.8441534522066496,2.060484346652222,1.983445034507516,2.0497882538036682,2.204151259052588,2.3343009188740407,2.435202308716873,2.5294724812215033,2.8373622691025266,2.792333812359738,3.0262469337814575,2.7160676194016165,2.385597901830945,2.578349763427351,2.4301116884113796,2.3546148264036084,2.3944089456923234,2.1349731169400794,2.153244545383134,2.334656507418356,2.3332128299716786,2.4113469770523435,2.3660141223395375,2.6593367183493357,2.4530411281083278,2.427811395312392,2.3332600982245877,2.5323471629576306,2.5098169878441574,2.332795614031271,2.425477463848626,2.308828413971411,2.418478348297924,2.2817880556929744,2.398547619247559,2.631044555523277,2.4651776769726474,2.655709213046733,2.3108579997043646,2.866315814888297,2.3489125426641704,2.257194395781387,2.147778599679143,2.170640176385242,2.0048928167428595,2.008281673667937,1.806896081133309,1.6491206361080528,1.8287717026230683,1.8484683587534982,1.9882162635780247,2.0054054299286856,2.104982840045264,2.108340753619183,2.1470719290340465,2.39236176318321,2.2163561538827756,1.9814856454369107,1.8607907661756933,1.9048677642377354,1.7777788803264616,1.6217347595639449,1.4511346595099142,1.342634874353922,1.4432447199873357,1.2861074946935542,1.392706752209499,1.1878803910537368,1.4623497153669067,1.1510613174102005,1.0347088080059301,1.0126846103315992,0.9512835885953018,1.0727788553120532,1.0472243829434975,1.1327662553590716,1.1070643274405043,1.2714125516454946,1.4601483029966762,1.6238027972128333,1.8953967068530895,2.1334486902300926,2.4672041117887944,2.097187166203556,2.0257596525949357,1.7900814782271834,1.721690434429902,1.4375671704311157,1.1959819838396457,1.1484289704857313,0.9364422557268157,1.0105887833054599,0.9698199090362148,1.1342024859226525,1.0275094797620963,1.0381164324471426,1.2199970939465727,1.2420156013049013,1.2607948648131024,1.2710710780084644,1.2028388278288062,1.3832393809592873,1.489986821619573,1.5983517697586562,2.021467270459334,2.4438726302556875,2.260278693815895,1.941120562851938,1.9419320784589083,1.839422593316308,1.6982545679702699,1.5426456008108427,1.3118594958617764,1.225641048500556,1.0429339668126727,1.0320858984112598,1.0926516014868377,1.571046614386451,1.5010899601182066,1.170698727698673,1.2603355023296243,1.131328668391246,1.372787377840496,1.2508043756829041,1.394202813916199,1.680206503469027,1.7118689923668862,1.7854271219105227,1.7527777706963013,1.6752599454201733,1.6243439007851752,1.7420270824729138,1.5698650174983315,1.5596826999044793,1.443477212334012,1.5120350185847238,1.5544294105625682,1.5234811146491876,1.5524134071112465,1.4807151829790675,1.5727899348030472,1.5660988188468299,1.641028508752243,1.493845229968538,1.613755760185271,1.3674351409742669,1.429048323370685,1.5170316771777272,1.5536508235155797,1.800624990922132,2.0625263333539725,2.1003692585511544,2.351181175251429,2.0313612512770796,2.0207504986331055,1.7135270388555173,1.6007381673854832,1.5083683167339834,1.4086139883217372,1.4679389943659218,1.2468594467229857,1.0656893851042306,0.9608603407853912,0.9031482580118316,0.8662028339470111,0.7792750755440702,0.7873152457580367,0.8274653613137551,0.8589731260783083,0.7723915541581707,0.8550783263682188,1.0149350214907285,0.9284838983355455,0.9051216186058448,1.1077188802291682,1.243024489162159,1.084629298027367,1.2140218940370395,1.579383516584277,1.5524728740573417,1.7074399756081673,1.7958467573753485,1.460650129723155,1.563173146522317,1.6572957786313713,1.901602290524239,1.6531219468513543,1.384451141787216,1.3977867974467906,1.1835437643725266,1.2011869919409346,1.1676078975576218,1.5845748238866497,1.1935269416450052,1.074311728632218,1.3500815080670077,1.317717793404044,1.1291969256215144,1.3619671428783457,1.663339064452723,1.417501338342395,1.3874688095994423,1.0311755211162243,1.0839750205887644,0.9558108129036036,0.9196544671429298,0.8972419617887792,0.9286604945545953,0.9063650916295911,0.837416478586204,0.8138995713782203,0.8166078581394681,0.8091457856638767,0.7870485934127507,0.839163554599936,0.8730467693697551,0.8641491080207763,1.0132107812251128,1.0431397226713996,1.1038954003564936,1.2018086355246451,1.3119217753571415,1.282807387127241,1.1697225689554354,0.969613539097097,1.1052291427692644,1.3283935783653222,1.1191027635061521,1.082371103726251,1.3197814223914714,1.3374510226675105,1.1385440437403325,1.429069822884513,1.60915080225867,1.435923593283588,1.39784473973089,1.7293698198697562,1.8767332955460443,1.664031018768382,1.537157684909631,2.015108330272834,2.0454078600752026,1.9983640274459018,1.620564858982548,1.2913234559758084,1.0939517441988127,1.271939448014834,1.0992673966663864,1.2945776745795263,0.9952898694058218,0.9771096660683334,0.8328026512722718,0.8625948032192481,0.852340503277081,0.7425130624365065,0.8559878066849972,0.7814649589056232,0.9885094658408327,1.0852871807097435,0.8133330920828767,1.0860371749654418,1.4753479865214416,0.8792348712658133,1.2901414694414364,1.2346327884399475,1.8814497833705965,2.044546818355966,2.314734836601855],[1.0250087091473687,0.9405660614594482,0.9601594912755299,0.9072748964881241,0.9953719654663911,1.0397210451522716,1.1768109188969158,1.2104292795315827,1.2660561001461073,1.486793634544165,1.5456473754029563,1.4872296580744513,1.6587840128453302,1.7663348236737741,1.9657027163209972,1.9304225030404714,1.9632294191082502,2.1822258554911915,2.477749789189989,2.3434937889340963,2.492500408507388,2.5308904451807765,2.6261094291765503,2.9536998199697595,2.496790715003381,2.4800992265017494,2.32554358917402,2.162608541050158,2.104504233086894,1.9341409767700974,2.079712872415005,1.8848775996975837,1.929426492236662,2.069619635406186,2.030798161713938,2.114575125520411,2.0145927307558615,2.1883646569308226,2.115496828561248,2.1671514474849767,2.294325679022536,2.4121352978918162,2.485653772159349,2.5714019428617965,2.7876751305183016,2.7418137416432495,2.878398755274641,2.7110095369994247,2.440592989175436,2.5814768297147515,2.4321365155985735,2.4007912363437907,2.414270931384375,2.20735127084696,2.220410228477175,2.3759167438899076,2.370977296438263,2.4466860376714417,2.4157122478444273,2.660874023757561,2.4879405808977397,2.457961360914187,2.3953583381831582,2.552996944147493,2.5295909673631067,2.3851963055340963,2.4757783221385643,2.3797086801956344,2.464242938285162,2.3491277266471564,2.4508313863395914,2.638894989876988,2.5011554767850517,2.6710476300645176,2.3764790584402,2.9051919291866626,2.417797667211996,2.3363226099849284,2.2511728773287873,2.265825316637377,2.1274230353480412,2.154881663601199,1.9546384315358787,1.8086770265248766,1.986401845572786,2.0025979799557545,2.1318649926637554,2.1670730979915387,2.2216859787630723,2.2309668654120416,2.229508137045393,2.440334248435694,2.277204587714137,2.07743531201747,1.9788898911744295,1.9961612344154211,1.881567885235449,1.767430558415568,1.6233675968591936,1.5476237413576062,1.643202690992531,1.5398280473347212,1.6048034238074493,1.4346121807143224,1.6537769495694792,1.4035999448853513,1.2818025622557785,1.2287694325802716,1.20528009967969,1.3553796248040066,1.3168096098540463,1.3981975455102884,1.3680362941121469,1.5074750865094755,1.663681642502247,1.8180329114831273,2.057056120995042,2.265205990211372,2.548518956330031,2.2062413175877555,2.1458863127400796,1.9508780134940193,1.9101966637123444,1.64375008215152,1.4150805638004957,1.3839835826494205,1.1896358922784924,1.2628319263585992,1.2113159770081456,1.3713023123977288,1.211310824224545,1.2103394506027492,1.365519689466649,1.4323114084914932,1.437437781406578,1.4790831469100265,1.3716049379134094,1.5855964792452697,1.668654051628896,1.7608682882467066,2.129050552678227,2.5097999978857897,2.368266284896398,2.0752649922685626,2.067229848569221,1.9996314730796965,1.8748366018139464,1.7438742807619565,1.5422419829265304,1.464244812317431,1.3031821631464964,1.2741327419184079,1.3337249480433355,1.6795276388038907,1.6786404420375602,1.391185483675333,1.4660976859434525,1.3778171429984203,1.583055230512603,1.490660130035643,1.611554986110518,1.8715437231562357,1.8775540642616078,1.9297453146785883,1.8646223135756388,1.7466800420716775,1.7212243191424115,1.7922795741138173,1.6418951923063827,1.6677796756981873,1.576710688143207,1.6705813080283975,1.7169496218489275,1.6995644778011199,1.7405809502445528,1.6815596122923178,1.7640594228992497,1.7658556584172331,1.8207927469597003,1.6825810511357644,1.7766520945086544,1.5755302298998162,1.6145833094790818,1.6681623150819158,1.6863970453306627,1.915898009226,2.1757832403282005,2.147950126158891,2.376695802210891,2.058406147485696,2.0005881441237086,1.7878639478732536,1.6650239012352033,1.5839369450133418,1.4829229119152798,1.5058583607926574,1.32525953535051,1.1347457896691338,1.0394132419986135,1.090416929804095,0.9760388255770416,0.9742536519729598,1.0073032529139765,0.9460932936579188,0.9450192837932918,0.9371880699071052,0.9691169897455102,1.0333727843637217,0.9777001483495658,0.9990966813387604,1.1270200774206132,1.221373403372617,1.1238779220104524,1.2370181315213598,1.5179433967100124,1.5028011158861452,1.5939340760266532,1.6464574840964439,1.34129278784414,1.4156139018023248,1.4382972730367072,1.7214943717615836,1.4335178021497772,1.3473594742391126,1.2232273714647668,1.0805436333150997,1.227830252419297,1.1644843728186463,1.462001862899648,1.1256114556127872,1.1117003483079655,1.232811336353804,1.2395823796404126,1.1193392225843881,1.3230627921821314,1.5018445605373743,1.3370686406763135,1.3928564162649062,1.05034821634104,1.1670671631343768,1.0572144293753232,1.0279369408547057,1.0780099292742091,1.0710364245696575,1.1740954205083751,1.0513080626498015,0.9367557685820173,1.0648397232931897,1.0684485576072624,0.9774655324488499,1.0114337496966073,1.0677048397818854,1.01854109176335,1.0688715131153343,1.1079126001997999,1.18527983726331,1.1894301565950955,1.2583344896346742,1.2111924536196523,1.1015646196718698,0.9690761460264823,1.0378592558451971,1.1932904321468385,1.0514381235314505,1.0205756978491836,1.167235112672576,1.1989830039066933,1.0658192411889378,1.2684648209395468,1.4374554893839309,1.3019836032045005,1.277122544300261,1.5121025986535381,1.673545637118648,1.4945782117365463,1.412548261583045,1.792090095515454,1.9040159549617937,1.843237290515321,1.5637279609176773,1.2741095616803066,1.1495173475692604,1.2970685781234905,1.129899072717732,1.2673351540257503,0.9888463114780689,0.9991027537246873,0.9994539904753854,1.043145332076071,1.0939217086865967,0.9733915338129282,1.156190222367281,1.0913341767619054,1.2983412268053385,1.3807791199960813,1.0697121843170032,1.3916841142731748,1.7244935843227318,1.1265279200023866,1.4822080880709185,1.4724142945949479,2.25257855387992,2.4960548950183217,2.5656871480079886],[0.8288577241384096,0.7256832263381552,0.7794600623841501,0.661358974676141,0.7527946392522284,0.7266124781443254,0.8258636182663424,0.8348648894006909,0.8875896124317578,1.0915181651948043,1.127092735569029,1.0708112197691133,1.2513509230139697,1.3476638445817792,1.526326237002039,1.5007243712055671,1.5740014360920456,1.7658503594711836,2.073967305388325,1.9528967824140675,2.1078861907716346,2.1741175409549496,2.2682026449128383,2.576034170542202,2.179476250008933,2.138593170093312,2.004500174366657,1.8199454580673056,1.7241401034312605,1.5450174254630782,1.6332703714500416,1.4610660383265015,1.473505921976184,1.618457560789058,1.6129084498662438,1.7095979994339336,1.635895168555397,1.842045074728588,1.803504874266295,1.887457976227475,2.034169570864091,2.100164189343053,2.183432062860669,2.335031545537512,2.581011761931299,2.584696113622339,2.7311862885151017,2.5065321606528155,2.24608268075908,2.424993200510481,2.237845436569919,2.1952328047205194,2.1692093853244847,1.9491119231159142,1.9473071080192845,2.0801334438199457,2.0751968636569393,2.146243741971087,2.0875112176925716,2.390612747429936,2.16016089738732,2.0799734919545543,1.9762455679379451,2.127664040126923,2.1307954064415946,1.9996273857438602,2.062792189221931,1.9415916350727553,2.0219256576919102,1.8866186037128485,1.9991073517943265,2.1731736864942732,2.012902303031658,2.2076511698405565,1.9052673898139358,2.472241219770136,1.983774173531344,1.8902477802464865,1.8347573450350323,1.8841850731185406,1.759634106694097,1.826495899978162,1.636419224387552,1.5078223558116441,1.7147847060547377,1.6804734819908984,1.7776462171761285,1.783204180665838,1.8148269830446995,1.7936654480669412,1.776068450260798,1.9778440918528566,1.7941994878831817,1.5883333300695073,1.5053472624287658,1.5112960214555036,1.4222512915108276,1.314115688294936,1.1853417270363475,1.1225987339814618,1.2269787728714743,1.1497625347017841,1.2285612653654616,1.1074195687434811,1.4236211311644207,1.1356209844639304,1.0706313951546373,1.0612273922206983,1.0106036113669954,1.1086741705151941,1.0670777962848599,1.1154630862720256,1.0349668136917862,1.2064901720815124,1.3257575796143883,1.5135418808575947,1.7326374706865781,1.9693335253719315,2.1997549391180016,1.8078429671950151,1.7509391551724909,1.5595496440734047,1.5737998673101041,1.3201911008037583,1.089073763590009,1.120056516788249,0.8960930159866276,1.0371060848226168,1.012468775874711,1.1711947642460003,1.0892575418672217,1.0909428325796058,1.2649350316831345,1.2718425034859564,1.3060354462323804,1.3123800908487067,1.2613293209464351,1.4305609279062788,1.4875111459842436,1.5439850141339588,1.9661400687993997,2.2642072362772234,2.059193905995039,1.8010190836178448,1.7961815724001582,1.682481261456324,1.5753062563261575,1.4097804112288603,1.2148537896741063,1.0973436380630002,0.9575405413151065,0.8812872864042015,0.9692255047764793,1.4020717330123507,1.3029962453401824,0.9750954397575504,1.0671017334414252,0.9988614783238762,1.2124124273269163,1.166350687034157,1.3362094207076647,1.566598142979638,1.6396334682056493,1.6871282561291747,1.6898524407832842,1.6125541299281922,1.6299837076184591,1.7537250633327606,1.6250036647838855,1.609940578659125,1.482206515494169,1.5129626218166654,1.5275936189964474,1.4720791160718982,1.4702783408246598,1.3913205369525776,1.4200954560553796,1.4195786143972213,1.528010511773284,1.405610600909754,1.5597071747257398,1.3378717543007819,1.43992155385159,1.5315586635885163,1.5368443813098067,1.737998613203565,1.9627175811973243,1.9750728079310724,2.2415152669413994,1.9451975965494561,1.9166852087132809,1.6759447695434913,1.6002969668242524,1.5258448658592763,1.427742278074495,1.4810435312615613,1.2843665517068563,1.0724289672135876,0.9653740972388319,0.9716285365436687,0.8579114931155198,0.8029840147467867,0.8274796367277493,0.8056479106381697,0.807717652055563,0.7548595098650315,0.8150577709438939,0.9302893642344089,0.8584211814372591,0.8664968297592452,1.0418231703291434,1.155551963656381,1.0407756363633658,1.1832843086694877,1.4928126090763167,1.4608902889618631,1.565702203419934,1.605006668282984,1.295696099021508,1.3693261423046281,1.3978530024756293,1.655389797348705,1.390994943437635,1.2326229306214833,1.2005834666406798,1.0211704194465232,1.155247260588876,1.0897917217676618,1.413295647285236,1.0652269548206112,1.0300240992501268,1.1850914733035838,1.1840873313956046,1.0648064713020566,1.2848738847814327,1.4734626647413929,1.298596227379129,1.3649969490773268,0.986730896760627,1.0886350053794214,0.9627880294130993,0.9136302852844175,0.9355417543900285,0.9545533140874979,0.9704615763147441,0.8787862681354518,0.7888625727953111,0.8575020422900628,0.8532602800534129,0.7923165591082656,0.8302434891894545,0.8833374245883908,0.8495400361866253,0.9534909115781834,0.998869727135566,1.0980150012756478,1.1212076559738178,1.1952617744789942,1.1504559241405206,1.0320793205999859,0.8658399233678181,0.9527357900466866,1.1344226069322267,0.9796067376886728,0.942331623792508,1.1111317995527334,1.1398137394255918,0.9973623242389446,1.211111593781859,1.3771485742238438,1.2362863059355962,1.224364873543541,1.4585018073982026,1.615110586375023,1.4350825614799116,1.3531523473435094,1.7392025635638577,1.867306641475821,1.80004673778344,1.523714376222511,1.204325576427706,1.0549908978604576,1.2366982699893079,1.0428670671670683,1.2113315800261446,0.9099581781101826,0.9138688238039485,0.8565563159997026,0.9126029258164722,0.9049552400464285,0.7721886967189319,0.8994639876294469,0.8161028520031457,0.9778153928940446,1.0815913333531049,0.8116770745274198,1.045103158949226,1.395953959912755,0.8166558046511088,1.229040993017263,1.1437152358348195,1.7607259594660023,1.9434155096796961,2.2176061515588485],[0.8798196859282547,0.7689902555472931,0.7777830303796616,0.6725876875717424,0.6008686134342323,0.711971256745525,0.8362987640722911,0.8864567611082241,0.9787067774489292,1.2184422246825866,1.2680095430622134,1.2400013843475244,1.409552625607967,1.495824828470823,1.7545920287641084,1.7038802303781007,1.770338504976838,2.022083755668531,2.382297122853908,2.2404686499152566,2.4416916437454197,2.5091396405184296,2.5807565517520854,2.9046532592701935,2.483729134473225,2.4188085430190682,2.2618342570876293,2.042139789268415,1.949574649246485,1.746041061940643,1.910045691303464,1.6773492494246687,1.726943843463718,1.9112553558434797,1.8689776935764328,1.963847486139759,1.8509554102066652,2.0889676669973847,2.03073106545696,2.1135734167152824,2.2615979465980156,2.375309108866702,2.492629025763002,2.5894169984694604,2.8591812195389803,2.799553862646548,2.9814651574005926,2.735482041416769,2.425255742251391,2.6008455097782335,2.444045790327212,2.383268531651892,2.43028546872115,2.175703899708295,2.189176755256354,2.3622538935675634,2.360981418794954,2.4640931068444125,2.402381353403665,2.677228312685744,2.4983387383200832,2.4574953782249604,2.3391283450715714,2.524256320984584,2.5198900102125057,2.347502912317268,2.4063315477411864,2.2747572337092428,2.3542594741565166,2.173654394252485,2.289181634518557,2.486622594878151,2.3374479667882477,2.565898845866829,2.237212511740548,2.850194506065019,2.3355756718186234,2.2478415919674095,2.146679752104784,2.19348247470094,2.0450991733828023,2.060911568906736,1.8422350419672495,1.7074973501352424,1.8898902856844126,1.890178959818909,2.0251296786574193,2.026750539840007,2.102415318087366,2.0922687903236286,2.1097760334013205,2.37406693531446,2.1579911210393514,1.9032384927384307,1.7774975588635937,1.797401313947759,1.6652953596311166,1.5582629984196514,1.3874163622715694,1.240486176841212,1.4220952574586068,1.2390742727186774,1.3895629139787824,1.16404244993906,1.5298126788275437,1.1733374353199766,1.0337531809820373,0.9719656596918502,0.8939772360231906,1.0649720994514067,0.9830471019406588,1.088914924014525,1.045160442982154,1.2274239675975127,1.421348522620374,1.5927257057502844,1.8884330244905945,2.146681126655197,2.4959540052885947,2.0725076827169064,1.9729589515510315,1.7236594832382663,1.6568167290022355,1.3694007193023363,1.1036555856217196,1.0749075876734995,0.8518806001822884,0.9568697909220673,0.9107699218433304,1.1255706395758505,0.9499698992346393,0.9700564058928169,1.1633742328448904,1.2146661442801203,1.232877361765831,1.2601738365973154,1.1219612328215192,1.3479529207165286,1.4779924690177004,1.6094939550769054,2.086617920919261,2.5256074637906485,2.2812607969691614,1.967143306230421,1.9696704039799493,1.8556200830646663,1.7068701893692697,1.5306774656781728,1.2967335648248854,1.167420291545362,0.981906915915865,0.9500615061743014,1.0260931520745633,1.3764645468159724,1.3817377953359335,1.1137197141983843,1.221517894784121,1.0856229198183298,1.35875182520699,1.239491176823264,1.4098370011359742,1.7069183527326373,1.7426495920663518,1.8347482786828349,1.783924047260441,1.6781067408717767,1.624108523388452,1.7121453414340477,1.489482872489645,1.509948809041607,1.4006349782442056,1.5015366999316062,1.56256795901223,1.5449579183208952,1.5869608625411646,1.5081707192602645,1.5899054676986049,1.5895579853113337,1.6823426797345327,1.5237095078338687,1.650499851537912,1.3879743965828708,1.4468111325715254,1.5305673643665856,1.5737727097005245,1.8383639334530741,2.121290933927072,2.1240697513881104,2.357184624505227,2.0400074937623467,1.9866077853411175,1.7277463565241462,1.5686353768832257,1.4535037999568927,1.3193168899811982,1.3624420517423823,1.124128816650843,0.9343037672341107,0.8313111036153062,0.8033338575804045,0.7550316417459033,0.6772443674509142,0.681610406487804,0.7249421270121356,0.7660368139406244,0.7005474493434989,0.814102070841239,0.9812007157165411,0.9111171680013098,0.9341798081869831,1.1514373479579363,1.2638925061931003,1.111436319369211,1.2863219593746302,1.6237867557420382,1.5947855658789127,1.7112479842016473,1.806668570454554,1.4477283284937605,1.5204523787677076,1.5686941813209285,1.8023940690482054,1.5783263610543208,1.2387518915575042,1.2610400905195212,1.0543689165824346,1.0709387748276311,1.035350066349594,1.4454657130065687,1.0871053056619673,0.9121053416375684,1.1547116516322107,1.131091053674003,0.9898863248763121,1.3233371909952527,1.5293089972467597,1.269065006700026,1.3020065513745525,0.9045995674538965,0.9821823316447027,0.8501875211291402,0.8151397344461172,0.8467330491861993,0.8476844612533851,0.9019760080879321,0.798073211546712,0.7402937780926528,0.7762788279267505,0.7518777329562997,0.7244066848019645,0.7930064947249851,0.8400771645545556,0.8405793098327289,0.9787100804072207,1.0121756495327672,1.1223240965838588,1.1761875555387398,1.2452051635917232,1.2195390768914838,1.075670669161085,0.8764939551247367,0.9856425363096599,1.227485099920467,1.051302570338042,0.9821610047406586,1.208970772125708,1.255792876798406,1.036504298946744,1.2988085656900354,1.5148401227565107,1.359743172402098,1.24292441677246,1.6635528497765466,1.8710858555121,1.6410903428043737,1.5370886911972734,2.022353396722778,2.1350857913373034,2.02580762934127,1.7201091579082215,1.3300851638961029,1.159816027478019,1.4061057997011368,1.1445080732832968,1.3358474513891296,0.9327829909991803,0.8748943833292602,0.6879450538909785,0.7340643198767965,0.7535157843935855,0.6751526549576597,0.7762563389081875,0.696703889406319,0.9754487090043894,0.9846071428777877,0.7161189356248451,0.9395946988214691,1.3876978982244665,0.7573032541481968,1.145996312306077,1.1255892775588692,1.7407912818090057,1.893320927430855,2.1619306439594883],[0.8887662631055462,0.7852037575532954,0.7670069167932654,0.7669568809869842,0.7925663586923039,0.9212680480399595,1.114609741585186,1.1972364413090828,1.2752719307132043,1.5274159618149497,1.592498328737622,1.5591545351734355,1.743002354226956,1.8227466772890815,2.093821421451889,2.050099629810039,2.0828698724038577,2.330991422219666,2.663107209569399,2.5250806514301662,2.6980850677380954,2.7432142505791326,2.7982817895723344,3.1185237776586723,2.6966981524818894,2.654710856479667,2.5023939091484366,2.3104318691401295,2.250116492576062,2.074057762357783,2.2492123504269976,2.0287993661054338,2.0906288918204545,2.2573019267559546,2.208028293322376,2.288702025232802,2.176278689309404,2.368726196909672,2.284458101119022,2.3409810423070416,2.464072820085515,2.6070441280762644,2.7007762731257863,2.749295062259956,2.958826622083129,2.865791450244534,3.027076181815708,2.8557931651993202,2.5587483869675554,2.694763829772181,2.5678369978255073,2.538335301172642,2.6066113816658176,2.388084259171325,2.3965556366421024,2.5628503959296123,2.563730815542506,2.6844602897696515,2.6302374067869634,2.86303398160294,2.689994793946694,2.7022778316891682,2.6240593629906286,2.7834071501422915,2.76119690869209,2.61206000959867,2.669261395026658,2.5789080463917338,2.6417043034670615,2.4866954421897662,2.5872685380325864,2.774945141360836,2.6507147973945204,2.8422577349174216,2.5622542469246996,3.1483668623971734,2.6341020004786166,2.5606994230998525,2.454293798980793,2.469681093505345,2.3447807807813077,2.3392989103746773,2.139997982774893,1.9831447868099954,2.1313452744424843,2.16842907915297,2.3188883119646344,2.348845865236268,2.4157395155251673,2.421480205621173,2.4457034252018826,2.68099880262365,2.4928577939973207,2.2630481061080796,2.1308824336818835,2.158521817978666,2.005280350662847,1.908056342192501,1.7440058282299142,1.6237779505280245,1.7831152945301707,1.6095568392468644,1.7280650839813647,1.4929030585988954,1.7858385888263437,1.460295237538878,1.298547761820555,1.1782906526836296,1.1172233633081126,1.3315867494859122,1.241182797095661,1.3728955426410667,1.3473911402006746,1.500648087401936,1.7155947069958988,1.8585645585363333,2.150502443682369,2.3722410544929393,2.727232135986534,2.3599277551956472,2.258357732962248,2.0298148594126397,1.9292935365093908,1.6384295932613782,1.3769597870006518,1.3214506260022227,1.0932049886952602,1.2034232656129422,1.1317006118530415,1.3744667900205074,1.1094324572379803,1.1322596499752131,1.3138595284716137,1.4230865906538546,1.4118743970491494,1.4690716423081807,1.259213570709567,1.531180754527198,1.6591450499735307,1.8082201808770162,2.197861207445365,2.683483096579019,2.5079941019013763,2.1900486303969893,2.192988065720907,2.127916635176783,1.9706965943125934,1.823191278524809,1.5995072502280174,1.4846095525110239,1.3089838286996527,1.292053210969416,1.3646645694254609,1.6378537539139733,1.6966469752879512,1.4850443508648505,1.5727534368926455,1.436910366257325,1.6970670978015938,1.5519995589586029,1.6923123056974587,1.990434817844603,1.9658385319571772,2.0526945572271242,1.9363899819961015,1.7927353551399408,1.723057915706962,1.7542288105219714,1.5463077610498466,1.5905584065135683,1.5286311542294082,1.6672980839671305,1.758084698607279,1.7748143895226351,1.8520487889533337,1.807443161479027,1.909060168703651,1.9139818186395128,1.9655907851122465,1.8070255268992732,1.8799430314909393,1.6376477493871757,1.652708760946222,1.6975647523679673,1.739198761403111,1.9980092893459882,2.2898066808843716,2.245076135177601,2.4516959757367416,2.120236850710968,2.034027223457762,1.8351377227114771,1.6777889360140672,1.572007448524768,1.4314842494971867,1.421103257280083,1.1921051934610276,0.9968821752511007,0.8524144107605155,0.9095606178168067,0.7531114981338082,0.7892092821351095,0.8215915441524954,0.7110429354281411,0.7152051448438266,0.7534316361189093,0.7347296440474607,0.8176170166618371,0.7849370848005236,0.8372537949026508,0.9659756795325104,1.0477833669582042,0.9890430005203349,1.1097182527412572,1.3879422133921329,1.3645544156680713,1.4457502004599254,1.5217361537735992,1.1740589054589348,1.221990824644765,1.2445936351889275,1.5273837971061144,1.2791961062079045,1.109511353207449,1.132676562904478,0.8726241851280131,0.9688198185158374,0.9451482588950494,1.2367135306539994,0.9085375472315848,0.8999743059412926,1.032615178410053,1.0184271292459015,0.9157586579664639,1.223021028849916,1.3396419955516339,1.1385482369647224,1.2571044987784556,0.8509937571984059,1.0480879451645815,0.9147192960227845,0.8514560156302741,0.967349949717673,0.9344656543877786,1.1153105234454512,0.930659134463476,0.8023067013511104,0.9858220011005753,0.974112834991168,0.8134639707711048,0.8505279470750337,0.9381303208179693,0.8518449918160786,0.87267050872449,0.9403541910513177,1.0711306828221894,1.0142323227651202,1.0580854297929398,0.9987909879323742,0.8763932263026412,0.7540185818678798,0.815783742492189,0.9585174610251347,0.8364325646495353,0.790482170454538,0.9498315682341582,0.9966457357819825,0.8451355623868382,1.0481806085807877,1.264745858084409,1.1248728607739817,1.0669055655180328,1.3996889249077675,1.615935424361064,1.3976269570341844,1.306213291419507,1.798256283954769,1.9216165492592592,1.761067051942558,1.4956254210103592,1.1410175732584409,1.0249667721708444,1.2592334917665222,1.0114137305726156,1.1743377177775347,0.827829403149545,0.7664355528571406,0.7401803407510881,0.833269676877573,0.9461697506758664,0.8108140402947099,1.0463359697168992,0.9685319192148774,1.3129286534420384,1.294543353356461,0.9042844690944255,1.3007294654648092,1.7325788464677465,1.0117465817262263,1.3432602960256255,1.4203100516919906,2.3119585816990695,2.533677867741008,2.5311445144267117],[0.7949425127907345,0.7588132634974754,0.762266476765392,0.7431286229626246,0.8075849642432701,0.8575745086810614,1.046447763826648,1.1097392969307773,1.1509911591105781,1.36631191326023,1.3955818789183099,1.3789024373551935,1.5334478460175422,1.594943154953954,1.8101193878690311,1.7744105203407254,1.8028732627949473,1.9805673777238633,2.238950187720723,2.105954188472458,2.209033696768489,2.2493056540128635,2.2700984883881654,2.5782440710131715,2.2164326239498915,2.207274041738555,2.1085223352931317,1.9804569223610673,1.934821593605071,1.79672308052754,1.9074976188993151,1.7538611620378004,1.7869091399685797,1.9057390192521682,1.8759770274213285,1.9327585433892334,1.882056866844496,2.018246515658908,1.955878146561248,1.9971072254053723,2.0899179969036354,2.1777193110049557,2.2453027456000063,2.321630055998799,2.4960258493371867,2.436524826655304,2.597429606676666,2.4154463203896097,2.1756076406670064,2.3157178791569164,2.1947459622212597,2.1707418477934497,2.1938725189620487,2.0206690250090404,2.059034373764387,2.1248459632607757,2.119114722049098,2.264230454480291,2.178447305062312,2.4285216709054804,2.218747958302424,2.2052750795423446,2.1390281563224804,2.237754488322543,2.2234164435102723,2.136705303016363,2.1862639487963236,2.137932762528168,2.195416675759247,2.0947235473907164,2.178356240079954,2.332813931531914,2.2131421668127227,2.3876140848543175,2.112706476213483,2.68727231020011,2.176834451877921,2.1170795483985563,2.028109695421496,2.0385850768961,1.969778542173006,1.9830599000460656,1.8621641656403223,1.7069304557053735,1.8520352422529303,1.8737744180926428,1.9526890320442374,2.023721543932855,2.018961103497427,2.0439886573738564,2.03545033722613,2.2560626122145275,2.091464953458025,1.8971696337683672,1.8088560373741749,1.8228913161336284,1.7124123841210053,1.6462850281426247,1.5211381240783628,1.4291472242475727,1.5706027794417992,1.4414458372720333,1.5365457475840054,1.3531068591891098,1.6313378401949672,1.3777206041527632,1.2501244907718747,1.150599255687365,1.1182691655189536,1.3186226850066687,1.2330503202648462,1.3057676410877435,1.2599090044213732,1.3930984423867825,1.5416271645655748,1.676441451852612,1.889282246377366,2.077606912842116,2.319943886039465,2.0060003792691927,1.9403664111960406,1.7695131411859562,1.730443510543363,1.4947547313125773,1.2721152716368138,1.2553095130872676,1.0696333770890512,1.1658021912453334,1.1202225906514223,1.3084543300962634,1.1042802487197565,1.1201162605155135,1.2549111208033983,1.3474827726985132,1.3350775529804815,1.3856248583980386,1.2516220747272184,1.4573617592143666,1.5354537505151717,1.616369903167022,1.923637688142583,2.28619865065835,2.1637741295529,1.9118026170351592,1.890174387272416,1.853411448159916,1.7446502301732432,1.636163801249867,1.4512444192169902,1.3629900819516998,1.208151573818723,1.1757363368162668,1.2616943004578312,1.5121893806361983,1.5579294939082566,1.3289008913922706,1.406900900896149,1.299903281636419,1.5125517910948845,1.4168334346199998,1.5259254839596106,1.755998971556179,1.7466528633988745,1.7998780522148037,1.7085286266469943,1.5788746008630172,1.545226677929603,1.56483362103186,1.4457263892231809,1.4801520358560138,1.4297448428685553,1.5294328500047176,1.588420004364862,1.5947385762836304,1.646774340166789,1.6173339300547125,1.6899339861422815,1.700503201727748,1.728966885574747,1.6091750703469598,1.6797656097137608,1.5021254388693726,1.5100445204761441,1.5396507007703257,1.5609797338921059,1.7484355865774208,1.9917840297411993,1.9426296009847333,2.1201439642414894,1.8419355711668217,1.7925894889705867,1.628117132763682,1.5179783891073606,1.459923290394991,1.3596084436460842,1.377838852279646,1.1881832288146992,1.025193784624009,0.8871058981225611,0.9597840425935302,0.8176557336780846,0.8533788055921849,0.880680271356451,0.7817763487049728,0.7802976052297721,0.8221126933650211,0.7772027627260365,0.8362124241608476,0.8055392042341373,0.8491928970771888,0.9427347402613427,0.9968217760461584,0.9641777558633784,1.0501596780016103,1.2870094740244233,1.2792977013099796,1.309160789943729,1.405433481892111,1.0910805406168187,1.1229188587969634,1.1279408684242085,1.3906050510774213,1.1790057381075272,1.165717848942218,1.154955809211275,0.8955848093830223,1.0225337128955674,0.9798869207198098,1.2025273344723733,0.9180669177508761,0.9535564270581628,1.0200623217364415,1.0277604397453148,0.9339591960760809,1.2311448563702816,1.2696869639389083,1.122817692402313,1.2664699050302402,0.8829785144422786,1.082083881176557,0.9651596967905385,0.9250311766088153,1.0418037135184846,0.9894361132057425,1.1655018748089543,0.9974099179260548,0.8709126287932953,1.0574050749664008,1.0296260927789367,0.8819060379553934,0.8997292976900638,0.9691996559877318,0.8818916983787445,0.8694018781070691,0.927361582315746,1.0569370344033435,0.9691165332736602,0.9991709972033312,0.94915566896876,0.8515152704583085,0.7980379084397278,0.8381340015864078,0.9004491052110803,0.8249662403207743,0.8029417558537358,0.9057241877758885,0.9470927664223627,0.8434350375706245,0.9897374307011345,1.1879579971393348,1.076452507415815,1.0517414899712496,1.2925325687147085,1.4991404114972395,1.311763196631885,1.2501497403463961,1.6985747851240356,1.841156970230158,1.6436427415397263,1.4353007129756292,1.1162911352670715,1.018171340347962,1.2573271774231085,1.0351772051276953,1.1689258554177733,0.8766431315437654,0.8190185748447065,0.8196674444395237,0.8867623221148458,0.9754708479512066,0.8516159841625753,1.0865454493754891,1.0317830225822564,1.327421295971372,1.32786018149566,0.9384972870803764,1.334734889413599,1.7432919617580191,1.0218037537565796,1.3183536506891138,1.4006694166300404,2.3355802461181514,2.543350757515212,2.543519545813411],[0.5944973348175356,0.5775171447235693,0.5859955796975868,0.5718330874922941,0.7205614182446423,0.7246167945651226,0.995812691829474,1.0686000017459156,1.0990915977245257,1.355564257853635,1.3813355491026822,1.3703825803474152,1.5621599794223755,1.598328613231315,1.8286130862560686,1.8053709799179194,1.8647742498136173,2.0483401369735037,2.3147872359454404,2.211052076663759,2.3335268771475928,2.3979905009902005,2.3840799593826256,2.696252660146064,2.3602417136292977,2.3305724155385965,2.2668651596930665,2.0955017551958264,2.025513476593508,1.8665493478162747,1.961134911129852,1.8072267210982544,1.8313327711113423,1.9725255148759342,1.9602618720520202,2.024379144382688,1.975073557320323,2.157424945308786,2.0971578014250016,2.1627002888876823,2.261224214585856,2.3375651115106773,2.4331684408511065,2.5065151335334637,2.7048063449677042,2.6438474653392547,2.779593671818838,2.605927738427745,2.3592125324312585,2.493990039432166,2.3725685486046677,2.3448203001831898,2.369398090286935,2.172449998804696,2.1783110546257447,2.2880908583711883,2.275611122862146,2.430383850690842,2.3272501308331353,2.539528739660675,2.37518498202948,2.3321420585575328,2.255971985588831,2.3590797952745133,2.359805530415401,2.268631352332839,2.2898802318609293,2.20861248946203,2.2495011299708656,2.117459248233793,2.200624801941141,2.34546565767659,2.217416735272566,2.3991600933180046,2.1742750321269653,2.770489121096138,2.2769631106747745,2.2161499900378785,2.1465354762922533,2.1830477422562096,2.096652024443785,2.1318760952320006,1.9646531599526602,1.8345347123629445,2.0044602577548427,2.0042987070907214,2.0795951664152623,2.1133926667442724,2.127675028035576,2.1221194340433147,2.1030388847499393,2.3331673248387057,2.1378023821550904,1.9345591733021958,1.832905415000501,1.831290002310389,1.708155741654541,1.669901968788112,1.5233259049155865,1.3984235561310907,1.5970584525974147,1.472739114009541,1.6033817146340332,1.4220855587503713,1.8265070679898545,1.4565284420081035,1.2879998520806981,1.189324811366684,1.1498293921879155,1.3643005376269717,1.2672652755924951,1.351600347446795,1.2662904369587897,1.4437781348603738,1.593102342238069,1.7496926213177695,1.9889844194139106,2.201447987064071,2.439535354166663,2.0896569667115212,1.9951635235586926,1.7954938842629946,1.7580763208359584,1.5275031067029354,1.2764684569257732,1.2791523823304065,1.0623584662143601,1.2024602935502728,1.169210602881968,1.38465492381064,1.1523519196217897,1.1665217014053229,1.353762674318539,1.4452962008714658,1.4436689684186368,1.482044990043751,1.300590816537186,1.5580638908925846,1.668481991025593,1.7651899426503541,2.145994012313156,2.4791942203952035,2.273307306368263,2.0494789353533056,2.0460676949185106,1.9702813343103993,1.857959030833989,1.7079802486548934,1.5160624881960785,1.379594865761136,1.2073887944106272,1.128513978007224,1.2277578717261992,1.3693611023261323,1.4382650743599061,1.3060319471638195,1.417471746823103,1.318473076271887,1.5679172380638835,1.490816451058959,1.6276233783565286,1.868739999136724,1.8908318501991048,1.9467523636312416,1.8853971858196,1.7580691415885783,1.7273289680808248,1.7538563533761387,1.5847483524266481,1.6326368533139688,1.5606268098899012,1.6717987271321124,1.7314585101728908,1.7292911696750637,1.7727753000266318,1.7270531668834364,1.7808010175509772,1.7837086386421104,1.8509242537994905,1.7237888633582277,1.8157032773441366,1.6267418554640285,1.6559366952280687,1.6907310141627885,1.7200597608642205,1.9187406870531745,2.1700552749823077,2.130452089908363,2.29636180104015,2.029278376634435,1.9683363166569041,1.780069355356583,1.664840854027623,1.5911443223529569,1.4695652490445532,1.482086477145315,1.238613647205556,1.0337166881991553,0.881181300794748,0.9232777314815657,0.7507272321240426,0.793859656881196,0.8380583614727152,0.6697591571747346,0.644667362209287,0.702786725999643,0.6043891860390825,0.668293811267172,0.6139573197388153,0.659390128062965,0.7686721102361275,0.8248677527921084,0.778372315978133,0.8810539954253287,1.1481304859748491,1.1622115248931033,1.2037642203668106,1.3302798176223622,0.9718263977700878,0.9947536958762566,1.037807693259852,1.3208109085575221,1.1363288438705041,1.052433941463747,1.1286384803222316,0.8004002202212868,0.8870668299981407,0.9029418943213666,1.1455989752306244,0.835715104581357,0.9090887224287335,1.0205149379196894,0.9806445912921166,0.897864595947157,1.2023153770800186,1.260632216148485,1.0949743544540262,1.220568860109828,0.8356017814888191,1.0808117352915427,0.9416610388085153,0.8533820265981442,1.0125320656357526,0.9562581991203031,1.1483336722037008,0.9779269741501709,0.814143776863428,0.9807965927979437,1.005890581946577,0.7413696749178793,0.7378761904026704,0.8240033827335715,0.689316117083349,0.6583102134281517,0.7153184517530228,0.9068274219519062,0.7645756845929843,0.802997276534679,0.7719445119848938,0.6787776755823328,0.6241236713504739,0.7292696342874999,0.7544132525377982,0.6819442777096884,0.6913396369935364,0.8005031225745489,0.8315146342573965,0.7349828933106572,0.9300024890078518,1.1185447508106334,0.9900489733952983,0.9710468234073387,1.287210613144833,1.5084428107202301,1.2817101181757038,1.1908508978737131,1.765876308941526,1.899328018808832,1.6141466285869344,1.354710877569753,0.9747661922193186,0.8418211846609276,1.139757362281357,0.908656616340532,1.089631675469391,0.7396950634475774,0.681465546416432,0.7353624619868332,0.8543526058290002,0.9914886675286213,0.794366600716831,1.0228150599845882,0.9096276739278255,1.2595968894742002,1.2804127334288553,0.7658179588993902,1.1824670938328512,1.6934540506069666,0.8908371284264963,1.1317453505894852,1.210585917984597,2.138557872214549,2.2784015520208087,2.440952218634331],[0.637376093545662,0.642775638930277,0.6470676529972947,0.6756175094769303,0.8837218202007305,0.9042357113928975,1.2339759195298245,1.3590815366073143,1.38513679899131,1.6815752332689882,1.7347210177748338,1.732944420672454,1.9654840766925825,1.972243754470056,2.2636088353801394,2.2552340896732535,2.3132601256936263,2.54785901509146,2.851106561845069,2.7573500077012714,2.9041088221750173,2.9687228426250556,2.95910018814158,3.281585580355472,2.928229714065188,2.874416891140008,2.7968105871641393,2.594874892799553,2.5238277434369585,2.344892421060414,2.4638340850626124,2.288732940997434,2.3314649462354646,2.5031161905332233,2.4864163672871338,2.557026696702491,2.4875908083266416,2.6931085682862568,2.616132744477668,2.6895026568792573,2.7865994152247784,2.8916097221365886,3.003915919664025,3.0389568032265992,3.2114984027904785,3.0873545545940075,3.20409351028491,3.109907114427313,2.844224642336779,2.9624025489856067,2.8633674607362667,2.843716021749306,2.913336108309692,2.7006038378641857,2.7006939178635765,2.855716783400192,2.845268412097635,2.998949110581978,2.9010639834140943,3.0740168926067106,2.9451975474989873,2.9166015899928546,2.8375909067218497,2.9376156765302346,2.9449825294673286,2.8413715765203964,2.8387084929539355,2.7584009732514954,2.780445211321423,2.6177801663184668,2.69199542766948,2.824781807332025,2.726043290348766,2.9341917162441575,2.7159826842748545,3.303546398699948,2.8528967958220974,2.7931951739528866,2.7223174199651208,2.755227639330685,2.6579171053048896,2.6710347313819414,2.4659221956922686,2.3415702378897856,2.500124842181716,2.5195207995333107,2.6269756652158516,2.64443700270846,2.6856221701522167,2.67417365117924,2.6554357335781527,2.883187395478417,2.67566718305762,2.448323641882369,2.317570674081705,2.3037820144407877,2.1472465217115553,2.1250181043940173,1.9457063306327609,1.8022437615606675,2.046089042519642,1.8729465579069862,2.055782554567904,1.8259925333277114,2.2239244001509704,1.81264687193637,1.603672652428382,1.4673241227709874,1.4008865972173794,1.654485616558234,1.5117412927548044,1.662285579857937,1.5776983894641228,1.773586870497573,1.9622886500916796,2.1046006751202277,2.410466894761094,2.6347598230691722,2.937719432234013,2.584727546761418,2.4463027569138753,2.1935448509911963,2.088353134189254,1.8217714497950745,1.5452854216152574,1.5402055214438441,1.3038910973973137,1.4672210327714692,1.4261751596126475,1.6988144484907026,1.3857273511399288,1.4251271154787064,1.6281782404033789,1.7704508170784832,1.7404861443214892,1.7781147295575077,1.498640025271379,1.8077693664678731,1.9435181145165181,2.1271862811938256,2.524339473524345,2.9974114304966273,2.7797094288209574,2.501599194864004,2.5177873571066285,2.4400980012409574,2.2820650134152713,2.1238591413232224,1.9103301601508833,1.7383372022505947,1.543372165234408,1.466650270134931,1.5633534723673719,1.5793943321545345,1.773138285969507,1.6912735565556718,1.8083136117499223,1.7018864131434985,1.9884988951217095,1.8875944051471283,2.0226591230362323,2.327494869354062,2.3094870070951705,2.4075455427813828,2.2963498253264536,2.1193330113905358,2.047471809484416,2.029604245567648,1.7928511459421206,1.8624713365020145,1.8302624726914938,1.993492314368642,2.1162521409598805,2.141978725313909,2.2201353551631664,2.1720346419852405,2.23820254907064,2.2563639947386918,2.330806723312483,2.1900564209438182,2.2557398869458987,2.022854227216075,2.036402058508275,2.0646554657820992,2.105042614906787,2.3577043026957494,2.644065984110459,2.5773640087524425,2.725296506529293,2.4217648629694475,2.307577381084193,2.1489650949796864,1.9731770721108528,1.8661462983068833,1.7236746175597064,1.694039926103882,1.4167074120361995,1.2168710830668008,1.0246796549677688,1.0945965400313042,0.8805476598971174,0.983072225871419,1.0238994861637678,0.7713892828322313,0.742321670570754,0.8485866716676587,0.6539857015950318,0.6740699638009234,0.6637673405613953,0.6988507982713072,0.7485976026128754,0.7907706172467832,0.7981668338462753,0.8481412159311351,1.0964148803153597,1.109783844616752,1.1410953499398557,1.279118236147053,0.9100390347158355,0.9217701996072428,0.9632052116460591,1.25976759981417,1.0948648023637286,1.0658483769851015,1.1844039842406706,0.8330313705473693,0.9255888928904221,0.9881730550433199,1.1013071520461346,0.8432204033537086,1.036685203752327,1.0809004999587115,0.9964901362455748,0.9717295802552328,1.2694591348565651,1.239774670148618,1.1116696944758389,1.2677254599248358,0.926914810613069,1.2644158668902203,1.1364958363093778,1.024870079250325,1.242234232120639,1.160641568282367,1.41855069369539,1.2040006392815281,1.0041136398588182,1.228709472644843,1.2518215022989767,0.9178215482550962,0.9091266003206965,0.9971217359764944,0.8122251235685406,0.720638653352153,0.7921541466467223,0.9726530990181536,0.76160864825297,0.7796880446754,0.7397781262962224,0.6744469128968067,0.6919893678889087,0.7858142125022596,0.6962084586180921,0.6692773668412313,0.7106398018640043,0.7532549294972755,0.7756483147943728,0.7269679639165869,0.8842589976818439,1.0749571622483693,0.9476557209179266,0.9413529253868302,1.2645605639740893,1.5044491789587013,1.2601450347966592,1.1640585575223816,1.7867165456778755,1.91855135552802,1.5936288139879413,1.32292721050899,0.9358798085582817,0.8247579453417628,1.124260686447945,0.898240521073655,1.0762325192653914,0.7392561613373798,0.6958021253689337,0.8485352877892814,1.0085028438018055,1.1784547648991197,0.9509344138362046,1.2405300657494571,1.1324967720322665,1.5472348352665501,1.4989886612364525,0.934689502371757,1.4318835766363454,1.9458458591841739,1.066254745116326,1.2530838118961172,1.438095718067747,2.549295220729956,2.7509395556837313,2.8192573678728556],[0.7647372811413605,0.7856494626344649,0.7820976521722695,0.8166068798522094,1.0299126866155235,1.0643116417854892,1.388956991718668,1.535602606579444,1.5248862847053575,1.8146851781795128,1.86219218968408,1.8844202981780749,2.1126157418674327,2.0886660364166874,2.381159602263164,2.387158427044839,2.438180647732431,2.6490384631034107,2.912626349909307,2.830926331368761,2.934799572622092,2.98676967905988,2.9466232846877496,3.25305696806159,2.943319235022925,2.910574170769823,2.871735573812267,2.700555221615417,2.6433615265403687,2.4856511005331026,2.57608696861621,2.4358754637928426,2.4717196721592187,2.6201224633985674,2.614489057881834,2.670856361772581,2.628405847861947,2.8040543295745866,2.7204221910540736,2.7745160105269546,2.8478897061235897,2.945084339832891,3.0394452952083584,3.0546460237840174,3.1761286034941882,3.0324286820543422,3.135141218356664,3.093081984900992,2.8492205027148554,2.932521297237618,2.8661773385655644,2.8675974394452624,2.9398996893079876,2.7598505847963266,2.7628863920408184,2.876950940325625,2.8650290451617244,3.0531009177657085,2.932357218159135,3.064552317026619,2.9518064440699945,2.934908940703347,2.878214305143269,2.9304782978015367,2.9454409059077427,2.88307741352573,2.859318523349891,2.8185231352679896,2.818829286300192,2.6778743875143527,2.727813025748177,2.8213882536562545,2.7510279422013624,2.9447835424479805,2.7709758992922335,3.344051221428264,2.910046462944862,2.863743711523779,2.8048677150044963,2.826931143423565,2.763781238526464,2.771929492478528,2.598718854470735,2.474656272348661,2.610661801890976,2.644678500341896,2.7312898403882286,2.7714340320958057,2.780924747910423,2.7766695108124715,2.7455690105550516,2.9506091047140033,2.7618145289727036,2.5554227364964666,2.432452213308777,2.40654705070797,2.2553753094164115,2.2649930213529634,2.102586811250403,1.9807628037935163,2.2193234543276223,2.0658513438923056,2.2347603110705316,2.0169455474006375,2.389276158176,1.9968238552967719,1.7872988751817807,1.6297907551626052,1.5657146209201156,1.8426912693929447,1.6720771497055797,1.8262357719728146,1.7443872318329627,1.9228407468699635,2.1045137422998925,2.230535986180698,2.5257263367220815,2.729083047215631,2.9971774109826472,2.6802123841565058,2.53789089935301,2.2995991728934864,2.1884655502428836,1.9380143159027148,1.6754276210056989,1.6702125863104436,1.457351122387778,1.6155230218720447,1.571407749041938,1.8570331461068244,1.5001757826248892,1.5482289874914945,1.7222571515295144,1.8990268301393654,1.845324693481057,1.8966182473342124,1.5843796174135643,1.89895185318774,2.0296047263005956,2.2236881455898176,2.5544705594067283,3.032597892075915,2.8585850976815697,2.6021016057383517,2.6107703372723634,2.5641256929185774,2.414983224163157,2.27742207238093,2.0806870138332227,1.9101652508471254,1.7352995778147269,1.654975145029174,1.761546053774636,1.7261326975403604,1.9463036212592766,1.8861727036949323,1.9874699358880643,1.8963248278633564,2.161123314915062,2.070536951807901,2.177918690946679,2.4671734408919153,2.42209865914218,2.5106908370154657,2.3614742101100257,2.1530944019193066,2.076662559732911,2.001486168191485,1.784141129130719,1.8756216636059313,1.8870260490345268,2.0758867460101444,2.216842539395977,2.2655025696552236,2.3603409348315236,2.332215465475507,2.4000699950465494,2.4225136206550215,2.473828910812264,2.3423318086782428,2.372254450760621,2.1704143960015574,2.149303019598127,2.148958937325718,2.1838065068345434,2.4201478964887033,2.705639609846397,2.5992478546919475,2.709254091543657,2.4219723517166534,2.296449052045247,2.179517362214234,1.9965840524842646,1.9019226863664371,1.7710817971514736,1.7226344792802561,1.4734198350953545,1.299421422960193,1.1043306727778066,1.2052369719890723,0.993498654163493,1.151468419876295,1.1752103726817837,0.8769814776413334,0.8778228628655224,1.0150215566855305,0.7336285738766762,0.7259642986518559,0.7984986191955712,0.8058857230261559,0.7598417389999608,0.7910075730259154,0.8878014417978753,0.8432665596488256,1.0094207066507657,1.017710707023485,1.0315177406048233,1.133380397097712,0.8171917879075802,0.8285704233007682,0.8468248292238063,1.1340559058325668,0.9951007580044852,1.1034298083319223,1.2804305479589153,0.9001925490218583,0.9903784362705269,1.079389851826619,1.0265174185994357,0.8269296982144194,1.1596531153574754,1.137045268026443,1.0065182220900604,1.007243268833286,1.2145773767811714,1.1346417878038988,1.0787816367286338,1.2214446663890874,0.9737358719795478,1.3728602064342315,1.2738591870993257,1.1857800930970805,1.4481982858033693,1.3529636241824032,1.6274236144652114,1.396672643031656,1.2032398061999021,1.4588102883571525,1.4666533084664881,1.1098492981451307,1.1224954463996415,1.2109426160992436,0.9955322472473851,0.8756483581648792,0.9625319168788606,1.1227628640767586,0.8493792849403933,0.8412606843007422,0.7749524260675527,0.7572726606697375,0.8291116526290102,0.9016801551481679,0.6872693176783677,0.7166929232042076,0.7727866073820083,0.7249795447538018,0.7335614722291711,0.7379400537409229,0.7808762955497505,0.9734844368204504,0.8623030357965823,0.8692713372059576,1.1412723369616204,1.388325786299529,1.1514003320753479,1.0710298533778801,1.6987969073701235,1.850176722781609,1.4754965480103381,1.2358294374732497,0.8756718604202637,0.8130505691514661,1.0924934377338889,0.8731634990144969,1.0183047941992223,0.7226259149170099,0.6972669885122748,0.9323012891793141,1.1101597586105583,1.3125813751096966,1.0978898442313823,1.425127820216558,1.3485706313400705,1.7823368165462325,1.6788188908321846,1.1264752530242539,1.6732711371449889,2.1440744901912936,1.2526864783382432,1.4192272010940117,1.6586367742076202,2.8933492372225005,3.1473262556506647,3.1693960342685883],[0.732542991624328,0.7606873050918366,0.7641408475440831,0.788773444646452,1.0077337461714926,0.9701440795588006,1.2650107782814402,1.3821139952553239,1.335838106676887,1.5702549772721517,1.5806271162319274,1.624269592563434,1.8327242492002265,1.771650744493599,2.02686232664098,2.048127035882836,2.101409539688586,2.2584706053963783,2.4724287255528843,2.4341059836576866,2.503021366270603,2.5849791023287287,2.5031031102288512,2.7949304700048883,2.5482399444734756,2.5133304489483073,2.531011205215548,2.3676595286846687,2.299901092034563,2.1708642704685532,2.189973778307396,2.107362105961707,2.1175873143851733,2.245806706415471,2.2618138730974917,2.3107374051572123,2.3178603411323677,2.4821578110183022,2.4286400617698076,2.501716354459463,2.556909352191898,2.5894876398841657,2.685564338520307,2.7292772783037385,2.856199335773167,2.771711429628231,2.875465827570169,2.788025824669201,2.5901637892674554,2.688174834487696,2.6017103458151003,2.6026964583144467,2.6357779877106893,2.464248418087619,2.456990716874697,2.537601537281968,2.521069061279483,2.7028514331365807,2.5718385493277958,2.7276511497081377,2.5775491176917886,2.525465606374444,2.4666365786649673,2.5003560345494593,2.5212277649006904,2.477799945595579,2.431292536222085,2.3777051487602545,2.3345224634380073,2.21765934818616,2.2493782635500588,2.3298300438027653,2.257605700008245,2.434481399408478,2.319643091353245,2.8896065323855193,2.478871319590604,2.441043616083251,2.4111246176432215,2.4587729668057654,2.4274133558276003,2.481129913912555,2.3283772741436253,2.229354339330858,2.382668468816426,2.36961389885326,2.4031160287577973,2.4529576049000483,2.4133382229962446,2.3944381049648915,2.3273223792671525,2.506535034925081,2.3386768836411123,2.158915926340153,2.055537435832429,2.0250178717461393,1.9051315234864141,1.9340178425611096,1.8086912598826357,1.7189448075958331,1.943146512762092,1.8563556199181448,1.992523672529397,1.83496640101941,2.271603003431665,1.8653073461187448,1.6675691517094877,1.5432159435248924,1.5101325727483836,1.746650192814032,1.594723091922048,1.713154251182236,1.5975251819466652,1.7710637278105446,1.8692026466276177,2.0036716486163573,2.230407876048685,2.425878932572031,2.595263241362766,2.283853861709064,2.15020259149494,1.963306791954915,1.9052354475152509,1.7158621700448857,1.494956587303557,1.565642387492046,1.3774124685615745,1.5362372467994827,1.5216461721547985,1.775809363433078,1.4683194177328396,1.502366612094869,1.6764028085336926,1.820865873566563,1.787561311040075,1.8264518279237025,1.5664327953456194,1.853317269805125,1.9646028410321366,2.098135589662196,2.4255883195164962,2.7432384425355276,2.5314972151559667,2.3563921308454017,2.3610999652519684,2.2998049278091273,2.187275437930425,2.049188834642993,1.8847312134287943,1.7151928816472164,1.5696889543269992,1.4660274476645303,1.5973677908010044,1.5262913987648508,1.7065749516975888,1.6574371745649146,1.7602931284409276,1.7015000148403499,1.9304175335488643,1.8970464781749683,2.0106735343619744,2.2406344811321546,2.2482093489423947,2.3112414924849487,2.2268501151855955,2.063552129981143,2.0183535470864298,1.9645504221013368,1.7785299252988584,1.8679466286644455,1.8530489126061451,2.0039863193567213,2.0995616075032144,2.1188550098655856,2.1728512194612772,2.1376207556645603,2.158519753727245,2.183389823155946,2.2487369927149943,2.147648460800057,2.2128092530260695,2.0414340088507963,2.0419516363535313,2.047234029040352,2.076545575477794,2.2582033112598796,2.5025812989688907,2.4094864787129384,2.508857857195964,2.2731277774776797,2.186430084580284,2.0642930130684416,1.9321452675801438,1.8646284695002597,1.7430364407534333,1.711382528398063,1.4610299046379684,1.2807307902679523,1.1046446739517246,1.1972877116996699,0.9955342626921351,1.1311969490115872,1.1611808334921423,0.8877736830293076,0.8740855326145716,0.9871723701811229,0.7225492489705371,0.7092968026731362,0.7640120518109623,0.7599426858060855,0.7254730849861438,0.7466453462526451,0.8094850990168754,0.7848849443662091,0.9487588120952104,0.9858769102476069,0.9863351207623546,1.0987001662932847,0.795349523692126,0.7930641991415631,0.831124897467893,1.1024140300407579,0.9944902439187724,1.1222947608891907,1.2710992934410381,0.9028090940838047,0.9861238672539616,1.0733966711700014,1.0602305600901976,0.8488893686808001,1.1471430721471243,1.1420680891848294,1.0099684448078687,1.0135517889261594,1.2357711749814047,1.1300858268537353,1.0805911835531226,1.2284941882916702,0.984572153812699,1.349855892463285,1.2503349868079807,1.1625451577552985,1.4073382942370745,1.3251569765913953,1.5716968895477101,1.3666815882181125,1.1909388720736398,1.3942192136064377,1.4105290967125121,1.069139898494742,1.060540457848683,1.131437580483161,0.9395865711405875,0.830206605508552,0.8961217544111157,1.0540916230880453,0.7829615053454494,0.7749655667880546,0.7313202946714478,0.7351011186443321,0.8148075925111639,0.910791518282024,0.6801796643696442,0.7095452152032858,0.7835478199244772,0.7271011581866647,0.7243724837436214,0.7488048322533845,0.8045945059298302,0.969682320102424,0.8619492551851521,0.8650986554550353,1.1439732050959641,1.373069026078744,1.1313715094919348,1.0535385472721197,1.690382724447848,1.8484425474339097,1.4292860919959467,1.2001791621992843,0.8585801084938519,0.7853205218875384,1.0833868845992944,0.8662842552722118,1.0017008686863518,0.7269129291752127,0.716889492685176,0.9530039243005075,1.1141385290414911,1.2855975942996534,1.0752927757327941,1.3432533721551305,1.2357769427685799,1.6371479164422105,1.581122768964083,1.017550139473997,1.50222086100572,1.9952719301570152,1.1345541059499769,1.26787115465267,1.4794120502087578,2.6265441498995137,2.85140901707475,2.9550813213252423],[0.6914762175026592,0.7005863731876857,0.7026924069912388,0.7348334746304541,0.9429979053201173,0.9093260371174716,1.2299224143728364,1.3543952740818301,1.3519571635961714,1.628227739494462,1.6742027285341903,1.70118989030067,1.9302718799238534,1.8979321167355507,2.2023801949741157,2.212919897046227,2.2790107394818833,2.517006792671296,2.8176913191194783,2.7664910820906234,2.9181795118527214,3.0248012431012334,2.9965139830515573,3.315990144369585,2.9859360589506134,2.8985695530558684,2.8522902882275996,2.6101809744632245,2.5224042064206293,2.3459497431177616,2.436053308625328,2.2790352120733046,2.31538871963102,2.503596329362658,2.4982435404598293,2.569172255274454,2.514214454746098,2.749119327251288,2.686550875602408,2.797202221334762,2.8949978634245754,2.9642561308136925,3.1048059329645654,3.1519397059539584,3.3584765141474504,3.2612710200467308,3.3726372749910922,3.243401069855498,2.984962526086892,3.1221844086701025,3.015002847292794,2.98409557827396,3.055529781557614,2.816428441423259,2.804815885883643,2.9805811636301884,2.9600875546390992,3.096360191265322,2.9943374706367036,3.16854880124122,3.02976541653485,2.9740514024109665,2.877978658221102,2.975745570376251,2.990231325996042,2.882032881995576,2.8434371131997875,2.7348176040891414,2.716620679582667,2.5377968618471063,2.600680696340549,2.7288431150359274,2.636495635260113,2.856225317616013,2.6784784927174274,3.255832105297388,2.8612219464451085,2.8058930857871154,2.7619824283136385,2.81991233616986,2.723032485738401,2.765518528323928,2.537594735869656,2.431515792957286,2.6029542259970295,2.5949406382148767,2.6886872003457736,2.6807629392132606,2.721008998970194,2.69365790138089,2.6439943793317555,2.8470313855577656,2.652899838445156,2.420570630668151,2.2774166553663013,2.2550693759276657,2.0947898840452615,2.0944688115088415,1.9219170901840543,1.784262100659042,2.0489169039921102,1.8959220062539037,2.087459315798701,1.871458181043598,2.3393964810372885,1.8600266863414836,1.6294762790190795,1.4994500559386157,1.4455507231356497,1.6816117211380448,1.5318656668193296,1.6917870855013366,1.5797917827424057,1.780909182182274,1.9374629118307638,2.0790275698524696,2.3894170440018887,2.6170521648679927,2.920645282315222,2.549027622209344,2.3839430203340743,2.1181730171628383,2.0026476484591877,1.7633947716353737,1.501777403169022,1.5447341053067005,1.330267802225775,1.494805534605473,1.4734308786852128,1.7619325170842681,1.4468536580698221,1.4951442389290697,1.7259824763912077,1.8643091754879626,1.8351069746826931,1.8447697139702892,1.5484660869557842,1.8528263166443926,1.979890309027001,2.194386124124593,2.6296344247624233,3.093197966133332,2.8040544065973405,2.545107241373147,2.594274255209305,2.4827908228620488,2.3150206514794323,2.140859056294971,1.9314849772420617,1.7323029450340122,1.5542150080903354,1.459409745526867,1.582553136453109,1.5113798958282494,1.7228870037236719,1.686603226749068,1.8102263563840086,1.7229734397780199,2.0030264794089008,1.9349983472839525,2.077378403666359,2.383083436643158,2.3894714335657636,2.508597620003723,2.437784520308034,2.270155840699901,2.1977251526174872,2.193622387549853,1.9133901659620582,1.9810734441874807,1.9385895255730714,2.09139857371355,2.2270027541524886,2.241187343409381,2.30561476125013,2.246402092073247,2.281967723009942,2.3124180815611868,2.4096262120335474,2.281566088718986,2.3671426650481506,2.113335689011218,2.1482012876411614,2.1955438333521355,2.244101755656409,2.500861089522508,2.7781970481065636,2.746269854794645,2.8921189123289386,2.5882334506317126,2.4767423394473496,2.302004441937793,2.119638372897787,1.9975142621034203,1.8378447542364635,1.7963166382577824,1.4880630123600505,1.2757659704367061,1.0777743364767791,1.141305603495428,0.9357963391763983,1.0257312294012582,1.0664426731016443,0.8174877426645403,0.7823685461942887,0.8694340436553517,0.6950482078338879,0.7112010821540174,0.6821682408013153,0.7020875634223059,0.7749101025979722,0.8145958080685444,0.7776890818791935,0.8699312479217055,1.1264664305222543,1.1502756661712112,1.1822157223788001,1.3480041950451962,0.9754854042309363,0.9731325120768406,1.0528457191979008,1.3360146283500796,1.2002403287396632,1.0615189915699474,1.197801170781759,0.8872663562894747,0.9619864236961421,1.0404013223810582,1.2012208852284432,0.927698579940322,1.0761499869492979,1.1584783172796738,1.0391406343014116,1.031583367731033,1.363923166517481,1.3334860687669188,1.182125410650351,1.3302617530295326,0.991913371060887,1.312620388958568,1.1897657344604091,1.0661914882286525,1.283102257974933,1.2035886116944232,1.4603545203079515,1.2530202243531896,1.070676613683659,1.2526803555400485,1.2831353063629252,0.9274652990236584,0.9051550670101958,0.9901587218553948,0.8115573073172944,0.7260039579353302,0.7749432979977906,0.9556155437802382,0.7447741044107847,0.7557349669761363,0.7441036374321813,0.7014520908501024,0.7273100951779268,0.8462618946904481,0.749604763192125,0.7179537932185881,0.7779127095478583,0.8289478138895615,0.8400599497957968,0.7948293825441871,0.9925453804595145,1.165796728239502,1.023727704008642,0.9970970569969451,1.394866324051126,1.6298150929760686,1.35025709994084,1.2448480215908404,1.911949744658595,2.045490048349669,1.6885537890533837,1.392896383648416,0.9891870643136551,0.8525464675595295,1.1856096497235153,0.9667332620030865,1.143394978422902,0.788862508767713,0.7521440639024127,0.8993932684658741,1.0570301825095392,1.213466545172708,0.9871065023223008,1.2199779551317649,1.0745291759366586,1.5060858385118567,1.4590641219224385,0.8803638993661582,1.3357556678316136,1.878603394093288,1.024451481386975,1.1745651477781192,1.3489931753388769,2.3930289661152457,2.5772043268098472,2.752785104705452],[0.7455809791187668,0.7787321007539681,0.8023370945104528,0.8402572072223712,1.1035107820122512,1.1028705396007172,1.459484073190562,1.6389307341787382,1.6063991982776706,1.9014472004670664,1.9656223389012535,2.0210592808174814,2.2690872857879203,2.1957223818730984,2.5529377610285566,2.587386190887756,2.6486733084571794,2.914185339544781,3.2200050023861873,3.192633610659685,3.3399673177541387,3.4488727192293114,3.4039305632051033,3.7321507952278727,3.408059413004681,3.3070238801082987,3.2720724371473997,3.011017217452388,2.9313401462750277,2.751545582679615,2.84293785655072,2.6965049585315004,2.740707644224153,2.9357874660932763,2.936390840998377,3.0022130086386634,2.9461150830503793,3.182419347995824,3.108027064890612,3.215880071158945,3.306756640048558,3.3958701568562355,3.5392032217348377,3.555474214780752,3.7263055023539486,3.5805641579920398,3.6726074520284784,3.6075840050382917,3.342977379504672,3.448624549805102,3.372793056620595,3.362627913018729,3.455633660906861,3.2332789695864457,3.219325276986525,3.3982127060956375,3.3826649476368473,3.540927358005841,3.4282905831507415,3.5560117503018636,3.4428296809272774,3.4036673964452793,3.3132251971659024,3.3921111610553463,3.408039104282736,3.31517831354677,3.2420239961808677,3.1494812021035123,3.101848493011537,2.908787251002137,2.9483244258515877,3.0451653033583868,2.9900561107573758,3.2329561542292344,3.081863643039687,3.6494716890076067,3.2936096986829084,3.246684207577919,3.21183238670091,3.262651668059909,3.17360466009961,3.2020282878455246,2.9751297136487214,2.858737188767653,3.0122695520942893,3.0232758732580787,3.129367889122832,3.1206537226515256,3.1666314945730205,3.1386987422012393,3.0756141496770915,3.259804676893788,3.0679562249562826,2.8306139860697432,2.66809327528062,2.623596214536092,2.454051098040424,2.4805934440520705,2.2956151653259584,2.1605846336292,2.4585797548861366,2.289090274721752,2.5042041015625713,2.2475983161108153,2.709990918054221,2.2043664710587683,1.957597724094022,1.800677853167236,1.7185322250509028,1.9823812078872454,1.7823459181390375,1.9850347525843552,1.870380470120702,2.0700194695709064,2.2482718763872285,2.3668058224258575,2.7242281113240234,2.941713817612283,3.2894151223075916,2.9243301856396067,2.710759433335244,2.4157986376076277,2.2405946422839094,1.996433776490558,1.7335602314447067,1.7713124811326877,1.5560153598906257,1.7444825250918117,1.729867369490548,2.0616183279659603,1.682872118895983,1.7571141810258246,1.977839379311213,2.1703742637959644,2.1024443318696076,2.111336666525064,1.739520021518557,2.0623704236203255,2.1914922423274135,2.4813397689006034,2.889885456343238,3.474249539886095,3.1919272520411903,2.9032665055367337,2.9780641785609503,2.8731105895675477,2.6720204536879435,2.5006572176865576,2.2860060085592253,2.0607651197342807,1.886287102873777,1.7903588579422751,1.935639638921189,1.8017847922052248,2.060004457121859,2.0596648827633084,2.1722548672554542,2.0891470652025865,2.3839059406445644,2.3078362733964233,2.4332659696340766,2.773516500301283,2.7371490298243617,2.8847872004546002,2.7583400604528854,2.535746156939498,2.4359045416699696,2.3638804348522235,2.05867925231167,2.145375622361654,2.1540138955680885,2.353992274458074,2.5494581668459095,2.5963942152804314,2.6927086270250653,2.646319633975347,2.6885334678570034,2.7367965692309175,2.822998849157331,2.692870928239613,2.7376231306814827,2.471418836872106,2.483174992775444,2.5073020498513454,2.559775337827087,2.8468725628482305,3.1469702660018233,3.081869812102586,3.2011144733382904,2.873584020421511,2.7179659401903757,2.5797916111472827,2.354198340380841,2.2115777207114626,2.0492727447375185,1.9660453610481803,1.652871080468461,1.4584449720353971,1.2337407125117774,1.3376292014788724,1.1024513751876914,1.252980107530621,1.2779450187099892,0.9472598762391955,0.9259494523678435,1.0461607741814103,0.7402620969086134,0.7193497818756869,0.7811719740626256,0.7678737690844207,0.7184573507524016,0.7414602693009247,0.8133922750535902,0.7884101656259849,0.9751910897013306,1.0120496613240715,1.0240941806058736,1.1928714458092864,0.8380385192890284,0.8283702595492488,0.9049173097221522,1.1963981346192267,1.080742964934262,1.1196128034217994,1.2903894997532384,0.963928885248289,1.0599683381819607,1.1801775677324569,1.1579477975694437,0.9382808652130741,1.2565381940344102,1.2714242342782471,1.097172617716833,1.1288040462213957,1.398717672522256,1.286740133728575,1.1967584704863343,1.3633542127386622,1.0980771869012755,1.511260646797596,1.4115646398542296,1.279944322030366,1.5732878841187559,1.490178464059751,1.7745745129086288,1.5328105077860015,1.3251666304287346,1.5430440622791721,1.5680621375717683,1.153828996157768,1.1471462544565125,1.2287803036791547,0.9892959252276334,0.8534324423986535,0.931696337506051,1.0825410467951873,0.7718041522578925,0.7622936150942772,0.7303483344784896,0.7454862542879689,0.8639341903121545,0.9679448612656547,0.7042822667656397,0.7292959270241911,0.836564444621471,0.7804957157776862,0.7629921813268369,0.8000764892336655,0.9079955392430765,1.0593352568132124,0.9386736424231006,0.9477616156052981,1.3160344579203191,1.5449026046581582,1.2568421544807744,1.1490678773750045,1.8354639856779107,1.9728369844141251,1.5631111928347154,1.2798121027516587,0.881753959846342,0.7806178064759071,1.1055666773944957,0.892871987801303,1.0666515034039021,0.7623502758378766,0.7597968917296009,1.0221785287914178,1.2238277593040083,1.4055007658309602,1.16522389762898,1.4659021501144924,1.3420328090509968,1.8177537597398654,1.7059784774420788,1.0931797356133217,1.6332506428431708,2.1593449506516724,1.2360937975022899,1.334490784330302,1.6164918804207362,2.845984146334552,3.0941757387110362,3.2118368719563466],[0.962928783569873,1.012595372608373,1.0329192076744727,1.0454150279427583,1.2912803339996006,1.246941987531912,1.5668089969742411,1.7512412306275138,1.6540102042907414,1.8883679886580738,1.9225058678043956,2.014672299982152,2.249394907644517,2.1074815268502496,2.4353054405033117,2.4976774610841885,2.5537638121574493,2.7449189601890196,2.959878268028664,2.985187217522147,3.042333598176514,3.1547682678907356,3.032461477244178,3.330009468364564,3.124514090624037,3.0556506613298358,3.121481511178198,2.901293796229954,2.8250597352202425,2.690221483237661,2.6892715664585713,2.6321962533315775,2.6464218555674366,2.7926349162871973,2.8275466629890076,2.8685030486519714,2.8863888932062283,3.0806406380580107,3.031046858010759,3.122260209682101,3.177601935088811,3.1914060988089914,3.3084399627230354,3.327336330068692,3.4209735314840786,3.2989323329075217,3.3649970513465863,3.3538978779904425,3.172863526749928,3.238328298247844,3.18398249339038,3.2015203373971226,3.259795004690066,3.0889262717491617,3.057586707974565,3.159448573164972,3.13653515829485,3.3329433593994096,3.1757829753713565,3.263025556607082,3.153012813751749,3.099133611164562,3.0375702823808908,3.036465268072308,3.0718985299226187,3.048149494468014,2.9280742819493852,2.885366905245826,2.77696331845549,2.621446339738922,2.6201865508537354,2.673720728763658,2.6458725590821954,2.854345383191468,2.807394689345126,3.3379003429974543,3.029017069563122,3.0035867492715997,3.00061717441214,3.0591165402440983,3.038780333052249,3.105674939490875,2.939456165554606,2.839146151333954,2.986567169687692,2.9756667264538983,3.010015993553445,3.03102684505248,2.9997061934172464,2.966259314818427,2.866047586932639,3.002639918947667,2.848418082615942,2.6598344185865583,2.52983774908622,2.4723359956349142,2.3394432408151657,2.410433256054356,2.2766359671548657,2.1942549863657037,2.466854781592218,2.3776089453459424,2.551602048747649,2.3503104866157636,2.8185672436411493,2.3431436650113167,2.126156257885853,2.0026290714848325,1.9270340359717928,2.155194286245646,1.9500193573775357,2.1167710325440905,1.9799285180253718,2.1490851822432924,2.2503405928694646,2.352900816439362,2.647446317320029,2.8410403368986934,3.0612103256286636,2.745980715400008,2.528211182606044,2.2915049826084863,2.1375862952754456,1.9632370630196763,1.7669322703681536,1.863156867462099,1.6984353947429365,1.887625184740746,1.907725880113608,2.2268231463141914,1.8710373796236173,1.9538427880666542,2.1291482909343715,2.3127077778363714,2.2379521282776875,2.244321660005356,1.8799702098853797,2.1655281450962263,2.2614452285568056,2.5369086273488826,2.892701283388122,3.3716231866414588,3.079477372406719,2.877481848328515,2.933609356216063,2.8455916007406317,2.678475105545381,2.5268131169615766,2.3599184916981155,2.138367156620665,2.016256942377996,1.899535171897485,2.0729088865100658,1.880594115083316,2.1107672750314954,2.1406467408995873,2.2327471517697357,2.1924951206916043,2.4294104522850515,2.4137248167850682,2.5218268604606906,2.792658780221897,2.775766711718707,2.887923879107336,2.7743154169439577,2.5626130169098116,2.4698833943326437,2.3566947382454475,2.103497141466341,2.2058212177954735,2.2482306159116603,2.442114201554216,2.6215454063239005,2.6671656497833953,2.7430143628690846,2.712508481204139,2.719105727158117,2.7682559530009647,2.84122055214951,2.7473142891789752,2.7845912240607507,2.580621343597147,2.578968372580117,2.572406062514823,2.612390235547691,2.827757114520706,3.087876298290962,2.993328801162846,3.0481078346231087,2.783795019085867,2.629548889922728,2.565714904854303,2.38866952682165,2.2912903799283697,2.161191237633342,2.09956263920647,1.8132587095711503,1.6672590323648748,1.4657740283377851,1.575110338418111,1.384204035270094,1.5341020608635028,1.535651235359687,1.2185408339135504,1.221929442910425,1.317044535188029,0.9774153166231476,0.9609445804280594,1.0722961672701337,1.0092000235327736,0.8949968806935967,0.903901658476059,1.0188792253675092,0.9229438483727089,0.9743542556408222,1.0165364541021935,1.0197071675281275,1.1264245655590186,0.8897288819222793,0.8898145659510567,0.939210634388922,1.1311916976155487,1.1222311506862297,1.4157241868630175,1.5404002727760642,1.238021730789956,1.3526044419796728,1.4890393884691666,1.2926023885471862,1.1532141263707598,1.5507284695530374,1.5113054049409993,1.3086391784574432,1.360556169556671,1.5088553531331332,1.3471753425750632,1.3620334311224065,1.4783946198742846,1.3404769497972193,1.7499699521504697,1.681176664769856,1.5859052376949385,1.8636749726491142,1.8020099530252573,2.0605691577944554,1.8228456071314008,1.6496040130480034,1.845468011905144,1.8561693220637177,1.4615369045896967,1.4672095145696658,1.5331839109561434,1.2763593527806467,1.1617983122764033,1.2213849600379867,1.2877486352983842,0.9994147999063997,0.9867975822882058,0.9521495299119905,1.0344552306660453,1.189111482616726,1.2781666988415012,0.9656336535945309,1.0052032722409454,1.1193165759063801,0.9730703017528219,0.9234776039020975,1.0213584851515247,1.0066545214036775,1.0736510513303643,1.0190270975609712,1.0816308620622999,1.28244743768812,1.449531723606055,1.2205989917594704,1.161696766053341,1.818826950044514,1.9414974490437247,1.4725224647720414,1.2386932748884292,0.9385150603457645,0.8938808644419114,1.1266695648743041,0.9761283261978005,1.111718468860921,0.9382992492464461,0.9756728340891184,1.261243816579788,1.4542374920453554,1.6036373673980817,1.388289685381054,1.6814727330169057,1.5833298312176582,2.012246035503563,1.8735640866208905,1.3055510876458793,1.8171123900707182,2.2821703843363035,1.3899805100522296,1.4138178063823732,1.7738418715404858,3.10690499168975,3.4497152682418553,3.582929427897599],[0.862074649190051,0.878503673898586,0.8827555693603905,0.9172980290817525,1.1635594703944734,1.0789267481914286,1.3919272167767844,1.5307544189989413,1.4756078648366304,1.6999294150422721,1.7297610482335475,1.8069283102267288,2.0150406269130823,1.9016758961788183,2.1995264436265622,2.2410242535717657,2.2996486560955947,2.4846666365763976,2.7096388608260606,2.7327864599899363,2.8243193966016933,2.96600092019548,2.860325947942084,3.1502904342742024,2.9251433731098486,2.824515861609179,2.881078589839481,2.629131679984968,2.5530427821128034,2.4180968814211554,2.4363705481129023,2.3590513982520407,2.374087260651577,2.5370625047791653,2.56137830849253,2.6038236155505223,2.61371654436352,2.82074576437331,2.779728156642505,2.9116857282371473,2.9745004986109516,2.9762224943746176,3.124893480439094,3.169259879076927,3.3296432907221014,3.2494711141732666,3.3248831847492344,3.230467830252451,3.0389783050409713,3.1549718242933245,3.066964411249257,3.054132664993342,3.109068044581007,2.899405739664357,2.873309264272633,3.015358334808147,2.986051460334979,3.1442678035305267,3.004145768382944,3.1417318134267735,3.0022652857077596,2.929050329814011,2.8424272761850577,2.8835621460933885,2.911231816290707,2.844171347671454,2.7369921581849157,2.6533408815110002,2.5566338180236046,2.4002783856367116,2.424583113010782,2.5266029375983603,2.455844900110538,2.6597664021737395,2.58479651657219,3.1342239737315247,2.8103583429058094,2.7837521592644876,2.771980711845875,2.852905345498082,2.7993890454715387,2.87594397348744,2.686965069939073,2.5989002513956088,2.765842756311455,2.7274336840634383,2.7641436713631466,2.7632434920643396,2.751029839894951,2.724242583087143,2.6245194547751067,2.787068676288445,2.6180474099703277,2.417536894229927,2.286785652118668,2.2472718790756283,2.106543124769543,2.1622139622129852,2.0172286359553318,1.9165850737339387,2.190687424361963,2.0979121685317867,2.2748807161741174,2.1012714487474824,2.6047687874719374,2.0998164958059387,1.8686068720111682,1.7444102567459467,1.700575123910373,1.9099958704439468,1.7378384266175058,1.8968579298041113,1.7519833712480721,1.924498705024111,2.0193308481146297,2.1265547585410416,2.3956443878388978,2.571070962837457,2.8177737462482466,2.4887013415417787,2.2955281456913434,2.0732604520913727,1.9434536097410384,1.7823788624637467,1.5882387785055454,1.6801264998272292,1.5222745069111447,1.6968899698693496,1.7108778866134222,2.0019325389455105,1.6858538671027026,1.7474559883915497,1.9588100167164715,2.109606505154535,2.0635368843416106,2.05714896491751,1.7355370607517262,2.0098675759221765,2.0932986892964123,2.332289595616398,2.7142320979764354,3.102063896067027,2.784709641170386,2.6105462862843525,2.69202726853233,2.578208449132092,2.4226605224301676,2.264251177714206,2.103365766593758,1.8951492904856846,1.7647114467269323,1.6491792550660749,1.814796348342387,1.6299248524837855,1.8449384811899538,1.8720953736520078,1.9740558274057824,1.9309545019608778,2.163942605499485,2.151507015380765,2.273030966910823,2.531442325247683,2.5472187724635273,2.668735967825434,2.626663968636974,2.46621851804406,2.39582587520169,2.3596216779649635,2.0756197240917285,2.1540665711933373,2.1336648907152678,2.286053168437357,2.4320774930653872,2.4474604869572167,2.5012844916863757,2.456417885667221,2.4525018237527565,2.4985662399503794,2.594004606965174,2.4947550106587593,2.5725375546885165,2.3514789904247198,2.3798796588971585,2.4110970713688613,2.461017652981515,2.675024677673188,2.923402000848272,2.8789383088445604,2.9706708064412966,2.7141088702383724,2.6019105162976994,2.4820723853126965,2.313722320035716,2.2004496760271834,2.0454468649745037,1.9823918415981914,1.6730955410897648,1.4832045900251192,1.2787793518274082,1.3748337913734552,1.1556613414269208,1.2857323117355062,1.3109990848155837,1.010564975221146,0.987559837426348,1.087532008287114,0.8151113530641149,0.7915340755059074,0.8388358667170692,0.8159227434383118,0.7717345716566372,0.7893905831288162,0.8440825518000136,0.8207439643818267,0.9755843313234303,1.0189198384508613,1.0314782644121046,1.172279259650396,0.8690442049207746,0.8522329211923675,0.923758096521374,1.2245247155744976,1.1219683095925805,1.1840513244828337,1.348077421404812,1.0612465101771615,1.1371138141916657,1.2532042341119327,1.2506808238930478,1.0380359617472614,1.302271994005045,1.3400418854845366,1.1555200893676978,1.1938297159509825,1.4736705036772504,1.3540490653177915,1.2711380635567708,1.4261825598014661,1.160789978058365,1.5329624734672769,1.4324501500587485,1.3030959568600744,1.562583499595617,1.4977517951748847,1.7633455565155225,1.5433770967397185,1.3729966080713698,1.5337720637107548,1.5557212561699603,1.1719947667946629,1.1505409514452565,1.2146996764844116,1.0086222182693503,0.8983344169717684,0.9430250557892768,1.0862107974685125,0.7999788811150297,0.7907937151199024,0.7749316947793126,0.8205567943844998,0.9354829718455,1.0448444417024263,0.7941287602801357,0.8081955774290563,0.9198585565167996,0.8569131192764102,0.8304556118948142,0.8763779999850729,0.981467083395545,1.094952631576458,0.9768176843442782,1.0011071198743677,1.3393871624213376,1.5509272387845583,1.2499188712478044,1.1474323956129342,1.8365428784232978,1.977097312066915,1.5369559777904058,1.2639365258888524,0.9070946400232671,0.8139872575260955,1.1206995983807841,0.9259859256362571,1.0636367912869447,0.8057151432556029,0.8313528706287094,1.0957078590838816,1.268141585260248,1.4230510555782274,1.2141457224762318,1.4236989912669487,1.266747228390073,1.7110171106937104,1.6186404660849225,1.0262437784915834,1.4624527455118066,1.9913743143531437,1.1671754278712927,1.2031781404701931,1.4453679043767156,2.6073391637732746,2.8631330243318693,3.0945723237091953],[0.6994138809120126,0.7183199799520281,0.7471638431812745,0.7751088943444684,1.0530467516273976,0.9660271025381088,1.309995340753964,1.4585533333680691,1.4258803208821336,1.699018027500896,1.7545576781261687,1.8140610952535572,2.0530282128617223,1.9642572022620874,2.3042511826239997,2.3393230122576223,2.408108996087523,2.66192796276769,2.964716684366223,2.976056392949382,3.1460400315620802,3.3074795744747747,3.2480187071273963,3.579056865805969,3.263469749154417,3.116074613429105,3.097025353486692,2.785127281378346,2.6957303561396495,2.521597706512869,2.5995008187286737,2.461469861655058,2.498460189269204,2.706143548614375,2.7173849517449473,2.7817217929407465,2.734104482103001,2.9962195289523046,2.943230904989548,3.106333198828833,3.1963578570430715,3.2446837644306785,3.426524686513972,3.470253368878134,3.690274506587382,3.59702073503931,3.6899153890967944,3.565380840708668,3.3148795306343013,3.465434533813539,3.3620913953979388,3.319998498862729,3.4057574889437148,3.1380213731301723,3.124451730328058,3.3412928262938686,3.305975825785488,3.4197908106965826,3.3260724823068717,3.4830900461119616,3.3498860098807643,3.27777690559994,3.1586613811818087,3.269414101166195,3.285043806277806,3.1531798601673064,3.0648408813989465,2.918242033288986,2.8444651579543665,2.6335442297680554,2.680362000884299,2.808410923199298,2.735438868411901,2.9812967908374532,2.848035822743392,3.4261749123457514,3.0968236847764117,3.0539799719588125,3.0288488853574127,3.1223949979490015,3.0050798987516583,3.0686532051534994,2.8112358631212313,2.7256744665997616,2.8990074804206527,2.864208892232539,2.9601132221792263,2.9201470427218927,2.9695153133059615,2.9312973988619,2.8509538059518427,3.043408294617986,2.8371465836696426,2.5899886230063407,2.427080890230521,2.3868367097241596,2.2159376717370796,2.2487429898838016,2.0600710105563085,1.9202515457085754,2.2331804899896057,2.087553100887198,2.3074457997902447,2.084784808967216,2.612504765529586,2.057936065330874,1.8099962565072096,1.684595088438556,1.6181075680035935,1.8272838689123194,1.6540861917288174,1.8429296912430182,1.6999086619925636,1.898088403587055,2.040034093364837,2.1615601684870986,2.4934777828701047,2.6945901612050354,3.0501040230443808,2.6703880142914556,2.4520306562254346,2.17128748684469,2.009156179229744,1.7970333305086896,1.5601806048532432,1.6307410576215071,1.4370514699430217,1.62832638776981,1.6396115769874022,1.9545848127710774,1.63765444904729,1.7105486077722756,1.9571217470443878,2.104470793778631,2.05491681628088,2.0274471506540275,1.6876006663306091,1.9725883703772982,2.0701949880053445,2.3526765442969637,2.7888756044641236,3.3028777782666086,2.958017211883211,2.7123745675170077,2.8241441292161067,2.6805006479184614,2.4823646188378676,2.296985141074824,2.0994949089626274,1.8673759112325083,1.7082992403691755,1.5915141512002284,1.7492418576373732,1.5842231265502325,1.81644095445766,1.8436119803293276,1.9646147784546115,1.90270848152571,2.1783237220016822,2.134580967441606,2.279922255432214,2.602843065379217,2.606132928033602,2.771965757602018,2.725969989559984,2.5482971434755117,2.472564130866057,2.473320929974616,2.127096002959158,2.174105166541886,2.14363065121024,2.295433786438172,2.476663146833753,2.4944725945153547,2.5606340204921376,2.4980625348289345,2.509049642349253,2.562896766535441,2.680892938061179,2.560902941690306,2.64901714193448,2.365402899792644,2.424951115072173,2.4849688125275256,2.5434550770168607,2.8249362968534273,3.1018194933566607,3.0979512099861823,3.2309341972419507,2.9241602940105307,2.798264887323012,2.6263723295668364,2.4145951735865223,2.2587018649257784,2.0813243337245866,2.0053630262885127,1.664669820199317,1.452948321721675,1.2369833815621245,1.3025076208003272,1.0892235602653682,1.1753285654831624,1.2025718425215364,0.9267727890880518,0.8855687312788375,0.9525207035409198,0.7420085535440623,0.7520723931960204,0.7276716181582702,0.7080609636200648,0.7460511254410559,0.7751060420621587,0.744390554339451,0.810094362558054,1.0684053727987952,1.1240397316854427,1.145862099268013,1.3625471433751455,0.9889981175557511,0.9836525981695688,1.0867117964035642,1.3844824371705502,1.2930655923920567,1.1566021623507627,1.29289457194543,1.0417762697992325,1.1027916108235154,1.2324255658927978,1.3430819497819457,1.0903967251544597,1.2544749542964377,1.3586161845776978,1.2004391747210668,1.2066881653251893,1.5422467662685317,1.4932236042406708,1.3356345265775342,1.477511112976053,1.1427936970929942,1.477879590060123,1.3702327038811986,1.2175879487371288,1.452274699264082,1.3815332152136606,1.6463943556374794,1.4273753502504676,1.2433010186902735,1.3868659099506733,1.4166693983374916,1.023542585013958,0.9860657664343473,1.0549747478473053,0.8543999650900919,0.7655181621200718,0.7854571637306155,0.9465242049937961,0.7190095608833403,0.736597133230391,0.7488984923248762,0.7610271794299335,0.8430908872848413,0.9762614975966419,0.8237494285023057,0.7818223426294599,0.8971622542984785,0.9234512910567725,0.9024622002158001,0.8938376284865535,1.1121548490312725,1.2339248151821296,1.0877259344670391,1.0957134435267333,1.517536931492601,1.736944265724566,1.4131773086316013,1.2833169840249157,1.9854201500417559,2.1136486229480282,1.7251875549813611,1.3878475625495548,0.9876913726493792,0.820822741567889,1.1686026297517254,0.975807819903174,1.1590417787063119,0.8506029262087591,0.8454879834242067,1.0251893562246286,1.1925404582832688,1.335186788559472,1.1067108851875247,1.3026181438574898,1.1244626825364208,1.5744606493061581,1.5002077774344045,0.8824627404022538,1.308239785099987,1.883804636123854,1.0296957225891352,1.0889449680886731,1.3107266161951485,2.4105298758184603,2.619942613238047,2.885348848530339],[0.6164351037902284,0.6077251812973173,0.6357728732269979,0.6332482868865354,0.8612197628009199,0.7552611814271069,1.0526353648510018,1.1630403981792377,1.1460913243584123,1.3935258934698314,1.43202822485209,1.4713241611126613,1.6892193982908652,1.6355181594051682,1.934856557672362,1.9479767678335567,2.0231786951786175,2.24306033723725,2.5319164597642017,2.51182433896907,2.6678354934401614,2.8191725038487268,2.770307555144349,3.0850966203080863,2.7747469109467677,2.6544993365853458,2.6398525126069727,2.360258549766799,2.2684834506887865,2.101085500329621,2.170904090147944,2.0311589393614193,2.0581715596079686,2.244865338647948,2.255564058988181,2.321594855252285,2.28225529282231,2.528092460465676,2.489262613065408,2.643944736928865,2.7376973136032343,2.7640191013320226,2.936346557005249,3.0069217505148997,3.2486990051809097,3.193462125744431,3.308222123299642,3.1222607553819817,2.8761166078605855,3.047079923251054,2.9308562893561114,2.875071919833989,2.938294125307875,2.678649514481701,2.666154846408942,2.8511181717388534,2.8195703738491193,2.9333904361872745,2.833348882816245,3.034286943616298,2.8707629688162513,2.785114181209019,2.661205822834483,2.778755536192052,2.7915478295973455,2.6617981378686992,2.5983421910043463,2.462334516963558,2.420944512906665,2.2283736503609295,2.2943387707578817,2.44265163314806,2.328454725680731,2.565855554956341,2.396092453350757,2.9730898978849942,2.615019121172617,2.565753855262986,2.533438832822216,2.6195215480359693,2.5177885353887683,2.592041496926549,2.3612923636278946,2.267523728996885,2.4518643340998025,2.409117122392262,2.482536857202296,2.4561521980980916,2.4896340505371826,2.455045267916818,2.3858175180570393,2.5815135588432616,2.3882838323069153,2.147207306396207,2.007883570118446,1.9837002656164302,1.844194680564172,1.8426667861682122,1.6722913387974683,1.5368995719163168,1.8179065553808944,1.7037728840371456,1.8836135053750271,1.7029496724089686,2.2351523461086154,1.7196154565110597,1.506862976027676,1.4230348123884315,1.3592827996214556,1.5207951055843305,1.3966435658533707,1.5354773240983277,1.3939606450223347,1.5853697626973067,1.7076174798947379,1.8447755870793165,2.1357684610033294,2.339581584057753,2.653164387309861,2.267282350996231,2.0924960383102804,1.836778896214391,1.724694893818697,1.5242000237877573,1.293274332352046,1.364733240569928,1.1826993851725476,1.3652266094222711,1.3807738102389762,1.6567563583252647,1.4093955748650355,1.4693904043123724,1.7079245666251888,1.8010970279505853,1.7795457320493224,1.751270860032105,1.4888006550760644,1.7353678567207433,1.8182738831426293,2.033135848675367,2.4717099486565837,2.8656910296387745,2.533374630962021,2.3232807955874475,2.4117027579223036,2.2665011010797538,2.1028058482306564,1.9218370043533517,1.733835599955866,1.5241579487404395,1.3653080441485228,1.256274391390053,1.4037523827311165,1.3432455433743595,1.4869489446373425,1.463530331691036,1.591216622048407,1.5318964309300478,1.787079086531663,1.7623102152673984,1.9164739822704282,2.1910370093392086,2.231208622560419,2.3650924747221103,2.36258179533813,2.2338245733083584,2.1899790058053616,2.245083691152479,1.9470320354150201,1.9759664867285351,1.9042081305996417,2.0072259412552014,2.1295602622060916,2.1213740111415156,2.1571083053789657,2.0890398605037808,2.0831412172691426,2.1263621200882366,2.2483382763710607,2.1374939356782536,2.255714545157978,1.9952997494790825,2.0680238050053874,2.143376546327781,2.1929515723564528,2.4299979361268065,2.6741685235043176,2.7066548234484857,2.8377813413802584,2.5734003248520083,2.4910001112571445,2.301655818768727,2.142163657608677,2.0142274163962526,1.861086123499979,1.8489320235695161,1.5180944246390184,1.3031625188019516,1.106893214947492,1.1201734834349666,0.9558896005697117,0.9742182305151046,1.0002057523501366,0.8151896296755629,0.7757477463832158,0.7812262873733082,0.6755723064894873,0.7497581632164565,0.6587426636871077,0.6461104034255186,0.7789892143019198,0.8265053201378857,0.7068202232823164,0.8604886415721663,1.1671369580934448,1.2158000453280142,1.2435593388351327,1.4707894075827,1.0851010130257408,1.094140262503944,1.2021310664603582,1.4922653190310946,1.383651156951627,1.1494767525795928,1.2490850458170344,0.9995901071175026,1.035649137150102,1.1373591562294378,1.3825530225592255,1.0921726679369848,1.1298084002722584,1.2954978021893024,1.180632969257453,1.1450820790947125,1.518390617736609,1.5152172574515395,1.32369455214922,1.428304934908556,1.0650371588990726,1.3219751180529065,1.1956593821402868,1.048108133849526,1.2139638069729575,1.1677977560594959,1.3546259286658655,1.181958750953908,1.0418611406779463,1.1267416391333256,1.1591649402619466,0.8300169773552373,0.7862697645394516,0.8453151833237933,0.6932116765701424,0.677194458344907,0.6696665551196067,0.8614818515664643,0.7156712956550679,0.7653258998665051,0.7952543506906874,0.7647527075179007,0.7697715380226763,0.9176543023240971,0.8933301662153929,0.8009633603288434,0.8832027441300279,0.9839855993362575,0.9748010129060786,0.9135643487884016,1.1818870505335677,1.321948206935381,1.1664177778775586,1.1431462176278058,1.5843239335813082,1.8111328558041442,1.4906602254917642,1.358108194712447,2.033106071836724,2.1507822815323414,1.8030034299168274,1.4610581458244305,1.0562479186174871,0.851257975924771,1.2145241835559906,1.0155187375244845,1.2168880895578185,0.8616153043537219,0.8344780136338649,0.9001114136209287,1.0303897923616059,1.1349140573953553,0.9300423354805414,1.0593000391617498,0.8745336389101781,1.2592830216350366,1.249646856810096,0.6724124056085841,1.0158351835754211,1.6063224374072582,0.81503921203357,0.935536014164131,1.0557627399361444,1.991054096333379,2.16008719845756,2.5270275809735483],[0.5422098672450708,0.5082164998579615,0.5704534603033576,0.5092988593051346,0.702422413359601,0.6288031197413446,0.934395429022112,1.0304479968886293,1.0577558913553036,1.3459317036152945,1.3962896488482641,1.397604780067109,1.6297227532025336,1.6369446574235011,1.9408235301317898,1.9309023236485638,2.01295107785844,2.2727239923044427,2.6187480211170673,2.5529254683825657,2.7578220773294744,2.8892475119392884,2.890331300968134,3.2278225298585195,2.8462825678112793,2.7326740329943955,2.644627530423833,2.360987667491301,2.257712565773853,2.0529683647751327,2.1763880601439296,1.9770265486964724,2.0146694243686567,2.2298047679843656,2.218734407708488,2.3045919969320896,2.2193244242575383,2.4920753461454623,2.43731638484812,2.5784456791019617,2.704419081578846,2.7792168915806483,2.949451037223671,3.023296194757026,3.301061475013157,3.2319371221495645,3.360347497663668,3.1558636033481733,2.8624051905969847,3.041133493198104,2.9086259755771633,2.8453338065737763,2.918835453562588,2.6384014575261627,2.6259161422797663,2.8539015605145948,2.828739676985384,2.9198287657718542,2.845021534930968,3.0746342667490594,2.9137015705875764,2.8418585247859065,2.712656942878429,2.881434039810521,2.88231637504294,2.714347288092156,2.7007475032310846,2.5358857475837633,2.544693875427108,2.3333940275894904,2.4293745267497635,2.609920950073522,2.473146754422451,2.7153486202589834,2.484105205131031,3.0755809091878943,2.6669855448247852,2.5960326887217597,2.5397377620506623,2.6177707556105454,2.4741651253649484,2.5270973152442084,2.2572726944830643,2.1548054839061868,2.3500286691480436,2.3220794072317688,2.4418962609695645,2.4037803110201517,2.481201847393235,2.447511693746837,2.4076174641713273,2.63517164484488,2.4236602330426424,2.159355443401824,2.0085747493134103,1.9989768851535619,1.8416536589063368,1.7969290069123212,1.6014343290903916,1.4306351259057388,1.7080650537236384,1.552819270788918,1.7467798568729433,1.531642819800144,2.04688619757454,1.533206775450955,1.3265597438474295,1.2508491713122192,1.1724973346152014,1.334087074469449,1.240390100636185,1.3825074615983215,1.2639840683411259,1.4822847064133813,1.654677600508076,1.820857669202381,2.1401131222737537,2.3851835535046035,2.73711054692602,2.319038622543194,2.1637261473817593,1.874718526448073,1.7731373947926268,1.5185581027383452,1.2416484994907895,1.267210173960079,1.0315895459044868,1.2130939236497467,1.2113032679456721,1.479200087464586,1.2485388002999438,1.2950549456627471,1.5438494036602526,1.6236283051179279,1.6184968847456291,1.6040827891910516,1.3615213114514486,1.6280018961507374,1.748984750868597,1.9569936500246625,2.450550971886829,2.8890152399091384,2.5692231145324373,2.2973296934809384,2.367874821470714,2.213267725213482,2.0385195887252348,1.8342063642758504,1.607875168619311,1.4038077997248846,1.2086868494758827,1.1048884813839501,1.2276741490975165,1.2590040863035337,1.3814595025189893,1.320667916380901,1.4669371444143096,1.373129983850366,1.6708626516444638,1.6032426630605596,1.7771848885767902,2.093188497621042,2.134222326478701,2.265880531012216,2.2474960934080936,2.1206816554711176,2.0642308056945695,2.141580484279044,1.8360625700746724,1.862839447232832,1.7713038454914825,1.8810895474747829,1.9925893485843984,1.9802842014898518,2.0216862907797895,1.9412329989295125,1.9697655293271277,1.9948890031952162,2.1222776945276682,1.9814726192198862,2.112449536370113,1.8241832806521363,1.9062178918198023,1.9930095547356919,2.048106407647465,2.3200975119415723,2.591441116814298,2.6303240940410495,2.8011293943094127,2.4963261720694954,2.409471294943359,2.1876926832554786,2.010267923027027,1.868958158876335,1.7171126600313507,1.735117864035633,1.408958986760366,1.1836602595549295,1.0061789923144409,0.9798643656174063,0.8443964519234782,0.803521584611333,0.8313201930783124,0.7187919203402702,0.6886938235758691,0.6504159515047181,0.6474140473659085,0.7892031992003102,0.6511643546884065,0.6512432902145214,0.8742158559915945,0.9566558748568453,0.7893738067374402,1.005058122597421,1.3542830197665625,1.3709661840747471,1.4410050987465437,1.6589030769801332,1.2433625267009685,1.2854024693851853,1.3968605383350732,1.6357216578272256,1.5195572381890265,1.1750595810882243,1.2874237496504883,1.0272115044881605,1.0217821733513734,1.0910201004131082,1.4161334173189468,1.1063607052467463,1.0370374124023103,1.2715645187631208,1.1875377010208858,1.105608928300981,1.50007541071177,1.5781065162602173,1.3366179748408271,1.4126249318404953,1.000896492759424,1.2059000303064158,1.047781767871207,0.9186927043921647,1.0148924037836382,0.9848728200293076,1.1178596641728968,0.9784173658844844,0.8517627876485084,0.9138259676006428,0.9524272142076832,0.6800658072666778,0.6562008118631365,0.7204372535634059,0.6177920452799186,0.6755963746680254,0.669721643959834,0.8769666735147887,0.8177457518233322,0.8971716999180415,0.9216900315093868,0.8333757701099594,0.7318024645009839,0.8938041826846773,1.0084386666261094,0.8627942494733516,0.8925301314150911,1.0889561153165612,1.0969701225629542,0.9542992948354336,1.2714971337750438,1.454664807670732,1.268260299299431,1.2194223687368486,1.704394918627786,1.914402970979122,1.6093904176480167,1.4743393052944318,2.1306798919553733,2.2193211987477532,1.9653159542354555,1.5809374454855754,1.1580016378332514,0.9174438223704005,1.2623486024028074,1.049621453179276,1.2867201105678876,0.8888980273997148,0.8346379964224327,0.7771070036121662,0.8942715437880607,0.9831899819625897,0.7653844342471864,0.890560590585401,0.7134543757516768,1.0812122859606423,1.1215120858370982,0.6094576692082713,0.9200173475966266,1.513073290199752,0.7148193167738446,0.9385350315806303,0.9837780645010491,1.7795370568435538,1.8853704556826874,2.2818812307443412],[0.6076256900664434,0.5623972439845879,0.6267729755786045,0.5085521571662514,0.6383625342010681,0.6042975640233493,0.8446108035488619,0.9101679936065818,0.95187280372653,1.2244114483783983,1.2661545909099108,1.2506473307222814,1.4598917379063532,1.5060387298784548,1.7688057393751204,1.746528704870944,1.8271967276385648,2.063617680590585,2.3978845604078365,2.3016009475171995,2.4936574336506157,2.5953358858401785,2.607551751518965,2.9467628322121397,2.554291684347479,2.4810178476205293,2.379261691621942,2.1335273132919683,2.033942151267735,1.8345527827159058,1.9547704618759634,1.758923258580502,1.7859002789413365,1.9815551837332326,1.9642741694218344,2.052532876325755,1.9688366228819176,2.217582668119573,2.1636739054667666,2.2745467502083256,2.4070765399676346,2.4870394967681237,2.6253727498234363,2.7133724497634852,2.986033307701533,2.9346995644851295,3.0716551492324022,2.8501526476211607,2.5649032303374084,2.738117183929643,2.593212328295313,2.5368237331564094,2.58038840877321,2.324770744980801,2.315834413120233,2.5058153896429234,2.491818035341021,2.59435740536137,2.5136441389707365,2.759846068738461,2.59193297195675,2.519268116244126,2.4044994619024886,2.572049509064409,2.5680821814813624,2.4175783100620603,2.4410499321882493,2.2959724353689053,2.336819226788676,2.150571829796393,2.2605955640749533,2.4425122630960323,2.285784268946586,2.5076507155524617,2.253144781184312,2.8463694426041535,2.3862754651635476,2.307889491928368,2.242757562215913,2.30069435755199,2.170828772865298,2.2213855416491968,1.9814829040309418,1.8672445561994728,2.0676156770845475,2.0417208056375715,2.153759671033255,2.135921897855574,2.199597555238964,2.1727247363222837,2.149246805533829,2.381665942542348,2.175638020664332,1.9301871329311824,1.8025181562408126,1.7993618983232549,1.667196330244488,1.6002741673174503,1.4182965471159592,1.2547354774525583,1.492364339935697,1.3560745947162316,1.5117625588140942,1.3221874262110749,1.8008864157695166,1.3517401184260622,1.185532988629748,1.1215999213115206,1.0495798599338921,1.206340223470987,1.1365518160826473,1.2345550751980665,1.1256872929557493,1.3349991674399166,1.5012887565387907,1.679071622796634,1.9704755686252724,2.2212069865771884,2.5330307886131473,2.118939131662255,2.0025533262301516,1.7392692729423997,1.6769862409860512,1.418094325532482,1.1418402083658215,1.1551603398655799,0.921938584738681,1.091570016175758,1.0822185141077103,1.3088602417622137,1.1252523920424211,1.1459736810935652,1.369097003200961,1.4269464014751363,1.4417457386964827,1.4421277215750414,1.2621636124300877,1.5098925482560128,1.62933085056863,1.776077748215908,2.2570846282954093,2.634947379385528,2.3468038862105356,2.083472363067343,2.1169830562988627,1.9780078833855772,1.8311584997117265,1.6373306881261847,1.417602003529504,1.2450288122892825,1.0523019530088025,0.9572741312994701,1.0716505315983316,1.2255666977100987,1.2581704484090253,1.1364126829872592,1.2778417058630192,1.181339966593824,1.4658168088541836,1.3963741350929002,1.5684598918672128,1.8526238108631856,1.9071444719811677,2.0037996537988505,1.9863498091411034,1.8820078574249637,1.84553230824595,1.93375800588902,1.6850931483836213,1.7102252614794209,1.6014471021407448,1.6932216832388054,1.762304552150202,1.738316763213277,1.7697278115128712,1.6901030807311515,1.7304650554394432,1.7411355304622587,1.854869913865542,1.7146130575654182,1.8494595972924854,1.592526402383344,1.673350161199751,1.746965068395453,1.7967804722845506,2.039002649686073,2.2999740028874243,2.3245050276618207,2.51635534250686,2.2238099165589658,2.1639243771519743,1.9302573306420046,1.7838825961692164,1.6684588499911008,1.5396088339753196,1.583796683590914,1.3011868910927213,1.0796570501314098,0.9357976901634356,0.9055912249420053,0.7945100375232038,0.7423794483901887,0.7700468584912896,0.7023984757577609,0.6889434662433411,0.6491732349479946,0.685544897782098,0.8209227950643082,0.707332814253154,0.7268208345376949,0.9416221247153816,1.0328682634540125,0.8773230641695203,1.069523776208964,1.4157051982386724,1.4141594012934724,1.496151054398248,1.6615444860399216,1.2664219311509064,1.3190641699024752,1.3968966708078105,1.63037476112633,1.4750570845681756,1.1575546333905542,1.2631956876067574,1.0026425287078413,1.0292429207218199,1.026152327415255,1.377143054917349,1.0632750508173243,0.9613182759217558,1.1854309141814003,1.128016639319641,1.031322094074622,1.4065826593764565,1.5234269605381257,1.2785556866046093,1.3542197561562923,0.9425852855043819,1.125174212247876,0.9541842926505221,0.8520271623851906,0.9303244640871787,0.918007397631138,0.9841018748209048,0.8887815394816673,0.7728111036482936,0.8225966772564023,0.8625236097161666,0.6607676752307039,0.659165166244295,0.7148887933208696,0.6631234856562281,0.7458771509198397,0.7592490704766425,0.9565913680435587,0.908190547957688,0.9864433462444651,0.9898012012665821,0.8767632384989447,0.7432830330596341,0.8755363896152555,1.031516465497883,0.8860593978729148,0.8806813017405382,1.0818845143902085,1.1009911693262258,0.941519400433,1.2324963834938156,1.4267313821780003,1.250563782920389,1.192954954347027,1.6285452122070423,1.8302354517394523,1.566137954878994,1.4486280776205795,2.0349321626699517,2.1440909907966375,1.932793692902989,1.5876968404572454,1.1860304199571439,0.9678648126679927,1.2817412697663042,1.0575394871780075,1.268870376564233,0.8562744656784091,0.8133276366814088,0.7367175836743698,0.8368873396707506,0.9121346285078455,0.7248090464506677,0.8488634649395054,0.7139493198604832,1.0162337430672281,1.0837535732121655,0.64956277506224,0.9289027271690969,1.4634030785636054,0.7244636430941466,1.0199765293456913,1.0081777996407404,1.6941052506235719,1.7791784544344629,2.1671925728090797],[0.6479064939687447,0.5913437882012018,0.6918579946325898,0.4835145228592447,0.5662315320209422,0.5501615963589871,0.6941854635715867,0.7390157697264337,0.8058704182707717,1.0776609764273026,1.1311479042556762,1.0939111198469615,1.3064932530851912,1.3788765408131871,1.643212965688128,1.6049168988751585,1.698042342052797,1.9567858426512847,2.333375625480347,2.2128240788626576,2.441959066169578,2.552498109067226,2.5969531987008976,2.938891136494181,2.5120007423952635,2.422662743576206,2.2895377095087643,2.0175163357607855,1.9035372340539547,1.6817994619750598,1.8341567361565854,1.6004097662883057,1.6305679852205999,1.850315437717568,1.8210786408930817,1.926890298352363,1.8121290548652085,2.0903907473857664,2.0394465828993167,2.162173751914217,2.3204916653743295,2.411293963685904,2.568097144902248,2.6712182588717592,2.991623147190257,2.9430950450617845,3.0934805396113307,2.8312374200500785,2.5171457723027277,2.7133748913583577,2.5579613094674305,2.477122663022974,2.5279089666916885,2.2402314994732735,2.2371490804015437,2.465573638341513,2.4512535354471905,2.518944255922377,2.4590476911420818,2.7582263165372436,2.5632056547207873,2.4822466941353234,2.3451421086307027,2.559175084121641,2.5519250810701237,2.355977266277413,2.3983023461888977,2.2229531358606884,2.293420481161823,2.0796647458838313,2.2172601987906635,2.433135691395789,2.2457884692699634,2.4922079634300425,2.180311000223599,2.789957118098783,2.317746458437889,2.2249411291868118,2.146599160248681,2.2117005069359785,2.0482276267459785,2.093431774089616,1.8230006729414228,1.7071262589055594,1.9237919504620855,1.895413571048216,2.0295710394350923,1.9852035481163375,2.0881219369959885,2.057249991836844,2.050327584125218,2.301665800329512,2.086667958140603,1.8131557725277971,1.6787770452657664,1.6938808618466608,1.5601569876075823,1.4462711396620282,1.2454795702163624,1.0809523882330518,1.3000253892594829,1.1573515892503403,1.3129820826570666,1.1239624589305246,1.6075048722932637,1.156576410486569,1.032690481366815,0.9990075263133431,0.9100361263471202,1.0051004033621485,0.9771801189100714,1.0491399565502257,0.9470234096440385,1.1649798183480324,1.3554646230742398,1.54455616737067,1.849265354180123,2.114139909027178,2.4707090958029823,2.0235636557125156,1.9118340435424732,1.630674193058944,1.5667316406130432,1.2874575381832563,0.9990999260625583,1.0029271102456632,0.7802953322530235,0.939874847336501,0.9362460626502335,1.1297156956432803,1.0168788700346165,1.041583925434816,1.255938653740264,1.2739236368578677,1.29810800220901,1.2852897736014934,1.1453951207934645,1.3621799273332769,1.4831055557169277,1.6384190432732244,2.167170807478998,2.5541430102418863,2.247661955491278,1.9590757713202962,2.0046261775825744,1.8388157314773295,1.683452386272579,1.469939703845264,1.233915924680762,1.0650483015222667,0.8662441417368032,0.778858033232596,0.9132003282589228,1.1703015418907057,1.1099861720843107,0.9358451029189756,1.0837303311110225,0.9829756815671925,1.27601586038925,1.1959275377288148,1.390059701100454,1.6902714241140038,1.7628421414802304,1.8694691350734138,1.876470853541759,1.7895678850427519,1.7555385612221017,1.887496467099688,1.617002655427843,1.6174854092997566,1.4873922734424687,1.558236290309667,1.6199890284283542,1.584602117580837,1.603993067014179,1.5060932953561612,1.5466087498832208,1.5499934842093839,1.6870272786005864,1.5389816002552927,1.7051127936380055,1.4145510503130783,1.5176446698923456,1.6206195508080876,1.6744550107422265,1.9328315831451286,2.201131957846619,2.2645137356086953,2.4749492377505407,2.173057900767339,2.121496309074504,1.8540537756359927,1.7084420443557047,1.5869169281748519,1.4645220539275552,1.5506014436714752,1.2642918423701448,1.082631529626979,0.9889354952665679,0.9023558008411057,0.9159447144580241,0.7904216710038027,0.7646405971272618,0.8550134647340621,0.9124165784971854,0.7631346783570699,0.875809378521665,1.1125177498675183,0.9995014771791007,0.954544007358732,1.218371138852323,1.349964762938335,1.1266577742427173,1.3323224513366059,1.7204557016836006,1.7173485716633963,1.8475604375740302,2.0143678302893453,1.6327927914946094,1.7214337030370295,1.8351990426676708,2.0233744514448917,1.8811357841533933,1.480496094453375,1.483132309846658,1.3067867163715496,1.2859904765931776,1.298888906815271,1.7452433305084611,1.3634653737238767,1.120459353772869,1.4361909083002795,1.3763018909464295,1.2195062749456629,1.5764584779622113,1.7757800501026817,1.5001483272087803,1.4673467585154039,1.0966889720022277,1.1431559295936025,1.0029416777635558,0.9666661732397228,0.9283561235546621,1.0158880110846604,0.9065113130949451,0.8778204641039038,0.9157916208816166,0.8251620419475972,0.8115920770456211,0.7855882640830799,0.8184312629414104,0.8174939606247327,0.846093179477913,1.0482796224885989,1.0361386944816564,1.1440383844763808,1.242845168538457,1.3624471030643825,1.3713998206322777,1.2661698379073423,1.060012305923692,1.209575242596164,1.4525711074052763,1.2422179356723244,1.2200166299486288,1.4749049247522286,1.4874103975217638,1.26808266451677,1.6109221474453794,1.7977506104478977,1.5885110856166504,1.4874955275140973,1.9862566146181995,2.1851134600229725,1.8856314373769256,1.7288245803083082,2.2947569750213055,2.3480428493369123,2.2380090390912555,1.8192522554273307,1.435123642482754,1.162767532212863,1.4242124326378223,1.2141599484546852,1.4561026934925838,1.0638349301965768,1.0340350637039357,0.7864237541747422,0.8350465172899323,0.8101408569595798,0.7031048026676445,0.7330599044096799,0.6724521866326953,0.7830658886574653,0.8761286494561356,0.6739184284979762,0.7469322408140018,1.1986420895894379,0.6049327217347948,1.0223516490943405,0.8895686211638448,1.2786454618939176,1.38658221521835,2.0010703756132604],[0.5533606569131424,0.5144032365132946,0.6472911683871799,0.40277355130022735,0.5475215258506175,0.47993501198829247,0.6591274879142989,0.7378997605563173,0.7687250890386481,1.0299262265554607,1.0763848497837305,1.0677491211218793,1.2809120647784817,1.3148376511751279,1.5982022959959787,1.5779019928853815,1.6689635644623382,1.9268858018750834,2.284479562300711,2.2020309780980933,2.4267973489946284,2.5696687381423224,2.591880258202828,2.923753065794425,2.528107017783993,2.408927883992246,2.3070130349598794,2.0161503157735576,1.9041947008105997,1.6894903099879237,1.818949868107172,1.6053542717449498,1.6400395632963574,1.8570281512095084,1.8433335979488386,1.9386908852490483,1.8441448963129181,2.1279888392056536,2.084444621086107,2.238327040372085,2.3796240001804474,2.440578623215173,2.6229875854072016,2.7223557232213573,3.0428528389093685,3.003620520863603,3.151609087174214,2.8834736620820376,2.584215962385362,2.7899910097455725,2.643385203610524,2.5560542783214553,2.615829404442167,2.3149565967621677,2.314911867128703,2.539073190054933,2.517172409782315,2.593426946602604,2.5238700623518393,2.807494268889522,2.608106157409244,2.5161095507123417,2.3692747478271925,2.573103333230001,2.5695410901786793,2.377257921656374,2.3824429315382116,2.194815148818225,2.2303020656832806,2.0111596639690705,2.1270770924248468,2.3393207382412093,2.163373484026667,2.410498612061372,2.1415942996403516,2.738065123270866,2.31991469835682,2.2377642967798517,2.176991154145043,2.266964909486656,2.111090553824428,2.1699470258578746,1.8947916637768283,1.7953251348860992,2.006100583059673,1.9605394006629515,2.0792965597071147,2.0295051917755234,2.1168010909040054,2.073756662204894,2.045639248440876,2.2868626273727126,2.069179660506457,1.7964306310327882,1.6514430271061236,1.6500481179803022,1.5180501571345586,1.4335391473315633,1.2396004712436934,1.0687947192932725,1.3272018030041428,1.1912144860670262,1.3724012795110394,1.188986036971016,1.7246876513846348,1.2204182117695814,1.0891537071944906,1.063818184129985,0.976652619352347,1.0504059152606011,0.9862970614814718,1.0796726794401428,0.9555822831517006,1.1651225494869535,1.3227424618694898,1.5001262671169953,1.815242717679852,2.064363137340303,2.4341410644064854,1.9861368574205152,1.849772536248644,1.5607646119403427,1.4775751244972264,1.2222989888377687,0.9438775944060169,0.9781546765225397,0.7692904773853494,0.9538869383972045,0.9818699944747076,1.1988297380524402,1.083006830298564,1.1302130150227674,1.3454174621717576,1.370720038233282,1.3710565557299248,1.3274036189598897,1.1793045156498692,1.356613336680885,1.4643744708141837,1.6515763152773928,2.1658319359075615,2.5391732702377157,2.222313799483167,1.9584095180844623,2.03554846477133,1.8593516703526882,1.6927427653044065,1.4864961201028963,1.262129551965594,1.0621579463674937,0.8796978408611571,0.7823335991631718,0.9277132992608165,1.0998571402696733,1.0760000612305871,0.9563882051134887,1.1031862707716036,1.0230636530395611,1.3049113820326694,1.2610003572176294,1.4369667292131634,1.736006945497866,1.80398348528672,1.934963981806969,1.962898006387596,1.857739814902996,1.8319068750846865,1.963800141764836,1.6663619124707596,1.6571511191119193,1.5389816759605432,1.6079493900254738,1.694093941297343,1.662193814238024,1.68134059593131,1.5864859350293619,1.6020095579987246,1.6192945634330531,1.766147300424295,1.636777487145628,1.796789760365654,1.5000922585488878,1.6152044027465344,1.7210293718893455,1.7705728949408783,2.0294066565566733,2.287381884030991,2.381287027769395,2.5608057900033865,2.2694488920650495,2.211603469954918,1.9538812270269124,1.8047686737653046,1.6805482116798216,1.5651133814777771,1.6562230122836228,1.3569925575503805,1.19204499785079,1.0594791702140336,0.961850506433513,0.972645358096544,0.8350181821958296,0.7983506005113963,0.8656804237285796,0.8976408873041428,0.7392112525496407,0.8455632385507164,1.0585920904927653,0.9274586240518966,0.8663033288988758,1.1371662713324113,1.244694920914344,0.9921676772156469,1.2219881380874886,1.6102051867234215,1.6406577297685825,1.7297253838067483,1.9681961169379714,1.573644634331346,1.637775987511589,1.7710056947355473,1.9634057718235123,1.8818643336456315,1.4610691223609658,1.474635257164877,1.315343970170879,1.2928842712291861,1.3364666768924789,1.7393563813321298,1.4107259098181588,1.1928328912703852,1.4878307822747288,1.4246635072174125,1.2898673240601204,1.685152066348518,1.8252181185671135,1.5394341555320803,1.5294584132589173,1.160489392787037,1.2682093435150295,1.1066810330285854,1.0454924317063252,1.0141991473350294,1.053226812313071,0.9942737840554937,0.9420341375267599,0.9332472911643693,0.838500252759563,0.8383913796686451,0.7769354121248114,0.7772960235790569,0.7690781648729104,0.7812220123063571,0.9736100563795553,0.9316284234048833,1.0421283917494142,1.1252188672898276,1.234989650197428,1.2651824249642944,1.1793941053476766,1.0222124319186825,1.1800431748758888,1.3837730945260724,1.1905879669283919,1.212583536878761,1.440428427788859,1.4435659508890175,1.2587760894896025,1.6183085675749538,1.7950598224934116,1.5839971705100402,1.499838668866395,2.0315914241048105,2.234727181946183,1.9086634140843843,1.7513932065528715,2.3855664149968416,2.428278199988163,2.23738671455552,1.7993003883173375,1.4093383999265123,1.1124258583143956,1.4236794154254309,1.247843392101674,1.5011657359043658,1.1215987961683611,1.0668619069287808,0.7938955647527449,0.8774711180848805,0.8195822574344663,0.6933222163289642,0.719631468655074,0.636194820960045,0.8023018080748663,0.8775130588554028,0.6366179901191017,0.7069815964436961,1.2119402972663873,0.5626619568397525,0.9317110863419813,0.8471283217403578,1.3157074298212545,1.469495980835066,2.0673729472826525],[0.5387460048097995,0.5024500569741612,0.6023682756012189,0.4001100822635813,0.5464046766125338,0.47716615331060735,0.6079121047523578,0.6759469740561433,0.6678272945900076,0.8550525428657638,0.8723333025431301,0.8899818395237113,1.0543082502957686,1.0587324094965822,1.2909741208354002,1.2826254638609809,1.361354506212184,1.541523038010279,1.8277368952835047,1.7504640779700913,1.9050701320403032,2.034941034804961,2.0280885234480253,2.334925051122377,2.0039211719570122,1.9201079925184192,1.8775533604296166,1.6464394050444144,1.5517693761081048,1.3874711240686897,1.4512440117450882,1.3127177487173283,1.3218253059067444,1.4851893278389376,1.4867166039122073,1.555934947520341,1.5284203173745017,1.7458140864494527,1.723174111374372,1.865025530173295,1.9674779775309734,1.9746571333899245,2.12602751384007,2.244266511282615,2.5167503550022885,2.5153480931106875,2.6587349688023125,2.3904862325687932,2.155076447098051,2.3406875705966312,2.2064676536195043,2.1333610617474847,2.1528691400150395,1.9039312296896356,1.9216317921511163,2.036009913697647,2.0129965317908165,2.135477445028351,2.0213886026220176,2.317848015102713,2.08052340855075,1.9702217638910537,1.8436344225228432,1.9906850491119163,1.9927796503074364,1.8607557638815018,1.8579857130032191,1.7210908247646062,1.7481519451715641,1.5791043548936445,1.6806266546074162,1.8680581919776373,1.6829963992779657,1.907224687842309,1.6664131401176425,2.250061520050358,1.820775952984261,1.7557715850138722,1.7150555900816498,1.792714449575732,1.7137296955772094,1.7958563097957545,1.5958156534380383,1.4993894026151133,1.7035962690930406,1.6392346260044366,1.691096717342024,1.6879235194563222,1.6906373835159778,1.6638971785887997,1.611314565134612,1.8245475692377007,1.6428693999746742,1.4164764550802387,1.3098236303165458,1.3109257916829924,1.22003437855612,1.1611805629765621,1.0130130542886626,0.9031975774978743,1.105655697011315,1.0560233491406863,1.1715025311332425,1.0729163114780973,1.578877204615188,1.1475035936973954,1.054724868319923,1.0306210344330986,0.9675893243183197,1.0424467812678748,0.9897208800388178,1.010045086787286,0.8636403635993454,1.0314697816541234,1.1176419650068492,1.278705704660598,1.5157427910872723,1.7266249129512607,1.9943051136035632,1.5891878633817784,1.4825496248450314,1.2689528643762193,1.22710977850786,1.0289252850483874,0.807942813893557,0.8851530112379254,0.7462589585000913,0.9190752241835444,0.9619851430199412,1.1467204584950532,1.0522680179070172,1.0866648501911438,1.272929171826029,1.2850270853263854,1.291272663349362,1.2467448804677126,1.1562311720339427,1.2870995685867832,1.337147007176759,1.4446431610822923,1.8744251774357135,2.112957142290579,1.831070198559696,1.6438399074116055,1.698216638567716,1.5561759738109158,1.439653043799607,1.271193092634457,1.1002728024719828,0.9298202231778687,0.7942409005844802,0.6957781676774487,0.8702512764805689,1.0759054664350671,0.9730870118405643,0.8255110138351659,0.9439883954583747,0.9029291414063103,1.1132866658972487,1.1208367964652046,1.2713859490799349,1.4813495095218279,1.563822049863532,1.6550640151226081,1.7060896902920664,1.6233496732166715,1.6540109245127406,1.782975010058673,1.5796593204931144,1.5610636186884235,1.4431089785573952,1.4648197275309018,1.5076873004282636,1.4677073241266534,1.4590208702384688,1.3865996763444777,1.369948519575998,1.3920047696415911,1.51637401376813,1.4238952883214473,1.5797947481515637,1.3595176183017936,1.4684788077799837,1.5558523851081991,1.575303190843546,1.7522139439804978,1.9611204432376774,2.017863256185468,2.169637072738594,1.9622869958924134,1.952533736536254,1.713936004877393,1.6279966082827197,1.5518471133682183,1.4631580216438493,1.5650521814696285,1.2965408321693843,1.1154972272632433,0.9871026049461896,0.92937652794565,0.8778277911705756,0.7932554121983563,0.7867594138853174,0.7787365751877803,0.7794753593452997,0.6918251442439115,0.7464601840843748,0.889434251388752,0.7757510450442381,0.7516592249287941,0.9661471323141828,1.0393205340811253,0.8512422814291826,1.0530803466474439,1.3791133104797686,1.4098978004372174,1.4550627695035354,1.6508425974849747,1.2875363578291046,1.3164788847207922,1.4023551207757576,1.610521258093356,1.521909590611866,1.2248832005795056,1.2987624794134132,1.085241373753834,1.1201057413390967,1.1339739716052621,1.4661995067553935,1.174974650698112,1.0411007893516449,1.263027585970287,1.1940974228125267,1.1104657046392967,1.4808984146265871,1.5571878733560982,1.3334232935934542,1.4105284342287383,1.0269207489184902,1.1897970614239644,1.017425952156877,0.9405429093486495,0.9653664776648282,0.9833338014599093,0.9842571905780948,0.9113901466728369,0.8643325052755022,0.8373719218960688,0.851157526547051,0.7170633875573271,0.7035822103506798,0.733090499892887,0.6961327938103566,0.8115340057070806,0.7891707101789589,0.9472086449999585,0.929466737128436,1.0040663567303292,1.0256508784073604,0.9507299287938088,0.8441590883659807,0.9729553820411114,1.0965201072642643,0.9676321050151316,0.9849794602771976,1.1443035895135807,1.152361132603665,1.0291275942153146,1.306326616523518,1.4545292580284674,1.2988971064416257,1.2390439581564792,1.6541649921420951,1.85149888801879,1.5826140453765623,1.4893495310952503,2.0833137441753715,2.206587532254323,1.9259210133044637,1.5991357080488395,1.2226344702090426,0.9964128089462551,1.3186895491889434,1.1285076429208145,1.3379196132079452,0.9583561826252116,0.9169431008570054,0.7770057742445274,0.8576751631751827,0.8333023430700682,0.7109820998697937,0.7489605156101841,0.6395066432511458,0.8322202615758549,0.9072228550411043,0.5983899185717876,0.73306630720685,1.215879064635685,0.5760247010141208,0.910105886222255,0.8475663690743079,1.3893235076479193,1.559275350867873,2.110517181112675],[0.6526557408344463,0.6247381814783981,0.7924253680460807,0.46300713818725603,0.5282049023915384,0.5321217413776215,0.4736101177495891,0.5107180675536835,0.5307522357336296,0.7155029821008915,0.7475881981095643,0.731893257296484,0.8877646412907815,0.955571248887964,1.1712897706878798,1.1348221287539353,1.2455380529684825,1.450233750847914,1.7933764046231557,1.6749662450078056,1.8831788810947645,1.996760123788735,2.0377885645961853,2.3722014168906553,1.9759552545050751,1.8964099604522453,1.7796524115316104,1.529910820706788,1.4129880131266492,1.2052331824430103,1.3262580318154005,1.1179911736001875,1.1316154815322532,1.318177232364814,1.301356797913899,1.403945567188678,1.3194310437060262,1.5794317426070252,1.5520547891047125,1.6852077052878094,1.8326621040606021,1.8825907780808422,2.026934085827962,2.1690895047180145,2.4951964437550056,2.504518358149153,2.6645020433559607,2.3394336423744386,2.0593278779893702,2.2550569270795773,2.0942598908781727,2.0074340424635055,2.0247226661376705,1.7540017696222834,1.7611557032841345,1.9200071755216515,1.9090971194292463,2.0060481711233416,1.9156672043739396,2.2497718415448564,2.0207696074656485,1.9079848067011007,1.7625440960120964,1.9749556083699626,1.9695725811807594,1.7921372523990091,1.8422917105921446,1.6697821037319913,1.7563576856077576,1.5497445918978088,1.6929391026271017,1.91683339215848,1.6967894359710014,1.934911163649954,1.6178714076872165,2.233260947109074,1.7366904939600538,1.6463898545638973,1.5813957655406146,1.659184040849085,1.53260432428392,1.5969726619051747,1.3614351293273568,1.2725854130443088,1.4870312353443451,1.4228070955269807,1.5173610566393914,1.4896395207699547,1.5469162780291588,1.5133865385471614,1.4949523826863698,1.7450314629413104,1.5498298161234174,1.2838026126924105,1.1775944517973138,1.1965327200689038,1.1054038066391865,0.9973452633321036,0.8150156603283236,0.6994924184935433,0.863796496296123,0.8113331587599013,0.9125993341211585,0.8171921661837682,1.269379281255078,0.8830469987083597,0.8790602755662665,0.8913847717678932,0.8062377463615585,0.808934321172217,0.8103717044612591,0.778439074517808,0.6530376203399959,0.8305254167439239,0.9676961264532357,1.1564996643133767,1.4163908528160374,1.6683014228164414,1.9640202251633048,1.5231181903079094,1.4434197098420678,1.209191773201959,1.1875683597895617,0.9365535838376806,0.682837736704624,0.7145076795954235,0.5897048254589674,0.7348191141753333,0.782472799072711,0.9012265384964093,0.9071347663179785,0.9347263825876952,1.073702402574646,1.0485487123822452,1.0716594620607527,1.0264523055221852,0.9992071603064724,1.1095623209512488,1.1842377613542605,1.2857775051951414,1.7934003566369672,2.0788655761724093,1.7741342210417883,1.5245583075197198,1.5546851707459395,1.392860115896775,1.2709525829695092,1.0631799443642904,0.8694766608739888,0.7121863912892277,0.5764308092424822,0.5062673105523098,0.7071427826638116,1.1081479616548326,0.842367287644362,0.5761938970529941,0.7030942931825207,0.6572050071117106,0.868251849688333,0.8449982762286758,1.0262286494086954,1.2643481951480597,1.370502663665742,1.4560456618046418,1.5105489666826193,1.4544492454527913,1.4696279558580139,1.633010618606922,1.4236840350108595,1.3938371181645588,1.2518402462219382,1.263209074541693,1.285263186998181,1.2315938140453269,1.2131825371948046,1.1161476752517598,1.1291013968675279,1.1265994445276994,1.2697225824638616,1.1483769392593088,1.340670933322372,1.087723567203616,1.224027771568966,1.3279676209535873,1.352199618988517,1.5560341523733638,1.789441508289346,1.8646892155208015,2.0625639902001063,1.819713885484571,1.8147059510828476,1.5359760715543866,1.439219861058717,1.347442762516397,1.2726608142949913,1.4303885536844383,1.2029218817608751,1.0772003432103041,1.018335199026784,0.9282398025640308,0.9839795805541957,0.8522220587446638,0.7921926833103726,0.9314537161097827,1.0013832814598562,0.8461359235754207,0.9651990154145186,1.1900778792440518,1.0998230367538342,1.052237823348291,1.3002581440664607,1.4191571763352475,1.20998163003001,1.4189498817564101,1.7619967529172738,1.7636011025312917,1.866976740762987,2.0141159376795645,1.6596860314516726,1.7369952498934527,1.8239148906563543,1.9610138585378294,1.847896754286044,1.4880783262354103,1.5087156963787995,1.3611954070577743,1.3851676092065661,1.3406417801487613,1.7484210940085103,1.4162478582175189,1.144414921918843,1.4252909979580446,1.367987848894294,1.2378395387568815,1.5871431430449996,1.7634134121302683,1.4897456626775176,1.5003870506164922,1.142813703280028,1.1894091402352642,1.0357175906011153,1.0371899712572177,0.9569125132708759,1.0874012040071983,0.8942661434167408,0.9096877701626066,0.9815782480186489,0.8545250972621538,0.8138008866252491,0.8924118764257748,0.9404991075040011,0.9293490702537577,0.9687388159691475,1.1715687065852347,1.157736738912127,1.2529752245504273,1.333176201005322,1.43335810199726,1.4383847895317596,1.3381205818846256,1.1585720751775324,1.2671617475516281,1.49203367761425,1.3082052119146825,1.28154471277135,1.4960340649893746,1.510833615515182,1.3104273921638998,1.6125459179134216,1.7777180674256772,1.5983381884085073,1.5005089994535294,1.9458475037704284,2.1309341965920776,1.8633551011617753,1.74665499375641,2.245168651356823,2.3416321071929738,2.2177490891243115,1.8540304458652586,1.4988433646826147,1.2436938452235948,1.4920808181830811,1.292128821854881,1.5028660308475434,1.116666069530048,1.101201652365308,0.8117524279102589,0.8510104284862268,0.7287581787939729,0.6993028239911888,0.6871213603889901,0.7186726158550438,0.699475325689691,0.7612985867357663,0.7945873583036112,0.7509881441115965,0.9961382814951505,0.597160853176463,1.082672572330467,0.906337233374907,1.085890032548927,1.3122104722170396,2.037877779686651],[0.6913057008672658,0.6977502253699414,0.9247353550694016,0.5322234438062889,0.5878479268261104,0.6112867239391362,0.42823942726953734,0.4865452425469548,0.46477965482115985,0.5916128791935237,0.6187802668488048,0.6198969653046708,0.7613494992243369,0.8229219800107459,1.052219786324355,1.0234609336952964,1.1287717125012664,1.3474449914138815,1.7056175664343063,1.5927094006185403,1.8186071661848677,1.9566914229286048,2.010616527233548,2.332086260229839,1.9374889232559251,1.8322171283765807,1.7156050537163052,1.4456004706786558,1.3236324021704968,1.1101192968993792,1.2196950068963144,1.0195282162040602,1.027271965003549,1.2264156631667804,1.2214179365199809,1.3208687502258636,1.2426294335414274,1.5103606820135924,1.495631308252017,1.6558140332641753,1.8022427817377296,1.831823566739892,2.0021596931119223,2.1497721717295084,2.4981830099515063,2.511722013655259,2.6616343615456373,2.328877218658433,2.047022136208912,2.266056570465677,2.1006066176874416,2.0038667432546458,2.028717583675196,1.7368653060995112,1.766588560937701,1.9200635962300354,1.9044625533260235,1.9815675085363011,1.8942803114664986,2.2672364329915173,2.003070059307337,1.8726189056872495,1.7157866384409688,1.9442529527489356,1.9388959209971555,1.7391351564829396,1.7822068361928707,1.5836784653070768,1.6619305213330722,1.4502314497700026,1.5953428784636081,1.8356624533803554,1.5971790785026705,1.8467426122008501,1.530224926459497,2.1276204260984235,1.6683331488341562,1.5722706281823584,1.5192738336247948,1.6166846238765227,1.4861826227983963,1.563654727360363,1.3128360991895054,1.2361760287846548,1.4577889973135247,1.3791577344749542,1.46493416512665,1.4223717527352457,1.4766329983348947,1.4310839490625682,1.4068938104092024,1.656534339345258,1.4470889156965938,1.1814994071196476,1.0635698764880874,1.0801918990913837,0.9917842643147262,0.8729674499202696,0.7067968440336911,0.6194299206799643,0.7669497583436874,0.7498671166451558,0.8437673415824516,0.786894824172845,1.2603339853526794,0.8868277655199478,0.9415228253026127,0.9668755308898745,0.8974335301057742,0.8377507020888034,0.8189479897919518,0.7438684415995136,0.5894678407083537,0.7455109500426905,0.8499122362368972,1.0387280730004516,1.3081451685834316,1.5628653255209377,1.8947258955130777,1.4239597947152618,1.332295544600422,1.082030678124066,1.0505249779250236,0.8097426262241111,0.565662629288837,0.6296771820268547,0.5790199517437664,0.7318058077660541,0.814758614480077,0.9178322808787014,0.980530926464381,1.0404496214716332,1.1410538435558855,1.0901496372631734,1.0841793626349479,0.9989790278717663,0.9996297940951464,1.0322574489079126,1.08533164112847,1.2018352788655113,1.7199321317705891,1.9740459127975805,1.6721687980063882,1.4304190914692725,1.4913158167625666,1.3045018649007312,1.1765214475734,0.9764278035976963,0.7923294271685987,0.6151635852399283,0.545276513847458,0.4877326546007153,0.7232402486258127,1.1225892192475473,0.7834276390478345,0.5343931849534281,0.616175042828226,0.6156062640379816,0.7848176521475612,0.8063142471644102,0.9673568839690424,1.1926521609009213,1.3036989451066932,1.4134623025466453,1.5021805580746412,1.4429616373899774,1.4736961896478158,1.6638246521227087,1.4286518170035776,1.369490230133963,1.2331523339767652,1.2242831073229083,1.258487496550491,1.2035347473480664,1.1772783698030156,1.0796469731621599,1.0662023699064116,1.0791053278408729,1.2342343039139494,1.1389031015409266,1.3252378422360858,1.0677723689441265,1.230115471310588,1.3579990954974652,1.361393034915612,1.5606585750026676,1.7731180370058128,1.8898254817742979,2.0714801231076105,1.8396786199228103,1.8451416232195574,1.568648796783207,1.4762493882743206,1.395893678767548,1.3557848395565069,1.566663621241213,1.3323265823353794,1.2574655745605734,1.209350628324672,1.0915991922114265,1.2191901475716864,1.060928303351047,0.9587605458707869,1.15144609687049,1.247844158591438,1.0500005057521313,1.1625272947332859,1.4217978385195085,1.3332291880958913,1.2319321124923512,1.4978042027180405,1.6292134445169493,1.3714877102484586,1.570946294290142,1.9441489887831338,1.9603787911653379,2.082253928099158,2.273407922067787,1.924507337654355,2.0089771600651494,2.1266010752144595,2.244509149626586,2.1848623417217317,1.7793346428861094,1.7624902873281556,1.6507550104683364,1.6464566089028672,1.6273132316263825,2.0372905088806608,1.7187913713821708,1.4046195424085368,1.7024391988889327,1.6431949679617863,1.499416499456793,1.8613452206093195,2.0265065764167707,1.736112011731821,1.6886130294312294,1.3797934755807784,1.4073087133450966,1.2641229090558601,1.2966974875241164,1.1747439754850935,1.3069573119707214,1.0706782600849787,1.106540143605713,1.220040595395745,1.0535852522842388,0.9839142906814136,1.12088943395891,1.1671909508769707,1.1209171626631496,1.1770569069642065,1.4181586479658683,1.3813253898578144,1.431542027173094,1.5556139705988357,1.6740309081986815,1.6946470827030613,1.6143901500430013,1.4349330899046746,1.5546780083678764,1.7895540207818197,1.583267970352628,1.5793749913908237,1.8012534495025114,1.8046171680777843,1.594599557626707,1.9305213197236244,2.0815458730287397,1.8792691730441884,1.777120859954554,2.274333074590471,2.44427724915491,2.146124760771385,2.0027929515410268,2.5366560576498767,2.5925998613516654,2.4831888824352775,2.0400188943074555,1.7060469486119054,1.3945576498126653,1.6251416788313973,1.4774195895933522,1.7148019787807622,1.365567350798521,1.3400409093270709,0.948171393934841,0.9994659888469433,0.7828431106722874,0.8133104242372641,0.7917694928708077,0.9075983695642318,0.7481301798082199,0.7831174148552781,0.9879694951347652,0.8718042484837346,0.9597725977635165,0.712440165705118,1.198413013210785,1.0206108950063932,0.9871347154587282,1.341079032733555,2.119481851553597],[0.625005456107207,0.6275081557527068,0.8399028703278969,0.5071779097655748,0.5835153900547887,0.5962250530206672,0.4527605171119523,0.5323746716392754,0.49108090287895356,0.5663320864811805,0.58226365053879,0.6135770622331744,0.718253673641044,0.7438312921668848,0.9610678213019089,0.9491950375446241,1.0340061016156292,1.2102188732225478,1.518851478754976,1.4193068430671913,1.597793387933817,1.7442758484292433,1.7832090911501155,2.0693340654562165,1.7265106503351655,1.6179599073487372,1.5596228160550376,1.3140839792556447,1.2169322806972047,1.0391279801997368,1.1085904649778116,0.9655804979773552,0.9660732904731966,1.1291487744368136,1.1398072435579794,1.2122230433522356,1.1793297456307668,1.4019772763700986,1.3972359139483963,1.5671474077531244,1.6763137657414888,1.6671242684322984,1.8368548868650125,1.9874511269846002,2.3135270247572164,2.339286508594256,2.4884401263922187,2.159319634103315,1.908974726569674,2.1214687797754173,1.9740710637039154,1.881629011326423,1.8995905801579709,1.6272244703046603,1.6835114842396615,1.767951894631509,1.7418067342381236,1.8506282686277424,1.7371442988536512,2.100219817642741,1.8164538669519446,1.6777310429882628,1.5341751716841683,1.7183593058056348,1.7212164964926155,1.5512855421062226,1.5646376560185067,1.3991511613013985,1.4600286355171908,1.2785169769824025,1.3926440140255545,1.613877516536452,1.3904382152213135,1.6335584126922857,1.3478587993116053,1.9301442439980008,1.4968655184184256,1.4190380338531512,1.3823122016462943,1.4807410409500938,1.3962352526457713,1.4836325214224497,1.273311554238872,1.2027552028917734,1.4095245996773818,1.3230440166767987,1.363524844122638,1.3467956482523207,1.3507553265930634,1.319030050326362,1.2740181866540776,1.5107733315216272,1.3145525144311256,1.076035088071277,0.9678558099812616,0.980845969067189,0.905158399937671,0.8163251210814727,0.6912012354658171,0.6477935479661248,0.7738920666909999,0.7875633404395967,0.8572245437788213,0.825635860101578,1.3058004043676998,0.9339865038414104,0.9730239811814431,0.9889900595072332,0.9237381285668053,0.8796357914597541,0.8563001559526616,0.7829184244426646,0.6238824168058682,0.7530975948831966,0.8084555672285235,0.9677578841137622,1.194237647887438,1.4048854650825617,1.7011782879275301,1.2642906307838888,1.1674394562187032,0.9695458552316363,0.9388310570359628,0.7508475613470513,0.5556234320570034,0.6361781143536924,0.608547881059728,0.769827318315413,0.8489484742411794,0.9564253009589768,1.0030707827025984,1.0596426518322497,1.1668087195396362,1.12466714644235,1.111418466899882,1.0216554133147384,1.025883833643871,1.0268491297499345,1.044160951984003,1.1373132588445918,1.5814952427575348,1.7719765079899155,1.4975955013662718,1.3109428533318368,1.3845179131799974,1.2156115204059061,1.1076347363093344,0.9454100650602673,0.8010719114509266,0.6305114739593619,0.5907160963491441,0.5316636991858422,0.7490622268043543,1.1024087805180356,0.794998667913565,0.5930204459076419,0.6483323614982321,0.6623845575211839,0.7922092656311729,0.8418764549930596,0.9708616860306281,1.15024017437205,1.2505794554248642,1.358140017880317,1.4555286286742903,1.3899119206397212,1.4492801059883031,1.6272817902427354,1.4218381359819638,1.355978443237008,1.23545775486786,1.2118799982080002,1.2461374138510393,1.1992029031362834,1.1674974839907042,1.0882949044362065,1.0549413307571458,1.0812495120177028,1.2191373150967457,1.1494597244039293,1.3171158037769912,1.093454440776806,1.2456175494093997,1.3589714767895797,1.3509011485998461,1.515818846403095,1.7015682041776978,1.8045567189289666,1.949212239998625,1.7627247153359653,1.7817187793238343,1.5282451341301155,1.4587741331715982,1.39809298263744,1.3690700687838226,1.5733045541379576,1.3361289063273543,1.2420618173316598,1.168673186292106,1.06904268763457,1.1399724426592746,1.0028265692412155,0.9269972902879308,1.058598834540938,1.1211988309563838,0.9531779079800327,1.0535212973309238,1.2603044266337924,1.1669500470274947,1.0881269079994653,1.3219459183781466,1.4198505593262662,1.1838281983654526,1.385447800105235,1.7141431465219523,1.749157481462599,1.825791464761107,2.0330400051496516,1.6972848566043914,1.7487741791952551,1.8490391383567304,1.9884899439450054,1.94370197156604,1.5685595361873566,1.5870100637348958,1.467224053917851,1.4873369086813715,1.4788281556900233,1.8482525501163336,1.5691338984558987,1.302682183641079,1.559039375654701,1.5027778732569483,1.3958987749422933,1.7674402633150563,1.8772564020463485,1.6138567520714382,1.6273261750251682,1.2945929975744168,1.3747865771894225,1.2098950122244287,1.2071067481987252,1.1250506007226235,1.222912398463933,1.0478939690767497,1.0594201431424974,1.1311217779219471,0.9955240680923322,0.9497923052836428,1.0137427244665032,1.0323033182894754,1.006406826246413,1.037976865529731,1.2304353232178717,1.1877095523944425,1.267305203486577,1.3357980390090247,1.4314559979597992,1.462968653978539,1.3977515785182115,1.2615749516608195,1.3673628070936852,1.5534620599551476,1.3904223481000908,1.4004755907971134,1.5773549840941763,1.5813435588658251,1.4217726234044998,1.7241620374019049,1.8556340176849853,1.684114220768093,1.5994819724964078,2.0636849603679783,2.235684942304297,1.9446446592851387,1.8335731890415619,2.3886841661685,2.4648239488534496,2.264251911798471,1.8722675727441402,1.5488666160282918,1.269717080328157,1.528524354569805,1.3868011560047484,1.6099553537969227,1.2777814271159131,1.237426618475985,0.9156416120447182,0.9836674287898305,0.8005143160145086,0.8028286390224919,0.7894375950445052,0.8516200760712738,0.759374652769888,0.807540629005437,0.9112373008322612,0.8225288209199388,1.0016564026978612,0.6821234968716288,1.106290738342207,0.9541358411031478,1.0261161034260446,1.3690765947993269,2.1020571615057633],[0.685174429855302,0.7109680386242777,0.9647405486114206,0.6070144551771652,0.6607607976592185,0.7305427274353549,0.4964642305322866,0.5375706758426392,0.5057896422560758,0.4544745354157946,0.4572774787239937,0.5161916285499839,0.5165187296539253,0.5423349051929331,0.7014994325666468,0.6841895452569148,0.7676404985980158,0.8947108876279387,1.187074846380549,1.075243386485372,1.2552376318704819,1.3845457751766146,1.4188985483933607,1.7363098176369156,1.3862320380988553,1.2964790464957112,1.1959132078686499,0.9858140188654727,0.891920472452704,0.7328092374215032,0.7889881337782948,0.6741568603694013,0.6667040236499662,0.7892404750761656,0.7913533802267778,0.8607740925502448,0.8316866052911437,1.0336857617556179,1.032884796877218,1.1905192907191884,1.3103360266038542,1.3006173932346725,1.4331838014827718,1.6104527428872368,1.9413587293214236,2.0093868547307636,2.1755851199979057,1.7899934368308579,1.5542701697271053,1.7683609390669857,1.617554388339351,1.5079402761844527,1.5030730552544864,1.2586377302854577,1.3582943210810154,1.3637315145375983,1.3387544914497154,1.4474409126762444,1.338934270236339,1.7586731024527174,1.4320074493378785,1.287601326499949,1.1333323398708268,1.3342421169448035,1.3336717298444578,1.1782898776476025,1.2469711594446937,1.053245193591289,1.142734901939637,0.9743374136183119,1.1186335427639185,1.3565593679253913,1.0899681100754617,1.3169106840061673,1.0114492852906283,1.6006985045791715,1.103997700820772,1.0229503422042918,0.9882244874167223,1.0810086019126057,1.0160791692466706,1.0997216668216787,0.9542446638956489,0.8831325139176674,1.0627354075185904,0.9645531083745273,0.993419521761301,0.9913169480044077,0.9692036567534613,0.9520750754800157,0.906219280759783,1.1659646039230962,0.9776900192434106,0.7655131960787017,0.69142710842917,0.730287350463316,0.6945727070115875,0.5967556658425873,0.5066566673989823,0.5622323424769279,0.5457313723684919,0.6668734022012811,0.6142759336968507,0.6818791423131444,1.0177765520771849,0.7618548779768811,0.9032056493328688,0.9303578499501223,0.8591379102298742,0.7900568734340687,0.7897923733042148,0.6415446994055366,0.5245226925970485,0.5720517036757952,0.6109142917644849,0.7439958886758338,0.9242793943092754,1.1324772565578254,1.3824011101767093,0.9499741457356733,0.9009424584990118,0.7468525745842457,0.7579456875145048,0.6009022671349783,0.47257201571803986,0.5262384370236892,0.6159975192945875,0.6780555697331427,0.7662590806718539,0.8032591041594147,0.905375734658037,0.9455918100852331,0.988712642234947,0.932726016817007,0.9213856752902364,0.8341776633078231,0.9087660593984608,0.8591068629073692,0.836705450609773,0.8823740654808773,1.311745171281595,1.4819331061446614,1.1937594280280284,1.013419837939587,1.0539128645216527,0.9042570616975394,0.8315569318629206,0.690993776693615,0.5982305286028862,0.4922346980349087,0.5596200917534051,0.5402105272418948,0.7602408298809181,1.2405690961433062,0.8038985382981721,0.5153254964458578,0.49983296533159904,0.5557138423811231,0.5613379937070635,0.6268709356364566,0.7179225857771471,0.8428488374640437,0.9534755299878548,1.0317200553682981,1.13850245552532,1.1110226477278806,1.1777750535486553,1.3644620924040036,1.2281391989399186,1.160170962810165,1.0289140297556512,0.9741831937815386,0.9732327832629705,0.9171271825515857,0.8637335933104908,0.8014581231111876,0.7739746601869494,0.7811154560776096,0.8968670569466373,0.8523863603992156,1.014708729714453,0.8416990675663661,0.9904873825171686,1.091365380211377,1.0621206140876915,1.1888785546197236,1.3582746655015832,1.4448713139346494,1.6087239424043502,1.4409757078435468,1.4933928160858423,1.230301217794074,1.1887753793463685,1.1515439614036571,1.141387036351859,1.3657730748292307,1.2100056059092414,1.1425091456521708,1.113485087804722,1.0422137523235913,1.1314240535806892,1.0274165827408286,0.9504175948228404,1.086469822011865,1.167157956254258,1.0313058501939556,1.1228361625925471,1.318756689761495,1.2584344397745204,1.2019452419905614,1.4064031416985459,1.5055259968450811,1.314763015985114,1.5012268335634125,1.789192951984722,1.8028282298273957,1.8778764025433983,2.0031632123457745,1.7001776518328175,1.7577589823227582,1.815895009842517,1.929671632584079,1.8488162987023953,1.5333908149607682,1.5620232108509642,1.4431329289704562,1.5178251060677508,1.429076457104287,1.8054547872640911,1.5119231752055997,1.23017997673594,1.4678788711741282,1.4126112935397912,1.301149892371045,1.6301343033752476,1.77900139167802,1.5165716987718418,1.5399328466818227,1.2355636225391482,1.2818120803926571,1.1388810791007624,1.1898544507010198,1.111712533274717,1.2363215402641,1.0348467652009357,1.067466474312093,1.145151360190596,1.0211010725499599,0.9694563275891311,1.090052533262712,1.143094699932331,1.1298897230691196,1.1594473134841952,1.341460235479313,1.3231570756158626,1.3974849556060664,1.4561639804904956,1.536404075579306,1.5413769710334537,1.464556843701598,1.3174704799888206,1.381273156188754,1.573652027453652,1.4278305131173188,1.3988772781435017,1.551838852092642,1.568135547203268,1.4044723054219683,1.6531572273746804,1.7621988548807972,1.6282135563825337,1.5427688567491868,1.900542195182412,2.0579875523491165,1.830374525592172,1.763961678828568,2.1887430108020687,2.330794970968435,2.1722269047405627,1.8759275575436647,1.5767079196992009,1.3447334772241348,1.5626582245556522,1.3938160271395652,1.5686949222595925,1.2271066386830236,1.2270231596282763,0.935060613871189,0.9712608108849299,0.7801363809230094,0.8369897715538069,0.8224926896454263,0.947768684246225,0.7979275977833289,0.7997199653743272,1.0444214310995035,0.9513493474973108,0.9344318285036056,0.7885206317545161,1.2458904450510773,1.096826950842446,0.9931268229166862,1.393458009505178,2.144142779995305],[0.9262386983754695,0.9689844796545081,1.2484718582418421,0.8003924243553225,0.8354973708073045,0.9163334991622095,0.6121835137101392,0.6603363683624012,0.5819932998293034,0.48423118111147606,0.48848358215229937,0.5438287655740222,0.5156612790979443,0.580614832343142,0.7432321524265207,0.7036341212235127,0.8156521972722843,0.9781127267851892,1.3328753840626983,1.1865932467609948,1.4213473650669346,1.5487869572656146,1.6317357365296048,1.9470264124007517,1.55389270694795,1.44935701315878,1.3061073784512789,1.0630894966745024,0.9456534351972321,0.7486613022634089,0.8409593880693351,0.6767840246182266,0.6791698677933627,0.8216757488271439,0.8142724810913354,0.903697895724989,0.8470121012155795,1.099295188975835,1.0926976760223868,1.2596587744304963,1.4094318682308746,1.4241330162745942,1.572136546540683,1.7576034858276084,2.132656481319447,2.18797639798786,2.355021475431687,1.952896356085997,1.6781730832286392,1.913466717299625,1.7442622673252268,1.6213912410024722,1.6380278352395121,1.3528523507120487,1.4367369364630818,1.502563933912915,1.4810516237276912,1.548011093082156,1.4649612539717864,1.901977182601034,1.5923118496087807,1.4516430414471706,1.2770745528393304,1.5355293605878293,1.5246875727574523,1.3217529448305163,1.410446536365003,1.1877438709197765,1.3104385278375303,1.105570409622018,1.2825106656895664,1.5509878681716658,1.259181596193184,1.4984271898771542,1.145926605947941,1.733650935342888,1.2279455094177902,1.1235595158043135,1.0780631816950916,1.1786589132707532,1.073185321939425,1.1521954406352464,0.9572300755541117,0.923986844359523,1.09000759841049,0.9995250675660717,1.0514831406271092,1.0213152699896622,1.0400366090744957,1.0103696638843547,0.9838106907383428,1.257464220608108,1.0491579725680416,0.8136210799427496,0.7267906786706128,0.7794145666213831,0.7354699360686766,0.6146689158922838,0.5286514674594641,0.6226920635065798,0.5561952877083881,0.7335927254085135,0.6294351330391602,0.7565712079118255,1.017554411115495,0.83628037186305,1.0717125441558686,1.1193475596436393,1.0500936758429729,0.9111788554637965,0.8831327473538688,0.6867521480437273,0.5817780215526314,0.5711399253393841,0.6187367836338111,0.7651662162632991,0.9815281762269961,1.234894591568374,1.5455558387939838,1.0612188623532333,1.0136184193518565,0.8075299140425877,0.8112138298308176,0.6234133095045788,0.5042597176265466,0.5425050707798477,0.7243412375856815,0.7547071844405312,0.8694337570019705,0.88361721622313,1.0458991913738285,1.1340566832799661,1.1008102956426289,1.0204977853734878,0.969881551963369,0.8475118630359113,0.9439312863632277,0.8427974444595082,0.831664273560784,0.9038342425916833,1.4050458969969932,1.6168083034874743,1.3078230138674833,1.0757752260673987,1.122120704222062,0.9361121545937977,0.8485755181112073,0.685576355007003,0.6099357708241989,0.5197056740606925,0.6750644195719453,0.6734296780508506,0.9026581765764607,1.385746022167097,0.8942215224022068,0.614325737268568,0.5361094478052408,0.639468029760498,0.5712590231036632,0.6629792623091552,0.7293009031872474,0.8477892113175566,0.9690418815295024,1.0668933338870974,1.1795088898233954,1.166626523078945,1.211926972783131,1.417763454092304,1.2286820591652416,1.1595072434318576,1.0372716146113268,0.9756182147656951,0.9819400722212857,0.9267216989177313,0.8744484052909515,0.8145837118589869,0.7723460127122728,0.7910929081363022,0.9083847790442455,0.8793441472639751,1.0348860384751892,0.8584170153034719,1.0231234010851755,1.1417058289873594,1.0978544215967627,1.2434231021840634,1.4219868736798649,1.5427414437909874,1.7248629402386149,1.5326246186592885,1.5722893146299284,1.2886804959528202,1.2292762613718546,1.1867809765076835,1.237193327992094,1.5483135708189417,1.4022411119602178,1.4224507868756664,1.4310202308539417,1.3244918710076092,1.5376051175327734,1.4020836626906195,1.2517983390220377,1.4837009133448682,1.630597634354626,1.419058717935527,1.485972068808552,1.7932292857386913,1.7512216385399402,1.6050594800395843,1.8556630502437814,2.016786888854798,1.7594997846795095,1.910146888846989,2.280276626183043,2.2768093113361276,2.444734497096002,2.5871063163054835,2.282444534483481,2.4012028925393407,2.51637006161601,2.5495561633579116,2.499596269486129,2.1463611015312103,2.1227954221240624,2.033856934924747,2.039881313586247,1.9697939293579931,2.3670533233045945,2.043033226003485,1.6879893536836632,1.9756314352350837,1.8968033151431698,1.7428367133397065,2.0686693629721953,2.250452940700694,1.9493762804971657,1.8673453320623679,1.639195722696127,1.6244320984672738,1.5232945349877507,1.6406043857348225,1.4905339375648867,1.6840699121114187,1.3709952654955604,1.43559767623478,1.6040877870158834,1.432163561664255,1.3168106464784004,1.5388828660692948,1.62051271389262,1.563719590136676,1.6080723067376153,1.8731316245495504,1.8398783164998918,1.8381011229688555,1.9880280079821957,2.12093413191685,2.131076272280633,2.0621050616790964,1.8719930725173928,1.9726183479596346,2.2159822652204566,1.9888447893898018,1.9715664280442706,2.184158449847819,2.188177292923196,1.945046797301697,2.262344125788462,2.402070322352545,2.191711466088223,2.076755574532747,2.5426973003625117,2.670451400783618,2.400518047941512,2.2552613285540444,2.7074206426501766,2.730913326514111,2.7331655919014395,2.2626720802888336,1.9885214385750989,1.6651598969121746,1.7929115238591018,1.670702519182288,1.8897264703382188,1.5760843986021205,1.6119419399727828,1.1803577017674811,1.219671167271674,0.9265192083812861,1.0660232368501978,1.0673703394609666,1.3046684365239343,1.035157085098505,0.9465989808417928,1.3924497852588333,1.2723746968255665,0.9823961542356444,1.0417747079324249,1.5617591206229797,1.4060382076463476,1.1835184419915394,1.7220889222960065,2.4746803428139423],[0.9082110024385996,0.9523600792456565,1.23279868764599,0.8167660928352464,0.9175601661206384,0.9803104264473187,0.7362908915257604,0.8202213204250747,0.6990731961476169,0.5837930185572796,0.5823459035927192,0.6500874026652854,0.6097407557131688,0.5921358603280364,0.7287777818981812,0.7396373216744813,0.811663806178302,0.9193115193962195,1.227579020956392,1.0921668806369476,1.2727134845684311,1.401224860720348,1.5036002257595404,1.7323704119410657,1.4322502722657489,1.2974468107691661,1.2266258293929995,1.0205537140079497,0.938964377337985,0.8102178267988744,0.8336539884911891,0.7713231906768077,0.7507735339508865,0.8349814369828154,0.8668418553574936,0.9160255720550966,0.9071852628391197,1.094732133960871,1.1149350951555994,1.2852662436396063,1.368591462747806,1.332643067394076,1.489061616536274,1.662910077955239,2.0092676026592504,2.069072388919695,2.224721105954289,1.8488289539946903,1.6087700914140313,1.847100402872248,1.7351699566345533,1.6087055587181271,1.62701231115801,1.380064282719709,1.5336938238537459,1.4831784417155396,1.4375903056917954,1.5178505859723161,1.4189108097293175,1.8761396609476828,1.4925323541771212,1.3634167478688337,1.2103661713019707,1.3781337521887331,1.4000939197733324,1.225690203257475,1.253580436249069,1.078921752581623,1.186316088146648,0.9971804449604161,1.1359588522345736,1.389098182610122,1.108823211070774,1.3440913931592402,1.048312263372186,1.5699972421552766,1.1714051385413746,1.0890435882688136,1.0701139015076575,1.1632697536858703,1.1164917250824373,1.1999781472776343,1.0536917796306726,1.0833849257972124,1.1901909421774155,1.0934057925435885,1.0799056162618696,1.0591222159620037,1.024181183668361,0.984610064808521,0.9639334776794299,1.183818589119656,1.008020258560605,0.8204345705889841,0.745233322528918,0.7714466551180602,0.7555812342876167,0.7013349496083091,0.6619335808172484,0.7893012483840854,0.7324191834322928,0.8990344510512899,0.8166676943765773,0.9387632340599387,1.1934660231287748,1.038707152891523,1.2651545210326571,1.3132964524236344,1.2309994210019803,1.0826434905481903,1.012507060231803,0.8653459955884331,0.7581474838380776,0.7414232788505496,0.6881336901410888,0.7702775964054144,0.9346316130249388,1.1203703048565299,1.3903557193535665,0.9782232144941346,0.9025219226864593,0.7696473901492181,0.7659617235929856,0.6464686465093783,0.6138553651361368,0.6895464346660535,0.860956176268799,0.9268925787819716,1.0456518080612018,1.077552042564721,1.2375139565251403,1.3454821619057482,1.2893076233434217,1.2145633531593312,1.1262458143134753,1.0032484510254251,1.07257294237075,0.9308681204271062,0.8820831960721668,0.9363758552384982,1.3116922534512323,1.4541746263670927,1.2011491365666551,1.0432125225157423,1.1062885975408,0.9618459269388987,0.9017368649330839,0.7877171754122009,0.7832683576885107,0.6843653402032399,0.8274593198361845,0.8115066066177462,1.0133335642240657,1.4066385265462467,0.9487504852760085,0.8115640689207265,0.7313312849697988,0.8326413954443022,0.7554315395581163,0.8677305926302195,0.8908838140055928,0.951447028744841,1.0310876514955452,1.1395236854274244,1.2313863675893533,1.214524732534676,1.2742413951841358,1.452161955576784,1.2872231432628363,1.1971400409880624,1.1246384045249045,1.0656573161951568,1.094863717086374,1.0739424592324265,1.0261736835878685,0.9927342906204917,0.9288640820331946,0.9715658711055247,1.0657477163254732,1.0740914026685462,1.1722712968538644,1.0344994474661586,1.2044111688525636,1.283008603936318,1.227113054915911,1.3271363164519459,1.4469718166844008,1.5574685981888279,1.672890891525907,1.5554570195133055,1.6186310519270375,1.3778572824122985,1.3460383879803437,1.3439511938337465,1.438928394477359,1.7563645677307271,1.5929384670739142,1.6229279390675728,1.5991486017503496,1.4778208666686732,1.6726570821980808,1.532505048132478,1.3814795128260655,1.5777523127912678,1.7060173593754795,1.4818438559978546,1.5287045517117708,1.8072605583528196,1.7590525613386536,1.5944318492883855,1.8165196389293534,1.9576910869434936,1.6916427124858147,1.809420718384639,2.1716508057707316,2.191668233783109,2.330659704274183,2.5290576914790375,2.255848960655393,2.3493038445062546,2.486092304894767,2.521705386740451,2.5348403506324693,2.176815465543153,2.1539319785758595,2.098186155247472,2.1125576353257878,2.0681956173507103,2.430105468567648,2.173319716659607,1.8416466994136478,2.1066512082994175,2.039295113201726,1.9090766834126258,2.2514737800786584,2.401096172876298,2.0737468624173774,2.001795143163677,1.7889295441584263,1.817212691308577,1.7000463148117615,1.7819406565465536,1.6373170382903606,1.8054131112456928,1.5060332348138217,1.5642832066798777,1.7013143431456546,1.5351213140571687,1.4340565911149137,1.6068433181826374,1.6521231140508397,1.5916934686500228,1.622601667813801,1.860923187848713,1.805531919407454,1.7985275936887777,1.9227996314608689,2.0501025522413587,2.0889378293469383,2.05824512780077,1.9134718611464525,2.009665022266182,2.217359860992764,2.017376347813352,2.0491093131382208,2.220049111202739,2.2083901332686673,2.015251179548031,2.3490928108672695,2.447708884825722,2.2472655159965713,2.162337886992813,2.673763625321111,2.7804806892344893,2.4717996165972527,2.29726054123852,2.819631515877613,2.7460344027317927,2.680708506019416,2.1867047627917477,1.9650061136752126,1.6250141673564975,1.7459386322271173,1.6880476709878154,1.925426437817806,1.6858591634756193,1.6975059604183427,1.271934664833951,1.3666632213957548,1.0658313983719383,1.156279966142791,1.2046585236003404,1.4240566065056186,1.1461802085015147,1.0586127705851482,1.463477710467473,1.327423299314443,1.0773599908445861,1.0924158291041872,1.5487503274276158,1.4052443250618742,1.220712750720882,1.8312061529399695,2.483771416073142],[0.7779456175021426,0.805471204401569,1.0945565510157156,0.7592449707711797,0.857490602872203,0.9652081231327636,0.734404870854776,0.8033665016164996,0.7367664951760946,0.6200735975863506,0.6231287079133362,0.6785424262040876,0.6036000439273203,0.5511557984876033,0.605212599449992,0.6327467391489942,0.7016253050171368,0.7266669126170198,0.9162353644390505,0.8115265570969163,0.9422165940621433,1.0609946290315886,1.1561858459764518,1.3786813172532253,1.1134817365924188,0.9662590994924288,0.9243166140731494,0.7628047757944391,0.7235325466519323,0.6590576977698132,0.6609199058725828,0.6485371005169085,0.632811835458132,0.6722951970884679,0.6891212228031182,0.707185845167359,0.7181054112236378,0.8155317024832787,0.8380019403847573,1.006990728694483,1.0731412084797578,1.0081109687423413,1.1283686883378836,1.3166818645679783,1.6390006578346448,1.74735717751065,1.9080506247280664,1.4824279339955402,1.2800818331026496,1.4943234683438917,1.4053492872572584,1.2696272105446313,1.2818011136367105,1.077256271351341,1.2852565520684045,1.1206260503531762,1.088523154433427,1.20827677030869,1.0930405566696542,1.5883787454212612,1.1559788717643353,1.0129986056279576,0.8724698161478408,1.043163687193026,1.069374927669711,0.9007089780374714,0.9793614774538261,0.8025572559822777,0.924428099274789,0.780837807397676,0.906214967739072,1.15705983216755,0.8620230815939213,1.088432490998951,0.7967807175638413,1.2664223982878535,0.859500087145223,0.7984880087094908,0.80180953624856,0.8884629725789949,0.8730381286633966,0.9385858421701343,0.8524135642904135,0.8594575824172487,0.9522988644732919,0.8597948221236982,0.8223396953941043,0.8510117827821747,0.7848128518272326,0.7727659291203628,0.7359603892370298,0.966565894363573,0.8267395869954326,0.6634290065084861,0.6333791492305247,0.6812457245859691,0.7327564232305221,0.6551823694041274,0.6517869524907443,0.7740396851013341,0.6709179775827094,0.8580168264718606,0.7352134153669814,0.8595770120633367,1.0000814728864282,0.9013018533226048,1.1254265404568684,1.1634860142421861,1.0844083594299658,0.9578309870348102,0.9223271102828754,0.7833150139518321,0.7282382981095468,0.6811930027420012,0.6439819021687292,0.6534649768089019,0.7346434971370106,0.8567500692320731,1.0652659118359882,0.727442286263174,0.720409601979453,0.6667538588682784,0.6746251294256812,0.627845074358999,0.6447143092354699,0.6674950283555229,0.8362067650378755,0.8541789244009969,0.9390555618894508,0.9452363793460234,1.101931760121774,1.171365738286994,1.1269230240170567,1.0655577781875025,0.9969904969365263,0.8743743067719091,0.9755485535300349,0.8153892288452772,0.7390812281055016,0.7503379642351728,1.0055473155754309,1.1087144970179084,0.8773844033279264,0.7843417802452377,0.8422622714161218,0.746568452045881,0.7318027082861546,0.6694089468697908,0.7129293067130866,0.6651903228642213,0.8002999304445177,0.7991175640385476,0.9746308265013791,1.3928276941162494,0.9302219660716247,0.791074262120517,0.6961954632383451,0.7905294094047957,0.6872493374104081,0.7686960930283758,0.750020841939576,0.7703968381121826,0.8125224427321405,0.8952959944267387,0.9873198825138855,0.93470069978108,1.0599492284807588,1.2219324212749587,1.1334503505115607,1.029967308449669,0.969811152639997,0.8854160653827111,0.9029876078047018,0.8892612028943158,0.843013769012101,0.8262168520311355,0.7904352101366791,0.8087021676812501,0.8650789383883185,0.8943938414534365,0.9746301114672536,0.8821608236710861,1.020411777397612,1.1030174660693568,1.0257943107377043,1.0840092466270597,1.1906861307277352,1.273096073045392,1.3502049147994573,1.280204412140011,1.367586810886534,1.1327919649277014,1.1217090017588314,1.1248296454180702,1.2149836175203668,1.5173562597433958,1.4128116861879325,1.4076131489627297,1.3699758933817316,1.3011537044063681,1.4005964682229608,1.2989231599413804,1.1960839054170043,1.3254159715086522,1.4098370085941192,1.258045862232444,1.315525131135732,1.5042677403869271,1.4578770772742315,1.3677038465974742,1.5366056613539507,1.621886533900049,1.4321631473834224,1.5753354023847084,1.8225998246311237,1.8540357676168648,1.909056414310117,2.0665848012506354,1.8224901934678575,1.8640249956398105,1.9305078634191566,1.975348034103287,1.9887807674030715,1.6866299036047987,1.7217445653445254,1.6607071663963255,1.7494582827850593,1.6749929375337405,2.0147841624092355,1.7828874987755425,1.4808347259679575,1.6785994370143118,1.6252025239649377,1.5553825970395212,1.9135087514668636,1.994781283379765,1.7234566851100228,1.772658081338712,1.494088083774219,1.5732530476344573,1.4102623820671973,1.4653053874307111,1.3657085795038009,1.5027436102757916,1.2709800920440306,1.3199256561510713,1.4118234559356533,1.2869214353870093,1.2260978148948,1.3480792526294016,1.3826662389607354,1.3618418564632244,1.3776256665615372,1.5382423862651065,1.5006986280105423,1.539717517199141,1.5894481036530528,1.6618954998557907,1.69036652632949,1.6506999746083812,1.5525230991366405,1.5970717220247148,1.7457629912048358,1.6283618301004297,1.6380765719959707,1.7376298847616178,1.7382425552704694,1.6214427589177305,1.85986822000981,1.9079281925356917,1.797339254265383,1.743184352698053,2.086691733926962,2.197266185915985,1.9696496041603506,1.9037020929798512,2.3518244760291545,2.427530986501706,2.236113378616998,1.9130822018146776,1.6874213454996274,1.4447188514322875,1.6072415142478245,1.5224286750665852,1.712589938455639,1.4631814934623664,1.4407352836802807,1.1163731736566536,1.2048889726507748,0.956313726950877,1.018960986035875,1.0623953583410928,1.2508318125663955,1.0352216635573932,0.9495776926028077,1.3153943267376556,1.1961770296112655,1.0078316885486414,0.9947257243688227,1.423431284941384,1.2999542714110677,1.0862493675648497,1.7033818965465444,2.310086956208262],[0.9372791647552122,1.0364902350776075,1.4148336183623982,0.9667945065635087,1.0861730054898344,1.1714176764013824,0.8823142169735593,0.9674446686220937,0.8504054629289634,0.6706159410074658,0.6580465065675216,0.7552080674839878,0.6426583205196564,0.5330135455525946,0.5520930239208727,0.5987408248414728,0.6473017818083872,0.6473632276791509,0.8402680187902378,0.7330790445533174,0.889150775000633,1.0033877130323317,1.0839063872876622,1.348944899066463,1.0601020327964499,0.927684504459098,0.8398568679952049,0.675317496020107,0.6458883195750857,0.6312458676940212,0.5912801297828001,0.6560676564128726,0.6501421620265084,0.6354061651006345,0.6502139193967726,0.636874010692133,0.6856390582396418,0.7339139391946603,0.7500115094426465,0.9118905780469744,0.9958321080067154,0.9328738260061775,1.0331772017454466,1.2408850520697219,1.6000350579411333,1.7300739933633156,1.9129493859174522,1.4313718101835635,1.2131833308719697,1.4281882926914957,1.3490116552737264,1.18358851615465,1.1912276603871845,0.998749319458917,1.2347783449903753,1.0203642626898126,0.9896164658713138,1.0922501630528694,0.9938771993181232,1.4899968276133992,1.0715588826282896,0.928665493182975,0.780181823692616,0.9964682679296495,0.996630225802402,0.8151804824180734,0.943296560666101,0.712249056710414,0.8600353933651902,0.6912529615249622,0.8607648202221845,1.1341204625685848,0.8063203461212789,1.0422664481439183,0.702273838431399,1.1985700460362145,0.7280300433044381,0.6833084666530205,0.7262574705021673,0.8055088614448476,0.8016012493722561,0.8524239432980787,0.8415493762639281,0.8803781959247994,0.8925378651501182,0.7995548699328887,0.751662694582443,0.7947373774090214,0.6959846983198509,0.7118199298588623,0.6354798417766301,0.8661698663650018,0.7296043485914766,0.6122089720666426,0.606339581327378,0.640997341908635,0.716128157123239,0.6933554808181688,0.7359099510048251,0.9324835542728097,0.7812031386574668,1.039600554411135,0.8476541130771286,1.0348895546486576,1.0064278661573767,1.0546292212101742,1.335591041645158,1.3948564939969252,1.314026555324519,1.1670274592273926,1.1047941900500482,0.9158625098734209,0.860547249881397,0.7392964315563139,0.6424491876105521,0.6067838548668179,0.6564437389363605,0.7930239797549145,1.0136197702135312,0.6360291657439584,0.6394890288674309,0.6009098144169716,0.6149545831474781,0.5998842982534716,0.6863066002512805,0.7461675788805769,1.0068071686696598,0.992655178264217,1.1166667374451331,1.0870502121408683,1.2658096553986247,1.364788505969396,1.2214112133701138,1.1668996499572706,1.0651757611834656,0.928960909503083,1.061576040199417,0.8353550276630652,0.7043242954485812,0.6941154000159259,0.9650145176784645,1.0948030695652953,0.8289227546793518,0.7147437657472775,0.7617965733116563,0.6911238525579801,0.6913094906213544,0.6805298587506768,0.791322302265551,0.7922715702992722,1.0079571902947622,1.0053354183194174,1.1992727422304423,1.636371513658051,1.1383474594184595,0.9728396885283971,0.823354120516084,0.9771842350341214,0.7613965586578354,0.8852428698921415,0.7949049921204149,0.7441930563595643,0.7513550349141573,0.8280811253435854,0.9256725046658781,0.8824433839651032,1.0153651746076526,1.165629140935478,1.1190582555844675,1.0076425115632706,0.9685792683837574,0.8633386994176769,0.8926663761317589,0.8902280849232557,0.8392253617320667,0.861876906349499,0.8082573795159491,0.8425750684575836,0.8563921815728479,0.9353605744876724,0.9607182313262665,0.9457813304412448,1.0655167406886217,1.1288412896232325,1.0171176297511122,1.0313208315669655,1.1016354174130742,1.2042921283607075,1.2996453327965363,1.2147402783112937,1.3139787829229441,1.0890045128986778,1.0966752120119034,1.115403307540322,1.2371708617941608,1.5650555101911705,1.5257869979905787,1.609177729180849,1.6357607844347448,1.576042552638863,1.7482262469189187,1.6501105617563043,1.5103578645745195,1.696072266025492,1.8225407921674284,1.6380839708183956,1.6702482530110272,1.928768375191432,1.893832132639837,1.7568282901651193,1.9410545666495875,2.056455972067908,1.848311188899358,1.9666291163353342,2.230420155917607,2.2617059292866166,2.3659290916635207,2.49170304082954,2.2681247214085007,2.338230183924951,2.4105293022178023,2.3864045614587184,2.3650116435777355,2.1181253282724435,2.1277610939036813,2.0940911466364565,2.1938739808118926,2.077935447986753,2.4128251893061585,2.1430490209637147,1.8239278592017214,2.029073192443341,1.9460463808093498,1.859200350769955,2.143498593464142,2.2972943457374573,2.020730999164153,1.9939982500325137,1.8166530111811139,1.8156180946151559,1.717877628273416,1.8344164109385468,1.7199237824255553,1.9019364139904564,1.6293765508650537,1.6852423803510392,1.8077880289303745,1.677013158397428,1.5750489370612062,1.7631722240835768,1.826290804274519,1.7744703447471928,1.795708828848507,1.9961322885862944,1.9658009410913073,1.9607108087686496,2.057795938069864,2.1522924179934857,2.170050284196985,2.1285370791061484,2.0046820215636454,2.054713090734443,2.2250324644648245,2.0737707283230598,2.0635923205345725,2.1907740689555584,2.1949223618064786,2.041289514252738,2.257606388563375,2.311522131261338,2.1988427320412653,2.1329617891682773,2.4234666921877803,2.505455645047766,2.3278238171103838,2.265579985159067,2.545914257787183,2.652382692377665,2.588123522082263,2.265021228802198,2.0631185171904214,1.768900815811556,1.854614534034835,1.7929466182590585,1.9915727727667696,1.7396502504942501,1.7817311051191604,1.4078007091370541,1.4643631498739371,1.1655632167627112,1.3109233011101074,1.3487177875750542,1.5916096858111681,1.337863829427757,1.1762053532246104,1.6526162082195985,1.5505914416025819,1.1338975673538056,1.2613159262211788,1.7394881551419656,1.632889199396188,1.4494895544835553,2.0904926296439514,2.7063427451724342],[1.1396809100610226,1.227828601963334,1.537603494961686,1.0812355353180794,1.1373405604232119,1.263844952352941,0.9619452418980949,1.0475239910433158,0.934989800728745,0.7483693344721323,0.7340847002801272,0.8265524577002012,0.6999922833066662,0.5888579680799713,0.5989668371665443,0.6556177631154769,0.7080940709444138,0.733490526390079,0.9824180128823403,0.8549545106954861,1.0355810482521761,1.1480099547319853,1.280819879476577,1.5104806612919064,1.2082898030798923,1.0662143926242342,0.9870496955334811,0.7896674517273895,0.7397386378267068,0.6805290226306385,0.6591117448827759,0.6928968128024763,0.6885682817037853,0.6927996999873652,0.7142537051711414,0.7119179758572886,0.7432770079582655,0.8312818749698904,0.8608047965940496,1.0196059159821695,1.1218742280614427,1.0767768156625075,1.2025589628593676,1.419376343010808,1.7937994821223933,1.9043031745610002,2.064729817610765,1.6124832684762678,1.3739946038067918,1.5849084591688052,1.4807605488001556,1.328657432227773,1.3359814137276282,1.1174648611623244,1.3359058937487858,1.1661921205404993,1.1389195328806252,1.241878916503457,1.146018538594982,1.6367322924155452,1.207157585203893,1.0542212205103476,0.9149982060749202,1.1393315260612498,1.169061329991106,0.9629844273322214,1.062791743094701,0.8376811673699319,0.9751271753262503,0.7971095315551276,0.9546695111401342,1.2306897619578847,0.9166333395245351,1.1462926308915948,0.8196088329585015,1.2968763878432124,0.872334340661819,0.8058080678421495,0.8339574415212628,0.9409145104479277,0.8801261930495905,0.9509658744358441,0.876410601905966,0.946004511565785,0.9751430324930623,0.8622657227801044,0.841444199479491,0.8607594163530918,0.7933509425065423,0.7744844030243296,0.7288000116298392,0.9450009431753104,0.7781214659118904,0.6577382366111384,0.6478372646982318,0.6859713259255835,0.7649884884513601,0.7439873876562112,0.7909399378053696,0.9955881697321071,0.8315531643896512,1.0855557079279525,0.8915593258040624,1.0716704796679362,1.0386147220082382,1.0912008242207045,1.390149680229045,1.4389659832462083,1.3681784280126124,1.237891149139545,1.1496094747714642,0.952326226086553,0.9123519909186873,0.7733721014072489,0.6868000233045616,0.6709586891535116,0.7440186466714865,0.9090292006747481,1.1470897679284886,0.7497690211385688,0.7491471068197303,0.6893062803273466,0.700153213830361,0.6676176300788202,0.7478323840232285,0.7749822545456504,1.0780463828830358,1.02449434390327,1.1580966957871284,1.1097967331444774,1.2942315774716462,1.408278881515938,1.2514425693478137,1.202537384500666,1.0833923740584472,0.9491018056791953,1.0801685004857082,0.8551307377336919,0.7654193694498272,0.7687503241190266,1.0929081565686791,1.208581061637336,0.9557123157811871,0.8206831718079476,0.8696436823044208,0.7585145254811959,0.7413870867297748,0.7119045725155255,0.8276749590082737,0.8512252351104871,1.0693324056433473,1.0765605257143864,1.2807922612634304,1.7149556524080265,1.1987306442249988,1.051438120699632,0.8924855629499959,1.0242188509033743,0.8124229138468556,0.9144680124928751,0.827723141588582,0.7927035407556776,0.8102631053822784,0.9045333900898865,1.0049838923833232,0.990512367288614,1.0778437083621053,1.2490082847837063,1.145567798481909,1.0440289395355287,0.9837183612517978,0.9047685774379456,0.923168735069376,0.9247260677398568,0.8885947146386416,0.8943559090351507,0.8524932842411145,0.8954105030234357,0.9198326440870869,0.9636007709563831,1.0056681817623072,0.974319729915779,1.1036938796594224,1.1717684138125881,1.053657756567722,1.1096203464025045,1.2036102541040579,1.3320933903156231,1.4481151947919757,1.331634118271489,1.4447471803146474,1.18703353959457,1.1632419469460527,1.1474740971895387,1.277435016358236,1.6050102491402884,1.547120023385341,1.6873224676663872,1.7301577122097167,1.6610347807983685,1.9063369440548412,1.811038563023609,1.6263030371144236,1.8537923619135481,2.0470934308629265,1.8300396212214733,1.8229405650399726,2.1617716965624445,2.1657425991154655,1.9775288995831373,2.19034030972393,2.3726609993815653,2.1153166263784136,2.188140918739988,2.541492198207495,2.5386152465074314,2.7407484941388605,2.8577403838894537,2.613420902545267,2.744750262489977,2.86516365224926,2.81755247426016,2.841723495043908,2.5400007689873747,2.4781445098163895,2.426198489979986,2.4514811311179727,2.37707750079636,2.7392340859018907,2.4263364420098785,2.0624407543709187,2.3247349712384184,2.224645419639006,2.074235659252297,2.358632710213391,2.5121793094587415,2.2283819101364357,2.086200476282578,1.9706729526064342,1.9459495970503276,1.8949302410240285,2.0504562388719045,1.9196517821812347,2.1601607069430093,1.805123895230686,1.86064581923389,2.0893921202458787,1.9133692542597953,1.7603879657035448,1.9951243118508775,2.089466442658414,2.0313010040373607,2.0547795343376913,2.3083934298716455,2.2838075754415317,2.232686736527678,2.3871634319496193,2.518919138728187,2.531100747848986,2.490519046773357,2.323577413279384,2.4081583361385026,2.6249466412907076,2.40122197022451,2.3894670961288984,2.569081975205584,2.5684079375174425,2.323104667497446,2.6069386883682815,2.7298665025327145,2.5167090423394947,2.393546165051025,2.8563342049603637,2.9336780806323906,2.6657040300968777,2.502990057731686,2.9126093287849266,2.8480858554737822,2.9409497952157806,2.412424190113789,2.2359395743376056,1.9202518704930143,1.947877211243868,1.8662561239595432,2.043395134708326,1.823175379814991,1.9074644145471367,1.4588025174381445,1.5283345911285384,1.206814932076223,1.3855218849191635,1.4689918627821368,1.8048773697989353,1.5016026520226236,1.2717875899644966,1.8491242281263167,1.75753945876435,1.2034109970676565,1.4178217393760166,1.9418289713003496,1.8507149222112202,1.716372351047724,2.487998855332392,3.0283673435747187],[0.9848999790611248,1.0346594230242614,1.3665696291813285,0.9797402874935173,1.1144180484975084,1.2236127735539684,0.991236284408518,1.0615598091229137,0.9885520729289808,0.8720106666689523,0.8583887432324001,0.8899646766109705,0.8892472315337654,0.7685362322025663,0.7724095515927397,0.8670829618226767,0.8787051037655514,0.8848180286268693,1.0277344414695722,0.9959235729106415,1.135151083120482,1.2471166562566278,1.333145775158931,1.5865034677670355,1.2951693311133303,1.141634486816528,1.074952806490397,0.9211107200118083,0.893854449497794,0.8660584026473372,0.8350404409682733,0.8911775443827012,0.8856817656649423,0.887200514853154,0.925478847746114,0.9098736393971685,0.9231501746274371,0.9728693358880778,0.9906025742693828,1.1381774942349332,1.1957015506755109,1.1350877927165757,1.2412178371519589,1.416283015245912,1.7345817038387752,1.8607631774249676,2.0110633335713293,1.578721085358928,1.4187086851515347,1.614607693988493,1.5508847815133782,1.3727149322576604,1.413035289379339,1.222565458549531,1.4884320564602107,1.2572588713763293,1.2234212323412081,1.349931359129253,1.2576187681329292,1.6686151934788784,1.2743337304466114,1.146193536913092,1.0567342421122565,1.2263861083150274,1.2528260865347889,1.070197721608026,1.1736026214606374,0.9366278096625958,1.0385943463030345,0.9054673504273406,0.9851019859422327,1.2112613653172113,0.9426278935715032,1.1592100939536283,0.9342245724567608,1.2156938622128834,0.9956804973057066,0.9719646097138186,1.030481705186455,1.1306095983530873,1.0388782780804886,1.1146579689161267,1.088038406729535,1.1507387187770786,1.146030974085712,1.0298917197621333,1.0112634860900056,1.0056281888554173,0.9793836321186982,0.9672779746094268,0.9011364154341526,1.065340150194622,0.9341716961245102,0.8340992801663235,0.8262556114414529,0.8317744973213651,0.9258699524849596,0.8760079501622394,0.923178844003433,1.0558892709244299,0.9633274231290971,1.1935629667777106,1.0596464478032874,1.19643615924652,1.1793983508061943,1.1907059399136377,1.416359869168589,1.48041155789202,1.396100168028861,1.2762203753832297,1.1682478304196795,1.0488853349611351,1.0134574729836423,0.9430045715042943,0.8821807583873582,0.8611816527675799,0.8923678247460972,0.979950221076614,1.1593906858396439,0.8745886171078703,0.8658727861638952,0.8632193533028113,0.8657792369421975,0.8505010821371581,0.890614299466147,0.9359293208560348,1.143652391221744,1.1400773466667247,1.2258425785468765,1.2186110827730148,1.3781296379297825,1.4972410960903846,1.3701274076647787,1.3215368613510678,1.2079402289503842,1.0886673286806323,1.1938515171268917,0.994173972814709,0.9128216110801544,0.9395696160521837,1.1412216551966474,1.2700048522651721,1.0140270256003923,0.9512078922280283,0.9771432417328403,0.9243071423260025,0.9161965419809156,0.9006600334316897,0.9949157175686235,0.9765447045494218,1.1340062311035255,1.1012542469135662,1.2656595538342401,1.6443410469402526,1.193983800812997,1.1049720044561333,0.9901281596040832,1.115386452134557,0.975517710766173,1.0502325316585028,0.9994359744677981,0.9783661887727411,0.968644539499638,1.0596938381877048,1.1379078346879252,1.103210054020225,1.197316738707886,1.3098471776986649,1.2481840001537539,1.1555202806213682,1.12202131922661,1.048621862157208,1.0743485155359787,1.0818694011121797,1.0555018814588568,1.0606489710920821,1.0142011712281427,1.0667123670587462,1.0930417856511174,1.1274367420020197,1.1704101020352708,1.1122124758480907,1.2393419883194428,1.3270235975010496,1.1890554241207714,1.2372786009797894,1.305880870346317,1.4310446244887836,1.5010798480377487,1.4100763832851706,1.5184562767517231,1.3112477255740502,1.2904215279861342,1.266161503024313,1.385614678848659,1.6831755385289915,1.6325217209783442,1.7639793389668554,1.746653988514246,1.6576873354152275,1.85825567123555,1.7439245411577202,1.566241079203176,1.757947968609667,1.909073605512447,1.6896333431217558,1.6738798278863831,1.9672672590998646,1.9518005392639683,1.766084471660494,1.9459645262208947,2.0920571186685217,1.8440199124051206,1.919974854189371,2.207865938110029,2.24251963560006,2.3961878789160544,2.5610901120398957,2.358610263277224,2.4536016257505744,2.5736618771028645,2.542546682035866,2.6112977914457005,2.3143005634307197,2.2961180093504194,2.2778964891496147,2.303297865068775,2.2792799807406015,2.6095795131667536,2.3620712770363173,2.0158079632171644,2.2556642769033513,2.1744744770413704,2.0622017192692916,2.405840463142925,2.520419849959567,2.1972389008480455,2.129031065859551,1.956913941235732,1.9713655992646666,1.8916873065472977,1.9965229650138807,1.8709223364871665,2.0383848004956935,1.742550756166922,1.7927289966658198,1.9402561900179032,1.7929666678027758,1.6642963977458878,1.8543223342954103,1.9113060340569283,1.8480720822058856,1.8563881310891013,2.070445487056857,2.0250817498595324,1.9811654961093417,2.097855213629449,2.216526360942233,2.257204523859083,2.2467855299808193,2.1265231248266825,2.2080178835981044,2.3739724233203425,2.1912405261986576,2.2353925609809853,2.366316841260583,2.3466459245255575,2.1749169753716617,2.48102451452177,2.533269233233313,2.346361141539248,2.300011160741332,2.774136316741677,2.807647042319435,2.518643292407683,2.335445141950737,2.8564373647057746,2.685399869563545,2.7023537245851013,2.1651638810227007,2.0224055900832942,1.7067097253850425,1.7463492558708094,1.7140814022049993,1.918081808218699,1.7805459124133747,1.8160738902198699,1.37581733858254,1.5104094038473825,1.2087462156503261,1.289036114319723,1.437232446582823,1.7521057293853692,1.4567035391062015,1.2253645498900867,1.7537113808802476,1.6545693615680377,1.177562745972309,1.3215409617611051,1.8208832395226102,1.73199761354076,1.5201587460454669,2.3401043114496436,2.756409164599114],[0.9138574079657156,0.9674925000704254,1.309861475607351,0.9855878674387151,1.120964532601469,1.2513496418053358,1.0245910462666104,1.0991527422722298,1.0327441765650853,0.9152250232526766,0.9070339759865975,0.947386444442203,0.9112730076641979,0.7973245215696408,0.786533533403164,0.872605226155454,0.8928571863702637,0.8608843232538815,0.9313343998595321,0.8841739216313752,0.98184209284456,1.0857371632014232,1.2016125223808833,1.3857887577617913,1.1757750250946073,0.9877064086455258,0.9502005113184955,0.8598419737591635,0.8642366314741191,0.8648117970889115,0.8294466352726979,0.8902092577956429,0.8819446611302664,0.8594313676471123,0.8905398394468541,0.86291315040835,0.8702149792405272,0.8939574219234889,0.9300808581063617,1.0558778604580334,1.1004776357641548,1.022697928549366,1.0978293879146535,1.2672662807363761,1.5730044693334149,1.725415607061613,1.8940072218870063,1.4211083594986276,1.2589619272574955,1.4383562183603642,1.3935663916705718,1.242795537186193,1.2653045396513587,1.1214908336423064,1.3890490198704943,1.1275493736722269,1.0862747533434405,1.2073756968988898,1.1241055179219444,1.514190543267237,1.1490167071154473,1.0288614748499165,0.9181227144739772,1.0570439061715626,1.0884841633380864,0.9574507614253233,1.0714252910036515,0.8622159538716515,0.9753841884983042,0.8788562260430014,0.9396880834315218,1.1472388473411916,0.9057316914866007,1.1019204149017092,0.8750983688076547,1.1531236866246712,0.8908856894656872,0.879417124837147,0.9363586166789015,1.0284569713564025,0.9765056955577558,1.0131541510924589,1.0297855647000425,1.0878161009079017,1.0578308441757727,0.9773365190968631,0.9462823356173616,0.946376937031187,0.9024555364099439,0.9037451353027353,0.8666317322603497,1.0124895462220709,0.8940965029561805,0.8289417830672966,0.8401905110540762,0.8659022096688598,0.9610304338185859,0.9217583100825646,0.9749483914442812,1.1071119778574694,0.9976447359494798,1.1990683064262755,1.060121439466999,1.1689911443811156,1.1104783498591226,1.1615838216577794,1.3836006812973443,1.4350780289573026,1.3346061836110266,1.2249114270327408,1.1328198944511187,1.045043361168167,1.042110998667783,0.9618323012469397,0.9057241463191933,0.8519312937501194,0.8413925920876948,0.8774558228017284,1.0110424850003759,0.7944620168271765,0.8152145492721581,0.8632299337706353,0.8582367014913509,0.8741096844092068,0.9294543607794487,0.9525168260705006,1.1562704661675163,1.1339506800395773,1.2020543798069996,1.1805846368349517,1.3300742363276847,1.4251356081088458,1.300653622319624,1.263433599018206,1.1613179191905687,1.0560225965475425,1.1556865339596023,0.9671363318405933,0.8949170587593598,0.9046407375615635,1.0046807496229886,1.1191610100595804,0.8995754209804041,0.8877228459862943,0.8984267375195842,0.8783963373957163,0.8910464418812596,0.90086468370857,1.0077824617337365,0.9943289747536962,1.1548264542491788,1.1227170114050078,1.267977225921402,1.653458173618249,1.2225115572814313,1.138104848268821,1.0264288802383295,1.1345448781024494,1.0037164088149666,1.0487956794017197,0.9980897977446532,0.9510080011004506,0.9218855235445352,0.9980938145627589,1.042525257077122,1.0247516161103274,1.0951796829024518,1.2070730858483054,1.1623766465270962,1.0639133498941757,1.0562962136977825,0.9963536285418808,1.0222112854979677,1.048833093618951,1.033198775642739,1.0304116331868267,1.0211488133355682,1.044298619142051,1.0533675932022861,1.0856154701916476,1.0980371793416304,1.0772990043602804,1.1648869494797478,1.2383967113802707,1.1234060769660978,1.1491521188201996,1.2126826954031371,1.3095657910768812,1.3160894626121542,1.2620901113466398,1.339401501375991,1.1914959200292434,1.1793016937143888,1.1957187660718935,1.3081052103136357,1.5964414854990852,1.5660673450860974,1.6621208919580184,1.6441389886578723,1.579098359745134,1.7300486020202541,1.6360254523309572,1.4883472293590267,1.6422148399546526,1.762060059662001,1.588181064486971,1.5895448236421656,1.828245814601242,1.8046473681512187,1.6676731245692122,1.8200229328557922,1.9232148462551741,1.7220729919601059,1.8120489059439322,2.032110386809114,2.0868900439740625,2.1669806288193514,2.317413933002519,2.129621971758789,2.1862993203322265,2.2488087375463217,2.230657183105478,2.280218597913634,2.001873705024704,2.002271789119333,2.0101100197780273,2.107778681179136,2.035642239411315,2.354561576088252,2.143803135914136,1.8059517870151738,1.9837923924867873,1.9237687142283826,1.8599511374767896,2.201067112842637,2.2567017249513923,1.9935311590847435,2.011298699055279,1.8094589294108199,1.8516630810200518,1.7329788995137763,1.8306081555019629,1.7277173197889466,1.8648676252314726,1.6131240708955403,1.6635202338455024,1.783930306429141,1.6572013938688896,1.5617724250419784,1.7188672316336464,1.765387847748073,1.7261875427959543,1.7312594653465734,1.899600463316155,1.8639114713308058,1.8338399041645983,1.9256359541386443,2.01108550764882,2.0431111528295895,2.023798591343893,1.940113195423993,1.9688572347089608,2.1050927268373387,1.9882442653188968,2.0170232553345877,2.087022749692677,2.0851362639064424,1.9673269364481851,2.1979911510990044,2.207142992055033,2.106965229524936,2.064771284014527,2.399141826863257,2.455802986594338,2.2447388282858802,2.1611932426260605,2.5955419766827506,2.5678252017698067,2.478323362442049,2.0589584190293255,1.9156370509185292,1.6445895721120722,1.70407460340821,1.6774996806379932,1.8715776946701426,1.7100438490985275,1.7108582106039893,1.3207820421830303,1.4495930494766402,1.1815273249892468,1.2383720033833026,1.3851203654120363,1.680365284926477,1.4041954174084978,1.1981559476775667,1.7114661498475936,1.612897078676784,1.1762249197359305,1.3087634042881453,1.7787654334913587,1.696160906511715,1.4811100069574774,2.2793314847590427,2.667532607378626],[0.8437563722358552,0.8788071495781494,1.1906388749381793,0.9778031475201282,1.140780579954225,1.3090114360183687,1.1114071732177935,1.1582758812755827,1.1502843696303795,1.0768799069475101,1.069973167359013,1.101120887124035,1.052578254307911,0.9851197154980698,0.9447666724366783,1.0035680263830764,1.0378349606906196,0.9812622557806077,0.9664442357817407,0.97813214871861,1.037806681112114,1.1073738897257464,1.2592460316401282,1.3878241873487203,1.2315401805438266,1.0201131145739473,0.9802055485329253,0.9478763386990355,0.9778995024106033,0.9853491265695158,0.9652548604094614,1.0060257441288036,0.9964232373220129,0.9650606725439314,0.9880463482878379,0.9716720508444131,0.9527378011248205,0.9690560785539388,0.992945561651554,1.0770744068184717,1.1001857603596188,1.0388787374103403,1.0581134949172781,1.1952255652839634,1.444864116901908,1.6212113412321125,1.7979500085704,1.3135024529427988,1.2008552931566245,1.359438057066356,1.3444827712506842,1.200592066606614,1.2218551901206938,1.1403674943192805,1.424676304030702,1.136652202031133,1.1146474321209678,1.2019568384947243,1.1605826398399788,1.5397623822380617,1.1760032549342774,1.0877392437013864,0.9896468358826969,1.0892798665199221,1.1093072048874775,1.0336162187314117,1.153748398921015,0.9582157362042303,1.0572396203525154,0.996673176913355,1.0244004493601757,1.1851368181596973,0.9994762277561351,1.1374137030410127,1.0119620405505279,1.1337293778123525,0.9534488490984679,0.9617299802719176,1.017815695283922,1.0941568536777195,1.0352795060800148,1.0386491808248395,1.088559211490267,1.128747648353838,1.086730470112081,1.0396637454119648,1.011266912597808,0.9964220518568441,0.9882392806579052,0.9955390450749483,0.9774744471892455,1.084120284747135,1.0193456143261785,0.9860674138711175,0.999955144534271,1.0240087873660988,1.0942926494747511,1.0609880139707386,1.1032189187903338,1.1776306609300384,1.0746418509403035,1.2120070914857202,1.1094245247705288,1.179569696725609,1.0720622882412183,1.1411985956276327,1.3044438789044452,1.3336554383424994,1.2312127961859038,1.1497301419934787,1.099760585720561,1.075692649858656,1.1241002226981431,1.0764608087761343,1.0592808258609128,0.9846717422117199,0.933108209585372,0.9047426138118343,0.9482016896117438,0.8887286545439274,0.9143498619883268,1.0132449179909249,1.0162750778847145,1.0593007977814886,1.096437339513377,1.0807445785375136,1.2124740315963694,1.174502057055306,1.1857803588986855,1.1566792433756057,1.2852785971694263,1.3309789303091217,1.263001401733432,1.231726180402511,1.1732557216263881,1.0962236732028328,1.1801498273147362,1.047649845988266,1.008199491640615,1.0076320352163282,0.9709151900719621,1.1446453666261236,0.9548248446848588,0.9749473693673454,0.9650584443909704,0.976498873259027,1.0002887693678795,1.0189932404809303,1.104429363298824,1.0843837658072688,1.1885696160029056,1.1654770334408922,1.253538652008436,1.633132146210323,1.264014643868955,1.1805423491187959,1.1026767088438278,1.1743459908399356,1.085182759695336,1.0887262338168013,1.057234105106784,1.0195104543914733,0.9845094853627473,1.0459232511388088,1.0580494425489377,1.0672894229562724,1.1010052871355476,1.1842830983746615,1.1704778827239897,1.089547918486767,1.087133734408979,1.0551164959780073,1.070597043674947,1.090895754194617,1.079474325474414,1.0648602415152573,1.0756789750167903,1.0841880408236266,1.0931392718211537,1.1106887348485874,1.1165544558387157,1.0919563272535484,1.15510022904502,1.2292930876943853,1.1358500198526842,1.1653147625822418,1.204496003924505,1.2691495534086537,1.242467585249597,1.2323372933088084,1.3016551448123876,1.184862050878897,1.1695237929451014,1.1850660792167063,1.2819851690568853,1.5395646783044092,1.4883301183619626,1.491009270618939,1.4270197767742414,1.4114479394485404,1.4330856532117722,1.3809051489267388,1.3033186435484352,1.3595129433861528,1.411951752982431,1.3369201555140011,1.375015812715011,1.4749930036443042,1.4517394269449635,1.4198561355908592,1.5155314200791357,1.5497735586629775,1.4451022195479446,1.5650723752354398,1.6884498471545129,1.7412646429987462,1.718475568726486,1.8003586294909513,1.6281762585237944,1.639503930593595,1.6303131901179166,1.736548172978723,1.745910594622797,1.506209120537454,1.533345620122539,1.5044681411047474,1.672308963913701,1.5802223832023612,1.8457468310170873,1.7014854702764928,1.4321601136416784,1.516842313729823,1.4795186714188748,1.4876843857114965,1.859001439121587,1.8074093707455587,1.6069464239520757,1.7779348310235363,1.4850278892917943,1.6183598369763772,1.4324075838459334,1.4787280561874927,1.4368516933867264,1.516297128124167,1.344801171192976,1.385272923643438,1.4558574276460436,1.3632865151467788,1.3239745505079914,1.4010890848415423,1.4248617158202324,1.4376187196149357,1.4292449414224835,1.5124113745343015,1.4981027758807937,1.5246962708940899,1.5358203830167367,1.5536217676174928,1.573329226336614,1.5498408895078044,1.5217480295611585,1.4865148335180396,1.5648780416543988,1.5331545954218846,1.5468905854949253,1.5300840352885132,1.5357084732769768,1.4986136069217784,1.6376095877376364,1.6064741053999207,1.5745201562181677,1.5521018699162275,1.7581080852492061,1.8279816237991442,1.651287348168692,1.7031656139364213,2.0988943821219856,2.2469302760394743,1.9809784132211923,1.759629536603379,1.6270788675079142,1.4871091402787877,1.6230395286705994,1.5776215550335513,1.6710835908025556,1.5125219151458202,1.4326653348272262,1.1817319779048037,1.3166383364036323,1.1487768146267565,1.131844953646034,1.2719873331378961,1.4941057282014785,1.2842053250334275,1.129880580218585,1.571744716671144,1.4600982852501023,1.1387899525588239,1.246735317503773,1.6414909575032322,1.561114071542954,1.2747899459409255,2.0052260922041283,2.403638642495211],[1.494891953076518,1.6029755768702694,1.9091455050017936,1.605700671471933,1.754767376820808,1.957692964918574,1.6850631011721673,1.7637560975812385,1.6894113654639455,1.540338943650739,1.5271684423525254,1.5969118276616685,1.4924172814602052,1.373788633668663,1.320468077128994,1.3759319380983062,1.3441446330757743,1.2395710558047017,1.1160399357169641,1.1698449835018048,1.1942108479118312,1.2605041002639241,1.3685804977189246,1.51494743986766,1.3501187891017383,1.165180618468151,1.1418472123399679,1.1707985910544032,1.2548390468582826,1.341645659414279,1.2928466044159344,1.4179931368353411,1.4177976136824741,1.3173904982407063,1.3308435419791502,1.269751147015585,1.306887851255151,1.219632811865968,1.244322578556466,1.2797002536335849,1.2725164349092393,1.2004207718190645,1.2068451133784497,1.3012525383469973,1.528999894287204,1.7157100447470226,1.852143713552159,1.4045957694521842,1.3177094774580016,1.4624831348716494,1.4797642286513328,1.3268765224391679,1.3988403549266173,1.3393305820388846,1.6587378236379133,1.3196077241850734,1.3028322627036613,1.3570501698636974,1.3208133378356595,1.6461545096488501,1.3200989585668796,1.2551890462733177,1.2054480552316955,1.231706736041364,1.2534491609356364,1.2101357722701598,1.298824073515148,1.161285980230025,1.2356612357443193,1.214179144275936,1.2067715566755106,1.3257169301614715,1.201232228664244,1.2915469462274203,1.2421895254289663,1.2164299110343884,1.1719602509104603,1.2166081877755115,1.2762286053229701,1.3145721568780813,1.316444952986535,1.2805474191682773,1.4226798305110842,1.4981670781707657,1.361160803524566,1.3451069449012307,1.270070303138076,1.2996671675194105,1.245342265565818,1.292011159062015,1.2748371730507075,1.302127813041555,1.3123721795712422,1.3509895382645252,1.3826754421266834,1.4046814501516378,1.4787063609175972,1.5162186105796962,1.6071866770178957,1.7606261281694973,1.5771872283254322,1.78719950513001,1.5988443241693613,1.7462494691768446,1.4657440190085456,1.7166962664176133,1.9119522834253646,1.9398494679209317,1.8888985224204857,1.8258541490724622,1.7296708225181396,1.6113983453837941,1.6654143403919937,1.515851836043719,1.4372093633922693,1.275312948370546,1.1611691101284187,1.05270011025539,1.0439539723821691,1.1089036185901928,1.1289408390486158,1.269066780936001,1.2422424050320207,1.3764635727747097,1.524688239839548,1.5101453060806629,1.8103954443080752,1.7006978573726137,1.7679448158020201,1.6854553833614407,1.7974094411468866,1.8540015191538688,1.6277939155545669,1.6445909844374664,1.5230559814661997,1.4812596064660353,1.573633310263401,1.3618872215869295,1.2451218263797723,1.2285192558530516,1.0918582548727513,1.2728986799383555,1.1220712091547305,1.1822594903502923,1.185789601443176,1.2535233652923987,1.2995522475624564,1.4067046798100384,1.5741462736395129,1.6139474670584106,1.79105265658403,1.7926701699838739,1.8758644892674834,2.2445340744654825,1.8593922468528026,1.7934576962244027,1.6576420568038248,1.7532903094866386,1.5759622892477807,1.5988780500791615,1.4604825612658396,1.344397460922132,1.2474115943870812,1.2875493931462596,1.2541300838930358,1.2356359627042244,1.263318543552886,1.2955077000470783,1.27446344384304,1.241820938741438,1.3112128687350681,1.3035909288298049,1.343118457150655,1.4134067114155198,1.4238498074068753,1.4759938908664825,1.4694975552441452,1.4995083414853185,1.4319705784465302,1.4993221148746652,1.4217869692789757,1.4989174741272169,1.4805066573395338,1.4880111373282874,1.3692440406246822,1.3477875178467773,1.3399211496275687,1.3971478407162763,1.3367864635658426,1.3705960727672228,1.4210777773040508,1.3397173576310055,1.3336008107088895,1.372494214932461,1.5175879712155766,1.8168513523390706,1.8968826635219689,2.091497049244379,2.1280693457079223,2.109326957127172,2.2852403274647797,2.241188756940917,2.10436706379908,2.2682868680187664,2.385025998706366,2.2636049315106948,2.2599102094898935,2.463656946265445,2.4478376217997084,2.3415219352857197,2.4539068086464897,2.5252441171439344,2.376426389656795,2.4330943495677646,2.5725479735099874,2.6191041739431116,2.6723381420770385,2.7505846778712786,2.658797495231549,2.6925341617310554,2.660845934881326,2.5724764107012144,2.6968957015610835,2.4091015052180054,2.3983790728033045,2.4228528141819443,2.5470319340446768,2.4586235626118724,2.7219327134477083,2.62450647300844,2.2506702118856303,2.3024772163573406,2.3020300938191434,2.283953523567676,2.5456577861524545,2.5272637641397493,2.3614965787307,2.3472470535013628,2.2953332883751654,2.3040127009990155,2.207038788205734,2.3529252176840942,2.274544256604855,2.417414307612625,2.173837963137752,2.2395645354183085,2.398172047317174,2.2756157503361965,2.1839967582042092,2.3538903585292577,2.4058984655173417,2.382744816875787,2.3826320942910937,2.5223401199501834,2.4998171150333617,2.4330889671924005,2.547180002801384,2.5963299088509166,2.620151990042607,2.598062351127559,2.5329133966349966,2.4847575365590906,2.6057678043960513,2.569545150448005,2.568230712355922,2.5561823465020996,2.5900038953063365,2.5067954812429565,2.6132812169671387,2.5832683490940473,2.598831668067062,2.5098159659990693,2.706610990373901,2.780302994505247,2.6456219125823113,2.663005445569522,2.971022854937885,2.906333221113984,2.8427453894791737,2.5452929463461342,2.5238946241540967,2.2942453120499136,2.2752089683953156,2.317878176471875,2.465099375050851,2.379442438599545,2.3275169759478165,1.9173804141924333,2.012882727000618,1.7872118344347752,1.8630963729886616,2.0955746688022505,2.4436941801680563,2.1150687336164258,1.8770505510781919,2.4618180358397157,2.3723573224344454,1.802645587468477,2.0146482725749526,2.50540703465199,2.4152662091530828,2.258660446332996,3.081476410867849,3.2367425430178667],[1.5570937157906857,1.6257389372327864,1.8337630996054255,1.7715334853427653,1.9649387477823328,2.140612340142499,1.9885108678333412,2.0164158158285295,2.035282853935287,1.994508769518723,1.9842044004276311,1.973295337092308,1.9380102440263787,1.9071226559667513,1.834677961171404,1.8522272181258925,1.8699269279549404,1.780114114008407,1.6583823244007576,1.6847895797316637,1.6788961096068376,1.6617953597029174,1.8029093111326724,1.8725819644196176,1.776269582959597,1.623323212257091,1.6067600563347695,1.686212987795902,1.7596856569357437,1.790928296365954,1.784268368497292,1.822904996415219,1.8304485359652796,1.7509120907034192,1.7538503757268284,1.7287192342895197,1.7100982701333178,1.662010545474954,1.651345726062431,1.5898879544824087,1.6062407872938038,1.5944288745761466,1.5242045474643295,1.5394046593593627,1.6307785910949064,1.7516124539895428,1.8691394601585631,1.5095724721624342,1.4833523011406748,1.521317083540811,1.6001079027975895,1.4975849263090484,1.5598656051523356,1.6044921182206113,1.8881823497286205,1.5479812888956768,1.5701572901814096,1.6451447872810725,1.6207756175657486,1.870440825843332,1.6471623560995565,1.643125273924381,1.6554341596047764,1.6465583945843658,1.6611368823052906,1.6690273535935687,1.7895638516305392,1.69818636480481,1.7819526891266566,1.794960264871754,1.7832517265277745,1.8692700160014541,1.7773047982983214,1.8218471063577577,1.7989445114395657,1.6585332875036634,1.6468307476696322,1.671350144548485,1.7001406191943107,1.7026926967901619,1.6872405845047853,1.5988824533598913,1.7135989079203597,1.7484715487675102,1.6515590971664826,1.6948129737197297,1.6733348243328992,1.6707303539413045,1.691449742232532,1.7295902048178686,1.7633822385888085,1.7790374286348258,1.8069617184478235,1.835927054148076,1.859387751714613,1.876791091774603,1.9226866068447759,1.9124494303854955,1.9650654910138556,2.027384295170304,1.889689274660682,1.9615823412225468,1.8609096261892422,1.913065285856821,1.5535659926088385,1.8377148735034763,1.9102006454190814,1.8934149131347917,1.8787639485689118,1.8685830154085523,1.8816338942772368,1.880437034663739,1.9905362163649871,1.9388734682626974,1.9338913451272388,1.8122776346486789,1.7024635110170312,1.6001522608101795,1.4856457289392262,1.6787829340041642,1.7135586711214847,1.8486816261792363,1.8370683498095013,1.935465724879314,2.0007336734635452,1.9603825128321066,2.082012360965118,1.9864400713185704,1.9347138485142596,1.822749690173386,1.8740326360519286,1.8176617976881382,1.7068560611417565,1.7324636179520536,1.7259539407993303,1.790103990405215,1.8714077692647102,1.8235329003869445,1.800953549745264,1.7367749798558045,1.5089884320622466,1.6918843214359003,1.6352994938169394,1.693163657552572,1.6288964205575895,1.7144492675966712,1.7783536227058996,1.8408787596600953,1.9280342244366881,1.9533284058411993,1.995170428267103,2.016136071706496,1.9923049932223114,2.316080200825304,2.049076940313419,2.0146370545542522,1.9419687279124265,1.9669751593131974,1.8926380195873003,1.850812053664809,1.7941247640586595,1.7350837938050896,1.6642882147519336,1.6500083803777774,1.5450437158295034,1.5516551064398056,1.4762814916412486,1.397411383721745,1.4378226062219852,1.5407685195015162,1.5987797587545272,1.676141482737549,1.646784927679347,1.7000645766431557,1.7173505607330475,1.7221007456201234,1.788294484306998,1.7463398504183592,1.705261998266697,1.712333707884312,1.6517032215291423,1.689139622475921,1.6072415536559996,1.5980151585682747,1.5474493432135075,1.541469187632811,1.575613530285277,1.5317726103061937,1.4355975911704213,1.4748975400418007,1.485058768917619,1.4639000675617224,1.4227813643867193,1.463454004700614,1.568891045559703,1.8103909919807457,1.8917300834876838,1.905456260440746,1.8645682690161263,1.9255838950364716,1.868926650832087,1.912315097841982,1.9175134003500829,1.8889033968913946,1.8895285245309894,1.9455584018471992,1.9809380567110226,1.9411785254949485,1.9555962723366627,2.005471533156287,2.0135084087908894,1.9887108280482881,1.9858610028496042,2.0714318569717003,2.0583026298556,2.0784468632114703,2.0024595811650308,1.9808230135076421,1.9165748938896998,1.8924968334025636,1.759373823008202,1.8694212975922977,1.8722688428802066,1.701391270711376,1.7393563547688609,1.6928952222362479,1.8776978342057276,1.759810432599271,1.9392167745540168,1.9453826185803247,1.6605457160933526,1.6207692724522678,1.608978032998717,1.7161342965969069,2.0639075644442753,1.8541994166259983,1.7359705262658836,2.0118038947735934,1.8188168959365132,2.017631106308477,1.770111701171663,1.8423789694027064,1.815603127181162,1.8829418356471126,1.8287658949195067,1.8650288755682534,1.8907119391185905,1.8840342420087315,1.8929164465161843,1.92736338522561,1.947798386162013,2.0009267864386264,1.9953138884923263,1.988354068625648,2.0028273460897603,2.0527271184942126,2.0069122741849705,1.9585171162740835,1.954696561239164,1.894747549058187,1.893730696755886,1.7724659341990794,1.816709213442884,1.8966334138407115,1.8489812754739268,1.7374577109143956,1.7676951619031527,1.788140109732529,1.770107905741291,1.6863218479600222,1.7698932357823451,1.6948554600073837,1.7606890073450512,1.846380481883337,1.7324156406539675,1.9438760752108943,2.257367741315276,2.392273270316483,2.085995101491224,2.0366152535749427,2.0442186253982118,2.03198242948053,2.044353296874894,2.0781717347927966,2.040245763936386,2.095607956249474,1.9199424024956424,1.8779200630173978,1.9362046571431555,1.923333651245496,1.8653479615147068,2.026378909563222,2.2335922622468356,2.0475164759873064,1.9214535083547988,2.277529976594446,2.21163954233187,1.902361360528299,2.028114860206855,2.3428318340923395,2.2672619305163697,2.118874091367017,2.848095918049645,2.988003610656073],[0.8930347241008976,0.841834667746361,0.9439972731927316,0.7879020579768747,0.9834692351420007,1.0833344503782738,0.9725872995168071,1.0454329114345156,1.0281232993912899,1.0565589005492124,1.0603233185668555,1.112128649931604,1.1103217280048108,1.0462610946656863,1.045222409823039,1.1044373373479015,1.1740800414755255,1.1802770528724247,1.2115811196623618,1.2369529971649846,1.3304257922968625,1.4049247823003264,1.5464162591795692,1.6685521146446256,1.5004584140117834,1.2964086204583574,1.2516407847714364,1.1879844762403058,1.196336283788992,1.1367178031331684,1.1182471561866134,1.1060945332265113,1.1062124517038334,1.1369284307408947,1.166209147651571,1.1822218582009678,1.1977100283543376,1.2131847529826454,1.2762583291729523,1.429978975562077,1.4047440542177552,1.334103876265884,1.4010535777442188,1.5097521480133909,1.6952711868899037,1.810382841394624,1.9452396910089276,1.5971907808320027,1.4949936816952065,1.6277550040192013,1.6265717415096934,1.5416945690680808,1.5876060479833214,1.4949957508511558,1.7152049495771022,1.495744707494629,1.4671230742456185,1.5617648253692178,1.4951333819409385,1.8627065914499743,1.5458151520615904,1.4495453724154754,1.3198337900920225,1.389716253895037,1.4530851027474099,1.3451351539662928,1.3950287870395004,1.2063584366370406,1.2628450384158847,1.1898636663299134,1.1796947954375168,1.3427271730518944,1.1823944173611831,1.3425780517465304,1.2170432988554887,1.446779572998276,1.2702232872613355,1.2554825401927492,1.2900236090918027,1.3852682624126702,1.344757396406468,1.3908627385765666,1.3521714165333456,1.419853021715764,1.4337063148156926,1.3531124903163343,1.3075890002682737,1.2772368476324176,1.2440902316314226,1.2461769601564936,1.2100713486687815,1.320441072118506,1.2308185738479975,1.1488833662663585,1.1077100680423055,1.0880037466976156,1.10303490504534,1.0818450482165445,1.0661817136384868,1.12035246863869,1.1027837548514805,1.1876861014860112,1.2005457985797516,1.2868838942990894,1.2736260449304968,1.268747128417886,1.4144357020454663,1.4207606828982513,1.2895519675169456,1.2309924280362639,1.1449918835648756,1.1304234913420614,1.0995274567203426,1.1058806640699723,1.1303293299328037,1.1200106479418268,1.131615927061193,1.1278220985140681,1.1606441715392268,1.119694522985002,1.1063640480861858,1.1367528621650156,1.1326670821745515,1.1134384637809844,1.054973349802256,1.0775638706514052,1.131859739805934,1.16805062693743,1.228866256801892,1.295496500440577,1.390073579207623,1.4677385122129032,1.4938762809507504,1.458342924358736,1.404257651261419,1.2776871673968069,1.2840986879924894,1.197364376568721,1.1672475332844878,1.2106312963694217,1.2208717410642658,1.4733324546401483,1.2407762406469522,1.2377675077127857,1.2338529145178372,1.2121445254655823,1.1959560921010954,1.1256290542811074,1.1713337192311764,1.086619648525604,1.11415205150774,1.06669648209492,1.1609655433417427,1.3880982019951795,1.117628841753986,1.1085994016847316,1.0805290699929488,1.1387151823311408,1.1080345509122234,1.1754132016252201,1.2175682785473056,1.2436583767544247,1.250547526400654,1.3564623927616035,1.3939667782742036,1.3946490442430606,1.4459140170561118,1.5329180006021066,1.480583390680129,1.3652500559114062,1.3628467729716163,1.2941356999645528,1.3570200594614579,1.355011016543497,1.3303781277787283,1.266624279000001,1.2361015150819665,1.3080658610663645,1.3793250638687347,1.3883796005349172,1.4482076037778377,1.293052156191684,1.45074799091809,1.5539059257534606,1.4658456462302782,1.515696087307778,1.5461590884178718,1.6213723029189642,1.497059105212623,1.561496615787658,1.601386234244434,1.5616618239220459,1.5253521957479512,1.5188202171573206,1.5791576793461852,1.8120119056387032,1.6436526639197937,1.5957236349947352,1.4280483525812842,1.3730874798275856,1.3705082295184976,1.2944401337354607,1.21313399049697,1.220392790761215,1.2583049320276334,1.1660750513572655,1.1655200846105735,1.2672193734195565,1.231596369620351,1.1595462564942176,1.2685362648712741,1.3072797943413983,1.1767415259012177,1.2853925915806128,1.4509198152203187,1.5081447532890624,1.5060445256832078,1.6426507449647039,1.4501281345547135,1.472368650906358,1.5019242907808528,1.709278284938527,1.7146956173270809,1.487804210667482,1.560314027565479,1.4825831151153717,1.5399835764288836,1.5744072772396025,1.7812881227332618,1.664941000948212,1.4890394402803144,1.597996354934214,1.534920670782082,1.5501844002276628,1.9910242051279265,1.8410752677331716,1.6484558447126731,1.8087131751143788,1.4738075098372565,1.7017872932410356,1.5003718275341644,1.4542432899148092,1.446084725851356,1.493173830388348,1.3767062638564849,1.3769165730926132,1.3955216707550369,1.3249044694991723,1.2664025456327068,1.248998953852201,1.2435377105945928,1.2266355940837526,1.2033155745846973,1.2987821527712025,1.2512389636912495,1.2783183467748325,1.2866604097716419,1.3320527094385841,1.3709607011358467,1.3668396435770744,1.3568395641079947,1.4074259290613509,1.4117024749072018,1.3617125366574243,1.434194271402,1.4328088073334033,1.3982859217440171,1.379492602945825,1.5891437581453467,1.5630881534838195,1.4772388524335207,1.4679047693144727,1.8094076017033178,1.91988236718856,1.6313338187305189,1.589815123321389,2.19003502259398,2.2387381372025246,1.934558836143094,1.580286123029757,1.3957020405557512,1.2434223221419538,1.41090240263789,1.3533073175313188,1.4635939454918665,1.3332893928245977,1.265348844717313,1.0713557769656314,1.2407909096448362,1.0958379628724133,1.0481735671522905,1.1739433154673442,1.3099430903259965,1.1817083452787334,1.0159474698712092,1.273971857135471,1.1706271051563886,1.0126730829962838,0.9917591409932107,1.3278369934539596,1.2203739310472554,1.2140038997938372,1.982053711327179,2.440270073445098],[1.0784731138716275,0.9640067193145843,0.8469517882832395,0.6699377116728933,0.7766443141345117,0.7765628390240381,0.7326161351327312,0.8117103262196143,0.8128251890815926,0.8975010776977252,0.9190268934298785,0.9018217738867733,0.9473251373400636,0.9368913148101143,0.92636462589952,0.9861106682008348,1.0925885412432281,1.108689717430327,1.16901486818315,1.167992587335808,1.2909464656791643,1.3348596422776478,1.5400576739431653,1.6747094384708243,1.4947639185547332,1.275406546065543,1.172031960499645,1.112633849458436,1.085628091267266,0.9970973154341889,1.0132015166297887,0.9566873331247766,0.9554530648687167,0.9985745307251868,1.0290028326040113,1.0608117102014483,0.9987919680174395,1.0779308614683656,1.122071195073801,1.183930669722807,1.2640328703146395,1.2298396990081726,1.2287465579094203,1.3421481267673314,1.5322263677798562,1.663719977852517,1.834787310236513,1.3827438449522247,1.3047624173890557,1.3797614190610548,1.4107738955011375,1.3069016548064925,1.3416253337584723,1.2697397747338084,1.5431454931498545,1.2770790829311842,1.2758794435723892,1.3392799884257671,1.298343194245885,1.6826118968610182,1.3577197215155,1.278259972693619,1.1900750673781362,1.3023120158973682,1.3422880326215079,1.239768610529346,1.3659901188099102,1.1360921658153362,1.26213330096536,1.1459497986068752,1.1887945781628613,1.3743014114895564,1.159452552439655,1.3355230395603648,1.1685647873208689,1.243068815229323,1.1341687760623638,1.1115946961464291,1.1457348349557785,1.2185940111715234,1.1378405795593018,1.129649083334502,1.1116228832505988,1.1320242312750965,1.165886307812775,1.126584609060666,1.1262737736877766,1.053405123258514,1.1108758188586472,1.081005325560812,1.0947031921213881,1.1998731209713087,1.1042954086165244,1.0146244803154476,0.9891141854909726,0.9834984897390048,1.016778611439539,0.9452552536871166,0.9031431173068939,0.9251863569312304,0.9095783816401334,0.9690165886306151,0.9732616018651516,1.022607724199534,1.10040074523388,0.9958886687557003,1.1045372013849057,1.128000941027892,1.054809809186795,0.9973620200206363,0.9514365731237794,0.8925727164968649,0.8676382050720848,0.9336534864307556,1.0040127311184004,1.0429126592876097,1.0657285385541175,1.1190601207681232,1.117052056563204,1.077599374567621,1.088022411302768,1.092781474444071,1.1103961421890163,1.0381491470570905,0.9083733767799301,0.8967908550435258,0.8740717800653265,0.9251285510062005,0.9876738362870078,1.0410422718568273,1.1446257221962095,1.197652247275203,1.2227842415455294,1.1822750859883668,1.1486724948015574,1.0408914667669484,1.0798004697660302,1.029130161078928,1.0849608899371503,1.128078623453963,1.2135113957484585,1.4519145140772147,1.2363876073171929,1.1780912221859936,1.1369781523012525,1.0767414580971069,1.0664816423734411,0.9723745533392736,0.9661349931827398,0.8630218148565152,0.8562166889897296,0.8212894202109463,0.9595832045316597,1.1685650230001756,0.9092522178626365,0.8857070135950507,0.8667210135879773,0.9103811115311574,0.9163147515495322,0.936399465128152,0.9943942537012087,1.052976164826077,1.0824385815348714,1.1460506988275552,1.1664729690471487,1.1946800730012042,1.1763571799092303,1.2037505389607224,1.2073922172754012,1.1881167146213032,1.1474460117614542,1.117780443428598,1.1172955438676433,1.111894559766562,1.0869201888814342,1.0232970660792224,1.0322037746489592,1.038194265615223,1.1149792328333032,1.1082445347254568,1.1645572534837392,1.0487413298041715,1.1425015278349042,1.2258607643886692,1.1520010956759112,1.1999480093689012,1.274863953701192,1.3120429974830112,1.2906637059025092,1.3053916997957606,1.353030770890306,1.216583570674993,1.1808327994419643,1.2244098338396372,1.2992645490841954,1.5732571524194647,1.4307695077907134,1.3404740120628913,1.229531831373422,1.1678344795968154,1.1553929455944467,1.090832165460275,1.032836575739922,1.0403488281070736,1.0498194817498887,0.9846695861008766,0.9591850528403438,1.0351879183572352,0.987788432441898,0.9087232037007241,1.0042737857632524,1.048659529535614,0.9260813255840777,0.954026545611795,1.1247212783252933,1.1986946776701186,1.1645727727630022,1.2723544999436835,1.1446103477907954,1.1474951553566066,1.189725870457572,1.4935148980930748,1.3767783646304355,1.4920624351732994,1.5109785060571765,1.2589026410129718,1.2777733195051098,1.328456598579478,1.469310950951309,1.289762847646409,1.3034757510031583,1.399995982823391,1.305790042036065,1.2770760843448883,1.5625019019761464,1.4289168954428384,1.4317284331512987,1.5177037614191426,1.259021862738513,1.4581545839334957,1.2846980175794545,1.2345093911516847,1.2746086497993916,1.2977795046044955,1.2269471274236963,1.2035824645146211,1.2306732512810579,1.1592604546470253,1.1293244551977424,1.0399326190886482,1.019723435256368,0.9990413085740055,0.9667944520552137,1.03585156135782,0.978247765416789,1.074769189844861,0.9868788555946888,1.0334573925486628,1.0636459326819507,1.0889328085478784,1.0933150749558715,1.2216516097575554,1.1355400169528285,1.093671193165283,1.1695931166611313,1.181463156576788,1.1446872812804438,1.1526982307568114,1.2579983345865096,1.3484207673243576,1.2679786545699185,1.231741283883874,1.4535313199794677,1.5860622451102888,1.3760349032346002,1.3639971763127814,1.9565786298374466,2.0063509311521828,1.5133805010022117,1.2665510279937897,1.129925212227155,0.9954085080779116,1.1789727534520524,1.1373983523643865,1.219523759626923,1.0649491745250497,1.1156651973218972,0.9949276231254746,1.0629926357298067,0.9000564067012603,0.947274468780773,0.9207356277757375,0.9281821276568581,0.9707686953269433,0.8652495833261632,0.8378717861797323,0.8184586000245546,0.9506022459688674,0.7495720796230853,0.925706555932909,0.8998273602233969,1.3014236977972427,1.9458609204582695,2.4519352275945945],[0.8918920621105747,0.7950719467085142,0.7065255980731404,0.5831064129673578,0.6475940414454975,0.6116742514605615,0.5529244970303887,0.619015145021273,0.6066318335771038,0.6239451626763143,0.6364663437953807,0.6616507710133014,0.6721826435169331,0.6213030303069654,0.6548341649360688,0.7012329659455164,0.7761512152005511,0.7683404743082318,0.8577084583943247,0.8140006605956339,0.912660704178586,1.0090114966196082,1.1561663257011583,1.319178705476193,1.1124417499136288,0.9127711449446273,0.8872308358354486,0.7838459230307968,0.7768229950342856,0.7221507199813207,0.7234298324907978,0.6913170681814372,0.6875697057654901,0.7465175813027142,0.7688890459047277,0.7782708553719636,0.7966003360844911,0.8328211584846216,0.8659310168511735,1.028393356141202,1.041500359477457,0.960263172981446,1.058505516946996,1.21328840167502,1.4588612624579187,1.5795491531126344,1.767500055997983,1.3243189307309988,1.185311547757616,1.3372098635314356,1.3184741425085424,1.2235955876795968,1.2294759293352602,1.0811510734854464,1.3022183839152475,1.089355773022889,1.0573401459090968,1.2343548614250774,1.115773965673395,1.515670613626231,1.1217704394414147,0.994593178552072,0.8751943342951836,0.9994267915869706,1.0049719657629383,0.9078475429114731,1.0006216113357584,0.7921724862595315,0.914036897976764,0.8148522376930895,0.8720584308681246,1.1169470566682993,0.8364470244058166,1.0508298382950843,0.8117040809324784,1.1784653885178906,0.8498693722859548,0.8388287365072016,0.8479819568003941,0.9408954402800921,0.9240487943379762,0.979436807816537,0.9397478018796936,0.888393233050515,1.0086749118771168,0.9248454891426943,0.869832707088067,0.892320581947725,0.846502646520949,0.8498466080193092,0.7984053278419146,0.9836486758324827,0.8642000786389756,0.7169545613755085,0.6878678545171456,0.7235519563678974,0.7621804920150881,0.6804340210734877,0.6279266051735254,0.6810530208066782,0.6616975883899632,0.7911304058360465,0.768750571044069,0.8548161620142678,1.1360567840038773,0.8841221697251892,0.9516697716163329,0.973616598344855,0.9508415749677307,0.9201483828959786,0.8832856084717685,0.7586121747920582,0.6597619762666921,0.6634403382915949,0.6847735824729946,0.7203337557422856,0.7595879140646509,0.7869887878220517,0.9044207199645955,0.7380908902978518,0.7377203818646432,0.7513637259696093,0.760171115549571,0.7070979287588269,0.6209329372487593,0.6221015106523187,0.7104175802697821,0.7663162883432451,0.8674342885404381,0.9414180894596603,1.0075997413172992,1.0538002624693368,1.1200775318552674,1.0767516166795468,1.0418914552354717,0.9212265523528835,1.0094348907770594,0.8503519748233164,0.7623747614907127,0.7797102270949585,0.8768162868187155,1.0302852404388556,0.833486706530835,0.8109781513616574,0.8420838418234228,0.7871819245787506,0.7712863035659737,0.7141787865940626,0.7276036291329657,0.6311470918846473,0.6479724947817992,0.610181928324737,0.8381668090708353,1.0552352823796063,0.7905713971769224,0.6627019020501823,0.6520040279680868,0.6920466440723836,0.709413006982975,0.7749899094476873,0.8091939880059494,0.8380854595790012,0.8637687153799549,0.9444986707406174,1.0254475869217023,0.9402105387495979,1.105762558901557,1.1893078384921771,1.213065275646755,1.098607752227817,1.059920462502138,0.9495445211256721,0.9711238712483657,0.9616076906095753,0.916554765102497,0.8854910918789378,0.8349483926859228,0.8697282953395477,0.9503801168246201,0.9512536006238972,1.0482525329148595,0.9571572537195365,1.0868288316700867,1.17807641084234,1.0789665647366553,1.1031230167409798,1.197422324696258,1.255815901432854,1.237286481193995,1.247454005764473,1.3285971292701753,1.1507714625248846,1.1629595727964854,1.2201982373867382,1.2559769643984051,1.4678260758134047,1.2720430099445799,1.1409313127602008,1.0439970076425356,1.0081348569919941,0.9461110946373922,0.9036919981130055,0.8760743195373114,0.8427437872489175,0.8353966935482824,0.7958655909354214,0.7627297313133968,0.8161859541526332,0.7657522759930363,0.7212286327105142,0.8158995328922222,0.8418632644074415,0.7558482555691787,0.8423608946228217,1.0028435313150235,1.0673573890628931,1.0309332648674532,1.1378058643463727,0.9412728876444414,0.9333059286963387,0.9698207992896721,1.2822732948197413,1.1711892608450345,1.2299441738513381,1.3016405083004599,1.015447768703148,1.0667535700755895,1.120310619798489,1.2861639238099312,1.075010710653292,1.095068201668337,1.1900888543030803,1.097860026597062,1.0794854219251666,1.4061966159759323,1.3078606869062026,1.228336961269048,1.3761379677262138,1.0397755292234103,1.2460096132031226,1.090821120129103,1.0208775677797945,1.0846482422119812,1.0962866687695958,1.0941581648356222,1.036573594818619,1.0388910002710632,0.9957733034296933,0.9889806403654823,0.8378796005537201,0.8074048649881013,0.8249976422769069,0.7666543536274122,0.810384959369625,0.7690827396939203,0.9238007043876691,0.7894165171733067,0.8191251626524062,0.8402193100594475,0.8422743327789325,0.8550392848809675,0.9832825753211618,0.8830218927457839,0.8541042303043556,0.9255503911145802,0.9316400427401996,0.9075443952145839,0.910389590834155,1.0337379551750299,1.1156574453559867,1.02739474579033,1.0203552054657816,1.261049389625993,1.4104769146047302,1.177448757738665,1.156290902704965,1.7576695775172584,1.899852203278005,1.3977070178987767,1.1977409770652567,0.9779894210957589,0.8687756026669768,1.1418211746570728,1.0203429082696542,1.0863800424975125,0.8563241452671416,0.8851819421568994,0.8642878987872403,0.9234284911500942,0.8169499627210421,0.8158540761438458,0.7828591071517342,0.7340195046543037,0.8476337511119603,0.8079263203943434,0.6579147676670154,0.6906195315942654,0.9768449369714758,0.6236221376119832,0.8405408811471964,0.8003459994123446,1.3030891180797413,1.762347385925645,2.2880429606207042],[1.150720681600566,1.1087121681434808,1.0418188697766033,0.8286886768217856,0.9194238518814158,0.5939068154313795,0.5551489364748952,0.6330498140983954,0.49656757301206284,0.5148030763157883,0.5505112274865772,0.5708632950624608,0.5683620387903863,0.5654155277639045,0.5878685231229215,0.6083988220354096,0.6934310822589487,0.7057167371564897,0.8319585963906252,0.7548814420005532,0.8803448883216513,0.935729256601365,1.1323926219829592,1.281690689649001,1.0798112064479581,0.8910440462551277,0.8009021042009337,0.7060381155745861,0.6857775438363425,0.641271368630863,0.640136046903655,0.6236754536226419,0.6278571242787327,0.6586790301344587,0.6921505087747056,0.6912680836355943,0.7532161814968267,0.7512522112035818,0.7955034797215651,0.9987552329210502,0.9629590523204913,0.8581639410129873,0.9356394962871957,1.092720422293663,1.3278015877183698,1.4828539725691914,1.717545897399233,1.231630641949616,1.1076351088869025,1.2878851721318076,1.268378922055104,1.1850509621177108,1.1606027586042826,1.0251712238769035,1.2360624832996119,1.0054448996902159,0.9519810173475636,1.1489865160031807,1.0334273576655604,1.4341472924472423,1.007947654450359,0.8951991884132591,0.7868067154361033,0.9282313909770877,0.9359422096642535,0.8343886923823216,1.0001602554271964,0.7451359556326139,0.9469869264818679,0.836787574783596,0.9361143106018249,1.1808568053129336,0.8842477692612147,1.0650101969275128,0.7935791971501265,1.1106903203952763,0.7688342480162899,0.7426119755825689,0.7386909502864644,0.8443486864164907,0.853752324338395,0.9581174093973421,0.9596521378205705,0.9088581075050121,1.0438889226663017,0.9071442532776545,0.7937576045812788,0.8763042661214028,0.755246606902992,0.7529764876331184,0.7199567189144419,0.935404732312131,0.8111599468660927,0.6447403092268713,0.6115487048782022,0.6585310267958693,0.713944006082023,0.5924221535534985,0.5420318980837958,0.6292551750729534,0.6514635714202835,0.8706235722249345,0.8145640247021531,0.9959701382718424,1.4687902966770368,1.1853987389637959,1.2641023522125736,1.3324029582303558,1.4006371505777984,1.3356637725524219,1.223221354914007,0.9682876609551655,0.6923003289643618,0.6389470671487036,0.579358693721936,0.6360898440366647,0.6967720556212806,0.7823458514299303,0.8927520981627224,0.7212049838486179,0.7847912648699036,0.7635458926477686,0.818181393458392,0.6593206126576262,0.5046202036010078,0.5575518222756312,0.812981678333726,0.9837206523223452,1.24119235214402,1.3225286142314647,1.424855792153445,1.4672080524279325,1.4853761188764463,1.4163402500657838,1.3620687495697152,1.1798275838048808,1.396933694287559,1.0113377113665933,0.6989924695126263,0.6903138773770159,0.7943599495037628,0.9887736063163818,0.7979199041950408,0.7227296021774576,0.7540178138413864,0.7025661217727895,0.6867006268553961,0.6654137981675363,0.7384348242439748,0.6325281768092406,0.7538430848289682,0.6273495500064369,0.9421502783809467,0.9956781997202833,0.7845992889710577,0.6708821135176569,0.6439399857324827,0.7650314387703228,0.7087690438211705,0.9255382862883538,0.9100035131540897,0.8406231732113122,0.857626176837493,0.9443522064454192,1.0581058376576524,0.924491882373414,1.2295370719366427,1.2649256450020736,1.4588439100579023,1.29351315914638,1.3131345281708833,1.0731265811332908,1.100540834075216,1.0857347880039467,1.009216942229544,1.0295100018271655,0.8692117143402261,0.9683287119048971,1.0312925454138555,1.1023732403862632,1.1846444193008123,1.2212603365238148,1.3580988352672323,1.3930886248032142,1.2698861338144916,1.1829305280797164,1.2083848239799966,1.247369394395571,1.1986594927112508,1.2677368894700458,1.3699796873060857,1.233367756451014,1.367543026596463,1.522690649660206,1.6046418327506324,1.7953572499448833,1.6224564886024098,1.5341632482992793,1.5113190239472394,1.448329624472713,1.4299689620101432,1.4096998809935541,1.376857026937061,1.3577146914327758,1.3375533043901477,1.2865142049413363,1.1378305977232865,1.2027238829440332,1.170814781343998,1.0393307900345605,1.0534451898046704,1.082475087749609,1.0299718896926295,0.952120332002639,1.0527794143823272,1.116153862817724,1.1343473704712177,1.1466787995135714,1.1471441493569559,1.150301478149282,1.2249468114117243,1.424201396463583,1.3392860003457132,1.7819264568695499,1.8011766381096912,1.4533169726981758,1.4572124369735024,1.556572904573569,1.5211647105197683,1.3597559290065893,1.6195610547580803,1.648799308626939,1.5249866403246035,1.500167373770496,1.5342430762053916,1.4324356209703721,1.5490978389803745,1.5569715669805602,1.48038914072314,1.628490807715286,1.5954864078561446,1.5292168506788348,1.618519551654648,1.5977838004655107,1.6424302765491956,1.56535043677028,1.530605942596232,1.5139824123822392,1.497109604067025,1.332472739557491,1.2692140782091808,1.2252678946396431,1.1548332692577192,1.187451164350933,1.1242201419123918,1.2125852700862179,1.0895094969426413,1.140647948903952,1.1636083652661435,1.2442007870390999,1.3032344040523687,1.4611126895036104,1.261647548618414,1.2502228231812378,1.3685840303070562,1.3228212143410243,1.2800537706429034,1.3427658431391758,1.3322200336405292,1.412059170521392,1.3376736107479217,1.38646030148155,1.4392436051918396,1.4656690835833734,1.3111270561601873,1.257889535863024,1.6948731451596937,1.781806314098208,1.2901086359441822,1.1767337338527541,1.119348645882706,1.0113221254264007,1.1800321837718262,1.1334285120561767,1.154013776963178,1.1540069589642774,1.2901585519312135,1.3855187913150102,1.405248216449452,1.2535841709093374,1.2411762679773857,1.197772869442903,1.0883356580417871,1.2568157441537533,1.2353166160779556,0.8675908913697682,1.0750098432405906,1.3799448347074907,0.8819309192763688,0.9466822141517499,1.0290814540778952,1.953749265463669,2.3332416344723788,2.743498723620978],[1.4356592314202465,1.3414828992807049,1.1754494550261847,0.9513016233870111,0.9274069003958172,0.7886642826330027,0.8068935091103144,0.8449492161169546,0.9323230315075178,1.1198676640904335,1.1567980044029025,1.0393441472648581,1.1447518562148329,1.2488361678802744,1.211791929902257,1.2170109200623345,1.3898857800175755,1.4363132563490584,1.5590454956977757,1.5043142849023352,1.6652323573315158,1.633065713550504,1.8790274115227292,1.9934890318687764,1.8467801023198767,1.685773200676355,1.474639420615042,1.4573502682982722,1.341628701851195,1.1866604456085006,1.2747878581933123,1.0978320337736391,1.0965271764851192,1.1723307998346635,1.1781904785963326,1.2745314666647387,1.1003029932625836,1.2542628642910563,1.2886786549362448,1.2329919452301692,1.426353090942959,1.4595471136747844,1.3763997081902664,1.4509435445202141,1.650001454320702,1.800403440636214,1.9631511056642275,1.4540863971373466,1.3875785043424251,1.4192025991104478,1.421951082760484,1.3430003438369515,1.353314282979049,1.3345767552381,1.5629144135378519,1.3598606088066025,1.4170937530570356,1.4322907943410015,1.4302411601288627,1.8116025681096701,1.5356351837145015,1.5019032108571952,1.4324573945892702,1.59439774020603,1.6203855125114353,1.5214768690659166,1.7425318184205092,1.4893155488127352,1.6815781236833511,1.5453007755362596,1.6304958095815127,1.7723314014950482,1.580462675838539,1.7331788712157465,1.5137315500052555,1.4455622558925458,1.3864405047821904,1.3236809418362452,1.3259379105052036,1.3698390550531017,1.2237001920985073,1.1550637361079379,1.1049575876696964,1.074927587796828,1.1536492476608033,1.1676832642055528,1.2627627605950693,1.1203164160810501,1.3091194304609357,1.2449486462895512,1.3428421886309319,1.428959971691897,1.3630787620127218,1.2467687868919775,1.234652594847127,1.2464454482778133,1.2712022751991792,1.1088561107933264,1.021916372513435,0.9495581672592661,0.9364020386075772,0.9436959788269874,0.9427519356479792,0.9515726274923805,1.1074672215202428,0.9650405050730858,1.0694218018293156,1.1387980740562373,1.209973839713138,1.0956152982147764,1.025641562611366,0.8752032429737444,0.8890192717803568,1.042369995890771,1.2532683353987222,1.3931369537415248,1.4445568742256503,1.6083152993117091,1.5506719691697097,1.5028752117309143,1.5578719256995686,1.5097977715463178,1.5830666627342818,1.4047230494908416,1.141466664851098,1.0526210241720828,0.8614235127212675,0.902466852421374,1.0260164951863906,1.052128436750529,1.2300373112423155,1.2944831080044745,1.251419409177967,1.1649083397063271,1.129878640882363,1.0349066721770412,1.1342321716275436,1.1694723178661481,1.4910196358644272,1.4975687517178553,1.7081070230467457,1.9065047163925264,1.690176165668734,1.5637412573255447,1.396709233861201,1.3144950246334097,1.305203143944566,1.1149012882767744,1.0031808861025457,0.9057897410418875,0.8153612437697342,0.8276102486849536,0.9387828699992665,1.1324040970061724,0.9411899510572214,0.8836210879001586,0.9018896972271566,0.8793959516582242,0.9524210170406803,0.8996171723678988,1.0041080229547752,1.1334186765589207,1.2342112543531962,1.2246083134333356,1.2210491693347216,1.3854766386170532,1.1571367614537948,1.1544302407789215,1.2130663008682303,1.2455528652343815,1.1605875414782356,1.1990445273754284,1.1281723278947793,1.0987753878395947,1.0705941874215168,0.9710633581005557,1.0349160677887912,0.990946615095057,1.0876758731182294,1.0366927433663888,1.1077738777371635,1.0006898788406737,1.1026962142163153,1.1780705436001813,1.0944339316191058,1.1502258828010505,1.2676866418998378,1.26380405014029,1.3687111279271922,1.2952303832434886,1.330372000447838,1.1760546540703718,1.156608564424406,1.2571636476287238,1.3706339320799477,1.6609010632048762,1.5441054763078468,1.523231456842331,1.5888981937985824,1.4200630243197192,1.5265975195444004,1.4217655621779859,1.3503289422477756,1.5075856853228642,1.4967458619407714,1.3757292214322276,1.3404050497763018,1.4647391251829551,1.3733477923203103,1.2317775039291738,1.3318511251749614,1.380910864224187,1.2462514413348205,1.191523658868552,1.355172367565176,1.435704300347448,1.4575745947623728,1.5200035475222902,1.5311408131976076,1.5341947618671552,1.6168959502371052,1.8032554221861672,1.6702198537069963,2.1005662114551322,2.0624268932445604,1.6802167319952377,1.6054071533590195,1.7130148606310347,1.7447883771291341,1.5636790854741411,1.7471834537473088,1.8329450021520992,1.7526158491975652,1.6633319767925803,1.6298198010913247,1.6257417497763,1.8192390719770017,1.6666318781714078,1.654906396077426,1.6521044539621887,1.6283351652859865,1.6011052174399512,1.6067349916654747,1.6205536080884388,1.5510504436830512,1.5424769670320115,1.6008153626249104,1.49086267775112,1.4532804367600947,1.3924449093393316,1.3423617071711424,1.2717992835821186,1.2677869546425617,1.3676403371834556,1.2858928025148297,1.365058494236809,1.3215089243379292,1.4007465363529539,1.443513140902933,1.487046231991204,1.4882730849140862,1.688383198397831,1.5662506652875605,1.5178520873583172,1.6049454565780419,1.650969725655111,1.627837987532711,1.6428222375609298,1.650030442441968,1.8026693259013267,1.7397540824484221,1.7355968689386145,1.7828994073879891,1.803608532248483,1.7130372098088114,1.6827808140816645,2.0503398790753695,2.064322523714505,1.617823986039698,1.4602531269729344,1.4475495724400451,1.250501113663714,1.365954814177841,1.4102528903015783,1.5011425721827714,1.509841331001872,1.6143180798392858,1.4843716512779037,1.3850099906652233,1.0847409367931877,1.2516895154350365,1.0842478883638307,1.0248193569162376,1.131689493409732,1.052520157120822,0.8468963318866042,0.9312553981566973,1.1187836172594476,0.878972880502478,0.9247424500767387,0.9241782133445341,1.7007973998711565,2.2425615565030994,2.724383915054548],[1.1323832120657455,1.008313371677066,0.8055061416547353,0.667555497128586,0.7672132664304344,0.8443507301324461,0.8682391077254257,0.9249804946639053,0.9903912789114145,1.1290882572412038,1.1406518946614752,1.0848109185545716,1.1802988741035927,1.195669218281207,1.167385354592441,1.2271419667500172,1.3427972287733916,1.3525181346277335,1.3907624838710348,1.4139206204839159,1.5082781164751673,1.5176633918679103,1.6933655280424513,1.7825605187525473,1.688840697703381,1.4980792386752604,1.3849982149585325,1.3716812110548051,1.3201859556700561,1.2371552654079048,1.2588694069588344,1.1805622654654138,1.173355444987996,1.2145119525033397,1.2338927734874199,1.291283376712907,1.1676618914349899,1.2762999272586757,1.3127254327115927,1.2766158063396296,1.404394881163003,1.3976794614230004,1.3358734725587504,1.4008360087689375,1.5698941845627161,1.7289484900694294,1.9091846852565761,1.4086681991859449,1.363163726646347,1.387664878024815,1.4255321559533292,1.3601026135085779,1.3726849414385078,1.3736796007234418,1.6100015844590505,1.386627472146691,1.4187149904969272,1.4339047972146342,1.4469465491871272,1.789218015217452,1.4749482935832725,1.4428895984464327,1.3851598909920846,1.4847361244913047,1.5045862559032417,1.45009848765423,1.595731687431315,1.37657665258437,1.4974528986734175,1.388528595849987,1.4150897734039065,1.524837897371227,1.3938448486157535,1.5512568443337187,1.4284644449062827,1.3875484632957833,1.3253566377810417,1.2922172417739382,1.3254441714902647,1.3894688628879284,1.2787368237401233,1.2152772753744336,1.202849062490003,1.2146101307793544,1.2336796340311658,1.2481723802536737,1.3107503145370012,1.1920945758187225,1.3172619985436356,1.262964475912335,1.3163386093119451,1.3652916100388104,1.3105397968631687,1.246550609705866,1.2358901875253396,1.2187964825396385,1.2449737304281001,1.165552693311028,1.11913707030592,1.0468148660344176,1.0751631912112563,1.0652432484626277,1.0976088199237253,1.0533172217936002,0.9505775590655894,0.9759814081590295,1.033154646707415,1.044203011744886,0.9675599744990017,0.9360113506931838,0.9164980664574007,0.987067100542864,1.0340356871822405,1.186691827968108,1.2743104840527781,1.3242136045198967,1.3250376882894466,1.3710207138314163,1.3164926611363468,1.3408862730648656,1.3519920022418304,1.3749036833634214,1.4092029087856222,1.3290052409833248,1.171390489908127,1.1809093808910456,0.9820983811456067,1.0544594566179837,0.9995192012534663,1.0252273567719767,1.098111602418736,1.0948231900074292,1.1216796349709495,1.0974215871482622,1.1431565258798102,1.1567345473257489,1.1830340913113926,1.2913141941889106,1.435469173493589,1.4318976252395554,1.401266584791353,1.614923364282136,1.4700252621672425,1.4336616044018298,1.351372250206522,1.321041058852418,1.3258146019289243,1.227377183820454,1.1680793519178945,1.0482956155742713,0.9654018825861778,0.929257209276471,0.9971638551286786,1.2688403102107293,1.016880134178499,0.9954922101881772,1.0117234643452928,1.0284966056712723,1.0990861537962262,1.0416588848286372,1.1622348479752016,1.231649466818459,1.2792603543963956,1.28326065548811,1.2704543807293722,1.3713292944851045,1.1864786446985416,1.1310608588721311,1.1433593203416115,1.2501367743435836,1.2059025836254058,1.276402904304906,1.2286643702204305,1.2175542205252876,1.1887167899419049,1.0857024421998365,1.1700681556992685,1.1042752667832947,1.19409579278907,1.143260418798623,1.1921361068811898,1.0611170720061336,1.10240699007563,1.1755969687088204,1.1477942389231295,1.2146989758273916,1.293663389067741,1.2869107133573359,1.3516913891345723,1.313156567647607,1.3424286503321479,1.2062229290010147,1.1335364913667574,1.162547916616785,1.1544843446255633,1.3050083863244177,1.2600645332480855,1.1497365111853584,1.0822687251467027,1.0700678378924995,1.0099604320409903,0.9602317006757017,0.9266221591648498,0.9543845460437773,0.952036270038247,0.8899474483279476,0.8821089634863922,0.9659115734484748,0.896406729534188,0.8451488360896443,0.9525621891029915,0.9866064878004588,0.8875358036071258,0.9243583060842394,1.0871554687750749,1.1620857257093609,1.1384659863237256,1.2118697685464366,1.0927456012452368,1.0902731963164074,1.1193955304148797,1.388347613591739,1.2296872488269641,1.5330116937608973,1.4938359026035146,1.1197999212603065,1.1419139229941073,1.1755228000986957,1.2933675003949636,1.100111448802725,1.1748155282243942,1.249570271771952,1.2086280329284735,1.1287098213864262,1.3524211493213172,1.2665776074159296,1.2959715548854462,1.3878041389853795,1.093049843487908,1.2453525431304593,1.1131215923262692,1.0903749349362517,1.1311928909721138,1.1429931966442017,1.094710967550585,1.06953649909703,1.1075209230258574,1.0303313831697112,1.0218742081483572,0.9288449064252033,0.8993474032566716,0.9044061385587279,0.8687915474456921,0.9280526419490397,0.8751439889593148,1.0123193758351834,0.9111578743647648,0.9488885340809363,0.967368346037768,0.9746024999967108,0.9729534468996877,1.1150684027612396,1.0274619295602898,0.9931429073232759,1.0464942549453073,1.0900904731628631,1.0921189411536625,1.0647763808958337,1.1202604240187408,1.3096177936353564,1.2230293037080142,1.1890468392298048,1.3217341099460171,1.4316185033156599,1.3065410328683085,1.3098315834032797,1.811233007365657,1.9193827275383133,1.4128881236026702,1.2567661676995319,1.1064675405796798,0.9664374900269673,1.1984065492026956,1.141738237775044,1.2166234187157723,1.0363863866959897,1.0533076948779954,0.9340882510476737,0.9867307028890199,0.8735273941883209,0.8558166435572231,0.84435830104757,0.8247710180583931,0.9023390951556938,0.8246476054577568,0.7636455511147847,0.7861398257004931,0.937471115107659,0.7071036786661992,0.8675804633200808,0.8725513765741113,1.2466392367780068,1.8330866841316866,2.291723518108729],[0.9417439363354336,0.8204621657105801,0.8936141920197005,0.7083184047129741,1.1624720298496782,1.2353731496807991,1.2427542412064594,1.345179783942573,1.305272938381936,1.3833425466037585,1.3771876096079965,1.4035086736868034,1.484430239195243,1.380959553374756,1.3812097119192768,1.4940892327093436,1.558566879815149,1.5436674880308248,1.50161857719378,1.6040827862314753,1.6492227313910357,1.6917105212004278,1.8153591096707733,1.8837914009179915,1.8270336457722414,1.6075407835448716,1.5689864330032037,1.5667212262451864,1.5714862908662413,1.5575832605355338,1.5104173111237622,1.5383368017972952,1.52312159044283,1.5379842799152919,1.5707736102666612,1.584968151406303,1.539309569788834,1.590468309250919,1.6324401608126884,1.6227945568351145,1.665440035593542,1.623567645974323,1.5712901176372214,1.603824719293463,1.7184219779111978,1.8646386492859208,2.02986266574195,1.596368687728874,1.5897560087512577,1.5966420802163375,1.6935033093931815,1.6128450724914445,1.6545348646930378,1.6930382040228544,1.962720292749898,1.6743506828758876,1.6793610131268908,1.6839273549385456,1.7139759858184465,1.9568141397921515,1.6853294938174053,1.665551591733047,1.635596677830824,1.6499184529075204,1.6845016502441248,1.6641755158786722,1.722836797518078,1.547145496056734,1.5827365423933195,1.4950595497020343,1.45897646566134,1.5282938275986622,1.476822416265555,1.6325375086696707,1.603943440392548,1.528153893890705,1.5525300533956914,1.5600544024036187,1.6301936714179064,1.6941939496086336,1.6445732102889385,1.5844018456843436,1.6435547619212656,1.715065161699781,1.6434345815574791,1.6438135091296615,1.6469598434322412,1.5611474614035417,1.6045034713464557,1.5657903452165072,1.5839800942811757,1.5818082958120858,1.5333477834109233,1.517440571447538,1.4980947175552823,1.4513895001014194,1.4665361050145251,1.4987769984512276,1.4931256591328184,1.4865303921800657,1.5193128360480384,1.5483527912089825,1.5898600828811889,1.575960496221472,1.3482288607881079,1.5285384236102664,1.5941366457409483,1.5914175847139729,1.4529931436549397,1.4251461632001015,1.3685991184240862,1.490213449579897,1.4853324488039703,1.57019043821694,1.5378798823796282,1.4997834450443468,1.4722616201558412,1.4198511026985141,1.3503856310533102,1.4536880445827964,1.4116582072243764,1.4698244004830852,1.4440259434537146,1.4528459994864351,1.4075223561591854,1.5180845320989385,1.4654074061632567,1.58202614238158,1.5570212894397903,1.570208462190364,1.634493384365066,1.5939733651673598,1.5889972555474858,1.5973722388739087,1.6415765324648897,1.635422041269215,1.6816880726150922,1.6384455596050627,1.6043669981262212,1.6323536177372953,1.445771395440835,1.6984524404101753,1.5756973343092877,1.6049550761512017,1.5920399685752291,1.605167401719853,1.6086898514178234,1.5878278736512732,1.614428890222048,1.4835187133114933,1.4799983525734408,1.3919678369014379,1.4560977476496721,1.659744647346719,1.4281096603658365,1.4728389249845024,1.457453144354877,1.5325113089822096,1.546962030779031,1.550820987017309,1.6261077195862879,1.6141174984092297,1.602653269919974,1.6446139564279656,1.6076648417359645,1.6430746346199296,1.5294589753082701,1.4087945191907147,1.443826467447707,1.5502306390721785,1.595951273928752,1.6401713403499314,1.644258668554896,1.6624540778358994,1.6455937142084172,1.584345669724288,1.6215390260124132,1.6040747738139098,1.6437442732176293,1.6460590252760778,1.6334165948410615,1.5711810468810172,1.5707979079145373,1.6047190720412972,1.575664803129133,1.6019624837327653,1.6148157514612278,1.5895920860747768,1.553990873295349,1.5832476594322866,1.5879755651603407,1.5483363859207289,1.4613951158380376,1.4792827995434674,1.4851656933288957,1.587835885548569,1.6715414547709257,1.5605816587985295,1.4178365505997061,1.5015431089255808,1.2976675379313507,1.3052809043014983,1.3121266244653167,1.16053425908981,1.1399618334397,1.1372045421700574,1.073343070567199,1.0538763965465312,1.0703702456861008,1.0224850654960882,1.0263342313692194,1.0578859693574216,0.9926937730098819,1.0178325213276977,1.1375446912903573,1.1972427094593519,1.153360973379822,1.2244089527896698,1.0813943706588756,1.0769508198511535,1.0614915975270776,1.3647440983731705,1.2541318955676577,1.2997173150589179,1.3066694164989296,1.1492034530550892,1.3824308949806485,1.2716575931412228,1.4398424043164577,1.3211265323693275,1.1946218006424505,1.1844672253871091,1.1454879700135412,1.2147049708303383,1.6155989090646476,1.4109276399594288,1.2741423931625546,1.6786222910675057,1.3031776188884783,1.597220634774639,1.3271564771833728,1.299155309339477,1.3526538003107158,1.368624028303717,1.3169773628492099,1.3243998506409262,1.2631947132586254,1.2525212431396509,1.280634057974426,1.1991638905222928,1.1745316848666272,1.2180569097149028,1.1479094532329002,1.1398826310093797,1.1191830043847768,1.1999162531823169,1.0601242723965318,1.0603424977806644,1.0700885030744576,1.0957188061335337,1.1634718610915402,1.118493647278849,1.064103694053252,1.0818863249046782,1.1436845821954065,1.049124006875968,1.0257805201898982,1.0656156364879852,1.142984105386883,1.1582704162038235,1.0880218690792118,1.1142401999873595,1.2413984039609194,1.3240699741898303,1.168334272015201,1.234219786624886,1.8200303122385235,1.9742838033883918,1.4464471923914943,1.2336699657176644,1.1053393044273436,1.013355729663268,1.1338184245819243,1.0945870827717255,1.1329794021356419,1.0218671593949158,1.116790381727007,1.1895698719840693,1.4299405157337708,1.3715427547945387,1.1545345405821057,1.3188061064500975,1.3854611367519667,1.328746842347993,1.1714041636083155,1.3126529105330627,1.2674293351233474,1.1492707628041285,1.017108927972595,1.245168875414771,1.25796350137696,1.2495256532343133,2.0098285868846544,2.4084670449641545],[0.7988380486803351,0.7079125735501792,0.9698544766711006,0.8072690190522065,1.3270429862153945,1.365244345184555,1.3320879890763158,1.4003224383287096,1.3642750749408907,1.37468010001529,1.3594906793111343,1.408191301473089,1.451519911794953,1.3391880622408125,1.3385683056111313,1.4362013544741319,1.467485594742067,1.423919309410997,1.3491305078296318,1.4641014155225163,1.4765528592948962,1.5321905379608312,1.6062142480064339,1.6656389143969932,1.634513974203656,1.4346435619386129,1.4241065230587675,1.432360617119577,1.4469555061379655,1.4784850941593446,1.434597855872018,1.4912712979528846,1.4744237401999924,1.4629480481680894,1.4907880240800055,1.4863166040636802,1.4431461615046275,1.468916257724527,1.4831574437115458,1.45338519689864,1.4937638048102826,1.4610071537802347,1.4084325444085193,1.4231258484149814,1.55855376905313,1.7211258866333934,1.871582346006167,1.4075819902463027,1.4059991795820623,1.4100025504270883,1.5282573838978348,1.4634794172639756,1.5056260156099002,1.550630881990007,1.805948193060821,1.535603973005623,1.5507965420185852,1.5431116750740488,1.5923972665660366,1.8674063921274833,1.5129000579588707,1.4996144254514372,1.4979299742903818,1.50761397950408,1.5070986061542744,1.506013336171378,1.5749214283041153,1.4098136629085578,1.4322720007228613,1.365897975459087,1.3729511625705175,1.435599717161434,1.353837290888397,1.4909253638031907,1.483840763996067,1.4201825575314801,1.4081370136049745,1.4483696696080637,1.5122798731213207,1.5677509787945343,1.5195284989681175,1.4399839908790524,1.5196006267887656,1.5634712756809166,1.48754144196133,1.5038343530405205,1.5140285808908642,1.4652143656327183,1.4926077818910752,1.485766481776758,1.4734152293583802,1.4821787234943105,1.4481879585639221,1.4464794891090198,1.4413800403519637,1.4127774689448582,1.4384724681760739,1.4681565163833297,1.4822067892890816,1.4782578568538913,1.4937799320978689,1.5535587592002693,1.5533793033984955,1.5599423596963193,1.3194360079907286,1.4730453391629887,1.5336833835510828,1.5294816052095153,1.410967597727905,1.3872871764332648,1.3522433532913287,1.4697939545707737,1.4989934003163485,1.5336753496543738,1.4768980202385593,1.4117155709158298,1.3697077667392445,1.2754973848921953,1.2296710049812922,1.341838517283499,1.316336270966371,1.3730964222660236,1.3437430571411642,1.389612843392908,1.4180750208295612,1.5196485851885417,1.509455680720195,1.572040360174186,1.52364366226264,1.4899697143280661,1.5371038403237165,1.5044665718714754,1.450617026062208,1.4735170975138137,1.4952865623034022,1.5184217624107226,1.5533075266429228,1.505541309323307,1.4809779633178335,1.4863846994952379,1.2511414189539571,1.4552434075247587,1.3776451325951657,1.4304992564803878,1.4454351707150566,1.4888804353037408,1.502188245214178,1.5179808053944925,1.573323560496646,1.4853530767165153,1.5269777343397686,1.4494037116938339,1.5066999436949111,1.7558218474010143,1.453553210900534,1.4874389776438972,1.4573237995052186,1.5497152462767336,1.528359208031432,1.5310580836675916,1.5369794875194018,1.5021086248254838,1.4563582534298867,1.4743355656351829,1.438518828725099,1.4497371272503308,1.3423838846868255,1.2262152889054938,1.2614897896720627,1.3451514380160534,1.4024041206296163,1.4642385839044825,1.4890010248940881,1.5286926724862506,1.5226341498380642,1.4947851574379498,1.5417641029803102,1.5089530212190811,1.5218281823476885,1.5334694350408271,1.4850606970068587,1.4665059646218273,1.4427861158985942,1.4703027603010475,1.4282011898795657,1.4358187568812564,1.4208884267407338,1.4085679419334751,1.3969600706868912,1.417237886780706,1.4498875731595895,1.3804987167887919,1.3183281981153425,1.353371264750177,1.3536006296456857,1.4388158909120246,1.5163372582821781,1.444173722390745,1.3145626774712802,1.4503165570147647,1.203114069094379,1.253237017444843,1.2956307327098877,1.0978033842677033,1.049519921065696,1.095475022685865,1.0542887110086259,0.9588794823289165,0.9981545446850864,1.0089480777795972,0.9585198012667406,0.9507819489886654,0.962402274027866,1.0208264935263762,1.055222690938885,1.0830978282998995,1.0564667779061723,1.0030597157744383,0.8666851926674486,0.8655327898667181,0.8288236607572125,1.1155396548506165,0.9992196337405128,1.0417915895452519,1.1413084052505256,0.9915593578100355,1.3221938699735276,1.157736865911375,1.304950810438061,1.1770385035433815,1.0541213300605259,1.039709632862115,0.9890418316725403,1.0801130845611446,1.4826759502956726,1.3447304070791497,1.1537479474728696,1.6138604650415957,1.1917660546468487,1.4653020927932308,1.2096616084801386,1.1975284507271102,1.2736780688324432,1.2861797865082314,1.2748843762285997,1.2691390963378881,1.16792596097463,1.1855242280776743,1.2274784624604638,1.1451293065845916,1.1275353008747626,1.1905011301327912,1.1229140196382696,1.074303378458093,1.0718464896174609,1.1922753398856738,1.0000208936218224,0.9671364553621802,0.9582946488143744,0.9630204821612394,1.0402895699517662,0.9494014644852796,0.8902294644449967,0.9342444912000554,0.9684209623343941,0.8345871235453804,0.811784356970928,0.8954833093749733,0.9325812069276878,0.9110571416203973,0.8462935189856465,0.9707697682821463,1.0028807231284163,1.0305332192309555,0.9099366186972055,0.912796953555767,1.476375059224132,1.73591664113025,1.1773159389661012,1.0547863444511747,0.9631842734904293,1.0089850547694785,1.1029224358627585,1.0138510332522062,0.8479891435755682,0.9019978302684851,1.009400063802092,1.2386054932320438,1.396877881152992,1.4017697352717324,1.185765771005931,1.305101439363515,1.3648331355226975,1.3377499385165652,1.2116717033617184,1.394957536209383,1.3459822164167354,1.2435400569747548,1.1320980710830546,1.3961077882967754,1.4059916637327592,1.1895251297785554,1.8570222100761045,2.2726290983955852],[0.6810506693901861,0.6645110659692667,1.0007191790415293,0.7879336361819307,1.01038196075002,1.1394386747949243,0.9441202397553646,0.9808604762941291,0.9861333243485255,0.8969296074559695,0.8842878856246363,0.9383119866480076,0.8849206630176826,0.8073153153030729,0.7981377088056726,0.8454195515653804,0.84766283542535,0.7889479367281347,0.8151988466948872,0.8373740227140752,0.9277671133872901,1.015067093141808,1.0453563050000516,1.2617596088812284,1.0943212653457202,0.930254917242077,0.838226864362389,0.7868760564180761,0.7850648788499073,0.8198396815858983,0.8128727621437476,0.8604956688809539,0.8460081984153541,0.8231316984613076,0.8265154935273268,0.8205624305185093,0.7862059399175059,0.7912146854243505,0.8058767635167577,0.8691929524323664,0.93148427540575,0.893073825746033,0.9107701715779148,1.059359434369803,1.309812346950958,1.4530034523023723,1.6606233557626084,1.1355153236609306,1.0176287332788454,1.1454204187692292,1.1240136927410216,1.0434915960806423,1.019659354529583,0.9693988933227465,1.2275902486606987,0.9812069092909923,0.9821267606191718,1.073662708011386,1.043485977508424,1.481599862503088,1.048421442210658,0.9464554989640885,0.8716324146365896,0.9705392511075528,0.9730339421362636,0.9286364813568777,1.0623024318497156,0.8079170813498955,0.8783296566251794,0.8064825448982018,0.8961682042502829,1.0512929876804025,0.8461972413777018,1.0164389702183563,0.8919457726021998,1.1532669171095562,0.7882243608258883,0.8004675457533481,0.829130922209743,0.9184980130884491,0.8696197226189172,0.8386533352266384,0.9102500635067257,0.9028761394085115,0.8818412395492022,0.8475139560903732,0.8441893769279748,0.8456917974472318,0.8420797457804589,0.864167854354575,0.8213817815952137,0.9375945322168047,0.8847970895086906,0.8549231114554018,0.8652116670335119,0.8988281836570461,0.9624482146986237,0.9137089029188726,0.9359205824624632,0.9996265699497697,0.888983086597,1.0342403433697864,0.9324397876707329,0.9993782299571333,0.8388410628014812,0.9305681096055645,1.0523736761052045,1.075891111813105,0.9745373020237837,0.9036538411419732,0.8870559244011974,0.8882945150546429,0.9515782044924171,0.9048129601714457,0.8879376441647135,0.8076807513345301,0.7740023305518777,0.754427959588096,0.857180141401629,0.7371944211097633,0.7693029972669929,0.8359254075925295,0.8298969049739966,0.8633785099242799,0.9174099013329873,0.9116983840240445,1.0329079616660035,0.9705900945864046,0.9774381872621665,0.9346063864259426,1.0506962099675567,1.0709352621407635,1.0176673558845757,0.9819523758475139,0.9662312646293874,0.9122664248863974,1.007710832548387,0.8799958926577551,0.8494255870256023,0.842466018692515,0.8126511158592666,0.9838819834388074,0.8039221419043941,0.7979821054124988,0.8017100981978966,0.8225529808756312,0.8424407773370083,0.8671508208793159,0.9292569492498555,0.9186211539119882,1.020202251715756,1.0085712951702117,1.1093065348855315,1.5483472409484007,1.1355006067493052,0.991850120240151,0.9178959962676013,1.0000341859453157,0.9146445061851632,0.9053409086898291,0.8793998798002111,0.8304472091327983,0.8197813084831133,0.8595929441649532,0.9063879009118498,0.9177733675110104,0.9346963074871185,0.9931822608553973,1.0244236289181967,0.9601922820980731,0.9349208810674772,0.8809237807986283,0.8992702198195425,0.9123582846223062,0.8776701492170922,0.858063608477459,0.8934407715776782,0.8828272884027689,0.8907888482513835,0.9135381997526053,0.9202283861483432,0.879567582440673,0.9292524222895999,1.0254873378618024,0.9247934935844706,0.9324023019788287,0.9729767587529902,1.0301893569174163,1.091937791279872,1.0811531116355382,1.1813584236759846,0.9943465461003669,0.9834142394304697,1.012126568111413,1.0480843717992943,1.252677728197446,1.2162760532987555,1.1651160782043182,1.0979251386941176,1.1462177461684677,1.0662527891907538,1.0411861530553326,1.0124603409476935,1.0014432935238167,1.0241546551447103,0.983147471559848,1.0371728067006194,1.0863371124796959,1.070766862362123,1.0830089534538718,1.1465736960948965,1.163256878804204,1.1249955398124223,1.2551118673827886,1.3272396825006876,1.342986548895291,1.3659572678770628,1.343497336388966,1.189791752136168,1.1979937423682305,1.1851591427521908,1.3291364472190565,1.2346968541356804,1.086084415429403,1.2561467677076161,1.115843554725315,1.3347280931357226,1.2059727300723566,1.444100585356645,1.2505454595403687,1.0412885069637567,1.1303482328699428,1.0818363165956475,1.0871017065088207,1.4859229630215502,1.4619131781185584,1.2541564006830817,1.5382467960206274,1.1186905300528653,1.2573522532712544,1.063911422728997,1.0933483605521994,1.1021331566557204,1.1641372661419156,1.0669489505475398,1.075012829901905,1.084251050894894,1.0190965867997537,1.0162568478239762,1.0404738580818216,1.065864989397528,1.10014836000756,1.0904170990817221,1.1433194920221514,1.1380273927062272,1.257286153695722,1.171499665165273,1.1772770506757828,1.1813819587794452,1.140968656435964,1.1085466719839643,1.0859558685542527,1.1376478349683543,1.108793485122164,1.0896285931525824,1.0871248545344891,1.0893503653627414,1.0739459566328484,1.162610221489528,1.1496495944549483,1.1090514860435237,1.1652838846190048,1.2732612582469698,1.3469592703505102,1.2137460912767446,1.2190019125332594,1.5499467836200702,1.7808394312787086,1.43025962869031,1.3774772031170441,1.2328097485833334,1.191611049624134,1.3706890391139022,1.2122047042815038,1.2417541252038788,1.024090658693922,1.0476579236112586,0.9655021191779755,1.0511617743378256,0.9420402377455183,0.9155542853201225,0.9520816594125454,1.0866088833900778,0.9886019207178546,0.8664220348603865,1.2155420529045278,1.1235131218881427,0.9649231035966717,0.9733648670155672,1.3851342563341398,1.2893884343614357,0.949036142804842,1.4813901173351745,2.076486857373543],[0.7077758490589925,0.6115018871963455,0.5668676520939575,0.4507130397220535,0.5759512096280027,0.754809593952135,0.626625148968428,0.6439322515952601,0.7195600061750969,0.6754858646522847,0.6783263704359475,0.7148349079503297,0.6565208745787582,0.627763294455819,0.6149158727495101,0.6340891146534922,0.6467273610685305,0.6078461961751422,0.6911333817037465,0.6757673370714352,0.7602359362787398,0.8291726940151954,0.8930723947151121,1.0866355358075401,0.9625701321630811,0.7815248927641643,0.6654369380703046,0.6105732133204611,0.5812004505758696,0.5910303056294852,0.6128562211343523,0.6244069197961878,0.6177737053817147,0.6178563609055713,0.6084990159403993,0.6171123043492797,0.55406808252992,0.5690348838862745,0.5725394281711786,0.6199934175574616,0.7206114335369534,0.7143761785919814,0.7091880129172198,0.8816406163353815,1.152310928904091,1.3649872768960132,1.5616871002430464,0.982458358319189,0.852803446404138,1.0052700121511662,0.9378689112408365,0.8554705203679939,0.8125718395910075,0.7520801034316098,1.0491798978217088,0.7725728959305754,0.7854459958604234,0.8888670221127533,0.866591763785593,1.340326626435735,0.8570849099243216,0.7504011457920833,0.668625985288658,0.801918497229703,0.7942718776486846,0.7391914903049894,0.907810416206648,0.6399021941672188,0.7539069411008483,0.6941881896235648,0.8024394149557527,0.9735324541699472,0.7504236840611452,0.9048601798107067,0.7433261176487101,1.0620161987012078,0.6019513662189765,0.6094484640161676,0.6322600610886103,0.7121526764258448,0.6328103216929327,0.5930285401520994,0.712004653148983,0.5754076583587345,0.6266141321168148,0.5747366279218012,0.6167255352018873,0.6359720291327089,0.6246184777616398,0.6797729793763723,0.6406539915169096,0.7811596312269056,0.7125369935552439,0.6612149762251035,0.6708033156513824,0.7208011449310758,0.7877256599186901,0.7046896295957386,0.6825418147708938,0.7292570597969631,0.5959001877880136,0.7248813701608862,0.5961171816547316,0.6397168832780934,0.6558657579519274,0.5802248521849206,0.6526893122678408,0.6815473313681571,0.5892348260881937,0.576616524340726,0.5859215845779933,0.5271317498009241,0.5990608129827993,0.5997726915835179,0.657826056325173,0.6211155256862961,0.6081063915029038,0.5964185218074072,0.7053376656538602,0.5939955707239256,0.6410655915215778,0.6913788646311831,0.6933376740274151,0.6790974201111966,0.6914190695989514,0.6022393518792223,0.6496810099348289,0.5668243223612983,0.5734090735566076,0.5628540615298773,0.6484334994547001,0.6762046927823482,0.6841078295797675,0.6299526661904897,0.6413784929232809,0.5988648276077544,0.7281235532421373,0.6087119138363694,0.6001378530788329,0.595722127320163,0.579353158601184,0.7381749499559723,0.6319981243696536,0.5846360601585038,0.5870424077206077,0.5962476434236466,0.6141055388909666,0.5915832218140913,0.5962716582411375,0.5954628235613637,0.6498200526779186,0.665459529118706,0.7672144711658911,1.2991400203612318,0.9311253185426102,0.6688596775585974,0.6186944023177621,0.6405432975023584,0.5883273704644973,0.5424320067255505,0.5509555369565011,0.5616897167435552,0.5821313370588003,0.6011719795085275,0.6452934312005687,0.6826880453994855,0.6568365138290303,0.7470027564351868,0.8199853936317174,0.7201505792341517,0.6633337097797194,0.6025609983456779,0.6172380423592835,0.6171363660759729,0.5748854787441398,0.5447569855286237,0.6034285859110573,0.5932466597957257,0.5881711849234018,0.5994386671419532,0.6417805117257515,0.5711491988499612,0.6375794127703471,0.7084899511318336,0.6361600536513431,0.671751773658532,0.7625278520055627,0.7892491643282058,0.9474231857616866,0.861656954696003,0.9774779024014341,0.7495821583764898,0.7379408283672263,0.7886706467049288,0.7810247036580112,0.9496515042799687,0.8497254044124087,0.7390235083581219,0.6810537129407183,0.7163197482904647,0.58752181936446,0.5590897861949381,0.5611427418395543,0.5441046947550509,0.5426912147978755,0.539527016768358,0.5447519596152195,0.6034479552552275,0.5593128658676637,0.6132851066686353,0.6886961132494915,0.7129643140296911,0.7154416450788154,0.8101113814812635,0.9107962221943902,0.9009451981107824,0.9534745967813347,0.8814590558929919,0.7307319809488682,0.7089781075773515,0.7144006036941513,1.0209319867963713,0.842868025468229,1.0010374557740718,1.1718159400605914,0.7246397877025952,0.8133561390064649,0.7671130118516778,0.9111107216742734,0.6793611568845229,0.7315522446319501,0.8416687883368819,0.8587872205505961,0.732808882156227,1.008987064514355,1.0611060390233806,0.906769029789359,1.1434201296581494,0.6977796924805565,0.8507428893578518,0.6756927006956627,0.6533748053438495,0.7275242496412807,0.8013810273496842,0.7616935506198761,0.6882837423414997,0.6488251292589428,0.6552308853780834,0.6787583662219492,0.5724533565649629,0.5916415408440227,0.6661677952448037,0.6041875648408289,0.6219382956019452,0.6562748383096974,0.8382261933189761,0.6915514505087721,0.6954336450055136,0.6842921010788559,0.6248733007883872,0.5738192027672029,0.6768902100813547,0.6546804624353109,0.6224629530622096,0.6238692854454775,0.6583356172062013,0.6847216484847323,0.6501736461895832,0.7047119914590694,0.8580620283952779,0.7479698353201245,0.7731946738107252,0.8740353511444487,1.006563071233266,0.8955105750125707,0.8316032783393982,1.2493682586013881,1.4771478667841957,1.066282873312996,0.9681013503413531,0.7594002250431786,0.7555965067951396,0.9921919441347407,0.7334223077247025,0.8080552997506797,0.6462466140012055,0.5748558382768005,0.5770232376870312,0.6108820833390258,0.5377538954663175,0.5372919916485218,0.5526882144149288,0.5416189102381977,0.646117120077633,0.6319339742093426,0.6087251426466691,0.6647020186020596,0.8493088211750233,0.5290282613011456,0.9592298985470938,0.8485207886566818,1.0151400712468854,1.3052604417111409,1.8736781157788513],[0.5000632260177367,0.4629718669457309,0.6959547415787913,0.47375404015333145,0.6028428819204853,0.678553007275381,0.4772659358440429,0.5028896150921588,0.5405253798161069,0.41918211775647396,0.4288840652036309,0.5258083572556801,0.39706142707673353,0.3533000818385063,0.39188930223718743,0.38856857599877553,0.4297179425252988,0.4029709620146487,0.5627504211984585,0.468162012066231,0.5723991614739135,0.6751216696827395,0.7409610109898722,1.0229326858468744,0.7834519638969113,0.6401982778671966,0.5242938776001582,0.3915955540337356,0.380170741390184,0.3599974059007809,0.39588428337300297,0.397855273988586,0.4007913059230636,0.4221157550669204,0.39044067253500414,0.3943467586593182,0.38315571086513994,0.42113028484809123,0.42035844134152195,0.5216385591128205,0.6339330815540436,0.6082324893696135,0.6354100790175506,0.8650879416699429,1.1867685362465565,1.3948013377210016,1.601000817923962,1.0355543927712996,0.8497601202870816,1.034268194233333,0.9338674627516279,0.8306056489889063,0.7613169777906519,0.6440651873681991,0.945941608984084,0.6499002288841298,0.6704960610239342,0.7797805489064347,0.7196090340469123,1.2481741948223595,0.7293320938392973,0.5952127962539677,0.4715780258878186,0.6390497785112185,0.6150172294314804,0.5383002104848126,0.7170545284988968,0.4579316273581057,0.6162549575852461,0.5293627591290762,0.6991025165856402,0.9422977036497118,0.637453919275179,0.859925589618969,0.5133683854962604,1.059466902879756,0.44675420681214617,0.42828708197265036,0.4272524357228141,0.5113748205797902,0.4693395543374718,0.48311004961039705,0.5881468776922121,0.4166425554080545,0.5043057326999063,0.4139227545338119,0.43677217724317213,0.561524958448188,0.4201839635800807,0.49573207512374534,0.4315655155722899,0.6735647831868505,0.5579015767695032,0.45165467748848265,0.4452568315565606,0.5307967423652827,0.5629519713887609,0.48693466782531025,0.4713978636421795,0.5953603212348043,0.4236384590906014,0.6124327738225166,0.429476205025013,0.5414791357084987,0.6400426300768378,0.5404170512770785,0.6719191901091237,0.6839882989808547,0.6240350000074334,0.5920738304384058,0.5871269184068273,0.45319877508005035,0.4348464356134685,0.4066264490257467,0.39571218023049176,0.3558504272523661,0.3945252346804236,0.4734005748611211,0.6770921931780939,0.3590112051785807,0.3964591900744256,0.38226477595736574,0.3783547393686848,0.3687249739465758,0.41858799685545556,0.4295639867333422,0.5126135584334499,0.49380309946534795,0.5479634080822644,0.5426515411254297,0.6392383941432407,0.6848570843668476,0.6549960565592282,0.5984189835381543,0.5866041375989783,0.5264165568982248,0.697891812619928,0.5176821186452798,0.3878457604019819,0.3714587155742805,0.5315213162279399,0.6839576418570937,0.5139326358915132,0.37612406135645976,0.4389233430750928,0.3799440346512521,0.38245066208464346,0.3902999289125232,0.4142418240226708,0.42027788979262565,0.5444487668381436,0.5520707709325695,0.7240480844136018,1.299146806926492,0.8805924929259399,0.5211061573113908,0.4265164897203738,0.5086934780772028,0.3887591079277711,0.4233007234503305,0.411210387984522,0.3925488654066942,0.42553809023099254,0.4549637228838443,0.5440169290346296,0.5529829166060979,0.6004086608818516,0.7384651422648137,0.7946532679015846,0.6887865243043338,0.5998694045252917,0.5064832957478104,0.517055287478599,0.5033837385218225,0.4300415743154114,0.4326325852951253,0.4465454268535295,0.46690620344247835,0.450406184744079,0.48955210955361517,0.53821757921446,0.5068558125447846,0.579642364759407,0.6547578078693724,0.5645822957636003,0.6072491431382453,0.7214312679389396,0.735423994558088,0.9548159934138826,0.8266540014030136,0.9317926646616876,0.659887073201608,0.6897578668898292,0.747898242052991,0.7571101841778468,0.9347129353446045,0.8592247137458829,0.7648999789897167,0.7323900643091781,0.7796733150941955,0.681912262569742,0.6420419371392723,0.6343181914169913,0.6445996394910357,0.6648294677056319,0.6352073587938737,0.6831484275351136,0.738755928184853,0.7060221790900344,0.7360464219457833,0.8166766120285919,0.8576935811434069,0.8407867361975744,0.9380622345733198,1.0603542504445231,1.049285129991504,1.0859266179173037,1.0301993816724069,0.8779959968808884,0.8902150363380591,0.8911618641216307,1.1201237534999937,0.9651867754649268,1.0179823095391556,1.0843439689959913,0.8279798024487025,1.0435718542970662,0.8943553058141818,1.0958340527504353,0.8307421983334586,0.7769093776697166,0.8683034758206885,0.9031794186788366,0.7938302812828559,1.0701067905719048,1.1664483413528555,0.9844172389406358,1.2156287665697696,0.7793985431108021,0.8761806879991282,0.7140585299671377,0.7370100998052228,0.7851994430787589,0.8749623944228762,0.7632234664754479,0.7327509744122183,0.7101480691563928,0.7071609132854748,0.7052046079645294,0.6825440796386075,0.7239663746847769,0.7922953705067848,0.7405852251028389,0.7905893499250641,0.8304264775641784,0.9831351105508821,0.8713167692605205,0.8956569268005303,0.8648526186559371,0.8004332830046589,0.7414635773389795,0.7590580424807613,0.8097870973671776,0.7546797566836352,0.7343504079121242,0.7819417169249023,0.7980942613468713,0.7456338695266863,0.8426923029439671,0.9531060585323216,0.8595506099271248,0.8989503970741586,0.9863506482513038,1.11228381124865,0.9946105984692496,0.9304193129173959,1.203036755198733,1.3727727898282454,1.1781525627498506,1.07287107766405,0.8929147741615482,0.8681081506681294,1.0192046433138926,0.8065706295454216,0.8784027679127757,0.6893912262990324,0.7201798034851039,0.6843526834507633,0.6756013362437622,0.5663886332322764,0.5997836737262355,0.5948769484429102,0.620411191260405,0.66917821711445,0.6887698614101685,0.6920641574258659,0.782984511354857,0.9162334217415913,0.5848653692972078,1.0354788876261887,0.9160713658022286,1.1030842603803643,1.3325872916378638,1.954547760721678],[0.4656754443204522,0.43940562923447346,0.3795211470441398,0.18305879242916306,0.3573092212397658,0.4354415344283409,0.343305067560726,0.35189826102836114,0.45316096203224504,0.39115778158402736,0.39678469503067687,0.5125811595480223,0.40465394216374184,0.3841766956177829,0.44626099496667243,0.42818075593963567,0.4887483178026767,0.4705404440953971,0.5905070423335061,0.4807038317044951,0.5610621139999031,0.6535134041002977,0.7078296763307602,0.9526606719646528,0.7284893611062457,0.6216016664132603,0.5399657406051508,0.4286604721749862,0.462924586751381,0.39143323069874714,0.4455863600657019,0.4023552780619518,0.3971412830511222,0.42620951536052815,0.40551549209538684,0.40931566940632125,0.45325888963228433,0.503036367226655,0.5001278872364401,0.6014922713654266,0.6723162384521685,0.6342789148034467,0.650174710102057,0.8858143032253813,1.2064342287193308,1.48583602612871,1.6497635681778076,1.089895398148069,0.9069699433017144,1.0708028144763717,0.960719000482045,0.8653501531847281,0.7972333102901538,0.6737884859297602,0.971285822493405,0.6163894125609267,0.6579078317695756,0.7554191397603186,0.6773104803334127,1.1401249995696914,0.7131071607938982,0.6010967144363434,0.5085089459771682,0.6376672633171054,0.6245843319499521,0.5523670654041974,0.6981018087478401,0.5065525483776158,0.6340078263706848,0.5550820039284857,0.7172276026629114,0.945916730641512,0.6643311835049851,0.8666546548335388,0.5319140179524817,1.0750275308323716,0.49212447069136006,0.478610275174907,0.49304188898898366,0.5457495928763407,0.5039602324523937,0.5859481123682219,0.684792116379417,0.4823892716738619,0.575676414130071,0.5008019455802057,0.47980001626502083,0.6392848815502015,0.4582307750496475,0.5394450720304678,0.46522220219612453,0.690444668629641,0.5856435307963248,0.48308729668441214,0.4592293889805383,0.5346810815492931,0.5381885610960694,0.4525571918459673,0.4295297492783489,0.5434347543680974,0.41191641664245754,0.5872724916859496,0.43545974776057395,0.5083077861747493,0.8257409519241504,0.5893440705371803,0.6399633549056919,0.6697428558445497,0.6606814424262899,0.7237862849545026,0.7014276393660537,0.5000243559787652,0.3883762533150485,0.4115830728709495,0.42519328497581577,0.40714292916170225,0.4423693141740017,0.4989434408072901,0.6611332249280354,0.42478750366182283,0.4292707520404471,0.4024137585621378,0.38549517814686546,0.37026938889224914,0.4039772983063807,0.45057020772547773,0.473092823687671,0.5254320049388869,0.5660875497973819,0.6262686098830411,0.6260644320854502,0.6623429030633263,0.679625952296678,0.6532504635382502,0.6281638330964361,0.5952617827715452,0.7798023899913213,0.6304421346351169,0.4871409776918256,0.45950103518616575,0.5803570296218539,0.6812598617304835,0.5753968155222807,0.47985546810289254,0.5141931390119691,0.45260334068592956,0.4513471101912226,0.42842074108064443,0.41585577904478827,0.3802879128100206,0.43766868004791665,0.3948799107181627,0.5844873542135302,1.1908565281750125,0.8434548944093228,0.4097732317333043,0.3811467636821757,0.4083688811371485,0.37404965812329927,0.47606241514572895,0.49378209821479,0.4855530098795718,0.5232199856148927,0.553836950559879,0.6226471414354482,0.5819455901265574,0.6825564948744731,0.7971598520371269,0.8466413530757053,0.7792842281715614,0.6896400326337891,0.6030799044026319,0.5958040732231503,0.5758437645801816,0.5107994164574221,0.5340778232667421,0.5341660281086784,0.5764503563827674,0.5099366010886588,0.5449925525540106,0.6153497533259621,0.6056140610204297,0.6488718043864541,0.7131721912228259,0.6522541396935162,0.7058238453881311,0.7903586073665058,0.7969364713306274,1.040442081912185,0.8543225250411087,0.9300751957256006,0.6863719367017704,0.7272414874476937,0.7792669496279545,0.7641259034605964,0.8624065100194783,0.7758661175722238,0.66134531556333,0.6675573112512156,0.6772453479381292,0.550529683080718,0.5378746910151896,0.5509556817794438,0.538398879613584,0.5243456033388368,0.5501157936469828,0.5042236267674276,0.5363438580531835,0.5081984562068683,0.5495339891295797,0.5917333003738161,0.6093666066439668,0.6504888570203563,0.6787709144792363,0.7736964416869302,0.7685034125234127,0.8394028073084114,0.7474591305304049,0.6380437954486532,0.6158716843079934,0.6068593010590979,0.9039443711145566,0.7521195429843429,1.0426012121390957,1.1971392810280548,0.7339664584028206,0.7834150314967191,0.7769969471607162,0.715960787826672,0.5608073301808733,0.7516629828038672,0.8071338631753083,0.8879290718864749,0.7218492338906961,0.8582415364508976,0.9775184206084683,0.8476207867222091,1.0227186885056287,0.6628089019179094,0.8075464294502966,0.7112289543773953,0.6557024812929514,0.7221372682789956,0.79226178531362,0.7970681328810906,0.7010623843175927,0.609462936821515,0.701905413867567,0.7066181148615445,0.5766972561292707,0.5900703548094415,0.6789090788557601,0.5639053176527096,0.5579658476214139,0.6313246181848976,0.8468437790793805,0.6339821348601643,0.6400169093773813,0.6012814159243997,0.5517716008109821,0.5311830458637167,0.621673033658844,0.5404883393224658,0.5389734533353088,0.5652215455923859,0.5808738631415633,0.6127079616311406,0.5871782854257396,0.6034716128481794,0.7643807131275742,0.6532816646560655,0.70887665731323,0.7388541697519675,0.8851343318981089,0.798967165479879,0.7352744807330656,1.0653763612853586,1.261261898345816,0.9853152273439415,0.8450870506864335,0.6563979552594875,0.6215333847336405,0.828375101491493,0.6268063310569012,0.7194066973057532,0.6874701984010807,0.5566059634648136,0.5790329417659204,0.5937961305162788,0.5770461582311524,0.4793061313339961,0.6585378665378776,0.6316159585863266,0.7900409816680286,0.8434523965176579,0.5215807002631101,0.7957717785724389,1.121777693910263,0.5058949276028468,0.9505384313557563,0.8425926449225006,1.4501089826938605,1.6243765969606871,1.9548285350640504],[0.971663158525022,0.9925166796828465,0.9089193676680727,0.8840408909937353,0.9026732288445802,0.7986098035543587,0.8581220491140589,0.8674852914141958,0.7647764990451869,0.7479718450742343,0.6857510555521074,0.8045778579610148,0.8070028492849727,0.7344661583167954,0.8750641985056299,0.8859322817524748,0.8494119447453882,0.8561568906999512,0.9537859998946815,0.9234297501199846,0.9087637313729582,1.0062517371530326,1.0081094576767284,1.2326817078974952,1.02360346724125,0.9521213847254035,0.9782316091472717,0.8973168172954347,0.9249572228600333,0.9156779131517072,0.8845613745814117,0.9053044611592547,0.9124919846819947,0.9239995023781812,0.9346751630541449,0.9210739821309021,1.0112178538261152,0.9929487927917499,0.9696586970050353,1.0581055345797854,1.0749249424324776,1.0381118426828129,1.0819581101785234,1.2394878377503573,1.4427860889661905,1.5605376897223922,1.7497741395499573,1.3781028834924203,1.1987050364796241,1.3383580090817777,1.2478134092885245,1.2304646578216036,1.1729268445829542,1.067884486901094,1.212746971652638,1.0381842619007906,1.0154637424114854,1.2500560008259218,1.1188736386534237,1.4827949173790147,1.0406466466083824,0.955486722076839,0.9016980196786036,0.9689015456729811,0.9755473651142228,0.9193527156428418,0.9556780627734724,0.8808638389851107,0.9004835727954577,0.8619213479549899,0.9074282776686797,1.0847417798804082,0.9054104760099371,1.0810662050622446,0.8862229196923158,1.5198542741816372,0.9325729046669443,0.9413494196078063,0.8977229134714378,0.9696824940319876,0.9936526195135046,1.0648896647782204,1.1027195226058284,0.9462946094931413,1.0676143108251483,1.018867331228365,0.9538754878647929,1.1418874010711262,0.9513189011543396,1.0007406687531752,0.9112361434837688,1.1412165126907188,1.011435875929515,0.8830326099750492,0.8437074266846772,0.8794980952790353,0.8349332684037464,0.8575004466424637,0.8358555051231344,0.9205778477774363,0.9348239840516256,1.0618320898573972,0.9678012895724446,0.9894032888904438,1.3612836107141895,1.1390724955968894,1.1087616301899144,1.0602972196450577,1.1361086005939793,1.2805516190880248,1.2204019475651788,1.0859034057588348,0.9456891128017698,0.9534570491861682,0.8610126507055544,0.9004569607031309,0.9218440399152891,0.9230510693274241,1.0351239549077087,0.8054527472488627,0.7690300215379263,0.7716561212896594,0.7786586573783821,0.7825124701984505,0.789717447551554,0.928336931312945,0.9880528945701101,1.0209498215680382,1.0531783553563987,1.1177310915528034,0.9995020299750105,1.0067585173822038,1.0300524788067271,1.0935170564088679,1.0409589270658535,1.0653352936562575,1.0689752241060493,1.0877519685409966,0.9452785447308829,0.8656696186980987,0.8711065245110066,0.9536648505343562,0.9233045991078196,0.8877703996406411,0.9394746164202876,0.9507929920211443,0.9497293568785268,0.9724843330989412,0.9574859364719771,0.9287471615874396,0.9555988479914603,0.8734110829728489,1.036814168605137,1.2487112031461807,1.1208236709708104,0.9211131405317375,0.918244203413258,0.9414609389459568,0.9508260116605396,1.0208784865331237,1.0212995033399217,1.0231326756741759,1.008617538759683,1.0060405942910695,0.9994568729643667,0.8599407024974166,0.9775920967117172,0.9754314556662944,1.0442544004694159,1.018775172926418,1.0207994756667642,1.0142856883411226,1.0317410903826485,1.0352595600650178,1.0308223113735182,1.0669236993130842,1.0397529050811616,1.0817884360438743,1.0467262806920172,1.0413108986141695,1.0854672608036522,1.1055234541386705,1.0912573655030073,1.0887671783663626,1.0358918177877323,1.0597899153735248,1.1631920748364022,1.1207915622009794,1.2480305746623426,1.1048498792848058,1.1663574735760822,0.9879047808709066,1.0183721417995213,1.0817851003982542,1.0626717902310394,1.1494193021386083,1.05722174688772,0.9701799691114443,0.9116445307466571,1.0043979703986052,0.9117186534845592,1.006338823668932,1.0239055500081349,0.9106849499639745,0.9206611773322325,1.0035846821460728,0.8109601702116629,0.8470090194268366,0.8803831445785607,0.8935271949310089,0.8817188327710079,0.8854113306759979,0.9365194807183956,0.908470371077314,0.967454519696451,0.9630355969385972,1.0225678422723863,0.9560954422088367,0.8649129047450087,0.8390316829299942,0.8466473714242078,1.0700578622325503,0.9606067401252337,1.2838576927899212,1.4081748264620182,0.9480087405099287,0.9706361083067746,0.9860975137656833,0.9525756382855861,0.7876648168735277,1.0561246825347632,1.057903412891696,1.0071677458912867,0.9288848339107107,1.0412676985632485,1.013613626167278,0.967140435721149,1.0758997150004763,0.8741348314113235,1.1207495189442844,1.0342570009229022,1.0496309383915794,1.2074374009454882,1.1960904304316622,1.330780669498993,1.1812943898512396,1.1031633426979144,1.240151130432148,1.2471311579934317,1.0497081568382334,1.0511482614172434,1.0987485194239293,0.9823880969060544,0.9227763028807169,0.9652265347887622,1.1430636664806841,0.9016871779275695,0.8968993146355996,0.8664153601006098,0.8648609014459705,0.8788220329186285,0.9728037013712834,0.8437235118930478,0.8624623559871966,0.8800617063920458,0.8316291005952873,0.8683833395403859,0.8559498508658024,0.7925684613879639,0.9630494241737718,0.8599823628379615,0.8580692134094996,0.9685301056163541,1.1230418091195775,0.9859407585729176,0.9164589278562089,1.3305114020721531,1.5532326596028416,1.1468533937444028,1.0504164925184716,0.8822940355206552,0.8768666729056724,1.0516111377496062,0.8566310219261836,0.90846433613944,0.8244729493802234,0.7372399091334055,0.9139719076623454,0.9564913758550267,1.042399523707942,0.981877429007817,1.1773706626962963,1.1435142764438642,1.3793150257157802,1.4297368700266786,1.0359708967629864,1.3877296419823006,1.7596153175542377,1.1154074219719026,1.2791180506575017,1.3418617400870243,2.29846420565526,2.4824334812210225,2.6161517355471484],[0.4950947554064543,0.5189472530176584,0.43314438987836007,0.3089711805112806,0.39090293975526674,0.3889665874472994,0.3312969395650164,0.3467471614633877,0.43288148460927495,0.4110296309190502,0.4533707207863239,0.5005818633825013,0.39405450009836795,0.4102510713854542,0.5091317680230145,0.43999426655317275,0.46684158913100715,0.47010672609767284,0.570878513897947,0.47823798114094,0.6220558353784057,0.6878309146646395,0.7020783543173146,1.1042970361425324,0.7230649250590182,0.6381059658629845,0.4984468578449914,0.37484754120262964,0.40186553722438756,0.38466786563719874,0.4900054634599231,0.41439978831481017,0.45644141253962034,0.456859769525381,0.3930965441644112,0.41883461890035967,0.3944353442225286,0.4665605248224576,0.40555752381834115,0.4556994796271344,0.5605922428424334,0.5631087269509486,0.5838706254214748,0.7892972528201967,1.174352074285085,1.396088796062659,1.67694559792256,1.0294898172253961,0.8119184287172098,1.0154556661619596,0.8770369714717402,0.7835975609588454,0.7435702028695979,0.6102292982330165,0.836121845234673,0.6220786939104863,0.621760086046956,0.7634684050868722,0.6384779663878024,1.1958695222526938,0.6935630979654247,0.6361212220558061,0.5867298876586705,0.7465004742292414,0.6572566289933284,0.6059580335598863,0.8173147415841077,0.5131344314113392,0.7026648800382632,0.6165865048123313,0.7297493422298059,0.9881804335778046,0.7223455248620473,0.9455491164614771,0.5930793000993647,1.1742934118183486,0.49828505038425625,0.512248859157761,0.5044272987626031,0.5771039856487934,0.4433834858288538,0.4839991335405334,0.6047820823670039,0.43216833790742637,0.47151049771059533,0.3863991547017734,0.4194791533734052,0.6025805424158139,0.4491065352862043,0.5348360590333597,0.5121275612267213,0.8093933160283618,0.7173389367260726,0.5813864056111785,0.535965992173592,0.6338829081049568,0.6454211785609507,0.530345103908367,0.47125946857803774,0.530267273383957,0.4083317728635562,0.5605261707856238,0.3926105502455705,0.4242414806948906,0.6995050643053629,0.4871437746831263,0.4894079280240004,0.5124732097198551,0.5037025930745113,0.5927244790232398,0.48629173581863744,0.36600794023055067,0.31652337474669545,0.32276415861111174,0.3896089671239978,0.34761222440728523,0.3814406887267835,0.4245515760308089,0.6982463773679767,0.4190228194151355,0.4643910654628636,0.439062480534742,0.407893229935297,0.38014775265094014,0.3675780645764641,0.34885740976535584,0.3512264162512739,0.377070219737595,0.42087414870476114,0.48144239776933023,0.4935016892384771,0.506168621655959,0.5046715320899126,0.4403456282556406,0.44421053513875536,0.4026059129181547,0.6132531469878111,0.4600546265980195,0.3505754429722944,0.3798360724941942,0.3790640829970425,0.7703252973820728,0.5851738658269917,0.393205460913857,0.41614629725328245,0.3932766206855711,0.38299686909560954,0.3538165335960077,0.33566260958742916,0.3624715132432107,0.42041514084794407,0.40495407871868094,0.5652241358807271,1.1603500446311805,0.9345994457633258,0.4136690118029146,0.3860061952423491,0.37810012184880104,0.35889289995821133,0.3650245788918093,0.3928877318482896,0.3826239844368312,0.35773352046540285,0.41864659578449265,0.4651098958686298,0.5396684339700313,0.4934480811742591,0.614380657265283,0.6805351006291587,0.5775022583311226,0.5200395305814789,0.44277730745456334,0.42458008947948356,0.4001140967305735,0.36465944307972026,0.40747461918716166,0.44481076931704466,0.5031309813353885,0.38245233648422605,0.3979654006245594,0.4645985982415146,0.41872625279632,0.4597448369811961,0.5399684617238703,0.4659507640119852,0.534112695510849,0.6194037346141693,0.661251175853958,0.9160312782382732,0.7633169315479719,0.9213003173709816,0.6434698766328173,0.634626478631658,0.6915603395408623,0.6417875280261458,0.7977635361610173,0.7326438814927826,0.6466584089886204,0.58996276770934,0.6409485961139755,0.5034349209339397,0.4862375301537945,0.4779494491178973,0.4685446876087804,0.47225520209470256,0.5044763496972735,0.4651299503105666,0.5195560005080339,0.4875076993826385,0.5437294009092031,0.587197066815562,0.6013096687835752,0.6678388878319853,0.6548983316235468,0.7473473456114804,0.7697796142136702,0.8429037469117283,0.8114184533937385,0.6652792355537234,0.6234463855070431,0.6556084577449703,0.9592160094767885,0.7730294221734358,0.9748642788228199,1.1461887151069174,0.7157540922919756,0.809166800792746,0.7884733650047944,0.7872013850220987,0.6156194086290163,0.6712118754976844,0.7486960711025015,0.7545561815690932,0.6343467633636761,1.0178968619529818,0.9933881477968073,0.8525022058938253,1.1123702718666182,0.6045869776201521,0.8007821586428304,0.652870996495583,0.6409025337858688,0.7635875290209114,0.7638845699663942,0.8334568787479767,0.6802343578217659,0.6294234537195819,0.7312263619977238,0.7120143475125492,0.5656053540106072,0.6049629244742827,0.685269657406727,0.5730519800578856,0.5499231544640927,0.6498743079101887,0.8959026861488072,0.6367076355185411,0.6319186152678266,0.5903124048564149,0.5398198720501971,0.5108281004928159,0.5979647533095036,0.5408591312735015,0.532688747115687,0.525147388079567,0.5658459227080911,0.6087891897413806,0.5723115098730687,0.6070053039135866,0.8005530907199212,0.6974347459792398,0.6982107712595326,0.8896329041885935,1.089381332694851,0.9405734918697854,0.864567738532806,1.2827747812771717,1.4239820546009077,1.0367289485418694,0.919269196193059,0.7194676333390675,0.6454212486432324,0.897554769639534,0.7163751420550905,0.8336520345556206,0.6815484418073999,0.5543078192624828,0.5162416107406725,0.5065853856944804,0.42638362854021583,0.41410970388116286,0.5654023409583391,0.6264737133257252,0.8803643544826962,0.8397836775515176,0.6106193845401563,1.015460563119178,1.2944118593014584,0.6529658886335036,1.1253500975914814,1.135077056816403,2.1452526824122455,2.4509198042032327,2.491276329501866],[0.46099477033034536,0.46746816931236157,0.41478270882562734,0.280244604281681,0.44858642358433043,0.3891560452828137,0.34948452932222734,0.3596471964737223,0.38760042199192474,0.36096636525425835,0.3981848869318429,0.454669761518451,0.3890612069284336,0.4208270561696257,0.5946555676129102,0.5079217522330955,0.5251458568441814,0.5668307917288067,0.6954700695479705,0.5506410566411251,0.6652362659417961,0.7164535736444749,0.7770357418550675,1.1493150060779673,0.720117864275213,0.661778129612433,0.5753121510158734,0.483458524493385,0.5133681464009249,0.4867769106034712,0.5728112791060228,0.49538401101388446,0.5518974531804034,0.5530475657501959,0.5019981735793969,0.5291334196134033,0.529062184042838,0.5939820044318582,0.535140131827979,0.5926392878344415,0.6779905546918583,0.6441549708844293,0.6692029705211562,0.8652484888356248,1.234305084901875,1.4288063110281228,1.7727605073224308,1.122114277796212,0.9123680040483608,1.1165902871589901,0.9904492620186613,0.9067568842548817,0.8845772288891474,0.7170864992302134,0.8931389806092003,0.755043548697931,0.7195179109025255,0.821431706726796,0.6805353019960574,1.2895801199446377,0.7321293018290949,0.6978128142632161,0.6393770417125209,0.8056503231376373,0.7351979546792172,0.6467502473340762,0.8241508975375368,0.6221723572637197,0.7893864256072158,0.7282353416568628,0.7975778757823087,1.0718800294853017,0.8277420048655567,1.0592004511066537,0.6772725697894494,1.3371454175968025,0.6308397460572495,0.6147833356985132,0.5899026198835671,0.6321013823963811,0.5406156064517615,0.6269331760301117,0.6181477907531233,0.5480124982991375,0.578810041409418,0.5140936292651669,0.5407037730902989,0.7033045283094851,0.5564876205455321,0.5950176153588829,0.6114576241044963,0.9166657836268879,0.8213805480322235,0.6704945749702002,0.5905201466631187,0.7030429758304327,0.6930443735797056,0.552151544971254,0.4971853886323116,0.5394974512119253,0.4757315691805391,0.5538632239182362,0.4747333864881793,0.48916741346998105,0.7614902559942327,0.49266192545435067,0.5164006908688682,0.5917181413601033,0.523534102123931,0.5836037475532239,0.4554860432914837,0.4333367238875853,0.3784248219305704,0.41722206451665234,0.403412665596348,0.40969943096666595,0.45989741780052723,0.5281247503561559,0.8490803277263838,0.5155407453951399,0.5128619239200274,0.43833523883548436,0.4034965640783556,0.37799263246861514,0.35340509889279087,0.44781097522578345,0.3991031970207882,0.49266268574075883,0.5009982049292208,0.5506414402015638,0.6248504044961409,0.6280227382235215,0.6472533404075573,0.5421724201129475,0.5784377059473851,0.5071355462506754,0.6977217276152288,0.5500412128415986,0.5039981263808649,0.5299548801679878,0.4638916220764574,0.8169247036831105,0.6644196638573359,0.5058421420881953,0.5407134376499512,0.492847819276447,0.4637499847914831,0.451668201510193,0.41703154881492444,0.40734022468008424,0.4567598897436332,0.38814008852254017,0.550652386405981,1.0874272322255805,0.917509440151865,0.4187749626896867,0.4123896046489305,0.42785672484889253,0.42272107291041106,0.4399997741427747,0.5095930600904296,0.4812949037469517,0.4867271827975789,0.543359018136135,0.6200807809657963,0.752090021154202,0.6667882753904368,0.7845884340899517,0.8270809826835931,0.7224428270323016,0.6700683475663248,0.5856896315726094,0.5528203787585574,0.5116905620845668,0.4772793456068486,0.5007365608646148,0.5171765556733929,0.5456205098634843,0.5069335827776024,0.4945511420777486,0.5662948527829863,0.5034708172867332,0.5690243210200743,0.6755203811357466,0.6132796955603825,0.6707332023471014,0.736922879950665,0.7874468635817949,1.0160085189224322,0.9171263281039013,1.079325462572803,0.8257758407723252,0.8020453290074567,0.8352687058880689,0.7782920757663337,0.9155927376240893,0.8885922981856559,0.8096912152065777,0.7213092332170571,0.7028398463410237,0.581262611162027,0.4946451203171537,0.47922050035482194,0.5072511844744353,0.4688409039954113,0.46015967363671495,0.5538010360891635,0.5826809750616234,0.4862144562135728,0.5505650963506208,0.6413155863341634,0.6428106240235691,0.661487373265285,0.6925773792047129,0.8262127632678082,0.8746995907772154,0.9192079618987454,0.9991052291498189,0.797473353318712,0.7481866997066113,0.8040342172118775,1.086331875035517,0.8968082284314964,0.8032211084103474,1.1277679899630573,0.7951885192981921,0.900967832648867,0.900352779613363,0.945911130903543,0.8162579018995372,0.7052589336008451,0.8369568196220661,0.8306346779364318,0.7724963136392624,1.298186614712803,1.2602881462237956,0.991275399934368,1.328999052390417,0.7495492985003873,0.9124287893089152,0.74115869845325,0.6835938261125752,0.7532834102517699,0.7353352933169635,0.8398242822590247,0.6568663539858571,0.5764102755139497,0.6775204086792249,0.6562525297393769,0.5031871942016564,0.5478315651576685,0.6391622082308708,0.530841446073409,0.5284123527280901,0.6058662849201681,0.8643674780837457,0.6283625500146313,0.6224438826872035,0.6187450102483971,0.561758035178518,0.50961268178039,0.6082164178594991,0.6108178556455806,0.5857008616064919,0.5840381100737508,0.6751042011214884,0.7104076228386793,0.6741658447050803,0.806331320157609,0.9129336833945396,0.8658351608697387,0.8485821818280347,1.1762467514039305,1.3651480782695706,1.1938745104143689,1.0769123657466768,1.4803845690813868,1.6669868403359511,1.2379757552123116,1.1074338586047263,0.8733527034693552,0.73550378328003,1.049116091409671,0.9008229370262012,1.0541526962463124,0.8703185986557106,0.7047043649257507,0.566790969277342,0.5817922478998814,0.4476060891237241,0.41579494392787913,0.4908016441244824,0.527456666098333,0.8355510297891173,0.7550706508923432,0.5514850368652728,0.9629356560348368,1.2955816996519764,0.5934548949041393,1.0759268633253014,1.1663754022152701,2.233785403140989,2.5969760930591392,2.630180828046453],[0.7614490665610114,0.7748161210253369,0.5956868077458046,0.5723706008725332,0.5977564581167091,0.7152975722325563,0.7148212887661048,0.7661529150553368,0.8055365583363234,0.8606775439099904,0.8625274758777538,0.9303278358652819,0.9029557727163204,0.8763000799628851,0.951651263494855,0.9522438761786796,1.017728723929035,1.0257237048246253,1.0338987294828652,0.9837927370522442,1.0643081169146873,1.0822923130468878,1.1132694007250623,1.3795104205790398,1.1092028650732226,1.0580523354479943,1.0037297352364682,0.976457774575983,0.9955243384799453,0.9720516943548099,1.0222288706087883,0.9573697322968406,0.985073559388959,0.9827789449432178,0.9698836930446211,0.9912329398958866,0.9399075799272775,1.0083823509613943,0.9866661396801284,0.9504391284840831,1.008958976471965,1.0167115205286503,0.9804427692115358,1.0943863998316234,1.4663061908900876,1.7089227436304901,2.008783754422265,1.274780638156195,1.1775573547607785,1.2621472038194415,1.2026378601020913,1.1346947051901755,1.162024155079751,1.124754024900171,1.2840094533163289,1.0707544919745693,1.0755972690747186,1.0924553462949629,1.0526911034033481,1.45908409415672,1.0552064459745416,1.1215606442848514,1.0960723869931492,1.2069780493055315,1.1245122235209288,1.0980861804630775,1.2318266468362815,1.0294360255794586,1.183936378189744,1.0888104696243703,1.103941729978082,1.2627570761212128,1.1381171257470373,1.3478899747487147,1.0078060625954732,1.3844873182594633,1.0066347658036017,1.0364995502595107,1.0500052129731618,1.0767986728954226,1.042813903435287,1.018686708870737,1.0431909883938022,1.0300681048661349,0.993713800060509,0.9601318010819905,1.024159150837958,1.0858747350264917,1.0067471661072287,1.004410324948919,1.078605480325422,1.2453437295202974,1.1862343087624454,1.0591747626050576,0.9934967277872775,1.007328468099803,0.9997143084862448,0.966944673149226,0.9411954353291595,0.9326274670920877,0.9934000464498979,0.9445136039172044,0.9805269722639016,0.8742467784634751,0.9229217301969482,0.7679117237580234,0.8154693952120649,0.8401252873534029,0.7090583019342606,0.7973860604701496,0.7171147924582445,0.7633128949120498,0.799949596324188,0.8376885952534648,0.9244463725505989,0.9269901621329417,0.9616057361902591,0.9447887253289025,1.1431025095806977,0.9931765730286114,0.995477579402184,0.971101279302534,0.9780803899258794,0.9070163772847393,0.8080325055335164,0.765170097990831,0.6671338240427422,0.725060513839113,0.6953303205095278,0.7172834547542711,0.7094124396534368,0.720466788181206,0.7583799836994498,0.7512182053773775,0.7618013996717538,0.7418466350626094,0.7317821642420728,0.6919689878056473,0.7537429385285974,0.9361291196475783,0.8538972019266167,1.180344111491713,1.0451937377658402,0.9811366478816385,1.0232333693164704,1.011391809854298,0.9787176573276989,0.9269640903703926,0.8863700608437132,0.8529603975309125,0.8779982007503521,0.8396827709243619,0.9351136342887989,1.3269141089223273,1.1421249970190674,0.8802943293891259,0.8950855736552382,0.8767330628329457,0.9108549620334666,0.8653277771337429,0.9135567094695944,0.9551390913085511,0.9022795350566668,0.9580680673745418,0.9459685702020767,1.0124908809720305,0.8658898347947332,0.8967720395397746,0.8171628851387495,0.7959771272681319,0.7922543566270727,0.8276179385281344,0.865119268093086,0.8910014086755146,0.909366897635223,0.9145485606547024,1.0115577129996804,1.0140884404428432,0.9196798328252276,0.9079116105897816,0.8914463369308966,0.8100075163947453,0.8255860100061059,0.8684028092567736,0.900442253812924,0.9695662885651082,1.0066170729990311,1.0617960130402866,1.2492060984460036,1.1174818677042286,1.241418450786926,1.0727310304471673,0.9491869990322542,0.908640363935975,0.8263636864370667,0.8701756632559723,0.8478377548863189,0.7635678306019261,0.6695312406026217,0.7491009457977201,0.5980073191779186,0.6144923157255635,0.5951467804866568,0.5359938039156935,0.558457078179917,0.626701363698024,0.5596541767128702,0.6068610398886439,0.6477682582814768,0.7051407087747024,0.7054759879286576,0.7403134455393512,0.8584029725713319,0.8054704243924969,0.8473814070603163,0.8371150909515838,0.9307937682721149,0.8257703807017398,0.7188290128821331,0.6906472461184027,0.6941448949367726,1.007727995347019,0.7736390842001994,0.9827595658177498,1.2405889934814585,0.8453484229381765,0.8968389204670016,0.893199413041123,0.7553778618843033,0.6771151876835667,0.7023477642933592,0.7586382766706035,0.7504144937341959,0.7009899898437827,1.2287434130346688,1.099123174388627,0.8625600950785164,1.2853876540992906,0.6893649266572037,0.8901319253557494,0.7780794839361523,0.7410818029422284,0.869811511881929,0.8797384053699991,0.9841466203532502,0.8017737066646616,0.759300824112321,0.8566970301392213,0.8282436528868696,0.7367176202294563,0.8229466840331034,0.914331940664705,0.7792528082814708,0.7449076145188617,0.8963619419165728,1.1165907238213995,0.8231019119718479,0.8007817573737617,0.7168740127765698,0.683199399149438,0.6594251736420079,0.716598845537645,0.6421843979707632,0.6377979259565899,0.5773554216529143,0.6129201584878122,0.6656553573556938,0.6200978492813501,0.6335762408729952,0.8060072492899868,0.7271277221311542,0.6900331936896041,0.9554661521717914,1.1500883769996448,0.99623466633533,0.8698108807766817,1.2827666961107456,1.4084712439289,1.0424190674491838,0.9163506289466388,0.7554877682125338,0.7228778357065803,0.9288723051196158,0.7493387993269105,0.8446563610390462,0.750369786514208,0.583426747703884,0.5667061742900995,0.5963732768390401,0.5933926165009566,0.5728346767582426,0.7438704779338065,0.8675957566996971,1.1919330971014648,1.0302178695147268,0.8940021376871496,1.3817723855453141,1.599171407894384,0.958988925435009,1.439286184453169,1.5899139298429517,2.827073589089909,3.31990176392203,3.2378259368202764],[0.5990266183585737,0.6254376381934019,0.45122995540056693,0.417851347637739,0.3697430552284982,0.4032652013371571,0.32756032166823873,0.3330582185514746,0.3520013437160439,0.2730324234827025,0.31466321248490625,0.3752032609358105,0.2784455814822882,0.28033405616568813,0.4261609856670763,0.3575037857128444,0.3953038540850659,0.401492373002301,0.5115211620516541,0.42249954331923734,0.5500729350236933,0.6351889934909091,0.6665294392013127,1.0227571715267971,0.7139340289782251,0.6010488096351789,0.4596919643042282,0.33164291998101203,0.36057256871090737,0.3263769415834796,0.3964055355731393,0.35747142734718396,0.39147626683735776,0.3787080299696685,0.3398432032314885,0.36722472350295554,0.35651831142881085,0.4096496368271236,0.37866046238526924,0.41530928004778395,0.5276384152582153,0.5141565713558184,0.5106793741318291,0.7066184923131079,1.1143537644774022,1.410517042542891,1.6508199515510886,0.9306944343609975,0.7733199048879863,0.9399306240544705,0.8292241932289508,0.7312065263222404,0.6890579181684435,0.5961037873595112,0.8458479329367071,0.6041339814744336,0.6217028824996752,0.7024686222621827,0.6111513730279704,1.1761678387608983,0.6582128653650863,0.5814129039936611,0.49420722129028377,0.6508372313639245,0.6120355148267609,0.548650367914432,0.7436462136796762,0.4351248707281459,0.6118691179195261,0.5473848293467594,0.6266596674339184,0.8690438462602457,0.6236906006603827,0.8754617783461589,0.5034911809022956,1.1181522723622805,0.42492358841955347,0.425761682037251,0.43056685937762296,0.5152398770444153,0.41419520517333996,0.4548968969625354,0.5700902653068147,0.43975621207921683,0.44980450896561974,0.34589396009257467,0.3995103309982199,0.5536554751831853,0.39234198537405407,0.4548235973061392,0.42561511199769625,0.7234768303972615,0.6335797776020974,0.47625956326239616,0.43291597300143125,0.5240546125559521,0.5615072439269381,0.43472262726527444,0.38290810411342885,0.46954756718300505,0.3768211920117846,0.5159647898430735,0.3623012479288936,0.39689924427381185,0.6452709476381769,0.439089702242596,0.45785102987738524,0.4844559109809762,0.38555728266617384,0.5404671784723336,0.40572392183513367,0.31198668608583296,0.2997997853337359,0.3067628601011867,0.33547666216074784,0.2905454425038366,0.3049672839972763,0.34255588845999063,0.620760039620205,0.3201353708836462,0.36106403033298884,0.2739218314123986,0.2895869500477667,0.2935796587409512,0.2884323599972243,0.34962527115767855,0.32791087277077224,0.34447538114367504,0.34796116894548235,0.39116192538007927,0.43080335796887287,0.430790798933977,0.44953032478574767,0.36638551252869195,0.4104633725830404,0.3500872936752958,0.5473387239618315,0.37957260249952507,0.39962678885479463,0.47781355584042684,0.3751933326251456,0.759704243151453,0.5173307964768252,0.37955843302746184,0.41492763908585195,0.3540199268894249,0.3455585830458113,0.3206987681827799,0.309990180491054,0.3270221657700662,0.39590331069352164,0.3537839677934937,0.5415348697643089,1.0460456932543136,0.8549446415133555,0.3618578060377262,0.3331011026643019,0.3554128456335949,0.317759268255893,0.32537862694076447,0.3783405982649892,0.33511804110174603,0.343526026295745,0.4122164119378081,0.5034682386683431,0.6860845741483891,0.5534698220512883,0.6502237562910079,0.6427483255692155,0.5881484727778432,0.5179479839414732,0.435916171329375,0.41484928449102243,0.3936052355287455,0.3336986516045794,0.36982261593442245,0.4101098293734784,0.4492747575107619,0.35235659347786913,0.36711333818667036,0.42655273022170676,0.3527312031523811,0.41198388828994403,0.4992465087786294,0.47770955270100035,0.5013612204300937,0.5813366947047913,0.6361946133822088,0.8982554920689287,0.7687023428589281,0.947394592340351,0.7193385988566989,0.6623709619493423,0.6796810639223773,0.5971997431766711,0.6844576775894027,0.6565761269726393,0.5746317761079757,0.517661528061224,0.5493545060622733,0.41193590978949973,0.36697791492098375,0.35532173771182124,0.3881591555432083,0.378914357330892,0.44339182417373024,0.45488798245344103,0.49282061690604834,0.4602886677016895,0.5461003685685739,0.6045415466414766,0.607935507974689,0.6958250806089691,0.6819817162621407,0.7406932451169181,0.7615625371382256,0.8131105623185021,0.7997462213118611,0.6549178590994295,0.6167867649942818,0.6408571021301525,0.9726174668892376,0.7282289436998258,0.8506246127510845,1.101458738547026,0.6776864790183198,0.7382518552049703,0.7404887305443315,0.7281855769555484,0.5851118807249732,0.5516307750555325,0.6634740536130236,0.6859654463184554,0.5821186528226833,1.1216702606546451,1.0438638905053579,0.8111216614844164,1.2235058565928565,0.5742115303016474,0.6723129229699497,0.5445122559989051,0.5355194117332691,0.6720957952316907,0.7053108728051741,0.8043655868300496,0.6019085585808122,0.5735121374912341,0.7013963324271232,0.6574786787118496,0.5056369348612972,0.5850688608816829,0.684840939765273,0.5588090812010348,0.5269830419130505,0.6308328625891414,0.9032887387281462,0.6273798902757598,0.6034595833608922,0.5603995034175318,0.510431748969115,0.46239926029329187,0.5440981428816516,0.5122007671808113,0.497940949813769,0.47194136671060166,0.5367479582069997,0.5991840394067598,0.5490941211110568,0.6212453488126989,0.790695768200761,0.7329353507449325,0.6818225485503336,0.9788811916617475,1.1581198232313152,1.0268129595960738,0.8897367399045132,1.2886245522635587,1.4829785967324534,1.0673194506053516,0.9478187507766485,0.7377162826482817,0.6578265313697768,0.9509659529190253,0.7875850562455368,0.9036965187177365,0.7932640314016866,0.5285867728083259,0.42626466603791896,0.4019445606632045,0.3339743909596272,0.3571697947253284,0.49583976677294134,0.592278037667815,0.9054268807379591,0.8254760981736718,0.61703990152483,1.1112873971429482,1.4024972400235158,0.7392285439811133,1.1747930012279204,1.346007108936725,2.461480670768018,2.8486449005576238,2.854199257106417],[0.6322545189853883,0.6606004296826167,0.5268059010095105,0.4793682141017167,0.476335109409947,0.49299483264614397,0.43746569076820463,0.4430034411872358,0.4241896672415523,0.3605792992901779,0.4050120259324091,0.4370520731439043,0.3909757991932912,0.31640067037866343,0.41478701180369076,0.369682398252778,0.45080779843655244,0.4365628320836091,0.5404791590404106,0.47461925264546556,0.6101511594602154,0.6890087628730701,0.76536037275008,1.0703551397676834,0.7765846895248552,0.636190294954331,0.5274827707780422,0.42999387944163403,0.4389618973655841,0.41901981887803713,0.4031781123789906,0.41509817385068043,0.425168312852589,0.42270180909950833,0.4251219248639664,0.4562757703241297,0.4457948176799999,0.5369071054879451,0.5390677360540987,0.582932754719009,0.6570683836860466,0.6007668118530626,0.5997978553572325,0.7886757829755603,1.1859564503930449,1.4528297215149335,1.759258060678217,1.0276070282365415,0.8806620518437231,1.048215634052749,0.95675679898682,0.863168341372503,0.8546356095320801,0.7634802264775933,0.9683933992082312,0.7682459251326219,0.7439826607132469,0.7822880824168985,0.6737627923933397,1.2822809856803008,0.741981067235283,0.6540124195957486,0.5896336386574471,0.7326457658211214,0.699645955156755,0.6171642974184552,0.797615901125116,0.44501271584801705,0.615087506934393,0.549162446219738,0.624173627837993,0.9296100121156006,0.5873018547849083,0.8647153471514382,0.5116544113304877,1.0289767950732402,0.4656498753811253,0.47427003858239036,0.5519674287190057,0.6554910091866959,0.5361423441600341,0.5990431210109641,0.6472792191494466,0.6743348748752276,0.6166790505038633,0.5302524173086475,0.5605905432099134,0.6093084040270924,0.47274904297380604,0.4639368306018244,0.4790870530671168,0.7046714103605226,0.6430528172329862,0.4824603709000307,0.4381061549934936,0.49918194345725886,0.5741323541261236,0.4775738966894849,0.4522000202762507,0.486157055081591,0.4718638861164877,0.5650466979905705,0.5476082238863844,0.6010814131977734,0.739336479945235,0.5432324927777679,0.6152851753241524,0.683184399007437,0.5477535076823374,0.6072074109620804,0.49067991538944233,0.5099228742641422,0.47543642866939717,0.5077475891777368,0.4338380032027242,0.4115997069670472,0.36497455756500763,0.3635815423365775,0.5946220053646344,0.3449101143070716,0.3598749310318445,0.32108817982652266,0.3197910716270095,0.39931424190935905,0.39302907322381025,0.5324928001612718,0.48996380724331684,0.554904501076325,0.5456351896487824,0.5639972892293049,0.6219964278549449,0.6286855972982412,0.6590454337844233,0.572615174021268,0.6077826541020697,0.5453226042257392,0.6477510998170938,0.5406447425286437,0.5536214362565678,0.6563598374243694,0.47158016058228847,0.8384178566837142,0.5663275413904204,0.5159664278510478,0.5887565886744872,0.5113110456464247,0.5114049516965185,0.4748732843094447,0.501424760542898,0.4567017321197142,0.5422193248375718,0.44814679409636965,0.582361626580424,1.0321079851566501,0.8490144338463266,0.44017436172819785,0.4270828164471557,0.5180030376099237,0.45951435677281743,0.5113135466942004,0.5726972224128758,0.5139341224752624,0.5423828134983963,0.6041769351302142,0.6830855784446672,0.8313815549273315,0.6966569533768929,0.7664388900945864,0.7481509373162752,0.6951139057064859,0.6696655296892655,0.6266228941445939,0.601554264538756,0.5809888908839392,0.5391854620997008,0.5252114274784788,0.5439932128279685,0.5460658837493426,0.5433030135701865,0.5532555146044291,0.6067313950700767,0.5413210664881652,0.5998381661703125,0.7047389172251247,0.6743160615447066,0.702291634844261,0.7416903803599836,0.7889993129156213,0.9906715411921062,0.9134973429252577,1.0791109338344693,0.8768097158588408,0.8051015167807337,0.8225262994599969,0.7539133477941463,0.8359722737746729,0.8372232245213594,0.7693814158013024,0.6571076403118963,0.6778267493886466,0.5577264563473053,0.5125360824400869,0.49414703537176785,0.49769309970382064,0.47570667139292594,0.5125494788985838,0.528523344278919,0.56356616461562,0.5041183141170813,0.5701125693600528,0.6433065361511701,0.6315069849787348,0.6673399707972208,0.6906690423410075,0.783370931023738,0.8157404279911795,0.8458619567534659,0.8925679824133412,0.7197890163246772,0.6701747085442451,0.7275451899566994,1.0223594027996235,0.8880689717880256,0.8197100214322178,1.1442304732770923,0.8021738671669274,0.8840441556604464,0.9191580621359792,0.8609728867236033,0.779303582969382,0.694942273530934,0.7824968734274799,0.7514712068571953,0.7305854224381161,1.3319674863017588,1.1533666753674712,0.8948946102893188,1.2750354835709876,0.6815766763600104,0.8858045955523467,0.7402932104499251,0.6886861987407682,0.7819383551541137,0.773247418650628,0.8979289501611916,0.6964172824463576,0.645600310838802,0.7405890423112266,0.6956295315506016,0.5779745329658721,0.6184578306878522,0.6971395895583249,0.591452592840566,0.5600155984014459,0.6219403526655838,0.9162647585009435,0.6112814407181705,0.585130272378332,0.5753811200506986,0.5722888291599308,0.5604581082445023,0.6316037222179095,0.5798600933298573,0.572237416288905,0.5544154303189195,0.6136661397017464,0.6680413359628119,0.6429634852641669,0.7408702012585386,0.8677051483086264,0.8185692084922709,0.7562186653310123,1.141944658246711,1.3128568776308296,1.1348224105862834,0.997214741604543,1.43419061768158,1.6169822460111865,1.125365838081128,1.0115588028709792,0.8274659958296324,0.7229648554209542,1.0176116734524283,0.8719073230527925,0.9759555537512251,0.8471238275188365,0.626847575308469,0.5180937249812322,0.5393786184307462,0.45386829648554944,0.4465524317741522,0.5151670778257239,0.5527599304848136,0.8429105384645129,0.7688784136916063,0.6402800277377161,1.0101601910829356,1.3072949770375302,0.6817207569733081,1.0814271782331697,1.2844212716395946,2.349338330721301,2.8086697953584934,2.902388073602227],[0.4935637020196367,0.5553301426168242,0.4433603441496412,0.3885279769706527,0.37728936767210025,0.43389905255004174,0.37399017740682616,0.38572511548298977,0.43379381135488154,0.3864589283957303,0.44385082232991085,0.46590767467768796,0.38988269440130924,0.3849451800862588,0.5055521651628352,0.4006450579590909,0.43973680817381416,0.43243615116307976,0.5539651592161241,0.46185249565108993,0.5862582841489651,0.6346873776518982,0.7011729784064703,1.101599872177222,0.6934964530832657,0.6239031877296425,0.4972833884173407,0.3987978792533026,0.40535203828399935,0.4063684613222311,0.4338950783133556,0.4182390625475789,0.45872679697737223,0.44770517442800317,0.397430478538954,0.4344023368133882,0.4113852224833695,0.4779200308624274,0.4594078454300106,0.5137052153863073,0.5904372710954842,0.5596729328039444,0.5808540130619257,0.7929494499033152,1.1794992662881492,1.4246649845767998,1.706677941347785,1.0536904791140094,0.8636846103650088,1.052612929152359,0.8939371009889074,0.8162297752119332,0.8069660058116728,0.6554831953004893,0.840434356029013,0.694619911929983,0.6703827454526999,0.758105999210393,0.6313706382847779,1.2275965726876192,0.6848975137041523,0.6269671402285181,0.5755521858932905,0.7274259563446226,0.6551941484464773,0.6038086440485383,0.8026820798779746,0.46280927525710125,0.6299401130437403,0.5880897994909579,0.6396121609249978,0.9477234093188958,0.6283582727638387,0.9227187355989903,0.5188400267982957,1.168764668920846,0.4733877218849952,0.4904829209341752,0.49498204545140767,0.6003982849635023,0.4856230221008375,0.5728113612731447,0.5734073132005212,0.5175677276751006,0.5248967614846127,0.4333556703811196,0.49273184718630575,0.6282529572337191,0.47026315157619675,0.484728809870786,0.49346246202288374,0.7992275655324957,0.7178651790252337,0.534897086185505,0.4825762795695458,0.567353344857676,0.6075158446190292,0.5003510190276151,0.4622815503854655,0.4680684286198527,0.4334220076650078,0.49796474531094903,0.43705848669589903,0.4421740184207715,0.6357693057409409,0.49451140912420216,0.5103903667475546,0.48278476722409414,0.39997248387376033,0.5569813025358734,0.37860462565924125,0.34470697530470923,0.3345056147739271,0.33323985935696343,0.3559688420740022,0.3252530186129059,0.3472233408210048,0.36603488397311273,0.7198607330915475,0.3549607380316704,0.3808478577710941,0.4091222904056728,0.3679072193059638,0.37920798437964137,0.3584367019148366,0.3562925010412704,0.3284174461707811,0.35461422983454666,0.36364890385738813,0.4333714185188766,0.39210448333792663,0.39517107452127315,0.4221574468675709,0.36357102496073307,0.38761201485349606,0.3262266962175046,0.46915475218228087,0.33888880953051326,0.3341552282261678,0.4585159035143572,0.35005949699698496,0.8862551650217058,0.610423758533594,0.41890207492433723,0.4662482768212646,0.4294819214559084,0.38378447789417164,0.36972518805225835,0.3332084002437321,0.35644142530026696,0.410615852984523,0.39283166784991874,0.5283748805408847,1.0141876115405692,0.8450411966583403,0.4291718851176015,0.39951754283684043,0.4044319176526326,0.37599873927866634,0.3468543397424304,0.4354966339947896,0.4111005841705694,0.3803788464680966,0.47477538218538906,0.528176285722494,0.6326329415930838,0.49225366943905857,0.615604022357057,0.5724659740730637,0.5129834199059506,0.4541659485105038,0.41656232683459476,0.398399997309383,0.39516822562225135,0.3739434142896649,0.3924353674539774,0.44749580182043247,0.4733261603884361,0.4146956477750013,0.3840877147095278,0.4407273779104606,0.367642346466287,0.425286730906013,0.5097837314335277,0.4767566937462815,0.5412195832854105,0.6717524211590524,0.6643167181109414,0.9781425242702056,0.780171278004969,0.9459111726350736,0.7244532204980024,0.6246908881465179,0.6330109089466028,0.5615726309258295,0.6529851797214802,0.616884846946661,0.5481202838615237,0.4685667240988928,0.5138317741538636,0.3907172516461337,0.3810533245741276,0.3479309328132059,0.373918498902334,0.3592300476292583,0.4233457756850717,0.44083166416494757,0.47303501217684024,0.43791797846292796,0.5241156848998824,0.5780787776783273,0.5735978392233267,0.6602747066418025,0.6546370118914059,0.714945555307283,0.7502442078062249,0.7740266187761637,0.8074114743158903,0.6297387776111385,0.5887053957795177,0.6093780804850742,0.9880805177925516,0.739930706470472,0.8239471463998338,1.1124663195044064,0.6835233473207566,0.7255500306522557,0.7854695539060073,0.6702564091463474,0.5733314967964633,0.5526061678386858,0.641884570053909,0.6081183181474871,0.5478891702625078,1.1968668359067707,0.9728530603941403,0.7479645608020282,1.1169031596230923,0.5166882104644557,0.6948396840156569,0.6075989351109455,0.561298651728739,0.735229785463929,0.749384643901613,0.8842848346771658,0.6493127211451195,0.6160576286447049,0.7587376661327796,0.6740604974814843,0.5231338539418583,0.5943527755246321,0.6857910563808268,0.5401492584647654,0.5051411978440968,0.606756065330407,0.8633065798940429,0.5930962425250044,0.5594167620825374,0.5217398923028798,0.48235526437053494,0.4642100084997255,0.5480125278588633,0.4723393102311456,0.46846255044116225,0.42965656296476035,0.49689112775838123,0.5773570454814652,0.5306097605778878,0.6028305858503197,0.7895431709955434,0.7436593663917932,0.6467218432451953,1.0257782260172983,1.2175239718376532,1.0578438740327571,0.9147659421282626,1.3583339774326022,1.5420057973257568,1.0762475772776778,0.968996815947657,0.7512581130746794,0.6593764770468042,0.9745294558119101,0.8194859994109825,0.9287268996274202,0.7998865282262464,0.5110689008137684,0.39751380880710435,0.3596267888494207,0.30799710628144394,0.3501530210733486,0.4589822918239693,0.5558759731597034,0.9320428711474467,0.7293042837085302,0.5583540115555069,1.0843151463859708,1.3015986548630716,0.642482751902037,1.126148267730518,1.3878149521549128,2.6914321409577844,3.302727414940376,3.308220003640633],[0.46897523786779016,0.5145650458296274,0.41113636944091025,0.37602818462365845,0.35174048787542833,0.39289942468768096,0.3086844517511724,0.32591967406237554,0.35313419800864126,0.2733085552283198,0.3106567373171402,0.3819198038041931,0.26886376357783875,0.26653299722454127,0.43351296904285097,0.37488488190072883,0.4108665582808694,0.42909646945405144,0.5506074180929731,0.44759352336022157,0.4952420643019849,0.5522044108865051,0.6203191553144085,0.943727451209643,0.6350467388281456,0.5604652273545258,0.4677212141201776,0.36665583526139295,0.41905868581417427,0.37438865370899427,0.41799325538541765,0.4036720458502059,0.43237603484156134,0.4251669103230629,0.3990599370975722,0.4238518388724361,0.4295902931825482,0.45001750939727336,0.42834112872777136,0.44768671027062673,0.5471719115775878,0.5469955137601313,0.5321987652401717,0.7538743147059763,1.072986648805638,1.3529910145768085,1.5241381534964564,0.9565174603646255,0.7474367969859722,0.9185644578476142,0.7764606289375288,0.733114616248984,0.6628089454859837,0.5802767183718117,0.8484253703704486,0.5645000000857365,0.6147428218669889,0.7071951279190465,0.6314331705135356,1.1813856878923343,0.6426288060308214,0.545889843724693,0.47481553471311766,0.6114885859387253,0.5540752758752671,0.5079722657167373,0.7038288587510232,0.46370126947944507,0.6250716160332983,0.5600665124363221,0.6304771087390721,0.8793118310725626,0.6250377930787839,0.8890641676340427,0.5097635917499118,1.120989375150302,0.45708956555288327,0.4549821786755824,0.43608805140363244,0.4991463737157372,0.4666316636400064,0.5190854941943202,0.5877075219805868,0.3821364958373699,0.45111954038765906,0.39682179794070993,0.4403172933805579,0.6246452636344114,0.43374144370777074,0.4897583112441963,0.4613983156133749,0.7499659014487121,0.6295267680978541,0.4846309416040278,0.4456241692435254,0.5149035878174733,0.5617701853414326,0.44530537046751983,0.39779956529073757,0.45718643740284187,0.40867225602239227,0.490189399966241,0.3706237480229816,0.3711498013724385,0.5981866287769063,0.47137787028946254,0.5013858059977567,0.4441551418016999,0.38702244386816936,0.5727667357344132,0.3881390722279477,0.3096155435865184,0.29670080345922734,0.2743949222472785,0.30569504097264555,0.28484320923587786,0.33836180323087467,0.3923354942370343,0.6671166996158492,0.34012942997647816,0.36140009652596145,0.25149649968310495,0.28450738899520484,0.2543896571693334,0.251179273872945,0.26746478332675305,0.23012350887334151,0.2663545989210147,0.30828884528787037,0.39984756179739384,0.3286140042126736,0.3430811884044159,0.3225289937525273,0.3105219109788324,0.31291129943603674,0.29641191603392775,0.44964698092502425,0.30766237723457407,0.28193041502081245,0.35327292025283685,0.23802894594253973,0.5968246152009017,0.5279805296638781,0.3638786451778694,0.4030846625132528,0.4035674763128562,0.34764503990915335,0.3513528574281524,0.2946953751061017,0.30457515506112215,0.3743989668762474,0.3515180662581687,0.533563209615796,1.0189522053365023,0.8486242951989226,0.37780409226798695,0.3434075555328664,0.3453647108766739,0.3375130496866832,0.30883359743013394,0.3713317821186441,0.3729529569429401,0.31914892133259576,0.380952635000002,0.4227854866705723,0.5460542970544268,0.39443754481798127,0.4819740477339012,0.4573022675174078,0.42076724218025846,0.3668851967243833,0.33647289366425875,0.33170361687090055,0.3321920383870891,0.3194668827687581,0.36830360963054437,0.4161741026436582,0.48343419798074655,0.3790067214983325,0.3581238102491432,0.3718549381600362,0.32799445984541126,0.36111040971653896,0.42057541867072185,0.37659863423839135,0.4361078384956386,0.5549459999035921,0.550526378397455,0.8695293725094613,0.6322401802391652,0.7896088694352734,0.6287656599120651,0.5296220042556083,0.5544131420987153,0.4728508119413586,0.5131542325108279,0.48687839905895625,0.43428769554982694,0.4048781219169526,0.49473209878287444,0.3559115265329753,0.36857282917594775,0.332285015500944,0.35483956649210663,0.3518341771654223,0.4186716283165288,0.44609880984932376,0.46643069111656377,0.4471151077030311,0.5268230917216699,0.575728996300222,0.5721305473956062,0.6677134460208652,0.653966010814391,0.6962017465230343,0.7351252976040833,0.774076499913102,0.760288486330189,0.6044599204891532,0.5715770308165041,0.5638074757120133,1.0116311246811769,0.6753906131622197,0.8757919710648098,1.1070202571714467,0.6752691712616729,0.7207320857203505,0.7676870027699277,0.5748123216254307,0.4776644678353335,0.49625754752444373,0.5406566339797413,0.5516659077190682,0.45152443092707806,1.063019160506733,0.8440510641506864,0.6840961025354305,1.1052507963717868,0.45728070023903994,0.6069840862410685,0.5557545489058978,0.5288895529921028,0.7288374079377038,0.7649666989607076,0.8900257633883636,0.6407806477214413,0.5946991680817684,0.7883497948197115,0.6916977052678511,0.5393482757359601,0.6140634183596144,0.6971254352853645,0.5464939372719189,0.5170863832849675,0.624768636928852,0.8557755459274163,0.6142334105238919,0.5837047778662674,0.5336311616209343,0.48985803053078353,0.47074038169213983,0.5398547758183356,0.4584880902181203,0.4623318182802407,0.41896189171380144,0.46441775207147556,0.5445470193198841,0.4814717797037418,0.523382628881164,0.7074708011430257,0.6738560778219664,0.5844836116657396,0.8669225407975137,1.0564499583278828,0.9591073996993913,0.8485169651555093,1.226373177518438,1.448825034473927,1.0242787666839035,0.9386855486021136,0.7292629009514189,0.6571532993977839,0.9745635342200805,0.7974021540738695,0.8728205317196851,0.7777155999538609,0.4815245111701889,0.39313043163567224,0.32882778875850194,0.298448668769853,0.3239489555309916,0.48333284032436136,0.6265579083272685,0.9941383751487906,0.7552788344505569,0.5697740569023139,1.127922693079293,1.3348570193730787,0.6210230516144866,1.117552962455207,1.3873409523918876,2.7275556982589686,3.3400280821785384,3.2905893008546157],[0.6044099902430532,0.6448133533381032,0.5452305245480493,0.5271801163532479,0.46440921771590316,0.47581268045910735,0.48015768770832573,0.5254611357172037,0.5037395282648844,0.4800095511154549,0.5063893959199909,0.5277768766618651,0.43767468999874676,0.4179887425477113,0.4555008911859047,0.43115994378758826,0.4805448059407268,0.42949547822137474,0.4971417964551865,0.36961706656806753,0.44549626833010286,0.5452395050462673,0.6321168362124481,0.8498299149738481,0.6683536744685393,0.4853448435535172,0.39508691733546225,0.32145820731615793,0.4216021009772536,0.3987682727163271,0.44155531994761915,0.425984862451308,0.45208626704856647,0.4042850871808254,0.4036005948600928,0.41881091689405026,0.4112969625012815,0.4802113802556777,0.4137639682451273,0.46054755800239877,0.5343090430682715,0.4943811903453396,0.4977962575981731,0.7097167454189319,1.0664470029499185,1.3660877303099959,1.5493872886194509,0.9213617114591154,0.7560188829412223,0.9295651085706702,0.826650422485146,0.7583426264076173,0.7122726195477479,0.6114882454335604,0.8791113167718034,0.5954755083724839,0.6261421762887321,0.6963681166511773,0.5842728717856557,1.1779700796794754,0.6277166576594473,0.5330373307824292,0.46180365296925824,0.5581546895208067,0.5551308599910286,0.4789873381380051,0.6147183785561058,0.38140898189717115,0.592754422352972,0.5397091532393988,0.6231963822918982,0.8863960578809951,0.5645378933549378,0.7801994696719471,0.49263001913115295,0.9300187843115397,0.46082525675537606,0.43303063201052333,0.45738231923463124,0.5137303200029748,0.4297968507402456,0.4974568971010353,0.5639761073982837,0.48263975119067487,0.49201309351384825,0.4214057229324778,0.42847919445889315,0.5906031585659047,0.40860038670348536,0.4363570510228007,0.4557449136064442,0.6936929099747958,0.6498476199572811,0.5050732207804588,0.46677497474732016,0.5401878250577499,0.5907809909969549,0.5134602696482334,0.5251908199514571,0.5484352834838084,0.5209449438903323,0.5839449369881207,0.5155589985636131,0.5319732106012042,0.7780686202429934,0.5088208664811347,0.5174439665961721,0.48628467986449164,0.4132518128379926,0.5939282942022144,0.4216734012606653,0.43083818895906184,0.46640601652940283,0.4517047910707037,0.4484243566629872,0.3749054714383027,0.32543830009750957,0.3143254870109423,0.5226892263429765,0.34222069973898644,0.3383990837839147,0.31317977599129104,0.32275753077336966,0.440941372987856,0.42584529768638063,0.4757021117931186,0.44908740188323176,0.4155628477229736,0.38200786920582386,0.4535607905133812,0.3308606633164204,0.33480163303845045,0.33943741024674995,0.33727657810910683,0.3317485919246506,0.31487751690096805,0.4258975328058174,0.2942528914664116,0.26464664589086173,0.3845520410843704,0.3007995224842883,0.50934867294205,0.3817272713794501,0.3331193276399433,0.40418949079037886,0.39420779047698146,0.41368612256497067,0.4540367862395863,0.46159088958948563,0.4647908115709232,0.5056192655718756,0.4911353136428984,0.613158758178413,0.9916325330619232,0.861635584074998,0.49454575825492664,0.49788099386003776,0.5030969865120084,0.4772570521448323,0.46279189861594067,0.46802310587945894,0.4254969599520743,0.3599522677844555,0.41664907907030796,0.43721552719329143,0.5582436132650113,0.3868119696757665,0.47964252507607497,0.4715890964701134,0.42593616736673967,0.3694866013839648,0.3573798397903325,0.3671856750296093,0.39431916027614644,0.38752207074962486,0.43698447771451115,0.4873266682549176,0.47129121560598736,0.4045560746736207,0.4062843065602242,0.42433633723859665,0.4035687250296687,0.40946680687992193,0.45503227371075256,0.3963223192342968,0.46736369308654346,0.6108708391870579,0.6004907373049477,0.8694746221763149,0.6647741390619741,0.799472969717897,0.6379660064375604,0.5286956854355785,0.5585631442929203,0.4702277376335326,0.5214598218606401,0.49473404969306567,0.45439152875536853,0.3956911562214725,0.4622766927854174,0.3557596039111691,0.38031865287187194,0.3496415551430012,0.3662373002283714,0.3621239196327729,0.4375179451467336,0.463209381138294,0.4884820573313143,0.4446793603182654,0.5473066729827243,0.5979360028300251,0.5794683036626459,0.6521135929018658,0.6840264372192635,0.7196415327975162,0.7385059445670697,0.7506153658573624,0.784112508272339,0.6019722984832976,0.5730648046422282,0.5965529928321858,1.0395451991312499,0.737667526069757,0.771269229322787,1.1104998603572303,0.6699543028927762,0.6975896457672672,0.7691410749499977,0.6037415158940337,0.5334631424434458,0.5292009711138095,0.603252944474691,0.5444113701542008,0.47299740571225424,1.1323687263790616,0.8620921133866445,0.679236921723962,1.0675517554680385,0.4440994988329338,0.668146144830498,0.5778197248521028,0.5594870815389283,0.7259623891157753,0.7172213091778391,0.8679807952015716,0.6402095817658847,0.6054559127668262,0.7276486772869921,0.666797559255977,0.507724445653934,0.5627381556439628,0.647832813197423,0.5135718870201259,0.48459350512712207,0.57337619667262,0.8903679851455246,0.572107367424434,0.5383184686663296,0.5246087210505133,0.4851576258326178,0.4673621583743253,0.5724317048510057,0.4654850556499145,0.47593242260044055,0.41779877600287596,0.48346892551976417,0.578648978781322,0.5144697089809578,0.5526645954673626,0.7580938878095955,0.7286355431083604,0.6088989017953902,0.9968750126361317,1.1660156481400712,1.0298566424515059,0.9047522995149088,1.3502488533780916,1.5371068725451216,1.0306753734374106,0.954711091559974,0.7556847537688816,0.6791860081997863,0.9925920381142413,0.8483389280230665,0.9211626808344794,0.8124057863082005,0.4832272845370181,0.3910567314160368,0.32741616770420356,0.3116787792070964,0.3678634732807792,0.4422368638027083,0.48662544355008336,0.8720637148312124,0.7048885222886602,0.5399862014774075,0.9431116382798205,1.2377468252169623,0.6087418103380172,0.9258559908006648,1.1736684976688685,2.36737871882816,2.956246626306431,3.094514373479244],[0.6312720228748372,0.6799310737351771,0.5936634124183059,0.5602245599156684,0.5771502544047833,0.4933527880520662,0.5067159906472322,0.5665209708553453,0.5541630666130362,0.5522302035714046,0.622532317101087,0.6170153883201457,0.5969086860133681,0.5558303915616725,0.5688575462918632,0.5349178635733837,0.5629892573557642,0.5332970151263632,0.6119252506748197,0.5690017421579676,0.6669993661137765,0.700425188134804,0.7652806945557213,1.0183617354631649,0.7686430386536229,0.6636318355274149,0.5595527856382859,0.47884786913895383,0.49446113182790735,0.5168514433477481,0.5179350459246899,0.5295873130017635,0.5395841738707771,0.5306087831184225,0.5215786037320951,0.545473830143559,0.49673658078377203,0.5424002680493724,0.5461535928261073,0.5956211259311381,0.6329177317309577,0.5725065372494758,0.5658536245186795,0.7425669475229736,1.117796894037495,1.4003687204596957,1.6630489432888877,0.9959316120467121,0.8563860180932262,1.032445375481727,0.9208548613065844,0.8469637891113473,0.838319650133064,0.729487444185643,0.9343769419885289,0.7513917617654597,0.7292635707822904,0.7634649662885745,0.6524372701518133,1.271424893553264,0.7606918272227992,0.676096544433502,0.6400167415610383,0.7533699748669916,0.7151566366873897,0.6619867742572741,0.8460646321727162,0.543889311947547,0.6605847651074965,0.6449258813791034,0.7266586676335826,1.023593426621875,0.6496521920721552,0.8534197554240377,0.621670463474255,1.0251311238678122,0.5597494199248503,0.5631129455030608,0.614124882886842,0.6957736786247481,0.5594339866682003,0.6323668215071747,0.6634844093653831,0.7316999676231332,0.6700147567092546,0.5616157151523795,0.5806962094194617,0.6745796594984441,0.5547279151032871,0.5501401741683081,0.5594395198257501,0.7543685193214368,0.7170999480154089,0.5783438237525359,0.5614418495560732,0.6192154323137928,0.7336053422257909,0.6155961842299117,0.5981603621321133,0.5752568907673138,0.560542236143805,0.6498337945271034,0.6295448075083063,0.6590075420515605,0.7919811380008664,0.6627766181980383,0.7458295978657015,0.7008943073044404,0.5637991071779995,0.6647030374544208,0.4996434843700384,0.5498007258943303,0.5128098476598066,0.5285193721735446,0.533555990214708,0.5230465908733762,0.46981229267084834,0.40064684919273497,0.5593622498161778,0.4651410204313188,0.5584907843052355,0.571555991422664,0.5228749096625882,0.49991398064618897,0.47101998343593277,0.6018577735798295,0.5510470131610903,0.5662575578572843,0.5517520039674713,0.6185616942221273,0.5774642472472047,0.5963100862530302,0.6298398487024655,0.58756570722499,0.5996736544688112,0.5331199497663166,0.5876257593377868,0.5294470590731273,0.5140275238244058,0.6473620705086934,0.36905847548109194,0.7626591293257898,0.5135155459663685,0.5372223687230749,0.5946151538080747,0.5497128441916671,0.5561681151435112,0.5177847131442685,0.550789112278854,0.5448821580531271,0.5612369909522535,0.5406198173033603,0.6099286813886061,0.9891149100218358,0.8827031147915704,0.5614759583561146,0.5578431436112629,0.5893865906410537,0.5531311129456058,0.5556405089677074,0.6298739166561225,0.5770719501597691,0.5718332194023755,0.6378028347806057,0.6894916565366035,0.7478335494473859,0.6373829277167886,0.6892719509637572,0.6608594778250967,0.6381386229343006,0.6146734116354715,0.6019166236902747,0.6058606140351726,0.6081412182444851,0.5826906714651422,0.5817125934750608,0.6077509888186011,0.6031712517621001,0.5882796317573613,0.5874466081602678,0.6379447361227505,0.5752542270590849,0.6165341677021657,0.692880644377933,0.6624553701479993,0.6803678957557738,0.7656616760866167,0.7479146730808757,0.9791123770365104,0.8368795424951346,0.9792544573732513,0.8554454270611128,0.7502450725192387,0.7623281561094479,0.7024564833966519,0.7475332846305012,0.7329272575490717,0.6795017891405778,0.6057229258118302,0.598559805877057,0.5506108646766598,0.520251798290438,0.4895237744263787,0.5369427456174244,0.5149576168842377,0.5267373841001481,0.5952228678579882,0.6207733674708749,0.5406069857268234,0.6254174455569982,0.6902226080542877,0.6659977828883176,0.7170745834995722,0.7427495430495993,0.8050354902397507,0.8419570518430189,0.8487896767407092,0.902778521889264,0.7381763015221126,0.6986485018618608,0.7543460674827376,1.1434683980938196,0.9057632179653232,0.795215175526363,1.1987667465909135,0.8072443721417683,0.7880145110151702,0.8701038553289123,0.7643377876267541,0.7253765161099647,0.6964025326946297,0.7831935560115545,0.7232177999267515,0.687366475790444,1.2944088706623158,1.0021632625735744,0.8007379648618177,1.1194963614974711,0.6452388608075179,0.8315162734379419,0.7465956453174651,0.6892167482076427,0.7923707478883046,0.7932012901915069,0.9245258464058812,0.7137531338879428,0.6778815222592636,0.7600019418872344,0.678739271677613,0.5582449052122722,0.5929970893043792,0.6680926933178193,0.553575315070468,0.5299860191937038,0.5958658734464506,0.892620744365764,0.6384257408791867,0.6097373808187677,0.6232583450566731,0.5899391163315677,0.575733071067156,0.7088766315292554,0.6107737073624826,0.614679414800405,0.5724739834331777,0.6598916590724314,0.7398152002465093,0.6969760056143499,0.7377606621135596,0.9020682591268737,0.8679433215520478,0.7801678601481451,1.1758939008092384,1.3293422574135658,1.1696661505907024,1.0433066719263409,1.5003865298986359,1.6807035712841694,1.1518224492794,1.0560725338962433,0.8624960386252134,0.7702338084121688,1.0630186085525688,0.9557557382154506,1.0423389189197108,0.9322900983819836,0.6599544574488696,0.5716535976877644,0.5269401752059594,0.48854919389272344,0.506481127773421,0.489150128145907,0.49187248020204416,0.8246155760074944,0.6190249839748262,0.5317400979564426,0.8636771727973265,1.0930043156861644,0.5839919552400216,0.905320443242358,1.1443353860171046,2.426459190191316,3.1079336393954815,3.243803499388483],[0.573190896317517,0.5771162369765606,0.5180986489369894,0.46771154288344313,0.4262248895921725,0.5467489449341115,0.542367951951677,0.6138619543142572,0.7030334654334628,0.7080181061725286,0.8057843894918763,0.7650464526387244,0.6703878057287053,0.7398617533978301,0.6880661089261175,0.588373873121144,0.555711817178106,0.49618023597670563,0.5646455108909684,0.4886379225277697,0.5929349546680361,0.6373899572076336,0.7181125919693357,1.0967608722501405,0.7254643049146031,0.6481907580326609,0.5304912904057703,0.41055744419362356,0.42292388247793283,0.4920536890404093,0.5413069308418235,0.5228298673701653,0.5399108937163858,0.558953071877518,0.4854666220377529,0.4957347215107474,0.4576375047344667,0.46501883825079465,0.4847234301730757,0.541452828050563,0.6375211048388129,0.5761926836753624,0.5927777137826822,0.8426234380441127,1.2068299259237023,1.4562581500243088,1.69101181757385,1.1282315959466358,0.9381122460652724,1.1478733948190922,0.9697326209233781,0.8791000885380809,0.8599957582176476,0.6628896371601343,0.819013998828461,0.7077265520806402,0.6930706756473349,0.779772854359736,0.6521101665805397,1.2325478569067594,0.7249661764899702,0.6187115039668706,0.5648703593197613,0.6770328885835163,0.6206037334792672,0.6033941685427243,0.7887448827045056,0.49333539172080143,0.6226880445800728,0.6804628677265748,0.7394892491986916,1.0336646472333553,0.6671290219923179,0.8684662008170002,0.5655136523928536,1.1197214109566795,0.4906614639142762,0.5107773018422397,0.4917145273335611,0.6041367091756157,0.5034468544627978,0.5624305124446377,0.6221964056350842,0.5453616168513887,0.5738069827177956,0.45617294870586983,0.4898485667819682,0.6353334115354411,0.49534290324989216,0.5180116235216948,0.5352886888531523,0.8087763414109533,0.7864596276309728,0.6188834357563964,0.6148610203793002,0.7317383469725343,0.897587632189205,0.6841834772504565,0.6617326155283875,0.6314229814223551,0.5357180964467345,0.543258790113347,0.5438583138537308,0.5162699813003473,0.582569784615263,0.535253510286915,0.6013651239970655,0.5231378290955195,0.4313610041128218,0.5950142290778674,0.41498656369573106,0.401433713668995,0.48521773704999105,0.43175434527870077,0.5436889162050289,0.469631360436537,0.4510893273331186,0.31907992875368707,0.6382200722588064,0.46320236187878083,0.6922128051223428,0.7710896426490124,0.6882114905594197,0.5832351757217226,0.5587681338798096,0.48475027342524174,0.4421678736083708,0.39046484511691176,0.3886920385988119,0.43809942282898423,0.38141333580213105,0.3884370314598464,0.4268869840311332,0.3988864045408378,0.4027217357288171,0.3454678359681633,0.46362830259662485,0.3710963289531146,0.35493104261826175,0.4423612109433781,0.44205059937058183,1.0339104467299023,0.6978341792943786,0.43107310291472906,0.4758835960738034,0.4366377058761037,0.3865483349064784,0.42552058045850377,0.4268290607859284,0.5090957410059453,0.48564626235556524,0.5998992452935705,0.6133084873414706,1.0269280274569532,0.93311917551503,0.6143750600697608,0.579742330210374,0.5179093443162797,0.4747411382943466,0.4243673104854366,0.4478446684153174,0.4125302831241077,0.4015376157767573,0.5142651431620233,0.5644168833038277,0.6199344774809639,0.5439865023068869,0.6577597611698355,0.5724480397383443,0.5541066921532726,0.47123161057882723,0.43694142489004206,0.44342465399967806,0.4421196362415845,0.42162829377582495,0.4281567332670991,0.5053384188160414,0.5229993147850738,0.48069328242965637,0.450977672899724,0.49925560025875887,0.39877156564214566,0.4640973005651938,0.545725451760521,0.517227568263498,0.5938710777430645,0.6947107116481157,0.7250546508671081,1.0609982179697812,0.8131207812748108,0.9197309049292509,0.7962891490399211,0.6761117312910959,0.6557558747260913,0.5821680296129014,0.5864910924601235,0.5495104448160274,0.5015539510588904,0.4414662299455454,0.5140188143047016,0.4069651026724925,0.44404187119125066,0.40587965733113285,0.4073254007211561,0.40374718241386,0.46683273011893367,0.4783568530602567,0.4752946476113789,0.47118370911031393,0.524575060409453,0.5699207913202623,0.5593815925606926,0.6444229894574788,0.6300902122806386,0.6645662510988468,0.7321705963369193,0.7007369276831449,0.7570562345311865,0.5756648587959334,0.5411176769395867,0.578980230196749,1.0147299022794005,0.7608128618193466,0.8336757192890111,1.1037630379814716,0.6957701538963625,0.7160605219005549,0.8357372553974775,0.6126069882137497,0.5497983890185582,0.5790789105297469,0.6442292668336168,0.5484541591156864,0.5141739606168597,1.188762115597534,0.8590910488633708,0.6979832737906786,1.032293706444129,0.49206306331382926,0.7043937606534579,0.6585392269201678,0.6094582457154293,0.800408957773556,0.8496655436583254,0.9739212887002505,0.7121376458647236,0.6846756054035169,0.855437638006351,0.7268617876697318,0.5737169386553054,0.6710067932948223,0.7513730875524294,0.580014448041685,0.5463708491477465,0.6598389398482377,0.8676806474004084,0.5971885621101056,0.5648013331175102,0.5191461453673955,0.5033099135719092,0.49790876402651413,0.5763449426400369,0.46377122282178745,0.46422115135588243,0.4498700045323749,0.4908585677081022,0.5740390346266484,0.5282144354630796,0.5690478217167322,0.7522523883181069,0.7268888963509722,0.6527382271264393,1.0121223969955302,1.1722410437808943,1.029010012658325,0.8981746291775707,1.3598606800042894,1.5482481609212226,1.0389226847030963,0.9562265490497373,0.734801918550558,0.6650521453127456,0.9882407371112366,0.8328157114816639,0.9162059448462216,0.8189918280408546,0.5039325353480918,0.41641143142415865,0.3665589446969537,0.33544124937450986,0.39167645001581713,0.4675151948690012,0.5568338074827771,0.9573117321034709,0.6404440817238632,0.5372515161957337,1.0337617732349176,1.175395708189827,0.599042247495207,1.0361683771905523,1.4113195246959578,2.8139682878453742,3.643215431849772,3.6903974313233627],[0.6460797568007307,0.6625812897171407,0.5956789900917199,0.5485358684772348,0.46650903276887534,0.595353088103637,0.5179789592893796,0.48253173613891576,0.5590185554515518,0.49983383743162296,0.5758342315964233,0.5381848869299054,0.4037868539400394,0.4614433379520524,0.5505276260884322,0.40072739997142903,0.4036889370733098,0.4719827894720209,0.6540309753960187,0.5915551851770618,0.6945946606443509,0.7599453505295719,0.875513731552573,1.2254418282149226,0.8397732049268241,0.7890975434053099,0.6846584990885591,0.5712797517635687,0.510827112706133,0.4398496903957783,0.4528467342031651,0.4351586486552335,0.4800508896804918,0.4951675704284114,0.45938875389089545,0.5028674435324505,0.4936239703689945,0.63700386406846,0.6568682155060491,0.720063117840719,0.825176003019848,0.8157738671300855,0.8099371158944293,1.0325538689752072,1.3310425197433609,1.541350155502886,1.7431823456737345,1.2636302857093609,1.0567618186291066,1.2305979756935974,1.06254060084873,1.0013629197588823,0.9890202422685284,0.8436729363124996,0.9636413229051195,0.8254134630550283,0.8183460441643007,0.9146059853628934,0.8059329376475505,1.2535307726328349,0.7808346753750136,0.7255221695440666,0.6477531902391661,0.7909496501907869,0.7298818135466724,0.7245346571043829,0.8698004426257764,0.5478885552532706,0.7079787334910073,0.6019214635612657,0.6564780439240735,0.937476565462385,0.6333904305148722,0.9593763938469111,0.5292194002565217,1.1677614308753004,0.542864347694844,0.5442504985599744,0.5541740378317,0.6712781093713042,0.6085618567292131,0.7361240158249418,0.6615223787738478,0.6126759326253239,0.6630935760112351,0.583623188546831,0.6294284212660115,0.7079724653852023,0.5649432473393274,0.5635807964637943,0.5502096526419518,0.8261266249538809,0.7341380814046388,0.5542650981871101,0.49992650474630745,0.6181436651028247,0.7120919337047301,0.5220131193763105,0.4710855841093751,0.4880371672937684,0.4576899878439129,0.5117684361500265,0.47549661622498995,0.45932779573321225,0.6948030726318218,0.5385166213495335,0.5525872032240566,0.5162348822314886,0.5116830173946312,0.6904286931244467,0.4868818875700945,0.4371232677231088,0.4414644043974694,0.39460808204942294,0.33374309806149666,0.3285220755891837,0.4453985061367671,0.6528413924274254,0.9250079113069457,0.40162876745387227,0.3601378664903017,0.3847447234342876,0.3110739198123693,0.38358068781014776,0.4333614688844344,0.4361291859658022,0.42639582129686493,0.42024339248164605,0.48413966366620437,0.5753253793086903,0.4606915965156467,0.4664147910740767,0.47496604225561184,0.4981671174417529,0.47421092941348253,0.4491073110636512,0.5446304068142667,0.5115603133206321,0.5055221536744757,0.5445806181957717,0.4929599956257222,1.0848705466411643,0.9497661493652123,0.6809502369258258,0.6660255837398411,0.581639464968451,0.479699274438811,0.41870730067401296,0.3831755511255453,0.38997561510376366,0.45035360121232565,0.46265235641833785,0.5702830260732931,1.0370329826457245,0.8682200872354953,0.47453804098219177,0.42853495355177146,0.4275902319459033,0.39535957924389775,0.44529922743848793,0.5469987928144446,0.5095875871031883,0.5338523039084413,0.6145284127980208,0.6470644141657713,0.6793852168369416,0.5964793960376849,0.6692785413651995,0.5980306445082741,0.5851755097026715,0.5341735972075937,0.5428150437110955,0.5515706834777271,0.5235850833989331,0.5082242327874608,0.5129123303142775,0.5252086969413402,0.597902989842274,0.5669362254154342,0.5406299392900813,0.5843685287973016,0.5094539126695355,0.5649851039199753,0.6351805454853447,0.6003850094873416,0.6928634780249655,0.80135526778902,0.8149708663320706,1.1291273355679976,0.8569376103310302,0.9429716850809868,0.8243544996432377,0.6844933508011819,0.6710346603784394,0.605144914828975,0.6157717648404095,0.6086608703815041,0.55446048913582,0.5029712164733636,0.5298127064288741,0.4730903274066372,0.5484049138571173,0.5044440129745483,0.508063634225266,0.5232764201163725,0.5858136526819434,0.5462251083089072,0.5618250319155776,0.5584050580092004,0.5970825961549459,0.6309771721263565,0.6334972425561859,0.7138213869002491,0.7050289074227957,0.7309394816197013,0.7951308333785033,0.8136172142617512,0.8164989179961196,0.6589739301988015,0.6157007114541599,0.5985582590351802,1.0077675890120943,0.7311482472972106,1.0638474513168064,1.2252581265627682,0.758226114580319,0.7722088783963034,0.8752915287892754,0.6027555172076922,0.5150277631794704,0.6678599134996559,0.7035182839076535,0.6064153953871756,0.553006857391685,1.150517003930983,0.8205818806396401,0.7091197651499818,1.006088770307296,0.5318879028732498,0.7381308036778191,0.7269437021652997,0.7130524689480372,0.939029914825563,0.9770726691624796,1.0876387466220547,0.8361020607587202,0.7883621036473608,0.971040849801643,0.8730848059090542,0.6997957572144623,0.783749174240985,0.8315494857923543,0.6730844275203355,0.64872661847013,0.7553310962895486,0.9529831468626103,0.6897972532893377,0.6635720970126053,0.6042301769194265,0.597185297343624,0.5960007663848538,0.6764302604347797,0.5464739178349292,0.5534466291648727,0.5457031980666163,0.5412457810834226,0.6121852033959577,0.5692022975411983,0.5776470445299086,0.7629902662856963,0.7237907582266326,0.6640654003884704,0.9425808042989964,1.0996787843828917,0.9833000956938929,0.8777023086109093,1.277534216654321,1.506293859462778,1.0505958125781172,0.9771730334017787,0.7969797818541353,0.7299446270623526,1.0327626067951106,0.8531880588033642,0.9026400204984923,0.8245105497215025,0.5513754774166505,0.5053976493480435,0.4354332331598741,0.42923945683857645,0.4729235732690375,0.619308415563069,0.7791163900652108,1.1432193029731577,0.8656682934589146,0.7576819913901706,1.3199972047646016,1.4301636716777049,0.7743143122529712,1.262065130743149,1.6589048012252017,3.1216600757064805,3.948164891477788,3.9074046699688867],[1.3383861879949503,1.2949925387690109,1.1650830087862438,1.1685499835448934,0.9198644476409579,1.1723322914533385,1.0997022441542872,1.1183158353170335,1.2720519812787638,1.2125082119413986,1.299240362685794,1.2468609975101534,1.0976740668553582,1.2376275711050717,1.2616284759082101,1.1542342708626792,1.113723534502968,1.136081444768479,1.2378138150022029,1.1964202536198782,1.3517598968747657,1.3401297050754732,1.4358192333662103,1.7092830355872946,1.3401027718617287,1.327469638575451,1.1709915082421176,1.0304384405249434,1.0558745222131425,1.0555521817406346,1.1987370032276399,1.1415011535788562,1.2048836530610556,1.1886302857901665,1.1640615298679224,1.167874043556121,1.0461229139820212,1.1130191415726396,1.0511765417446162,1.0987602321576944,1.2290903573468983,1.32665539623786,1.3390600781573456,1.5226503653584171,1.832198355598044,1.9762564938781781,2.204155615738787,1.7163289100331627,1.4426684563737076,1.5443816189135748,1.4482883330983314,1.4036981891978302,1.3949576427629762,1.2887665019801542,1.3239312547855349,1.3295661607653064,1.3705846037736267,1.360559643930337,1.313408730138575,1.757910469013206,1.3450752151831844,1.3489167513049651,1.3229412398757634,1.4687383397992164,1.4325567440567712,1.3349505081684603,1.4441958002271698,1.2455186275741652,1.3741562017913744,1.3035660368114845,1.2739286791230555,1.322990463363404,1.3018876205504497,1.6071892200052158,1.2611399524705087,1.6320333595091752,1.265745358516034,1.2707523674327532,1.2365067060126016,1.205734109384406,1.1148478866327707,1.1240868684575565,1.049992748063209,0.9816914164396233,0.9602673840736795,0.9928248714064348,1.1047002089459859,1.188148775468966,1.177923927657571,1.1964840046755674,1.2361365680674434,1.4682929694384617,1.372941432109954,1.2693718226260928,1.225570143365701,1.3705538517910603,1.3813240463794503,1.2474244071478604,1.2660156229613642,1.2818720148678697,1.12947544617091,1.0593916577455786,1.0004731086013314,0.8755841119339577,0.9296650371504513,0.7969191255101669,0.7828549108191124,0.640035483059766,0.6980074328511653,0.9826293383087996,0.8350424947332644,0.7410651722082913,0.8747088118492696,0.6912170414352414,0.8251086850257746,0.6087922603239639,0.8553507379669462,0.8829803202733953,1.5110847071418008,1.1070839178237963,1.0614007876813005,1.051035991564062,0.7134046061956189,0.8239320716557647,0.9655335714537233,0.696336791796352,0.853328886290219,0.6271098123667789,0.6565805879808624,0.6841478806212166,0.5363006541399584,0.5223874968603673,0.5319894142490087,0.5693527163082428,0.5289193607669853,0.497615746272204,0.616815075079882,0.5471410662416649,0.5715938032944294,0.616793143252417,0.9446981603405147,1.3248398638353212,1.1991094361732841,0.9125393152490698,1.0355572342482608,0.9078265911009006,0.7496793112267877,0.8150728221298038,0.7906571352715551,0.9469771998948756,0.9854323259957828,1.1537470666354495,1.1738135935256344,1.4620778552799885,1.484982681674145,1.184666104967995,1.1263980248132874,1.0200340435781883,1.0044641544539974,0.7988923109495425,0.7291535390262306,0.7999184473420168,0.6975951941912857,0.8463781012791345,0.8490112081105552,0.9077919389605759,0.7967927530519274,0.9521240466390171,0.7902059466646479,0.775552796900211,0.653033137339212,0.6130043321794164,0.6587121055282072,0.6744341989255068,0.7554566036298326,0.8327247439999056,0.9480054014426273,0.9708229893583034,0.8990414640493818,0.8082179327570632,0.7710441198941901,0.6594534068460771,0.6617105060241077,0.7612495846926779,0.7682665913043736,0.9248593250219279,1.0523620751281275,1.1571236020112659,1.444350758860119,1.1616372168676996,1.2417632794497342,1.0647926251416482,0.9193015905881327,0.8118365087291539,0.6885840690276257,0.6525034345138125,0.6763523271479773,0.6165535254250789,0.6364316462783087,0.7274781118666385,0.7179561962131551,0.8402966986715069,0.8142831256179042,0.8113561774959229,0.8916314992181442,1.0207132181508396,0.9712430855645622,0.9739278540523819,1.0645419219258654,1.1327712759772883,1.136786057054976,1.1616685020310005,1.3049463577337554,1.249250093384828,1.2216148991898093,1.2153899508621884,1.1933386257700016,1.1471361788302203,1.027249603179863,1.0079260693154184,0.9366266394858919,1.2642971468269186,1.0678335119750297,1.3699101169357992,1.236299034451413,0.9000409667355479,0.9709096652388096,0.9648953513341225,0.8073609585711204,0.7049631758189351,0.7472393847297598,0.7836112212046186,0.7774309262833982,0.6878476660172278,1.1842784796202088,0.9926867919365474,0.9026141396836056,1.1165298534240842,0.6670212461747949,0.7811526685260404,0.7693069392832581,0.8629266511795846,1.091892674709485,1.2542337265254915,1.3202828016486154,1.0724504572199616,1.1393982838559742,1.4216778203187415,1.297617468732563,1.1466762716856866,1.3498899242833118,1.4546500966196196,1.2374810928951814,1.2039635080936009,1.3684475584116642,1.4837663845908113,1.2580005756971624,1.232369326004076,1.1014120278355641,1.040263806980428,1.00180861279068,0.9370951746236293,0.9495986700157067,0.9274457231143182,0.8622922093130136,0.853217514972346,0.9115369806094981,0.8211553442194958,0.8197836504495419,0.9917044582950852,0.9771059717408076,0.882532530602853,1.1652958435428555,1.3048035120059007,1.2010100955030587,1.1693392990480338,1.5058891273475525,1.7017772649740135,1.4078150486215109,1.3313742507574193,1.1274478831055834,1.1397827658806963,1.325325922211394,1.1565433049353309,1.1498028063971961,1.040855924263938,0.8372674783483206,0.798602643395127,0.6677927007891653,0.73477044869019,0.9050884402012535,1.0454629001356563,1.2579157291502947,1.5075998626423317,1.3260245899254888,1.3211014769722682,1.8742932288780343,1.8968426992275416,1.443924420391016,1.8924270784417898,2.3078587789056764,3.7382705761942208,4.558408256683573,4.421566510306853],[1.694358583599954,1.6295922645817453,1.4209645239800586,1.4649769240043724,1.1603043474043282,1.4823401421787972,1.549634863076556,1.8219315107585214,2.0026141338309693,2.1568941862776585,2.456923702428431,2.4770013536150723,2.482236644877048,2.5540781234007865,2.869988554440497,2.8023963974659805,2.7231947656537976,2.8988737537445797,2.877808160023063,2.8033748683027873,2.7754043665306796,2.6779443817200326,2.7183388386095535,2.5741186844894575,2.5217196838503524,2.6043027150253035,2.482152267659482,2.458275887358179,2.670861470394263,2.6934507135894976,2.9796608367121435,2.8345658447196858,2.9152894484437804,2.965423492990968,2.8854492209927383,2.8674953637998555,2.7090500353354434,2.6149952961564895,2.3657396413486027,2.3521054898404237,2.209063370910083,2.5049468488596434,2.4968574161956516,2.3964598493762486,2.3904669303209642,2.346153524650511,2.532785969379058,2.392905093376535,2.1261541448531283,2.133788762221907,2.164414872473745,2.2499200307678913,2.395400674620867,2.236095754689864,2.3740131051549134,2.5115290809836286,2.465688415442003,2.6272511240338785,2.694387252947907,2.7138752602428817,2.7108043621364066,2.830802951029151,2.901643845721812,2.853776421195035,2.7265442329000944,2.851746463611409,3.005400043727885,2.956166142089559,2.917262678780399,3.012624172318684,2.9132464148872086,2.607152252615186,2.8735100700183187,2.9662991414508353,3.0426357117875966,3.4520261701715858,2.9095433789490324,2.9417480544057915,2.884492264506984,2.816312973196706,2.741583947515052,2.591028752599674,2.4440267599396326,2.2794157260570476,2.185461323190805,2.4237619861948048,2.610688553615936,2.823461822352637,2.86544048091213,2.9536099862652785,2.9641132792831884,3.1412516692738652,3.0874665966034907,3.0089070432655154,2.9842459218938706,2.9993015790762922,2.9315325128144654,2.87697337823072,2.6961165168873644,2.592294610003603,2.6383232069876996,2.3690948353550865,2.4060068232138057,2.073962843891903,1.969606590465691,1.7502172518810608,1.6090937108542458,1.3032953321565808,1.2575833815420787,1.6010481941294081,1.4299218431856322,1.5023991530088705,1.6284613893585083,1.4741112321203673,1.9169574547255848,1.5537485696269708,2.1417836693839383,1.6765092048104542,2.6829410872356627,2.7978925785811066,2.709041118499607,2.454197345430296,1.4658296388630048,1.439778623104149,1.4758308457422835,1.0878083984967797,1.2839479017705027,1.108622286644593,1.1191715292060398,1.3368600290414705,0.9288565206414792,1.0160361481187328,1.0119224010058088,1.298056543475973,1.0684986387588795,1.0938822633421206,0.8656808949610728,0.9007664001353172,0.8624620391680258,1.092060980910048,1.2320403374374709,1.8035779477101002,1.9966023096081245,1.6901357016236043,1.9398555738034335,2.1419204056409917,1.8952746930973219,2.0939399873563826,1.9119139362686852,1.9692964121519583,1.9008017708819167,2.1090283764477276,2.182574216508309,2.15356587317263,2.4661536812323437,2.3917582057538938,2.388575732475894,2.182226357750201,2.3300902628458133,1.924479672461736,1.7212139490714753,2.112087785499159,1.6382248467730116,1.9085779347995109,1.538105879218192,1.1538453390217753,1.146459983608314,1.1549623753349636,1.0115061733353834,0.9648961340037718,0.9582799968851847,1.0629434871509833,1.39830618861043,1.6426323042971616,1.9473700362286157,2.0990476576301864,2.336103796774997,2.3642282475684477,2.2215934720825343,2.07331900911171,1.7968591396873863,1.646815881032453,1.4826624922959646,1.4756034059365442,1.4450338958339142,1.7596345723464264,2.047851414314359,1.8788053998961887,1.9361577591882355,1.6928506981859113,1.607985326795737,1.4832641186841569,1.2517277315389659,1.1277850029205252,1.0595296762068285,1.0026954048327663,0.9093699329547217,0.9050646190633022,0.8785634083526537,1.0146120958433693,0.9914954870999743,1.2184366208687067,1.142571100580916,1.043970729699069,1.1610812652548654,1.292927719290481,1.187599918764551,1.210780316556339,1.3169576615862815,1.3747885147534704,1.3977367574531858,1.421680001709551,1.5446004083044258,1.579793173387993,1.6437476937003777,1.6282020846470882,1.5811758738782369,1.5431672653920414,1.3158606370969321,1.295520569383905,1.2026372926004383,1.4438562293792923,1.20352197933011,1.6014625411116923,1.511627335098522,1.1738550959601772,1.2506119216105567,1.3158567287780945,0.9732758191419723,0.9062125295121412,1.1279655588476565,1.0638297383266657,0.9417191189163793,0.8825540197079621,1.212108395214716,0.9888544413290115,1.0047962519488038,1.079339462187704,0.8758171532461,1.1140518940600108,1.1873873916641602,1.2601187521909594,1.565152219730066,1.6976056500458552,1.8435813340333291,1.5362840933795516,1.5485168389265855,1.9297010062240711,1.7733054960985113,1.4799600915725108,1.7094191361677464,1.8294718189724084,1.5283503995678978,1.4853310753838878,1.6669789267808315,1.747872195581576,1.519491410048147,1.4903365694687234,1.3469988459457274,1.3071592313456175,1.2790656264917122,1.2366486034656747,1.1986205217080717,1.188819699714971,1.1042800061260454,1.0883044764463992,1.1728931892660606,1.057294545645433,1.011032806195227,1.2955238003261818,1.2834989959983727,1.0745461600684225,1.3470669492695095,1.6542262124913185,1.57344405251357,1.5689876232632938,1.9856966596683177,2.081010773754486,1.8088819910845229,1.7851791736889668,1.4805307675822093,1.4834296615395182,1.8308710007319489,1.5896494137644646,1.637177413379286,1.4426292046536588,1.0764475764826644,1.020557143225007,0.8994851019080683,1.0204438310516792,1.1698806763197382,1.4847669745958507,1.6778141583313837,1.994523390316704,1.7106356347866196,1.6283246184579219,2.2454068658247803,2.2573377768513523,1.7460912328520344,2.079882824576304,2.5702553980782596,4.064979486644307,4.9249351258994,4.794543267226718]]},{"name":"Protease-ligand interaction","means":[[10.432967262801071,13.629516837059908,18.35287643797705,18.333418249171327,23.8695115660637,19.699195884279995,23.27723287472348,25.023423976689863,23.99294068917197,27.752853853000993,29.032527372190643,29.937926868059744,32.71603251928217,31.51128184180978,35.57837901403302,37.26924849239899,37.51147200570848,41.96054204829786,45.34059301885299,47.540788548425915,51.12784072910517,54.90171627419367,56.12168133647558,55.83550325332918,52.559497383813486,48.726013895297044,46.43886197759624,42.220840238718104,41.95594160521788,40.37164201107112,42.63369386283853,41.15436125801947,43.50804716624642,48.01289013256373,46.62160622421795,46.13929781434385,44.62274330395862,46.95091372913354,47.11919454438871,52.6596200581592,51.064555279644324,51.98488285640359,56.09938581937077,56.493964707415685,58.94275121874056,58.13504327325157,62.25243244488602,60.83928092810499,56.10520268171031,60.42942104584912,62.091567416600064,59.1798269876996,62.6407256333279,57.17101434500288,61.78259529117132,64.60976529482197,60.90346826396415,59.27621964261869,64.14588834652366,64.74038959229763,60.441474197787734,60.7819133483562,58.066328479307295,60.526274387753574,58.990538505744006,54.74707590189654,51.98114312942313,48.45032646224666,46.178182722466524,42.882216751303694,42.61064976056293,44.55436831516087,45.81430074202405,50.08101548545642,48.55769928353623,54.342196759011905,53.874193007700086,55.59961089206264,54.96011335277928,56.85216556555394,54.310046691827516,54.54131709692044,50.60424959383564,51.721809671644436,50.03761866287892,48.42645638717597,50.75116342346438,49.86868930522007,50.41865343632843,51.92929628681518,49.84782321805675,52.17863356176974,48.192614567964135,45.33305783170589,40.92264639066691,40.149415041354786,36.21413569270795,38.21232532279441,35.17659204736436,34.34380077433052,38.6597780864169,36.81004726057384,40.68815851499565,38.093184397464135,42.20611854395517,37.33531943976462,38.8306088873525,38.711017150253994,34.337749214900995,33.781803287671764,29.695351304136203,32.19069311780057,29.042662801948428,31.75469442065543,32.39373136220601,33.90925169886106,37.45252875129257,38.90023607915535,42.77545875866261,40.04875668728936,37.353482473102396,34.07589482327051,32.810948414056256,30.33301576594,27.29756109895496,29.829865221245488,26.725289404200492,30.997819764748904,32.68026013332375,37.15072912258129,37.00424156277659,40.46453185589696,42.743548609872946,42.87931328192964,40.447539215215144,36.9762859962655,35.13142838446707,35.37485785843566,35.235765988043134,37.984687988218276,41.31130517962277,45.33705847477848,43.47844543122078,40.89864284056571,43.82621162861554,41.24767969511767,38.24236785050591,36.120416697905135,34.651133620603595,30.692119365388862,30.189566137300396,27.7394415328851,30.228219089318625,26.8521375090769,29.780507120447925,32.46183371637487,32.69315084866938,33.56755778296963,36.09593521145451,36.27666469810792,38.26403646146574,41.58998242801598,41.027702422800076,45.23970084215315,45.965666403469406,44.20819510313611,45.72441942544412,47.6895002692276,44.188447601852765,41.55253422995167,41.16374590987939,39.935326899739344,42.92690841377095,43.135641492634264,43.749352138134164,43.37336542740266,42.06018492027509,46.31944343224018,47.37712327218643,47.31884521541859,47.24689774509569,42.32197805675164,46.96597569773565,49.94795567056049,48.154806093218596,52.41409087516183,52.20496608763374,56.392212513129316,55.87607833577157,55.37135134085403,54.93715373220804,51.50753419453161,49.631025382277464,46.79123051521817,46.309002122340395,45.56519709178289,40.67890843795697,40.34827888574606,36.65672563682463,34.66502604649272,34.9153593884366,32.52801245676572,30.301151353661712,30.216422961387437,30.21757584814573,26.164766006975523,25.072876570140767,26.46141963163014,25.42204673601202,20.642383849450635,21.078458201630585,21.437050656629193,17.90082630840075,16.2368496830362,18.706041474147682,21.107079313816996,23.152897804330102,27.464373806041724,27.78886789919502,28.74368218895749,34.19009800710028,35.60847098753962,38.92015371292723,38.707559434439005,39.85966117156178,42.30198866106916,40.578164766662745,45.42893943487044,44.016819153993715,39.73251797113271,43.2580343787152,46.830840462151656,43.441371402109084,42.1461526483952,45.92423948505051,45.830520108258874,41.403753120399415,42.340772365479665,37.859382515577316,40.01249621217791,41.69976072760148,38.75374442195059,40.25718872342318,40.419678733822124,38.91713404003249,36.27120214669623,35.06656357015617,34.76586264101026,31.847134030504584,29.840598932270893,29.17157215090764,26.60221991267805,24.554713287418622,27.508929000725676,25.77718235740196,21.156443721432204,23.293957463226203,26.608451428168884,27.592477291927192,31.41928783159426,32.57892556034241,36.307873726237986,33.3886158091327,29.952992544909247,35.0191372390705,35.64962813328393,32.506717399162795,33.70683853003833,38.94180264686734,37.00380215904768,33.33334876883746,37.22970860268294,40.75036973135699,38.07766394462403,35.44484166196801,31.242416240193112,34.75713185618759,31.071237822789044,28.930147666705125,25.239992215696578,24.79703803060609,20.763746365486902,22.483290264126676,25.554362907698888,29.122221883662178,30.640756895288284,30.528091206434592,28.62867153459258,31.704361952039942,28.874645422268987,25.157797467711134,27.204004977831634,26.16927034966262,26.585763774070944,23.76622637677948,20.800752186292883,20.606310070777866,21.4408427809604,16.890103534886684,15.643424409947393,16.650445924235285,18.314368901156172,20.099125194108943,21.758241803302234,40.44140679045072,37.063106699233806,32.46653648137237,30.406155043254603,25.683377951135025,28.790142649961407,25.331346438318665,26.6872566752126,27.802201919957003,24.477682116164182,26.701322749712734,28.30577916312882,22.576042358153313,23.789731233897147,24.9468598749181,23.054195832892706,18.97107900372436,19.195779553279298,17.463127098189656,15.942480671322402,17.124375203561854,16.768724546991525,18.071670474564385,16.25981874532517,12.911684687797964,13.090162442366484,11.227128889248213,12.932294637557545,16.251460119016034,19.114497749253495,24.423647931063037,24.291866442248214,28.402791306274874,28.31796450110387,24.118518074155872,20.431931277728104,19.816603826605135,14.575521832255383,11.100126030556705,13.137223573861899,8.235432181128035,12.362981591127278,14.791774256066072,12.129187080780468,12.933796464566859,10.359239793262013,14.103651080997157,14.137738374909272,8.780517226875586,12.293078146705087,15.5833058573771,14.834322977816331,18.636304500494695,14.728746252808522,20.793532844713077,22.280344321879436,18.659453713755703,20.346733458088572,24.58021949442438,23.205918059071408,20.688012716254526,24.894508131077473,25.619158925758907,26.45857233374397,22.311571765390617,20.337377908648538,21.31548388807543,21.557011274317933,22.093552592892237,24.234753374715464,24.404531781125417,27.993853580550784,27.604555755077413,26.433016879487475,25.75251753956351,29.478594487351597,25.07329994613677,28.77936889510512,25.32742197127493,23.069150209220926,22.49336185391401,19.314905705008762,20.331656093346215,18.02976887701741,13.759280274914879,15.775903254768616,16.78283560771665,21.373584119511694,20.837643504213258,26.963289218760334,26.54813448554692,30.7977302116994,30.291710415780475,30.47921521909738,28.040774675735953,31.457806254773807,29.44158061577642,29.07364060529109,28.60165554330991,32.15365245565952,27.112503610204328,27.580978744829434,23.311153588630063,23.663901836138145,20.949910758799895,21.10208393885786,23.961249235921443,22.475977012190647,23.503197149053168,23.884640170722385,23.710627035970013,19.308694072325117,21.023527584912813,17.007346883868042,17.889876611414437,15.489522857061926,14.677797307585639,13.286776587140213,16.062971262771317,17.72592320666638,18.947632456659584,19.763978126256667,18.36717728179142,18.96925788763246,21.055829878899765,17.729068447464883,22.282942071707335,18.799045322792832,19.625380405684346,18.11359246633873,19.133722847904444,20.945232060732824,17.087663560038216,17.45870082211764,13.906739179492387,13.206821304866326,16.076366285192925,13.292303957706359,13.229191383924158,9.97162815003743,9.900134348063688,7.449627502654932,8.747027801232486,8.639158947795488,7.521033045851239,11.623916042989384,12.18786120207033,15.95017813673424,17.70070452787154,21.668534280712155,24.473454557530445,28.361044799979485,31.226522518433853,36.12057040495509,33.82529747318592,30.12406292646211,26.308767359951002,25.022808985888513,21.655442974221774,19.59153725807679,13.856938780632522,12.84355162665074,8.211592777356083,7.916537207819067,4.989017733793909,5.333375562328269,7.997202287576263,9.877176879147866,12.49225427630501,10.634891967197401,10.715216452712719,8.95638740495128,8.556207750779148,10.950457051874924,13.385544767768241,17.520119533357292,18.270959601680033,21.27212037219879,16.530237269400416,17.907221069997043,12.689002669165003,15.902531435739142,15.509179723488604,15.12029242058436,11.606576497354096,10.812010234120132,9.564314538201282,10.789643570093949,6.826675060005048,9.91110047477835,11.45791135723242,9.892774094322144,13.192973095420905,14.648123975112707,17.572722166274243,21.02853359664012,20.20951740213495,23.442599725391915,25.987764005799203,25.50661396911026,30.35741187459796,30.48392067230444,28.246919963473303,31.256352616787208,34.54304024798572,33.557264617745325,32.948259388642796,36.618352857025045,38.85593544672837,37.15030393702182,39.06972592405558,42.248886385791096,41.3450234051941,40.980237963170495,44.26799246254554,42.013640708189385,46.22931669093528,43.21072107873506,41.510961841991026,44.781698773891854,45.86796888040052,50.87612559680406,48.9803800121125,46.92812391077855,43.27215234772704,43.04849973118097,38.86630377747442,40.43223595750068,41.867213832506636,36.663135752422264,35.385258063728514,37.94382483507176,36.370623636724346,32.5608917788941,32.573199091932885,35.08034546829262,33.37960428417843,27.517685881361366,29.592672036620808,27.23367011635293,30.5570976253971,33.74916637024205,33.80514862280644,38.25254666522888,34.4361707331642,32.35942067454132,37.91331617652835,37.86259703528465,33.94924271255278,36.392887420362555,40.23424851205638,39.89070902356156,38.82640693049317,42.737673731261886,44.815410046391705,43.317828791152365,44.329361616242515,46.94350487914895,44.69856889982417,44.23573334823784,40.457080986061435,42.3955316120187,44.755242968834715,39.90475802615577,38.86729951810196,42.05910617369226,41.221473866601656,36.512267365151416,40.31598399754133,42.59640912412149,38.18401505453388,35.78245851993003,40.535339426277424,41.91779918299364,38.87627051391325,37.08656777040307,40.56004849514788,39.524143960845656,42.61945488084576,39.153780148042685,37.133791643304676,36.10686459115937,36.44441805246072,34.0429654726699,34.390465326129274,31.02541530427982,31.14100270489943,27.521891525394157,25.14405256270708,22.9280430165788,29.3363915055232,29.128783967491888,32.821923559934405,30.967764429690117,29.20884704645082,34.2852779342564,34.828275838752944,30.07942264807995,33.71511577149033,37.72893678553643,37.97131724668661,35.596838358124465,35.581685369919235,38.28593007188576]],"stdvs":[[0.5187206783699461,0.4264708847954843,0.5472000938598285,0.324157943425498,0.4151587141483713,0.5210742881107643,0.5259683759031186,0.7752300874591959,0.7439125619435781,0.6662094228664693,0.8093670111186929,1.0408387723685564,0.7596885145495405,0.6922084726385499,0.9013735381437104,0.8505888508303696,0.7295513306376994,0.7411505845788209,0.6627555356141009,0.6438259891250669,0.6484088779443984,0.6791385228867567,0.6849003330529192,0.8500950837056745,0.7474011501408852,0.659348755292065,0.5982677905879065,0.6000505374098086,0.7233094720897462,0.8195436461806794,0.9342015916452523,0.9963644750134651,1.1205863835917242,1.0869435553085225,0.9595559870710538,0.8365776750751385,0.8378040068204906,0.7298504540795585,0.6486183623914702,0.6510743600903967,0.589263881929628,0.663563421857449,0.6734043457056068,0.7299530457349601,1.0191212308017523,1.4504545760699146,1.4350963871447295,0.8530342387652526,0.7834037787741628,0.8707204905785396,0.8421422399629234,0.7209380525115968,0.7293888577110533,0.6817888725383162,1.0633769160671287,0.7422567791546264,0.7679811171149605,0.8613958701943365,0.9533521205138098,0.9869652450160186,0.8177197404523017,0.921708427473944,0.9012373181437561,0.8599778756101403,0.7138118732731707,0.7826989918898767,0.8996218965582065,0.7555003185054145,0.7901364353057946,0.7909821510623822,0.941691050562077,1.2397611283915935,0.9437883798591808,0.9373992719592289,0.9207689172557424,1.22185033508171,0.8480373361501162,0.9557736286904038,0.9271455845462054,0.8715745236035913,0.9666917022772824,0.886792381859579,1.1318553324155596,0.7658547643410363,0.6806346677105433,0.7664143902205511,0.770694897228857,0.9660480208077117,0.8319282938506795,1.0519945915898548,0.9722323550004077,1.0779014385244914,1.09487568720961,1.1605850221676226,1.0933722864133406,1.2185638263614198,1.1390868424741813,1.175643642597993,1.1343863241762022,1.3236479403868362,1.091482745976539,1.173535285839719,0.9830169088655547,0.960352821286338,1.0501383671268743,0.8271578639314499,0.9253412774612289,0.7701166312200742,0.7546404554874169,0.9302348946523609,0.799088319263132,0.6161484890917687,0.596843080975008,0.5336365061954493,0.5950959475356498,0.5044081970284666,0.5601350430438985,0.4747779349983413,0.6227234949163264,0.6321586480455814,0.5449126933553471,0.543380780868192,0.47611913734632444,0.45982061415707987,0.48855271048766014,0.5012737560171313,0.5412200219138495,0.5740825150796867,0.6093292423317404,0.6633121360252027,0.6475224016694056,0.7418199262001065,0.662603627606429,0.7279886292603872,0.6061007441404437,0.5666528474235463,0.7237091359429485,0.5545682824634793,0.4993919762464472,0.4414253154395507,0.5160065090809131,0.5937019628344207,0.5706924659948466,0.4764127181726546,0.5071985539986036,0.5671176682475675,0.5372127096294091,0.641468274732915,0.6724281431906955,0.7319535182690868,0.8741734102738822,0.9989448388109609,1.3361099059905708,1.8450398359655438,1.4766037712435234,1.205075534424717,1.0190626568794525,0.9928558323511206,0.8832856573917081,0.8034622583973587,0.6151993536512559,0.6471558818420687,0.5003661617718034,0.5493170211893753,0.5393880264300371,0.5943908714360315,0.5804800855124272,0.6987922386166942,0.7994710860978056,0.7016040357965813,0.5955251113092438,0.5187003000243634,0.552754088176394,0.6079811196966391,0.641094212370207,0.8085083779269531,0.8324695273008469,1.0981285449278877,0.749800017520051,0.8170501397745676,0.6444313368776996,0.6947908108171731,0.669218012813378,0.6902040543657186,0.6257495466532613,0.6423007801618883,0.6759218921171551,0.684936380272231,0.8955640426281176,0.6911133091604649,0.7435824885063195,0.6294931611528526,0.679183627470917,0.699711817320582,0.7016437860943229,0.7761691598185347,0.7429284438512368,0.7509854822649492,0.790600569007272,0.7741445691871774,0.9156020543922309,0.9293053612870851,0.7970479374490448,0.929155682224445,1.0413118736929325,0.9782159250859972,0.9315244310144564,1.1014450230223936,1.156767261562974,1.0286750840482866,1.2018171847654353,1.2944946433405633,1.1851836134841667,1.21304244039014,1.4326919608446844,1.4295676295396087,1.4897717829796522,1.5012874125765283,1.3506806973736545,1.3948633588726416,1.3895112238013627,1.3795954359372948,1.7258926060279516,1.7925898583261148,1.5799117733649588,1.2750553077321174,1.0912990354234753,1.1459769559031245,1.1255174972774424,1.1947241924115977,1.2206653238720657,1.2413870065075634,1.5480076489585612,1.2088938319315297,1.094072024480561,1.365733204647065,1.1859953234043112,0.9715044539599414,0.9449533887111126,0.9152345532260381,0.9813473593068762,1.0591807831369213,1.0680523658550172,1.387325351719807,1.1661677469747918,1.0584681555380884,1.1307796287994811,1.296802918259073,1.1692927578830996,1.0948435373447443,1.2007572945951055,1.2249802536433019,1.131313027010858,1.2930819551627315,1.3819236338683207,1.3841405833494265,1.367824343964891,1.4569296488601722,1.3704708951329618,1.3201105009097913,1.244602833239506,1.2571480294510384,1.2961204955255368,1.2365146339580237,1.2968309546823684,1.3275249163475062,1.347567909131668,1.2062108575003179,1.3297825109153363,1.5172770818994348,1.2909000726557953,1.2175783252666967,1.3762833316740295,1.4672383423578934,1.360662925461237,1.330225982891472,1.5383634815835712,1.5478314930230916,1.8903560806149358,1.4165364599174417,1.204497779866159,1.1049204950960032,1.3131935051793586,1.2024298867132914,1.2433608005524859,1.1791840853772964,1.014279957585105,0.7033478856262996,0.7093139577163892,0.6180973098667718,0.6240604341856127,0.9506068070337501,1.1540007334939466,1.0873745256286007,0.8847625500166973,1.0955352303727792,0.9339651910159986,0.8650728448663514,0.6966928028060179,1.0350974146115994,0.9501025526517901,1.7776792585934786,2.7155516622540046,3.053204572930117,0.6033535871319574,0.620255582143255,0.7019926050069782,0.5483097265492836,0.54622541138956,0.48659961365719917,0.4259097033904803,0.42865415445456734,0.5203115513137169,0.6354651633237036,0.7400372047984515,0.6610079609286883,0.6597860581727301,0.7887198477248498,0.7813767676912416,0.7458504057981836,0.7710535545050998,0.844862809071852,1.0140807852481164,0.8552808667555357,0.9325721361169181,0.7477590683942744,0.962102722758166,1.1533830673843324,0.9685610042259424,1.071753943324437,0.8458810061578577,0.8496725229621443,0.7725499976444593,0.6786519811467889,0.7876675548328447,0.646076672132928,0.6792495701901645,0.7127236658128404,0.690584692146374,0.7351216861514762,0.6403364669239997,0.7752361309459369,0.6512903200521539,0.5433320180318146,0.6546989903383297,0.7182538744268225,0.6299450665141132,0.6909076488923861,0.7573643753007103,0.9554521069478678,1.119212506755977,0.8107235009079096,1.1103759066811463,1.4786229221316227,1.4065967770615813,2.3273799586641237,1.1402692310302256,1.0927370263963316,1.1626387420449387,0.7453676028446341,0.7037703604777505,0.7880253410840689,0.7228567124810334,0.9248561476378164,0.8406409461504957,0.7994084036874252,0.7837921516845826,0.8549319538018125,0.8206378887519373,0.7846120006577751,0.9694698673059368,0.8590420850095261,0.9981294535023562,0.960870302411801,1.0836451846999589,1.2052419001058345,0.9738498690190253,0.9831541154584474,0.8687653782254898,1.1496208263499457,0.8379491717135292,0.7329586274250206,0.6864298799755403,0.6886472231647494,0.6049809440512396,0.6959229840072111,0.6520429833431998,0.761569384806572,0.5603135777996006,0.5790095774172613,0.6374014255673985,0.6626723324637618,0.7028739213775781,0.7078044244450565,0.7924328824926046,1.0434690505405075,0.9475062346873128,0.7919740737297283,0.768332544226947,0.81425259014249,0.9319736851542221,0.7220911153823413,0.7058304349522403,0.6037704969590136,0.5904776544258283,0.524406893564863,0.574319104171767,0.5759388203686003,0.6576888373514578,0.7178694018138753,1.0367796777311948,0.8439348247322876,0.6323983205898641,0.5691581887394963,0.532492422909471,0.4459396359834991,0.42582206744845386,0.44783067500883733,0.5472378683078833,0.6176527592762409,0.7738974226280503,0.8888071888247077,1.1903975432386995,0.9810614974920869,0.9480756389066338,0.8037496988284997,0.7607196361613946,0.6419634948724152,0.5335607151100681,0.5142691872752503,0.4758083689155739,0.538961270706579,0.603557025394341,0.5837158547699944,0.689158842748224,0.8301214332286728,0.925670016547362,0.7854646058353845,0.7545231907989361,0.526803826652916,0.6527364082614163,0.4557089349723098,0.3348201964843981,0.37331039730630655,0.6750926706785979,1.0238837091710442,1.0173716919434959,0.77257646926535,0.7451726628618542,0.7333023440946617,0.5977244699025139,0.5502662642454351,0.4526675840680932,0.47312230338632094,0.4341692643896768,0.47060501335321625,0.6131535844265046,0.6092920380656537,0.6452726875940008,0.5278598155192776,0.5513999511844702,0.4590722397957364,0.5060923689356157,0.5904356682664913,0.4865634588465534,0.5174921902072032,0.45708727333751387,0.5420031962601806,0.6436694033475576,0.567869480495213,0.9967935567317346,1.020160973825887,0.9454466830084804,0.8387291684524125,0.7348396688855783,0.49722253244219716,0.5979147025459269,0.5793718976556835,0.5099190616403865,0.51019522872943,0.5406108326096184,0.5719016682427206,0.5954612004254907,0.6084685556407259,0.6851300915129462,0.6973794443104051,0.8923042571246383,0.9557440549676864,0.9205570900390531,0.7886868269873988,0.5508787418227983,0.5829688576354348,0.900499501010341,0.8920998545299028,1.0615666093480463,0.9864226912283663,1.3012832581164746,1.2255501708296401,1.1067620415067378,1.065456876349562,0.8770330328453255,0.8562599793904867,0.7990417775347916,0.7036451907804157,0.7774494260255536,0.6899365762589376,0.6152452233128674,0.5969401115283806,0.6234306985333262,0.6815976423441463,0.7225826278080415,0.6623192204676477,0.6288920671350121,0.769271498723426,0.7162613956399699,0.694354777788754,0.9371319385901441,1.0017092434540886,0.8127295030496102,0.8221573651003635,0.8538619114105325,0.7230911951361765,0.6386165936571907,0.6456699055916739,0.7876673227133089,1.3123582372398317,1.1683258977107511,1.2402686158347491,1.2745379700832893,1.3042687733379472,1.1942613058767049,1.3731895337562174,1.228991208102309,1.3255052218810597,1.1332969702047988,1.2770249999296437,1.3728689194350678,1.2910821153258187,1.4309582329058517,1.4628274915121817,1.1773783093405392,1.4506416858779758,0.8327318226735145,0.9419649987867601,1.1084123849518628,0.9677509399320058,1.1874932635184672,1.2678994468958757,1.335684283195712,1.0151839819143915,0.9983586205957837,1.1753952410080506,0.920103271317043,0.7240168660496278,0.7715584927142426,0.8136060617312477,0.6753023625770301,0.7073505923335951,0.737377720943573,0.8486238490800292,0.7334885001349967,0.6531114640149617,0.6130393920802208,0.6971890661370889,0.7804531515226091,0.8476297216267188,0.731542938674525,0.6509440196418391,0.8147353163328687,0.8352184397436027,0.7436837135983895,0.7956148534714714,1.02583215785137,0.9483927211025729,0.830794592779295,0.9705115259510876,1.2237126628367878,1.0357782779140459,0.9889004801695715,0.89500882661853,1.4587623222140313,1.54681546859202,0.8590004668162698,0.9381887793308565,0.7703618741451657,0.8338517870091029,1.1228820428226949,0.9895461089535357,0.9445996778658118,0.8578769273642667,0.6402855369032625,0.6077423116813244,0.6010672928188243,0.5019448989131264,0.831662277495567,0.6410643772388394,0.6914528326410171,1.1302973865810364,0.8367848234730001,0.792680462882978,0.5819799225311719,0.4769338422480123,0.5403739343931503,0.5354635805921873,0.5801408032024096,0.7422020010873983,1.590720743365242,1.9363052429587033]]}]}